Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(13,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([21, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.s (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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 237.16 | ||
Character | \(\chi\) | \(=\) | 490.237 |
Dual form | 490.2.s.a.153.16 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.111964 | − | 0.993712i | 0.0791708 | − | 0.702661i | ||||
\(3\) | −2.73971 | − | 0.958666i | −1.58177 | − | 0.553486i | −0.610616 | − | 0.791927i | \(-0.709078\pi\) |
−0.971157 | + | 0.238441i | \(0.923364\pi\) | |||||||
\(4\) | −0.974928 | − | 0.222521i | −0.487464 | − | 0.111260i | ||||
\(5\) | 2.16141 | − | 0.572981i | 0.966612 | − | 0.256245i | ||||
\(6\) | −1.25939 | + | 2.61515i | −0.514143 | + | 1.06763i | ||||
\(7\) | 2.33738 | + | 1.23962i | 0.883447 | + | 0.468531i | ||||
\(8\) | −0.330279 | + | 0.943883i | −0.116771 | + | 0.333713i | ||||
\(9\) | 4.24148 | + | 3.38247i | 1.41383 | + | 1.12749i | ||||
\(10\) | −0.327377 | − | 2.21197i | −0.103526 | − | 0.699487i | ||||
\(11\) | 0.646794 | + | 0.811054i | 0.195016 | + | 0.244542i | 0.869719 | − | 0.493547i | \(-0.164300\pi\) |
−0.674703 | + | 0.738089i | \(0.735728\pi\) | |||||||
\(12\) | 2.45770 | + | 1.54427i | 0.709476 | + | 0.445793i | ||||
\(13\) | −0.790180 | + | 7.01304i | −0.219156 | + | 1.94507i | 0.0944872 | + | 0.995526i | \(0.469879\pi\) |
−0.313644 | + | 0.949541i | \(0.601550\pi\) | |||||||
\(14\) | 1.49353 | − | 2.18389i | 0.399162 | − | 0.583669i | ||||
\(15\) | −6.47093 | − | 0.502268i | −1.67079 | − | 0.129685i | ||||
\(16\) | 0.900969 | + | 0.433884i | 0.225242 | + | 0.108471i | ||||
\(17\) | 1.68132 | + | 1.05644i | 0.407781 | + | 0.256226i | 0.720267 | − | 0.693697i | \(-0.244019\pi\) |
−0.312487 | + | 0.949922i | \(0.601162\pi\) | |||||||
\(18\) | 3.83609 | − | 3.83609i | 0.904176 | − | 0.904176i | ||||
\(19\) | 5.66400 | 1.29941 | 0.649706 | − | 0.760186i | \(-0.274892\pi\) | ||||
0.649706 | + | 0.760186i | \(0.274892\pi\) | |||||||
\(20\) | −2.23472 | + | 0.0776565i | −0.499698 | + | 0.0173645i | ||||
\(21\) | −5.21537 | − | 5.63696i | −1.13809 | − | 1.23009i | ||||
\(22\) | 0.878372 | − | 0.551918i | 0.187270 | − | 0.117669i | ||||
\(23\) | −4.02868 | − | 6.41161i | −0.840038 | − | 1.33691i | −0.939738 | − | 0.341895i | \(-0.888931\pi\) |
0.0997006 | − | 0.995017i | \(-0.468212\pi\) | |||||||
\(24\) | 1.80974 | − | 2.26934i | 0.369411 | − | 0.463227i | ||||
\(25\) | 4.34338 | − | 2.47689i | 0.868677 | − | 0.495379i | ||||
\(26\) | 6.88047 | + | 1.57042i | 1.34937 | + | 0.307985i | ||||
\(27\) | −3.74495 | − | 5.96005i | −0.720715 | − | 1.14701i | ||||
\(28\) | −2.00294 | − | 1.72865i | −0.378520 | − | 0.326685i | ||||
\(29\) | 3.66097 | − | 0.835593i | 0.679826 | − | 0.155166i | 0.131355 | − | 0.991335i | \(-0.458067\pi\) |
0.548471 | + | 0.836170i | \(0.315210\pi\) | |||||||
\(30\) | −1.22362 | + | 6.37401i | −0.223402 | + | 1.16373i | ||||
\(31\) | − | 0.443655i | − | 0.0796828i | −0.999206 | − | 0.0398414i | \(-0.987315\pi\) | ||
0.999206 | − | 0.0398414i | \(-0.0126853\pi\) | |||||||
\(32\) | 0.532032 | − | 0.846724i | 0.0940509 | − | 0.149681i | ||||
\(33\) | −0.994498 | − | 2.84211i | −0.173120 | − | 0.494748i | ||||
\(34\) | 1.23805 | − | 1.55247i | 0.212324 | − | 0.266246i | ||||
\(35\) | 5.76232 | + | 1.34005i | 0.974009 | + | 0.226509i | ||||
\(36\) | −3.38247 | − | 4.24148i | −0.563744 | − | 0.706913i | ||||
\(37\) | 2.01720 | − | 3.21036i | 0.331626 | − | 0.527779i | −0.638739 | − | 0.769423i | \(-0.720544\pi\) |
0.970365 | + | 0.241644i | \(0.0776866\pi\) | |||||||
\(38\) | 0.634167 | − | 5.62839i | 0.102875 | − | 0.913045i | ||||
\(39\) | 8.88803 | − | 18.4562i | 1.42322 | − | 2.95535i | ||||
\(40\) | −0.173041 | + | 2.22936i | −0.0273602 | + | 0.352493i | ||||
\(41\) | 3.05069 | + | 6.33483i | 0.476438 | + | 0.989335i | 0.991246 | + | 0.132029i | \(0.0421491\pi\) |
−0.514807 | + | 0.857306i | \(0.672137\pi\) | |||||||
\(42\) | −6.18545 | + | 4.55143i | −0.954436 | + | 0.702302i | ||||
\(43\) | −4.73014 | + | 1.65515i | −0.721340 | + | 0.252408i | −0.665886 | − | 0.746053i | \(-0.731946\pi\) |
−0.0554539 | + | 0.998461i | \(0.517661\pi\) | |||||||
\(44\) | −0.450101 | − | 0.934645i | −0.0678553 | − | 0.140903i | ||||
\(45\) | 11.1057 | + | 4.88061i | 1.65553 | + | 0.727558i | ||||
\(46\) | −6.82236 | + | 3.28548i | −1.00590 | + | 0.484417i | ||||
\(47\) | −12.9574 | − | 1.45995i | −1.89003 | − | 0.212956i | −0.910397 | − | 0.413737i | \(-0.864223\pi\) |
−0.979636 | + | 0.200781i | \(0.935652\pi\) | |||||||
\(48\) | −2.05244 | − | 2.05244i | −0.296245 | − | 0.296245i | ||||
\(49\) | 3.92670 | + | 5.79492i | 0.560957 | + | 0.827845i | ||||
\(50\) | −1.97502 | − | 4.59340i | −0.279309 | − | 0.649605i | ||||
\(51\) | −3.59356 | − | 4.50618i | −0.503199 | − | 0.630991i | ||||
\(52\) | 2.33092 | − | 6.66138i | 0.323240 | − | 0.923767i | ||||
\(53\) | −0.823614 | − | 1.31077i | −0.113132 | − | 0.180049i | 0.785359 | − | 0.619041i | \(-0.212478\pi\) |
−0.898491 | + | 0.438992i | \(0.855336\pi\) | |||||||
\(54\) | −6.34187 | + | 3.05409i | −0.863020 | + | 0.415608i | ||||
\(55\) | 1.86271 | + | 1.38242i | 0.251167 | + | 0.186405i | ||||
\(56\) | −1.94204 | + | 1.79680i | −0.259516 | + | 0.240107i | ||||
\(57\) | −15.5177 | − | 5.42989i | −2.05537 | − | 0.719206i | ||||
\(58\) | −0.420440 | − | 3.73151i | −0.0552065 | − | 0.489971i | ||||
\(59\) | 3.58199 | + | 1.72500i | 0.466336 | + | 0.224575i | 0.652270 | − | 0.757987i | \(-0.273817\pi\) |
−0.185934 | + | 0.982562i | \(0.559531\pi\) | |||||||
\(60\) | 6.19693 | + | 1.92959i | 0.800020 | + | 0.249109i | ||||
\(61\) | 2.28799 | − | 0.522220i | 0.292948 | − | 0.0668634i | −0.0735214 | − | 0.997294i | \(-0.523424\pi\) |
0.366469 | + | 0.930430i | \(0.380567\pi\) | |||||||
\(62\) | −0.440865 | − | 0.0496736i | −0.0559900 | − | 0.00630855i | ||||
\(63\) | 5.72099 | + | 13.1639i | 0.720776 | + | 1.65850i | ||||
\(64\) | −0.781831 | − | 0.623490i | −0.0977289 | − | 0.0779362i | ||||
\(65\) | 2.31044 | + | 15.6108i | 0.286575 | + | 1.93628i | ||||
\(66\) | −2.93559 | + | 0.670030i | −0.361346 | + | 0.0824749i | ||||
\(67\) | 11.1513 | + | 11.1513i | 1.36235 | + | 1.36235i | 0.870914 | + | 0.491436i | \(0.163528\pi\) |
0.491436 | + | 0.870914i | \(0.336472\pi\) | |||||||
\(68\) | −1.40409 | − | 1.40409i | −0.170271 | − | 0.170271i | ||||
\(69\) | 4.89082 | + | 21.4281i | 0.588786 | + | 2.57964i | ||||
\(70\) | 1.97679 | − | 5.57605i | 0.236272 | − | 0.666465i | ||||
\(71\) | 2.52214 | − | 11.0502i | 0.299322 | − | 1.31142i | −0.571817 | − | 0.820381i | \(-0.693761\pi\) |
0.871139 | − | 0.491036i | \(-0.163382\pi\) | |||||||
\(72\) | −4.59352 | + | 2.88630i | −0.541352 | + | 0.340154i | ||||
\(73\) | 0.463949 | − | 0.0522745i | 0.0543011 | − | 0.00611827i | −0.0847721 | − | 0.996400i | \(-0.527016\pi\) |
0.139073 | + | 0.990282i | \(0.455588\pi\) | |||||||
\(74\) | −2.96432 | − | 2.36396i | −0.344595 | − | 0.274805i | ||||
\(75\) | −14.2741 | + | 2.62212i | −1.64823 | + | 0.302776i | ||||
\(76\) | −5.52199 | − | 1.26036i | −0.633416 | − | 0.144573i | ||||
\(77\) | 0.506407 | + | 2.69752i | 0.0577105 | + | 0.307411i | ||||
\(78\) | −17.3450 | − | 10.8986i | −1.96393 | − | 1.23402i | ||||
\(79\) | − | 5.53351i | − | 0.622568i | −0.950317 | − | 0.311284i | \(-0.899241\pi\) | ||
0.950317 | − | 0.311284i | \(-0.100759\pi\) | |||||||
\(80\) | 2.19597 | + | 0.421562i | 0.245517 | + | 0.0471321i | ||||
\(81\) | 0.924808 | + | 4.05185i | 0.102756 | + | 0.450205i | ||||
\(82\) | 6.63657 | − | 2.32224i | 0.732886 | − | 0.256448i | ||||
\(83\) | 5.88584 | − | 0.663175i | 0.646054 | − | 0.0727929i | 0.217144 | − | 0.976140i | \(-0.430326\pi\) |
0.428911 | + | 0.903347i | \(0.358897\pi\) | |||||||
\(84\) | 3.83027 | + | 6.65616i | 0.417916 | + | 0.726246i | ||||
\(85\) | 4.23935 | + | 1.32004i | 0.459822 | + | 0.143179i | ||||
\(86\) | 1.11513 | + | 4.88572i | 0.120248 | + | 0.526841i | ||||
\(87\) | −10.8311 | − | 1.22037i | −1.16121 | − | 0.130837i | ||||
\(88\) | −0.979163 | + | 0.342624i | −0.104379 | + | 0.0365238i | ||||
\(89\) | −7.43642 | + | 9.32497i | −0.788258 | + | 0.988445i | 0.211680 | + | 0.977339i | \(0.432107\pi\) |
−0.999938 | + | 0.0111058i | \(0.996465\pi\) | |||||||
\(90\) | 6.09336 | − | 10.4894i | 0.642296 | − | 1.10568i | ||||
\(91\) | −10.5404 | + | 15.4126i | −1.10494 | + | 1.61568i | ||||
\(92\) | 2.50096 | + | 7.14732i | 0.260743 | + | 0.745160i | ||||
\(93\) | −0.425317 | + | 1.21549i | −0.0441033 | + | 0.126040i | ||||
\(94\) | −2.90154 | + | 12.7125i | −0.299271 | + | 1.31119i | ||||
\(95\) | 12.2422 | − | 3.24537i | 1.25603 | − | 0.332968i | ||||
\(96\) | −2.26934 | + | 1.80974i | −0.231614 | + | 0.184706i | ||||
\(97\) | 2.10950 | − | 2.10950i | 0.214187 | − | 0.214187i | −0.591857 | − | 0.806043i | \(-0.701605\pi\) |
0.806043 | + | 0.591857i | \(0.201605\pi\) | |||||||
\(98\) | 6.19813 | − | 3.25318i | 0.626106 | − | 0.328621i | ||||
\(99\) | 5.62783i | 0.565618i | ||||||||
\(100\) | −4.78565 | + | 1.44830i | −0.478565 | + | 0.144830i | ||||
\(101\) | 0.692929 | + | 1.43888i | 0.0689490 | + | 0.143174i | 0.932595 | − | 0.360925i | \(-0.117539\pi\) |
−0.863646 | + | 0.504099i | \(0.831825\pi\) | |||||||
\(102\) | −4.88020 | + | 3.06643i | −0.483211 | + | 0.303622i | ||||
\(103\) | −5.11393 | − | 1.78944i | −0.503891 | − | 0.176319i | 0.0663504 | − | 0.997796i | \(-0.478864\pi\) |
−0.570241 | + | 0.821477i | \(0.693150\pi\) | |||||||
\(104\) | −6.35851 | − | 3.06210i | −0.623503 | − | 0.300263i | ||||
\(105\) | −14.5024 | − | 9.19547i | −1.41529 | − | 0.897386i | ||||
\(106\) | −1.39475 | + | 0.671675i | −0.135470 | + | 0.0652388i | ||||
\(107\) | 16.0291 | − | 1.80604i | 1.54959 | − | 0.174597i | 0.704688 | − | 0.709517i | \(-0.251087\pi\) |
0.844902 | + | 0.534920i | \(0.179658\pi\) | |||||||
\(108\) | 2.32482 | + | 6.64395i | 0.223706 | + | 0.639314i | ||||
\(109\) | −3.61849 | + | 2.88565i | −0.346588 | + | 0.276395i | −0.781275 | − | 0.624187i | \(-0.785430\pi\) |
0.434687 | + | 0.900582i | \(0.356859\pi\) | |||||||
\(110\) | 1.58228 | − | 1.69621i | 0.150865 | − | 0.161727i | ||||
\(111\) | −8.60420 | + | 6.86162i | −0.816675 | + | 0.651277i | ||||
\(112\) | 1.56806 | + | 2.13101i | 0.148168 | + | 0.201361i | ||||
\(113\) | −0.829740 | − | 7.36415i | −0.0780554 | − | 0.692761i | −0.970416 | − | 0.241438i | \(-0.922381\pi\) |
0.892361 | − | 0.451323i | \(-0.149048\pi\) | |||||||
