Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(136,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bt (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 136.4 | ||
Character | \(\chi\) | \(=\) | 273.136 |
Dual form | 273.2.bt.a.271.4 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.411775 | + | 0.411775i | −0.291169 | + | 0.291169i | −0.837542 | − | 0.546373i | \(-0.816008\pi\) |
0.546373 | + | 0.837542i | \(0.316008\pi\) | |||||||
\(3\) | 0.866025 | − | 0.500000i | 0.500000 | − | 0.288675i | ||||
\(4\) | 1.66088i | 0.830442i | ||||||||
\(5\) | −0.180309 | + | 0.672922i | −0.0806367 | + | 0.300940i | −0.994452 | − | 0.105189i | \(-0.966455\pi\) |
0.913816 | + | 0.406129i | \(0.133122\pi\) | |||||||
\(6\) | −0.150720 | + | 0.562494i | −0.0615312 | + | 0.229637i | ||||
\(7\) | 2.60113 | + | 0.483875i | 0.983134 | + | 0.182887i | ||||
\(8\) | −1.50746 | − | 1.50746i | −0.532967 | − | 0.532967i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | −0.202846 | − | 0.351339i | −0.0641454 | − | 0.111103i | ||||
\(11\) | −0.230214 | + | 0.859171i | −0.0694122 | + | 0.259050i | −0.991908 | − | 0.126957i | \(-0.959479\pi\) |
0.922496 | + | 0.386007i | \(0.126146\pi\) | |||||||
\(12\) | 0.830442 | + | 1.43837i | 0.239728 | + | 0.415221i | ||||
\(13\) | 0.659853 | + | 3.54466i | 0.183010 | + | 0.983111i | ||||
\(14\) | −1.27033 | + | 0.871831i | −0.339509 | + | 0.233007i | ||||
\(15\) | 0.180309 | + | 0.672922i | 0.0465556 | + | 0.173748i | ||||
\(16\) | −2.08030 | −0.520075 | ||||||||
\(17\) | −0.0460661 | −0.0111727 | −0.00558634 | − | 0.999984i | \(-0.501778\pi\) | ||||
−0.00558634 | + | 0.999984i | \(0.501778\pi\) | |||||||
\(18\) | 0.150720 | + | 0.562494i | 0.0355250 | + | 0.132581i | ||||
\(19\) | −0.843398 | + | 0.225988i | −0.193489 | + | 0.0518452i | −0.354262 | − | 0.935146i | \(-0.615268\pi\) |
0.160773 | + | 0.986991i | \(0.448601\pi\) | |||||||
\(20\) | −1.11765 | − | 0.299472i | −0.249913 | − | 0.0669640i | ||||
\(21\) | 2.49458 | − | 0.881516i | 0.544362 | − | 0.192363i | ||||
\(22\) | −0.258989 | − | 0.448581i | −0.0552165 | − | 0.0956379i | ||||
\(23\) | 3.19116i | 0.665403i | 0.943032 | + | 0.332701i | \(0.107960\pi\) | ||||
−0.943032 | + | 0.332701i | \(0.892040\pi\) | |||||||
\(24\) | −2.05923 | − | 0.551768i | −0.420338 | − | 0.112629i | ||||
\(25\) | 3.90981 | + | 2.25733i | 0.781963 | + | 0.451466i | ||||
\(26\) | −1.73131 | − | 1.18789i | −0.339538 | − | 0.232964i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −0.803659 | + | 4.32017i | −0.151877 | + | 0.816435i | ||||
\(29\) | 4.08244 | − | 7.07099i | 0.758090 | − | 1.31305i | −0.185734 | − | 0.982600i | \(-0.559466\pi\) |
0.943824 | − | 0.330450i | \(-0.107200\pi\) | |||||||
\(30\) | −0.351339 | − | 0.202846i | −0.0641454 | − | 0.0370344i | ||||
\(31\) | 3.90039 | − | 1.04511i | 0.700531 | − | 0.187707i | 0.109063 | − | 0.994035i | \(-0.465215\pi\) |
0.591468 | + | 0.806328i | \(0.298548\pi\) | |||||||
\(32\) | 3.87153 | − | 3.87153i | 0.684397 | − | 0.684397i | ||||
\(33\) | 0.230214 | + | 0.859171i | 0.0400752 | + | 0.149563i | ||||
\(34\) | 0.0189689 | − | 0.0189689i | 0.00325313 | − | 0.00325313i | ||||
\(35\) | −0.794617 | + | 1.66311i | −0.134315 | + | 0.281117i | ||||
\(36\) | 1.43837 | + | 0.830442i | 0.239728 | + | 0.138407i | ||||
\(37\) | −4.97904 | − | 4.97904i | −0.818549 | − | 0.818549i | 0.167349 | − | 0.985898i | \(-0.446479\pi\) |
−0.985898 | + | 0.167349i | \(0.946479\pi\) | |||||||
\(38\) | 0.254234 | − | 0.440346i | 0.0412422 | − | 0.0714335i | ||||
\(39\) | 2.34378 | + | 2.73984i | 0.375305 | + | 0.438725i | ||||
\(40\) | 1.28621 | − | 0.742594i | 0.203368 | − | 0.117414i | ||||
\(41\) | −8.56284 | + | 2.29441i | −1.33729 | + | 0.358326i | −0.855429 | − | 0.517921i | \(-0.826706\pi\) |
−0.481863 | + | 0.876247i | \(0.660040\pi\) | |||||||
\(42\) | −0.664219 | + | 1.39019i | −0.102491 | + | 0.214511i | ||||
\(43\) | 1.29226 | − | 0.746085i | 0.197067 | − | 0.113777i | −0.398219 | − | 0.917290i | \(-0.630372\pi\) |
0.595287 | + | 0.803513i | \(0.297038\pi\) | |||||||
\(44\) | −1.42698 | − | 0.382359i | −0.215126 | − | 0.0576428i | ||||
\(45\) | 0.492613 | + | 0.492613i | 0.0734345 | + | 0.0734345i | ||||
\(46\) | −1.31404 | − | 1.31404i | −0.193744 | − | 0.193744i | ||||
\(47\) | −12.1286 | − | 3.24985i | −1.76914 | − | 0.474039i | −0.780604 | − | 0.625026i | \(-0.785088\pi\) |
−0.988536 | + | 0.150987i | \(0.951755\pi\) | |||||||
\(48\) | −1.80159 | + | 1.04015i | −0.260038 | + | 0.150133i | ||||
\(49\) | 6.53173 | + | 2.51724i | 0.933104 | + | 0.359606i | ||||
\(50\) | −2.53947 | + | 0.680450i | −0.359136 | + | 0.0962301i | ||||
\(51\) | −0.0398944 | + | 0.0230331i | −0.00558634 | + | 0.00322527i | ||||
\(52\) | −5.88726 | + | 1.09594i | −0.816416 | + | 0.151979i | ||||
\(53\) | 4.89224 | − | 8.47362i | 0.672001 | − | 1.16394i | −0.305334 | − | 0.952245i | \(-0.598768\pi\) |
0.977336 | − | 0.211695i | \(-0.0678985\pi\) | |||||||
\(54\) | 0.411775 | + | 0.411775i | 0.0560354 | + | 0.0560354i | ||||
\(55\) | −0.536646 | − | 0.309833i | −0.0723613 | − | 0.0417778i | ||||
\(56\) | −3.19167 | − | 4.65051i | −0.426505 | − | 0.621451i | ||||
\(57\) | −0.617410 | + | 0.617410i | −0.0817780 | + | 0.0817780i | ||||
\(58\) | 1.23061 | + | 4.59270i | 0.161587 | + | 0.603051i | ||||
\(59\) | 6.25586 | − | 6.25586i | 0.814444 | − | 0.814444i | −0.170853 | − | 0.985297i | \(-0.554652\pi\) |
0.985297 | + | 0.170853i | \(0.0546522\pi\) | |||||||
\(60\) | −1.11765 | + | 0.299472i | −0.144287 | + | 0.0386617i | ||||
\(61\) | 0.877507 | + | 0.506629i | 0.112353 | + | 0.0648672i | 0.555124 | − | 0.831768i | \(-0.312671\pi\) |
−0.442770 | + | 0.896635i | \(0.646004\pi\) | |||||||
\(62\) | −1.17573 | + | 2.03643i | −0.149318 | + | 0.258627i | ||||
\(63\) | 1.71961 | − | 2.01071i | 0.216651 | − | 0.253325i | ||||
\(64\) | − | 0.972206i | − | 0.121526i | ||||||
\(65\) | −2.50426 | − | 0.195103i | −0.310615 | − | 0.0241996i | ||||
\(66\) | −0.448581 | − | 0.258989i | −0.0552165 | − | 0.0318793i | ||||
\(67\) | 2.42048 | + | 0.648566i | 0.295709 | + | 0.0792350i | 0.403623 | − | 0.914925i | \(-0.367751\pi\) |
−0.107915 | + | 0.994160i | \(0.534417\pi\) | |||||||
\(68\) | − | 0.0765105i | − | 0.00927826i | ||||||
\(69\) | 1.59558 | + | 2.76363i | 0.192085 | + | 0.332701i | ||||
\(70\) | −0.357623 | − | 1.01203i | −0.0427442 | − | 0.120961i | ||||
\(71\) | −0.798336 | − | 0.213913i | −0.0947450 | − | 0.0253869i | 0.211135 | − | 0.977457i | \(-0.432284\pi\) |
−0.305880 | + | 0.952070i | \(0.598951\pi\) | |||||||
\(72\) | −2.05923 | + | 0.551768i | −0.242682 | + | 0.0650265i | ||||
\(73\) | −4.09226 | − | 15.2725i | −0.478963 | − | 1.78751i | −0.605830 | − | 0.795594i | \(-0.707159\pi\) |
0.126867 | − | 0.991920i | \(-0.459508\pi\) | |||||||
\(74\) | 4.10048 | 0.476672 | ||||||||
\(75\) | 4.51466 | 0.521308 | ||||||||
\(76\) | −0.375340 | − | 1.40079i | −0.0430544 | − | 0.160681i | ||||
\(77\) | −1.01455 | + | 2.12342i | −0.115618 | + | 0.241986i | ||||
\(78\) | −2.09330 | − | 0.163087i | −0.237020 | − | 0.0184659i | ||||
\(79\) | −4.73655 | − | 8.20394i | −0.532903 | − | 0.923016i | −0.999262 | − | 0.0384199i | \(-0.987768\pi\) |
0.466358 | − | 0.884596i | \(-0.345566\pi\) | |||||||
\(80\) | 0.375097 | − | 1.39988i | 0.0419371 | − | 0.156511i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 2.58118 | − | 4.47074i | 0.285044 | − | 0.493711i | ||||
\(83\) | −3.50364 | − | 3.50364i | −0.384574 | − | 0.384574i | 0.488173 | − | 0.872747i | \(-0.337664\pi\) |
−0.872747 | + | 0.488173i | \(0.837664\pi\) | |||||||
\(84\) | 1.46410 | + | 4.14321i | 0.159746 | + | 0.452061i | ||||
\(85\) | 0.00830614 | − | 0.0309989i | 0.000900927 | − | 0.00336231i | ||||
\(86\) | −0.224900 | + | 0.839337i | −0.0242516 | + | 0.0905081i | ||||
\(87\) | − | 8.16487i | − | 0.875366i | ||||||
\(88\) | 1.64220 | − | 0.948127i | 0.175060 | − | 0.101071i | ||||
\(89\) | −3.69759 | + | 3.69759i | −0.391944 | + | 0.391944i | −0.875380 | − | 0.483436i | \(-0.839389\pi\) |
0.483436 | + | 0.875380i | \(0.339389\pi\) | |||||||
\(90\) | −0.405691 | −0.0427636 | ||||||||
\(91\) | 0.00119323 | + | 9.53939i | 0.000125084 | + | 1.00000i | ||||
\(92\) | −5.30014 | −0.552578 | ||||||||
\(93\) | 2.85528 | − | 2.85528i | 0.296079 | − | 0.296079i | ||||
\(94\) | 6.33246 | − | 3.65605i | 0.653143 | − | 0.377092i | ||||
\(95\) | − | 0.608289i | − | 0.0624092i | ||||||
\(96\) | 1.41708 | − | 5.28861i | 0.144630 | − | 0.539767i | ||||
\(97\) | −0.288642 | + | 1.07723i | −0.0293071 | + | 0.109376i | −0.979030 | − | 0.203716i | \(-0.934698\pi\) |
0.949723 | + | 0.313092i | \(0.101365\pi\) | |||||||
\(98\) | −3.72614 | + | 1.65306i | −0.376396 | + | 0.166985i | ||||
\(99\) | 0.628957 | + | 0.628957i | 0.0632126 | + | 0.0632126i | ||||
\(100\) | −3.74917 | + | 6.49375i | −0.374917 | + | 0.649375i | ||||
\(101\) | 7.30376 | + | 12.6505i | 0.726752 | + | 1.25877i | 0.958249 | + | 0.285935i | \(0.0923042\pi\) |
−0.231497 | + | 0.972836i | \(0.574362\pi\) | |||||||
\(102\) | 0.00694308 | − | 0.0259119i | 0.000687468 | − | 0.00256566i | ||||
\(103\) | −6.34652 | − | 10.9925i | −0.625342 | − | 1.08312i | −0.988475 | − | 0.151386i | \(-0.951626\pi\) |
0.363133 | − | 0.931737i | \(-0.381707\pi\) | |||||||
\(104\) | 4.34872 | − | 6.33812i | 0.426427 | − | 0.621504i | ||||
\(105\) | 0.143397 | + | 1.83760i | 0.0139941 | + | 0.179332i | ||||
\(106\) | 1.47472 | + | 5.50372i | 0.143237 | + | 0.534569i | ||||
\(107\) | 11.7922 | 1.14000 | 0.569999 | − | 0.821645i | \(-0.306944\pi\) | ||||
0.569999 | + | 0.821645i | \(0.306944\pi\) | |||||||
\(108\) | 1.66088 | 0.159819 | ||||||||
\(109\) | 0.888593 | + | 3.31627i | 0.0851118 | + | 0.317641i | 0.995335 | − | 0.0964758i | \(-0.0307570\pi\) |
−0.910224 | + | 0.414117i | \(0.864090\pi\) | |||||||
\(110\) | 0.348558 | − | 0.0933959i | 0.0332337 | − | 0.00890495i | ||||
\(111\) | −6.80150 | − | 1.82246i | −0.645569 | − | 0.172980i | ||||
\(112\) | −5.41113 | − | 1.00661i | −0.511304 | − | 0.0951152i | ||||
\(113\) | 7.53468 | + | 13.0504i | 0.708803 | + | 1.22768i | 0.965301 | + | 0.261138i | \(0.0840978\pi\) |
−0.256498 | + | 0.966545i | \(0.582569\pi\) | |||||||
\(114\) | − | 0.508468i | − | 0.0476224i | ||||||
\(115\) | −2.14740 | − | 0.575395i | −0.200246 | − | 0.0536559i | ||||
\(116\) | 11.7441 | + | 6.78045i | 1.09041 | + | 0.629549i | ||||
\(117\) | 3.39969 | + | 1.20088i | 0.314301 | + | 0.111021i | ||||
