Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Character | \(\chi\) | \(=\) | 81.25 |
Dual form | 81.2.g.a.13.1 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{23}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.38576 | + | 1.19817i | −1.68699 | + | 0.847237i | −0.695278 | + | 0.718741i | \(0.744719\pi\) |
−0.991710 | + | 0.128497i | \(0.958985\pi\) | |||||||
\(3\) | 1.71560 | + | 0.238151i | 0.990502 | + | 0.137497i | ||||
\(4\) | 3.06192 | − | 4.11287i | 1.53096 | − | 2.05644i | ||||
\(5\) | 0.727126 | − | 2.42877i | 0.325181 | − | 1.08618i | −0.626585 | − | 0.779353i | \(-0.715548\pi\) |
0.951766 | − | 0.306826i | \(-0.0992670\pi\) | |||||||
\(6\) | −4.37836 | + | 1.48742i | −1.78746 | + | 0.607235i | ||||
\(7\) | 0.202369 | − | 0.469143i | 0.0764882 | − | 0.177320i | −0.875682 | − | 0.482889i | \(-0.839588\pi\) |
0.952170 | + | 0.305569i | \(0.0988468\pi\) | |||||||
\(8\) | −1.44988 | + | 8.22270i | −0.512611 | + | 2.90716i | ||||
\(9\) | 2.88657 | + | 0.817145i | 0.962189 | + | 0.272382i | ||||
\(10\) | 1.17534 | + | 6.66569i | 0.371676 | + | 2.10788i | ||||
\(11\) | 1.49541 | + | 0.354419i | 0.450883 | + | 0.106861i | 0.449782 | − | 0.893138i | \(-0.351502\pi\) |
0.00110057 | + | 0.999999i | \(0.499650\pi\) | |||||||
\(12\) | 6.23252 | − | 6.32684i | 1.79917 | − | 1.82640i | ||||
\(13\) | −4.71325 | + | 3.09996i | −1.30722 | + | 0.859773i | −0.995894 | − | 0.0905298i | \(-0.971144\pi\) |
−0.311327 | + | 0.950303i | \(0.600774\pi\) | |||||||
\(14\) | 0.0793122 | + | 1.36174i | 0.0211971 | + | 0.363940i | ||||
\(15\) | 1.82587 | − | 3.99363i | 0.471438 | − | 1.03115i | ||||
\(16\) | −3.45199 | − | 11.5305i | −0.862998 | − | 2.88261i | ||||
\(17\) | −1.33086 | − | 0.484393i | −0.322781 | − | 0.117483i | 0.175548 | − | 0.984471i | \(-0.443830\pi\) |
−0.498328 | + | 0.866988i | \(0.666053\pi\) | |||||||
\(18\) | −7.86575 | + | 1.50910i | −1.85397 | + | 0.355698i | ||||
\(19\) | 0.986977 | − | 0.359230i | 0.226428 | − | 0.0824131i | −0.226315 | − | 0.974054i | \(-0.572668\pi\) |
0.452743 | + | 0.891641i | \(0.350446\pi\) | |||||||
\(20\) | −7.76282 | − | 10.4273i | −1.73582 | − | 2.33161i | ||||
\(21\) | 0.458911 | − | 0.756668i | 0.100143 | − | 0.165119i | ||||
\(22\) | −3.99235 | + | 0.946204i | −0.851171 | + | 0.201731i | ||||
\(23\) | 0.103125 | + | 0.239071i | 0.0215031 | + | 0.0498497i | 0.928629 | − | 0.371009i | \(-0.120988\pi\) |
−0.907126 | + | 0.420859i | \(0.861729\pi\) | |||||||
\(24\) | −4.44567 | + | 13.7616i | −0.907468 | + | 2.80907i | ||||
\(25\) | −1.19278 | − | 0.784502i | −0.238555 | − | 0.156900i | ||||
\(26\) | 7.53041 | − | 13.0431i | 1.47684 | − | 2.55795i | ||||
\(27\) | 4.75759 | + | 2.08933i | 0.915599 | + | 0.402093i | ||||
\(28\) | −1.30989 | − | 2.26880i | −0.247546 | − | 0.428762i | ||||
\(29\) | −0.103412 | + | 1.77552i | −0.0192031 | + | 0.329705i | 0.975001 | + | 0.222199i | \(0.0713235\pi\) |
−0.994204 | + | 0.107506i | \(0.965713\pi\) | |||||||
\(30\) | 0.428972 | + | 11.7156i | 0.0783193 | + | 2.13896i | ||||
\(31\) | −5.13181 | − | 0.599822i | −0.921700 | − | 0.107731i | −0.358010 | − | 0.933718i | \(-0.616545\pi\) |
−0.563690 | + | 0.825986i | \(0.690619\pi\) | |||||||
\(32\) | 10.5915 | + | 11.2264i | 1.87233 | + | 1.98456i | ||||
\(33\) | 2.48112 | + | 0.964174i | 0.431908 | + | 0.167841i | ||||
\(34\) | 3.75550 | − | 0.438955i | 0.644063 | − | 0.0752802i | ||||
\(35\) | −0.992294 | − | 0.832634i | −0.167728 | − | 0.140741i | ||||
\(36\) | 12.1993 | − | 9.37005i | 2.03321 | − | 1.56168i | ||||
\(37\) | −5.04999 | + | 4.23745i | −0.830214 | + | 0.696632i | −0.955340 | − | 0.295509i | \(-0.904511\pi\) |
0.125126 | + | 0.992141i | \(0.460066\pi\) | |||||||
\(38\) | −1.92427 | + | 2.03961i | −0.312158 | + | 0.330868i | ||||
\(39\) | −8.82432 | + | 4.19582i | −1.41302 | + | 0.671868i | ||||
\(40\) | 18.9168 | + | 9.50037i | 2.99101 | + | 1.50214i | ||||
\(41\) | −6.03866 | − | 3.03273i | −0.943080 | − | 0.473633i | −0.0903071 | − | 0.995914i | \(-0.528785\pi\) |
−0.852773 | + | 0.522281i | \(0.825081\pi\) | |||||||
\(42\) | −0.188232 | + | 2.35509i | −0.0290448 | + | 0.363398i | ||||
\(43\) | 4.19282 | − | 4.44412i | 0.639398 | − | 0.677723i | −0.323920 | − | 0.946085i | \(-0.605001\pi\) |
0.963318 | + | 0.268362i | \(0.0864823\pi\) | |||||||
\(44\) | 6.03650 | − | 5.06523i | 0.910037 | − | 0.763612i | ||||
\(45\) | 4.08356 | − | 6.41665i | 0.608741 | − | 0.956537i | ||||
\(46\) | −0.532481 | − | 0.446804i | −0.0785100 | − | 0.0658777i | ||||
\(47\) | −7.26206 | + | 0.848813i | −1.05928 | + | 0.123812i | −0.627850 | − | 0.778334i | \(-0.716065\pi\) |
−0.431430 | + | 0.902146i | \(0.641991\pi\) | |||||||
\(48\) | −3.17624 | − | 20.6038i | −0.458451 | − | 2.97390i | ||||
\(49\) | 4.62455 | + | 4.90174i | 0.660650 | + | 0.700248i | ||||
\(50\) | 3.78565 | + | 0.442479i | 0.535372 | + | 0.0625760i | ||||
\(51\) | −2.16786 | − | 1.14797i | −0.303562 | − | 0.160748i | ||||
\(52\) | −1.68188 | + | 28.8768i | −0.233235 | + | 4.00449i | ||||
\(53\) | 4.74440 | + | 8.21755i | 0.651694 | + | 1.12877i | 0.982712 | + | 0.185142i | \(0.0592746\pi\) |
−0.331018 | + | 0.943624i | \(0.607392\pi\) | |||||||
\(54\) | −13.8539 | + | 0.715772i | −1.88527 | + | 0.0974043i | ||||
\(55\) | 1.94815 | − | 3.37430i | 0.262689 | − | 0.454991i | ||||
\(56\) | 3.56421 | + | 2.34422i | 0.476288 | + | 0.313259i | ||||
\(57\) | 1.77881 | − | 0.381246i | 0.235609 | − | 0.0504972i | ||||
\(58\) | −1.88066 | − | 4.35987i | −0.246943 | − | 0.572479i | ||||
\(59\) | −4.82144 | + | 1.14270i | −0.627698 | + | 0.148767i | −0.532140 | − | 0.846657i | \(-0.678612\pi\) |
−0.0955586 | + | 0.995424i | \(0.530464\pi\) | |||||||
\(60\) | −10.8346 | − | 19.7378i | −1.39874 | − | 2.54813i | ||||
\(61\) | −7.70381 | − | 10.3480i | −0.986372 | − | 1.32493i | −0.945451 | − | 0.325766i | \(-0.894378\pi\) |
−0.0409219 | − | 0.999162i | \(-0.513029\pi\) | |||||||
\(62\) | 12.9620 | − | 4.71777i | 1.64617 | − | 0.599157i | ||||
\(63\) | 0.967509 | − | 1.18885i | 0.121895 | − | 0.149781i | ||||
\(64\) | −16.0995 | − | 5.85975i | −2.01244 | − | 0.732468i | ||||
\(65\) | 4.10195 | + | 13.7015i | 0.508784 | + | 1.69946i | ||||
\(66\) | −7.07461 | + | 0.672524i | −0.870824 | + | 0.0827820i | ||||
\(67\) | −0.373231 | − | 6.40814i | −0.0455975 | − | 0.782878i | −0.941164 | − | 0.337951i | \(-0.890266\pi\) |
0.895566 | − | 0.444928i | \(-0.146771\pi\) | |||||||
\(68\) | −6.06723 | + | 3.99048i | −0.735760 | + | 0.483917i | ||||
\(69\) | 0.119986 | + | 0.434709i | 0.0144447 | + | 0.0523329i | ||||
\(70\) | 3.36502 | + | 0.797524i | 0.402197 | + | 0.0953223i | ||||
\(71\) | −0.896716 | − | 5.08553i | −0.106421 | − | 0.603541i | −0.990643 | − | 0.136476i | \(-0.956422\pi\) |
0.884223 | − | 0.467065i | \(-0.154689\pi\) | |||||||
\(72\) | −10.9043 | + | 22.5506i | −1.28509 | + | 2.65761i | ||||
\(73\) | −1.03528 | + | 5.87137i | −0.121171 | + | 0.687192i | 0.862338 | + | 0.506332i | \(0.168999\pi\) |
−0.983509 | + | 0.180860i | \(0.942112\pi\) | |||||||
\(74\) | 6.97088 | − | 16.1603i | 0.810348 | − | 1.87860i | ||||
\(75\) | −1.85950 | − | 1.62995i | −0.214716 | − | 0.188211i | ||||
\(76\) | 1.54458 | − | 5.15924i | 0.177175 | − | 0.591806i | ||||
\(77\) | 0.468897 | − | 0.629838i | 0.0534358 | − | 0.0717767i | ||||
\(78\) | 16.0254 | − | 20.5833i | 1.81452 | − | 2.33060i | ||||
\(79\) | 8.88455 | − | 4.46199i | 0.999590 | − | 0.502013i | 0.127751 | − | 0.991806i | \(-0.459224\pi\) |
0.871838 | + | 0.489793i | \(0.162928\pi\) | |||||||
\(80\) | −30.5149 | −3.41167 | ||||||||
\(81\) | 7.66455 | + | 4.71749i | 0.851616 | + | 0.524165i | ||||
\(82\) | 18.0405 | 1.99224 | ||||||||
\(83\) | 11.5744 | − | 5.81289i | 1.27046 | − | 0.638048i | 0.319564 | − | 0.947565i | \(-0.396464\pi\) |
0.950894 | + | 0.309517i | \(0.100167\pi\) | |||||||
\(84\) | −1.70693 | − | 4.20430i | −0.186241 | − | 0.458727i | ||||
\(85\) | −2.14418 | + | 2.88014i | −0.232569 | + | 0.312395i | ||||
\(86\) | −4.67822 | + | 15.6263i | −0.504466 | + | 1.68503i | ||||
\(87\) | −0.600256 | + | 3.02145i | −0.0643542 | + | 0.323933i | ||||
\(88\) | −5.08245 | + | 11.7824i | −0.541790 | + | 1.25601i | ||||
\(89\) | −1.71260 | + | 9.71264i | −0.181535 | + | 1.02954i | 0.748791 | + | 0.662806i | \(0.230634\pi\) |
−0.930327 | + | 0.366732i | \(0.880477\pi\) | |||||||
\(90\) | −2.05414 | + | 20.2014i | −0.216525 | + | 2.12941i | ||||
\(91\) | 0.500509 | + | 2.83853i | 0.0524676 | + | 0.297558i | ||||
\(92\) | 1.29903 | + | 0.307875i | 0.135433 | + | 0.0320982i | ||||
\(93\) | −8.66128 | − | 2.25120i | −0.898133 | − | 0.233439i | ||||
\(94\) | 16.3085 | − | 10.7263i | 1.68209 | − | 1.10633i | ||||
\(95\) | −0.154831 | − | 2.65835i | −0.0158853 | − | 0.272741i | ||||
\(96\) | 15.4972 | + | 21.7823i | 1.58168 | + | 2.22315i | ||||
\(97\) | 1.03163 | + | 3.44589i | 0.104746 | + | 0.349877i | 0.994254 | − | 0.107042i | \(-0.0341380\pi\) |
−0.889508 | + | 0.456919i | \(0.848953\pi\) | |||||||
\(98\) | −16.9062 | − | 6.15336i | −1.70778 | − | 0.621583i | ||||
\(99\) | 4.02699 | + | 2.24502i | 0.404728 | + | 0.225633i | ||||
\(100\) | −6.87874 | + | 2.50366i | −0.687874 | + | 0.250366i | ||||
\(101\) | 10.6434 | + | 14.2965i | 1.05906 | + | 1.42256i | 0.900315 | + | 0.435239i | \(0.143336\pi\) |
0.158741 | + | 0.987320i | \(0.449256\pi\) | |||||||
\(102\) | 6.54747 | + | 0.141306i | 0.648297 | + | 0.0139914i | ||||
\(103\) | 4.20113 | − | 0.995685i | 0.413949 | − | 0.0981078i | −0.0183637 | − | 0.999831i | \(-0.505846\pi\) |
0.432313 | + | 0.901724i | \(0.357698\pi\) | |||||||
\(104\) | −18.6563 | − | 43.2502i | −1.82940 | − | 4.24103i | ||||
\(105\) | −1.50409 | − | 1.66478i | −0.146784 | − | 0.162466i | ||||
\(106\) | −21.1651 | − | 13.9205i | −2.05573 | − | 1.35208i | ||||
\(107\) | 3.98940 | − | 6.90985i | 0.385670 | − | 0.668000i | −0.606192 | − | 0.795319i | \(-0.707304\pi\) |
0.991862 | + | 0.127318i | \(0.0406369\pi\) | |||||||
\(108\) | 23.1605 | − | 13.1700i | 2.22862 | − | 1.26728i | ||||
\(109\) | 0.106432 | + | 0.184345i | 0.0101943 | + | 0.0176571i | 0.871078 | − | 0.491145i | \(-0.163422\pi\) |
−0.860883 | + | 0.508803i | \(0.830088\pi\) | |||||||
\(110\) | −0.604829 | + | 10.3845i | −0.0576681 | + | 0.990124i | ||||
\(111\) | −9.67292 | + | 6.06710i | −0.918113 | + | 0.575864i | ||||
\(112\) | −6.10801 | − | 0.713924i | −0.577153 | − | 0.0674595i | ||||
\(113\) | −3.80609 | − | 4.03422i | −0.358047 | − | 0.379508i | 0.523163 | − | 0.852233i | \(-0.324752\pi\) |
−0.881210 | + | 0.472725i | \(0.843270\pi\) | |||||||
\(114\) | −3.78702 | + | 3.04088i | −0.354687 | + | 0.284805i | ||||
\(115\) | 0.655633 | − | 0.0766326i | 0.0611381 | − | 0.00714602i | ||||
