Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [471,2,Mod(2,471)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(471, base_ring=CyclotomicField(52))
chi = DirichletCharacter(H, H._module([26, 47]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("471.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 471 = 3 \cdot 157 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 471.s (of order \(52\), degree \(24\), 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: | \(3.76095393520\) |
Analytic rank: | \(0\) |
Dimension: | \(1200\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{52})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{52}]$ |
Embedding invariants
Embedding label | 2.7 | ||
Character | \(\chi\) | \(=\) | 471.2 |
Dual form | 471.2.s.a.236.7 |
$q$-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 \(\left(\mathbb{Z}/471\mathbb{Z}\right)^\times\).
\(n\) | \(158\) | \(319\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{47}{52}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.20517 | + | 0.404112i | −1.55929 | + | 0.285750i | −0.889547 | − | 0.456843i | \(-0.848980\pi\) |
−0.669742 | + | 0.742594i | \(0.733595\pi\) | |||||||
\(3\) | 1.03114 | + | 1.39167i | 0.595329 | + | 0.803482i | ||||
\(4\) | 2.82943 | − | 1.07306i | 1.41471 | − | 0.536531i | ||||
\(5\) | −0.562752 | − | 1.80593i | −0.251670 | − | 0.807638i | −0.990949 | − | 0.134239i | \(-0.957141\pi\) |
0.739279 | − | 0.673400i | \(-0.235167\pi\) | |||||||
\(6\) | −2.83623 | − | 2.65217i | −1.15789 | − | 1.08275i | ||||
\(7\) | −2.85622 | + | 1.28548i | −1.07955 | + | 0.485866i | −0.870565 | − | 0.492053i | \(-0.836247\pi\) |
−0.208985 | + | 0.977919i | \(0.567016\pi\) | |||||||
\(8\) | −1.96860 | + | 1.19006i | −0.696004 | + | 0.420749i | ||||
\(9\) | −0.873498 | + | 2.87002i | −0.291166 | + | 0.956673i | ||||
\(10\) | 1.97076 | + | 3.75497i | 0.623210 | + | 1.18743i | ||||
\(11\) | 0.645800 | − | 0.445763i | 0.194716 | − | 0.134403i | −0.466718 | − | 0.884406i | \(-0.654564\pi\) |
0.661434 | + | 0.750004i | \(0.269948\pi\) | |||||||
\(12\) | 4.41089 | + | 2.83116i | 1.27331 | + | 0.817285i | ||||
\(13\) | − | 6.16163i | − | 1.70893i | −0.519509 | − | 0.854465i | \(-0.673885\pi\) | ||
0.519509 | − | 0.854465i | \(-0.326115\pi\) | |||||||
\(14\) | 5.77897 | − | 3.98894i | 1.54450 | − | 1.06609i | ||||
\(15\) | 1.93299 | − | 2.64534i | 0.499096 | − | 0.683023i | ||||
\(16\) | −0.669931 | + | 0.593507i | −0.167483 | + | 0.148377i | ||||
\(17\) | −0.396698 | + | 0.755845i | −0.0962134 | + | 0.183319i | −0.928806 | − | 0.370567i | \(-0.879163\pi\) |
0.832592 | + | 0.553886i | \(0.186856\pi\) | |||||||
\(18\) | 0.766401 | − | 6.68186i | 0.180642 | − | 1.57493i | ||||
\(19\) | −3.57124 | − | 0.880231i | −0.819299 | − | 0.201939i | −0.192677 | − | 0.981262i | \(-0.561717\pi\) |
−0.626622 | + | 0.779323i | \(0.715563\pi\) | |||||||
\(20\) | −3.53014 | − | 4.50590i | −0.789364 | − | 1.00755i | ||||
\(21\) | −4.73413 | − | 2.64941i | −1.03307 | − | 0.578149i | ||||
\(22\) | −1.24396 | + | 1.24396i | −0.265213 | + | 0.265213i | ||||
\(23\) | 0.266137 | − | 4.39976i | 0.0554933 | − | 0.917414i | −0.858787 | − | 0.512332i | \(-0.828782\pi\) |
0.914281 | − | 0.405081i | \(-0.132757\pi\) | |||||||
\(24\) | −3.68607 | − | 1.51252i | −0.752416 | − | 0.308742i | ||||
\(25\) | 1.17021 | − | 0.807738i | 0.234042 | − | 0.161548i | ||||
\(26\) | 2.48999 | + | 13.5874i | 0.488327 | + | 2.66472i | ||||
\(27\) | −4.89482 | + | 1.74377i | −0.942009 | + | 0.335589i | ||||
\(28\) | −6.70208 | + | 6.70208i | −1.26657 | + | 1.26657i | ||||
\(29\) | −0.986316 | − | 0.307348i | −0.183154 | − | 0.0570732i | 0.204554 | − | 0.978855i | \(-0.434426\pi\) |
−0.387708 | + | 0.921782i | \(0.626733\pi\) | |||||||
\(30\) | −3.19356 | + | 6.61456i | −0.583061 | + | 1.20765i | ||||
\(31\) | −6.41145 | − | 0.778491i | −1.15153 | − | 0.139821i | −0.477573 | − | 0.878592i | \(-0.658484\pi\) |
−0.673957 | + | 0.738771i | \(0.735407\pi\) | |||||||
\(32\) | 4.07480 | − | 5.20110i | 0.720331 | − | 0.919434i | ||||
\(33\) | 1.28627 | + | 0.439096i | 0.223910 | + | 0.0764368i | ||||
\(34\) | 0.569340 | − | 1.82708i | 0.0976410 | − | 0.313341i | ||||
\(35\) | 3.92884 | + | 4.43474i | 0.664095 | + | 0.749608i | ||||
\(36\) | 0.608204 | + | 9.05783i | 0.101367 | + | 1.50964i | ||||
\(37\) | 5.53027 | − | 2.90251i | 0.909171 | − | 0.477170i | 0.0557812 | − | 0.998443i | \(-0.482235\pi\) |
0.853390 | + | 0.521273i | \(0.174543\pi\) | |||||||
\(38\) | 8.23090 | + | 0.497878i | 1.33523 | + | 0.0807664i | ||||
\(39\) | 8.57497 | − | 6.35351i | 1.37309 | − | 1.01738i | ||||
\(40\) | 3.25700 | + | 2.88545i | 0.514976 | + | 0.456229i | ||||
\(41\) | −0.0920412 | − | 1.52162i | −0.0143744 | − | 0.237638i | −0.998266 | − | 0.0588696i | \(-0.981250\pi\) |
0.983891 | − | 0.178768i | \(-0.0572112\pi\) | |||||||
\(42\) | 11.5102 | + | 3.92927i | 1.77607 | + | 0.606300i | ||||
\(43\) | −7.51573 | − | 3.38255i | −1.14614 | − | 0.515835i | −0.253824 | − | 0.967250i | \(-0.581688\pi\) |
−0.892314 | + | 0.451416i | \(0.850919\pi\) | |||||||
\(44\) | 1.34891 | − | 1.95424i | 0.203356 | − | 0.294613i | ||||
\(45\) | 5.67463 | − | 0.0376285i | 0.845923 | − | 0.00560932i | ||||
\(46\) | 1.19112 | + | 9.80976i | 0.175621 | + | 1.44637i | ||||
\(47\) | 1.50964 | − | 2.87639i | 0.220204 | − | 0.419564i | −0.750144 | − | 0.661274i | \(-0.770016\pi\) |
0.970349 | + | 0.241710i | \(0.0777083\pi\) | |||||||
\(48\) | −1.51676 | − | 0.320334i | −0.218925 | − | 0.0462363i | ||||
\(49\) | 1.86368 | − | 2.10366i | 0.266241 | − | 0.300523i | ||||
\(50\) | −2.25409 | + | 2.25409i | −0.318777 | + | 0.318777i | ||||
\(51\) | −1.46094 | + | 0.227309i | −0.204572 | + | 0.0318297i | ||||
\(52\) | −6.61181 | − | 17.4339i | −0.916893 | − | 2.41765i | ||||
\(53\) | 8.70784 | − | 5.26407i | 1.19611 | − | 0.723076i | 0.228018 | − | 0.973657i | \(-0.426775\pi\) |
0.968096 | + | 0.250581i | \(0.0806216\pi\) | |||||||
\(54\) | 10.0892 | − | 5.82336i | 1.37297 | − | 0.792460i | ||||
\(55\) | −1.16844 | − | 0.915418i | −0.157553 | − | 0.123435i | ||||
\(56\) | 4.09295 | − | 5.92966i | 0.546943 | − | 0.792384i | ||||
\(57\) | −2.45746 | − | 5.87763i | −0.325498 | − | 0.778512i | ||||
\(58\) | 2.29920 | + | 0.279173i | 0.301899 | + | 0.0366572i | ||||
\(59\) | −10.7097 | − | 6.47422i | −1.39428 | − | 0.842871i | −0.397089 | − | 0.917780i | \(-0.629980\pi\) |
−0.997190 | + | 0.0749086i | \(0.976134\pi\) | |||||||
\(60\) | 2.63065 | − | 9.55901i | 0.339616 | − | 1.23406i | ||||
\(61\) | 8.65364 | − | 5.23131i | 1.10798 | − | 0.669800i | 0.159682 | − | 0.987168i | \(-0.448953\pi\) |
0.948302 | + | 0.317368i | \(0.102799\pi\) | |||||||
\(62\) | 14.4529 | − | 0.874241i | 1.83552 | − | 0.111029i | ||||
\(63\) | −1.19445 | − | 9.32027i | −0.150487 | − | 1.17424i | ||||
\(64\) | −6.05193 | + | 11.5310i | −0.756491 | + | 1.44137i | ||||
\(65\) | −11.1275 | + | 3.46747i | −1.38020 | + | 0.430087i | ||||
\(66\) | −3.01388 | − | 0.448485i | −0.370983 | − | 0.0552047i | ||||
\(67\) | 13.8479 | + | 3.41321i | 1.69179 | + | 0.416990i | 0.963378 | − | 0.268145i | \(-0.0864108\pi\) |
0.728416 | + | 0.685135i | \(0.240257\pi\) | |||||||
\(68\) | −0.311361 | + | 2.56429i | −0.0377581 | + | 0.310966i | ||||
\(69\) | 6.39744 | − | 4.16640i | 0.770162 | − | 0.501575i | ||||
\(70\) | −10.4559 | − | 8.19166i | −1.24972 | − | 0.979091i | ||||
\(71\) | −1.16964 | + | 4.74541i | −0.138810 | + | 0.563176i | 0.859807 | + | 0.510618i | \(0.170583\pi\) |
−0.998618 | + | 0.0525577i | \(0.983263\pi\) | |||||||
\(72\) | −1.69592 | − | 6.68942i | −0.199866 | − | 0.788355i | ||||
\(73\) | −3.45689 | − | 7.68090i | −0.404598 | − | 0.898981i | −0.995722 | − | 0.0923999i | \(-0.970546\pi\) |
0.591123 | − | 0.806581i | \(-0.298685\pi\) | |||||||
\(74\) | −11.0222 | + | 8.63537i | −1.28131 | + | 1.00384i | ||||
\(75\) | 2.33076 | + | 0.795657i | 0.269133 | + | 0.0918745i | ||||
\(76\) | −11.0491 | + | 1.34161i | −1.26742 | + | 0.153893i | ||||
\(77\) | −1.27153 | + | 2.10336i | −0.144904 | + | 0.239700i | ||||
\(78\) | −16.3417 | + | 17.4758i | −1.85034 | + | 1.97875i | ||||
\(79\) | −1.78603 | + | 9.74607i | −0.200944 | + | 1.09652i | 0.716180 | + | 0.697916i | \(0.245889\pi\) |
−0.917124 | + | 0.398602i | \(0.869495\pi\) | |||||||
\(80\) | 1.44884 | + | 0.875854i | 0.161985 | + | 0.0979235i | ||||
\(81\) | −7.47400 | − | 5.01391i | −0.830445 | − | 0.557101i | ||||
\(82\) | 0.817873 | + | 3.31824i | 0.0903189 | + | 0.366438i | ||||
\(83\) | −7.30548 | − | 9.32475i | −0.801880 | − | 1.02352i | −0.999068 | − | 0.0431588i | \(-0.986258\pi\) |
0.197188 | − | 0.980366i | \(-0.436819\pi\) | |||||||
\(84\) | −16.2379 | − | 2.41630i | −1.77170 | − | 0.263640i | ||||
\(85\) | 1.58825 | + | 0.291058i | 0.172270 | + | 0.0315696i | ||||
\(86\) | 17.9404 | + | 4.42191i | 1.93456 | + | 0.476826i | ||||
\(87\) | −0.589302 | − | 1.68955i | −0.0631798 | − | 0.181138i | ||||
\(88\) | −0.740835 | + | 1.64607i | −0.0789732 | + | 0.175471i | ||||
\(89\) | −6.41080 | − | 0.778412i | −0.679543 | − | 0.0825115i | −0.226515 | − | 0.974008i | \(-0.572733\pi\) |
−0.453028 | + | 0.891496i | \(0.649656\pi\) | |||||||
\(90\) | −12.4983 | + | 2.37616i | −1.31744 | + | 0.250470i | ||||
\(91\) | 7.92066 | + | 17.5990i | 0.830311 | + | 1.84488i | ||||
\(92\) | −3.96820 | − | 12.7344i | −0.413713 | − | 1.32765i | ||||
\(93\) | −5.52770 | − | 9.72536i | −0.573196 | − | 1.00847i | ||||
\(94\) | −2.16664 | + | 6.95298i | −0.223472 | + | 0.717145i | ||||
\(95\) | 0.420082 | + | 6.94478i | 0.0430995 | + | 0.712519i | ||||
\(96\) | 11.4399 | + | 0.307719i | 1.16758 | + | 0.0314064i | ||||
\(97\) | −0.0509599 | − | 0.163536i | −0.00517419 | − | 0.0166046i | 0.952098 | − | 0.305794i | \(-0.0989219\pi\) |
−0.957272 | + | 0.289190i | \(0.906614\pi\) | |||||||
\(98\) | −3.25962 | + | 5.39207i | −0.329271 | + | 0.544681i | ||||
\(99\) | 0.715244 | + | 2.24283i | 0.0718848 | + | 0.225413i | ||||
\(100\) | 2.44428 | − | 3.54115i | 0.244428 | − | 0.354115i | ||||
\(101\) | 6.81945 | + | 4.70712i | 0.678560 | + | 0.468376i | 0.856826 | − | 0.515606i | \(-0.172433\pi\) |
−0.178265 | + | 0.983982i | \(0.557049\pi\) | |||||||
\(102\) | 3.12976 | − | 1.09164i | 0.309892 | − | 0.108088i | ||||
\(103\) | 3.23029 | + | 4.12316i | 0.318290 | + | 0.406267i | 0.919667 | − | 0.392698i | \(-0.128458\pi\) |
−0.601378 | + | 0.798965i | \(0.705381\pi\) | |||||||
\(104\) | 7.33270 | + | 12.1298i | 0.719030 | + | 1.18942i | ||||
\(105\) | −2.12052 | + | 10.0405i | −0.206941 | + | 0.979852i | ||||
\(106\) | −17.0750 | + | 15.1271i | −1.65847 | + | 1.46927i | ||||
