Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(11,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.r (of order \(15\), degree \(8\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.8 | ||
Character | \(\chi\) | \(=\) | 950.11 |
Dual form | 950.2.r.b.691.8 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.104528 | − | 0.994522i | −0.0739128 | − | 0.703233i | ||||
\(3\) | −1.00310 | − | 1.11405i | −0.579139 | − | 0.643199i | 0.380384 | − | 0.924828i | \(-0.375792\pi\) |
−0.959523 | + | 0.281630i | \(0.909125\pi\) | |||||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | 2.10151 | + | 0.763969i | 0.939825 | + | 0.341658i | ||||
\(6\) | −1.00310 | + | 1.11405i | −0.409513 | + | 0.454810i | ||||
\(7\) | −3.65812 | −1.38264 | −0.691320 | − | 0.722549i | \(-0.742970\pi\) | ||||
−0.691320 | + | 0.722549i | \(0.742970\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0.0786767 | − | 0.748558i | 0.0262256 | − | 0.249519i | ||||
\(10\) | 0.540117 | − | 2.16986i | 0.170800 | − | 0.686169i | ||||
\(11\) | −0.0737076 | + | 0.0535517i | −0.0222237 | + | 0.0161464i | −0.598842 | − | 0.800867i | \(-0.704372\pi\) |
0.576618 | + | 0.817014i | \(0.304372\pi\) | |||||||
\(12\) | 1.21280 | + | 0.881152i | 0.350106 | + | 0.254367i | ||||
\(13\) | 0.453249 | − | 4.31238i | 0.125709 | − | 1.19604i | −0.731782 | − | 0.681539i | \(-0.761311\pi\) |
0.857490 | − | 0.514500i | \(-0.172022\pi\) | |||||||
\(14\) | 0.382378 | + | 3.63808i | 0.102195 | + | 0.972318i | ||||
\(15\) | −1.25692 | − | 3.10753i | −0.324535 | − | 0.802361i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | 2.65247 | + | 0.563800i | 0.643319 | + | 0.136742i | 0.518008 | − | 0.855376i | \(-0.326674\pi\) |
0.125311 | + | 0.992117i | \(0.460007\pi\) | |||||||
\(18\) | −0.752682 | −0.177409 | ||||||||
\(19\) | −3.99083 | + | 1.75309i | −0.915558 | + | 0.402186i | ||||
\(20\) | −2.21443 | − | 0.310346i | −0.495161 | − | 0.0693955i | ||||
\(21\) | 3.66945 | + | 4.07534i | 0.800740 | + | 0.889312i | ||||
\(22\) | 0.0609629 | + | 0.0677061i | 0.0129973 | + | 0.0144350i | ||||
\(23\) | −6.40407 | − | 2.85127i | −1.33534 | − | 0.594532i | −0.390060 | − | 0.920790i | \(-0.627546\pi\) |
−0.945281 | + | 0.326258i | \(0.894212\pi\) | |||||||
\(24\) | 0.749553 | − | 1.29826i | 0.153002 | − | 0.265007i | ||||
\(25\) | 3.83270 | + | 3.21098i | 0.766540 | + | 0.642196i | ||||
\(26\) | −4.33613 | −0.850386 | ||||||||
\(27\) | −4.55126 | + | 3.30668i | −0.875890 | + | 0.636372i | ||||
\(28\) | 3.57818 | − | 0.760566i | 0.676213 | − | 0.143733i | ||||
\(29\) | −2.94825 | + | 0.626670i | −0.547476 | + | 0.116370i | −0.473342 | − | 0.880879i | \(-0.656953\pi\) |
−0.0741340 | + | 0.997248i | \(0.523619\pi\) | |||||||
\(30\) | −2.95912 | + | 1.57486i | −0.540260 | + | 0.287529i | ||||
\(31\) | 0.909540 | + | 2.79928i | 0.163358 | + | 0.502765i | 0.998912 | − | 0.0466444i | \(-0.0148528\pi\) |
−0.835553 | + | 0.549409i | \(0.814853\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 0.133595 | + | 0.0283966i | 0.0232560 | + | 0.00494321i | ||||
\(34\) | 0.283453 | − | 2.69688i | 0.0486118 | − | 0.462510i | ||||
\(35\) | −7.68758 | − | 2.79469i | −1.29944 | − | 0.472389i | ||||
\(36\) | 0.0786767 | + | 0.748558i | 0.0131128 | + | 0.124760i | ||||
\(37\) | −2.48733 | − | 1.80715i | −0.408915 | − | 0.297094i | 0.364247 | − | 0.931302i | \(-0.381326\pi\) |
−0.773162 | + | 0.634208i | \(0.781326\pi\) | |||||||
\(38\) | 2.16064 | + | 3.78572i | 0.350502 | + | 0.614124i | ||||
\(39\) | −5.25887 | + | 3.82079i | −0.842094 | + | 0.611817i | ||||
\(40\) | −0.0771753 | + | 2.23474i | −0.0122025 | + | 0.353343i | ||||
