Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 87.7 | ||
Character | \(\chi\) | \(=\) | 175.87 |
Dual form | 175.2.x.a.173.7 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.788610 | + | 0.638604i | −0.557631 | + | 0.451561i | −0.866240 | − | 0.499628i | \(-0.833470\pi\) |
0.308609 | + | 0.951189i | \(0.400137\pi\) | |||||||
\(3\) | −1.66348 | − | 2.56154i | −0.960413 | − | 1.47891i | −0.875906 | − | 0.482483i | \(-0.839735\pi\) |
−0.0845070 | − | 0.996423i | \(-0.526932\pi\) | |||||||
\(4\) | −0.201733 | + | 0.949077i | −0.100866 | + | 0.474538i | ||||
\(5\) | 0.510579 | − | 2.17700i | 0.228338 | − | 0.973582i | ||||
\(6\) | 2.94765 | + | 0.957749i | 1.20337 | + | 0.390999i | ||||
\(7\) | −1.35553 | + | 2.27212i | −0.512341 | + | 0.858782i | ||||
\(8\) | −1.36837 | − | 2.68558i | −0.483792 | − | 0.949495i | ||||
\(9\) | −2.57410 | + | 5.78152i | −0.858033 | + | 1.92717i | ||||
\(10\) | 0.987590 | + | 2.04286i | 0.312303 | + | 0.646008i | ||||
\(11\) | −4.12029 | + | 1.83447i | −1.24231 | + | 0.553114i | −0.919403 | − | 0.393316i | \(-0.871328\pi\) |
−0.322911 | + | 0.946430i | \(0.604661\pi\) | |||||||
\(12\) | 2.76668 | − | 1.06203i | 0.798671 | − | 0.306581i | ||||
\(13\) | 0.803090 | + | 0.127197i | 0.222737 | + | 0.0352781i | 0.266805 | − | 0.963750i | \(-0.414032\pi\) |
−0.0440683 | + | 0.999029i | \(0.514032\pi\) | |||||||
\(14\) | −0.382006 | − | 2.65746i | −0.102095 | − | 0.710237i | ||||
\(15\) | −6.42580 | + | 2.31353i | −1.65913 | + | 0.597350i | ||||
\(16\) | 1.02134 | + | 0.454731i | 0.255335 | + | 0.113683i | ||||
\(17\) | −4.97164 | − | 0.260553i | −1.20580 | − | 0.0631933i | −0.561178 | − | 0.827695i | \(-0.689652\pi\) |
−0.644622 | + | 0.764502i | \(0.722985\pi\) | |||||||
\(18\) | −1.66214 | − | 6.20319i | −0.391770 | − | 1.46211i | ||||
\(19\) | −2.27328 | + | 0.483201i | −0.521527 | + | 0.110854i | −0.461151 | − | 0.887322i | \(-0.652563\pi\) |
−0.0603761 | + | 0.998176i | \(0.519230\pi\) | |||||||
\(20\) | 1.96314 | + | 0.923750i | 0.438970 | + | 0.206557i | ||||
\(21\) | 8.07503 | − | 0.307407i | 1.76212 | − | 0.0670817i | ||||
\(22\) | 2.07780 | − | 4.07791i | 0.442989 | − | 0.869414i | ||||
\(23\) | −0.849782 | − | 1.04939i | −0.177192 | − | 0.218814i | 0.680810 | − | 0.732460i | \(-0.261628\pi\) |
−0.858002 | + | 0.513646i | \(0.828294\pi\) | |||||||
\(24\) | −4.60295 | + | 7.97255i | −0.939574 | + | 1.62739i | ||||
\(25\) | −4.47862 | − | 2.22306i | −0.895724 | − | 0.444611i | ||||
\(26\) | −0.714553 | + | 0.412547i | −0.140135 | + | 0.0809072i | ||||
\(27\) | 10.0415 | − | 1.59042i | 1.93249 | − | 0.306076i | ||||
\(28\) | −1.88297 | − | 1.74486i | −0.355847 | − | 0.329748i | ||||
\(29\) | 7.43700 | − | 2.41643i | 1.38102 | − | 0.448720i | 0.478013 | − | 0.878353i | \(-0.341357\pi\) |
0.903004 | + | 0.429633i | \(0.141357\pi\) | |||||||
\(30\) | 3.59002 | − | 5.92801i | 0.655445 | − | 1.08230i | ||||
\(31\) | −0.204730 | + | 0.184340i | −0.0367706 | + | 0.0331084i | −0.687311 | − | 0.726363i | \(-0.741209\pi\) |
0.650540 | + | 0.759472i | \(0.274542\pi\) | |||||||
\(32\) | 4.72695 | − | 1.26658i | 0.835615 | − | 0.223902i | ||||
\(33\) | 11.5531 | + | 7.50267i | 2.01114 | + | 1.30605i | ||||
\(34\) | 4.08707 | − | 2.96943i | 0.700927 | − | 0.509254i | ||||
\(35\) | 4.25430 | + | 4.11107i | 0.719108 | + | 0.694898i | ||||
\(36\) | −4.96783 | − | 3.60934i | −0.827971 | − | 0.601556i | ||||
\(37\) | −0.367576 | − | 0.957569i | −0.0604292 | − | 0.157423i | 0.900042 | − | 0.435804i | \(-0.143536\pi\) |
−0.960471 | + | 0.278380i | \(0.910202\pi\) | |||||||
\(38\) | 1.48416 | − | 1.83278i | 0.240762 | − | 0.297317i | ||||
\(39\) | −1.01011 | − | 2.26874i | −0.161746 | − | 0.363288i | ||||
\(40\) | −6.54515 | + | 1.60774i | −1.03488 | + | 0.254205i | ||||
\(41\) | −3.95694 | − | 5.44626i | −0.617970 | − | 0.850563i | 0.379233 | − | 0.925301i | \(-0.376188\pi\) |
−0.997203 | + | 0.0747384i | \(0.976188\pi\) | |||||||
\(42\) | −6.17174 | + | 5.39917i | −0.952320 | + | 0.833110i | ||||
\(43\) | −6.40923 | + | 6.40923i | −0.977399 | + | 0.977399i | −0.999750 | − | 0.0223513i | \(-0.992885\pi\) |
0.0223513 | + | 0.999750i | \(0.492885\pi\) | |||||||
\(44\) | −0.909858 | − | 4.28054i | −0.137166 | − | 0.645316i | ||||
\(45\) | 11.2721 | + | 8.55572i | 1.68034 | + | 1.27541i | ||||
\(46\) | 1.34029 | + | 0.284888i | 0.197615 | + | 0.0420044i | ||||
\(47\) | −0.350687 | − | 6.69151i | −0.0511530 | − | 0.976057i | −0.896834 | − | 0.442368i | \(-0.854139\pi\) |
0.845681 | − | 0.533689i | \(-0.179195\pi\) | |||||||
\(48\) | −0.534174 | − | 3.37264i | −0.0771014 | − | 0.486799i | ||||
\(49\) | −3.32510 | − | 6.15985i | −0.475014 | − | 0.879978i | ||||
\(50\) | 4.95153 | − | 1.10694i | 0.700253 | − | 0.156545i | ||||
\(51\) | 7.60282 | + | 13.1685i | 1.06461 | + | 1.84396i | ||||
\(52\) | −0.282729 | + | 0.736534i | −0.0392074 | + | 0.102139i | ||||
\(53\) | −0.553898 | + | 0.359706i | −0.0760838 | + | 0.0494094i | −0.582120 | − | 0.813103i | \(-0.697777\pi\) |
0.506037 | + | 0.862512i | \(0.331110\pi\) | |||||||
\(54\) | −6.90319 | + | 7.66677i | −0.939405 | + | 1.04332i | ||||
\(55\) | 1.88990 | + | 9.90649i | 0.254834 | + | 1.33579i | ||||
\(56\) | 7.95683 | + | 0.531263i | 1.06328 | + | 0.0709931i | ||||
\(57\) | 5.01931 | + | 5.01931i | 0.664824 | + | 0.664824i | ||||
\(58\) | −4.32175 | + | 6.65492i | −0.567474 | + | 0.873833i | ||||
\(59\) | −0.778893 | − | 7.41067i | −0.101403 | − | 0.964787i | −0.920397 | − | 0.390985i | \(-0.872135\pi\) |
0.818994 | − | 0.573802i | \(-0.194532\pi\) | |||||||
\(60\) | −0.899422 | − | 6.56529i | −0.116115 | − | 0.847575i | ||||
\(61\) | 5.44821 | + | 0.572630i | 0.697571 | + | 0.0733177i | 0.446675 | − | 0.894696i | \(-0.352608\pi\) |
0.250896 | + | 0.968014i | \(0.419275\pi\) | |||||||
\(62\) | 0.0437321 | − | 0.276114i | 0.00555398 | − | 0.0350665i | ||||
\(63\) | −9.64708 | − | 13.6857i | −1.21542 | − | 1.72423i | ||||
\(64\) | −4.23316 | + | 5.82645i | −0.529145 | + | 0.728306i | ||||
\(65\) | 0.686948 | − | 1.68338i | 0.0852054 | − | 0.208797i | ||||
\(66\) | −13.9021 | + | 1.46117i | −1.71123 | + | 0.179858i | ||||
\(67\) | 0.261600 | − | 4.99163i | 0.0319596 | − | 0.609825i | −0.934961 | − | 0.354749i | \(-0.884566\pi\) |
0.966921 | − | 0.255076i | \(-0.0821005\pi\) | |||||||
\(68\) | 1.25023 | − | 4.66591i | 0.151612 | − | 0.565824i | ||||
\(69\) | −1.27446 | + | 3.92240i | −0.153427 | + | 0.472201i | ||||
\(70\) | −5.98033 | − | 0.525221i | −0.714786 | − | 0.0627759i | ||||
\(71\) | 2.15745 | + | 6.63995i | 0.256042 | + | 0.788017i | 0.993623 | + | 0.112758i | \(0.0359684\pi\) |
−0.737580 | + | 0.675260i | \(0.764032\pi\) | |||||||
\(72\) | 19.0490 | − | 0.998318i | 2.24495 | − | 0.117653i | ||||
\(73\) | −3.50462 | − | 1.34530i | −0.410185 | − | 0.157455i | 0.144521 | − | 0.989502i | \(-0.453836\pi\) |
−0.554706 | + | 0.832046i | \(0.687169\pi\) | |||||||
\(74\) | 0.901382 | + | 0.520413i | 0.104783 | + | 0.0604968i | ||||
\(75\) | 1.75566 | + | 15.1702i | 0.202726 | + | 1.75170i | ||||
\(76\) | − | 2.25500i | − | 0.258666i | ||||||
\(77\) | 1.41701 | − | 11.8485i | 0.161484 | − | 1.35026i | ||||
\(78\) | 2.24540 | + | 1.14409i | 0.254242 | + | 0.129543i | ||||
\(79\) | −10.8566 | − | 9.77534i | −1.22146 | − | 1.09981i | −0.991966 | − | 0.126503i | \(-0.959625\pi\) |
−0.229498 | − | 0.973309i | \(-0.573709\pi\) | |||||||
\(80\) | 1.51142 | − | 1.99128i | 0.168982 | − | 0.222632i | ||||
\(81\) | −8.07371 | − | 8.96677i | −0.897079 | − | 0.996307i | ||||
\(82\) | 6.59848 | + | 1.76806i | 0.728680 | + | 0.195249i | ||||
\(83\) | −10.5845 | + | 5.39306i | −1.16180 | + | 0.591965i | −0.925139 | − | 0.379628i | \(-0.876052\pi\) |
−0.236658 | + | 0.971593i | \(0.576052\pi\) | |||||||
\(84\) | −1.33724 | + | 7.72584i | −0.145905 | + | 0.842958i | ||||
\(85\) | −3.10564 | + | 10.6902i | −0.336854 | + | 1.15952i | ||||
\(86\) | 0.961425 | − | 9.14734i | 0.103673 | − | 0.986383i | ||||
\(87\) | −18.5611 | − | 15.0305i | −1.98996 | − | 1.61144i | ||||
\(88\) | 10.5647 | + | 8.55512i | 1.12620 | + | 0.911979i | ||||
\(89\) | −0.571786 | + | 5.44018i | −0.0606092 | + | 0.576658i | 0.921504 | + | 0.388368i | \(0.126961\pi\) |
−0.982113 | + | 0.188290i | \(0.939706\pi\) | |||||||
\(90\) | −14.3530 | + | 0.451251i | −1.51294 | + | 0.0475661i | ||||
\(91\) | −1.37762 | + | 1.65230i | −0.144413 | + | 0.173208i | ||||
\(92\) | 1.16738 | − | 0.594811i | 0.121708 | − | 0.0620134i | ||||
\(93\) | 0.812759 | + | 0.217778i | 0.0842792 | + | 0.0225825i | ||||
\(94\) | 4.54978 | + | 5.05304i | 0.469274 | + | 0.521181i | ||||
\(95\) | −0.108764 | + | 5.19564i | −0.0111590 | + | 0.533061i | ||||
\(96\) | −11.1076 | − | 10.0013i | −1.13367 | − | 1.02076i | ||||
\(97\) | −1.12622 | − | 0.573839i | −0.114350 | − | 0.0582645i | 0.395880 | − | 0.918302i | \(-0.370440\pi\) |
−0.510230 | + | 0.860038i | \(0.670440\pi\) | |||||||
\(98\) | 6.55591 | + | 2.73430i | 0.662247 | + | 0.276206i | ||||
\(99\) | − | 28.5436i | − | 2.86874i | ||||||
\(100\) | 3.01333 | − | 3.80209i | 0.301333 | − | 0.380209i | ||||
\(101\) | 9.30138 | + | 5.37016i | 0.925522 | + | 0.534350i | 0.885393 | − | 0.464844i | \(-0.153890\pi\) |
0.0401295 | + | 0.999194i | \(0.487223\pi\) | |||||||
\(102\) | −14.4051 | − | 5.52960i | −1.42632 | − | 0.547512i | ||||
\(103\) | 4.61207 | − | 0.241708i | 0.454440 | − | 0.0238162i | 0.176257 | − | 0.984344i | \(-0.443601\pi\) |
0.278183 | + | 0.960528i | \(0.410268\pi\) | |||||||
\(104\) | −0.757327 | − | 2.33081i | −0.0742620 | − | 0.228555i | ||||
\(105\) | 3.45372 | − | 17.7363i | 0.337048 | − | 1.73088i | ||||
\(106\) | 0.207100 | − | 0.637389i | 0.0201154 | − | 0.0619087i | ||||
\(107\) | −3.04003 | + | 11.3456i | −0.293891 | + | 1.09682i | 0.648203 | + | 0.761468i | \(0.275521\pi\) |
−0.942094 | + | 0.335349i | \(0.891146\pi\) | |||||||
\(108\) | −0.516270 | + | 9.85101i | −0.0496781 | + | 0.947914i | ||||
\(109\) | 4.14798 | − | 0.435971i | 0.397305 | − | 0.0417584i | 0.0962305 | − | 0.995359i | \(-0.469321\pi\) |
0.301074 | + | 0.953601i | \(0.402655\pi\) | |||||||
\(110\) | −7.81672 | − | 6.60546i | −0.745295 | − | 0.629806i | ||||
\(111\) | −1.84139 | + | 2.53446i | −0.174777 | + | 0.240560i | ||||
\(112\) | −2.41766 | + | 1.70422i | −0.228447 | + | 0.161033i | ||||
\(113\) | 0.745824 | − | 4.70895i | 0.0701612 | − | 0.442981i | −0.927453 | − | 0.373941i | \(-0.878006\pi\) |
0.997614 | − | 0.0690400i | \(-0.0219936\pi\) | |||||||
\(114\) | −7.16363 | − | 0.752927i | −0.670935 | − | 0.0705181i | ||||
\(115\) | −2.71840 | + | 1.31417i | −0.253492 | + | 0.122547i | ||||
\(116\) | 0.793091 | + | 7.54576i | 0.0736367 | + | 0.700606i | ||||
\(117\) | −2.80262 | + | 4.31566i | −0.259103 | + | 0.398983i | ||||