\(116\) | 6.98584 | + | 5.86181i | 0.648619 | + | 0.544256i | ||||
\(117\) | −16.1382 | + | 5.09682i | −1.49198 | + | 0.471201i | ||||
\(118\) | 10.1337 | − | 8.50315i | 0.932878 | − | 0.782778i | ||||
\(119\) | −0.496574 | + | 0.526338i | −0.0455209 | + | 0.0482493i | ||||
\(120\) | 30.1911 | + | 20.8039i | 2.75606 | + | 1.89913i | ||||
\(121\) | −7.71932 | − | 3.87679i | −0.701756 | − | 0.352435i | ||||
\(122\) | 30.7782 | + | 15.4574i | 2.78653 | + | 1.39945i | ||||
\(123\) | −9.63768 | − | 6.64107i | −0.869000 | − | 0.598805i | ||||
\(124\) | −18.1802 | + | 19.2699i | −1.63263 | + | 1.73048i | ||||
\(125\) | 6.93801 | − | 5.82168i | 0.620554 | − | 0.520707i | ||||
\(126\) | −0.883797 | + | 3.99556i | −0.0787349 | + | 0.355952i | ||||
\(127\) | −13.9870 | − | 11.7365i | −1.24115 | − | 1.04145i | −0.997434 | − | 0.0715979i | \(-0.977190\pi\) |
−0.243713 | − | 0.969847i | \(-0.578365\pi\) | |||||||
\(128\) | 14.7711 | − | 1.72650i | 1.30560 | − | 0.152602i | ||||
\(129\) | 8.25157 | − | 6.62582i | 0.726510 | − | 0.583371i | ||||
\(130\) | −26.2030 | − | 27.7736i | −2.29816 | − | 2.43591i | ||||
\(131\) | −7.98597 | − | 0.933426i | −0.697738 | − | 0.0815538i | −0.240173 | − | 0.970730i | \(-0.577204\pi\) |
−0.457565 | + | 0.889176i | \(0.651278\pi\) | |||||||
\(132\) | 11.5625 | − | 7.25230i | 1.00639 | − | 0.631232i | ||||
\(133\) | 0.0312028 | − | 0.535731i | 0.00270562 | − | 0.0464537i | ||||
\(134\) | 8.56851 | + | 14.8411i | 0.740206 | + | 1.28207i | ||||
\(135\) | 8.53389 | − | 10.0359i | 0.734480 | − | 0.863752i | ||||
\(136\) | 5.91261 | − | 10.2409i | 0.507002 | − | 0.878153i | ||||
\(137\) | −7.12884 | − | 4.68871i | −0.609058 | − | 0.400583i | 0.207177 | − | 0.978303i | \(-0.433572\pi\) |
−0.816235 | + | 0.577720i | \(0.803943\pi\) | |||||||
\(138\) | −0.807117 | − | 0.893348i | −0.0687063 | − | 0.0760469i | ||||
\(139\) | 5.16860 | + | 11.9822i | 0.438395 | + | 1.01631i | 0.983983 | + | 0.178260i | \(0.0570469\pi\) |
−0.545588 | + | 0.838053i | \(0.683694\pi\) | |||||||
\(140\) | −6.46284 | + | 1.53172i | −0.546210 | + | 0.129454i | ||||
\(141\) | −12.6609 | − | 0.273246i | −1.06624 | − | 0.0230114i | ||||
\(142\) | 8.23270 | + | 11.0584i | 0.690873 | + | 0.928003i | ||||
\(143\) | −8.14693 | + | 2.96524i | −0.681280 | + | 0.247966i | ||||
\(144\) | −0.542354 | − | 36.1042i | −0.0451962 | − | 3.00869i | ||||
\(145\) | 4.23713 | + | 1.54219i | 0.351875 | + | 0.128072i | ||||
\(146\) | −4.56500 | − | 15.2481i | −0.377802 | − | 1.26195i | ||||
\(147\) | 6.76652 | + | 9.51076i | 0.558093 | + | 0.784434i | ||||
\(148\) | 1.96540 | + | 33.7447i | 0.161555 | + | 2.77380i | ||||
\(149\) | 13.6307 | − | 8.96505i | 1.11667 | − | 0.734446i | 0.149547 | − | 0.988755i | \(-0.452218\pi\) |
0.967123 | + | 0.254309i | \(0.0818480\pi\) | |||||||
\(150\) | 6.38929 | + | 1.66068i | 0.521683 | + | 0.135594i | ||||
\(151\) | 21.0726 | + | 4.99431i | 1.71487 | + | 0.406431i | 0.966462 | − | 0.256811i | \(-0.0826718\pi\) |
0.748405 | + | 0.663242i | \(0.230820\pi\) | |||||||
\(152\) | 1.52284 | + | 8.63645i | 0.123519 | + | 0.700509i | ||||
\(153\) | −3.44580 | − | 2.48574i | −0.278576 | − | 0.200960i | ||||
\(154\) | −0.364021 | + | 2.06446i | −0.0293336 | + | 0.166359i | ||||
\(155\) | −5.18830 | + | 12.0278i | −0.416735 | + | 0.966100i | ||||
\(156\) | −9.76249 | + | 49.1405i | −0.781625 | + | 3.93439i | ||||
\(157\) | 0.723891 | − | 2.41796i | 0.0577728 | − | 0.192974i | −0.924232 | − | 0.381832i | \(-0.875293\pi\) |
0.982004 | + | 0.188858i | \(0.0604785\pi\) | |||||||
\(158\) | −15.8502 | + | 21.2905i | −1.26097 | + | 1.69378i | ||||
\(159\) | 6.18248 | + | 15.2279i | 0.490302 | + | 1.20765i | ||||
\(160\) | 34.9676 | − | 17.5614i | 2.76443 | − | 1.38835i | ||||
\(161\) | 0.133028 | 0.0104841 | ||||||||
\(162\) | −23.9382 | − | 2.07134i | −1.88076 | − | 0.162740i | ||||
\(163\) | 7.30888 | 0.572476 | 0.286238 | − | 0.958159i | \(-0.407595\pi\) | ||||
0.286238 | + | 0.958159i | \(0.407595\pi\) | |||||||
\(164\) | −30.9631 | + | 15.5503i | −2.41781 | + | 1.21427i | ||||
\(165\) | 4.14585 | − | 5.32500i | 0.322754 | − | 0.414550i | ||||
\(166\) | −20.6490 | + | 27.7364i | −1.60267 | + | 2.15276i | ||||
\(167\) | 1.83892 | − | 6.14244i | 0.142300 | − | 0.475316i | −0.856892 | − | 0.515496i | \(-0.827608\pi\) |
0.999192 | + | 0.0401796i | \(0.0127930\pi\) | |||||||
\(168\) | 5.55648 | + | 4.87056i | 0.428692 | + | 0.375772i | ||||
\(169\) | 7.45599 | − | 17.2849i | 0.573538 | − | 1.32961i | ||||
\(170\) | 1.66460 | − | 9.44043i | 0.127669 | − | 0.724048i | ||||
\(171\) | 3.14252 | − | 0.230439i | 0.240314 | − | 0.0176221i | ||||
\(172\) | −5.44005 | − | 30.8521i | −0.414800 | − | 2.35245i | ||||
\(173\) | −4.75678 | − | 1.12738i | −0.361651 | − | 0.0857129i | 0.0457733 | − | 0.998952i | \(-0.485425\pi\) |
−0.407424 | + | 0.913239i | \(0.633573\pi\) | |||||||
\(174\) | −2.18816 | − | 7.92767i | −0.165884 | − | 0.600995i | ||||
\(175\) | −0.609425 | + | 0.400825i | −0.0460682 | + | 0.0302995i | ||||
\(176\) | −1.07553 | − | 18.4662i | −0.0810714 | − | 1.39194i | ||||
\(177\) | −8.54380 | + | 0.812188i | −0.642192 | + | 0.0610478i | ||||
\(178\) | −7.55158 | − | 25.2240i | −0.566015 | − | 1.89062i | ||||
\(179\) | 0.481678 | + | 0.175316i | 0.0360023 | + | 0.0131038i | 0.359959 | − | 0.932968i | \(-0.382791\pi\) |
−0.323956 | + | 0.946072i | \(0.605013\pi\) | |||||||
\(180\) | −13.8873 | − | 36.4424i | −1.03510 | − | 2.71626i | ||||
\(181\) | 3.55046 | − | 1.29226i | 0.263904 | − | 0.0960531i | −0.206680 | − | 0.978409i | \(-0.566266\pi\) |
0.470583 | + | 0.882356i | \(0.344044\pi\) | |||||||
\(182\) | −4.59514 | − | 6.17235i | −0.340615 | − | 0.457525i | ||||
\(183\) | −10.7523 | − | 19.5877i | −0.794831 | − | 1.44797i | ||||
\(184\) | −2.11533 | + | 0.501342i | −0.155944 | + | 0.0369594i | ||||
\(185\) | 6.61981 | + | 15.3464i | 0.486698 | + | 1.12829i | ||||
\(186\) | 23.3611 | − | 5.00690i | 1.71292 | − | 0.367123i | ||||
\(187\) | −1.81850 | − | 1.19605i | −0.132982 | − | 0.0874636i | ||||
\(188\) | −18.7448 | + | 32.4669i | −1.36710 | + | 2.36789i | ||||
\(189\) | 1.94299 | − | 1.80918i | 0.141331 | − | 0.131598i | ||||
\(190\) | 3.55455 | + | 6.15667i | 0.257874 | + | 0.446652i | ||||
\(191\) | 1.31763 | − | 22.6229i | 0.0953406 | − | 1.63693i | −0.523933 | − | 0.851759i | \(-0.675536\pi\) |
0.619274 | − | 0.785175i | \(-0.287427\pi\) | |||||||
\(192\) | −26.2248 | − | 13.8871i | −1.89261 | − | 1.00222i | ||||
\(193\) | 5.68482 | + | 0.664460i | 0.409202 | + | 0.0478289i | 0.318204 | − | 0.948022i | \(-0.396920\pi\) |
0.0909979 | + | 0.995851i | \(0.470994\pi\) | |||||||
\(194\) | −6.59000 | − | 6.98499i | −0.473134 | − | 0.501493i | ||||
\(195\) | 3.77428 | + | 24.4831i | 0.270282 | + | 1.75327i | ||||
\(196\) | 34.3202 | − | 4.01146i | 2.45144 | − | 0.286533i | ||||
\(197\) | −1.85381 | − | 1.55553i | −0.132078 | − | 0.110827i | 0.574356 | − | 0.818606i | \(-0.305253\pi\) |
−0.706434 | + | 0.707779i | \(0.749697\pi\) | |||||||
\(198\) | −12.2974 | − | 0.531046i | −0.873936 | − | 0.0377398i | ||||
\(199\) | −7.49610 | + | 6.28997i | −0.531384 | + | 0.445884i | −0.868579 | − | 0.495550i | \(-0.834966\pi\) |
0.337195 | + | 0.941435i | \(0.390522\pi\) | |||||||
\(200\) | 8.18011 | − | 8.67041i | 0.578421 | − | 0.613091i | ||||
\(201\) | 0.885790 | − | 11.0827i | 0.0624788 | − | 0.781712i | ||||
\(202\) | −42.5223 | − | 21.3555i | −2.99186 | − | 1.50257i | ||||
\(203\) | 0.812045 | + | 0.407824i | 0.0569944 | + | 0.0286236i | ||||
\(204\) | −11.3593 | + | 5.40115i | −0.795309 | + | 0.378156i | ||||
\(205\) | −11.7567 | + | 12.4613i | −0.821122 | + | 0.870338i | ||||
\(206\) | −8.82988 | + | 7.40915i | −0.615207 | + | 0.516220i | ||||
\(207\) | 0.102322 | + | 0.774363i | 0.00711187 | + | 0.0538219i | ||||
\(208\) | 52.0140 | + | 43.6449i | 3.60652 | + | 3.02623i | ||||
\(209\) | 1.60325 | − | 0.187393i | 0.110899 | − | 0.0129623i | ||||
\(210\) | 5.58309 | + | 2.16962i | 0.385270 | + | 0.149718i | ||||
\(211\) | 13.4585 | + | 14.2651i | 0.926518 | + | 0.982052i | 0.999884 | − | 0.0152532i | \(-0.00485543\pi\) |
−0.0733655 | + | 0.997305i | \(0.523374\pi\) | |||||||
\(212\) | 48.3247 | + | 5.64835i | 3.31895 | + | 0.387930i | ||||
\(213\) | −0.327280 | − | 8.93829i | −0.0224249 | − | 0.612441i | ||||
\(214\) | −1.23856 | + | 21.2653i | −0.0846662 | + | 1.45366i | ||||
\(215\) | −7.74505 | − | 13.4148i | −0.528208 | − | 0.914884i | ||||
\(216\) | −24.0779 | + | 36.0909i | −1.63829 | + | 2.45568i | ||||
\(217\) | −1.31992 | + | 2.28617i | −0.0896020 | + | 0.155195i | ||||
\(218\) | −0.474799 | − | 0.312280i | −0.0321574 | − | 0.0211503i | ||||
\(219\) | −3.17440 | + | 9.82638i | −0.214506 | + | 0.664005i | ||||
\(220\) | −7.91298 | − | 18.3443i | −0.533493 | − | 1.23678i | ||||
\(221\) | 7.77427 | − | 1.84254i | 0.522954 | − | 0.123942i | ||||
\(222\) | 15.8078 | − | 26.0645i | 1.06095 | − | 1.74934i | ||||
\(223\) | 1.56459 | + | 2.10161i | 0.104773 | + | 0.140734i | 0.851417 | − | 0.524489i | \(-0.175744\pi\) |
−0.746644 | + | 0.665223i | \(0.768336\pi\) | |||||||
\(224\) | 7.41017 | − | 2.69708i | 0.495113 | − | 0.180206i | ||||
\(225\) | −2.80198 | − | 3.23919i | −0.186799 | − | 0.215946i | ||||
\(226\) | 13.9141 | + | 5.06433i | 0.925555 | + | 0.336874i | ||||
\(227\) | −0.354239 | − | 1.18324i | −0.0235117 | − | 0.0785344i | 0.945429 | − | 0.325829i | \(-0.105644\pi\) |
−0.968940 | + | 0.247295i | \(0.920458\pi\) | |||||||
\(228\) | 3.87856 | − | 8.48336i | 0.256864 | − | 0.561824i | ||||
\(229\) | −0.284859 | − | 4.89085i | −0.0188240 | − | 0.323196i | −0.994554 | − | 0.104220i | \(-0.966765\pi\) |
0.975730 | − | 0.218976i | \(-0.0702717\pi\) | |||||||
\(230\) | −1.47237 | + | 0.968390i | −0.0970849 | + | 0.0638538i | ||||
\(231\) | 0.954437 | − | 0.968882i | 0.0627973 | − | 0.0637478i | ||||
\(232\) | −14.4496 | − | 3.42462i | −0.948663 | − | 0.224837i | ||||
\(233\) | −0.664049 | − | 3.76601i | −0.0435033 | − | 0.246719i | 0.955299 | − | 0.295640i | \(-0.0955329\pi\) |
−0.998803 | + | 0.0489208i | \(0.984422\pi\) | |||||||
\(234\) | 32.3951 | − | 31.4962i | 2.11773 | − | 2.05897i | ||||
\(235\) | −3.21886 | + | 18.2551i | −0.209975 | + | 1.19083i | ||||
\(236\) | −10.0631 | + | 23.3288i | −0.655051 | + | 1.51858i | ||||
\(237\) | 16.3050 | − | 5.53912i | 1.05912 | − | 0.359804i | ||||
\(238\) | 0.554063 | − | 1.85070i | 0.0359146 | − | 0.119963i | ||||
\(239\) | −5.40255 | + | 7.25689i | −0.349462 | + | 0.469409i | −0.941748 | − | 0.336319i | \(-0.890818\pi\) |
0.592286 | + | 0.805728i | \(0.298226\pi\) | |||||||
\(240\) | −52.3513 | − | 7.26716i | −3.37926 | − | 0.469093i | ||||