\(118\) | 5.15201i | 0.474281i | ||||||||
\(119\) | −0.119824 | − | 0.0222902i | −0.0109842 | − | 0.00204334i | ||||
\(120\) | 0.742594 | − | 1.28621i | 0.0677893 | − | 0.117414i | ||||
\(121\) | 8.84110 | + | 5.10441i | 0.803737 | + | 0.464038i | ||||
\(122\) | −0.569952 | + | 0.152718i | −0.0516010 | + | 0.0138265i | ||||
\(123\) | −6.26844 | + | 6.26844i | −0.565206 | + | 0.565206i | ||||
\(124\) | 1.73580 | + | 6.47810i | 0.155879 | + | 0.581750i | ||||
\(125\) | −4.68705 | + | 4.68705i | −0.419223 | + | 0.419223i | ||||
\(126\) | 0.119865 | + | 1.53605i | 0.0106784 | + | 0.136842i | ||||
\(127\) | −6.17582 | − | 3.56561i | −0.548016 | − | 0.316397i | 0.200306 | − | 0.979733i | \(-0.435806\pi\) |
−0.748321 | + | 0.663337i | \(0.769140\pi\) | |||||||
\(128\) | 8.14339 | + | 8.14339i | 0.719781 | + | 0.719781i | ||||
\(129\) | 0.746085 | − | 1.29226i | 0.0656891 | − | 0.113777i | ||||
\(130\) | 1.11153 | − | 0.950851i | 0.0974874 | − | 0.0833951i | ||||
\(131\) | −11.8790 | + | 6.85837i | −1.03788 | + | 0.599219i | −0.919231 | − | 0.393718i | \(-0.871189\pi\) |
−0.118646 | + | 0.992937i | \(0.537855\pi\) | |||||||
\(132\) | −1.42698 | + | 0.382359i | −0.124203 | + | 0.0332801i | ||||
\(133\) | −2.30314 | + | 0.179724i | −0.199707 | + | 0.0155841i | ||||
\(134\) | −1.26376 | + | 0.729630i | −0.109172 | + | 0.0630304i | ||||
\(135\) | 0.672922 | + | 0.180309i | 0.0579159 | + | 0.0155185i | ||||
\(136\) | 0.0694428 | + | 0.0694428i | 0.00595467 | + | 0.00595467i | ||||
\(137\) | 8.25603 | + | 8.25603i | 0.705361 | + | 0.705361i | 0.965556 | − | 0.260195i | \(-0.0837870\pi\) |
−0.260195 | + | 0.965556i | \(0.583787\pi\) | |||||||
\(138\) | −1.79501 | − | 0.480971i | −0.152801 | − | 0.0409430i | ||||
\(139\) | −0.834941 | + | 0.482054i | −0.0708188 | + | 0.0408873i | −0.534991 | − | 0.844858i | \(-0.679685\pi\) |
0.464172 | + | 0.885745i | \(0.346352\pi\) | |||||||
\(140\) | −2.76223 | − | 1.31977i | −0.233451 | − | 0.111541i | ||||
\(141\) | −12.1286 | + | 3.24985i | −1.02141 | + | 0.273687i | ||||
\(142\) | 0.416818 | − | 0.240650i | 0.0349786 | − | 0.0201949i | ||||
\(143\) | −3.19738 | − | 0.249103i | −0.267378 | − | 0.0208311i | ||||
\(144\) | −1.04015 | + | 1.80159i | −0.0866792 | + | 0.150133i | ||||
\(145\) | 4.02213 | + | 4.02213i | 0.334019 | + | 0.334019i | ||||
\(146\) | 7.97393 | + | 4.60375i | 0.659927 | + | 0.381009i | ||||
\(147\) | 6.91526 | − | 1.08587i | 0.570361 | − | 0.0895612i | ||||
\(148\) | 8.26961 | − | 8.26961i | 0.679757 | − | 0.679757i | ||||
\(149\) | 0.600793 | + | 2.24219i | 0.0492189 | + | 0.183687i | 0.986159 | − | 0.165803i | \(-0.0530215\pi\) |
−0.936940 | + | 0.349490i | \(0.886355\pi\) | |||||||
\(150\) | −1.85902 | + | 1.85902i | −0.151789 | + | 0.151789i | ||||
\(151\) | −13.1629 | + | 3.52700i | −1.07118 | + | 0.287023i | −0.750980 | − | 0.660325i | \(-0.770418\pi\) |
−0.320205 | + | 0.947348i | \(0.603752\pi\) | |||||||
\(152\) | 1.61206 | + | 0.930720i | 0.130755 | + | 0.0754914i | ||||
\(153\) | −0.0230331 | + | 0.0398944i | −0.00186211 | + | 0.00322527i | ||||
\(154\) | −0.456605 | − | 1.29214i | −0.0367943 | − | 0.104123i | ||||
\(155\) | 2.81310i | 0.225954i | ||||||||
\(156\) | −4.55055 | + | 3.89274i | −0.364336 | + | 0.311669i | ||||
\(157\) | 3.81144 | + | 2.20054i | 0.304186 | + | 0.175622i | 0.644322 | − | 0.764754i | \(-0.277140\pi\) |
−0.340136 | + | 0.940376i | \(0.610473\pi\) | |||||||
\(158\) | 5.32857 | + | 1.42778i | 0.423918 | + | 0.113588i | ||||
\(159\) | − | 9.78449i | − | 0.775960i | ||||||
\(160\) | 1.90717 | + | 3.30331i | 0.150775 | + | 0.261150i | ||||
\(161\) | −1.54412 | + | 8.30061i | −0.121694 | + | 0.654180i | ||||
\(162\) | 0.562494 | + | 0.150720i | 0.0441937 | + | 0.0118417i | ||||
\(163\) | −0.294730 | + | 0.0789727i | −0.0230850 | + | 0.00618562i | −0.270343 | − | 0.962764i | \(-0.587137\pi\) |
0.247258 | + | 0.968950i | \(0.420470\pi\) | |||||||
\(164\) | −3.81074 | − | 14.2219i | −0.297569 | − | 1.11054i | ||||
\(165\) | −0.619666 | −0.0482409 | ||||||||
\(166\) | 2.88542 | 0.223952 | ||||||||
\(167\) | 0.106108 | + | 0.396000i | 0.00821087 | + | 0.0306434i | 0.969910 | − | 0.243465i | \(-0.0782840\pi\) |
−0.961699 | + | 0.274108i | \(0.911617\pi\) | |||||||
\(168\) | −5.08932 | − | 2.43163i | −0.392650 | − | 0.187604i | ||||
\(169\) | −12.1292 | + | 4.67791i | −0.933014 | + | 0.359839i | ||||
\(170\) | 0.00934431 | + | 0.0161848i | 0.000716676 | + | 0.00124132i | ||||
\(171\) | −0.225988 | + | 0.843398i | −0.0172817 | + | 0.0644963i | ||||
\(172\) | 1.23916 | + | 2.14629i | 0.0944851 | + | 0.163653i | ||||
\(173\) | −1.03796 | + | 1.79781i | −0.0789149 | + | 0.136685i | −0.902782 | − | 0.430098i | \(-0.858479\pi\) |
0.823867 | + | 0.566783i | \(0.191812\pi\) | |||||||
\(174\) | 3.36209 | + | 3.36209i | 0.254879 | + | 0.254879i | ||||
\(175\) | 9.07766 | + | 7.76347i | 0.686207 | + | 0.586863i | ||||
\(176\) | 0.478915 | − | 1.78734i | 0.0360996 | − | 0.134725i | ||||
\(177\) | 2.28980 | − | 8.54567i | 0.172112 | − | 0.642332i | ||||
\(178\) | − | 3.04514i | − | 0.228243i | ||||||
\(179\) | 11.6148 | − | 6.70581i | 0.868131 | − | 0.501216i | 0.00140439 | − | 0.999999i | \(-0.499553\pi\) |
0.866727 | + | 0.498783i | \(0.166220\pi\) | |||||||
\(180\) | −0.818174 | + | 0.818174i | −0.0609831 | + | 0.0609831i | ||||
\(181\) | −2.32661 | −0.172935 | −0.0864677 | − | 0.996255i | \(-0.527558\pi\) | ||||
−0.0864677 | + | 0.996255i | \(0.527558\pi\) | |||||||
\(182\) | −3.92857 | − | 3.92759i | −0.291205 | − | 0.291132i | ||||
\(183\) | 1.01326 | 0.0749022 | ||||||||
\(184\) | 4.81054 | − | 4.81054i | 0.354638 | − | 0.354638i | ||||
\(185\) | 4.24827 | − | 2.45274i | 0.312339 | − | 0.180329i | ||||
\(186\) | 2.35147i | 0.172418i | ||||||||
\(187\) | 0.0106051 | − | 0.0395787i | 0.000775520 | − | 0.00289428i | ||||
\(188\) | 5.39762 | − | 20.1442i | 0.393662 | − | 1.46917i | ||||
\(189\) | 0.483875 | − | 2.60113i | 0.0351967 | − | 0.189204i | ||||
\(190\) | 0.250478 | + | 0.250478i | 0.0181716 | + | 0.0181716i | ||||
\(191\) | −11.4976 | + | 19.9143i | −0.831934 | + | 1.44095i | 0.0645691 | + | 0.997913i | \(0.479433\pi\) |
−0.896503 | + | 0.443038i | \(0.853901\pi\) | |||||||
\(192\) | −0.486103 | − | 0.841955i | −0.0350815 | − | 0.0607629i | ||||
\(193\) | 1.74638 | − | 6.51759i | 0.125707 | − | 0.469146i | −0.874157 | − | 0.485644i | \(-0.838585\pi\) |
0.999864 | + | 0.0164980i | \(0.00525171\pi\) | |||||||
\(194\) | −0.324719 | − | 0.562430i | −0.0233135 | − | 0.0403801i | ||||
\(195\) | −2.26630 | + | 1.08316i | −0.162293 | + | 0.0775670i | ||||
\(196\) | −4.18084 | + | 10.8484i | −0.298632 | + | 0.774889i | ||||
\(197\) | 3.30495 | + | 12.3342i | 0.235468 | + | 0.878778i | 0.977937 | + | 0.208898i | \(0.0669876\pi\) |
−0.742470 | + | 0.669880i | \(0.766346\pi\) | |||||||
\(198\) | −0.517977 | −0.0368110 | ||||||||
\(199\) | 0.830455 | 0.0588694 | 0.0294347 | − | 0.999567i | \(-0.490629\pi\) | ||||
0.0294347 | + | 0.999567i | \(0.490629\pi\) | |||||||
\(200\) | −2.49105 | − | 9.29672i | −0.176144 | − | 0.657377i | ||||
\(201\) | 2.42048 | − | 0.648566i | 0.170728 | − | 0.0457463i | ||||
\(202\) | −8.21665 | − | 2.20165i | −0.578122 | − | 0.154907i | ||||
\(203\) | 14.0404 | − | 16.4172i | 0.985444 | − | 1.15226i | ||||
\(204\) | −0.0382552 | − | 0.0662600i | −0.00267840 | − | 0.00463913i | ||||
\(205\) | − | 6.17583i | − | 0.431339i | ||||||
\(206\) | 7.13977 | + | 1.91310i | 0.497451 | + | 0.133292i | ||||
\(207\) | 2.76363 | + | 1.59558i | 0.192085 | + | 0.110900i | ||||
\(208\) | −1.37269 | − | 7.37395i | −0.0951792 | − | 0.511292i | ||||
\(209\) | − | 0.776649i | − | 0.0537220i | ||||||
\(210\) | −0.815726 | − | 0.697631i | −0.0562904 | − | 0.0481411i | ||||
\(211\) | 11.5683 | − | 20.0368i | 0.796392 | − | 1.37939i | −0.125560 | − | 0.992086i | \(-0.540073\pi\) |
0.921952 | − | 0.387305i | \(-0.126594\pi\) | |||||||
\(212\) | 14.0737 | + | 8.12545i | 0.966585 | + | 0.558058i | ||||
\(213\) | −0.798336 | + | 0.213913i | −0.0547011 | + | 0.0146571i | ||||
\(214\) | −4.85574 | + | 4.85574i | −0.331931 | + | 0.331931i | ||||
\(215\) | 0.269052 | + | 1.00411i | 0.0183492 | + | 0.0684801i | ||||
\(216\) | −1.50746 | + | 1.50746i | −0.102570 | + | 0.102570i | ||||
\(217\) | 10.6511 | − | 0.831155i | 0.723045 | − | 0.0564225i | ||||
\(218\) | −1.73146 | − | 0.999657i | −0.117269 | − | 0.0677053i | ||||
\(219\) | −11.1803 | − | 11.1803i | −0.755492 | − | 0.755492i | ||||
\(220\) | 0.514596 | − | 0.891307i | 0.0346941 | − | 0.0600919i | ||||
\(221\) | −0.0303969 | − | 0.163289i | −0.00204472 | − | 0.0109840i | ||||
\(222\) | 3.55112 | − | 2.05024i | 0.238336 | − | 0.137603i | ||||
\(223\) | −13.8755 | + | 3.71792i | −0.929171 | + | 0.248971i | −0.691501 | − | 0.722375i | \(-0.743050\pi\) |
−0.237670 | + | 0.971346i | \(0.576384\pi\) | |||||||
\(224\) | 11.9437 | − | 8.19701i | 0.798021 | − | 0.547686i | ||||
\(225\) | 3.90981 | − | 2.25733i | 0.260654 | − | 0.150489i | ||||
\(226\) | −8.47643 | − | 2.27125i | −0.563844 | − | 0.151081i | ||||
\(227\) | −14.5357 | − | 14.5357i | −0.964765 | − | 0.964765i | 0.0346350 | − | 0.999400i | \(-0.488973\pi\) |
−0.999400 | + | 0.0346350i | \(0.988973\pi\) | |||||||
\(228\) | −1.02545 | − | 1.02545i | −0.0679119 | − | 0.0679119i | ||||
\(229\) | 3.99397 | + | 1.07018i | 0.263929 | + | 0.0707196i | 0.388357 | − | 0.921509i | \(-0.373043\pi\) |
−0.124428 | + | 0.992229i | \(0.539709\pi\) | |||||||
\(230\) | 1.12118 | − | 0.647313i | 0.0739283 | − | 0.0426826i | ||||
\(231\) | 0.183085 | + | 2.34621i | 0.0120461 | + | 0.154369i | ||||
\(232\) | −16.8133 | + | 4.50512i | −1.10385 | + | 0.295775i | ||||
\(233\) | −1.72269 | + | 0.994594i | −0.112857 | + | 0.0651580i | −0.555366 | − | 0.831606i | \(-0.687422\pi\) |
0.442509 | + | 0.896764i | \(0.354088\pi\) | |||||||
\(234\) | −1.89440 | + | 0.905414i | −0.123841 | + | 0.0591888i | ||||
\(235\) | 4.37380 | − | 7.57564i | 0.285315 | − | 0.494180i | ||||
\(236\) | 10.3903 | + | 10.3903i | 0.676348 | + | 0.676348i | ||||
\(237\) | −8.20394 | − | 4.73655i | −0.532903 | − | 0.307672i | ||||
\(238\) | 0.0585190 | − | 0.0401619i | 0.00379322 | − | 0.00260331i | ||||
\(239\) | 10.1339 | − | 10.1339i | 0.655510 | − | 0.655510i | −0.298805 | − | 0.954314i | \(-0.596588\pi\) |
0.954314 | + | 0.298805i | \(0.0965879\pi\) | |||||||
\(240\) | −0.375097 | − | 1.39988i | −0.0242124 | − | 0.0903620i | ||||