\(41\) | −8.48822 | + | 3.77920i | −1.32564 | + | 0.590212i | −0.942724 | − | 0.333573i | \(-0.891746\pi\) |
−0.382913 | + | 0.923784i | \(0.625079\pi\) | |||||||
\(42\) | 3.66945 | − | 4.07534i | 0.566209 | − | 0.628839i | ||||
\(43\) | 0.163007 | − | 0.282336i | 0.0248583 | − | 0.0430558i | −0.853329 | − | 0.521373i | \(-0.825420\pi\) |
0.878187 | + | 0.478318i | \(0.158753\pi\) | |||||||
\(44\) | 0.0609629 | − | 0.0677061i | 0.00919050 | − | 0.0102071i | ||||
\(45\) | 0.737216 | − | 1.51300i | 0.109898 | − | 0.225544i | ||||
\(46\) | −2.16625 | + | 6.66703i | −0.319396 | + | 0.982999i | ||||
\(47\) | −0.0345631 | + | 0.00734662i | −0.00504155 | + | 0.00107161i | −0.210432 | − | 0.977609i | \(-0.567487\pi\) |
0.205390 | + | 0.978680i | \(0.434154\pi\) | |||||||
\(48\) | −1.36950 | − | 0.609741i | −0.197670 | − | 0.0880086i | ||||
\(49\) | 6.38185 | 0.911693 | ||||||||
\(50\) | 2.79276 | − | 4.14734i | 0.394957 | − | 0.586523i | ||||
\(51\) | −2.03259 | − | 3.52054i | −0.284619 | − | 0.492974i | ||||
\(52\) | 0.453249 | + | 4.31238i | 0.0628544 | + | 0.598020i | ||||
\(53\) | −11.5222 | + | 2.44912i | −1.58270 | + | 0.336412i | −0.913552 | − | 0.406721i | \(-0.866672\pi\) |
−0.669143 | + | 0.743134i | \(0.733339\pi\) | |||||||
\(54\) | 3.76431 | + | 4.18069i | 0.512257 | + | 0.568919i | ||||
\(55\) | −0.195809 | + | 0.0562292i | −0.0264029 | + | 0.00758194i | ||||
\(56\) | −1.13042 | − | 3.47908i | −0.151059 | − | 0.464912i | ||||
\(57\) | 5.95622 | + | 2.68747i | 0.788920 | + | 0.355964i | ||||
\(58\) | 0.931413 | + | 2.86659i | 0.122300 | + | 0.376402i | ||||
\(59\) | −4.08316 | + | 1.81794i | −0.531582 | + | 0.236676i | −0.654932 | − | 0.755688i | \(-0.727303\pi\) |
0.123350 | + | 0.992363i | \(0.460636\pi\) | |||||||
\(60\) | 1.87554 | + | 2.77830i | 0.242132 | + | 0.358676i | ||||
\(61\) | 4.78244 | + | 2.12928i | 0.612329 | + | 0.272626i | 0.689379 | − | 0.724401i | \(-0.257884\pi\) |
−0.0770503 | + | 0.997027i | \(0.524550\pi\) | |||||||
\(62\) | 2.68887 | − | 1.19716i | 0.341487 | − | 0.152040i | ||||
\(63\) | −0.287809 | + | 2.73832i | −0.0362605 | + | 0.344996i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 4.24704 | − | 8.71625i | 0.526780 | − | 1.08112i | ||||
\(66\) | 0.0142765 | − | 0.135832i | 0.00175731 | − | 0.0167197i | ||||
\(67\) | 3.80591 | − | 4.22689i | 0.464966 | − | 0.516397i | −0.464366 | − | 0.885644i | \(-0.653718\pi\) |
0.929331 | + | 0.369247i | \(0.120384\pi\) | |||||||
\(68\) | −2.71173 | −0.328846 | ||||||||
\(69\) | 3.24743 | + | 9.99458i | 0.390945 | + | 1.20321i | ||||
\(70\) | −1.97581 | + | 7.93760i | −0.236155 | + | 0.948724i | ||||
\(71\) | 5.92571 | + | 6.58117i | 0.703252 | + | 0.781041i | 0.983890 | − | 0.178773i | \(-0.0572127\pi\) |
−0.280638 | + | 0.959814i | \(0.590546\pi\) | |||||||
\(72\) | 0.736234 | − | 0.156491i | 0.0867660 | − | 0.0184427i | ||||
\(73\) | −0.842156 | − | 8.01258i | −0.0985669 | − | 0.937802i | −0.926327 | − | 0.376720i | \(-0.877052\pi\) |
0.827760 | − | 0.561082i | \(-0.189615\pi\) | |||||||
\(74\) | −1.53726 | + | 2.66261i | −0.178702 | + | 0.309522i | ||||
\(75\) | −0.267371 | − | 7.49076i | −0.0308734 | − | 0.864958i | ||||
\(76\) | 3.53913 | − | 2.54452i | 0.405966 | − | 0.291876i | ||||
\(77\) | 0.269631 | − | 0.195899i | 0.0307273 | − | 0.0223247i | ||||
\(78\) | 4.34957 | + | 4.83068i | 0.492491 | + | 0.546967i | ||||
\(79\) | −2.33181 | − | 2.58974i | −0.262350 | − | 0.291369i | 0.597550 | − | 0.801831i | \(-0.296141\pi\) |
−0.859900 | + | 0.510463i | \(0.829474\pi\) | |||||||
\(80\) | 2.23056 | − | 0.156841i | 0.249384 | − | 0.0175354i | ||||