\(241\) | −20.9343 | + | 10.5136i | −1.34849 | + | 0.677239i | −0.968793 | − | 0.247870i | \(-0.920269\pi\) |
−0.379701 | + | 0.925109i | \(0.623973\pi\) | |||||||
\(242\) | 23.0615 | 1.48245 | ||||||||
\(243\) | 12.0258 | + | 9.91865i | 0.771457 | + | 0.636282i | ||||
\(244\) | −66.1485 | −4.23473 | ||||||||
\(245\) | 15.2678 | − | 7.66779i | 0.975426 | − | 0.489877i | ||||
\(246\) | 30.9504 | + | 4.29638i | 1.97332 | + | 0.273927i | ||||
\(247\) | −3.53827 | + | 4.75273i | −0.225135 | + | 0.302409i | ||||
\(248\) | 12.3727 | − | 41.3276i | 0.785666 | − | 2.62431i | ||||
\(249\) | 21.2414 | − | 7.21614i | 1.34612 | − | 0.457304i | ||||
\(250\) | −9.57704 | + | 22.2021i | −0.605705 | + | 1.40418i | ||||
\(251\) | −2.14133 | + | 12.1441i | −0.135160 | + | 0.766530i | 0.839588 | + | 0.543223i | \(0.182796\pi\) |
−0.974748 | + | 0.223307i | \(0.928315\pi\) | |||||||
\(252\) | −1.92715 | − | 7.61940i | −0.121399 | − | 0.479977i | ||||
\(253\) | 0.0694831 | + | 0.394058i | 0.00436837 | + | 0.0247742i | ||||
\(254\) | 47.4320 | + | 11.2416i | 2.97615 | + | 0.705361i | ||||
\(255\) | −4.36447 | + | 4.43052i | −0.273314 | + | 0.277450i | ||||
\(256\) | −4.54335 | + | 2.98821i | −0.283959 | + | 0.186763i | ||||
\(257\) | −1.71411 | − | 29.4301i | −0.106923 | − | 1.83580i | −0.445989 | − | 0.895039i | \(-0.647148\pi\) |
0.339066 | − | 0.940763i | \(-0.389889\pi\) | |||||||
\(258\) | −11.7474 | + | 25.6944i | −0.731361 | + | 1.59967i | ||||
\(259\) | 0.966010 | + | 3.22670i | 0.0600249 | + | 0.200497i | ||||
\(260\) | 68.9122 | + | 25.0820i | 4.27376 | + | 1.55552i | ||||
\(261\) | −1.74936 | + | 5.04065i | −0.108283 | + | 0.312008i | ||||
\(262\) | 20.1710 | − | 7.34166i | 1.24617 | − | 0.453569i | ||||
\(263\) | −12.2951 | − | 16.5151i | −0.758145 | − | 1.01837i | −0.998858 | − | 0.0477695i | \(-0.984789\pi\) |
0.240713 | − | 0.970596i | \(-0.422619\pi\) | |||||||
\(264\) | −11.5254 | + | 19.0036i | −0.709342 | + | 1.16959i | ||||
\(265\) | 23.4083 | − | 5.54787i | 1.43796 | − | 0.340803i | ||||
\(266\) | 0.567456 | + | 1.31551i | 0.0347930 | + | 0.0806592i | ||||
\(267\) | −5.25121 | + | 16.2551i | −0.321369 | + | 0.994799i | ||||
\(268\) | −27.4986 | − | 18.0861i | −1.67975 | − | 1.10479i | ||||
\(269\) | −6.08593 | + | 10.5411i | −0.371066 | + | 0.642705i | −0.989730 | − | 0.142951i | \(-0.954341\pi\) |
0.618664 | + | 0.785656i | \(0.287674\pi\) | |||||||
\(270\) | −8.33507 | + | 34.1683i | −0.507256 | + | 2.07942i | ||||
\(271\) | −11.5577 | − | 20.0185i | −0.702078 | − | 1.21603i | −0.967736 | − | 0.251967i | \(-0.918922\pi\) |
0.265658 | − | 0.964067i | \(-0.414411\pi\) | |||||||
\(272\) | −0.991159 | + | 17.0175i | −0.0600978 | + | 1.03184i | ||||
\(273\) | 0.182674 | + | 4.98897i | 0.0110559 | + | 0.301946i | ||||
\(274\) | 22.6256 | + | 2.64455i | 1.36686 | + | 0.159763i | ||||
\(275\) | −1.50565 | − | 1.59589i | −0.0907940 | − | 0.0962361i | ||||
\(276\) | 2.15529 | + | 0.837557i | 0.129733 | + | 0.0504150i | ||||
\(277\) | −1.35949 | + | 0.158902i | −0.0816840 | + | 0.00954749i | −0.156837 | − | 0.987625i | \(-0.550130\pi\) |
0.0751527 | + | 0.997172i | \(0.476056\pi\) | |||||||
\(278\) | −26.6878 | − | 22.3937i | −1.60063 | − | 1.34308i | ||||
\(279\) | −14.3232 | − | 5.92486i | −0.857506 | − | 0.354712i | ||||
\(280\) | 8.28520 | − | 6.95211i | 0.495136 | − | 0.415468i | ||||
\(281\) | 12.2869 | − | 13.0233i | 0.732972 | − | 0.776905i | −0.248475 | − | 0.968638i | \(-0.579929\pi\) |
0.981447 | + | 0.191733i | \(0.0614108\pi\) | |||||||
\(282\) | 30.5334 | − | 14.5181i | 1.81824 | − | 0.864541i | ||||
\(283\) | 8.71883 | + | 4.37876i | 0.518280 | + | 0.260290i | 0.688655 | − | 0.725089i | \(-0.258201\pi\) |
−0.170375 | + | 0.985379i | \(0.554498\pi\) | |||||||
\(284\) | −23.6618 | − | 11.8834i | −1.40407 | − | 0.705150i | ||||
\(285\) | 0.367461 | − | 4.59753i | 0.0217665 | − | 0.272334i | ||||
\(286\) | 15.8838 | − | 16.8358i | 0.939226 | − | 0.995521i | ||||
\(287\) | −2.64482 | + | 2.21927i | −0.156119 | + | 0.130999i | ||||
\(288\) | 21.3996 | + | 41.0605i | 1.26098 | + | 2.41951i | ||||
\(289\) | −11.4862 | − | 9.63807i | −0.675659 | − | 0.566945i | ||||
\(290\) | −11.9566 | + | 1.39753i | −0.702116 | + | 0.0820656i | ||||
\(291\) | 0.949224 | + | 6.15745i | 0.0556445 | + | 0.360956i | ||||
\(292\) | 20.9783 | + | 22.2357i | 1.22766 | + | 1.30124i | ||||
\(293\) | −3.05115 | − | 0.356629i | −0.178250 | − | 0.0208345i | 0.0264995 | − | 0.999649i | \(-0.491564\pi\) |
−0.204750 | + | 0.978814i | \(0.565638\pi\) | |||||||
\(294\) | −27.5389 | − | 14.5829i | −1.60610 | − | 0.850494i | ||||
\(295\) | −0.730434 | + | 12.5411i | −0.0425275 | + | 0.730169i | ||||
\(296\) | −27.5213 | − | 47.6684i | −1.59965 | − | 2.77067i | ||||
\(297\) | 6.37405 | + | 4.81059i | 0.369860 | + | 0.279139i | ||||
\(298\) | −21.7779 | + | 37.7204i | −1.26156 | + | 2.18509i | ||||
\(299\) | −1.22716 | − | 0.807118i | −0.0709687 | − | 0.0466769i | ||||
\(300\) | −12.3974 | + | 2.65709i | −0.715766 | + | 0.153407i | ||||
\(301\) | −1.23644 | − | 2.86638i | −0.0712670 | − | 0.165216i | ||||
\(302\) | −56.2583 | + | 13.3335i | −3.23730 | + | 0.767255i | ||||
\(303\) | 14.8550 | + | 27.0619i | 0.853400 | + | 1.55466i | ||||
\(304\) | −7.54913 | − | 10.1402i | −0.432972 | − | 0.581582i | ||||
\(305\) | −30.7346 | + | 11.1865i | −1.75986 | + | 0.640536i | ||||
\(306\) | 11.1992 | + | 1.80171i | 0.640215 | + | 0.102997i | ||||
\(307\) | 5.34825 | + | 1.94660i | 0.305241 | + | 0.111099i | 0.490099 | − | 0.871667i | \(-0.336960\pi\) |
−0.184859 | + | 0.982765i | \(0.559183\pi\) | |||||||
\(308\) | −1.15472 | − | 3.85703i | −0.0657962 | − | 0.219775i | ||||
\(309\) | 7.44458 | − | 0.707694i | 0.423507 | − | 0.0402593i | ||||
\(310\) | −2.03340 | − | 34.9121i | −0.115489 | − | 1.98287i | ||||
\(311\) | 2.71659 | − | 1.78673i | 0.154044 | − | 0.101316i | −0.470147 | − | 0.882588i | \(-0.655799\pi\) |
0.624191 | + | 0.781272i | \(0.285429\pi\) | |||||||
\(312\) | −21.7067 | − | 78.6431i | −1.22890 | − | 4.45229i | ||||
\(313\) | −9.20441 | − | 2.18148i | −0.520264 | − | 0.123305i | −0.0379098 | − | 0.999281i | \(-0.512070\pi\) |
−0.482354 | + | 0.875976i | \(0.660218\pi\) | |||||||
\(314\) | 1.17011 | + | 6.63603i | 0.0660332 | + | 0.374493i | ||||
\(315\) | −2.18394 | − | 3.21430i | −0.123051 | − | 0.181105i | ||||
\(316\) | 8.85219 | − | 50.2032i | 0.497974 | − | 2.82415i | ||||
\(317\) | 8.12346 | − | 18.8323i | 0.456259 | − | 1.05773i | −0.522486 | − | 0.852648i | \(-0.674995\pi\) |
0.978745 | − | 0.205080i | \(-0.0657454\pi\) | |||||||
\(318\) | −32.9956 | − | 28.9225i | −1.85030 | − | 1.62189i | ||||
\(319\) | −0.783920 | + | 2.61847i | −0.0438911 | + | 0.146606i | ||||
\(320\) | −25.9384 | + | 34.8413i | −1.45000 | + | 1.94769i | ||||
\(321\) | 8.48981 | − | 10.9045i | 0.473855 | − | 0.608627i | ||||
\(322\) | −0.317373 | + | 0.159391i | −0.0176865 | + | 0.00888249i | ||||
\(323\) | −1.48754 | −0.0827687 | ||||||||
\(324\) | 42.8707 | − | 17.0787i | 2.38170 | − | 0.948818i | ||||
\(325\) | 8.05378 | 0.446744 | ||||||||
\(326\) | −17.4372 | + | 8.75731i | −0.965760 | + | 0.485023i | ||||
\(327\) | 0.138692 | + | 0.341610i | 0.00766971 | + | 0.0188911i | ||||
\(328\) | 33.6926 | − | 45.2570i | 1.86036 | − | 2.49890i | ||||
\(329\) | −1.07140 | + | 3.57872i | −0.0590681 | + | 0.197301i | ||||
\(330\) | −3.51073 | + | 17.6716i | −0.193259 | + | 0.972791i | ||||
\(331\) | −2.73358 | + | 6.33714i | −0.150251 | + | 0.348321i | −0.976674 | − | 0.214730i | \(-0.931113\pi\) |
0.826423 | + | 0.563050i | \(0.190372\pi\) | |||||||
\(332\) | 11.5323 | − | 65.4027i | 0.632915 | − | 3.58944i | ||||
\(333\) | −18.0398 | + | 8.10510i | −0.988573 | + | 0.444157i | ||||
\(334\) | 2.97247 | + | 16.8577i | 0.162647 | + | 0.922415i | ||||
\(335\) | −15.8353 | − | 3.75303i | −0.865174 | − | 0.205050i | ||||
\(336\) | −10.3089 | − | 2.67944i | −0.562396 | − | 0.146175i | ||||
\(337\) | −22.6583 | + | 14.9026i | −1.23428 | + | 0.811796i | −0.987553 | − | 0.157290i | \(-0.949724\pi\) |
−0.246724 | + | 0.969086i | \(0.579354\pi\) | |||||||
\(338\) | 2.92215 | + | 50.1713i | 0.158944 | + | 2.72896i | ||||
\(339\) | −5.56898 | − | 7.82754i | −0.302465 | − | 0.425134i | ||||
\(340\) | 5.28032 | + | 17.6375i | 0.286366 | + | 0.956527i | ||||
\(341\) | −7.46157 | − | 2.71579i | −0.404067 | − | 0.147068i | ||||
\(342\) | −7.22120 | + | 4.31506i | −0.390478 | + | 0.233332i | ||||
\(343\) | 6.59630 | − | 2.40086i | 0.356166 | − | 0.129634i | ||||
\(344\) | 30.4636 | + | 40.9197i | 1.64249 | + | 2.20624i | ||||
\(345\) | 1.14306 | + | 0.0246692i | 0.0615400 | + | 0.00132814i | ||||
\(346\) | 12.6993 | − | 3.00980i | 0.682720 | − | 0.161808i | ||||
\(347\) | 9.19427 | + | 21.3147i | 0.493574 | + | 1.14423i | 0.964981 | + | 0.262318i | \(0.0844869\pi\) |
−0.471407 | + | 0.881916i | \(0.656254\pi\) | |||||||
\(348\) | 10.5889 | + | 11.7202i | 0.567625 | + | 0.628269i | ||||
\(349\) | −2.56480 | − | 1.68689i | −0.137290 | − | 0.0902974i | 0.479006 | − | 0.877812i | \(-0.340997\pi\) |
−0.616296 | + | 0.787514i | \(0.711368\pi\) | |||||||
\(350\) | 0.973684 | − | 1.68647i | 0.0520456 | − | 0.0901456i | ||||
\(351\) | −28.9006 | + | 4.90076i | −1.54260 | + | 0.261583i | ||||
\(352\) | 11.8598 | + | 20.5418i | 0.632131 | + | 1.09488i | ||||
\(353\) | −0.610598 | + | 10.4836i | −0.0324988 | + | 0.557983i | 0.942282 | + | 0.334820i | \(0.108675\pi\) |
−0.974781 | + | 0.223164i | \(0.928362\pi\) | |||||||
\(354\) | 19.4103 | − | 12.1747i | 1.03165 | − | 0.647076i | ||||
\(355\) | −13.0036 | − | 1.51990i | −0.690160 | − | 0.0806681i | ||||
\(356\) | 34.7030 | + | 36.7830i | 1.83925 | + | 1.94950i | ||||
\(357\) | −0.977270 | + | 0.784725i | −0.0517226 | + | 0.0415321i | ||||
\(358\) | −1.35923 | + | 0.158871i | −0.0718375 | + | 0.00839660i | ||||
\(359\) | 23.6540 | + | 19.8481i | 1.24841 | + | 1.04754i | 0.996818 | + | 0.0797090i | \(0.0253991\pi\) |
0.251594 | + | 0.967833i | \(0.419045\pi\) | |||||||
\(360\) | 46.8414 | + | 42.8812i | 2.46876 | + | 2.26004i | ||||
\(361\) | −13.7098 | + | 11.5039i | −0.721567 | + | 0.605466i | ||||
\(362\) | −6.92220 | + | 7.33710i | −0.363823 | + | 0.385630i | ||||
\(363\) | −12.3200 | − | 8.48939i | −0.646633 | − | 0.445577i | ||||
\(364\) | 13.2070 | + | 6.63281i | 0.692235 | + | 0.347654i | ||||
\(365\) | 13.5074 | + | 6.78369i | 0.707012 | + | 0.355075i | ||||
\(366\) | 49.1219 | + | 33.8486i | 2.56764 | + | 1.76929i | ||||
\(367\) | −10.4473 | + | 11.0735i | −0.545343 | + | 0.578030i | −0.940161 | − | 0.340730i | \(-0.889326\pi\) |
0.394819 | + | 0.918759i | \(0.370807\pi\) | |||||||
\(368\) | 2.40061 | − | 2.01435i | 0.125140 | − | 0.105005i | ||||
