Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,2,Mod(14,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.x (of order \(18\), degree \(6\), 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: | \(1.36544187456\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 110.13 | ||
Character | \(\chi\) | \(=\) | 171.110 |
Dual form | 171.2.x.a.14.13 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.12318 | − | 0.942457i | 0.794206 | − | 0.666418i | −0.152577 | − | 0.988292i | \(-0.548757\pi\) |
0.946783 | + | 0.321874i | \(0.104313\pi\) | |||||||
\(3\) | −1.13434 | + | 1.30892i | −0.654912 | + | 0.755706i | ||||
\(4\) | 0.0260041 | − | 0.147477i | 0.0130020 | − | 0.0737383i | ||||
\(5\) | −0.668800 | + | 1.83751i | −0.299096 | + | 0.821761i | 0.695555 | + | 0.718473i | \(0.255159\pi\) |
−0.994652 | + | 0.103288i | \(0.967064\pi\) | |||||||
\(6\) | −0.0404630 | + | 2.53922i | −0.0165190 | + | 1.03663i | ||||
\(7\) | 1.13552 | + | 1.96677i | 0.429185 | + | 0.743370i | 0.996801 | − | 0.0799232i | \(-0.0254675\pi\) |
−0.567616 | + | 0.823293i | \(0.692134\pi\) | |||||||
\(8\) | 1.35642 | + | 2.34939i | 0.479567 | + | 0.830634i | ||||
\(9\) | −0.426545 | − | 2.96952i | −0.142182 | − | 0.989841i | ||||
\(10\) | 0.980596 | + | 2.69417i | 0.310092 | + | 0.851970i | ||||
\(11\) | − | 2.71236i | − | 0.817808i | −0.912577 | − | 0.408904i | \(-0.865911\pi\) | ||
0.912577 | − | 0.408904i | \(-0.134089\pi\) | |||||||
\(12\) | 0.163538 | + | 0.201326i | 0.0472092 | + | 0.0581178i | ||||
\(13\) | −0.159200 | − | 0.437399i | −0.0441542 | − | 0.121313i | 0.915656 | − | 0.401963i | \(-0.131672\pi\) |
−0.959810 | + | 0.280650i | \(0.909450\pi\) | |||||||
\(14\) | 3.12899 | + | 1.13886i | 0.836256 | + | 0.304372i | ||||
\(15\) | −1.64651 | − | 2.95977i | −0.425127 | − | 0.764209i | ||||
\(16\) | 4.01914 | + | 1.46285i | 1.00478 | + | 0.365712i | ||||
\(17\) | 0.305357 | − | 0.838961i | 0.0740599 | − | 0.203478i | −0.897139 | − | 0.441749i | \(-0.854358\pi\) |
0.971199 | + | 0.238271i | \(0.0765806\pi\) | |||||||
\(18\) | −3.27773 | − | 2.93330i | −0.772569 | − | 0.691385i | ||||
\(19\) | 4.01881 | − | 1.68795i | 0.921978 | − | 0.387242i | ||||
\(20\) | 0.253598 | + | 0.146415i | 0.0567063 | + | 0.0327394i | ||||
\(21\) | −3.86241 | − | 0.744688i | −0.842847 | − | 0.162504i | ||||
\(22\) | −2.55629 | − | 3.04646i | −0.545002 | − | 0.649508i | ||||
\(23\) | −6.24730 | − | 1.10157i | −1.30265 | − | 0.229693i | −0.521080 | − | 0.853508i | \(-0.674471\pi\) |
−0.781572 | + | 0.623815i | \(0.785582\pi\) | |||||||
\(24\) | −4.61380 | − | 0.889560i | −0.941789 | − | 0.181581i | ||||
\(25\) | 0.901063 | + | 0.756082i | 0.180213 | + | 0.151216i | ||||
\(26\) | −0.591040 | − | 0.341237i | −0.115913 | − | 0.0669221i | ||||
\(27\) | 4.37071 | + | 2.81013i | 0.841144 | + | 0.540811i | ||||
\(28\) | 0.319581 | − | 0.116318i | 0.0603951 | − | 0.0219820i | ||||
\(29\) | 1.09262 | − | 6.19653i | 0.202894 | − | 1.15067i | −0.697826 | − | 0.716267i | \(-0.745849\pi\) |
0.900720 | − | 0.434400i | \(-0.143040\pi\) | |||||||
\(30\) | −4.63878 | − | 1.77258i | −0.846921 | − | 0.323627i | ||||
\(31\) | 5.62872i | 1.01095i | 0.862842 | + | 0.505474i | \(0.168682\pi\) | ||||
−0.862842 | + | 0.505474i | \(0.831318\pi\) | |||||||
\(32\) | 0.794402 | − | 0.289139i | 0.140432 | − | 0.0511130i | ||||
\(33\) | 3.55027 | + | 3.07674i | 0.618022 | + | 0.535592i | ||||
\(34\) | −0.447715 | − | 1.23009i | −0.0767825 | − | 0.210958i | ||||
\(35\) | −4.37340 | + | 0.771149i | −0.739240 | + | 0.130348i | ||||
\(36\) | −0.449027 | − | 0.0143143i | −0.0748378 | − | 0.00238572i | ||||
\(37\) | − | 6.58174i | − | 1.08203i | −0.841012 | − | 0.541016i | \(-0.818040\pi\) | ||
0.841012 | − | 0.541016i | \(-0.181960\pi\) | |||||||
\(38\) | 2.92301 | − | 5.68342i | 0.474175 | − | 0.921973i | ||||
\(39\) | 0.753108 | + | 0.287779i | 0.120594 | + | 0.0460815i | ||||
\(40\) | −5.22420 | + | 0.921168i | −0.826019 | + | 0.145649i | ||||
\(41\) | 6.32337 | − | 5.30594i | 0.987545 | − | 0.828649i | 0.00233446 | − | 0.999997i | \(-0.499257\pi\) |
0.985210 | + | 0.171349i | \(0.0548125\pi\) | |||||||
\(42\) | −5.04001 | + | 2.80374i | −0.777690 | + | 0.432627i | ||||
\(43\) | 1.22288 | + | 6.93529i | 0.186487 | + | 1.05762i | 0.924030 | + | 0.382321i | \(0.124875\pi\) |
−0.737542 | + | 0.675301i | \(0.764014\pi\) | |||||||
\(44\) | −0.400010 | − | 0.0705325i | −0.0603037 | − | 0.0106332i | ||||
\(45\) | 5.74181 | + | 1.20223i | 0.855938 | + | 0.179218i | ||||
\(46\) | −8.05501 | + | 4.65056i | −1.18765 | + | 0.685688i | ||||
\(47\) | 3.78521 | + | 0.667435i | 0.552130 | + | 0.0973553i | 0.442751 | − | 0.896645i | \(-0.354003\pi\) |
0.109379 | + | 0.994000i | \(0.465114\pi\) | |||||||
\(48\) | −6.47382 | + | 3.60137i | −0.934415 | + | 0.519812i | ||||
\(49\) | 0.921203 | − | 1.59557i | 0.131600 | − | 0.227939i | ||||
\(50\) | 1.72463 | 0.243899 | ||||||||
\(51\) | 0.751754 | + | 1.35135i | 0.105267 | + | 0.189227i | ||||
\(52\) | −0.0686460 | + | 0.0121041i | −0.00951949 | + | 0.00167854i | ||||
\(53\) | −9.68783 | − | 8.12906i | −1.33073 | − | 1.11661i | −0.983907 | − | 0.178680i | \(-0.942817\pi\) |
−0.346819 | − | 0.937932i | \(-0.612738\pi\) | |||||||
\(54\) | 7.55752 | − | 0.962934i | 1.02845 | − | 0.131039i | ||||
\(55\) | 4.98400 | + | 1.81403i | 0.672042 | + | 0.244603i | ||||
\(56\) | −3.08048 | + | 5.33554i | −0.411646 | + | 0.712991i | ||||
\(57\) | −2.34930 | + | 7.17501i | −0.311173 | + | 0.950353i | ||||
\(58\) | −4.61277 | − | 7.98954i | −0.605686 | − | 1.04908i | ||||
\(59\) | 0.779418 | + | 4.42030i | 0.101472 | + | 0.575474i | 0.992571 | + | 0.121666i | \(0.0388236\pi\) |
−0.891100 | + | 0.453808i | \(0.850065\pi\) | |||||||
\(60\) | −0.479313 | + | 0.165856i | −0.0618790 | + | 0.0214119i | ||||
\(61\) | −8.05643 | + | 2.93230i | −1.03152 | + | 0.375443i | −0.801659 | − | 0.597781i | \(-0.796049\pi\) |
−0.229860 | + | 0.973224i | \(0.573827\pi\) | |||||||
\(62\) | 5.30483 | + | 6.32205i | 0.673714 | + | 0.802901i | ||||
\(63\) | 5.35603 | − | 4.21086i | 0.674796 | − | 0.530518i | ||||
\(64\) | −3.65732 | + | 6.33467i | −0.457166 | + | 0.791834i | ||||
\(65\) | 0.910200 | 0.112896 | ||||||||
\(66\) | 6.88727 | + | 0.109750i | 0.847765 | + | 0.0135093i | ||||
\(67\) | 1.97625 | − | 2.35520i | 0.241437 | − | 0.287733i | −0.631695 | − | 0.775217i | \(-0.717641\pi\) |
0.873132 | + | 0.487483i | \(0.162085\pi\) | |||||||
\(68\) | −0.115786 | − | 0.0668493i | −0.0140412 | − | 0.00810667i | ||||
\(69\) | 8.52843 | − | 6.92767i | 1.02670 | − | 0.833993i | ||||
\(70\) | −4.18533 | + | 4.98788i | −0.500243 | + | 0.596166i | ||||
\(71\) | 0.0740818 | − | 0.0621620i | 0.00879190 | − | 0.00737728i | −0.638381 | − | 0.769720i | \(-0.720396\pi\) |
0.647173 | + | 0.762343i | \(0.275951\pi\) | |||||||
\(72\) | 6.39799 | − | 5.03004i | 0.754010 | − | 0.592796i | ||||
\(73\) | 1.14388 | + | 6.48728i | 0.133881 | + | 0.759279i | 0.975632 | + | 0.219413i | \(0.0704141\pi\) |
−0.841751 | + | 0.539866i | \(0.818475\pi\) | |||||||
\(74\) | −6.20301 | − | 7.39246i | −0.721085 | − | 0.859356i | ||||
\(75\) | −2.01176 | + | 0.321766i | −0.232298 | + | 0.0371543i | ||||
\(76\) | −0.144428 | − | 0.636574i | −0.0165670 | − | 0.0730200i | ||||
\(77\) | 5.33460 | − | 3.07993i | 0.607934 | − | 0.350991i | ||||
\(78\) | 1.11709 | − | 0.386546i | 0.126486 | − | 0.0437677i | ||||
\(79\) | 4.08113 | − | 11.2128i | 0.459163 | − | 1.26154i | −0.466946 | − | 0.884286i | \(-0.654646\pi\) |
0.926109 | − | 0.377255i | \(-0.123132\pi\) | |||||||
\(80\) | −5.37600 | + | 6.40687i | −0.601055 | + | 0.716309i | ||||
\(81\) | −8.63612 | + | 2.53327i | −0.959569 | + | 0.281474i | ||||
\(82\) | 2.10164 | − | 11.9190i | 0.232088 | − | 1.31624i | ||||
\(83\) | −3.19959 | + | 1.84728i | −0.351200 | + | 0.202766i | −0.665214 | − | 0.746653i | \(-0.731660\pi\) |
0.314013 | + | 0.949419i | \(0.398326\pi\) | |||||||
\(84\) | −0.210263 | + | 0.550250i | −0.0229415 | + | 0.0600372i | ||||
\(85\) | 1.33738 | + | 1.12219i | 0.145059 | + | 0.121719i | ||||
\(86\) | 7.90972 | + | 6.63705i | 0.852927 | + | 0.715691i | ||||
\(87\) | 6.87137 | + | 8.45912i | 0.736688 | + | 0.906913i | ||||
\(88\) | 6.37239 | − | 3.67910i | 0.679299 | − | 0.392194i | ||||
\(89\) | 1.41419 | − | 8.02027i | 0.149904 | − | 0.850147i | −0.813394 | − | 0.581713i | \(-0.802383\pi\) |
0.963298 | − | 0.268434i | \(-0.0865062\pi\) | |||||||
\(90\) | 7.58212 | − | 4.06109i | 0.799225 | − | 0.428076i | ||||
\(91\) | 0.679491 | − | 0.809785i | 0.0712300 | − | 0.0848886i | ||||
\(92\) | −0.324911 | + | 0.892685i | −0.0338743 | + | 0.0930689i | ||||
\(93\) | −7.36754 | − | 6.38488i | −0.763979 | − | 0.662081i | ||||
\(94\) | 4.88049 | − | 2.81775i | 0.503384 | − | 0.290629i | ||||
\(95\) | 0.413851 | + | 8.51351i | 0.0424602 | + | 0.873468i | ||||
\(96\) | −0.522662 | + | 1.36779i | −0.0533440 | + | 0.139599i | ||||
\(97\) | −2.63287 | − | 3.13774i | −0.267328 | − | 0.318589i | 0.615635 | − | 0.788031i | \(-0.288899\pi\) |
−0.882963 | + | 0.469442i | \(0.844455\pi\) | |||||||
\(98\) | −0.469083 | − | 2.66030i | −0.0473846 | − | 0.268731i | ||||
\(99\) | −8.05442 | + | 1.15694i | −0.809500 | + | 0.116277i | ||||
\(100\) | 0.134936 | − | 0.113224i | 0.0134936 | − | 0.0113224i | ||||
\(101\) | −4.70578 | + | 5.60812i | −0.468242 | + | 0.558029i | −0.947546 | − | 0.319620i | \(-0.896445\pi\) |
0.479304 | + | 0.877649i | \(0.340889\pi\) | |||||||
\(102\) | 2.11795 | + | 0.809313i | 0.209708 | + | 0.0801340i | ||||
\(103\) | 13.1970 | + | 7.61930i | 1.30034 | + | 0.750752i | 0.980462 | − | 0.196707i | \(-0.0630248\pi\) |
0.319878 | + | 0.947459i | \(0.396358\pi\) | |||||||
\(104\) | 0.811679 | − | 0.967321i | 0.0795916 | − | 0.0948536i | ||||
\(105\) | 3.95155 | − | 6.59918i | 0.385632 | − | 0.644014i | ||||
\(106\) | −18.5424 | −1.80100 | ||||||||
\(107\) | −6.36486 | + | 11.0243i | −0.615314 | + | 1.06576i | 0.375015 | + | 0.927019i | \(0.377637\pi\) |
−0.990329 | + | 0.138737i | \(0.955696\pi\) | |||||||
\(108\) | 0.528085 | − | 0.571503i | 0.0508150 | − | 0.0549929i | ||||
\(109\) | −12.0769 | − | 14.3927i | −1.15676 | − | 1.37857i | −0.912611 | − | 0.408829i | \(-0.865937\pi\) |
−0.244144 | − | 0.969739i | \(-0.578507\pi\) | |||||||
\(110\) | 7.30756 | − | 2.65973i | 0.696748 | − | 0.253596i | ||||
\(111\) | 8.61498 | + | 7.46594i | 0.817698 | + | 0.708635i | ||||
\(112\) | 1.68671 | + | 9.56582i | 0.159379 | + | 0.903885i | ||||
\(113\) | 9.41654 | + | 16.3099i | 0.885834 | + | 1.53431i | 0.844755 | + | 0.535153i | \(0.179746\pi\) |