\(118\) | 5.34672 | + | 5.34672i | 0.492206 | + | 0.492206i | ||||
\(119\) | 7.33119 | − | 10.9430i | 0.672049 | − | 1.00314i | ||||
\(120\) | 15.0060 | + | 14.0912i | 1.36986 | + | 1.28635i | ||||
\(121\) | 6.25106 | − | 6.94251i | 0.568279 | − | 0.631137i | ||||
\(122\) | −4.66219 | + | 3.02766i | −0.422095 | + | 0.274112i | ||||
\(123\) | −7.36851 | + | 19.1956i | −0.664396 | + | 1.73081i | ||||
\(124\) | −0.133652 | − | 0.231492i | −0.0120023 | − | 0.0207886i | ||||
\(125\) | −7.12627 | + | 8.61488i | −0.637393 | + | 0.770539i | ||||
\(126\) | 16.3475 | + | 4.63200i | 1.45635 | + | 0.412651i | ||||
\(127\) | 1.92946 | + | 12.1821i | 0.171212 | + | 1.08099i | 0.912283 | + | 0.409561i | \(0.134318\pi\) |
−0.741071 | + | 0.671427i | \(0.765682\pi\) | |||||||
\(128\) | 0.129756 | + | 2.47588i | 0.0114689 | + | 0.218839i | ||||
\(129\) | 27.0792 | + | 5.75585i | 2.38419 | + | 0.506775i | ||||
\(130\) | 0.533278 | + | 1.76622i | 0.0467715 | + | 0.154907i | ||||
\(131\) | −1.29301 | − | 6.08313i | −0.112971 | − | 0.531486i | −0.997843 | − | 0.0656513i | \(-0.979087\pi\) |
0.884872 | − | 0.465835i | \(-0.154246\pi\) | |||||||
\(132\) | −9.45125 | + | 9.45125i | −0.822626 | + | 0.822626i | ||||
\(133\) | 1.98360 | − | 5.82017i | 0.172000 | − | 0.504673i | ||||
\(134\) | 2.98138 | + | 4.10351i | 0.257552 | + | 0.354489i | ||||
\(135\) | 1.66465 | − | 22.6724i | 0.143270 | − | 1.95133i | ||||
\(136\) | 6.10331 | + | 13.7083i | 0.523355 | + | 1.17547i | ||||
\(137\) | −7.64857 | + | 9.44520i | −0.653461 | + | 0.806958i | −0.990930 | − | 0.134379i | \(-0.957096\pi\) |
0.337469 | + | 0.941337i | \(0.390429\pi\) | |||||||
\(138\) | −1.49980 | − | 3.90712i | −0.127672 | − | 0.332596i | ||||
\(139\) | 15.1116 | + | 10.9792i | 1.28175 | + | 0.931246i | 0.999604 | − | 0.0281260i | \(-0.00895398\pi\) |
0.282145 | + | 0.959372i | \(0.408954\pi\) | |||||||
\(140\) | −4.75996 | + | 3.20832i | −0.402290 | + | 0.271153i | ||||
\(141\) | −16.5572 | + | 12.0295i | −1.39437 | + | 1.01307i | ||||
\(142\) | −5.94169 | − | 3.85858i | −0.498615 | − | 0.323804i | ||||
\(143\) | −3.54230 | + | 0.949157i | −0.296222 | + | 0.0793725i | ||||
\(144\) | −5.25807 | + | 4.73439i | −0.438172 | + | 0.394532i | ||||
\(145\) | −1.46338 | − | 17.4241i | −0.121527 | − | 1.44699i | ||||
\(146\) | 3.62289 | − | 1.17715i | 0.299833 | − | 0.0974216i | ||||
\(147\) | −10.2474 | + | 18.7642i | −0.845195 | + | 1.54764i | ||||
\(148\) | 0.982959 | − | 0.155685i | 0.0807987 | − | 0.0127973i | ||||
\(149\) | −4.34537 | + | 2.50880i | −0.355986 | + | 0.205529i | −0.667319 | − | 0.744772i | \(-0.732558\pi\) |
0.311332 | + | 0.950301i | \(0.399225\pi\) | |||||||
\(150\) | −11.0723 | − | 10.8422i | −0.904046 | − | 0.885260i | ||||
\(151\) | 1.39335 | − | 2.41336i | 0.113389 | − | 0.196396i | −0.803745 | − | 0.594973i | \(-0.797163\pi\) |
0.917135 | + | 0.398577i | \(0.130496\pi\) | |||||||
\(152\) | 4.40837 | + | 5.44388i | 0.357566 | + | 0.441557i | ||||
\(153\) | 14.3039 | − | 28.0729i | 1.15640 | − | 2.26956i | ||||
\(154\) | 6.44901 | + | 10.2487i | 0.519676 | + | 0.825867i | ||||
\(155\) | 0.296776 | + | 0.539817i | 0.0238376 | + | 0.0433591i | ||||
\(156\) | 2.35698 | − | 0.500991i | 0.188709 | − | 0.0401114i | ||||
\(157\) | 0.00357498 | + | 0.0133420i | 0.000285314 | + | 0.00106481i | 0.966068 | − | 0.258287i | \(-0.0831579\pi\) |
−0.965783 | + | 0.259351i | \(0.916491\pi\) | |||||||
\(158\) | 14.8042 | + | 0.775855i | 1.17776 | + | 0.0617237i | ||||
\(159\) | 1.84280 | + | 0.820468i | 0.146144 | + | 0.0650673i | ||||
\(160\) | −0.343862 | − | 10.9372i | −0.0271847 | − | 0.864665i | ||||
\(161\) | 3.53625 | − | 0.508330i | 0.278696 | − | 0.0400620i | ||||
\(162\) | 12.0932 | + | 1.91538i | 0.950133 | + | 0.150486i | ||||
\(163\) | 17.7840 | − | 6.82663i | 1.39295 | − | 0.534703i | 0.457831 | − | 0.889039i | \(-0.348626\pi\) |
0.935118 | + | 0.354336i | \(0.115293\pi\) | |||||||
\(164\) | 5.96716 | − | 2.65675i | 0.465957 | − | 0.207457i | ||||
\(165\) | 22.2321 | − | 21.3203i | 1.73076 | − | 1.65979i | ||||
\(166\) | 4.90300 | − | 11.0123i | 0.380546 | − | 0.854721i | ||||
\(167\) | −0.573295 | − | 1.12516i | −0.0443629 | − | 0.0870671i | 0.867761 | − | 0.496982i | \(-0.165558\pi\) |
−0.912124 | + | 0.409915i | \(0.865558\pi\) | |||||||
\(168\) | −11.8752 | − | 21.2655i | −0.916192 | − | 1.64067i | ||||
\(169\) | −11.7350 | − | 3.81292i | −0.902689 | − | 0.293302i | ||||
\(170\) | −4.37767 | − | 10.4137i | −0.335752 | − | 0.798692i | ||||
\(171\) | 3.05802 | − | 14.3868i | 0.233852 | − | 1.10019i | ||||
\(172\) | −4.78990 | − | 7.37581i | −0.365227 | − | 0.562400i | ||||
\(173\) | −13.0642 | + | 10.5792i | −0.993250 | + | 0.804318i | −0.980683 | − | 0.195603i | \(-0.937334\pi\) |
−0.0125670 | + | 0.999921i | \(0.504000\pi\) | |||||||
\(174\) | 24.2360 | 1.83733 | ||||||||
\(175\) | 11.1219 | − | 7.16257i | 0.840740 | − | 0.541439i | ||||
\(176\) | −5.04241 | −0.380086 | ||||||||
\(177\) | −17.6870 | + | 14.3227i | −1.32944 | + | 1.07656i | ||||
\(178\) | −3.02320 | − | 4.65533i | −0.226599 | − | 0.348931i | ||||
\(179\) | 4.51827 | − | 21.2568i | 0.337711 | − | 1.58881i | −0.401843 | − | 0.915708i | \(-0.631630\pi\) |
0.739554 | − | 0.673097i | \(-0.235036\pi\) | |||||||
\(180\) | −10.3940 | + | 8.97209i | −0.774722 | + | 0.668740i | ||||
\(181\) | 3.36109 | + | 1.09208i | 0.249828 | + | 0.0811739i | 0.431254 | − | 0.902231i | \(-0.358071\pi\) |
−0.181426 | + | 0.983405i | \(0.558071\pi\) | |||||||
\(182\) | 0.0312363 | − | 2.18277i | 0.00231539 | − | 0.161798i | ||||
\(183\) | −7.59619 | − | 14.9084i | −0.561526 | − | 1.10206i | ||||
\(184\) | −1.65541 | + | 3.71811i | −0.122039 | + | 0.274103i | ||||
\(185\) | −2.27230 | + | 0.311297i | −0.167063 | + | 0.0228870i | ||||
\(186\) | −0.780024 | + | 0.347289i | −0.0571941 | + | 0.0254645i | ||||
\(187\) | 20.9626 | − | 8.04678i | 1.53293 | − | 0.588439i | ||||
\(188\) | 6.42150 | + | 1.01707i | 0.468336 | + | 0.0741772i | ||||
\(189\) | −9.99790 | + | 24.9714i | −0.727241 | + | 1.81640i | ||||
\(190\) | −3.23218 | − | 4.16679i | −0.234487 | − | 0.302291i | ||||
\(191\) | −18.8499 | − | 8.39254i | −1.36393 | − | 0.607263i | −0.411333 | − | 0.911485i | \(-0.634937\pi\) |
−0.952601 | + | 0.304222i | \(0.901603\pi\) | |||||||
\(192\) | 21.9665 | + | 1.15121i | 1.58529 | + | 0.0830817i | ||||
\(193\) | 3.21068 | + | 11.9824i | 0.231110 | + | 0.862513i | 0.979864 | + | 0.199666i | \(0.0639856\pi\) |
−0.748754 | + | 0.662848i | \(0.769348\pi\) | |||||||
\(194\) | 1.25460 | − | 0.266674i | 0.0900754 | − | 0.0191461i | ||||
\(195\) | −5.45477 | + | 1.04063i | −0.390624 | + | 0.0745209i | ||||
\(196\) | 6.51695 | − | 1.91313i | 0.465496 | − | 0.136652i | ||||
\(197\) | 6.83647 | − | 13.4173i | 0.487078 | − | 0.955944i | −0.508415 | − | 0.861112i | \(-0.669768\pi\) |
0.995493 | − | 0.0948324i | \(-0.0302315\pi\) | |||||||
\(198\) | 18.2281 | + | 22.5098i | 1.29541 | + | 1.59970i | ||||
\(199\) | −10.1966 | + | 17.6610i | −0.722815 | + | 1.25195i | 0.237052 | + | 0.971497i | \(0.423819\pi\) |
−0.959867 | + | 0.280455i | \(0.909515\pi\) | |||||||
\(200\) | 0.158215 | + | 15.0696i | 0.0111875 | + | 1.06558i | ||||
\(201\) | −13.2214 | + | 7.63340i | −0.932568 | + | 0.538419i | ||||
\(202\) | −10.7646 | + | 1.70494i | −0.757392 | + | 0.119959i | ||||
\(203\) | −4.59062 | + | 20.1733i | −0.322199 | + | 1.41589i | ||||
\(204\) | −14.0316 | + | 4.55915i | −0.982411 | + | 0.319205i | ||||
\(205\) | −13.8768 | + | 5.83349i | −0.969199 | + | 0.407429i | ||||
\(206\) | −3.48277 | + | 3.13590i | −0.242656 | + | 0.218488i | ||||
\(207\) | 8.25451 | − | 2.21179i | 0.573728 | − | 0.153730i | ||||
\(208\) | 0.762388 | + | 0.495101i | 0.0528621 | + | 0.0343291i | ||||
\(209\) | 8.48017 | − | 6.16120i | 0.586585 | − | 0.426179i | ||||
\(210\) | 8.60281 | + | 16.1925i | 0.593650 | + | 1.11739i | ||||
\(211\) | −1.64640 | − | 1.19618i | −0.113343 | − | 0.0823483i | 0.529670 | − | 0.848204i | \(-0.322316\pi\) |
−0.643013 | + | 0.765855i | \(0.722316\pi\) | |||||||
\(212\) | −0.229649 | − | 0.598256i | −0.0157724 | − | 0.0410884i | ||||
\(213\) | 13.4196 | − | 16.5718i | 0.919497 | − | 1.13548i | ||||
\(214\) | −4.84792 | − | 10.8886i | −0.331397 | − | 0.744329i | ||||
\(215\) | 10.6804 | + | 17.2253i | 0.728401 | + | 1.17476i | ||||
\(216\) | −18.0117 | − | 24.7910i | −1.22554 | − | 1.68681i | ||||
\(217\) | −0.141326 | − | 0.715050i | −0.00959383 | − | 0.0485407i | ||||
\(218\) | −2.99273 | + | 2.99273i | −0.202693 | + | 0.202693i | ||||
\(219\) | 2.38385 | + | 11.2151i | 0.161085 | + | 0.757847i | ||||
\(220\) | −9.78328 | − | 0.204801i | −0.659589 | − | 0.0138076i | ||||
\(221\) | −3.95953 | − | 0.841624i | −0.266347 | − | 0.0566138i | ||||
\(222\) | −0.166375 | − | 3.17462i | −0.0111664 | − | 0.213067i | ||||
\(223\) | −1.43465 | − | 9.05803i | −0.0960713 | − | 0.606571i | −0.988007 | − | 0.154408i | \(-0.950653\pi\) |
0.891936 | − | 0.452162i | \(-0.149347\pi\) | |||||||
\(224\) | −3.52967 | + | 12.4571i | −0.235836 | + | 0.832326i | ||||
\(225\) | 24.3811 | − | 20.1709i | 1.62540 | − | 1.34472i | ||||
\(226\) | 2.41899 | + | 4.18981i | 0.160909 | + | 0.278702i | ||||
\(227\) | 4.80749 | − | 12.5239i | 0.319085 | − | 0.831244i | −0.676419 | − | 0.736517i | \(-0.736469\pi\) |
0.995503 | − | 0.0947265i | \(-0.0301977\pi\) | |||||||
\(228\) | −5.77627 | + | 3.75115i | −0.382543 | + | 0.248426i | ||||
\(229\) | −6.71651 | + | 7.45944i | −0.443839 | + | 0.492934i | −0.923003 | − | 0.384792i | \(-0.874273\pi\) |
0.479164 | + | 0.877725i | \(0.340940\pi\) | |||||||
\(230\) | 1.30452 | − | 2.77235i | 0.0860178 | − | 0.182803i | ||||
\(231\) | −32.7075 | + | 16.0800i | −2.15200 | + | 1.05799i | ||||
\(232\) | −16.6661 | − | 16.6661i | −1.09418 | − | 1.09418i | ||||
\(233\) | −10.7187 | + | 16.5054i | −0.702208 | + | 1.08131i | 0.290038 | + | 0.957015i | \(0.406332\pi\) |
−0.992246 | + | 0.124290i | \(0.960335\pi\) | |||||||
\(234\) | −0.545821 | − | 5.19314i | −0.0356814 | − | 0.339486i | ||||
\(235\) | −14.7464 | − | 2.65310i | −0.961952 | − | 0.173069i | ||||
\(236\) | 7.19042 | + | 0.755744i | 0.468057 | + | 0.0491947i | ||||
\(237\) | −6.98012 | + | 44.0708i | −0.453408 | + | 2.86270i | ||||
\(238\) | 1.20679 | + | 13.3115i | 0.0782243 | + | 0.862855i | ||||
\(239\) | 9.32683 | − | 12.8373i | 0.603303 | − | 0.830375i | −0.392703 | − | 0.919665i | \(-0.628460\pi\) |
0.996006 | + | 0.0892904i | \(0.0284599\pi\) | |||||||
\(240\) | −7.61497 | − | 0.559107i | −0.491544 | − | 0.0360902i | ||||
\(241\) | 7.63895 | − | 0.802886i | 0.492068 | − | 0.0517184i | 0.144755 | − | 0.989468i | \(-0.453761\pi\) |
0.347313 | + | 0.937749i | \(0.387094\pi\) | |||||||
\(242\) | −0.496138 | + | 9.46688i | −0.0318930 | + | 0.608554i | ||||