\(114\) | −7.13318 | + | 14.8122i | −0.668083 | + | 1.38729i | ||||
\(115\) | −12.3814 | − | 11.5498i | −1.15457 | − | 1.07702i | ||||
\(116\) | −3.75512 | −0.348654 | ||||||||
\(117\) | −27.0729 | + | 27.0729i | −2.50289 | + | 2.50289i | ||||
\(118\) | 2.11521 | − | 3.36633i | 0.194721 | − | 0.309896i | ||||
\(119\) | 2.62030 | + | 4.55351i | 0.240203 | + | 0.417420i | ||||
\(120\) | 2.61130 | − | 5.94192i | 0.238378 | − | 0.542421i | ||||
\(121\) | 2.20826 | − | 9.67504i | 0.200751 | − | 0.879549i | ||||
\(122\) | −0.262762 | − | 2.33208i | −0.0237893 | − | 0.211136i | ||||
\(123\) | −2.28503 | − | 20.2802i | −0.206034 | − | 1.82860i | ||||
\(124\) | −0.0987225 | + | 0.432532i | −0.00886554 | + | 0.0388425i | ||||
\(125\) | 7.96862 | − | 7.84226i | 0.712735 | − | 0.701433i | ||||
\(126\) | 13.7217 | − | 4.21112i | 1.22243 | − | 0.375157i | ||||
\(127\) | −8.36817 | + | 13.3179i | −0.742555 | + | 1.18177i | 0.235186 | + | 0.971950i | \(0.424430\pi\) |
−0.977740 | + | 0.209819i | \(0.932713\pi\) | |||||||
\(128\) | −0.707107 | + | 0.707107i | −0.0625000 | + | 0.0625000i | ||||
\(129\) | 14.5460 | 1.28070 | ||||||||
\(130\) | 15.7713 | − | 0.548054i | 1.38324 | − | 0.0480675i | ||||
\(131\) | 4.42150 | − | 9.18134i | 0.386308 | − | 0.802178i | −0.613613 | − | 0.789607i | \(-0.710284\pi\) |
0.999921 | − | 0.0125705i | \(-0.00400141\pi\) | |||||||
\(132\) | 0.337135 | + | 2.99215i | 0.0293438 | + | 0.260433i | ||||
\(133\) | 13.2389 | + | 7.02119i | 1.14796 | + | 0.608815i | ||||
\(134\) | 12.3297 | − | 9.83264i | 1.06513 | − | 0.849411i | ||||
\(135\) | −11.5094 | − | 10.7363i | −0.990568 | − | 0.924035i | ||||
\(136\) | −1.55247 | + | 1.23805i | −0.133123 | + | 0.106162i | ||||
\(137\) | −2.76014 | − | 7.88802i | −0.235815 | − | 0.673919i | −0.999595 | − | 0.0284437i | \(-0.990945\pi\) |
0.763781 | − | 0.645476i | \(-0.223341\pi\) | |||||||
\(138\) | 21.8410 | − | 2.46089i | 1.85923 | − | 0.209485i | ||||
\(139\) | −10.2712 | + | 4.94635i | −0.871192 | + | 0.419544i | −0.815400 | − | 0.578898i | \(-0.803483\pi\) |
−0.0557925 | + | 0.998442i | \(0.517769\pi\) | |||||||
\(140\) | −5.31965 | − | 2.58868i | −0.449593 | − | 0.218784i | ||||
\(141\) | 34.1000 | + | 16.4217i | 2.87173 | + | 1.38295i | ||||
\(142\) | −10.6983 | − | 3.74351i | −0.897784 | − | 0.314148i | ||||
\(143\) | −6.19904 | + | 3.89511i | −0.518390 | + | 0.325726i | ||||
\(144\) | 2.35384 | + | 4.88780i | 0.196154 | + | 0.407317i | ||||
\(145\) | 7.43409 | − | 3.90373i | 0.617367 | − | 0.324187i | ||||
\(146\) | − | 0.466885i | − | 0.0386397i | ||||||
\(147\) | −5.20263 | − | 19.6408i | −0.429105 | − | 1.61994i | ||||
\(148\) | −2.68100 | + | 2.68100i | −0.220377 | + | 0.220377i | ||||
\(149\) | 12.3623 | − | 9.85860i | 1.01276 | − | 0.807648i | 0.0313367 | − | 0.999509i | \(-0.490024\pi\) |
0.981422 | + | 0.191861i | \(0.0614522\pi\) | |||||||
\(150\) | 1.00744 | + | 14.4780i | 0.0822567 | + | 1.18212i | ||||
\(151\) | 0.372621 | − | 1.63256i | 0.0303235 | − | 0.132856i | −0.957500 | − | 0.288432i | \(-0.906866\pi\) |
0.987824 | + | 0.155576i | \(0.0497233\pi\) | |||||||
\(152\) | −1.87070 | + | 5.34616i | −0.151734 | + | 0.433631i | ||||
\(153\) | 3.55790 | + | 10.1679i | 0.287639 | + | 0.822026i | ||||
\(154\) | 2.73726 | − | 0.201197i | 0.220575 | − | 0.0162129i | ||||
\(155\) | −0.254206 | − | 0.958920i | −0.0204183 | − | 0.0770223i | ||||
\(156\) | −12.7721 | + | 16.0157i | −1.02258 | + | 1.28228i | ||||
\(157\) | 2.19477 | − | 0.767984i | 0.175162 | − | 0.0612918i | −0.241273 | − | 0.970457i | \(-0.577565\pi\) |
0.416435 | + | 0.909165i | \(0.363279\pi\) | |||||||
\(158\) | −5.49871 | − | 0.619556i | −0.437454 | − | 0.0492892i | ||||
\(159\) | 0.999869 | + | 4.38071i | 0.0792947 | + | 0.347413i | ||||
\(160\) | 0.664782 | − | 2.13496i | 0.0525557 | − | 0.168784i | ||||
\(161\) | −1.46862 | − | 19.9804i | −0.115743 | − | 1.57467i | ||||
\(162\) | 4.12992 | − | 0.465330i | 0.324477 | − | 0.0365598i | ||||
\(163\) | −11.1220 | + | 3.89175i | −0.871140 | + | 0.304825i | −0.728580 | − | 0.684961i | \(-0.759819\pi\) |
−0.142561 | + | 0.989786i | \(0.545534\pi\) | |||||||
\(164\) | −1.56457 | − | 6.85485i | −0.122173 | − | 0.535274i | ||||
\(165\) | −3.77800 | − | 5.57314i | −0.294117 | − | 0.433869i | ||||
\(166\) | − | 5.92308i | − | 0.459720i | ||||||
\(167\) | 7.13203 | + | 4.48135i | 0.551893 | + | 0.346777i | 0.778932 | − | 0.627108i | \(-0.215762\pi\) |
−0.227039 | + | 0.973886i | \(0.572905\pi\) | |||||||
\(168\) | 7.04316 | − | 3.06093i | 0.543392 | − | 0.236156i | ||||
\(169\) | −35.8843 | − | 8.19035i | −2.76033 | − | 0.630027i | ||||
\(170\) | 1.78640 | − | 4.06490i | 0.137011 | − | 0.311763i | ||||
\(171\) | 24.0237 | + | 19.1583i | 1.83714 | + | 1.46507i | ||||
\(172\) | 4.97985 | − | 0.561095i | 0.379710 | − | 0.0427831i | ||||
\(173\) | −0.503301 | + | 0.316245i | −0.0382652 | + | 0.0240436i | −0.551029 | − | 0.834486i | \(-0.685765\pi\) |
0.512764 | + | 0.858530i | \(0.328622\pi\) | |||||||
\(174\) | −2.42539 | + | 10.6263i | −0.183868 | + | 0.805579i | ||||
\(175\) | 13.2225 | − | 0.405311i | 0.999531 | − | 0.0306386i | ||||
\(176\) | 0.230838 | + | 1.01137i | 0.0174001 | + | 0.0762347i | ||||
\(177\) | −8.15993 | − | 8.15993i | −0.613338 | − | 0.613338i | ||||
\(178\) | 8.43372 | + | 8.43372i | 0.632134 | + | 0.632134i | ||||
\(179\) | −16.9801 | + | 3.87559i | −1.26915 | + | 0.289675i | −0.803506 | − | 0.595296i | \(-0.797035\pi\) |
−0.465645 | + | 0.884972i | \(0.654178\pi\) | |||||||
\(180\) | −9.74118 | − | 7.22948i | −0.726065 | − | 0.538854i | ||||
\(181\) | 5.46208 | + | 4.35586i | 0.405993 | + | 0.323769i | 0.805104 | − | 0.593134i | \(-0.202110\pi\) |
−0.399111 | + | 0.916903i | \(0.630681\pi\) | |||||||
\(182\) | 14.1356 | + | 12.1998i | 1.04780 | + | 0.904311i | ||||
\(183\) | −6.76907 | − | 0.762691i | −0.500384 | − | 0.0563798i | ||||
\(184\) | 7.38240 | − | 1.68498i | 0.544237 | − | 0.124219i | ||||
\(185\) | 2.52052 | − | 8.09471i | 0.185313 | − | 0.595135i | ||||
\(186\) | 1.16022 | + | 0.558734i | 0.0850717 | + | 0.0409684i | ||||
\(187\) | 0.230635 | + | 2.04695i | 0.0168657 | + | 0.149688i | ||||
\(188\) | 12.3077 | + | 4.30664i | 0.897629 | + | 0.314094i | ||||
\(189\) | −1.36519 | − | 18.5732i | −0.0993027 | − | 1.35100i | ||||
\(190\) | −1.85427 | − | 12.5286i | −0.134523 | − | 0.908921i | ||||
\(191\) | −18.5161 | + | 8.91686i | −1.33978 | + | 0.645202i | −0.960032 | − | 0.279890i | \(-0.909702\pi\) |
−0.379743 | + | 0.925092i | \(0.623988\pi\) | |||||||
\(192\) | 1.54427 | + | 2.45770i | 0.111448 | + | 0.177369i | ||||
\(193\) | −3.49303 | + | 9.98249i | −0.251433 | + | 0.718556i | 0.747115 | + | 0.664695i | \(0.231438\pi\) |
−0.998548 | + | 0.0538608i | \(0.982847\pi\) | |||||||
\(194\) | −1.86004 | − | 2.33242i | −0.133543 | − | 0.167458i | ||||
\(195\) | 8.63562 | − | 44.9840i | 0.618410 | − | 3.22137i | ||||
\(196\) | −2.53876 | − | 6.52340i | −0.181340 | − | 0.465957i | ||||
\(197\) | −2.89081 | − | 2.89081i | −0.205962 | − | 0.205962i | 0.596587 | − | 0.802549i | \(-0.296523\pi\) |
−0.802549 | + | 0.596587i | \(0.796523\pi\) | |||||||
\(198\) | 5.59244 | + | 0.630117i | 0.397437 | + | 0.0447805i | ||||
\(199\) | 2.98031 | − | 1.43524i | 0.211269 | − | 0.101742i | −0.325257 | − | 0.945626i | \(-0.605451\pi\) |
0.536526 | + | 0.843884i | \(0.319737\pi\) | |||||||
\(200\) | 0.903371 | + | 4.91772i | 0.0638779 | + | 0.347735i | ||||
\(201\) | −19.8610 | − | 41.2418i | −1.40089 | − | 2.90897i | ||||
\(202\) | 1.50742 | − | 0.527468i | 0.106062 | − | 0.0371125i | ||||
\(203\) | 9.59291 | + | 2.58511i | 0.673290 | + | 0.181439i | ||||
\(204\) | 2.50074 | + | 5.19284i | 0.175087 | + | 0.363572i | ||||
\(205\) | 10.2235 | + | 11.9442i | 0.714043 | + | 0.834218i | ||||
\(206\) | −2.35077 | + | 4.88142i | −0.163786 | + | 0.340105i | ||||
\(207\) | 4.59948 | − | 40.8216i | 0.319686 | − | 2.83729i | ||||
\(208\) | −3.75477 | + | 5.97568i | −0.260346 | + | 0.414339i | ||||
\(209\) | 3.66344 | + | 4.59381i | 0.253406 | + | 0.317761i | ||||
\(210\) | −10.7614 | + | 13.3817i | −0.742608 | + | 0.923423i | ||||
\(211\) | −5.62713 | + | 7.05619i | −0.387387 | + | 0.485768i | −0.936841 | − | 0.349756i | \(-0.886265\pi\) |
0.549453 | + | 0.835524i | \(0.314836\pi\) | |||||||
\(212\) | 0.511289 | + | 1.46118i | 0.0351155 | + | 0.100354i | ||||
\(213\) | −17.5034 | + | 27.8565i | −1.19931 | + | 1.90869i | ||||
\(214\) | − | 16.1305i | − | 1.10266i | ||||||
\(215\) | −9.27541 | + | 6.28774i | −0.632578 | + | 0.428820i | ||||
\(216\) | 6.86247 | − | 1.56631i | 0.466932 | − | 0.106574i | ||||
\(217\) | 0.549962 | − | 1.03699i | 0.0373339 | − | 0.0703955i | ||||
\(218\) | 2.46236 | + | 3.91883i | 0.166772 | + | 0.265416i | ||||
\(219\) | −1.32120 | − | 0.301555i | −0.0892784 | − | 0.0203772i | ||||
\(220\) | −1.50839 | − | 1.76225i | −0.101695 | − | 0.118811i | ||||
\(221\) | −8.73744 | + | 10.9564i | −0.587743 | + | 0.737007i | ||||
\(222\) | 5.85511 | + | 9.31836i | 0.392970 | + | 0.625407i | ||||
\(223\) | −0.409681 | + | 0.257420i | −0.0274343 | + | 0.0172381i | −0.545679 | − | 0.837994i | \(-0.683728\pi\) |
0.518245 | + | 0.855232i | \(0.326585\pi\) | |||||||
\(224\) | 2.29318 | − | 1.31960i | 0.153219 | − | 0.0881695i | ||||
\(225\) | 26.8004 | + | 4.18566i | 1.78669 | + | 0.279044i | ||||
\(226\) | −7.41074 | −0.492955 | ||||||||
\(227\) | 5.89946 | − | 5.89946i | 0.391561 | − | 0.391561i | −0.483682 | − | 0.875244i | \(-0.660701\pi\) |
0.875244 | + | 0.483682i | \(0.160701\pi\) | |||||||
\(228\) | 13.9204 | + | 8.74677i | 0.921901 | + | 0.579269i | ||||
\(229\) | −5.22243 | − | 2.51499i | −0.345108 | − | 0.166195i | 0.253298 | − | 0.967388i | \(-0.418485\pi\) |
−0.598406 | + | 0.801193i | \(0.704199\pi\) | |||||||
\(230\) | −12.8634 | + | 11.0103i | −0.848187 | + | 0.726001i | ||||
\(231\) | 1.19861 | − | 7.87590i | 0.0788628 | − | 0.518196i | ||||
\(232\) | −0.420440 | + | 3.73151i | −0.0276033 | + | 0.244986i | ||||
\(233\) | −3.71580 | − | 2.33479i | −0.243430 | − | 0.152957i | 0.404791 | − | 0.914409i | \(-0.367344\pi\) |
−0.648222 | + | 0.761452i | \(0.724487\pi\) | |||||||
\(234\) | 23.8715 | + | 29.9339i | 1.56053 | + | 1.95684i | ||||
\(235\) | −28.8428 | + | 4.26880i | −1.88150 | + | 0.278466i | ||||
\(236\) | −3.10834 | − | 2.47882i | −0.202336 | − | 0.161357i | ||||
\(237\) | −5.30478 | + | 15.1602i | −0.344583 | + | 0.984761i | ||||
\(238\) | 4.81826 | − | 2.09400i | 0.312321 | − | 0.135734i | ||||
\(239\) | 5.92800 | − | 12.3096i | 0.383451 | − | 0.796244i | −0.616510 | − | 0.787347i | \(-0.711454\pi\) |
