Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(99,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.v (of order \(18\), degree \(6\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 169.10 | ||
Character | \(\chi\) | \(=\) | 370.169 |
Dual form | 370.2.v.b.289.10 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | 1.01326 | + | 2.78391i | 0.585006 | + | 1.60729i | 0.779511 | + | 0.626388i | \(0.215468\pi\) |
−0.194505 | + | 0.980901i | \(0.562310\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | −2.23483 | + | 0.0743186i | −0.999448 | + | 0.0332363i | ||||
\(6\) | 2.96257i | 1.20947i | ||||||||
\(7\) | −1.02406 | − | 0.180569i | −0.387058 | − | 0.0682488i | −0.0232669 | − | 0.999729i | \(-0.507407\pi\) |
−0.363791 | + | 0.931480i | \(0.618518\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −4.42531 | + | 3.71328i | −1.47510 | + | 1.23776i | ||||
\(10\) | −2.12547 | − | 0.694521i | −0.672134 | − | 0.219627i | ||||
\(11\) | −1.08964 | − | 1.88731i | −0.328539 | − | 0.569046i | 0.653683 | − | 0.756768i | \(-0.273223\pi\) |
−0.982222 | + | 0.187722i | \(0.939890\pi\) | |||||||
\(12\) | −1.01326 | + | 2.78391i | −0.292503 | + | 0.803645i | ||||
\(13\) | 3.72808 | + | 3.12823i | 1.03398 | + | 0.867615i | 0.991319 | − | 0.131475i | \(-0.0419713\pi\) |
0.0426633 | + | 0.999090i | \(0.486416\pi\) | |||||||
\(14\) | −0.900543 | − | 0.519929i | −0.240680 | − | 0.138957i | ||||
\(15\) | −2.47136 | − | 6.14626i | −0.638103 | − | 1.58696i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 0.949228 | − | 0.796496i | 0.230221 | − | 0.193179i | −0.520378 | − | 0.853936i | \(-0.674209\pi\) |
0.750600 | + | 0.660757i | \(0.229765\pi\) | |||||||
\(18\) | −5.42845 | + | 1.97579i | −1.27950 | + | 0.465699i | ||||
\(19\) | 1.59512 | + | 4.38255i | 0.365945 | + | 1.00543i | 0.976888 | + | 0.213752i | \(0.0685684\pi\) |
−0.610942 | + | 0.791675i | \(0.709209\pi\) | |||||||
\(20\) | −1.75975 | − | 1.37959i | −0.393493 | − | 0.308486i | ||||
\(21\) | −0.534950 | − | 3.03385i | −0.116736 | − | 0.662041i | ||||
\(22\) | −0.378428 | − | 2.14617i | −0.0806812 | − | 0.457566i | ||||
\(23\) | 2.09433 | − | 3.62748i | 0.436697 | − | 0.756382i | −0.560735 | − | 0.827995i | \(-0.689481\pi\) |
0.997432 | + | 0.0716133i | \(0.0228148\pi\) | |||||||
\(24\) | −1.90431 | + | 2.26946i | −0.388715 | + | 0.463252i | ||||
\(25\) | 4.98895 | − | 0.332179i | 0.997791 | − | 0.0664358i | ||||
\(26\) | 2.43333 | + | 4.21465i | 0.477215 | + | 0.826561i | ||||
\(27\) | −7.12443 | − | 4.11329i | −1.37110 | − | 0.791603i | ||||
\(28\) | −0.668408 | − | 0.796577i | −0.126317 | − | 0.150539i | ||||
\(29\) | 6.14779 | − | 3.54943i | 1.14162 | − | 0.659112i | 0.194785 | − | 0.980846i | \(-0.437599\pi\) |
0.946830 | + | 0.321734i | \(0.104266\pi\) | |||||||
\(30\) | −0.220174 | − | 6.62085i | −0.0401981 | − | 1.20880i | ||||
\(31\) | 3.83594i | 0.688955i | 0.938795 | + | 0.344477i | \(0.111944\pi\) | ||||
−0.938795 | + | 0.344477i | \(0.888056\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 4.15002 | − | 4.94580i | 0.722425 | − | 0.860953i | ||||
\(34\) | 1.16440 | − | 0.423807i | 0.199693 | − | 0.0726823i | ||||
\(35\) | 2.30202 | + | 0.327436i | 0.389113 | + | 0.0553467i | ||||
\(36\) | −5.77684 | −0.962806 | ||||||||
\(37\) | −5.16263 | − | 3.21671i | −0.848731 | − | 0.528824i | ||||
\(38\) | 4.66382i | 0.756571i | ||||||||
\(39\) | −4.93119 | + | 13.5483i | −0.789622 | + | 2.16947i | ||||
\(40\) | −1.18178 | − | 1.89826i | −0.186856 | − | 0.300142i | ||||
\(41\) | −5.14883 | − | 4.32038i | −0.804113 | − | 0.674731i | 0.145082 | − | 0.989420i | \(-0.453655\pi\) |
−0.949195 | + | 0.314689i | \(0.898100\pi\) | |||||||
\(42\) | 0.534950 | − | 3.03385i | 0.0825446 | − | 0.468133i | ||||
\(43\) | −2.74566 | −0.418710 | −0.209355 | − | 0.977840i | \(-0.567136\pi\) | ||||
−0.209355 | + | 0.977840i | \(0.567136\pi\) | |||||||
\(44\) | 0.378428 | − | 2.14617i | 0.0570502 | − | 0.323548i | ||||
\(45\) | 9.61387 | − | 8.62744i | 1.43315 | − | 1.28610i | ||||
\(46\) | 3.20869 | − | 2.69241i | 0.473096 | − | 0.396975i | ||||
\(47\) | 10.9104 | + | 6.29914i | 1.59145 | + | 0.918824i | 0.993059 | + | 0.117621i | \(0.0375267\pi\) |
0.598392 | + | 0.801204i | \(0.295807\pi\) | |||||||
\(48\) | −2.56566 | + | 1.48129i | −0.370322 | + | 0.213805i | ||||
\(49\) | −5.56176 | − | 2.02431i | −0.794536 | − | 0.289188i | ||||
\(50\) | 4.80169 | + | 1.39418i | 0.679062 | + | 0.197166i | ||||
\(51\) | 3.17919 | + | 1.83550i | 0.445175 | + | 0.257022i | ||||
\(52\) | 0.845087 | + | 4.79272i | 0.117192 | + | 0.664631i | ||||
\(53\) | 9.66804 | − | 1.70474i | 1.32801 | − | 0.234163i | 0.535763 | − | 0.844368i | \(-0.320024\pi\) |
0.792244 | + | 0.610205i | \(0.208913\pi\) | |||||||
\(54\) | −5.28795 | − | 6.30193i | −0.719598 | − | 0.857584i | ||||
\(55\) | 2.57543 | + | 4.13685i | 0.347271 | + | 0.557813i | ||||
\(56\) | −0.355652 | − | 0.977146i | −0.0475260 | − | 0.130577i | ||||
\(57\) | −10.5844 | + | 8.88133i | −1.40193 | + | 1.17636i | ||||
\(58\) | 6.99101 | − | 1.23270i | 0.917964 | − | 0.161862i | ||||
\(59\) | −5.46090 | + | 0.962903i | −0.710948 | + | 0.125359i | −0.517415 | − | 0.855734i | \(-0.673106\pi\) |
−0.193533 | + | 0.981094i | \(0.561995\pi\) | |||||||
\(60\) | 2.05757 | − | 6.29687i | 0.265631 | − | 0.812923i | ||||
\(61\) | 1.79209 | − | 2.13573i | 0.229453 | − | 0.273452i | −0.639017 | − | 0.769192i | \(-0.720659\pi\) |
0.868471 | + | 0.495740i | \(0.165103\pi\) | |||||||
\(62\) | −1.31197 | + | 3.60460i | −0.166620 | + | 0.457785i | ||||
\(63\) | 5.20229 | − | 3.00354i | 0.655427 | − | 0.378411i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −8.56412 | − | 6.71400i | −1.06225 | − | 0.832770i | ||||
\(66\) | 5.59130 | − | 3.22814i | 0.688242 | − | 0.397357i | ||||
\(67\) | 8.75050 | + | 1.54295i | 1.06904 | + | 0.188501i | 0.680366 | − | 0.732873i | \(-0.261821\pi\) |
0.388677 | + | 0.921374i | \(0.372932\pi\) | |||||||
\(68\) | 1.23913 | 0.150266 | ||||||||
\(69\) | 12.2207 | + | 2.15483i | 1.47120 | + | 0.259411i | ||||
\(70\) | 2.05120 | + | 1.09503i | 0.245166 | + | 0.130881i | ||||
\(71\) | 6.94924 | − | 2.52932i | 0.824723 | − | 0.300175i | 0.105032 | − | 0.994469i | \(-0.466506\pi\) |
0.719691 | + | 0.694294i | \(0.244283\pi\) | |||||||
\(72\) | −5.42845 | − | 1.97579i | −0.639749 | − | 0.232850i | ||||
\(73\) | 7.86051i | 0.920003i | 0.887918 | + | 0.460002i | \(0.152151\pi\) | ||||
−0.887918 | + | 0.460002i | \(0.847849\pi\) | |||||||
\(74\) | −3.75111 | − | 4.78845i | −0.436057 | − | 0.556645i | ||||
\(75\) | 5.97986 | + | 13.5522i | 0.690495 | + | 1.56487i | ||||
\(76\) | −1.59512 | + | 4.38255i | −0.182973 | + | 0.502713i | ||||
\(77\) | 0.775066 | + | 2.12948i | 0.0883270 | + | 0.242676i | ||||
\(78\) | −9.26761 | + | 11.0447i | −1.04935 | + | 1.25057i | ||||
\(79\) | −15.6757 | − | 2.76405i | −1.76365 | − | 0.310980i | −0.804518 | − | 0.593928i | \(-0.797576\pi\) |
−0.959135 | + | 0.282948i | \(0.908688\pi\) | |||||||
\(80\) | −0.461264 | − | 2.18798i | −0.0515709 | − | 0.244623i | ||||
\(81\) | 1.22272 | − | 6.93437i | 0.135857 | − | 0.770485i | ||||
\(82\) | −3.36066 | − | 5.82084i | −0.371123 | − | 0.642804i | ||||
\(83\) | −2.02137 | − | 2.40898i | −0.221874 | − | 0.264420i | 0.643612 | − | 0.765352i | \(-0.277435\pi\) |
−0.865487 | + | 0.500932i | \(0.832991\pi\) | |||||||
\(84\) | 1.54033 | − | 2.66792i | 0.168063 | − | 0.291094i | ||||
\(85\) | −2.06217 | + | 1.85058i | −0.223674 | + | 0.200724i | ||||
\(86\) | −2.58008 | − | 0.939073i | −0.278217 | − | 0.101263i | ||||
\(87\) | 16.1106 | + | 13.5184i | 1.72724 | + | 1.44932i | ||||
\(88\) | 1.08964 | − | 1.88731i | 0.116156 | − | 0.201188i | ||||
\(89\) | −12.0974 | + | 2.13309i | −1.28232 | + | 0.226107i | −0.772964 | − | 0.634450i | \(-0.781227\pi\) |
−0.509354 | + | 0.860557i | \(0.670116\pi\) | |||||||
\(90\) | 11.9848 | − | 4.81901i | 1.26331 | − | 0.507968i | ||||
\(91\) | −3.25291 | − | 3.87667i | −0.340998 | − | 0.406385i | ||||
\(92\) | 3.93605 | − | 1.43260i | 0.410361 | − | 0.149359i | ||||
\(93\) | −10.6789 | + | 3.88680i | −1.10735 | + | 0.403042i | ||||
\(94\) | 8.09802 | + | 9.65085i | 0.835247 | + | 0.995409i | ||||
\(95\) | −3.89053 | − | 9.67573i | −0.399160 | − | 0.992709i | ||||
\(96\) | −2.91756 | + | 0.514445i | −0.297773 | + | 0.0525054i | ||||
\(97\) | 5.15005 | − | 8.92014i | 0.522908 | − | 0.905703i | −0.476737 | − | 0.879046i | \(-0.658180\pi\) |
0.999645 | − | 0.0266572i | \(-0.00848626\pi\) | |||||||
\(98\) | −4.53398 | − | 3.80446i | −0.458002 | − | 0.384309i | ||||
\(99\) | 11.8301 | + | 4.30581i | 1.18897 | + | 0.432751i | ||||
\(100\) | 4.03528 | + | 2.95237i | 0.403528 | + | 0.295237i | ||||
\(101\) | 9.17761 | − | 15.8961i | 0.913206 | − | 1.58172i | 0.103699 | − | 0.994609i | \(-0.466932\pi\) |
0.809507 | − | 0.587110i | \(-0.199735\pi\) | |||||||
\(102\) | 2.35968 | + | 2.81216i | 0.233643 | + | 0.278445i | ||||
\(103\) | −3.84868 | − | 6.66610i | −0.379221 | − | 0.656830i | 0.611728 | − | 0.791068i | \(-0.290475\pi\) |
−0.990949 | + | 0.134238i | \(0.957141\pi\) | |||||||
\(104\) | −0.845087 | + | 4.79272i | −0.0828676 | + | 0.469965i | ||||
\(105\) | 1.42099 | + | 6.74039i | 0.138675 | + | 0.657795i | ||||
\(106\) | 9.66804 | + | 1.70474i | 0.939043 | + | 0.165579i | ||||
\(107\) | 3.98847 | − | 4.75327i | 0.385580 | − | 0.459516i | −0.537987 | − | 0.842953i | \(-0.680815\pi\) |
0.923567 | + | 0.383437i | \(0.125260\pi\) | |||||||
\(108\) | −2.81366 | − | 7.73046i | −0.270744 | − | 0.743864i | ||||
\(109\) | 3.63900 | − | 9.99807i | 0.348553 | − | 0.957641i | −0.634274 | − | 0.773109i | \(-0.718701\pi\) |
0.982826 | − | 0.184532i | \(-0.0590771\pi\) | |||||||
\(110\) | 1.00522 | + | 4.76821i | 0.0958444 | + | 0.454631i | ||||
\(111\) | 3.72395 | − | 17.6317i | 0.353461 | − | 1.67352i | ||||
\(112\) | − | 1.03986i | − | 0.0982573i | ||||||
\(113\) | −8.02406 | − | 2.92052i | −0.754840 | − | 0.274739i | −0.0641993 | − | 0.997937i | \(-0.520449\pi\) |
−0.690641 | + | 0.723198i | \(0.742672\pi\) | |||||||
\(114\) | −12.9836 | + | 4.72566i | −1.21603 | + | 0.442598i | ||||
\(115\) | −4.41088 | + | 8.26246i | −0.411317 | + | 0.770478i | ||||
\(116\) | 6.99101 | + | 1.23270i | 0.649099 | + | 0.114454i | ||||
\(117\) | −28.1139 | −2.59913 | ||||||||