\(241\) | −19.5579 | + | 19.5579i | −1.25984 | + | 1.25984i | −0.308664 | + | 0.951171i | \(0.599882\pi\) |
−0.951171 | + | 0.308664i | \(0.900118\pi\) | |||||||
\(242\) | −5.74241 | + | 1.53867i | −0.369136 | + | 0.0989097i | ||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | −0.841452 | + | 1.45744i | −0.0538684 | + | 0.0933029i | ||||
\(245\) | −2.87164 | + | 3.94147i | −0.183462 | + | 0.251811i | ||||
\(246\) | − | 5.16236i | − | 0.329140i | ||||||
\(247\) | −1.35757 | − | 2.84044i | −0.0863800 | − | 0.180733i | ||||
\(248\) | −7.45513 | − | 4.30422i | −0.473401 | − | 0.273318i | ||||
\(249\) | −4.78606 | − | 1.28242i | −0.303304 | − | 0.0812701i | ||||
\(250\) | − | 3.86002i | − | 0.244129i | ||||||
\(251\) | −3.92297 | − | 6.79478i | −0.247616 | − | 0.428883i | 0.715248 | − | 0.698871i | \(-0.246314\pi\) |
−0.962864 | + | 0.269988i | \(0.912980\pi\) | |||||||
\(252\) | 3.33955 | + | 2.85607i | 0.210372 | + | 0.179916i | ||||
\(253\) | −2.74175 | − | 0.734651i | −0.172373 | − | 0.0461871i | ||||
\(254\) | 4.01127 | − | 1.07482i | 0.251690 | − | 0.0674401i | ||||
\(255\) | −0.00830614 | − | 0.0309989i | −0.000520151 | − | 0.00194123i | ||||
\(256\) | −4.76207 | −0.297629 | ||||||||
\(257\) | −0.363807 | −0.0226936 | −0.0113468 | − | 0.999936i | \(-0.503612\pi\) | ||||
−0.0113468 | + | 0.999936i | \(0.503612\pi\) | |||||||
\(258\) | 0.224900 | + | 0.839337i | 0.0140017 | + | 0.0522549i | ||||
\(259\) | −10.5419 | − | 15.3604i | −0.655041 | − | 0.954446i | ||||
\(260\) | 0.324044 | − | 4.15928i | 0.0200964 | − | 0.257948i | ||||
\(261\) | −4.08244 | − | 7.07099i | −0.252697 | − | 0.437683i | ||||
\(262\) | 2.06739 | − | 7.71559i | 0.127724 | − | 0.476671i | ||||
\(263\) | −11.1731 | − | 19.3524i | −0.688963 | − | 1.19332i | −0.972174 | − | 0.234261i | \(-0.924733\pi\) |
0.283211 | − | 0.959058i | \(-0.408600\pi\) | |||||||
\(264\) | 0.948127 | − | 1.64220i | 0.0583532 | − | 0.101071i | ||||
\(265\) | 4.81997 | + | 4.81997i | 0.296088 | + | 0.296088i | ||||
\(266\) | 0.874367 | − | 1.02238i | 0.0536109 | − | 0.0626861i | ||||
\(267\) | −1.35341 | + | 5.05100i | −0.0828274 | + | 0.309116i | ||||
\(268\) | −1.07719 | + | 4.02014i | −0.0658000 | + | 0.245569i | ||||
\(269\) | 26.2941i | 1.60318i | 0.597874 | + | 0.801590i | \(0.296012\pi\) | ||||
−0.597874 | + | 0.801590i | \(0.703988\pi\) | |||||||
\(270\) | −0.351339 | + | 0.202846i | −0.0213818 | + | 0.0123448i | ||||
\(271\) | 0.167050 | − | 0.167050i | 0.0101476 | − | 0.0101476i | −0.702015 | − | 0.712162i | \(-0.747716\pi\) |
0.712162 | + | 0.702015i | \(0.247716\pi\) | |||||||
\(272\) | 0.0958314 | 0.00581063 | ||||||||
\(273\) | 4.77073 | + | 8.26076i | 0.288738 | + | 0.499964i | ||||
\(274\) | −6.79925 | −0.410758 | ||||||||
\(275\) | −2.83953 | + | 2.83953i | −0.171230 | + | 0.171230i | ||||
\(276\) | −4.59006 | + | 2.65007i | −0.276289 | + | 0.159516i | ||||
\(277\) | 1.88689i | 0.113372i | 0.998392 | + | 0.0566860i | \(0.0180534\pi\) | ||||
−0.998392 | + | 0.0566860i | \(0.981947\pi\) | |||||||
\(278\) | 0.145310 | − | 0.542305i | 0.00871513 | − | 0.0325253i | ||||
\(279\) | 1.04511 | − | 3.90039i | 0.0625689 | − | 0.233510i | ||||
\(280\) | 3.70492 | − | 1.30922i | 0.221411 | − | 0.0782407i | ||||
\(281\) | 14.2823 | + | 14.2823i | 0.852011 | + | 0.852011i | 0.990381 | − | 0.138370i | \(-0.0441863\pi\) |
−0.138370 | + | 0.990381i | \(0.544186\pi\) | |||||||
\(282\) | 3.65605 | − | 6.33246i | 0.217714 | − | 0.377092i | ||||
\(283\) | 8.56272 | + | 14.8311i | 0.509001 | + | 0.881615i | 0.999946 | + | 0.0104246i | \(0.00331831\pi\) |
−0.490945 | + | 0.871191i | \(0.663348\pi\) | |||||||
\(284\) | 0.355285 | − | 1.32594i | 0.0210823 | − | 0.0786802i | ||||
\(285\) | −0.304145 | − | 0.526794i | −0.0180160 | − | 0.0312046i | ||||
\(286\) | 1.41917 | − | 1.21402i | 0.0839174 | − | 0.0717867i | ||||
\(287\) | −23.3833 | + | 1.82470i | −1.38027 | + | 0.107709i | ||||
\(288\) | −1.41708 | − | 5.28861i | −0.0835022 | − | 0.311634i | ||||
\(289\) | −16.9979 | −0.999875 | ||||||||
\(290\) | −3.31242 | −0.194512 | ||||||||
\(291\) | 0.288642 | + | 1.07723i | 0.0169205 | + | 0.0631481i | ||||
\(292\) | 25.3659 | − | 6.79677i | 1.48443 | − | 0.397751i | ||||
\(293\) | −0.0551536 | − | 0.0147783i | −0.00322210 | − | 0.000863360i | 0.257208 | − | 0.966356i | \(-0.417198\pi\) |
−0.260430 | + | 0.965493i | \(0.583864\pi\) | |||||||
\(294\) | −2.40040 | + | 3.29466i | −0.139994 | + | 0.192149i | ||||
\(295\) | 3.08172 | + | 5.33770i | 0.179425 | + | 0.310773i | ||||
\(296\) | 15.0114i | 0.872519i | ||||||||
\(297\) | 0.859171 | + | 0.230214i | 0.0498542 | + | 0.0133584i | ||||
\(298\) | −1.17067 | − | 0.675886i | −0.0678150 | − | 0.0391530i | ||||
\(299\) | −11.3116 | + | 2.10570i | −0.654165 | + | 0.121776i | ||||
\(300\) | 7.49833i | 0.432916i | ||||||||
\(301\) | 3.72234 | − | 1.31537i | 0.214552 | − | 0.0758168i | ||||
\(302\) | 3.96783 | − | 6.87249i | 0.228323 | − | 0.395467i | ||||
\(303\) | 12.6505 | + | 7.30376i | 0.726752 | + | 0.419590i | ||||
\(304\) | 1.75452 | − | 0.470123i | 0.100629 | − | 0.0269634i | ||||
\(305\) | −0.499145 | + | 0.499145i | −0.0285809 | + | 0.0285809i | ||||
\(306\) | −0.00694308 | − | 0.0259119i | −0.000396910 | − | 0.00148129i | ||||
\(307\) | 17.7169 | − | 17.7169i | 1.01116 | − | 1.01116i | 0.0112203 | − | 0.999937i | \(-0.496428\pi\) |
0.999937 | − | 0.0112203i | \(-0.00357162\pi\) | |||||||
\(308\) | −3.52675 | − | 1.68505i | −0.200955 | − | 0.0960144i | ||||
\(309\) | −10.9925 | − | 6.34652i | −0.625342 | − | 0.361041i | ||||
\(310\) | −1.15836 | − | 1.15836i | −0.0657907 | − | 0.0657907i | ||||
\(311\) | −9.52232 | + | 16.4931i | −0.539961 | + | 0.935240i | 0.458944 | + | 0.888465i | \(0.348228\pi\) |
−0.998905 | + | 0.0467749i | \(0.985106\pi\) | |||||||
\(312\) | 0.597041 | − | 7.66334i | 0.0338008 | − | 0.433851i | ||||
\(313\) | −2.59097 | + | 1.49590i | −0.146450 | + | 0.0845530i | −0.571435 | − | 0.820648i | \(-0.693613\pi\) |
0.424984 | + | 0.905201i | \(0.360280\pi\) | |||||||
\(314\) | −2.47558 | + | 0.663329i | −0.139705 | + | 0.0374338i | ||||
\(315\) | 1.04299 | + | 1.51971i | 0.0587657 | + | 0.0856262i | ||||
\(316\) | 13.6258 | − | 7.86686i | 0.766511 | − | 0.442545i | ||||
\(317\) | 0.683930 | + | 0.183258i | 0.0384133 | + | 0.0102928i | 0.277975 | − | 0.960588i | \(-0.410337\pi\) |
−0.239561 | + | 0.970881i | \(0.577004\pi\) | |||||||
\(318\) | 4.02900 | + | 4.02900i | 0.225935 | + | 0.225935i | ||||
\(319\) | 5.13536 | + | 5.13536i | 0.287525 | + | 0.287525i | ||||
\(320\) | 0.654219 | + | 0.175298i | 0.0365720 | + | 0.00979943i | ||||
\(321\) | 10.2124 | − | 5.89611i | 0.569999 | − | 0.329089i | ||||
\(322\) | −2.78215 | − | 4.05381i | −0.155043 | − | 0.225910i | ||||
\(323\) | 0.0388521 | − | 0.0104104i | 0.00216179 | − | 0.000579249i | ||||
\(324\) | 1.43837 | − | 0.830442i | 0.0799093 | − | 0.0461357i | ||||
\(325\) | −5.42156 | + | 15.3485i | −0.300734 | + | 0.851379i | ||||
\(326\) | 0.0888434 | − | 0.153881i | 0.00492058 | − | 0.00852269i | ||||
\(327\) | 2.42768 | + | 2.42768i | 0.134251 | + | 0.134251i | ||||
\(328\) | 16.3669 | + | 9.44941i | 0.903708 | + | 0.521756i | ||||
\(329\) | −29.9755 | − | 14.3220i | −1.65261 | − | 0.789598i | ||||
\(330\) | 0.255162 | − | 0.255162i | 0.0140462 | − | 0.0140462i | ||||
\(331\) | −2.45661 | − | 9.16821i | −0.135028 | − | 0.503930i | −0.999998 | − | 0.00210683i | \(-0.999329\pi\) |
0.864970 | − | 0.501823i | \(-0.167337\pi\) | |||||||
\(332\) | 5.81913 | − | 5.81913i | 0.319366 | − | 0.319366i | ||||
\(333\) | −6.80150 | + | 1.82246i | −0.372720 | + | 0.0998699i | ||||
\(334\) | −0.206755 | − | 0.119370i | −0.0113131 | − | 0.00653164i | ||||
\(335\) | −0.872869 | + | 1.51185i | −0.0476899 | + | 0.0826014i | ||||
\(336\) | −5.18948 | + | 1.83382i | −0.283109 | + | 0.100043i | ||||
\(337\) | − | 28.3561i | − | 1.54465i | −0.635226 | − | 0.772327i | \(-0.719093\pi\) | ||
0.635226 | − | 0.772327i | \(-0.280907\pi\) | |||||||
\(338\) | 3.06825 | − | 6.92073i | 0.166891 | − | 0.376438i | ||||
\(339\) | 13.0504 | + | 7.53468i | 0.708803 | + | 0.409228i | ||||
\(340\) | 0.0514856 | + | 0.0137955i | 0.00279220 | + | 0.000748167i | ||||
\(341\) | 3.59170i | 0.194502i | ||||||||
\(342\) | −0.254234 | − | 0.440346i | −0.0137474 | − | 0.0238112i | ||||
\(343\) | 15.7718 | + | 9.70820i | 0.851599 | + | 0.524194i | ||||
\(344\) | −3.07272 | − | 0.823332i | −0.165670 | − | 0.0443911i | ||||
\(345\) | −2.14740 | + | 0.575395i | −0.115612 | + | 0.0309782i | ||||
\(346\) | −0.312884 | − | 1.16770i | −0.0168207 | − | 0.0627758i | ||||
\(347\) | −22.3797 | −1.20140 | −0.600702 | − | 0.799473i | \(-0.705112\pi\) | ||||
−0.600702 | + | 0.799473i | \(0.705112\pi\) | |||||||
\(348\) | 13.5609 | 0.726941 | ||||||||
\(349\) | −2.36174 | − | 8.81412i | −0.126421 | − | 0.471809i | 0.873465 | − | 0.486886i | \(-0.161867\pi\) |
−0.999886 | + | 0.0150770i | \(0.995201\pi\) | |||||||
\(350\) | −6.93475 | + | 0.541150i | −0.370678 | + | 0.0289257i | ||||
\(351\) | 3.54466 | − | 0.659853i | 0.189200 | − | 0.0352204i | ||||
\(352\) | 2.43503 | + | 4.21759i | 0.129787 | + | 0.224798i | ||||
\(353\) | 0.743912 | − | 2.77632i | 0.0395945 | − | 0.147769i | −0.943299 | − | 0.331945i | \(-0.892295\pi\) |
0.982893 | + | 0.184177i | \(0.0589618\pi\) | |||||||
\(354\) | 2.57600 | + | 4.46177i | 0.136913 | + | 0.237140i | ||||
\(355\) | 0.287894 | − | 0.498648i | 0.0152798 | − | 0.0264655i | ||||
\(356\) | −6.14126 | − | 6.14126i | −0.325486 | − | 0.325486i | ||||
\(357\) | −0.114916 | + | 0.0406080i | −0.00608198 | + | 0.00214920i | ||||
\(358\) | −2.02140 | + | 7.54396i | −0.106834 | + | 0.398711i | ||||
\(359\) | 2.08854 | − | 7.79454i | 0.110229 | − | 0.411380i | −0.888657 | − | 0.458573i | \(-0.848361\pi\) |
0.998886 | + | 0.0471928i | \(0.0150275\pi\) | |||||||
\(360\) | − | 1.48519i | − | 0.0782763i | ||||||
\(361\) | −15.7942 | + | 9.11880i | −0.831275 | + | 0.479937i | ||||
\(362\) | 0.958038 | − | 0.958038i | 0.0503534 | − | 0.0503534i | ||||
\(363\) | 10.2088 | 0.535824 | ||||||||
\(364\) | −15.8438 | + | 0.00198181i | −0.830442 | + | 0.000103875i | ||||
\(365\) | 11.0151 | 0.576557 | ||||||||
\(366\) | −0.417234 | + | 0.417234i | −0.0218092 | + | 0.0218092i | ||||
\(367\) | −1.45417 | + | 0.839564i | −0.0759069 | + | 0.0438249i | −0.537473 | − | 0.843281i | \(-0.680621\pi\) |
0.461566 | + | 0.887106i | \(0.347288\pi\) | |||||||