\(243\) | −1.64425 | + | 6.13641i | −0.105478 | + | 0.393651i | ||||
\(244\) | −1.64255 | + | 5.05525i | −0.105153 | + | 0.323629i | ||||
\(245\) | −15.1077 | + | 4.09363i | −0.965195 | + | 0.261533i | ||||
\(246\) | −6.44751 | − | 19.8434i | −0.411078 | − | 1.26517i | ||||
\(247\) | −1.88711 | + | 0.0988993i | −0.120074 | + | 0.00629281i | ||||
\(248\) | 0.775206 | + | 0.297574i | 0.0492256 | + | 0.0188959i | ||||
\(249\) | 31.4216 | + | 18.1413i | 1.99127 | + | 1.14966i | ||||
\(250\) | 0.118353 | − | 11.3446i | 0.00748532 | − | 0.717498i | ||||
\(251\) | − | 11.7052i | − | 0.738825i | −0.929265 | − | 0.369413i | \(-0.879559\pi\) | ||
0.929265 | − | 0.369413i | \(-0.120441\pi\) | |||||||
\(252\) | 14.9349 | − | 6.39497i | 0.940809 | − | 0.402845i | ||||
\(253\) | 5.42643 | + | 2.76490i | 0.341157 | + | 0.173828i | ||||
\(254\) | −9.30114 | − | 8.37478i | −0.583605 | − | 0.525480i | ||||
\(255\) | 32.5496 | − | 9.82776i | 2.03833 | − | 0.615438i | ||||
\(256\) | −11.3214 | − | 12.5737i | −0.707590 | − | 0.785858i | ||||
\(257\) | −19.2569 | − | 5.15987i | −1.20121 | − | 0.321864i | −0.397903 | − | 0.917427i | \(-0.630262\pi\) |
−0.803308 | + | 0.595564i | \(0.796929\pi\) | |||||||
\(258\) | −25.0306 | + | 12.7537i | −1.55834 | + | 0.794012i | ||||
\(259\) | 2.67398 | + | 0.462831i | 0.166153 | + | 0.0287589i | ||||
\(260\) | 1.45908 | + | 0.991558i | 0.0904880 | + | 0.0614938i | ||||
\(261\) | −5.17295 | + | 49.2173i | −0.320197 | + | 3.04647i | ||||
\(262\) | 4.90439 | + | 3.97150i | 0.302994 | + | 0.245360i | ||||
\(263\) | −7.43654 | − | 6.02199i | −0.458557 | − | 0.371332i | 0.372030 | − | 0.928221i | \(-0.378662\pi\) |
−0.830587 | + | 0.556889i | \(0.811995\pi\) | |||||||
\(264\) | 4.34009 | − | 41.2932i | 0.267114 | − | 2.54142i | ||||
\(265\) | 0.500269 | + | 1.38949i | 0.0307313 | + | 0.0853558i | ||||
\(266\) | 2.15250 | + | 5.85658i | 0.131978 | + | 0.359090i | ||||
\(267\) | 14.8864 | − | 7.58500i | 0.911033 | − | 0.464194i | ||||
\(268\) | 4.68467 | + | 1.25525i | 0.286162 | + | 0.0766768i | ||||
\(269\) | −17.0588 | − | 18.9457i | −1.04009 | − | 1.15514i | −0.987676 | − | 0.156513i | \(-0.949975\pi\) |
−0.0524154 | − | 0.998625i | \(-0.516692\pi\) | |||||||
\(270\) | 13.1659 | + | 18.9427i | 0.801251 | + | 1.15282i | ||||
\(271\) | −5.85389 | − | 5.27086i | −0.355598 | − | 0.320182i | 0.471898 | − | 0.881653i | \(-0.343569\pi\) |
−0.827496 | + | 0.561471i | \(0.810236\pi\) | |||||||
\(272\) | −4.95926 | − | 2.52687i | −0.300699 | − | 0.153214i | ||||
\(273\) | 6.52407 | + | 0.780243i | 0.394855 | + | 0.0472225i | ||||
\(274\) | − | 12.3330i | − | 0.745063i | ||||||
\(275\) | 22.5313 | + | 0.943743i | 1.35869 | + | 0.0569099i | ||||
\(276\) | −3.46555 | − | 2.00084i | −0.208602 | − | 0.120436i | ||||
\(277\) | 18.0276 | + | 6.92015i | 1.08317 | + | 0.415791i | 0.833489 | − | 0.552536i | \(-0.186340\pi\) |
0.249684 | + | 0.968327i | \(0.419673\pi\) | |||||||
\(278\) | −18.9285 | + | 0.992002i | −1.13526 | + | 0.0594964i | ||||
\(279\) | −0.538769 | − | 1.65816i | −0.0322553 | − | 0.0992715i | ||||
\(280\) | 5.21915 | − | 17.0507i | 0.311904 | − | 1.01898i | ||||
\(281\) | −7.09796 | + | 21.8453i | −0.423429 | + | 1.30318i | 0.481062 | + | 0.876686i | \(0.340251\pi\) |
−0.904491 | + | 0.426493i | \(0.859749\pi\) | |||||||
\(282\) | 5.37508 | − | 20.0601i | 0.320082 | − | 1.19456i | ||||
\(283\) | −0.0587625 | + | 1.12126i | −0.00349307 | + | 0.0666518i | −0.999820 | − | 0.0189809i | \(-0.993958\pi\) |
0.996327 | + | 0.0856327i | \(0.0272912\pi\) | |||||||
\(284\) | −6.73705 | + | 0.708093i | −0.399771 | + | 0.0420176i | ||||
\(285\) | 13.4898 | − | 8.36426i | 0.799065 | − | 0.495456i | ||||
\(286\) | 2.18736 | − | 3.01064i | 0.129341 | − | 0.178023i | ||||
\(287\) | 17.7383 | − | 1.60811i | 1.04706 | − | 0.0949238i | ||||
\(288\) | −4.84487 | + | 30.5893i | −0.285486 | + | 1.80249i | ||||
\(289\) | 7.74243 | + | 0.813763i | 0.455437 | + | 0.0478684i | ||||
\(290\) | 12.2811 | + | 12.8063i | 0.721173 | + | 0.752012i | ||||
\(291\) | 0.403541 | + | 3.83943i | 0.0236560 | + | 0.225071i | ||||
\(292\) | 1.98379 | − | 3.05477i | 0.116092 | − | 0.178767i | ||||
\(293\) | −15.7247 | − | 15.7247i | −0.918649 | − | 0.918649i | 0.0782822 | − | 0.996931i | \(-0.475056\pi\) |
−0.996931 | + | 0.0782822i | \(0.975056\pi\) | |||||||
\(294\) | −3.90163 | − | 21.3417i | −0.227548 | − | 1.24467i | ||||
\(295\) | −16.5307 | − | 2.08809i | −0.962453 | − | 0.121573i | ||||
\(296\) | −2.06865 | + | 2.29746i | −0.120238 | + | 0.133537i | ||||
\(297\) | −38.4564 | + | 24.9739i | −2.23146 | + | 1.44913i | ||||
\(298\) | 1.82467 | − | 4.75343i | 0.105700 | − | 0.275359i | ||||
\(299\) | −0.548971 | − | 0.950846i | −0.0317478 | − | 0.0549888i | ||||
\(300\) | −14.7518 | − | 1.39406i | −0.851698 | − | 0.0804863i | ||||
\(301\) | −5.87469 | − | 23.2505i | −0.338612 | − | 1.34013i | ||||
\(302\) | 0.442367 | + | 2.79300i | 0.0254554 | + | 0.160719i | ||||
\(303\) | −1.71683 | − | 32.7590i | −0.0986292 | − | 1.88196i | ||||
\(304\) | −2.54153 | − | 0.540218i | −0.145766 | − | 0.0309836i | ||||
\(305\) | 4.02835 | − | 11.5683i | 0.230663 | − | 0.662402i | ||||
\(306\) | 6.64730 | + | 31.2731i | 0.380001 | + | 1.78776i | ||||
\(307\) | 18.7396 | − | 18.7396i | 1.06953 | − | 1.06953i | 0.0721329 | − | 0.997395i | \(-0.477019\pi\) |
0.997395 | − | 0.0721329i | \(-0.0229806\pi\) | |||||||
\(308\) | 10.9593 | + | 3.73508i | 0.624462 | + | 0.212826i | ||||
\(309\) | −8.29124 | − | 11.4119i | −0.471672 | − | 0.649201i | ||||
\(310\) | −0.578769 | − | 0.236182i | −0.0328719 | − | 0.0134143i | ||||
\(311\) | −5.84403 | − | 13.1259i | −0.331384 | − | 0.744301i | −1.00000 | 0.000693032i | \(-0.999779\pi\) | |
0.668615 | − | 0.743608i | \(-0.266887\pi\) | |||||||
\(312\) | −4.71067 | + | 5.81719i | −0.266689 | + | 0.329334i | ||||
\(313\) | −0.981529 | − | 2.55697i | −0.0554793 | − | 0.144529i | 0.903040 | − | 0.429557i | \(-0.141330\pi\) |
−0.958519 | + | 0.285028i | \(0.907997\pi\) | |||||||
\(314\) | −0.0113395 | − | 0.00823864i | −0.000639926 | − | 0.000464934i | ||||
\(315\) | −34.7192 | + | 14.0140i | −1.95621 | + | 0.789600i | ||||
\(316\) | 11.4677 | − | 8.33176i | 0.645107 | − | 0.468698i | ||||
\(317\) | −11.9334 | − | 7.74963i | −0.670246 | − | 0.435263i | 0.164145 | − | 0.986436i | \(-0.447514\pi\) |
−0.834391 | + | 0.551174i | \(0.814180\pi\) | |||||||
\(318\) | −1.97720 | + | 0.529790i | −0.110876 | + | 0.0297092i | ||||
\(319\) | −26.2097 | + | 23.5994i | −1.46746 | + | 1.32131i | ||||
\(320\) | 10.5228 | + | 12.1904i | 0.588242 | + | 0.681466i | ||||
\(321\) | 34.1192 | − | 11.0860i | 1.90435 | − | 0.618759i | ||||
\(322\) | −2.46410 | + | 2.65914i | −0.137319 | + | 0.148188i | ||||
\(323\) | 11.4278 | − | 1.80999i | 0.635862 | − | 0.100711i | ||||
\(324\) | 10.1389 | − | 5.85369i | 0.563271 | − | 0.325205i | ||||
\(325\) | −3.31397 | − | 2.35498i | −0.183826 | − | 0.130631i | ||||
\(326\) | −9.66511 | + | 16.7405i | −0.535301 | + | 0.927169i | ||||
\(327\) | −8.01686 | − | 9.90000i | −0.443333 | − | 0.547471i | ||||
\(328\) | −9.21180 | + | 18.0792i | −0.508636 | + | 0.998255i | ||||
\(329\) | 15.6793 | + | 8.27371i | 0.864428 | + | 0.456144i | ||||
\(330\) | −3.91717 | + | 31.0109i | −0.215633 | + | 1.70709i | ||||
\(331\) | −6.28020 | + | 1.33490i | −0.345191 | + | 0.0733726i | −0.377245 | − | 0.926114i | \(-0.623129\pi\) |
0.0320539 | + | 0.999486i | \(0.489795\pi\) | |||||||
\(332\) | −2.98320 | − | 11.1334i | −0.163724 | − | 0.611027i | ||||
\(333\) | 6.48238 | + | 0.339727i | 0.355232 | + | 0.0186169i | ||||
\(334\) | 1.17063 | + | 0.521200i | 0.0640543 | + | 0.0285188i | ||||
\(335\) | −10.7332 | − | 3.11813i | −0.586417 | − | 0.170362i | ||||
\(336\) | 8.38715 | + | 3.35800i | 0.457557 | + | 0.183194i | ||||
\(337\) | 18.3421 | + | 2.90510i | 0.999157 | + | 0.158251i | 0.634526 | − | 0.772901i | \(-0.281195\pi\) |
0.364630 | + | 0.931152i | \(0.381195\pi\) | |||||||
\(338\) | 11.6893 | − | 4.48708i | 0.635811 | − | 0.244065i | ||||
\(339\) | −13.3028 | + | 5.92280i | −0.722510 | + | 0.321682i | ||||
\(340\) | −9.51932 | − | 5.10405i | −0.516257 | − | 0.276806i | ||||
\(341\) | 0.505381 | − | 1.13510i | 0.0273679 | − | 0.0614694i | ||||
\(342\) | 6.77591 | + | 13.2985i | 0.366399 | + | 0.719099i | ||||
\(343\) | 18.5032 | + | 0.794797i | 0.999079 | + | 0.0429150i | ||||
\(344\) | 25.9827 | + | 8.44229i | 1.40089 | + | 0.455178i | ||||
\(345\) | 7.88832 | + | 4.77720i | 0.424693 | + | 0.257196i | ||||
\(346\) | 3.54664 | − | 16.6856i | 0.190669 | − | 0.897026i | ||||
\(347\) | 19.5546 | + | 30.1115i | 1.04975 | + | 1.61647i | 0.748761 | + | 0.662840i | \(0.230649\pi\) |
0.300986 | + | 0.953628i | \(0.402684\pi\) | |||||||
\(348\) | 18.0095 | − | 14.5838i | 0.965409 | − | 0.781773i | ||||
\(349\) | −22.3415 | −1.19591 | −0.597957 | − | 0.801528i | \(-0.704021\pi\) | ||||
−0.597957 | + | 0.801528i | \(0.704021\pi\) | |||||||
\(350\) | −4.19684 | + | 12.7510i | −0.224330 | + | 0.681569i | ||||
\(351\) | 8.26653 | 0.441235 | ||||||||
\(352\) | −17.1529 | + | 13.8901i | −0.914253 | + | 0.740347i | ||||
\(353\) | 3.82551 | + | 5.89076i | 0.203611 | + | 0.313534i | 0.925694 | − | 0.378273i | \(-0.123482\pi\) |
−0.722083 | + | 0.691806i | \(0.756815\pi\) | |||||||
\(354\) | 4.80166 | − | 22.5900i | 0.255205 | − | 1.20065i | ||||
\(355\) | 15.5567 | − | 1.30654i | 0.825664 | − | 0.0693440i | ||||
\(356\) | −5.04780 | − | 1.64013i | −0.267533 | − | 0.0869268i | ||||
\(357\) | −40.2262 | − | 0.575653i | −2.12900 | − | 0.0304668i | ||||
\(358\) | 10.0115 | + | 19.6487i | 0.529124 | + | 1.03846i | ||||
\(359\) | −5.71541 | + | 12.8370i | −0.301648 | + | 0.677512i | −0.999240 | − | 0.0389831i | \(-0.987588\pi\) |
0.697592 | + | 0.716495i | \(0.254255\pi\) | |||||||
\(360\) | 7.55271 | − | 41.9794i | 0.398063 | − | 2.21251i | ||||
\(361\) | −12.4230 | + | 5.53109i | −0.653844 | + | 0.291110i | ||||
\(362\) | −3.34799 | + | 1.28517i | −0.175967 | + | 0.0675473i | ||||
\(363\) | −28.1821 | − | 4.46360i | −1.47917 | − | 0.234278i | ||||
\(364\) | −1.29025 | − | 1.64079i | −0.0676275 | − | 0.0860006i | ||||
\(365\) | −4.71810 | + | 6.94267i | −0.246956 | + | 0.363396i | ||||
\(366\) | 15.5110 | + | 6.90592i | 0.810771 | + | 0.360978i | ||||
\(367\) | 28.4233 | + | 1.48960i | 1.48369 | + | 0.0777567i | 0.776879 | − | 0.629650i | \(-0.216802\pi\) |
0.706807 | + | 0.707407i | \(0.250135\pi\) | |||||||
\(368\) | −0.390726 | − | 1.45821i | −0.0203680 | − | 0.0760145i | ||||
\(369\) | 41.6732 | − | 8.85791i | 2.16942 | − | 0.461125i | ||||
\(370\) | 1.59316 | − | 1.69659i | 0.0828246 | − | 0.0882016i | ||||
\(371\) | −0.0664726 | − | 1.74612i | −0.00345109 | − | 0.0906538i | ||||
