Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), 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: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 27.2 | ||
Character | \(\chi\) | \(=\) | 29.27 |
Dual form | 29.3.f.a.14.2 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{15}{28}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.170607 | + | 1.51418i | −0.0853036 | + | 0.757090i | 0.876134 | + | 0.482067i | \(0.160114\pi\) |
−0.961438 | + | 0.275023i | \(0.911315\pi\) | |||||||
\(3\) | 2.08647 | − | 3.32060i | 0.695490 | − | 1.10687i | −0.293077 | − | 0.956089i | \(-0.594679\pi\) |
0.988568 | − | 0.150778i | \(-0.0481777\pi\) | |||||||
\(4\) | 1.63608 | + | 0.373424i | 0.409019 | + | 0.0933560i | ||||
\(5\) | −5.91405 | + | 4.71630i | −1.18281 | + | 0.943260i | −0.999210 | − | 0.0397411i | \(-0.987347\pi\) |
−0.183600 | + | 0.983001i | \(0.558775\pi\) | |||||||
\(6\) | 4.67202 | + | 3.72581i | 0.778670 | + | 0.620968i | ||||
\(7\) | −1.42870 | − | 6.25955i | −0.204100 | − | 0.894222i | −0.968408 | − | 0.249370i | \(-0.919776\pi\) |
0.764308 | − | 0.644852i | \(-0.223081\pi\) | |||||||
\(8\) | −2.85762 | + | 8.16662i | −0.357203 | + | 1.02083i | ||||
\(9\) | −2.76806 | − | 5.74794i | −0.307563 | − | 0.638661i | ||||
\(10\) | −6.13235 | − | 9.75958i | −0.613235 | − | 0.975958i | ||||
\(11\) | −5.33282 | − | 15.2403i | −0.484802 | − | 1.38548i | −0.883512 | − | 0.468408i | \(-0.844828\pi\) |
0.398710 | − | 0.917077i | \(-0.369458\pi\) | |||||||
\(12\) | 4.65362 | − | 4.65362i | 0.387801 | − | 0.387801i | ||||
\(13\) | −5.47235 | + | 11.3635i | −0.420950 | + | 0.874112i | 0.577387 | + | 0.816471i | \(0.304072\pi\) |
−0.998337 | + | 0.0576417i | \(0.981642\pi\) | |||||||
\(14\) | 9.72184 | − | 1.09539i | 0.694417 | − | 0.0782420i | ||||
\(15\) | 3.32144 | + | 29.4786i | 0.221429 | + | 1.96524i | ||||
\(16\) | −5.83035 | − | 2.80775i | −0.364397 | − | 0.175484i | ||||
\(17\) | 11.5542 | + | 11.5542i | 0.679659 | + | 0.679659i | 0.959923 | − | 0.280264i | \(-0.0904219\pi\) |
−0.280264 | + | 0.959923i | \(0.590422\pi\) | |||||||
\(18\) | 9.17568 | − | 3.21071i | 0.509760 | − | 0.178373i | ||||
\(19\) | 12.1000 | − | 7.60291i | 0.636840 | − | 0.400153i | −0.174558 | − | 0.984647i | \(-0.555850\pi\) |
0.811398 | + | 0.584494i | \(0.198707\pi\) | |||||||
\(20\) | −11.4370 | + | 5.50778i | −0.571851 | + | 0.275389i | ||||
\(21\) | −23.7664 | − | 8.31623i | −1.13173 | − | 0.396011i | ||||
\(22\) | 23.9864 | − | 5.47475i | 1.09029 | − | 0.248852i | ||||
\(23\) | −2.84328 | + | 3.56536i | −0.123621 | + | 0.155016i | −0.839791 | − | 0.542910i | \(-0.817322\pi\) |
0.716170 | + | 0.697926i | \(0.245894\pi\) | |||||||
\(24\) | 21.1557 | + | 26.5284i | 0.881488 | + | 1.10535i | ||||
\(25\) | 7.16951 | − | 31.4117i | 0.286780 | − | 1.25647i | ||||
\(26\) | −16.2727 | − | 10.2248i | −0.625873 | − | 0.393262i | ||||
\(27\) | 10.2113 | + | 1.15053i | 0.378195 | + | 0.0426124i | ||||
\(28\) | − | 10.7746i | − | 0.384808i | ||||||
\(29\) | 23.5053 | − | 16.9853i | 0.810527 | − | 0.585702i | ||||
\(30\) | −45.2026 | −1.50675 | ||||||||
\(31\) | −1.32747 | + | 11.7816i | −0.0428217 | + | 0.380053i | 0.953963 | + | 0.299925i | \(0.0969616\pi\) |
−0.996785 | + | 0.0801282i | \(0.974467\pi\) | |||||||
\(32\) | −13.1667 | + | 20.9547i | −0.411461 | + | 0.654836i | ||||
\(33\) | −61.7338 | − | 14.0903i | −1.87072 | − | 0.426980i | ||||
\(34\) | −19.4664 | + | 15.5239i | −0.572541 | + | 0.456586i | ||||
\(35\) | 37.9713 | + | 30.2811i | 1.08490 | + | 0.865175i | ||||
\(36\) | −2.38235 | − | 10.4377i | −0.0661763 | − | 0.289937i | ||||
\(37\) | 2.68961 | − | 7.68647i | 0.0726922 | − | 0.207742i | −0.901804 | − | 0.432144i | \(-0.857757\pi\) |
0.974497 | + | 0.224402i | \(0.0720428\pi\) | |||||||
\(38\) | 9.44783 | + | 19.6186i | 0.248627 | + | 0.516280i | ||||
\(39\) | 26.3156 | + | 41.8810i | 0.674759 | + | 1.07387i | ||||
\(40\) | −21.6161 | − | 61.7752i | −0.540402 | − | 1.54438i | ||||
\(41\) | 10.8682 | − | 10.8682i | 0.265077 | − | 0.265077i | −0.562036 | − | 0.827113i | \(-0.689982\pi\) |
0.827113 | + | 0.562036i | \(0.189982\pi\) | |||||||
\(42\) | 16.6470 | − | 34.5678i | 0.396357 | − | 0.823043i | ||||
\(43\) | −41.8092 | + | 4.71076i | −0.972307 | + | 0.109553i | −0.583804 | − | 0.811895i | \(-0.698436\pi\) |
−0.388503 | + | 0.921447i | \(0.627008\pi\) | |||||||
\(44\) | −3.03380 | − | 26.9258i | −0.0689501 | − | 0.611949i | ||||
\(45\) | 43.4795 | + | 20.9386i | 0.966211 | + | 0.465303i | ||||
\(46\) | −4.91352 | − | 4.91352i | −0.106816 | − | 0.106816i | ||||
\(47\) | −28.2097 | + | 9.87101i | −0.600207 | + | 0.210022i | −0.613244 | − | 0.789893i | \(-0.710136\pi\) |
0.0130369 | + | 0.999915i | \(0.495850\pi\) | |||||||
\(48\) | −21.4883 | + | 13.5020i | −0.447672 | + | 0.281291i | ||||
\(49\) | 7.00665 | − | 3.37423i | 0.142993 | − | 0.0688618i | ||||
\(50\) | 46.3398 | + | 16.2150i | 0.926796 | + | 0.324300i | ||||
\(51\) | 62.4744 | − | 14.2594i | 1.22499 | − | 0.279596i | ||||
\(52\) | −13.1966 | + | 16.5480i | −0.253780 | + | 0.318230i | ||||
\(53\) | −25.1303 | − | 31.5124i | −0.474157 | − | 0.594574i | 0.486026 | − | 0.873944i | \(-0.338446\pi\) |
−0.960184 | + | 0.279370i | \(0.909874\pi\) | |||||||
\(54\) | −3.48423 | + | 15.2654i | −0.0645228 | + | 0.282693i | ||||
\(55\) | 103.417 | + | 64.9809i | 1.88030 | + | 1.18147i | ||||
\(56\) | 55.2021 | + | 6.21978i | 0.985751 | + | 0.111068i | ||||
\(57\) | − | 56.0423i | − | 0.983199i | ||||||
\(58\) | 21.7087 | + | 38.4890i | 0.374288 | + | 0.663604i | ||||
\(59\) | −72.0544 | −1.22126 | −0.610631 | − | 0.791915i | \(-0.709084\pi\) | ||||
−0.610631 | + | 0.791915i | \(0.709084\pi\) | |||||||
\(60\) | −5.57388 | + | 49.4696i | −0.0928980 | + | 0.824493i | ||||
\(61\) | −36.0211 | + | 57.3273i | −0.590510 | + | 0.939791i | 0.409117 | + | 0.912482i | \(0.365837\pi\) |
−0.999627 | + | 0.0273095i | \(0.991306\pi\) | |||||||
\(62\) | −17.6131 | − | 4.02006i | −0.284081 | − | 0.0648397i | ||||
\(63\) | −32.0248 | + | 25.5389i | −0.508331 | + | 0.405380i | ||||
\(64\) | −49.7205 | − | 39.6508i | −0.776883 | − | 0.619543i | ||||
\(65\) | −21.2297 | − | 93.0134i | −0.326611 | − | 1.43097i | ||||
\(66\) | 31.8675 | − | 91.0722i | 0.482842 | − | 1.37988i | ||||
\(67\) | −40.9142 | − | 84.9592i | −0.610659 | − | 1.26805i | −0.945454 | − | 0.325756i | \(-0.894381\pi\) |
0.334794 | − | 0.942291i | \(-0.391333\pi\) | |||||||
\(68\) | 14.5890 | + | 23.2182i | 0.214543 | + | 0.341444i | ||||
\(69\) | 5.90672 | + | 16.8804i | 0.0856046 | + | 0.244644i | ||||
\(70\) | −52.3293 | + | 52.3293i | −0.747561 | + | 0.747561i | ||||
\(71\) | 13.8330 | − | 28.7244i | 0.194830 | − | 0.404570i | −0.780552 | − | 0.625091i | \(-0.785062\pi\) |
0.975382 | + | 0.220522i | \(0.0707760\pi\) | |||||||
\(72\) | 54.8514 | − | 6.18026i | 0.761824 | − | 0.0858370i | ||||
\(73\) | 14.9474 | + | 132.662i | 0.204758 | + | 1.81728i | 0.504668 | + | 0.863313i | \(0.331615\pi\) |
−0.299910 | + | 0.953968i | \(0.596957\pi\) | |||||||
\(74\) | 11.1798 | + | 5.38392i | 0.151079 | + | 0.0727557i | ||||
\(75\) | −89.3466 | − | 89.3466i | −1.19129 | − | 1.19129i | ||||
\(76\) | 22.6356 | − | 7.92053i | 0.297836 | − | 0.104217i | ||||
\(77\) | −87.7787 | + | 55.1550i | −1.13998 | + | 0.716299i | ||||
\(78\) | −67.9050 | + | 32.7013i | −0.870577 | + | 0.419248i | ||||
\(79\) | 82.9084 | + | 29.0109i | 1.04947 | + | 0.367227i | 0.799274 | − | 0.600967i | \(-0.205218\pi\) |
0.250200 | + | 0.968194i | \(0.419504\pi\) | |||||||
\(80\) | 47.7232 | − | 10.8925i | 0.596540 | − | 0.136156i | ||||
\(81\) | 60.9253 | − | 76.3979i | 0.752164 | − | 0.943184i | ||||
\(82\) | 14.6022 | + | 18.3106i | 0.178075 | + | 0.223300i | ||||
\(83\) | −14.4328 | + | 63.2343i | −0.173889 | + | 0.761859i | 0.810483 | + | 0.585762i | \(0.199205\pi\) |
−0.984373 | + | 0.176098i | \(0.943653\pi\) | |||||||
\(84\) | −35.7782 | − | 22.4809i | −0.425931 | − | 0.267630i | ||||
\(85\) | −122.825 | − | 13.8391i | −1.44500 | − | 0.162813i | ||||
\(86\) | − | 64.1103i | − | 0.745469i | ||||||
\(87\) | −7.35846 | − | 113.491i | −0.0845800 | − | 1.30449i | ||||
\(88\) | 139.701 | 1.58751 | ||||||||
\(89\) | 10.8152 | − | 95.9875i | 0.121519 | − | 1.07851i | −0.773907 | − | 0.633300i | \(-0.781700\pi\) |
0.895426 | − | 0.445211i | \(-0.146871\pi\) | |||||||
\(90\) | −39.1228 | + | 62.2635i | −0.434697 | + | 0.691817i | ||||
\(91\) | 78.9486 | + | 18.0195i | 0.867567 | + | 0.198016i | ||||
\(92\) | −5.98322 | + | 4.77146i | −0.0650350 | + | 0.0518637i | ||||
\(93\) | 36.3524 | + | 28.9901i | 0.390886 | + | 0.311721i | ||||
\(94\) | −10.1337 | − | 44.3987i | −0.107805 | − | 0.472327i | ||||
\(95\) | −35.7022 | + | 102.031i | −0.375813 | + | 1.07401i | ||||
\(96\) | 42.1103 | + | 87.4429i | 0.438649 | + | 0.910864i | ||||
\(97\) | 63.6202 | + | 101.251i | 0.655879 | + | 1.04382i | 0.994685 | + | 0.102969i | \(0.0328341\pi\) |
−0.338806 | + | 0.940856i | \(0.610023\pi\) | |||||||
\(98\) | 3.91380 | + | 11.1850i | 0.0399367 | + | 0.114133i | ||||
\(99\) | −72.8390 | + | 72.8390i | −0.735747 | + | 0.735747i | ||||
\(100\) | 23.4597 | − | 48.7146i | 0.234597 | − | 0.487146i | ||||
\(101\) | 44.5062 | − | 5.01465i | 0.440656 | − | 0.0496500i | 0.111150 | − | 0.993804i | \(-0.464547\pi\) |
0.329505 | + | 0.944154i | \(0.393118\pi\) | |||||||
\(102\) | 10.9327 | + | 97.0303i | 0.107183 | + | 0.951277i | ||||
\(103\) | −58.9299 | − | 28.3791i | −0.572135 | − | 0.275526i | 0.125365 | − | 0.992111i | \(-0.459990\pi\) |
−0.697500 | + | 0.716585i | \(0.745704\pi\) | |||||||
\(104\) | −77.1631 | − | 77.1631i | −0.741953 | − | 0.741953i | ||||
\(105\) | 179.778 | − | 62.9069i | 1.71217 | − | 0.599113i | ||||
\(106\) | 52.0029 | − | 32.6756i | 0.490594 | − | 0.308260i | ||||
\(107\) | 73.6724 | − | 35.4788i | 0.688527 | − | 0.331577i | −0.0566968 | − | 0.998391i | \(-0.518057\pi\) |
0.745224 | + | 0.666814i | \(0.232343\pi\) | |||||||
\(108\) | 16.2768 | + | 5.69550i | 0.150711 | + | 0.0527361i | ||||
\(109\) | −70.6783 | + | 16.1319i | −0.648425 | + | 0.147999i | −0.534069 | − | 0.845441i | \(-0.679338\pi\) |
−0.114356 | + | 0.993440i | \(0.536481\pi\) | |||||||
\(110\) | −116.036 | + | 145.505i | −1.05488 | + | 1.32277i | ||||
\(111\) | −19.9119 | − | 24.9687i | −0.179386 | − | 0.224943i | ||||
\(112\) | −9.24542 | + | 40.5068i | −0.0825484 | + | 0.361668i | ||||