\(369\) | −14.9528 | − | 13.6886i | −0.778413 | − | 0.712602i | ||||
\(370\) | −34.1810 | − | 28.6813i | −1.77699 | − | 1.49107i | ||||
\(371\) | 4.81533 | − | 0.562831i | 0.249999 | − | 0.0292207i | ||||
\(372\) | −35.7791 | + | 28.7297i | −1.85506 | + | 1.48957i | ||||
\(373\) | 0.640492 | + | 0.678882i | 0.0331634 | + | 0.0351512i | 0.743743 | − | 0.668466i | \(-0.233049\pi\) |
−0.710580 | + | 0.703617i | \(0.751567\pi\) | |||||||
\(374\) | 5.77158 | + | 0.674601i | 0.298442 | + | 0.0348828i | ||||
\(375\) | 13.2893 | − | 8.33538i | 0.686256 | − | 0.430437i | ||||
\(376\) | 3.54960 | − | 60.9444i | 0.183057 | − | 3.14297i | ||||
\(377\) | −5.01662 | − | 8.68904i | −0.258369 | − | 0.447508i | ||||
\(378\) | −2.46779 | + | 6.64430i | −0.126929 | + | 0.341746i | ||||
\(379\) | 19.2328 | − | 33.3122i | 0.987924 | − | 1.71113i | 0.359781 | − | 0.933037i | \(-0.382851\pi\) |
0.628143 | − | 0.778098i | \(-0.283815\pi\) | |||||||
\(380\) | −11.4075 | − | 7.50284i | −0.585193 | − | 0.384888i | ||||
\(381\) | −21.2011 | − | 23.4662i | −1.08616 | − | 1.20221i | ||||
\(382\) | 23.9626 | + | 55.5516i | 1.22603 | + | 2.84226i | ||||
\(383\) | 14.3550 | − | 3.40219i | 0.733505 | − | 0.173844i | 0.153145 | − | 0.988204i | \(-0.451060\pi\) |
0.580360 | + | 0.814360i | \(0.302912\pi\) | |||||||
\(384\) | 25.7525 | + | 0.555786i | 1.31418 | + | 0.0283623i | ||||
\(385\) | −1.18879 | − | 1.59682i | −0.0605861 | − | 0.0813813i | ||||
\(386\) | −14.3588 | + | 5.22616i | −0.730841 | + | 0.266005i | ||||
\(387\) | 15.7343 | − | 9.40213i | 0.799821 | − | 0.477937i | ||||
\(388\) | 17.3313 | + | 6.30806i | 0.879862 | + | 0.320243i | ||||
\(389\) | 4.90111 | + | 16.3708i | 0.248496 | + | 0.830035i | 0.987674 | + | 0.156525i | \(0.0500291\pi\) |
−0.739178 | + | 0.673510i | \(0.764786\pi\) | |||||||
\(390\) | −38.3396 | − | 53.8887i | −1.94140 | − | 2.72876i | ||||
\(391\) | −0.0214407 | − | 0.368123i | −0.00108430 | − | 0.0186168i | ||||
\(392\) | −47.0105 | + | 30.9193i | −2.37439 | + | 1.56166i | ||||
\(393\) | −13.4784 | − | 3.50326i | −0.679897 | − | 0.176716i | ||||
\(394\) | 6.28653 | + | 1.48994i | 0.316711 | + | 0.0750619i | ||||
\(395\) | −4.37696 | − | 24.8230i | −0.220229 | − | 1.24898i | ||||
\(396\) | 21.5638 | − | 9.68842i | 1.08362 | − | 0.486862i | ||||
\(397\) | −4.37414 | + | 24.8070i | −0.219532 | + | 1.24503i | 0.653335 | + | 0.757069i | \(0.273369\pi\) |
−0.872867 | + | 0.487958i | \(0.837742\pi\) | |||||||
\(398\) | 10.3474 | − | 23.9880i | 0.518669 | − | 1.20241i | ||||
\(399\) | 0.181116 | − | 0.911669i | 0.00906716 | − | 0.0456405i | ||||
\(400\) | −4.92821 | + | 16.4614i | −0.246410 | + | 0.823068i | ||||
\(401\) | −12.3196 | + | 16.5481i | −0.615212 | + | 0.826373i | −0.995122 | − | 0.0986500i | \(-0.968548\pi\) |
0.379910 | + | 0.925023i | \(0.375955\pi\) | |||||||
\(402\) | 11.1657 | + | 27.5020i | 0.556895 | + | 1.37167i | ||||
\(403\) | 26.0469 | − | 13.0813i | 1.29749 | − | 0.651624i | ||||
\(404\) | 91.3890 | 4.54677 | ||||||||
\(405\) | 17.0308 | − | 15.1852i | 0.846267 | − | 0.754560i | ||||
\(406\) | −2.42599 | −0.120400 | ||||||||
\(407\) | −9.05364 | + | 4.54691i | −0.448772 | + | 0.225382i | ||||
\(408\) | 12.5826 | − | 16.1613i | 0.622930 | − | 0.800101i | ||||
\(409\) | 21.0083 | − | 28.2191i | 1.03879 | − | 1.39534i | 0.123600 | − | 0.992332i | \(-0.460556\pi\) |
0.915195 | − | 0.403012i | \(-0.132037\pi\) | |||||||
\(410\) | 13.1178 | − | 43.8164i | 0.647840 | − | 2.16394i | ||||
\(411\) | −11.1136 | − | 9.74169i | −0.548194 | − | 0.480522i | ||||
\(412\) | 8.76839 | − | 20.3274i | 0.431987 | − | 1.00146i | ||||
\(413\) | −0.439618 | + | 2.49319i | −0.0216322 | + | 0.122682i | ||||
\(414\) | −1.17194 | − | 1.72484i | −0.0575976 | − | 0.0847715i | ||||
\(415\) | −5.70212 | − | 32.3383i | −0.279906 | − | 1.58743i | ||||
\(416\) | −84.7217 | − | 20.0794i | −4.15383 | − | 0.984475i | ||||
\(417\) | 6.01368 | + | 21.7875i | 0.294491 | + | 1.06694i | ||||
\(418\) | −3.60045 | + | 2.36805i | −0.176104 | + | 0.115825i | ||||
\(419\) | 1.57605 | + | 27.0598i | 0.0769953 | + | 1.32196i | 0.786646 | + | 0.617404i | \(0.211816\pi\) |
−0.709651 | + | 0.704554i | \(0.751147\pi\) | |||||||
\(420\) | −11.4524 | + | 1.08869i | −0.558821 | + | 0.0531225i | ||||
\(421\) | 8.72981 | + | 29.1596i | 0.425465 | + | 1.42115i | 0.855248 | + | 0.518219i | \(0.173405\pi\) |
−0.429783 | + | 0.902932i | \(0.641410\pi\) | |||||||
\(422\) | −49.2008 | − | 17.9076i | −2.39506 | − | 0.871729i | ||||
\(423\) | −21.6560 | − | 3.48400i | −1.05295 | − | 0.169398i | ||||
\(424\) | −74.4492 | + | 27.0973i | −3.61557 | + | 1.31596i | ||||
\(425\) | 1.20741 | + | 1.62183i | 0.0585680 | + | 0.0786705i | ||||
\(426\) | 11.4904 | + | 20.9325i | 0.556714 | + | 1.01418i | ||||
\(427\) | −6.41372 | + | 1.52008i | −0.310381 | + | 0.0735618i | ||||
\(428\) | −16.2041 | − | 37.5653i | −0.783254 | − | 1.81579i | ||||
\(429\) | −14.6830 | + | 3.14696i | −0.708904 | + | 0.151937i | ||||
\(430\) | 34.5512 | + | 22.7247i | 1.66620 | + | 1.09588i | ||||
\(431\) | −4.50933 | + | 7.81039i | −0.217207 | + | 0.376213i | −0.953953 | − | 0.299956i | \(-0.903028\pi\) |
0.736746 | + | 0.676170i | \(0.236361\pi\) | |||||||
\(432\) | 7.66781 | − | 62.0696i | 0.368918 | − | 2.98632i | ||||
\(433\) | −11.8523 | − | 20.5287i | −0.569584 | − | 0.986548i | −0.996607 | − | 0.0823075i | \(-0.973771\pi\) |
0.427023 | − | 0.904241i | \(-0.359562\pi\) | |||||||
\(434\) | 0.409786 | − | 7.03575i | 0.0196703 | − | 0.337727i | ||||
\(435\) | 6.90195 | + | 3.65486i | 0.330923 | + | 0.175237i | ||||
\(436\) | 1.08407 | + | 0.126710i | 0.0519178 | + | 0.00606832i | ||||
\(437\) | 0.187664 | + | 0.198912i | 0.00897717 | + | 0.00951524i | ||||
\(438\) | −4.20034 | − | 27.2469i | −0.200700 | − | 1.30191i | ||||
\(439\) | −3.99751 | + | 0.467242i | −0.190791 | + | 0.0223002i | −0.210952 | − | 0.977497i | \(-0.567656\pi\) |
0.0201608 | + | 0.999797i | \(0.493582\pi\) | |||||||
\(440\) | 24.9213 | + | 20.9114i | 1.18807 | + | 0.996913i | ||||
\(441\) | 9.34365 | + | 17.9281i | 0.444936 | + | 0.853720i | ||||
\(442\) | −16.3399 | + | 13.7108i | −0.777209 | + | 0.652156i | ||||
\(443\) | −5.46086 | + | 5.78817i | −0.259453 | + | 0.275004i | −0.843985 | − | 0.536366i | \(-0.819797\pi\) |
0.584532 | + | 0.811371i | \(0.301278\pi\) | |||||||
\(444\) | −4.66450 | + | 58.3605i | −0.221367 | + | 2.76967i | ||||
\(445\) | 22.3445 | + | 11.2218i | 1.05923 | + | 0.531966i | ||||
\(446\) | −6.25083 | − | 3.13929i | −0.295986 | − | 0.148650i | ||||
\(447\) | 25.5199 | − | 12.1343i | 1.20705 | − | 0.573932i | ||||
\(448\) | −6.00710 | + | 6.36715i | −0.283809 | + | 0.300820i | ||||
\(449\) | −11.2889 | + | 9.47253i | −0.532757 | + | 0.447037i | −0.869052 | − | 0.494720i | \(-0.835271\pi\) |
0.336295 | + | 0.941757i | \(0.390826\pi\) | |||||||
\(450\) | 10.5660 | + | 4.37067i | 0.498085 | + | 0.206036i | ||||
\(451\) | −7.95542 | − | 6.67539i | −0.374606 | − | 0.314332i | ||||
\(452\) | −28.2462 | + | 3.30151i | −1.32859 | + | 0.155290i | ||||
\(453\) | 34.9628 | + | 13.5867i | 1.64270 | + | 0.638359i | ||||
\(454\) | 2.26286 | + | 2.39849i | 0.106201 | + | 0.112567i | ||||
\(455\) | 7.25806 | + | 0.848346i | 0.340263 | + | 0.0397711i | ||||
\(456\) | 0.555801 | + | 15.1794i | 0.0260278 | + | 0.710839i | ||||
\(457\) | 0.457057 | − | 7.84736i | 0.0213802 | − | 0.367084i | −0.970601 | − | 0.240696i | \(-0.922624\pi\) |
0.991981 | − | 0.126388i | \(-0.0403385\pi\) | |||||||
\(458\) | 6.53970 | + | 11.3271i | 0.305580 | + | 0.529280i | ||||
\(459\) | −5.31963 | − | 5.08515i | −0.248299 | − | 0.237355i | ||||
\(460\) | 1.69232 | − | 2.93118i | 0.0789047 | − | 0.136667i | ||||
\(461\) | −2.76030 | − | 1.81548i | −0.128560 | − | 0.0845552i | 0.483600 | − | 0.875289i | \(-0.339329\pi\) |
−0.612160 | + | 0.790734i | \(0.709699\pi\) | |||||||
\(462\) | −1.11617 | + | 3.45510i | −0.0519289 | + | 0.160746i | ||||
\(463\) | −7.01120 | − | 16.2538i | −0.325838 | − | 0.755377i | −0.999861 | − | 0.0166670i | \(-0.994694\pi\) |
0.674023 | − | 0.738710i | \(-0.264565\pi\) | |||||||
\(464\) | 20.8295 | − | 4.93668i | 0.966986 | − | 0.229180i | ||||
\(465\) | −11.7655 | + | 19.3994i | −0.545612 | + | 0.899624i | ||||
\(466\) | 6.09660 | + | 8.18915i | 0.282419 | + | 0.379355i | ||||
\(467\) | 37.4545 | − | 13.6323i | 1.73319 | − | 0.630829i | 0.734338 | − | 0.678784i | \(-0.237493\pi\) |
0.998849 | + | 0.0479555i | \(0.0152706\pi\) | |||||||
\(468\) | −28.4514 | + | 81.9806i | −1.31517 | + | 3.78955i | ||||
\(469\) | −3.08187 | − | 1.12171i | −0.142307 | − | 0.0517956i | ||||
\(470\) | −14.1933 | − | 47.4090i | −0.654689 | − | 2.18681i | ||||
\(471\) | 1.81775 | − | 3.97586i | 0.0837574 | − | 0.183198i | ||||
\(472\) | −2.40557 | − | 41.3020i | −0.110725 | − | 1.90108i | ||||
\(473\) | 7.84506 | − | 5.15978i | 0.360716 | − | 0.237247i | ||||
\(474\) | −32.2629 | + | 32.7512i | −1.48188 | + | 1.50431i | ||||
\(475\) | −1.45906 | − | 0.345804i | −0.0669463 | − | 0.0158666i | ||||
\(476\) | 0.644290 | + | 3.65395i | 0.0295310 | + | 0.167478i | ||||
\(477\) | 6.98011 | + | 27.5974i | 0.319597 | + | 1.26360i | ||||
\(478\) | 4.19419 | − | 23.7864i | 0.191838 | − | 1.08797i | ||||
\(479\) | −15.5227 | + | 35.9856i | −0.709250 | + | 1.64423i | 0.0543383 | + | 0.998523i | \(0.482695\pi\) |
−0.763588 | + | 0.645704i | \(0.776564\pi\) | |||||||
\(480\) | 64.1728 | − | 21.8008i | 2.92907 | − | 0.995064i | ||||
\(481\) | 10.6660 | − | 35.6269i | 0.486328 | − | 1.62445i | ||||
\(482\) | 37.3470 | − | 50.1658i | 1.70111 | − | 2.28499i | ||||
\(483\) | 0.228223 | + | 0.0316808i | 0.0103845 | + | 0.00144152i | ||||
\(484\) | −39.5807 | + | 19.8782i | −1.79912 | + | 0.903553i | ||||
\(485\) | 9.11940 | 0.414091 | ||||||||
\(486\) | −40.5750 | − | 9.25449i | −1.84052 | − | 0.419792i | ||||
\(487\) | 35.0579 | 1.58863 | 0.794313 | − | 0.607509i | \(-0.207831\pi\) | ||||
0.794313 | + | 0.607509i | \(0.207831\pi\) | |||||||
\(488\) | 96.2582 | − | 48.3427i | 4.35741 | − | 2.18837i | ||||
\(489\) | 12.5391 | + | 1.74062i | 0.567038 | + | 0.0787135i | ||||
\(490\) | −27.2380 | + | 36.5870i | −1.23049 | + | 1.65283i | ||||
\(491\) | −5.90302 | + | 19.7175i | −0.266400 | + | 0.889836i | 0.715206 | + | 0.698914i | \(0.246333\pi\) |
−0.981605 | + | 0.190922i | \(0.938852\pi\) | |||||||
\(492\) | −56.8237 | + | 19.3041i | −2.56181 | + | 0.870297i | ||||
\(493\) | 0.997675 | − | 2.31287i | 0.0449330 | − | 0.104166i | ||||
\(494\) | 2.74688 | − | 15.5783i | 0.123588 | − | 0.700903i | ||||
\(495\) | 8.38077 | − | 8.14822i | 0.376688 | − | 0.366235i | ||||
\(496\) | 10.7987 | + | 61.2427i | 0.484878 | + | 2.74988i | ||||