\(368\) | − | 6.63857i | − | 0.346060i | ||||||
\(369\) | −2.29441 | + | 8.56284i | −0.119442 | + | 0.445764i | ||||
\(370\) | −0.739354 | + | 2.75931i | −0.0384372 | + | 0.143450i | ||||
\(371\) | 16.8255 | − | 19.6737i | 0.873537 | − | 1.02141i | ||||
\(372\) | 4.74230 | + | 4.74230i | 0.245877 | + | 0.245877i | ||||
\(373\) | 16.1379 | − | 27.9516i | 0.835587 | − | 1.44728i | −0.0579649 | − | 0.998319i | \(-0.518461\pi\) |
0.893552 | − | 0.448960i | \(-0.148206\pi\) | |||||||
\(374\) | 0.0119306 | + | 0.0206644i | 0.000616916 | + | 0.00106853i | ||||
\(375\) | −1.71558 | + | 6.40263i | −0.0885922 | + | 0.330630i | ||||
\(376\) | 13.3844 | + | 23.1824i | 0.690246 | + | 1.19554i | ||||
\(377\) | 27.7580 | + | 9.80502i | 1.42961 | + | 0.504984i | ||||
\(378\) | 0.871831 | + | 1.27033i | 0.0448421 | + | 0.0653385i | ||||
\(379\) | 5.38351 | + | 20.0915i | 0.276532 | + | 1.03203i | 0.954808 | + | 0.297224i | \(0.0960609\pi\) |
−0.678276 | + | 0.734808i | \(0.737272\pi\) | |||||||
\(380\) | 1.01030 | 0.0518272 | ||||||||
\(381\) | −7.13122 | −0.365344 | ||||||||
\(382\) | −3.46582 | − | 12.9346i | −0.177327 | − | 0.661793i | ||||
\(383\) | −27.1672 | + | 7.27943i | −1.38818 | + | 0.371962i | −0.874086 | − | 0.485772i | \(-0.838539\pi\) |
−0.514094 | + | 0.857734i | \(0.671872\pi\) | |||||||
\(384\) | 11.1241 | + | 2.98069i | 0.567673 | + | 0.152108i | ||||
\(385\) | −1.24596 | − | 1.06558i | −0.0635002 | − | 0.0543072i | ||||
\(386\) | 1.96466 | + | 3.40289i | 0.0999986 | + | 0.173203i | ||||
\(387\) | − | 1.49217i | − | 0.0758513i | ||||||
\(388\) | −1.78915 | − | 0.479401i | −0.0908302 | − | 0.0243379i | ||||
\(389\) | −9.23904 | − | 5.33416i | −0.468438 | − | 0.270453i | 0.247148 | − | 0.968978i | \(-0.420507\pi\) |
−0.715586 | + | 0.698525i | \(0.753840\pi\) | |||||||
\(390\) | 0.487186 | − | 1.37922i | 0.0246696 | − | 0.0698398i | ||||
\(391\) | − | 0.147004i | − | 0.00743433i | ||||||
\(392\) | −6.05168 | − | 13.6409i | −0.305656 | − | 0.688972i | ||||
\(393\) | −6.85837 | + | 11.8790i | −0.345959 | + | 0.599219i | ||||
\(394\) | −6.43981 | − | 3.71803i | −0.324433 | − | 0.187312i | ||||
\(395\) | 6.37466 | − | 1.70809i | 0.320744 | − | 0.0859431i | ||||
\(396\) | −1.04462 | + | 1.04462i | −0.0524944 | + | 0.0524944i | ||||
\(397\) | −0.614054 | − | 2.29168i | −0.0308185 | − | 0.115016i | 0.948803 | − | 0.315868i | \(-0.102296\pi\) |
−0.979622 | + | 0.200852i | \(0.935629\pi\) | |||||||
\(398\) | −0.341960 | + | 0.341960i | −0.0171409 | + | 0.0171409i | ||||
\(399\) | −1.90471 | + | 1.30721i | −0.0953549 | + | 0.0654426i | ||||
\(400\) | −8.13359 | − | 4.69593i | −0.406679 | − | 0.234797i | ||||
\(401\) | 22.0398 | + | 22.0398i | 1.10061 | + | 1.10061i | 0.994336 | + | 0.106278i | \(0.0338933\pi\) |
0.106278 | + | 0.994336i | \(0.466107\pi\) | |||||||
\(402\) | −0.729630 | + | 1.26376i | −0.0363906 | + | 0.0630304i | ||||
\(403\) | 6.27823 | + | 13.1359i | 0.312741 | + | 0.654347i | ||||
\(404\) | −21.0110 | + | 12.1307i | −1.04534 | + | 0.603525i | ||||
\(405\) | 0.672922 | − | 0.180309i | 0.0334378 | − | 0.00895963i | ||||
\(406\) | 0.978682 | + | 12.5416i | 0.0485712 | + | 0.622432i | ||||
\(407\) | 5.42410 | − | 3.13160i | 0.268862 | − | 0.155228i | ||||
\(408\) | 0.0948606 | + | 0.0254178i | 0.00469630 | + | 0.00125837i | ||||
\(409\) | 16.2736 | + | 16.2736i | 0.804679 | + | 0.804679i | 0.983823 | − | 0.179144i | \(-0.0573328\pi\) |
−0.179144 | + | 0.983823i | \(0.557333\pi\) | |||||||
\(410\) | 2.54305 | + | 2.54305i | 0.125592 | + | 0.125592i | ||||
\(411\) | 11.2780 | + | 3.02192i | 0.556300 | + | 0.149060i | ||||
\(412\) | 18.2573 | − | 10.5408i | 0.899471 | − | 0.519310i | ||||
\(413\) | 19.2994 | − | 13.2452i | 0.949659 | − | 0.651756i | ||||
\(414\) | −1.79501 | + | 0.480971i | −0.0882199 | + | 0.0236385i | ||||
\(415\) | 2.98941 | − | 1.72594i | 0.146745 | − | 0.0847230i | ||||
\(416\) | 16.2779 | + | 11.1686i | 0.798090 | + | 0.547586i | ||||
\(417\) | −0.482054 | + | 0.834941i | −0.0236063 | + | 0.0408873i | ||||
\(418\) | 0.319804 | + | 0.319804i | 0.0156421 | + | 0.0156421i | ||||
\(419\) | 15.0030 | + | 8.66198i | 0.732944 | + | 0.423166i | 0.819498 | − | 0.573082i | \(-0.194252\pi\) |
−0.0865540 | + | 0.996247i | \(0.527586\pi\) | |||||||
\(420\) | −3.05205 | + | 0.238165i | −0.148925 | + | 0.0116213i | ||||
\(421\) | −28.4825 | + | 28.4825i | −1.38815 | + | 1.38815i | −0.558947 | + | 0.829203i | \(0.688794\pi\) |
−0.829203 | + | 0.558947i | \(0.811206\pi\) | |||||||
\(422\) | 3.48714 | + | 13.0142i | 0.169751 | + | 0.633520i | ||||
\(423\) | −8.87876 | + | 8.87876i | −0.431700 | + | 0.431700i | ||||
\(424\) | −20.1485 | + | 5.39877i | −0.978497 | + | 0.262187i | ||||
\(425\) | −0.180110 | − | 0.103987i | −0.00873662 | − | 0.00504409i | ||||
\(426\) | 0.240650 | − | 0.416818i | 0.0116595 | − | 0.0201949i | ||||
\(427\) | 2.03736 | + | 1.74241i | 0.0985949 | + | 0.0843211i | ||||
\(428\) | 19.5855i | 0.946702i | ||||||||
\(429\) | −2.89356 | + | 1.38296i | −0.139702 | + | 0.0667698i | ||||
\(430\) | −0.524258 | − | 0.302680i | −0.0252819 | − | 0.0145965i | ||||
\(431\) | −32.7297 | − | 8.76990i | −1.57653 | − | 0.422431i | −0.638683 | − | 0.769470i | \(-0.720521\pi\) |
−0.937851 | + | 0.347039i | \(0.887187\pi\) | |||||||
\(432\) | 2.08030i | 0.100089i | ||||||||
\(433\) | 15.2303 | + | 26.3796i | 0.731921 | + | 1.26772i | 0.956061 | + | 0.293167i | \(0.0947091\pi\) |
−0.224141 | + | 0.974557i | \(0.571958\pi\) | |||||||
\(434\) | −4.04361 | + | 4.72811i | −0.194099 | + | 0.226956i | ||||
\(435\) | 5.49433 | + | 1.47220i | 0.263433 | + | 0.0705866i | ||||
\(436\) | −5.50794 | + | 1.47585i | −0.263783 | + | 0.0706804i | ||||
\(437\) | −0.721163 | − | 2.69142i | −0.0344979 | − | 0.128748i | ||||
\(438\) | 9.20750 | 0.439951 | ||||||||
\(439\) | −2.72571 | −0.130091 | −0.0650455 | − | 0.997882i | \(-0.520719\pi\) | ||||
−0.0650455 | + | 0.997882i | \(0.520719\pi\) | |||||||
\(440\) | 0.341912 | + | 1.27603i | 0.0163000 | + | 0.0608324i | ||||
\(441\) | 5.44586 | − | 4.39802i | 0.259327 | − | 0.209430i | ||||
\(442\) | 0.0797547 | + | 0.0547214i | 0.00379355 | + | 0.00260283i | ||||
\(443\) | −17.3901 | − | 30.1206i | −0.826229 | − | 1.43107i | −0.900976 | − | 0.433869i | \(-0.857148\pi\) |
0.0747467 | − | 0.997203i | \(-0.476185\pi\) | |||||||
\(444\) | 3.02689 | − | 11.2965i | 0.143650 | − | 0.536108i | ||||
\(445\) | −1.82148 | − | 3.15490i | −0.0863465 | − | 0.149557i | ||||
\(446\) | 4.18262 | − | 7.24452i | 0.198053 | − | 0.343038i | ||||
\(447\) | 1.64140 | + | 1.64140i | 0.0776355 | + | 0.0776355i | ||||
\(448\) | 0.470426 | − | 2.52883i | 0.0222255 | − | 0.119476i | ||||
\(449\) | 9.41298 | − | 35.1297i | 0.444226 | − | 1.65787i | −0.273746 | − | 0.961802i | \(-0.588263\pi\) |
0.717972 | − | 0.696072i | \(-0.245070\pi\) | |||||||
\(450\) | −0.680450 | + | 2.53947i | −0.0320767 | + | 0.119712i | ||||
\(451\) | − | 7.88516i | − | 0.371298i | ||||||
\(452\) | −21.6753 | + | 12.5142i | −1.01952 | + | 0.588620i | ||||
\(453\) | −9.63593 | + | 9.63593i | −0.452736 | + | 0.452736i | ||||
\(454\) | 11.9708 | 0.561818 | ||||||||
\(455\) | −6.41949 | − | 1.71924i | −0.300950 | − | 0.0805990i | ||||
\(456\) | 1.86144 | 0.0871700 | ||||||||
\(457\) | 22.5125 | − | 22.5125i | 1.05309 | − | 1.05309i | 0.0545801 | − | 0.998509i | \(-0.482618\pi\) |
0.998509 | − | 0.0545801i | \(-0.0173820\pi\) | |||||||
\(458\) | −2.08529 | + | 1.20394i | −0.0974392 | + | 0.0562566i | ||||
\(459\) | 0.0460661i | 0.00215018i | ||||||||
\(460\) | 0.955664 | − | 3.56659i | 0.0445581 | − | 0.166293i | ||||
\(461\) | −4.67038 | + | 17.4301i | −0.217521 | + | 0.811800i | 0.767743 | + | 0.640758i | \(0.221380\pi\) |
−0.985264 | + | 0.171042i | \(0.945287\pi\) | |||||||
\(462\) | −1.04150 | − | 0.890719i | −0.0484549 | − | 0.0414400i | ||||
\(463\) | 16.2446 | + | 16.2446i | 0.754951 | + | 0.754951i | 0.975399 | − | 0.220448i | \(-0.0707518\pi\) |
−0.220448 | + | 0.975399i | \(0.570752\pi\) | |||||||
\(464\) | −8.49270 | + | 14.7098i | −0.394264 | + | 0.682885i | ||||
\(465\) | 1.40655 | + | 2.43622i | 0.0652273 | + | 0.112977i | ||||
\(466\) | 0.299810 | − | 1.11891i | 0.0138884 | − | 0.0518323i | ||||
\(467\) | −18.7401 | − | 32.4588i | −0.867188 | − | 1.50201i | −0.864859 | − | 0.502016i | \(-0.832592\pi\) |
−0.00232895 | − | 0.999997i | \(-0.500741\pi\) | |||||||
\(468\) | −1.99452 | + | 5.64649i | −0.0921967 | + | 0.261009i | ||||
\(469\) | 5.98216 | + | 2.85821i | 0.276230 | + | 0.131980i | ||||
\(470\) | 1.31844 | + | 4.92047i | 0.0608149 | + | 0.226964i | ||||
\(471\) | 4.40107 | 0.202791 | ||||||||
\(472\) | −18.8609 | −0.868144 | ||||||||
\(473\) | 0.343519 | + | 1.28203i | 0.0157950 | + | 0.0589478i | ||||
\(474\) | 5.32857 | − | 1.42778i | 0.244749 | − | 0.0655803i | ||||
\(475\) | −3.80766 | − | 1.02026i | −0.174707 | − | 0.0468127i | ||||
\(476\) | 0.0370215 | − | 0.199013i | 0.00169688 | − | 0.00912177i | ||||
\(477\) | −4.89224 | − | 8.47362i | −0.224000 | − | 0.387980i | ||||
\(478\) | 8.34579i | 0.381728i | ||||||||
\(479\) | 25.8166 | + | 6.91755i | 1.17959 | + | 0.316071i | 0.794765 | − | 0.606918i | \(-0.207594\pi\) |
0.384828 | + | 0.922988i | \(0.374261\pi\) | |||||||
\(480\) | 3.30331 | + | 1.90717i | 0.150775 | + | 0.0870499i | ||||
\(481\) | 14.3636 | − | 20.9344i | 0.654922 | − | 0.954528i | ||||
\(482\) | − | 16.1069i | − | 0.733649i | ||||||
\(483\) | 2.81306 | + | 7.96060i | 0.127999 | + | 0.362220i | ||||
\(484\) | −8.47784 | + | 14.6840i | −0.385356 | + | 0.667456i | ||||
\(485\) | −0.672845 | − | 0.388467i | −0.0305523 | − | 0.0176394i | ||||
\(486\) | 0.562494 | − | 0.150720i | 0.0255153 | − | 0.00683679i | ||||
\(487\) | −17.5241 | + | 17.5241i | −0.794093 | + | 0.794093i | −0.982157 | − | 0.188064i | \(-0.939779\pi\) |
0.188064 | + | 0.982157i | \(0.439779\pi\) | |||||||
\(488\) | −0.559083 | − | 2.08653i | −0.0253085 | − | 0.0944527i | ||||
\(489\) | −0.215757 | + | 0.215757i | −0.00975689 | + | 0.00975689i | ||||
\(490\) | −0.440529 | − | 2.80546i | −0.0199011 | − | 0.126738i | ||||
\(491\) | 9.62086 | + | 5.55460i | 0.434183 | + | 0.250676i | 0.701127 | − | 0.713036i | \(-0.252681\pi\) |
−0.266944 | + | 0.963712i | \(0.586014\pi\) | |||||||
\(492\) | −10.4111 | − | 10.4111i | −0.469371 | − | 0.469371i | ||||
\(493\) | −0.188062 | + | 0.325733i | −0.00846989 | + | 0.0146703i | ||||
\(494\) | 1.72863 | + | 0.610608i | 0.0777748 | + | 0.0274726i | ||||