\(113\) | −32.1123 | − | 20.1775i | −0.284180 | − | 0.178562i | 0.382397 | − | 0.923998i | \(-0.375099\pi\) |
−0.666577 | + | 0.745436i | \(0.732241\pi\) | |||||||
\(114\) | 84.8582 | + | 9.56122i | 0.744370 | + | 0.0838704i | ||||
\(115\) | − | 34.4955i | − | 0.299961i | ||||||
\(116\) | 44.7992 | − | 19.0119i | 0.386200 | − | 0.163896i | ||||
\(117\) | 80.4644 | 0.687730 | ||||||||
\(118\) | 12.2930 | − | 109.103i | 0.104178 | − | 0.924605i | ||||
\(119\) | 55.8167 | − | 88.8317i | 0.469048 | − | 0.746485i | ||||
\(120\) | −250.232 | − | 57.1138i | −2.08527 | − | 0.475949i | ||||
\(121\) | −109.227 | + | 87.1058i | −0.902704 | + | 0.719882i | ||||
\(122\) | −80.6584 | − | 64.3229i | −0.661134 | − | 0.527237i | ||||
\(123\) | −13.4127 | − | 58.7650i | −0.109046 | − | 0.477764i | ||||
\(124\) | −6.57139 | + | 18.7800i | −0.0529951 | + | 0.151451i | ||||
\(125\) | 23.6947 | + | 49.2026i | 0.189558 | + | 0.393621i | ||||
\(126\) | −33.2069 | − | 52.8485i | −0.263547 | − | 0.419432i | ||||
\(127\) | −16.1833 | − | 46.2491i | −0.127427 | − | 0.364166i | 0.862441 | − | 0.506158i | \(-0.168935\pi\) |
−0.989868 | + | 0.141992i | \(0.954649\pi\) | |||||||
\(128\) | −1.47690 | + | 1.47690i | −0.0115383 | + | 0.0115383i | ||||
\(129\) | −71.5911 | + | 148.660i | −0.554970 | + | 1.15241i | ||||
\(130\) | 144.461 | − | 16.2768i | 1.11124 | − | 0.125206i | ||||
\(131\) | −9.85869 | − | 87.4983i | −0.0752572 | − | 0.667926i | −0.973541 | − | 0.228511i | \(-0.926614\pi\) |
0.898284 | − | 0.439415i | \(-0.144814\pi\) | |||||||
\(132\) | −95.7396 | − | 46.1058i | −0.725300 | − | 0.349286i | ||||
\(133\) | −64.8780 | − | 64.8780i | −0.487805 | − | 0.487805i | ||||
\(134\) | 135.624 | − | 47.4568i | 1.01212 | − | 0.354155i | ||||
\(135\) | −65.8163 | + | 41.3551i | −0.487528 | + | 0.306334i | ||||
\(136\) | −127.376 | + | 61.3412i | −0.936591 | + | 0.451039i | ||||
\(137\) | 47.1122 | + | 16.4853i | 0.343885 | + | 0.120330i | 0.496695 | − | 0.867925i | \(-0.334547\pi\) |
−0.152811 | + | 0.988255i | \(0.548832\pi\) | |||||||
\(138\) | −26.5677 | + | 6.06392i | −0.192520 | + | 0.0439414i | ||||
\(139\) | 3.30447 | − | 4.14367i | 0.0237732 | − | 0.0298106i | −0.769803 | − | 0.638282i | \(-0.779645\pi\) |
0.793576 | + | 0.608471i | \(0.208217\pi\) | |||||||
\(140\) | 50.8163 | + | 63.7217i | 0.362974 | + | 0.455155i | ||||
\(141\) | −26.0811 | + | 114.269i | −0.184972 | + | 0.810417i | ||||
\(142\) | 41.1340 | + | 25.8462i | 0.289676 | + | 0.182015i | ||||
\(143\) | 202.366 | + | 22.8012i | 1.41515 | + | 0.159449i | ||||
\(144\) | 41.2846i | 0.286698i | ||||||||
\(145\) | −58.9034 | + | 211.310i | −0.406231 | + | 1.45731i | ||||
\(146\) | −203.424 | −1.39331 | ||||||||
\(147\) | 3.41472 | − | 30.3065i | 0.0232294 | − | 0.206167i | ||||
\(148\) | 7.27072 | − | 11.5713i | 0.0491265 | − | 0.0781844i | ||||
\(149\) | 121.378 | + | 27.7037i | 0.814617 | + | 0.185931i | 0.609479 | − | 0.792802i | \(-0.291379\pi\) |
0.205138 | + | 0.978733i | \(0.434236\pi\) | |||||||
\(150\) | 150.530 | − | 120.044i | 1.00353 | − | 0.800291i | ||||
\(151\) | 116.656 | + | 93.0300i | 0.772556 | + | 0.616093i | 0.928355 | − | 0.371696i | \(-0.121224\pi\) |
−0.155798 | + | 0.987789i | \(0.549795\pi\) | |||||||
\(152\) | 27.5129 | + | 120.542i | 0.181006 | + | 0.793039i | ||||
\(153\) | 34.4302 | − | 98.3958i | 0.225034 | − | 0.643110i | ||||
\(154\) | −68.5389 | − | 142.323i | −0.445058 | − | 0.924173i | ||||
\(155\) | −47.7150 | − | 75.9380i | −0.307839 | − | 0.489923i | ||||
\(156\) | 27.4149 | + | 78.3474i | 0.175737 | + | 0.502227i | ||||
\(157\) | 112.055 | − | 112.055i | 0.713725 | − | 0.713725i | −0.253587 | − | 0.967312i | \(-0.581611\pi\) |
0.967312 | + | 0.253587i | \(0.0816105\pi\) | |||||||
\(158\) | −58.0725 | + | 120.589i | −0.367548 | + | 0.763221i | ||||
\(159\) | −157.074 | + | 17.6980i | −0.987886 | + | 0.111308i | ||||
\(160\) | −20.9601 | − | 186.026i | −0.131000 | − | 1.16266i | ||||
\(161\) | 26.3798 | + | 12.7038i | 0.163850 | + | 0.0789058i | ||||
\(162\) | 105.286 | + | 105.286i | 0.649913 | + | 0.649913i | ||||
\(163\) | −108.237 | + | 37.8739i | −0.664033 | + | 0.232355i | −0.641188 | − | 0.767384i | \(-0.721558\pi\) |
−0.0228453 | + | 0.999739i | \(0.507273\pi\) | |||||||
\(164\) | 21.8396 | − | 13.7227i | 0.133168 | − | 0.0836752i | ||||
\(165\) | 431.551 | − | 207.824i | 2.61546 | − | 1.25954i | ||||
\(166\) | −93.2858 | − | 32.6421i | −0.561963 | − | 0.196639i | ||||
\(167\) | −39.7689 | + | 9.07699i | −0.238137 | + | 0.0543532i | −0.339924 | − | 0.940453i | \(-0.610401\pi\) |
0.101787 | + | 0.994806i | \(0.467544\pi\) | |||||||
\(168\) | 135.831 | − | 170.327i | 0.808517 | − | 1.01385i | ||||
\(169\) | 6.18821 | + | 7.75977i | 0.0366166 | + | 0.0459158i | ||||
\(170\) | 41.9098 | − | 183.619i | 0.246528 | − | 1.08011i | ||||
\(171\) | −77.1945 | − | 48.5045i | −0.451430 | − | 0.283652i | ||||
\(172\) | −70.1622 | − | 7.90538i | −0.407919 | − | 0.0459615i | ||||
\(173\) | 92.8408i | 0.536652i | 0.963328 | + | 0.268326i | \(0.0864704\pi\) | ||||
−0.963328 | + | 0.268326i | \(0.913530\pi\) | |||||||
\(174\) | 173.101 | + | 8.22034i | 0.994835 | + | 0.0472434i | ||||
\(175\) | −206.866 | −1.18209 | ||||||||
\(176\) | −11.6988 | + | 103.830i | −0.0664705 | + | 0.589942i | ||||
\(177\) | −150.339 | + | 239.264i | −0.849375 | + | 1.35177i | ||||
\(178\) | 143.497 | + | 32.7523i | 0.806164 | + | 0.184002i | ||||
\(179\) | −259.613 | + | 207.034i | −1.45035 | + | 1.15662i | −0.492153 | + | 0.870509i | \(0.663790\pi\) |
−0.958198 | + | 0.286108i | \(0.907639\pi\) | |||||||
\(180\) | 63.3168 | + | 50.4935i | 0.351760 | + | 0.280519i | ||||
\(181\) | −5.32646 | − | 23.3367i | −0.0294279 | − | 0.128932i | 0.958080 | − | 0.286500i | \(-0.0924919\pi\) |
−0.987508 | + | 0.157568i | \(0.949635\pi\) | |||||||
\(182\) | −40.7539 | + | 116.468i | −0.223923 | + | 0.639935i | ||||
\(183\) | 115.204 | + | 239.223i | 0.629529 | + | 1.30723i | ||||
\(184\) | −20.9919 | − | 33.4085i | −0.114087 | − | 0.181568i | ||||
\(185\) | 20.3452 | + | 58.1432i | 0.109974 | + | 0.314288i | ||||
\(186\) | −50.0981 | + | 50.0981i | −0.269345 | + | 0.269345i | ||||
\(187\) | 114.473 | − | 237.707i | 0.612158 | − | 1.27116i | ||||
\(188\) | −49.8394 | + | 5.61555i | −0.265103 | + | 0.0298699i | ||||
\(189\) | −7.38704 | − | 65.5618i | −0.0390849 | − | 0.346888i | ||||
\(190\) | −148.402 | − | 71.4668i | −0.781065 | − | 0.376141i | ||||
\(191\) | 80.4392 | + | 80.4392i | 0.421147 | + | 0.421147i | 0.885599 | − | 0.464451i | \(-0.153748\pi\) |
−0.464451 | + | 0.885599i | \(0.653748\pi\) | |||||||
\(192\) | −235.405 | + | 82.3716i | −1.22607 | + | 0.429019i | ||||
\(193\) | 185.269 | − | 116.412i | 0.959941 | − | 0.603171i | 0.0416731 | − | 0.999131i | \(-0.486731\pi\) |
0.918267 | + | 0.395961i | \(0.129588\pi\) | |||||||
\(194\) | −164.166 | + | 79.0584i | −0.846218 | + | 0.407517i | ||||
\(195\) | −353.155 | − | 123.574i | −1.81105 | − | 0.633715i | ||||
\(196\) | 12.7234 | − | 2.90404i | 0.0649155 | − | 0.0148165i | ||||
\(197\) | 156.057 | − | 195.689i | 0.792166 | − | 0.993345i | −0.207719 | − | 0.978189i | \(-0.566604\pi\) |
0.999885 | − | 0.0151563i | \(-0.00482457\pi\) | |||||||
\(198\) | −97.8645 | − | 122.718i | −0.494265 | − | 0.619789i | ||||
\(199\) | 68.8429 | − | 301.621i | 0.345944 | − | 1.51568i | −0.440349 | − | 0.897827i | \(-0.645145\pi\) |
0.786293 | − | 0.617854i | \(-0.211998\pi\) | |||||||
\(200\) | 236.039 | + | 148.313i | 1.18020 | + | 0.741567i | ||||
\(201\) | −367.482 | − | 41.4052i | −1.82827 | − | 0.205996i | ||||
\(202\) | 68.2460i | 0.337851i | ||||||||
\(203\) | −139.903 | − | 122.866i | −0.689176 | − | 0.605249i | ||||
\(204\) | 107.538 | 0.527146 | ||||||||
\(205\) | −13.0174 | + | 115.532i | −0.0634994 | + | 0.563573i | ||||
\(206\) | 53.0250 | − | 84.3888i | 0.257403 | − | 0.409654i | ||||
\(207\) | 28.3639 | + | 6.47388i | 0.137024 | + | 0.0312748i | ||||
\(208\) | 63.8115 | − | 50.8880i | 0.306786 | − | 0.244654i | ||||
\(209\) | −180.398 | − | 143.862i | −0.863147 | − | 0.688337i | ||||
\(210\) | 64.5811 | + | 282.948i | 0.307529 | + | 1.34737i | ||||
\(211\) | 15.0592 | − | 43.0368i | 0.0713708 | − | 0.203966i | −0.902672 | − | 0.430329i | \(-0.858398\pi\) |
0.974043 | + | 0.226363i | \(0.0726834\pi\) | |||||||
\(212\) | −29.3477 | − | 60.9410i | −0.138432 | − | 0.287458i | ||||
\(213\) | −66.5203 | − | 105.866i | −0.312302 | − | 0.497025i | ||||
\(214\) | 41.1522 | + | 117.606i | 0.192300 | + | 0.549562i | ||||
\(215\) | 225.044 | − | 225.044i | 1.04672 | − | 1.04672i | ||||
\(216\) | −38.5759 | + | 80.1038i | −0.178592 | + | 0.370851i | ||||
\(217\) | 75.6444 | − | 8.52307i | 0.348592 | − | 0.0392768i | ||||
\(218\) | −12.3683 | − | 109.772i | −0.0567354 | − | 0.503541i | ||||
\(219\) | 471.703 | + | 227.160i | 2.15389 | + | 1.03726i | ||||
\(220\) | 144.932 | + | 144.932i | 0.658782 | + | 0.658782i | ||||
\(221\) | −194.525 | + | 68.0671i | −0.880202 | + | 0.307996i | ||||
\(222\) | 41.2042 | − | 25.8903i | 0.185605 | − | 0.116623i | ||||
\(223\) | −125.985 | + | 60.6713i | −0.564956 | + | 0.272069i | −0.694485 | − | 0.719507i | \(-0.744368\pi\) |
0.129529 | + | 0.991576i | \(0.458654\pi\) | |||||||
\(224\) | 149.979 | + | 52.4798i | 0.669548 | + | 0.234285i | ||||
\(225\) | −200.398 | + | 45.7396i | −0.890659 | + | 0.203287i | ||||
\(226\) | 36.0310 | − | 45.1814i | 0.159429 | − | 0.199918i | ||||
\(227\) | 18.6570 | + | 23.3951i | 0.0821894 | + | 0.103062i | 0.821226 | − | 0.570603i | \(-0.193290\pi\) |
−0.739037 | + | 0.673665i | \(0.764719\pi\) | |||||||
\(228\) | 20.9275 | − | 91.6896i | 0.0917875 | − | 0.402147i | ||||
\(229\) | −251.179 | − | 157.826i | −1.09685 | − | 0.689196i | −0.143073 | − | 0.989712i | \(-0.545698\pi\) |
−0.953777 | + | 0.300516i | \(0.902841\pi\) | |||||||
\(230\) | 52.2325 | + | 5.88518i | 0.227098 | + | 0.0255878i | ||||
\(231\) | 406.557i | 1.75999i | ||||||||
\(232\) | 71.5436 | + | 240.496i | 0.308378 | + | 1.03662i | ||||
\(233\) | 102.836 | 0.441355 | 0.220678 | − | 0.975347i | \(-0.429173\pi\) | ||||
0.220678 | + | 0.975347i | \(0.429173\pi\) | |||||||
\(234\) | −13.7278 | + | 121.838i | −0.0586658 | + | 0.520673i | ||||
\(235\) | 120.279 | − | 191.423i | 0.511826 | − | 0.814567i | ||||
\(236\) | −117.887 | − | 26.9068i | −0.499519 | − | 0.114012i | ||||
\(237\) | 269.320 | − | 214.775i | 1.13637 | − | 0.906225i | ||||
\(238\) | 124.985 | + | 99.6718i | 0.525145 | + | 0.418789i | ||||