\(372\) | −0.370648 | + | 0.727438i | −0.0192172 | + | 0.0377159i | ||||
\(373\) | −4.45097 | − | 5.49649i | −0.230462 | − | 0.284597i | 0.648776 | − | 0.760979i | \(-0.275281\pi\) |
−0.879238 | + | 0.476382i | \(0.841948\pi\) | |||||||
\(374\) | −11.3926 | + | 19.7325i | −0.589097 | + | 1.02035i | ||||
\(375\) | 33.9218 | + | 3.92352i | 1.75171 | + | 0.202610i | ||||
\(376\) | −17.4907 | + | 10.0983i | −0.902014 | + | 0.520778i | ||||
\(377\) | 6.27994 | − | 0.994645i | 0.323433 | − | 0.0512268i | ||||
\(378\) | −8.06240 | − | 26.0774i | −0.414685 | − | 1.34128i | ||||
\(379\) | −15.7858 | + | 5.12911i | −0.810860 | + | 0.263465i | −0.684962 | − | 0.728579i | \(-0.740181\pi\) |
−0.125898 | + | 0.992043i | \(0.540181\pi\) | |||||||
\(380\) | −4.90912 | − | 1.15136i | −0.251833 | − | 0.0590633i | ||||
\(381\) | 27.9954 | − | 25.2071i | 1.43425 | − | 1.29140i | ||||
\(382\) | 20.2248 | − | 5.41921i | 1.03479 | − | 0.277271i | ||||
\(383\) | −12.7392 | − | 8.27296i | −0.650945 | − | 0.422729i | 0.176481 | − | 0.984304i | \(-0.443529\pi\) |
−0.827425 | + | 0.561576i | \(0.810195\pi\) | |||||||
\(384\) | 6.12623 | − | 4.45096i | 0.312628 | − | 0.227137i | ||||
\(385\) | −25.0706 | − | 9.13442i | −1.27772 | − | 0.465533i | ||||
\(386\) | −10.1840 | − | 7.39910i | −0.518351 | − | 0.376604i | ||||
\(387\) | −20.5571 | − | 53.5531i | −1.04498 | − | 2.72226i | ||||
\(388\) | 0.771812 | − | 0.953109i | 0.0391828 | − | 0.0483868i | ||||
\(389\) | 8.48404 | + | 19.0555i | 0.430158 | + | 0.966150i | 0.990452 | + | 0.137857i | \(0.0440213\pi\) |
−0.560294 | + | 0.828293i | \(0.689312\pi\) | |||||||
\(390\) | 3.63713 | − | 4.30408i | 0.184173 | − | 0.217946i | ||||
\(391\) | 3.95139 | + | 5.43862i | 0.199830 | + | 0.275043i | ||||
\(392\) | −11.9928 | + | 17.3588i | −0.605727 | + | 0.876750i | ||||
\(393\) | −13.4313 | + | 13.4313i | −0.677519 | + | 0.677519i | ||||
\(394\) | 3.17705 | + | 14.9468i | 0.160057 | + | 0.753010i | ||||
\(395\) | −26.8240 | + | 18.6437i | −1.34966 | + | 0.938067i | ||||
\(396\) | 27.0901 | + | 5.75818i | 1.36133 | + | 0.289360i | ||||
\(397\) | −0.109324 | − | 2.08602i | −0.00548681 | − | 0.104695i | −1.00000 | 8.32692e-5i | \(-0.999973\pi\) | |
0.994513 | − | 0.104611i | \(-0.0333598\pi\) | |||||||
\(398\) | −3.23725 | − | 20.4392i | −0.162268 | − | 1.02452i | ||||
\(399\) | −18.2083 | + | 4.60069i | −0.911555 | + | 0.230323i | ||||
\(400\) | −3.56331 | − | 4.30706i | −0.178165 | − | 0.215353i | ||||
\(401\) | 0.814826 | + | 1.41132i | 0.0406905 | + | 0.0704780i | 0.885653 | − | 0.464347i | \(-0.153711\pi\) |
−0.844963 | + | 0.534825i | \(0.820378\pi\) | |||||||
\(402\) | 5.55184 | − | 14.4630i | 0.276901 | − | 0.721351i | ||||
\(403\) | −0.187864 | + | 0.122000i | −0.00935818 | + | 0.00607727i | ||||
\(404\) | −6.97308 | + | 7.74439i | −0.346924 | + | 0.385298i | ||||
\(405\) | −23.6429 | + | 12.9982i | −1.17482 | + | 0.645885i | ||||
\(406\) | −9.26255 | − | 18.8405i | −0.459693 | − | 0.935037i | ||||
\(407\) | 3.27115 | + | 3.27115i | 0.162145 | + | 0.162145i | ||||
\(408\) | 24.9615 | − | 38.4373i | 1.23578 | − | 1.90293i | ||||
\(409\) | −1.52161 | − | 14.4771i | −0.0752386 | − | 0.715848i | −0.965501 | − | 0.260399i | \(-0.916146\pi\) |
0.890262 | − | 0.455448i | \(-0.150521\pi\) | |||||||
\(410\) | 7.21810 | − | 13.4621i | 0.356477 | − | 0.664847i | ||||
\(411\) | 36.9175 | + | 3.88019i | 1.82101 | + | 0.191395i | ||||
\(412\) | −0.701004 | + | 4.42597i | −0.0345360 | + | 0.218052i | ||||
\(413\) | 17.8938 | + | 8.27561i | 0.880495 | + | 0.407216i | ||||
\(414\) | −5.09713 | + | 7.01560i | −0.250510 | + | 0.344798i | ||||
\(415\) | 6.33646 | + | 25.7959i | 0.311044 | + | 1.26627i | ||||
\(416\) | 3.95727 | − | 0.415926i | 0.194021 | − | 0.0203924i | ||||
\(417\) | 2.98581 | − | 56.9727i | 0.146216 | − | 2.78997i | ||||
\(418\) | −2.75298 | + | 10.2743i | −0.134653 | + | 0.502530i | ||||
\(419\) | −1.28789 | + | 3.96371i | −0.0629175 | + | 0.193640i | −0.977574 | − | 0.210591i | \(-0.932461\pi\) |
0.914657 | + | 0.404232i | \(0.132461\pi\) | |||||||
\(420\) | 16.1363 | + | 6.85583i | 0.787373 | + | 0.334530i | ||||
\(421\) | −3.76895 | − | 11.5996i | −0.183687 | − | 0.565331i | 0.816236 | − | 0.577719i | \(-0.196057\pi\) |
−0.999923 | + | 0.0123874i | \(0.996057\pi\) | |||||||
\(422\) | 2.06225 | − | 0.108078i | 0.100389 | − | 0.00526115i | ||||
\(423\) | 39.5898 | + | 15.1971i | 1.92492 | + | 0.738908i | ||||
\(424\) | 1.72396 | + | 0.995327i | 0.0837227 | + | 0.0483373i | ||||
\(425\) | 21.6868 | + | 12.2192i | 1.05197 | + | 0.592716i | ||||
\(426\) | 21.6385i | 1.04839i | ||||||||
\(427\) | −8.68627 | + | 11.6028i | −0.420358 | + | 0.561498i | ||||
\(428\) | −10.1545 | − | 5.17400i | −0.490838 | − | 0.250095i | ||||
\(429\) | 8.32386 | + | 7.49484i | 0.401880 | + | 0.361854i | ||||
\(430\) | −19.4228 | − | 6.76346i | −0.936653 | − | 0.326163i | ||||
\(431\) | 20.4242 | + | 22.6834i | 0.983799 | + | 1.09262i | 0.995695 | + | 0.0926900i | \(0.0295465\pi\) |
−0.0118963 | + | 0.999929i | \(0.503787\pi\) | |||||||
\(432\) | 10.9790 | + | 2.94182i | 0.528229 | + | 0.141538i | ||||
\(433\) | −2.51927 | + | 1.28363i | −0.121069 | + | 0.0616875i | −0.513476 | − | 0.858104i | \(-0.671642\pi\) |
0.392407 | + | 0.919792i | \(0.371642\pi\) | |||||||
\(434\) | 0.568085 | + | 0.473644i | 0.0272689 | + | 0.0227356i | ||||
\(435\) | −42.1982 | + | 32.7332i | −2.02325 | + | 1.56944i | ||||
\(436\) | −0.423014 | + | 4.02471i | −0.0202587 | + | 0.192748i | ||||
\(437\) | 2.43886 | + | 1.97495i | 0.116667 | + | 0.0944748i | ||||
\(438\) | −9.04194 | − | 7.32202i | −0.432040 | − | 0.349859i | ||||
\(439\) | −1.15828 | + | 11.0203i | −0.0552819 | + | 0.525972i | 0.931480 | + | 0.363794i | \(0.118519\pi\) |
−0.986761 | + | 0.162178i | \(0.948148\pi\) | |||||||
\(440\) | 24.0186 | − | 18.6312i | 1.14504 | − | 0.888209i | ||||
\(441\) | 44.1724 | − | 3.36807i | 2.10345 | − | 0.160384i | ||||
\(442\) | 3.65999 | − | 1.86486i | 0.174088 | − | 0.0887022i | ||||
\(443\) | 6.21730 | + | 1.66592i | 0.295393 | + | 0.0791502i | 0.403472 | − | 0.914992i | \(-0.367803\pi\) |
−0.108079 | + | 0.994142i | \(0.534470\pi\) | |||||||
\(444\) | −2.03393 | − | 2.25891i | −0.0965260 | − | 0.107203i | ||||
\(445\) | 11.5513 | + | 4.02242i | 0.547585 | + | 0.190681i | ||||
\(446\) | 6.91587 | + | 6.22708i | 0.327476 | + | 0.294861i | ||||
\(447\) | 13.6548 | + | 6.95749i | 0.645852 | + | 0.329078i | ||||
\(448\) | −7.50025 | − | 17.5162i | −0.354354 | − | 0.827561i | ||||
\(449\) | − | 15.2038i | − | 0.717511i | −0.933432 | − | 0.358755i | \(-0.883201\pi\) | ||
0.933432 | − | 0.358755i | \(-0.116799\pi\) | |||||||
\(450\) | −6.34596 | + | 31.4768i | −0.299151 | + | 1.48383i | ||||
\(451\) | 26.2947 | + | 15.1813i | 1.23817 | + | 0.714858i | ||||
\(452\) | 4.31870 | + | 1.65779i | 0.203134 | + | 0.0779760i | ||||
\(453\) | −8.49972 | + | 0.445452i | −0.399352 | + | 0.0209291i | ||||
\(454\) | 4.20660 | + | 12.9466i | 0.197426 | + | 0.607614i | ||||
\(455\) | 2.89367 | + | 3.84269i | 0.135657 | + | 0.180148i | ||||
\(456\) | 6.61147 | − | 20.3480i | 0.309611 | − | 0.952883i | ||||
\(457\) | 7.54650 | − | 28.1639i | 0.353010 | − | 1.31745i | −0.529959 | − | 0.848023i | \(-0.677793\pi\) |
0.882970 | − | 0.469430i | \(-0.155541\pi\) | |||||||
\(458\) | 0.533080 | − | 10.1718i | 0.0249092 | − | 0.475296i | ||||
\(459\) | −50.3372 | + | 5.29065i | −2.34954 | + | 0.246946i | ||||
\(460\) | −0.698860 | − | 2.84509i | −0.0325845 | − | 0.132653i | ||||
\(461\) | −3.10939 | + | 4.27971i | −0.144819 | + | 0.199326i | −0.875264 | − | 0.483645i | \(-0.839312\pi\) |
0.730445 | + | 0.682971i | \(0.239312\pi\) | |||||||
\(462\) | 15.5247 | − | 33.5680i | 0.722276 | − | 1.56173i | ||||
\(463\) | −2.99734 | + | 18.9245i | −0.139298 | + | 0.879495i | 0.814744 | + | 0.579821i | \(0.196878\pi\) |
−0.954042 | + | 0.299673i | \(0.903122\pi\) | |||||||
\(464\) | 8.69454 | + | 0.913833i | 0.403634 | + | 0.0424236i | ||||
\(465\) | 0.889080 | − | 1.65818i | 0.0412301 | − | 0.0768962i | ||||
\(466\) | −2.08751 | − | 19.8614i | −0.0967022 | − | 0.920060i | ||||
\(467\) | −12.1016 | + | 18.6349i | −0.559997 | + | 0.862320i | −0.999352 | − | 0.0359936i | \(-0.988540\pi\) |
0.439355 | + | 0.898314i | \(0.355207\pi\) | |||||||
\(468\) | −3.53051 | − | 3.53051i | −0.163198 | − | 0.163198i | ||||
\(469\) | 10.9870 | + | 7.36068i | 0.507333 | + | 0.339885i | ||||
\(470\) | 13.3235 | − | 7.32487i | 0.614566 | − | 0.337871i | ||||
\(471\) | 0.0282292 | − | 0.0313517i | 0.00130073 | − | 0.00144461i | ||||
\(472\) | −18.8361 | + | 12.2323i | −0.867003 | + | 0.563038i | ||||
\(473\) | 14.6503 | − | 38.1654i | 0.673623 | − | 1.75485i | ||||
\(474\) | −22.6392 | − | 39.2122i | −1.03985 | − | 1.80107i | ||||
\(475\) | 11.2554 | + | 2.88956i | 0.516431 | + | 0.132582i | ||||
\(476\) | 8.90680 | + | 9.16542i | 0.408243 | + | 0.420097i | ||||
\(477\) | −0.653857 | − | 4.12829i | −0.0299381 | − | 0.189022i | ||||
\(478\) | 0.842705 | + | 16.0798i | 0.0385444 | + | 0.735471i | ||||
\(479\) | −16.9271 | − | 3.59797i | −0.773420 | − | 0.164396i | −0.195737 | − | 0.980656i | \(-0.562710\pi\) |
−0.577684 | + | 0.816261i | \(0.696043\pi\) | |||||||
\(480\) | −27.4442 | + | 19.0747i | −1.25265 | + | 0.870639i | ||||
\(481\) | −0.173397 | − | 0.815768i | −0.00790622 | − | 0.0371958i | ||||
\(482\) | −5.51142 | + | 5.51142i | −0.251038 | + | 0.251038i | ||||
\(483\) | −7.18460 | − | 8.21265i | −0.326911 | − | 0.373689i | ||||
\(484\) | 5.32793 | + | 7.33327i | 0.242179 | + | 0.333330i | ||||
\(485\) | −1.82427 | + | 2.15879i | −0.0828358 | + | 0.0980256i | ||||
\(486\) | −2.62207 | − | 5.88926i | −0.118939 | − | 0.267142i | ||||
\(487\) | −20.1207 | + | 24.8470i | −0.911756 | + | 1.12592i | 0.0798734 | + | 0.996805i | \(0.474548\pi\) |
−0.991629 | + | 0.129119i | \(0.958785\pi\) | |||||||
\(488\) | −5.91732 | − | 15.4152i | −0.267865 | − | 0.697811i | ||||
\(489\) | −47.0701 | − | 34.1984i | −2.12858 | − | 1.54650i | ||||
\(490\) | 9.29986 | − | 12.8761i | 0.420125 | − | 0.581683i | ||||
\(491\) | 8.45375 | − | 6.14201i | 0.381513 | − | 0.277185i | −0.380456 | − | 0.924799i | \(-0.624233\pi\) |
0.761969 | + | 0.647614i | \(0.224233\pi\) | |||||||
\(492\) | −16.7316 | − | 10.8657i | −0.754321 | − | 0.489862i | ||||
\(493\) | −37.6037 | + | 10.0759i | −1.69359 | + | 0.453795i | ||||
\(494\) | 1.42504 | − | 1.28311i | 0.0641155 | − | 0.0577298i | ||||
\(495\) | −62.1394 | − | 14.5738i | −2.79296 | − | 0.655043i | ||||
\(496\) | −0.292924 | + | 0.0951769i | −0.0131527 | + | 0.00427357i | ||||
\(497\) | −18.0113 | − | 4.09863i | −0.807916 | − | 0.183849i | ||||
\(498\) | −36.3645 | + | 5.75957i | −1.62953 | + | 0.258093i | ||||