0.0410789 | + | 0.999156i | \(0.486921\pi\) | |||||||
\(114\) | 4.12346 | + | 10.2729i | 0.386197 | + | 0.962147i | ||||
\(115\) | 6.20234 | − | 10.7428i | 0.578371 | − | 1.00177i | ||||
\(116\) | −0.885431 | − | 0.322270i | −0.0822102 | − | 0.0299221i | ||||
\(117\) | −1.23096 | + | 0.659320i | −0.113802 | + | 0.0609541i | ||||
\(118\) | 5.04136 | + | 4.23021i | 0.464095 | + | 0.389422i | ||||
\(119\) | 1.99678 | − | 0.352087i | 0.183045 | − | 0.0322757i | ||||
\(120\) | 4.72029 | − | 7.88299i | 0.430901 | − | 0.719615i | ||||
\(121\) | 3.64309 | 0.331190 | ||||||||
\(122\) | −6.28523 | + | 10.8863i | −0.569038 | + | 0.985602i | ||||
\(123\) | −0.227803 | + | 14.2955i | −0.0205403 | + | 1.28898i | ||||
\(124\) | 0.830104 | + | 0.146370i | 0.0745455 | + | 0.0131444i | ||||
\(125\) | −10.4592 | + | 6.03865i | −0.935503 | + | 0.540113i | ||||
\(126\) | 2.04721 | − | 9.77736i | 0.182380 | − | 0.871037i | ||||
\(127\) | −2.54311 | − | 0.448419i | −0.225664 | − | 0.0397907i | 0.0596725 | − | 0.998218i | \(-0.480994\pi\) |
−0.285337 | + | 0.958427i | \(0.592105\pi\) | |||||||
\(128\) | 2.15593 | + | 12.2269i | 0.190559 | + | 1.08072i | ||||
\(129\) | −10.4649 | − | 6.26633i | −0.921383 | − | 0.551719i | ||||
\(130\) | 1.02232 | − | 0.857825i | 0.0896630 | − | 0.0752362i | ||||
\(131\) | −15.8699 | + | 2.79830i | −1.38656 | + | 0.244488i | −0.816610 | − | 0.577189i | \(-0.804149\pi\) |
−0.569952 | + | 0.821678i | \(0.693038\pi\) | |||||||
\(132\) | 0.546069 | − | 0.443573i | 0.0475292 | − | 0.0386081i | ||||
\(133\) | 7.88324 | + | 5.98739i | 0.683564 | + | 0.519172i | ||||
\(134\) | − | 4.50783i | − | 0.389418i | ||||||
\(135\) | −8.08679 | + | 6.15183i | −0.696000 | + | 0.529465i | ||||
\(136\) | 2.38524 | − | 0.420582i | 0.204532 | − | 0.0360646i | ||||
\(137\) | −0.968410 | − | 2.66068i | −0.0827369 | − | 0.227318i | 0.891425 | − | 0.453168i | \(-0.149706\pi\) |
−0.974162 | + | 0.225850i | \(0.927484\pi\) | |||||||
\(138\) | 3.04990 | − | 15.8187i | 0.259625 | − | 1.34658i | ||||
\(139\) | −8.56504 | + | 3.11742i | −0.726477 | + | 0.264416i | −0.678673 | − | 0.734441i | \(-0.737445\pi\) |
−0.0478042 | + | 0.998857i | \(0.515222\pi\) | |||||||
\(140\) | 0.665027i | 0.0562051i | ||||||||
\(141\) | −5.16733 | + | 4.19744i | −0.435168 | + | 0.353488i | ||||
\(142\) | 0.0246219 | − | 0.139638i | 0.00206623 | − | 0.0117182i | ||||
\(143\) | −1.18639 | + | 0.431809i | −0.0992106 | + | 0.0361097i | ||||
\(144\) | 2.62961 | − | 12.5589i | 0.219134 | − | 1.04657i | ||||
\(145\) | 10.6555 | + | 6.15194i | 0.884888 | + | 0.510890i | ||||
\(146\) | 7.39877 | + | 6.20830i | 0.612326 | + | 0.513803i | ||||
\(147\) | 1.04352 | + | 3.01570i | 0.0860679 | + | 0.248731i | ||||
\(148\) | −0.970653 | − | 0.171152i | −0.0797872 | − | 0.0140686i | ||||
\(149\) | −5.53240 | − | 6.59326i | −0.453232 | − | 0.540141i | 0.490242 | − | 0.871586i | \(-0.336908\pi\) |
−0.943475 | + | 0.331445i | \(0.892464\pi\) | |||||||
\(150\) | −1.95631 | + | 2.25740i | −0.159732 | + | 0.184316i | ||||
\(151\) | −20.2971 | − | 11.7185i | −1.65175 | − | 0.953641i | −0.976351 | − | 0.216194i | \(-0.930636\pi\) |
−0.675404 | − | 0.737448i | \(-0.736031\pi\) | |||||||
\(152\) | 9.41684 | + | 7.15217i | 0.763807 | + | 0.580118i | ||||
\(153\) | −2.62156 | − | 0.548909i | −0.211941 | − | 0.0443767i | ||||
\(154\) | 3.08899 | − | 8.48694i | 0.248918 | − | 0.683897i | ||||
\(155\) | −10.3428 | − | 3.76449i | −0.830757 | − | 0.302371i | ||||
\(156\) | 0.0620246 | − | 0.103582i | 0.00496594 | − | 0.00829323i | ||||
\(157\) | −2.97923 | − | 1.08435i | −0.237769 | − | 0.0865408i | 0.220388 | − | 0.975412i | \(-0.429268\pi\) |
−0.458156 | + | 0.888872i | \(0.651490\pi\) | |||||||
\(158\) | −5.98377 | − | 16.4403i | −0.476043 | − | 1.30792i | ||||
\(159\) | 21.6296 | − | 3.45949i | 1.71534 | − | 0.274355i | ||||
\(160\) | 1.65310i | 0.130689i | ||||||||
\(161\) | −4.92738 | − | 13.5379i | −0.388332 | − | 1.06693i | ||||
\(162\) | −7.31239 | + | 10.9845i | −0.574516 | + | 0.863022i | ||||
\(163\) | −6.44122 | − | 11.1565i | −0.504516 | − | 0.873847i | −0.999986 | − | 0.00522210i | \(-0.998338\pi\) |
0.495471 | − | 0.868625i | \(-0.334996\pi\) | |||||||
\(164\) | −0.618068 | − | 1.07053i | −0.0482630 | − | 0.0835940i | ||||
\(165\) | −8.02797 | + | 4.46593i | −0.624977 | + | 0.347673i | ||||
\(166\) | −1.85272 | + | 5.09030i | −0.143799 | + | 0.395084i | ||||
\(167\) | 0.352626 | − | 1.99984i | 0.0272870 | − | 0.154752i | −0.968120 | − | 0.250488i | \(-0.919409\pi\) |
0.995407 | + | 0.0957352i | \(0.0305202\pi\) | |||||||
\(168\) | −3.48949 | − | 10.0844i | −0.269220 | − | 0.778029i | ||||
\(169\) | 9.79260 | − | 8.21697i | 0.753277 | − | 0.632075i | ||||
\(170\) | 2.55973 | 0.196322 | ||||||||
\(171\) | −6.72661 | − | 11.2140i | −0.514397 | − | 0.857552i | ||||
\(172\) | 1.05459 | 0.0804119 | ||||||||
\(173\) | 4.79895 | − | 4.02680i | 0.364858 | − | 0.306152i | −0.441866 | − | 0.897081i | \(-0.645683\pi\) |
0.806723 | + | 0.590929i | \(0.201239\pi\) | |||||||
\(174\) | 15.6901 | + | 3.02512i | 1.18947 | + | 0.229334i | ||||
\(175\) | −0.463869 | + | 2.63073i | −0.0350652 | + | 0.198864i | ||||
\(176\) | 3.96777 | − | 10.9014i | 0.299082 | − | 0.821721i | ||||
\(177\) | −6.66994 | − | 3.99392i | −0.501344 | − | 0.300202i | ||||
\(178\) | −5.97038 | − | 10.3410i | −0.447499 | − | 0.775090i | ||||
\(179\) | 6.00593 | + | 10.4026i | 0.448904 | + | 0.777525i | 0.998315 | − | 0.0580272i | \(-0.0184810\pi\) |
−0.549411 | + | 0.835553i | \(0.685148\pi\) | |||||||
\(180\) | 0.326612 | − | 0.815519i | 0.0243442 | − | 0.0607852i | ||||
\(181\) | −3.01433 | − | 8.28181i | −0.224054 | − | 0.615582i | 0.775828 | − | 0.630944i | \(-0.217332\pi\) |
−0.999882 | + | 0.0153617i | \(0.995110\pi\) | |||||||
\(182\) | − | 1.54992i | − | 0.114888i | ||||||
\(183\) | 5.30058 | − | 13.8714i | 0.391830 | − | 1.02541i | ||||
\(184\) | −5.88595 | − | 16.1715i | −0.433918 | − | 1.19218i | ||||
\(185\) | 12.0940 | + | 4.40187i | 0.889171 | + | 0.323632i | ||||
\(186\) | −14.2925 | − | 0.227755i | −1.04798 | − | 0.0166998i | ||||
\(187\) | −2.27557 | − | 0.828238i | −0.166406 | − | 0.0605668i | ||||
\(188\) | 0.196862 | − | 0.540874i | 0.0143576 | − | 0.0394473i | ||||
\(189\) | −0.563876 | + | 11.7872i | −0.0410159 | + | 0.857389i | ||||
\(190\) | 8.48845 | + | 9.17214i | 0.615817 | + | 0.665417i | ||||
\(191\) | 9.00053 | + | 5.19646i | 0.651256 | + | 0.376003i | 0.788937 | − | 0.614474i | \(-0.210632\pi\) |
−0.137681 | + | 0.990477i | \(0.543965\pi\) | |||||||
\(192\) | −4.14293 | − | 11.9728i | −0.298990 | − | 0.864064i | ||||
\(193\) | −3.50557 | − | 4.17778i | −0.252337 | − | 0.300723i | 0.624974 | − | 0.780645i | \(-0.285109\pi\) |
−0.877311 | + | 0.479922i | \(0.840665\pi\) | |||||||
\(194\) | −5.91437 | − | 1.04286i | −0.424627 | − | 0.0748731i | ||||
\(195\) | −1.03248 | + | 1.19138i | −0.0739372 | + | 0.0853165i | ||||
\(196\) | −0.211354 | − | 0.177347i | −0.0150967 | − | 0.0126677i | ||||
\(197\) | −12.3473 | − | 7.12871i | −0.879708 | − | 0.507900i | −0.00914591 | − | 0.999958i | \(-0.502911\pi\) |
−0.870562 | + | 0.492058i | \(0.836245\pi\) | |||||||
\(198\) | −7.95617 | + | 8.89040i | −0.565420 | + | 0.631813i | ||||
\(199\) | −25.4888 | + | 9.27717i | −1.80685 | + | 0.657641i | −0.809326 | + | 0.587360i | \(0.800167\pi\) |
−0.997527 | + | 0.0702813i | \(0.977610\pi\) | |||||||
\(200\) | −0.554110 | + | 3.14251i | −0.0391815 | + | 0.222209i | ||||
\(201\) | 0.841032 | + | 5.25835i | 0.0593219 | + | 0.370895i | ||||
\(202\) | 10.7339i | 0.755235i | ||||||||
\(203\) | 13.4279 | − | 4.88734i | 0.942451 | − | 0.343024i | ||||
\(204\) | 0.218842 | − | 0.0757254i | 0.0153220 | − | 0.00530184i | ||||
\(205\) | 5.52066 | + | 15.1679i | 0.385580 | + | 1.05937i | ||||
\(206\) | 22.0034 | − | 3.87980i | 1.53305 | − | 0.270318i | ||||
\(207\) | −0.606375 | + | 19.0214i | −0.0421459 | + | 1.32208i | ||||
\(208\) | − | 1.99085i | − | 0.138041i | ||||||
\(209\) | −4.57833 | − | 10.9005i | −0.316690 | − | 0.754001i | ||||
\(210\) | −1.78115 | − | 11.1362i | −0.122911 | − | 0.768472i | ||||
\(211\) | 9.50070 | − | 1.67523i | 0.654055 | − | 0.115328i | 0.163233 | − | 0.986588i | \(-0.447808\pi\) |
0.490822 | + | 0.871260i | \(0.336697\pi\) | |||||||
\(212\) | −1.45077 | + | 1.21734i | −0.0996392 | + | 0.0836072i | ||||
\(213\) | −0.00266884 | + | 0.167480i | −0.000182866 | + | 0.0114755i | ||||
\(214\) | 3.24103 | + | 18.3808i | 0.221552 | + | 1.25649i | ||||
\(215\) | −13.5615 | − | 2.39127i | −0.924890 | − | 0.163083i | ||||
\(216\) | −0.673572 | + | 14.0802i | −0.0458308 | + | 0.958038i | ||||
\(217\) | −11.0704 | + | 6.39150i | −0.751508 | + | 0.433884i | ||||
\(218\) | −27.1289 | − | 4.78357i | −1.83740 | − | 0.323984i | ||||
\(219\) | −9.78889 | − | 5.86153i | −0.661472 | − | 0.396086i | ||||
\(220\) | 0.397131 | − | 0.687851i | 0.0267746 | − | 0.0463749i | ||||
\(221\) | −0.415574 | −0.0279545 | ||||||||
\(222\) | 16.7125 | + | 0.266317i | 1.12167 | + | 0.0178741i | ||||
\(223\) | 19.7149 | − | 3.47627i | 1.32021 | − | 0.232788i | 0.531240 | − | 0.847221i | \(-0.321726\pi\) |
0.788969 | + | 0.614433i | \(0.210615\pi\) | |||||||
\(224\) | 1.47073 | + | 1.23409i | 0.0982670 | + | 0.0824558i | ||||
\(225\) | 1.86086 | − | 2.99823i | 0.124057 | − | 0.199882i | ||||
\(226\) | 25.9479 | + | 9.44425i | 1.72603 | + | 0.628222i | ||||
\(227\) | −0.910422 | + | 1.57690i | −0.0604268 | + | 0.104662i | −0.894656 | − | 0.446755i | \(-0.852580\pi\) |
0.834229 | + | 0.551417i | \(0.185913\pi\) | |||||||
\(228\) | 0.997054 | + | 0.533047i | 0.0660315 | + | 0.0353019i | ||||
\(229\) | 9.64083 | + | 16.6984i | 0.637084 | + | 1.10346i | 0.986069 | + | 0.166334i | \(0.0531930\pi\) |
−0.348985 | + | 0.937128i | \(0.613474\pi\) | |||||||
\(230\) | −3.15827 | − | 17.9115i | −0.208250 | − | 1.18105i | ||||
\(231\) | −2.01986 | + | 10.4763i | −0.132897 | + | 0.689287i | ||||
\(232\) | 16.0401 | − | 5.83812i | 1.05308 | − | 0.383291i | ||||
\(233\) | 15.6068 | + | 18.5995i | 1.02244 | + | 1.21849i | 0.975592 | + | 0.219591i | \(0.0704724\pi\) |
0.0468456 | + | 0.998902i | \(0.485083\pi\) | |||||||
\(234\) | −0.761206 | + | 1.90066i | −0.0497616 | + | 0.124250i | ||||
\(235\) | −3.75797 | + | 6.50899i | −0.245143 | + | 0.424600i | ||||
\(236\) | 0.672158 | 0.0437538 | ||||||||
\(237\) | 10.0473 | + | 18.0610i | 0.652642 | + | 1.17319i | ||||
\(238\) | 1.91091 | − | 2.27734i | 0.123866 | − | 0.147618i | ||||
\(239\) | 6.41255 | + | 3.70229i | 0.414794 | + | 0.239481i | 0.692847 | − | 0.721084i | \(-0.256356\pi\) |