\(497\) | −2.56731 | − | 0.608464i | −0.115160 | − | 0.0272933i | ||||
\(498\) | −42.0308 | + | 42.6669i | −1.88344 | + | 1.91195i | ||||
\(499\) | −6.88882 | + | 4.53085i | −0.308386 | + | 0.202829i | −0.694263 | − | 0.719722i | \(-0.744269\pi\) |
0.385877 | + | 0.922550i | \(0.373899\pi\) | |||||||
\(500\) | −2.70020 | − | 46.3606i | −0.120757 | − | 2.07331i | ||||
\(501\) | 4.61769 | − | 10.1000i | 0.206303 | − | 0.451236i | ||||
\(502\) | −9.44205 | − | 31.5387i | −0.421419 | − | 1.40764i | ||||
\(503\) | 15.9904 | + | 5.82003i | 0.712977 | + | 0.259503i | 0.672941 | − | 0.739696i | \(-0.265031\pi\) |
0.0400358 | + | 0.999198i | \(0.487253\pi\) | |||||||
\(504\) | 8.37277 | + | 9.67923i | 0.372953 | + | 0.431147i | ||||
\(505\) | 42.4621 | − | 15.4549i | 1.88954 | − | 0.687736i | ||||
\(506\) | −0.637921 | − | 0.856876i | −0.0283590 | − | 0.0380928i | ||||
\(507\) | 16.9079 | − | 27.8784i | 0.750908 | − | 1.23812i | ||||
\(508\) | −91.0978 | + | 21.5906i | −4.04181 | + | 0.957927i | ||||
\(509\) | −6.49778 | − | 15.0635i | −0.288009 | − | 0.667680i | 0.711374 | − | 0.702814i | \(-0.248073\pi\) |
−0.999383 | + | 0.0351342i | \(0.988814\pi\) | |||||||
\(510\) | 5.10404 | − | 15.7996i | 0.226011 | − | 0.699617i | ||||
\(511\) | 2.54501 | + | 1.67388i | 0.112585 | + | 0.0740480i | ||||
\(512\) | −7.61274 | + | 13.1856i | −0.336439 | + | 0.582729i | ||||
\(513\) | 5.44619 | + | 0.353054i | 0.240455 | + | 0.0155877i | ||||
\(514\) | 39.3519 | + | 68.1595i | 1.73574 | + | 3.00639i | ||||
\(515\) | 0.636458 | − | 10.9276i | 0.0280457 | − | 0.481526i | ||||
\(516\) | −1.98549 | − | 54.2254i | −0.0874064 | − | 2.38714i | ||||
\(517\) | −11.1606 | − | 1.30449i | −0.490842 | − | 0.0573712i | ||||
\(518\) | −6.17082 | − | 6.54068i | −0.271130 | − | 0.287381i | ||||
\(519\) | −7.89224 | − | 3.06696i | −0.346431 | − | 0.134625i | ||||
\(520\) | −118.610 | + | 13.8636i | −5.20141 | + | 0.607958i | ||||
\(521\) | −9.25237 | − | 7.76366i | −0.405354 | − | 0.340132i | 0.417205 | − | 0.908812i | \(-0.363010\pi\) |
−0.822559 | + | 0.568680i | \(0.807454\pi\) | |||||||
\(522\) | −1.86602 | − | 14.1218i | −0.0816734 | − | 0.618096i | ||||
\(523\) | −5.53110 | + | 4.64114i | −0.241858 | + | 0.202943i | −0.755657 | − | 0.654968i | \(-0.772682\pi\) |
0.513799 | + | 0.857911i | \(0.328238\pi\) | |||||||
\(524\) | −28.2915 | + | 29.9872i | −1.23592 | + | 1.31000i | ||||
\(525\) | −1.14099 | + | 0.542520i | −0.0497967 | + | 0.0236775i | ||||
\(526\) | 49.1211 | + | 24.6695i | 2.14178 | + | 1.07564i | ||||
\(527\) | 6.53916 | + | 3.28409i | 0.284850 | + | 0.143057i | ||||
\(528\) | 2.55257 | − | 31.9368i | 0.111086 | − | 1.38987i | ||||
\(529\) | 15.7370 | − | 16.6803i | 0.684219 | − | 0.725230i | ||||
\(530\) | −49.1993 | + | 41.2832i | −2.13708 | + | 1.79323i | ||||
\(531\) | −14.8512 | − | 0.641328i | −0.644486 | − | 0.0278313i | ||||
\(532\) | −2.10785 | − | 1.76870i | −0.0913869 | − | 0.0766827i | ||||
\(533\) | 37.8631 | − | 4.42556i | 1.64003 | − | 0.191692i | ||||
\(534\) | −6.94835 | − | 45.0728i | −0.300685 | − | 1.95049i | ||||
\(535\) | −13.8816 | − | 14.7137i | −0.600156 | − | 0.636128i | ||||
\(536\) | 53.2333 | + | 6.22208i | 2.29933 | + | 0.268753i | ||||
\(537\) | 0.784615 | + | 0.415485i | 0.0338586 | + | 0.0179295i | ||||
\(538\) | 1.88945 | − | 32.4407i | 0.0814601 | − | 1.39862i | ||||
\(539\) | 5.17833 | + | 8.96913i | 0.223046 | + | 0.386328i | ||||
\(540\) | −15.1463 | − | 65.8279i | −0.651792 | − | 2.83278i | ||||
\(541\) | −19.0806 | + | 33.0486i | −0.820339 | + | 1.42087i | 0.0850910 | + | 0.996373i | \(0.472882\pi\) |
−0.905430 | + | 0.424496i | \(0.860451\pi\) | |||||||
\(542\) | 51.5594 | + | 33.9112i | 2.21467 | + | 1.45661i | ||||
\(543\) | 6.39893 | − | 1.37146i | 0.274604 | − | 0.0588549i | ||||
\(544\) | −8.65785 | − | 20.0712i | −0.371202 | − | 0.860544i | ||||
\(545\) | 0.525122 | − | 0.124456i | 0.0224938 | − | 0.00533112i | ||||
\(546\) | −6.41347 | − | 11.6836i | −0.274471 | − | 0.500013i | ||||
\(547\) | −22.2042 | − | 29.8254i | −0.949384 | − | 1.27524i | −0.961354 | − | 0.275315i | \(-0.911218\pi\) |
0.0119703 | − | 0.999928i | \(-0.496190\pi\) | |||||||
\(548\) | −41.1120 | + | 14.9635i | −1.75622 | + | 0.639211i | ||||
\(549\) | −13.7818 | − | 36.1654i | −0.588191 | − | 1.54350i | ||||
\(550\) | 5.50428 | + | 2.00339i | 0.234703 | + | 0.0854250i | ||||
\(551\) | 0.535754 | + | 1.78954i | 0.0228239 | + | 0.0762371i | ||||
\(552\) | −3.74845 | + | 0.356334i | −0.159545 | + | 0.0151666i | ||||
\(553\) | −0.295358 | − | 5.07109i | −0.0125599 | − | 0.215645i | ||||
\(554\) | 3.05303 | − | 2.00801i | 0.129711 | − | 0.0853122i | ||||
\(555\) | 7.70217 | + | 27.9049i | 0.326939 | + | 1.18450i | ||||
\(556\) | 65.1069 | + | 15.4306i | 2.76115 | + | 0.654404i | ||||
\(557\) | 4.26215 | + | 24.1719i | 0.180593 | + | 1.02420i | 0.931488 | + | 0.363773i | \(0.118512\pi\) |
−0.750894 | + | 0.660422i | \(0.770377\pi\) | |||||||
\(558\) | 41.2707 | − | 3.02636i | 1.74713 | − | 0.128116i | ||||
\(559\) | −5.98521 | + | 33.9438i | −0.253147 | + | 1.43567i | ||||
\(560\) | −6.17526 | + | 14.3159i | −0.260952 | + | 0.604955i | ||||
\(561\) | −2.83498 | − | 2.48502i | −0.119693 | − | 0.104918i | ||||
\(562\) | −13.7093 | + | 45.7923i | −0.578293 | + | 1.93163i | ||||
\(563\) | 4.21597 | − | 5.66303i | 0.177682 | − | 0.238668i | −0.704356 | − | 0.709847i | \(-0.748764\pi\) |
0.882038 | + | 0.471179i | \(0.156171\pi\) | |||||||
\(564\) | −39.8906 | + | 51.2361i | −1.67970 | + | 2.15743i | ||||
\(565\) | −12.5657 | + | 6.31074i | −0.528644 | + | 0.265495i | ||||
\(566\) | −26.0476 | −1.09486 | ||||||||
\(567\) | 3.76424 | − | 2.64110i | 0.158083 | − | 0.110916i | ||||
\(568\) | 43.1169 | 1.80914 | ||||||||
\(569\) | −7.56120 | + | 3.79738i | −0.316982 | + | 0.159194i | −0.600175 | − | 0.799868i | \(-0.704903\pi\) |
0.283193 | + | 0.959063i | \(0.408606\pi\) | |||||||
\(570\) | 4.63197 | + | 11.4089i | 0.194012 | + | 0.477866i | ||||
\(571\) | −0.263870 | + | 0.354439i | −0.0110426 | + | 0.0148328i | −0.807610 | − | 0.589717i | \(-0.799239\pi\) |
0.796568 | + | 0.604549i | \(0.206647\pi\) | |||||||
\(572\) | −12.7496 | + | 42.5866i | −0.533087 | + | 1.78063i | ||||
\(573\) | 7.64820 | − | 38.4980i | 0.319508 | − | 1.60828i | ||||
\(574\) | 3.65084 | − | 8.46360i | 0.152383 | − | 0.353264i | ||||
\(575\) | 0.0645463 | − | 0.366060i | 0.00269177 | − | 0.0152658i | ||||
\(576\) | −41.6841 | − | 30.0702i | −1.73684 | − | 1.25293i | ||||
\(577\) | 1.80812 | + | 10.2544i | 0.0752730 | + | 0.426894i | 0.999035 | + | 0.0439266i | \(0.0139868\pi\) |
−0.923762 | + | 0.382968i | \(0.874902\pi\) | |||||||
\(578\) | 38.9514 | + | 9.23166i | 1.62017 | + | 0.383987i | ||||
\(579\) | 9.59463 | + | 2.49379i | 0.398739 | + | 0.103639i | ||||
\(580\) | 19.3166 | − | 12.7047i | 0.802077 | − | 0.527535i | ||||
\(581\) | −0.384780 | − | 6.60641i | −0.0159633 | − | 0.274080i | ||||
\(582\) | −9.64232 | − | 13.5529i | −0.399687 | − | 0.561785i | ||||
\(583\) | 4.18237 | + | 13.9701i | 0.173216 | + | 0.578582i | ||||
\(584\) | −46.7775 | − | 17.0256i | −1.93567 | − | 0.704525i | ||||
\(585\) | 0.644471 | + | 42.9021i | 0.0266456 | + | 1.77378i | ||||
\(586\) | 7.70663 | − | 2.80498i | 0.318358 | − | 0.115873i | ||||
\(587\) | −22.0521 | − | 29.6212i | −0.910189 | − | 1.22260i | −0.974437 | − | 0.224662i | \(-0.927872\pi\) |
0.0642474 | − | 0.997934i | \(-0.479535\pi\) | |||||||
\(588\) | 59.8351 | + | 1.29135i | 2.46756 | + | 0.0532543i | ||||
\(589\) | −5.28045 | + | 1.25149i | −0.217577 | + | 0.0515667i | ||||
\(590\) | −13.2837 | − | 30.7952i | −0.546883 | − | 1.26782i | ||||
\(591\) | −2.80994 | − | 3.11015i | −0.115585 | − | 0.127934i | ||||
\(592\) | 66.2922 | + | 43.6011i | 2.72459 | + | 1.79199i | ||||
\(593\) | 1.15692 | − | 2.00385i | 0.0475091 | − | 0.0822881i | −0.841293 | − | 0.540579i | \(-0.818205\pi\) |
0.888802 | + | 0.458291i | \(0.151538\pi\) | |||||||
\(594\) | −20.9709 | − | 3.83970i | −0.860446 | − | 0.157545i | ||||
\(595\) | 0.917282 | + | 1.58878i | 0.0376049 | + | 0.0651336i | ||||
\(596\) | 4.86400 | − | 83.5116i | 0.199237 | − | 3.42077i | ||||
\(597\) | −14.3583 | + | 9.00587i | −0.587645 | + | 0.368586i | ||||
\(598\) | 3.89479 | + | 0.455236i | 0.159270 | + | 0.0186160i | ||||
\(599\) | −5.53806 | − | 5.87000i | −0.226279 | − | 0.239842i | 0.604280 | − | 0.796772i | \(-0.293461\pi\) |
−0.830559 | + | 0.556930i | \(0.811979\pi\) | |||||||
\(600\) | 16.0987 | − | 12.9269i | 0.657225 | − | 0.527737i | ||||
\(601\) | −15.1344 | + | 1.76896i | −0.617347 | + | 0.0721575i | −0.419018 | − | 0.907978i | \(-0.637625\pi\) |
−0.198329 | + | 0.980136i | \(0.563551\pi\) | |||||||
\(602\) | 6.38427 | + | 5.35704i | 0.260203 | + | 0.218337i | ||||
\(603\) | 4.15902 | − | 18.8025i | 0.169368 | − | 0.765697i | ||||
\(604\) | 85.0636 | − | 71.3769i | 3.46119 | − | 2.90428i | ||||
\(605\) | −15.0288 | + | 15.9295i | −0.611006 | + | 0.647628i | ||||
\(606\) | −67.8655 | − | 46.7643i | −2.75685 | − | 1.89967i | ||||
\(607\) | −26.1727 | − | 13.1444i | −1.06232 | − | 0.533516i | −0.170243 | − | 0.985402i | \(-0.554455\pi\) |
−0.892076 | + | 0.451886i | \(0.850751\pi\) | |||||||
\(608\) | 14.4864 | + | 7.27536i | 0.587503 | + | 0.295055i | ||||
\(609\) | 1.29602 | + | 0.893053i | 0.0525174 | + | 0.0361883i | ||||
\(610\) | 59.9221 | − | 63.5137i | 2.42618 | − | 2.57160i | ||||
\(611\) | 31.5966 | − | 26.5127i | 1.27826 | − | 1.07259i | ||||
\(612\) | −20.7743 | + | 6.56098i | −0.839750 | + | 0.265212i | ||||
\(613\) | 5.16392 | + | 4.33305i | 0.208569 | + | 0.175010i | 0.741088 | − | 0.671408i | \(-0.234310\pi\) |
−0.532519 | + | 0.846418i | \(0.678755\pi\) | |||||||
\(614\) | −15.0920 | + | 1.76400i | −0.609064 | + | 0.0711894i | ||||
\(615\) | −23.1374 | + | 18.5788i | −0.932992 | + | 0.749170i | ||||
\(616\) | 4.49912 | + | 4.76879i | 0.181275 | + | 0.192140i | ||||
\(617\) | −11.9625 | − | 1.39821i | −0.481591 | − | 0.0562899i | −0.128166 | − | 0.991753i | \(-0.540909\pi\) |
−0.353425 | + | 0.935463i | \(0.614983\pi\) | |||||||
\(618\) | −16.9130 | + | 10.6083i | −0.680343 | + | 0.426728i | ||||
\(619\) | 0.781192 | − | 13.4126i | 0.0313988 | − | 0.539096i | −0.945531 | − | 0.325533i | \(-0.894456\pi\) |
0.976929 | − | 0.213563i | \(-0.0685068\pi\) | |||||||
\(620\) | 33.5828 | + | 58.1671i | 1.34872 | + | 2.33605i | ||||
\(621\) | −0.00887177 | + | 1.35286i | −0.000356012 | + | 0.0542886i | ||||
\(622\) | −4.34032 | + | 7.51765i | −0.174031 | + | 0.301430i | ||||
\(623\) | 4.21004 | + | 2.76899i | 0.168672 | + | 0.110937i | ||||
\(624\) | 78.8412 | + | 87.2645i | 3.15617 | + | 3.49338i | ||||
\(625\) | −11.9220 | − | 27.6383i | −0.476881 | − | 1.10553i | ||||