\(81\) | 6.04048 | + | 1.28394i | 0.671164 | + | 0.142660i | ||||
\(82\) | 4.64576 | + | 8.04669i | 0.513038 | + | 0.888608i | ||||
\(83\) | 0.978915 | + | 3.01279i | 0.107450 | + | 0.330697i | 0.990298 | − | 0.138963i | \(-0.0443768\pi\) |
−0.882848 | + | 0.469659i | \(0.844377\pi\) | |||||||
\(84\) | −4.43658 | − | 3.22336i | −0.484070 | − | 0.351698i | ||||
\(85\) | 5.14348 | + | 3.21124i | 0.557888 | + | 0.348308i | ||||
\(86\) | −0.297828 | − | 0.132601i | −0.0321156 | − | 0.0142988i | ||||
\(87\) | 3.65552 | + | 2.65589i | 0.391913 | + | 0.284742i | ||||
\(88\) | −0.0737076 | − | 0.0535517i | −0.00785725 | − | 0.00570863i | ||||
\(89\) | −5.55351 | − | 2.47258i | −0.588671 | − | 0.262093i | 0.0907116 | − | 0.995877i | \(-0.471086\pi\) |
−0.679383 | + | 0.733784i | \(0.737753\pi\) | |||||||
\(90\) | −1.58177 | − | 0.575026i | −0.166733 | − | 0.0606130i | ||||
\(91\) | −1.65804 | + | 15.7752i | −0.173810 | + | 1.65369i | ||||
\(92\) | 6.85694 | + | 1.45749i | 0.714885 | + | 0.151954i | ||||
\(93\) | 2.20618 | − | 3.82122i | 0.228771 | − | 0.396242i | ||||
\(94\) | 0.0109192 | + | 0.0336059i | 0.00112623 | + | 0.00346618i | ||||
\(95\) | −9.72607 | + | 0.635265i | −0.997874 | + | 0.0651768i | ||||
\(96\) | −0.463249 | + | 1.42573i | −0.0472802 | + | 0.145513i | ||||
\(97\) | −5.87761 | − | 6.52774i | −0.596781 | − | 0.662792i | 0.366772 | − | 0.930311i | \(-0.380463\pi\) |
−0.963553 | + | 0.267519i | \(0.913796\pi\) | |||||||
\(98\) | −0.667085 | − | 6.34689i | −0.0673858 | − | 0.641133i | ||||
\(99\) | 0.0342875 | + | 0.0593877i | 0.00344602 | + | 0.00596869i | ||||
\(100\) | −4.41655 | − | 2.34395i | −0.441655 | − | 0.234395i | ||||
\(101\) | 3.01309 | + | 5.21882i | 0.299814 | + | 0.519292i | 0.976093 | − | 0.217353i | \(-0.0697422\pi\) |
−0.676280 | + | 0.736645i | \(0.736409\pi\) | |||||||
\(102\) | −3.28879 | + | 2.38945i | −0.325639 | + | 0.236591i | ||||
\(103\) | −0.835994 | + | 2.57292i | −0.0823729 | + | 0.253518i | −0.983758 | − | 0.179501i | \(-0.942552\pi\) |
0.901385 | + | 0.433019i | \(0.142552\pi\) | |||||||
\(104\) | 4.24138 | − | 0.901533i | 0.415901 | − | 0.0884026i | ||||
\(105\) | 4.59796 | + | 11.3677i | 0.448715 | + | 1.10938i | ||||
\(106\) | 3.64010 | + | 11.2031i | 0.353558 | + | 1.08814i | ||||
\(107\) | 13.0611 | 1.26266 | 0.631332 | − | 0.775513i | \(-0.282509\pi\) | ||||
0.631332 | + | 0.775513i | \(0.282509\pi\) | |||||||
\(108\) | 3.76431 | − | 4.18069i | 0.362221 | − | 0.402287i | ||||
\(109\) | 1.73548 | − | 0.772683i | 0.166228 | − | 0.0740096i | −0.321936 | − | 0.946762i | \(-0.604333\pi\) |
0.488164 | + | 0.872752i | \(0.337667\pi\) | |||||||
\(110\) | 0.0763888 | + | 0.188859i | 0.00728338 | + | 0.0180070i | ||||
\(111\) | 0.481774 | + | 4.58377i | 0.0457280 | + | 0.435072i | ||||
\(112\) | −3.34186 | + | 1.48789i | −0.315776 | + | 0.140593i | ||||
\(113\) | −7.35613 | − | 5.34454i | −0.692007 | − | 0.502772i | 0.185312 | − | 0.982680i | \(-0.440670\pi\) |
−0.877319 | + | 0.479907i | \(0.840670\pi\) | |||||||
\(114\) | 2.05016 | − | 6.20451i | 0.192015 | − | 0.581105i | ||||
\(115\) | −11.2799 | − | 10.8845i | −1.05186 | − | 1.01498i | ||||
\(116\) | 2.75353 | − | 1.22595i | 0.255659 | − | 0.113827i | ||||
\(117\) | −3.19241 | − | 0.678567i | −0.295138 | − | 0.0627336i | ||||
\(118\) | 2.23479 | + | 3.87077i | 0.205729 | + | 0.356333i | ||||
\(119\) | −9.70307 | − | 2.06245i | −0.889479 | − | 0.189065i | ||||
\(120\) | 2.56703 | − | 2.15568i | 0.234337 | − | 0.196786i | ||||
\(121\) | −3.39662 | + | 10.4537i | −0.308784 | + | 0.950339i | ||||