\(118\) | −5.46090 | − | 0.962903i | −0.502716 | − | 0.0886424i | ||||
\(119\) | −1.11589 | + | 0.644259i | −0.102293 | + | 0.0590591i | ||||
\(120\) | 4.08714 | − | 5.21339i | 0.373103 | − | 0.475916i | ||||
\(121\) | 3.12537 | − | 5.41329i | 0.284124 | − | 0.492117i | ||||
\(122\) | 2.41447 | − | 1.39400i | 0.218596 | − | 0.126207i | ||||
\(123\) | 6.81045 | − | 18.7115i | 0.614077 | − | 1.68716i | ||||
\(124\) | −2.46569 | + | 2.93850i | −0.221426 | + | 0.263885i | ||||
\(125\) | −11.1248 | + | 1.11314i | −0.995031 | + | 0.0995620i | ||||
\(126\) | 5.91583 | − | 1.04312i | 0.527024 | − | 0.0929285i | ||||
\(127\) | −7.84470 | + | 1.38323i | −0.696105 | + | 0.122742i | −0.510494 | − | 0.859881i | \(-0.670537\pi\) |
−0.185611 | + | 0.982623i | \(0.559426\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | −2.78207 | − | 7.64368i | −0.244948 | − | 0.672988i | ||||
\(130\) | −5.75131 | − | 9.23820i | −0.504423 | − | 0.810244i | ||||
\(131\) | −0.957846 | − | 1.14152i | −0.0836874 | − | 0.0997347i | 0.722576 | − | 0.691292i | \(-0.242958\pi\) |
−0.806263 | + | 0.591557i | \(0.798514\pi\) | |||||||
\(132\) | 6.35820 | − | 1.12112i | 0.553410 | − | 0.0975811i | ||||
\(133\) | −0.842143 | − | 4.77603i | −0.0730230 | − | 0.414134i | ||||
\(134\) | 7.69506 | + | 4.44274i | 0.664752 | + | 0.383795i | ||||
\(135\) | 16.2276 | + | 8.66304i | 1.39665 | + | 0.745596i | ||||
\(136\) | 1.16440 | + | 0.423807i | 0.0998465 | + | 0.0363411i | ||||
\(137\) | −7.50310 | + | 4.33192i | −0.641033 | + | 0.370101i | −0.785012 | − | 0.619480i | \(-0.787343\pi\) |
0.143979 | + | 0.989581i | \(0.454010\pi\) | |||||||
\(138\) | 10.7467 | + | 6.20460i | 0.914818 | + | 0.528170i | ||||
\(139\) | −8.67914 | + | 7.28266i | −0.736155 | + | 0.617707i | −0.931802 | − | 0.362967i | \(-0.881764\pi\) |
0.195647 | + | 0.980674i | \(0.437319\pi\) | |||||||
\(140\) | 1.55298 | + | 1.73054i | 0.131251 | + | 0.146257i | ||||
\(141\) | −6.48113 | + | 36.7563i | −0.545810 | + | 3.09544i | ||||
\(142\) | 7.39523 | 0.620594 | ||||||||
\(143\) | 1.84168 | − | 10.4447i | 0.154009 | − | 0.873429i | ||||
\(144\) | −4.42531 | − | 3.71328i | −0.368776 | − | 0.309440i | ||||
\(145\) | −13.4755 | + | 8.38927i | −1.11908 | + | 0.696691i | ||||
\(146\) | −2.68845 | + | 7.38647i | −0.222498 | + | 0.611308i | ||||
\(147\) | − | 17.5346i | − | 1.44623i | ||||||
\(148\) | −1.88714 | − | 5.78262i | −0.155122 | − | 0.475328i | ||||
\(149\) | −6.54925 | −0.536536 | −0.268268 | − | 0.963344i | \(-0.586451\pi\) | ||||
−0.268268 | + | 0.963344i | \(0.586451\pi\) | |||||||
\(150\) | 0.984105 | + | 14.7801i | 0.0803518 | + | 1.20679i | ||||
\(151\) | 8.10149 | − | 2.94870i | 0.659290 | − | 0.239962i | 0.00936007 | − | 0.999956i | \(-0.497021\pi\) |
0.649930 | + | 0.759994i | \(0.274798\pi\) | |||||||
\(152\) | −2.99784 | + | 3.57269i | −0.243157 | + | 0.289784i | ||||
\(153\) | −1.24302 | + | 7.04950i | −0.100492 | + | 0.569918i | ||||
\(154\) | 2.26614i | 0.182611i | ||||||||
\(155\) | −0.285081 | − | 8.57268i | −0.0228983 | − | 0.688574i | ||||
\(156\) | −12.4862 | + | 7.20892i | −0.999697 | + | 0.577175i | ||||
\(157\) | 13.4128 | + | 15.9848i | 1.07046 | + | 1.27572i | 0.959442 | + | 0.281906i | \(0.0909667\pi\) |
0.111018 | + | 0.993818i | \(0.464589\pi\) | |||||||
\(158\) | −13.7850 | − | 7.95876i | −1.09667 | − | 0.633165i | ||||
\(159\) | 14.5421 | + | 25.1876i | 1.15326 | + | 1.99751i | ||||
\(160\) | 0.314885 | − | 2.21379i | 0.0248939 | − | 0.175015i | ||||
\(161\) | −2.79973 | + | 3.33659i | −0.220649 | + | 0.262960i | ||||
\(162\) | 3.52067 | − | 6.09798i | 0.276610 | − | 0.479103i | ||||
\(163\) | 1.12186 | + | 6.36237i | 0.0878706 | + | 0.498339i | 0.996700 | + | 0.0811713i | \(0.0258661\pi\) |
−0.908830 | + | 0.417168i | \(0.863023\pi\) | |||||||
\(164\) | −1.16715 | − | 6.61921i | −0.0911388 | − | 0.516874i | ||||
\(165\) | −8.90703 | + | 11.3615i | −0.693411 | + | 0.884488i | ||||
\(166\) | −1.07555 | − | 2.95505i | −0.0834789 | − | 0.229356i | ||||
\(167\) | 13.5908 | − | 4.94663i | 1.05168 | − | 0.382782i | 0.242386 | − | 0.970180i | \(-0.422070\pi\) |
0.809298 | + | 0.587398i | \(0.199848\pi\) | |||||||
\(168\) | 2.35992 | − | 1.98021i | 0.182072 | − | 0.152776i | ||||
\(169\) | 1.85532 | + | 10.5221i | 0.142717 | + | 0.809389i | ||||
\(170\) | −2.57074 | + | 1.03367i | −0.197167 | + | 0.0792792i | ||||
\(171\) | −23.3326 | − | 13.4711i | −1.78429 | − | 1.03016i | ||||
\(172\) | −2.10330 | − | 1.76488i | −0.160375 | − | 0.134571i | ||||
\(173\) | 4.76783 | − | 13.0995i | 0.362491 | − | 0.995936i | −0.615655 | − | 0.788016i | \(-0.711108\pi\) |
0.978146 | − | 0.207920i | \(-0.0666694\pi\) | |||||||
\(174\) | 10.5154 | + | 18.2133i | 0.797173 | + | 1.38074i | ||||
\(175\) | −5.16897 | − | 0.560681i | −0.390737 | − | 0.0423835i | ||||
\(176\) | 1.66943 | − | 1.40082i | 0.125838 | − | 0.105590i | ||||
\(177\) | −8.21394 | − | 14.2270i | −0.617397 | − | 1.06936i | ||||
\(178\) | −12.0974 | − | 2.13309i | −0.906736 | − | 0.159882i | ||||
\(179\) | 4.19437i | 0.313502i | 0.987638 | + | 0.156751i | \(0.0501020\pi\) | ||||
−0.987638 | + | 0.156751i | \(0.949898\pi\) | |||||||
\(180\) | 12.9103 | − | 0.429326i | 0.962274 | − | 0.0320001i | ||||
\(181\) | −18.2159 | − | 15.2850i | −1.35398 | − | 1.13612i | −0.977791 | − | 0.209580i | \(-0.932790\pi\) |
−0.376188 | − | 0.926543i | \(-0.622765\pi\) | |||||||
\(182\) | −1.73084 | − | 4.75544i | −0.128298 | − | 0.352497i | ||||
\(183\) | 7.76152 | + | 2.82496i | 0.573748 | + | 0.208827i | ||||
\(184\) | 4.18865 | 0.308792 | ||||||||
\(185\) | 11.7767 | + | 6.80514i | 0.865839 | + | 0.500324i | ||||
\(186\) | −11.3642 | −0.833267 | ||||||||
\(187\) | −2.53756 | − | 0.923595i | −0.185564 | − | 0.0675399i | ||||
\(188\) | 4.30887 | + | 11.8385i | 0.314256 | + | 0.863412i | ||||
\(189\) | 6.55311 | + | 5.49871i | 0.476669 | + | 0.399972i | ||||
\(190\) | −0.346608 | − | 10.4229i | −0.0251456 | − | 0.756153i | ||||
\(191\) | 23.4781i | 1.69882i | 0.527736 | + | 0.849409i | \(0.323041\pi\) | ||||
−0.527736 | + | 0.849409i | \(0.676959\pi\) | |||||||
\(192\) | −2.91756 | − | 0.514445i | −0.210557 | − | 0.0371269i | ||||
\(193\) | −5.64549 | − | 9.77828i | −0.406371 | − | 0.703856i | 0.588109 | − | 0.808782i | \(-0.299873\pi\) |
−0.994480 | + | 0.104926i | \(0.966539\pi\) | |||||||
\(194\) | 7.89033 | − | 6.62077i | 0.566493 | − | 0.475344i | ||||
\(195\) | 10.0135 | − | 30.6447i | 0.717081 | − | 2.19452i | ||||
\(196\) | −2.95935 | − | 5.12574i | −0.211382 | − | 0.366124i | ||||
\(197\) | −7.67079 | + | 21.0753i | −0.546521 | + | 1.50155i | 0.291855 | + | 0.956463i | \(0.405727\pi\) |
−0.838376 | + | 0.545092i | \(0.816495\pi\) | |||||||
\(198\) | 9.64401 | + | 8.09228i | 0.685370 | + | 0.575093i | ||||
\(199\) | 3.27114 | + | 1.88859i | 0.231885 | + | 0.133879i | 0.611441 | − | 0.791290i | \(-0.290590\pi\) |
−0.379556 | + | 0.925169i | \(0.623923\pi\) | |||||||
\(200\) | 2.78215 | + | 4.15447i | 0.196728 | + | 0.293765i | ||||
\(201\) | 4.57110 | + | 25.9240i | 0.322420 | + | 1.82854i | ||||
\(202\) | 14.0609 | − | 11.7985i | 0.989322 | − | 0.830140i | ||||
\(203\) | −6.93662 | + | 2.52472i | −0.486855 | + | 0.177201i | ||||
\(204\) | 1.25556 | + | 3.44962i | 0.0879067 | + | 0.241522i | ||||
\(205\) | 11.8279 | + | 9.27268i | 0.826094 | + | 0.647632i | ||||
\(206\) | −1.33663 | − | 7.58041i | −0.0931275 | − | 0.528152i | ||||
\(207\) | 4.20179 | + | 23.8296i | 0.292045 | + | 1.65627i | ||||
\(208\) | −2.43333 | + | 4.21465i | −0.168721 | + | 0.292233i | ||||
\(209\) | 6.53315 | − | 7.78590i | 0.451907 | − | 0.538562i | ||||
\(210\) | −0.970052 | + | 6.81991i | −0.0669399 | + | 0.470618i | ||||
\(211\) | 4.20745 | + | 7.28751i | 0.289653 | + | 0.501693i | 0.973727 | − | 0.227719i | \(-0.0731269\pi\) |
−0.684074 | + | 0.729412i | \(0.739794\pi\) | |||||||
\(212\) | 8.50193 | + | 4.90859i | 0.583915 | + | 0.337123i | ||||
\(213\) | 14.0828 | + | 16.7832i | 0.964936 | + | 1.14997i | ||||
\(214\) | 5.37365 | − | 3.10248i | 0.367335 | − | 0.212081i | ||||
\(215\) | 6.13610 | − | 0.204054i | 0.418479 | − | 0.0139164i | ||||
\(216\) | − | 8.22658i | − | 0.559748i | ||||||
\(217\) | 0.692653 | − | 3.92823i | 0.0470203 | − | 0.266666i | ||||
\(218\) | 6.83908 | − | 8.15050i | 0.463201 | − | 0.552021i | ||||
\(219\) | −21.8829 | + | 7.96474i | −1.47871 | + | 0.538207i | ||||
\(220\) | −0.686223 | + | 4.82446i | −0.0462652 | + | 0.325265i | ||||
\(221\) | 6.03042 | 0.405650 | ||||||||
\(222\) | 9.52975 | − | 15.2947i | 0.639595 | − | 1.02651i | ||||
\(223\) | 23.1615i | 1.55101i | 0.631342 | + | 0.775504i | \(0.282504\pi\) | ||||
−0.631342 | + | 0.775504i | \(0.717496\pi\) | |||||||
\(224\) | 0.355652 | − | 0.977146i | 0.0237630 | − | 0.0652883i | ||||
\(225\) | −20.8442 | + | 19.9954i | −1.38961 | + | 1.33303i | ||||
\(226\) | −6.54128 | − | 5.48878i | −0.435119 | − | 0.365108i | ||||
\(227\) | 0.942780 | − | 5.34677i | 0.0625745 | − | 0.354878i | −0.937404 | − | 0.348245i | \(-0.886778\pi\) |
0.999978 | − | 0.00663250i | \(-0.00211121\pi\) | |||||||
\(228\) | −13.8169 | −0.915046 | ||||||||
\(229\) | 3.76717 | − | 21.3647i | 0.248942 | − | 1.41182i | −0.562216 | − | 0.826990i | \(-0.690051\pi\) |
0.811158 | − | 0.584827i | \(-0.198838\pi\) | |||||||
\(230\) | −6.97080 | + | 6.25556i | −0.459641 | + | 0.412479i | ||||
\(231\) | −5.14293 | + | 4.31543i | −0.338380 | + | 0.283934i | ||||
\(232\) | 6.14779 | + | 3.54943i | 0.403622 | + | 0.233031i | ||||
\(233\) | −9.50761 | + | 5.48922i | −0.622864 | + | 0.359611i | −0.777983 | − | 0.628285i | \(-0.783757\pi\) |
0.155119 | + | 0.987896i | \(0.450424\pi\) | |||||||
\(234\) | −26.4184 | − | 9.61552i | −1.72703 | − | 0.628586i | ||||
\(235\) | −24.8511 | − | 13.2667i | −1.62111 | − | 0.865423i | ||||
\(236\) | −4.80223 | − | 2.77257i | −0.312599 | − | 0.180479i | ||||
\(237\) | −8.18869 | − | 46.4404i | −0.531913 | − | 3.01663i | ||||
\(238\) | −1.26894 | + | 0.223749i | −0.0822533 | + | 0.0145035i | ||||
\(239\) | −14.9013 | − | 17.7587i | −0.963885 | − | 1.14871i | −0.988834 | − | 0.149024i | \(-0.952387\pi\) |
0.0249490 | − | 0.999689i | \(-0.492058\pi\) | |||||||
\(240\) | 5.62374 | − | 3.50110i | 0.363011 | − | 0.225995i | ||||
\(241\) | 4.51890 | + | 12.4156i | 0.291088 | + | 0.799757i | 0.995908 | + | 0.0903713i | \(0.0288054\pi\) |