\(239\) | 82.4096 | + | 361.060i | 0.344810 | + | 1.51071i | 0.788783 | + | 0.614671i | \(0.210711\pi\) |
−0.443973 | + | 0.896040i | \(0.646432\pi\) | |||||||
\(240\) | 63.4034 | − | 181.196i | 0.264181 | − | 0.754985i | ||||
\(241\) | −23.2235 | − | 48.2241i | −0.0963630 | − | 0.200100i | 0.847215 | − | 0.531250i | \(-0.178278\pi\) |
−0.943578 | + | 0.331150i | \(0.892563\pi\) | |||||||
\(242\) | −113.259 | − | 180.251i | −0.468012 | − | 0.744837i | ||||
\(243\) | −96.0228 | − | 274.417i | −0.395155 | − | 1.12929i | ||||
\(244\) | −80.3407 | + | 80.3407i | −0.329265 | + | 0.329265i | ||||
\(245\) | −25.5238 | + | 53.0008i | −0.104179 | + | 0.216330i | ||||
\(246\) | 91.2691 | − | 10.2836i | 0.371012 | − | 0.0418031i | ||||
\(247\) | 20.1801 | + | 179.103i | 0.0817007 | + | 0.725114i | ||||
\(248\) | −92.4227 | − | 44.5084i | −0.372672 | − | 0.179470i | ||||
\(249\) | 179.862 | + | 179.862i | 0.722338 | + | 0.722338i | ||||
\(250\) | −78.5441 | + | 27.4838i | −0.314177 | + | 0.109935i | ||||
\(251\) | 309.133 | − | 194.241i | 1.23160 | − | 0.773868i | 0.250644 | − | 0.968079i | \(-0.419358\pi\) |
0.980960 | + | 0.194211i | \(0.0622147\pi\) | |||||||
\(252\) | −61.9319 | + | 29.8248i | −0.245762 | + | 0.118353i | ||||
\(253\) | 69.5001 | + | 24.3191i | 0.274704 | + | 0.0961231i | ||||
\(254\) | 72.7905 | − | 16.6139i | 0.286577 | − | 0.0654092i | ||||
\(255\) | −302.225 | + | 378.979i | −1.18520 | + | 1.48619i | ||||
\(256\) | −160.587 | − | 201.370i | −0.627294 | − | 0.786602i | ||||
\(257\) | −94.8505 | + | 415.567i | −0.369068 | + | 1.61699i | 0.360276 | + | 0.932846i | \(0.382683\pi\) |
−0.729344 | + | 0.684147i | \(0.760175\pi\) | |||||||
\(258\) | −212.885 | − | 133.764i | −0.825135 | − | 0.518466i | ||||
\(259\) | −51.9565 | − | 5.85409i | −0.200604 | − | 0.0226027i | ||||
\(260\) | − | 160.105i | − | 0.615787i | ||||||
\(261\) | −162.695 | − | 88.0905i | −0.623352 | − | 0.337511i | ||||
\(262\) | 134.170 | 0.512100 | ||||||||
\(263\) | 1.99454 | − | 17.7021i | 0.00758382 | − | 0.0673083i | −0.989350 | − | 0.145554i | \(-0.953503\pi\) |
0.996934 | + | 0.0782461i | \(0.0249320\pi\) | |||||||
\(264\) | 291.482 | − | 463.892i | 1.10410 | − | 1.75717i | ||||
\(265\) | 297.244 | + | 67.8441i | 1.12168 | + | 0.256015i | ||||
\(266\) | 109.306 | − | 87.1684i | 0.410924 | − | 0.327701i | ||||
\(267\) | −296.170 | − | 236.188i | −1.10925 | − | 0.884599i | ||||
\(268\) | −35.2130 | − | 154.278i | −0.131392 | − | 0.575664i | ||||
\(269\) | −69.6952 | + | 199.177i | −0.259090 | + | 0.740437i | 0.738703 | + | 0.674031i | \(0.235439\pi\) |
−0.997793 | + | 0.0664053i | \(0.978847\pi\) | |||||||
\(270\) | −51.3904 | − | 106.713i | −0.190335 | − | 0.395234i | ||||
\(271\) | 168.487 | + | 268.145i | 0.621722 | + | 0.989464i | 0.998016 | + | 0.0629639i | \(0.0200553\pi\) |
−0.376294 | + | 0.926500i | \(0.622802\pi\) | |||||||
\(272\) | −34.9238 | − | 99.8065i | −0.128396 | − | 0.366935i | ||||
\(273\) | 224.559 | − | 224.559i | 0.822562 | − | 0.822562i | ||||
\(274\) | −32.9993 | + | 68.5238i | −0.120436 | + | 0.250087i | ||||
\(275\) | −516.958 | + | 58.2472i | −1.87985 | + | 0.211808i | ||||
\(276\) | 3.36029 | + | 29.8234i | 0.0121750 | + | 0.108056i | ||||
\(277\) | −486.478 | − | 234.275i | −1.75624 | − | 0.845760i | −0.975216 | − | 0.221257i | \(-0.928984\pi\) |
−0.781022 | − | 0.624503i | \(-0.785302\pi\) | |||||||
\(278\) | 5.71050 | + | 5.71050i | 0.0205414 | + | 0.0205414i | ||||
\(279\) | 71.3947 | − | 24.9821i | 0.255895 | − | 0.0895416i | ||||
\(280\) | −355.802 | + | 223.565i | −1.27072 | + | 0.798448i | ||||
\(281\) | −178.225 | + | 85.8285i | −0.634252 | + | 0.305439i | −0.723244 | − | 0.690593i | \(-0.757350\pi\) |
0.0889921 | + | 0.996032i | \(0.471635\pi\) | |||||||
\(282\) | −168.574 | − | 58.9866i | −0.597780 | − | 0.209172i | ||||
\(283\) | 155.124 | − | 35.4061i | 0.548143 | − | 0.125110i | 0.0605241 | − | 0.998167i | \(-0.480723\pi\) |
0.487619 | + | 0.873057i | \(0.337866\pi\) | |||||||
\(284\) | 33.3582 | − | 41.8298i | 0.117458 | − | 0.147288i | ||||
\(285\) | 264.312 | + | 331.437i | 0.927412 | + | 1.16294i | ||||
\(286\) | −69.0502 | + | 302.529i | −0.241434 | + | 1.05779i | ||||
\(287\) | −83.5573 | − | 52.5025i | −0.291140 | − | 0.182936i | ||||
\(288\) | 156.893 | + | 17.6776i | 0.544768 | + | 0.0613806i | ||||
\(289\) | − | 22.0004i | − | 0.0761260i | ||||||
\(290\) | −309.912 | − | 125.241i | −1.06866 | − | 0.431867i | ||||
\(291\) | 468.956 | 1.61153 | ||||||||
\(292\) | −25.0839 | + | 222.626i | −0.0859039 | + | 0.762418i | ||||
\(293\) | 131.410 | − | 209.138i | 0.448498 | − | 0.713781i | −0.543586 | − | 0.839353i | \(-0.682934\pi\) |
0.992084 | + | 0.125572i | \(0.0400768\pi\) | |||||||
\(294\) | 45.3069 | + | 10.3410i | 0.154105 | + | 0.0351735i | ||||
\(295\) | 426.134 | − | 339.830i | 1.44452 | − | 1.15197i | ||||
\(296\) | 55.0866 | + | 43.9301i | 0.186103 | + | 0.148412i | ||||
\(297\) | −36.9204 | − | 161.759i | −0.124311 | − | 0.544643i | ||||
\(298\) | −62.6564 | + | 179.062i | −0.210256 | + | 0.600878i | ||||
\(299\) | −24.9554 | − | 51.8205i | −0.0834630 | − | 0.173313i | ||||
\(300\) | −112.814 | − | 179.542i | −0.376046 | − | 0.598474i | ||||
\(301\) | 89.2202 | + | 254.977i | 0.296413 | + | 0.847098i | ||||
\(302\) | −160.767 | + | 160.767i | −0.532340 | + | 0.532340i | ||||
\(303\) | 76.2093 | − | 158.250i | 0.251516 | − | 0.522278i | ||||
\(304\) | −91.8941 | + | 10.3540i | −0.302283 | + | 0.0340591i | ||||
\(305\) | −57.3418 | − | 508.923i | −0.188006 | − | 1.66860i | ||||
\(306\) | 143.115 | + | 68.9205i | 0.467696 | + | 0.225230i | ||||
\(307\) | 226.087 | + | 226.087i | 0.736440 | + | 0.736440i | 0.971887 | − | 0.235447i | \(-0.0756555\pi\) |
−0.235447 | + | 0.971887i | \(0.575655\pi\) | |||||||
\(308\) | −164.209 | + | 57.4592i | −0.533146 | + | 0.186556i | ||||
\(309\) | −217.191 | + | 136.470i | −0.702884 | + | 0.441652i | ||||
\(310\) | 123.124 | − | 59.2936i | 0.397175 | − | 0.191270i | ||||
\(311\) | 72.3712 | + | 25.3238i | 0.232705 | + | 0.0814269i | 0.444112 | − | 0.895971i | \(-0.353519\pi\) |
−0.211408 | + | 0.977398i | \(0.567805\pi\) | |||||||
\(312\) | −417.226 | + | 95.2292i | −1.33726 | + | 0.305222i | ||||
\(313\) | −344.367 | + | 431.823i | −1.10022 | + | 1.37963i | −0.182116 | + | 0.983277i | \(0.558294\pi\) |
−0.918100 | + | 0.396349i | \(0.870277\pi\) | |||||||
\(314\) | 150.554 | + | 188.789i | 0.479471 | + | 0.601238i | ||||
\(315\) | 68.9472 | − | 302.077i | 0.218880 | − | 0.958976i | ||||
\(316\) | 124.811 | + | 78.4241i | 0.394972 | + | 0.248177i | ||||
\(317\) | 7.26544 | + | 0.818619i | 0.0229194 | + | 0.00258239i | 0.123417 | − | 0.992355i | \(-0.460615\pi\) |
−0.100497 | + | 0.994937i | \(0.532043\pi\) | |||||||
\(318\) | − | 240.858i | − | 0.757414i | ||||||
\(319\) | −384.212 | − | 267.648i | −1.20443 | − | 0.839023i | ||||
\(320\) | 481.054 | 1.50330 | ||||||||
\(321\) | 35.9046 | − | 318.662i | 0.111852 | − | 0.992716i | ||||
\(322\) | −23.7365 | + | 37.7764i | −0.0737158 | + | 0.117318i | ||||
\(323\) | 227.651 | + | 51.9599i | 0.704802 | + | 0.160866i | ||||
\(324\) | 128.207 | − | 102.242i | 0.395701 | − | 0.315561i | ||||
\(325\) | 317.711 | + | 253.366i | 0.977573 | + | 0.779589i | ||||
\(326\) | −38.8819 | − | 170.353i | −0.119270 | − | 0.522554i | ||||
\(327\) | −93.9008 | + | 268.353i | −0.287158 | + | 0.820651i | ||||
\(328\) | 57.6991 | + | 119.813i | 0.175912 | + | 0.365285i | ||||
\(329\) | 102.091 | + | 162.478i | 0.310308 | + | 0.493853i | ||||
\(330\) | 241.057 | + | 688.903i | 0.730477 | + | 2.08758i | ||||
\(331\) | −60.5776 | + | 60.5776i | −0.183014 | + | 0.183014i | −0.792668 | − | 0.609654i | \(-0.791308\pi\) |
0.609654 | + | 0.792668i | \(0.291308\pi\) | |||||||
\(332\) | −47.2264 | + | 98.0667i | −0.142248 | + | 0.295382i | ||||
\(333\) | −51.6264 | + | 5.81690i | −0.155034 | + | 0.0174682i | ||||
\(334\) | −6.95934 | − | 61.7659i | −0.0208364 | − | 0.184928i | ||||
\(335\) | 642.661 | + | 309.489i | 1.91839 | + | 0.923849i | ||||
\(336\) | 115.217 | + | 115.217i | 0.342907 | + | 0.342907i | ||||
\(337\) | 319.145 | − | 111.674i | 0.947018 | − | 0.331376i | 0.187796 | − | 0.982208i | \(-0.439865\pi\) |
0.759222 | + | 0.650832i | \(0.225580\pi\) | |||||||
\(338\) | −12.8054 | + | 8.04620i | −0.0378859 | + | 0.0238053i | ||||
\(339\) | −134.003 | + | 64.5324i | −0.395289 | + | 0.190361i | ||||
\(340\) | −195.784 | − | 68.5077i | −0.575835 | − | 0.201493i | ||||
\(341\) | 186.635 | − | 42.5983i | 0.547318 | − | 0.124922i | ||||
\(342\) | 86.6146 | − | 108.611i | 0.253259 | − | 0.317577i | ||||
\(343\) | −227.285 | − | 285.007i | −0.662639 | − | 0.830923i | ||||
\(344\) | 81.0039 | − | 354.901i | 0.235476 | − | 1.03169i | ||||
\(345\) | −114.546 | − | 71.9739i | −0.332017 | − | 0.208620i | ||||
\(346\) | −140.578 | − | 15.8393i | −0.406294 | − | 0.0457783i | ||||
\(347\) | 98.3157i | 0.283330i | 0.989915 | + | 0.141665i | \(0.0452456\pi\) | ||||
−0.989915 | + | 0.141665i | \(0.954754\pi\) | |||||||
\(348\) | 30.3412 | − | 188.428i | 0.0871875 | − | 0.541459i | ||||
\(349\) | −534.702 | −1.53210 | −0.766049 | − | 0.642782i | \(-0.777780\pi\) | ||||
−0.766049 | + | 0.642782i | \(0.777780\pi\) | |||||||
\(350\) | 35.2929 | − | 313.233i | 0.100837 | − | 0.894951i | ||||
\(351\) | −68.9538 | + | 109.739i | −0.196449 | + | 0.312648i | ||||
\(352\) | 389.573 | + | 88.9176i | 1.10674 | + | 0.252607i | ||||
\(353\) | 263.129 | − | 209.839i | 0.745409 | − | 0.594444i | −0.175382 | − | 0.984500i | \(-0.556116\pi\) |
0.920791 | + | 0.390057i | \(0.127545\pi\) | |||||||
\(354\) | −336.640 | − | 268.461i | −0.950959 | − | 0.758365i | ||||
\(355\) | 53.6642 | + | 235.118i | 0.151167 | + | 0.662305i | ||||
\(356\) | 53.5385 | − | 153.004i | 0.150389 | − | 0.429787i | ||||
\(357\) | −178.515 | − | 370.690i | −0.500041 | − | 1.03835i | ||||
\(358\) | −269.195 | − | 428.422i | −0.751943 | − | 1.19671i | ||||
\(359\) | −81.3356 | − | 232.444i | −0.226561 | − | 0.647475i | −0.999909 | − | 0.0134931i | \(-0.995705\pi\) |
0.773348 | − | 0.633982i | \(-0.218581\pi\) | |||||||
\(360\) | −295.246 | + | 295.246i | −0.820127 | + | 0.820127i | ||||
\(361\) | −68.0273 | + | 141.260i | −0.188441 | + | 0.391302i | ||||
\(362\) | 36.2447 | − | 4.08380i | 0.100124 | − | 0.0112812i | ||||
\(363\) | 61.3440 | + | 544.443i | 0.168992 | + | 1.49984i | ||||