\(122\) | 1.61771 | − | 4.97881i | 0.146461 | − | 0.450760i | ||||
\(123\) | 12.7247 | + | 5.66542i | 1.14735 | + | 0.510834i | ||||
\(124\) | −1.47167 | − | 2.54900i | −0.132160 | − | 0.228907i | ||||
\(125\) | 5.60137 | + | 9.67598i | 0.501002 | + | 0.865446i | ||||
\(126\) | 2.75340 | 0.245292 | ||||||||
\(127\) | −13.7846 | − | 6.13732i | −1.22319 | − | 0.544599i | −0.309456 | − | 0.950914i | \(-0.600147\pi\) |
−0.913733 | + | 0.406315i | \(0.866814\pi\) | |||||||
\(128\) | 0.669131 | + | 0.743145i | 0.0591433 | + | 0.0656853i | ||||
\(129\) | −0.478048 | + | 0.101612i | −0.0420898 | + | 0.00894646i | ||||
\(130\) | −9.11244 | − | 3.31267i | −0.799214 | − | 0.290541i | ||||
\(131\) | 10.4495 | + | 2.22110i | 0.912973 | + | 0.194058i | 0.640369 | − | 0.768068i | \(-0.278782\pi\) |
0.272604 | + | 0.962126i | \(0.412115\pi\) | |||||||
\(132\) | −0.136580 | −0.0118878 | ||||||||
\(133\) | 14.5989 | − | 6.41301i | 1.26589 | − | 0.556078i | ||||
\(134\) | −4.60156 | − | 3.34323i | −0.397514 | − | 0.288811i | ||||
\(135\) | −12.0907 | + | 3.47201i | −1.04060 | + | 0.298823i | ||||
\(136\) | 0.283453 | + | 2.69688i | 0.0243059 | + | 0.231255i | ||||
\(137\) | 1.52471 | − | 14.5066i | 0.130264 | − | 1.23938i | −0.712721 | − | 0.701447i | \(-0.752538\pi\) |
0.842986 | − | 0.537936i | \(-0.180796\pi\) | |||||||
\(138\) | 9.60038 | − | 4.27436i | 0.817238 | − | 0.363858i | ||||
\(139\) | −11.6414 | − | 5.18308i | −0.987409 | − | 0.439623i | −0.151480 | − | 0.988460i | \(-0.548404\pi\) |
−0.835929 | + | 0.548838i | \(0.815071\pi\) | |||||||
\(140\) | 8.10064 | + | 1.13528i | 0.684629 | + | 0.0959490i | ||||
\(141\) | 0.0428547 | + | 0.0311358i | 0.00360902 | + | 0.00262210i | ||||
\(142\) | 5.92571 | − | 6.58117i | 0.497274 | − | 0.552279i | ||||
\(143\) | 0.197527 | + | 0.342127i | 0.0165181 | + | 0.0286101i | ||||
\(144\) | −0.232591 | − | 0.715843i | −0.0193826 | − | 0.0596536i | ||||
\(145\) | −6.67454 | − | 0.935419i | −0.554290 | − | 0.0776823i | ||||
\(146\) | −7.88066 | + | 1.67509i | −0.652208 | + | 0.138631i | ||||
\(147\) | −6.40162 | − | 7.10972i | −0.527997 | − | 0.586400i | ||||
\(148\) | 2.80871 | + | 1.25052i | 0.230874 | + | 0.102792i | ||||
\(149\) | 6.92601 | − | 11.9962i | 0.567401 | − | 0.982767i | −0.429421 | − | 0.903104i | \(-0.641282\pi\) |
0.996822 | − | 0.0796625i | \(-0.0253843\pi\) | |||||||
\(150\) | −7.42178 | + | 1.04890i | −0.605985 | + | 0.0856427i | ||||
\(151\) | −8.43658 | −0.686559 | −0.343279 | − | 0.939233i | \(-0.611538\pi\) | ||||
−0.343279 | + | 0.939233i | \(0.611538\pi\) | |||||||
\(152\) | −2.90052 | − | 3.25377i | −0.235263 | − | 0.263915i | ||||
\(153\) | 0.630725 | − | 1.94117i | 0.0509911 | − | 0.156935i | ||||
\(154\) | −0.223010 | − | 0.247677i | −0.0179706 | − | 0.0199584i | ||||
\(155\) | −0.227153 | + | 6.57757i | −0.0182453 | + | 0.528323i | ||||
\(156\) | 4.34957 | − | 4.83068i | 0.348244 | − | 0.386764i | ||||
\(157\) | −4.33940 | + | 7.51606i | −0.346322 | + | 0.599847i | −0.985593 | − | 0.169134i | \(-0.945903\pi\) |
0.639271 | + | 0.768981i | \(0.279236\pi\) | |||||||
\(158\) | −2.33181 | + | 2.58974i | −0.185509 | + | 0.206029i | ||||
\(159\) | 14.2863 | + | 10.3796i | 1.13298 | + | 0.823158i | ||||
\(160\) | −0.389139 | − | 2.20195i | −0.0307641 | − | 0.174079i | ||||
\(161\) | 23.4269 | + | 10.4303i | 1.84629 | + | 0.822023i | ||||
\(162\) | 0.645508 | − | 6.14160i | 0.0507159 | − | 0.482529i | ||||
\(163\) | −11.9214 | − | 8.66139i | −0.933755 | − | 0.678413i | 0.0131543 | − | 0.999913i | \(-0.495813\pi\) |
−0.946909 | + | 0.321501i | \(0.895813\pi\) | |||||||
\(164\) | 7.51699 | − | 5.46141i | 0.586978 | − | 0.426465i | ||||