−0.704820 | + | 0.709386i | \(0.748972\pi\) | |||||||
\(242\) | 4.78834 | − | 4.01789i | 0.307806 | − | 0.258280i | ||||
\(243\) | −3.76124 | + | 0.663208i | −0.241284 | + | 0.0425448i | ||||
\(244\) | 2.74564 | − | 0.484130i | 0.175771 | − | 0.0309933i | ||||
\(245\) | 12.5800 | + | 4.11066i | 0.803709 | + | 0.262620i | ||||
\(246\) | 12.7995 | − | 15.2538i | 0.816063 | − | 0.972546i | ||||
\(247\) | −7.76290 | + | 21.3284i | −0.493942 | + | 1.35709i | ||||
\(248\) | −3.32202 | + | 1.91797i | −0.210948 | + | 0.121791i | ||||
\(249\) | 4.65820 | − | 8.06824i | 0.295201 | − | 0.511304i | ||||
\(250\) | −10.8346 | − | 2.75890i | −0.685240 | − | 0.174488i | ||||
\(251\) | 9.92843 | − | 5.73218i | 0.626677 | − | 0.361812i | −0.152787 | − | 0.988259i | \(-0.548825\pi\) |
0.779464 | + | 0.626447i | \(0.215491\pi\) | |||||||
\(252\) | 5.91583 | + | 1.04312i | 0.372662 | + | 0.0657104i | ||||
\(253\) | −9.12826 | −0.573888 | ||||||||
\(254\) | −7.84470 | − | 1.38323i | −0.492220 | − | 0.0867917i | ||||
\(255\) | −7.24136 | − | 3.86577i | −0.453472 | − | 0.242084i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −10.9493 | − | 3.98521i | −0.682998 | − | 0.248591i | −0.0228635 | − | 0.999739i | \(-0.507278\pi\) |
−0.660134 | + | 0.751148i | \(0.729501\pi\) | |||||||
\(258\) | − | 8.13423i | − | 0.506415i | ||||||
\(259\) | 4.70600 | + | 4.22632i | 0.292417 | + | 0.262611i | ||||
\(260\) | −2.24482 | − | 10.6481i | −0.139218 | − | 0.660369i | ||||
\(261\) | −14.0259 | + | 38.5358i | −0.868180 | + | 2.38531i | ||||
\(262\) | −0.509659 | − | 1.40028i | −0.0314868 | − | 0.0865094i | ||||
\(263\) | −0.165448 | + | 0.197173i | −0.0102019 | + | 0.0121582i | −0.771121 | − | 0.636688i | \(-0.780304\pi\) |
0.760919 | + | 0.648846i | \(0.224748\pi\) | |||||||
\(264\) | 6.35820 | + | 1.12112i | 0.391320 | + | 0.0690003i | ||||
\(265\) | −21.4798 | + | 4.52831i | −1.31949 | + | 0.278172i | ||||
\(266\) | 0.842143 | − | 4.77603i | 0.0516351 | − | 0.292837i | ||||
\(267\) | −18.1961 | − | 31.5166i | −1.11358 | − | 1.92878i | ||||
\(268\) | 5.71148 | + | 6.80668i | 0.348884 | + | 0.415784i | ||||
\(269\) | 9.34933 | − | 16.1935i | 0.570039 | − | 0.987336i | −0.426523 | − | 0.904477i | \(-0.640262\pi\) |
0.996561 | − | 0.0828590i | \(-0.0264051\pi\) | |||||||
\(270\) | 12.2860 | + | 13.6908i | 0.747704 | + | 0.833193i | ||||
\(271\) | 20.6928 | + | 7.53158i | 1.25700 | + | 0.457511i | 0.882761 | − | 0.469822i | \(-0.155682\pi\) |
0.374239 | + | 0.927332i | \(0.377904\pi\) | |||||||
\(272\) | 0.949228 | + | 0.796496i | 0.0575554 | + | 0.0482947i | ||||
\(273\) | 7.49625 | − | 12.9839i | 0.453694 | − | 0.785820i | ||||
\(274\) | −8.53221 | + | 1.50446i | −0.515450 | + | 0.0908877i | ||||
\(275\) | −6.06309 | − | 9.05376i | −0.365618 | − | 0.545962i | ||||
\(276\) | 7.97647 | + | 9.50599i | 0.480127 | + | 0.572193i | ||||
\(277\) | −0.636745 | + | 0.231756i | −0.0382583 | + | 0.0139249i | −0.361078 | − | 0.932535i | \(-0.617591\pi\) |
0.322820 | + | 0.946460i | \(0.395369\pi\) | |||||||
\(278\) | −10.6465 | + | 3.87502i | −0.638537 | + | 0.232408i | ||||
\(279\) | −14.2439 | − | 16.9752i | −0.852760 | − | 1.01628i | ||||
\(280\) | 0.867443 | + | 2.15733i | 0.0518397 | + | 0.128925i | ||||
\(281\) | −23.9729 | + | 4.22707i | −1.43010 | + | 0.252166i | −0.834454 | − | 0.551078i | \(-0.814217\pi\) |
−0.595650 | + | 0.803244i | \(0.703106\pi\) | |||||||
\(282\) | −18.6617 | + | 32.3230i | −1.11129 | + | 1.92480i | ||||
\(283\) | 9.98739 | + | 8.38041i | 0.593688 | + | 0.498164i | 0.889410 | − | 0.457110i | \(-0.151116\pi\) |
−0.295721 | + | 0.955274i | \(0.595560\pi\) | |||||||
\(284\) | 6.94924 | + | 2.52932i | 0.412362 | + | 0.150087i | ||||
\(285\) | 22.9942 | − | 20.6349i | 1.36206 | − | 1.22231i | ||||
\(286\) | 5.30291 | − | 9.18491i | 0.313568 | − | 0.543115i | ||||
\(287\) | 4.49258 | + | 5.35405i | 0.265189 | + | 0.316040i | ||||
\(288\) | −2.88842 | − | 5.00289i | −0.170202 | − | 0.294798i | ||||
\(289\) | −2.68539 | + | 15.2296i | −0.157964 | + | 0.895860i | ||||
\(290\) | −15.5321 | + | 3.27445i | −0.912077 | + | 0.192282i | ||||
\(291\) | 30.0512 | + | 5.29884i | 1.76163 | + | 0.310623i | ||||
\(292\) | −5.05264 | + | 6.02150i | −0.295683 | + | 0.352382i | ||||
\(293\) | −5.56418 | − | 15.2874i | −0.325063 | − | 0.893102i | −0.989341 | − | 0.145617i | \(-0.953483\pi\) |
0.664278 | − | 0.747485i | \(-0.268739\pi\) | |||||||
\(294\) | 5.99718 | − | 16.4771i | 0.349762 | − | 0.960964i | ||||
\(295\) | 12.1326 | − | 2.55777i | 0.706389 | − | 0.148919i | ||||
\(296\) | 0.204440 | − | 6.07933i | 0.0118828 | − | 0.353354i | ||||
\(297\) | 17.9280i | 1.04029i | ||||||||
\(298\) | −6.15429 | − | 2.23998i | −0.356508 | − | 0.129758i | ||||
\(299\) | 19.1554 | − | 6.97200i | 1.10779 | − | 0.403201i | ||||
\(300\) | −4.13035 | + | 14.2254i | −0.238466 | + | 0.821302i | ||||
\(301\) | 2.81172 | + | 0.495783i | 0.162065 | + | 0.0285765i | ||||
\(302\) | 8.62142 | 0.496107 | ||||||||
\(303\) | 53.5525 | + | 9.44275i | 3.07651 | + | 0.542472i | ||||
\(304\) | −4.03898 | + | 2.33191i | −0.231652 | + | 0.133744i | ||||
\(305\) | −3.84629 | + | 4.90618i | −0.220238 | + | 0.280927i | ||||
\(306\) | −3.57912 | + | 6.19922i | −0.204605 | + | 0.354386i | ||||
\(307\) | −5.90124 | + | 3.40708i | −0.336801 | + | 0.194452i | −0.658857 | − | 0.752268i | \(-0.728960\pi\) |
0.322055 | + | 0.946721i | \(0.395626\pi\) | |||||||
\(308\) | −0.775066 | + | 2.12948i | −0.0441635 | + | 0.121338i | ||||
\(309\) | 14.6581 | − | 17.4688i | 0.833870 | − | 0.993768i | ||||
\(310\) | 2.66414 | − | 8.15318i | 0.151313 | − | 0.463070i | ||||
\(311\) | 10.5243 | − | 1.85571i | 0.596776 | − | 0.105228i | 0.132903 | − | 0.991129i | \(-0.457570\pi\) |
0.463874 | + | 0.885901i | \(0.346459\pi\) | |||||||
\(312\) | −14.1988 | + | 2.50363i | −0.803849 | + | 0.141740i | ||||
\(313\) | −8.27157 | + | 6.94067i | −0.467537 | + | 0.392310i | −0.845895 | − | 0.533349i | \(-0.820933\pi\) |
0.378358 | + | 0.925659i | \(0.376489\pi\) | |||||||
\(314\) | 7.13682 | + | 19.6082i | 0.402754 | + | 1.10656i | ||||
\(315\) | −11.4030 | + | 7.09905i | −0.642488 | + | 0.399986i | ||||
\(316\) | −10.2316 | − | 12.1935i | −0.575572 | − | 0.685939i | ||||
\(317\) | −19.3568 | + | 3.41313i | −1.08719 | + | 0.191700i | −0.688391 | − | 0.725339i | \(-0.741683\pi\) |
−0.398796 | + | 0.917040i | \(0.630572\pi\) | |||||||
\(318\) | 5.05040 | + | 28.6423i | 0.283213 | + | 1.60618i | ||||
\(319\) | −13.3978 | − | 7.73520i | −0.750131 | − | 0.433088i | ||||
\(320\) | 1.05305 | − | 1.97258i | 0.0588675 | − | 0.110271i | ||||
\(321\) | 17.2740 | + | 6.28723i | 0.964142 | + | 0.350919i | ||||
\(322\) | −3.77206 | + | 2.17780i | −0.210209 | + | 0.121364i | ||||
\(323\) | 5.00482 | + | 2.88953i | 0.278476 | + | 0.160778i | ||||
\(324\) | 5.39398 | − | 4.52609i | 0.299666 | − | 0.251449i | ||||
\(325\) | 19.6383 | + | 14.3682i | 1.08934 | + | 0.797004i | ||||
\(326\) | −1.12186 | + | 6.36237i | −0.0621339 | + | 0.352379i | ||||
\(327\) | 31.5210 | 1.74311 | ||||||||
\(328\) | 1.16715 | − | 6.61921i | 0.0644448 | − | 0.365485i | ||||
\(329\) | −10.0355 | − | 8.42079i | −0.553275 | − | 0.464253i | ||||
\(330\) | −12.2557 | + | 7.62989i | −0.674655 | + | 0.420012i | ||||
\(331\) | 1.90329 | − | 5.22924i | 0.104614 | − | 0.287425i | −0.876331 | − | 0.481709i | \(-0.840016\pi\) |
0.980945 | + | 0.194284i | \(0.0622384\pi\) | |||||||
\(332\) | − | 3.14470i | − | 0.172588i | ||||||
\(333\) | 34.7908 | − | 4.93533i | 1.90653 | − | 0.270454i | ||||
\(334\) | 14.4630 | 0.791379 | ||||||||
\(335\) | −19.6706 | − | 2.79791i | −1.07472 | − | 0.152866i | ||||
\(336\) | 2.89487 | − | 1.05365i | 0.157928 | − | 0.0574811i | ||||
\(337\) | 16.1526 | − | 19.2500i | 0.879891 | − | 1.04861i | −0.118559 | − | 0.992947i | \(-0.537827\pi\) |
0.998449 | − | 0.0556659i | \(-0.0177282\pi\) | |||||||
\(338\) | −1.85532 | + | 10.5221i | −0.100916 | + | 0.572325i | ||||
\(339\) | − | 25.2975i | − | 1.37397i | ||||||
\(340\) | −2.76924 | + | 0.0920903i | −0.150183 | + | 0.00499430i | ||||
\(341\) | 7.23961 | − | 4.17979i | 0.392047 | − | 0.226348i | ||||
\(342\) | −17.3181 | − | 20.6389i | −0.936453 | − | 1.11602i | ||||
\(343\) | 11.6338 | + | 6.71680i | 0.628168 | + | 0.362673i | ||||
\(344\) | −1.37283 | − | 2.37782i | −0.0740182 | − | 0.128203i | ||||
\(345\) | −27.4713 | − | 3.90747i | −1.47900 | − | 0.210371i | ||||
\(346\) | 8.96058 | − | 10.6788i | 0.481724 | − | 0.574096i | ||||
\(347\) | 9.20588 | − | 15.9450i | 0.494197 | − | 0.855975i | −0.505780 | − | 0.862662i | \(-0.668795\pi\) |
0.999978 | + | 0.00668732i | \(0.00212866\pi\) | |||||||
\(348\) | 3.65197 | + | 20.7114i | 0.195766 | + | 1.11025i | ||||
\(349\) | 0.779178 | + | 4.41894i | 0.0417085 | + | 0.236540i | 0.998534 | − | 0.0541212i | \(-0.0172357\pi\) |
−0.956826 | + | 0.290662i | \(0.906125\pi\) | |||||||
\(350\) | −4.66548 | − | 2.29476i | −0.249380 | − | 0.122660i | ||||
\(351\) | −13.6931 | − | 37.6215i | −0.730884 | − | 2.00809i | ||||
\(352\) | 2.04785 | − | 0.745358i | 0.109151 | − | 0.0397277i | ||||
\(353\) | −13.8187 | + | 11.5953i | −0.735495 | + | 0.617153i | −0.931624 | − | 0.363425i | \(-0.881607\pi\) |
0.196129 | + | 0.980578i | \(0.437163\pi\) | |||||||
\(354\) | −2.85267 | − | 16.1783i | −0.151618 | − | 0.859867i | ||||
\(355\) | −15.3424 | + | 6.16906i | −0.814291 | + | 0.327420i | ||||
\(356\) | −10.6382 | − | 6.14199i | −0.563826 | − | 0.325525i | ||||
\(357\) | −2.92424 | − | 2.45373i | −0.154767 | − | 0.129865i | ||||
\(358\) | −1.43456 | + | 3.94142i | −0.0758187 | + | 0.208310i | ||||
\(359\) | 5.17902 | + | 8.97032i | 0.273338 | + | 0.473435i | 0.969714 | − | 0.244241i | \(-0.0785389\pi\) |
−0.696376 | + | 0.717677i | \(0.745206\pi\) | |||||||
\(360\) | 12.2785 | + | 4.01214i | 0.647135 | + | 0.211458i | ||||
\(361\) | −2.10753 | + | 1.76843i | −0.110923 | + | 0.0930753i | ||||
\(362\) | −11.8896 | − | 20.5934i | −0.624904 | − | 1.08237i | ||||
\(363\) | 18.2369 | + | 3.21566i | 0.957190 | + | 0.168778i | ||||
\(364\) | − | 5.06063i | − | 0.265249i | ||||||
\(365\) | −0.584182 | − | 17.5669i | −0.0305775 | − | 0.919495i | ||||
\(366\) | 6.32725 | + | 5.30919i | 0.330731 | + | 0.277516i | ||||
\(367\) | 8.07354 | + | 22.1819i | 0.421435 | + | 1.15788i | 0.950885 | + | 0.309543i | \(0.100176\pi\) |