\(626\) | 24.5733 | − | 5.82398i | 0.982147 | − | 0.232773i | ||||
\(627\) | 2.79517 | + | 0.0603247i | 0.111628 | + | 0.00240914i | ||||
\(628\) | −7.72828 | − | 10.3809i | −0.308392 | − | 0.414242i | ||||
\(629\) | 8.77342 | − | 3.19326i | 0.349819 | − | 0.127324i | ||||
\(630\) | 9.06166 | + | 5.05182i | 0.361025 | + | 0.201269i | ||||
\(631\) | −0.571023 | − | 0.207835i | −0.0227321 | − | 0.00827379i | 0.330629 | − | 0.943761i | \(-0.392739\pi\) |
−0.353361 | + | 0.935487i | \(0.614961\pi\) | |||||||
\(632\) | 23.8080 | + | 79.5243i | 0.947032 | + | 3.16331i | ||||
\(633\) | 19.6921 | + | 27.6784i | 0.782689 | + | 1.10012i | ||||
\(634\) | 3.18374 | + | 54.6627i | 0.126443 | + | 2.17093i | ||||
\(635\) | −38.6756 | + | 25.4373i | −1.53479 | + | 1.00945i | ||||
\(636\) | 81.5607 | + | 21.1989i | 3.23409 | + | 0.840591i | ||||
\(637\) | −36.9918 | − | 8.76722i | −1.46567 | − | 0.347370i | ||||
\(638\) | −1.26714 | − | 7.18633i | −0.0501667 | − | 0.284510i | ||||
\(639\) | 1.56718 | − | 15.4125i | 0.0619968 | − | 0.609708i | ||||
\(640\) | 6.54721 | − | 37.1311i | 0.258801 | − | 1.46774i | ||||
\(641\) | −8.97249 | + | 20.8006i | −0.354392 | + | 0.821574i | 0.644007 | + | 0.765019i | \(0.277271\pi\) |
−0.998400 | + | 0.0565542i | \(0.981989\pi\) | |||||||
\(642\) | −7.18922 | + | 36.1877i | −0.283736 | + | 1.42822i | ||||
\(643\) | −13.9782 | + | 46.6903i | −0.551245 | + | 1.84129i | −0.0107436 | + | 0.999942i | \(0.503420\pi\) |
−0.540501 | + | 0.841343i | \(0.681765\pi\) | |||||||
\(644\) | 0.407320 | − | 0.547126i | 0.0160507 | − | 0.0215598i | ||||
\(645\) | −10.0927 | − | 24.8590i | −0.397398 | − | 0.978821i | ||||
\(646\) | 3.54891 | − | 1.78233i | 0.139630 | − | 0.0701247i | ||||
\(647\) | −20.1953 | −0.793960 | −0.396980 | − | 0.917827i | \(-0.629942\pi\) | ||||
−0.396980 | + | 0.917827i | \(0.629942\pi\) | |||||||
\(648\) | −49.9032 | + | 56.1834i | −1.96038 | + | 2.20709i | ||||
\(649\) | −7.61503 | −0.298916 | ||||||||
\(650\) | −19.2144 | + | 9.64984i | −0.753651 | + | 0.378498i | ||||
\(651\) | −2.80891 | + | 3.60781i | −0.110090 | + | 0.141401i | ||||
\(652\) | 22.3792 | − | 30.0605i | 0.876437 | − | 1.17726i | ||||
\(653\) | −5.49056 | + | 18.3397i | −0.214862 | + | 0.717690i | 0.780811 | + | 0.624767i | \(0.214806\pi\) |
−0.995673 | + | 0.0929227i | \(0.970379\pi\) | |||||||
\(654\) | −0.740195 | − | 0.648822i | −0.0289439 | − | 0.0253709i | ||||
\(655\) | −8.07389 | + | 18.7174i | −0.315473 | + | 0.731349i | ||||
\(656\) | −14.1233 | + | 80.0975i | −0.551424 | + | 3.12728i | ||||
\(657\) | −7.78617 | + | 16.1021i | −0.303768 | + | 0.628204i | ||||
\(658\) | −1.73183 | − | 9.82169i | −0.0675137 | − | 0.382889i | ||||
\(659\) | −40.0459 | − | 9.49106i | −1.55997 | − | 0.369719i | −0.642105 | − | 0.766617i | \(-0.721939\pi\) |
−0.917863 | + | 0.396897i | \(0.870087\pi\) | |||||||
\(660\) | −9.20677 | − | 33.3560i | −0.358373 | − | 1.29838i | ||||
\(661\) | 23.7935 | − | 15.6493i | 0.925462 | − | 0.608686i | 0.00519884 | − | 0.999986i | \(-0.498345\pi\) |
0.920263 | + | 0.391301i | \(0.127975\pi\) | |||||||
\(662\) | −1.07134 | − | 18.3942i | −0.0416388 | − | 0.714911i | ||||
\(663\) | 13.7763 | − | 1.30960i | 0.535029 | − | 0.0508607i | ||||
\(664\) | 31.0161 | + | 103.601i | 1.20366 | + | 4.02050i | ||||
\(665\) | −1.27848 | − | 0.465328i | −0.0495773 | − | 0.0180447i | ||||
\(666\) | 33.3272 | − | 40.9516i | 1.29140 | − | 1.58684i | ||||
\(667\) | −0.435139 | + | 0.158378i | −0.0168486 | + | 0.00613241i | ||||
\(668\) | −19.6324 | − | 26.3709i | −0.759601 | − | 1.02032i | ||||
\(669\) | 2.18371 | + | 3.97813i | 0.0844271 | + | 0.153803i | ||||
\(670\) | 42.2760 | − | 10.0196i | 1.63326 | − | 0.387091i | ||||
\(671\) | −7.85283 | − | 18.2049i | −0.303155 | − | 0.702792i | ||||
\(672\) | 13.3552 | − | 2.86237i | 0.515188 | − | 0.110418i | ||||
\(673\) | 30.5056 | + | 20.0639i | 1.17591 | + | 0.773406i | 0.978364 | − | 0.206889i | \(-0.0663338\pi\) |
0.197542 | + | 0.980294i | \(0.436704\pi\) | |||||||
\(674\) | 36.2014 | − | 62.7027i | 1.39443 | − | 2.41522i | ||||
\(675\) | −4.03566 | − | 6.22445i | −0.155333 | − | 0.239579i | ||||
\(676\) | −48.2611 | − | 83.5906i | −1.85620 | − | 3.21502i | ||||
\(677\) | −0.102919 | + | 1.76706i | −0.00395551 | + | 0.0679136i | −0.999708 | − | 0.0241544i | \(-0.992311\pi\) |
0.995753 | + | 0.0920680i | \(0.0293477\pi\) | |||||||
\(678\) | 22.6650 | + | 12.0020i | 0.870445 | + | 0.460936i | ||||
\(679\) | 1.82539 | + | 0.213357i | 0.0700519 | + | 0.00818789i | ||||
\(680\) | −20.5737 | − | 21.8068i | −0.788964 | − | 0.836253i | ||||
\(681\) | −0.325942 | − | 2.11433i | −0.0124901 | − | 0.0810213i | ||||
\(682\) | 21.0555 | − | 2.46104i | 0.806257 | − | 0.0942380i | ||||
\(683\) | 17.5030 | + | 14.6868i | 0.669734 | + | 0.561973i | 0.912987 | − | 0.407989i | \(-0.133770\pi\) |
−0.243253 | + | 0.969963i | \(0.578214\pi\) | |||||||
\(684\) | 8.67437 | − | 13.6304i | 0.331673 | − | 0.521170i | ||||
\(685\) | −16.5714 | + | 13.9050i | −0.633159 | + | 0.531284i | ||||
\(686\) | −12.8605 | + | 13.6314i | −0.491018 | + | 0.520449i | ||||
\(687\) | 0.676057 | − | 8.45858i | 0.0257932 | − | 0.322715i | ||||
\(688\) | −65.7164 | − | 33.0040i | −2.50541 | − | 1.25827i | ||||
\(689\) | −47.8356 | − | 24.0239i | −1.82239 | − | 0.915239i | ||||
\(690\) | −2.75661 | + | 1.31072i | −0.104943 | + | 0.0498984i | ||||
\(691\) | −3.88197 | + | 4.11465i | −0.147677 | + | 0.156529i | −0.796989 | − | 0.603993i | \(-0.793575\pi\) |
0.649312 | + | 0.760522i | \(0.275057\pi\) | |||||||
\(692\) | −19.2016 | + | 16.1121i | −0.729936 | + | 0.612489i | ||||
\(693\) | 1.86817 | − | 1.43491i | 0.0709660 | − | 0.0545079i | ||||
\(694\) | −47.4741 | − | 39.8355i | −1.80209 | − | 1.51213i | ||||
\(695\) | 32.8601 | − | 3.84080i | 1.24646 | − | 0.145690i | ||||
\(696\) | −23.9742 | − | 9.31647i | −0.908738 | − | 0.353140i | ||||
\(697\) | 6.56757 | + | 6.96122i | 0.248765 | + | 0.263675i | ||||
\(698\) | 8.14019 | + | 0.951452i | 0.308111 | + | 0.0360130i | ||||
\(699\) | −0.242362 | − | 6.61911i | −0.00916698 | − | 0.250358i | ||||
\(700\) | −0.217468 | + | 3.73378i | −0.00821951 | + | 0.141124i | ||||
\(701\) | −12.8656 | − | 22.2838i | −0.485926 | − | 0.841648i | 0.513944 | − | 0.857824i | \(-0.328184\pi\) |
−0.999869 | + | 0.0161763i | \(0.994851\pi\) | |||||||
\(702\) | 63.0779 | − | 46.3200i | 2.38072 | − | 1.74824i | ||||
\(703\) | −3.46201 | + | 5.99637i | −0.130572 | + | 0.226157i | ||||
\(704\) | −21.9986 | − | 14.4687i | −0.829103 | − | 0.545309i | ||||
\(705\) | −9.86975 | + | 30.5518i | −0.371716 | + | 1.15065i | ||||
\(706\) | −11.1044 | − | 25.7429i | −0.417919 | − | 0.968846i | ||||
\(707\) | 8.86102 | − | 2.10010i | 0.333253 | − | 0.0789824i | ||||
\(708\) | −22.8200 | + | 37.6264i | −0.857629 | + | 1.41409i | ||||
\(709\) | 20.0095 | + | 26.8775i | 0.751473 | + | 1.00940i | 0.999177 | + | 0.0405681i | \(0.0129168\pi\) |
−0.247703 | + | 0.968836i | \(0.579676\pi\) | |||||||
\(710\) | 32.8446 | − | 11.9545i | 1.23264 | − | 0.448643i | ||||
\(711\) | 29.2919 | − | 5.61987i | 1.09853 | − | 0.210761i | ||||
\(712\) | −77.3810 | − | 28.1644i | −2.89997 | − | 1.05550i | ||||
\(713\) | −0.385818 | − | 1.28872i | −0.0144490 | − | 0.0482630i | ||||
\(714\) | 1.39130 | − | 3.04311i | 0.0520680 | − | 0.113885i | ||||
\(715\) | 1.27804 | + | 21.9431i | 0.0477960 | + | 0.820626i | ||||
\(716\) | 2.19591 | − | 1.44427i | 0.0820651 | − | 0.0539751i | ||||
\(717\) | −10.9969 | + | 11.1633i | −0.410685 | + | 0.416901i | ||||
\(718\) | −80.2144 | − | 19.0112i | −2.99357 | − | 0.709490i | ||||
\(719\) | −0.373099 | − | 2.11595i | −0.0139143 | − | 0.0789116i | 0.977060 | − | 0.212965i | \(-0.0683119\pi\) |
−0.990974 | + | 0.134053i | \(0.957201\pi\) | |||||||
\(720\) | −88.0833 | − | 24.9351i | −3.28267 | − | 0.929276i | ||||
\(721\) | 0.383057 | − | 2.17243i | 0.0142658 | − | 0.0809054i | ||||
\(722\) | 18.9246 | − | 43.8722i | 0.704301 | − | 1.63275i | ||||
\(723\) | −38.4186 | + | 13.0516i | −1.42880 | + | 0.485393i | ||||
\(724\) | 5.55632 | − | 18.5594i | 0.206499 | − | 0.689755i | ||||
\(725\) | 1.51624 | − | 2.03667i | 0.0563119 | − | 0.0756400i | ||||
\(726\) | 39.5644 | + | 5.49214i | 1.46837 | + | 0.203832i | ||||
\(727\) | 9.88649 | − | 4.96518i | 0.366669 | − | 0.184148i | −0.255918 | − | 0.966698i | \(-0.582378\pi\) |
0.622588 | + | 0.782550i | \(0.286081\pi\) | |||||||
\(728\) | −24.0660 | −0.891946 | ||||||||
\(729\) | 18.2694 | + | 19.8804i | 0.676643 | + | 0.736311i | ||||
\(730\) | −40.3536 | −1.49355 | ||||||||
\(731\) | −7.73275 | + | 3.88353i | −0.286006 | + | 0.143638i | ||||
\(732\) | −113.484 | − | 15.7534i | −4.19451 | − | 0.582261i | ||||
\(733\) | −10.1536 | + | 13.6386i | −0.375030 | + | 0.503753i | −0.949066 | − | 0.315077i | \(-0.897970\pi\) |
0.574036 | + | 0.818830i | \(0.305377\pi\) | |||||||
\(734\) | 11.6568 | − | 38.9363i | 0.430259 | − | 1.43716i | ||||
\(735\) | 28.0196 | − | 9.51881i | 1.03352 | − | 0.351107i | ||||
\(736\) | −1.59164 | + | 3.68984i | −0.0586688 | + | 0.136009i | ||||
\(737\) | 1.71303 | − | 9.71507i | 0.0631002 | − | 0.357859i | ||||
\(738\) | 52.0753 | + | 14.7417i | 1.91692 | + | 0.542651i | ||||
\(739\) | −4.23694 | − | 24.0289i | −0.155858 | − | 0.883917i | −0.957997 | − | 0.286779i | \(-0.907416\pi\) |
0.802138 | − | 0.597138i | \(-0.203696\pi\) | |||||||
\(740\) | 83.3872 | + | 19.7631i | 3.06538 | + | 0.726507i | ||||
\(741\) | −7.20213 | + | 7.31113i | −0.264577 | + | 0.268581i | ||||
\(742\) | −10.8138 | + | 7.11238i | −0.396989 | + | 0.261104i | ||||
\(743\) | 0.343262 | + | 5.89357i | 0.0125930 | + | 0.216214i | 0.998734 | + | 0.0503042i | \(0.0160191\pi\) |
−0.986141 | + | 0.165910i | \(0.946944\pi\) | |||||||
\(744\) | 31.0688 | − | 67.9551i | 1.13904 | − | 2.49136i | ||||
\(745\) | −11.8628 | − | 39.6246i | −0.434620 | − | 1.45173i | ||||
\(746\) | −2.34148 | − | 0.852230i | −0.0857277 | − | 0.0312023i | ||||
\(747\) | 38.1603 | − | 7.32133i | 1.39621 | − | 0.267873i | ||||
\(748\) | −10.4873 | + | 3.81706i | −0.383453 | + | 0.139566i | ||||
\(749\) | −2.43438 | − | 3.26994i | −0.0889503 | − | 0.119481i | ||||
\(750\) | −21.7178 | + | 35.8091i | −0.793023 | + | 1.30756i | ||||
\(751\) | −33.6209 | + | 7.96830i | −1.22684 | + | 0.290767i | −0.792440 | − | 0.609950i | \(-0.791189\pi\) |
−0.434405 | + | 0.900718i | \(0.643041\pi\) | |||||||
\(752\) | 34.8558 | + | 80.8047i | 1.27106 | + | 2.94665i | ||||
\(753\) | −6.56581 | + | 20.3245i | −0.239271 | + | 0.740665i | ||||
\(754\) | 22.3794 | + | 14.7192i | 0.815011 | + | 0.536041i | ||||
\(755\) | 27.4525 | − | 47.5491i | 0.999099 | − | 1.73049i | ||||