\(165\) | 0.259058 | + | 0.161738i | 0.0201676 | + | 0.0125913i | ||||
\(166\) | 2.89396 | − | 1.28847i | 0.224615 | − | 0.100005i | ||||
\(167\) | −0.256191 | + | 0.284529i | −0.0198247 | + | 0.0220175i | −0.752976 | − | 0.658048i | \(-0.771382\pi\) |
0.733151 | + | 0.680066i | \(0.238049\pi\) | |||||||
\(168\) | −2.74196 | + | 4.74921i | −0.211546 | + | 0.366409i | ||||
\(169\) | −5.67527 | − | 1.20632i | −0.436560 | − | 0.0927936i | ||||
\(170\) | 2.65601 | − | 5.45097i | 0.203707 | − | 0.418070i | ||||
\(171\) | 0.998304 | + | 3.12529i | 0.0763422 | + | 0.238997i | ||||
\(172\) | −0.100744 | + | 0.310057i | −0.00768163 | + | 0.0236416i | ||||
\(173\) | −2.23755 | − | 21.2889i | −0.170118 | − | 1.61856i | −0.663105 | − | 0.748526i | \(-0.730762\pi\) |
0.492987 | − | 0.870037i | \(-0.335905\pi\) | |||||||
\(174\) | 2.25924 | − | 3.91312i | 0.171272 | − | 0.296653i | ||||
\(175\) | −14.0205 | − | 11.7462i | −1.05985 | − | 0.887926i | ||||
\(176\) | −0.0455538 | + | 0.0789015i | −0.00343375 | + | 0.00594742i | ||||
\(177\) | 6.12109 | + | 2.72528i | 0.460089 | + | 0.204845i | ||||
\(178\) | −1.87854 | + | 5.78155i | −0.140802 | + | 0.433345i | ||||
\(179\) | 6.05629 | − | 18.6393i | 0.452668 | − | 1.39317i | −0.421183 | − | 0.906976i | \(-0.638385\pi\) |
0.873851 | − | 0.486194i | \(-0.161615\pi\) | |||||||
\(180\) | −0.406536 | + | 1.63321i | −0.0303014 | + | 0.121732i | ||||
\(181\) | 16.5988 | − | 18.4348i | 1.23378 | − | 1.37025i | 0.329021 | − | 0.944323i | \(-0.393281\pi\) |
0.904758 | − | 0.425927i | \(-0.140052\pi\) | |||||||
\(182\) | 15.8621 | 1.17578 | ||||||||
\(183\) | −2.42512 | − | 7.46376i | −0.179270 | − | 0.551737i | ||||
\(184\) | 0.732758 | − | 6.97172i | 0.0540196 | − | 0.513962i | ||||
\(185\) | −3.84655 | − | 5.69800i | −0.282804 | − | 0.418925i | ||||
\(186\) | −4.03090 | − | 1.79467i | −0.295560 | − | 0.131592i | ||||
\(187\) | −0.225700 | + | 0.100488i | −0.0165048 | + | 0.00734841i | ||||
\(188\) | 0.0322804 | − | 0.0143722i | 0.00235429 | − | 0.00104820i | ||||
\(189\) | 16.6491 | − | 12.0963i | 1.21104 | − | 0.879873i | ||||
\(190\) | 1.64844 | + | 9.60639i | 0.119590 | + | 0.696921i | ||||
\(191\) | −1.56847 | − | 1.13956i | −0.113490 | − | 0.0824555i | 0.529592 | − | 0.848252i | \(-0.322345\pi\) |
−0.643083 | + | 0.765797i | \(0.722345\pi\) | |||||||
\(192\) | 1.46635 | + | 0.311682i | 0.105824 | + | 0.0224937i | ||||
\(193\) | 4.40250 | − | 7.62535i | 0.316899 | − | 0.548885i | −0.662940 | − | 0.748672i | \(-0.730692\pi\) |
0.979839 | + | 0.199787i | \(0.0640251\pi\) | |||||||
\(194\) | −5.87761 | + | 6.52774i | −0.421988 | + | 0.468665i | ||||
\(195\) | −13.9706 | + | 4.01183i | −1.00045 | + | 0.287293i | ||||
\(196\) | −6.24239 | + | 1.32686i | −0.445885 | + | 0.0947758i | ||||
\(197\) | 0.236592 | − | 0.728155i | 0.0168565 | − | 0.0518789i | −0.942274 | − | 0.334841i | \(-0.891317\pi\) |
0.959131 | + | 0.282963i | \(0.0913172\pi\) | |||||||
\(198\) | 0.0554783 | − | 0.0403074i | 0.00394267 | − | 0.00286452i | ||||
\(199\) | −4.70808 | − | 8.15463i | −0.333747 | − | 0.578066i | 0.649496 | − | 0.760365i | \(-0.274980\pi\) |
−0.983243 | + | 0.182298i | \(0.941646\pi\) | |||||||
\(200\) | −1.86945 | + | 4.63736i | −0.132190 | + | 0.327911i | ||||
\(201\) | −8.52667 | −0.601425 | ||||||||
\(202\) | 4.87528 | − | 3.54210i | 0.343024 | − | 0.249221i | ||||
\(203\) | 10.7851 | − | 2.29243i | 0.756962 | − | 0.160897i | ||||
\(204\) | 2.72013 | + | 3.02101i | 0.190447 | + | 0.211513i | ||||
\(205\) | −20.7253 | + | 1.45729i | −1.44752 | + | 0.101782i | ||||