−0.529450 | + | 0.848341i | \(0.677602\pi\) | |||||||
\(368\) | 3.93605 | + | 1.43260i | 0.205181 | + | 0.0746796i | ||||
\(369\) | 38.8280 | 2.02131 | ||||||||
\(370\) | 8.73896 | + | 10.4226i | 0.454317 | + | 0.541845i | ||||
\(371\) | −10.2085 | −0.529997 | ||||||||
\(372\) | −10.6789 | − | 3.88680i | −0.553675 | − | 0.201521i | ||||
\(373\) | 1.85733 | + | 5.10298i | 0.0961690 | + | 0.264222i | 0.978444 | − | 0.206512i | \(-0.0662113\pi\) |
−0.882275 | + | 0.470734i | \(0.843989\pi\) | |||||||
\(374\) | −2.06863 | − | 1.73579i | −0.106967 | − | 0.0897556i | ||||
\(375\) | −14.3712 | − | 29.8425i | −0.742124 | − | 1.54106i | ||||
\(376\) | 12.5983i | 0.649707i | ||||||||
\(377\) | 34.0229 | + | 5.99915i | 1.75227 | + | 0.308972i | ||||
\(378\) | 4.27724 | + | 7.40839i | 0.219997 | + | 0.381047i | ||||
\(379\) | −10.1044 | + | 8.47863i | −0.519030 | + | 0.435518i | −0.864294 | − | 0.502988i | \(-0.832234\pi\) |
0.345263 | + | 0.938506i | \(0.387790\pi\) | |||||||
\(380\) | 3.23912 | − | 9.91282i | 0.166163 | − | 0.508517i | ||||
\(381\) | −11.7995 | − | 20.4374i | −0.604507 | − | 1.04704i | ||||
\(382\) | −8.02999 | + | 22.0622i | −0.410850 | + | 1.12880i | ||||
\(383\) | −19.4060 | − | 16.2835i | −0.991599 | − | 0.832050i | −0.00580066 | − | 0.999983i | \(-0.501846\pi\) |
−0.985798 | + | 0.167933i | \(0.946291\pi\) | |||||||
\(384\) | −2.56566 | − | 1.48129i | −0.130928 | − | 0.0755916i | ||||
\(385\) | −1.89040 | − | 4.70142i | −0.0963439 | − | 0.239607i | ||||
\(386\) | −1.96066 | − | 11.1194i | −0.0997949 | − | 0.565965i | ||||
\(387\) | 12.1504 | − | 10.1954i | 0.617641 | − | 0.518262i | ||||
\(388\) | 9.67892 | − | 3.52284i | 0.491373 | − | 0.178845i | ||||
\(389\) | −10.9359 | − | 30.0462i | −0.554473 | − | 1.52340i | −0.827540 | − | 0.561407i | \(-0.810260\pi\) |
0.273067 | − | 0.961995i | \(-0.411962\pi\) | |||||||
\(390\) | 19.8907 | − | 25.3718i | 1.00721 | − | 1.28475i | ||||
\(391\) | −0.901283 | − | 5.11143i | −0.0455798 | − | 0.258496i | ||||
\(392\) | −1.02777 | − | 5.82878i | −0.0519103 | − | 0.294398i | ||||
\(393\) | 2.20733 | − | 3.82321i | 0.111345 | − | 0.192855i | ||||
\(394\) | −14.4164 | + | 17.1808i | −0.726286 | + | 0.865554i | ||||
\(395\) | 35.2380 | + | 5.01219i | 1.77301 | + | 0.252191i | ||||
\(396\) | 6.29468 | + | 10.9027i | 0.316319 | + | 0.547881i | ||||
\(397\) | 19.3984 | + | 11.1997i | 0.973580 | + | 0.562097i | 0.900326 | − | 0.435217i | \(-0.143328\pi\) |
0.0732541 | + | 0.997313i | \(0.476662\pi\) | |||||||
\(398\) | 2.42793 | + | 2.89349i | 0.121701 | + | 0.145038i | ||||
\(399\) | 12.4427 | − | 7.18380i | 0.622915 | − | 0.359640i | ||||
\(400\) | 1.19346 | + | 4.85548i | 0.0596728 | + | 0.242774i | ||||
\(401\) | − | 13.1395i | − | 0.656155i | −0.944651 | − | 0.328077i | \(-0.893599\pi\) | ||
0.944651 | − | 0.328077i | \(-0.106401\pi\) | |||||||
\(402\) | −4.57110 | + | 25.9240i | −0.227986 | + | 1.29297i | ||||
\(403\) | −11.9997 | + | 14.3007i | −0.597747 | + | 0.712367i | ||||
\(404\) | 17.2483 | − | 6.27785i | 0.858133 | − | 0.312335i | ||||
\(405\) | −2.21721 | + | 15.5880i | −0.110174 | + | 0.774575i | ||||
\(406\) | −7.38180 | −0.366352 | ||||||||
\(407\) | −0.445532 | + | 13.2486i | −0.0220842 | + | 0.656707i | ||||
\(408\) | 3.67101i | 0.181742i | ||||||||
\(409\) | 4.63814 | − | 12.7432i | 0.229341 | − | 0.630110i | −0.770633 | − | 0.637279i | \(-0.780060\pi\) |
0.999974 | + | 0.00716921i | \(0.00228205\pi\) | |||||||
\(410\) | 7.94311 | + | 12.7588i | 0.392282 | + | 0.630114i | ||||
\(411\) | −19.6622 | − | 16.4986i | −0.969867 | − | 0.813815i | ||||
\(412\) | 1.33663 | − | 7.58041i | 0.0658511 | − | 0.373460i | ||||
\(413\) | 5.76615 | 0.283734 | ||||||||
\(414\) | −4.20179 | + | 23.8296i | −0.206507 | + | 1.17116i | ||||
\(415\) | 4.69646 | + | 5.23344i | 0.230540 | + | 0.256899i | ||||
\(416\) | −3.72808 | + | 3.12823i | −0.182784 | + | 0.153374i | ||||
\(417\) | −29.0685 | − | 16.7827i | −1.42349 | − | 0.821852i | ||||
\(418\) | 8.80208 | − | 5.08189i | 0.430524 | − | 0.248563i | ||||
\(419\) | 16.8943 | + | 6.14901i | 0.825339 | + | 0.300399i | 0.719944 | − | 0.694032i | \(-0.244167\pi\) |
0.105394 | + | 0.994430i | \(0.466389\pi\) | |||||||
\(420\) | −3.24410 | + | 6.07684i | −0.158296 | + | 0.296519i | ||||
\(421\) | −7.37400 | − | 4.25738i | −0.359387 | − | 0.207492i | 0.309425 | − | 0.950924i | \(-0.399863\pi\) |
−0.668812 | + | 0.743432i | \(0.733197\pi\) | |||||||
\(422\) | 1.46123 | + | 8.28705i | 0.0711316 | + | 0.403407i | ||||
\(423\) | −71.6726 | + | 12.6378i | −3.48484 | + | 0.614471i | ||||
\(424\) | 6.31036 | + | 7.52040i | 0.306458 | + | 0.365223i | ||||
\(425\) | 4.47107 | − | 4.28900i | 0.216879 | − | 0.208047i | ||||
\(426\) | 7.49329 | + | 20.5876i | 0.363051 | + | 0.997474i | ||||
\(427\) | −2.22085 | + | 1.86352i | −0.107475 | + | 0.0901819i | ||||
\(428\) | 6.11069 | − | 1.07748i | 0.295371 | − | 0.0520819i | ||||
\(429\) | 30.9432 | − | 5.45612i | 1.49395 | − | 0.263424i | ||||
\(430\) | 5.83584 | + | 1.90692i | 0.281429 | + | 0.0919599i | ||||
\(431\) | −17.5896 | + | 20.9624i | −0.847259 | + | 1.00972i | 0.152511 | + | 0.988302i | \(0.451264\pi\) |
−0.999771 | + | 0.0214225i | \(0.993180\pi\) | |||||||
\(432\) | 2.81366 | − | 7.73046i | 0.135372 | − | 0.371932i | ||||
\(433\) | 32.2086 | − | 18.5956i | 1.54785 | − | 0.893649i | 0.549540 | − | 0.835467i | \(-0.314803\pi\) |
0.998306 | − | 0.0581819i | \(-0.0185303\pi\) | |||||||
\(434\) | 1.99441 | − | 3.45443i | 0.0957349 | − | 0.165818i | ||||
\(435\) | −37.0091 | − | 29.0140i | −1.77445 | − | 1.39112i | ||||
\(436\) | 9.21427 | − | 5.31986i | 0.441283 | − | 0.254775i | ||||
\(437\) | 19.2383 | + | 3.39224i | 0.920294 | + | 0.162273i | ||||
\(438\) | −23.2873 | −1.11271 | ||||||||
\(439\) | 26.5940 | + | 4.68923i | 1.26926 | + | 0.223805i | 0.767414 | − | 0.641152i | \(-0.221543\pi\) |
0.501847 | + | 0.864957i | \(0.332654\pi\) | |||||||
\(440\) | −2.29490 | + | 4.29881i | −0.109405 | + | 0.204938i | ||||
\(441\) | 32.1294 | − | 11.6941i | 1.52997 | − | 0.556863i | ||||
\(442\) | 5.66674 | + | 2.06252i | 0.269539 | + | 0.0981043i | ||||
\(443\) | − | 38.8839i | − | 1.84743i | −0.383078 | − | 0.923716i | \(-0.625136\pi\) | ||
0.383078 | − | 0.923716i | \(-0.374864\pi\) | |||||||
\(444\) | 14.1861 | − | 11.1129i | 0.673243 | − | 0.527396i | ||||
\(445\) | 26.8771 | − | 5.66616i | 1.27409 | − | 0.268602i | ||||
\(446\) | −7.92170 | + | 21.7647i | −0.375103 | + | 1.03059i | ||||
\(447\) | −6.63609 | − | 18.2325i | −0.313877 | − | 0.862369i | ||||
\(448\) | 0.668408 | − | 0.796577i | 0.0315793 | − | 0.0376347i | ||||
\(449\) | 5.21545 | + | 0.919625i | 0.246132 | + | 0.0433998i | 0.295353 | − | 0.955388i | \(-0.404563\pi\) |
−0.0492208 | + | 0.998788i | \(0.515674\pi\) | |||||||
\(450\) | −26.4260 | + | 11.6604i | −1.24573 | + | 0.549675i | ||||
\(451\) | −2.54354 | + | 14.4251i | −0.119771 | + | 0.679253i | ||||
\(452\) | −4.26952 | − | 7.39502i | −0.200821 | − | 0.347832i | ||||
\(453\) | 16.4178 | + | 19.5660i | 0.771377 | + | 0.919291i | ||||
\(454\) | 2.71463 | − | 4.70187i | 0.127404 | − | 0.220670i | ||||
\(455\) | 7.55782 | + | 8.42196i | 0.354316 | + | 0.394827i | ||||
\(456\) | −12.9836 | − | 4.72566i | −0.608015 | − | 0.221299i | ||||
\(457\) | −1.73260 | − | 1.45383i | −0.0810477 | − | 0.0680071i | 0.601364 | − | 0.798975i | \(-0.294624\pi\) |
−0.682411 | + | 0.730968i | \(0.739069\pi\) | |||||||
\(458\) | 10.8471 | − | 18.7878i | 0.506853 | − | 0.877895i | ||||
\(459\) | −10.0389 | + | 1.77013i | −0.468577 | + | 0.0826228i | ||||
\(460\) | −8.68994 | + | 3.49415i | −0.405170 | + | 0.162916i | ||||
\(461\) | −9.26256 | − | 11.0387i | −0.431400 | − | 0.514123i | 0.505925 | − | 0.862577i | \(-0.331151\pi\) |
−0.937326 | + | 0.348454i | \(0.886707\pi\) | |||||||
\(462\) | −6.30873 | + | 2.29619i | −0.293509 | + | 0.106828i | ||||
\(463\) | −24.3007 | + | 8.84473i | −1.12935 | + | 0.411049i | −0.838056 | − | 0.545584i | \(-0.816308\pi\) |
−0.291293 | + | 0.956634i | \(0.594086\pi\) | |||||||
\(464\) | 4.56306 | + | 5.43804i | 0.211835 | + | 0.252455i | ||||
\(465\) | 23.5767 | − | 9.47999i | 1.09334 | − | 0.439624i | ||||
\(466\) | −10.8117 | + | 1.90639i | −0.500840 | + | 0.0883117i | ||||
\(467\) | 5.22034 | − | 9.04190i | 0.241569 | − | 0.418409i | −0.719593 | − | 0.694396i | \(-0.755671\pi\) |
0.961161 | + | 0.275987i | \(0.0890048\pi\) | |||||||
\(468\) | −21.5365 | − | 18.0713i | −0.995525 | − | 0.835345i | ||||
\(469\) | −8.68242 | − | 3.16014i | −0.400917 | − | 0.145922i | ||||
\(470\) | −18.8150 | − | 20.9662i | −0.867869 | − | 0.967098i | ||||
\(471\) | −30.9095 | + | 53.5368i | −1.42423 | + | 2.46685i | ||||
\(472\) | −3.56435 | − | 4.24782i | −0.164062 | − | 0.195522i | ||||
\(473\) | 2.99179 | + | 5.18193i | 0.137563 | + | 0.238265i | ||||
\(474\) | 8.18869 | − | 46.4404i | 0.376119 | − | 2.13308i | ||||
\(475\) | 9.41377 | + | 21.3345i | 0.431933 | + | 0.978894i | ||||
\(476\) | −1.26894 | − | 0.223749i | −0.0581618 | − | 0.0102555i | ||||
\(477\) | −36.4539 | + | 43.4441i | −1.66911 | + | 1.98917i | ||||
\(478\) | −7.92881 | − | 21.7842i | −0.362655 | − | 0.996388i | ||||
\(479\) | −13.4231 | + | 36.8797i | −0.613318 | + | 1.68508i | 0.109454 | + | 0.993992i | \(0.465090\pi\) |
−0.722772 | + | 0.691087i | \(0.757132\pi\) | |||||||
\(480\) | 6.48204 | − | 1.36653i | 0.295863 | − | 0.0623732i | ||||
\(481\) | −9.18408 | − | 28.1420i | −0.418758 | − | 1.28317i | ||||
\(482\) | 13.2124i | 0.601807i | ||||||||
\(483\) | −12.1256 | − | 4.41336i | −0.551734 | − | 0.200815i | ||||
\(484\) | 5.87377 | − | 2.13788i | 0.266989 | − | 0.0971762i | ||||
\(485\) | −10.8466 | + | 20.3178i | −0.492517 | + | 0.922583i | ||||
\(486\) | −3.76124 | − | 0.663208i | −0.170613 | − | 0.0300837i | ||||
\(487\) | 8.96191 | 0.406103 | 0.203051 | − | 0.979168i | \(-0.434914\pi\) | ||||
0.203051 | + | 0.979168i | \(0.434914\pi\) | |||||||
\(488\) | 2.74564 | + | 0.484130i | 0.124289 | + | 0.0219155i | ||||
\(489\) | −16.5755 | + | 9.56987i | −0.749570 | + | 0.432765i | ||||
\(490\) | 10.4154 | + | 8.16538i | 0.470522 | + | 0.368874i | ||||
\(491\) | −19.8119 | + | 34.3153i | −0.894100 | + | 1.54863i | −0.0591861 | + | 0.998247i | \(0.518851\pi\) |
−0.834914 | + | 0.550380i | \(0.814483\pi\) | |||||||
\(492\) | 17.2447 | − | 9.95621i | 0.777449 | − | 0.448861i | ||||