\(756\) | −1.49165 | − | 13.5308i | −0.0542507 | − | 0.492111i | ||||
\(757\) | 19.4091 | + | 33.6176i | 0.705437 | + | 1.22185i | 0.966534 | + | 0.256540i | \(0.0825824\pi\) |
−0.261097 | + | 0.965313i | \(0.584084\pi\) | |||||||
\(758\) | −5.97107 | + | 102.519i | −0.216879 | + | 3.72367i | ||||
\(759\) | 0.0253597 | + | 0.692594i | 0.000920499 | + | 0.0251396i | ||||
\(760\) | 22.0833 | + | 2.58116i | 0.801044 | + | 0.0936286i | ||||
\(761\) | 28.0481 | + | 29.7293i | 1.01674 | + | 1.07769i | 0.996963 | + | 0.0778808i | \(0.0248154\pi\) |
0.0197809 | + | 0.999804i | \(0.493703\pi\) | |||||||
\(762\) | 78.6972 | + | 30.5821i | 2.85090 | + | 1.10787i | ||||
\(763\) | 0.108023 | − | 0.0126261i | 0.00391069 | − | 0.000457094i | ||||
\(764\) | −89.0105 | − | 74.6887i | −3.22029 | − | 2.70214i | ||||
\(765\) | −8.54282 | + | 6.56160i | −0.308866 | + | 0.237235i | ||||
\(766\) | −30.1711 | + | 25.3166i | −1.09013 | + | 0.914725i | ||||
\(767\) | 19.1823 | − | 20.3321i | 0.692634 | − | 0.734150i | ||||
\(768\) | −8.50622 | + | 4.04457i | −0.306942 | + | 0.145946i | ||||
\(769\) | −27.6178 | − | 13.8702i | −0.995922 | − | 0.500171i | −0.125298 | − | 0.992119i | \(-0.539989\pi\) |
−0.870624 | + | 0.491948i | \(0.836285\pi\) | |||||||
\(770\) | 4.74942 | + | 2.38525i | 0.171157 | + | 0.0859584i | ||||
\(771\) | 4.06810 | − | 50.8986i | 0.146509 | − | 1.83307i | ||||
\(772\) | 20.1393 | − | 21.3464i | 0.724829 | − | 0.768274i | ||||
\(773\) | 22.5762 | − | 18.9437i | 0.812009 | − | 0.681356i | −0.139077 | − | 0.990282i | \(-0.544414\pi\) |
0.951086 | + | 0.308925i | \(0.0999692\pi\) | |||||||
\(774\) | −26.2730 | + | 41.2837i | −0.944363 | + | 1.48391i | ||||
\(775\) | 5.65054 | + | 4.74137i | 0.202974 | + | 0.170315i | ||||
\(776\) | −29.8302 | + | 3.48665i | −1.07084 | + | 0.125164i | ||||
\(777\) | 0.888844 | + | 5.76578i | 0.0318871 | + | 0.206846i | ||||
\(778\) | −31.3080 | − | 33.1846i | −1.12245 | − | 1.18972i | ||||
\(779\) | −7.04947 | − | 0.823965i | −0.252573 | − | 0.0295216i | ||||
\(780\) | 112.253 | + | 59.4422i | 4.01929 | + | 2.12837i | ||||
\(781\) | 0.461448 | − | 7.92276i | 0.0165119 | − | 0.283499i | ||||
\(782\) | 0.492228 | + | 0.852563i | 0.0176020 | + | 0.0304876i | ||||
\(783\) | −4.20164 | + | 8.23112i | −0.150154 | + | 0.294156i | ||||
\(784\) | 40.5553 | − | 70.2439i | 1.44841 | − | 2.50871i | ||||
\(785\) | −5.34632 | − | 3.51633i | −0.190818 | − | 0.125503i | ||||
\(786\) | 36.3539 | − | 7.79159i | 1.29670 | − | 0.277917i | ||||
\(787\) | 6.50825 | + | 15.0878i | 0.231994 | + | 0.537823i | 0.993953 | − | 0.109802i | \(-0.0350217\pi\) |
−0.761959 | + | 0.647625i | \(0.775762\pi\) | |||||||
\(788\) | −12.0739 | + | 2.86156i | −0.430114 | + | 0.101939i | ||||
\(789\) | −17.1603 | − | 31.2614i | −0.610923 | − | 1.11294i | ||||
\(790\) | 40.1846 | + | 53.9773i | 1.42970 | + | 1.92043i | ||||
\(791\) | −2.66286 | + | 0.969203i | −0.0946805 | + | 0.0344609i | ||||
\(792\) | −24.2988 | + | 29.8577i | −0.863420 | + | 1.06095i | ||||
\(793\) | 68.3884 | + | 24.8914i | 2.42854 | + | 0.883918i | ||||
\(794\) | −19.2874 | − | 64.4246i | −0.684486 | − | 2.28634i | ||||
\(795\) | 41.4805 | − | 3.94321i | 1.47116 | − | 0.139851i | ||||
\(796\) | 2.91740 | + | 50.0899i | 0.103405 | + | 1.77539i | ||||
\(797\) | 7.02608 | − | 4.62112i | 0.248876 | − | 0.163689i | −0.418942 | − | 0.908013i | \(-0.637599\pi\) |
0.667818 | + | 0.744325i | \(0.267228\pi\) | |||||||
\(798\) | 0.660237 | + | 2.39203i | 0.0233722 | + | 0.0846771i | ||||
\(799\) | 10.0759 | + | 2.38804i | 0.356461 | + | 0.0844828i | ||||
\(800\) | −3.82623 | − | 21.6996i | −0.135278 | − | 0.767198i | ||||
\(801\) | −12.8802 | + | 26.6367i | −0.455098 | + | 0.941163i | ||||
\(802\) | 9.56414 | − | 54.2409i | 0.337721 | − | 1.91531i | ||||
\(803\) | −3.62909 | + | 8.41319i | −0.128068 | + | 0.296895i | ||||
\(804\) | −42.8694 | − | 37.5774i | −1.51189 | − | 1.32525i | ||||
\(805\) | 0.0967280 | − | 0.323094i | 0.00340922 | − | 0.0113876i | ||||
\(806\) | −46.4681 | + | 62.4176i | −1.63677 | + | 2.19856i | ||||
\(807\) | −12.9514 | + | 16.6350i | −0.455911 | + | 0.585580i | ||||
\(808\) | −132.988 | + | 66.7890i | −4.67849 | + | 2.34963i | ||||
\(809\) | −1.83823 | −0.0646289 | −0.0323144 | − | 0.999478i | \(-0.510288\pi\) | ||||
−0.0323144 | + | 0.999478i | \(0.510288\pi\) | |||||||
\(810\) | −22.4369 | + | 56.6342i | −0.788351 | + | 1.98992i | ||||
\(811\) | −8.25761 | −0.289964 | −0.144982 | − | 0.989434i | \(-0.546312\pi\) | ||||
−0.144982 | + | 0.989434i | \(0.546312\pi\) | |||||||
\(812\) | 4.16374 | − | 2.09111i | 0.146119 | − | 0.0733836i | ||||
\(813\) | −15.0609 | − | 37.0961i | −0.528209 | − | 1.30102i | ||||
\(814\) | 16.1518 | − | 21.6957i | 0.566121 | − | 0.760433i | ||||
\(815\) | 5.31448 | − | 17.7516i | 0.186158 | − | 0.621811i | ||||
\(816\) | −5.75318 | + | 28.9592i | −0.201402 | + | 1.01378i | ||||
\(817\) | 2.54175 | − | 5.89243i | 0.0889245 | − | 0.206150i | ||||
\(818\) | −16.3095 | + | 92.4956i | −0.570248 | + | 3.23403i | ||||
\(819\) | −0.874735 | + | 8.60258i | −0.0305657 | + | 0.300599i | ||||
\(820\) | 15.2539 | + | 86.5093i | 0.532690 | + | 3.02104i | ||||
\(821\) | −24.8430 | − | 5.88790i | −0.867026 | − | 0.205489i | −0.227050 | − | 0.973883i | \(-0.572908\pi\) |
−0.639977 | + | 0.768394i | \(0.721056\pi\) | |||||||
\(822\) | 38.1867 | + | 9.92531i | 1.33191 | + | 0.346185i | ||||
\(823\) | 2.93406 | − | 1.92976i | 0.102275 | − | 0.0672672i | −0.497341 | − | 0.867555i | \(-0.665690\pi\) |
0.599616 | + | 0.800288i | \(0.295320\pi\) | |||||||
\(824\) | 2.09607 | + | 35.9882i | 0.0730202 | + | 1.25371i | ||||
\(825\) | −2.20303 | − | 3.09649i | −0.0766996 | − | 0.107806i | ||||
\(826\) | −1.93846 | − | 6.47491i | −0.0674476 | − | 0.225291i | ||||
\(827\) | 29.3726 | + | 10.6908i | 1.02139 | + | 0.371754i | 0.797795 | − | 0.602929i | \(-0.206000\pi\) |
0.223591 | + | 0.974683i | \(0.428222\pi\) | |||||||
\(828\) | 3.49816 | + | 1.95020i | 0.121569 | + | 0.0677741i | ||||
\(829\) | 44.5589 | − | 16.2181i | 1.54759 | − | 0.563278i | 0.579743 | − | 0.814800i | \(-0.303153\pi\) |
0.967852 | + | 0.251521i | \(0.0809308\pi\) | |||||||
\(830\) | 52.3509 | + | 70.3194i | 1.81712 | + | 2.44082i | ||||
\(831\) | −2.37019 | − | 0.0511529i | −0.0822209 | − | 0.00177447i | ||||
\(832\) | 94.0461 | − | 22.2893i | 3.26046 | − | 0.772743i | ||||
\(833\) | −3.78026 | − | 8.76362i | −0.130978 | − | 0.303641i | ||||
\(834\) | −40.4524 | − | 44.7744i | −1.40075 | − | 1.55041i | ||||
\(835\) | −13.5814 | − | 8.93265i | −0.470005 | − | 0.309127i | ||||
\(836\) | 4.13831 | − | 7.16776i | 0.143126 | − | 0.247902i | ||||
\(837\) | −23.1618 | − | 13.5758i | −0.800590 | − | 0.469247i | ||||
\(838\) | −36.1825 | − | 62.6699i | −1.24990 | − | 2.16489i | ||||
\(839\) | −1.72814 | + | 29.6710i | −0.0596620 | + | 1.02436i | 0.827078 | + | 0.562087i | \(0.190002\pi\) |
−0.886740 | + | 0.462269i | \(0.847035\pi\) | |||||||
\(840\) | 15.8698 | − | 9.95391i | 0.547559 | − | 0.343443i | ||||
\(841\) | 25.6621 | + | 2.99947i | 0.884902 | + | 0.103430i | ||||
\(842\) | −55.7655 | − | 59.1080i | −1.92181 | − | 2.03700i | ||||
\(843\) | 24.1808 | − | 19.4167i | 0.832833 | − | 0.668745i | ||||
\(844\) | 99.8793 | − | 11.6742i | 3.43799 | − | 0.401843i | ||||
\(845\) | −36.5597 | − | 30.6772i | −1.25769 | − | 1.05533i | ||||
\(846\) | 55.8405 | − | 17.6357i | 1.91984 | − | 0.606328i | ||||
\(847\) | −3.38092 | + | 2.83693i | −0.116170 | + | 0.0974780i | ||||
\(848\) | 78.3744 | − | 83.0720i | 2.69139 | − | 2.85271i | ||||
\(849\) | 13.9152 | + | 9.58860i | 0.477569 | + | 0.329080i | ||||
\(850\) | −4.82384 | − | 2.42262i | −0.165456 | − | 0.0830952i | ||||
\(851\) | −1.53383 | − | 0.770319i | −0.0525791 | − | 0.0264062i | ||||
\(852\) | −37.7641 | − | 26.0223i | −1.29378 | − | 0.891508i | ||||
\(853\) | −7.23571 | + | 7.66940i | −0.247746 | + | 0.262595i | −0.839298 | − | 0.543671i | \(-0.817034\pi\) |
0.591552 | + | 0.806267i | \(0.298515\pi\) | |||||||
\(854\) | 13.4803 | − | 11.3113i | 0.461286 | − | 0.387065i | ||||
\(855\) | 1.72532 | − | 7.80002i | 0.0590049 | − | 0.266755i | ||||
\(856\) | 51.0334 | + | 42.8221i | 1.74429 | + | 1.46363i | ||||
\(857\) | −14.7298 | + | 1.72167i | −0.503162 | + | 0.0588112i | −0.363888 | − | 0.931443i | \(-0.618551\pi\) |
−0.139274 | + | 0.990254i | \(0.544477\pi\) | |||||||
\(858\) | 31.2596 | − | 25.1008i | 1.06719 | − | 0.856925i | ||||
\(859\) | −21.6923 | − | 22.9925i | −0.740131 | − | 0.784493i | 0.242483 | − | 0.970156i | \(-0.422038\pi\) |
−0.982614 | + | 0.185663i | \(0.940557\pi\) | |||||||
\(860\) | −78.8882 | − | 9.22071i | −2.69007 | − | 0.314424i | ||||
\(861\) | −5.06598 | + | 3.17751i | −0.172648 | + | 0.108289i | ||||
\(862\) | 1.39998 | − | 24.0367i | 0.0476835 | − | 0.818693i | ||||
\(863\) | 1.64562 | + | 2.85030i | 0.0560177 | + | 0.0970255i | 0.892674 | − | 0.450702i | \(-0.148826\pi\) |
−0.836657 | + | 0.547728i | \(0.815493\pi\) | |||||||
\(864\) | 26.9345 | + | 75.5397i | 0.916331 | + | 2.56991i | ||||
\(865\) | −6.19692 | + | 10.7334i | −0.210701 | + | 0.364946i | ||||
\(866\) | 52.8737 | + | 34.7756i | 1.79672 | + | 1.18172i | ||||
\(867\) | −17.4104 | − | 19.2705i | −0.591289 | − | 0.654462i | ||||
\(868\) | 5.36123 | + | 12.4287i | 0.181972 | + | 0.421858i | ||||
\(869\) | 14.8674 | − | 3.52365i | 0.504344 | − | 0.119532i | ||||
\(870\) | −20.8456 | − | 0.449885i | −0.706731 | − | 0.0152525i | ||||
\(871\) | 21.6241 | + | 29.0462i | 0.732704 | + | 0.984192i | ||||
\(872\) | −1.67013 | + | 0.607878i | −0.0565577 | + | 0.0205853i | ||||
\(873\) | 0.162083 | + | 10.7898i | 0.00548568 | + | 0.365179i | ||||
\(874\) | −0.686052 | − | 0.249702i | −0.0232060 | − | 0.00844631i | ||||
\(875\) | −1.32717 | − | 4.43305i | −0.0448664 | − | 0.149864i | ||||
\(876\) | 30.6948 | + | 43.1435i | 1.03708 | + | 1.45768i | ||||
\(877\) | 2.14761 | + | 36.8731i | 0.0725197 | + | 1.24511i | 0.816671 | + | 0.577104i | \(0.195817\pi\) |
−0.744151 | + | 0.668011i | \(0.767146\pi\) | |||||||
\(878\) | 8.97727 | − | 5.90444i | 0.302968 | − | 0.199265i | ||||
\(879\) | −5.14963 | − | 1.33847i | −0.173693 | − | 0.0451454i | ||||
\(880\) | −45.6322 | − | 10.8150i | −1.53826 | − | 0.364575i | ||||
\(881\) | 5.05857 | + | 28.6886i | 0.170427 | + | 0.966542i | 0.943290 | + | 0.331969i | \(0.107713\pi\) |
−0.772863 | + | 0.634573i | \(0.781176\pi\) | |||||||
\(882\) | −43.7727 | − | 31.5769i | −1.47390 | − | 1.06325i | ||||
\(883\) | −3.27904 | + | 18.5963i | −0.110348 | + | 0.625817i | 0.878600 | + | 0.477558i | \(0.158478\pi\) |
−0.988949 | + | 0.148259i | \(0.952633\pi\) | |||||||
\(884\) | 16.2261 | − | 37.6163i | 0.545742 | − | 1.26517i | ||||