\(206\) | 2.64621 | + | 0.562470i | 0.184370 | + | 0.0391892i | ||||
\(207\) | −2.63820 | + | 4.56949i | −0.183367 | + | 0.317602i | ||||
\(208\) | −1.33994 | − | 4.12391i | −0.0929081 | − | 0.285942i | ||||
\(209\) | 0.200273 | − | 0.342931i | 0.0138532 | − | 0.0237211i | ||||
\(210\) | 10.8248 | − | 5.76102i | 0.746984 | − | 0.397548i | ||||
\(211\) | 1.29134 | + | 12.2863i | 0.0888998 | + | 0.845825i | 0.944571 | + | 0.328306i | \(0.106478\pi\) |
−0.855672 | + | 0.517519i | \(0.826856\pi\) | |||||||
\(212\) | 10.7612 | − | 4.79120i | 0.739083 | − | 0.329061i | ||||
\(213\) | 1.38770 | − | 13.2031i | 0.0950838 | − | 0.904662i | ||||
\(214\) | −1.36526 | − | 12.9895i | −0.0933270 | − | 0.887947i | ||||
\(215\) | 0.558256 | − | 0.468800i | 0.0380727 | − | 0.0319719i | ||||
\(216\) | −4.55126 | − | 3.30668i | −0.309674 | − | 0.224991i | ||||
\(217\) | −3.32721 | − | 10.2401i | −0.225866 | − | 0.695143i | ||||
\(218\) | −0.949857 | − | 1.64520i | −0.0643324 | − | 0.111427i | ||||
\(219\) | −8.08167 | + | 8.97561i | −0.546109 | + | 0.606515i | ||||
\(220\) | 0.179840 | − | 0.0957114i | 0.0121248 | − | 0.00645286i | ||||
\(221\) | 3.63355 | − | 11.1829i | 0.244419 | − | 0.752245i | ||||
\(222\) | 4.50830 | − | 0.958270i | 0.302578 | − | 0.0643148i | ||||
\(223\) | −1.84684 | − | 17.5715i | −0.123673 | − | 1.17667i | −0.863668 | − | 0.504061i | \(-0.831839\pi\) |
0.739994 | − | 0.672613i | \(-0.234828\pi\) | |||||||
\(224\) | 1.82906 | + | 3.16803i | 0.122209 | + | 0.211673i | ||||
\(225\) | 2.70515 | − | 2.61637i | 0.180343 | − | 0.174425i | ||||
\(226\) | −4.54634 | + | 7.87449i | −0.302418 | + | 0.523803i | ||||
\(227\) | 7.47373 | − | 5.42998i | 0.496049 | − | 0.360401i | −0.311457 | − | 0.950260i | \(-0.600817\pi\) |
0.807506 | + | 0.589860i | \(0.200817\pi\) | |||||||
\(228\) | −6.38482 | − | 1.39038i | −0.422845 | − | 0.0920799i | ||||
\(229\) | −3.94575 | + | 12.1438i | −0.260743 | + | 0.802483i | 0.731901 | + | 0.681411i | \(0.238633\pi\) |
−0.992644 | + | 0.121072i | \(0.961367\pi\) | |||||||
\(230\) | −9.64580 | + | 12.3559i | −0.636025 | + | 0.814723i | ||||
\(231\) | −0.488708 | − | 0.103878i | −0.0321546 | − | 0.00683467i | ||||
\(232\) | −1.50706 | − | 2.61030i | −0.0989432 | − | 0.171375i | ||||
\(233\) | 19.5056 | + | 4.14605i | 1.27786 | + | 0.271617i | 0.796355 | − | 0.604829i | \(-0.206759\pi\) |
0.481500 | + | 0.876446i | \(0.340092\pi\) | |||||||
\(234\) | −0.341153 | + | 3.24585i | −0.0223018 | + | 0.212188i | ||||
\(235\) | −0.0782474 | − | 0.0109662i | −0.00510430 | − | 0.000715354i | ||||
\(236\) | 3.61596 | − | 2.62715i | 0.235379 | − | 0.171013i | ||||
\(237\) | −0.546072 | + | 5.19553i | −0.0354712 | + | 0.337486i | ||||
\(238\) | −1.03691 | + | 9.86550i | −0.0672126 | + | 0.639485i | ||||
\(239\) | 19.2072 | − | 13.9548i | 1.24241 | − | 0.902664i | 0.244654 | − | 0.969611i | \(-0.421326\pi\) |
0.997757 | + | 0.0669468i | \(0.0213258\pi\) | |||||||
\(240\) | −2.41220 | − | 2.32764i | −0.155707 | − | 0.150248i | ||||
\(241\) | −1.19392 | + | 11.3594i | −0.0769073 | + | 0.731724i | 0.886327 | + | 0.463060i | \(0.153249\pi\) |
−0.963234 | + | 0.268664i | \(0.913418\pi\) | |||||||
\(242\) | 10.7515 | + | 2.28530i | 0.691133 | + | 0.146905i | ||||
\(243\) | 3.80969 | + | 6.59858i | 0.244392 | + | 0.423299i | ||||
\(244\) | −5.12063 | − | 1.08842i | −0.327815 | − | 0.0696792i | ||||
\(245\) | 13.4115 | + | 4.87554i | 0.856831 | + | 0.311487i | ||||
\(246\) | 4.30429 | − | 13.2472i | 0.274431 | − | 0.844613i | ||||
\(247\) | 5.75114 | + | 18.0045i | 0.365936 | + | 1.14560i | ||||
\(248\) | −2.38121 | + | 1.73005i | −0.151207 | + | 0.109858i | ||||