\(493\) | 3.00854 | − | 8.26591i | 0.135498 | − | 0.372278i | ||||
\(494\) | −14.5895 | + | 17.3871i | −0.656412 | + | 0.782281i | ||||
\(495\) | −26.7584 | − | 8.74357i | −1.20270 | − | 0.392994i | ||||
\(496\) | −3.77766 | + | 0.666103i | −0.169622 | + | 0.0299089i | ||||
\(497\) | −7.57316 | + | 1.33535i | −0.339702 | + | 0.0598987i | ||||
\(498\) | 7.13677 | − | 5.98846i | 0.319806 | − | 0.268349i | ||||
\(499\) | −1.84436 | − | 5.06733i | −0.0825648 | − | 0.226845i | 0.891540 | − | 0.452942i | \(-0.149626\pi\) |
−0.974105 | + | 0.226097i | \(0.927403\pi\) | |||||||
\(500\) | −9.23759 | − | 6.29816i | −0.413118 | − | 0.281662i | ||||
\(501\) | 27.5419 | + | 32.8232i | 1.23048 | + | 1.46643i | ||||
\(502\) | 11.2902 | − | 1.99077i | 0.503906 | − | 0.0888523i | ||||
\(503\) | 0.834435 | + | 4.73232i | 0.0372056 | + | 0.211004i | 0.997743 | − | 0.0671471i | \(-0.0213897\pi\) |
−0.960537 | + | 0.278151i | \(0.910279\pi\) | |||||||
\(504\) | 5.20229 | + | 3.00354i | 0.231728 | + | 0.133788i | ||||
\(505\) | −19.3290 | + | 36.2071i | −0.860131 | + | 1.61120i | ||||
\(506\) | −8.57775 | − | 3.12205i | −0.381328 | − | 0.138792i | ||||
\(507\) | −27.4125 | + | 15.8266i | −1.21743 | + | 0.702885i | ||||
\(508\) | −6.89851 | − | 3.98286i | −0.306072 | − | 0.176711i | ||||
\(509\) | −11.0720 | + | 9.29049i | −0.490757 | + | 0.411794i | −0.854297 | − | 0.519785i | \(-0.826012\pi\) |
0.363541 | + | 0.931578i | \(0.381568\pi\) | |||||||
\(510\) | −5.48248 | − | 6.10933i | −0.242768 | − | 0.270526i | ||||
\(511\) | 1.41937 | − | 8.04963i | 0.0627891 | − | 0.356095i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 6.66241 | − | 37.7844i | 0.294153 | − | 1.66822i | ||||
\(514\) | −8.92594 | − | 7.48975i | −0.393706 | − | 0.330359i | ||||
\(515\) | 9.09656 | + | 14.6116i | 0.400842 | + | 0.643864i | ||||
\(516\) | 2.78207 | − | 7.64368i | 0.122474 | − | 0.336494i | ||||
\(517\) | − | 27.4552i | − | 1.20748i | ||||||
\(518\) | 2.97671 | + | 5.58099i | 0.130789 | + | 0.245215i | ||||
\(519\) | 41.2988 | 1.81282 | ||||||||
\(520\) | 1.53244 | − | 10.7737i | 0.0672019 | − | 0.472460i | ||||
\(521\) | 0.111350 | − | 0.0405279i | 0.00487831 | − | 0.00177556i | −0.339580 | − | 0.940577i | \(-0.610285\pi\) |
0.344458 | + | 0.938802i | \(0.388063\pi\) | |||||||
\(522\) | −26.3600 | + | 31.4147i | −1.15375 | + | 1.37498i | ||||
\(523\) | −6.46190 | + | 36.6473i | −0.282559 | + | 1.60247i | 0.431317 | + | 0.902201i | \(0.358049\pi\) |
−0.713876 | + | 0.700272i | \(0.753062\pi\) | |||||||
\(524\) | − | 1.49014i | − | 0.0650972i | ||||||
\(525\) | −3.67662 | − | 14.9580i | −0.160461 | − | 0.652823i | ||||
\(526\) | −0.222907 | + | 0.128695i | −0.00971920 | + | 0.00561138i | ||||
\(527\) | 3.05531 | + | 3.64118i | 0.133091 | + | 0.158612i | ||||
\(528\) | 5.59130 | + | 3.22814i | 0.243330 | + | 0.140487i | ||||
\(529\) | 2.72759 | + | 4.72433i | 0.118591 | + | 0.205406i | ||||
\(530\) | −21.7331 | − | 3.09128i | −0.944027 | − | 0.134277i | ||||
\(531\) | 20.5907 | − | 24.5390i | 0.893558 | − | 1.06490i | ||||
\(532\) | 2.42485 | − | 4.19997i | 0.105131 | − | 0.182092i | ||||
\(533\) | −5.68010 | − | 32.2135i | −0.246033 | − | 1.39532i | ||||
\(534\) | −6.31944 | − | 35.8393i | −0.273469 | − | 1.55092i | ||||
\(535\) | −8.56030 | + | 10.9192i | −0.370094 | + | 0.472077i | ||||
\(536\) | 3.03902 | + | 8.34963i | 0.131265 | + | 0.360649i | ||||
\(537\) | −11.6767 | + | 4.24998i | −0.503888 | + | 0.183400i | ||||
\(538\) | 14.3240 | − | 12.0193i | 0.617552 | − | 0.518187i | ||||
\(539\) | 2.23980 | + | 12.7025i | 0.0964751 | + | 0.547138i | ||||
\(540\) | 6.86257 | + | 17.0672i | 0.295318 | + | 0.734454i | ||||
\(541\) | −15.3004 | − | 8.83367i | −0.657814 | − | 0.379789i | 0.133630 | − | 0.991031i | \(-0.457337\pi\) |
−0.791444 | + | 0.611242i | \(0.790670\pi\) | |||||||
\(542\) | 16.8690 | + | 14.1547i | 0.724584 | + | 0.607998i | ||||
\(543\) | 24.0945 | − | 66.1991i | 1.03399 | − | 2.84088i | ||||
\(544\) | 0.619564 | + | 1.07312i | 0.0265636 | + | 0.0460095i | ||||
\(545\) | −7.38951 | + | 22.6145i | −0.316532 | + | 0.968697i | ||||
\(546\) | 11.4849 | − | 9.63699i | 0.491509 | − | 0.412425i | ||||
\(547\) | −1.84100 | − | 3.18871i | −0.0787157 | − | 0.136340i | 0.823980 | − | 0.566618i | \(-0.191749\pi\) |
−0.902696 | + | 0.430279i | \(0.858415\pi\) | |||||||
\(548\) | −8.53221 | − | 1.50446i | −0.364478 | − | 0.0642673i | ||||
\(549\) | 16.1058i | 0.687378i | ||||||||
\(550\) | −2.60088 | − | 10.5815i | −0.110902 | − | 0.451195i | ||||
\(551\) | 25.3620 | + | 21.2813i | 1.08046 | + | 0.906612i | ||||
\(552\) | 4.24419 | + | 11.6608i | 0.180645 | + | 0.496318i | ||||
\(553\) | 15.5537 | + | 5.66110i | 0.661413 | + | 0.240734i | ||||
\(554\) | −0.677610 | −0.0287889 | ||||||||
\(555\) | −7.01204 | + | 39.6806i | −0.297644 | + | 1.68435i | ||||
\(556\) | −11.3298 | −0.480491 | ||||||||
\(557\) | 30.4917 | + | 11.0981i | 1.29198 | + | 0.470241i | 0.894375 | − | 0.447318i | \(-0.147621\pi\) |
0.397601 | + | 0.917558i | \(0.369843\pi\) | |||||||
\(558\) | −7.57902 | − | 20.8232i | −0.320846 | − | 0.881516i | ||||
\(559\) | −10.2361 | − | 8.58907i | −0.432939 | − | 0.363279i | ||||
\(560\) | 0.0772807 | + | 2.32391i | 0.00326571 | + | 0.0982030i | ||||
\(561\) | − | 8.00016i | − | 0.337767i | ||||||
\(562\) | −23.9729 | − | 4.22707i | −1.01124 | − | 0.178308i | ||||
\(563\) | −3.17479 | − | 5.49889i | −0.133801 | − | 0.231751i | 0.791338 | − | 0.611379i | \(-0.209385\pi\) |
−0.925139 | + | 0.379629i | \(0.876052\pi\) | |||||||
\(564\) | −28.5913 | + | 23.9910i | −1.20391 | + | 1.01020i | ||||
\(565\) | 18.1495 | + | 5.93054i | 0.763555 | + | 0.249500i | ||||
\(566\) | 6.51880 | + | 11.2909i | 0.274006 | + | 0.474592i | ||||
\(567\) | −2.50427 | + | 6.88042i | −0.105169 | + | 0.288951i | ||||
\(568\) | 5.66507 | + | 4.75356i | 0.237701 | + | 0.199455i | ||||
\(569\) | −1.24518 | − | 0.718906i | −0.0522007 | − | 0.0301381i | 0.473672 | − | 0.880701i | \(-0.342928\pi\) |
−0.525873 | + | 0.850563i | \(0.676261\pi\) | |||||||
\(570\) | 28.6651 | − | 11.5260i | 1.20065 | − | 0.482770i | ||||
\(571\) | −6.75144 | − | 38.2893i | −0.282539 | − | 1.60236i | −0.713946 | − | 0.700201i | \(-0.753094\pi\) |
0.431407 | − | 0.902157i | \(-0.358017\pi\) | |||||||
\(572\) | 8.12453 | − | 6.81729i | 0.339704 | − | 0.285045i | ||||
\(573\) | −65.3609 | + | 23.7894i | −2.73049 | + | 0.993818i | ||||
\(574\) | 2.39045 | + | 6.56772i | 0.0997756 | + | 0.274131i | ||||
\(575\) | 9.24353 | − | 18.7930i | 0.385482 | − | 0.783723i | ||||
\(576\) | −1.00314 | − | 5.68907i | −0.0417974 | − | 0.237045i | ||||
\(577\) | 6.83944 | + | 38.7884i | 0.284730 | + | 1.61478i | 0.706249 | + | 0.707963i | \(0.250386\pi\) |
−0.421520 | + | 0.906819i | \(0.638503\pi\) | |||||||
\(578\) | −7.73228 | + | 13.3927i | −0.321620 | + | 0.557063i | ||||
\(579\) | 21.5015 | − | 25.6245i | 0.893571 | − | 1.06492i | ||||
\(580\) | −15.7153 | − | 2.23532i | −0.652544 | − | 0.0928168i | ||||
\(581\) | 1.63502 | + | 2.83194i | 0.0678320 | + | 0.117488i | ||||
\(582\) | 26.4266 | + | 15.2574i | 1.09542 | + | 0.632439i | ||||
\(583\) | −13.7521 | − | 16.3891i | −0.569552 | − | 0.678766i | ||||
\(584\) | −6.80740 | + | 3.93026i | −0.281692 | + | 0.162635i | ||||
\(585\) | 62.8299 | − | 2.08939i | 2.59770 | − | 0.0863855i | ||||
\(586\) | − | 16.2686i | − | 0.672048i | ||||||
\(587\) | −3.12951 | + | 17.7483i | −0.129169 | + | 0.732551i | 0.849576 | + | 0.527467i | \(0.176858\pi\) |
−0.978744 | + | 0.205085i | \(0.934253\pi\) | |||||||
\(588\) | 11.2710 | − | 13.4323i | 0.464808 | − | 0.553937i | ||||
\(589\) | −16.8112 | + | 6.11878i | −0.692693 | + | 0.252120i | ||||
\(590\) | 12.2757 | + | 1.74608i | 0.505385 | + | 0.0718850i | ||||
\(591\) | −66.4443 | −2.73315 | ||||||||
\(592\) | 2.27136 | − | 5.64278i | 0.0933524 | − | 0.231917i | ||||
\(593\) | 3.27681i | 0.134562i | 0.997734 | + | 0.0672811i | \(0.0214324\pi\) | ||||
−0.997734 | + | 0.0672811i | \(0.978568\pi\) | |||||||
\(594\) | −6.13175 | + | 16.8469i | −0.251589 | + | 0.691235i | ||||
\(595\) | 2.44594 | − | 1.52274i | 0.100274 | − | 0.0624263i | ||||
\(596\) | −5.01702 | − | 4.20978i | −0.205505 | − | 0.172439i | ||||
\(597\) | −1.94316 | + | 11.0202i | −0.0795281 | + | 0.451026i | ||||
\(598\) | 20.3848 | 0.833595 | ||||||||
\(599\) | 3.41713 | − | 19.3795i | 0.139620 | − | 0.791824i | −0.831910 | − | 0.554910i | \(-0.812753\pi\) |
0.971530 | − | 0.236915i | \(-0.0761361\pi\) | |||||||
\(600\) | −8.74662 | + | 11.9548i | −0.357079 | + | 0.488053i | ||||
\(601\) | 36.6049 | − | 30.7152i | 1.49315 | − | 1.25290i | 0.602567 | − | 0.798068i | \(-0.294145\pi\) |
0.890579 | − | 0.454830i | \(-0.150300\pi\) | |||||||
\(602\) | 2.47259 | + | 1.42755i | 0.100775 | + | 0.0581826i | ||||
\(603\) | −44.4531 | + | 25.6650i | −1.81027 | + | 1.04516i | ||||
\(604\) | 8.10149 | + | 2.94870i | 0.329645 | + | 0.119981i | ||||
\(605\) | −6.58236 | + | 12.3301i | −0.267611 | + | 0.501289i | ||||
\(606\) | 47.0933 | + | 27.1893i | 1.91303 | + | 1.10449i | ||||
\(607\) | −0.557052 | − | 3.15920i | −0.0226100 | − | 0.128228i | 0.971414 | − | 0.237394i | \(-0.0762932\pi\) |
−0.994024 | + | 0.109166i | \(0.965182\pi\) | |||||||
\(608\) | −4.59296 | + | 0.809863i | −0.186269 | + | 0.0328443i | ||||
\(609\) | −14.0572 | − | 16.7527i | −0.569626 | − | 0.678854i | ||||
\(610\) | −5.29234 | + | 3.29479i | −0.214281 | + | 0.133402i | ||||
\(611\) | 20.9698 | + | 57.6140i | 0.848347 | + | 2.33081i | ||||
\(612\) | −5.48353 | + | 4.60123i | −0.221659 | + | 0.185994i | ||||
\(613\) | 2.09394 | − | 0.369219i | 0.0845736 | − | 0.0149126i | −0.131201 | − | 0.991356i | \(-0.541883\pi\) |
0.215775 | + | 0.976443i | \(0.430772\pi\) | |||||||
\(614\) | −6.71064 | + | 1.18327i | −0.270819 | + | 0.0477528i | ||||
\(615\) | −13.8296 | + | 42.3233i | −0.557663 | + | 1.70664i | ||||
\(616\) | −1.45665 | + | 1.73597i | −0.0586900 | + | 0.0699441i | ||||
\(617\) | −11.0588 | + | 30.3837i | −0.445209 | + | 1.22320i | 0.490814 | + | 0.871264i | \(0.336699\pi\) |
−0.936023 | + | 0.351938i | \(0.885523\pi\) | |||||||
\(618\) | 19.7488 | − | 11.4020i | 0.794414 | − | 0.458655i | ||||
\(619\) | −1.27227 | + | 2.20364i | −0.0511370 | + | 0.0885718i | −0.890461 | − | 0.455060i | \(-0.849618\pi\) |