0.999960 | − | 0.00889635i | \(-0.00283183\pi\) | |||||||
\(240\) | −5.61219 | − | 3.26016i | −0.362265 | − | 0.210442i | ||||
\(241\) | −17.1102 | − | 3.90528i | −1.10216 | − | 0.251561i | −0.367520 | − | 0.930016i | \(-0.619793\pi\) |
−0.734642 | + | 0.678454i | \(0.762650\pi\) | |||||||
\(242\) | −9.36696 | − | 3.27764i | −0.602131 | − | 0.210695i | ||||
\(243\) | −1.01367 | + | 8.99659i | −0.0650271 | + | 0.577132i | ||||
\(244\) | −2.34683 | −0.150241 | ||||||||
\(245\) | 11.8076 | + | 10.2753i | 0.754359 | + | 0.656462i | ||||
\(246\) | −20.4085 | −1.30120 | ||||||||
\(247\) | −4.47558 | + | 39.7219i | −0.284774 | + | 2.52744i | ||||
\(248\) | 0.418759 | + | 0.146530i | 0.0265912 | + | 0.00930466i | ||||
\(249\) | −16.7613 | − | 3.82565i | −1.06220 | − | 0.242440i | ||||
\(250\) | −6.90075 | − | 8.79657i | −0.436442 | − | 0.556344i | ||||
\(251\) | −6.52632 | + | 13.5520i | −0.411938 | + | 0.855397i | 0.587012 | + | 0.809578i | \(0.300304\pi\) |
−0.998950 | + | 0.0458193i | \(0.985410\pi\) | |||||||
\(252\) | −2.64830 | − | 14.1069i | −0.166827 | − | 0.888652i | ||||
\(253\) | 2.59443 | − | 7.41447i | 0.163111 | − | 0.466144i | ||||
\(254\) | 12.2972 | + | 9.80668i | 0.771594 | + | 0.615326i | ||||
\(255\) | −10.3491 | − | 7.68066i | −0.648086 | − | 0.480982i | ||||
\(256\) | 0.623490 | + | 0.781831i | 0.0389681 | + | 0.0488645i | ||||
\(257\) | 4.87102 | + | 3.06066i | 0.303846 | + | 0.190919i | 0.675321 | − | 0.737524i | \(-0.264005\pi\) |
−0.371475 | + | 0.928443i | \(0.621148\pi\) | |||||||
\(258\) | 1.62863 | − | 14.4545i | 0.101394 | − | 0.899897i | ||||
\(259\) | 8.69458 | − | 5.00327i | 0.540255 | − | 0.310888i | ||||
\(260\) | 1.22122 | − | 15.7335i | 0.0757369 | − | 0.975752i | ||||
\(261\) | 18.3543 | + | 8.83897i | 1.13610 | + | 0.547118i | ||||
\(262\) | −8.62856 | − | 5.42169i | −0.533074 | − | 0.334953i | ||||
\(263\) | 6.77880 | − | 6.77880i | 0.417999 | − | 0.417999i | −0.466515 | − | 0.884513i | \(-0.654490\pi\) |
0.884513 | + | 0.466515i | \(0.154490\pi\) | |||||||
\(264\) | 3.01109 | 0.185320 | ||||||||
\(265\) | −2.53122 | − | 2.36120i | −0.155491 | − | 0.145048i | ||||
\(266\) | 8.45934 | − | 12.3696i | 0.518675 | − | 0.758426i | ||||
\(267\) | 29.3132 | − | 18.4187i | 1.79394 | − | 1.12720i | ||||
\(268\) | −8.39032 | − | 13.3531i | −0.512521 | − | 0.815672i | ||||
\(269\) | 8.61694 | − | 10.8053i | 0.525384 | − | 0.658811i | −0.446359 | − | 0.894854i | \(-0.647279\pi\) |
0.971742 | + | 0.236044i | \(0.0758508\pi\) | |||||||
\(270\) | −11.9575 | + | 10.2349i | −0.727707 | + | 0.622876i | ||||
\(271\) | −3.79400 | − | 0.865955i | −0.230469 | − | 0.0526030i | 0.105727 | − | 0.994395i | \(-0.466283\pi\) |
−0.336195 | + | 0.941792i | \(0.609140\pi\) | |||||||
\(272\) | 1.05644 | + | 1.68132i | 0.0640564 | + | 0.101945i | ||||
\(273\) | 43.6533 | − | 32.1214i | 2.64202 | − | 1.94407i | ||||
\(274\) | −8.14746 | + | 1.85961i | −0.492206 | + | 0.112343i | ||||
\(275\) | 4.81817 | + | 1.92068i | 0.290547 | + | 0.115821i | ||||
\(276\) | − | 21.9792i | − | 1.32299i | ||||||
\(277\) | −0.896017 | + | 1.42600i | −0.0538365 | + | 0.0856802i | −0.872558 | − | 0.488511i | \(-0.837540\pi\) |
0.818722 | + | 0.574191i | \(0.194683\pi\) | |||||||
\(278\) | 3.76524 | + | 10.7604i | 0.225824 | + | 0.645368i | ||||
\(279\) | 1.50065 | − | 1.88175i | 0.0898414 | − | 0.112658i | ||||
\(280\) | −3.16802 | + | 4.99636i | −0.189325 | + | 0.298590i | ||||
\(281\) | 15.6285 | + | 19.5975i | 0.932319 | + | 1.16909i | 0.985358 | + | 0.170499i | \(0.0545380\pi\) |
−0.0530384 | + | 0.998592i | \(0.516891\pi\) | |||||||
\(282\) | 20.1364 | − | 32.0469i | 1.19911 | − | 1.90836i | ||||
\(283\) | 0.0464916 | − | 0.412624i | 0.00276364 | − | 0.0245280i | −0.992255 | − | 0.124220i | \(-0.960357\pi\) |
0.995018 | + | 0.0996920i | \(0.0317857\pi\) | |||||||
\(284\) | −4.91780 | + | 10.2119i | −0.291818 | + | 0.605966i | ||||
\(285\) | −36.6514 | − | 2.84484i | −2.17104 | − | 0.168514i | ||||
\(286\) | 3.17655 | + | 6.59617i | 0.187833 | + | 0.390040i | ||||
\(287\) | −0.722133 | + | 18.5886i | −0.0426262 | + | 1.09725i | ||||
\(288\) | 5.12062 | − | 1.79178i | 0.301735 | − | 0.105582i | ||||
\(289\) | −5.66525 | − | 11.7640i | −0.333250 | − | 0.692001i | ||||
\(290\) | −3.04683 | − | 7.82442i | −0.178916 | − | 0.459466i | ||||
\(291\) | −7.80171 | + | 3.75711i | −0.457344 | + | 0.220245i | ||||
\(292\) | −0.463949 | − | 0.0522745i | −0.0271506 | − | 0.00305914i | ||||
\(293\) | −15.8272 | − | 15.8272i | −0.924632 | − | 0.924632i | 0.0727200 | − | 0.997352i | \(-0.476832\pi\) |
−0.997352 | + | 0.0727200i | \(0.976832\pi\) | |||||||
\(294\) | −20.0998 | + | 2.97084i | −1.17224 | + | 0.173263i | ||||
\(295\) | 8.73055 | + | 1.67601i | 0.508312 | + | 0.0975811i | ||||
\(296\) | 2.36396 | + | 2.96432i | 0.137403 | + | 0.172297i | ||||
\(297\) | 2.41171 | − | 6.89228i | 0.139942 | − | 0.399931i | ||||
\(298\) | −8.41248 | − | 13.3884i | −0.487322 | − | 0.775568i | ||||
\(299\) | 48.1482 | − | 23.1870i | 2.78448 | − | 1.34094i | ||||
\(300\) | 14.4997 | + | 0.619917i | 0.837142 | + | 0.0357909i | ||||
\(301\) | −13.1079 | − | 1.99485i | −0.755526 | − | 0.114981i | ||||
\(302\) | −1.58057 | − | 0.553066i | −0.0909518 | − | 0.0318254i | ||||
\(303\) | −0.519017 | − | 4.60641i | −0.0298168 | − | 0.264631i | ||||
\(304\) | 5.10309 | + | 2.45752i | 0.292682 | + | 0.140948i | ||||
\(305\) | 4.64607 | − | 2.43971i | 0.266033 | − | 0.139697i | ||||
\(306\) | 10.5023 | − | 2.39709i | 0.600378 | − | 0.137032i | ||||
\(307\) | 7.18990 | + | 0.810108i | 0.410349 | + | 0.0462353i | 0.314727 | − | 0.949182i | \(-0.398087\pi\) |
0.0956228 | + | 0.995418i | \(0.469516\pi\) | |||||||
\(308\) | 0.106544 | − | 2.74257i | 0.00607091 | − | 0.156273i | ||||
\(309\) | 12.2952 | + | 9.80511i | 0.699450 | + | 0.557793i | ||||
\(310\) | −0.981353 | + | 0.145243i | −0.0557371 | + | 0.00824922i | ||||
\(311\) | 2.71404 | − | 0.619463i | 0.153899 | − | 0.0351265i | −0.144877 | − | 0.989450i | \(-0.546279\pi\) |
0.298776 | + | 0.954323i | \(0.403422\pi\) | |||||||
\(312\) | 14.4849 | + | 14.4849i | 0.820049 | + | 0.820049i | ||||
\(313\) | −14.2375 | − | 14.2375i | −0.804751 | − | 0.804751i | 0.179083 | − | 0.983834i | \(-0.442687\pi\) |
−0.983834 | + | 0.179083i | \(0.942687\pi\) | |||||||
\(314\) | −0.517419 | − | 2.26696i | −0.0291996 | − | 0.127932i | ||||
\(315\) | 19.9081 | + | 25.1746i | 1.12169 | + | 1.41843i | ||||
\(316\) | −1.23132 | + | 5.39477i | −0.0692672 | + | 0.303479i | ||||
\(317\) | 2.03376 | − | 1.27790i | 0.114227 | − | 0.0717738i | −0.473707 | − | 0.880683i | \(-0.657084\pi\) |
0.587934 | + | 0.808909i | \(0.299941\pi\) | |||||||
\(318\) | 4.46512 | − | 0.503098i | 0.250391 | − | 0.0282123i | ||||
\(319\) | 3.04561 | + | 2.42879i | 0.170521 | + | 0.135986i | ||||
\(320\) | −2.04711 | − | 0.899642i | −0.114437 | − | 0.0502915i | ||||
\(321\) | −45.6465 | − | 10.4185i | −2.54774 | − | 0.581504i | ||||
\(322\) | −20.0192 | − | 0.777709i | −1.11563 | − | 0.0433400i | ||||
\(323\) | 9.52301 | + | 5.98371i | 0.529875 | + | 0.332942i | ||||
\(324\) | − | 4.15605i | − | 0.230892i | ||||||
\(325\) | 13.9385 | + | 32.4175i | 0.773169 | + | 1.79820i | ||||
\(326\) | 2.62201 | + | 11.4878i | 0.145220 | + | 0.636249i | ||||
\(327\) | 12.6800 | − | 4.43692i | 0.701205 | − | 0.245362i | ||||
\(328\) | −6.98692 | + | 0.787237i | −0.385788 | + | 0.0434679i | ||||
\(329\) | −28.4766 | − | 19.4747i | −1.56997 | − | 1.07367i | ||||
\(330\) | −5.96110 | + | 3.13025i | −0.328148 | + | 0.172314i | ||||
\(331\) | 5.63249 | + | 24.6775i | 0.309590 | + | 1.35640i | 0.855172 | + | 0.518344i | \(0.173451\pi\) |
−0.545583 | + | 0.838057i | \(0.683692\pi\) | |||||||
\(332\) | −5.88584 | − | 0.663175i | −0.323027 | − | 0.0363964i | ||||
\(333\) | 19.4148 | − | 6.79354i | 1.06393 | − | 0.372284i | ||||
\(334\) | 5.25170 | − | 6.58543i | 0.287360 | − | 0.360339i | ||||
\(335\) | 30.4920 | + | 17.7131i | 1.66596 | + | 0.967768i | ||||
\(336\) | −2.25310 | − | 7.34159i | −0.122917 | − | 0.400517i | ||||
\(337\) | −9.34946 | − | 26.7192i | −0.509298 | − | 1.45549i | −0.855734 | − | 0.517416i | \(-0.826894\pi\) |
0.346437 | − | 0.938073i | \(-0.387392\pi\) | |||||||
\(338\) | −12.1566 | + | 34.7416i | −0.661232 | + | 1.88969i | ||||
\(339\) | −4.78651 | + | 20.9711i | −0.259968 | + | 1.13899i | ||||
\(340\) | −3.83932 | − | 2.23029i | −0.208217 | − | 0.120955i | ||||
\(341\) | 0.359828 | − | 0.286953i | 0.0194858 | − | 0.0155394i | ||||
\(342\) | 21.7276 | − | 21.7276i | 1.17490 | − | 1.17490i | ||||
\(343\) | 1.99471 | + | 18.4125i | 0.107704 | + | 0.994183i | ||||
\(344\) | − | 5.01136i | − | 0.270195i | ||||||
\(345\) | 22.8490 | + | 43.5126i | 1.23015 | + | 2.34264i | ||||
\(346\) | 0.257904 | + | 0.535544i | 0.0138650 | + | 0.0287910i | ||||
\(347\) | −1.10538 | + | 0.694557i | −0.0593400 | + | 0.0372858i | −0.561375 | − | 0.827561i | \(-0.689728\pi\) |
0.502035 | + | 0.864847i | \(0.332585\pi\) | |||||||
\(348\) | 10.2879 | + | 3.59991i | 0.551492 | + | 0.192975i | ||||
\(349\) | −24.9194 | − | 12.0006i | −1.33391 | − | 0.642376i | −0.375246 | − | 0.926925i | \(-0.622442\pi\) |
−0.958661 | + | 0.284550i | \(0.908156\pi\) | |||||||
\(350\) | 1.07769 | − | 13.1848i | 0.0576051 | − | 0.704756i | ||||
\(351\) | 44.7572 | − | 21.5539i | 2.38896 | − | 1.15046i | ||||
\(352\) | 1.03085 | − | 0.116149i | 0.0549447 | − | 0.00619078i | ||||
\(353\) | −0.354585 | − | 1.01335i | −0.0188727 | − | 0.0539350i | 0.934062 | − | 0.357112i | \(-0.116238\pi\) |
−0.952934 | + | 0.303177i | \(0.901953\pi\) | |||||||
\(354\) | −9.02224 | + | 7.19500i | −0.479527 | + | 0.382410i | ||||
\(355\) | −0.880188 | − | 25.3291i | −0.0467155 | − | 1.34433i | ||||
\(356\) | 9.32497 | − | 7.43642i | 0.494222 | − | 0.394129i | ||||
\(357\) | −2.81358 | − | 14.9873i | −0.148910 | − | 0.793212i | ||||
\(358\) | 1.95006 | + | 17.3072i | 0.103064 | + | 0.914716i | ||||
\(359\) | 6.71528 | − | 13.9444i | 0.354419 | − | 0.735959i | −0.645187 | − | 0.764025i | \(-0.723221\pi\) |
0.999606 | + | 0.0280659i | \(0.00893484\pi\) | |||||||
\(360\) | −8.27469 | + | 8.87049i | −0.436115 | + | 0.467516i | ||||
\(361\) | 13.0809 | 0.688469 | ||||||||
\(362\) | 4.94003 | − | 4.94003i | 0.259642 | − | 0.259642i | ||||
\(363\) | −15.3251 | + | 24.3898i | −0.804361 | + | 1.28013i | ||||
\(364\) | 13.7058 | − | 12.6807i | 0.718379 | − | 0.664651i | ||||
\(365\) | 0.972832 | − | 0.378821i | 0.0509204 | − | 0.0198284i | ||||