\(364\) | 122.437 | + | 58.9625i | 0.336365 | + | 0.161985i | ||||
\(365\) | −714.071 | − | 714.071i | −1.95636 | − | 1.95636i | ||||
\(366\) | −381.882 | + | 133.626i | −1.04339 | + | 0.365099i | ||||
\(367\) | 132.396 | − | 83.1898i | 0.360752 | − | 0.226675i | −0.339444 | − | 0.940626i | \(-0.610239\pi\) |
0.700196 | + | 0.713951i | \(0.253096\pi\) | |||||||
\(368\) | 26.5880 | − | 12.8041i | 0.0722500 | − | 0.0347938i | ||||
\(369\) | −92.5534 | − | 32.3859i | −0.250822 | − | 0.0877665i | ||||
\(370\) | −91.5103 | + | 20.8866i | −0.247325 | + | 0.0564504i | ||||
\(371\) | −161.350 | + | 202.327i | −0.434906 | + | 0.545355i | ||||
\(372\) | 48.6497 | + | 61.0048i | 0.130779 | + | 0.163991i | ||||
\(373\) | −130.647 | + | 572.403i | −0.350261 | + | 1.53459i | 0.426318 | + | 0.904573i | \(0.359810\pi\) |
−0.776579 | + | 0.630020i | \(0.783047\pi\) | |||||||
\(374\) | 340.401 | + | 213.888i | 0.910162 | + | 0.571893i | ||||
\(375\) | 212.821 | + | 23.9791i | 0.567522 | + | 0.0639443i | ||||
\(376\) | − | 258.586i | − | 0.687728i | ||||||
\(377\) | 64.3831 | + | 360.051i | 0.170778 | + | 0.955043i | ||||
\(378\) | 100.533 | 0.265959 | ||||||||
\(379\) | −7.44921 | + | 66.1135i | −0.0196549 | + | 0.174442i | −0.999704 | − | 0.0243113i | \(-0.992261\pi\) |
0.980050 | + | 0.198753i | \(0.0636893\pi\) | |||||||
\(380\) | −96.5123 | + | 153.598i | −0.253980 | + | 0.404207i | ||||
\(381\) | −187.341 | − | 42.7593i | −0.491708 | − | 0.112229i | ||||
\(382\) | −135.523 | + | 108.076i | −0.354772 | + | 0.282921i | ||||
\(383\) | 21.1423 | + | 16.8604i | 0.0552018 | + | 0.0440220i | 0.650702 | − | 0.759333i | \(-0.274475\pi\) |
−0.595500 | + | 0.803355i | \(0.703046\pi\) | |||||||
\(384\) | 1.82268 | + | 7.98570i | 0.00474657 | + | 0.0207961i | ||||
\(385\) | 259.000 | − | 740.180i | 0.672728 | − | 1.92255i | ||||
\(386\) | 144.661 | + | 300.391i | 0.374768 | + | 0.778214i | ||||
\(387\) | 142.808 | + | 227.277i | 0.369012 | + | 0.587280i | ||||
\(388\) | 66.2780 | + | 189.412i | 0.170820 | + | 0.488175i | ||||
\(389\) | −148.329 | + | 148.329i | −0.381307 | + | 0.381307i | −0.871573 | − | 0.490266i | \(-0.836900\pi\) |
0.490266 | + | 0.871573i | \(0.336900\pi\) | |||||||
\(390\) | 247.365 | − | 513.658i | 0.634268 | − | 1.31707i | ||||
\(391\) | −74.0469 | + | 8.34308i | −0.189378 | + | 0.0213378i | ||||
\(392\) | 7.53364 | + | 66.8629i | 0.0192185 | + | 0.170569i | ||||
\(393\) | −311.117 | − | 149.826i | −0.791645 | − | 0.381236i | ||||
\(394\) | 269.684 | + | 269.684i | 0.684477 | + | 0.684477i | ||||
\(395\) | −627.149 | + | 219.449i | −1.58772 | + | 0.555567i | ||||
\(396\) | −146.370 | + | 91.9704i | −0.369621 | + | 0.232248i | ||||
\(397\) | 625.449 | − | 301.201i | 1.57544 | − | 0.758692i | 0.577121 | − | 0.816659i | \(-0.304176\pi\) |
0.998318 | + | 0.0579674i | \(0.0184619\pi\) | |||||||
\(398\) | 444.963 | + | 155.699i | 1.11800 | + | 0.391204i | ||||
\(399\) | −350.800 | + | 80.0678i | −0.879198 | + | 0.200671i | ||||
\(400\) | −129.997 | + | 163.011i | −0.324992 | + | 0.407527i | ||||
\(401\) | −475.354 | − | 596.075i | −1.18542 | − | 1.48647i | −0.835324 | − | 0.549758i | \(-0.814720\pi\) |
−0.350097 | − | 0.936713i | \(-0.613851\pi\) | |||||||
\(402\) | 125.390 | − | 549.369i | 0.311915 | − | 1.36659i | ||||
\(403\) | −126.616 | − | 79.5580i | −0.314183 | − | 0.197414i | ||||
\(404\) | 74.6882 | + | 8.41534i | 0.184872 | + | 0.0208300i | ||||
\(405\) | 739.163i | 1.82509i | ||||||||
\(406\) | 209.909 | − | 190.876i | 0.517017 | − | 0.470138i | ||||
\(407\) | −131.488 | −0.323065 | ||||||||
\(408\) | −62.0775 | + | 550.953i | −0.152151 | + | 1.35037i | ||||
\(409\) | 82.4668 | − | 131.245i | 0.201630 | − | 0.320893i | −0.730569 | − | 0.682839i | \(-0.760745\pi\) |
0.932199 | + | 0.361947i | \(0.117888\pi\) | |||||||
\(410\) | −172.716 | − | 39.4213i | −0.421259 | − | 0.0961496i | ||||
\(411\) | 153.039 | − | 122.045i | 0.372358 | − | 0.296946i | ||||
\(412\) | −85.8164 | − | 68.4363i | −0.208292 | − | 0.166107i | ||||
\(413\) | 102.944 | + | 451.029i | 0.249260 | + | 1.09208i | ||||
\(414\) | −14.6417 | + | 41.8436i | −0.0353664 | + | 0.101071i | ||||
\(415\) | −212.876 | − | 442.041i | −0.512953 | − | 1.06516i | ||||
\(416\) | −166.065 | − | 264.292i | −0.399196 | − | 0.635316i | ||||
\(417\) | −6.86480 | − | 19.6185i | −0.0164623 | − | 0.0470467i | ||||
\(418\) | 248.611 | − | 248.611i | 0.594763 | − | 0.594763i | ||||
\(419\) | 149.598 | − | 310.643i | 0.357035 | − | 0.741390i | −0.642659 | − | 0.766153i | \(-0.722169\pi\) |
0.999693 | + | 0.0247624i | \(0.00788291\pi\) | |||||||
\(420\) | 317.621 | − | 35.7873i | 0.756240 | − | 0.0852078i | ||||
\(421\) | −66.7338 | − | 592.279i | −0.158513 | − | 1.40684i | −0.781158 | − | 0.624334i | \(-0.785371\pi\) |
0.622645 | − | 0.782504i | \(-0.286058\pi\) | |||||||
\(422\) | 62.5963 | + | 30.1448i | 0.148332 | + | 0.0714331i | ||||
\(423\) | 134.824 | + | 134.824i | 0.318734 | + | 0.318734i | ||||
\(424\) | 329.163 | − | 115.179i | 0.776328 | − | 0.271649i | ||||
\(425\) | 445.775 | − | 280.099i | 1.04888 | − | 0.659057i | ||||
\(426\) | 171.650 | − | 82.6621i | 0.402934 | − | 0.194043i | ||||
\(427\) | 410.307 | + | 143.572i | 0.960905 | + | 0.336235i | ||||
\(428\) | 133.782 | − | 30.5349i | 0.312575 | − | 0.0713433i | ||||
\(429\) | 497.944 | − | 624.402i | 1.16071 | − | 1.45548i | ||||
\(430\) | 302.364 | + | 379.152i | 0.703171 | + | 0.881749i | ||||
\(431\) | −61.6978 | + | 270.316i | −0.143150 | + | 0.627183i | 0.851542 | + | 0.524287i | \(0.175668\pi\) |
−0.994692 | + | 0.102896i | \(0.967189\pi\) | |||||||
\(432\) | −56.3049 | − | 35.3787i | −0.130335 | − | 0.0818952i | ||||
\(433\) | −318.885 | − | 35.9297i | −0.736454 | − | 0.0829785i | −0.264233 | − | 0.964459i | \(-0.585119\pi\) |
−0.472221 | + | 0.881480i | \(0.656547\pi\) | |||||||
\(434\) | 115.993i | 0.267266i | ||||||||
\(435\) | 578.776 | + | 636.487i | 1.33052 | + | 1.46319i | ||||
\(436\) | −121.659 | −0.279035 | ||||||||
\(437\) | −7.29647 | + | 64.7580i | −0.0166967 | + | 0.148188i | ||||
\(438\) | −424.437 | + | 675.488i | −0.969035 | + | 1.54221i | ||||
\(439\) | −589.295 | − | 134.503i | −1.34236 | − | 0.306384i | −0.509785 | − | 0.860302i | \(-0.670275\pi\) |
−0.832572 | + | 0.553917i | \(0.813132\pi\) | |||||||
\(440\) | −826.200 | + | 658.873i | −1.87773 | + | 1.49744i | ||||
\(441\) | −38.7897 | − | 30.9338i | −0.0879586 | − | 0.0701446i | ||||
\(442\) | −69.8786 | − | 306.158i | −0.158096 | − | 0.692665i | ||||
\(443\) | −286.372 | + | 818.404i | −0.646438 | + | 1.84741i | −0.129098 | + | 0.991632i | \(0.541208\pi\) |
−0.517339 | + | 0.855781i | \(0.673077\pi\) | |||||||
\(444\) | −23.2535 | − | 48.2863i | −0.0523726 | − | 0.108753i | ||||
\(445\) | 388.744 | + | 618.683i | 0.873582 | + | 1.39030i | ||||
\(446\) | −70.3733 | − | 201.115i | −0.157788 | − | 0.450931i | ||||
\(447\) | 345.245 | − | 345.245i | 0.772359 | − | 0.772359i | ||||
\(448\) | −177.160 | + | 367.877i | −0.395447 | + | 0.821154i | ||||
\(449\) | 583.687 | − | 65.7657i | 1.29997 | − | 0.146472i | 0.565295 | − | 0.824889i | \(-0.308762\pi\) |
0.734677 | + | 0.678417i | \(0.237334\pi\) | |||||||
\(450\) | −35.0686 | − | 311.243i | −0.0779303 | − | 0.691650i | ||||
\(451\) | −223.593 | − | 107.677i | −0.495771 | − | 0.238751i | ||||
\(452\) | −45.0035 | − | 45.0035i | −0.0995652 | − | 0.0995652i | ||||
\(453\) | 552.315 | − | 193.263i | 1.21924 | − | 0.426630i | ||||
\(454\) | −38.6075 | + | 24.2587i | −0.0850384 | + | 0.0534332i | ||||
\(455\) | −551.891 | + | 265.777i | −1.21295 | + | 0.584125i | ||||
\(456\) | 457.676 | + | 160.148i | 1.00368 | + | 0.351202i | ||||
\(457\) | 30.9403 | − | 7.06192i | 0.0677030 | − | 0.0154528i | −0.188535 | − | 0.982066i | \(-0.560374\pi\) |
0.256238 | + | 0.966614i | \(0.417517\pi\) | |||||||
\(458\) | 281.830 | − | 353.403i | 0.615349 | − | 0.771623i | ||||
\(459\) | 104.690 | + | 131.277i | 0.228082 | + | 0.286006i | ||||
\(460\) | 12.8815 | − | 56.4373i | 0.0280032 | − | 0.122690i | ||||
\(461\) | −26.3626 | − | 16.5647i | −0.0571858 | − | 0.0359322i | 0.503136 | − | 0.864207i | \(-0.332180\pi\) |
−0.560322 | + | 0.828275i | \(0.689322\pi\) | |||||||
\(462\) | −615.601 | − | 69.3615i | −1.33247 | − | 0.150133i | ||||
\(463\) | − | 492.788i | − | 1.06434i | −0.846638 | − | 0.532169i | \(-0.821377\pi\) | ||
0.846638 | − | 0.532169i | \(-0.178623\pi\) | |||||||
\(464\) | −184.735 | + | 33.0336i | −0.398135 | + | 0.0711932i | ||||
\(465\) | −351.716 | −0.756378 | ||||||||
\(466\) | −17.5445 | + | 155.712i | −0.0376492 | + | 0.334146i | ||||
\(467\) | 70.6660 | − | 112.464i | 0.151319 | − | 0.240823i | −0.762459 | − | 0.647036i | \(-0.776008\pi\) |
0.913778 | + | 0.406214i | \(0.133151\pi\) | |||||||
\(468\) | 131.646 | + | 30.0473i | 0.281295 | + | 0.0642037i | ||||
\(469\) | −473.352 | + | 377.486i | −1.00928 | + | 0.804874i | ||||
\(470\) | 269.329 | + | 214.783i | 0.573040 | + | 0.456984i | ||||
\(471\) | −138.290 | − | 605.888i | −0.293609 | − | 1.28639i | ||||
\(472\) | 205.904 | − | 588.441i | 0.436238 | − | 1.24670i | ||||
\(473\) | 294.755 | + | 612.064i | 0.623160 | + | 1.29401i | ||||
\(474\) | 279.261 | + | 444.441i | 0.589157 | + | 0.937638i | ||||
\(475\) | −152.069 | − | 434.589i | −0.320146 | − | 0.914924i | ||||
\(476\) | 124.492 | − | 124.492i | 0.261538 | − | 0.261538i | ||||
\(477\) | −111.569 | + | 231.676i | −0.233898 | + | 0.485694i | ||||
\(478\) | −560.770 | + | 63.1836i | −1.17316 | + | 0.132183i | ||||
\(479\) | 20.8876 | + | 185.382i | 0.0436066 | + | 0.387020i | 0.996492 | + | 0.0836888i | \(0.0266702\pi\) |
−0.952885 | + | 0.303331i | \(0.901901\pi\) | |||||||
\(480\) | −661.450 | − | 318.537i | −1.37802 | − | 0.663619i | ||||
\(481\) | 72.6264 | + | 72.6264i | 0.150990 | + | 0.150990i | ||||
\(482\) | 76.9820 | − | 26.9372i | 0.159714 | − | 0.0558863i | ||||
\(483\) | 97.2250 | − | 61.0905i | 0.201294 | − | 0.126481i | ||||
\(484\) | −211.231 | + | 101.724i | −0.436429 | + | 0.210173i | ||||
\(485\) | −853.784 | − | 298.752i | −1.76038 | − | 0.615983i | ||||
\(486\) | 431.899 | − | 98.5782i | 0.888682 | − | 0.202836i | ||||
\(487\) | 348.899 | − | 437.506i | 0.716426 | − | 0.898369i | −0.281704 | − | 0.959501i | \(-0.590900\pi\) |
0.998130 | + | 0.0611319i | \(0.0194710\pi\) | |||||||
\(488\) | −365.235 | − | 457.990i | −0.748433 | − | 0.938505i | ||||
\(489\) | −100.070 | + | 438.436i | −0.204642 | + | 0.896597i | ||||