\(107\) | 1.83474 | + | 1.83474i | 0.177371 | + | 0.177371i | 0.790209 | − | 0.612838i | \(-0.209972\pi\) |
−0.612838 | + | 0.790209i | \(0.709972\pi\) | |||||||
\(108\) | −11.9784 | + | 10.1863i | −1.15262 | + | 0.980179i | ||||
\(109\) | 0.125899 | + | 0.331968i | 0.0120589 | + | 0.0317968i | 0.940911 | − | 0.338655i | \(-0.109972\pi\) |
−0.928852 | + | 0.370452i | \(0.879203\pi\) | |||||||
\(110\) | 2.94655 | + | 1.54647i | 0.280942 | + | 0.147450i | ||||
\(111\) | 9.74183 | + | 4.70342i | 0.924653 | + | 0.446429i | ||||
\(112\) | 1.15053 | − | 2.55637i | 0.108715 | − | 0.241554i | ||||
\(113\) | 9.76307 | + | 6.73896i | 0.918433 | + | 0.633948i | 0.930624 | − | 0.365977i | \(-0.119265\pi\) |
−0.0121911 | + | 0.999926i | \(0.503881\pi\) | |||||||
\(114\) | 7.79433 | + | 11.9681i | 0.730006 | + | 1.12091i | ||||
\(115\) | −8.09545 | + | 1.99535i | −0.754904 | + | 0.186067i | ||||
\(116\) | −3.12051 | + | 0.188756i | −0.289732 | + | 0.0175256i | ||||
\(117\) | 17.6840 | + | 5.38217i | 1.63489 | + | 0.497582i | ||||
\(118\) | 26.2329 | + | 9.94884i | 2.41494 | + | 0.915865i | ||||
\(119\) | 0.161433 | − | 2.66881i | 0.0147986 | − | 0.244649i | ||||
\(120\) | −0.657172 | + | 7.50797i | −0.0599913 | + | 0.685381i | ||||
\(121\) | −3.68230 | + | 9.70943i | −0.334755 | + | 0.882676i | ||||
\(122\) | −16.9687 | + | 15.0330i | −1.53627 | + | 1.36102i | ||||
\(123\) | 2.02269 | − | 1.69710i | 0.182380 | − | 0.153022i | ||||
\(124\) | −18.9761 | + | 4.67719i | −1.70411 | + | 0.420024i | ||||
\(125\) | −9.56238 | − | 7.49164i | −0.855285 | − | 0.670073i | ||||
\(126\) | 6.40040 | + | 20.0701i | 0.570193 | + | 1.78798i | ||||
\(127\) | −10.6995 | + | 1.29915i | −0.949426 | + | 0.115281i | −0.580575 | − | 0.814207i | \(-0.697172\pi\) |
−0.368852 | + | 0.929488i | \(0.620249\pi\) | |||||||
\(128\) | 4.75437 | − | 15.2573i | 0.420231 | − | 1.34857i | ||||
\(129\) | −3.04237 | − | 13.9473i | −0.267866 | − | 1.22799i | ||||
\(130\) | 23.1368 | − | 12.1431i | 2.02923 | − | 1.06502i | ||||
\(131\) | −22.1094 | + | 4.05170i | −1.93171 | + | 0.353999i | −0.999959 | − | 0.00909634i | \(-0.997105\pi\) |
−0.931752 | + | 0.363095i | \(0.881720\pi\) | |||||||
\(132\) | 4.11058 | − | 0.137851i | 0.357780 | − | 0.0119984i | ||||
\(133\) | 11.3318 | − | 2.07662i | 0.982589 | − | 0.180066i | ||||
\(134\) | −31.9163 | − | 1.93058i | −2.75715 | − | 0.166777i | ||||
\(135\) | 5.90370 | + | 7.85841i | 0.508110 | + | 0.676345i | ||||
\(136\) | −0.118561 | − | 1.96005i | −0.0101665 | − | 0.168073i | ||||
\(137\) | −8.61461 | + | 6.74912i | −0.735996 | + | 0.576616i | −0.913177 | − | 0.407562i | \(-0.866379\pi\) |
0.177182 | + | 0.984178i | \(0.443302\pi\) | |||||||
\(138\) | −12.4238 | + | 11.7729i | −1.05758 | + | 1.00218i | ||||
\(139\) | −11.7462 | − | 7.10080i | −0.996296 | − | 0.602282i | −0.0774910 | − | 0.996993i | \(-0.524691\pi\) |
−0.918805 | + | 0.394711i | \(0.870845\pi\) | |||||||
\(140\) | 15.8751 | + | 8.33191i | 1.34169 | + | 0.704175i | ||||
\(141\) | 5.55964 | − | 0.865031i | 0.468206 | − | 0.0728488i | ||||
\(142\) | 0.661572 | − | 10.9371i | 0.0555179 | − | 0.917820i | ||||
\(143\) | −2.74663 | − | 3.97918i | −0.229685 | − | 0.332756i | ||||
\(144\) | −1.11819 | − | 2.44114i | −0.0931827 | − | 0.203428i | ||||
\(145\) | 1.95418i | 0.162286i | ||||||||
\(146\) | 10.7270 | + | 15.5407i | 0.887770 | + | 1.28616i | ||||
\(147\) | 4.84933 | + | 0.424461i | 0.399966 | + | 0.0350090i | ||||
\(148\) | 12.5329 | − | 14.1468i | 1.03020 | − | 1.16286i | ||||
\(149\) | 1.79388 | + | 2.96743i | 0.146960 | + | 0.243102i | 0.920585 | − | 0.390542i | \(-0.127712\pi\) |
−0.773625 | + | 0.633644i | \(0.781559\pi\) | |||||||
\(150\) | −5.46125 | − | 0.812670i | −0.445909 | − | 0.0663542i | ||||
\(151\) | −6.57812 | − | 1.20548i | −0.535319 | − | 0.0981009i | −0.0942068 | − | 0.995553i | \(-0.530031\pi\) |
−0.441113 | + | 0.897452i | \(0.645416\pi\) | |||||||
\(152\) | 8.07785 | − | 2.51716i | 0.655200 | − | 0.204169i | ||||
\(153\) | −1.82277 | − | 1.79876i | −0.147363 | − | 0.145421i | ||||
\(154\) | 1.95394 | − | 5.15211i | 0.157453 | − | 0.415169i | ||||
\(155\) | 2.20215 | + | 12.0168i | 0.176881 | + | 0.965209i | ||||
\(156\) | 17.4446 | − | 27.1783i | 1.39668 | − | 2.17600i | ||||
\(157\) | −6.16621 | + | 10.9077i | −0.492117 | + | 0.870529i | ||||
\(158\) | − | 22.2135i | − | 1.76721i | ||||||
\(159\) | 16.3049 | + | 6.69045i | 1.29306 | + | 0.530587i | ||||
\(160\) | −11.6860 | − | 4.43190i | −0.923856 | − | 0.350372i | ||||
\(161\) | 4.89566 | + | 12.9088i | 0.385832 | + | 1.01736i | ||||
\(162\) | 18.5076 | + | 8.03618i | 1.45410 | + | 0.631382i | ||||
\(163\) | 1.70465 | − | 9.30197i | 0.133518 | − | 0.728587i | −0.846914 | − | 0.531730i | \(-0.821542\pi\) |
0.980432 | − | 0.196857i | \(-0.0630733\pi\) | |||||||
\(164\) | −1.89322 | − | 4.20656i | −0.147836 | − | 0.328477i | ||||
\(165\) | 0.0691299 | − | 2.57002i | 0.00538176 | − | 0.200075i | ||||
\(166\) | 19.8781 | + | 17.6104i | 1.54284 | + | 1.36683i | ||||
\(167\) | −12.7023 | + | 6.66667i | −0.982932 | + | 0.515882i | −0.878033 | − | 0.478600i | \(-0.841144\pi\) |
−0.104899 | + | 0.994483i | \(0.533452\pi\) | |||||||
\(168\) | 12.4725 | − | 0.418275i | 0.962278 | − | 0.0322706i | ||||
\(169\) | −24.9657 | −1.92044 | ||||||||
\(170\) | −3.61998 | −0.277640 | ||||||||
\(171\) | 5.64575 | − | 9.48064i | 0.431741 | − | 0.725003i | ||||
\(172\) | −24.8949 | − | 1.50586i | −1.89822 | − | 0.114821i | ||||
\(173\) | −1.60007 | − | 1.80611i | −0.121651 | − | 0.137316i | 0.684530 | − | 0.728985i | \(-0.260008\pi\) |
−0.806181 | + | 0.591669i | \(0.798469\pi\) | |||||||
\(174\) | 1.98228 | + | 3.48759i | 0.150276 | + | 0.264394i | ||||
\(175\) | −2.30405 | + | 3.81136i | −0.174170 | + | 0.288112i | ||||
\(176\) | −0.168078 | + | 0.681918i | −0.0126693 | + | 0.0514015i | ||||
\(177\) | −2.03319 | − | 21.5802i | −0.152824 | − | 1.62206i | ||||
\(178\) | 14.4515 | − | 0.874152i | 1.08318 | − | 0.0655205i | ||||
\(179\) | 0.752163 | + | 0.752163i | 0.0562193 | + | 0.0562193i | 0.734657 | − | 0.678438i | \(-0.237343\pi\) |
−0.678438 | + | 0.734657i | \(0.737343\pi\) | |||||||
\(180\) | 16.0156 | − | 6.19569i | 1.19373 | − | 0.461799i | ||||
\(181\) | −0.729320 | − | 3.97977i | −0.0542099 | − | 0.295814i | 0.945331 | − | 0.326112i | \(-0.105739\pi\) |
−0.999541 | + | 0.0302985i | \(0.990354\pi\) | |||||||
\(182\) | −24.5784 | − | 35.6079i | −1.82187 | − | 2.63943i | ||||
\(183\) | 16.2034 | + | 6.64881i | 1.19779 | + | 0.491494i | ||||
\(184\) | 4.71205 | + | 8.97807i | 0.347377 | + | 0.661872i | ||||
\(185\) | −8.35391 | − | 8.35391i | −0.614192 | − | 0.614192i | ||||
\(186\) | 16.1197 | + | 19.2123i | 1.18195 | + | 1.40871i | ||||
\(187\) | 0.0807406 | + | 0.664958i | 0.00590433 | + | 0.0486266i | ||||
\(188\) | 1.18489 | − | 9.75847i | 0.0864172 | − | 0.711710i | ||||
\(189\) | 11.7391 | − | 11.2728i | 0.853895 | − | 0.819975i | ||||
\(190\) | −3.73282 | − | 15.1446i | −0.270807 | − | 1.09871i | ||||
\(191\) | 1.03199 | + | 0.321582i | 0.0746723 | + | 0.0232688i | 0.334612 | − | 0.942356i | \(-0.391395\pi\) |
−0.259939 | + | 0.965625i | \(0.583703\pi\) | |||||||
\(192\) | −22.2877 | + | 3.46778i | −1.60848 | + | 0.250265i | ||||
\(193\) | −5.62814 | − | 2.13447i | −0.405123 | − | 0.153643i | 0.143622 | − | 0.989633i | \(-0.454125\pi\) |
−0.548745 | + | 0.835990i | \(0.684894\pi\) | |||||||
\(194\) | 0.178462 | + | 0.340031i | 0.0128128 | + | 0.0244128i | ||||
\(195\) | −16.2996 | − | 11.9104i | −1.16724 | − | 0.852920i | ||||
\(196\) | 3.01580 | − | 7.95202i | 0.215414 | − | 0.568001i | ||||
\(197\) | 16.8449 | − | 19.0139i | 1.20015 | − | 1.35469i | 0.281523 | − | 0.959554i | \(-0.409160\pi\) |
0.918624 | − | 0.395132i | \(-0.129301\pi\) | |||||||
\(198\) | −2.48359 | − | 4.65678i | −0.176501 | − | 0.330943i | ||||
\(199\) | 1.58082 | + | 6.41364i | 0.112061 | + | 0.454651i | 0.999986 | − | 0.00533864i | \(-0.00169935\pi\) |
−0.887924 | + | 0.459989i | \(0.847853\pi\) | |||||||
\(200\) | −1.34242 | + | 2.98273i | −0.0949232 | + | 0.210911i | ||||
\(201\) | 9.52910 | + | 22.7913i | 0.672131 | + | 1.60757i | ||||
\(202\) | −16.9402 | − | 7.62418i | −1.19191 | − | 0.536436i | ||||
\(203\) | 3.21223 | − | 0.390035i | 0.225454 | − | 0.0273751i | ||||
\(204\) | −3.88971 | + | 2.21083i | −0.272334 | + | 0.154789i | ||||
\(205\) | −2.69615 | + | 1.02252i | −0.188308 | + | 0.0714157i | ||||
\(206\) | −8.78955 | − | 7.78686i | −0.612397 | − | 0.542536i | ||||
\(207\) | 12.3949 | + | 4.60700i | 0.861507 | + | 0.320208i | ||||
\(208\) | 3.65697 | + | 4.12787i | 0.253565 | + | 0.286216i | ||||
\(209\) | −2.69868 | + | 1.02347i | −0.186672 | + | 0.0707952i | ||||
\(210\) | 0.618613 | − | 22.9979i | 0.0426883 | − | 1.58701i | ||||
\(211\) | 14.5973 | − | 11.4362i | 1.00492 | − | 0.787303i | 0.0277158 | − | 0.999616i | \(-0.491177\pi\) |
0.977202 | + | 0.212313i | \(0.0680997\pi\) | |||||||
\(212\) | 18.9895 | − | 24.2384i | 1.30421 | − | 1.66470i | ||||
\(213\) | −7.81011 | + | 3.26543i | −0.535140 | + | 0.223744i | ||||
\(214\) | −4.78736 | − | 3.30448i | −0.327257 | − | 0.225889i | ||||
\(215\) | −1.87918 | + | 15.4765i | −0.128159 | + | 1.05549i | ||||
\(216\) | 7.56073 | − | 9.25790i | 0.514443 | − | 0.629920i | ||||
\(217\) | 19.3133 | − | 6.01825i | 1.31107 | − | 0.408546i | ||||
\(218\) | −0.411780 | − | 0.681168i | −0.0278893 | − | 0.0461345i | ||||
\(219\) | 7.12474 | − | 12.7309i | 0.481445 | − | 0.860277i | ||||
\(220\) | −4.28833 | − | 1.33630i | −0.289119 | − | 0.0900932i | ||||
\(221\) | 4.65724 | + | 2.44431i | 0.313280 | + | 0.164422i | ||||
\(222\) | −23.3831 | − | 6.43505i | −1.56937 | − | 0.431892i | ||||
\(223\) | 14.7514 | − | 6.63906i | 0.987826 | − | 0.444584i | 0.148913 | − | 0.988850i | \(-0.452423\pi\) |
0.838913 | + | 0.544266i | \(0.183192\pi\) | |||||||
\(224\) | −4.95263 | + | 20.0936i | −0.330911 | + | 1.34256i | ||||
\(225\) | 1.29605 | + | 4.06408i | 0.0864031 | + | 0.270939i | ||||
\(226\) | −24.2525 | − | 10.9152i | −1.61325 | − | 0.726066i | ||||
\(227\) | −7.92778 | + | 10.1191i | −0.526186 | + | 0.671626i | −0.975053 | − | 0.221972i | \(-0.928751\pi\) |
0.448867 | + | 0.893598i | \(0.351828\pi\) | |||||||
\(228\) | −13.2603 | − | 13.9933i | −0.878182 | − | 0.926732i | ||||
\(229\) | −1.07850 | + | 5.88521i | −0.0712696 | + | 0.388905i | 0.928573 | + | 0.371150i | \(0.121037\pi\) |
−0.999842 | + | 0.0177551i | \(0.994348\pi\) | |||||||
\(230\) | 17.0455 | − | 7.67155i | 1.12395 | − | 0.505847i | ||||
\(231\) | −4.23831 | + | 0.399315i | −0.278861 | + | 0.0262730i | ||||
\(232\) | 2.30742 | − | 0.568728i | 0.151489 | − | 0.0373388i | ||||