\(885\) | −4.23981 | + | 21.3415i | −0.142519 | + | 0.717387i | ||||
\(886\) | 6.09307 | − | 20.3523i | 0.204701 | − | 0.683748i | ||||
\(887\) | 14.5048 | − | 19.4834i | 0.487024 | − | 0.654187i | −0.488889 | − | 0.872346i | \(-0.662598\pi\) |
0.975913 | + | 0.218159i | \(0.0700051\pi\) | |||||||
\(888\) | −35.8633 | − | 88.3341i | −1.20349 | − | 2.96430i | ||||
\(889\) | −8.33663 | + | 4.18681i | −0.279602 | + | 0.140421i | ||||
\(890\) | −66.7543 | −2.23761 | ||||||||
\(891\) | 9.78967 | + | 9.77104i | 0.327966 | + | 0.327342i | ||||
\(892\) | 13.4343 | 0.449814 | ||||||||
\(893\) | −6.86256 | + | 3.44651i | −0.229647 | + | 0.115333i | ||||
\(894\) | −46.3454 | + | 59.5268i | −1.55002 | + | 1.99087i | ||||
\(895\) | 0.776044 | − | 1.04241i | 0.0259403 | − | 0.0348439i | ||||
\(896\) | 2.17924 | − | 7.27917i | 0.0728033 | − | 0.243180i | ||||
\(897\) | −1.91311 | − | 1.67694i | −0.0638768 | − | 0.0559915i | ||||
\(898\) | 15.5829 | − | 36.1253i | 0.520009 | − | 1.20552i | ||||
\(899\) | 1.59569 | − | 9.04959i | 0.0532191 | − | 0.301821i | ||||
\(900\) | −21.9018 | + | 1.60605i | −0.730061 | + | 0.0535349i | ||||
\(901\) | −2.33361 | − | 13.2346i | −0.0777438 | − | 0.440907i | ||||
\(902\) | 26.9780 | + | 6.39391i | 0.898269 | + | 0.212894i | ||||
\(903\) | −1.43860 | − | 5.21203i | −0.0478736 | − | 0.173445i | ||||
\(904\) | 38.6906 | − | 25.4472i | 1.28683 | − | 0.846361i | ||||
\(905\) | −0.556975 | − | 9.56290i | −0.0185145 | − | 0.317881i | ||||
\(906\) | −99.6922 | + | 9.47690i | −3.31205 | + | 0.314849i | ||||
\(907\) | −11.3074 | − | 37.7694i | −0.375456 | − | 1.25411i | −0.911983 | − | 0.410228i | \(-0.865449\pi\) |
0.536526 | − | 0.843884i | \(-0.319736\pi\) | |||||||
\(908\) | −5.95117 | − | 2.16605i | −0.197496 | − | 0.0718828i | ||||
\(909\) | 19.0405 | + | 49.9651i | 0.631533 | + | 1.65724i | ||||
\(910\) | −18.3325 | + | 6.67247i | −0.607715 | + | 0.221190i | ||||
\(911\) | 24.7111 | + | 33.1927i | 0.818715 | + | 1.09972i | 0.993355 | + | 0.115092i | \(0.0367164\pi\) |
−0.174640 | + | 0.984632i | \(0.555876\pi\) | |||||||
\(912\) | −10.5364 | − | 19.1944i | −0.348894 | − | 0.635591i | ||||
\(913\) | 19.3687 | − | 4.59047i | 0.641010 | − | 0.151922i | ||||
\(914\) | 8.31208 | + | 19.2696i | 0.274939 | + | 0.637381i | ||||
\(915\) | −55.3924 | + | 11.8720i | −1.83122 | + | 0.392478i | ||||
\(916\) | −20.9876 | − | 13.8038i | −0.693451 | − | 0.456090i | ||||
\(917\) | −2.05402 | + | 3.55767i | −0.0678298 | + | 0.117485i | ||||
\(918\) | 18.7843 | + | 5.75813i | 0.619973 | + | 0.190046i | ||||
\(919\) | 0.677038 | + | 1.17266i | 0.0223334 | + | 0.0386826i | 0.876976 | − | 0.480534i | \(-0.159557\pi\) |
−0.854643 | + | 0.519217i | \(0.826224\pi\) | |||||||
\(920\) | −0.320466 | + | 5.50218i | −0.0105654 | + | 0.181402i | ||||
\(921\) | 8.71187 | + | 4.61329i | 0.287066 | + | 0.152013i | ||||
\(922\) | 8.76068 | + | 1.02398i | 0.288517 | + | 0.0337229i | ||||
\(923\) | 19.9914 | + | 21.1896i | 0.658024 | + | 0.697464i | ||||
\(924\) | −1.06248 | − | 6.89212i | −0.0349530 | − | 0.226734i | ||||
\(925\) | 9.34780 | − | 1.09260i | 0.307354 | − | 0.0359245i | ||||
\(926\) | 36.2019 | + | 30.3770i | 1.18967 | + | 0.998250i | ||||
\(927\) | 12.9405 | + | 0.558817i | 0.425020 | + | 0.0183539i | ||||
\(928\) | −21.0279 | + | 17.6445i | −0.690274 | + | 0.579209i | ||||
\(929\) | 18.3365 | − | 19.4355i | 0.601601 | − | 0.637659i | −0.352973 | − | 0.935633i | \(-0.614829\pi\) |
0.954574 | + | 0.297974i | \(0.0963109\pi\) | |||||||
\(930\) | 4.82586 | − | 60.3794i | 0.158246 | − | 1.97992i | ||||
\(931\) | 6.32517 | + | 3.17662i | 0.207299 | + | 0.104110i | ||||
\(932\) | −17.5224 | − | 8.80006i | −0.573964 | − | 0.288256i | ||||
\(933\) | 5.08609 | − | 2.41835i | 0.166511 | − | 0.0791733i | ||||
\(934\) | −73.0236 | + | 77.4005i | −2.38941 | + | 2.53262i | ||||
\(935\) | −4.22721 | + | 3.54705i | −0.138244 | + | 0.116001i | ||||
\(936\) | −18.5110 | − | 140.090i | −0.605052 | − | 4.57897i | ||||
\(937\) | −2.08507 | − | 1.74958i | −0.0681162 | − | 0.0571563i | 0.608094 | − | 0.793865i | \(-0.291934\pi\) |
−0.676210 | + | 0.736709i | \(0.736379\pi\) | |||||||
\(938\) | 8.69660 | − | 1.01649i | 0.283954 | − | 0.0331895i | ||||
\(939\) | −15.2716 | − | 5.93460i | −0.498369 | − | 0.193668i | ||||
\(940\) | 65.2249 | + | 69.1343i | 2.12740 | + | 2.25491i | ||||
\(941\) | −22.6491 | − | 2.64730i | −0.738341 | − | 0.0862996i | −0.261394 | − | 0.965232i | \(-0.584182\pi\) |
−0.476946 | + | 0.878932i | \(0.658256\pi\) | |||||||
\(942\) | 0.427063 | + | 11.6634i | 0.0139145 | + | 0.380015i | ||||
\(943\) | 0.102300 | − | 1.75642i | 0.00333134 | − | 0.0571969i | ||||
\(944\) | 29.8195 | + | 51.6488i | 0.970541 | + | 1.68103i | ||||
\(945\) | −2.98128 | − | 6.03457i | −0.0969811 | − | 0.196304i | ||||
\(946\) | −12.5341 | + | 21.7097i | −0.407520 | + | 0.705845i | ||||
\(947\) | −13.6906 | − | 9.00447i | −0.444886 | − | 0.292606i | 0.307232 | − | 0.951635i | \(-0.400597\pi\) |
−0.752118 | + | 0.659029i | \(0.770968\pi\) | |||||||
\(948\) | 27.1428 | − | 84.0205i | 0.881557 | − | 2.72886i | ||||
\(949\) | −13.3215 | − | 30.8826i | −0.432433 | − | 1.00249i | ||||
\(950\) | 3.89530 | − | 0.923204i | 0.126380 | − | 0.0299527i | ||||
\(951\) | 18.4216 | − | 30.3741i | 0.597360 | − | 0.984947i | ||||
\(952\) | −3.60794 | − | 4.84630i | −0.116934 | − | 0.157070i | ||||
\(953\) | 33.5144 | − | 12.1982i | 1.08564 | − | 0.395140i | 0.263634 | − | 0.964623i | \(-0.415079\pi\) |
0.822003 | + | 0.569483i | \(0.192857\pi\) | |||||||
\(954\) | −49.7193 | − | 57.4774i | −1.60972 | − | 1.86090i | ||||
\(955\) | −53.9877 | − | 19.6499i | −1.74700 | − | 0.635857i | ||||
\(956\) | 13.3045 | + | 44.4400i | 0.430297 | + | 1.43729i | ||||
\(957\) | −1.96849 | + | 4.30556i | −0.0636321 | + | 0.139179i | ||||
\(958\) | −6.08364 | − | 104.452i | −0.196553 | − | 3.37469i | ||||
\(959\) | −3.64233 | + | 2.39560i | −0.117617 | + | 0.0773579i | ||||
\(960\) | −52.7974 | + | 53.5964i | −1.70403 | + | 1.72982i | ||||
\(961\) | −4.18872 | − | 0.992744i | −0.135120 | − | 0.0320240i | ||||
\(962\) | 17.2407 | + | 97.7770i | 0.555863 | + | 3.15246i | ||||
\(963\) | 17.1620 | − | 16.6858i | 0.553039 | − | 0.537693i | ||||
\(964\) | −20.8580 | + | 118.292i | −0.671791 | + | 3.80992i | ||||
\(965\) | 5.74740 | − | 13.3240i | 0.185015 | − | 0.428914i | ||||
\(966\) | −0.582444 | + | 0.197868i | −0.0187398 | + | 0.00636629i | ||||
\(967\) | 2.30791 | − | 7.70895i | 0.0742174 | − | 0.247903i | −0.912828 | − | 0.408344i | \(-0.866106\pi\) |
0.987045 | + | 0.160441i | \(0.0512916\pi\) | |||||||
\(968\) | 43.0698 | − | 57.8527i | 1.38431 | − | 1.85946i | ||||
\(969\) | −2.55202 | − | 0.354259i | −0.0819826 | − | 0.0113804i | ||||
\(970\) | −21.7567 | + | 10.9266i | −0.698566 | + | 0.350833i | ||||
\(971\) | −44.9410 | −1.44223 | −0.721113 | − | 0.692818i | \(-0.756369\pi\) | ||||
−0.721113 | + | 0.692818i | \(0.756369\pi\) | |||||||
\(972\) | 77.6162 | − | 19.0906i | 2.48954 | − | 0.612330i | ||||
\(973\) | 6.66731 | 0.213744 | ||||||||
\(974\) | −83.6398 | + | 42.0055i | −2.67999 | + | 1.34594i | ||||
\(975\) | 13.8171 | + | 1.91802i | 0.442500 | + | 0.0614258i | ||||
\(976\) | −92.7239 | + | 124.550i | −2.96802 | + | 3.98674i | ||||
\(977\) | 7.96425 | − | 26.6024i | 0.254799 | − | 0.851088i | −0.730887 | − | 0.682498i | \(-0.760894\pi\) |
0.985686 | − | 0.168590i | \(-0.0539212\pi\) | |||||||
\(978\) | −32.0009 | + | 10.8713i | −1.02328 | + | 0.347627i | ||||
\(979\) | −6.00338 | + | 13.9174i | −0.191869 | + | 0.444802i | ||||
\(980\) | 15.2122 | − | 86.2728i | 0.485936 | − | 2.75588i | ||||
\(981\) | 0.156586 | + | 0.619096i | 0.00499940 | + | 0.0197662i | ||||
\(982\) | −9.54176 | − | 54.1140i | −0.304490 | − | 1.72685i | ||||
\(983\) | −6.81336 | − | 1.61479i | −0.217312 | − | 0.0515040i | 0.120517 | − | 0.992711i | \(-0.461545\pi\) |
−0.337830 | + | 0.941207i | \(0.609693\pi\) | |||||||
\(984\) | 68.5810 | − | 69.6189i | 2.18628 | − | 2.21937i | ||||
\(985\) | −5.12597 | + | 3.37140i | −0.163327 | + | 0.107422i | ||||
\(986\) | 0.391008 | + | 6.71335i | 0.0124522 | + | 0.213797i | ||||
\(987\) | −2.69037 | + | 5.88450i | −0.0856353 | + | 0.187306i | ||||
\(988\) | 8.71345 | + | 29.1049i | 0.277212 | + | 0.925951i | ||||
\(989\) | 1.49485 | + | 0.544079i | 0.0475333 | + | 0.0173007i | ||||
\(990\) | −10.2315 | + | 29.4813i | −0.325179 | + | 0.936979i | ||||
\(991\) | 55.0238 | − | 20.0270i | 1.74789 | − | 0.636179i | 0.748259 | − | 0.663407i | \(-0.230890\pi\) |
0.999629 | + | 0.0272280i | \(0.00866800\pi\) | |||||||
\(992\) | −47.6199 | − | 63.9646i | −1.51193 | − | 2.03088i | ||||
\(993\) | −6.19892 | + | 10.2210i | −0.196717 | + | 0.324353i | ||||
\(994\) | 6.85403 | − | 1.62444i | 0.217397 | − | 0.0515240i | ||||
\(995\) | 9.82630 | + | 22.7799i | 0.311515 | + | 0.722172i | ||||
\(996\) | 35.3605 | − | 109.458i | 1.12044 | − | 3.46832i | ||||
\(997\) | 32.1641 | + | 21.1546i | 1.01865 | + | 0.669974i | 0.944919 | − | 0.327304i | \(-0.106140\pi\) |
0.0737275 | + | 0.997278i | \(0.476511\pi\) | |||||||
\(998\) | 11.0063 | − | 19.0635i | 0.348400 | − | 0.603446i | ||||
\(999\) | −32.8792 | + | 9.60892i | −1.04025 | + | 0.304013i |
(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 | 81.2.g.a.25.1 | yes | 144 | |
3.2 | odd | 2 | 243.2.g.a.73.8 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.703.1 | 144 | |||
9.4 | even | 3 | 729.2.g.d.217.8 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.217.1 | 144 | |||
9.7 | even | 3 | 729.2.g.c.703.8 | 144 | |||
81.13 | even | 27 | inner | 81.2.g.a.13.1 | ✓ | 144 | |
81.14 | odd | 54 | 729.2.g.a.514.1 | 144 | |||
81.16 | even | 27 | 6561.2.a.c.1.2 | 72 | |||
81.40 | even | 27 | 729.2.g.c.28.8 | 144 | |||
81.41 | odd | 54 | 729.2.g.b.28.1 | 144 | |||
81.65 | odd | 54 | 6561.2.a.d.1.71 | 72 | |||
81.67 | even | 27 | 729.2.g.d.514.8 | 144 | |||
81.68 | odd | 54 | 243.2.g.a.10.8 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.13.1 | ✓ | 144 | 81.13 | even | 27 | inner | |
81.2.g.a.25.1 | yes | 144 | 1.1 | even | 1 | trivial | |
243.2.g.a.10.8 | 144 | 81.68 | odd | 54 | |||
243.2.g.a.73.8 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.217.1 | 144 | 9.5 | odd | 6 | |||
729.2.g.a.514.1 | 144 | 81.14 | odd | 54 | |||
729.2.g.b.28.1 | 144 | 81.41 | odd | 54 | |||
729.2.g.b.703.1 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.28.8 | 144 | 81.40 | even | 27 | |||
729.2.g.c.703.8 | 144 | 9.7 | even | 3 | |||
729.2.g.d.217.8 | 144 | 9.4 | even | 3 | |||
729.2.g.d.514.8 | 144 | 81.67 | even | 27 | |||
6561.2.a.c.1.2 | 72 | 81.16 | even | 27 | |||
6561.2.a.d.1.71 | 72 | 81.65 | odd | 54 |