\(499\) | 24.2032 | − | 13.9737i | 1.08348 | − | 0.625550i | 0.151650 | − | 0.988434i | \(-0.451541\pi\) |
0.931834 | + | 0.362884i | \(0.118208\pi\) | |||||||
\(500\) | −6.73859 | − | 8.50128i | −0.301359 | − | 0.380189i | ||||
\(501\) | −1.92846 | + | 3.34020i | −0.0861574 | + | 0.149229i | ||||
\(502\) | 7.47498 | + | 9.23083i | 0.333625 | + | 0.411992i | ||||
\(503\) | 6.69142 | − | 13.1327i | 0.298356 | − | 0.585556i | −0.692353 | − | 0.721559i | \(-0.743426\pi\) |
0.990708 | + | 0.136003i | \(0.0434257\pi\) | |||||||
\(504\) | −23.5532 | + | 44.6351i | −1.04914 | + | 1.98820i | ||||
\(505\) | 16.4399 | − | 17.5072i | 0.731566 | − | 0.779059i | ||||
\(506\) | −6.04501 | + | 1.28491i | −0.268734 | + | 0.0571211i | ||||
\(507\) | 9.75397 | + | 36.4023i | 0.433189 | + | 1.61668i | ||||
\(508\) | −11.9510 | − | 0.626325i | −0.530240 | − | 0.0277887i | ||||
\(509\) | −3.98854 | − | 1.77581i | −0.176789 | − | 0.0787115i | 0.316434 | − | 0.948615i | \(-0.397515\pi\) |
−0.493223 | + | 0.869903i | \(0.664181\pi\) | |||||||
\(510\) | −19.3929 | + | 28.5365i | −0.858730 | + | 1.26362i | ||||
\(511\) | 7.80729 | − | 6.13935i | 0.345374 | − | 0.271589i | ||||
\(512\) | 12.0603 | + | 1.91017i | 0.532996 | + | 0.0844182i | ||||
\(513\) | −22.0587 | + | 8.46755i | −0.973916 | + | 0.373851i | ||||
\(514\) | 18.4813 | − | 8.22839i | 0.815174 | − | 0.362939i | ||||
\(515\) | 1.82863 | − | 10.1639i | 0.0805790 | − | 0.447873i | ||||
\(516\) | −10.9255 | + | 24.5391i | −0.480968 | + | 1.08027i | ||||
\(517\) | 13.7203 | + | 26.9276i | 0.603419 | + | 1.18428i | ||||
\(518\) | −2.40429 | + | 1.34262i | −0.105638 | + | 0.0589912i | ||||
\(519\) | 48.8309 | + | 15.8661i | 2.14344 | + | 0.696446i | ||||
\(520\) | −5.46084 | + | 0.458633i | −0.239474 | + | 0.0201124i | ||||
\(521\) | −8.37225 | + | 39.3884i | −0.366795 | + | 1.72564i | 0.277383 | + | 0.960759i | \(0.410533\pi\) |
−0.644178 | + | 0.764876i | \(0.722800\pi\) | |||||||
\(522\) | −27.3509 | − | 42.1167i | −1.19712 | − | 1.84340i | ||||
\(523\) | 6.53065 | − | 5.28841i | 0.285565 | − | 0.231246i | −0.475825 | − | 0.879540i | \(-0.657850\pi\) |
0.761390 | + | 0.648294i | \(0.224517\pi\) | |||||||
\(524\) | 6.03420 | 0.263605 | ||||||||
\(525\) | −36.8484 | − | 16.5745i | −1.60819 | − | 0.723370i | ||||
\(526\) | 9.71020 | 0.423385 | ||||||||
\(527\) | 1.06587 | − | 0.863128i | 0.0464302 | − | 0.0375985i | ||||
\(528\) | 8.38797 | + | 12.9163i | 0.365040 | + | 0.562112i | ||||
\(529\) | 4.40287 | − | 20.7139i | 0.191429 | − | 0.900604i | ||||
\(530\) | −1.28185 | − | 0.776294i | −0.0556801 | − | 0.0337200i | ||||
\(531\) | 44.8499 | + | 14.5726i | 1.94632 | + | 0.632397i | ||||
\(532\) | 5.12364 | + | 3.05671i | 0.222138 | + | 0.132525i | ||||
\(533\) | −2.48503 | − | 4.87714i | −0.107639 | − | 0.211253i | ||||
\(534\) | −6.89575 | + | 15.4881i | −0.298408 | + | 0.670236i | ||||
\(535\) | 23.1471 | + | 12.4109i | 1.00073 | + | 0.536572i | ||||
\(536\) | −13.7634 | + | 6.12786i | −0.594488 | + | 0.264683i | ||||
\(537\) | −61.9661 | + | 23.7866i | −2.67404 | + | 1.02647i | ||||
\(538\) | 25.5515 | + | 4.04696i | 1.10160 | + | 0.174477i | ||||
\(539\) | 25.0004 | + | 19.2806i | 1.07684 | + | 0.830472i | ||||
\(540\) | 21.1820 | + | 6.15364i | 0.911528 | + | 0.264810i | ||||
\(541\) | 0.550939 | + | 0.245294i | 0.0236867 | + | 0.0105460i | 0.418546 | − | 0.908196i | \(-0.362540\pi\) |
−0.394859 | + | 0.918742i | \(0.629207\pi\) | |||||||
\(542\) | 7.98243 | + | 0.418341i | 0.342875 | + | 0.0179693i | ||||
\(543\) | −2.79370 | − | 10.4262i | −0.119889 | − | 0.447432i | ||||
\(544\) | −23.8307 | + | 5.06537i | −1.02173 | + | 0.217176i | ||||
\(545\) | 1.16877 | − | 9.25274i | 0.0500645 | − | 0.396344i | ||||
\(546\) | −5.64322 | + | 3.55099i | −0.241507 | + | 0.151968i | ||||
\(547\) | −1.34670 | + | 2.64304i | −0.0575807 | + | 0.113008i | −0.918003 | − | 0.396572i | \(-0.870200\pi\) |
0.860423 | + | 0.509581i | \(0.170200\pi\) | |||||||
\(548\) | −7.42125 | − | 9.16448i | −0.317020 | − | 0.391487i | ||||
\(549\) | −17.3349 | + | 30.0249i | −0.739835 | + | 1.28143i | ||||
\(550\) | −18.3711 | + | 13.6443i | −0.783347 | + | 0.581797i | ||||
\(551\) | −15.7388 | + | 9.08680i | −0.670495 | + | 0.387111i | ||||
\(552\) | 12.2778 | − | 1.94462i | 0.522580 | − | 0.0827685i | ||||
\(553\) | 36.9272 | − | 11.4169i | 1.57030 | − | 0.485494i | ||||
\(554\) | −18.6360 | + | 6.05519i | −0.791766 | + | 0.257261i | ||||
\(555\) | 4.57733 | + | 5.30275i | 0.194297 | + | 0.225089i | ||||
\(556\) | −13.4686 | + | 12.1272i | −0.571197 | + | 0.514308i | ||||
\(557\) | −7.15617 | + | 1.91749i | −0.303217 | + | 0.0812466i | −0.407219 | − | 0.913330i | \(-0.633502\pi\) |
0.104003 | + | 0.994577i | \(0.466835\pi\) | |||||||
\(558\) | 1.48379 | + | 0.963582i | 0.0628137 | + | 0.0407917i | ||||
\(559\) | −5.96242 | + | 4.33195i | −0.252184 | + | 0.183222i | ||||
\(560\) | 2.47566 | + | 6.13337i | 0.104616 | + | 0.259182i | ||||
\(561\) | −55.4830 | − | 40.3108i | −2.34249 | − | 1.70192i | ||||
\(562\) | −8.35295 | − | 21.7602i | −0.352348 | − | 0.917898i | ||||
\(563\) | −11.9517 | + | 14.7591i | −0.503703 | + | 0.622021i | −0.964051 | − | 0.265717i | \(-0.914391\pi\) |
0.460348 | + | 0.887738i | \(0.347725\pi\) | |||||||
\(564\) | −8.07681 | − | 18.1408i | −0.340095 | − | 0.763866i | ||||
\(565\) | −9.87056 | − | 4.02795i | −0.415257 | − | 0.169457i | ||||
\(566\) | −0.669697 | − | 0.921760i | −0.0281495 | − | 0.0387444i | ||||
\(567\) | 31.3177 | − | 6.18979i | 1.31522 | − | 0.259947i | ||||
\(568\) | 14.8799 | − | 14.8799i | 0.624348 | − | 0.624348i | ||||
\(569\) | −0.0143392 | − | 0.0674608i | −0.000601132 | − | 0.00282811i | 0.977846 | − | 0.209326i | \(-0.0671268\pi\) |
−0.978447 | + | 0.206497i | \(0.933793\pi\) | |||||||
\(570\) | −5.29672 | + | 15.2107i | −0.221855 | + | 0.637108i | ||||
\(571\) | −28.9419 | − | 6.15179i | −1.21118 | − | 0.257444i | −0.442318 | − | 0.896858i | \(-0.645844\pi\) |
−0.768863 | + | 0.639414i | \(0.779177\pi\) | |||||||
\(572\) | −0.186225 | − | 3.55339i | −0.00778647 | − | 0.148575i | ||||
\(573\) | 9.85876 | + | 62.2457i | 0.411855 | + | 2.60035i | ||||
\(574\) | −12.9617 | + | 12.5959i | −0.541009 | + | 0.525744i | ||||
\(575\) | 1.47299 | + | 6.58894i | 0.0614278 | + | 0.274778i | ||||
\(576\) | −22.7891 | − | 39.4720i | −0.949548 | − | 1.64466i | ||||
\(577\) | 13.5769 | − | 35.3689i | 0.565212 | − | 1.47243i | −0.291469 | − | 0.956580i | \(-0.594144\pi\) |
0.856681 | − | 0.515847i | \(-0.172523\pi\) | |||||||
\(578\) | −6.62543 | + | 4.30261i | −0.275582 | + | 0.178965i | ||||
\(579\) | 25.3525 | − | 28.1568i | 1.05362 | − | 1.17016i | ||||
\(580\) | 16.8320 | + | 2.12615i | 0.698912 | + | 0.0882836i | ||||
\(581\) | 2.09383 | − | 31.3597i | 0.0868667 | − | 1.30102i | ||||
\(582\) | −2.77011 | − | 2.77011i | −0.114825 | − | 0.114825i | ||||
\(583\) | 1.62235 | − | 2.49820i | 0.0671909 | − | 0.103465i | ||||
\(584\) | 1.18272 | + | 11.2528i | 0.0489412 | + | 0.465644i | ||||
\(585\) | 7.96421 | + | 8.30478i | 0.329280 | + | 0.343361i | ||||
\(586\) | 22.4426 | + | 2.35881i | 0.927094 | + | 0.0974415i | ||||
\(587\) | 7.03315 | − | 44.4056i | 0.290289 | − | 1.83281i | −0.223267 | − | 0.974757i | \(-0.571672\pi\) |
0.513556 | − | 0.858056i | \(-0.328328\pi\) | |||||||
\(588\) | −15.7414 | − | 13.5110i | −0.649164 | − | 0.557183i | ||||
\(589\) | 0.376336 | − | 0.517983i | 0.0155067 | − | 0.0213431i | ||||
\(590\) | 14.3697 | − | 8.90987i | 0.591592 | − | 0.366813i | ||||
\(591\) | −45.7413 | + | 4.80761i | −1.88155 | + | 0.197759i | ||||
\(592\) | 0.0600149 | − | 1.14515i | 0.00246660 | − | 0.0470655i | ||||
\(593\) | −0.358344 | + | 1.33736i | −0.0147154 | + | 0.0549187i | −0.972893 | − | 0.231255i | \(-0.925717\pi\) |
0.958178 | + | 0.286174i | \(0.0923835\pi\) | |||||||
\(594\) | 14.3787 | − | 44.2530i | 0.589964 | − | 1.81572i | ||||
\(595\) | −20.0797 | − | 21.5472i | −0.823187 | − | 0.883351i | ||||
\(596\) | −1.50444 | − | 4.63020i | −0.0616243 | − | 0.189660i | ||||
\(597\) | 62.2010 | − | 3.25982i | 2.54572 | − | 0.133415i | ||||
\(598\) | 1.04014 | + | 0.399272i | 0.0425344 | + | 0.0163274i | ||||
\(599\) | −24.2226 | − | 13.9849i | −0.989708 | − | 0.571408i | −0.0845211 | − | 0.996422i | \(-0.526936\pi\) |
−0.905187 | + | 0.425013i | \(0.860269\pi\) | |||||||
\(600\) | 38.3383 | − | 25.4734i | 1.56515 | − | 1.03995i | ||||
\(601\) | − | 42.1385i | − | 1.71887i | −0.511249 | − | 0.859433i | \(-0.670817\pi\) | ||
0.511249 | − | 0.859433i | \(-0.329183\pi\) | |||||||
\(602\) | 19.4807 | + | 14.5839i | 0.793973 | + | 0.594397i | ||||
\(603\) | 28.1859 | + | 14.3614i | 1.14782 | + | 0.584842i | ||||
\(604\) | 2.00938 | + | 1.80925i | 0.0817604 | + | 0.0736174i | ||||
\(605\) | −11.9221 | − | 17.1532i | −0.484704 | − | 0.697378i | ||||
\(606\) | 22.2739 | + | 24.7377i | 0.904817 | + | 1.00490i | ||||
\(607\) | 21.2085 | + | 5.68281i | 0.860828 | + | 0.230658i | 0.662118 | − | 0.749400i | \(-0.269658\pi\) |
0.198711 | + | 0.980058i | \(0.436325\pi\) | |||||||
\(608\) | −10.1337 | + | 5.16337i | −0.410975 | + | 0.209402i | ||||
\(609\) | 59.3112 | − | 21.7989i | 2.40341 | − | 0.883337i | ||||
\(610\) | 4.21079 | + | 11.6954i | 0.170490 | + | 0.473534i | ||||
\(611\) | 0.569506 | − | 5.41849i | 0.0230397 | − | 0.219209i | ||||
\(612\) | 23.7578 | + | 19.2387i | 0.960353 | + | 0.777679i | ||||
\(613\) | 19.5876 | + | 15.8617i | 0.791136 | + | 0.640649i | 0.937265 | − | 0.348616i | \(-0.113348\pi\) |
−0.146130 | + | 0.989265i | \(0.546682\pi\) | |||||||
\(614\) | −2.81106 | + | 26.7455i | −0.113445 | + | 1.07936i | ||||
\(615\) | 38.0266 | + | 25.8421i | 1.53338 | + | 1.04205i | ||||
\(616\) | −33.7590 | + | 12.4076i | −1.36019 | + | 0.499917i | ||||
\(617\) | −15.4546 | + | 7.87449i | −0.622177 | + | 0.317015i | −0.736509 | − | 0.676428i | \(-0.763527\pi\) |
0.114332 | + | 0.993443i | \(0.463527\pi\) | |||||||
\(618\) | 13.8262 | + | 3.70473i | 0.556173 | + | 0.149026i | ||||
\(619\) | −24.6276 | − | 27.3518i | −0.989868 | − | 1.09936i | −0.995050 | − | 0.0993737i | \(-0.968316\pi\) |
0.00518175 | − | 0.999987i | \(-0.498351\pi\) | |||||||
\(620\) | −0.572197 | + | 0.172765i | −0.0229800 | + | 0.00693840i | ||||
\(621\) | −10.2021 | − | 9.18598i | −0.409395 | − | 0.368621i | ||||
\(622\) | 12.9909 | + | 6.61920i | 0.520888 | + | 0.265406i | ||||
\(623\) | −11.5857 | − | 8.67348i | −0.464171 | − | 0.347496i | ||||
\(624\) | − | 2.77648i | − | 0.111148i | ||||||
\(625\) | 15.1160 | + | 19.9124i | 0.604641 | + | 0.796498i | ||||
\(626\) | 2.40693 | + | 1.38964i | 0.0962004 | + | 0.0555413i | ||||
\(627\) | −29.8888 | − | 11.4732i | −1.19364 | − | 0.458197i | ||||
\(628\) | −0.0133838 | 0.000701414i | −0.000534071 | 2.79895e-5i | ||||||