0.839324 | + | 0.543632i | \(0.182951\pi\) | |||||||
\(620\) | 5.29202 | − | 6.75030i | 0.212533 | − | 0.271098i | ||||
\(621\) | −29.8418 | + | 17.2292i | −1.19751 | + | 0.691382i | ||||
\(622\) | 10.5243 | + | 1.85571i | 0.421984 | + | 0.0744072i | ||||
\(623\) | 12.7736 | 0.511763 | ||||||||
\(624\) | −14.1988 | − | 2.50363i | −0.568407 | − | 0.100225i | ||||
\(625\) | 24.7793 | − | 3.31445i | 0.991173 | − | 0.132578i | ||||
\(626\) | −10.1466 | + | 3.69305i | −0.405539 | + | 0.147604i | ||||
\(627\) | 28.2950 | + | 10.2985i | 1.12999 | + | 0.411284i | ||||
\(628\) | 20.8667i | 0.832670i | ||||||||
\(629\) | −7.46261 | + | 1.05862i | −0.297554 | + | 0.0422101i | ||||
\(630\) | −13.1434 | + | 2.77085i | −0.523644 | + | 0.110393i | ||||
\(631\) | 7.18407 | − | 19.7381i | 0.285993 | − | 0.785760i | −0.710624 | − | 0.703572i | \(-0.751587\pi\) |
0.996617 | − | 0.0821875i | \(-0.0261906\pi\) | |||||||
\(632\) | −5.44411 | − | 14.9576i | −0.216555 | − | 0.594980i | ||||
\(633\) | −16.0245 | + | 19.0973i | −0.636918 | + | 0.759049i | ||||
\(634\) | −19.3568 | − | 3.41313i | −0.768757 | − | 0.135553i | ||||
\(635\) | 17.4288 | − | 3.67430i | 0.691641 | − | 0.145810i | ||||
\(636\) | −5.05040 | + | 28.6423i | −0.200262 | + | 1.13574i | ||||
\(637\) | −14.4021 | − | 24.9452i | −0.570634 | − | 0.988366i | ||||
\(638\) | −9.94418 | − | 11.8510i | −0.393694 | − | 0.469186i | ||||
\(639\) | −21.3605 | + | 36.9975i | −0.845009 | + | 1.46360i | ||||
\(640\) | 1.66421 | − | 1.49345i | 0.0657837 | − | 0.0590340i | ||||
\(641\) | 44.8926 | + | 16.3396i | 1.77315 | + | 0.645374i | 0.999937 | + | 0.0112264i | \(0.00357354\pi\) |
0.773212 | + | 0.634147i | \(0.218649\pi\) | |||||||
\(642\) | 14.0819 | + | 11.8161i | 0.555769 | + | 0.466345i | ||||
\(643\) | −3.81531 | + | 6.60831i | −0.150461 | + | 0.260606i | −0.931397 | − | 0.364005i | \(-0.881409\pi\) |
0.780936 | + | 0.624611i | \(0.214742\pi\) | |||||||
\(644\) | −4.28943 | + | 0.756342i | −0.169027 | + | 0.0298041i | ||||
\(645\) | 6.78553 | + | 16.8756i | 0.267180 | + | 0.664475i | ||||
\(646\) | 3.71471 | + | 4.42702i | 0.146153 | + | 0.174179i | ||||
\(647\) | −34.6407 | + | 12.6082i | −1.36187 | + | 0.495679i | −0.916631 | − | 0.399735i | \(-0.869102\pi\) |
−0.445235 | + | 0.895414i | \(0.646880\pi\) | |||||||
\(648\) | 6.61670 | − | 2.40828i | 0.259928 | − | 0.0946062i | ||||
\(649\) | 7.76771 | + | 9.25720i | 0.304909 | + | 0.363377i | ||||
\(650\) | 13.5398 | + | 20.2184i | 0.531074 | + | 0.793031i | ||||
\(651\) | 11.6377 | − | 2.05203i | 0.456116 | − | 0.0804255i | ||||
\(652\) | −3.23026 | + | 5.59497i | −0.126507 | + | 0.219116i | ||||
\(653\) | 1.49310 | + | 1.25286i | 0.0584295 | + | 0.0490282i | 0.671535 | − | 0.740973i | \(-0.265635\pi\) |
−0.613105 | + | 0.790001i | \(0.710080\pi\) | |||||||
\(654\) | 29.6200 | + | 10.7808i | 1.15823 | + | 0.421563i | ||||
\(655\) | 2.22546 | + | 2.47991i | 0.0869559 | + | 0.0968981i | ||||
\(656\) | 3.36066 | − | 5.82084i | 0.131212 | − | 0.227266i | ||||
\(657\) | −29.1883 | − | 34.7852i | −1.13874 | − | 1.35710i | ||||
\(658\) | −6.55021 | − | 11.3453i | −0.255354 | − | 0.442286i | ||||
\(659\) | −1.01443 | + | 5.75312i | −0.0395166 | + | 0.224110i | −0.998170 | − | 0.0604655i | \(-0.980741\pi\) |
0.958654 | + | 0.284575i | \(0.0918526\pi\) | |||||||
\(660\) | −14.1262 | + | 2.97805i | −0.549861 | + | 0.115920i | ||||
\(661\) | −31.5199 | − | 5.55781i | −1.22598 | − | 0.216174i | −0.477084 | − | 0.878858i | \(-0.658306\pi\) |
−0.748899 | + | 0.662684i | \(0.769417\pi\) | |||||||
\(662\) | 3.57701 | − | 4.26292i | 0.139024 | − | 0.165683i | ||||
\(663\) | 6.11038 | + | 16.7881i | 0.237307 | + | 0.651997i | ||||
\(664\) | 1.07555 | − | 2.95505i | 0.0417394 | − | 0.114678i | ||||
\(665\) | 2.23700 | + | 10.6110i | 0.0867469 | + | 0.411478i | ||||
\(666\) | 34.3807 | + | 7.26147i | 1.33222 | + | 0.281376i | ||||
\(667\) | − | 29.7346i | − | 1.15133i | ||||||
\(668\) | 13.5908 | + | 4.94663i | 0.525842 | + | 0.191391i | ||||
\(669\) | −64.4795 | + | 23.4686i | −2.49292 | + | 0.907349i | ||||
\(670\) | −17.5273 | − | 9.35690i | −0.677140 | − | 0.361489i | ||||
\(671\) | −5.98352 | − | 1.05506i | −0.230991 | − | 0.0407300i | ||||
\(672\) | 3.08065 | 0.118839 | ||||||||
\(673\) | 15.2333 | + | 2.68605i | 0.587202 | + | 0.103540i | 0.459352 | − | 0.888254i | \(-0.348081\pi\) |
0.127849 | + | 0.991794i | \(0.459193\pi\) | |||||||
\(674\) | 21.7624 | − | 12.5645i | 0.838256 | − | 0.483968i | ||||
\(675\) | −36.9098 | − | 18.1544i | −1.42066 | − | 0.698765i | ||||
\(676\) | −5.34219 | + | 9.25295i | −0.205469 | + | 0.355883i | ||||
\(677\) | −16.7515 | + | 9.67147i | −0.643812 | + | 0.371705i | −0.786081 | − | 0.618123i | \(-0.787893\pi\) |
0.142270 | + | 0.989828i | \(0.454560\pi\) | |||||||
\(678\) | 8.65225 | − | 23.7719i | 0.332288 | − | 0.912953i | ||||
\(679\) | −6.88466 | + | 8.20482i | −0.264209 | + | 0.314872i | ||||
\(680\) | −2.63374 | − | 0.860601i | −0.100999 | − | 0.0330025i | ||||
\(681\) | 15.8402 | − | 2.79305i | 0.606998 | − | 0.107030i | ||||
\(682\) | 8.23259 | − | 1.45163i | 0.315242 | − | 0.0555857i | ||||
\(683\) | −11.4191 | + | 9.58180i | −0.436942 | + | 0.366638i | −0.834563 | − | 0.550912i | \(-0.814280\pi\) |
0.397622 | + | 0.917549i | \(0.369836\pi\) | |||||||
\(684\) | −9.21475 | − | 25.3173i | −0.352335 | − | 0.968031i | ||||
\(685\) | 16.4462 | − | 10.2387i | 0.628378 | − | 0.391202i | ||||
\(686\) | 8.63495 | + | 10.2907i | 0.329684 | + | 0.392902i | ||||
\(687\) | 63.2944 | − | 11.1605i | 2.41483 | − | 0.425800i | ||||
\(688\) | −0.476780 | − | 2.70395i | −0.0181771 | − | 0.103087i | ||||
\(689\) | 41.3760 | + | 23.8884i | 1.57630 | + | 0.910077i | ||||
\(690\) | −24.4781 | − | 13.0676i | −0.931867 | − | 0.497473i | ||||
\(691\) | −33.6488 | − | 12.2472i | −1.28006 | − | 0.465904i | −0.389608 | − | 0.920981i | \(-0.627390\pi\) |
−0.890452 | + | 0.455077i | \(0.849612\pi\) | |||||||
\(692\) | 12.0726 | − | 6.97009i | 0.458930 | − | 0.264963i | ||||
\(693\) | −11.3373 | − | 6.54557i | −0.430667 | − | 0.248646i | ||||
\(694\) | 14.1042 | − | 11.8348i | 0.535389 | − | 0.449245i | ||||
\(695\) | 18.8552 | − | 16.9205i | 0.715218 | − | 0.641833i | ||||
\(696\) | −3.65197 | + | 20.7114i | −0.138428 | + | 0.785062i | ||||
\(697\) | −8.32859 | −0.315468 | ||||||||
\(698\) | −0.779178 | + | 4.41894i | −0.0294923 | + | 0.167259i | ||||
\(699\) | −24.9152 | − | 20.9063i | −0.942378 | − | 0.790749i | ||||
\(700\) | −3.59926 | − | 3.75206i | −0.136039 | − | 0.141814i | ||||
\(701\) | 2.29765 | − | 6.31275i | 0.0867812 | − | 0.238429i | −0.888709 | − | 0.458471i | \(-0.848397\pi\) |
0.975490 | + | 0.220042i | \(0.0706194\pi\) | |||||||
\(702\) | − | 40.0360i | − | 1.51106i | ||||||
\(703\) | 5.86241 | − | 27.7566i | 0.221105 | − | 1.04686i | ||||
\(704\) | 2.17928 | 0.0821348 | ||||||||
\(705\) | 11.7526 | − | 82.6259i | 0.442627 | − | 3.11187i | ||||
\(706\) | −16.9511 | + | 6.16971i | −0.637964 | + | 0.232200i | ||||
\(707\) | −12.2688 | + | 14.6213i | −0.461414 | + | 0.549892i | ||||
\(708\) | 2.85267 | − | 16.1783i | 0.107210 | − | 0.608018i | ||||
\(709\) | − | 11.1645i | − | 0.419293i | −0.977777 | − | 0.209646i | \(-0.932769\pi\) | ||
0.977777 | − | 0.209646i | \(-0.0672313\pi\) | |||||||
\(710\) | −16.5271 | + | 0.549603i | −0.620251 | + | 0.0206262i | ||||
\(711\) | 79.6336 | − | 45.9765i | 2.98649 | − | 1.72425i | ||||
\(712\) | −7.89599 | − | 9.41008i | −0.295915 | − | 0.352658i | ||||
\(713\) | 13.9148 | + | 8.03370i | 0.521113 | + | 0.300865i | ||||
\(714\) | −1.90866 | − | 3.30590i | −0.0714299 | − | 0.123720i | ||||
\(715\) | −3.33962 | + | 23.4790i | −0.124895 | + | 0.878066i | ||||
\(716\) | −2.69609 | + | 3.21307i | −0.100758 | + | 0.120078i | ||||
\(717\) | 34.3396 | − | 59.4780i | 1.28244 | − | 2.22125i | ||||
\(718\) | 1.79865 | + | 10.2007i | 0.0671252 | + | 0.380686i | ||||
\(719\) | −2.85513 | − | 16.1922i | −0.106478 | − | 0.603868i | −0.990620 | − | 0.136649i | \(-0.956367\pi\) |
0.884141 | − | 0.467220i | \(-0.154744\pi\) | |||||||
\(720\) | 10.1658 | + | 7.96968i | 0.378857 | + | 0.297012i | ||||
\(721\) | 2.73758 | + | 7.52144i | 0.101953 | + | 0.280113i | ||||
\(722\) | −2.58527 | + | 0.940963i | −0.0962139 | + | 0.0350190i | ||||
\(723\) | −29.9850 | + | 25.1604i | −1.11515 | + | 0.935725i | ||||
\(724\) | −4.12922 | − | 23.4180i | −0.153461 | − | 0.870321i | ||||
\(725\) | 29.4920 | − | 19.7501i | 1.09530 | − | 0.733500i | ||||
\(726\) | 16.0373 | + | 9.25912i | 0.595199 | + | 0.343638i | ||||
\(727\) | −5.81383 | − | 4.87838i | −0.215623 | − | 0.180929i | 0.528578 | − | 0.848885i | \(-0.322725\pi\) |
−0.744201 | + | 0.667955i | \(0.767170\pi\) | |||||||
\(728\) | 1.73084 | − | 4.75544i | 0.0641491 | − | 0.176248i | ||||
\(729\) | −16.2194 | − | 28.0929i | −0.600720 | − | 1.04048i | ||||
\(730\) | 5.45929 | − | 16.7073i | 0.202057 | − | 0.618366i | ||||
\(731\) | −2.60626 | + | 2.18691i | −0.0963960 | + | 0.0808859i | ||||
\(732\) | 4.12982 | + | 7.15305i | 0.152642 | + | 0.264384i | ||||
\(733\) | −21.4817 | − | 3.78780i | −0.793443 | − | 0.139905i | −0.237787 | − | 0.971317i | \(-0.576422\pi\) |
−0.555657 | + | 0.831412i | \(0.687533\pi\) | |||||||
\(734\) | 23.6054i | 0.871293i | ||||||||
\(735\) | 1.30314 | + | 39.1868i | 0.0480672 | + | 1.44543i | ||||
\(736\) | 3.20869 | + | 2.69241i | 0.118274 | + | 0.0992437i | ||||
\(737\) | −6.62287 | − | 18.1962i | −0.243957 | − | 0.670265i | ||||
\(738\) | 36.4864 | + | 13.2800i | 1.34308 | + | 0.488842i | ||||
\(739\) | 38.1034 | 1.40166 | 0.700828 | − | 0.713331i | \(-0.252814\pi\) | ||||
0.700828 | + | 0.713331i | \(0.252814\pi\) | |||||||
\(740\) | 4.64720 | + | 12.7829i | 0.170835 | + | 0.469910i | ||||
\(741\) | −67.2421 | −2.47020 | ||||||||
\(742\) | −9.59283 | − | 3.49150i | −0.352164 | − | 0.128177i | ||||
\(743\) | −1.92370 | − | 5.28533i | −0.0705738 | − | 0.193900i | 0.899391 | − | 0.437145i | \(-0.144010\pi\) |
−0.969965 | + | 0.243245i | \(0.921788\pi\) | |||||||
\(744\) | −8.70551 | − | 7.30479i | −0.319160 | − | 0.267807i | ||||
\(745\) | 14.6365 | − | 0.486731i | 0.536239 | − | 0.0178325i | ||||
\(746\) | 5.43048i | 0.198824i | ||||||||
\(747\) | 17.8904 | + | 3.15456i | 0.654576 | + | 0.115419i | ||||
\(748\) | −1.35021 | − | 2.33862i | −0.0493684 | − | 0.0855086i | ||||