\(233\) | 2.79900 | + | 23.0518i | 0.183369 | + | 1.51018i | 0.736132 | + | 0.676838i | \(0.236650\pi\) |
−0.552764 | + | 0.833338i | \(0.686427\pi\) | |||||||
\(234\) | −41.1712 | − | 4.72228i | −2.69145 | − | 0.308705i | ||||
\(235\) | −6.04412 | − | 1.10763i | −0.394275 | − | 0.0722536i | ||||
\(236\) | −37.2495 | − | 6.82622i | −2.42473 | − | 0.444349i | ||||
\(237\) | −15.4050 | + | 7.56400i | −1.00066 | + | 0.491334i | ||||
\(238\) | 0.722511 | + | 5.95041i | 0.0468334 | + | 0.385708i | ||||
\(239\) | 22.8100 | − | 5.62217i | 1.47546 | − | 0.363668i | 0.582138 | − | 0.813090i | \(-0.302216\pi\) |
0.893320 | + | 0.449422i | \(0.148370\pi\) | |||||||
\(240\) | 0.275057 | + | 2.91944i | 0.0177548 | + | 0.188449i | ||||
\(241\) | 14.3116 | − | 6.44111i | 0.921888 | − | 0.414908i | 0.106824 | − | 0.994278i | \(-0.465932\pi\) |
0.815065 | + | 0.579370i | \(0.196701\pi\) | |||||||
\(242\) | 4.19640 | − | 22.8990i | 0.269755 | − | 1.47200i | ||||
\(243\) | −0.729038 | − | 15.5714i | −0.0467678 | − | 0.998906i | ||||
\(244\) | 18.8713 | − | 24.0875i | 1.20811 | − | 1.54204i | ||||
\(245\) | −4.84787 | − | 2.18185i | −0.309719 | − | 0.139393i | ||||
\(246\) | −3.77456 | + | 4.55978i | −0.240657 | + | 0.290721i | ||||
\(247\) | −5.42366 | + | 22.0047i | −0.345099 | + | 1.40012i | ||||
\(248\) | 13.5480 | − | 6.09746i | 0.860299 | − | 0.387189i | ||||
\(249\) | 5.44401 | − | 19.7820i | 0.345000 | − | 1.25363i | ||||
\(250\) | 24.1141 | + | 12.6561i | 1.52511 | + | 0.800440i | ||||
\(251\) | 23.9309 | + | 7.45719i | 1.51051 | + | 0.470693i | 0.937243 | − | 0.348677i | \(-0.113369\pi\) |
0.573265 | + | 0.819370i | \(0.305677\pi\) | |||||||
\(252\) | −13.3808 | − | 25.0893i | −0.842913 | − | 1.58048i | ||||
\(253\) | −1.78938 | − | 2.96000i | −0.112497 | − | 0.186094i | ||||
\(254\) | 23.0692 | − | 7.18865i | 1.44749 | − | 0.451056i | ||||
\(255\) | 1.23265 | + | 2.51044i | 0.0771917 | + | 0.157210i | ||||
\(256\) | −1.17911 | + | 9.71083i | −0.0736943 | + | 0.606927i | ||||
\(257\) | 24.8872 | + | 17.1784i | 1.55242 | + | 1.07156i | 0.964990 | + | 0.262285i | \(0.0844762\pi\) |
0.587431 | + | 0.809274i | \(0.300139\pi\) | |||||||
\(258\) | 12.3452 | + | 29.5267i | 0.768580 | + | 1.83825i | ||||
\(259\) | −12.0646 | + | 15.3993i | −0.749655 | + | 0.956864i | ||||
\(260\) | −27.7637 | + | 21.7515i | −1.72183 | + | 1.34897i | ||||
\(261\) | 1.74364 | − | 2.56228i | 0.107929 | − | 0.158601i | ||||
\(262\) | 47.1177 | − | 17.8694i | 2.91094 | − | 1.10397i | ||||
\(263\) | −15.9301 | − | 17.9814i | −0.982295 | − | 1.10878i | −0.994058 | − | 0.108851i | \(-0.965283\pi\) |
0.0117634 | − | 0.999931i | \(-0.496256\pi\) | |||||||
\(264\) | −3.05469 | + | 0.666328i | −0.188003 | + | 0.0410097i | ||||
\(265\) | −14.4069 | − | 12.7634i | −0.885010 | − | 0.784051i | ||||
\(266\) | −24.1493 | + | 9.15861i | −1.48069 | + | 0.561551i | ||||
\(267\) | −5.52714 | − | 9.72437i | −0.338255 | − | 0.595122i | ||||
\(268\) | 42.8443 | − | 5.20224i | 2.61713 | − | 0.317778i | ||||
\(269\) | −3.06889 | − | 1.38119i | −0.187113 | − | 0.0842129i | 0.314690 | − | 0.949194i | \(-0.398099\pi\) |
−0.501804 | + | 0.864981i | \(0.667330\pi\) | |||||||
\(270\) | −16.1943 | − | 14.9434i | −0.985556 | − | 0.909424i | ||||
\(271\) | −5.72273 | + | 12.7154i | −0.347631 | + | 0.772405i | 0.652265 | + | 0.757991i | \(0.273819\pi\) |
−0.999896 | + | 0.0144138i | \(0.995412\pi\) | |||||||
\(272\) | −0.182839 | − | 0.741807i | −0.0110862 | − | 0.0449787i | ||||
\(273\) | −16.3247 | + | 29.1700i | −0.988015 | + | 1.76545i | ||||
\(274\) | 16.2693 | − | 18.3642i | 0.982862 | − | 1.10942i | ||||
\(275\) | 0.395662 | − | 1.04327i | 0.0238593 | − | 0.0629118i | ||||
\(276\) | 13.6303 | − | 18.6534i | 0.820449 | − | 1.12280i | ||||
\(277\) | −12.7789 | − | 24.3481i | −0.767809 | − | 1.46294i | −0.882889 | − | 0.469581i | \(-0.844405\pi\) |
0.115080 | − | 0.993356i | \(-0.463287\pi\) | |||||||
\(278\) | 28.7718 | + | 10.9117i | 1.72562 | + | 0.654440i | ||||
\(279\) | 7.83467 | − | 17.7210i | 0.469049 | − | 1.06093i | ||||
\(280\) | −13.0119 | − | 4.05467i | −0.777609 | − | 0.242313i | ||||
\(281\) | −2.94865 | − | 11.9631i | −0.175902 | − | 0.713661i | −0.990946 | − | 0.134262i | \(-0.957134\pi\) |
0.815044 | − | 0.579399i | \(-0.196713\pi\) | |||||||
\(282\) | −11.9104 | + | 4.15426i | −0.709253 | + | 0.247382i | ||||
\(283\) | −0.687598 | + | 5.66288i | −0.0408735 | + | 0.336623i | 0.957900 | + | 0.287103i | \(0.0926923\pi\) |
−0.998773 | + | 0.0495201i | \(0.984231\pi\) | |||||||
\(284\) | 1.78270 | + | 14.6819i | 0.105784 | + | 0.871210i | ||||
\(285\) | −9.23168 | + | 7.74566i | −0.546838 | + | 0.458813i | ||||
\(286\) | 7.66482 | + | 7.66482i | 0.453230 | + | 0.453230i | ||||
\(287\) | 2.21891 | + | 4.22778i | 0.130978 | + | 0.249558i | ||||
\(288\) | 11.3679 | + | 16.2379i | 0.669862 | + | 0.956828i | ||||
\(289\) | 9.24317 | + | 13.3910i | 0.543716 | + | 0.787708i | ||||
\(290\) | −0.789709 | − | 4.30930i | −0.0463733 | − | 0.253051i | ||||
\(291\) | 0.175042 | − | 0.239548i | 0.0102611 | − | 0.0140426i | ||||
\(292\) | −18.0231 | − | 18.0231i | −1.05472 | − | 1.05472i | ||||
\(293\) | −15.4932 | + | 0.937167i | −0.905124 | + | 0.0547499i | −0.506378 | − | 0.862312i | \(-0.669016\pi\) |
−0.398746 | + | 0.917062i | \(0.630554\pi\) | |||||||
\(294\) | −10.8651 | + | 1.02366i | −0.633667 | + | 0.0597013i | ||||
\(295\) | −5.66513 | + | 22.9843i | −0.329837 | + | 1.33820i | ||||
\(296\) | −7.43271 | + | 12.2952i | −0.432018 | + | 0.714645i | ||||
\(297\) | −2.38376 | + | 3.30806i | −0.138320 | + | 0.191953i | ||||
\(298\) | −5.15498 | − | 5.81877i | −0.298620 | − | 0.337072i | ||||
\(299\) | −27.1097 | − | 1.63984i | −1.56780 | − | 0.0948341i | ||||
\(300\) | 7.44850 | − | 0.249790i | 0.430040 | − | 0.0144217i | ||||
\(301\) | 25.8148 | 1.48794 | ||||||||
\(302\) | 14.9930 | 0.862750 | ||||||||
\(303\) | 0.481040 | + | 14.3441i | 0.0276350 | + | 0.824049i | ||||
\(304\) | 2.91491 | − | 1.52986i | 0.167181 | − | 0.0877436i | ||||
\(305\) | −14.3172 | − | 12.6840i | −0.819803 | − | 0.726282i | ||||
\(306\) | 4.74643 | + | 3.22996i | 0.271335 | + | 0.184645i | ||||
\(307\) | −3.88087 | − | 8.62294i | −0.221493 | − | 0.492137i | 0.767326 | − | 0.641257i | \(-0.221587\pi\) |
−0.988819 | + | 0.149120i | \(0.952356\pi\) | |||||||
\(308\) | −1.34066 | + | 7.31574i | −0.0763912 | + | 0.416853i | ||||
\(309\) | −2.40720 | + | 8.74706i | −0.136941 | + | 0.497603i | ||||
\(310\) | −9.71223 | − | 25.6090i | −0.551618 | − | 1.45450i | ||||
\(311\) | 9.79517 | + | 3.71482i | 0.555433 | + | 0.210648i | 0.616319 | − | 0.787497i | \(-0.288623\pi\) |
−0.0608856 | + | 0.998145i | \(0.519392\pi\) | |||||||
\(312\) | −9.31960 | + | 22.7122i | −0.527619 | + | 1.28583i | ||||
\(313\) | − | 1.51782i | − | 0.0857922i | −0.999080 | − | 0.0428961i | \(-0.986342\pi\) | ||
0.999080 | − | 0.0428961i | \(-0.0136584\pi\) | |||||||
\(314\) | 9.18960 | − | 26.5452i | 0.518599 | − | 1.49803i | ||||
\(315\) | −16.1596 | + | 7.40210i | −0.910491 | + | 0.417061i | ||||
\(316\) | 5.40467 | + | 29.4923i | 0.304036 | + | 1.65907i | ||||
\(317\) | −5.58529 | + | 14.7272i | −0.313701 | + | 0.827162i | 0.681723 | + | 0.731610i | \(0.261231\pi\) |
−0.995424 | + | 0.0955520i | \(0.969538\pi\) | |||||||
\(318\) | −38.6587 | − | 8.16458i | −2.16787 | − | 0.457847i | ||||
\(319\) | −0.773967 | + | 0.241178i | −0.0433338 | + | 0.0135034i | ||||
\(320\) | 24.2299 | + | 4.44030i | 1.35450 | + | 0.248220i | ||||
\(321\) | −0.661481 | + | 4.44524i | −0.0369203 | + | 0.248109i | ||||
\(322\) | −16.0124 | − | 26.4877i | −0.892335 | − | 1.47610i | ||||
\(323\) | 2.08202 | − | 2.35012i | 0.115847 | − | 0.130764i | ||||
\(324\) | −26.5274 | − | 6.16644i | −1.47374 | − | 0.342580i | ||||
\(325\) | −4.97699 | − | 7.21041i | −0.276074 | − | 0.399962i | ||||
\(326\) | 21.2013i | 1.17423i | ||||||||
\(327\) | −0.332171 | + | 0.517515i | −0.0183691 | + | 0.0286187i | ||||
\(328\) | 1.99201 | + | 2.88593i | 0.109990 | + | 0.159349i | ||||
\(329\) | −0.614338 | + | 10.1562i | −0.0338696 | + | 0.559930i | ||||
\(330\) | 0.886131 | + | 5.69525i | 0.0487799 | + | 0.313513i | ||||
\(331\) | 28.7882 | + | 15.1092i | 1.58234 | + | 0.830476i | 0.999844 | + | 0.0176429i | \(0.00561619\pi\) |
0.582496 | + | 0.812833i | \(0.302076\pi\) | |||||||
\(332\) | −30.6764 | − | 18.5445i | −1.68358 | − | 1.01776i | ||||
\(333\) | 3.49958 | + | 18.4073i | 0.191776 | + | 1.00871i | ||||
\(334\) | 25.3166 | − | 19.8343i | 1.38526 | − | 1.08528i | ||||
\(335\) | −1.62892 | − | 26.9292i | −0.0889974 | − | 1.47130i | ||||
\(336\) | 4.74399 | − | 1.03482i | 0.258806 | − | 0.0564541i | ||||
\(337\) | 7.07387 | + | 0.427890i | 0.385338 | + | 0.0233087i | 0.251912 | − | 0.967750i | \(-0.418941\pi\) |
0.133426 | + | 0.991059i | \(0.457402\pi\) | |||||||
\(338\) | 55.0536 | − | 10.0890i | 2.99452 | − | 0.548767i | ||||
\(339\) | 0.688681 | + | 20.5358i | 0.0374040 | + | 1.11535i | ||||
\(340\) | 4.80616 | − | 0.880762i | 0.260651 | − | 0.0477660i | ||||
\(341\) | −4.48754 | + | 2.35524i | −0.243014 | + | 0.127543i | ||||
\(342\) | −8.61859 | + | 23.1879i | −0.466040 | + | 1.25386i | ||||
\(343\) | 3.90393 | − | 12.5282i | 0.210792 | − | 0.676457i | ||||
\(344\) | 18.8209 | − | 2.28527i | 1.01475 | − | 0.123213i | ||||
\(345\) | −11.1244 | − | 9.20872i | −0.598918 | − | 0.495781i | ||||
\(346\) | 4.25829 | + | 3.33616i | 0.228927 | + | 0.179353i | ||||
\(347\) | 16.8939 | − | 4.16398i | 0.906914 | − | 0.223534i | 0.241844 | − | 0.970315i | \(-0.422248\pi\) |
0.665070 | + | 0.746781i | \(0.268402\pi\) | |||||||
\(348\) | −3.48038 | − | 4.14810i | −0.186568 | − | 0.222361i | ||||
\(349\) | 5.79549 | − | 5.13436i | 0.310225 | − | 0.274836i | −0.493615 | − | 0.869680i | \(-0.664325\pi\) |
0.803841 | + | 0.594845i | \(0.202786\pi\) | |||||||
\(350\) | 3.54060 | − | 9.33579i | 0.189253 | − | 0.499019i | ||||
\(351\) | 10.7445 | + | 30.1601i | 0.573498 | + | 1.60983i | ||||
\(352\) | 0.313046 | − | 5.17527i | 0.0166854 | − | 0.275843i | ||||
\(353\) | −10.6725 | − | 4.04753i | −0.568038 | − | 0.215428i | 0.0538305 | − | 0.998550i | \(-0.482857\pi\) |
−0.621868 | + | 0.783122i | \(0.713626\pi\) | |||||||
\(354\) | 13.2043 | + | 46.7663i | 0.701802 | + | 2.48560i | ||||
\(355\) | 9.22811 | − | 0.558198i | 0.489777 | − | 0.0296261i | ||||
\(356\) | −18.9742 | + | 4.67672i | −1.00563 | + | 0.247865i | ||||
\(357\) | 3.88057 | − | 2.52726i | 0.205381 | − | 0.133757i | ||||
\(358\) | −1.96260 | − | 1.35469i | −0.103727 | − | 0.0715975i | ||||
\(359\) | 11.6059 | − | 25.7873i | 0.612536 | − | 1.36100i | −0.300758 | − | 0.953700i | \(-0.597240\pi\) |