\(249\) | 2.37446 | − | 4.11269i | 0.150475 | − | 0.260631i | ||||
\(250\) | 9.03747 | − | 6.58211i | 0.571580 | − | 0.416289i | ||||
\(251\) | −10.1767 | − | 17.6266i | −0.642351 | − | 1.11258i | −0.984907 | − | 0.173086i | \(-0.944626\pi\) |
0.342556 | − | 0.939497i | \(-0.388707\pi\) | |||||||
\(252\) | −0.287809 | − | 2.73832i | −0.0181302 | − | 0.172498i | ||||
\(253\) | 0.624719 | − | 0.132788i | 0.0392757 | − | 0.00834832i | ||||
\(254\) | −4.66281 | + | 14.3507i | −0.292571 | + | 0.900440i | ||||
\(255\) | −1.58192 | − | 8.95129i | −0.0990634 | − | 0.560552i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | 11.4007 | + | 19.7467i | 0.711159 | + | 1.23176i | 0.964422 | + | 0.264366i | \(0.0851628\pi\) |
−0.253263 | + | 0.967397i | \(0.581504\pi\) | |||||||
\(258\) | 0.151025 | + | 0.464808i | 0.00940243 | + | 0.0289377i | ||||
\(259\) | 9.09897 | + | 6.61079i | 0.565382 | + | 0.410774i | ||||
\(260\) | −2.34202 | + | 9.40879i | −0.145246 | + | 0.583508i | ||||
\(261\) | 0.237140 | + | 2.25624i | 0.0146786 | + | 0.139658i | ||||
\(262\) | 1.11667 | − | 10.6244i | 0.0689879 | − | 0.656376i | ||||
\(263\) | −6.58065 | + | 2.92990i | −0.405781 | + | 0.180665i | −0.599469 | − | 0.800398i | \(-0.704622\pi\) |
0.193688 | + | 0.981063i | \(0.437955\pi\) | |||||||
\(264\) | 0.0142765 | + | 0.135832i | 0.000878657 | + | 0.00835986i | ||||
\(265\) | −26.0851 | − | 3.65575i | −1.60239 | − | 0.224571i | ||||
\(266\) | −7.90388 | − | 13.8486i | −0.484618 | − | 0.849112i | ||||
\(267\) | 2.81613 | + | 8.66715i | 0.172344 | + | 0.530421i | ||||
\(268\) | −2.84392 | + | 4.92581i | −0.173720 | + | 0.300892i | ||||
\(269\) | −29.6017 | − | 6.29204i | −1.80485 | − | 0.383632i | −0.822213 | − | 0.569180i | \(-0.807261\pi\) |
−0.982635 | + | 0.185548i | \(0.940594\pi\) | |||||||
\(270\) | 4.71682 | + | 11.6616i | 0.287056 | + | 0.709701i | ||||
\(271\) | −6.80468 | − | 7.55737i | −0.413355 | − | 0.459077i | 0.500130 | − | 0.865951i | \(-0.333286\pi\) |
−0.913485 | + | 0.406873i | \(0.866619\pi\) | |||||||
\(272\) | 2.65247 | − | 0.563800i | 0.160830 | − | 0.0341854i | ||||
\(273\) | 19.2376 | − | 13.9769i | 1.16431 | − | 0.845922i | ||||
\(274\) | −14.5865 | −0.881204 | ||||||||
\(275\) | −0.454453 | − | 0.0314260i | −0.0274045 | − | 0.00189506i | ||||
\(276\) | −5.25446 | − | 9.10099i | −0.316281 | − | 0.547815i | ||||
\(277\) | −13.2018 | + | 9.59164i | −0.793217 | + | 0.576306i | −0.908916 | − | 0.416978i | \(-0.863089\pi\) |
0.115699 | + | 0.993284i | \(0.463089\pi\) | |||||||
\(278\) | −3.93783 | + | 12.1194i | −0.236175 | + | 0.726872i | ||||
\(279\) | 2.16698 | − | 0.460606i | 0.129734 | − | 0.0275758i | ||||
\(280\) | 0.282317 | − | 8.17493i | 0.0168716 | − | 0.488546i | ||||
\(281\) | −17.0650 | + | 18.9525i | −1.01801 | + | 1.13061i | −0.0266231 | + | 0.999646i | \(0.508475\pi\) |
−0.991387 | + | 0.130969i | \(0.958191\pi\) | |||||||
\(282\) | 0.0264857 | − | 0.0458745i | 0.00157720 | − | 0.00273179i | ||||
\(283\) | 7.94267 | + | 1.68827i | 0.472142 | + | 0.100357i | 0.437837 | − | 0.899054i | \(-0.355745\pi\) |
0.0343055 | + | 0.999411i | \(0.489078\pi\) | |||||||
\(284\) | −7.16452 | − | 5.20533i | −0.425136 | − | 0.308879i | ||||
\(285\) | 10.4639 | + | 10.1981i | 0.619829 | + | 0.604085i | ||||
\(286\) | 0.319606 | − | 0.232207i | 0.0188987 | − | 0.0137307i | ||||
\(287\) | 31.0509 | − | 13.8248i | 1.83288 | − | 0.816050i | ||||
\(288\) | −0.687609 | + | 0.306143i | −0.0405177 | + | 0.0180397i | ||||
\(289\) | −8.81253 | − | 3.92359i | −0.518384 | − | 0.230800i | ||||
\(290\) | −0.232615 | + | 6.73575i | −0.0136596 | + | 0.395537i | ||||