−0.278054 | + | 0.960566i | \(0.589689\pi\) | |||||||
\(240\) | −2.28787 | − | 14.3043i | −0.147681 | − | 0.923340i | ||||
\(241\) | −8.95380 | + | 10.6707i | −0.576765 | + | 0.687361i | −0.973005 | − | 0.230786i | \(-0.925870\pi\) |
0.396240 | + | 0.918147i | \(0.370315\pi\) | |||||||
\(242\) | 4.09183 | − | 3.43346i | 0.263033 | − | 0.220711i | ||||
\(243\) | 6.48045 | − | 14.1776i | 0.415721 | − | 0.909492i | ||||
\(244\) | 0.222945 | + | 1.26439i | 0.0142726 | + | 0.0809440i | ||||
\(245\) | 2.31578 | + | 2.75984i | 0.147950 | + | 0.176320i | ||||
\(246\) | 13.2171 | + | 16.2711i | 0.842689 | + | 1.03741i | ||||
\(247\) | −1.37810 | − | 1.48910i | −0.0876867 | − | 0.0947493i | ||||
\(248\) | −13.2240 | + | 7.63491i | −0.839728 | + | 0.484817i | ||||
\(249\) | 1.21147 | − | 6.28345i | 0.0767741 | − | 0.398198i | ||||
\(250\) | −6.05641 | + | 16.6399i | −0.383041 | + | 1.05240i | ||||
\(251\) | 17.0830 | − | 20.3588i | 1.07827 | − | 1.28503i | 0.122008 | − | 0.992529i | \(-0.461067\pi\) |
0.956264 | − | 0.292505i | \(-0.0944889\pi\) | |||||||
\(252\) | −0.481724 | − | 0.899388i | −0.0303458 | − | 0.0566561i | ||||
\(253\) | −2.98785 | + | 16.9449i | −0.187845 | + | 1.06532i | ||||
\(254\) | −3.27898 | + | 1.89312i | −0.205741 | + | 0.118785i | ||||
\(255\) | −2.98590 | + | 0.477572i | −0.186985 | + | 0.0299067i | ||||
\(256\) | 2.73814 | + | 2.29757i | 0.171134 | + | 0.143598i | ||||
\(257\) | −17.0463 | − | 14.3036i | −1.06332 | − | 0.892231i | −0.0688893 | − | 0.997624i | \(-0.521946\pi\) |
−0.994431 | + | 0.105393i | \(0.966390\pi\) | |||||||
\(258\) | −17.6597 | + | 2.82453i | −1.09944 | + | 0.175848i | ||||
\(259\) | 12.9448 | − | 7.47368i | 0.804350 | − | 0.464392i | ||||
\(260\) | 0.0236689 | − | 0.134233i | 0.00146788 | − | 0.00832479i | ||||
\(261\) | −18.8668 | − | 0.601447i | −1.16782 | − | 0.0372286i | ||||
\(262\) | −15.1875 | + | 18.0997i | −0.938285 | + | 1.11820i | ||||
\(263\) | −2.08595 | + | 5.73110i | −0.128625 | + | 0.353395i | −0.987243 | − | 0.159222i | \(-0.949102\pi\) |
0.858618 | + | 0.512617i | \(0.171324\pi\) | |||||||
\(264\) | −2.41281 | + | 12.5143i | −0.148498 | + | 0.770202i | ||||
\(265\) | 21.4165 | − | 12.3648i | 1.31560 | − | 0.759564i | ||||
\(266\) | 14.4971 | − | 0.704720i | 0.888876 | − | 0.0432092i | ||||
\(267\) | 8.89372 | + | 10.9488i | 0.544287 | + | 0.670054i | ||||
\(268\) | −0.295946 | − | 0.352695i | −0.0180778 | − | 0.0215443i | ||||
\(269\) | −1.57345 | − | 8.92350i | −0.0959352 | − | 0.544075i | −0.994457 | − | 0.105146i | \(-0.966469\pi\) |
0.898522 | − | 0.438929i | \(-0.144642\pi\) | |||||||
\(270\) | −3.28506 | + | 14.5310i | −0.199923 | + | 0.884331i | ||||
\(271\) | −15.2169 | + | 12.7685i | −0.924362 | + | 0.775632i | −0.974797 | − | 0.223095i | \(-0.928384\pi\) |
0.0504344 | + | 0.998727i | \(0.483939\pi\) | |||||||
\(272\) | 2.45454 | − | 2.92521i | 0.148828 | − | 0.177367i | ||||
\(273\) | 0.289171 | + | 1.80797i | 0.0175014 | + | 0.109423i | ||||
\(274\) | −3.59528 | − | 2.07573i | −0.217199 | − | 0.125400i | ||||
\(275\) | 2.05077 | − | 2.44401i | 0.123666 | − | 0.147379i | ||||
\(276\) | −0.799894 | − | 1.43789i | −0.0481480 | − | 0.0865509i | ||||
\(277\) | −1.32213 | −0.0794388 | −0.0397194 | − | 0.999211i | \(-0.512646\pi\) | ||||
−0.0397194 | + | 0.999211i | \(0.512646\pi\) | |||||||
\(278\) | −6.68202 | + | 11.5736i | −0.400761 | + | 0.694138i | ||||
\(279\) | 16.7146 | − | 2.40090i | 1.00068 | − | 0.143738i | ||||
\(280\) | −7.74390 | − | 9.22882i | −0.462787 | − | 0.551528i | ||||
\(281\) | 29.9168 | − | 10.8888i | 1.78468 | − | 0.649572i | 0.785142 | − | 0.619316i | \(-0.212590\pi\) |
0.999542 | − | 0.0302563i | \(-0.00963236\pi\) | |||||||
\(282\) | −1.84792 | + | 9.58446i | −0.110042 | + | 0.570746i | ||||
\(283\) | −4.41305 | − | 25.0277i | −0.262329 | − | 1.48774i | −0.776535 | − | 0.630074i | \(-0.783024\pi\) |
0.514206 | − | 0.857667i | \(-0.328087\pi\) | |||||||
\(284\) | −0.00724101 | − | 0.0125418i | −0.000429675 | − | 0.000744219i | ||||
\(285\) | −11.6130 | − | 9.11552i | −0.687892 | − | 0.539957i | ||||
\(286\) | −0.925559 | + | 1.60312i | −0.0547295 | + | 0.0947942i | ||||
\(287\) | 17.6159 | + | 6.41165i | 1.03983 | + | 0.378468i | ||||
\(288\) | −1.19745 | − | 2.23566i | −0.0705605 | − | 0.131738i | ||||
\(289\) | 12.4121 | + | 10.4150i | 0.730126 | + | 0.612649i | ||||
\(290\) | 17.7659 | − | 3.13261i | 1.04325 | − | 0.183953i | ||||
\(291\) | 7.09362 | + | 0.113039i | 0.415836 | + | 0.00662644i | ||||
\(292\) | 0.986467 | 0.0577286 | ||||||||
\(293\) | 4.47837 | − | 7.75676i | 0.261629 | − | 0.453155i | −0.705046 | − | 0.709162i | \(-0.749074\pi\) |
0.966675 | + | 0.256007i | \(0.0824070\pi\) | |||||||
\(294\) | 4.01422 | + | 2.40370i | 0.234114 | + | 0.140186i | ||||
\(295\) | −8.64363 | − | 1.52410i | −0.503251 | − | 0.0887368i | ||||
\(296\) | 15.4631 | − | 8.92761i | 0.898773 | − | 0.518907i | ||||
\(297\) | 7.62210 | − | 11.8550i | 0.442279 | − | 0.687895i | ||||
\(298\) | −12.4277 | − | 2.19134i | −0.719919 | − | 0.126941i | ||||
\(299\) | 0.512748 | + | 2.90794i | 0.0296530 | + | 0.168170i | ||||
\(300\) | −0.00486113 | + | 0.305055i | −0.000280657 | + | 0.0176124i | ||||
\(301\) | −12.2515 | + | 10.2803i | −0.706167 | + | 0.592544i | ||||
\(302\) | −33.8415 | + | 5.96716i | −1.94736 | + | 0.343372i | ||||
\(303\) | −2.00264 | − | 12.5210i | −0.115049 | − | 0.719313i | ||||
\(304\) | 18.6214 | − | 0.905204i | 1.06801 | − | 0.0519170i | ||||
\(305\) | − | 16.7649i | − | 0.959956i | ||||||
\(306\) | −3.46180 | + | 1.85419i | −0.197898 | + | 0.105997i | ||||
\(307\) | 20.3797 | − | 3.59349i | 1.16313 | − | 0.205091i | 0.441429 | − | 0.897296i | \(-0.354472\pi\) |
0.721701 | + | 0.692205i | \(0.243360\pi\) | |||||||
\(308\) | −0.315496 | − | 0.866819i | −0.0179771 | − | 0.0493916i | ||||
\(309\) | −24.9430 | + | 8.63096i | −1.41896 | + | 0.490998i | ||||
\(310\) | −15.1647 | + | 5.51950i | −0.861297 | + | 0.313487i | ||||
\(311\) | − | 4.53739i | − | 0.257292i | −0.991691 | − | 0.128646i | \(-0.958937\pi\) | ||
0.991691 | − | 0.128646i | \(-0.0410631\pi\) | |||||||
\(312\) | 0.345426 | + | 2.15969i | 0.0195559 | + | 0.122269i | ||||
\(313\) | 0.265781 | − | 1.50732i | 0.0150228 | − | 0.0851988i | −0.976375 | − | 0.216085i | \(-0.930671\pi\) |
0.991397 | + | 0.130886i | \(0.0417823\pi\) | |||||||
\(314\) | −4.36816 | + | 1.58988i | −0.246510 | + | 0.0897222i | ||||
\(315\) | 4.15540 | + | 12.6580i | 0.234130 | + | 0.713197i | ||||
\(316\) | −1.54750 | − | 0.893450i | −0.0870538 | − | 0.0502605i | ||||
\(317\) | 11.4064 | + | 9.57111i | 0.640648 | + | 0.537567i | 0.904217 | − | 0.427073i | \(-0.140455\pi\) |
−0.263569 | + | 0.964640i | \(0.584900\pi\) | |||||||
\(318\) | 21.0334 | − | 24.2706i | 1.17950 | − | 1.36103i | ||||
\(319\) | −16.8072 | − | 2.96357i | −0.941025 | − | 0.165928i | ||||
\(320\) | −9.19402 | − | 10.9570i | −0.513961 | − | 0.612515i | ||||
\(321\) | −7.20996 | − | 20.8363i | −0.402421 | − | 1.16297i | ||||
\(322\) | −18.2932 | − | 10.5616i | −1.01944 | − | 0.588574i | ||||
\(323\) | −0.188954 | − | 3.88705i | −0.0105137 | − | 0.216281i | ||||
\(324\) | 0.149023 | + | 1.33950i | 0.00827907 | + | 0.0744167i | ||||
\(325\) | 0.187260 | − | 0.514493i | 0.0103873 | − | 0.0285389i | ||||
\(326\) | −17.7492 | − | 6.46017i | −0.983036 | − | 0.357796i | ||||
\(327\) | 32.5381 | + | 0.518504i | 1.79936 | + | 0.0286733i | ||||
\(328\) | 21.0429 | + | 7.65898i | 1.16190 | + | 0.422896i | ||||
\(329\) | 2.98548 | + | 8.20253i | 0.164595 | + | 0.452220i | ||||
\(330\) | −4.80788 | + | 12.5821i | −0.264665 | + | 0.692619i | ||||
\(331\) | − | 2.90821i | − | 0.159849i | −0.996801 | − | 0.0799247i | \(-0.974532\pi\) | ||
0.996801 | − | 0.0799247i | \(-0.0254680\pi\) | |||||||
\(332\) | 0.189229 | + | 0.519901i | 0.0103853 | + | 0.0285333i | ||||
\(333\) | −19.5446 | + | 2.80741i | −1.07104 | + | 0.153845i | ||||
\(334\) | −1.48870 | − | 2.57851i | −0.0814582 | − | 0.141090i | ||||
\(335\) | 3.00600 | + | 5.20654i | 0.164235 | + | 0.284464i | ||||
\(336\) | −14.4342 | − | 8.64312i | −0.787450 | − | 0.471521i | ||||
\(337\) | −6.81327 | + | 18.7193i | −0.371142 | + | 1.01971i | 0.603778 | + | 0.797152i | \(0.293661\pi\) |
−0.974921 | + | 0.222553i | \(0.928561\pi\) | |||||||
\(338\) | 3.25468 | − | 18.4582i | 0.177031 | − | 1.00399i | ||||
\(339\) | −32.0300 | − | 6.17550i | −1.73963 | − | 0.335407i | ||||
\(340\) | 0.200274 | − | 0.168050i | 0.0108614 | − | 0.00911380i | ||||
\(341\) | 15.2671 | 0.826761 | ||||||||
\(342\) | −18.1238 | − | 6.25571i | −0.980025 | − | 0.338270i | ||||
\(343\) | 20.0814 | 1.08429 | ||||||||
\(344\) | −14.6350 | + | 12.2802i | −0.789064 | + | 0.662103i | ||||
\(345\) | 7.02586 | + | 20.3043i | 0.378260 | + | 1.09315i | ||||
\(346\) | 1.59499 | − | 9.04562i | 0.0857470 | − | 0.486295i | ||||
\(347\) | −3.02871 | + | 8.32130i | −0.162590 | + | 0.446711i | −0.994057 | − | 0.108863i | \(-0.965279\pi\) |
0.831467 | + | 0.555574i | \(0.187501\pi\) | |||||||
\(348\) | 1.42621 | − | 0.793394i | 0.0764526 | − | 0.0425304i | ||||
\(349\) | −10.4769 | − | 18.1465i | −0.560814 | − | 0.971357i | −0.997426 | − | 0.0717077i | \(-0.977155\pi\) |
0.436612 | − | 0.899650i | \(-0.356178\pi\) | |||||||
\(350\) | 1.95834 | + | 3.39195i | 0.104678 | + | 0.181307i | ||||
\(351\) | 0.533332 | − | 2.35912i | 0.0284671 | − | 0.125921i | ||||
\(352\) | −0.784249 | − | 2.15471i | −0.0418006 | − | 0.114846i | ||||
\(353\) | 24.0456i | 1.27982i | 0.768452 | + | 0.639908i | \(0.221027\pi\) | ||||
−0.768452 | + | 0.639908i | \(0.778973\pi\) | |||||||
\(354\) | −11.2556 | + | 1.80025i | −0.598230 | + | 0.0956823i | ||||
\(355\) | 0.0646776 | + | 0.177700i | 0.00343273 | + | 0.00943135i | ||||
\(356\) | −1.14603 | − | 0.417120i | −0.0607393 | − | 0.0221073i | ||||
\(357\) | −1.80418 | + | 3.01302i | −0.0954872 | + | 0.159466i | ||||
\(358\) | 16.5497 | + | 6.02360i | 0.874679 | + | 0.318357i | ||||
\(359\) | −3.98335 | + | 10.9442i | −0.210233 | + | 0.577611i | −0.999328 | − | 0.0366610i | \(-0.988328\pi\) |
0.789095 | + | 0.614272i | \(0.210550\pi\) | |||||||
\(360\) | 4.96379 | + | 15.1205i | 0.261615 | + | 0.796919i | ||||
\(361\) | 13.3016 | − | 13.5671i | 0.700087 | − | 0.714058i | ||||
\(362\) | −11.1909 | − | 6.46106i | −0.588180 | − | 0.339586i | ||||
\(363\) | −4.13250 | + | 4.76851i | −0.216900 | + | 0.250282i | ||||
\(364\) | −0.101755 | − | 0.121267i | −0.00533340 | − | 0.00635610i | ||||
\(365\) | −12.6855 | − | 2.23679i | −0.663989 | − | 0.117079i | ||||
\(366\) | −7.11976 | − | 20.5757i | −0.372156 | − | 1.07551i | ||||