0.913295 | − | 0.407299i | \(-0.133529\pi\) | |||||||
\(360\) | −11.1263 | + | 6.82721i | −0.586406 | + | 0.359825i | ||||
\(361\) | −4.84472 | − | 2.54271i | −0.254985 | − | 0.133827i | ||||
\(362\) | 3.21655 | + | 8.48134i | 0.169058 | + | 0.445769i | ||||
\(363\) | −17.3093 | + | 4.88724i | −0.908503 | + | 0.256513i | ||||
\(364\) | 41.2958 | + | 41.2958i | 2.16449 | + | 2.16449i | ||||
\(365\) | −11.9258 | + | 10.5654i | −0.624226 | + | 0.553016i | ||||
\(366\) | −38.4180 | − | 8.11376i | −2.00814 | − | 0.424113i | ||||
\(367\) | −2.67644 | − | 4.42738i | −0.139709 | − | 0.231107i | 0.778089 | − | 0.628154i | \(-0.216189\pi\) |
−0.917799 | + | 0.397046i | \(0.870035\pi\) | |||||||
\(368\) | 2.43300 | + | 3.10549i | 0.126829 | + | 0.161885i | ||||
\(369\) | 4.44748 | + | 1.06497i | 0.231527 | + | 0.0554403i | ||||
\(370\) | 21.7977 | + | 15.0459i | 1.13321 | + | 0.782198i | ||||
\(371\) | −18.1047 | + | 26.2291i | −0.939947 | + | 1.36175i | ||||
\(372\) | −26.0762 | − | 21.5857i | −1.35199 | − | 1.11916i | ||||
\(373\) | −4.02932 | + | 6.66532i | −0.208631 | + | 0.345117i | −0.942519 | − | 0.334153i | \(-0.891550\pi\) |
0.733888 | + | 0.679270i | \(0.237704\pi\) | |||||||
\(374\) | −0.446764 | − | 1.43372i | −0.0231016 | − | 0.0741357i | ||||
\(375\) | 0.565749 | − | 21.0326i | 0.0292152 | − | 1.08612i | ||||
\(376\) | 0.451187 | + | 7.45901i | 0.0232682 | + | 0.384669i | ||||
\(377\) | −1.89377 | + | 6.07732i | −0.0975340 | + | 0.312998i | ||||
\(378\) | −21.3312 | + | 29.6023i | −1.09716 | + | 1.52258i | ||||
\(379\) | −5.18421 | − | 16.6367i | −0.266295 | − | 0.854570i | −0.986915 | − | 0.161240i | \(-0.948451\pi\) |
0.720620 | − | 0.693330i | \(-0.243857\pi\) | |||||||
\(380\) | 8.64076 | + | 19.1990i | 0.443262 | + | 0.984887i | ||||
\(381\) | −12.8407 | − | 13.5506i | −0.657848 | − | 0.694216i | ||||
\(382\) | −2.40567 | − | 0.292101i | −0.123085 | − | 0.0149452i | ||||
\(383\) | −9.10690 | + | 20.2347i | −0.465341 | + | 1.03395i | 0.518529 | + | 0.855060i | \(0.326480\pi\) |
−0.983870 | + | 0.178885i | \(0.942751\pi\) | |||||||
\(384\) | 26.1356 | − | 9.11592i | 1.33373 | − | 0.465195i | ||||
\(385\) | 4.51409 | + | 1.11262i | 0.230059 | + | 0.0567045i | ||||
\(386\) | 13.2736 | + | 2.43247i | 0.675607 | + | 0.123810i | ||||
\(387\) | 16.2730 | − | 18.6156i | 0.827201 | − | 0.946285i | ||||
\(388\) | −0.319672 | − | 0.408031i | −0.0162289 | − | 0.0207146i | ||||
\(389\) | −5.18323 | − | 21.0292i | −0.262800 | − | 1.06622i | −0.942893 | − | 0.333096i | \(-0.891907\pi\) |
0.680093 | − | 0.733126i | \(-0.261940\pi\) | |||||||
\(390\) | 40.7565 | + | 19.6775i | 2.06379 | + | 0.996410i | ||||
\(391\) | 3.21996 | + | 1.94654i | 0.162841 | + | 0.0984405i | ||||
\(392\) | −1.16536 | + | 6.35916i | −0.0588595 | + | 0.321186i | ||||
\(393\) | −28.4366 | − | 26.5912i | −1.43444 | − | 1.34135i | ||||
\(394\) | −29.4620 | + | 48.7361i | −1.48428 | + | 2.45529i | ||||
\(395\) | 18.6058 | − | 2.25916i | 0.936162 | − | 0.113671i | ||||
\(396\) | 4.43043 | + | 5.57843i | 0.222637 | + | 0.280327i | ||||
\(397\) | −5.21706 | + | 4.08731i | −0.261837 | + | 0.205136i | −0.739048 | − | 0.673652i | \(-0.764724\pi\) |
0.477211 | + | 0.878788i | \(0.341648\pi\) | |||||||
\(398\) | −6.07780 | − | 13.5043i | −0.304653 | − | 0.676911i | ||||
\(399\) | 14.5746 | + | 13.6288i | 0.729644 | + | 0.682294i | ||||
\(400\) | −0.304562 | + | 1.23566i | −0.0152281 | + | 0.0617829i | ||||
\(401\) | −30.1435 | − | 23.6159i | −1.50530 | − | 1.17932i | −0.933316 | − | 0.359057i | \(-0.883099\pi\) |
−0.571980 | − | 0.820267i | \(-0.693825\pi\) | |||||||
\(402\) | −30.2235 | − | 46.4078i | −1.50741 | − | 2.31461i | ||||
\(403\) | −4.79678 | + | 39.5050i | −0.238944 | + | 1.96788i | ||||
\(404\) | 24.3462 | + | 6.00079i | 1.21127 | + | 0.298551i | ||||
\(405\) | −4.84878 | + | 16.3191i | −0.240938 | + | 0.810905i | ||||
\(406\) | −6.92588 | + | 2.15819i | −0.343726 | + | 0.107109i | ||||
\(407\) | 2.27762 | − | 4.33963i | 0.112897 | − | 0.215108i | ||||
\(408\) | 2.60549 | − | 2.18608i | 0.128991 | − | 0.108227i | ||||
\(409\) | 16.0909 | − | 0.973318i | 0.795642 | − | 0.0481275i | 0.342445 | − | 0.939538i | \(-0.388745\pi\) |
0.453197 | + | 0.891410i | \(0.350283\pi\) | |||||||
\(410\) | 5.53226 | − | 3.34437i | 0.273219 | − | 0.165167i | ||||
\(411\) | −18.2754 | − | 5.02942i | −0.901460 | − | 0.248083i | ||||
\(412\) | 13.5643 | + | 8.19989i | 0.668264 | + | 0.403980i | ||||
\(413\) | 38.9117 | + | 4.72473i | 1.91472 | + | 0.232489i | ||||
\(414\) | −29.1946 | − | 5.15027i | −1.43484 | − | 0.253122i | ||||
\(415\) | −12.7287 | + | 18.4407i | −0.624828 | + | 0.905220i | ||||
\(416\) | −32.0473 | − | 25.1075i | −1.57125 | − | 1.23099i | ||||
\(417\) | −2.22996 | − | 23.6687i | −0.109202 | − | 1.15906i | ||||
\(418\) | 5.53745 | − | 3.34750i | 0.270845 | − | 0.163732i | ||||
\(419\) | 7.13183 | + | 18.8051i | 0.348413 | + | 0.918689i | 0.988613 | + | 0.150481i | \(0.0480822\pi\) |
−0.640200 | + | 0.768208i | \(0.721149\pi\) | |||||||
\(420\) | 4.77421 | + | 30.6843i | 0.232958 | + | 1.49724i | ||||
\(421\) | 15.1102 | − | 15.1102i | 0.736426 | − | 0.736426i | −0.235458 | − | 0.971884i | \(-0.575659\pi\) |
0.971884 | + | 0.235458i | \(0.0756591\pi\) | |||||||
\(422\) | −27.5679 | + | 31.1178i | −1.34199 | + | 1.51479i | ||||
\(423\) | 6.93661 | + | 6.84522i | 0.337270 | + | 0.332826i | ||||
\(424\) | −10.8777 | + | 20.7257i | −0.528266 | + | 1.00653i | ||||
\(425\) | 0.146305 | + | 1.20493i | 0.00709681 | + | 0.0584475i | ||||
\(426\) | 15.9030 | − | 10.3570i | 0.770503 | − | 0.501797i | ||||
\(427\) | −17.9920 | + | 26.0659i | −0.870692 | + | 1.26142i | ||||
\(428\) | 7.16007 | + | 3.22249i | 0.346095 | + | 0.155765i | ||||
\(429\) | 2.70555 | − | 7.92550i | 0.130625 | − | 0.382647i | ||||
\(430\) | −2.11031 | − | 34.8876i | −0.101768 | − | 1.68243i | ||||
\(431\) | 17.9240 | + | 15.8793i | 0.863371 | + | 0.764880i | 0.973415 | − | 0.229047i | \(-0.0735609\pi\) |
−0.110045 | + | 0.993927i | \(0.535099\pi\) | |||||||
\(432\) | 2.24425 | − | 4.07332i | 0.107977 | − | 0.195978i | ||||
\(433\) | −36.2786 | − | 2.19445i | −1.74344 | − | 0.105458i | −0.842304 | − | 0.539002i | \(-0.818801\pi\) |
−0.901132 | + | 0.433544i | \(0.857263\pi\) | |||||||
\(434\) | −40.1569 | + | 21.0760i | −1.92759 | + | 1.01168i | ||||
\(435\) | −2.71958 | + | 2.01504i | −0.130394 | + | 0.0966136i | ||||
\(436\) | 0.712444 | + | 0.804183i | 0.0341199 | + | 0.0385134i | ||||
\(437\) | −4.82325 | + | 15.4783i | −0.230727 | + | 0.740429i | ||||
\(438\) | −10.5665 | + | 30.9531i | −0.504888 | + | 1.47899i | ||||
\(439\) | −9.26693 | + | 11.8284i | −0.442287 | + | 0.564537i | −0.955978 | − | 0.293438i | \(-0.905201\pi\) |
0.513692 | + | 0.857975i | \(0.328278\pi\) | |||||||
\(440\) | 3.38959 | + | 0.411571i | 0.161593 | + | 0.0196209i | ||||
\(441\) | 4.40963 | + | 7.18635i | 0.209982 | + | 0.342207i | ||||
\(442\) | −11.2578 | − | 3.50807i | −0.535478 | − | 0.166862i | ||||
\(443\) | 25.0172 | − | 25.0172i | 1.18860 | − | 1.18860i | 0.211147 | − | 0.977454i | \(-0.432280\pi\) |
0.977454 | − | 0.211147i | \(-0.0677198\pi\) | |||||||
\(444\) | 32.6109 | + | 2.85443i | 1.54764 | + | 0.135465i | ||||
\(445\) | 2.20193 | + | 12.0155i | 0.104381 | + | 0.569591i | ||||
\(446\) | −29.8464 | + | 20.6015i | −1.41327 | + | 0.975507i | ||||
\(447\) | −2.27995 | + | 5.55633i | −0.107838 | + | 0.262805i | ||||
\(448\) | 2.46279 | − | 40.7147i | 0.116356 | − | 1.92359i | ||||
\(449\) | 23.9199 | − | 23.9199i | 1.12885 | − | 1.12885i | 0.138485 | − | 0.990364i | \(-0.455777\pi\) |
0.990364 | − | 0.138485i | \(-0.0442234\pi\) | |||||||
\(450\) | −4.50035 | − | 8.43824i | −0.212148 | − | 0.397782i | ||||
\(451\) | −0.737724 | − | 0.941635i | −0.0347381 | − | 0.0443399i | ||||
\(452\) | 34.8552 | + | 8.59105i | 1.63945 | + | 0.404089i | ||||
\(453\) | −5.10532 | − | 10.3976i | −0.239869 | − | 0.488522i | ||||
\(454\) | 13.3929 | − | 25.5180i | 0.628558 | − | 1.19762i | ||||
\(455\) | 27.3253 | − | 24.2081i | 1.28103 | − | 1.13489i | ||||
\(456\) | 11.8325 | + | 8.64617i | 0.554106 | + | 0.404894i | ||||
\(457\) | −15.2358 | + | 10.5165i | −0.712702 | + | 0.491943i | −0.868401 | − | 0.495862i | \(-0.834852\pi\) |
0.155699 | + | 0.987804i | \(0.450237\pi\) | |||||||
\(458\) | − | 13.4137i | − | 0.626782i | ||||||
\(459\) | 0.623746 | − | 4.39148i | 0.0291140 | − | 0.204977i | ||||
\(460\) | −20.7644 | + | 14.3326i | −0.968144 | + | 0.668261i | ||||
\(461\) | −2.51119 | − | 4.78468i | −0.116958 | − | 0.222845i | 0.819939 | − | 0.572451i | \(-0.194008\pi\) |
−0.936897 | + | 0.349607i | \(0.886315\pi\) | |||||||
\(462\) | 9.18483 | − | 2.59331i | 0.427317 | − | 0.120652i | ||||
\(463\) | −2.22936 | + | 1.34770i | −0.103607 | + | 0.0626327i | −0.568193 | − | 0.822896i | \(-0.692357\pi\) |
0.464586 | + | 0.885528i | \(0.346203\pi\) | |||||||
\(464\) | 0.843177 | − | 0.379483i | 0.0391435 | − | 0.0176171i | ||||
\(465\) | −14.4526 | + | 15.4556i | −0.670225 | + | 0.716738i | ||||
\(466\) | −15.4878 | − | 49.7021i | −0.717458 | − | 2.30240i | ||||
\(467\) | 24.7453 | − | 9.38466i | 1.14508 | − | 0.434270i | 0.292187 | − | 0.956361i | \(-0.405617\pi\) |
0.852890 | + | 0.522091i | \(0.174848\pi\) | |||||||
\(468\) | 55.8110 | − | 3.74753i | 2.57987 | − | 0.173230i | ||||
\(469\) | −43.9404 | + | 8.05238i | −2.02898 | + | 0.371824i | ||||
\(470\) | 13.7759 | 0.635435 | ||||||||
\(471\) | −21.5382 | + | 2.66604i | −0.992426 | + | 0.122844i | ||||
\(472\) | 28.7877 | 1.32506 | ||||||||
\(473\) | −6.36148 | + | 1.16578i | −0.292501 | + | 0.0536028i | ||||
\(474\) | 30.9139 | − | 22.9052i | 1.41992 | − | 1.05207i | ||||
\(475\) | −4.89010 | + | 1.85457i | −0.224373 | + | 0.0850935i | ||||
\(476\) | −2.40703 | − | 7.72444i | −0.110326 | − | 0.354049i | ||||
\(477\) | 7.50170 | + | 29.5898i | 0.343479 | + | 1.35482i | ||||
\(478\) | −48.0280 | + | 21.6156i | −2.19675 | + | 0.988676i | ||||
\(479\) | 29.3709 | − | 17.7553i | 1.34199 | − | 0.811262i | 0.349901 | − | 0.936787i | \(-0.386215\pi\) |
0.992091 | + | 0.125524i | \(0.0400614\pi\) | |||||||
\(480\) | −5.88212 | − | 20.8329i | −0.268481 | − | 0.950888i | ||||
\(481\) | −17.8842 | − | 34.0755i | −0.815450 | − | 1.55371i | ||||
\(482\) | −28.9565 | + | 19.9872i | −1.31893 | + | 0.910392i | ||||
\(483\) | −12.9167 | + | 20.1240i | −0.587730 | + | 0.915672i | ||||
\(484\) | 31.4235i | 1.42834i | ||||||||
\(485\) | −0.266658 | + | 0.184060i | −0.0121083 | + | 0.00835775i | ||||
\(486\) | 7.90024 | + | 34.0430i | 0.358362 | + | 1.54422i | ||||
\(487\) | 15.8907 | − | 14.0780i | 0.720079 | − | 0.637934i | −0.221331 | − | 0.975199i | \(-0.571040\pi\) |