\(495\) | −0.536646 | + | 0.309833i | −0.0241204 | + | 0.0139259i | ||||
\(496\) | −8.11399 | + | 2.17414i | −0.364329 | + | 0.0976216i | ||||
\(497\) | −1.97307 | − | 0.942711i | −0.0885041 | − | 0.0422863i | ||||
\(498\) | 2.49884 | − | 1.44271i | 0.111976 | − | 0.0646493i | ||||
\(499\) | −0.179598 | − | 0.0481231i | −0.00803990 | − | 0.00215428i | 0.254797 | − | 0.966995i | \(-0.417991\pi\) |
−0.262837 | + | 0.964840i | \(0.584658\pi\) | |||||||
\(500\) | −7.78465 | − | 7.78465i | −0.348140 | − | 0.348140i | ||||
\(501\) | 0.289892 | + | 0.289892i | 0.0129514 | + | 0.0129514i | ||||
\(502\) | 4.41330 | + | 1.18254i | 0.196975 | + | 0.0527793i | ||||
\(503\) | 0.488766 | − | 0.282189i | 0.0217930 | − | 0.0125822i | −0.489064 | − | 0.872248i | \(-0.662662\pi\) |
0.510857 | + | 0.859666i | \(0.329328\pi\) | |||||||
\(504\) | −5.62330 | + | 0.438812i | −0.250482 | + | 0.0195462i | ||||
\(505\) | −9.82973 | + | 2.63387i | −0.437417 | + | 0.117206i | ||||
\(506\) | 1.43149 | − | 0.826474i | 0.0636377 | − | 0.0367412i | ||||
\(507\) | −8.16523 | + | 10.1158i | −0.362631 | + | 0.449258i | ||||
\(508\) | 5.92207 | − | 10.2573i | 0.262749 | − | 0.455095i | ||||
\(509\) | 16.1364 | + | 16.1364i | 0.715235 | + | 0.715235i | 0.967625 | − | 0.252390i | \(-0.0812167\pi\) |
−0.252390 | + | 0.967625i | \(0.581217\pi\) | |||||||
\(510\) | 0.0161848 | + | 0.00934431i | 0.000716676 | + | 0.000413773i | ||||
\(511\) | −3.25450 | − | 41.7059i | −0.143971 | − | 1.84496i | ||||
\(512\) | −14.3259 | + | 14.3259i | −0.633121 | + | 0.633121i | ||||
\(513\) | 0.225988 | + | 0.843398i | 0.00997761 | + | 0.0372369i | ||||
\(514\) | 0.149806 | − | 0.149806i | 0.00660767 | − | 0.00660767i | ||||
\(515\) | 8.54144 | − | 2.28867i | 0.376381 | − | 0.100851i | ||||
\(516\) | 2.14629 | + | 1.23916i | 0.0944851 | + | 0.0545510i | ||||
\(517\) | 5.58436 | − | 9.67239i | 0.245600 | − | 0.425391i | ||||
\(518\) | 10.6659 | + | 1.98412i | 0.468632 | + | 0.0871772i | ||||
\(519\) | 2.07593i | 0.0911231i | ||||||||
\(520\) | 3.48095 | + | 4.06917i | 0.152650 | + | 0.178445i | ||||
\(521\) | 20.6918 | + | 11.9464i | 0.906523 | + | 0.523381i | 0.879311 | − | 0.476249i | \(-0.158004\pi\) |
0.0272119 | + | 0.999630i | \(0.491337\pi\) | |||||||
\(522\) | 4.59270 | + | 1.23061i | 0.201017 | + | 0.0538623i | ||||
\(523\) | 32.7387i | 1.43156i | 0.698324 | + | 0.715782i | \(0.253929\pi\) | ||||
−0.698324 | + | 0.715782i | \(0.746071\pi\) | |||||||
\(524\) | −11.3910 | − | 19.7297i | −0.497616 | − | 0.861897i | ||||
\(525\) | 11.7432 | + | 2.18453i | 0.512516 | + | 0.0953408i | ||||
\(526\) | 12.5696 | + | 3.36802i | 0.548061 | + | 0.146853i | ||||
\(527\) | −0.179676 | + | 0.0481440i | −0.00782680 | + | 0.00209719i | ||||
\(528\) | −0.478915 | − | 1.78734i | −0.0208421 | − | 0.0777838i | ||||
\(529\) | 12.8165 | 0.557239 | ||||||||
\(530\) | −3.96948 | −0.172423 | ||||||||
\(531\) | −2.28980 | − | 8.54567i | −0.0993691 | − | 0.370850i | ||||
\(532\) | −0.298501 | − | 3.82524i | −0.0129417 | − | 0.165845i | ||||
\(533\) | −13.7831 | − | 28.8384i | −0.597013 | − | 1.24913i | ||||
\(534\) | −1.52257 | − | 2.63717i | −0.0658881 | − | 0.114122i | ||||
\(535\) | −2.12625 | + | 7.93526i | −0.0919256 | + | 0.343071i | ||||
\(536\) | −2.67109 | − | 4.62646i | −0.115373 | − | 0.199833i | ||||
\(537\) | 6.70581 | − | 11.6148i | 0.289377 | − | 0.501216i | ||||
\(538\) | −10.8272 | − | 10.8272i | −0.466796 | − | 0.466796i | ||||
\(539\) | −3.66644 | + | 5.03237i | −0.157925 | + | 0.216760i | ||||
\(540\) | −0.299472 | + | 1.11765i | −0.0128872 | + | 0.0480958i | ||||
\(541\) | −4.57076 | + | 17.0583i | −0.196512 | + | 0.733394i | 0.795358 | + | 0.606140i | \(0.207283\pi\) |
−0.991870 | + | 0.127254i | \(0.959384\pi\) | |||||||
\(542\) | 0.137574i | 0.00590931i | ||||||||
\(543\) | −2.01490 | + | 1.16330i | −0.0864677 | + | 0.0499222i | ||||
\(544\) | −0.178346 | + | 0.178346i | −0.00764654 | + | 0.00764654i | ||||
\(545\) | −2.39182 | −0.102454 | ||||||||
\(546\) | −5.36603 | − | 1.43711i | −0.229645 | − | 0.0615024i | ||||
\(547\) | 24.8672 | 1.06324 | 0.531621 | − | 0.846982i | \(-0.321583\pi\) | ||||
0.531621 | + | 0.846982i | \(0.321583\pi\) | |||||||
\(548\) | −13.7123 | + | 13.7123i | −0.585761 | + | 0.585761i | ||||
\(549\) | 0.877507 | − | 0.506629i | 0.0374511 | − | 0.0216224i | ||||
\(550\) | − | 2.33849i | − | 0.0997136i | ||||||
\(551\) | −1.84516 | + | 6.88624i | −0.0786066 | + | 0.293364i | ||||
\(552\) | 1.76078 | − | 6.57132i | 0.0749438 | − | 0.279694i | ||||
\(553\) | −8.35069 | − | 23.6314i | −0.355107 | − | 1.00491i | ||||
\(554\) | −0.776972 | − | 0.776972i | −0.0330104 | − | 0.0330104i | ||||
\(555\) | 2.45274 | − | 4.24827i | 0.104113 | − | 0.180329i | ||||
\(556\) | −0.800635 | − | 1.38674i | −0.0339545 | − | 0.0588109i | ||||
\(557\) | 9.42880 | − | 35.1888i | 0.399511 | − | 1.49100i | −0.414448 | − | 0.910073i | \(-0.636025\pi\) |
0.813959 | − | 0.580922i | \(-0.197308\pi\) | |||||||
\(558\) | 1.17573 | + | 2.03643i | 0.0497728 | + | 0.0862090i | ||||
\(559\) | 3.49732 | + | 4.08830i | 0.147921 | + | 0.172917i | ||||
\(560\) | 1.65304 | − | 3.45977i | 0.0698538 | − | 0.146202i | ||||
\(561\) | −0.0106051 | − | 0.0395787i | −0.000447747 | − | 0.00167101i | ||||
\(562\) | −11.7622 | −0.496157 | ||||||||
\(563\) | −39.9539 | −1.68386 | −0.841928 | − | 0.539590i | \(-0.818579\pi\) | ||||
−0.841928 | + | 0.539590i | \(0.818579\pi\) | |||||||
\(564\) | −5.39762 | − | 20.1442i | −0.227281 | − | 0.848224i | ||||
\(565\) | −10.1405 | + | 2.71714i | −0.426614 | + | 0.114311i | ||||
\(566\) | −9.63296 | − | 2.58114i | −0.404904 | − | 0.108494i | ||||
\(567\) | −0.881516 | − | 2.49458i | −0.0370202 | − | 0.104763i | ||||
\(568\) | 0.880992 | + | 1.52592i | 0.0369656 | + | 0.0640263i | ||||
\(569\) | − | 26.1438i | − | 1.09600i | −0.836477 | − | 0.548002i | \(-0.815389\pi\) | ||
0.836477 | − | 0.548002i | \(-0.184611\pi\) | |||||||
\(570\) | 0.342159 | + | 0.0916813i | 0.0143315 | + | 0.00384011i | ||||
\(571\) | 20.3089 | + | 11.7254i | 0.849902 | + | 0.490691i | 0.860618 | − | 0.509251i | \(-0.170078\pi\) |
−0.0107157 | + | 0.999943i | \(0.503411\pi\) | |||||||
\(572\) | 0.413732 | − | 5.31047i | 0.0172990 | − | 0.222042i | ||||
\(573\) | 22.9951i | 0.960634i | ||||||||
\(574\) | 8.87726 | − | 10.3800i | 0.370530 | − | 0.433253i | ||||
\(575\) | −7.20351 | + | 12.4768i | −0.300407 | + | 0.520320i | ||||
\(576\) | −0.841955 | − | 0.486103i | −0.0350815 | − | 0.0202543i | ||||
\(577\) | 15.6987 | − | 4.20645i | 0.653544 | − | 0.175117i | 0.0832134 | − | 0.996532i | \(-0.473482\pi\) |
0.570331 | + | 0.821415i | \(0.306815\pi\) | |||||||
\(578\) | 6.99929 | − | 6.99929i | 0.291132 | − | 0.291132i | ||||
\(579\) | −1.74638 | − | 6.51759i | −0.0725772 | − | 0.270862i | ||||
\(580\) | −6.68028 | + | 6.68028i | −0.277384 | + | 0.277384i | ||||
\(581\) | −7.41809 | − | 10.8087i | −0.307754 | − | 0.448422i | ||||
\(582\) | −0.562430 | − | 0.324719i | −0.0233135 | − | 0.0134600i | ||||
\(583\) | 6.15402 | + | 6.15402i | 0.254874 | + | 0.254874i | ||||
\(584\) | −16.8538 | + | 29.1916i | −0.697415 | + | 1.20796i | ||||
\(585\) | −1.42109 | + | 2.07120i | −0.0587550 | + | 0.0856335i | ||||
\(586\) | 0.0287962 | − | 0.0166255i | 0.00118956 | − | 0.000686792i | ||||
\(587\) | 25.3256 | − | 6.78596i | 1.04530 | − | 0.280087i | 0.304991 | − | 0.952355i | \(-0.401347\pi\) |
0.740307 | + | 0.672269i | \(0.234680\pi\) | |||||||
\(588\) | 1.80351 | + | 11.4854i | 0.0743754 | + | 0.473652i | ||||
\(589\) | −3.05340 | + | 1.76288i | −0.125813 | + | 0.0726383i | ||||
\(590\) | −3.46690 | − | 0.928954i | −0.142730 | − | 0.0382444i | ||||
\(591\) | 9.02928 | + | 9.02928i | 0.371415 | + | 0.371415i | ||||
\(592\) | 10.3579 | + | 10.3579i | 0.425707 | + | 0.425707i | ||||
\(593\) | 9.92038 | + | 2.65816i | 0.407381 | + | 0.109157i | 0.456690 | − | 0.889626i | \(-0.349035\pi\) |
−0.0493084 | + | 0.998784i | \(0.515702\pi\) | |||||||
\(594\) | −0.448581 | + | 0.258989i | −0.0184055 | + | 0.0106264i | ||||
\(595\) | 0.0366049 | − | 0.0766130i | 0.00150066 | − | 0.00314083i | ||||
\(596\) | −3.72402 | + | 0.997848i | −0.152542 | + | 0.0408734i | ||||
\(597\) | 0.719195 | − | 0.415227i | 0.0294347 | − | 0.0169941i | ||||
\(598\) | 3.79074 | − | 5.52489i | 0.155015 | − | 0.225929i | ||||
\(599\) | 9.56265 | − | 16.5630i | 0.390719 | − | 0.676746i | −0.601825 | − | 0.798628i | \(-0.705560\pi\) |
0.992545 | + | 0.121882i | \(0.0388930\pi\) | |||||||
\(600\) | −6.80567 | − | 6.80567i | −0.277840 | − | 0.277840i | ||||
\(601\) | −38.9868 | − | 22.5091i | −1.59031 | − | 0.918164i | −0.993254 | − | 0.115961i | \(-0.963005\pi\) |
−0.597052 | − | 0.802202i | \(-0.703661\pi\) | |||||||
\(602\) | −0.991127 | + | 2.07440i | −0.0403953 | + | 0.0845463i | ||||
\(603\) | 1.77192 | − | 1.77192i | 0.0721580 | − | 0.0721580i | ||||
\(604\) | −5.85793 | − | 21.8621i | −0.238356 | − | 0.889556i | ||||
\(605\) | −5.02900 | + | 5.02900i | −0.204458 | + | 0.204458i | ||||
\(606\) | −8.21665 | + | 2.20165i | −0.333779 | + | 0.0894357i | ||||
\(607\) | −41.0361 | − | 23.6922i | −1.66561 | − | 0.961638i | −0.969964 | − | 0.243248i | \(-0.921787\pi\) |
−0.695641 | − | 0.718389i | \(-0.744880\pi\) | |||||||
\(608\) | −2.39032 | + | 4.14016i | −0.0969404 | + | 0.167906i | ||||
\(609\) | 3.95078 | − | 21.2379i | 0.160094 | − | 0.860602i | ||||
\(610\) | − | 0.411070i | − | 0.0166437i | ||||||
\(611\) | 3.51650 | − | 45.1362i | 0.142262 | − | 1.82601i | ||||
\(612\) | −0.0662600 | − | 0.0382552i | −0.00267840 | − | 0.00154638i | ||||
\(613\) | −38.9499 | − | 10.4366i | −1.57317 | − | 0.421531i | −0.636369 | − | 0.771385i | \(-0.719564\pi\) |
−0.936804 | + | 0.349854i | \(0.886231\pi\) | |||||||
\(614\) | 14.5907i | 0.588834i | ||||||||
\(615\) | −3.08792 | − | 5.34843i | −0.124517 | − | 0.215669i | ||||
\(616\) | 4.73036 | − | 1.67158i | 0.190591 | − | 0.0673498i | ||||
\(617\) | −12.1180 | − | 3.24702i | −0.487854 | − | 0.130720i | 0.00650361 | − | 0.999979i | \(-0.497930\pi\) |
−0.494357 | + | 0.869259i | \(0.664596\pi\) | |||||||
\(618\) | 7.13977 | − | 1.91310i | 0.287204 | − | 0.0769560i | ||||
\(619\) | −2.16855 | − | 8.09314i | −0.0871614 | − | 0.325291i | 0.908553 | − | 0.417769i | \(-0.137188\pi\) |
−0.995715 | + | 0.0924781i | \(0.970521\pi\) | |||||||
\(620\) | −4.67224 | −0.187642 | ||||||||
\(621\) | 3.19116 | 0.128057 | ||||||||