\(749\) | −4.94272 | + | 4.14744i | −0.180603 | + | 0.151544i | ||||
\(750\) | −3.29775 | − | 32.9580i | −0.120417 | − | 1.20346i | ||||
\(751\) | −21.9873 | − | 38.0831i | −0.802328 | − | 1.38967i | −0.918080 | − | 0.396395i | \(-0.870261\pi\) |
0.115751 | − | 0.993278i | \(-0.463072\pi\) | |||||||
\(752\) | −4.30887 | + | 11.8385i | −0.157128 | + | 0.431706i | ||||
\(753\) | 26.0180 | + | 21.8317i | 0.948147 | + | 0.795590i | ||||
\(754\) | 29.9192 | + | 17.2739i | 1.08959 | + | 0.629077i | ||||
\(755\) | −17.8863 | + | 7.19194i | −0.650950 | + | 0.261742i | ||||
\(756\) | 1.48547 | + | 8.42451i | 0.0540260 | + | 0.306397i | ||||
\(757\) | −12.6664 | + | 10.6284i | −0.460368 | + | 0.386294i | −0.843266 | − | 0.537496i | \(-0.819370\pi\) |
0.382899 | + | 0.923790i | \(0.374926\pi\) | |||||||
\(758\) | −12.3949 | + | 4.51139i | −0.450204 | + | 0.163861i | ||||
\(759\) | −9.24929 | − | 25.4122i | −0.335728 | − | 0.922405i | ||||
\(760\) | 6.43416 | − | 8.20716i | 0.233392 | − | 0.297705i | ||||
\(761\) | 0.374025 | + | 2.12120i | 0.0135584 | + | 0.0768935i | 0.990836 | − | 0.135069i | \(-0.0431256\pi\) |
−0.977278 | + | 0.211963i | \(0.932015\pi\) | |||||||
\(762\) | −4.09793 | − | 23.2405i | −0.148452 | − | 0.841914i | ||||
\(763\) | −5.53190 | + | 9.58153i | −0.200268 | + | 0.346875i | ||||
\(764\) | −15.0914 | + | 17.9853i | −0.545989 | + | 0.650685i | ||||
\(765\) | 2.25402 | − | 15.8468i | 0.0814944 | − | 0.572943i | ||||
\(766\) | −12.6664 | − | 21.9388i | −0.457654 | − | 0.792680i | ||||
\(767\) | −23.3708 | − | 13.4932i | −0.843872 | − | 0.487209i | ||||
\(768\) | −1.90431 | − | 2.26946i | −0.0687157 | − | 0.0818922i | ||||
\(769\) | −12.4128 | + | 7.16654i | −0.447617 | + | 0.258432i | −0.706823 | − | 0.707390i | \(-0.749872\pi\) |
0.259206 | + | 0.965822i | \(0.416539\pi\) | |||||||
\(770\) | −0.168416 | − | 5.06445i | −0.00606931 | − | 0.182510i | ||||
\(771\) | − | 34.5199i | − | 1.24320i | ||||||
\(772\) | 1.96066 | − | 11.1194i | 0.0705657 | − | 0.400198i | ||||
\(773\) | 28.8965 | − | 34.4375i | 1.03934 | − | 1.23863i | 0.0688112 | − | 0.997630i | \(-0.478079\pi\) |
0.970525 | − | 0.241002i | \(-0.0774762\pi\) | |||||||
\(774\) | 14.9047 | − | 5.42487i | 0.535739 | − | 0.194993i | ||||
\(775\) | 1.27422 | + | 19.1373i | 0.0457713 | + | 0.687432i | ||||
\(776\) | 10.3001 | 0.369752 | ||||||||
\(777\) | −6.99728 | + | 17.3834i | −0.251026 | + | 0.623627i | ||||
\(778\) | − | 31.9745i | − | 1.14634i | ||||||
\(779\) | 10.7213 | − | 29.4566i | 0.384131 | − | 1.05539i | ||||
\(780\) | 27.3688 | − | 17.0387i | 0.979962 | − | 0.610083i | ||||
\(781\) | −12.3458 | − | 10.3593i | −0.441767 | − | 0.370687i | ||||
\(782\) | 0.901283 | − | 5.11143i | 0.0322298 | − | 0.182784i | ||||
\(783\) | −58.3993 | −2.08702 | ||||||||
\(784\) | 1.02777 | − | 5.82878i | 0.0367061 | − | 0.208171i | ||||
\(785\) | −31.1634 | − | 34.7265i | −1.11227 | − | 1.23944i | ||||
\(786\) | 3.38182 | − | 2.83769i | 0.120626 | − | 0.101217i | ||||
\(787\) | 8.24982 | + | 4.76304i | 0.294074 | + | 0.169784i | 0.639778 | − | 0.768560i | \(-0.279026\pi\) |
−0.345703 | + | 0.938344i | \(0.612360\pi\) | |||||||
\(788\) | −19.4231 | + | 11.2139i | −0.691920 | + | 0.399480i | ||||
\(789\) | −0.716552 | − | 0.260804i | −0.0255099 | − | 0.00928485i | ||||
\(790\) | 31.3986 | + | 16.7620i | 1.11711 | + | 0.596366i | ||||
\(791\) | 7.68976 | + | 4.43969i | 0.273417 | + | 0.157857i | ||||
\(792\) | 2.18612 | + | 12.3981i | 0.0776804 | + | 0.440547i | ||||
\(793\) | 13.3621 | − | 2.35610i | 0.474502 | − | 0.0836674i | ||||
\(794\) | 14.3981 | + | 17.1589i | 0.510968 | + | 0.608948i | ||||
\(795\) | −34.3710 | − | 55.2093i | −1.21901 | − | 1.95807i | ||||
\(796\) | 1.29187 | + | 3.54940i | 0.0457893 | + | 0.125805i | ||||
\(797\) | 0.852660 | − | 0.715467i | 0.0302028 | − | 0.0253431i | −0.627561 | − | 0.778567i | \(-0.715947\pi\) |
0.657764 | + | 0.753224i | \(0.271502\pi\) | |||||||
\(798\) | 14.1493 | − | 2.49491i | 0.500881 | − | 0.0883188i | ||||
\(799\) | 15.3737 | − | 2.71080i | 0.543883 | − | 0.0959013i | ||||
\(800\) | −0.539190 | + | 4.97084i | −0.0190632 | + | 0.175746i | ||||
\(801\) | 45.6139 | − | 54.3605i | 1.61169 | − | 1.92073i | ||||
\(802\) | 4.49397 | − | 12.3471i | 0.158688 | − | 0.435991i | ||||
\(803\) | 14.8352 | − | 8.56514i | 0.523525 | − | 0.302257i | ||||
\(804\) | −13.1620 | + | 22.7972i | −0.464186 | + | 0.803994i | ||||
\(805\) | 6.00895 | − | 7.66478i | 0.211788 | − | 0.270148i | ||||
\(806\) | −16.1671 | + | 9.33410i | −0.569463 | + | 0.328780i | ||||
\(807\) | 54.5545 | + | 9.61944i | 1.92041 | + | 0.338620i | ||||
\(808\) | 18.3552 | 0.645734 | ||||||||
\(809\) | −19.1609 | − | 3.37858i | −0.673660 | − | 0.118784i | −0.173654 | − | 0.984807i | \(-0.555558\pi\) |
−0.500006 | + | 0.866022i | \(0.666669\pi\) | |||||||
\(810\) | −7.41492 | + | 13.8896i | −0.260534 | + | 0.488031i | ||||
\(811\) | 13.0779 | − | 4.75997i | 0.459228 | − | 0.167145i | −0.102039 | − | 0.994780i | \(-0.532537\pi\) |
0.561266 | + | 0.827635i | \(0.310314\pi\) | |||||||
\(812\) | −6.93662 | − | 2.52472i | −0.243428 | − | 0.0886004i | ||||
\(813\) | 65.2384i | 2.28801i | ||||||||
\(814\) | −4.94994 | + | 12.2972i | −0.173495 | + | 0.431017i | ||||
\(815\) | −2.98000 | − | 14.1354i | −0.104385 | − | 0.495143i | ||||
\(816\) | −1.25556 | + | 3.44962i | −0.0439534 | + | 0.120761i | ||||
\(817\) | −4.37966 | − | 12.0330i | −0.153225 | − | 0.420982i | ||||
\(818\) | 8.71685 | − | 10.3883i | 0.304778 | − | 0.363220i | ||||
\(819\) | 28.7903 | + | 5.07651i | 1.00602 | + | 0.177388i | ||||
\(820\) | 3.10031 | + | 14.7061i | 0.108267 | + | 0.513559i | ||||
\(821\) | −2.96002 | + | 16.7871i | −0.103305 | + | 0.585874i | 0.888578 | + | 0.458725i | \(0.151694\pi\) |
−0.991884 | + | 0.127149i | \(0.959417\pi\) | |||||||
\(822\) | −12.8336 | − | 22.2285i | −0.447624 | − | 0.775307i | ||||
\(823\) | −6.62471 | − | 7.89502i | −0.230923 | − | 0.275203i | 0.638123 | − | 0.769934i | \(-0.279711\pi\) |
−0.869046 | + | 0.494731i | \(0.835267\pi\) | |||||||
\(824\) | 3.84868 | − | 6.66610i | 0.134075 | − | 0.232225i | ||||
\(825\) | 19.0614 | − | 26.0529i | 0.663631 | − | 0.907046i | ||||
\(826\) | 5.41841 | + | 1.97214i | 0.188531 | + | 0.0686196i | ||||
\(827\) | 28.7668 | + | 24.1382i | 1.00032 | + | 0.839369i | 0.987029 | − | 0.160543i | \(-0.0513245\pi\) |
0.0132919 | + | 0.999912i | \(0.495769\pi\) | |||||||
\(828\) | −12.0986 | + | 20.9554i | −0.420455 | + | 0.728249i | ||||
\(829\) | 35.3243 | − | 6.22863i | 1.22686 | − | 0.216329i | 0.477586 | − | 0.878585i | \(-0.341512\pi\) |
0.749278 | + | 0.662256i | \(0.230401\pi\) | |||||||
\(830\) | 2.62329 | + | 6.52411i | 0.0910557 | + | 0.226455i | ||||
\(831\) | −1.29038 | − | 1.53781i | −0.0447627 | − | 0.0533461i | ||||
\(832\) | −4.57316 | + | 1.66450i | −0.158546 | + | 0.0577060i | ||||
\(833\) | −6.89173 | + | 2.50838i | −0.238784 | + | 0.0869104i | ||||
\(834\) | −21.5754 | − | 25.7126i | −0.747095 | − | 0.890354i | ||||
\(835\) | −30.0055 | + | 12.0649i | −1.03838 | + | 0.417525i | ||||
\(836\) | 10.0094 | − | 1.76492i | 0.346181 | − | 0.0610410i | ||||
\(837\) | 15.7783 | − | 27.3289i | 0.545379 | − | 0.944624i | ||||
\(838\) | 13.7723 | + | 11.5564i | 0.475757 | + | 0.399208i | ||||
\(839\) | −38.0230 | − | 13.8393i | −1.31270 | − | 0.477784i | −0.411589 | − | 0.911370i | \(-0.635026\pi\) |
−0.901112 | + | 0.433585i | \(0.857248\pi\) | |||||||
\(840\) | −5.12685 | + | 4.60081i | −0.176893 | + | 0.158743i | ||||
\(841\) | 10.6969 | − | 18.5275i | 0.368857 | − | 0.638880i | ||||
\(842\) | −5.47319 | − | 6.52269i | −0.188618 | − | 0.224787i | ||||
\(843\) | −36.0586 | − | 62.4553i | −1.24192 | − | 2.15107i | ||||
\(844\) | −1.46123 | + | 8.28705i | −0.0502977 | + | 0.285252i | ||||
\(845\) | −4.92832 | − | 23.3772i | −0.169539 | − | 0.804199i | ||||
\(846\) | −71.6726 | − | 12.6378i | −2.46415 | − | 0.434497i | ||||
\(847\) | −4.17804 | + | 4.97919i | −0.143559 | + | 0.171087i | ||||
\(848\) | 3.35767 | + | 9.22513i | 0.115303 | + | 0.316792i | ||||
\(849\) | −13.2105 | + | 36.2955i | −0.453382 | + | 1.24566i | ||||
\(850\) | 5.66836 | − | 2.50114i | 0.194423 | − | 0.0857885i | ||||
\(851\) | −22.4808 | + | 11.9905i | −0.770632 | + | 0.411029i | ||||
\(852\) | 21.9089i | 0.750587i | ||||||||
\(853\) | 23.4858 | + | 8.54812i | 0.804138 | + | 0.292682i | 0.711200 | − | 0.702990i | \(-0.248152\pi\) |
0.0929377 | + | 0.995672i | \(0.470374\pi\) | |||||||
\(854\) | −2.72428 | + | 0.991556i | −0.0932229 | + | 0.0339304i | ||||
\(855\) | 53.1455 | + | 28.3715i | 1.81754 | + | 0.970285i | ||||
\(856\) | 6.11069 | + | 1.07748i | 0.208859 | + | 0.0368275i | ||||
\(857\) | −39.7960 | −1.35941 | −0.679703 | − | 0.733487i | \(-0.737891\pi\) | ||||
−0.679703 | + | 0.733487i | \(0.737891\pi\) | |||||||
\(858\) | 30.9432 | + | 5.45612i | 1.05638 | + | 0.186269i | ||||
\(859\) | −47.3299 | + | 27.3260i | −1.61488 | + | 0.932350i | −0.626659 | + | 0.779293i | \(0.715578\pi\) |
−0.988217 | + | 0.153056i | \(0.951088\pi\) | |||||||
\(860\) | 4.83169 | + | 3.78789i | 0.164759 | + | 0.129166i | ||||
\(861\) | −10.3530 | + | 17.9320i | −0.352831 | + | 0.611120i | ||||
\(862\) | −23.6983 | + | 13.6822i | −0.807169 | + | 0.466019i | ||||
\(863\) | −13.4552 | + | 36.9677i | −0.458019 | + | 1.25840i | 0.468939 | + | 0.883231i | \(0.344637\pi\) |
−0.926958 | + | 0.375166i | \(0.877586\pi\) | |||||||
\(864\) | 5.28795 | − | 6.30193i | 0.179900 | − | 0.214396i | ||||
\(865\) | −9.68176 | + | 29.6295i | −0.329190 | + | 1.00743i | ||||
\(866\) | 36.6263 | − | 6.45820i | 1.24461 | − | 0.219458i | ||||
\(867\) | −45.1189 | + | 7.95567i | −1.53232 | + | 0.270189i | ||||
\(868\) | 3.05562 | − | 2.56397i | 0.103714 | − | 0.0870268i | ||||
\(869\) | 11.8643 | + | 32.5968i | 0.402467 | + | 1.10577i | ||||
\(870\) | −24.8538 | − | 39.9221i | −0.842624 | − | 1.35349i | ||||
\(871\) | 27.7958 | + | 33.1258i | 0.941826 | + | 1.12242i | ||||
\(872\) | 10.4781 | − | 1.84757i | 0.354833 | − | 0.0625666i | ||||
\(873\) | 10.3324 | + | 58.5980i | 0.349699 | + | 1.98324i | ||||
\(874\) | 16.9179 | + | 9.76756i | 0.572257 | + | 0.330393i | ||||
\(875\) | 11.5934 | + | 0.868878i | 0.391930 | + | 0.0293734i | ||||
\(876\) | −21.8829 | − | 7.96474i | −0.739356 | − | 0.269104i | ||||