\(629\) | 1.57796 | + | 4.85646i | 0.0629174 | + | 0.193640i | ||||
\(630\) | 18.4305 | − | 33.2234i | 0.734290 | − | 1.32365i | ||||
\(631\) | −3.86074 | + | 11.8821i | −0.153694 | + | 0.473020i | −0.998026 | − | 0.0627992i | \(-0.979997\pi\) |
0.844333 | + | 0.535819i | \(0.179997\pi\) | |||||||
\(632\) | −11.3966 | + | 42.5326i | −0.453331 | + | 1.69186i | ||||
\(633\) | −0.325302 | + | 6.20714i | −0.0129296 | + | 0.246712i | ||||
\(634\) | 14.3597 | − | 1.50927i | 0.570298 | − | 0.0599407i | ||||
\(635\) | 27.5056 | + | 2.01951i | 1.09152 | + | 0.0801420i | ||||
\(636\) | −1.15044 | + | 1.58344i | −0.0456179 | + | 0.0627877i | ||||
\(637\) | −1.88684 | − | 5.36985i | −0.0747592 | − | 0.212761i | ||||
\(638\) | 5.59862 | − | 35.3483i | 0.221652 | − | 1.39945i | ||||
\(639\) | −43.9425 | − | 4.61854i | −1.73834 | − | 0.182707i | ||||
\(640\) | 5.45624 | + | 0.981657i | 0.215677 | + | 0.0388034i | ||||
\(641\) | 0.140405 | + | 1.33587i | 0.00554567 | + | 0.0527635i | 0.996945 | − | 0.0781099i | \(-0.0248885\pi\) |
−0.991399 | + | 0.130873i | \(0.958222\pi\) | |||||||
\(642\) | −19.8272 | + | 30.5311i | −0.782515 | + | 1.20497i | ||||
\(643\) | −31.8887 | − | 31.8887i | −1.25757 | − | 1.25757i | −0.952251 | − | 0.305317i | \(-0.901238\pi\) |
−0.305317 | − | 0.952251i | \(-0.598762\pi\) | |||||||
\(644\) | −0.230933 | + | 3.45872i | −0.00910002 | + | 0.136293i | ||||
\(645\) | 26.3565 | − | 56.0124i | 1.03779 | − | 2.20549i | ||||
\(646\) | −7.85624 | + | 8.72524i | −0.309100 | + | 0.343290i | ||||
\(647\) | 31.8876 | − | 20.7081i | 1.25363 | − | 0.814118i | 0.264967 | − | 0.964257i | \(-0.414639\pi\) |
0.988665 | + | 0.150139i | \(0.0479722\pi\) | |||||||
\(648\) | −13.0331 | + | 33.9524i | −0.511989 | + | 1.33378i | ||||
\(649\) | 16.8039 | + | 29.1052i | 0.659612 | + | 1.14248i | ||||
\(650\) | 4.11732 | − | 0.259150i | 0.161495 | − | 0.0101647i | ||||
\(651\) | −1.59653 | + | 1.55149i | −0.0625731 | + | 0.0608075i | ||||
\(652\) | 2.89139 | + | 18.2555i | 0.113236 | + | 0.714942i | ||||
\(653\) | 0.730463 | + | 13.9381i | 0.0285852 | + | 0.545438i | 0.974962 | + | 0.222373i | \(0.0713802\pi\) |
−0.946377 | + | 0.323066i | \(0.895286\pi\) | |||||||
\(654\) | 12.6443 | + | 2.68764i | 0.494433 | + | 0.105095i | ||||
\(655\) | −13.9031 | − | 0.291045i | −0.543241 | − | 0.0113721i | ||||
\(656\) | −1.56481 | − | 7.36183i | −0.0610954 | − | 0.287431i | ||||
\(657\) | 16.7991 | − | 16.7991i | 0.655396 | − | 0.655396i | ||||
\(658\) | −17.6485 | + | 3.48813i | −0.688009 | + | 0.135982i | ||||
\(659\) | −8.59120 | − | 11.8248i | −0.334666 | − | 0.460628i | 0.608208 | − | 0.793777i | \(-0.291889\pi\) |
−0.942874 | + | 0.333150i | \(0.891889\pi\) | |||||||
\(660\) | 15.7497 | + | 25.4009i | 0.613057 | + | 0.988730i | ||||
\(661\) | 1.33330 | + | 2.99464i | 0.0518593 | + | 0.116478i | 0.937617 | − | 0.347670i | \(-0.113027\pi\) |
−0.885758 | + | 0.464148i | \(0.846360\pi\) | |||||||
\(662\) | 4.10016 | − | 5.06327i | 0.159357 | − | 0.196790i | ||||
\(663\) | 4.43076 | + | 11.5425i | 0.172076 | + | 0.448274i | ||||
\(664\) | 28.9670 | + | 21.0457i | 1.12414 | + | 0.816733i | ||||
\(665\) | −11.6577 | − | 7.28995i | −0.452067 | − | 0.282692i | ||||
\(666\) | −5.32902 | + | 3.87176i | −0.206495 | + | 0.150028i | ||||
\(667\) | −8.85561 | − | 5.75090i | −0.342891 | − | 0.222676i | ||||
\(668\) | 1.18351 | − | 0.317121i | 0.0457914 | − | 0.0122698i | ||||
\(669\) | −20.8160 | + | 18.7428i | −0.804793 | + | 0.724638i | ||||
\(670\) | 10.4556 | − | 4.39527i | 0.403933 | − | 0.169804i | ||||
\(671\) | −23.4987 | + | 7.63518i | −0.907156 | + | 0.294753i | ||||
\(672\) | 37.7809 | − | 11.6808i | 1.45743 | − | 0.450597i | ||||
\(673\) | −32.9876 | + | 5.22472i | −1.27158 | + | 0.201398i | −0.755503 | − | 0.655145i | \(-0.772608\pi\) |
−0.516076 | + | 0.856543i | \(0.672608\pi\) | |||||||
\(674\) | −16.3199 | + | 9.42233i | −0.628621 | + | 0.362934i | ||||
\(675\) | −48.5077 | − | 15.2000i | −1.86706 | − | 0.585047i | ||||
\(676\) | 5.98608 | − | 10.3682i | 0.230234 | − | 0.398777i | ||||
\(677\) | 7.25271 | + | 8.95635i | 0.278744 | + | 0.344220i | 0.897220 | − | 0.441583i | \(-0.145583\pi\) |
−0.618476 | + | 0.785804i | \(0.712250\pi\) | |||||||
\(678\) | 6.70842 | − | 13.1660i | 0.257635 | − | 0.505638i | ||||
\(679\) | 2.83046 | − | 1.78106i | 0.108623 | − | 0.0683509i | ||||
\(680\) | 32.9590 | − | 6.28773i | 1.26392 | − | 0.241123i | ||||
\(681\) | −40.0778 | + | 8.51879i | −1.53578 | + | 0.326441i | ||||
\(682\) | 0.326334 | + | 1.21789i | 0.0124960 | + | 0.0466355i | ||||
\(683\) | −16.3654 | − | 0.857673i | −0.626204 | − | 0.0328180i | −0.263405 | − | 0.964685i | \(-0.584846\pi\) |
−0.362799 | + | 0.931867i | \(0.618179\pi\) | |||||||
\(684\) | 13.0373 | + | 5.80459i | 0.498494 | + | 0.221944i | ||||
\(685\) | 16.6569 | + | 21.4734i | 0.636429 | + | 0.820457i | ||||
\(686\) | −15.0994 | + | 11.1894i | −0.576496 | + | 0.427214i | ||||
\(687\) | 30.2805 | + | 4.79595i | 1.15527 | + | 0.182977i | ||||
\(688\) | −9.46049 | + | 3.63154i | −0.360678 | + | 0.138451i | ||||
\(689\) | −0.490583 | + | 0.218422i | −0.0186897 | + | 0.00832121i | ||||
\(690\) | −9.27155 | + | 1.27017i | −0.352962 | + | 0.0483545i | ||||
\(691\) | −8.48130 | + | 19.0493i | −0.322644 | + | 0.724670i | −0.999939 | − | 0.0110413i | \(-0.996485\pi\) |
0.677295 | + | 0.735711i | \(0.263152\pi\) | |||||||
\(692\) | −7.40496 | − | 14.5331i | −0.281494 | − | 0.552464i | ||||
\(693\) | 64.8547 | + | 38.6917i | 2.46363 | + | 1.46977i | ||||
\(694\) | −34.6503 | − | 11.2586i | −1.31531 | − | 0.427369i | ||||
\(695\) | 31.6174 | − | 27.2921i | 1.19932 | − | 1.03525i | ||||
\(696\) | −14.9671 | + | 70.4146i | −0.567326 | + | 2.66906i | ||||
\(697\) | 18.2534 | + | 28.1078i | 0.691398 | + | 1.06466i | ||||
\(698\) | 17.6187 | − | 14.2674i | 0.666879 | − | 0.540028i | ||||
\(699\) | 60.1097 | 2.27356 | ||||||||
\(700\) | 4.55417 | + | 12.0005i | 0.172131 | + | 0.453576i | ||||
\(701\) | 18.7776 | 0.709221 | 0.354610 | − | 0.935014i | \(-0.384614\pi\) | ||||
0.354610 | + | 0.935014i | \(0.384614\pi\) | |||||||
\(702\) | −6.51907 | + | 5.27904i | −0.246046 | + | 0.199244i | ||||
\(703\) | 1.29830 | + | 1.99921i | 0.0489665 | + | 0.0754017i | ||||
\(704\) | 6.75340 | − | 31.7723i | 0.254528 | − | 1.19746i | ||||
\(705\) | 17.7344 | + | 42.1870i | 0.667917 | + | 1.58885i | ||||
\(706\) | −6.77870 | − | 2.20253i | −0.255120 | − | 0.0828934i | ||||
\(707\) | −24.8099 | + | 13.8545i | −0.933073 | + | 0.521052i | ||||
\(708\) | −10.0253 | − | 19.6757i | −0.376773 | − | 0.739459i | ||||
\(709\) | 13.0878 | − | 29.3956i | 0.491522 | − | 1.10398i | −0.482164 | − | 0.876081i | \(-0.660149\pi\) |
0.973686 | − | 0.227895i | \(-0.0731843\pi\) | |||||||
\(710\) | −11.4338 | + | 10.9649i | −0.429103 | + | 0.411506i | ||||
\(711\) | 84.4623 | − | 37.6050i | 3.16758 | − | 1.41030i | ||||
\(712\) | 15.3925 | − | 5.90861i | 0.576857 | − | 0.221434i | ||||
\(713\) | 0.367421 | + | 0.0581937i | 0.0137600 | + | 0.00217937i | ||||
\(714\) | 32.0904 | − | 25.2347i | 1.20095 | − | 0.944383i | ||||
\(715\) | 0.257685 | + | 8.19619i | 0.00963686 | + | 0.306520i | ||||
\(716\) | 19.2628 | + | 8.57636i | 0.719886 | + | 0.320514i | ||||
\(717\) | −48.3982 | − | 2.53644i | −1.80747 | − | 0.0947253i | ||||
\(718\) | −3.69054 | − | 13.7733i | −0.137730 | − | 0.514014i | ||||
\(719\) | −15.1697 | + | 3.22443i | −0.565736 | + | 0.120251i | −0.481896 | − | 0.876228i | \(-0.660052\pi\) |
−0.0838399 | + | 0.996479i | \(0.526718\pi\) | |||||||
\(720\) | 7.62208 | + | 13.8641i | 0.284058 | + | 0.516683i | ||||
\(721\) | −5.70259 | + | 10.8068i | −0.212375 | + | 0.402467i | ||||
\(722\) | 6.26475 | − | 12.2953i | 0.233150 | − | 0.457582i | ||||
\(723\) | −14.7639 | − | 18.2319i | −0.549075 | − | 0.678051i | ||||
\(724\) | −1.71451 | + | 2.96962i | −0.0637193 | + | 0.110365i | ||||
\(725\) | −38.6794 | − | 5.71062i | −1.43652 | − | 0.212087i | ||||
\(726\) | 25.0751 | − | 14.4771i | 0.930625 | − | 0.537297i | ||||
\(727\) | −28.4976 | + | 4.51358i | −1.05692 | + | 0.167399i | −0.660618 | − | 0.750722i | \(-0.729706\pi\) |
−0.396300 | + | 0.918121i | \(0.629706\pi\) | |||||||
\(728\) | 6.32247 | + | 1.43874i | 0.234326 | + | 0.0533231i | ||||
\(729\) | −15.9724 | + | 5.18976i | −0.591572 | + | 0.192213i | ||||
\(730\) | −0.712875 | − | 8.48805i | −0.0263847 | − | 0.314157i | ||||
\(731\) | 33.5343 | − | 30.1945i | 1.24031 | − | 1.11678i | ||||
\(732\) | 15.6816 | − | 4.20187i | 0.579608 | − | 0.155305i | ||||
\(733\) | −29.9525 | − | 19.4514i | −1.10632 | − | 0.718452i | −0.143784 | − | 0.989609i | \(-0.545927\pi\) |
−0.962535 | + | 0.271157i | \(0.912594\pi\) | |||||||
\(734\) | −23.3662 | + | 16.9765i | −0.862461 | + | 0.626615i | ||||
\(735\) | 35.6174 | + | 31.8892i | 1.31377 | + | 1.17625i | ||||
\(736\) | −5.34602 | − | 3.88411i | −0.197057 | − | 0.143170i | ||||
\(737\) | 8.07914 | + | 21.0469i | 0.297599 | + | 0.775272i | ||||
\(738\) | −27.2072 | + | 33.5981i | −1.00151 | + | 1.23676i | ||||
\(739\) | −15.9130 | − | 35.7412i | −0.585369 | − | 1.31476i | −0.927047 | − | 0.374944i | \(-0.877662\pi\) |
0.341678 | − | 0.939817i | \(-0.389005\pi\) | |||||||
\(740\) | 0.162952 | − | 2.21939i | 0.00599023 | − | 0.0815863i | ||||
\(741\) | 3.39251 | + | 4.66939i | 0.124627 | + | 0.171534i | ||||
\(742\) | 1.16750 | + | 1.33455i | 0.0428602 | + | 0.0489930i | ||||
\(743\) | 9.05785 | − | 9.05785i | 0.332300 | − | 0.332300i | −0.521159 | − | 0.853460i | \(-0.674500\pi\) |
0.853460 | + | 0.521159i | \(0.174500\pi\) | |||||||
\(744\) | −0.527295 | − | 2.48073i | −0.0193316 | − | 0.0909479i | ||||
\(745\) | 3.24299 | + | 10.7408i | 0.118814 | + | 0.393512i | ||||
\(746\) | 7.02016 | + | 1.49218i | 0.257026 | + | 0.0546326i | ||||
\(747\) | −3.93460 | − | 75.0767i | −0.143960 | − | 2.74691i | ||||
\(748\) | 3.40818 | + | 21.5184i | 0.124615 | + | 0.786790i | ||||
\(749\) | −21.6577 | − | 22.2865i | −0.791355 | − | 0.814333i | ||||
\(750\) | −29.2566 | + | 18.5685i | −1.06830 | + | 0.678024i | ||||
\(751\) | 0.346250 | + | 0.599723i | 0.0126349 | + | 0.0218842i | 0.872274 | − | 0.489018i | \(-0.162645\pi\) |
−0.859639 | + | 0.510902i | \(0.829311\pi\) | |||||||
\(752\) | 2.68466 | − | 6.99378i | 0.0978996 | − | 0.255037i | ||||
\(753\) | −29.9833 | + | 19.4714i | −1.09265 | + | 0.709577i | ||||
\(754\) | −4.31724 | + | 4.79478i | −0.157225 | + | 0.174616i | ||||
\(755\) | −4.54245 | − | 4.26553i | −0.165317 | − | 0.155239i | ||||
\(756\) | −21.6829 | − | 14.5263i | −0.788600 | − | 0.528317i | ||||
\(757\) | −3.00884 | − | 3.00884i | −0.109358 | − | 0.109358i | 0.650310 | − | 0.759669i | \(-0.274639\pi\) |
−0.759669 | + | 0.650310i | \(0.774639\pi\) | |||||||
\(758\) | 9.17335 | − | 14.1257i | 0.333191 | − | 0.513069i | ||||