\(490\) | −75.8982 | − | 47.6900i | −0.154894 | − | 0.0973266i | ||||
\(491\) | 244.577 | + | 27.5572i | 0.498121 | + | 0.0561247i | 0.357451 | − | 0.933932i | \(-0.383646\pi\) |
0.140670 | + | 0.990057i | \(0.455074\pi\) | |||||||
\(492\) | − | 101.153i | − | 0.205595i | ||||||
\(493\) | 467.837 | + | 75.3326i | 0.948960 | + | 0.152805i | ||||
\(494\) | −274.637 | −0.555946 | ||||||||
\(495\) | 87.2431 | − | 774.304i | 0.176249 | − | 1.56425i | ||||
\(496\) | 40.8195 | − | 64.9639i | 0.0822974 | − | 0.130976i | ||||
\(497\) | −199.565 | − | 45.5495i | −0.401540 | − | 0.0916489i | ||||
\(498\) | −303.030 | + | 241.658i | −0.608493 | + | 0.485257i | ||||
\(499\) | −414.297 | − | 330.391i | −0.830254 | − | 0.662106i | 0.113213 | − | 0.993571i | \(-0.463886\pi\) |
−0.943468 | + | 0.331465i | \(0.892457\pi\) | |||||||
\(500\) | 20.3930 | + | 89.3475i | 0.0407859 | + | 0.178695i | ||||
\(501\) | −52.8356 | + | 150.995i | −0.105460 | + | 0.301388i | ||||
\(502\) | 241.376 | + | 501.221i | 0.480828 | + | 0.998449i | ||||
\(503\) | −337.253 | − | 536.736i | −0.670484 | − | 1.06707i | −0.992724 | − | 0.120411i | \(-0.961579\pi\) |
0.322240 | − | 0.946658i | \(-0.395564\pi\) | |||||||
\(504\) | −117.052 | − | 334.515i | −0.232246 | − | 0.663721i | ||||
\(505\) | −239.562 | + | 239.562i | −0.474379 | + | 0.474379i | ||||
\(506\) | −48.6808 | + | 101.087i | −0.0962070 | + | 0.199776i | ||||
\(507\) | 38.6786 | − | 4.35803i | 0.0762892 | − | 0.00859573i | ||||
\(508\) | −9.20654 | − | 81.7103i | −0.0181231 | − | 0.160847i | ||||
\(509\) | 480.177 | + | 231.241i | 0.943374 | + | 0.454305i | 0.841358 | − | 0.540478i | \(-0.181756\pi\) |
0.102016 | + | 0.994783i | \(0.467471\pi\) | |||||||
\(510\) | −522.280 | − | 522.280i | −1.02408 | − | 1.02408i | ||||
\(511\) | 809.047 | − | 283.098i | 1.58326 | − | 0.554007i | ||||
\(512\) | 325.234 | − | 204.358i | 0.635223 | − | 0.399137i | ||||
\(513\) | 132.303 | − | 63.7140i | 0.257901 | − | 0.124199i | ||||
\(514\) | −613.062 | − | 214.520i | −1.19273 | − | 0.417353i | ||||
\(515\) | 482.359 | − | 110.095i | 0.936619 | − | 0.213777i | ||||
\(516\) | −172.642 | + | 216.486i | −0.334577 | + | 0.419547i | ||||
\(517\) | 300.875 | + | 377.285i | 0.581964 | + | 0.729759i | ||||
\(518\) | 17.7283 | − | 77.6728i | 0.0342245 | − | 0.149947i | ||||
\(519\) | 308.287 | + | 193.710i | 0.594002 | + | 0.373236i | ||||
\(520\) | 820.271 | + | 92.4223i | 1.57744 | + | 0.177735i | ||||
\(521\) | 491.340i | 0.943071i | 0.881847 | + | 0.471535i | \(0.156300\pi\) | ||||
−0.881847 | + | 0.471535i | \(0.843700\pi\) | |||||||
\(522\) | 161.142 | − | 231.321i | 0.308701 | − | 0.443143i | ||||
\(523\) | −633.523 | −1.21133 | −0.605663 | − | 0.795721i | \(-0.707092\pi\) | ||||
−0.605663 | + | 0.795721i | \(0.707092\pi\) | |||||||
\(524\) | 16.5444 | − | 146.835i | 0.0315732 | − | 0.280220i | ||||
\(525\) | −431.620 | + | 686.920i | −0.822134 | + | 1.30842i | ||||
\(526\) | 26.4638 | + | 6.04020i | 0.0503115 | + | 0.0114833i | ||||
\(527\) | −151.465 | + | 120.790i | −0.287411 | + | 0.229202i | ||||
\(528\) | 320.368 | + | 255.485i | 0.606757 | + | 0.483873i | ||||
\(529\) | 113.086 | + | 495.462i | 0.213773 | + | 0.936601i | ||||
\(530\) | −153.440 | + | 438.507i | −0.289510 | + | 0.827371i | ||||
\(531\) | 199.451 | + | 414.165i | 0.375614 | + | 0.779972i | ||||
\(532\) | −81.9184 | − | 130.372i | −0.153982 | − | 0.245061i | ||||
\(533\) | 64.0256 | + | 182.975i | 0.120123 | + | 0.343292i | ||||
\(534\) | 408.160 | − | 408.160i | 0.764344 | − | 0.764344i | ||||
\(535\) | −268.374 | + | 557.284i | −0.501634 | + | 1.04165i | ||||
\(536\) | 810.746 | − | 91.3492i | 1.51259 | − | 0.170428i | ||||
\(537\) | 145.803 | + | 1294.04i | 0.271515 | + | 2.40976i | ||||
\(538\) | −289.700 | − | 139.512i | −0.538476 | − | 0.259316i | ||||
\(539\) | −88.7896 | − | 88.7896i | −0.164730 | − | 0.164730i | ||||
\(540\) | −123.123 | + | 43.0828i | −0.228006 | + | 0.0797829i | ||||
\(541\) | −450.657 | + | 283.166i | −0.833007 | + | 0.523413i | −0.879718 | − | 0.475496i | \(-0.842269\pi\) |
0.0467114 | + | 0.998908i | \(0.485126\pi\) | |||||||
\(542\) | −434.765 | + | 209.372i | −0.802149 | + | 0.386294i | ||||
\(543\) | −88.6054 | − | 31.0044i | −0.163178 | − | 0.0570983i | ||||
\(544\) | −394.247 | + | 89.9843i | −0.724719 | + | 0.165412i | ||||
\(545\) | 341.913 | − | 428.745i | 0.627362 | − | 0.786688i | ||||
\(546\) | 301.712 | + | 378.335i | 0.552586 | + | 0.692921i | ||||
\(547\) | 93.5855 | − | 410.025i | 0.171089 | − | 0.749588i | −0.814463 | − | 0.580215i | \(-0.802969\pi\) |
0.985552 | − | 0.169373i | \(-0.0541743\pi\) | |||||||
\(548\) | 70.9231 | + | 44.5640i | 0.129422 | + | 0.0813211i | ||||
\(549\) | 429.223 | + | 48.3618i | 0.781827 | + | 0.0880907i | ||||
\(550\) | − | 792.705i | − | 1.44128i | ||||||
\(551\) | 155.275 | − | 384.230i | 0.281805 | − | 0.697333i | ||||
\(552\) | −154.735 | −0.280317 | ||||||||
\(553\) | 63.1439 | − | 560.418i | 0.114184 | − | 1.01341i | ||||
\(554\) | 437.732 | − | 696.646i | 0.790130 | − | 1.25748i | ||||
\(555\) | 235.520 | + | 53.7559i | 0.424360 | + | 0.0968574i | ||||
\(556\) | 6.95371 | − | 5.54540i | 0.0125067 | − | 0.00997374i | ||||
\(557\) | 436.339 | + | 347.969i | 0.783374 | + | 0.624720i | 0.931289 | − | 0.364280i | \(-0.118685\pi\) |
−0.147915 | + | 0.989000i | \(0.547256\pi\) | |||||||
\(558\) | 25.6470 | + | 112.367i | 0.0459623 | + | 0.201374i | ||||
\(559\) | 175.264 | − | 500.876i | 0.313531 | − | 0.896022i | ||||
\(560\) | −136.364 | − | 283.164i | −0.243508 | − | 0.505650i | ||||
\(561\) | −550.483 | − | 876.088i | −0.981253 | − | 1.56165i | ||||
\(562\) | −99.5534 | − | 284.507i | −0.177141 | − | 0.506241i | ||||
\(563\) | −624.348 | + | 624.348i | −1.10897 | + | 1.10897i | −0.115679 | + | 0.993287i | \(0.536904\pi\) |
−0.993287 | + | 0.115679i | \(0.963096\pi\) | |||||||
\(564\) | −85.3414 | + | 177.213i | −0.151315 | + | 0.314208i | ||||
\(565\) | 285.077 | − | 32.1205i | 0.504561 | − | 0.0568504i | ||||
\(566\) | 27.1459 | + | 240.927i | 0.0479610 | + | 0.425666i | ||||
\(567\) | −565.261 | − | 272.215i | −0.996933 | − | 0.480098i | ||||
\(568\) | 195.052 | + | 195.052i | 0.343402 | + | 0.343402i | ||||
\(569\) | 994.025 | − | 347.824i | 1.74697 | − | 0.611290i | 0.748323 | − | 0.663335i | \(-0.230859\pi\) |
0.998645 | + | 0.0520443i | \(0.0165737\pi\) | |||||||
\(570\) | −546.950 | + | 343.671i | −0.959561 | + | 0.602932i | ||||
\(571\) | 383.661 | − | 184.761i | 0.671911 | − | 0.323575i | −0.0666361 | − | 0.997777i | \(-0.521227\pi\) |
0.738547 | + | 0.674202i | \(0.235512\pi\) | |||||||
\(572\) | 322.572 | + | 112.873i | 0.563937 | + | 0.197330i | ||||
\(573\) | 434.940 | − | 99.2722i | 0.759058 | − | 0.173250i | ||||
\(574\) | 93.7538 | − | 117.563i | 0.163334 | − | 0.204814i | ||||
\(575\) | 91.6092 | + | 114.874i | 0.159320 | + | 0.199781i | ||||
\(576\) | −90.2809 | + | 395.546i | −0.156738 | + | 0.686713i | ||||
\(577\) | 174.128 | + | 109.412i | 0.301782 | + | 0.189622i | 0.674407 | − | 0.738360i | \(-0.264399\pi\) |
−0.372625 | + | 0.927982i | \(0.621542\pi\) | |||||||
\(578\) | 33.3126 | + | 3.75343i | 0.0576343 | + | 0.00649382i | ||||
\(579\) | − | 858.093i | − | 1.48203i | ||||||
\(580\) | −175.279 | + | 323.724i | −0.302205 | + | 0.558144i | ||||
\(581\) | 416.439 | 0.716762 | ||||||||
\(582\) | −80.0072 | + | 710.084i | −0.137469 | + | 1.22007i | ||||
\(583\) | −346.245 | + | 551.045i | −0.593901 | + | 0.945189i | ||||
\(584\) | −1126.11 | − | 257.027i | −1.92827 | − | 0.440115i | ||||
\(585\) | −475.870 | + | 379.494i | −0.813454 | + | 0.648708i | ||||
\(586\) | 294.253 | + | 234.659i | 0.502138 | + | 0.400442i | ||||
\(587\) | −110.905 | − | 485.906i | −0.188935 | − | 0.827778i | −0.977179 | − | 0.212416i | \(-0.931867\pi\) |
0.788244 | − | 0.615362i | \(-0.210990\pi\) | |||||||
\(588\) | 16.9039 | − | 48.3086i | 0.0287482 | − | 0.0821575i | ||||
\(589\) | 73.5124 | + | 152.650i | 0.124809 | + | 0.259168i | ||||
\(590\) | 441.863 | + | 703.221i | 0.748920 | + | 1.19190i | ||||
\(591\) | −324.197 | − | 926.501i | −0.548556 | − | 1.56768i | ||||
\(592\) | −37.2631 | + | 37.2631i | −0.0629444 | + | 0.0629444i | ||||
\(593\) | 27.9471 | − | 58.0328i | 0.0471283 | − | 0.0978630i | −0.876075 | − | 0.482175i | \(-0.839847\pi\) |
0.923203 | + | 0.384312i | \(0.125561\pi\) | |||||||
\(594\) | 251.231 | − | 28.3069i | 0.422948 | − | 0.0476548i | ||||
\(595\) | 88.8543 | + | 788.604i | 0.149335 | + | 1.32538i | ||||
\(596\) | 188.238 | + | 90.6509i | 0.315836 | + | 0.152099i | ||||
\(597\) | −857.922 | − | 857.922i | −1.43706 | − | 1.43706i | ||||
\(598\) | 82.7231 | − | 28.9461i | 0.138333 | − | 0.0484048i | ||||
\(599\) | −693.663 | + | 435.857i | −1.15803 | + | 0.727641i | −0.967209 | − | 0.253983i | \(-0.918259\pi\) |
−0.190826 | + | 0.981624i | \(0.561117\pi\) | |||||||
\(600\) | 984.979 | − | 474.341i | 1.64163 | − | 0.790568i | ||||
\(601\) | −311.390 | − | 108.960i | −0.518119 | − | 0.181298i | 0.0585361 | − | 0.998285i | \(-0.481357\pi\) |
−0.576655 | + | 0.816988i | \(0.695642\pi\) | |||||||
\(602\) | −401.302 | + | 91.5946i | −0.666615 | + | 0.152150i | ||||
\(603\) | −375.088 | + | 470.345i | −0.622036 | + | 0.780008i | ||||
\(604\) | 156.118 | + | 195.766i | 0.258474 | + | 0.324116i | ||||
\(605\) | 235.158 | − | 1030.30i | 0.388692 | − | 1.70297i | ||||
\(606\) | 226.617 | + | 142.393i | 0.373956 | + | 0.234972i | ||||
\(607\) | −344.589 | − | 38.8258i | −0.567692 | − | 0.0639635i | −0.176546 | − | 0.984292i | \(-0.556492\pi\) |
−0.391145 | + | 0.920329i | \(0.627921\pi\) | |||||||
\(608\) | 353.657i | 0.581673i | ||||||||
\(609\) | −699.890 | + | 208.206i | −1.14924 | + | 0.341881i | ||||
\(610\) | 780.384 | 1.27932 | ||||||||
\(611\) | 42.2048 | − | 374.578i | 0.0690750 | − | 0.613057i | ||||
\(612\) | 93.0737 | − | 148.126i | 0.152081 | − | 0.242036i | ||||
\(613\) | −869.396 | − | 198.434i | −1.41826 | − | 0.323710i | −0.556428 | − | 0.830896i | \(-0.687829\pi\) |
−0.861837 | + | 0.507186i | \(0.830686\pi\) | |||||||
\(614\) | −380.909 | + | 303.764i | −0.620372 | + | 0.494730i | ||||
\(615\) | 356.477 | + | 284.281i | 0.579637 | + | 0.462245i | ||||
\(616\) | −199.591 | − | 874.467i | −0.324012 | − | 1.41959i | ||||
\(617\) | 130.369 | − | 372.572i | 0.211294 | − | 0.603845i | −0.788645 | − | 0.614849i | \(-0.789217\pi\) |
0.999939 | + | 0.0110041i | \(0.00350277\pi\) | |||||||