\(622\) | −2.87041 | − | 10.7125i | −0.115093 | − | 0.429532i | ||||
\(623\) | −11.4071 | + | 7.82873i | −0.457014 | + | 0.313651i | ||||
\(624\) | −4.87576 | − | 5.69968i | −0.195187 | − | 0.228170i | ||||
\(625\) | 8.97776 | + | 15.5499i | 0.359110 | + | 0.621997i | ||||
\(626\) | 0.450922 | − | 1.68287i | 0.0180225 | − | 0.0672608i | ||||
\(627\) | −0.388325 | − | 0.672598i | −0.0155082 | − | 0.0268610i | ||||
\(628\) | −3.65484 | + | 6.33036i | −0.145844 | + | 0.252609i | ||||
\(629\) | 0.229365 | + | 0.229365i | 0.00914538 | + | 0.00914538i | ||||
\(630\) | −1.05525 | − | 0.196304i | −0.0420424 | − | 0.00782093i | ||||
\(631\) | 3.60680 | − | 13.4608i | 0.143584 | − | 0.535864i | −0.856230 | − | 0.516595i | \(-0.827199\pi\) |
0.999814 | − | 0.0192694i | \(-0.00613403\pi\) | |||||||
\(632\) | −5.22695 | + | 19.5073i | −0.207917 | + | 0.775957i | ||||
\(633\) | − | 23.1365i | − | 0.919594i | ||||||
\(634\) | −0.357086 | + | 0.206164i | −0.0141817 | + | 0.00818781i | ||||
\(635\) | 3.51294 | − | 3.51294i | 0.139407 | − | 0.139407i | ||||
\(636\) | 16.2509 | 0.644390 | ||||||||
\(637\) | −4.61277 | + | 24.8138i | −0.182764 | + | 0.983157i | ||||
\(638\) | −4.22922 | −0.167436 | ||||||||
\(639\) | −0.584422 | + | 0.584422i | −0.0231194 | + | 0.0231194i | ||||
\(640\) | −6.94820 | + | 4.01155i | −0.274652 | + | 0.158570i | ||||
\(641\) | 48.2934i | 1.90747i | 0.300644 | + | 0.953736i | \(0.402798\pi\) | ||||
−0.300644 | + | 0.953736i | \(0.597202\pi\) | |||||||
\(642\) | −1.77732 | + | 6.63306i | −0.0701454 | + | 0.261786i | ||||
\(643\) | 4.25643 | − | 15.8852i | 0.167857 | − | 0.626451i | −0.829801 | − | 0.558059i | \(-0.811546\pi\) |
0.997658 | − | 0.0683924i | \(-0.0217870\pi\) | |||||||
\(644\) | −13.7864 | − | 2.56461i | −0.543258 | − | 0.101060i | ||||
\(645\) | 0.735063 | + | 0.735063i | 0.0289431 | + | 0.0289431i | ||||
\(646\) | −0.0117116 | + | 0.0202850i | −0.000460785 | + | 0.000798104i | ||||
\(647\) | −7.10098 | − | 12.2993i | −0.279168 | − | 0.483533i | 0.692010 | − | 0.721888i | \(-0.256725\pi\) |
−0.971178 | + | 0.238354i | \(0.923392\pi\) | |||||||
\(648\) | −0.551768 | + | 2.05923i | −0.0216755 | + | 0.0808941i | ||||
\(649\) | 3.93467 | + | 6.81505i | 0.154449 | + | 0.267514i | ||||
\(650\) | −4.08764 | − | 8.55256i | −0.160330 | − | 0.335459i | ||||
\(651\) | 8.80856 | − | 6.04536i | 0.345235 | − | 0.236936i | ||||
\(652\) | −0.131164 | − | 0.489512i | −0.00513680 | − | 0.0191708i | ||||
\(653\) | −9.98626 | −0.390793 | −0.195396 | − | 0.980724i | \(-0.562599\pi\) | ||||
−0.195396 | + | 0.980724i | \(0.562599\pi\) | |||||||
\(654\) | −1.99931 | −0.0781794 | ||||||||
\(655\) | −2.47325 | − | 9.23031i | −0.0966380 | − | 0.360658i | ||||
\(656\) | 17.8133 | − | 4.77306i | 0.695492 | − | 0.186357i | ||||
\(657\) | −15.2725 | − | 4.09226i | −0.595838 | − | 0.159654i | ||||
\(658\) | 18.2406 | − | 6.44573i | 0.711093 | − | 0.251281i | ||||
\(659\) | 12.1444 | + | 21.0347i | 0.473079 | + | 0.819397i | 0.999525 | − | 0.0308117i | \(-0.00980923\pi\) |
−0.526446 | + | 0.850208i | \(0.676476\pi\) | |||||||
\(660\) | − | 1.02919i | − | 0.0400613i | ||||||
\(661\) | 23.2228 | + | 6.22253i | 0.903262 | + | 0.242028i | 0.680416 | − | 0.732826i | \(-0.261799\pi\) |
0.222845 | + | 0.974854i | \(0.428466\pi\) | |||||||
\(662\) | 4.78681 | + | 2.76366i | 0.186044 | + | 0.107413i | ||||
\(663\) | −0.107969 | − | 0.126214i | −0.00419316 | − | 0.00490173i | ||||
\(664\) | 10.5632i | 0.409931i | ||||||||
\(665\) | 0.294336 | − | 1.58224i | 0.0114139 | − | 0.0613566i | ||||
\(666\) | 2.05024 | − | 3.55112i | 0.0794453 | − | 0.137603i | ||||
\(667\) | 22.5647 | + | 13.0277i | 0.873707 | + | 0.504435i | ||||
\(668\) | −0.657709 | + | 0.176233i | −0.0254475 | + | 0.00681865i | ||||
\(669\) | −10.1576 | + | 10.1576i | −0.392714 | + | 0.392714i | ||||
\(670\) | −0.263118 | − | 0.981968i | −0.0101651 | − | 0.0379367i | ||||
\(671\) | −0.637296 | + | 0.637296i | −0.0246025 | + | 0.0246025i | ||||
\(672\) | 6.24503 | − | 13.0707i | 0.240907 | − | 0.504212i | ||||
\(673\) | −18.1748 | − | 10.4933i | −0.700589 | − | 0.404485i | 0.106978 | − | 0.994261i | \(-0.465883\pi\) |
−0.807567 | + | 0.589776i | \(0.799216\pi\) | |||||||
\(674\) | 11.6763 | + | 11.6763i | 0.449754 | + | 0.449754i | ||||
\(675\) | 2.25733 | − | 3.90981i | 0.0868847 | − | 0.150489i | ||||
\(676\) | −7.76946 | − | 20.1452i | −0.298825 | − | 0.774814i | ||||
\(677\) | 42.3269 | − | 24.4375i | 1.62676 | − | 0.939208i | 0.641705 | − | 0.766952i | \(-0.278228\pi\) |
0.985052 | − | 0.172256i | \(-0.0551058\pi\) | |||||||
\(678\) | −8.47643 | + | 2.27125i | −0.325535 | + | 0.0872269i | ||||
\(679\) | −1.27204 | + | 2.66234i | −0.0488163 | + | 0.102171i | ||||
\(680\) | −0.0592508 | + | 0.0342084i | −0.00227216 | + | 0.00131183i | ||||
\(681\) | −19.8561 | − | 5.32042i | −0.760886 | − | 0.203879i | ||||
\(682\) | −1.47897 | − | 1.47897i | −0.0566328 | − | 0.0566328i | ||||
\(683\) | 28.8168 | + | 28.8168i | 1.10264 | + | 1.10264i | 0.994091 | + | 0.108553i | \(0.0346218\pi\) |
0.108553 | + | 0.994091i | \(0.465378\pi\) | |||||||
\(684\) | −1.40079 | − | 0.375340i | −0.0535604 | − | 0.0143515i | ||||
\(685\) | −7.04431 | + | 4.06703i | −0.269149 | + | 0.155393i | ||||
\(686\) | −10.4920 | + | 2.49685i | −0.400588 | + | 0.0953302i | ||||
\(687\) | 3.99397 | − | 1.07018i | 0.152380 | − | 0.0408300i | ||||
\(688\) | −2.68828 | + | 1.55208i | −0.102490 | + | 0.0591726i | ||||
\(689\) | 33.2642 | + | 11.7500i | 1.26727 | + | 0.447639i | ||||
\(690\) | 0.647313 | − | 1.12118i | 0.0246428 | − | 0.0426826i | ||||
\(691\) | 2.28413 | + | 2.28413i | 0.0868923 | + | 0.0868923i | 0.749217 | − | 0.662325i | \(-0.230430\pi\) |
−0.662325 | + | 0.749217i | \(0.730430\pi\) | |||||||
\(692\) | −2.98595 | − | 1.72394i | −0.113509 | − | 0.0655342i | ||||
\(693\) | 1.33166 | + | 1.94033i | 0.0505856 | + | 0.0737072i | ||||
\(694\) | 9.21538 | − | 9.21538i | 0.349811 | − | 0.349811i | ||||
\(695\) | −0.173837 | − | 0.648769i | −0.00659402 | − | 0.0246092i | ||||
\(696\) | −12.3082 | + | 12.3082i | −0.466541 | + | 0.466541i | ||||
\(697\) | 0.394457 | − | 0.105694i | 0.0149411 | − | 0.00400346i | ||||
\(698\) | 4.60193 | + | 2.65693i | 0.174186 | + | 0.100566i | ||||
\(699\) | −0.994594 | + | 1.72269i | −0.0376190 | + | 0.0651580i | ||||
\(700\) | −12.8942 | + | 15.0769i | −0.487356 | + | 0.569855i | ||||
\(701\) | − | 8.12097i | − | 0.306725i | −0.988170 | − | 0.153362i | \(-0.950990\pi\) | ||
0.988170 | − | 0.153362i | \(-0.0490102\pi\) | |||||||
\(702\) | −1.18789 | + | 1.73131i | −0.0448340 | + | 0.0653441i | ||||
\(703\) | 5.32452 | + | 3.07411i | 0.200818 | + | 0.115942i | ||||
\(704\) | 0.835292 | + | 0.223816i | 0.0314812 | + | 0.00843537i | ||||
\(705\) | − | 8.74759i | − | 0.329453i | ||||||
\(706\) | 0.836893 | + | 1.44954i | 0.0314969 | + | 0.0545542i | ||||
\(707\) | 12.8768 | + | 36.4396i | 0.484281 | + | 1.37045i | ||||
\(708\) | 14.1934 | + | 3.80310i | 0.533419 | + | 0.142929i | ||||
\(709\) | 13.1733 | − | 3.52976i | 0.494732 | − | 0.132563i | −0.00282213 | − | 0.999996i | \(-0.500898\pi\) |
0.497554 | + | 0.867433i | \(0.334232\pi\) | |||||||
\(710\) | 0.0867828 | + | 0.323878i | 0.00325690 | + | 0.0121549i | ||||
\(711\) | −9.47310 | −0.355269 | ||||||||
\(712\) | 11.1479 | 0.417786 | ||||||||
\(713\) | 3.33510 | + | 12.4468i | 0.124901 | + | 0.466135i | ||||
\(714\) | 0.0305980 | − | 0.0640407i | 0.00114510 | − | 0.00239666i | ||||
\(715\) | 0.744143 | − | 2.10667i | 0.0278294 | − | 0.0787850i | ||||
\(716\) | 11.1376 | + | 19.2908i | 0.416230 | + | 0.720932i | ||||
\(717\) | 3.70928 | − | 13.8432i | 0.138525 | − | 0.516984i | ||||
\(718\) | 2.34958 | + | 4.06960i | 0.0876857 | + | 0.151876i | ||||
\(719\) | −14.0292 | + | 24.2993i | −0.523200 | + | 0.906210i | 0.476435 | + | 0.879210i | \(0.341929\pi\) |
−0.999635 | + | 0.0270000i | \(0.991405\pi\) | |||||||
\(720\) | −1.02478 | − | 1.02478i | −0.0381915 | − | 0.0381915i | ||||
\(721\) | −11.1891 | − | 31.6638i | −0.416705 | − | 1.17922i | ||||
\(722\) | 2.74877 | − | 10.2586i | 0.102299 | − | 0.381784i | ||||
\(723\) | −7.15869 | + | 26.7166i | −0.266234 | + | 0.993601i | ||||
\(724\) | − | 3.86423i | − | 0.143613i | ||||||
\(725\) | 31.9231 | − | 18.4308i | 1.18560 | − | 0.684504i | ||||
\(726\) | −4.20373 | + | 4.20373i | −0.156015 | + | 0.156015i | ||||
\(727\) | −21.2410 | −0.787785 | −0.393893 | − | 0.919156i | \(-0.628872\pi\) | ||||
−0.393893 | + | 0.919156i | \(0.628872\pi\) | |||||||
\(728\) | 14.3784 | − | 14.3820i | 0.532900 | − | 0.533034i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −4.53574 | + | 4.53574i | −0.167875 | + | 0.167875i | ||||
\(731\) | −0.0595293 | + | 0.0343692i | −0.00220177 | + | 0.00127119i | ||||
\(732\) | 1.68290i | 0.0622019i | ||||||||
\(733\) | −2.19607 | + | 8.19585i | −0.0811138 | + | 0.302721i | −0.994550 | − | 0.104261i | \(-0.966752\pi\) |
0.913436 | + | 0.406982i | \(0.133419\pi\) | |||||||
\(734\) | 0.253078 | − | 0.944500i | 0.00934128 | − | 0.0348621i | ||||
\(735\) | −0.516177 | + | 4.84923i | −0.0190395 | + | 0.178867i | ||||
\(736\) | 12.3547 | + | 12.3547i | 0.455399 | + | 0.455399i | ||||
\(737\) | −1.11446 | + | 1.93030i | −0.0410516 | + | 0.0711035i | ||||
\(738\) | −2.58118 | − | 4.47074i | −0.0950146 | − | 0.164570i | ||||
\(739\) | 5.71616 | − | 21.3330i | 0.210272 | − | 0.784747i | −0.777505 | − | 0.628877i | \(-0.783515\pi\) |
0.987777 | − | 0.155871i | \(-0.0498183\pi\) | |||||||
\(740\) | 4.07372 | + | 7.05589i | 0.149753 | + | 0.259380i | ||||
\(741\) | −2.59591 | − | 1.78111i | −0.0953631 | − | 0.0654306i | ||||
\(742\) | 1.17282 | + | 15.0295i | 0.0430555 | + | 0.551749i | ||||
\(743\) | −7.10193 | − | 26.5048i | −0.260544 | − | 0.972365i | −0.964921 | − | 0.262539i | \(-0.915440\pi\) |
0.704377 | − | 0.709826i | \(-0.251226\pi\) | |||||||
\(744\) | −8.60845 | −0.315601 | ||||||||
\(745\) | −1.61715 | −0.0592478 | ||||||||
\(746\) | 4.86459 | + | 18.1549i | 0.178105 | + | 0.664699i | ||||
\(747\) | −4.78606 | + | 1.28242i | −0.175113 | + | 0.0469213i | ||||
\(748\) | 0.0657356 | + | 0.0176138i | 0.00240353 | + | 0.000644024i | ||||
\(749\) | 30.6731 | + | 5.70596i | 1.12077 | + | 0.208491i | ||||
\(750\) | −1.93001 | − | 3.34287i | −0.0704739 | − | 0.122064i | ||||
\(751\) | − | 8.08325i | − | 0.294962i | −0.989065 | − | 0.147481i | \(-0.952883\pi\) | ||