\(759\) | −1.94436 | − | 18.4994i | −0.0705759 | − | 0.671485i | ||||
\(760\) | 14.1021 | − | 6.81747i | 0.511538 | − | 0.247296i | ||||
\(761\) | −30.7067 | − | 3.22741i | −1.11312 | − | 0.116993i | −0.469931 | − | 0.882703i | \(-0.655721\pi\) |
−0.643187 | + | 0.765709i | \(0.722388\pi\) | |||||||
\(762\) | −5.98005 | + | 37.7565i | −0.216634 | + | 1.36777i | ||||
\(763\) | −4.63212 | + | 10.0157i | −0.167694 | + | 0.362593i | ||||
\(764\) | 11.7678 | − | 16.1970i | 0.425744 | − | 0.585987i | ||||
\(765\) | −53.8114 | − | 45.4729i | −1.94556 | − | 1.64408i | ||||
\(766\) | 15.3294 | − | 1.61119i | 0.553875 | − | 0.0582146i | ||||
\(767\) | 0.317093 | − | 6.05050i | 0.0114496 | − | 0.218471i | ||||
\(768\) | −13.3751 | + | 49.9165i | −0.482632 | + | 1.80121i | ||||
\(769\) | −5.59577 | + | 17.2220i | −0.201789 | + | 0.621042i | 0.798041 | + | 0.602603i | \(0.205870\pi\) |
−0.999830 | + | 0.0184391i | \(0.994130\pi\) | |||||||
\(770\) | 25.6042 | − | 8.80668i | 0.922711 | − | 0.317371i | ||||
\(771\) | 18.8163 | + | 57.9106i | 0.677652 | + | 2.08560i | ||||
\(772\) | −12.0199 | + | 0.629938i | −0.432607 | + | 0.0226720i | ||||
\(773\) | −3.78022 | − | 1.45109i | −0.135965 | − | 0.0521921i | 0.289434 | − | 0.957198i | \(-0.406533\pi\) |
−0.425399 | + | 0.905006i | \(0.639866\pi\) | |||||||
\(774\) | 50.4108 | + | 29.1047i | 1.81198 | + | 1.04615i | ||||
\(775\) | 1.32671 | − | 0.370461i | 0.0476567 | − | 0.0133074i | ||||
\(776\) | 3.80978i | 0.136763i | ||||||||
\(777\) | −3.26255 | − | 7.61941i | −0.117043 | − | 0.273345i | ||||
\(778\) | −18.8595 | − | 9.60938i | −0.676145 | − | 0.344513i | ||||
\(779\) | 11.6269 | + | 10.4689i | 0.416576 | + | 0.375087i | ||||
\(780\) | 0.112768 | − | 5.38692i | 0.00403775 | − | 0.192883i | ||||
\(781\) | −21.0701 | − | 23.4007i | −0.753948 | − | 0.837344i | ||||
\(782\) | −6.58922 | − | 1.76558i | −0.235630 | − | 0.0631369i | ||||
\(783\) | 70.8356 | − | 36.0926i | 2.53146 | − | 1.28984i | ||||
\(784\) | −0.594990 | − | 7.80333i | −0.0212496 | − | 0.278690i | ||||
\(785\) | 0.0308708 | 0.000970564i | 0.00110183 | 3.46409e-5i | ||||||
\(786\) | 2.01478 | − | 19.1693i | 0.0718647 | − | 0.683747i | ||||
\(787\) | 16.8436 | + | 13.6397i | 0.600411 | + | 0.486203i | 0.880676 | − | 0.473720i | \(-0.157089\pi\) |
−0.280265 | + | 0.959923i | \(0.590422\pi\) | |||||||
\(788\) | 11.3549 | + | 9.19504i | 0.404503 | + | 0.327560i | ||||
\(789\) | −3.05501 | + | 29.0665i | −0.108761 | + | 1.03479i | ||||
\(790\) | 9.24775 | − | 31.8325i | 0.329020 | − | 1.13255i | ||||
\(791\) | 9.68833 | + | 8.07771i | 0.344477 | + | 0.287210i | ||||
\(792\) | −76.6562 | + | 39.0583i | −2.72386 | + | 1.38788i | ||||
\(793\) | 4.30256 | + | 1.15287i | 0.152788 | + | 0.0409395i | ||||
\(794\) | 1.41836 | + | 1.57524i | 0.0503356 | + | 0.0559033i | ||||
\(795\) | 2.72705 | − | 3.59286i | 0.0967185 | − | 0.127425i | ||||
\(796\) | −14.7046 | − | 13.2401i | −0.521192 | − | 0.469283i | ||||
\(797\) | −43.8861 | − | 22.3611i | −1.55453 | − | 0.792071i | −0.555310 | − | 0.831643i | \(-0.687400\pi\) |
−0.999217 | + | 0.0395725i | \(0.987400\pi\) | |||||||
\(798\) | 11.4212 | − | 15.2560i | 0.404307 | − | 0.540058i | ||||
\(799\) | 33.3591i | 1.18016i | ||||||||
\(800\) | −23.9859 | − | 4.83574i | −0.848030 | − | 0.170969i | ||||
\(801\) | −29.9807 | − | 17.3094i | −1.05932 | − | 0.611596i | ||||
\(802\) | −1.54385 | − | 0.592630i | −0.0545154 | − | 0.0209265i | ||||
\(803\) | 16.9080 | − | 0.886109i | 0.596669 | − | 0.0312701i | ||||
\(804\) | −4.57749 | − | 14.0881i | −0.161436 | − | 0.496848i | ||||
\(805\) | 0.698904 | − | 7.95795i | 0.0246331 | − | 0.280481i | ||||
\(806\) | 0.0702416 | − | 0.216181i | 0.00247415 | − | 0.00761466i | ||||
\(807\) | −20.1531 | + | 75.2125i | −0.709424 | + | 2.64761i | ||||
\(808\) | 1.69424 | − | 32.3280i | 0.0596030 | − | 1.13729i | ||||
\(809\) | −5.95505 | + | 0.625901i | −0.209369 | + | 0.0220055i | −0.208632 | − | 0.977994i | \(-0.566901\pi\) |
−0.000736505 | 1.00000i | \(0.500234\pi\) | ||||||||
\(810\) | 10.3443 | − | 25.3489i | 0.363462 | − | 0.890671i | ||||
\(811\) | −5.01533 | + | 6.90300i | −0.176112 | + | 0.242397i | −0.887943 | − | 0.459953i | \(-0.847866\pi\) |
0.711831 | + | 0.702351i | \(0.247866\pi\) | |||||||
\(812\) | −18.2200 | − | 8.42647i | −0.639395 | − | 0.295711i | ||||
\(813\) | −3.76368 | + | 23.7630i | −0.131998 | + | 0.833403i | ||||
\(814\) | −4.66864 | − | 0.490693i | −0.163636 | − | 0.0171988i | ||||
\(815\) | −5.78142 | − | 42.2012i | −0.202514 | − | 1.47824i | ||||
\(816\) | 1.77697 | + | 16.9067i | 0.0622064 | + | 0.591855i | ||||
\(817\) | 11.4731 | − | 17.6670i | 0.401391 | − | 0.618088i | ||||
\(818\) | 10.4451 | + | 10.4451i | 0.365204 | + | 0.365204i | ||||
\(819\) | −6.00669 | − | 12.2179i | −0.209891 | − | 0.426928i | ||||
\(820\) | −2.73703 | − | 14.3470i | −0.0955811 | − | 0.501018i | ||||
\(821\) | 33.6960 | − | 37.4232i | 1.17600 | − | 1.30608i | 0.233311 | − | 0.972402i | \(-0.425044\pi\) |
0.942688 | − | 0.333677i | \(-0.108289\pi\) | |||||||
\(822\) | −31.5914 | + | 20.5157i | −1.10188 | + | 0.715567i | ||||
\(823\) | 18.2408 | − | 47.5190i | 0.635836 | − | 1.65641i | −0.112953 | − | 0.993600i | \(-0.536031\pi\) |
0.748789 | − | 0.662809i | \(-0.230636\pi\) | |||||||
\(824\) | −6.96014 | − | 12.0553i | −0.242468 | − | 0.419967i | ||||
\(825\) | −35.0631 | − | 59.2848i | −1.22074 | − | 2.06403i | ||||
\(826\) | −19.3960 | + | 4.90080i | −0.674875 | + | 0.170521i | ||||
\(827\) | −1.84953 | − | 11.6775i | −0.0643145 | − | 0.406066i | −0.998752 | − | 0.0499394i | \(-0.984097\pi\) |
0.934438 | − | 0.356127i | \(-0.115903\pi\) | |||||||
\(828\) | 0.433955 | + | 8.28035i | 0.0150810 | + | 0.287762i | ||||
\(829\) | 42.5874 | + | 9.05224i | 1.47912 | + | 0.314397i | 0.875634 | − | 0.482975i | \(-0.160444\pi\) |
0.603488 | + | 0.797372i | \(0.293777\pi\) | |||||||
\(830\) | −21.4704 | − | 16.2965i | −0.745248 | − | 0.565658i | ||||
\(831\) | −12.2624 | − | 57.6899i | −0.425377 | − | 2.00124i | ||||
\(832\) | −4.14071 | + | 4.14071i | −0.143553 | + | 0.143553i | ||||
\(833\) | 14.9262 | + | 31.4909i | 0.517163 | + | 1.09110i | ||||
\(834\) | 34.0284 | + | 46.8360i | 1.17831 | + | 1.62180i | ||||
\(835\) | −2.74217 | + | 0.673580i | −0.0948967 | + | 0.0233102i | ||||
\(836\) | 4.13673 | + | 9.29125i | 0.143072 | + | 0.321344i | ||||
\(837\) | −1.76262 | + | 2.17666i | −0.0609252 | + | 0.0752363i | ||||
\(838\) | −1.51560 | − | 3.94827i | −0.0523556 | − | 0.136391i | ||||
\(839\) | 35.2241 | + | 25.5918i | 1.21607 | + | 0.883526i | 0.995768 | − | 0.0919057i | \(-0.0292958\pi\) |
0.220302 | + | 0.975432i | \(0.429296\pi\) | |||||||
\(840\) | −52.3581 | + | 14.9945i | −1.80653 | + | 0.517361i | ||||
\(841\) | 26.0084 | − | 18.8962i | 0.896841 | − | 0.651593i | ||||
\(842\) | 10.3798 | + | 6.74072i | 0.357711 | + | 0.232300i | ||||
\(843\) | 67.7648 | − | 18.1575i | 2.33395 | − | 0.625379i | ||||
\(844\) | 1.46740 | − | 1.32125i | 0.0505099 | − | 0.0454793i | ||||
\(845\) | −14.2923 | + | 23.6002i | −0.491671 | + | 0.811870i | ||||
\(846\) | −40.9258 | + | 13.2976i | −1.40706 | + | 0.457181i | ||||
\(847\) | 7.30077 | + | 23.6139i | 0.250857 | + | 0.811385i | ||||
\(848\) | −0.729289 | + | 0.115508i | −0.0250439 | + | 0.00396656i | ||||
\(849\) | 2.96989 | − | 1.71467i | 0.101926 | − | 0.0588473i | ||||
\(850\) | −24.9057 | + | 4.21316i | −0.854257 | + | 0.144510i | ||||
\(851\) | −0.692507 | + | 1.19946i | −0.0237388 | + | 0.0411168i | ||||
\(852\) | 13.0208 | + | 16.0793i | 0.446085 | + | 0.550869i | ||||
\(853\) | −22.1427 | + | 43.4575i | −0.758151 | + | 1.48796i | 0.111220 | + | 0.993796i | \(0.464524\pi\) |
−0.869371 | + | 0.494160i | \(0.835476\pi\) | |||||||
\(854\) | −0.559504 | − | 14.6972i | −0.0191458 | − | 0.502926i | ||||
\(855\) | −29.7587 | − | 14.0029i | −1.01773 | − | 0.478890i | ||||
\(856\) | 34.6293 | − | 7.36068i | 1.18360 | − | 0.251583i | ||||
\(857\) | 5.89822 | + | 22.0125i | 0.201479 | + | 0.751931i | 0.990494 | + | 0.137557i | \(0.0439250\pi\) |
−0.789014 | + | 0.614375i | \(0.789408\pi\) | |||||||
\(858\) | −11.3505 | − | 0.594855i | −0.387500 | − | 0.0203080i | ||||
\(859\) | 0.929899 | + | 0.414018i | 0.0317278 | + | 0.0141261i | 0.422539 | − | 0.906345i | \(-0.361139\pi\) |
−0.390811 | + | 0.920471i | \(0.627806\pi\) | |||||||
\(860\) | −18.5027 | + | 6.66167i | −0.630937 | + | 0.227161i | ||||
\(861\) | −33.6266 | − | 42.7623i | −1.14599 | − | 1.45734i | ||||
\(862\) | −30.5924 | − | 4.84536i | −1.04198 | − | 0.165034i | ||||
\(863\) | 21.1212 | − | 8.10768i | 0.718975 | − | 0.275989i | 0.0287533 | − | 0.999587i | \(-0.490846\pi\) |
0.690222 | + | 0.723598i | \(0.257513\pi\) | |||||||
\(864\) | 45.4514 | − | 20.2363i | 1.54629 | − | 0.688451i | ||||
\(865\) | 16.3605 | + | 33.8421i | 0.556273 | + | 1.15067i | ||||
\(866\) | 1.16699 | − | 2.62110i | 0.0396559 | − | 0.0890687i | ||||
\(867\) | −10.7949 | − | 21.1862i | −0.366615 | − | 0.719522i | ||||
\(868\) | 0.707147 | + | 0.0101195i | 0.0240021 | + | 0.000343480i | ||||
\(869\) | 62.6650 | + | 20.3611i | 2.12576 | + | 0.690702i | ||||
\(870\) | 12.3744 | − | 52.7617i | 0.419531 | − | 1.78879i | ||||
\(871\) | 0.845009 | − | 3.97545i | 0.0286320 | − | 0.134703i | ||||
\(872\) | −6.84681 | − | 10.5432i | −0.231862 | − | 0.357037i | ||||
\(873\) | 6.21666 | − | 5.03416i | 0.210402 | − | 0.170380i | ||||
\(874\) | −3.18452 | −0.107718 | ||||||||
\(875\) | −9.91424 | − | 27.8695i | −0.335162 | − | 0.942160i | ||||
\(876\) | −11.1249 | −0.375876 | ||||||||
\(877\) | 39.2981 | − | 31.8230i | 1.32700 | − | 1.07458i | 0.335841 | − | 0.941919i | \(-0.390979\pi\) |
0.991161 | − | 0.132666i | \(-0.0423539\pi\) | |||||||
\(878\) | −6.12419 | − | 9.43043i | −0.206681 | − | 0.318262i | ||||
\(879\) | −14.1217 | + | 66.4374i | −0.476313 | + | 2.24088i | ||||
\(880\) | −2.57455 | + | 10.9773i | −0.0867881 | + | 0.370045i | ||||
\(881\) | −23.6837 | − | 7.69530i | −0.797924 | − | 0.259261i | −0.118449 | − | 0.992960i | \(-0.537792\pi\) |
−0.679475 | + | 0.733699i | \(0.737792\pi\) | |||||||
\(882\) | −32.6839 | + | 30.8648i | −1.10053 | + | 1.03927i | ||||
\(883\) | 26.7704 | + | 52.5398i | 0.900895 | + | 1.76811i | 0.561545 | + | 0.827446i | \(0.310207\pi\) |
0.339350 | + | 0.940660i | \(0.389793\pi\) | |||||||
\(884\) | 1.59753 | − | 3.58812i | 0.0537308 | − | 0.120681i | ||||
\(885\) | 22.1498 | + | 45.8175i | 0.744557 | + | 1.54014i | ||||
\(886\) | −5.96688 | + | 2.65663i | −0.200461 | + | 0.0892511i | ||||
\(887\) | −25.5234 | + | 9.79751i | −0.856991 | + | 0.328968i | −0.746886 | − | 0.664952i | \(-0.768452\pi\) |
−0.110105 | + | 0.993920i | \(0.535119\pi\) | |||||||