\(366\) | −1.51579 | + | 6.64112i | −0.0792317 | + | 0.347137i | ||||
\(367\) | −3.42540 | − | 30.4013i | −0.178804 | − | 1.58693i | −0.687629 | − | 0.726063i | \(-0.741348\pi\) |
0.508824 | − | 0.860870i | \(-0.330080\pi\) | |||||||
\(368\) | −0.847823 | − | 7.52464i | −0.0441958 | − | 0.392249i | ||||
\(369\) | −8.48790 | + | 37.1879i | −0.441862 | + | 1.93593i | ||||
\(370\) | −7.76161 | − | 3.41099i | −0.403507 | − | 0.177329i | ||||
\(371\) | −0.300241 | − | 4.08474i | −0.0155877 | − | 0.212069i | ||||
\(372\) | 0.685124 | − | 1.09037i | 0.0355221 | − | 0.0565330i | ||||
\(373\) | 8.79315 | − | 8.79315i | 0.455292 | − | 0.455292i | −0.441814 | − | 0.897106i | \(-0.645665\pi\) |
0.897106 | + | 0.441814i | \(0.145665\pi\) | |||||||
\(374\) | 2.05990 | 0.106515 | ||||||||
\(375\) | −29.3498 | + | 13.8463i | −1.51562 | + | 0.715019i | ||||
\(376\) | 5.65758 | − | 11.7481i | 0.291768 | − | 0.605862i | ||||
\(377\) | 2.96722 | + | 26.3348i | 0.152820 | + | 1.35631i | ||||
\(378\) | −18.6093 | − | 0.722936i | −0.957158 | − | 0.0371838i | ||||
\(379\) | −0.830605 | + | 0.662386i | −0.0426653 | + | 0.0340245i | −0.644590 | − | 0.764528i | \(-0.722972\pi\) |
0.601925 | + | 0.798553i | \(0.294401\pi\) | |||||||
\(380\) | −12.6575 | + | 0.439847i | −0.649314 | + | 0.0225637i | ||||
\(381\) | 35.6937 | − | 28.4648i | 1.82865 | − | 1.45830i | ||||
\(382\) | 6.78766 | + | 19.3980i | 0.347287 | + | 0.992488i | ||||
\(383\) | 15.9965 | − | 1.80238i | 0.817384 | − | 0.0920971i | 0.306635 | − | 0.951827i | \(-0.400797\pi\) |
0.510749 | + | 0.859730i | \(0.329368\pi\) | |||||||
\(384\) | 2.61515 | − | 1.25939i | 0.133454 | − | 0.0642679i | ||||
\(385\) | 2.64018 | + | 5.54028i | 0.134556 | + | 0.282359i | ||||
\(386\) | 9.52863 | + | 4.58875i | 0.484995 | + | 0.233561i | ||||
\(387\) | −25.6613 | − | 8.97927i | −1.30444 | − | 0.456442i | ||||
\(388\) | −2.52601 | + | 1.58720i | −0.128239 | + | 0.0805778i | ||||
\(389\) | 2.88580 | + | 5.99243i | 0.146316 | + | 0.303828i | 0.961227 | − | 0.275757i | \(-0.0889286\pi\) |
−0.814911 | + | 0.579586i | \(0.803214\pi\) | |||||||
\(390\) | −43.7343 | − | 13.6179i | −2.21457 | − | 0.689571i | ||||
\(391\) | − | 15.0361i | − | 0.760406i | ||||||
\(392\) | −6.76663 | + | 1.79241i | −0.341766 | + | 0.0905301i | ||||
\(393\) | −20.9155 | + | 20.9155i | −1.05505 | + | 1.05505i | ||||
\(394\) | −3.19630 | + | 2.54897i | −0.161027 | + | 0.128415i | ||||
\(395\) | −3.17059 | − | 11.9602i | −0.159530 | − | 0.601782i | ||||
\(396\) | 1.25231 | − | 5.48673i | 0.0629309 | − | 0.275718i | ||||
\(397\) | 1.40370 | − | 4.01154i | 0.0704497 | − | 0.201334i | −0.903275 | − | 0.429062i | \(-0.858844\pi\) |
0.973725 | + | 0.227728i | \(0.0731299\pi\) | |||||||
\(398\) | −1.09253 | − | 3.12227i | −0.0547635 | − | 0.156505i | ||||
\(399\) | −29.5398 | − | 31.9278i | −1.47884 | − | 1.59839i | ||||
\(400\) | 4.98794 | − | 0.347081i | 0.249397 | − | 0.0173540i | ||||
\(401\) | −11.3998 | + | 14.2949i | −0.569278 | + | 0.713852i | −0.980243 | − | 0.197799i | \(-0.936621\pi\) |
0.410965 | + | 0.911651i | \(0.365192\pi\) | |||||||
\(402\) | −43.2062 | + | 15.1185i | −2.15493 | + | 0.754042i | ||||
\(403\) | 3.11137 | + | 0.350567i | 0.154988 | + | 0.0174630i | ||||
\(404\) | −0.355374 | − | 1.55700i | −0.0176805 | − | 0.0774635i | ||||
\(405\) | 4.32052 | + | 8.22781i | 0.214688 | + | 0.408843i | ||||
\(406\) | 3.64292 | − | 9.24315i | 0.180795 | − | 0.458730i | ||||
\(407\) | 3.90849 | − | 0.440381i | 0.193736 | − | 0.0218289i | ||||
\(408\) | 5.44019 | − | 1.90360i | 0.269329 | − | 0.0942424i | ||||
\(409\) | 5.17323 | + | 22.6654i | 0.255800 | + | 1.12073i | 0.925694 | + | 0.378274i | \(0.123482\pi\) |
−0.669894 | + | 0.742457i | \(0.733660\pi\) | |||||||
\(410\) | 13.0137 | − | 8.82193i | 0.642703 | − | 0.435684i | ||||
\(411\) | 24.2570i | 1.19651i | ||||||||
\(412\) | 4.58753 | + | 2.88253i | 0.226011 | + | 0.142012i | ||||
\(413\) | 6.23415 | + | 8.47228i | 0.306762 | + | 0.416893i | ||||
\(414\) | −40.0499 | − | 9.14113i | −1.96835 | − | 0.449262i | ||||
\(415\) | 12.3417 | − | 4.80587i | 0.605831 | − | 0.235911i | ||||
\(416\) | 5.51771 | + | 4.40023i | 0.270528 | + | 0.215739i | ||||
\(417\) | 32.8820 | − | 3.70491i | 1.61024 | − | 0.181430i | ||||
\(418\) | 4.97510 | − | 3.12606i | 0.243340 | − | 0.152901i | ||||
\(419\) | −6.67951 | + | 29.2649i | −0.326316 | + | 1.42968i | 0.499780 | + | 0.866152i | \(0.333414\pi\) |
−0.826096 | + | 0.563530i | \(0.809443\pi\) | |||||||
\(420\) | 12.0926 | + | 12.1920i | 0.590060 | + | 0.594909i | ||||
\(421\) | 1.40781 | + | 6.16803i | 0.0686126 | + | 0.300611i | 0.997578 | − | 0.0695549i | \(-0.0221579\pi\) |
−0.928966 | + | 0.370166i | \(0.879301\pi\) | |||||||
\(422\) | 6.38179 | + | 6.38179i | 0.310661 | + | 0.310661i | ||||
\(423\) | −50.0203 | − | 50.0203i | −2.43207 | − | 2.43207i | ||||
\(424\) | 1.50924 | − | 0.344474i | 0.0732952 | − | 0.0167291i | ||||
\(425\) | 9.91933 | + | 0.424088i | 0.481158 | + | 0.0205713i | ||||
\(426\) | 25.7215 | + | 20.5122i | 1.24621 | + | 0.993821i | ||||
\(427\) | 5.99526 | + | 1.61561i | 0.290131 | + | 0.0781849i | ||||
\(428\) | −16.0291 | − | 1.80604i | −0.774795 | − | 0.0872985i | ||||
\(429\) | 20.7177 | − | 4.72868i | 1.00026 | − | 0.228303i | ||||
\(430\) | 5.20968 | + | 9.92109i | 0.251233 | + | 0.478437i | ||||
\(431\) | −8.36867 | − | 4.03014i | −0.403105 | − | 0.194125i | 0.221335 | − | 0.975198i | \(-0.428958\pi\) |
−0.624440 | + | 0.781073i | \(0.714673\pi\) | |||||||
\(432\) | −0.788112 | − | 6.99469i | −0.0379181 | − | 0.336532i | ||||
\(433\) | −36.8601 | − | 12.8979i | −1.77138 | − | 0.619833i | −0.771516 | − | 0.636210i | \(-0.780501\pi\) |
−0.999866 | + | 0.0163769i | \(0.994787\pi\) | |||||||
\(434\) | −0.968894 | − | 0.662610i | −0.0465084 | − | 0.0318063i | ||||
\(435\) | −24.1096 | + | 3.56828i | −1.15597 | + | 0.171086i | ||||
\(436\) | 4.16988 | − | 2.00811i | 0.199701 | − | 0.0961710i | ||||
\(437\) | −22.8184 | − | 36.3153i | −1.09155 | − | 1.73720i | ||||
\(438\) | −0.447587 | + | 1.27913i | −0.0213865 | + | 0.0611192i | ||||
\(439\) | 3.90212 | + | 4.89311i | 0.186238 | + | 0.233535i | 0.866182 | − | 0.499729i | \(-0.166567\pi\) |
−0.679943 | + | 0.733265i | \(0.737996\pi\) | |||||||
\(440\) | −1.92006 | + | 1.30159i | −0.0915351 | + | 0.0620510i | ||||
\(441\) | −2.94610 | + | 37.8609i | −0.140291 | + | 1.80290i | ||||
\(442\) | 9.90922 | + | 9.90922i | 0.471334 | + | 0.471334i | ||||
\(443\) | −17.0806 | − | 1.92452i | −0.811523 | − | 0.0914367i | −0.303557 | − | 0.952813i | \(-0.598174\pi\) |
−0.507967 | + | 0.861377i | \(0.669603\pi\) | |||||||
\(444\) | 9.91533 | − | 4.77497i | 0.470561 | − | 0.226610i | ||||
\(445\) | −10.7301 | + | 24.4160i | −0.508656 | + | 1.15743i | ||||
\(446\) | 0.209931 | + | 0.435927i | 0.00994054 | + | 0.0206417i | ||||
\(447\) | −43.3202 | + | 15.1584i | −2.04898 | + | 0.716968i | ||||
\(448\) | −1.05455 | − | 2.42650i | −0.0498228 | − | 0.114642i | ||||
\(449\) | −5.95371 | − | 12.3630i | −0.280973 | − | 0.583446i | 0.711947 | − | 0.702233i | \(-0.247814\pi\) |
−0.992920 | + | 0.118787i | \(0.962099\pi\) | |||||||
\(450\) | 7.16003 | − | 26.1632i | 0.337527 | − | 1.23335i | ||||
\(451\) | −3.16472 | + | 6.57161i | −0.149021 | + | 0.309445i | ||||
\(452\) | −0.829740 | + | 7.36415i | −0.0390277 | + | 0.346380i | ||||
\(453\) | −2.58595 | + | 4.11552i | −0.121499 | + | 0.193364i | ||||
\(454\) | −5.20184 | − | 6.52290i | −0.244134 | − | 0.306135i | ||||
\(455\) | −13.9511 | + | 39.3525i | −0.654036 | + | 1.84487i | ||||
\(456\) | 10.2504 | − | 12.8535i | 0.480017 | − | 0.601922i | ||||
\(457\) | 9.65365 | + | 27.5885i | 0.451579 | + | 1.29054i | 0.914661 | + | 0.404222i | \(0.132458\pi\) |
−0.463082 | + | 0.886315i | \(0.653256\pi\) | |||||||
\(458\) | −3.08390 | + | 4.90800i | −0.144101 | + | 0.229336i | ||||
\(459\) | − | 13.9771i | − | 0.652395i | ||||||
\(460\) | 9.50087 | + | 14.0153i | 0.442980 | + | 0.653466i | ||||
\(461\) | −7.50827 | + | 1.71371i | −0.349695 | + | 0.0798156i | −0.393761 | − | 0.919213i | \(-0.628826\pi\) |
0.0440655 | + | 0.999029i | \(0.485969\pi\) | |||||||
\(462\) | −7.69217 | − | 2.07290i | −0.357872 | − | 0.0964398i | ||||
\(463\) | 13.1197 | + | 20.8799i | 0.609726 | + | 0.970373i | 0.998791 | + | 0.0491630i | \(0.0156554\pi\) |
−0.389065 | + | 0.921210i | \(0.627202\pi\) | |||||||
\(464\) | 3.66097 | + | 0.835593i | 0.169956 | + | 0.0387915i | ||||
\(465\) | −0.222834 | + | 2.87086i | −0.0103337 | + | 0.133133i | ||||
\(466\) | −2.73615 | + | 3.43103i | −0.126750 | + | 0.158939i | ||||
\(467\) | −16.3166 | − | 25.9678i | −0.755044 | − | 1.20165i | −0.974141 | − | 0.225943i | \(-0.927454\pi\) |
0.219096 | − | 0.975703i | \(-0.429689\pi\) | |||||||
\(468\) | 32.4184 | − | 20.3698i | 1.49854 | − | 0.941596i | ||||
\(469\) | 12.2415 | + | 39.8882i | 0.565260 | + | 1.84187i | ||||
\(470\) | 1.01259 | + | 29.1394i | 0.0467075 | + | 1.34410i | ||||
\(471\) | −6.74928 | −0.310991 | ||||||||
\(472\) | −2.81125 | + | 2.81125i | −0.129398 | + | 0.129398i | ||||
\(473\) | −4.40184 | − | 2.76586i | −0.202397 | − | 0.127174i | ||||
\(474\) | 14.4709 | + | 6.96883i | 0.664672 | + | 0.320089i | ||||
\(475\) | 24.6009 | − | 14.0291i | 1.12877 | − | 0.643701i | ||||
\(476\) | −1.54136 | − | 5.02242i | −0.0706479 | − | 0.230202i | ||||
\(477\) | 0.940308 | − | 8.34546i | 0.0430537 | − | 0.382112i | ||||
\(478\) | −11.5685 | − | 7.26897i | −0.529131 | − | 0.332475i | ||||
\(479\) | −16.0129 | − | 20.0796i | −0.731650 | − | 0.917460i | 0.267284 | − | 0.963618i | \(-0.413874\pi\) |
−0.998934 | + | 0.0461576i | \(0.985302\pi\) | |||||||
\(480\) | −3.86803 | + | 5.21187i | −0.176550 | + | 0.237888i | ||||
\(481\) | 20.9204 | + | 16.6835i | 0.953888 | + | 0.760700i | ||||
\(482\) | −5.79646 | + | 16.5653i | −0.264021 | + | 0.754530i | ||||
\(483\) | −15.1309 | + | 56.1484i | −0.688481 | + | 2.55484i | ||||
\(484\) | −4.30580 | + | 8.94108i | −0.195718 | + | 0.406413i | ||||
\(485\) | 3.35078 | − | 5.76819i | 0.152151 | − | 0.261920i | ||||
\(486\) | 8.82653 | + | 2.01460i | 0.400379 | + | 0.0913840i | ||||
\(487\) | 33.4989 | + | 11.7218i | 1.51798 | + | 0.531164i | 0.955332 | − | 0.295533i | \(-0.0954973\pi\) |
0.562647 | + | 0.826697i | \(0.309783\pi\) | |||||||
\(488\) | −0.262762 | + | 2.33208i | −0.0118947 | + | 0.105568i | ||||
\(489\) | 34.2019 | 1.54666 | ||||||||
\(490\) | 11.5327 | − | 10.5829i | 0.520994 | − | 0.478085i | ||||
\(491\) | −20.7197 | −0.935069 | −0.467534 | − | 0.883975i | \(-0.654858\pi\) | ||||