\(367\) | 0.395531 | + | 0.331890i | 0.0206466 | + | 0.0173245i | 0.653053 | − | 0.757313i | \(-0.273488\pi\) |
−0.632406 | + | 0.774637i | \(0.717933\pi\) | |||||||
\(368\) | −23.4973 | − | 13.5662i | −1.22488 | − | 0.707187i | ||||
\(369\) | −18.4533 | − | 16.5142i | −0.960641 | − | 0.859693i | ||||
\(370\) | 17.7323 | − | 6.45403i | 0.921859 | − | 0.335529i | ||||
\(371\) | 4.98731 | − | 28.2844i | 0.258928 | − | 1.46846i | ||||
\(372\) | −1.13321 | + | 0.920507i | −0.0587540 | + | 0.0477260i | ||||
\(373\) | − | 22.7368i | − | 1.17726i | −0.808401 | − | 0.588632i | \(-0.799667\pi\) | ||
0.808401 | − | 0.588632i | \(-0.200333\pi\) | |||||||
\(374\) | −3.33644 | + | 1.21437i | −0.172523 | + | 0.0627933i | ||||
\(375\) | 3.96023 | − | 20.5402i | 0.204505 | − | 1.06069i | ||||
\(376\) | 3.56627 | + | 9.79825i | 0.183916 | + | 0.505306i | ||||
\(377\) | −2.88430 | + | 0.508581i | −0.148549 | + | 0.0261932i | ||||
\(378\) | 10.4756 | + | 13.7705i | 0.538805 | + | 0.708278i | ||||
\(379\) | − | 23.3822i | − | 1.20106i | −0.799602 | − | 0.600531i | \(-0.794956\pi\) | ||
0.799602 | − | 0.600531i | \(-0.205044\pi\) | |||||||
\(380\) | 1.26630 | + | 0.160353i | 0.0649601 | + | 0.00822593i | ||||
\(381\) | 3.47169 | − | 2.82007i | 0.177860 | − | 0.144476i | ||||
\(382\) | 15.0066 | − | 2.64607i | 0.767806 | − | 0.135385i | ||||
\(383\) | −8.11491 | + | 6.80921i | −0.414652 | + | 0.347935i | −0.826124 | − | 0.563488i | \(-0.809459\pi\) |
0.411472 | + | 0.911422i | \(0.365015\pi\) | |||||||
\(384\) | −18.4496 | − | 11.0475i | −0.941503 | − | 0.563767i | ||||
\(385\) | 2.09164 | + | 11.8623i | 0.106600 | + | 0.604556i | ||||
\(386\) | −7.87476 | − | 1.38853i | −0.400815 | − | 0.0706744i | ||||
\(387\) | 20.0729 | − | 6.58958i | 1.02036 | − | 0.334967i | ||||
\(388\) | −0.531208 | + | 0.306693i | −0.0269680 | + | 0.0155700i | ||||
\(389\) | 17.7078 | + | 3.12236i | 0.897821 | + | 0.158310i | 0.603468 | − | 0.797387i | \(-0.293785\pi\) |
0.294352 | + | 0.955697i | \(0.404896\pi\) | |||||||
\(390\) | −0.0368295 | + | 2.31119i | −0.00186493 | + | 0.117032i | ||||
\(391\) | −2.83183 | + | 4.90487i | −0.143212 | + | 0.248050i | ||||
\(392\) | 4.99815 | 0.252445 | ||||||||
\(393\) | 14.3392 | − | 23.9467i | 0.723315 | − | 1.20795i | ||||
\(394\) | −20.5867 | + | 3.62999i | −1.03714 | + | 0.182876i | ||||
\(395\) | 17.8742 | + | 14.9983i | 0.899350 | + | 0.754645i | ||||
\(396\) | −0.0388257 | + | 1.21792i | −0.00195106 | + | 0.0612029i | ||||
\(397\) | 19.3342 | + | 7.03708i | 0.970356 | + | 0.353181i | 0.778084 | − | 0.628161i | \(-0.216192\pi\) |
0.192273 | + | 0.981342i | \(0.438414\pi\) | |||||||
\(398\) | −19.8851 | + | 34.4420i | −0.996750 | + | 1.72642i | ||||
\(399\) | −16.7793 | + | 3.52680i | −0.840015 | + | 0.176561i | ||||
\(400\) | 2.51547 | + | 4.35691i | 0.125773 | + | 0.217846i | ||||
\(401\) | 0.711634 | + | 4.03588i | 0.0355373 | + | 0.201542i | 0.997407 | − | 0.0719657i | \(-0.0229272\pi\) |
−0.961870 | + | 0.273508i | \(0.911816\pi\) | |||||||
\(402\) | 5.90040 | + | 5.11342i | 0.294285 | + | 0.255034i | ||||
\(403\) | 2.46200 | − | 0.896094i | 0.122641 | − | 0.0446376i | ||||
\(404\) | 0.704697 | + | 0.839826i | 0.0350600 | + | 0.0417829i | ||||
\(405\) | 1.12092 | − | 17.5632i | 0.0556990 | − | 0.872724i | ||||
\(406\) | 10.4757 | − | 18.1445i | 0.519903 | − | 0.900498i | ||||
\(407\) | −17.8521 | −0.884894 | ||||||||
\(408\) | −2.15516 | + | 3.59917i | −0.106696 | + | 0.178185i | ||||
\(409\) | −13.5081 | + | 16.0983i | −0.667932 | + | 0.796010i | −0.988501 | − | 0.151215i | \(-0.951682\pi\) |
0.320569 | + | 0.947225i | \(0.396126\pi\) | |||||||
\(410\) | 20.4958 | + | 11.8332i | 1.01221 | + | 0.584402i | ||||
\(411\) | 4.58113 | + | 1.75055i | 0.225971 | + | 0.0863483i | ||||
\(412\) | 1.46684 | − | 1.74812i | 0.0722662 | − | 0.0861235i | ||||
\(413\) | −7.80868 | + | 6.55226i | −0.384240 | + | 0.322416i | ||||
\(414\) | 17.2458 | + | 21.9358i | 0.847583 | + | 1.07809i | ||||
\(415\) | −1.25452 | − | 7.11475i | −0.0615821 | − | 0.349249i | ||||
\(416\) | −0.252938 | − | 0.301440i | −0.0124013 | − | 0.0147793i | ||||
\(417\) | 5.63521 | − | 14.7472i | 0.275958 | − | 0.722172i | ||||
\(418\) | −15.4155 | − | 7.92827i | −0.753997 | − | 0.387784i | ||||
\(419\) | −22.6417 | + | 13.0722i | −1.10612 | + | 0.638620i | −0.937822 | − | 0.347116i | \(-0.887161\pi\) |
−0.168300 | + | 0.985736i | \(0.553828\pi\) | |||||||
\(420\) | −0.870468 | − | 0.754367i | −0.0424745 | − | 0.0368093i | ||||
\(421\) | −9.36101 | + | 25.7192i | −0.456228 | + | 1.25348i | 0.472045 | + | 0.881574i | \(0.343516\pi\) |
−0.928273 | + | 0.371901i | \(0.878706\pi\) | |||||||
\(422\) | 9.09213 | − | 10.8356i | 0.442598 | − | 0.527468i | ||||
\(423\) | 0.367399 | − | 11.5250i | 0.0178636 | − | 0.560362i | ||||
\(424\) | 5.95754 | − | 33.7869i | 0.289324 | − | 1.64084i | ||||
\(425\) | 0.909468 | − | 0.525082i | 0.0441157 | − | 0.0254702i | ||||
\(426\) | 0.154845 | + | 0.190625i | 0.00750228 | + | 0.00923581i | ||||
\(427\) | −14.9154 | − | 12.5155i | −0.721806 | − | 0.605667i | ||||
\(428\) | 1.46031 | + | 1.22534i | 0.0705866 | + | 0.0592292i | ||||
\(429\) | 0.780561 | − | 2.04270i | 0.0376859 | − | 0.0986226i | ||||
\(430\) | −17.4857 | + | 10.0954i | −0.843234 | + | 0.486841i | ||||
\(431\) | −3.13120 | + | 17.7579i | −0.150825 | + | 0.855369i | 0.811680 | + | 0.584103i | \(0.198554\pi\) |
−0.962504 | + | 0.271267i | \(0.912558\pi\) | |||||||
\(432\) | 13.4557 | + | 17.6880i | 0.647388 | + | 0.851014i | ||||
\(433\) | −1.22643 | + | 1.46160i | −0.0589385 | + | 0.0702401i | −0.794708 | − | 0.606992i | \(-0.792376\pi\) |
0.735770 | + | 0.677232i | \(0.236821\pi\) | |||||||
\(434\) | −6.41031 | + | 17.6122i | −0.307705 | + | 0.845411i | ||||
\(435\) | −20.1393 | + | 6.96877i | −0.965606 | + | 0.334127i | ||||
\(436\) | −2.43663 | + | 1.40679i | −0.116693 | + | 0.0673729i | ||||
\(437\) | −26.9661 | + | 6.11814i | −1.28996 | + | 0.292671i | ||||
\(438\) | −16.5189 | + | 2.64207i | −0.789303 | + | 0.126243i | ||||
\(439\) | 0.0935301 | + | 0.111465i | 0.00446395 | + | 0.00531993i | 0.768272 | − | 0.640124i | \(-0.221117\pi\) |
−0.763808 | + | 0.645444i | \(0.776672\pi\) | |||||||
\(440\) | 2.49854 | + | 14.1699i | 0.119113 | + | 0.675525i | ||||
\(441\) | −5.13102 | − | 2.05495i | −0.244334 | − | 0.0978548i | ||||
\(442\) | −0.466763 | + | 0.391661i | −0.0222016 | + | 0.0186294i | ||||
\(443\) | −16.4525 | + | 19.6073i | −0.781681 | + | 0.931572i | −0.999008 | − | 0.0445273i | \(-0.985822\pi\) |
0.217327 | + | 0.976099i | \(0.430266\pi\) | |||||||
\(444\) | 1.32507 | − | 1.07636i | 0.0628853 | − | 0.0510819i | ||||
\(445\) | 13.7915 | + | 7.96255i | 0.653782 | + | 0.377461i | ||||
\(446\) | 18.8671 | − | 22.4849i | 0.893383 | − | 1.06469i | ||||
\(447\) | 14.9057 | + | 0.237526i | 0.705015 | + | 0.0112346i | ||||
\(448\) | −16.6118 | −0.784834 | ||||||||
\(449\) | 1.53301 | − | 2.65525i | 0.0723472 | − | 0.125309i | −0.827582 | − | 0.561344i | \(-0.810284\pi\) |
0.899930 | + | 0.436035i | \(0.143618\pi\) | |||||||
\(450\) | −0.735631 | − | 5.12132i | −0.0346780 | − | 0.241421i | ||||
\(451\) | −14.3916 | − | 17.1513i | −0.677675 | − | 0.807622i | ||||
\(452\) | 2.65020 | − | 0.964594i | 0.124655 | − | 0.0453707i | ||||
\(453\) | 38.3625 | − | 13.2745i | 1.80243 | − | 0.623690i | ||||
\(454\) | 0.463593 | + | 2.62917i | 0.0217575 | + | 0.123393i | ||||
\(455\) | 1.03355 | + | 1.79016i | 0.0484535 | + | 0.0839238i | ||||
\(456\) | −20.0435 | + | 4.21290i | −0.938624 | + | 0.197287i | ||||
\(457\) | 4.14662 | − | 7.18215i | 0.193971 | − | 0.335967i | −0.752592 | − | 0.658487i | \(-0.771197\pi\) |
0.946563 | + | 0.322520i | \(0.104530\pi\) | |||||||
\(458\) | 26.5659 | + | 9.66920i | 1.24134 | + | 0.451812i | ||||
\(459\) | 3.69222 | − | 2.80876i | 0.172338 | − | 0.131102i | ||||
\(460\) | −1.42302 | − | 1.19406i | −0.0663486 | − | 0.0556731i | ||||
\(461\) | 27.5981 | − | 4.86629i | 1.28537 | − | 0.226646i | 0.511112 | − | 0.859514i | \(-0.329234\pi\) |
0.774259 | + | 0.632869i | \(0.218123\pi\) | |||||||
\(462\) | 7.60476 | + | 13.6703i | 0.353805 | + | 0.636001i | ||||
\(463\) | −7.27486 | −0.338092 | −0.169046 | − | 0.985608i | \(-0.554069\pi\) | ||||
−0.169046 | + | 0.985608i | \(0.554069\pi\) | |||||||
\(464\) | 13.4560 | − | 23.3064i | 0.624677 | − | 1.08197i | ||||
\(465\) | 16.6597 | − | 9.26775i | 0.772576 | − | 0.429781i | ||||
\(466\) | 35.0585 | + | 6.18175i | 1.62405 | + | 0.286364i | ||||
\(467\) | −5.43529 | + | 3.13807i | −0.251515 | + | 0.145212i | −0.620458 | − | 0.784240i | \(-0.713053\pi\) |
0.368943 | + | 0.929452i | \(0.379720\pi\) | |||||||
\(468\) | 0.0652241 | + | 0.198683i | 0.00301499 | + | 0.00918412i | ||||
\(469\) | 6.87621 | + | 1.21246i | 0.317514 | + | 0.0559862i | ||||
\(470\) | 1.91358 | + | 10.8525i | 0.0882670 | + | 0.500587i | ||||
\(471\) | 4.79880 | − | 2.66956i | 0.221117 | − | 0.123007i | ||||
\(472\) | −9.32778 | + | 7.82693i | −0.429346 | + | 0.360264i | ||||
\(473\) | 18.8110 | − | 3.31689i | 0.864932 | − | 0.152511i | ||||
\(474\) | 28.3066 | + | 10.8166i | 1.30017 | + | 0.496822i | ||||
\(475\) | 4.89743 | + | 1.51760i | 0.224709 | + | 0.0696322i | ||||
\(476\) | − | 0.303634i | − | 0.0139171i | ||||||
\(477\) | −20.0071 | + | 32.2356i | −0.916063 | + | 1.47597i | ||||
\(478\) | 10.6917 | − | 1.88523i | 0.489026 | − | 0.0862285i | ||||
\(479\) | −3.54073 | − | 9.72807i | −0.161780 | − | 0.444487i | 0.832143 | − | 0.554560i | \(-0.187114\pi\) |
−0.993923 | + | 0.110074i | \(0.964891\pi\) | |||||||
\(480\) | −2.16377 | − | 1.87518i | −0.0987623 | − | 0.0855897i | ||||
\(481\) | −2.87885 | + | 1.04782i | −0.131264 | + | 0.0477763i | ||||
\(482\) | 20.4237i | 0.930273i | ||||||||
\(483\) | 23.3093 | + | 8.90700i | 1.06061 | + | 0.405283i | ||||
\(484\) | 0.0947352 | − | 0.537270i | 0.00430615 | − | 0.0244214i | ||||
\(485\) | 7.52650 | − | 2.73942i | 0.341761 | − | 0.124391i | ||||
\(486\) | −6.08307 | − | 22.0315i | −0.275934 | − | 0.999368i | ||||
\(487\) | −15.8074 | − | 9.12641i | −0.716302 | − | 0.413557i | 0.0970880 | − | 0.995276i | \(-0.469047\pi\) |
−0.813390 | + | 0.581719i | \(0.802381\pi\) | |||||||
\(488\) | −17.8170 | − | 14.9502i | −0.806538 | − | 0.676766i | ||||
\(489\) | 21.9095 | + | 4.22425i | 0.990784 | + | 0.191027i | ||||
\(490\) | 5.20206 | + | 0.917264i | 0.235005 | + | 0.0414378i | ||||
\(491\) | −3.45546 | − | 4.11806i | −0.155943 | − | 0.185845i | 0.682416 | − | 0.730964i | \(-0.260929\pi\) |
−0.838359 | + | 0.545118i | \(0.816485\pi\) | |||||||