0.941410 | + | 0.337265i | \(0.109502\pi\) | |||||||
\(488\) | −10.8100 | + | 20.5967i | −0.489344 | + | 0.932367i | ||||
\(489\) | 14.7030 | − | 7.21933i | 0.664894 | − | 0.326469i | ||||
\(490\) | 11.5721 | + | 2.85226i | 0.522773 | + | 0.128852i | ||||
\(491\) | 15.6306 | + | 19.9509i | 0.705397 | + | 0.900373i | 0.998446 | − | 0.0557246i | \(-0.0177469\pi\) |
−0.293049 | + | 0.956097i | \(0.594670\pi\) | |||||||
\(492\) | 3.90197 | − | 6.97229i | 0.175915 | − | 0.314335i | ||||
\(493\) | 0.623577 | − | 0.623577i | 0.0280845 | − | 0.0280845i | ||||
\(494\) | 3.06774 | − | 50.7158i | 0.138024 | − | 2.28181i | ||||
\(495\) | 3.64790 | − | 2.55384i | 0.163961 | − | 0.114787i | ||||
\(496\) | 4.75727 | − | 3.28371i | 0.213608 | − | 0.147443i | ||||
\(497\) | −2.75939 | − | 15.0575i | −0.123775 | − | 0.675420i | ||||
\(498\) | −4.01084 | + | 45.8225i | −0.179730 | + | 2.05336i | ||||
\(499\) | −14.9920 | + | 14.9920i | −0.671132 | + | 0.671132i | −0.957977 | − | 0.286845i | \(-0.907394\pi\) |
0.286845 | + | 0.957977i | \(0.407394\pi\) | |||||||
\(500\) | −35.0951 | − | 10.9361i | −1.56950 | − | 0.489076i | ||||
\(501\) | −22.3756 | − | 10.8031i | −0.999670 | − | 0.482648i | ||||
\(502\) | −55.7853 | − | 6.77356i | −2.48982 | − | 0.302319i | ||||
\(503\) | 15.4644 | − | 19.7389i | 0.689525 | − | 0.880114i | −0.307930 | − | 0.951409i | \(-0.599636\pi\) |
0.997455 | + | 0.0712951i | \(0.0227132\pi\) | |||||||
\(504\) | 13.4431 | + | 16.9264i | 0.598801 | + | 0.753961i | ||||
\(505\) | 4.66310 | − | 14.9644i | 0.207505 | − | 0.665908i | ||||
\(506\) | 5.14206 | + | 5.80419i | 0.228592 | + | 0.258028i | ||||
\(507\) | −25.7432 | − | 34.7441i | −1.14329 | − | 1.54304i | ||||
\(508\) | −28.8794 | + | 15.1571i | −1.28132 | + | 0.672486i | ||||
\(509\) | 23.4521 | + | 1.41859i | 1.03950 | + | 0.0628780i | 0.571296 | − | 0.820744i | \(-0.306441\pi\) |
0.468201 | + | 0.883622i | \(0.344902\pi\) | |||||||
\(510\) | −3.73271 | − | 5.03782i | −0.165287 | − | 0.223078i | ||||
\(511\) | 19.7473 | + | 17.4946i | 0.873569 | + | 0.773915i | ||||
\(512\) | 0.605675 | + | 10.0130i | 0.0267673 | + | 0.442516i | ||||
\(513\) | 19.0155 | − | 1.91885i | 0.839555 | − | 0.0847192i | ||||
\(514\) | −61.8225 | − | 27.8241i | −2.72687 | − | 1.22727i | ||||
\(515\) | 5.62830 | − | 8.15400i | 0.248013 | − | 0.359308i | ||||
\(516\) | −23.5745 | − | 36.1983i | −1.03781 | − | 1.59354i | ||||
\(517\) | −0.307260 | − | 2.53051i | −0.0135133 | − | 0.111292i | ||||
\(518\) | 20.3814 | − | 38.8334i | 0.895505 | − | 1.70624i | ||||
\(519\) | 0.863608 | − | 4.08912i | 0.0379082 | − | 0.179492i | ||||
\(520\) | 17.7791 | − | 20.0684i | 0.779664 | − | 0.880058i | ||||
\(521\) | −18.0039 | + | 18.0039i | −0.788765 | + | 0.788765i | −0.981292 | − | 0.192526i | \(-0.938332\pi\) |
0.192526 | + | 0.981292i | \(0.438332\pi\) | |||||||
\(522\) | −2.80957 | + | 6.35487i | −0.122972 | + | 0.278145i | ||||
\(523\) | −6.40141 | − | 16.8791i | −0.279914 | − | 0.738073i | −0.999066 | − | 0.0432195i | \(-0.986239\pi\) |
0.719152 | − | 0.694853i | \(-0.244531\pi\) | |||||||
\(524\) | −58.2094 | + | 35.1888i | −2.54289 | + | 1.53723i | ||||
\(525\) | −7.67996 | + | 0.723572i | −0.335181 | + | 0.0315793i | ||||
\(526\) | 42.3952 | + | 33.2145i | 1.84852 | + | 1.44822i | ||||
\(527\) | 3.13183 | − | 4.53724i | 0.136425 | − | 0.197645i | ||||
\(528\) | −1.12232 | + | 0.469244i | −0.0488426 | + | 0.0204212i | ||||
\(529\) | 3.54524 | + | 0.430470i | 0.154141 | + | 0.0187161i | ||||
\(530\) | 36.9275 | + | 22.3235i | 1.60403 | + | 0.969670i | ||||
\(531\) | 27.9360 | − | 25.0817i | 1.21232 | − | 1.08845i | ||||
\(532\) | 29.8341 | − | 18.0353i | 1.29347 | − | 0.781932i | ||||
\(533\) | −9.37568 | + | 0.567124i | −0.406106 | + | 0.0245649i | ||||
\(534\) | 16.1180 | + | 19.2103i | 0.697495 | + | 0.831311i | ||||
\(535\) | 2.28092 | − | 4.34593i | 0.0986129 | − | 0.187891i | ||||
\(536\) | −31.3229 | + | 9.76061i | −1.35294 | + | 0.421594i | ||||
\(537\) | −0.271178 | + | 1.82235i | −0.0117022 | + | 0.0786402i | ||||
\(538\) | 7.32557 | + | 1.80559i | 0.315828 | + | 0.0778446i | ||||
\(539\) | 0.265830 | − | 2.18931i | 0.0114501 | − | 0.0943002i | ||||
\(540\) | 25.1367 | + | 15.8998i | 1.08171 | + | 0.684218i | ||||
\(541\) | −21.5479 | − | 16.8817i | −0.926417 | − | 0.725801i | 0.0354349 | − | 0.999372i | \(-0.488718\pi\) |
−0.961852 | + | 0.273571i | \(0.911795\pi\) | |||||||
\(542\) | 7.48115 | − | 30.3522i | 0.321343 | − | 1.30374i | ||||
\(543\) | 4.78650 | − | 5.11868i | 0.205408 | − | 0.219663i | ||||
\(544\) | 2.31476 | + | 5.14319i | 0.0992446 | + | 0.220512i | ||||
\(545\) | 0.528662 | − | 0.414180i | 0.0226454 | − | 0.0177415i | ||||
\(546\) | 24.2108 | − | 70.9218i | 1.03612 | − | 3.03517i | ||||
\(547\) | 27.1149 | − | 3.29234i | 1.15935 | − | 0.140770i | 0.481823 | − | 0.876269i | \(-0.339975\pi\) |
0.677526 | + | 0.735498i | \(0.263052\pi\) | |||||||
\(548\) | −17.1322 | + | 28.3401i | −0.731852 | + | 1.21063i | ||||
\(549\) | 7.45501 | + | 29.4056i | 0.318172 | + | 1.25500i | ||||
\(550\) | −0.450901 | + | 2.46049i | −0.0192265 | + | 0.104916i | ||||
\(551\) | 3.25183 | + | 1.96580i | 0.138533 | + | 0.0837459i | ||||
\(552\) | −7.63573 | + | 15.8153i | −0.324998 | + | 0.673143i | ||||
\(553\) | −7.42708 | − | 30.1328i | −0.315832 | − | 1.28138i | ||||
\(554\) | 38.0190 | + | 48.5276i | 1.61527 | + | 2.06174i | ||||
\(555\) | 3.01184 | − | 20.2400i | 0.127846 | − | 0.859138i | ||||
\(556\) | −40.8545 | − | 7.48687i | −1.73262 | − | 0.317514i | ||||
\(557\) | 8.86244 | + | 2.18440i | 0.375514 | + | 0.0925558i | 0.422555 | − | 0.906337i | \(-0.361133\pi\) |
−0.0470417 | + | 0.998893i | \(0.514979\pi\) | |||||||
\(558\) | −10.1155 | + | 42.2438i | −0.428224 | + | 1.78832i | ||||
\(559\) | −20.8421 | + | 46.3092i | −0.881525 | + | 1.95867i | ||||
\(560\) | −5.26410 | − | 0.639178i | −0.222449 | − | 0.0270102i | ||||
\(561\) | −0.842149 | + | 0.798030i | −0.0355555 | + | 0.0336928i | ||||
\(562\) | 11.3367 | + | 25.1892i | 0.478211 | + | 1.06254i | ||||
\(563\) | −4.02119 | − | 12.9044i | −0.169473 | − | 0.543857i | 0.830439 | − | 0.557109i | \(-0.188089\pi\) |
−0.999912 | + | 0.0132516i | \(0.995782\pi\) | |||||||
\(564\) | 14.8024 | − | 8.41338i | 0.623293 | − | 0.354267i | ||||
\(565\) | 6.67594 | − | 21.4238i | 0.280859 | − | 0.901307i | ||||
\(566\) | −0.772169 | − | 12.7655i | −0.0324567 | − | 0.536573i | ||||
\(567\) | 27.7927 | + | 4.71314i | 1.16718 | + | 0.197933i | ||||
\(568\) | −3.34476 | − | 10.7337i | −0.140343 | − | 0.450377i | ||||
\(569\) | 16.2127 | − | 26.8191i | 0.679672 | − | 1.12431i | −0.305409 | − | 0.952221i | \(-0.598793\pi\) |
0.985081 | − | 0.172093i | \(-0.0550531\pi\) | |||||||
\(570\) | 17.2273 | − | 20.8111i | 0.721572 | − | 0.871682i | ||||
\(571\) | −6.90162 | + | 9.99873i | −0.288824 | + | 0.418434i | −0.940358 | − | 0.340185i | \(-0.889510\pi\) |
0.651534 | + | 0.758619i | \(0.274126\pi\) | |||||||
\(572\) | −12.0413 | − | 8.31151i | −0.503472 | − | 0.347522i | ||||
\(573\) | 0.616593 | + | 1.76779i | 0.0257585 | + | 0.0738504i | ||||
\(574\) | −6.60156 | − | 8.42627i | −0.275544 | − | 0.351706i | ||||
\(575\) | −3.24242 | − | 5.36362i | −0.135218 | − | 0.223678i | ||||
\(576\) | −27.8078 | − | 27.4414i | −1.15866 | − | 1.14339i | ||||
\(577\) | 18.9982 | − | 16.8309i | 0.790905 | − | 0.700680i | −0.167569 | − | 0.985860i | \(-0.553592\pi\) |
0.958474 | + | 0.285180i | \(0.0920534\pi\) | |||||||
\(578\) | −25.7942 | − | 25.7942i | −1.07290 | − | 1.07290i | ||||
\(579\) | −2.83292 | − | 10.0335i | −0.117732 | − | 0.416977i | ||||
\(580\) | 2.09696 | + | 5.52922i | 0.0870714 | + | 0.229588i | ||||
\(581\) | 32.8529 | + | 17.2425i | 1.36297 | + | 0.715340i | ||||
\(582\) | −0.289192 | + | 0.598980i | −0.0119874 | + | 0.0248285i | ||||
\(583\) | 3.27699 | − | 7.28117i | 0.135719 | − | 0.301555i | ||||
\(584\) | 15.9459 | + | 11.0067i | 0.659847 | + | 0.455460i | ||||
\(585\) | −0.231853 | − | 34.9650i | −0.00958594 | − | 1.44562i | ||||
\(586\) | 33.7864 | − | 8.32761i | 1.39571 | − | 0.344010i | ||||
\(587\) | −6.72688 | + | 0.406901i | −0.277648 | + | 0.0167946i | −0.198616 | − | 0.980077i | \(-0.563645\pi\) |
−0.0790324 | + | 0.996872i | \(0.525183\pi\) | |||||||
\(588\) | 14.1763 | − | 4.00264i | 0.584621 | − | 0.165066i | ||||
\(589\) | 22.2116 | + | 8.42374i | 0.915212 | + | 0.347094i | ||||
\(590\) | 3.20432 | − | 52.9737i | 0.131920 | − | 2.18089i | ||||
\(591\) | 43.8306 | + | 3.83649i | 1.80295 | + | 0.157812i | ||||
\(592\) | −1.98224 | + | 5.22674i | −0.0814696 | + | 0.214818i | ||||
\(593\) | −33.6461 | + | 29.8078i | −1.38168 | + | 1.22406i | −0.435595 | + | 0.900143i | \(0.643462\pi\) |
−0.946085 | + | 0.323919i | \(0.895000\pi\) | |||||||
\(594\) | 3.91978 | − | 8.25814i | 0.160830 | − | 0.338835i | ||||
\(595\) | −4.91054 | + | 1.21034i | −0.201313 | + | 0.0496191i | ||||
\(596\) | 8.25989 | + | 6.47121i | 0.338338 | + | 0.265071i | ||||
\(597\) | −7.29563 | + | 8.81335i | −0.298590 | + | 0.360706i | ||||
\(598\) | 60.4442 | − | 7.33925i | 2.47175 | − | 0.300124i | ||||
\(599\) | −5.01530 | + | 16.0947i | −0.204920 | + | 0.657610i | 0.793855 | + | 0.608108i | \(0.208071\pi\) |
−0.998774 | + | 0.0495021i | \(0.984237\pi\) | |||||||
\(600\) | −5.53520 | + | 1.20741i | −0.225973 | + | 0.0492923i | ||||
\(601\) | 12.5017 | − | 6.56139i | 0.509954 | − | 0.267645i | −0.190061 | − | 0.981772i | \(-0.560869\pi\) |
0.700016 | + | 0.714128i | \(0.253176\pi\) | |||||||
\(602\) | −56.9260 | + | 10.4321i | −2.32013 | + | 0.425180i | ||||
\(603\) | −21.8921 | + | 36.7624i | −0.891516 | + | 1.49708i | ||||
\(604\) | −19.9059 | + | 3.64789i | −0.809958 | + | 0.148430i | ||||
\(605\) | 19.6068 | + | 1.18599i | 0.797130 | + | 0.0482175i | ||||
\(606\) | −6.85741 | − | 31.4368i | −0.278563 | − | 1.27703i | ||||
\(607\) | −2.97088 | − | 49.1145i | −0.120584 | − | 1.99349i | −0.113672 | − | 0.993518i | \(-0.536261\pi\) |
−0.00691255 | − | 0.999976i | \(-0.502200\pi\) | |||||||
\(608\) | −19.1303 | + | 14.9876i | −0.775835 | + | 0.607828i | ||||
\(609\) | 3.85506 | + | 4.06818i | 0.156215 | + | 0.164851i | ||||
\(610\) | 36.6977 | + | 22.1845i | 1.48585 | + | 0.898225i | ||||
\(611\) | −17.7232 | − | 9.30187i | −0.717006 | − | 0.376314i | ||||
\(612\) | −7.08759 | − | 3.13352i | −0.286499 | − | 0.126665i | ||||
\(613\) | −2.56679 | + | 42.4341i | −0.103672 | + | 1.71390i | 0.460017 | + | 0.887910i | \(0.347843\pi\) |
−0.563689 | + | 0.825987i | \(0.690618\pi\) | |||||||
\(614\) | 12.0426 | + | 17.4467i | 0.486000 | + | 0.704093i | ||||
\(615\) | −4.20312 | − | 2.69780i | −0.169486 | − | 0.108786i | ||||