−0.467534 | + | 0.883975i | \(0.654858\pi\) | |||||||
\(492\) | −2.28503 | + | 20.2802i | −0.103017 | + | 0.914302i | ||||
\(493\) | 7.03804 | + | 2.46272i | 0.316977 | + | 0.110915i | ||||
\(494\) | 38.9710 | + | 8.89487i | 1.75339 | + | 0.400199i | ||||
\(495\) | 3.22464 | + | 12.1640i | 0.144937 | + | 0.546733i | ||||
\(496\) | 0.192495 | − | 0.399719i | 0.00864327 | − | 0.0179479i | ||||
\(497\) | 19.5932 | − | 22.7020i | 0.878875 | − | 1.01833i | ||||
\(498\) | −5.67826 | + | 16.2275i | −0.254449 | + | 0.727173i | ||||
\(499\) | −32.2017 | − | 25.6800i | −1.44155 | − | 1.14959i | −0.962325 | − | 0.271901i | \(-0.912348\pi\) |
−0.479221 | − | 0.877694i | \(-0.659081\pi\) | |||||||
\(500\) | −9.51390 | + | 5.87246i | −0.425474 | + | 0.262624i | ||||
\(501\) | −15.2436 | − | 19.1148i | −0.681032 | − | 0.853988i | ||||
\(502\) | 12.7361 | + | 8.00263i | 0.568441 | + | 0.357175i | ||||
\(503\) | −2.54816 | + | 22.6156i | −0.113617 | + | 1.00838i | 0.799496 | + | 0.600671i | \(0.205100\pi\) |
−0.913113 | + | 0.407707i | \(0.866329\pi\) | |||||||
\(504\) | −14.3147 | + | 1.05218i | −0.637629 | + | 0.0468676i | ||||
\(505\) | 2.32215 | + | 2.71298i | 0.103335 | + | 0.120726i | ||||
\(506\) | −7.07736 | − | 3.40828i | −0.314627 | − | 0.151516i | ||||
\(507\) | 90.4607 | + | 56.8402i | 4.01750 | + | 2.52436i | ||||
\(508\) | 11.1219 | − | 11.1219i | 0.493453 | − | 0.493453i | ||||
\(509\) | −37.3435 | −1.65522 | −0.827611 | − | 0.561303i | \(-0.810300\pi\) | ||||
−0.827611 | + | 0.561303i | \(0.810300\pi\) | |||||||
\(510\) | −8.79110 | + | 9.42408i | −0.389276 | + | 0.417305i | ||||
\(511\) | 1.14923 | + | 0.452934i | 0.0508388 | + | 0.0200366i | ||||
\(512\) | 0.846724 | − | 0.532032i | 0.0374203 | − | 0.0235127i | ||||
\(513\) | −21.2114 | − | 33.7577i | −0.936505 | − | 1.49044i | ||||
\(514\) | 3.58680 | − | 4.49771i | 0.158207 | − | 0.198385i | ||||
\(515\) | −12.0786 | − | 0.937531i | −0.532248 | − | 0.0413125i | ||||
\(516\) | −14.1813 | − | 3.23678i | −0.624295 | − | 0.142491i | ||||
\(517\) | −7.19668 | − | 11.4535i | −0.316510 | − | 0.503722i | ||||
\(518\) | −3.99832 | − | 9.20010i | −0.175676 | − | 0.404229i | ||||
\(519\) | 1.68207 | − | 0.383922i | 0.0738347 | − | 0.0168523i | ||||
\(520\) | −15.4979 | − | 2.97514i | −0.679627 | − | 0.130468i | ||||
\(521\) | − | 28.0281i | − | 1.22793i | −0.789333 | − | 0.613966i | \(-0.789573\pi\) | ||
0.789333 | − | 0.613966i | \(-0.210427\pi\) | |||||||
\(522\) | 10.8384 | − | 17.2492i | 0.474385 | − | 0.754979i | ||||
\(523\) | −6.47403 | − | 18.5017i | −0.283090 | − | 0.809024i | −0.994355 | − | 0.106101i | \(-0.966163\pi\) |
0.711266 | − | 0.702923i | \(-0.248122\pi\) | |||||||
\(524\) | −6.35369 | + | 7.96727i | −0.277562 | + | 0.348052i | ||||
\(525\) | −36.6145 | − | 11.5656i | −1.59799 | − | 0.504763i | ||||
\(526\) | −5.97719 | − | 7.49516i | −0.260618 | − | 0.326805i | ||||
\(527\) | 0.468697 | − | 0.745927i | 0.0204168 | − | 0.0324931i | ||||
\(528\) | 0.337135 | − | 2.99215i | 0.0146719 | − | 0.130217i | ||||
\(529\) | −14.8991 | + | 30.9383i | −0.647787 | + | 1.34514i | ||||
\(530\) | −2.62976 | + | 2.25093i | −0.114230 | + | 0.0977741i | ||||
\(531\) | 9.35820 | + | 19.4325i | 0.406111 | + | 0.843299i | ||||
\(532\) | −11.3446 | − | 9.79110i | −0.491852 | − | 0.424498i | ||||
\(533\) | −46.8370 | + | 16.3890i | −2.02874 | + | 0.709886i | ||||
\(534\) | −15.0208 | − | 31.1911i | −0.650015 | − | 1.34977i | ||||
\(535\) | 33.6106 | − | 13.0880i | 1.45311 | − | 0.565842i | ||||
\(536\) | −14.2086 | + | 6.84249i | −0.613717 | + | 0.295551i | ||||
\(537\) | 50.2359 | + | 5.66023i | 2.16784 | + | 0.244257i | ||||
\(538\) | −9.77257 | − | 9.77257i | −0.421325 | − | 0.421325i | ||||
\(539\) | −2.16023 | + | 6.93288i | −0.0930475 | + | 0.298620i | ||||
\(540\) | 8.83174 | + | 13.0282i | 0.380058 | + | 0.560645i | ||||
\(541\) | −16.5272 | − | 20.7245i | −0.710562 | − | 0.891016i | 0.287201 | − | 0.957870i | \(-0.407275\pi\) |
−0.997763 | + | 0.0668543i | \(0.978704\pi\) | |||||||
\(542\) | −1.28530 | + | 3.67318i | −0.0552085 | + | 0.157777i | ||||
\(543\) | −10.7887 | − | 17.1701i | −0.462987 | − | 0.736840i | ||||
\(544\) | 1.78903 | − | 0.861554i | 0.0767042 | − | 0.0369388i | ||||
\(545\) | −6.16761 | + | 8.31039i | −0.264192 | + | 0.355978i | ||||
\(546\) | −27.0318 | − | 46.9753i | −1.15685 | − | 2.01036i | ||||
\(547\) | −25.9174 | − | 9.06890i | −1.10815 | − | 0.387758i | −0.286689 | − | 0.958024i | \(-0.592554\pi\) |
−0.821460 | + | 0.570266i | \(0.806840\pi\) | |||||||
\(548\) | 0.935686 | + | 8.30444i | 0.0399705 | + | 0.354748i | ||||
\(549\) | 11.4709 | + | 5.52408i | 0.489564 | + | 0.235762i | ||||
\(550\) | 2.44807 | − | 4.57283i | 0.104386 | − | 0.194986i | ||||
\(551\) | 20.7358 | − | 4.73280i | 0.883373 | − | 0.201624i | ||||
\(552\) | −21.8410 | − | 2.46089i | −0.929613 | − | 0.104742i | ||||
\(553\) | 6.85943 | − | 12.9339i | 0.291693 | − | 0.550006i | ||||
\(554\) | 1.31671 | + | 1.05004i | 0.0559418 | + | 0.0446121i | ||||
\(555\) | −14.6656 | + | 19.7608i | −0.622521 | + | 0.838801i | ||||
\(556\) | 11.1144 | − | 2.53678i | 0.471353 | − | 0.107583i | ||||
\(557\) | −9.78790 | − | 9.78790i | −0.414727 | − | 0.414727i | 0.468655 | − | 0.883381i | \(-0.344739\pi\) |
−0.883381 | + | 0.468655i | \(0.844739\pi\) | |||||||
\(558\) | −1.70190 | − | 1.70190i | −0.0720472 | − | 0.0720472i | ||||
\(559\) | −7.86996 | − | 34.4805i | −0.332864 | − | 1.45837i | ||||
\(560\) | 4.61024 | + | 3.70751i | 0.194818 | + | 0.156671i | ||||
\(561\) | 1.33046 | − | 5.82914i | 0.0561722 | − | 0.246107i | ||||
\(562\) | 21.2242 | − | 13.3360i | 0.895287 | − | 0.562546i | ||||
\(563\) | 22.3414 | − | 2.51727i | 0.941577 | − | 0.106090i | 0.372187 | − | 0.928158i | \(-0.378608\pi\) |
0.569390 | + | 0.822068i | \(0.307180\pi\) | |||||||
\(564\) | −29.5908 | − | 23.5979i | −1.24600 | − | 0.993651i | ||||
\(565\) | −6.01293 | − | 15.4415i | −0.252966 | − | 0.649629i | ||||
\(566\) | −0.404824 | − | 0.0923985i | −0.0170160 | − | 0.00388380i | ||||
\(567\) | −2.86111 | + | 10.6171i | −0.120155 | + | 0.445877i | ||||
\(568\) | 9.59709 | + | 6.03025i | 0.402685 | + | 0.253024i | ||||
\(569\) | − | 18.3444i | − | 0.769036i | −0.923118 | − | 0.384518i | \(-0.874368\pi\) | ||
0.923118 | − | 0.384518i | \(-0.125632\pi\) | |||||||
\(570\) | −6.93061 | + | 36.1024i | −0.290291 | + | 1.51216i | ||||
\(571\) | 9.77547 | + | 42.8291i | 0.409091 | + | 1.79234i | 0.588422 | + | 0.808554i | \(0.299749\pi\) |
−0.179331 | + | 0.983789i | \(0.557393\pi\) | |||||||
\(572\) | 6.91036 | − | 2.41804i | 0.288937 | − | 0.101103i | ||||
\(573\) | 59.2769 | − | 6.67891i | 2.47633 | − | 0.279015i | ||||
\(574\) | 18.3909 | + | 2.79886i | 0.767620 | + | 0.116822i | ||||
\(575\) | −33.3790 | − | 17.8695i | −1.39200 | − | 0.745208i | ||||
\(576\) | −1.20719 | − | 5.28904i | −0.0502995 | − | 0.220377i | ||||
\(577\) | 34.3756 | + | 3.87320i | 1.43108 | + | 0.161244i | 0.793231 | − | 0.608921i | \(-0.208397\pi\) |
0.637845 | + | 0.770165i | \(0.279826\pi\) | |||||||
\(578\) | −12.3244 | + | 4.31248i | −0.512626 | + | 0.179376i | ||||
\(579\) | 19.1398 | − | 24.0005i | 0.795421 | − | 0.997427i | ||||
\(580\) | −8.11636 | + | 2.15162i | −0.337014 | + | 0.0893410i | ||||
\(581\) | 14.5795 | + | 5.74609i | 0.604861 | + | 0.238388i | ||||
\(582\) | 2.85997 | + | 8.17332i | 0.118549 | + | 0.338795i | ||||
\(583\) | 0.530400 | − | 1.51580i | 0.0219669 | − | 0.0627779i | ||||
\(584\) | −0.103892 | + | 0.455179i | −0.00429907 | + | 0.0188354i | ||||
\(585\) | −43.0034 | + | 74.0279i | −1.77797 | + | 3.06068i | ||||
\(586\) | −17.4997 | + | 13.9556i | −0.722907 | + | 0.576499i | ||||
\(587\) | −9.39941 | + | 9.39941i | −0.387955 | + | 0.387955i | −0.873958 | − | 0.486002i | \(-0.838455\pi\) |
0.486002 | + | 0.873958i | \(0.338455\pi\) | |||||||
\(588\) | 0.701699 | + | 20.3060i | 0.0289376 | + | 0.837407i | ||||
\(589\) | − | 2.51286i | − | 0.103541i | ||||||
\(590\) | 2.64298 | − | 8.48800i | 0.108810 | − | 0.349445i | ||||
\(591\) | 5.14866 | + | 10.6913i | 0.211788 | + | 0.439782i | ||||
\(592\) | 3.21036 | − | 2.01720i | 0.131945 | − | 0.0829064i | ||||
\(593\) | 26.5500 | + | 9.29024i | 1.09028 | + | 0.381504i | 0.814764 | − | 0.579793i | \(-0.196867\pi\) |
0.275513 | + | 0.961297i | \(0.411152\pi\) | |||||||
\(594\) | −6.57892 | − | 3.16824i | −0.269936 | − | 0.129994i | ||||
\(595\) | 8.27263 | + | 8.34062i | 0.339145 | + | 0.341932i | ||||
\(596\) | −14.2461 | + | 6.86056i | −0.583543 | + | 0.281019i | ||||
\(597\) | −9.54111 | + | 1.07502i | −0.390491 | + | 0.0439978i | ||||
\(598\) | −17.6503 | − | 50.4416i | −0.721773 | − | 2.06271i | ||||
\(599\) | −8.04996 | + | 6.41963i | −0.328912 | + | 0.262299i | −0.773996 | − | 0.633190i | \(-0.781745\pi\) |
0.445084 | + | 0.895489i | \(0.353174\pi\) | |||||||
\(600\) | 2.23947 | − | 14.3391i | 0.0914261 | − | 0.585393i | ||||
\(601\) | −5.62153 | + | 4.48302i | −0.229307 | + | 0.182866i | −0.731403 | − | 0.681946i | \(-0.761134\pi\) |
0.502096 | + | 0.864812i | \(0.332563\pi\) | |||||||
\(602\) | −3.44993 | + | 12.8021i | −0.140609 | + | 0.521776i | ||||
\(603\) | 9.57911 | + | 85.0170i | 0.390092 | + | 3.46216i | ||||
\(604\) | −0.726557 | + | 1.50871i | −0.0295632 | + | 0.0613886i | ||||
\(605\) | −0.770651 | − | 22.1770i | −0.0313314 | − | 0.901624i | ||||
\(606\) | −4.63555 | −0.188306 | ||||||||
\(607\) | 11.2441 | − | 11.2441i | 0.456385 | − | 0.456385i | −0.441082 | − | 0.897467i | \(-0.645405\pi\) |
0.897467 | + | 0.441082i | \(0.145405\pi\) | |||||||
\(608\) | 3.01343 | − | 4.79585i | 0.122211 | − | 0.194497i | ||||
\(609\) | −23.8035 | − | 16.2788i | −0.964568 | − | 0.659652i | ||||
\(610\) | −1.90417 | − | 4.89002i | −0.0770977 | − | 0.197991i | ||||
\(611\) | 20.4774 | − | 89.7172i | 0.828426 | − | 3.62957i | ||||
\(612\) | −1.20613 | − | 10.7047i | −0.0487548 | − | 0.432711i | ||||
\(613\) | −1.86020 | − | 16.5097i | −0.0751327 | − | 0.666821i | −0.973676 | − | 0.227936i | \(-0.926802\pi\) |
0.898543 | − | 0.438885i | \(-0.144626\pi\) | |||||||
\(614\) | 1.61003 | − | 7.05399i | 0.0649754 | − | 0.284676i | ||||
\(615\) | −16.5591 | − | 42.5245i | −0.667726 | − | 1.71476i | ||||
\(616\) | −2.71340 | − | 0.412945i | −0.109326 | − | 0.0166380i | ||||
\(617\) | −7.70666 | + | 12.2651i | −0.310259 | + | 0.493774i | −0.965061 | − | 0.262027i | \(-0.915609\pi\) |
0.654802 | + | 0.755800i | \(0.272752\pi\) | |||||||
\(618\) | 11.1201 | − | 11.1201i | 0.447315 | − | 0.447315i | ||||