\(492\) | 2.10233 | + | 0.405338i | 0.0947804 | + | 0.0182740i | ||||
\(493\) | −4.86501 | − | 2.80881i | −0.219109 | − | 0.126503i | ||||
\(494\) | −2.95127 | − | 0.373721i | −0.132784 | − | 0.0168145i | ||||
\(495\) | 3.26089 | − | 15.5739i | 0.146566 | − | 0.699993i | ||||
\(496\) | −8.23395 | + | 22.6226i | −0.369715 | + | 1.01578i | ||||
\(497\) | 0.206380 | + | 0.0751161i | 0.00925740 | + | 0.00336942i | ||||
\(498\) | −4.56119 | − | 8.19919i | −0.204392 | − | 0.367415i | ||||
\(499\) | −31.6146 | − | 11.5068i | −1.41527 | − | 0.515115i | −0.482595 | − | 0.875844i | \(-0.660306\pi\) |
−0.932671 | + | 0.360729i | \(0.882528\pi\) | |||||||
\(500\) | 0.618576 | + | 1.69952i | 0.0276635 | + | 0.0760050i | ||||
\(501\) | 2.21763 | + | 2.73006i | 0.0990766 | + | 0.121970i | ||||
\(502\) | − | 38.9665i | − | 1.73916i | ||||||
\(503\) | 1.29040 | + | 3.54533i | 0.0575359 | + | 0.158079i | 0.965131 | − | 0.261769i | \(-0.0843058\pi\) |
−0.907595 | + | 0.419847i | \(0.862084\pi\) | |||||||
\(504\) | 17.1580 | + | 6.87169i | 0.764276 | + | 0.306089i | ||||
\(505\) | −7.15778 | − | 12.3976i | −0.318517 | − | 0.551687i | ||||
\(506\) | 12.6140 | + | 21.8481i | 0.560761 | + | 0.971266i | ||||
\(507\) | −0.352784 | + | 22.1386i | −0.0156677 | + | 0.983209i | ||||
\(508\) | −0.132262 | + | 0.363388i | −0.00586820 | + | 0.0161227i | ||||
\(509\) | −5.16749 | + | 29.3063i | −0.229045 | + | 1.29898i | 0.625755 | + | 0.780020i | \(0.284791\pi\) |
−0.854800 | + | 0.518958i | \(0.826320\pi\) | |||||||
\(510\) | −2.90361 | + | 3.35048i | −0.128574 | + | 0.148362i | ||||
\(511\) | −11.4601 | + | 9.61618i | −0.506966 | + | 0.425395i | ||||
\(512\) | −19.5903 | −0.865776 | ||||||||
\(513\) | 22.3084 | + | 3.91584i | 0.984941 | + | 0.172889i | ||||
\(514\) | −32.6265 | −1.43909 | ||||||||
\(515\) | −22.8267 | + | 19.1539i | −1.00587 | + | 0.844021i | ||||
\(516\) | −1.19627 | + | 1.38038i | −0.0526627 | + | 0.0607677i | ||||
\(517\) | 1.81032 | − | 10.2669i | 0.0796180 | − | 0.451536i | ||||
\(518\) | 7.49567 | − | 20.5942i | 0.329341 | − | 0.904856i | ||||
\(519\) | −0.172885 | + | 10.8492i | −0.00758880 | + | 0.476227i | ||||
\(520\) | 1.23461 | + | 2.13841i | 0.0541414 | + | 0.0937756i | ||||
\(521\) | −13.9379 | − | 24.1411i | −0.610630 | − | 1.05764i | −0.991134 | − | 0.132863i | \(-0.957583\pi\) |
0.380505 | − | 0.924779i | \(-0.375750\pi\) | |||||||
\(522\) | −21.7576 | + | 17.1056i | −0.952303 | + | 0.748692i | ||||
\(523\) | 13.1044 | + | 36.0039i | 0.573013 | + | 1.57434i | 0.799717 | + | 0.600377i | \(0.204983\pi\) |
−0.226704 | + | 0.973964i | \(0.572795\pi\) | |||||||
\(524\) | 2.41321i | 0.105422i | ||||||||
\(525\) | −2.91723 | − | 3.59131i | −0.127318 | − | 0.156738i | ||||
\(526\) | 3.05843 | + | 8.40296i | 0.133354 | + | 0.366386i | ||||
\(527\) | 4.72227 | + | 1.71877i | 0.205705 | + | 0.0748707i | ||||
\(528\) | 9.76821 | + | 17.5593i | 0.425107 | + | 0.764172i | ||||
\(529\) | 16.2024 | + | 5.89719i | 0.704452 | + | 0.256400i | ||||
\(530\) | 12.4012 | − | 34.0720i | 0.538673 | − | 1.47999i | ||||
\(531\) | 12.7937 | − | 4.19995i | 0.555200 | − | 0.182262i | ||||
\(532\) | 1.08800 | − | 1.00690i | 0.0471706 | − | 0.0436545i | ||||
\(533\) | −3.32750 | − | 1.92113i | −0.144130 | − | 0.0832135i | ||||
\(534\) | 20.3080 | + | 3.91546i | 0.878812 | + | 0.169438i | ||||
\(535\) | −16.0004 | − | 19.0685i | −0.691757 | − | 0.824404i | ||||
\(536\) | 8.21390 | + | 1.44833i | 0.354787 | + | 0.0625584i | ||||
\(537\) | −20.4289 | − | 3.93878i | −0.881573 | − | 0.169971i | ||||
\(538\) | −10.1773 | − | 8.53976i | −0.438774 | − | 0.368175i | ||||
\(539\) | −4.32777 | − | 2.49864i | −0.186410 | − | 0.107624i | ||||
\(540\) | 0.696960 | + | 1.35258i | 0.0299924 | + | 0.0582060i | ||||
\(541\) | 6.81285 | − | 2.47967i | 0.292907 | − | 0.106610i | −0.191387 | − | 0.981515i | \(-0.561299\pi\) |
0.484294 | + | 0.874905i | \(0.339076\pi\) | |||||||
\(542\) | −5.05752 | + | 28.6826i | −0.217239 | + | 1.23202i | ||||
\(543\) | 14.2595 | + | 5.44887i | 0.611934 | + | 0.233833i | ||||
\(544\) | − | 0.754762i | − | 0.0323602i | ||||||
\(545\) | 34.5237 | − | 12.5656i | 1.47883 | − | 0.538252i | ||||
\(546\) | 2.02873 | + | 1.75814i | 0.0868214 | + | 0.0752414i | ||||
\(547\) | 4.35099 | + | 11.9543i | 0.186035 | + | 0.511127i | 0.997290 | − | 0.0735648i | \(-0.0234376\pi\) |
−0.811255 | + | 0.584692i | \(0.801215\pi\) | |||||||
\(548\) | −0.417571 | + | 0.0736291i | −0.0178378 | + | 0.00314528i | ||||
\(549\) | 12.1440 | + | 22.6730i | 0.518291 | + | 0.967659i | ||||
\(550\) | − | 4.67782i | − | 0.199463i | ||||||
\(551\) | −6.06842 | − | 26.7470i | −0.258524 | − | 1.13946i | ||||
\(552\) | 27.8439 | + | 10.6398i | 1.18512 | + | 0.452859i | ||||
\(553\) | 26.6873 | − | 4.70568i | 1.13486 | − | 0.200106i | ||||
\(554\) | −1.48498 | + | 1.24605i | −0.0630908 | + | 0.0529394i | ||||
\(555\) | −19.4804 | + | 10.8369i | −0.826899 | + | 0.460001i | ||||
\(556\) | 0.237020 | + | 1.34421i | 0.0100519 | + | 0.0570071i | ||||
\(557\) | 5.42329 | + | 0.956273i | 0.229792 | + | 0.0405186i | 0.287358 | − | 0.957823i | \(-0.407223\pi\) |
−0.0575662 | + | 0.998342i | \(0.518334\pi\) | |||||||
\(558\) | 16.5107 | − | 18.4494i | 0.698954 | − | 0.781027i | ||||
\(559\) | 2.83881 | − | 1.63899i | 0.120069 | − | 0.0693218i | ||||
\(560\) | −18.7054 | − | 3.29826i | −0.790447 | − | 0.139377i | ||||
\(561\) | 3.66536 | − | 2.03903i | 0.154752 | − | 0.0860879i | ||||
\(562\) | 23.3396 | − | 40.4253i | 0.984520 | − | 1.70524i | ||||
\(563\) | 8.15535 | 0.343707 | 0.171854 | − | 0.985123i | \(-0.445024\pi\) | ||||
0.171854 | + | 0.985123i | \(0.445024\pi\) | |||||||
\(564\) | 0.484652 | + | 0.871211i | 0.0204075 | + | 0.0366846i | ||||
\(565\) | −36.2675 | + | 6.39494i | −1.52578 | + | 0.269037i | ||||
\(566\) | −28.5442 | − | 23.9514i | −1.19980 | − | 1.00675i | ||||
\(567\) | −14.7888 | − | 14.1087i | −0.621072 | − | 0.592510i | ||||
\(568\) | 0.246529 | + | 0.0897292i | 0.0103441 | + | 0.00376495i | ||||
\(569\) | 8.46027 | − | 14.6536i | 0.354673 | − | 0.614311i | −0.632389 | − | 0.774651i | \(-0.717926\pi\) |
0.987062 | + | 0.160339i | \(0.0512589\pi\) | |||||||
\(570\) | −21.6344 | + | 0.706374i | −0.906165 | + | 0.0295867i | ||||
\(571\) | 15.4888 | + | 26.8273i | 0.648185 | + | 1.12269i | 0.983556 | + | 0.180603i | \(0.0578049\pi\) |
−0.335371 | + | 0.942086i | \(0.608862\pi\) | |||||||
\(572\) | 0.0328308 | + | 0.186193i | 0.00137273 | + | 0.00778511i | ||||
\(573\) | −17.0114 | + | 5.88643i | −0.710662 | + | 0.245909i | ||||
\(574\) | 25.8284 | − | 9.40079i | 1.07806 | − | 0.392381i | ||||
\(575\) | −4.79634 | − | 5.71605i | −0.200021 | − | 0.238376i | ||||
\(576\) | 20.3710 | + | 8.15848i | 0.848790 | + | 0.339937i | ||||
\(577\) | −11.2310 | + | 19.4527i | −0.467554 | + | 0.809827i | −0.999313 | − | 0.0370686i | \(-0.988198\pi\) |
0.531759 | + | 0.846896i | \(0.321531\pi\) | |||||||
\(578\) | 23.7567 | 0.988150 | ||||||||
\(579\) | 9.44490 | + | 0.150507i | 0.392516 | + | 0.00625485i | ||||
\(580\) | 1.18435 | − | 1.41146i | 0.0491775 | − | 0.0586075i | ||||
\(581\) | −7.26637 | − | 4.19524i | −0.301460 | − | 0.174048i | ||||
\(582\) | 8.07393 | − | 6.55847i | 0.334675 | − | 0.271857i | ||||
\(583\) | −22.0489 | + | 26.2769i | −0.913174 | + | 1.08828i | ||||
\(584\) | −13.6896 | + | 11.4869i | −0.566478 | + | 0.475332i | ||||
\(585\) | −0.388241 | − | 2.70286i | −0.0160518 | − | 0.111749i | ||||
\(586\) | −2.28042 | − | 12.9329i | −0.0942031 | − | 0.534252i | ||||
\(587\) | −15.6884 | − | 18.6967i | −0.647530 | − | 0.771697i | 0.338009 | − | 0.941143i | \(-0.390247\pi\) |
−0.985539 | + | 0.169446i | \(0.945802\pi\) | |||||||
\(588\) | 0.471881 | − | 0.0754737i | 0.0194600 | − | 0.00311248i | ||||
\(589\) | 9.50100 | + | 22.6207i | 0.391482 | + | 0.932071i | ||||
\(590\) | −11.1447 | + | 6.43441i | −0.458821 | + | 0.264900i | ||||
\(591\) | 23.3369 | − | 8.07524i | 0.959954 | − | 0.332171i | ||||
\(592\) | 9.62808 | − | 26.4529i | 0.395712 | − | 1.08721i | ||||
\(593\) | −1.45747 | + | 1.73695i | −0.0598512 | + | 0.0713279i | −0.795139 | − | 0.606427i | \(-0.792602\pi\) |
0.735288 | + | 0.677755i | \(0.237047\pi\) | |||||||
\(594\) | −2.61183 | − | 20.4987i | −0.107165 | − | 0.841073i | ||||
\(595\) | −0.688484 | + | 3.90459i | −0.0282251 | + | 0.160073i | ||||
\(596\) | −1.11622 | + | 0.644448i | −0.0457220 | + | 0.0263976i | ||||
\(597\) | 16.7699 | − | 43.8863i | 0.686346 | − | 1.79615i | ||||
\(598\) | 3.31651 | + | 2.78288i | 0.135622 | + | 0.113801i | ||||
\(599\) | −1.68898 | − | 1.41722i | −0.0690098 | − | 0.0579061i | 0.607630 | − | 0.794220i | \(-0.292120\pi\) |
−0.676640 | + | 0.736314i | \(0.736565\pi\) | |||||||
\(600\) | −3.48475 | − | 4.28996i | −0.142264 | − | 0.175137i | ||||
\(601\) | −39.6141 | + | 22.8712i | −1.61589 | + | 0.932937i | −0.627927 | + | 0.778272i | \(0.716096\pi\) |
−0.987967 | + | 0.154664i | \(0.950570\pi\) | |||||||
\(602\) | −4.07194 | + | 23.0931i | −0.165960 | + | 0.941205i | ||||
\(603\) | −7.83678 | − | 4.86391i | −0.319138 | − | 0.198074i | ||||
\(604\) | −2.25602 | + | 2.68862i | −0.0917960 | + | 0.109398i | ||||
\(605\) | −2.43650 | + | 6.69422i | −0.0990577 | + | 0.272159i | ||||
\(606\) | −14.0498 | − | 12.1759i | −0.570735 | − | 0.494612i | ||||
\(607\) | −33.0308 | + | 19.0703i | −1.34068 | + | 0.774041i | −0.986907 | − | 0.161290i | \(-0.948434\pi\) |
−0.353772 | + | 0.935332i | \(0.615101\pi\) | |||||||
\(608\) | 2.70450 | − | 2.50290i | 0.109682 | − | 0.101506i | ||||
\(609\) | −8.83462 | + | 23.1199i | −0.357997 | + | 0.936866i | ||||
\(610\) | −15.8002 | − | 18.8300i | −0.639732 | − | 0.762403i | ||||
\(611\) | −0.310671 | − | 1.76190i | −0.0125684 | − | 0.0712790i | ||||
\(612\) | −0.149122 | + | 0.372345i | −0.00602792 | + | 0.0150511i | ||||
\(613\) | −18.9780 | + | 15.9244i | −0.766513 | + | 0.643181i | −0.939813 | − | 0.341688i | \(-0.889001\pi\) |
0.173300 | + | 0.984869i | \(0.444557\pi\) | |||||||
\(614\) | 19.5033 | − | 23.2431i | 0.787089 | − | 0.938016i | ||||
\(615\) | −26.1159 | − | 9.97944i | −1.05309 | − | 0.402410i | ||||
\(616\) | 14.4719 | + | 8.35537i | 0.583090 | + | 0.336647i | ||||
\(617\) | −7.03648 | + | 8.38575i | −0.283278 | + | 0.337598i | −0.888855 | − | 0.458190i | \(-0.848498\pi\) |
0.605577 | + | 0.795787i | \(0.292943\pi\) | |||||||
\(618\) | −19.8810 | + | 33.2018i | −0.799732 | + | 1.33557i | ||||
\(619\) | 37.3953 | 1.50304 | 0.751521 | − | 0.659709i | \(-0.229320\pi\) | ||||
0.751521 | + | 0.659709i | \(0.229320\pi\) | |||||||