\(618\) | −169.586 | − | 352.150i | −0.274411 | − | 0.569821i | ||||
\(619\) | 547.850 | + | 871.898i | 0.885057 | + | 1.40856i | 0.912562 | + | 0.408938i | \(0.134101\pi\) |
−0.0275057 | + | 0.999622i | \(0.508756\pi\) | |||||||
\(620\) | −49.7083 | − | 142.058i | −0.0801748 | − | 0.229126i | ||||
\(621\) | −33.1356 | + | 33.1356i | −0.0533585 | + | 0.0533585i | ||||
\(622\) | −50.6918 | + | 105.263i | −0.0814980 | + | 0.169232i | ||||
\(623\) | −616.290 | + | 69.4393i | −0.989230 | + | 0.111459i | ||||
\(624\) | −35.8377 | − | 318.069i | −0.0574323 | − | 0.509725i | ||||
\(625\) | 353.533 | + | 170.252i | 0.565652 | + | 0.272404i | ||||
\(626\) | −595.106 | − | 595.106i | −0.950649 | − | 0.950649i | ||||
\(627\) | −854.104 | + | 298.864i | −1.36221 | + | 0.476657i | ||||
\(628\) | 225.174 | − | 141.486i | 0.358558 | − | 0.225297i | ||||
\(629\) | 119.887 | − | 57.7347i | 0.190600 | − | 0.0917881i | ||||
\(630\) | 445.637 | + | 155.935i | 0.707360 | + | 0.247516i | ||||
\(631\) | −75.0733 | + | 17.1350i | −0.118975 | + | 0.0271553i | −0.281594 | − | 0.959534i | \(-0.590863\pi\) |
0.162619 | + | 0.986689i | \(0.448006\pi\) | |||||||
\(632\) | −473.842 | + | 594.179i | −0.749750 | + | 0.940157i | ||||
\(633\) | −111.487 | − | 139.801i | −0.176125 | − | 0.220854i | ||||
\(634\) | −2.47907 | + | 10.8615i | −0.00391021 | + | 0.0171317i | ||||
\(635\) | 313.833 | + | 197.194i | 0.494226 | + | 0.310542i | ||||
\(636\) | −263.594 | − | 29.6999i | −0.414456 | − | 0.0466979i | ||||
\(637\) | 98.0848i | 0.153979i | ||||||||
\(638\) | 470.817 | − | 536.103i | 0.737958 | − | 0.840287i | ||||
\(639\) | −203.397 | −0.318305 | ||||||||
\(640\) | 1.76896 | − | 15.7000i | 0.00276400 | − | 0.0245312i | ||||
\(641\) | −57.7855 | + | 91.9651i | −0.0901490 | + | 0.143471i | −0.888754 | − | 0.458384i | \(-0.848429\pi\) |
0.798605 | + | 0.601855i | \(0.205571\pi\) | |||||||
\(642\) | 476.386 | + | 108.732i | 0.742034 | + | 0.169364i | ||||
\(643\) | 353.051 | − | 281.549i | 0.549069 | − | 0.437868i | −0.309253 | − | 0.950980i | \(-0.600079\pi\) |
0.858322 | + | 0.513112i | \(0.171508\pi\) | |||||||
\(644\) | 38.4155 | + | 30.6353i | 0.0596513 | + | 0.0475703i | ||||
\(645\) | −277.734 | − | 1216.83i | −0.430595 | − | 1.88656i | ||||
\(646\) | −117.515 | + | 335.840i | −0.181913 | + | 0.519876i | ||||
\(647\) | −353.316 | − | 733.668i | −0.546084 | − | 1.13395i | −0.973243 | − | 0.229778i | \(-0.926200\pi\) |
0.427160 | − | 0.904176i | \(-0.359514\pi\) | |||||||
\(648\) | 449.811 | + | 715.870i | 0.694153 | + | 1.10474i | ||||
\(649\) | 384.254 | + | 1098.13i | 0.592070 | + | 1.69204i | ||||
\(650\) | −437.846 | + | 437.846i | −0.673609 | + | 0.673609i | ||||
\(651\) | 129.528 | − | 268.968i | 0.198968 | − | 0.413161i | ||||
\(652\) | −191.228 | + | 21.5462i | −0.293294 | + | 0.0330463i | ||||
\(653\) | −41.8389 | − | 371.331i | −0.0640719 | − | 0.568653i | −0.984203 | − | 0.177043i | \(-0.943347\pi\) |
0.920131 | − | 0.391610i | \(-0.128082\pi\) | |||||||
\(654\) | −390.315 | − | 187.966i | −0.596811 | − | 0.287409i | ||||
\(655\) | 470.973 | + | 470.973i | 0.719043 | + | 0.719043i | ||||
\(656\) | −93.8804 | + | 32.8502i | −0.143110 | + | 0.0500765i | ||||
\(657\) | 721.156 | − | 453.132i | 1.09765 | − | 0.689699i | ||||
\(658\) | −263.438 | + | 126.865i | −0.400362 | + | 0.192804i | ||||
\(659\) | 874.680 | + | 306.064i | 1.32728 | + | 0.464436i | 0.898501 | − | 0.438971i | \(-0.144657\pi\) |
0.428782 | + | 0.903408i | \(0.358943\pi\) | |||||||
\(660\) | 783.657 | − | 178.865i | 1.18736 | − | 0.271007i | ||||
\(661\) | −560.439 | + | 702.769i | −0.847866 | + | 1.06319i | 0.149362 | + | 0.988783i | \(0.452278\pi\) |
−0.997228 | + | 0.0744073i | \(0.976293\pi\) | |||||||
\(662\) | −81.3904 | − | 102.060i | −0.122946 | − | 0.154170i | ||||
\(663\) | −179.846 | + | 787.958i | −0.271261 | + | 1.18847i | ||||
\(664\) | −475.167 | − | 298.567i | −0.715613 | − | 0.449650i | ||||
\(665\) | 689.676 | + | 77.7079i | 1.03711 | + | 0.116854i | ||||
\(666\) | − | 79.1641i | − | 0.118865i | ||||||
\(667\) | −6.27320 | + | 132.099i | −0.00940510 | + | 0.198050i | ||||
\(668\) | −68.4545 | −0.102477 | ||||||||
\(669\) | −61.3995 | + | 544.935i | −0.0917780 | + | 0.814552i | ||||
\(670\) | −578.265 | + | 920.304i | −0.863083 | + | 1.37359i | ||||
\(671\) | 1065.78 | + | 243.258i | 1.58835 | + | 0.362530i | ||||
\(672\) | 487.191 | − | 388.522i | 0.724986 | − | 0.578157i | ||||
\(673\) | −481.293 | − | 383.819i | −0.715146 | − | 0.570310i | 0.196887 | − | 0.980426i | \(-0.436917\pi\) |
−0.912033 | + | 0.410116i | \(0.865488\pi\) | |||||||
\(674\) | 114.646 | + | 502.296i | 0.170097 | + | 0.745246i | ||||
\(675\) | 109.350 | − | 312.505i | 0.162000 | − | 0.462970i | ||||
\(676\) | 7.22671 | + | 15.0064i | 0.0106904 | + | 0.0221988i | ||||
\(677\) | −421.002 | − | 670.021i | −0.621864 | − | 0.989692i | −0.998005 | − | 0.0631292i | \(-0.979892\pi\) |
0.376141 | − | 0.926562i | \(-0.377251\pi\) | |||||||
\(678\) | −74.8518 | − | 213.914i | −0.110401 | − | 0.315508i | ||||
\(679\) | 542.892 | − | 542.892i | 0.799546 | − | 0.799546i | ||||
\(680\) | 464.007 | − | 963.521i | 0.682363 | − | 1.41694i | ||||
\(681\) | 116.613 | − | 13.1391i | 0.171238 | − | 0.0192939i | ||||
\(682\) | 32.6602 | + | 289.867i | 0.0478888 | + | 0.425025i | ||||
\(683\) | 241.679 | + | 116.387i | 0.353849 | + | 0.170405i | 0.602361 | − | 0.798224i | \(-0.294227\pi\) |
−0.248511 | + | 0.968629i | \(0.579941\pi\) | |||||||
\(684\) | −108.183 | − | 108.183i | −0.158163 | − | 0.158163i | ||||
\(685\) | −356.373 | + | 124.700i | −0.520253 | + | 0.182044i | ||||
\(686\) | 470.328 | − | 295.527i | 0.685609 | − | 0.430797i | ||||
\(687\) | −1048.15 | + | 504.764i | −1.52570 | + | 0.734737i | ||||
\(688\) | 256.989 | + | 89.9243i | 0.373530 | + | 0.130704i | ||||
\(689\) | 495.612 | − | 113.120i | 0.719321 | − | 0.164180i | ||||
\(690\) | 128.524 | − | 161.164i | 0.186266 | − | 0.233571i | ||||
\(691\) | 10.6882 | + | 13.4026i | 0.0154677 | + | 0.0193959i | 0.789505 | − | 0.613744i | \(-0.210337\pi\) |
−0.774037 | + | 0.633140i | \(0.781766\pi\) | |||||||
\(692\) | −34.6689 | + | 151.895i | −0.0500996 | + | 0.219501i | ||||
\(693\) | 560.005 | + | 351.874i | 0.808088 | + | 0.507755i | ||||
\(694\) | −148.868 | − | 16.7734i | −0.214507 | − | 0.0241691i | ||||
\(695\) | 40.0908i | 0.0576845i | ||||||||
\(696\) | 947.866 | + | 264.221i | 1.36188 | + | 0.379628i | ||||
\(697\) | 251.146 | 0.360325 | ||||||||
\(698\) | 91.2241 | − | 809.636i | 0.130693 | − | 1.15994i | ||||
\(699\) | 214.564 | − | 341.476i | 0.306958 | − | 0.488521i | ||||
\(700\) | −338.449 | − | 77.2488i | −0.483498 | − | 0.110355i | ||||
\(701\) | −554.998 | + | 442.596i | −0.791723 | + | 0.631378i | −0.933523 | − | 0.358517i | \(-0.883282\pi\) |
0.141800 | + | 0.989895i | \(0.454711\pi\) | |||||||
\(702\) | −154.401 | − | 123.131i | −0.219945 | − | 0.175400i | ||||
\(703\) | −25.8953 | − | 113.455i | −0.0368354 | − | 0.161387i | ||||
\(704\) | −339.140 | + | 969.207i | −0.481733 | + | 1.37672i | ||||
\(705\) | −384.681 | − | 798.798i | −0.545647 | − | 1.13305i | ||||
\(706\) | 272.842 | + | 434.225i | 0.386461 | + | 0.615050i | ||||
\(707\) | −94.9756 | − | 271.425i | −0.134336 | − | 0.383910i | ||||
\(708\) | −335.314 | + | 335.314i | −0.473607 | + | 0.473607i | ||||
\(709\) | 397.216 | − | 824.828i | 0.560249 | − | 1.16337i | −0.407908 | − | 0.913023i | \(-0.633742\pi\) |
0.968157 | − | 0.250345i | \(-0.0805442\pi\) | |||||||
\(710\) | −365.167 | + | 41.1444i | −0.514320 | + | 0.0579499i | ||||
\(711\) | −62.7427 | − | 556.857i | −0.0882458 | − | 0.783203i | ||||
\(712\) | 752.987 | + | 362.620i | 1.05757 | + | 0.509297i | ||||
\(713\) | −38.2315 | − | 38.2315i | −0.0536206 | − | 0.0536206i | ||||
\(714\) | 591.747 | − | 207.061i | 0.828777 | − | 0.290002i | ||||
\(715\) | −1304.34 | + | 819.571i | −1.82425 | + | 1.14625i | ||||
\(716\) | −502.058 | + | 241.778i | −0.701198 | + | 0.337679i | ||||
\(717\) | 1370.88 | + | 479.692i | 1.91197 | + | 0.669026i | ||||
\(718\) | 365.838 | − | 83.5002i | 0.509524 | − | 0.116295i | ||||
\(719\) | −98.7345 | + | 123.809i | −0.137322 | + | 0.172196i | −0.845737 | − | 0.533600i | \(-0.820839\pi\) |
0.708415 | + | 0.705796i | \(0.249410\pi\) | |||||||
\(720\) | −194.710 | − | 244.159i | −0.270431 | − | 0.339110i | ||||
\(721\) | −93.4475 | + | 409.420i | −0.129608 | + | 0.567851i | ||||
\(722\) | −202.287 | − | 127.106i | −0.280176 | − | 0.176046i | ||||
\(723\) | −208.588 | − | 23.5022i | −0.288503 | − | 0.0325065i | ||||
\(724\) | − | 40.1697i | − | 0.0554830i | ||||||
\(725\) | −365.017 | − | 860.117i | −0.503472 | − | 1.18637i | ||||
\(726\) | −834.851 | −1.14993 | ||||||||
\(727\) | −85.2122 | + | 756.279i | −0.117211 | + | 1.04027i | 0.788107 | + | 0.615538i | \(0.211061\pi\) |
−0.905318 | + | 0.424735i | \(0.860367\pi\) | |||||||
\(728\) | −372.764 | + | 593.250i | −0.512038 | + | 0.814903i | ||||
\(729\) | −254.179 | − | 58.0147i | −0.348668 | − | 0.0795812i | ||||
\(730\) | 1203.06 | − | 959.406i | 1.64802 | − | 1.31426i | ||||
\(731\) | −537.501 | − | 428.643i | −0.735296 | − | 0.586379i | ||||
\(732\) | 99.1507 | + | 434.408i | 0.135452 | + | 0.593453i | ||||
\(733\) | 268.707 | − | 767.920i | 0.366585 | − | 1.04764i | −0.601901 | − | 0.798571i | \(-0.705590\pi\) |
0.968486 | − | 0.249069i | \(-0.0801245\pi\) | |||||||
\(734\) | 103.377 | + | 214.664i | 0.140840 | + | 0.292458i | ||||
\(735\) | 122.740 | + | 195.339i | 0.166993 | + | 0.265767i | ||||
\(736\) | −37.2745 | − | 106.525i | −0.0506448 | − | 0.144734i | ||||
\(737\) | −1076.62 | + | 1076.62i | −1.46081 | + | 1.46081i | ||||
\(738\) | 64.8283 | − | 134.617i | 0.0878432 | − | 0.182408i | ||||
\(739\) | 1094.54 | − | 123.325i | 1.48111 | − | 0.166881i | 0.665900 | − | 0.746041i | \(-0.268048\pi\) |
0.815214 | + | 0.579160i | \(0.196619\pi\) | |||||||
\(740\) | 11.5742 | + | 102.724i | 0.0156408 | + | 0.138816i | ||||
\(741\) | 636.835 | + | 306.684i | 0.859426 | + | 0.413878i | ||||
\(742\) | −278.831 | − | 278.831i | −0.375784 | − | 0.375784i | ||||
\(743\) | −786.175 | + | 275.095i | −1.05811 | + | 0.370248i | −0.802575 | − | 0.596552i | \(-0.796537\pi\) |
−0.255534 | + | 0.966800i | \(0.582251\pi\) | |||||||
\(744\) | −340.632 | + | 214.033i | −0.457839 | + | 0.287679i | ||||
\(745\) | −848.495 | + | 408.614i | −1.13892 | + | 0.548475i | ||||