\(619\) | −46.9773 | −1.88818 | −0.944088 | − | 0.329693i | \(-0.893055\pi\) | ||||
−0.944088 | + | 0.329693i | \(0.893055\pi\) | |||||||
\(620\) | 0.0344527 | + | 0.991444i | 0.00138365 | + | 0.0398174i | ||||
\(621\) | −23.1263 | + | 48.0222i | −0.928026 | + | 1.92707i | ||||
\(622\) | −0.311691 | − | 2.76634i | −0.0124977 | − | 0.110920i | ||||
\(623\) | −28.9411 | + | 12.5777i | −1.15950 | + | 0.503915i | ||||
\(624\) | 16.0157 | − | 12.7721i | 0.641140 | − | 0.511292i | ||||
\(625\) | 12.7300 | − | 21.5162i | 0.509199 | − | 0.860649i | ||||
\(626\) | −15.7421 | + | 12.5539i | −0.629180 | + | 0.501754i | ||||
\(627\) | −5.63284 | − | 16.0977i | −0.224954 | − | 0.642882i | ||||
\(628\) | −2.31064 | + | 0.260346i | −0.0922045 | + | 0.0103890i | ||||
\(629\) | 6.78313 | − | 3.26658i | 0.270461 | − | 0.130247i | ||||
\(630\) | 27.2453 | − | 16.9642i | 1.08548 | − | 0.675871i | ||||
\(631\) | 37.6224 | + | 18.1180i | 1.49773 | + | 0.721267i | 0.990107 | − | 0.140315i | \(-0.0448115\pi\) |
0.507619 | + | 0.861582i | \(0.330526\pi\) | |||||||
\(632\) | 5.22298 | + | 1.82760i | 0.207759 | + | 0.0726981i | ||||
\(633\) | 22.1812 | − | 13.9374i | 0.881625 | − | 0.553962i | ||||
\(634\) | −1.04215 | − | 2.16405i | −0.0413891 | − | 0.0859454i | ||||
\(635\) | −10.4562 | + | 33.5802i | −0.414940 | + | 1.33259i | ||||
\(636\) | − | 4.49337i | − | 0.178174i | ||||||
\(637\) | −43.7428 | + | 22.9591i | −1.73315 | + | 0.909671i | ||||
\(638\) | 2.75452 | − | 2.75452i | 0.109052 | − | 0.109052i | ||||
\(639\) | 48.0745 | − | 38.3381i | 1.90180 | − | 1.51663i | ||||
\(640\) | −1.12319 | + | 1.93351i | −0.0443979 | + | 0.0764286i | ||||
\(641\) | 3.73626 | − | 16.3696i | 0.147574 | − | 0.646562i | −0.845982 | − | 0.533212i | \(-0.820985\pi\) |
0.993555 | − | 0.113350i | \(-0.0361581\pi\) | |||||||
\(642\) | −15.4638 | + | 44.1929i | −0.610307 | + | 1.74416i | ||||
\(643\) | 7.01398 | + | 20.0448i | 0.276604 | + | 0.790490i | 0.995447 | + | 0.0953172i | \(0.0303865\pi\) |
−0.718842 | + | 0.695173i | \(0.755328\pi\) | |||||||
\(644\) | −3.01426 | + | 19.8062i | −0.118778 | + | 0.780475i | ||||
\(645\) | 31.4398 | − | 8.33456i | 1.23794 | − | 0.328173i | ||||
\(646\) | 7.01232 | − | 8.79317i | 0.275896 | − | 0.345963i | ||||
\(647\) | −8.00497 | + | 2.80106i | −0.314708 | + | 0.110121i | −0.483011 | − | 0.875614i | \(-0.660457\pi\) |
0.168303 | + | 0.985735i | \(0.446171\pi\) | |||||||
\(648\) | −4.12992 | − | 0.465330i | −0.162238 | − | 0.0182799i | ||||
\(649\) | 0.917746 | + | 4.02091i | 0.0360247 | + | 0.157834i | ||||
\(650\) | 33.7743 | − | 10.2213i | 1.32474 | − | 0.400910i | ||||
\(651\) | −2.50087 | + | 2.31382i | −0.0980166 | + | 0.0906859i | ||||
\(652\) | 11.7091 | − | 1.31930i | 0.458565 | − | 0.0516678i | ||||
\(653\) | 25.8469 | − | 9.04423i | 1.01147 | − | 0.353928i | 0.226865 | − | 0.973926i | \(-0.427152\pi\) |
0.784603 | + | 0.619998i | \(0.212867\pi\) | |||||||
\(654\) | −2.98931 | − | 13.0970i | −0.116891 | − | 0.512134i | ||||
\(655\) | 4.29594 | − | 22.3781i | 0.167856 | − | 0.874384i | ||||
\(656\) | 7.03113i | 0.274520i | ||||||||
\(657\) | 2.14465 | + | 1.34757i | 0.0836707 | + | 0.0525738i | ||||
\(658\) | −22.5406 | + | 26.1171i | −0.878724 | + | 1.01815i | ||||
\(659\) | −3.53742 | − | 0.807393i | −0.137798 | − | 0.0314516i | 0.153065 | − | 0.988216i | \(-0.451085\pi\) |
−0.290864 | + | 0.956764i | \(0.593943\pi\) | |||||||
\(660\) | 2.44313 | + | 6.27410i | 0.0950988 | + | 0.244219i | ||||
\(661\) | −10.2107 | − | 8.14277i | −0.397151 | − | 0.316717i | 0.404469 | − | 0.914552i | \(-0.367456\pi\) |
−0.801619 | + | 0.597835i | \(0.796028\pi\) | |||||||
\(662\) | 25.1530 | − | 2.83406i | 0.977600 | − | 0.110149i | ||||
\(663\) | 34.4416 | − | 21.6411i | 1.33760 | − | 0.840470i | ||||
\(664\) | −1.31801 | + | 5.77458i | −0.0511487 | + | 0.224097i | ||||
\(665\) | 32.6378 | + | 7.59002i | 1.26564 | + | 0.294328i | ||||
\(666\) | −4.57706 | − | 20.0534i | −0.177357 | − | 0.777053i | ||||
\(667\) | −20.1064 | − | 20.1064i | −0.778522 | − | 0.778522i | ||||
\(668\) | −5.95602 | − | 5.95602i | −0.230445 | − | 0.230445i | ||||
\(669\) | 1.36919 | − | 0.312508i | 0.0529358 | − | 0.0120823i | ||||
\(670\) | 21.0157 | − | 28.3171i | 0.811908 | − | 1.09398i | ||||
\(671\) | 1.90341 | + | 1.51792i | 0.0734803 | + | 0.0585986i | ||||
\(672\) | −7.54769 | + | 1.41693i | −0.291159 | + | 0.0546594i | ||||
\(673\) | −21.2022 | − | 2.38892i | −0.817286 | − | 0.0920860i | −0.306584 | − | 0.951844i | \(-0.599186\pi\) |
−0.510702 | + | 0.859758i | \(0.670614\pi\) | |||||||
\(674\) | −27.5980 | + | 6.29907i | −1.06304 | + | 0.242631i | ||||
\(675\) | −31.0282 | − | 16.6109i | −1.19427 | − | 0.639356i | ||||
\(676\) | 33.1620 | + | 15.9700i | 1.27546 | + | 0.614231i | ||||
\(677\) | 4.99534 | + | 44.3348i | 0.191986 | + | 1.70393i | 0.607484 | + | 0.794332i | \(0.292179\pi\) |
−0.415498 | + | 0.909594i | \(0.636393\pi\) | |||||||
\(678\) | 20.3033 | + | 7.10443i | 0.779743 | + | 0.272844i | ||||
\(679\) | 7.54566 | − | 2.31573i | 0.289576 | − | 0.0888695i | ||||
\(680\) | −2.64614 | + | 3.56547i | −0.101475 | + | 0.136729i | ||||
\(681\) | −21.8184 | + | 10.5072i | −0.836084 | + | 0.402637i | ||||
\(682\) | −0.244861 | − | 0.389694i | −0.00937622 | − | 0.0149222i | ||||
\(683\) | −5.35680 | + | 15.3088i | −0.204972 | + | 0.585777i | −0.999778 | − | 0.0210875i | \(-0.993287\pi\) |
0.794805 | + | 0.606864i | \(0.207573\pi\) | |||||||
\(684\) | −19.1583 | − | 24.0237i | −0.732536 | − | 0.918571i | ||||
\(685\) | −10.4855 | − | 15.4677i | −0.400630 | − | 0.590992i | ||||
\(686\) | 18.5201 | + | 0.0793812i | 0.707100 | + | 0.00303079i | ||||
\(687\) | 11.8969 | + | 11.8969i | 0.453895 | + | 0.453895i | ||||
\(688\) | −4.97985 | − | 0.561095i | −0.189855 | − | 0.0213915i | ||||
\(689\) | 9.84331 | − | 4.74029i | 0.375000 | − | 0.180591i | ||||
\(690\) | 45.7972 | − | 17.8334i | 1.74347 | − | 0.678908i | ||||
\(691\) | −5.70944 | − | 11.8558i | −0.217197 | − | 0.451015i | 0.763692 | − | 0.645581i | \(-0.223385\pi\) |
−0.980890 | + | 0.194566i | \(0.937670\pi\) | |||||||
\(692\) | 0.561053 | − | 0.196321i | 0.0213280 | − | 0.00746300i | ||||
\(693\) | −6.97635 | + | 13.1544i | −0.265010 | + | 0.499693i | ||||
\(694\) | 0.566426 | + | 1.17620i | 0.0215012 | + | 0.0446478i | ||||
\(695\) | −19.3661 | + | 16.5763i | −0.734599 | + | 0.628775i | ||||
\(696\) | 4.72916 | − | 9.82020i | 0.179258 | − | 0.372234i | ||||
\(697\) | −1.56320 | + | 13.8738i | −0.0592104 | + | 0.525507i | ||||
\(698\) | −14.7152 | + | 23.4191i | −0.556979 | + | 0.886426i | ||||
\(699\) | 7.94194 | + | 9.95887i | 0.300392 | + | 0.376679i | ||||
\(700\) | −12.9812 | − | 2.54714i | −0.490644 | − | 0.0962730i | ||||
\(701\) | 22.0327 | − | 27.6281i | 0.832164 | − | 1.04350i | −0.166187 | − | 0.986094i | \(-0.553146\pi\) |
0.998351 | − | 0.0574062i | \(-0.0182830\pi\) | |||||||
\(702\) | −16.4072 | − | 46.8891i | −0.619250 | − | 1.76971i | ||||
\(703\) | 11.4254 | − | 18.1835i | 0.430918 | − | 0.685802i | ||||
\(704\) | − | 1.03738i | − | 0.0390976i | ||||||
\(705\) | 83.1133 | + | 15.9553i | 3.13023 | + | 0.600912i | ||||
\(706\) | −1.04668 | + | 0.238897i | −0.0393922 | + | 0.00899101i | ||||
\(707\) | −0.164024 | + | 4.22218i | −0.00616876 | + | 0.158791i | ||||
\(708\) | 6.13959 | + | 9.77110i | 0.230740 | + | 0.367220i | ||||
\(709\) | 33.7238 | + | 7.69723i | 1.26652 | + | 0.289076i | 0.802449 | − | 0.596721i | \(-0.203530\pi\) |
0.464074 | + | 0.885796i | \(0.346387\pi\) | |||||||
\(710\) | −25.2684 | − | 1.96131i | −0.948307 | − | 0.0736067i | ||||
\(711\) | 18.7169 | − | 23.4702i | 0.701938 | − | 0.880203i | ||||
\(712\) | −6.34559 | − | 10.0990i | −0.237811 | − | 0.378474i | ||||
\(713\) | −2.84454 | + | 1.78734i | −0.106529 | + | 0.0669365i | ||||
\(714\) | −15.2081 | + | 1.11784i | −0.569148 | + | 0.0418341i | ||||
\(715\) | −11.1668 | + | 11.9709i | −0.417616 | + | 0.447685i | ||||
\(716\) | 17.4168 | 0.650895 | ||||||||
\(717\) | −28.0418 | + | 28.0418i | −1.04724 | + | 1.04724i | ||||
\(718\) | −13.1049 | − | 8.23434i | −0.489070 | − | 0.307303i | ||||
\(719\) | 12.7815 | + | 6.15523i | 0.476668 | + | 0.229551i | 0.656762 | − | 0.754098i | \(-0.271926\pi\) |
−0.180093 | + | 0.983650i | \(0.557640\pi\) | |||||||
\(720\) | 7.88824 | + | 9.21584i | 0.293977 | + | 0.343454i | ||||
\(721\) | −9.73498 | − | 10.5219i | −0.362550 | − | 0.391857i | ||||
\(722\) | 1.46460 | − | 12.9987i | 0.0545067 | − | 0.483760i | ||||
\(723\) | 43.1330 | + | 27.1023i | 1.60413 | + | 1.00794i | ||||
\(724\) | −4.35586 | − | 5.46208i | −0.161884 | − | 0.202997i | ||||
\(725\) | 13.8313 | − | 12.6972i | 0.513683 | − | 0.471560i | ||||
\(726\) | 22.5206 | + | 17.9596i | 0.835817 | + | 0.666542i | ||||
\(727\) | 11.7208 | − | 33.4960i | 0.434699 | − | 1.24230i | −0.493347 | − | 0.869833i | \(-0.664227\pi\) |
0.928046 | − | 0.372466i | \(-0.121488\pi\) | |||||||
\(728\) | −11.0664 | − | 15.0394i | −0.410149 | − | 0.557397i | ||||
\(729\) | 16.8116 | − | 34.9097i | 0.622653 | − | 1.29295i | ||||
\(730\) | −0.267516 | − | 1.00913i | −0.00990122 | − | 0.0373496i | ||||
\(731\) | −9.70147 | − | 2.21430i | −0.358822 | − | 0.0818987i | ||||
\(732\) | 6.42964 | + | 2.24983i | 0.237646 | + | 0.0831561i | ||||
\(733\) | −0.590962 | + | 5.24493i | −0.0218277 | + | 0.193726i | −0.999894 | − | 0.0145683i | \(-0.995363\pi\) |
0.978066 | + | 0.208294i | \(0.0667912\pi\) | |||||||
\(734\) | −30.5936 | −1.12923 | ||||||||
\(735\) | −22.4988 | − | 39.4708i | −0.829881 | − | 1.45590i | ||||
\(736\) | −7.57225 | −0.279117 | ||||||||
\(737\) | −1.83172 | + | 16.2569i | −0.0674721 | + | 0.598831i | ||||
\(738\) | 36.0037 | + | 12.5983i | 1.32532 | + | 0.463748i | ||||
\(739\) | 28.9802 | + | 6.61455i | 1.06606 | + | 0.243320i | 0.719346 | − | 0.694652i | \(-0.244442\pi\) |
0.346710 | + | 0.937973i | \(0.387299\pi\) | |||||||
\(740\) | −4.25857 | + | 7.33089i | −0.156548 | + | 0.269489i | ||||
\(741\) | 50.3418 | − | 104.536i | 1.84935 | − | 3.84022i | ||||
\(742\) | −4.09268 | − | 0.158993i | −0.150247 | − | 0.00583681i | ||||
\(743\) | 3.17106 | − | 9.06236i | 0.116335 | − | 0.332466i | −0.870963 | − | 0.491349i | \(-0.836504\pi\) |
0.987297 | + | 0.158884i | \(0.0507895\pi\) | |||||||
\(744\) | −1.00680 | − | 0.802899i | −0.0369112 | − | 0.0294357i | ||||
\(745\) | 21.0712 | − | 28.3918i | 0.771989 | − | 1.04020i | ||||
\(746\) | −7.75334 | − | 9.72238i | −0.283870 | − | 0.355962i | ||||