\(620\) | −0.824129 | + | 1.42743i | −0.0330978 | + | 0.0573271i | ||||
\(621\) | −24.2096 | − | 22.3704i | −0.971499 | − | 0.897693i | ||||
\(622\) | −4.27630 | − | 5.09629i | −0.171464 | − | 0.204343i | ||||
\(623\) | 17.3799 | − | 6.32576i | 0.696310 | − | 0.253436i | ||||
\(624\) | 2.60587 | + | 2.25831i | 0.104318 | + | 0.0904046i | ||||
\(625\) | −3.07968 | − | 17.4657i | −0.123187 | − | 0.698629i | ||||
\(626\) | −1.12207 | − | 1.94347i | −0.0448468 | − | 0.0776769i | ||||
\(627\) | 19.4612 | + | 6.37216i | 0.777207 | + | 0.254480i | ||||
\(628\) | −0.237389 | + | 0.411169i | −0.00947284 | + | 0.0164074i | ||||
\(629\) | −5.52182 | − | 2.00978i | −0.220170 | − | 0.0801352i | ||||
\(630\) | 16.5969 | + | 10.3009i | 0.661235 | + | 0.410397i | ||||
\(631\) | −8.34756 | − | 7.00444i | −0.332311 | − | 0.278842i | 0.461330 | − | 0.887229i | \(-0.347373\pi\) |
−0.793641 | + | 0.608387i | \(0.791817\pi\) | |||||||
\(632\) | 31.8790 | − | 5.62113i | 1.26808 | − | 0.223596i | ||||
\(633\) | −8.58428 | + | 14.3359i | −0.341194 | + | 0.569802i | ||||
\(634\) | 21.8318 | 0.867051 | ||||||||
\(635\) | 2.52481 | − | 4.37309i | 0.100194 | − | 0.173541i | ||||
\(636\) | 0.0522647 | − | 3.27982i | 0.00207243 | − | 0.130053i | ||||
\(637\) | −0.844558 | − | 0.148918i | −0.0334626 | − | 0.00590036i | ||||
\(638\) | −21.6705 | + | 12.5115i | −0.857945 | + | 0.495335i | ||||
\(639\) | −0.216191 | − | 0.193473i | −0.00855237 | − | 0.00765366i | ||||
\(640\) | −23.9090 | − | 4.21580i | −0.945086 | − | 0.166644i | ||||
\(641\) | 7.71231 | + | 43.7387i | 0.304618 | + | 1.72757i | 0.625297 | + | 0.780386i | \(0.284978\pi\) |
−0.320680 | + | 0.947188i | \(0.603911\pi\) | |||||||
\(642\) | −27.7354 | − | 16.6078i | −1.09463 | − | 0.655458i | ||||
\(643\) | 6.17659 | − | 5.18277i | 0.243581 | − | 0.204389i | −0.512821 | − | 0.858495i | \(-0.671400\pi\) |
0.756402 | + | 0.654107i | \(0.226955\pi\) | |||||||
\(644\) | −2.12465 | + | 0.374633i | −0.0837230 | + | 0.0147626i | ||||
\(645\) | 18.5134 | − | 15.0385i | 0.728964 | − | 0.592139i | ||||
\(646\) | −3.87561 | − | 4.18776i | −0.152484 | − | 0.164765i | ||||
\(647\) | 1.23433i | 0.0485264i | 0.999706 | + | 0.0242632i | \(0.00772397\pi\) | ||||
−0.999706 | + | 0.0242632i | \(0.992276\pi\) | |||||||
\(648\) | −17.6658 | − | 16.8534i | −0.693980 | − | 0.662065i | ||||
\(649\) | 11.9894 | − | 2.11406i | 0.470627 | − | 0.0829842i | ||||
\(650\) | −0.274561 | − | 0.754351i | −0.0107692 | − | 0.0295881i | ||||
\(651\) | 4.19164 | − | 21.7404i | 0.164283 | − | 0.852074i | ||||
\(652\) | −1.81282 | + | 0.659814i | −0.0709957 | + | 0.0258403i | ||||
\(653\) | 27.8887i | 1.09137i | 0.837991 | + | 0.545684i | \(0.183730\pi\) | ||||
−0.837991 | + | 0.545684i | \(0.816270\pi\) | |||||||
\(654\) | 37.0348 | − | 30.0834i | 1.44817 | − | 1.17636i | ||||
\(655\) | 5.47190 | − | 31.0327i | 0.213805 | − | 1.21255i | ||||
\(656\) | 33.1763 | − | 12.0752i | 1.29532 | − | 0.471457i | ||||
\(657\) | 18.7762 | − | 6.16390i | 0.732530 | − | 0.240477i | ||||
\(658\) | 11.0838 | + | 6.39921i | 0.432090 | + | 0.249467i | ||||
\(659\) | −25.2736 | − | 21.2071i | −0.984520 | − | 0.826111i | 0.000244779 | − | 1.00000i | \(-0.499922\pi\) |
−0.984765 | + | 0.173889i | \(0.944367\pi\) | |||||||
\(660\) | 0.449860 | + | 1.30007i | 0.0175108 | + | 0.0506051i | ||||
\(661\) | 7.85254 | + | 1.38462i | 0.305429 | + | 0.0538553i | 0.324262 | − | 0.945967i | \(-0.394884\pi\) |
−0.0188334 | + | 0.999823i | \(0.505995\pi\) | |||||||
\(662\) | −2.74086 | − | 3.26643i | −0.106527 | − | 0.126953i | ||||
\(663\) | 0.471402 | − | 0.543953i | 0.0183077 | − | 0.0211254i | ||||
\(664\) | −8.67997 | − | 5.01138i | −0.336848 | − | 0.194479i | ||||
\(665\) | −16.2742 | + | 10.4812i | −0.631087 | + | 0.406443i | ||||
\(666\) | −19.3062 | + | 21.5732i | −0.748100 | + | 0.835944i | ||||
\(667\) | −13.6518 | + | 37.5080i | −0.528600 | + | 1.45232i | ||||
\(668\) | −0.285760 | − | 0.104008i | −0.0110564 | − | 0.00402419i | ||||
\(669\) | −17.8133 | + | 29.7485i | −0.688701 | + | 1.15015i | ||||
\(670\) | 8.28320 | + | 3.01484i | 0.320008 | + | 0.116473i | ||||
\(671\) | 7.95346 | + | 21.8520i | 0.307040 | + | 0.843585i | ||||
\(672\) | −3.28362 | + | 0.525190i | −0.126669 | + | 0.0202597i | ||||
\(673\) | − | 9.57507i | − | 0.369092i | −0.982824 | − | 0.184546i | \(-0.940919\pi\) | ||
0.982824 | − | 0.184546i | \(-0.0590815\pi\) | |||||||
\(674\) | 9.98964 | + | 27.4463i | 0.384786 | + | 1.05719i | ||||
\(675\) | 1.81360 | + | 5.83673i | 0.0698054 | + | 0.224656i | ||||
\(676\) | −0.957162 | − | 1.65785i | −0.0368139 | − | 0.0637636i | ||||
\(677\) | −3.70655 | − | 6.41993i | −0.142454 | − | 0.246738i | 0.785966 | − | 0.618270i | \(-0.212166\pi\) |
−0.928420 | + | 0.371532i | \(0.878833\pi\) | |||||||
\(678\) | −41.7955 | + | 23.2507i | −1.60514 | + | 0.892937i | ||||
\(679\) | 3.18154 | − | 8.74122i | 0.122096 | − | 0.335457i | ||||
\(680\) | −0.822422 | + | 4.66419i | −0.0315384 | + | 0.178863i | ||||
\(681\) | −1.03130 | − | 2.98041i | −0.0395197 | − | 0.114209i | ||||
\(682\) | 17.1477 | − | 14.3886i | 0.656619 | − | 0.550968i | ||||
\(683\) | −6.63543 | −0.253898 | −0.126949 | − | 0.991909i | \(-0.540518\pi\) | ||||
−0.126949 | + | 0.991909i | \(0.540518\pi\) | |||||||
\(684\) | −1.82871 | + | 0.700408i | −0.0699226 | + | 0.0267808i | ||||
\(685\) | 5.53671 | 0.211547 | ||||||||
\(686\) | 22.5550 | − | 18.9259i | 0.861153 | − | 0.722593i | ||||
\(687\) | −32.7929 | − | 6.32260i | −1.25113 | − | 0.241222i | ||||
\(688\) | −5.23035 | + | 29.6628i | −0.199405 | + | 1.13088i | ||||
\(689\) | −2.01334 | + | 5.53160i | −0.0767021 | + | 0.210737i | ||||
\(690\) | 27.0272 | + | 16.1838i | 1.02891 | + | 0.616105i | ||||
\(691\) | −12.2080 | − | 21.1449i | −0.464416 | − | 0.804391i | 0.534759 | − | 0.845004i | \(-0.320402\pi\) |
−0.999175 | + | 0.0406130i | \(0.987069\pi\) | |||||||
\(692\) | −0.469066 | − | 0.812446i | −0.0178312 | − | 0.0308846i | ||||
\(693\) | −11.4214 | − | 14.5275i | −0.433862 | − | 0.551853i | ||||
\(694\) | 4.44070 | + | 12.2007i | 0.168567 | + | 0.463133i | ||||
\(695\) | − | 17.8233i | − | 0.676076i | ||||||
\(696\) | −10.5533 | + | 27.6176i | −0.400022 | + | 1.04684i | ||||
\(697\) | −2.52059 | − | 6.92526i | −0.0954742 | − | 0.262313i | ||||
\(698\) | −28.8696 | − | 10.5077i | −1.09273 | − | 0.397722i | ||||
\(699\) | −42.0487 | − | 0.670057i | −1.59043 | − | 0.0253439i | ||||
\(700\) | 0.375908 | + | 0.136819i | 0.0142080 | + | 0.00517129i | ||||
\(701\) | 4.48329 | − | 12.3177i | 0.169332 | − | 0.465235i | −0.825780 | − | 0.563993i | \(-0.809265\pi\) |
0.995112 | + | 0.0987578i | \(0.0314869\pi\) | |||||||
\(702\) | −1.62435 | − | 3.15235i | −0.0613070 | − | 0.118978i | ||||
\(703\) | −11.1097 | − | 26.4508i | −0.419009 | − | 0.997610i | ||||
\(704\) | 17.1819 | + | 9.91999i | 0.647568 | + | 0.373874i | ||||
\(705\) | −4.25694 | − | 12.3023i | −0.160326 | − | 0.463331i | ||||
\(706\) | 22.6619 | + | 27.0074i | 0.852892 | + | 1.01644i | ||||
\(707\) | −16.3734 | − | 2.88707i | −0.615785 | − | 0.108579i | ||||
\(708\) | −0.762456 | + | 0.879801i | −0.0286548 | + | 0.0330650i | ||||
\(709\) | 24.8893 | + | 20.8846i | 0.934736 | + | 0.784336i | 0.976662 | − | 0.214784i | \(-0.0689049\pi\) |
−0.0419258 | + | 0.999121i | \(0.513349\pi\) | |||||||
\(710\) | 0.240119 | + | 0.138633i | 0.00901152 | + | 0.00520280i | ||||
\(711\) | −35.0375 | − | 7.33624i | −1.31401 | − | 0.275131i | ||||
\(712\) | 20.7610 | − | 7.55637i | 0.778050 | − | 0.283187i | ||||
\(713\) | 6.20042 | − | 35.1643i | 0.232207 | − | 1.31691i | ||||
\(714\) | 0.813228 | + | 5.08451i | 0.0304343 | + | 0.190283i | ||||
\(715\) | − | 2.46879i | − | 0.0923276i | ||||||
\(716\) | 1.69032 | − | 0.615224i | 0.0631700 | − | 0.0229920i | ||||
\(717\) | −12.1200 | + | 4.19387i | −0.452630 | + | 0.156623i | ||||
\(718\) | 5.84040 | + | 16.0464i | 0.217962 | + | 0.598845i | ||||
\(719\) | −11.5426 | + | 2.03526i | −0.430465 | + | 0.0759026i | −0.384683 | − | 0.923049i | \(-0.625689\pi\) |
−0.0457821 | + | 0.998951i | \(0.514578\pi\) | |||||||
\(720\) | 21.3184 | + | 13.2313i | 0.794491 | + | 0.493102i | ||||
\(721\) | 34.6074i | 1.28885i | ||||||||
\(722\) | 2.15369 | − | 27.7745i | 0.0801522 | − | 1.03366i | ||||
\(723\) | −3.81047 | − | 23.8240i | −0.141713 | − | 0.886025i | ||||
\(724\) | −1.29976 | + | 0.229182i | −0.0483051 | + | 0.00851750i | ||||
\(725\) | 5.66960 | − | 4.75736i | 0.210564 | − | 0.176684i | ||||
\(726\) | −0.147411 | + | 9.25059i | −0.00547092 | + | 0.343322i | ||||
\(727\) | 0.250773 | + | 1.42221i | 0.00930066 | + | 0.0527467i | 0.989105 | − | 0.147213i | \(-0.0470301\pi\) |
−0.979804 | + | 0.199959i | \(0.935919\pi\) | |||||||
\(728\) | 2.82417 | + | 0.497978i | 0.104671 | + | 0.0184563i | ||||
\(729\) | 11.2063 | + | 24.5646i | 0.415048 | + | 0.909800i | ||||
\(730\) | −16.3561 | + | 9.44322i | −0.605368 | + | 0.349509i | ||||
\(731\) | 6.19185 | + | 1.09179i | 0.229014 | + | 0.0403813i | ||||
\(732\) | −1.90788 | − | 1.14243i | −0.0705171 | − | 0.0422253i | ||||
\(733\) | −22.1621 | + | 38.3858i | −0.818575 | + | 1.41781i | 0.0881571 | + | 0.996107i | \(0.471902\pi\) |
−0.906732 | + | 0.421707i | \(0.861431\pi\) | |||||||
\(734\) | 0.757043 | 0.0279430 | ||||||||
\(735\) | −6.23929 | − | 0.0994247i | −0.230140 | − | 0.00366734i | ||||
\(736\) | −5.28137 | + | 0.931249i | −0.194674 | + | 0.0343263i | ||||
\(737\) | −6.38816 | − | 5.36030i | −0.235311 | − | 0.197449i | ||||
\(738\) | −36.2902 | − | 1.15688i | −1.33586 | − | 0.0425854i | ||||
\(739\) | 47.6440 | + | 17.3410i | 1.75261 | + | 0.637899i | 0.999793 | − | 0.0203293i | \(-0.00647148\pi\) |
0.752819 | + | 0.658228i | \(0.228694\pi\) | |||||||
\(740\) | 0.963667 | − | 1.66912i | 0.0354251 | − | 0.0613581i | ||||
\(741\) | 3.51236 | − | 0.114680i | 0.129030 | − | 0.00421288i | ||||
\(742\) | −21.0552 | − | 36.4688i | −0.772962 | − | 1.33881i | ||||
\(743\) | −1.48490 | − | 8.42127i | −0.0544756 | − | 0.308947i | 0.945379 | − | 0.325972i | \(-0.105692\pi\) |
−0.999855 | + | 0.0170254i | \(0.994580\pi\) | |||||||
\(744\) | 5.00708 | − | 25.9698i | 0.183568 | − | 0.952099i | ||||
\(745\) | 15.8153 | − | 5.75629i | 0.579427 | − | 0.210894i | ||||
\(746\) | −21.4284 | − | 25.5374i | −0.784550 | − | 0.934991i | ||||
\(747\) | 6.85032 | + | 8.71330i | 0.250640 | + | 0.318803i | ||||
\(748\) | −0.181320 | + | 0.314055i | −0.00662970 | + | 0.0114830i | ||||
\(749\) | −28.9096 | −1.05633 | ||||||||
\(750\) | −14.9102 | − | 26.8026i | −0.544444 | − | 0.978693i | ||||