0.989065 | − | 0.147481i | \(-0.0471165\pi\) | |||||||
\(752\) | 25.2312 | + | 6.76067i | 0.920086 | + | 0.246536i | ||||
\(753\) | −6.79478 | − | 3.92297i | −0.247616 | − | 0.142961i | ||||
\(754\) | −15.4675 | + | 7.39259i | −0.563294 | + | 0.269222i | ||||
\(755\) | − | 9.49358i | − | 0.345507i | ||||||
\(756\) | 4.32017 | + | 0.803659i | 0.157123 | + | 0.0292288i | ||||
\(757\) | −15.2508 | + | 26.4151i | −0.554299 | + | 0.960074i | 0.443659 | + | 0.896196i | \(0.353680\pi\) |
−0.997958 | + | 0.0638779i | \(0.979653\pi\) | |||||||
\(758\) | −10.4900 | − | 6.05638i | −0.381013 | − | 0.219978i | ||||
\(759\) | −2.74175 | + | 0.734651i | −0.0995194 | + | 0.0266661i | ||||
\(760\) | −0.916971 | + | 0.916971i | −0.0332620 | + | 0.0332620i | ||||
\(761\) | −3.64361 | − | 13.5982i | −0.132081 | − | 0.492933i | 0.867912 | − | 0.496718i | \(-0.165462\pi\) |
−0.999993 | + | 0.00378550i | \(0.998795\pi\) | |||||||
\(762\) | 2.93646 | − | 2.93646i | 0.106377 | − | 0.106377i | ||||
\(763\) | 0.706683 | + | 9.05602i | 0.0255836 | + | 0.327850i | ||||
\(764\) | −33.0754 | − | 19.0961i | −1.19663 | − | 0.690872i | ||||
\(765\) | −0.0226928 | − | 0.0226928i | −0.000820460 | − | 0.000820460i | ||||
\(766\) | 8.18928 | − | 14.1843i | 0.295891 | − | 0.512498i | ||||
\(767\) | 26.3028 | + | 18.0469i | 0.949741 | + | 0.651637i | ||||
\(768\) | −4.12408 | + | 2.38104i | −0.148815 | + | 0.0859182i | ||||
\(769\) | −3.42800 | + | 0.918529i | −0.123617 | + | 0.0331230i | −0.320097 | − | 0.947385i | \(-0.603715\pi\) |
0.196480 | + | 0.980508i | \(0.437049\pi\) | |||||||
\(770\) | 0.951837 | − | 0.0742762i | 0.0343018 | − | 0.00267673i | ||||
\(771\) | −0.315066 | + | 0.181903i | −0.0113468 | + | 0.00655109i | ||||
\(772\) | 10.8250 | + | 2.90054i | 0.389599 | + | 0.104393i | ||||
\(773\) | −34.6723 | − | 34.6723i | −1.24708 | − | 1.24708i | −0.957005 | − | 0.290072i | \(-0.906321\pi\) |
−0.290072 | − | 0.957005i | \(-0.593679\pi\) | |||||||
\(774\) | 0.614438 | + | 0.614438i | 0.0220855 | + | 0.0220855i | ||||
\(775\) | 17.6090 | + | 4.71831i | 0.632532 | + | 0.169487i | ||||
\(776\) | 2.05899 | − | 1.18876i | 0.0739134 | − | 0.0426739i | ||||
\(777\) | −16.8097 | − | 8.03151i | −0.603045 | − | 0.288129i | ||||
\(778\) | 6.00087 | − | 1.60793i | 0.215142 | − | 0.0576471i | ||||
\(779\) | 6.70338 | − | 3.87020i | 0.240173 | − | 0.138664i | ||||
\(780\) | −1.79901 | − | 3.76406i | −0.0644149 | − | 0.134775i | ||||
\(781\) | 0.367577 | − | 0.636661i | 0.0131529 | − | 0.0227815i | ||||
\(782\) | 0.0605326 | + | 0.0605326i | 0.00216464 | + | 0.00216464i | ||||
\(783\) | −7.07099 | − | 4.08244i | −0.252697 | − | 0.145894i | ||||
\(784\) | −13.5880 | − | 5.23662i | −0.485285 | − | 0.187022i | ||||
\(785\) | −2.16803 | + | 2.16803i | −0.0773802 | + | 0.0773802i | ||||
\(786\) | −2.06739 | − | 7.71559i | −0.0737412 | − | 0.275206i | ||||
\(787\) | −21.7018 | + | 21.7018i | −0.773585 | + | 0.773585i | −0.978731 | − | 0.205146i | \(-0.934233\pi\) |
0.205146 | + | 0.978731i | \(0.434233\pi\) | |||||||
\(788\) | −20.4857 | + | 5.48913i | −0.729774 | + | 0.195542i | ||||
\(789\) | −19.3524 | − | 11.1731i | −0.688963 | − | 0.397773i | ||||
\(790\) | −1.92158 | + | 3.32827i | −0.0683666 | + | 0.118414i | ||||
\(791\) | 13.2839 | + | 37.5917i | 0.472320 | + | 1.33661i | ||||
\(792\) | − | 1.89625i | − | 0.0673804i | ||||||
\(793\) | −1.21680 | + | 3.44476i | −0.0432098 | + | 0.122327i | ||||
\(794\) | 1.19651 | + | 0.690804i | 0.0424624 | + | 0.0245157i | ||||
\(795\) | 6.58420 | + | 1.76423i | 0.233518 | + | 0.0625708i | ||||
\(796\) | 1.37929i | 0.0488876i | ||||||||
\(797\) | 9.95011 | + | 17.2341i | 0.352451 | + | 0.610463i | 0.986678 | − | 0.162684i | \(-0.0520150\pi\) |
−0.634227 | + | 0.773147i | \(0.718682\pi\) | |||||||
\(798\) | 0.246035 | − | 1.32259i | 0.00870953 | − | 0.0468192i | ||||
\(799\) | 0.558718 | + | 0.149708i | 0.0197660 | + | 0.00529629i | ||||
\(800\) | 23.8763 | − | 6.39764i | 0.844155 | − | 0.226191i | ||||
\(801\) | 1.35341 | + | 5.05100i | 0.0478204 | + | 0.178468i | ||||
\(802\) | −18.1508 | −0.640929 | ||||||||
\(803\) | 14.0638 | 0.496301 | ||||||||
\(804\) | 1.07719 | + | 4.02014i | 0.0379897 | + | 0.141779i | ||||
\(805\) | −5.30725 | − | 2.53575i | −0.187056 | − | 0.0893734i | ||||
\(806\) | −7.99426 | − | 2.82383i | −0.281586 | − | 0.0994650i | ||||
\(807\) | 13.1471 | + | 22.7714i | 0.462798 | + | 0.801590i | ||||
\(808\) | 8.05997 | − | 30.0802i | 0.283549 | − | 1.05822i | ||||
\(809\) | 1.70377 | + | 2.95102i | 0.0599015 | + | 0.103752i | 0.894421 | − | 0.447226i | \(-0.147588\pi\) |
−0.834520 | + | 0.550978i | \(0.814255\pi\) | |||||||
\(810\) | −0.202846 | + | 0.351339i | −0.00712727 | + | 0.0123448i | ||||
\(811\) | 6.11425 | + | 6.11425i | 0.214700 | + | 0.214700i | 0.806261 | − | 0.591560i | \(-0.201488\pi\) |
−0.591560 | + | 0.806261i | \(0.701488\pi\) | |||||||
\(812\) | 27.2670 | + | 23.3195i | 0.956884 | + | 0.818354i | ||||
\(813\) | 0.0611447 | − | 0.228195i | 0.00214444 | − | 0.00800315i | ||||
\(814\) | −0.943990 | + | 3.52302i | −0.0330868 | + | 0.123482i | ||||
\(815\) | − | 0.212570i | − | 0.00744600i | ||||||
\(816\) | 0.0829924 | − | 0.0479157i | 0.00290532 | − | 0.00167738i | ||||
\(817\) | −0.921281 | + | 0.921281i | −0.0322316 | + | 0.0322316i | ||||
\(818\) | −13.4021 | −0.468594 | ||||||||
\(819\) | 8.26195 | + | 4.76866i | 0.288696 | + | 0.166631i | ||||
\(820\) | 10.2573 | 0.358202 | ||||||||
\(821\) | 10.6416 | − | 10.6416i | 0.371395 | − | 0.371395i | −0.496590 | − | 0.867985i | \(-0.665415\pi\) |
0.867985 | + | 0.496590i | \(0.165415\pi\) | |||||||
\(822\) | −5.88832 | + | 3.39962i | −0.205379 | + | 0.118576i | ||||
\(823\) | 46.4521i | 1.61922i | 0.586970 | + | 0.809608i | \(0.300320\pi\) | ||||
−0.586970 | + | 0.809608i | \(0.699680\pi\) | |||||||
\(824\) | −7.00362 | + | 26.1379i | −0.243983 | + | 0.910556i | ||||
\(825\) | −1.03934 | + | 3.87887i | −0.0361852 | + | 0.135045i | ||||
\(826\) | −2.49293 | + | 13.4010i | −0.0867400 | + | 0.466282i | ||||
\(827\) | 30.9402 | + | 30.9402i | 1.07590 | + | 1.07590i | 0.996873 | + | 0.0790236i | \(0.0251802\pi\) |
0.0790236 | + | 0.996873i | \(0.474820\pi\) | |||||||
\(828\) | −2.65007 | + | 4.59006i | −0.0920964 | + | 0.159516i | ||||
\(829\) | −16.3432 | − | 28.3073i | −0.567623 | − | 0.983152i | −0.996800 | − | 0.0799317i | \(-0.974530\pi\) |
0.429177 | − | 0.903220i | \(-0.358804\pi\) | |||||||
\(830\) | −0.520267 | + | 1.94166i | −0.0180587 | + | 0.0673961i | ||||
\(831\) | 0.943444 | + | 1.63409i | 0.0327277 | + | 0.0566860i | ||||
\(832\) | 3.44614 | − | 0.641513i | 0.119473 | − | 0.0222405i | ||||
\(833\) | −0.300891 | − | 0.115959i | −0.0104253 | − | 0.00401776i | ||||
\(834\) | −0.145310 | − | 0.542305i | −0.00503168 | − | 0.0187785i | ||||
\(835\) | −0.285609 | −0.00988392 | ||||||||
\(836\) | 1.28992 | 0.0446130 | ||||||||
\(837\) | −1.04511 | − | 3.90039i | −0.0361242 | − | 0.134817i | ||||
\(838\) | −9.74464 | + | 2.61107i | −0.336623 | + | 0.0901978i | ||||
\(839\) | 25.2872 | + | 6.77567i | 0.873010 | + | 0.233922i | 0.667389 | − | 0.744710i | \(-0.267412\pi\) |
0.205621 | + | 0.978632i | \(0.434079\pi\) | |||||||
\(840\) | 2.55395 | − | 2.98628i | 0.0881196 | − | 0.103036i | ||||
\(841\) | −18.8326 | − | 32.6190i | −0.649399 | − | 1.12479i | ||||
\(842\) | − | 23.4567i | − | 0.808371i | ||||||
\(843\) | 19.5100 | + | 5.22769i | 0.671960 | + | 0.180051i | ||||
\(844\) | 33.2788 | + | 19.2135i | 1.14550 | + | 0.661357i | ||||
\(845\) | −0.960868 | − | 9.00547i | −0.0330549 | − | 0.309798i | ||||
\(846\) | − | 7.31209i | − | 0.251395i | ||||||
\(847\) | 20.5269 | + | 17.5552i | 0.705314 | + | 0.603204i | ||||
\(848\) | −10.1773 | + | 17.6277i | −0.349491 | + | 0.605337i | ||||
\(849\) | 14.8311 | + | 8.56272i | 0.509001 | + | 0.293872i | ||||
\(850\) | 0.116984 | − | 0.0313457i | 0.00401251 | − | 0.00107515i | ||||
\(851\) | 15.8889 | − | 15.8889i | 0.544665 | − | 0.544665i | ||||
\(852\) | −0.355285 | − | 1.32594i | −0.0121719 | − | 0.0454260i | ||||
\(853\) | −26.6435 | + | 26.6435i | −0.912255 | + | 0.912255i | −0.996449 | − | 0.0841944i | \(-0.973168\pi\) |
0.0841944 | + | 0.996449i | \(0.473168\pi\) | |||||||
\(854\) | −1.55641 | + | 0.121454i | −0.0532594 | + | 0.00415608i | ||||
\(855\) | −0.526794 | − | 0.304145i | −0.0180160 | − | 0.0104015i | ||||
\(856\) | −17.7763 | − | 17.7763i | −0.607581 | − | 0.607581i | ||||
\(857\) | −14.1671 | + | 24.5382i | −0.483940 | + | 0.838208i | −0.999830 | − | 0.0184467i | \(-0.994128\pi\) |
0.515890 | + | 0.856655i | \(0.327461\pi\) | |||||||
\(858\) | 0.622028 | − | 1.76096i | 0.0212357 | − | 0.0601182i | ||||
\(859\) | −10.1518 | + | 5.86113i | −0.346374 | + | 0.199979i | −0.663087 | − | 0.748542i | \(-0.730754\pi\) |
0.316713 | + | 0.948521i | \(0.397421\pi\) | |||||||
\(860\) | −1.66772 | + | 0.446864i | −0.0568687 | + | 0.0152379i | ||||
\(861\) | −19.3381 | + | 13.2719i | −0.659042 | + | 0.452304i | ||||
\(862\) | 17.0885 | − | 9.86603i | 0.582036 | − | 0.336038i | ||||
\(863\) | −41.5172 | − | 11.1245i | −1.41326 | − | 0.378682i | −0.530174 | − | 0.847889i | \(-0.677873\pi\) |
−0.883088 | + | 0.469207i | \(0.844540\pi\) | |||||||
\(864\) | −3.87153 | − | 3.87153i | −0.131712 | − | 0.131712i | ||||
\(865\) | −1.02263 | − | 1.02263i | −0.0347704 | − | 0.0347704i | ||||
\(866\) | −17.1339 | − | 4.59101i | −0.582233 | − | 0.156009i | ||||
\(867\) | −14.7206 | + | 8.49894i | −0.499938 | + | 0.288639i | ||||
\(868\) | 1.38045 | + | 17.6903i | 0.0468556 | + | 0.600447i | ||||
\(869\) | 8.13902 | − | 2.18084i | 0.276097 | − | 0.0739800i | ||||
\(870\) | −2.86864 | + | 1.65621i | −0.0972560 | + | 0.0561508i | ||||
\(871\) | −0.701781 | + | 9.00774i | −0.0237789 | + | 0.305215i | ||||
\(872\) | 3.65963 | − | 6.33866i | 0.123931 | − | 0.214654i | ||||
\(873\) | 0.788584 | + | 0.788584i | 0.0266895 | + | 0.0266895i | ||||
\(874\) | 1.40521 | + | 0.811301i | 0.0475321 | + | 0.0274427i | ||||
\(875\) | −14.4596 | + | 9.92367i | −0.488823 | + | 0.335481i | ||||
\(876\) | 18.5691 | − | 18.5691i | 0.627392 | − | 0.627392i | ||||
\(877\) | 7.43615 | + | 27.7521i | 0.251101 | + | 0.937122i | 0.970218 | + | 0.242233i | \(0.0778798\pi\) |
−0.719117 | + | 0.694889i | \(0.755454\pi\) | |||||||
\(878\) | 1.12238 | − | 1.12238i | 0.0378784 | − | 0.0378784i | ||||
\(879\) | −0.0551536 | + | 0.0147783i | −0.00186028 | + | 0.000498461i | ||||