\(746\) | −844.433 | − | 295.480i | −1.13195 | − | 0.396085i | ||||
\(747\) | 403.418 | − | 92.0776i | 0.540051 | − | 0.123263i | ||||
\(748\) | 276.053 | − | 346.159i | 0.369054 | − | 0.462780i | ||||
\(749\) | −327.337 | − | 410.468i | −0.437032 | − | 0.548021i | ||||
\(750\) | −72.6174 | + | 318.158i | −0.0968232 | + | 0.424210i | ||||
\(751\) | −163.686 | − | 102.851i | −0.217958 | − | 0.136952i | 0.418628 | − | 0.908158i | \(-0.362511\pi\) |
−0.636586 | + | 0.771206i | \(0.719654\pi\) | |||||||
\(752\) | 192.188 | + | 21.6544i | 0.255569 | + | 0.0287957i | ||||
\(753\) | − | 1431.78i | − | 1.90144i | ||||||
\(754\) | −556.166 | + | 36.0604i | −0.737621 | + | 0.0478254i | ||||
\(755\) | −1128.67 | −1.49492 | ||||||||
\(756\) | 12.3966 | − | 110.023i | 0.0163976 | − | 0.145533i | ||||
\(757\) | 39.3932 | − | 62.6939i | 0.0520386 | − | 0.0828189i | −0.819692 | − | 0.572805i | \(-0.805855\pi\) |
0.871730 | + | 0.489986i | \(0.162998\pi\) | |||||||
\(758\) | −98.8369 | − | 22.5589i | −0.130392 | − | 0.0297611i | ||||
\(759\) | 225.764 | − | 180.041i | 0.297449 | − | 0.237208i | ||||
\(760\) | −731.225 | − | 583.132i | −0.962138 | − | 0.767279i | ||||
\(761\) | 158.627 | + | 694.991i | 0.208446 | + | 0.913261i | 0.965602 | + | 0.260026i | \(0.0837312\pi\) |
−0.757156 | + | 0.653234i | \(0.773412\pi\) | |||||||
\(762\) | 96.7069 | − | 276.372i | 0.126912 | − | 0.362693i | ||||
\(763\) | 201.957 | + | 419.367i | 0.264687 | + | 0.549629i | ||||
\(764\) | 101.567 | + | 161.643i | 0.132941 | + | 0.211574i | ||||
\(765\) | 260.442 | + | 744.301i | 0.340447 | + | 0.972942i | ||||
\(766\) | −29.1367 | + | 29.1367i | −0.0380375 | + | 0.0380375i | ||||
\(767\) | 394.307 | − | 818.788i | 0.514090 | − | 1.06752i | ||||
\(768\) | −1003.73 | + | 113.093i | −1.30694 | + | 0.147257i | ||||
\(769\) | 54.5870 | + | 484.473i | 0.0709845 | + | 0.630004i | 0.977956 | + | 0.208812i | \(0.0669597\pi\) |
−0.906971 | + | 0.421192i | \(0.861612\pi\) | |||||||
\(770\) | 1076.58 | + | 518.453i | 1.39815 | + | 0.673316i | ||||
\(771\) | 1182.03 | + | 1182.03i | 1.53311 | + | 1.53311i | ||||
\(772\) | 346.585 | − | 121.275i | 0.448944 | − | 0.157092i | ||||
\(773\) | 929.493 | − | 584.039i | 1.20245 | − | 0.755549i | 0.226599 | − | 0.973988i | \(-0.427239\pi\) |
0.975851 | + | 0.218439i | \(0.0700965\pi\) | |||||||
\(774\) | −368.503 | + | 177.462i | −0.476102 | + | 0.229278i | ||||
\(775\) | 360.564 | + | 126.167i | 0.465244 | + | 0.162796i | ||||
\(776\) | −1008.68 | + | 230.225i | −1.29985 | + | 0.296682i | ||||
\(777\) | −127.845 | + | 160.312i | −0.164536 | + | 0.206322i | ||||
\(778\) | −199.290 | − | 249.902i | −0.256157 | − | 0.321211i | ||||
\(779\) | 48.8747 | − | 214.134i | 0.0627403 | − | 0.274883i | ||||
\(780\) | −531.643 | − | 334.054i | −0.681594 | − | 0.428274i | ||||
\(781\) | −511.539 | − | 57.6366i | −0.654979 | − | 0.0737984i | ||||
\(782\) | − | 113.544i | − | 0.145197i | ||||||
\(783\) | 259.561 | − | 146.398i | 0.331496 | − | 0.186971i | ||||
\(784\) | −50.3252 | −0.0641903 | ||||||||
\(785\) | −134.214 | + | 1191.18i | −0.170973 | + | 1.51743i | ||||
\(786\) | 279.942 | − | 445.525i | 0.356160 | − | 0.566826i | ||||
\(787\) | 600.614 | + | 137.086i | 0.763169 | + | 0.174188i | 0.586353 | − | 0.810056i | \(-0.300563\pi\) |
0.176816 | + | 0.984244i | \(0.443420\pi\) | |||||||
\(788\) | 328.396 | − | 261.887i | 0.416746 | − | 0.332344i | ||||
\(789\) | −54.6199 | − | 43.5579i | −0.0692268 | − | 0.0552065i | ||||
\(790\) | −225.289 | − | 987.056i | −0.285176 | − | 1.24944i | ||||
\(791\) | −80.4233 | + | 229.836i | −0.101673 | + | 0.290564i | ||||
\(792\) | −386.702 | − | 802.995i | −0.488260 | − | 1.01388i | ||||
\(793\) | −454.316 | − | 723.040i | −0.572908 | − | 0.911778i | ||||
\(794\) | 349.366 | + | 998.430i | 0.440007 | + | 1.25747i | ||||
\(795\) | 845.474 | − | 845.474i | 1.06349 | − | 1.06349i | ||||
\(796\) | 225.265 | − | 467.767i | 0.282996 | − | 0.587647i | ||||
\(797\) | −1072.38 | + | 120.828i | −1.34552 | + | 0.151604i | −0.755163 | − | 0.655537i | \(-0.772442\pi\) |
−0.590359 | + | 0.807141i | \(0.701014\pi\) | |||||||
\(798\) | −61.3881 | − | 544.835i | −0.0769275 | − | 0.682750i | ||||
\(799\) | −439.993 | − | 211.889i | −0.550680 | − | 0.265193i | ||||
\(800\) | 563.825 | + | 563.825i | 0.704781 | + | 0.704781i | ||||
\(801\) | −581.668 | + | 203.534i | −0.726177 | + | 0.254100i | ||||
\(802\) | 983.664 | − | 618.077i | 1.22651 | − | 0.770669i | ||||
\(803\) | 1942.09 | − | 935.263i | 2.41855 | − | 1.16471i | ||||
\(804\) | −585.766 | − | 204.968i | −0.728565 | − | 0.254936i | ||||
\(805\) | −215.927 | + | 49.2838i | −0.268232 | + | 0.0612222i | ||||
\(806\) | 142.067 | − | 178.146i | 0.176261 | − | 0.221025i | ||||
\(807\) | 515.971 | + | 647.008i | 0.639370 | + | 0.801744i | ||||
\(808\) | −86.2293 | + | 377.795i | −0.106719 | + | 0.467568i | ||||
\(809\) | −188.811 | − | 118.638i | −0.233388 | − | 0.146648i | 0.410261 | − | 0.911968i | \(-0.365438\pi\) |
−0.643649 | + | 0.765321i | \(0.722580\pi\) | |||||||
\(810\) | −1119.23 | − | 126.107i | −1.38176 | − | 0.155687i | ||||
\(811\) | 697.499i | 0.860048i | 0.902817 | + | 0.430024i | \(0.141495\pi\) | ||||
−0.902817 | + | 0.430024i | \(0.858505\pi\) | |||||||
\(812\) | −183.011 | − | 253.260i | −0.225383 | − | 0.311897i | ||||
\(813\) | 1241.94 | 1.52761 | ||||||||
\(814\) | 22.4327 | − | 199.096i | 0.0275586 | − | 0.244590i | ||||
\(815\) | 461.497 | − | 734.469i | 0.566254 | − | 0.901188i | ||||
\(816\) | −404.285 | − | 92.2753i | −0.495447 | − | 0.113083i | ||||
\(817\) | −470.074 | + | 374.871i | −0.575366 | + | 0.458839i | ||||
\(818\) | 184.659 | + | 147.261i | 0.225745 | + | 0.180026i | ||||
\(819\) | −114.960 | − | 503.671i | −0.140366 | − | 0.614983i | ||||
\(820\) | −64.4400 | + | 184.159i | −0.0785854 | + | 0.224584i | ||||
\(821\) | 505.781 | + | 1050.27i | 0.616055 | + | 1.27925i | 0.942554 | + | 0.334054i | \(0.108417\pi\) |
−0.326499 | + | 0.945198i | \(0.605869\pi\) | |||||||
\(822\) | 158.688 | + | 252.551i | 0.193051 | + | 0.307239i | ||||
\(823\) | −240.718 | − | 687.933i | −0.292489 | − | 0.835885i | −0.992554 | − | 0.121806i | \(-0.961131\pi\) |
0.700065 | − | 0.714079i | \(-0.253154\pi\) | |||||||
\(824\) | 400.161 | − | 400.161i | 0.485632 | − | 0.485632i | ||||
\(825\) | −885.203 | + | 1838.14i | −1.07297 | + | 2.22805i | ||||
\(826\) | −700.502 | + | 78.9276i | −0.848065 | + | 0.0955540i | ||||
\(827\) | 88.9721 | + | 789.649i | 0.107584 | + | 0.954836i | 0.925306 | + | 0.379222i | \(0.123808\pi\) |
−0.817722 | + | 0.575614i | \(0.804763\pi\) | |||||||
\(828\) | 43.9880 | + | 21.1835i | 0.0531256 | + | 0.0255840i | ||||
\(829\) | 18.8713 | + | 18.8713i | 0.0227640 | + | 0.0227640i | 0.718397 | − | 0.695633i | \(-0.244876\pi\) |
−0.695633 | + | 0.718397i | \(0.744876\pi\) | |||||||
\(830\) | 705.647 | − | 246.917i | 0.850178 | − | 0.297490i | ||||
\(831\) | −1792.96 | + | 1126.59i | −2.15759 | + | 1.35570i | ||||
\(832\) | 722.658 | − | 348.014i | 0.868579 | − | 0.418286i | ||||
\(833\) | 119.943 | + | 41.9698i | 0.143989 | + | 0.0503839i | ||||
\(834\) | 30.8771 | − | 7.04749i | 0.0370229 | − | 0.00845023i | ||||
\(835\) | 192.385 | − | 241.244i | 0.230402 | − | 0.288915i | ||||
\(836\) | −241.423 | − | 302.735i | −0.288783 | − | 0.362123i | ||||
\(837\) | −27.1104 | + | 118.778i | −0.0323899 | + | 0.141910i | ||||
\(838\) | 444.846 | + | 279.516i | 0.530843 | + | 0.333551i | ||||
\(839\) | 1184.37 | + | 133.446i | 1.41164 | + | 0.159054i | 0.784634 | − | 0.619959i | \(-0.212851\pi\) |
0.627008 | + | 0.779013i | \(0.284279\pi\) | |||||||
\(840\) | 1647.94i | 1.96183i | ||||||||
\(841\) | 263.996 | − | 798.491i | 0.313907 | − | 0.949454i | ||||
\(842\) | 908.202 | 1.07862 | ||||||||
\(843\) | −86.8586 | + | 770.891i | −0.103035 | + | 0.914462i | ||||
\(844\) | 40.7090 | − | 64.7881i | 0.0482335 | − | 0.0767631i | ||||
\(845\) | −73.1948 | − | 16.7062i | −0.0866211 | − | 0.0197707i | ||||
\(846\) | −227.150 | + | 181.146i | −0.268499 | + | 0.214121i | ||||
\(847\) | 701.296 | + | 559.265i | 0.827977 | + | 0.660290i | ||||
\(848\) | 58.0397 | + | 254.288i | 0.0684430 | + | 0.299868i | ||||
\(849\) | 206.093 | − | 588.980i | 0.242748 | − | 0.693734i | ||||
\(850\) | 348.068 | + | 722.771i | 0.409492 | + | 0.850319i | ||||
\(851\) | 19.7577 | + | 31.4443i | 0.0232171 | + | 0.0369498i | ||||
\(852\) | −69.2992 | − | 198.046i | −0.0813371 | − | 0.232448i | ||||
\(853\) | 723.120 | − | 723.120i | 0.847738 | − | 0.847738i | −0.142113 | − | 0.989850i | \(-0.545390\pi\) |
0.989850 | + | 0.142113i | \(0.0453896\pi\) | |||||||
\(854\) | −287.396 | + | 596.784i | −0.336529 | + | 0.698810i | ||||
\(855\) | 685.295 | − | 77.2141i | 0.801514 | − | 0.0903089i | ||||
\(856\) | 79.2135 | + | 703.039i | 0.0925391 | + | 0.821308i | ||||
\(857\) | 274.867 | + | 132.369i | 0.320731 | + | 0.154456i | 0.587321 | − | 0.809354i | \(-0.300183\pi\) |
−0.266590 | + | 0.963810i | \(0.585897\pi\) | |||||||
\(858\) | 860.505 | + | 860.505i | 1.00292 | + | 1.00292i | ||||
\(859\) | −1406.36 | + | 492.106i | −1.63720 | + | 0.572882i | −0.983027 | − | 0.183460i | \(-0.941270\pi\) |
−0.654176 | + | 0.756342i | \(0.726985\pi\) | |||||||
\(860\) | 452.227 | − | 284.153i | 0.525845 | − | 0.330410i | ||||
\(861\) | −348.680 | + | 167.915i | −0.404971 | + | 0.195024i | ||||
\(862\) | −398.781 | − | 139.539i | −0.462623 | − | 0.161879i | ||||
\(863\) | −1181.05 | + | 269.567i | −1.36854 | + | 0.312360i | −0.842773 | − | 0.538270i | \(-0.819078\pi\) |
−0.525766 | + | 0.850629i | \(0.676221\pi\) | |||||||
\(864\) | −158.558 | + | 198.826i | −0.183517 | + | 0.230123i | ||||
\(865\) | −437.865 | − | 549.065i | −0.506202 | − | 0.634757i | ||||
\(866\) | 108.808 | − | 476.719i | 0.125644 | − | 0.550484i | ||||
\(867\) | −73.0546 | − | 45.9032i | −0.0842613 | − | 0.0529449i | ||||
\(868\) | 126.943 | + | 14.3030i | 0.146247 | + | 0.0164781i | ||||
\(869\) | − | 1418.26i | − | 1.63206i | ||||||
\(870\) | −1062.50 | + | 767.782i | −1.22126 | + | 0.882508i | ||||
\(871\) | 1189.33 | 1.36547 | ||||||||
\(872\) | 70.2292 | − | 623.302i | 0.0805381 | − | 0.714795i | ||||
\(873\) | 405.880 | − | 645.955i | 0.464926 | − | 0.739925i | ||||
\(874\) | −96.8104 | − | 22.0963i | −0.110767 | − | 0.0252819i | ||||
\(875\) | 274.134 | − | 218.614i | 0.313296 | − | 0.249845i | ||||
\(876\) | 686.915 | + | 547.797i | 0.784150 | + | 0.625339i | ||||