\(877\) | 19.3974 | − | 11.1991i | 0.655002 | − | 0.378166i | −0.135368 | − | 0.990795i | \(-0.543222\pi\) |
0.790370 | + | 0.612630i | \(0.209888\pi\) | |||||||
\(878\) | 23.3863 | + | 13.5021i | 0.789251 | + | 0.455674i | ||||
\(879\) | 36.9209 | − | 30.9803i | 1.24531 | − | 1.04494i | ||||
\(880\) | −3.62678 | + | 3.25466i | −0.122259 | + | 0.109714i | ||||
\(881\) | −4.51092 | + | 25.5827i | −0.151977 | + | 0.861903i | 0.809521 | + | 0.587091i | \(0.199727\pi\) |
−0.961498 | + | 0.274812i | \(0.911384\pi\) | |||||||
\(882\) | 34.1913 | 1.15128 | ||||||||
\(883\) | 2.07977 | − | 11.7950i | 0.0699898 | − | 0.396932i | −0.929607 | − | 0.368551i | \(-0.879854\pi\) |
0.999597 | − | 0.0283805i | \(-0.00903501\pi\) | |||||||
\(884\) | 4.61957 | + | 3.87628i | 0.155373 | + | 0.130373i | ||||
\(885\) | 19.4141 | + | 31.1844i | 0.652598 | + | 1.04825i | ||||
\(886\) | 13.2991 | − | 36.5390i | 0.446792 | − | 1.22755i | ||||
\(887\) | − | 41.4594i | − | 1.39207i | −0.718008 | − | 0.696035i | \(-0.754946\pi\) | ||
0.718008 | − | 0.696035i | \(-0.245054\pi\) | |||||||
\(888\) | 17.1314 | − | 5.59079i | 0.574893 | − | 0.187615i | ||||
\(889\) | 8.28321 | 0.277810 | ||||||||
\(890\) | 27.1941 | + | 3.86804i | 0.911549 | + | 0.129657i | ||||
\(891\) | −14.4196 | + | 5.24832i | −0.483076 | + | 0.175825i | ||||
\(892\) | −14.8879 | + | 17.7427i | −0.498485 | + | 0.594071i | ||||
\(893\) | −10.2029 | + | 57.8635i | −0.341427 | + | 1.93633i | ||||
\(894\) | − | 19.4026i | − | 0.648921i | ||||||
\(895\) | −0.311719 | − | 9.37371i | −0.0104196 | − | 0.313329i | ||||
\(896\) | 0.900543 | − | 0.519929i | 0.0300850 | − | 0.0173696i | ||||
\(897\) | 38.8188 | + | 46.2624i | 1.29612 | + | 1.54466i | ||||
\(898\) | 4.58639 | + | 2.64795i | 0.153050 | + | 0.0883634i | ||||
\(899\) | 13.6154 | + | 23.5825i | 0.454098 | + | 0.786521i | ||||
\(900\) | −28.8204 | + | 1.91894i | −0.960679 | + | 0.0639648i | ||||
\(901\) | 7.81935 | − | 9.31874i | 0.260500 | − | 0.310452i | ||||
\(902\) | −7.32383 | + | 12.6852i | −0.243857 | + | 0.422372i | ||||
\(903\) | 1.46879 | + | 8.32994i | 0.0488784 | + | 0.277203i | ||||
\(904\) | −1.48279 | − | 8.40930i | −0.0493168 | − | 0.279689i | ||||
\(905\) | 41.8455 | + | 32.8056i | 1.39099 | + | 1.09049i | ||||
\(906\) | 8.73574 | + | 24.0012i | 0.290226 | + | 0.797388i | ||||
\(907\) | 16.6264 | − | 6.05151i | 0.552070 | − | 0.200937i | −0.0508959 | − | 0.998704i | \(-0.516208\pi\) |
0.602966 | + | 0.797767i | \(0.293985\pi\) | |||||||
\(908\) | 4.15905 | − | 3.48986i | 0.138023 | − | 0.115815i | ||||
\(909\) | 18.4128 | + | 104.424i | 0.610714 | + | 3.46353i | ||||
\(910\) | 4.22155 | + | 10.4990i | 0.139943 | + | 0.348038i | ||||
\(911\) | 9.24569 | + | 5.33800i | 0.306323 | + | 0.176856i | 0.645280 | − | 0.763946i | \(-0.276741\pi\) |
−0.338957 | + | 0.940802i | \(0.610074\pi\) | |||||||
\(912\) | −10.5844 | − | 8.88133i | −0.350483 | − | 0.294090i | ||||
\(913\) | −2.34393 | + | 6.43988i | −0.0775726 | + | 0.213129i | ||||
\(914\) | −1.13088 | − | 1.95873i | −0.0374060 | − | 0.0647891i | ||||
\(915\) | −17.5556 | − | 5.73649i | −0.580372 | − | 0.189643i | ||||
\(916\) | 16.6188 | − | 13.9448i | 0.549100 | − | 0.460749i | ||||
\(917\) | 0.774768 | + | 1.34194i | 0.0255851 | + | 0.0443147i | ||||
\(918\) | −10.0389 | − | 1.77013i | −0.331334 | − | 0.0584231i | ||||
\(919\) | − | 17.3974i | − | 0.573886i | −0.957948 | − | 0.286943i | \(-0.907361\pi\) | ||
0.957948 | − | 0.286943i | \(-0.0926391\pi\) | |||||||
\(920\) | −9.36094 | + | 0.311295i | −0.308621 | + | 0.0102631i | ||||
\(921\) | −15.4645 | − | 12.9762i | −0.509572 | − | 0.427582i | ||||
\(922\) | −4.92851 | − | 13.5410i | −0.162312 | − | 0.445948i | ||||
\(923\) | 33.8196 | + | 12.3093i | 1.11319 | + | 0.405166i | ||||
\(924\) | −6.71361 | −0.220862 | ||||||||
\(925\) | −26.8247 | − | 14.3331i | −0.881989 | − | 0.471270i | ||||
\(926\) | −25.8603 | −0.849821 | ||||||||
\(927\) | 41.7847 | + | 15.2084i | 1.37239 | + | 0.499509i | ||||
\(928\) | 2.42795 | + | 6.67074i | 0.0797014 | + | 0.218978i | ||||
\(929\) | −22.4746 | − | 18.8584i | −0.737368 | − | 0.618726i | 0.194761 | − | 0.980851i | \(-0.437607\pi\) |
−0.932129 | + | 0.362125i | \(0.882051\pi\) | |||||||
\(930\) | 25.3972 | − | 0.844574i | 0.832806 | − | 0.0276947i | ||||
\(931\) | − | 27.6037i | − | 0.904675i | ||||||
\(932\) | −10.8117 | − | 1.90639i | −0.354148 | − | 0.0624458i | ||||
\(933\) | 15.8299 | + | 27.4183i | 0.518249 | + | 0.897633i | ||||
\(934\) | 7.99803 | − | 6.71114i | 0.261703 | − | 0.219595i | ||||
\(935\) | 5.73965 | + | 1.87549i | 0.187707 | + | 0.0613351i | ||||
\(936\) | −14.0570 | − | 24.3474i | −0.459466 | − | 0.795818i | ||||
\(937\) | 8.27156 | − | 22.7259i | 0.270220 | − | 0.742424i | −0.728153 | − | 0.685414i | \(-0.759621\pi\) |
0.998374 | − | 0.0570097i | \(-0.0181566\pi\) | |||||||
\(938\) | −7.07798 | − | 5.93913i | −0.231104 | − | 0.193919i | ||||
\(939\) | −27.7034 | − | 15.9946i | −0.904068 | − | 0.521964i | ||||
\(940\) | −10.5094 | − | 26.1369i | −0.342779 | − | 0.852491i | ||||
\(941\) | −0.439588 | − | 2.49303i | −0.0143301 | − | 0.0812703i | 0.976804 | − | 0.214135i | \(-0.0686934\pi\) |
−0.991134 | + | 0.132865i | \(0.957582\pi\) | |||||||
\(942\) | −47.3561 | + | 39.7365i | −1.54294 | + | 1.29468i | ||||
\(943\) | −26.4554 | + | 9.62900i | −0.861508 | + | 0.313563i | ||||
\(944\) | −1.89655 | − | 5.21073i | −0.0617274 | − | 0.169595i | ||||
\(945\) | −15.0538 | − | 11.8017i | −0.489699 | − | 0.383909i | ||||
\(946\) | 1.03904 | + | 5.89267i | 0.0337820 | + | 0.191587i | ||||
\(947\) | −7.06389 | − | 40.0613i | −0.229546 | − | 1.30182i | −0.853802 | − | 0.520598i | \(-0.825709\pi\) |
0.624256 | − | 0.781219i | \(-0.285402\pi\) | |||||||
\(948\) | 23.5784 | − | 40.8390i | 0.765791 | − | 1.32639i | ||||
\(949\) | −24.5895 | + | 29.3046i | −0.798208 | + | 0.951268i | ||||
\(950\) | 1.54922 | + | 23.2676i | 0.0502634 | + | 0.754900i | ||||
\(951\) | −29.1153 | − | 50.4292i | −0.944129 | − | 1.63528i | ||||
\(952\) | −1.11589 | − | 0.644259i | −0.0361662 | − | 0.0208805i | ||||
\(953\) | 17.0251 | + | 20.2897i | 0.551497 | + | 0.657248i | 0.967724 | − | 0.252012i | \(-0.0810924\pi\) |
−0.416227 | + | 0.909261i | \(0.636648\pi\) | |||||||
\(954\) | −49.1143 | + | 28.3561i | −1.59013 | + | 0.918064i | ||||
\(955\) | −1.74486 | − | 52.4697i | −0.0564624 | − | 1.69788i | ||||
\(956\) | − | 23.1823i | − | 0.749769i | ||||||
\(957\) | 7.95868 | − | 45.1359i | 0.257268 | − | 1.45904i | ||||
\(958\) | −25.2272 | + | 30.0646i | −0.815055 | + | 0.971345i | ||||
\(959\) | 8.46583 | − | 3.08131i | 0.273376 | − | 0.0995007i | ||||
\(960\) | 6.55850 | + | 0.932870i | 0.211675 | + | 0.0301083i | ||||
\(961\) | 16.2856 | 0.525342 | ||||||||
\(962\) | 0.994939 | − | 29.5860i | 0.0320781 | − | 0.953891i | ||||
\(963\) | 35.8450i | 1.15509i | ||||||||
\(964\) | −4.51890 | + | 12.4156i | −0.145544 | + | 0.399879i | ||||
\(965\) | 13.3434 | + | 21.4333i | 0.429540 | + | 0.689961i | ||||
\(966\) | −9.88488 | − | 8.29440i | −0.318041 | − | 0.266868i | ||||
\(967\) | −0.649935 | + | 3.68597i | −0.0209005 | + | 0.118533i | −0.993473 | − | 0.114067i | \(-0.963612\pi\) |
0.972573 | + | 0.232600i | \(0.0747232\pi\) | |||||||
\(968\) | 6.25073 | 0.200906 | ||||||||
\(969\) | −2.97302 | + | 16.8608i | −0.0955070 | + | 0.541647i | ||||
\(970\) | −17.1415 | + | 15.3827i | −0.550381 | + | 0.493909i | ||||
\(971\) | 17.8111 | − | 14.9453i | 0.571585 | − | 0.479616i | −0.310587 | − | 0.950545i | \(-0.600526\pi\) |
0.882171 | + | 0.470929i | \(0.156081\pi\) | |||||||
\(972\) | −3.30758 | − | 1.90963i | −0.106091 | − | 0.0612515i | ||||
\(973\) | 10.2030 | − | 5.89069i | 0.327093 | − | 0.188847i | ||||
\(974\) | 8.42144 | + | 3.06515i | 0.269840 | + | 0.0982139i | ||||
\(975\) | −20.1010 | + | 69.2300i | −0.643747 | + | 2.21714i | ||||
\(976\) | 2.41447 | + | 1.39400i | 0.0772854 | + | 0.0446208i | ||||
\(977\) | 3.00197 | + | 17.0250i | 0.0960414 | + | 0.544678i | 0.994423 | + | 0.105463i | \(0.0336324\pi\) |
−0.898382 | + | 0.439215i | \(0.855257\pi\) | |||||||
\(978\) | −18.8490 | + | 3.32358i | −0.602724 | + | 0.106276i | ||||
\(979\) | 17.2076 | + | 20.5072i | 0.549957 | + | 0.655413i | ||||
\(980\) | 6.99459 | + | 11.2352i | 0.223434 | + | 0.358897i | ||||
\(981\) | 21.0219 | + | 57.7572i | 0.671178 | + | 1.84405i | ||||
\(982\) | −30.3537 | + | 25.4697i | −0.968624 | + | 0.812772i | ||||
\(983\) | −13.9086 | + | 2.45246i | −0.443615 | + | 0.0782213i | −0.390994 | − | 0.920393i | \(-0.627869\pi\) |
−0.0526211 | + | 0.998615i | \(0.516758\pi\) | |||||||
\(984\) | 19.6099 | − | 3.45775i | 0.625141 | − | 0.110229i | ||||
\(985\) | 15.5766 | − | 47.6699i | 0.496313 | − | 1.51889i | ||||
\(986\) | 5.65421 | − | 6.73843i | 0.180067 | − | 0.214595i | ||||
\(987\) | 13.2741 | − | 36.4704i | 0.422520 | − | 1.16086i | ||||
\(988\) | −19.6564 | + | 11.3486i | −0.625352 | + | 0.361047i | ||||
\(989\) | −5.75032 | + | 9.95984i | −0.182849 | + | 0.316705i | ||||
\(990\) | −22.1541 | − | 17.3682i | −0.704105 | − | 0.551997i | ||||
\(991\) | −19.1508 | + | 11.0567i | −0.608346 | + | 0.351229i | −0.772318 | − | 0.635236i | \(-0.780903\pi\) |
0.163972 | + | 0.986465i | \(0.447569\pi\) | |||||||
\(992\) | −3.77766 | − | 0.666103i | −0.119941 | − | 0.0211488i | ||||
\(993\) | 16.4862 | 0.523175 | ||||||||
\(994\) | −7.57316 | − | 1.33535i | −0.240206 | − | 0.0423548i | ||||
\(995\) | −7.45081 | − | 3.97758i | −0.236207 | − | 0.126098i | ||||
\(996\) | 8.75455 | − | 3.18639i | 0.277398 | − | 0.100965i | ||||
\(997\) | −32.5651 | − | 11.8527i | −1.03135 | − | 0.375379i | −0.229753 | − | 0.973249i | \(-0.573792\pi\) |
−0.801593 | + | 0.597870i | \(0.796014\pi\) | |||||||
\(998\) | − | 5.39254i | − | 0.170698i | ||||||
\(999\) | 23.5495 | + | 44.1527i | 0.745074 | + | 1.39693i |
(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 | 370.2.v.b.169.10 | yes | 60 | |
5.4 | even | 2 | 370.2.v.a.169.1 | ✓ | 60 | ||
37.30 | even | 18 | 370.2.v.a.289.1 | yes | 60 | ||
185.104 | even | 18 | inner | 370.2.v.b.289.10 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.v.a.169.1 | ✓ | 60 | 5.4 | even | 2 | ||
370.2.v.a.289.1 | yes | 60 | 37.30 | even | 18 | ||
370.2.v.b.169.10 | yes | 60 | 1.1 | even | 1 | trivial | |
370.2.v.b.289.10 | yes | 60 | 185.104 | even | 18 | inner |