\(751\) | 22.4840 | − | 26.7953i | 0.820451 | − | 0.977776i | −0.179531 | − | 0.983752i | \(-0.557458\pi\) |
0.999982 | + | 0.00597659i | \(0.00190242\pi\) | |||||||
\(752\) | 14.2369 | + | 8.21969i | 0.519167 | + | 0.299741i | ||||
\(753\) | 7.27004 | + | 45.4541i | 0.264935 | + | 1.65644i | ||||
\(754\) | −2.76027 | + | 3.28956i | −0.100523 | + | 0.119799i | ||||
\(755\) | 35.1077 | − | 29.4588i | 1.27770 | − | 1.07212i | ||||
\(756\) | 1.72367 | + | 0.389673i | 0.0626891 | + | 0.0141723i | ||||
\(757\) | −6.66965 | − | 37.8255i | −0.242412 | − | 1.37479i | −0.826426 | − | 0.563046i | \(-0.809630\pi\) |
0.584013 | − | 0.811744i | \(-0.301482\pi\) | |||||||
\(758\) | −22.0367 | − | 26.2623i | −0.800409 | − | 0.953890i | ||||
\(759\) | −18.7903 | − | 23.1322i | −0.682046 | − | 0.839645i | ||||
\(760\) | −19.4402 | + | 12.5202i | −0.705170 | + | 0.454155i | ||||
\(761\) | 9.57956 | − | 5.53076i | 0.347259 | − | 0.200490i | −0.316219 | − | 0.948686i | \(-0.602413\pi\) |
0.663477 | + | 0.748196i | \(0.269080\pi\) | |||||||
\(762\) | 1.24153 | − | 6.43936i | 0.0449760 | − | 0.233273i | ||||
\(763\) | 14.5936 | − | 40.0956i | 0.528324 | − | 1.45156i | ||||
\(764\) | 1.00041 | − | 1.19224i | 0.0361934 | − | 0.0431337i | ||||
\(765\) | 2.76193 | − | 4.45004i | 0.0998576 | − | 0.160892i | ||||
\(766\) | −2.69708 | + | 15.2959i | −0.0974495 | + | 0.552663i | ||||
\(767\) | 1.80935 | − | 1.04463i | 0.0653319 | − | 0.0377194i | ||||
\(768\) | −6.11333 | + | 0.977780i | −0.220596 | + | 0.0352826i | ||||
\(769\) | 1.57933 | + | 1.32521i | 0.0569520 | + | 0.0477884i | 0.670819 | − | 0.741621i | \(-0.265943\pi\) |
−0.613867 | + | 0.789409i | \(0.710387\pi\) | |||||||
\(770\) | 13.5289 | + | 11.3521i | 0.487549 | + | 0.409102i | ||||
\(771\) | 38.0585 | − | 6.08717i | 1.37064 | − | 0.219224i | ||||
\(772\) | −0.707284 | + | 0.408350i | −0.0254557 | + | 0.0146969i | ||||
\(773\) | −6.86834 | + | 38.9523i | −0.247037 | + | 1.40102i | 0.568677 | + | 0.822561i | \(0.307456\pi\) |
−0.815714 | + | 0.578456i | \(0.803655\pi\) | |||||||
\(774\) | 16.3350 | − | 26.3191i | 0.587149 | − | 0.946020i | ||||
\(775\) | −4.25577 | + | 5.07183i | −0.152872 | + | 0.182186i | ||||
\(776\) | 3.80048 | − | 10.4417i | 0.136429 | − | 0.374836i | ||||
\(777\) | −4.90135 | + | 25.4214i | −0.175835 | + | 0.911988i | ||||
\(778\) | 22.8317 | − | 13.1819i | 0.818555 | − | 0.472593i | ||||
\(779\) | 16.4563 | − | 31.9971i | 0.589607 | − | 1.14641i | ||||
\(780\) | 0.148852 | + | 0.183247i | 0.00532975 | + | 0.00656129i | ||||
\(781\) | −0.168606 | − | 0.200937i | −0.00603320 | − | 0.00719008i | ||||
\(782\) | 1.44199 | + | 8.17791i | 0.0515653 | + | 0.292442i | ||||
\(783\) | 22.1886 | − | 24.0129i | 0.792956 | − | 0.858150i | ||||
\(784\) | 6.03652 | − | 5.06524i | 0.215590 | − | 0.180901i | ||||
\(785\) | 3.98502 | − | 4.74917i | 0.142232 | − | 0.169505i | ||||
\(786\) | −6.46334 | − | 40.4104i | −0.230540 | − | 1.44139i | ||||
\(787\) | −10.3984 | − | 6.00352i | −0.370663 | − | 0.214003i | 0.303085 | − | 0.952964i | \(-0.401983\pi\) |
−0.673748 | + | 0.738961i | \(0.735317\pi\) | |||||||
\(788\) | −1.37240 | + | 1.63556i | −0.0488896 | + | 0.0582644i | ||||
\(789\) | −5.13538 | − | 9.23136i | −0.182824 | − | 0.328645i | ||||
\(790\) | 34.2112 | 1.21718 | ||||||||
\(791\) | −21.3853 | + | 37.0404i | −0.760373 | + | 1.31700i | ||||
\(792\) | −13.6433 | − | 17.3537i | −0.484793 | − | 0.616635i | ||||
\(793\) | 2.56517 | + | 3.05705i | 0.0910920 | + | 0.108559i | ||||
\(794\) | 28.3479 | − | 10.3178i | 1.00603 | − | 0.366165i | ||||
\(795\) | −8.10901 | + | 42.0583i | −0.287597 | + | 1.49166i | ||||
\(796\) | 0.705351 | + | 4.00024i | 0.0250005 | + | 0.141785i | ||||
\(797\) | −14.3087 | − | 24.7834i | −0.506841 | − | 0.877874i | −0.999969 | − | 0.00791737i | \(-0.997480\pi\) |
0.493128 | − | 0.869957i | \(-0.335854\pi\) | |||||||
\(798\) | −15.5223 | + | 19.7750i | −0.549482 | + | 0.700027i | ||||
\(799\) | 1.71579 | − | 2.97184i | 0.0607003 | − | 0.105136i | ||||
\(800\) | 0.934418 | + | 0.340100i | 0.0330367 | + | 0.0120244i | ||||
\(801\) | −24.4196 | − | 0.778462i | −0.862824 | − | 0.0275056i | ||||
\(802\) | 4.60293 | + | 3.86232i | 0.162535 | + | 0.136383i | ||||
\(803\) | 17.5959 | − | 3.10263i | 0.620944 | − | 0.109489i | ||||
\(804\) | 0.797353 | + | 0.0127060i | 0.0281205 | + | 0.000448107i | ||||
\(805\) | 28.1714 | 0.992913 | ||||||||
\(806\) | 1.92073 | − | 3.32680i | 0.0676548 | − | 0.117182i | ||||
\(807\) | 13.4650 | + | 8.06276i | 0.473990 | + | 0.283823i | ||||
\(808\) | −19.5587 | − | 3.44872i | −0.688072 | − | 0.121326i | ||||
\(809\) | 9.69747 | − | 5.59884i | 0.340945 | − | 0.196845i | −0.319745 | − | 0.947504i | \(-0.603597\pi\) |
0.660690 | + | 0.750659i | \(0.270264\pi\) | |||||||
\(810\) | −15.2936 | − | 20.7830i | −0.537362 | − | 0.730241i | ||||
\(811\) | 49.9052 | + | 8.79963i | 1.75241 | + | 0.308997i | 0.955475 | − | 0.295071i | \(-0.0953432\pi\) |
0.796933 | + | 0.604068i | \(0.206454\pi\) | |||||||
\(812\) | −0.371589 | − | 2.10738i | −0.0130402 | − | 0.0739547i | ||||
\(813\) | 0.548198 | − | 34.4016i | 0.0192261 | − | 1.20652i | ||||
\(814\) | −20.0510 | + | 16.8248i | −0.702788 | + | 0.589709i | ||||
\(815\) | 24.8082 | − | 4.37435i | 0.868992 | − | 0.153227i | ||||
\(816\) | 1.04458 | + | 6.53098i | 0.0365676 | + | 0.228630i | ||||
\(817\) | 16.6209 | + | 25.8074i | 0.581493 | + | 0.902888i | ||||
\(818\) | 30.8121i | 1.07732i | ||||||||
\(819\) | −2.69451 | − | 1.67235i | −0.0941537 | − | 0.0584367i | ||||
\(820\) | 2.38047 | − | 0.419741i | 0.0831295 | − | 0.0146580i | ||||
\(821\) | 12.4201 | + | 34.1238i | 0.433463 | + | 1.19093i | 0.943673 | + | 0.330880i | \(0.107346\pi\) |
−0.510210 | + | 0.860050i | \(0.670432\pi\) | |||||||
\(822\) | 6.79524 | − | 2.35134i | 0.237011 | − | 0.0820125i | ||||
\(823\) | 49.1479 | − | 17.8884i | 1.71319 | − | 0.623549i | 0.715972 | − | 0.698129i | \(-0.245984\pi\) |
0.997215 | + | 0.0745802i | \(0.0237617\pi\) | |||||||
\(824\) | 41.3399i | 1.44014i | ||||||||
\(825\) | 0.872746 | + | 5.45663i | 0.0303851 | + | 0.189975i | ||||
\(826\) | −2.59530 | + | 14.7187i | −0.0903021 | + | 0.512129i | ||||
\(827\) | 4.78455 | − | 1.74143i | 0.166375 | − | 0.0605556i | −0.257490 | − | 0.966281i | \(-0.582895\pi\) |
0.423865 | + | 0.905725i | \(0.360673\pi\) | |||||||
\(828\) | 2.78944 | + | 0.584059i | 0.0969396 | + | 0.0202975i | ||||
\(829\) | −29.7141 | − | 17.1554i | −1.03201 | − | 0.595833i | −0.114453 | − | 0.993429i | \(-0.536511\pi\) |
−0.917561 | + | 0.397595i | \(0.869845\pi\) | |||||||
\(830\) | −8.11439 | − | 6.80878i | −0.281655 | − | 0.236336i | ||||
\(831\) | 1.49974 | − | 1.73056i | 0.0520254 | − | 0.0600323i | ||||
\(832\) | 3.35303 | + | 0.591230i | 0.116245 | + | 0.0204972i | ||||
\(833\) | −1.05733 | − | 1.26007i | −0.0366342 | − | 0.0436589i | ||||
\(834\) | −7.56923 | − | 21.8746i | −0.262101 | − | 0.757456i | ||||
\(835\) | 3.43890 | + | 1.98545i | 0.119008 | + | 0.0687093i | ||||
\(836\) | −1.72662 | + | 0.391740i | −0.0597163 | + | 0.0135486i | ||||
\(837\) | −15.8175 | + | 24.6015i | −0.546731 | + | 0.850353i | ||||
\(838\) | −13.1107 | + | 36.0213i | −0.452901 | + | 1.24433i | ||||
\(839\) | 0.501653 | + | 0.182587i | 0.0173190 | + | 0.00630359i | 0.350665 | − | 0.936501i | \(-0.385956\pi\) |
−0.333346 | + | 0.942805i | \(0.608178\pi\) | |||||||
\(840\) | 20.8640 | + | 0.332473i | 0.719877 | + | 0.0114714i | ||||
\(841\) | −9.95212 | − | 3.62228i | −0.343177 | − | 0.124906i | ||||
\(842\) | 13.7251 | + | 37.7095i | 0.473000 | + | 1.29956i | ||||
\(843\) | −19.6832 | + | 51.5103i | −0.677925 | + | 1.77411i | ||||
\(844\) | − | 1.44469i | − | 0.0497284i | ||||||
\(845\) | 8.54949 | + | 23.4895i | 0.294112 | + | 0.808065i | ||||
\(846\) | −10.4491 | − | 13.2908i | −0.359248 | − | 0.456948i | ||||
\(847\) | 4.13679 | + | 7.16513i | 0.142142 | + | 0.246197i | ||||
\(848\) | −27.0452 | − | 46.8436i | −0.928735 | − | 1.60862i | ||||
\(849\) | 37.7651 | + | 22.6136i | 1.29610 | + | 0.776095i | ||||
\(850\) | 0.526627 | − | 1.44689i | 0.0180631 | − | 0.0496281i | ||||
\(851\) | −7.25024 | + | 41.1181i | −0.248535 | + | 1.40951i | ||||
\(852\) | 0.0246300 | + | 0.00474876i | 0.000843809 | + | 0.000162690i | ||||
\(853\) | −2.59132 | + | 2.17437i | −0.0887250 | + | 0.0744492i | −0.686071 | − | 0.727534i | \(-0.740666\pi\) |
0.597346 | + | 0.801983i | \(0.296222\pi\) | |||||||
\(854\) | −28.5479 | −0.976890 | ||||||||
\(855\) | 25.1045 | − | 4.86033i | 0.858557 | − | 0.166220i | ||||
\(856\) | −34.5337 | −1.18034 | ||||||||
\(857\) | 16.2094 | − | 13.6013i | 0.553701 | − | 0.464610i | −0.322491 | − | 0.946573i | \(-0.604520\pi\) |
0.876192 | + | 0.481962i | \(0.160076\pi\) | |||||||
\(858\) | −1.04845 | − | 3.02996i | −0.0357936 | − | 0.103441i | ||||
\(859\) | 0.0631187 | − | 0.357964i | 0.00215358 | − | 0.0122136i | −0.983712 | − | 0.179752i | \(-0.942471\pi\) |
0.985866 | + | 0.167538i | \(0.0535817\pi\) | |||||||
\(860\) | −0.705311 | + | 1.93783i | −0.0240509 | + | 0.0660793i | ||||
\(861\) | −28.3747 | + | 15.7848i | −0.967008 | + | 0.537944i | ||||
\(862\) | 13.2192 | + | 22.8963i | 0.450248 | + | 0.779852i | ||||
\(863\) | 26.1610 | + | 45.3121i | 0.890529 | + | 1.54244i | 0.839242 | + | 0.543758i | \(0.182999\pi\) |
0.0512872 | + | 0.998684i | \(0.483668\pi\) | |||||||
\(864\) | 4.28462 | + | 0.968633i | 0.145766 | + | 0.0329536i | ||||
\(865\) | 4.18976 | + | 11.5113i | 0.142456 | + | 0.391395i | ||||
\(866\) | 2.79750i | 0.0950628i | ||||||||
\(867\) | −27.7120 | + | 4.43233i | −0.941150 | + | 0.150530i | ||||
\(868\) | 0.654721 | + | 1.79883i | 0.0222227 | + | 0.0610563i | ||||
\(869\) | −30.4132 | − | 11.0695i | −1.03170 | − | 0.375507i | ||||
\(870\) | −16.0522 | + | 26.8076i | −0.544222 | + | 0.908863i | ||||
\(871\) | −1.34478 | − | 0.489461i | −0.0455662 | − | 0.0165847i | ||||
\(872\) | 17.4326 | − | 47.8958i | 0.590344 | − | 1.62196i | ||||
\(873\) | −8.19454 | + | 9.15676i | −0.277343 | + | 0.309909i | ||||
\(874\) | −24.5216 | + | 32.2862i | −0.829456 | + | 1.09210i | ||||
\(875\) | −23.7533 | − | 13.7140i | −0.803008 | − | 0.463617i | ||||
\(876\) | −1.11899 | + | 1.29121i | −0.0378072 | + | 0.0436259i | ||||
\(877\) | −2.72941 | − | 3.25278i | −0.0921656 | − | 0.109839i | 0.717990 | − | 0.696053i | \(-0.245062\pi\) |
−0.810156 | + | 0.586214i | \(0.800618\pi\) | |||||||
\(878\) | 0.210102 | + | 0.0370466i | 0.00709059 | + | 0.00125026i | ||||
\(879\) | 5.07299 | + | 14.6606i | 0.171108 | + | 0.494491i | ||||
\(880\) | 17.3777 | + | 14.5817i | 0.585804 | + | 0.491548i | ||||