\(747\) | 27.2078 | + | 17.0958i | 0.995482 | + | 0.625503i | ||||
\(748\) | 0.230635 | − | 2.04695i | 0.00843287 | − | 0.0748438i | ||||
\(749\) | 39.7049 | + | 15.6485i | 1.45078 | + | 0.571785i | ||||
\(750\) | 10.4731 | + | 30.7156i | 0.382423 | + | 1.12157i | ||||
\(751\) | 25.5425 | + | 12.3006i | 0.932057 | + | 0.448855i | 0.837361 | − | 0.546651i | \(-0.184098\pi\) |
0.0946968 | + | 0.995506i | \(0.469812\pi\) | |||||||
\(752\) | −11.0408 | − | 6.93738i | −0.402616 | − | 0.252980i | ||||
\(753\) | 30.8721 | − | 30.8721i | 1.12504 | − | 1.12504i | ||||
\(754\) | 26.5015 | 0.965126 | ||||||||
\(755\) | −0.130039 | − | 3.74213i | −0.00473261 | − | 0.136190i | ||||
\(756\) | −2.80197 | + | 18.4113i | −0.101907 | + | 0.669613i | ||||
\(757\) | 34.0267 | − | 21.3804i | 1.23672 | − | 0.777084i | 0.254915 | − | 0.966963i | \(-0.417953\pi\) |
0.981807 | + | 0.189879i | \(0.0608097\pi\) | |||||||
\(758\) | 0.565222 | + | 0.899546i | 0.0205298 | + | 0.0326730i | ||||
\(759\) | −14.2160 | + | 17.8263i | −0.516008 | + | 0.647054i | ||||
\(760\) | −0.980104 | + | 12.6271i | −0.0355521 | + | 0.458033i | ||||
\(761\) | 3.74468 | + | 0.854699i | 0.135745 | + | 0.0309828i | 0.289853 | − | 0.957071i | \(-0.406393\pi\) |
−0.154109 | + | 0.988054i | \(0.549251\pi\) | |||||||
\(762\) | −24.2894 | − | 38.6563i | −0.879912 | − | 1.40037i | ||||
\(763\) | −12.0349 | + | 2.25932i | −0.435692 | + | 0.0817928i | ||||
\(764\) | 20.0360 | − | 4.57309i | 0.724878 | − | 0.165449i | ||||
\(765\) | 13.5161 | + | 19.9384i | 0.488676 | + | 0.720874i | ||||
\(766\) | − | 16.0977i | − | 0.581635i | ||||||
\(767\) | −14.9279 | + | 23.7576i | −0.539015 | + | 0.857837i | ||||
\(768\) | −0.958666 | − | 2.73971i | −0.0345929 | − | 0.0988608i | ||||
\(769\) | 11.4918 | − | 14.4102i | 0.414404 | − | 0.519646i | −0.530194 | − | 0.847877i | \(-0.677881\pi\) |
0.944598 | + | 0.328230i | \(0.106452\pi\) | |||||||
\(770\) | 5.80105 | − | 2.00327i | 0.209055 | − | 0.0721927i | ||||
\(771\) | −10.4110 | − | 13.0550i | −0.374944 | − | 0.470165i | ||||
\(772\) | 5.62676 | − | 8.95494i | 0.202512 | − | 0.322295i | ||||
\(773\) | −2.89941 | + | 25.7330i | −0.104285 | + | 0.925552i | 0.827234 | + | 0.561858i | \(0.189913\pi\) |
−0.931519 | + | 0.363694i | \(0.881515\pi\) | |||||||
\(774\) | −11.7960 | + | 24.4946i | −0.423997 | + | 0.880439i | ||||
\(775\) | −1.09889 | − | 1.92696i | −0.0394732 | − | 0.0692186i | ||||
\(776\) | 1.29440 | + | 2.68784i | 0.0464661 | + | 0.0964878i | ||||
\(777\) | −28.6171 | + | 5.37231i | −1.02663 | + | 0.192730i | ||||
\(778\) | 6.27786 | − | 2.19672i | 0.225072 | − | 0.0787562i | ||||
\(779\) | 17.2791 | + | 35.8805i | 0.619089 | + | 1.28555i | ||||
\(780\) | −18.4290 | + | 41.9346i | −0.659864 | + | 1.50150i | ||||
\(781\) | 10.5936 | − | 5.10161i | 0.379069 | − | 0.182550i | ||||
\(782\) | −14.9415 | − | 1.68350i | −0.534307 | − | 0.0602020i | ||||
\(783\) | −18.6903 | − | 18.6903i | −0.667938 | − | 0.667938i | ||||
\(784\) | 1.02351 | + | 6.92477i | 0.0365540 | + | 0.247313i | ||||
\(785\) | 4.30376 | − | 2.91749i | 0.153608 | − | 0.104130i | ||||
\(786\) | 18.4422 | + | 23.1258i | 0.657811 | + | 0.824868i | ||||
\(787\) | 4.00521 | − | 11.4462i | 0.142770 | − | 0.408014i | −0.850188 | − | 0.526480i | \(-0.823512\pi\) |
0.992958 | + | 0.118465i | \(0.0377974\pi\) | |||||||
\(788\) | 2.17507 | + | 3.46160i | 0.0774835 | + | 0.123314i | ||||
\(789\) | −25.0706 | + | 12.0733i | −0.892536 | + | 0.429823i | ||||
\(790\) | −12.2400 | + | 1.81154i | −0.435478 | + | 0.0644519i | ||||
\(791\) | 7.18930 | − | 18.2414i | 0.255622 | − | 0.648589i | ||||
\(792\) | −5.31201 | − | 1.85875i | −0.188754 | − | 0.0660479i | ||||
\(793\) | 1.85442 | + | 16.4584i | 0.0658524 | + | 0.584456i | ||||
\(794\) | −3.82916 | − | 1.84402i | −0.135892 | − | 0.0654420i | ||||
\(795\) | 4.67119 | + | 8.89561i | 0.165670 | + | 0.315495i | ||||
\(796\) | −3.22496 | + | 0.736076i | −0.114306 | + | 0.0260895i | ||||
\(797\) | 6.03561 | + | 0.680050i | 0.213792 | + | 0.0240886i | 0.218211 | − | 0.975902i | \(-0.429978\pi\) |
−0.00441859 | + | 0.999990i | \(0.501406\pi\) | |||||||
\(798\) | −35.0344 | + | 25.7793i | −1.24020 | + | 0.912578i | ||||
\(799\) | −20.2432 | − | 16.1434i | −0.716154 | − | 0.571114i | ||||
\(800\) | 0.213573 | − | 4.99544i | 0.00755096 | − | 0.176615i | ||||
\(801\) | −63.0828 | + | 14.3982i | −2.22892 | + | 0.508737i | ||||
\(802\) | 12.9286 | + | 12.9286i | 0.456525 | + | 0.456525i | ||||
\(803\) | 0.342477 | + | 0.342477i | 0.0120858 | + | 0.0120858i | ||||
\(804\) | 10.1859 | + | 44.6272i | 0.359228 | + | 1.57388i | ||||
\(805\) | −14.6227 | − | 42.3443i | −0.515382 | − | 1.49244i | ||||
\(806\) | 0.696726 | − | 3.05255i | 0.0245411 | − | 0.107522i | ||||
\(807\) | −33.9666 | + | 21.3426i | −1.19568 | + | 0.751296i | ||||
\(808\) | −1.58700 | + | 0.178811i | −0.0558303 | + | 0.00629057i | ||||
\(809\) | 17.1143 | + | 13.6482i | 0.601708 | + | 0.479846i | 0.876333 | − | 0.481705i | \(-0.159982\pi\) |
−0.274625 | + | 0.961551i | \(0.588554\pi\) | |||||||
\(810\) | 8.65982 | − | 3.37213i | 0.304275 | − | 0.118485i | ||||
\(811\) | 30.3911 | + | 6.93656i | 1.06717 | + | 0.243576i | 0.719822 | − | 0.694159i | \(-0.244224\pi\) |
0.347353 | + | 0.937735i | \(0.387081\pi\) | |||||||
\(812\) | −8.77715 | − | 4.65492i | −0.308018 | − | 0.163356i | ||||
\(813\) | 9.56429 | + | 6.00964i | 0.335434 | + | 0.210767i | ||||
\(814\) | − | 3.93322i | − | 0.137859i | ||||||
\(815\) | −21.8093 | + | 14.7843i | −0.763945 | + | 0.517873i | ||||
\(816\) | −1.28253 | − | 5.61911i | −0.0448974 | − | 0.196708i | ||||
\(817\) | −26.7915 | + | 9.37476i | −0.937317 | + | 0.327981i | ||||
\(818\) | 23.1021 | − | 2.60298i | 0.807745 | − | 0.0910111i | ||||
\(819\) | −96.8397 | + | 29.7196i | −3.38385 | + | 1.03849i | ||||
\(820\) | −7.30939 | − | 13.9197i | −0.255255 | − | 0.486096i | ||||
\(821\) | −4.63625 | − | 20.3127i | −0.161806 | − | 0.708919i | −0.989112 | − | 0.147167i | \(-0.952985\pi\) |
0.827305 | − | 0.561752i | \(-0.189873\pi\) | |||||||
\(822\) | 24.1044 | + | 2.71592i | 0.840739 | + | 0.0947285i | ||||
\(823\) | 23.0018 | − | 8.04867i | 0.801792 | − | 0.280559i | 0.101888 | − | 0.994796i | \(-0.467512\pi\) |
0.699904 | + | 0.714237i | \(0.253226\pi\) | |||||||
\(824\) | 3.37805 | − | 4.23594i | 0.117680 | − | 0.147566i | ||||
\(825\) | −11.3591 | − | 9.88112i | −0.395473 | − | 0.344017i | ||||
\(826\) | 9.11701 | − | 5.24635i | 0.317221 | − | 0.182544i | ||||
\(827\) | 6.35565 | + | 18.1634i | 0.221008 | + | 0.631603i | 0.999990 | + | 0.00455710i | \(0.00145057\pi\) |
−0.778982 | + | 0.627046i | \(0.784264\pi\) | |||||||
\(828\) | −13.5678 | + | 38.7746i | −0.471514 | + | 1.34751i | ||||
\(829\) | −3.90853 | + | 17.1244i | −0.135749 | + | 0.594755i | 0.860593 | + | 0.509294i | \(0.170093\pi\) |
−0.996342 | + | 0.0854609i | \(0.972764\pi\) | |||||||
\(830\) | −3.39381 | − | 12.8022i | −0.117801 | − | 0.444371i | ||||
\(831\) | 3.82189 | − | 3.04785i | 0.132580 | − | 0.105729i | ||||
\(832\) | 4.99035 | − | 4.99035i | 0.173009 | − | 0.173009i | ||||
\(833\) | 0.480036 | + | 13.8915i | 0.0166323 | + | 0.481311i | ||||
\(834\) | − | 33.0901i | − | 1.14582i | ||||||
\(835\) | 17.9830 | + | 5.59951i | 0.622326 | + | 0.193779i | ||||
\(836\) | −2.54937 | − | 5.29383i | −0.0881719 | − | 0.183091i | ||||
\(837\) | −2.64420 | + | 1.66146i | −0.0913971 | + | 0.0574286i | ||||
\(838\) | 28.3330 | + | 9.91414i | 0.978747 | + | 0.342478i | ||||
\(839\) | −30.2954 | − | 14.5895i | −1.04591 | − | 0.503685i | −0.169642 | − | 0.985506i | \(-0.554261\pi\) |
−0.876270 | + | 0.481821i | \(0.839975\pi\) | |||||||
\(840\) | 13.4693 | − | 10.6515i | 0.464735 | − | 0.367512i | ||||
\(841\) | −13.4236 | + | 6.46446i | −0.462882 | + | 0.222912i | ||||
\(842\) | 6.28687 | − | 0.708360i | 0.216660 | − | 0.0244117i | ||||
\(843\) | −24.0301 | − | 68.6741i | −0.827641 | − | 2.36526i | ||||
\(844\) | 7.05619 | − | 5.62713i | 0.242884 | − | 0.193694i | ||||
\(845\) | −82.2535 | + | 2.85831i | −2.82961 | + | 0.0983288i | ||||
\(846\) | −55.3063 | + | 44.1053i | −1.90147 | + | 1.51637i | ||||
\(847\) | 17.1549 | − | 19.8768i | 0.589449 | − | 0.682976i | ||||
\(848\) | −0.173327 | − | 1.53832i | −0.00595207 | − | 0.0528261i | ||||
\(849\) | −0.522942 | + | 1.08590i | −0.0179473 | + | 0.0372680i | ||||
\(850\) | 1.53203 | − | 9.80948i | 0.0525484 | − | 0.336462i | ||||
\(851\) | −28.7102 | −0.984173 | ||||||||
\(852\) | 23.2632 | − | 23.2632i | 0.796983 | − | 0.796983i | ||||
\(853\) | −21.2889 | + | 33.8810i | −0.728917 | + | 1.16006i | 0.252392 | + | 0.967625i | \(0.418783\pi\) |
−0.981309 | + | 0.192439i | \(0.938360\pi\) | |||||||
\(854\) | 2.27671 | − | 5.77668i | 0.0779073 | − | 0.197674i | ||||
\(855\) | 62.9025 | + | 27.6438i | 2.15122 | + | 0.945397i | ||||
\(856\) | −3.58938 | + | 15.7261i | −0.122682 | + | 0.537507i | ||||
\(857\) | −3.35390 | − | 29.7667i | −0.114567 | − | 1.01681i | −0.911091 | − | 0.412204i | \(-0.864759\pi\) |
0.796524 | − | 0.604606i | \(-0.206670\pi\) | |||||||
\(858\) | −2.37930 | − | 21.1169i | −0.0812279 | − | 0.720918i | ||||
\(859\) | 0.745842 | − | 3.26775i | 0.0254478 | − | 0.111494i | −0.960609 | − | 0.277904i | \(-0.910360\pi\) |
0.986057 | + | 0.166410i | \(0.0532175\pi\) | |||||||
\(860\) | 10.4420 | − | 4.06612i | 0.356069 | − | 0.138653i | ||||
\(861\) | 19.7987 | − | 50.2351i | 0.674738 | − | 1.71201i | ||||
\(862\) | −4.94179 | + | 7.86482i | −0.168318 | + | 0.267877i | ||||
\(863\) | −14.7730 | + | 14.7730i | −0.502880 | + | 0.502880i | −0.912332 | − | 0.409452i | \(-0.865720\pi\) |
0.409452 | + | 0.912332i | \(0.365720\pi\) | |||||||
\(864\) | −7.03895 | −0.239470 | ||||||||
\(865\) | −0.906636 | + | 0.971916i | −0.0308266 | + | 0.0330461i | ||||
\(866\) | −16.9438 | + | 35.1842i | −0.575774 | + | 1.19561i | ||||
\(867\) | 4.24339 | + | 37.6611i | 0.144113 | + | 1.27904i | ||||
\(868\) | −0.766926 | + | 0.888613i | −0.0260312 | + | 0.0301615i | ||||
\(869\) | 4.48797 | − | 3.57904i | 0.152244 | − | 0.121411i | ||||
\(870\) | 0.846425 | + | 24.3575i | 0.0286965 | + | 0.825798i | ||||
\(871\) | −87.0161 | + | 69.3930i | −2.94843 | + | 2.35129i | ||||
\(872\) | −1.52860 | − | 4.36850i | −0.0517651 | − | 0.147936i | ||||
\(873\) | 16.0827 | − | 1.81208i | 0.544316 | − | 0.0613297i | ||||
\(874\) | −38.6419 | + | 18.6089i | −1.30708 | + | 0.629457i | ||||
\(875\) | 28.3471 | − | 8.45231i | 0.958307 | − | 0.285740i | ||||
\(876\) | 1.22097 | + | 0.587989i | 0.0412528 | + | 0.0198663i | ||||