\(877\) | 155.507 | + | 681.320i | 0.177317 | + | 0.776876i | 0.982862 | + | 0.184342i | \(0.0590154\pi\) |
−0.805545 | + | 0.592534i | \(0.798127\pi\) | |||||||
\(878\) | 304.199 | − | 869.351i | 0.346468 | − | 0.990150i | ||||
\(879\) | −420.280 | − | 872.720i | −0.478134 | − | 0.992855i | ||||
\(880\) | −420.505 | − | 669.230i | −0.477846 | − | 0.760488i | ||||
\(881\) | −290.040 | − | 828.888i | −0.329217 | − | 0.940849i | −0.982910 | − | 0.184089i | \(-0.941067\pi\) |
0.653692 | − | 0.756760i | \(-0.273219\pi\) | |||||||
\(882\) | 53.4571 | − | 53.4571i | 0.0606090 | − | 0.0606090i | ||||
\(883\) | −303.884 | + | 631.021i | −0.344149 | + | 0.714634i | −0.999160 | − | 0.0409863i | \(-0.986950\pi\) |
0.655010 | + | 0.755620i | \(0.272664\pi\) | |||||||
\(884\) | −343.675 | + | 38.7229i | −0.388773 | + | 0.0438041i | ||||
\(885\) | −239.325 | − | 2124.06i | −0.270423 | − | 2.40007i | ||||
\(886\) | −1190.35 | − | 573.244i | −1.34351 | − | 0.647002i | ||||
\(887\) | −505.923 | − | 505.923i | −0.570376 | − | 0.570376i | 0.361858 | − | 0.932233i | \(-0.382143\pi\) |
−0.932233 | + | 0.361858i | \(0.882143\pi\) | |||||||
\(888\) | 260.811 | − | 91.2616i | 0.293706 | − | 0.102772i | ||||
\(889\) | −266.378 | + | 167.376i | −0.299637 | + | 0.188275i | ||||
\(890\) | −1003.12 | + | 483.077i | −1.12710 | + | 0.542783i | ||||
\(891\) | −1489.23 | − | 521.105i | −1.67142 | − | 0.584854i | ||||
\(892\) | −228.778 | + | 52.2170i | −0.256477 | + | 0.0585392i | ||||
\(893\) | −266.288 | + | 333.915i | −0.298195 | + | 0.373925i | ||||
\(894\) | 463.861 | + | 581.664i | 0.518861 | + | 0.650631i | ||||
\(895\) | 558.928 | − | 2448.82i | 0.624500 | − | 2.73612i | ||||
\(896\) | 11.3548 | + | 7.13468i | 0.0126727 | + | 0.00796281i | ||||
\(897\) | −224.144 | − | 25.2549i | −0.249882 | − | 0.0281549i | ||||
\(898\) | 895.028i | 0.996690i | ||||||||
\(899\) | 168.913 | + | 299.478i | 0.187890 | + | 0.333124i | ||||
\(900\) | −344.947 | −0.383275 | ||||||||
\(901\) | 73.7402 | − | 654.463i | 0.0818426 | − | 0.726374i | ||||
\(902\) | 201.188 | − | 320.189i | 0.223047 | − | 0.354977i | ||||
\(903\) | 1032.83 | + | 235.737i | 1.14378 | + | 0.261060i | ||||
\(904\) | 256.547 | − | 204.589i | 0.283791 | − | 0.226316i | ||||
\(905\) | 141.564 | + | 112.893i | 0.156424 | + | 0.124744i | ||||
\(906\) | 198.407 | + | 869.276i | 0.218992 | + | 0.959466i | ||||
\(907\) | −438.151 | + | 1252.16i | −0.483077 | + | 1.38056i | 0.402225 | + | 0.915541i | \(0.368237\pi\) |
−0.885303 | + | 0.465015i | \(0.846049\pi\) | |||||||
\(908\) | 21.7880 | + | 45.2432i | 0.0239956 | + | 0.0498273i | ||||
\(909\) | −152.020 | − | 241.938i | −0.167239 | − | 0.266159i | ||||
\(910\) | −308.277 | − | 881.006i | −0.338766 | − | 0.968139i | ||||
\(911\) | −635.324 | + | 635.324i | −0.697392 | + | 0.697392i | −0.963847 | − | 0.266455i | \(-0.914148\pi\) |
0.266455 | + | 0.963847i | \(0.414148\pi\) | |||||||
\(912\) | −157.353 | + | 326.747i | −0.172536 | + | 0.358275i | ||||
\(913\) | 1040.68 | − | 117.256i | 1.13985 | − | 0.128430i | ||||
\(914\) | 5.41438 | + | 48.0540i | 0.00592383 | + | 0.0525755i | ||||
\(915\) | −1809.57 | − | 871.443i | −1.97767 | − | 0.952397i | ||||
\(916\) | −352.011 | − | 352.011i | −0.384292 | − | 0.384292i | ||||
\(917\) | −533.615 | + | 186.720i | −0.581914 | + | 0.203621i | ||||
\(918\) | −216.637 | + | 136.122i | −0.235989 | + | 0.148281i | ||||
\(919\) | 507.688 | − | 244.490i | 0.552435 | − | 0.266039i | −0.136773 | − | 0.990602i | \(-0.543673\pi\) |
0.689208 | + | 0.724564i | \(0.257959\pi\) | |||||||
\(920\) | 281.712 | + | 98.5752i | 0.306208 | + | 0.107147i | ||||
\(921\) | 1222.47 | − | 279.020i | 1.32733 | − | 0.302954i | ||||
\(922\) | 29.5797 | − | 37.0917i | 0.0320821 | − | 0.0402297i | ||||
\(923\) | 250.710 | + | 314.381i | 0.271625 | + | 0.340607i | ||||
\(924\) | −151.818 | + | 665.158i | −0.164305 | + | 0.719868i | ||||
\(925\) | −222.162 | − | 139.593i | −0.240175 | − | 0.150912i | ||||
\(926\) | 746.170 | + | 84.0732i | 0.805799 | + | 0.0907918i | ||||
\(927\) | 417.281i | 0.450141i | ||||||||
\(928\) | 46.4358 | + | 716.189i | 0.0500386 | + | 0.771755i | ||||
\(929\) | −1219.83 | −1.31306 | −0.656528 | − | 0.754301i | \(-0.727976\pi\) | ||||
−0.656528 | + | 0.754301i | \(0.727976\pi\) | |||||||
\(930\) | 60.0052 | − | 532.561i | 0.0645217 | − | 0.572646i | ||||
\(931\) | 59.1263 | − | 94.0989i | 0.0635083 | − | 0.101073i | ||||
\(932\) | 168.247 | + | 38.4013i | 0.180523 | + | 0.0412031i | ||||
\(933\) | 235.090 | − | 187.478i | 0.251973 | − | 0.200941i | ||||
\(934\) | 158.235 | + | 126.188i | 0.169416 | + | 0.135105i | ||||
\(935\) | 444.093 | + | 1945.70i | 0.474966 | + | 2.08096i | ||||
\(936\) | −229.937 | + | 657.122i | −0.245659 | + | 0.702053i | ||||
\(937\) | −446.623 | − | 927.423i | −0.476652 | − | 0.989779i | −0.991207 | − | 0.132321i | \(-0.957757\pi\) |
0.514555 | − | 0.857458i | \(-0.327957\pi\) | |||||||
\(938\) | −490.824 | − | 781.143i | −0.523267 | − | 0.832775i | ||||
\(939\) | 715.399 | + | 2044.49i | 0.761873 | + | 2.17731i | ||||
\(940\) | 268.268 | − | 268.268i | 0.285391 | − | 0.285391i | ||||
\(941\) | −640.029 | + | 1329.03i | −0.680159 | + | 1.41236i | 0.219431 | + | 0.975628i | \(0.429580\pi\) |
−0.899590 | + | 0.436736i | \(0.856134\pi\) | |||||||
\(942\) | 941.018 | − | 106.027i | 0.998957 | − | 0.112555i | ||||
\(943\) | 7.84770 | + | 69.6503i | 0.00832206 | + | 0.0738603i | ||||
\(944\) | 420.103 | + | 202.311i | 0.445024 | + | 0.214312i | ||||
\(945\) | 352.896 | + | 352.896i | 0.373435 | + | 0.373435i | ||||
\(946\) | −977.063 | + | 341.889i | −1.03284 | + | 0.361405i | ||||
\(947\) | 1469.18 | − | 923.149i | 1.55141 | − | 0.974814i | 0.562413 | − | 0.826856i | \(-0.309873\pi\) |
0.988994 | − | 0.147957i | \(-0.0472698\pi\) | |||||||
\(948\) | 520.830 | − | 250.818i | 0.549398 | − | 0.264576i | ||||
\(949\) | −1589.29 | − | 556.117i | −1.67470 | − | 0.586003i | ||||
\(950\) | 683.990 | − | 156.116i | 0.719990 | − | 0.164333i | ||||
\(951\) | 17.8774 | − | 22.4176i | 0.0187986 | − | 0.0235726i | ||||
\(952\) | 565.952 | + | 709.681i | 0.594487 | + | 0.745463i | ||||
\(953\) | 36.8085 | − | 161.269i | 0.0386239 | − | 0.169222i | −0.951937 | − | 0.306292i | \(-0.900911\pi\) |
0.990561 | + | 0.137070i | \(0.0437686\pi\) | |||||||
\(954\) | −331.765 | − | 208.462i | −0.347762 | − | 0.218513i | ||||
\(955\) | −855.097 | − | 96.3462i | −0.895389 | − | 0.100886i | ||||
\(956\) | 621.495i | 0.650100i | ||||||||
\(957\) | −1690.40 | + | 717.373i | −1.76635 | + | 0.749606i | ||||
\(958\) | −284.266 | −0.296728 | ||||||||
\(959\) | 35.8811 | − | 318.454i | 0.0374151 | − | 0.332069i | ||||
\(960\) | 1003.71 | − | 1597.39i | 1.04553 | − | 1.66395i | ||||
\(961\) | 799.861 | + | 182.563i | 0.832321 | + | 0.189972i | ||||
\(962\) | −122.360 | + | 97.5788i | −0.127193 | + | 0.101433i | ||||
\(963\) | −407.860 | − | 325.257i | −0.423531 | − | 0.337754i | ||||
\(964\) | −19.9874 | − | 87.5705i | −0.0207338 | − | 0.0908407i | ||||
\(965\) | −546.654 | + | 1562.25i | −0.566481 | + | 1.61891i | ||||
\(966\) | 75.9148 | + | 157.639i | 0.0785868 | + | 0.163187i | ||||
\(967\) | −727.782 | − | 1158.26i | −0.752618 | − | 1.19779i | −0.974865 | − | 0.222795i | \(-0.928482\pi\) |
0.222247 | − | 0.974990i | \(-0.428661\pi\) | |||||||
\(968\) | −399.229 | − | 1140.93i | −0.412427 | − | 1.17865i | ||||
\(969\) | 647.525 | − | 647.525i | 0.668241 | − | 0.668241i | ||||
\(970\) | 598.026 | − | 1241.81i | 0.616521 | − | 1.28022i | ||||
\(971\) | 138.857 | − | 15.6455i | 0.143004 | − | 0.0161127i | −0.0401720 | − | 0.999193i | \(-0.512791\pi\) |
0.183177 | + | 0.983080i | \(0.441362\pi\) | |||||||
\(972\) | −54.6267 | − | 484.825i | −0.0562003 | − | 0.498791i | ||||
\(973\) | −30.6586 | − | 14.7644i | −0.0315094 | − | 0.0151741i | ||||
\(974\) | 602.938 | + | 602.938i | 0.619033 | + | 0.619033i | ||||
\(975\) | 1504.22 | − | 526.350i | 1.54279 | − | 0.539847i | ||||
\(976\) | 370.976 | − | 233.100i | 0.380099 | − | 0.238832i | ||||
\(977\) | −1183.23 | + | 569.814i | −1.21109 | + | 0.583228i | −0.926816 | − | 0.375516i | \(-0.877466\pi\) |
−0.284270 | + | 0.958744i | \(0.591751\pi\) | |||||||
\(978\) | −646.798 | − | 226.325i | −0.661348 | − | 0.231416i | ||||
\(979\) | −1520.56 | + | 347.057i | −1.55317 | + | 0.354502i | ||||
\(980\) | −61.5507 | + | 77.1822i | −0.0628069 | + | 0.0787573i | ||||
\(981\) | 288.367 | + | 361.601i | 0.293952 | + | 0.368604i | ||||
\(982\) | −83.4533 | + | 365.633i | −0.0849830 | + | 0.372335i | ||||
\(983\) | −197.408 | − | 124.040i | −0.200822 | − | 0.126185i | 0.427867 | − | 0.903842i | \(-0.359265\pi\) |
−0.628689 | + | 0.777657i | \(0.716408\pi\) | |||||||
\(984\) | 518.239 | + | 58.3916i | 0.526666 | + | 0.0593410i | ||||
\(985\) | 1893.32i | 1.92216i | ||||||||
\(986\) | −193.884 | + | 695.538i | −0.196636 | + | 0.705413i | ||||
\(987\) | 752.534 | 0.762446 | ||||||||
\(988\) | −33.8652 | + | 300.562i | −0.0342765 | + | 0.304213i | ||||
\(989\) | 102.080 | − | 162.459i | 0.103215 | − | 0.164266i | ||||
\(990\) | 1157.55 | + | 264.204i | 1.16924 | + | 0.266872i | ||||
\(991\) | 757.063 | − | 603.738i | 0.763939 | − | 0.609221i | −0.162045 | − | 0.986783i | \(-0.551809\pi\) |
0.925984 | + | 0.377563i | \(0.123238\pi\) | |||||||
\(992\) | −229.403 | − | 182.943i | −0.231253 | − | 0.184418i | ||||
\(993\) | 74.7605 | + | 327.547i | 0.0752875 | + | 0.329856i | ||||
\(994\) | 103.017 | − | 294.407i | 0.103639 | − | 0.296184i | ||||
\(995\) | 1015.39 | + | 2108.48i | 1.02049 | + | 2.11908i | ||||
\(996\) | 227.104 | + | 361.433i | 0.228016 | + | 0.362885i | ||||
\(997\) | 277.571 | + | 793.254i | 0.278407 | + | 0.795640i | 0.995156 | + | 0.0983095i | \(0.0313435\pi\) |
−0.716749 | + | 0.697331i | \(0.754371\pi\) | |||||||
\(998\) | 570.953 | − | 570.953i | 0.572097 | − | 0.572097i | ||||
\(999\) | 36.3079 | − | 75.3941i | 0.0363443 | − | 0.0754696i |
(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 | 29.3.f.a.27.2 | yes | 48 | |
3.2 | odd | 2 | 261.3.s.a.172.3 | 48 | |||
29.14 | odd | 28 | inner | 29.3.f.a.14.2 | ✓ | 48 | |
87.14 | even | 28 | 261.3.s.a.217.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.14.2 | ✓ | 48 | 29.14 | odd | 28 | inner | |
29.3.f.a.27.2 | yes | 48 | 1.1 | even | 1 | trivial | |
261.3.s.a.172.3 | 48 | 3.2 | odd | 2 | |||
261.3.s.a.217.3 | 48 | 87.14 | even | 28 |