\(616\) | − | 5.65386i | − | 0.227801i | ||||||
\(617\) | −21.6487 | − | 31.3635i | −0.871542 | − | 1.26265i | −0.963723 | − | 0.266905i | \(-0.913999\pi\) |
0.0921804 | − | 0.995742i | \(-0.470616\pi\) | |||||||
\(618\) | 1.77349 | − | 20.2615i | 0.0713402 | − | 0.815038i | ||||
\(619\) | −15.9314 | + | 17.9828i | −0.640337 | + | 0.722791i | −0.975654 | − | 0.219314i | \(-0.929618\pi\) |
0.335317 | + | 0.942105i | \(0.391156\pi\) | |||||||
\(620\) | 19.1255 | + | 31.6375i | 0.768100 | + | 1.27059i | ||||
\(621\) | 6.36948 | + | 22.0001i | 0.255599 | + | 0.882834i | ||||
\(622\) | −23.1012 | − | 4.23345i | −0.926274 | − | 0.169746i | ||||
\(623\) | 19.3113 | − | 6.01764i | 0.773691 | − | 0.241092i | ||||
\(624\) | −1.97378 | + | 9.34572i | −0.0790146 | + | 0.374128i | ||||
\(625\) | −5.62709 | + | 14.8374i | −0.225083 | + | 0.593496i | ||||
\(626\) | 0.613369 | + | 3.34705i | 0.0245151 | + | 0.133775i | ||||
\(627\) | −4.20706 | − | 2.70033i | −0.168014 | − | 0.107841i | ||||
\(628\) | −5.74223 | + | 37.4793i | −0.229140 | + | 1.49559i | ||||
\(629\) | 5.33145i | 0.212579i | ||||||||
\(630\) | 32.6434 | − | 22.8532i | 1.30054 | − | 0.910492i | ||||
\(631\) | 13.2188 | + | 5.01323i | 0.526232 | + | 0.199573i | 0.603391 | − | 0.797445i | \(-0.293816\pi\) |
−0.0771594 | + | 0.997019i | \(0.524585\pi\) | |||||||
\(632\) | −8.08240 | − | 21.3115i | −0.321501 | − | 0.847728i | ||||
\(633\) | 30.9673 | + | 8.52224i | 1.23084 | + | 0.338729i | ||||
\(634\) | 6.36507 | − | 34.7331i | 0.252789 | − | 1.37943i | ||||
\(635\) | 8.36735 | + | 18.5915i | 0.332048 | + | 0.737780i | ||||
\(636\) | 53.3127 | + | 1.43404i | 2.11399 | + | 0.0568634i | ||||
\(637\) | −12.9620 | − | 11.4833i | −0.513573 | − | 0.454986i | ||||
\(638\) | 1.60927 | − | 0.844608i | 0.0637114 | − | 0.0334383i | ||||
\(639\) | −12.5977 | − | 7.50198i | −0.498358 | − | 0.296774i | ||||
\(640\) | −30.2292 | −1.19492 | ||||||||
\(641\) | −19.2207 | −0.759170 | −0.379585 | − | 0.925157i | \(-0.623933\pi\) | ||||
−0.379585 | + | 0.925157i | \(0.623933\pi\) | |||||||
\(642\) | −0.337698 | − | 10.0698i | −0.0133279 | − | 0.397424i | ||||
\(643\) | 17.9717 | + | 1.08709i | 0.708736 | + | 0.0428706i | 0.410813 | − | 0.911720i | \(-0.365245\pi\) |
0.297922 | + | 0.954590i | \(0.403706\pi\) | |||||||
\(644\) | 27.7039 | + | 31.2712i | 1.09169 | + | 1.23226i | ||||
\(645\) | −23.4758 | + | 13.3432i | −0.924360 | + | 0.525388i | ||||
\(646\) | −3.64150 | + | 6.02378i | −0.143273 | + | 0.237002i | ||||
\(647\) | 1.62375 | − | 6.58782i | 0.0638363 | − | 0.258994i | −0.930349 | − | 0.366675i | \(-0.880496\pi\) |
0.994186 | + | 0.107681i | \(0.0343424\pi\) | |||||||
\(648\) | 20.6801 | + | 0.975862i | 0.812392 | + | 0.0383355i | ||||
\(649\) | −9.80227 | + | 0.592928i | −0.384773 | + | 0.0232745i | ||||
\(650\) | 13.8889 | + | 13.8889i | 0.544768 | + | 0.544768i | ||||
\(651\) | 28.2901 | + | 20.6720i | 1.10878 | + | 0.810201i | ||||
\(652\) | −5.15840 | − | 28.1485i | −0.202018 | − | 1.10238i | ||||
\(653\) | 6.28202 | + | 9.10108i | 0.245834 | + | 0.356153i | 0.926404 | − | 0.376531i | \(-0.122883\pi\) |
−0.680570 | + | 0.732683i | \(0.738268\pi\) | |||||||
\(654\) | 0.523358 | − | 1.27544i | 0.0204649 | − | 0.0498738i | ||||
\(655\) | 19.7592 | + | 37.6481i | 0.772057 | + | 1.47103i | ||||
\(656\) | 0.964755 | + | 0.964755i | 0.0376674 | + | 0.0376674i | ||||
\(657\) | 25.0639 | − | 3.21209i | 0.977836 | − | 0.125316i | ||||
\(658\) | −2.74953 | − | 22.6444i | −0.107188 | − | 0.882772i | ||||
\(659\) | −1.92853 | + | 15.8829i | −0.0751248 | + | 0.618708i | 0.905714 | + | 0.423889i | \(0.139335\pi\) |
−0.980839 | + | 0.194820i | \(0.937588\pi\) | |||||||
\(660\) | −2.56219 | − | 7.34586i | −0.0997329 | − | 0.285937i | ||||
\(661\) | −5.40116 | − | 21.9134i | −0.210081 | − | 0.852331i | −0.977457 | − | 0.211134i | \(-0.932284\pi\) |
0.767376 | − | 0.641197i | \(-0.221562\pi\) | |||||||
\(662\) | −69.5886 | − | 21.6847i | −2.70464 | − | 0.842799i | ||||
\(663\) | 1.40060 | + | 9.00178i | 0.0543947 | + | 0.349600i | ||||
\(664\) | 25.4785 | + | 9.66273i | 0.988758 | + | 0.374987i | ||||
\(665\) | −10.1272 | − | 19.2958i | −0.392717 | − | 0.748260i | ||||
\(666\) | −15.1558 | − | 39.1770i | −0.587274 | − | 1.51808i | ||||
\(667\) | −1.61475 | + | 4.25776i | −0.0625235 | + | 0.164861i | ||||
\(668\) | −28.7865 | + | 32.4932i | −1.11378 | + | 1.25720i | ||||
\(669\) | 24.4501 | + | 13.6833i | 0.945297 | + | 0.529026i | ||||
\(670\) | 14.4745 | + | 58.7253i | 0.559198 | + | 2.26875i | ||||
\(671\) | 3.25659 | − | 7.23585i | 0.125719 | − | 0.279337i | ||||
\(672\) | −33.0705 | + | 13.8269i | −1.27572 | + | 0.533384i | ||||
\(673\) | 25.0779 | + | 11.2867i | 0.966682 | + | 0.435068i | 0.831361 | − | 0.555733i | \(-0.187562\pi\) |
0.135322 | + | 0.990802i | \(0.456793\pi\) | |||||||
\(674\) | −15.7720 | + | 1.91507i | −0.607514 | + | 0.0737656i | ||||
\(675\) | −4.31946 | + | 5.99431i | −0.166256 | + | 0.230721i | ||||
\(676\) | −70.6388 | + | 26.7898i | −2.71688 | + | 1.03038i | ||||
\(677\) | −27.2135 | − | 24.1091i | −1.04590 | − | 0.926588i | −0.0485137 | − | 0.998823i | \(-0.515448\pi\) |
−0.997388 | + | 0.0722348i | \(0.976987\pi\) | |||||||
\(678\) | −9.81743 | − | 45.0066i | −0.377036 | − | 1.72847i | ||||
\(679\) | 0.355775 | + | 0.401587i | 0.0136534 | + | 0.0154115i | ||||
\(680\) | −3.47300 | + | 1.31713i | −0.133183 | + | 0.0505098i | ||||
\(681\) | −22.2571 | − | 0.598685i | −0.852893 | − | 0.0229417i | ||||
\(682\) | 8.94399 | − | 7.00717i | 0.342483 | − | 0.268318i | ||||
\(683\) | 2.51264 | − | 3.20715i | 0.0961434 | − | 0.122718i | −0.736717 | − | 0.676201i | \(-0.763625\pi\) |
0.832860 | + | 0.553483i | \(0.186702\pi\) | |||||||
\(684\) | 5.80094 | − | 32.8830i | 0.221805 | − | 1.25731i | ||||
\(685\) | 17.0363 | + | 11.7593i | 0.650925 | + | 0.449301i | ||||
\(686\) | −3.54605 | + | 29.2043i | −0.135389 | + | 1.11503i | ||||
\(687\) | −9.30236 | + | 4.56755i | −0.354907 | + | 0.174263i | ||||
\(688\) | 7.04259 | − | 2.19456i | 0.268496 | − | 0.0836668i | ||||
\(689\) | −32.4353 | − | 53.6545i | −1.23569 | − | 2.04407i | ||||
\(690\) | 28.2526 | + | 15.8113i | 1.07556 | + | 0.601924i | ||||
\(691\) | 30.5331 | + | 9.51450i | 1.16153 | + | 0.361949i | 0.816895 | − | 0.576787i | \(-0.195694\pi\) |
0.344639 | + | 0.938735i | \(0.388001\pi\) | |||||||
\(692\) | −6.46535 | − | 3.39327i | −0.245776 | − | 0.128993i | ||||
\(693\) | −4.92601 | − | 5.48659i | −0.187124 | − | 0.208418i | ||||
\(694\) | −35.5713 | + | 16.0093i | −1.35027 | + | 0.607706i | ||||
\(695\) | −6.21341 | + | 25.2088i | −0.235688 | + | 0.956224i | ||||
\(696\) | 3.17076 | + | 2.62473i | 0.120187 | + | 0.0994901i | ||||
\(697\) | 1.18662 | + | 0.534056i | 0.0449466 | + | 0.0202288i | ||||
\(698\) | −10.7052 | + | 13.6641i | −0.405197 | + | 0.517196i | ||||
\(699\) | −29.1944 | + | 27.6650i | −1.10423 | + | 1.04639i | ||||
\(700\) | −2.42932 | + | 13.2564i | −0.0918197 | + | 0.501044i | ||||
\(701\) | 7.28359 | − | 3.27808i | 0.275097 | − | 0.123811i | −0.268168 | − | 0.963372i | \(-0.586418\pi\) |
0.543266 | + | 0.839561i | \(0.317188\pi\) | |||||||
\(702\) | −35.8814 | − | 62.1661i | −1.35426 | − | 2.34631i | ||||
\(703\) | −22.3048 | + | 5.49764i | −0.841242 | + | 0.207347i | ||||
\(704\) | 1.23176 | + | 10.1444i | 0.0464236 | + | 0.382333i | ||||
\(705\) | −4.69089 | − | 9.55355i | −0.176669 | − | 0.359807i | ||||
\(706\) | 25.1702 | + | 4.61262i | 0.947294 | + | 0.173598i | ||||
\(707\) | −25.5288 | − | 4.67832i | −0.960108 | − | 0.175946i | ||||
\(708\) | −28.9096 | − | 58.8778i | −1.08649 | − | 2.21276i | ||||
\(709\) | −3.69823 | − | 30.4576i | −0.138890 | − | 1.14386i | −0.880843 | − | 0.473409i | \(-0.843023\pi\) |
0.741953 | − | 0.670452i | \(-0.233900\pi\) | |||||||
\(710\) | −20.1240 | + | 4.96011i | −0.755239 | + | 0.186150i | ||||
\(711\) | −26.4113 | − | 13.6391i | −0.990501 | − | 0.511507i | ||||
\(712\) | 13.5466 | − | 6.09684i | 0.507681 | − | 0.228489i | ||||
\(713\) | −5.13149 | + | 28.0017i | −0.192176 | + | 1.04867i | ||||
\(714\) | −7.53601 | + | 7.14121i | −0.282028 | + | 0.267253i | ||||
\(715\) | −5.64047 | + | 7.19953i | −0.210942 | + | 0.269247i | ||||
\(716\) | 2.93531 | + | 1.32107i | 0.109698 | + | 0.0493709i | ||||
\(717\) | 31.3446 | + | 25.9468i | 1.17058 | + | 0.969002i | ||||
\(718\) | −15.1720 | + | 61.5554i | −0.566215 | + | 2.29723i | ||||
\(719\) | 5.26502 | − | 2.36959i | 0.196352 | − | 0.0883710i | −0.309851 | − | 0.950785i | \(-0.600279\pi\) |
0.506203 | + | 0.862414i | \(0.331048\pi\) | |||||||
\(720\) | −3.77927 | + | 3.39314i | −0.140845 | + | 0.126455i | ||||
\(721\) | −14.5267 | − | 7.62418i | −0.541001 | − | 0.283939i | ||||
\(722\) | 11.7110 | + | 3.64928i | 0.435837 | + | 0.135812i | ||||
\(723\) | 23.7211 | + | 13.2753i | 0.882198 | + | 0.493713i | ||||
\(724\) | −6.33410 | − | 10.4779i | −0.235405 | − | 0.389407i | ||||
\(725\) | −1.40245 | + | 0.437022i | −0.0520858 | + | 0.0162306i | ||||
\(726\) | 36.1949 | − | 17.7721i | 1.34332 | − | 0.659584i | ||||
\(727\) | 0.485342 | − | 3.99715i | 0.0180003 | − | 0.148246i | −0.980938 | − | 0.194323i | \(-0.937749\pi\) |
0.998938 | + | 0.0460772i | \(0.0146720\pi\) | |||||||
\(728\) | −36.5364 | − | 25.2193i | −1.35413 | − | 0.934688i | ||||
\(729\) | 20.9185 | − | 17.0709i | 0.774760 | − | 0.632255i | ||||
\(730\) | 22.0289 | − | 28.1178i | 0.815325 | − | 1.04069i | ||||
\(731\) | 5.53816 | − | 4.33887i | 0.204836 | − | 0.160479i | ||||
\(732\) | 52.9809 | + | 1.42511i | 1.95823 | + | 0.0526737i | ||||
\(733\) | −1.28381 | + | 0.486884i | −0.0474185 | + | 0.0179835i | −0.378200 | − | 0.925724i | \(-0.623457\pi\) |
0.330782 | + | 0.943707i | \(0.392688\pi\) | |||||||
\(734\) | 7.69116 | + | 8.68153i | 0.283886 | + | 0.320441i | ||||
\(735\) | −1.96242 | − | 8.99644i | −0.0723849 | − | 0.331839i | ||||
\(736\) | −21.7992 | − | 19.3124i | −0.803528 | − | 0.711863i | ||||
\(737\) | 10.4645 | − | 3.96865i | 0.385464 | − | 0.146187i | ||||
\(738\) | −10.2378 | − | 0.551166i | −0.376859 | − | 0.0202887i | ||||
\(739\) | −6.55232 | + | 0.795596i | −0.241031 | + | 0.0292665i | −0.240161 | − | 0.970733i | \(-0.577200\pi\) |
−0.000870390 | 1.00000i | \(0.500277\pi\) | ||||||||
\(740\) | −32.6011 | − | 14.6725i | −1.19844 | − | 0.539374i | ||||
\(741\) | −36.2158 | + | 15.1420i | −1.33042 | + | 0.556254i | ||||
\(742\) | 29.3243 | − | 65.1559i | 1.07653 | − | 2.39195i | ||||
\(743\) | −1.47878 | − | 5.99966i | −0.0542513 | − | 0.220106i | 0.937559 | − | 0.347827i | \(-0.113080\pi\) |
−0.991810 | + | 0.127720i | \(0.959234\pi\) | |||||||
\(744\) | 22.4556 | + | 12.5670i | 0.823261 | + | 0.460729i | ||||