\(881\) | 1.69059 | + | 0.976064i | 0.0569575 | + | 0.0328844i | 0.528208 | − | 0.849115i | \(-0.322864\pi\) |
−0.471251 | + | 0.881999i | \(0.656197\pi\) | |||||||
\(882\) | −7.69974 | + | 2.52769i | −0.259264 | + | 0.0851118i | ||||
\(883\) | 9.34414 | − | 3.40099i | 0.314455 | − | 0.114452i | −0.179971 | − | 0.983672i | \(-0.557600\pi\) |
0.494426 | + | 0.869220i | \(0.335378\pi\) | |||||||
\(884\) | −0.0108066 | + | 0.0612874i | −0.000363466 | + | 0.00206132i | ||||
\(885\) | 11.7997 | − | 9.58497i | 0.396644 | − | 0.322195i | ||||
\(886\) | 37.5282i | 1.26079i | ||||||||
\(887\) | 16.9168 | − | 6.15721i | 0.568011 | − | 0.206739i | −0.0420200 | − | 0.999117i | \(-0.513379\pi\) |
0.610031 | + | 0.792378i | \(0.291157\pi\) | |||||||
\(888\) | −5.85485 | + | 30.3669i | −0.196476 | + | 1.01905i | ||||
\(889\) | −2.00580 | − | 5.51090i | −0.0672725 | − | 0.184830i | ||||
\(890\) | 22.9947 | − | 4.05459i | 0.770784 | − | 0.135910i | ||||
\(891\) | 6.87114 | + | 23.4243i | 0.230192 | + | 0.784743i | ||||
\(892\) | − | 2.99789i | − | 0.100377i | ||||||
\(893\) | 16.3386 | − | 3.70695i | 0.546751 | − | 0.124048i | ||||
\(894\) | 16.9656 | − | 13.7812i | 0.567414 | − | 0.460912i | ||||
\(895\) | −23.1316 | + | 4.07873i | −0.773205 | + | 0.136337i | ||||
\(896\) | −21.5995 | + | 18.1241i | −0.721587 | + | 0.605484i | ||||
\(897\) | −4.38789 | − | 2.62744i | −0.146507 | − | 0.0877278i | ||||
\(898\) | −0.780620 | − | 4.42711i | −0.0260496 | − | 0.147735i | ||||
\(899\) | 34.8785 | + | 6.15003i | 1.16326 | + | 0.205115i | ||||
\(900\) | −0.393779 | − | 0.352399i | −0.0131260 | − | 0.0117466i | ||||
\(901\) | −9.77820 | + | 5.64545i | −0.325759 | + | 0.188077i | ||||
\(902\) | −32.3287 | − | 5.70042i | −1.07643 | − | 0.189803i | ||||
\(903\) | 0.441368 | − | 27.6976i | 0.0146878 | − | 0.921719i | ||||
\(904\) | −25.5456 | + | 44.2462i | −0.849633 | + | 1.47161i | ||||
\(905\) | 17.2339 | 0.572875 | ||||||||
\(906\) | 30.5772 | − | 51.0646i | 1.01586 | − | 1.69651i | ||||
\(907\) | 27.5416 | − | 4.85632i | 0.914503 | − | 0.161251i | 0.303455 | − | 0.952846i | \(-0.401860\pi\) |
0.611047 | + | 0.791594i | \(0.290749\pi\) | |||||||
\(908\) | 0.208881 | + | 0.175272i | 0.00693194 | + | 0.00581659i | ||||
\(909\) | 18.6607 | + | 11.5818i | 0.618935 | + | 0.384144i | ||||
\(910\) | 2.84800 | + | 1.03659i | 0.0944104 | + | 0.0343626i | ||||
\(911\) | −25.1815 | + | 43.6156i | −0.834299 | + | 1.44505i | 0.0603009 | + | 0.998180i | \(0.480794\pi\) |
−0.894600 | + | 0.446868i | \(0.852539\pi\) | |||||||
\(912\) | −19.9381 | + | 25.4007i | −0.660217 | + | 0.841101i | ||||
\(913\) | 5.01050 | + | 8.67844i | 0.165823 | + | 0.287215i | ||||
\(914\) | −2.11149 | − | 11.9748i | −0.0698417 | − | 0.396092i | ||||
\(915\) | 21.9439 | + | 19.0171i | 0.725444 | + | 0.628686i | ||||
\(916\) | 2.71332 | − | 0.987569i | 0.0896508 | − | 0.0326302i | ||||
\(917\) | −23.5242 | − | 28.0350i | −0.776837 | − | 0.925798i | ||||
\(918\) | 1.49987 | − | 6.63450i | 0.0495032 | − | 0.218971i | ||||
\(919\) | 16.9229 | − | 29.3114i | 0.558236 | − | 0.966894i | −0.439407 | − | 0.898288i | \(-0.644812\pi\) |
0.997644 | − | 0.0686059i | \(-0.0218551\pi\) | |||||||
\(920\) | 33.6519 | 1.10947 | ||||||||
\(921\) | −18.4139 | + | 30.7516i | −0.606759 | + | 1.01330i | ||||
\(922\) | 26.4113 | − | 31.4757i | 0.869809 | − | 1.03660i | ||||
\(923\) | −0.0389835 | − | 0.0225071i | −0.00128316 | − | 0.000740831i | ||||
\(924\) | 1.49248 | + | 0.570308i | 0.0490989 | + | 0.0187618i | ||||
\(925\) | 4.97634 | − | 5.93057i | 0.163621 | − | 0.194996i | ||||
\(926\) | −8.17096 | + | 6.85625i | −0.268514 | + | 0.225310i | ||||
\(927\) | 16.9966 | − | 42.4388i | 0.558240 | − | 1.39387i | ||||
\(928\) | −0.923681 | − | 5.23845i | −0.0303213 | − | 0.171961i | ||||
\(929\) | 26.0094 | + | 30.9968i | 0.853340 | + | 1.01697i | 0.999616 | + | 0.0277274i | \(0.00882703\pi\) |
−0.146275 | + | 0.989244i | \(0.546729\pi\) | |||||||
\(930\) | 9.97735 | − | 26.1104i | 0.327170 | − | 0.856193i | ||||
\(931\) | 1.00890 | − | 7.96724i | 0.0330652 | − | 0.261116i | ||||
\(932\) | 3.14883 | − | 1.81798i | 0.103143 | − | 0.0595499i | ||||
\(933\) | 5.93908 | + | 5.14694i | 0.194437 | + | 0.168503i | ||||
\(934\) | −3.14730 | + | 8.64713i | −0.102983 | + | 0.282943i | ||||
\(935\) | 3.04380 | − | 3.62745i | 0.0995428 | − | 0.118630i | ||||
\(936\) | −3.21870 | − | 1.99769i | −0.105206 | − | 0.0652966i | ||||
\(937\) | 5.96825 | − | 33.8476i | 0.194974 | − | 1.10575i | −0.717482 | − | 0.696577i | \(-0.754705\pi\) |
0.912456 | − | 0.409176i | \(-0.134184\pi\) | |||||||
\(938\) | 8.86589 | − | 5.11872i | 0.289481 | − | 0.167132i | ||||
\(939\) | 1.67148 | + | 2.05770i | 0.0545466 | + | 0.0671505i | ||||
\(940\) | 0.862201 | + | 0.723472i | 0.0281219 | + | 0.0235971i | ||||
\(941\) | 15.1055 | + | 12.6750i | 0.492425 | + | 0.413193i | 0.854894 | − | 0.518802i | \(-0.173622\pi\) |
−0.362470 | + | 0.931996i | \(0.618066\pi\) | |||||||
\(942\) | 2.87395 | − | 7.52104i | 0.0936385 | − | 0.245049i | ||||
\(943\) | −45.3489 | + | 26.1822i | −1.47676 | + | 0.852609i | ||||
\(944\) | −3.33363 | + | 18.9060i | −0.108500 | + | 0.615336i | ||||
\(945\) | −21.2819 | − | 8.91938i | −0.692301 | − | 0.290147i | ||||
\(946\) | 18.0021 | − | 21.4540i | 0.585298 | − | 0.697531i | ||||
\(947\) | −0.144520 | + | 0.397065i | −0.00469627 | + | 0.0129029i | −0.942019 | − | 0.335561i | \(-0.891074\pi\) |
0.937322 | + | 0.348464i | \(0.113296\pi\) | |||||||
\(948\) | 2.92485 | − | 1.01208i | 0.0949947 | − | 0.0328708i | ||||
\(949\) | 2.65543 | − | 1.53311i | 0.0861988 | − | 0.0497669i | ||||
\(950\) | 6.93095 | − | 2.91109i | 0.224870 | − | 0.0944481i | ||||
\(951\) | −25.4666 | + | 4.07318i | −0.825810 | + | 0.132082i | ||||
\(952\) | 3.53566 | + | 4.21364i | 0.114592 | + | 0.136565i | ||||
\(953\) | −5.35995 | − | 30.3978i | −0.173626 | − | 0.984681i | −0.939718 | − | 0.341950i | \(-0.888913\pi\) |
0.766092 | − | 0.642731i | \(-0.222199\pi\) | |||||||
\(954\) | 7.90918 | + | 55.0622i | 0.256069 | + | 1.78270i | ||||
\(955\) | −15.5681 | + | 13.0632i | −0.503772 | + | 0.422715i | ||||
\(956\) | 0.712753 | − | 0.849426i | 0.0230521 | − | 0.0274724i | ||||
\(957\) | 22.9442 | − | 18.6376i | 0.741681 | − | 0.602469i | ||||
\(958\) | −13.1452 | − | 7.58936i | −0.424701 | − | 0.245201i | ||||
\(959\) | 4.13332 | − | 4.92589i | 0.133472 | − | 0.159065i | ||||
\(960\) | 24.7710 | + | 0.394732i | 0.799481 | + | 0.0127399i | ||||
\(961\) | −0.682466 | −0.0220150 | ||||||||
\(962\) | −2.24594 | + | 3.89008i | −0.0724119 | + | 0.125421i | ||||
\(963\) | 35.4517 | + | 14.1982i | 1.14241 | + | 0.457532i | ||||
\(964\) | 1.34084 | + | 1.59796i | 0.0431857 | + | 0.0514667i | ||||
\(965\) | 10.0213 | − | 3.64744i | 0.322596 | − | 0.117415i | ||||
\(966\) | 34.5750 | − | 11.9639i | 1.11243 | − | 0.384932i | ||||
\(967\) | −8.36338 | − | 47.4311i | −0.268948 | − | 1.52528i | −0.757551 | − | 0.652776i | \(-0.773604\pi\) |
0.488603 | − | 0.872506i | \(-0.337507\pi\) | |||||||
\(968\) | 4.94156 | + | 8.55903i | 0.158828 | + | 0.275098i | ||||
\(969\) | 5.30218 | + | 4.16191i | 0.170330 | + | 0.133700i | ||||
\(970\) | 5.87180 | − | 10.1703i | 0.188532 | − | 0.326547i | ||||
\(971\) | −56.0935 | − | 20.4164i | −1.80013 | − | 0.655192i | −0.998341 | − | 0.0575796i | \(-0.981662\pi\) |
−0.801785 | − | 0.597613i | \(-0.796116\pi\) | |||||||
\(972\) | −1.92234 | − | 1.32439i | −0.0616591 | − | 0.0424798i | ||||
\(973\) | −15.8570 | − | 13.3056i | −0.508352 | − | 0.426558i | ||||
\(974\) | −26.3558 | + | 4.64723i | −0.844493 | + | 0.148907i | ||||
\(975\) | 0.461014 | + | 0.828719i | 0.0147643 | + | 0.0265402i | ||||
\(976\) | −36.6694 | −1.17376 | ||||||||
\(977\) | 9.11934 | − | 15.7952i | 0.291754 | − | 0.505332i | −0.682471 | − | 0.730913i | \(-0.739095\pi\) |
0.974224 | + | 0.225581i | \(0.0724280\pi\) | |||||||
\(978\) | 28.5895 | − | 15.9042i | 0.914190 | − | 0.508561i | ||||
\(979\) | −21.7539 | − | 3.83580i | −0.695257 | − | 0.122593i | ||||
\(980\) | 0.467231 | − | 0.269756i | 0.0149252 | − | 0.00861705i | ||||
\(981\) | −37.5880 | + | 42.0017i | −1.20009 | + | 1.34101i | ||||
\(982\) | −7.76219 | − | 1.36868i | −0.247701 | − | 0.0436765i | ||||
\(983\) | −1.97648 | − | 11.2092i | −0.0630399 | − | 0.357517i | −0.999968 | − | 0.00799510i | \(-0.997455\pi\) |
0.936928 | − | 0.349522i | \(-0.113656\pi\) | |||||||
\(984\) | −33.8948 | + | 18.8555i | −1.08053 | + | 0.601093i | ||||
\(985\) | 21.3570 | − | 17.9206i | 0.680489 | − | 0.570998i | ||||
\(986\) | −8.11145 | + | 1.43027i | −0.258321 | + | 0.0455490i | ||||
\(987\) | −14.1230 | − | 5.39671i | −0.449540 | − | 0.171779i | ||||
\(988\) | −0.255444 | + | 0.164515i | −0.00812676 | + | 0.00523393i | ||||
\(989\) | − | 44.6739i | − | 1.42055i | ||||||
\(990\) | −11.0151 | − | 20.5655i | −0.350084 | − | 0.653613i | ||||
\(991\) | −18.7600 | + | 3.30789i | −0.595931 | + | 0.105079i | −0.463475 | − | 0.886110i | \(-0.653397\pi\) |
−0.132456 | + | 0.991189i | \(0.542286\pi\) | |||||||
\(992\) | 1.62748 | + | 4.47146i | 0.0516725 | + | 0.141969i | ||||
\(993\) | 3.80661 | + | 3.29889i | 0.120799 | + | 0.104687i | ||||
\(994\) | 0.302595 | − | 0.110135i | 0.00959772 | − | 0.00349328i | ||||
\(995\) | − | 53.0406i | − | 1.68150i | ||||||
\(996\) | −0.895159 | − | 0.342060i | −0.0283642 | − | 0.0108386i | ||||
\(997\) | 1.41498 | − | 8.02474i | 0.0448128 | − | 0.254146i | −0.954169 | − | 0.299270i | \(-0.903257\pi\) |
0.998981 | + | 0.0451235i | \(0.0143681\pi\) | |||||||
\(998\) | −46.3535 | + | 16.8713i | −1.46729 | + | 0.534051i | ||||
\(999\) | 18.4956 | − | 28.7669i | 0.585174 | − | 0.910145i |
(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 | 171.2.x.a.110.13 | yes | 108 | |
3.2 | odd | 2 | 513.2.bo.a.224.6 | 108 | |||
9.4 | even | 3 | 513.2.cd.a.395.13 | 108 | |||
9.5 | odd | 6 | 171.2.bd.a.167.6 | yes | 108 | ||
19.14 | odd | 18 | 171.2.bd.a.128.6 | yes | 108 | ||
57.14 | even | 18 | 513.2.cd.a.413.13 | 108 | |||
171.14 | even | 18 | inner | 171.2.x.a.14.13 | ✓ | 108 | |
171.166 | odd | 18 | 513.2.bo.a.71.6 | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.x.a.14.13 | ✓ | 108 | 171.14 | even | 18 | inner | |
171.2.x.a.110.13 | yes | 108 | 1.1 | even | 1 | trivial | |
171.2.bd.a.128.6 | yes | 108 | 19.14 | odd | 18 | ||
171.2.bd.a.167.6 | yes | 108 | 9.5 | odd | 6 | ||
513.2.bo.a.71.6 | 108 | 171.166 | odd | 18 | |||
513.2.bo.a.224.6 | 108 | 3.2 | odd | 2 | |||
513.2.cd.a.395.13 | 108 | 9.4 | even | 3 | |||
513.2.cd.a.413.13 | 108 | 57.14 | even | 18 |