\(880\) | 1.11639 | + | 0.644545i | 0.0376333 | + | 0.0217276i | ||||
\(881\) | −20.6648 | + | 35.7924i | −0.696213 | + | 1.20588i | 0.273557 | + | 0.961856i | \(0.411800\pi\) |
−0.969770 | + | 0.244021i | \(0.921534\pi\) | |||||||
\(882\) | −0.431471 | + | 4.05346i | −0.0145284 | + | 0.136487i | ||||
\(883\) | 14.7746i | 0.497205i | 0.968606 | + | 0.248603i | \(0.0799713\pi\) | ||||
−0.968606 | + | 0.248603i | \(0.920029\pi\) | |||||||
\(884\) | 0.271203 | − | 0.0504857i | 0.00912156 | − | 0.00169802i | ||||
\(885\) | 5.33770 | + | 3.08172i | 0.179425 | + | 0.103591i | ||||
\(886\) | 19.5637 | + | 5.24207i | 0.657255 | + | 0.176111i | ||||
\(887\) | 16.0526i | 0.538994i | 0.963001 | + | 0.269497i | \(0.0868575\pi\) | ||||
−0.963001 | + | 0.269497i | \(0.913143\pi\) | |||||||
\(888\) | 7.50570 | + | 13.0002i | 0.251875 | + | 0.436260i | ||||
\(889\) | −14.3388 | − | 12.2629i | −0.480908 | − | 0.411286i | ||||
\(890\) | 2.04915 | + | 0.549067i | 0.0686875 | + | 0.0184048i | ||||
\(891\) | 0.859171 | − | 0.230214i | 0.0287833 | − | 0.00771247i | ||||
\(892\) | −6.17504 | − | 23.0456i | −0.206756 | − | 0.771622i | ||||
\(893\) | 10.9637 | 0.366885 | ||||||||
\(894\) | −1.35177 | −0.0452100 | ||||||||
\(895\) | 2.41824 | + | 9.02498i | 0.0808327 | + | 0.301672i | ||||
\(896\) | 17.2416 | + | 25.1224i | 0.576002 | + | 0.839280i | ||||
\(897\) | −8.74326 | + | 7.47937i | −0.291929 | + | 0.249729i | ||||
\(898\) | 10.5895 | + | 18.3415i | 0.353376 | + | 0.612065i | ||||
\(899\) | 8.53316 | − | 31.8462i | 0.284597 | − | 1.06213i | ||||
\(900\) | 3.74917 | + | 6.49375i | 0.124972 | + | 0.216458i | ||||
\(901\) | −0.225367 | + | 0.390347i | −0.00750805 | + | 0.0130043i | ||||
\(902\) | 3.24691 | + | 3.24691i | 0.108110 | + | 0.108110i | ||||
\(903\) | 2.56595 | − | 3.00031i | 0.0853896 | − | 0.0998442i | ||||
\(904\) | 8.31479 | − | 31.0312i | 0.276546 | − | 1.03208i | ||||
\(905\) | 0.419509 | − | 1.56563i | 0.0139449 | − | 0.0520432i | ||||
\(906\) | − | 7.93566i | − | 0.263645i | ||||||
\(907\) | 13.4150 | − | 7.74514i | 0.445437 | − | 0.257173i | −0.260464 | − | 0.965484i | \(-0.583876\pi\) |
0.705901 | + | 0.708310i | \(0.250542\pi\) | |||||||
\(908\) | 24.1420 | − | 24.1420i | 0.801181 | − | 0.801181i | ||||
\(909\) | 14.6075 | 0.484501 | ||||||||
\(910\) | 3.35132 | − | 1.93544i | 0.111095 | − | 0.0641593i | ||||
\(911\) | −28.0514 | −0.929383 | −0.464691 | − | 0.885473i | \(-0.653835\pi\) | ||||
−0.464691 | + | 0.885473i | \(0.653835\pi\) | |||||||
\(912\) | 1.28440 | − | 1.28440i | 0.0425307 | − | 0.0425307i | ||||
\(913\) | 3.81681 | − | 2.20364i | 0.126318 | − | 0.0729298i | ||||
\(914\) | 18.5401i | 0.613253i | ||||||||
\(915\) | −0.182700 | + | 0.681844i | −0.00603986 | + | 0.0225411i | ||||
\(916\) | −1.77745 | + | 6.63353i | −0.0587285 | + | 0.219178i | ||||
\(917\) | −34.2175 | + | 12.0915i | −1.12996 | + | 0.399298i | ||||
\(918\) | −0.0189689 | − | 0.0189689i | −0.000626065 | − | 0.000626065i | ||||
\(919\) | −17.5562 | + | 30.4083i | −0.579127 | + | 1.00308i | 0.416453 | + | 0.909157i | \(0.363273\pi\) |
−0.995580 | + | 0.0939198i | \(0.970060\pi\) | |||||||
\(920\) | 2.36974 | + | 4.10451i | 0.0781279 | + | 0.135322i | ||||
\(921\) | 6.48484 | − | 24.2017i | 0.213683 | − | 0.797475i | ||||
\(922\) | −5.25412 | − | 9.10041i | −0.173035 | − | 0.299706i | ||||
\(923\) | 0.231465 | − | 2.97098i | 0.00761877 | − | 0.0977909i | ||||
\(924\) | −3.89678 | + | 0.304084i | −0.128195 | + | 0.0100036i | ||||
\(925\) | −8.22777 | − | 30.7065i | −0.270527 | − | 1.00962i | ||||
\(926\) | −13.3782 | −0.439636 | ||||||||
\(927\) | −12.6930 | −0.416894 | ||||||||
\(928\) | −11.5703 | − | 43.1808i | −0.379813 | − | 1.41748i | ||||
\(929\) | 6.77606 | − | 1.81564i | 0.222315 | − | 0.0595692i | −0.145942 | − | 0.989293i | \(-0.546621\pi\) |
0.368257 | + | 0.929724i | \(0.379955\pi\) | |||||||
\(930\) | −1.58235 | − | 0.423991i | −0.0518875 | − | 0.0139032i | ||||
\(931\) | −6.07772 | − | 0.646944i | −0.199189 | − | 0.0212027i | ||||
\(932\) | −1.65190 | − | 2.86118i | −0.0541099 | − | 0.0937211i | ||||
\(933\) | 19.0446i | 0.623493i | ||||||||
\(934\) | 21.0824 | + | 5.64901i | 0.689837 | + | 0.184841i | ||||
\(935\) | 0.0247212 | + | 0.0142728i | 0.000808470 | + | 0.000466770i | ||||
\(936\) | −3.31462 | − | 6.93517i | −0.108342 | − | 0.226683i | ||||
\(937\) | − | 40.3619i | − | 1.31857i | −0.751894 | − | 0.659284i | \(-0.770860\pi\) | ||
0.751894 | − | 0.659284i | \(-0.229140\pi\) | |||||||
\(938\) | −3.64024 | + | 1.28636i | −0.118858 | + | 0.0420012i | ||||
\(939\) | −1.49590 | + | 2.59097i | −0.0488167 | + | 0.0845530i | ||||
\(940\) | 12.5822 | + | 7.26437i | 0.410388 | + | 0.236937i | ||||
\(941\) | 26.7377 | − | 7.16434i | 0.871624 | − | 0.233551i | 0.204834 | − | 0.978797i | \(-0.434335\pi\) |
0.666790 | + | 0.745246i | \(0.267668\pi\) | |||||||
\(942\) | −1.81225 | + | 1.81225i | −0.0590463 | + | 0.0590463i | ||||
\(943\) | −7.32182 | − | 27.3254i | −0.238431 | − | 0.889838i | ||||
\(944\) | −13.0141 | + | 13.0141i | −0.423572 | + | 0.423572i | ||||
\(945\) | 1.66311 | + | 0.794617i | 0.0541010 | + | 0.0258489i | ||||
\(946\) | −0.669360 | − | 0.386455i | −0.0217628 | − | 0.0125647i | ||||
\(947\) | 5.48950 | + | 5.48950i | 0.178385 | + | 0.178385i | 0.790651 | − | 0.612267i | \(-0.209742\pi\) |
−0.612267 | + | 0.790651i | \(0.709742\pi\) | |||||||
\(948\) | 7.86686 | − | 13.6258i | 0.255504 | − | 0.442545i | ||||
\(949\) | 51.4356 | − | 24.5833i | 1.66967 | − | 0.798007i | ||||
\(950\) | 1.98801 | − | 1.14778i | 0.0644997 | − | 0.0372389i | ||||
\(951\) | 0.683930 | − | 0.183258i | 0.0221779 | − | 0.00594256i | ||||
\(952\) | 0.147028 | + | 0.214231i | 0.00476520 | + | 0.00694327i | ||||
\(953\) | 19.1100 | − | 11.0332i | 0.619034 | − | 0.357400i | −0.157459 | − | 0.987526i | \(-0.550330\pi\) |
0.776493 | + | 0.630126i | \(0.216997\pi\) | |||||||
\(954\) | 5.50372 | + | 1.47472i | 0.178190 | + | 0.0477457i | ||||
\(955\) | −11.3277 | − | 11.3277i | −0.366556 | − | 0.366556i | ||||
\(956\) | 16.8313 | + | 16.8313i | 0.544362 | + | 0.544362i | ||||
\(957\) | 7.01503 | + | 1.87967i | 0.226764 | + | 0.0607611i | ||||
\(958\) | −13.4791 | + | 7.78217i | −0.435490 | + | 0.251430i | ||||
\(959\) | 17.4801 | + | 25.4699i | 0.564462 | + | 0.822466i | ||||
\(960\) | 0.654219 | − | 0.175298i | 0.0211148 | − | 0.00565770i | ||||
\(961\) | −12.7260 | + | 7.34735i | −0.410516 | + | 0.237011i | ||||
\(962\) | 2.70572 | + | 14.5348i | 0.0872359 | + | 0.468621i | ||||
\(963\) | 5.89611 | − | 10.2124i | 0.190000 | − | 0.329089i | ||||
\(964\) | −32.4834 | − | 32.4834i | −1.04622 | − | 1.04622i | ||||
\(965\) | 4.07094 | + | 2.35036i | 0.131048 | + | 0.0756608i | ||||
\(966\) | −4.43632 | − | 2.11963i | −0.142736 | − | 0.0681979i | ||||
\(967\) | −38.9477 | + | 38.9477i | −1.25248 | + | 1.25248i | −0.297868 | + | 0.954607i | \(0.596276\pi\) |
−0.954607 | + | 0.297868i | \(0.903724\pi\) | |||||||
\(968\) | −5.63290 | − | 21.0223i | −0.181048 | − | 0.675682i | ||||
\(969\) | 0.0284417 | − | 0.0284417i | 0.000913679 | − | 0.000913679i | ||||
\(970\) | 0.437021 | − | 0.117100i | 0.0140319 | − | 0.00375984i | ||||
\(971\) | 22.0504 | + | 12.7308i | 0.707630 | + | 0.408551i | 0.810183 | − | 0.586177i | \(-0.199368\pi\) |
−0.102553 | + | 0.994728i | \(0.532701\pi\) | |||||||
\(972\) | 0.830442 | − | 1.43837i | 0.0266364 | − | 0.0461357i | ||||
\(973\) | −2.40504 | + | 0.849876i | −0.0771021 | + | 0.0272458i | ||||
\(974\) | − | 14.4320i | − | 0.462430i | ||||||
\(975\) | 2.97902 | + | 16.0029i | 0.0954049 | + | 0.512504i | ||||
\(976\) | −1.82548 | − | 1.05394i | −0.0584322 | − | 0.0337358i | ||||
\(977\) | −30.1690 | − | 8.08375i | −0.965191 | − | 0.258622i | −0.258395 | − | 0.966039i | \(-0.583194\pi\) |
−0.706796 | + | 0.707417i | \(0.749860\pi\) | |||||||
\(978\) | − | 0.177687i | − | 0.00568180i | ||||||
\(979\) | −2.32562 | − | 4.02810i | −0.0743273 | − | 0.128739i | ||||
\(980\) | −6.54632 | − | 4.76945i | −0.209114 | − | 0.152355i | ||||
\(981\) | 3.31627 | + | 0.888593i | 0.105880 | + | 0.0283706i | ||||
\(982\) | −6.24887 | + | 1.67438i | −0.199409 | + | 0.0534316i | ||||
\(983\) | −11.2863 | − | 42.1212i | −0.359978 | − | 1.34346i | −0.874103 | − | 0.485741i | \(-0.838550\pi\) |
0.514125 | − | 0.857715i | \(-0.328117\pi\) | |||||||
\(984\) | 18.8988 | 0.602472 | ||||||||
\(985\) | −8.89589 | −0.283447 | ||||||||
\(986\) | −0.0566894 | − | 0.211568i | −0.00180536 | − | 0.00673769i | ||||
\(987\) | −33.1206 | + | 2.58455i | −1.05424 | + | 0.0822671i | ||||
\(988\) | 4.71764 | − | 2.25476i | 0.150088 | − | 0.0717336i | ||||
\(989\) | 2.38088 | + | 4.12380i | 0.0757075 | + | 0.131129i | ||||
\(990\) | 0.0933959 | − | 0.348558i | 0.00296832 | − | 0.0110779i | ||||
\(991\) | 7.25148 | + | 12.5599i | 0.230351 | + | 0.398979i | 0.957911 | − | 0.287064i | \(-0.0926793\pi\) |
−0.727561 | + | 0.686043i | \(0.759346\pi\) | |||||||
\(992\) | 11.0543 | − | 19.1467i | 0.350975 | − | 0.607907i | ||||
\(993\) | −6.71159 | − | 6.71159i | −0.212986 | − | 0.212986i | ||||
\(994\) | 1.20064 | − | 0.424274i | 0.0380821 | − | 0.0134572i | ||||
\(995\) | −0.149738 | + | 0.558832i | −0.00474703 | + | 0.0177162i | ||||
\(996\) | 2.12995 | − | 7.94908i | 0.0674901 | − | 0.251876i | ||||
\(997\) | − | 48.9575i | − | 1.55050i | −0.631655 | − | 0.775249i | \(-0.717624\pi\) | ||
0.631655 | − | 0.775249i | \(-0.282376\pi\) | |||||||
\(998\) | 0.0937696 | − | 0.0541379i | 0.00296823 | − | 0.00171371i | ||||
\(999\) | −4.97904 | + | 4.97904i | −0.157530 | + | 0.157530i |
(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 | 273.2.bt.a.136.4 | ✓ | 36 | |
3.2 | odd | 2 | 819.2.et.c.136.6 | 36 | |||
7.5 | odd | 6 | 273.2.cg.a.19.6 | yes | 36 | ||
13.11 | odd | 12 | 273.2.cg.a.115.6 | yes | 36 | ||
21.5 | even | 6 | 819.2.gh.c.19.4 | 36 | |||
39.11 | even | 12 | 819.2.gh.c.388.4 | 36 | |||
91.89 | even | 12 | inner | 273.2.bt.a.271.4 | yes | 36 | |
273.89 | odd | 12 | 819.2.et.c.271.6 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.136.4 | ✓ | 36 | 1.1 | even | 1 | trivial | |
273.2.bt.a.271.4 | yes | 36 | 91.89 | even | 12 | inner | |
273.2.cg.a.19.6 | yes | 36 | 7.5 | odd | 6 | ||
273.2.cg.a.115.6 | yes | 36 | 13.11 | odd | 12 | ||
819.2.et.c.136.6 | 36 | 3.2 | odd | 2 | |||
819.2.et.c.271.6 | 36 | 273.89 | odd | 12 | |||
819.2.gh.c.19.4 | 36 | 21.5 | even | 6 | |||
819.2.gh.c.388.4 | 36 | 39.11 | even | 12 |