\(745\) | 4.34948 | − | 4.90955i | 0.159353 | − | 0.179872i | ||||
\(746\) | 6.19180 | − | 16.3264i | 0.226698 | − | 0.597754i | ||||
\(747\) | 33.1435 | − | 12.8217i | 1.21266 | − | 0.469121i | ||||
\(748\) | 0.941991 | + | 1.79481i | 0.0344426 | + | 0.0656249i | ||||
\(749\) | −7.59897 | − | 2.88191i | −0.277660 | − | 0.105303i | ||||
\(750\) | 7.25197 | + | 46.6091i | 0.264804 | + | 1.70192i | ||||
\(751\) | −25.0460 | − | 7.80464i | −0.913940 | − | 0.284795i | −0.195760 | − | 0.980652i | \(-0.562717\pi\) |
−0.718181 | + | 0.695857i | \(0.755025\pi\) | |||||||
\(752\) | 0.695798 | + | 2.82297i | 0.0253732 | + | 0.102943i | ||||
\(753\) | 14.2982 | + | 40.9934i | 0.521056 | + | 1.49388i | ||||
\(754\) | 1.72016 | − | 14.1668i | 0.0626446 | − | 0.515924i | ||||
\(755\) | 1.52482 | + | 12.5580i | 0.0554939 | + | 0.457034i | ||||
\(756\) | 21.1186 | − | 44.4924i | 0.768075 | − | 1.61817i | ||||
\(757\) | 9.27346 | + | 9.27346i | 0.337050 | + | 0.337050i | 0.855256 | − | 0.518206i | \(-0.173400\pi\) |
−0.518206 | + | 0.855256i | \(0.673400\pi\) | |||||||
\(758\) | 18.1552 | + | 34.5917i | 0.659425 | + | 1.25643i | ||||
\(759\) | 2.27424 | − | 5.54241i | 0.0825497 | − | 0.201177i | ||||
\(760\) | −9.09165 | − | 13.1715i | −0.329789 | − | 0.477782i | ||||
\(761\) | 8.88579 | + | 48.4882i | 0.322110 | + | 1.75769i | 0.602796 | + | 0.797895i | \(0.294053\pi\) |
−0.280687 | + | 0.959799i | \(0.590562\pi\) | |||||||
\(762\) | 33.7918 | + | 24.6922i | 1.22415 | + | 0.894504i | ||||
\(763\) | −0.786333 | − | 0.786333i | −0.0284672 | − | 0.0284672i | ||||
\(764\) | 3.26502 | − | 0.197498i | 0.118124 | − | 0.00714521i | ||||
\(765\) | −2.22267 | + | 4.30407i | −0.0803609 | + | 0.155614i | ||||
\(766\) | 11.9052 | − | 48.3012i | 0.430151 | − | 1.74519i | ||||
\(767\) | −39.8918 | + | 65.9890i | −1.44041 | + | 2.38273i | ||||
\(768\) | −14.7301 | + | 8.37230i | −0.531527 | + | 0.302109i | ||||
\(769\) | 17.4283 | + | 19.6725i | 0.628482 | + | 0.709410i | 0.973371 | − | 0.229234i | \(-0.0736220\pi\) |
−0.344889 | + | 0.938643i | \(0.612084\pi\) | |||||||
\(770\) | −10.4040 | − | 0.629323i | −0.374932 | − | 0.0226792i | ||||
\(771\) | 1.75553 | + | 52.3482i | 0.0632238 | + | 1.88527i | ||||
\(772\) | −18.2149 | −0.655567 | ||||||||
\(773\) | 0.759408 | 0.0273140 | 0.0136570 | − | 0.999907i | \(-0.495653\pi\) | ||||
0.0136570 | + | 0.999907i | \(0.495653\pi\) | |||||||
\(774\) | −28.3618 | + | 47.6267i | −1.01944 | + | 1.71191i | ||||
\(775\) | −8.13156 | + | 4.26777i | −0.292094 | + | 0.153303i | ||||
\(776\) | 0.294937 | + | 0.261291i | 0.0105876 | + | 0.00937980i | ||||
\(777\) | −33.8710 | − | 0.911084i | −1.21511 | − | 0.0326849i | ||||
\(778\) | 19.9281 | + | 44.2783i | 0.714455 | + | 1.58745i | ||||
\(779\) | −1.01068 | + | 5.51510i | −0.0362113 | + | 0.197599i | ||||
\(780\) | −58.8991 | − | 16.2091i | −2.10893 | − | 0.580379i | ||||
\(781\) | 1.35998 | + | 3.58596i | 0.0486638 | + | 0.128316i | ||||
\(782\) | −7.88718 | − | 2.99121i | −0.282045 | − | 0.106966i | ||||
\(783\) | 5.36378 | − | 0.215493i | 0.191686 | − | 0.00770109i | ||||
\(784\) | 2.51542i | 0.0898364i | ||||||||
\(785\) | 23.1686 | + | 4.99744i | 0.826924 | + | 0.178366i | ||||
\(786\) | 73.4533 | + | 47.1465i | 2.61999 | + | 1.68166i | ||||
\(787\) | −0.355094 | − | 1.93769i | −0.0126577 | − | 0.0690711i | 0.976685 | − | 0.214679i | \(-0.0688707\pi\) |
−0.989342 | + | 0.145608i | \(0.953486\pi\) | |||||||
\(788\) | 27.2583 | − | 71.8742i | 0.971036 | − | 2.56041i | ||||
\(789\) | 8.59800 | − | 40.7109i | 0.306097 | − | 1.44935i | ||||
\(790\) | −40.1161 | + | 12.5007i | −1.42727 | + | 0.444754i | ||||
\(791\) | −36.5483 | − | 6.69773i | −1.29951 | − | 0.238144i | ||||
\(792\) | −4.07712 | − | 3.56404i | −0.144874 | − | 0.126643i | ||||
\(793\) | −32.2334 | − | 53.3205i | −1.14464 | − | 1.89347i | ||||
\(794\) | 9.85277 | − | 11.1215i | 0.349662 | − | 0.394687i | ||||
\(795\) | 2.90692 | − | 33.2106i | 0.103098 | − | 1.17786i | ||||
\(796\) | 11.3550 | + | 16.4506i | 0.402469 | + | 0.583077i | ||||
\(797\) | − | 24.2795i | − | 0.860024i | −0.902823 | − | 0.430012i | \(-0.858509\pi\) | ||
0.902823 | − | 0.430012i | \(-0.141491\pi\) | |||||||
\(798\) | −37.6471 | − | 24.1640i | −1.33269 | − | 0.855398i | ||||
\(799\) | 1.57523 | + | 2.28211i | 0.0557276 | + | 0.0807354i | ||||
\(800\) | 0.567250 | − | 9.37776i | 0.0200553 | − | 0.331554i | ||||
\(801\) | 7.83387 | − | 17.7192i | 0.276796 | − | 0.626076i | ||||
\(802\) | 76.0151 | + | 39.8958i | 2.68418 | + | 1.40877i | ||||
\(803\) | −5.65632 | − | 3.41937i | −0.199607 | − | 0.120667i | ||||
\(804\) | 51.4184 | + | 54.2610i | 1.81339 | + | 1.91364i | ||||
\(805\) | 20.5574 | − | 16.1057i | 0.724554 | − | 0.567651i | ||||
\(806\) | −5.38675 | − | 89.0536i | −0.189740 | − | 3.13678i | ||||
\(807\) | −1.24229 | − | 5.69509i | −0.0437306 | − | 0.200477i | ||||
\(808\) | −19.0265 | − | 1.15089i | −0.669349 | − | 0.0404882i | ||||
\(809\) | −4.38335 | + | 0.803279i | −0.154110 | + | 0.0282418i | −0.256756 | − | 0.966476i | \(-0.582654\pi\) |
0.102646 | + | 0.994718i | \(0.467269\pi\) | |||||||
\(810\) | 4.09761 | − | 37.9459i | 0.143975 | − | 1.33328i | ||||
\(811\) | −27.5339 | + | 5.04578i | −0.966847 | + | 0.177181i | −0.640406 | − | 0.768036i | \(-0.721234\pi\) |
−0.326441 | + | 0.945218i | \(0.605849\pi\) | |||||||
\(812\) | 8.67024 | − | 4.55049i | 0.304266 | − | 0.159691i | ||||
\(813\) | −23.5966 | + | 5.14719i | −0.827568 | + | 0.180520i | ||||
\(814\) | −3.26883 | + | 10.4900i | −0.114572 | + | 0.367676i | ||||
\(815\) | −17.7580 | + | 2.15622i | −0.622037 | + | 0.0755290i | ||||
\(816\) | 0.843819 | − | 1.01936i | 0.0295396 | − | 0.0356847i | ||||
\(817\) | 23.8630 | + | 18.6955i | 0.834862 | + | 0.654073i | ||||
\(818\) | −35.0898 | + | 8.64885i | −1.22688 | + | 0.302400i | ||||
\(819\) | −57.4281 | + | 7.35977i | −2.00670 | + | 0.257171i | ||||
\(820\) | −6.53136 | + | 5.78628i | −0.228085 | + | 0.202066i | ||||
\(821\) | 6.80924 | − | 17.9545i | 0.237644 | − | 0.626616i | −0.762140 | − | 0.647413i | \(-0.775851\pi\) |
0.999784 | + | 0.0207966i | \(0.00662024\pi\) | |||||||
\(822\) | 42.3328 | + | 3.70539i | 1.47653 | + | 0.129240i | ||||
\(823\) | −0.808628 | + | 13.3682i | −0.0281870 | + | 0.465987i | 0.956509 | + | 0.291704i | \(0.0942222\pi\) |
−0.984696 | + | 0.174283i | \(0.944239\pi\) | |||||||
\(824\) | −11.2659 | − | 4.27260i | −0.392467 | − | 0.148843i | ||||
\(825\) | 1.85988 | − | 0.525131i | 0.0647526 | − | 0.0182827i | ||||
\(826\) | −87.7161 | + | 5.30585i | −3.05203 | + | 0.184614i | ||||
\(827\) | −1.87876 | + | 0.463073i | −0.0653309 | + | 0.0161026i | −0.271846 | − | 0.962341i | \(-0.587634\pi\) |
0.206515 | + | 0.978443i | \(0.433788\pi\) | |||||||
\(828\) | 40.0142 | − | 0.265334i | 1.39059 | − | 0.00922100i | ||||
\(829\) | 24.4715 | + | 16.8915i | 0.849932 | + | 0.586665i | 0.911436 | − | 0.411441i | \(-0.134975\pi\) |
−0.0615046 | + | 0.998107i | \(0.519590\pi\) | |||||||
\(830\) | 20.6168 | − | 45.8088i | 0.715621 | − | 1.59004i | ||||
\(831\) | 20.7078 | − | 42.8904i | 0.718344 | − | 1.48785i | ||||
\(832\) | 71.0497 | + | 37.2898i | 2.46321 | + | 1.29279i | ||||
\(833\) | 0.850725 | + | 2.24318i | 0.0294759 | + | 0.0777215i | ||||
\(834\) | 14.4823 | + | 51.2924i | 0.501480 | + | 1.77611i | ||||
\(835\) | 19.1878 | + | 19.1878i | 0.664021 | + | 0.664021i | ||||
\(836\) | −6.53748 | + | 5.79170i | −0.226103 | + | 0.200310i | ||||
\(837\) | 32.7404 | − | 7.36952i | 1.13167 | − | 0.254728i | ||||
\(838\) | −23.3263 | − | 38.5864i | −0.805792 | − | 1.33294i | ||||
\(839\) | −9.29665 | − | 11.8663i | −0.320956 | − | 0.409670i | 0.599588 | − | 0.800309i | \(-0.295331\pi\) |
−0.920544 | + | 0.390639i | \(0.872254\pi\) | |||||||
\(840\) | −7.77433 | − | 22.2892i | −0.268240 | − | 0.769051i | ||||
\(841\) | −22.9882 | − | 15.8676i | −0.792696 | − | 0.547158i | ||||
\(842\) | −27.2143 | + | 39.4268i | −0.937868 | + | 1.35874i | ||||
\(843\) | 13.6083 | − | 16.4392i | 0.468694 | − | 0.566197i | ||||
\(844\) | 29.0302 | − | 48.0218i | 0.999260 | − | 1.65298i | ||||
\(845\) | 14.0495 | + | 45.0865i | 0.483318 | + | 1.55102i | ||||
\(846\) | −18.0626 | − | 12.2917i | −0.621006 | − | 0.422597i | ||||
\(847\) | −1.96382 | − | 32.4658i | −0.0674777 | − | 1.11554i | ||||
\(848\) | −2.70939 | + | 8.69473i | −0.0930407 | + | 0.298578i | ||||
\(849\) | −8.58988 | + | 4.88232i | −0.294804 | + | 0.167561i | ||||
\(850\) | −0.809552 | − | 2.59794i | −0.0277674 | − | 0.0891087i | ||||
\(851\) | −11.2985 | − | 25.1043i | −0.387309 | − | 0.860566i | ||||
\(852\) | −18.5941 | + | 17.6200i | −0.637025 | + | 0.603652i | ||||
\(853\) | 9.89138 | + | 1.20103i | 0.338675 | + | 0.0411225i | 0.288107 | − | 0.957598i | \(-0.406974\pi\) |
0.0505672 | + | 0.998721i | \(0.483897\pi\) | |||||||
\(854\) | 29.1418 | − | 64.7504i | 0.997211 | − | 2.21571i | ||||
\(855\) | −20.2986 | − | 4.86060i | −0.694196 | − | 0.166229i | ||||
\(856\) | −5.79532 | − | 1.42842i | −0.198080 | − | 0.0488223i | ||||
\(857\) | −41.6722 | − | 7.63672i | −1.42350 | − | 0.260865i | −0.587332 | − | 0.809346i | \(-0.699822\pi\) |
−0.836163 | + | 0.548481i | \(0.815206\pi\) | |||||||
\(858\) | −2.76340 | + | 18.5704i | −0.0943410 | + | 0.633984i | ||||
\(859\) | 28.2348 | + | 36.0390i | 0.963358 | + | 1.22964i | 0.973265 | + | 0.229684i | \(0.0737694\pi\) |
−0.00990746 | + | 0.999951i | \(0.503154\pi\) | |||||||
\(860\) | 11.2902 | + | 45.8060i | 0.384991 | + | 1.56197i | ||||
\(861\) | −3.59567 | + | 7.44742i | −0.122540 | + | 0.253807i | ||||
\(862\) | −45.9426 | − | 27.7732i | −1.56481 | − | 0.945961i | ||||
\(863\) | 3.42366 | − | 18.6823i | 0.116543 | − | 0.635953i | −0.872534 | − | 0.488553i | \(-0.837525\pi\) |
0.989077 | − | 0.147400i | \(-0.0470904\pi\) | |||||||
\(864\) | −10.8759 | + | 32.5640i | −0.370006 | + | 1.10785i | ||||
\(865\) | −2.36126 | + | 3.90601i | −0.0802854 | + | 0.132808i | ||||
\(866\) | 80.8872 | − | 9.82148i | 2.74866 | − | 0.333747i | ||||
\(867\) | −9.10492 | + | 26.6715i | −0.309219 | + | 0.905812i | ||||
\(868\) | 48.1875 | − | 37.7525i | 1.63559 | − | 1.28140i | ||||
\(869\) | 3.19102 | + | 7.09016i | 0.108248 | + | 0.240517i | ||||
\(870\) | 5.18283 | − | 5.54251i | 0.175714 | − | 0.187909i | ||||
\(871\) | 21.0309 | − | 85.3259i | 0.712606 | − | 2.89116i | ||||
\(872\) | −0.642905 | − | 0.503684i | −0.0217715 | − | 0.0170569i | ||||
\(873\) | 0.513865 | − | 0.00340744i | 0.0173917 | − | 0.000115324i | ||||
\(874\) | 4.38108 | − | 36.0815i | 0.148192 | − | 1.22047i | ||||
\(875\) | 36.9426 | + | 9.10554i | 1.24889 | + | 0.307824i | ||||