\(877\) | 46.8596 | + | 16.3969i | 1.58234 | + | 0.553683i | 0.971287 | − | 0.237911i | \(-0.0764625\pi\) |
0.611048 | + | 0.791594i | \(0.290748\pi\) | |||||||
\(878\) | 5.29924 | − | 3.32973i | 0.178841 | − | 0.112373i | ||||
\(879\) | 28.1889 | + | 58.5348i | 0.950787 | + | 1.97433i | ||||
\(880\) | 1.07843 | + | 2.05371i | 0.0363539 | + | 0.0692307i | ||||
\(881\) | − | 9.02699i | − | 0.304127i | −0.988371 | − | 0.152064i | \(-0.951408\pi\) | ||
0.988371 | − | 0.152064i | \(-0.0485919\pi\) | |||||||
\(882\) | 37.2930 | + | 7.16666i | 1.25572 | + | 0.241314i | ||||
\(883\) | 40.4907 | − | 40.4907i | 1.36262 | − | 1.36262i | 0.492059 | − | 0.870562i | \(-0.336244\pi\) |
0.870562 | − | 0.492059i | \(-0.163756\pi\) | |||||||
\(884\) | 10.9564 | − | 8.73744i | 0.368504 | − | 0.293872i | ||||
\(885\) | −22.3124 | − | 12.9615i | −0.750024 | − | 0.435695i | ||||
\(886\) | −3.82484 | + | 16.7577i | −0.128498 | + | 0.562986i | ||||
\(887\) | 7.33508 | − | 20.9625i | 0.246288 | − | 0.703850i | −0.752678 | − | 0.658389i | \(-0.771238\pi\) |
0.998966 | − | 0.0454617i | \(-0.0144759\pi\) | |||||||
\(888\) | −3.63478 | − | 10.3876i | −0.121975 | − | 0.348586i | ||||
\(889\) | −36.0686 | + | 20.7556i | −1.20970 | + | 0.696120i | ||||
\(890\) | 23.0611 | + | 13.3964i | 0.773010 | + | 0.449047i | ||||
\(891\) | −2.68811 | + | 3.37078i | −0.0900550 | + | 0.112925i | ||||
\(892\) | 0.456691 | − | 0.159803i | 0.0152911 | − | 0.00535060i | ||||
\(893\) | −73.3908 | − | 8.26916i | −2.45593 | − | 0.276717i | ||||
\(894\) | 10.2128 | + | 44.7450i | 0.341566 | + | 1.49650i | ||||
\(895\) | −34.4803 | + | 18.1060i | −1.15255 | + | 0.605217i | ||||
\(896\) | −2.52932 | + | 0.776236i | −0.0844986 | + | 0.0259322i | ||||
\(897\) | −154.141 | + | 17.3675i | −5.14661 | + | 0.579884i | ||||
\(898\) | −12.9519 | + | 4.53206i | −0.432209 | + | 0.151237i | ||||
\(899\) | −0.370715 | − | 1.62421i | −0.0123640 | − | 0.0541704i | ||||
\(900\) | −25.1970 | − | 10.0444i | −0.839902 | − | 0.334812i | ||||
\(901\) | − | 3.07394i | − | 0.102408i | ||||||
\(902\) | 6.17595 | + | 3.88061i | 0.205637 | + | 0.129210i | ||||
\(903\) | 33.9994 | + | 18.0314i | 1.13143 | + | 0.600048i | ||||
\(904\) | 7.22494 | + | 1.64905i | 0.240298 | + | 0.0548464i | ||||
\(905\) | 14.3016 | + | 6.28513i | 0.475402 | + | 0.208925i | ||||
\(906\) | 3.80011 | + | 3.03048i | 0.126250 | + | 0.100681i | ||||
\(907\) | −11.6376 | + | 1.31125i | −0.386422 | + | 0.0435393i | −0.303038 | − | 0.952978i | \(-0.598001\pi\) |
−0.0833831 | + | 0.996518i | \(0.526573\pi\) | |||||||
\(908\) | −7.06431 | + | 4.43880i | −0.234437 | + | 0.147307i | ||||
\(909\) | −1.92792 | + | 8.44679i | −0.0639452 | + | 0.280162i | ||||
\(910\) | 37.5430 | + | 18.2694i | 1.24454 | + | 0.605625i | ||||
\(911\) | −8.86919 | − | 38.8584i | −0.293849 | − | 1.28744i | −0.879120 | − | 0.476600i | \(-0.841869\pi\) |
0.585271 | − | 0.810838i | \(-0.300988\pi\) | |||||||
\(912\) | −11.6250 | − | 11.6250i | −0.384944 | − | 0.384944i | ||||
\(913\) | 4.34480 | + | 4.34480i | 0.143792 | + | 0.143792i | ||||
\(914\) | 28.4959 | − | 6.50401i | 0.942562 | − | 0.215134i | ||||
\(915\) | −15.0677 | + | 2.23006i | −0.498124 | + | 0.0737236i | ||||
\(916\) | 4.53185 | + | 3.61403i | 0.149737 | + | 0.119411i | ||||
\(917\) | 21.7161 | − | 15.9793i | 0.717128 | − | 0.527684i | ||||
\(918\) | −13.8892 | − | 1.56494i | −0.458412 | − | 0.0516506i | ||||
\(919\) | −22.4824 | + | 5.13147i | −0.741628 | + | 0.169272i | −0.576611 | − | 0.817019i | \(-0.695625\pi\) |
−0.165017 | + | 0.986291i | \(0.552768\pi\) | |||||||
\(920\) | 14.9909 | − | 7.87192i | 0.494236 | − | 0.259529i | ||||
\(921\) | −18.9216 | − | 9.11218i | −0.623489 | − | 0.300256i | ||||
\(922\) | 0.862279 | + | 7.65294i | 0.0283976 | + | 0.252036i | ||||
\(923\) | 75.5025 | + | 26.4195i | 2.48520 | + | 0.869607i | ||||
\(924\) | −2.92111 | + | 7.41172i | −0.0960975 | + | 0.243828i | ||||
\(925\) | 0.809764 | − | 18.9402i | 0.0266249 | − | 0.622750i | ||||
\(926\) | 22.2176 | − | 10.6994i | 0.730116 | − | 0.351605i | ||||
\(927\) | −15.6379 | − | 24.8876i | −0.513616 | − | 0.817415i | ||||
\(928\) | 1.24024 | − | 3.54440i | 0.0407128 | − | 0.116351i | ||||
\(929\) | −4.63191 | − | 5.80823i | −0.151968 | − | 0.190562i | 0.700020 | − | 0.714123i | \(-0.253174\pi\) |
−0.851988 | + | 0.523561i | \(0.824603\pi\) | |||||||
\(930\) | 2.82786 | + | 0.542867i | 0.0927292 | + | 0.0178013i | ||||
\(931\) | 22.2408 | + | 32.8224i | 0.728913 | + | 1.07571i | ||||
\(932\) | 3.10310 | + | 3.10310i | 0.101645 | + | 0.101645i | ||||
\(933\) | −8.02955 | − | 0.904713i | −0.262876 | − | 0.0296190i | ||||
\(934\) | −27.6314 | + | 13.3066i | −0.904127 | + | 0.435405i | ||||
\(935\) | 1.67136 | + | 4.29214i | 0.0546593 | + | 0.140368i | ||||
\(936\) | −16.6120 | − | 34.4953i | −0.542982 | − | 1.12751i | ||||
\(937\) | 24.3012 | − | 8.50335i | 0.793885 | − | 0.277792i | 0.0972892 | − | 0.995256i | \(-0.468983\pi\) |
0.696596 | + | 0.717464i | \(0.254697\pi\) | |||||||
\(938\) | 41.0080 | − | 7.69847i | 1.33896 | − | 0.251364i | ||||
\(939\) | 25.3576 | + | 52.6557i | 0.827515 | + | 1.71835i | ||||
\(940\) | 29.0696 | + | 2.25635i | 0.948144 | + | 0.0735940i | ||||
\(941\) | 17.5400 | − | 36.4222i | 0.571789 | − | 1.18733i | −0.391827 | − | 0.920039i | \(-0.628157\pi\) |
0.963616 | − | 0.267292i | \(-0.0861289\pi\) | |||||||
\(942\) | −0.755680 | + | 6.70685i | −0.0246214 | + | 0.218521i | ||||
\(943\) | 28.3262 | − | 45.0809i | 0.922427 | − | 1.46803i | ||||
\(944\) | 2.47882 | + | 3.10834i | 0.0806786 | + | 0.101168i | ||||
\(945\) | −13.5928 | − | 39.3621i | −0.442175 | − | 1.28045i | ||||
\(946\) | −3.24132 | + | 4.06449i | −0.105384 | + | 0.132148i | ||||
\(947\) | −12.7414 | − | 36.4127i | −0.414039 | − | 1.18326i | −0.942473 | − | 0.334281i | \(-0.891506\pi\) |
0.528434 | − | 0.848974i | \(-0.322779\pi\) | |||||||
\(948\) | 8.54524 | − | 13.5997i | 0.277537 | − | 0.441697i | ||||
\(949\) | 3.29500i | 0.106960i | ||||||||
\(950\) | −11.1865 | − | 26.0170i | −0.362938 | − | 0.844103i | ||||
\(951\) | −6.79699 | + | 1.55137i | −0.220407 | + | 0.0503066i | ||||
\(952\) | −5.16341 | + | 0.969331i | −0.167347 | + | 0.0314162i | ||||
\(953\) | −11.1820 | − | 17.7961i | −0.362221 | − | 0.576471i | 0.615044 | − | 0.788493i | \(-0.289138\pi\) |
−0.977265 | + | 0.212021i | \(0.931995\pi\) | |||||||
\(954\) | −8.18771 | − | 1.86879i | −0.265087 | − | 0.0605043i | ||||
\(955\) | −34.9116 | + | 29.8824i | −1.12971 | + | 0.966970i | ||||
\(956\) | −8.51853 | + | 10.6819i | −0.275509 | + | 0.345477i | ||||
\(957\) | −6.01568 | − | 9.57391i | −0.194459 | − | 0.309480i | ||||
\(958\) | −21.7462 | + | 13.6641i | −0.702589 | + | 0.441466i | ||||
\(959\) | 3.32664 | − | 21.8588i | 0.107423 | − | 0.705859i | ||||
\(960\) | 4.74602 | + | 4.42725i | 0.153177 | + | 0.142889i | ||||
\(961\) | 30.8032 | 0.993651 | ||||||||
\(962\) | 18.9209 | − | 18.9209i | 0.610034 | − | 0.610034i | ||||
\(963\) | 74.0959 | + | 46.5575i | 2.38771 | + | 1.50030i | ||||
\(964\) | 15.8122 | + | 7.61474i | 0.509276 | + | 0.245254i | ||||
\(965\) | −1.83008 | + | 23.5777i | −0.0589123 | + | 0.758993i | ||||
\(966\) | 54.1012 | + | 21.3224i | 1.74068 | + | 0.686037i | ||||
\(967\) | 0.745462 | − | 6.61616i | 0.0239724 | − | 0.212761i | −0.976015 | − | 0.217702i | \(-0.930144\pi\) |
0.999988 | + | 0.00494036i | \(0.00157257\pi\) | |||||||
\(968\) | 8.40276 | + | 5.27981i | 0.270075 | + | 0.169699i | ||||
\(969\) | −20.3539 | − | 25.5230i | −0.653862 | − | 0.819917i | ||||
\(970\) | −5.35675 | − | 3.97555i | −0.171995 | − | 0.127647i | ||||
\(971\) | −25.8515 | − | 20.6159i | −0.829616 | − | 0.661596i | 0.113692 | − | 0.993516i | \(-0.463732\pi\) |
−0.943308 | + | 0.331920i | \(0.892304\pi\) | |||||||
\(972\) | 2.99019 | − | 8.54547i | 0.0959103 | − | 0.274096i | ||||
\(973\) | −30.1393 | − | 1.17086i | −0.966222 | − | 0.0375359i | ||||
\(974\) | 15.3987 | − | 31.9758i | 0.493408 | − | 1.02457i | ||||
\(975\) | −7.10989 | − | 102.177i | −0.227699 | − | 3.27228i | ||||
\(976\) | 2.28799 | + | 0.522220i | 0.0732369 | + | 0.0167158i | ||||
\(977\) | −41.1750 | − | 14.4078i | −1.31731 | − | 0.460945i | −0.422080 | − | 0.906559i | \(-0.638700\pi\) |
−0.895225 | + | 0.445614i | \(0.852986\pi\) | |||||||
\(978\) | 3.82940 | − | 33.9868i | 0.122451 | − | 1.08678i | ||||
\(979\) | −12.3729 | −0.395439 | ||||||||
\(980\) | −9.22508 | − | 12.6451i | −0.294684 | − | 0.403932i | ||||
\(981\) | −25.1083 | −0.801648 | ||||||||
\(982\) | −2.31987 | + | 20.5895i | −0.0740302 | + | 0.657036i | ||||
\(983\) | −29.2564 | − | 10.2372i | −0.933133 | − | 0.326517i | −0.179459 | − | 0.983766i | \(-0.557435\pi\) |
−0.753674 | + | 0.657248i | \(0.771720\pi\) | |||||||
\(984\) | 19.8968 | + | 4.54132i | 0.634288 | + | 0.144772i | ||||
\(985\) | −7.90461 | − | 4.59185i | −0.251862 | − | 0.146308i | ||||
\(986\) | 3.23524 | − | 6.71805i | 0.103031 | − | 0.213946i | ||||
\(987\) | 59.3480 | + | 80.6546i | 1.88907 | + | 2.56726i | ||||
\(988\) | 13.2023 | − | 37.7300i | 0.420021 | − | 1.20035i | ||||
\(989\) | 29.6684 | + | 23.6597i | 0.943400 | + | 0.752336i | ||||
\(990\) | 12.4486 | − | 1.84242i | 0.395643 | − | 0.0585561i | ||||
\(991\) | −28.6495 | − | 35.9253i | −0.910080 | − | 1.14120i | −0.989524 | − | 0.144365i | \(-0.953886\pi\) |
0.0794441 | − | 0.996839i | \(-0.474685\pi\) | |||||||
\(992\) | −0.375653 | − | 0.236039i | −0.0119270 | − | 0.00749424i | ||||
\(993\) | 8.22614 | − | 73.0090i | 0.261049 | − | 2.31687i | ||||
\(994\) | −20.3655 | − | 22.0118i | −0.645956 | − | 0.698173i | ||||
\(995\) | 5.61931 | − | 4.80981i | 0.178144 | − | 0.152481i | ||||
\(996\) | 15.4897 | + | 7.45946i | 0.490811 | + | 0.236362i | ||||
\(997\) | 14.5459 | + | 9.13976i | 0.460672 | + | 0.289459i | 0.742304 | − | 0.670063i | \(-0.233733\pi\) |
−0.281632 | + | 0.959522i | \(0.590876\pi\) | |||||||
\(998\) | −29.1240 | + | 29.1240i | −0.921904 | + | 0.921904i | ||||
\(999\) | −26.6882 | −0.844377 |
(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 | 490.2.s.a.237.16 | yes | 336 | |
5.3 | odd | 4 | inner | 490.2.s.a.433.13 | yes | 336 | |
49.6 | odd | 14 | inner | 490.2.s.a.447.13 | yes | 336 | |
245.153 | even | 28 | inner | 490.2.s.a.153.16 | ✓ | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.s.a.153.16 | ✓ | 336 | 245.153 | even | 28 | inner | |
490.2.s.a.237.16 | yes | 336 | 1.1 | even | 1 | trivial | |
490.2.s.a.433.13 | yes | 336 | 5.3 | odd | 4 | inner | |
490.2.s.a.447.13 | yes | 336 | 49.6 | odd | 14 | inner |