\(888\) | 9.32621 | + | 1.47713i | 0.312967 | + | 0.0495691i | ||||
\(889\) | −30.2947 | − | 12.1292i | −1.01605 | − | 0.406801i | ||||
\(890\) | −11.6782 | + | 4.20459i | −0.391454 | + | 0.140938i | ||||
\(891\) | 49.7153 | + | 22.1347i | 1.66553 | + | 0.741540i | ||||
\(892\) | 8.88618 | + | 0.465705i | 0.297531 | + | 0.0155930i | ||||
\(893\) | 4.03056 | + | 15.0422i | 0.134877 | + | 0.503370i | ||||
\(894\) | −15.2114 | + | 3.23329i | −0.508746 | + | 0.108137i | ||||
\(895\) | −43.9690 | − | 20.6895i | −1.46972 | − | 0.691574i | ||||
\(896\) | −5.80140 | − | 3.06130i | −0.193811 | − | 0.102271i | ||||
\(897\) | −1.52243 | + | 2.98793i | −0.0508323 | + | 0.0997640i | ||||
\(898\) | 9.70919 | + | 11.9898i | 0.324000 | + | 0.400106i | ||||
\(899\) | −1.07713 | + | 1.86565i | −0.0359244 | + | 0.0622230i | ||||
\(900\) | 14.2252 | + | 27.2086i | 0.474175 | + | 0.906954i | ||||
\(901\) | 2.84750 | − | 1.64401i | 0.0948641 | − | 0.0547698i | ||||
\(902\) | −30.4311 | + | 4.81981i | −1.01325 | + | 0.160482i | ||||
\(903\) | −49.7845 | + | 53.7250i | −1.65672 | + | 1.78786i | ||||
\(904\) | −13.6668 | + | 4.44062i | −0.454552 | + | 0.147693i | ||||
\(905\) | 4.09356 | − | 6.75947i | 0.136075 | − | 0.224693i | ||||
\(906\) | 6.41850 | − | 5.77924i | 0.213240 | − | 0.192002i | ||||
\(907\) | 23.7201 | − | 6.35577i | 0.787612 | − | 0.211040i | 0.157474 | − | 0.987523i | \(-0.449665\pi\) |
0.630138 | + | 0.776483i | \(0.282998\pi\) | |||||||
\(908\) | 10.9164 | + | 7.08917i | 0.362272 | + | 0.235262i | ||||
\(909\) | −54.9903 | + | 39.9528i | −1.82391 | + | 1.32515i | ||||
\(910\) | −4.73593 | − | 1.18248i | −0.156995 | − | 0.0391988i | ||||
\(911\) | 19.5989 | + | 14.2395i | 0.649341 | + | 0.471774i | 0.863047 | − | 0.505124i | \(-0.168553\pi\) |
−0.213705 | + | 0.976898i | \(0.568553\pi\) | |||||||
\(912\) | 2.84400 | + | 7.40886i | 0.0941741 | + | 0.245332i | ||||
\(913\) | 33.7177 | − | 41.6379i | 1.11589 | − | 1.37801i | ||||
\(914\) | 12.0343 | + | 27.0296i | 0.398061 | + | 0.894059i | ||||
\(915\) | −36.3339 | + | 8.92497i | −1.20116 | + | 0.295050i | ||||
\(916\) | −5.72464 | − | 7.87930i | −0.189148 | − | 0.260339i | ||||
\(917\) | 15.5743 | + | 5.30797i | 0.514310 | + | 0.175285i | ||||
\(918\) | 36.3178 | − | 36.3178i | 1.19866 | − | 1.19866i | ||||
\(919\) | 8.34758 | + | 39.2723i | 0.275361 | + | 1.29547i | 0.870627 | + | 0.491944i | \(0.163713\pi\) |
−0.595266 | + | 0.803529i | \(0.702953\pi\) | |||||||
\(920\) | 7.24910 | + | 5.50221i | 0.238996 | + | 0.181403i | ||||
\(921\) | −79.1754 | − | 16.8293i | −2.60892 | − | 0.554543i | ||||
\(922\) | −0.280942 | − | 5.36068i | −0.00925232 | − | 0.176545i | ||||
\(923\) | 0.888045 | + | 5.60690i | 0.0292304 | + | 0.184553i | ||||
\(924\) | −8.66300 | − | 34.2858i | −0.284992 | − | 1.12792i | ||||
\(925\) | −0.482497 | + | 5.10573i | −0.0158644 | + | 0.167875i | ||||
\(926\) | −9.72150 | − | 16.8381i | −0.319468 | − | 0.553336i | ||||
\(927\) | −10.4745 | + | 27.2869i | −0.344027 | + | 0.896221i | ||||
\(928\) | 32.0937 | − | 20.8419i | 1.05353 | − | 0.684170i | ||||
\(929\) | 10.6238 | − | 11.7989i | 0.348556 | − | 0.387110i | −0.543218 | − | 0.839592i | \(-0.682794\pi\) |
0.891774 | + | 0.452481i | \(0.149461\pi\) | |||||||
\(930\) | 0.357783 | + | 1.87543i | 0.0117322 | + | 0.0614977i | ||||
\(931\) | 10.5353 | + | 12.3964i | 0.345282 | + | 0.406275i | ||||
\(932\) | −13.5026 | − | 13.5026i | −0.442292 | − | 0.442292i | ||||
\(933\) | −23.9011 | + | 36.8044i | −0.782486 | + | 1.20492i | ||||
\(934\) | −2.35684 | − | 22.4238i | −0.0771181 | − | 0.733730i | ||||
\(935\) | −6.81474 | − | 49.7439i | −0.222866 | − | 1.62680i | ||||
\(936\) | 15.4251 | + | 1.62124i | 0.504184 | + | 0.0529919i | ||||
\(937\) | −2.49641 | + | 15.7617i | −0.0815541 | + | 0.514912i | 0.912766 | + | 0.408483i | \(0.133942\pi\) |
−0.994320 | + | 0.106430i | \(0.966058\pi\) | |||||||
\(938\) | −13.3650 | + | 1.21164i | −0.436383 | + | 0.0395614i | ||||
\(939\) | −4.91702 | + | 6.76770i | −0.160461 | + | 0.220856i | ||||
\(940\) | 5.49283 | − | 13.4603i | 0.179156 | − | 0.439026i | ||||
\(941\) | −40.5272 | + | 4.25958i | −1.32115 | + | 0.138858i | −0.738715 | − | 0.674018i | \(-0.764567\pi\) |
−0.582436 | + | 0.812877i | \(0.697900\pi\) | |||||||
\(942\) | −0.00224051 | + | 0.0427515i | −7.29998e−5 | + | 0.00139292i | ||||
\(943\) | −2.35273 | + | 8.78051i | −0.0766155 | + | 0.285933i | ||||
\(944\) | 2.57434 | − | 7.92301i | 0.0837877 | − | 0.257872i | ||||
\(945\) | 49.2580 | + | 34.5153i | 1.60236 | + | 1.12278i | ||||
\(946\) | 12.8192 | + | 39.4534i | 0.416788 | + | 1.28274i | ||||
\(947\) | −0.988418 | + | 0.0518008i | −0.0321193 | + | 0.00168330i | −0.0683888 | − | 0.997659i | \(-0.521786\pi\) |
0.0362695 | + | 0.999342i | \(0.488453\pi\) | |||||||
\(948\) | −40.4184 | − | 15.5152i | −1.31273 | − | 0.503910i | ||||
\(949\) | −2.64341 | − | 1.52617i | −0.0858087 | − | 0.0495417i | ||||
\(950\) | −10.7214 | + | 4.90897i | −0.347847 | + | 0.159268i | ||||
\(951\) | 43.4592i | 1.40926i | ||||||||
\(952\) | −39.4201 | − | 4.71442i | −1.27761 | − | 0.152795i | ||||
\(953\) | −19.5215 | − | 9.94672i | −0.632364 | − | 0.322206i | 0.108262 | − | 0.994122i | \(-0.465471\pi\) |
−0.740627 | + | 0.671917i | \(0.765471\pi\) | |||||||
\(954\) | 3.15198 | + | 2.83806i | 0.102049 | + | 0.0918855i | ||||
\(955\) | −27.8949 | + | 36.7512i | −0.902658 | + | 1.18924i | ||||
\(956\) | 10.3020 | + | 11.4416i | 0.333192 | + | 0.370047i | ||||
\(957\) | 104.050 | + | 27.8801i | 3.36346 | + | 0.901237i | ||||
\(958\) | 15.6466 | − | 7.97233i | 0.505518 | − | 0.257574i | ||||
\(959\) | −11.0928 | − | 30.1817i | −0.358206 | − | 0.974618i | ||||
\(960\) | 13.7218 | − | 47.2331i | 0.442869 | − | 1.52444i | ||||
\(961\) | −3.23245 | + | 30.7547i | −0.104273 | + | 0.992087i | ||||
\(962\) | 0.657695 | + | 0.532591i | 0.0212049 | + | 0.0171714i | ||||
\(963\) | −57.7693 | − | 46.7806i | −1.86159 | − | 1.50748i | ||||
\(964\) | −0.779024 | + | 7.41192i | −0.0250907 | + | 0.238722i | ||||
\(965\) | 27.7250 | − | 0.871661i | 0.892499 | − | 0.0280598i | ||||
\(966\) | 10.9105 | + | 1.88846i | 0.351039 | + | 0.0607603i | ||||
\(967\) | 10.5068 | − | 5.35348i | 0.337876 | − | 0.172156i | −0.276817 | − | 0.960923i | \(-0.589280\pi\) |
0.614693 | + | 0.788766i | \(0.289280\pi\) | |||||||
\(968\) | −27.1984 | − | 7.28780i | −0.874191 | − | 0.234239i | ||||
\(969\) | −23.6464 | − | 26.2620i | −0.759632 | − | 0.843656i | ||||
\(970\) | 0.0600260 | − | 2.86743i | 0.00192732 | − | 0.0920675i | ||||
\(971\) | 16.0791 | + | 14.4777i | 0.516002 | + | 0.464610i | 0.885512 | − | 0.464616i | \(-0.153808\pi\) |
−0.369510 | + | 0.929227i | \(0.620474\pi\) | |||||||
\(972\) | −5.49223 | − | 2.79843i | −0.176163 | − | 0.0897597i | ||||
\(973\) | −45.4303 | + | 19.4528i | −1.45643 | + | 0.623629i | ||||
\(974\) | − | 32.4437i | − | 1.03956i | ||||||
\(975\) | −0.519649 | + | 12.4063i | −0.0166421 | + | 0.397320i | ||||
\(976\) | 5.30409 | + | 3.06232i | 0.169780 | + | 0.0980224i | ||||
\(977\) | −0.991124 | − | 0.380457i | −0.0317089 | − | 0.0121719i | 0.342462 | − | 0.939532i | \(-0.388739\pi\) |
−0.374171 | + | 0.927360i | \(0.622073\pi\) | |||||||
\(978\) | 58.9591 | − | 3.08992i | 1.88531 | − | 0.0988047i | ||||
\(979\) | −7.62393 | − | 23.4641i | −0.243662 | − | 0.749914i | ||||
\(980\) | −0.837462 | − | 15.1642i | −0.0267517 | − | 0.484402i | ||||
\(981\) | −8.15675 | + | 25.1039i | −0.260425 | + | 0.801505i | ||||
\(982\) | −2.74440 | + | 10.2422i | −0.0875774 | + | 0.326843i | ||||
\(983\) | 2.36115 | − | 45.0535i | 0.0753090 | − | 1.43698i | −0.655910 | − | 0.754839i | \(-0.727715\pi\) |
0.731219 | − | 0.682143i | \(-0.238952\pi\) | |||||||
\(984\) | 61.6342 | − | 6.47801i | 1.96483 | − | 0.206512i | ||||
\(985\) | −25.7189 | − | 21.7336i | −0.819472 | − | 0.692489i | ||||
\(986\) | 23.2202 | − | 31.9598i | 0.739480 | − | 1.01781i | ||||
\(987\) | −4.88883 | − | 53.9263i | −0.155613 | − | 1.71649i | ||||
\(988\) | 0.286829 | − | 1.81097i | 0.00912524 | − | 0.0576145i | ||||
\(989\) | 12.1723 | + | 1.27936i | 0.387055 | + | 0.0406811i | ||||
\(990\) | 58.3106 | − | 28.1894i | 1.85323 | − | 0.895918i | ||||
\(991\) | 1.90628 | + | 18.1370i | 0.0605549 | + | 0.576141i | 0.982165 | + | 0.188023i | \(0.0602081\pi\) |
−0.921610 | + | 0.388118i | \(0.873125\pi\) | |||||||
\(992\) | −0.734268 | + | 1.13067i | −0.0233130 | + | 0.0358989i | ||||
\(993\) | 13.8664 | + | 13.8664i | 0.440037 | + | 0.440037i | ||||
\(994\) | 16.8213 | − | 8.26985i | 0.533538 | − | 0.262304i | ||||
\(995\) | 33.2417 | + | 31.2152i | 1.05383 | + | 0.989587i | ||||
\(996\) | −23.5563 | + | 26.1619i | −0.746408 | + | 0.828971i | ||||
\(997\) | −36.0056 | + | 23.3823i | −1.14031 | + | 0.740525i | −0.969576 | − | 0.244792i | \(-0.921280\pi\) |
−0.170733 | + | 0.985317i | \(0.554614\pi\) | |||||||
\(998\) | −10.1632 | + | 26.4761i | −0.321711 | + | 0.838086i | ||||
\(999\) | −5.21396 | − | 9.03085i | −0.164962 | − | 0.285723i |
(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 | 175.2.x.a.87.7 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.a.668.7 | 288 | |||
5.3 | odd | 4 | 875.2.bb.b.668.12 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.332.12 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.12.12 | ✓ | 288 | |
25.2 | odd | 20 | 875.2.bb.c.843.7 | 288 | |||
25.11 | even | 5 | 875.2.bb.b.157.12 | 288 | |||
25.14 | even | 10 | 875.2.bb.a.157.7 | 288 | |||
25.23 | odd | 20 | inner | 175.2.x.a.73.12 | yes | 288 | |
35.12 | even | 12 | 875.2.bb.a.418.7 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.82.7 | 288 | |||
35.33 | even | 12 | 875.2.bb.b.418.12 | 288 | |||
175.61 | odd | 30 | 875.2.bb.b.782.12 | 288 | |||
175.89 | odd | 30 | 875.2.bb.a.782.7 | 288 | |||
175.152 | even | 60 | 875.2.bb.c.593.12 | 288 | |||
175.173 | even | 60 | inner | 175.2.x.a.173.7 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.12.12 | ✓ | 288 | 7.5 | odd | 6 | inner | |
175.2.x.a.73.12 | yes | 288 | 25.23 | odd | 20 | inner | |
175.2.x.a.87.7 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.173.7 | yes | 288 | 175.173 | even | 60 | inner | |
875.2.bb.a.157.7 | 288 | 25.14 | even | 10 | |||
875.2.bb.a.418.7 | 288 | 35.12 | even | 12 | |||
875.2.bb.a.668.7 | 288 | 5.2 | odd | 4 | |||
875.2.bb.a.782.7 | 288 | 175.89 | odd | 30 | |||
875.2.bb.b.157.12 | 288 | 25.11 | even | 5 | |||
875.2.bb.b.418.12 | 288 | 35.33 | even | 12 | |||
875.2.bb.b.668.12 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.782.12 | 288 | 175.61 | odd | 30 | |||
875.2.bb.c.82.7 | 288 | 35.19 | odd | 6 | |||
875.2.bb.c.332.12 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.593.12 | 288 | 175.152 | even | 60 | |||
875.2.bb.c.843.7 | 288 | 25.2 | odd | 20 |