\(876\) | 6.49788 | − | 43.6666i | 0.219543 | − | 1.47536i | ||||
\(877\) | 44.9576 | − | 14.0094i | 1.51811 | − | 0.473063i | 0.578609 | − | 0.815605i | \(-0.303596\pi\) |
0.939502 | + | 0.342542i | \(0.111288\pi\) | |||||||
\(878\) | 15.6552 | − | 29.8284i | 0.528336 | − | 1.00666i | ||||
\(879\) | −17.2799 | − | 20.5951i | −0.582837 | − | 0.694656i | ||||
\(880\) | 1.32608 | − | 0.0802133i | 0.0447023 | − | 0.00270399i | ||||
\(881\) | 19.8625 | − | 12.0073i | 0.669184 | − | 0.404536i | −0.141565 | − | 0.989929i | \(-0.545214\pi\) |
0.810750 | + | 0.585393i | \(0.199060\pi\) | |||||||
\(882\) | −12.6281 | − | 14.0651i | −0.425209 | − | 0.473598i | ||||
\(883\) | −29.2397 | − | 17.6760i | −0.983993 | − | 0.594844i | −0.0687016 | − | 0.997637i | \(-0.521886\pi\) |
−0.915291 | + | 0.402793i | \(0.868039\pi\) | |||||||
\(884\) | 15.8002 | + | 1.91850i | 0.531419 | + | 0.0645260i | ||||
\(885\) | −37.8282 | + | 15.8161i | −1.27158 | + | 0.531652i | ||||
\(886\) | −45.0573 | + | 65.2768i | −1.51373 | + | 2.19302i | ||||
\(887\) | −10.1848 | − | 7.97930i | −0.341973 | − | 0.267919i | 0.431008 | − | 0.902348i | \(-0.358158\pi\) |
−0.772981 | + | 0.634429i | \(0.781235\pi\) | |||||||
\(888\) | −24.7751 | + | 2.33420i | −0.831397 | + | 0.0783306i | ||||
\(889\) | 28.8901 | − | 17.4647i | 0.968942 | − | 0.585746i | ||||
\(890\) | −9.71124 | − | 25.6064i | −0.325522 | − | 0.858330i | ||||
\(891\) | −7.06173 | + | 0.0936568i | −0.236577 | + | 0.00313762i | ||||
\(892\) | 34.6139 | − | 34.6139i | 1.15896 | − | 1.15896i | ||||
\(893\) | −7.92319 | + | 8.94343i | −0.265139 | + | 0.299280i | ||||
\(894\) | 2.78230 | − | 13.1740i | 0.0930541 | − | 0.440605i | ||||
\(895\) | 0.935075 | − | 1.78164i | 0.0312561 | − | 0.0595536i | ||||
\(896\) | 6.03345 | + | 49.6899i | 0.201563 | + | 1.66002i | ||||
\(897\) | −25.6718 | − | 39.4187i | −0.857157 | − | 1.31615i | ||||
\(898\) | −43.0811 | + | 62.4137i | −1.43763 | + | 2.08277i | ||||
\(899\) | 6.08444 | + | 2.73839i | 0.202928 | + | 0.0913303i | ||||
\(900\) | 8.02808 | + | 10.1083i | 0.267603 | + | 0.336943i | ||||
\(901\) | 0.524440 | + | 8.67003i | 0.0174716 | + | 0.288840i | ||||
\(902\) | 2.00733 | + | 1.77834i | 0.0668369 | + | 0.0592123i | ||||
\(903\) | 26.6187 | + | 35.9257i | 0.885815 | + | 1.19553i | ||||
\(904\) | −27.2393 | − | 1.64767i | −0.905966 | − | 0.0548008i | ||||
\(905\) | −6.77678 | + | 3.55673i | −0.225268 | + | 0.118230i | ||||
\(906\) | 15.4599 | + | 20.8653i | 0.513621 | + | 0.693204i | ||||
\(907\) | −31.6584 | − | 35.7349i | −1.05120 | − | 1.18656i | −0.981985 | − | 0.188958i | \(-0.939489\pi\) |
−0.0692147 | − | 0.997602i | \(-0.522049\pi\) | |||||||
\(908\) | −11.5727 | + | 37.1382i | −0.384054 | + | 1.23247i | ||||
\(909\) | −19.4663 | + | 15.4603i | −0.645656 | + | 0.512785i | ||||
\(910\) | −50.4740 | + | 64.4253i | −1.67320 | + | 2.13568i | ||||
\(911\) | 16.3706 | + | 1.98775i | 0.542383 | + | 0.0658572i | 0.387143 | − | 0.922020i | \(-0.373462\pi\) |
0.155240 | + | 0.987877i | \(0.450385\pi\) | |||||||
\(912\) | 5.13474 | + | 2.47909i | 0.170028 | + | 0.0820909i | ||||
\(913\) | −8.87451 | − | 2.76541i | −0.293703 | − | 0.0915217i | ||||
\(914\) | 29.3477 | − | 29.3477i | 0.970736 | − | 0.970736i | ||||
\(915\) | 2.88883 | − | 33.0039i | 0.0955016 | − | 1.09107i | ||||
\(916\) | 3.26364 | + | 17.8091i | 0.107834 | + | 0.588429i | ||||
\(917\) | 57.9411 | − | 39.9938i | 1.91338 | − | 1.32071i | ||||
\(918\) | 0.399185 | + | 9.93601i | 0.0131751 | + | 0.327937i | ||||
\(919\) | 2.74035 | − | 45.3035i | 0.0903959 | − | 1.49442i | −0.616640 | − | 0.787245i | \(-0.711507\pi\) |
0.707036 | − | 0.707178i | \(-0.250032\pi\) | |||||||
\(920\) | 13.5621 | − | 13.5621i | 0.447129 | − | 0.447129i | ||||
\(921\) | 7.99858 | − | 14.2924i | 0.263562 | − | 0.470949i | ||||
\(922\) | 7.47115 | + | 9.53622i | 0.246049 | + | 0.314059i | ||||
\(923\) | 29.2395 | + | 7.20688i | 0.962428 | + | 0.237217i | ||||
\(924\) | −11.5635 | + | 5.67780i | −0.380412 | + | 0.186786i | ||||
\(925\) | 4.12711 | − | 7.86356i | 0.135699 | − | 0.258552i | ||||
\(926\) | 4.37150 | − | 3.87281i | 0.143656 | − | 0.127268i | ||||
\(927\) | −14.6552 | + | 5.66942i | −0.481340 | + | 0.186208i | ||||
\(928\) | −5.61759 | + | 3.87755i | −0.184407 | + | 0.127287i | ||||
\(929\) | 0.357528i | 0.0117301i | 0.999983 | + | 0.00586506i | \(0.00186692\pi\) | ||||
−0.999983 | + | 0.00586506i | \(0.998133\pi\) | |||||||
\(930\) | 25.6247 | − | 39.9228i | 0.840267 | − | 1.30912i | ||||
\(931\) | −8.50737 | + | 5.87221i | −0.278818 | + | 0.192454i | ||||
\(932\) | 32.6556 | + | 62.2200i | 1.06967 | + | 2.03808i | ||||
\(933\) | 4.93039 | + | 17.4622i | 0.161414 | + | 0.571685i | ||||
\(934\) | −50.7751 | + | 30.6946i | −1.66141 | + | 1.00436i | ||||
\(935\) | 1.15543 | − | 0.520019i | 0.0377867 | − | 0.0170064i | ||||
\(936\) | −41.2177 | + | 10.4497i | −1.34724 | + | 0.341558i | ||||
\(937\) | 1.72709 | + | 5.54242i | 0.0564215 | + | 0.181063i | 0.978630 | − | 0.205631i | \(-0.0659247\pi\) |
−0.922208 | + | 0.386694i | \(0.873617\pi\) | |||||||
\(938\) | 93.6419 | − | 35.5137i | 3.05752 | − | 1.15956i | ||||
\(939\) | 2.11230 | − | 1.56508i | 0.0689324 | − | 0.0510746i | ||||
\(940\) | −18.2900 | + | 3.35176i | −0.596553 | + | 0.109322i | ||||
\(941\) | −36.5434 | −1.19128 | −0.595640 | − | 0.803252i | \(-0.703101\pi\) | ||||
−0.595640 | + | 0.803252i | \(0.703101\pi\) | |||||||
\(942\) | 46.4179 | − | 14.5829i | 1.51238 | − | 0.475136i | ||||
\(943\) | −6.71927 | −0.218810 | ||||||||
\(944\) | 11.0172 | − | 2.01898i | 0.358580 | − | 0.0657123i | ||||
\(945\) | −26.9641 | − | 14.8563i | −0.877143 | − | 0.483275i | ||||
\(946\) | 13.5570 | − | 5.14150i | 0.440777 | − | 0.167165i | ||||
\(947\) | 1.05525 | + | 3.38642i | 0.0342911 | + | 0.110044i | 0.970280 | − | 0.241987i | \(-0.0777990\pi\) |
−0.935989 | + | 0.352031i | \(0.885491\pi\) | |||||||
\(948\) | −35.4707 | + | 37.9323i | −1.15203 | + | 1.23198i | ||||
\(949\) | −47.3269 | + | 21.3001i | −1.53630 | + | 0.691430i | ||||
\(950\) | 10.0340 | − | 6.06579i | 0.325547 | − | 0.196800i | ||||
\(951\) | −26.2546 | + | 7.41293i | −0.851365 | + | 0.240381i | ||||
\(952\) | 2.85824 | + | 5.44592i | 0.0926361 | + | 0.176503i | ||||
\(953\) | 26.9909 | − | 18.6305i | 0.874321 | − | 0.603500i | −0.0441343 | − | 0.999026i | \(-0.514053\pi\) |
0.918455 | + | 0.395526i | \(0.129438\pi\) | |||||||
\(954\) | −28.5001 | − | 62.2190i | −0.922726 | − | 2.01441i | ||||
\(955\) | − | 2.04468i | − | 0.0661643i | ||||||
\(956\) | 58.5064 | − | 40.3841i | 1.89223 | − | 1.30611i | ||||
\(957\) | −1.13371 | − | 0.828419i | −0.0366476 | − | 0.0267790i | ||||
\(958\) | −57.5927 | + | 51.0227i | −1.86074 | + | 1.64847i | ||||
\(959\) | 15.9294 | − | 30.3509i | 0.514386 | − | 0.980081i | ||||
\(960\) | 18.8050 | + | 38.2987i | 0.606930 | + | 1.23609i | ||||
\(961\) | 10.4014 | + | 2.56372i | 0.335530 | + | 0.0827007i | ||||
\(962\) | 53.2080 | + | 67.9150i | 1.71550 | + | 2.18967i | ||||
\(963\) | −6.86839 | + | 3.66310i | −0.221331 | + | 0.118042i | ||||
\(964\) | 33.5818 | − | 33.5818i | 1.08160 | − | 1.08160i | ||||
\(965\) | −0.687470 | + | 11.3652i | −0.0221304 | + | 0.365860i | ||||
\(966\) | 20.3512 | − | 49.5965i | 0.654788 | − | 1.59574i | ||||
\(967\) | −5.33897 | + | 3.68522i | −0.171690 | + | 0.118509i | −0.650811 | − | 0.759240i | \(-0.725571\pi\) |
0.479121 | + | 0.877749i | \(0.340955\pi\) | |||||||
\(968\) | −4.30582 | − | 23.4961i | −0.138394 | − | 0.755193i | ||||
\(969\) | 5.41745 | + | 0.474189i | 0.174034 | + | 0.0152331i | ||||
\(970\) | 0.513644 | − | 0.513644i | 0.0164921 | − | 0.0164921i | ||||
\(971\) | −18.4087 | − | 5.73639i | −0.590764 | − | 0.184090i | −0.0124761 | − | 0.999922i | \(-0.503971\pi\) |
−0.578288 | + | 0.815833i | \(0.696279\pi\) | |||||||
\(972\) | −18.7718 | − | 43.2759i | −0.602107 | − | 1.38807i | ||||
\(973\) | 42.6776 | + | 5.18200i | 1.36818 | + | 0.166127i | ||||
\(974\) | −29.3527 | + | 37.4660i | −0.940521 | + | 1.20049i | ||||
\(975\) | 4.90255 | − | 14.3613i | 0.157007 | − | 0.459929i | ||||
\(976\) | −2.69252 | + | 8.64061i | −0.0861855 | + | 0.276579i | ||||
\(977\) | 18.1464 | + | 20.4831i | 0.580556 | + | 0.655312i | 0.963264 | − | 0.268557i | \(-0.0865468\pi\) |
−0.382708 | + | 0.923870i | \(0.625008\pi\) | |||||||
\(978\) | −29.5052 | + | 21.8615i | −0.943473 | + | 0.699054i | ||||
\(979\) | −4.48708 | + | 2.35500i | −0.143408 | + | 0.0752662i | ||||
\(980\) | −16.0580 | − | 0.971328i | −0.512953 | − | 0.0310279i | ||||
\(981\) | −1.06273 | + | 0.0713586i | −0.0339302 | + | 0.00227831i | ||||
\(982\) | −42.5304 | − | 37.6787i | −1.35720 | − | 1.20237i | ||||
\(983\) | 1.59280 | + | 26.3322i | 0.0508026 | + | 0.839866i | 0.930946 | + | 0.365158i | \(0.118985\pi\) |
−0.880143 | + | 0.474709i | \(0.842553\pi\) | |||||||
\(984\) | −1.96222 | + | 5.74802i | −0.0625532 | + | 0.183240i | ||||
\(985\) | −43.8174 | − | 19.7206i | −1.39614 | − | 0.628351i | ||||
\(986\) | −1.12310 | + | 1.62709i | −0.0357667 | + | 0.0518171i | ||||
\(987\) | −14.7676 | + | 9.61753i | −0.470057 | + | 0.306129i | ||||
\(988\) | 8.26648 | + | 68.0806i | 0.262992 | + | 2.16593i | ||||
\(989\) | −16.8826 | + | 32.1672i | −0.536837 | + | 1.02286i | ||||
\(990\) | −7.01219 | + | 7.10581i | −0.222862 | + | 0.225837i | ||||
\(991\) | −14.0629 | + | 15.8737i | −0.446721 | + | 0.504244i | −0.928132 | − | 0.372251i | \(-0.878586\pi\) |
0.481411 | + | 0.876495i | \(0.340124\pi\) | |||||||
\(992\) | −30.1744 | + | 30.1744i | −0.958039 | + | 0.958039i | ||||
\(993\) | 8.65762 | + | 55.6434i | 0.274741 | + | 1.76579i | ||||
\(994\) | 12.1698 | + | 32.0892i | 0.386003 | + | 1.01781i | ||||
\(995\) | 10.6930 | − | 6.46414i | 0.338991 | − | 0.204927i | ||||
\(996\) | −5.82379 | − | 61.8134i | −0.184534 | − | 1.95863i | ||||
\(997\) | 35.1454 | + | 27.5347i | 1.11307 | + | 0.872033i | 0.992690 | − | 0.120695i | \(-0.0385125\pi\) |
0.120378 | + | 0.992728i | \(0.461589\pi\) | |||||||
\(998\) | 27.0014 | − | 39.1182i | 0.854713 | − | 1.23827i | ||||
\(999\) | −22.0084 | + | 23.8508i | −0.696314 | + | 0.754606i |
(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 | 471.2.s.a.2.7 | ✓ | 1200 | |
3.2 | odd | 2 | inner | 471.2.s.a.2.44 | yes | 1200 | |
157.79 | odd | 52 | inner | 471.2.s.a.236.44 | yes | 1200 | |
471.236 | even | 52 | inner | 471.2.s.a.236.7 | yes | 1200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
471.2.s.a.2.7 | ✓ | 1200 | 1.1 | even | 1 | trivial | |
471.2.s.a.2.44 | yes | 1200 | 3.2 | odd | 2 | inner | |
471.2.s.a.236.7 | yes | 1200 | 471.236 | even | 52 | inner | |
471.2.s.a.236.44 | yes | 1200 | 157.79 | odd | 52 | inner |