\(291\) | −1.37644 | + | 13.0959i | −0.0806882 | + | 0.767697i | ||||
\(292\) | 2.48966 | + | 7.66239i | 0.145696 | + | 0.448408i | ||||
\(293\) | −11.5787 | −0.676432 | −0.338216 | − | 0.941068i | \(-0.609823\pi\) | ||||
−0.338216 | + | 0.941068i | \(0.609823\pi\) | |||||||
\(294\) | −6.40162 | + | 7.10972i | −0.373350 | + | 0.414647i | ||||
\(295\) | −9.96966 | + | 0.701012i | −0.580456 | + | 0.0408145i | ||||
\(296\) | 0.950077 | − | 2.92404i | 0.0552221 | − | 0.169956i | ||||
\(297\) | 0.158384 | − | 0.487455i | 0.00919036 | − | 0.0282850i | ||||
\(298\) | −12.6544 | − | 5.63412i | −0.733052 | − | 0.326376i | ||||
\(299\) | −15.1984 | + | 26.3244i | −0.878947 | + | 1.52238i | ||||
\(300\) | 1.81894 | + | 7.27148i | 0.105017 | + | 0.419819i | ||||
\(301\) | −0.596298 | + | 1.03282i | −0.0343700 | + | 0.0595306i | ||||
\(302\) | 0.881862 | + | 8.39036i | 0.0507455 | + | 0.482811i | ||||
\(303\) | 2.79162 | − | 8.59173i | 0.160375 | − | 0.493582i | ||||
\(304\) | −2.93276 | + | 3.22474i | −0.168205 | + | 0.184952i | ||||
\(305\) | 8.42365 | + | 8.12834i | 0.482337 | + | 0.465427i | ||||
\(306\) | −1.99647 | − | 0.424362i | −0.114130 | − | 0.0242592i | ||||
\(307\) | 5.54855 | − | 9.61037i | 0.316672 | − | 0.548493i | −0.663119 | − | 0.748514i | \(-0.730768\pi\) |
0.979792 | + | 0.200021i | \(0.0641011\pi\) | |||||||
\(308\) | −0.223010 | + | 0.247677i | −0.0127071 | + | 0.0141127i | ||||
\(309\) | 3.70496 | − | 1.64955i | 0.210768 | − | 0.0938398i | ||||
\(310\) | 6.56528 | − | 0.461635i | 0.372883 | − | 0.0262191i | ||||
\(311\) | 6.24752 | − | 4.53909i | 0.354264 | − | 0.257388i | −0.396391 | − | 0.918082i | \(-0.629738\pi\) |
0.750656 | + | 0.660693i | \(0.229738\pi\) | |||||||
\(312\) | −5.25887 | − | 3.82079i | −0.297725 | − | 0.216310i | ||||
\(313\) | −2.74513 | + | 26.1181i | −0.155164 | + | 1.47628i | 0.588916 | + | 0.808194i | \(0.299555\pi\) |
−0.744080 | + | 0.668090i | \(0.767112\pi\) | |||||||
\(314\) | 7.92848 | + | 3.52999i | 0.447430 | + | 0.199209i | ||||
\(315\) | −2.69682 | + | 5.53473i | −0.151949 | + | 0.311847i | ||||
\(316\) | 2.81930 | + | 2.04834i | 0.158598 | + | 0.115228i | ||||
\(317\) | −18.4286 | + | 20.4670i | −1.03505 | + | 1.14954i | −0.0464628 | + | 0.998920i | \(0.514795\pi\) |
−0.988591 | + | 0.150624i | \(0.951872\pi\) | |||||||
\(318\) | 8.82944 | − | 15.2930i | 0.495130 | − | 0.857591i | ||||
\(319\) | 0.183749 | − | 0.204074i | 0.0102880 | − | 0.0114260i | ||||
\(320\) | −2.14921 | + | 0.617173i | −0.120144 | + | 0.0345010i | ||||
\(321\) | −13.1016 | − | 14.5507i | −0.731257 | − | 0.812144i | ||||
\(322\) | 7.92440 | − | 24.3888i | 0.441609 | − | 1.35913i | ||||
\(323\) | −11.5739 | + | 2.39999i | −0.643992 | + | 0.133539i | ||||
\(324\) | −6.17543 | −0.343079 | ||||||||
\(325\) | 15.5841 | − | 15.0727i | 0.864453 | − | 0.836083i | ||||
\(326\) | −7.36782 | + | 12.7614i | −0.408066 | + | 0.706791i | ||||
\(327\) | −2.60166 | − | 1.15833i | −0.143872 | − | 0.0640560i | ||||
\(328\) | −6.21724 | − | 6.90494i | −0.343289 | − | 0.381262i | ||||
\(329\) | 0.126436 | − | 0.0268748i | 0.00697065 | − | 0.00148166i | ||||
\(330\) | 0.133773 | − | 0.274545i | 0.00736399 | − | 0.0151132i | ||||
\(331\) | −3.00252 | − | 9.24080i | −0.165033 | − | 0.507920i | 0.834006 | − | 0.551756i | \(-0.186042\pi\) |
−0.999039 | + | 0.0438361i | \(0.986042\pi\) | |||||||
\(332\) | −1.58392 | − | 2.74343i | −0.0869288 | − | 0.150565i | ||||
\(333\) | −1.54846 | + | 1.71973i | −0.0848548 | + | 0.0942408i | ||||
\(334\) | 0.309750 | + | 0.225046i | 0.0169488 | + | 0.0123140i | ||||
\(335\) | 11.2274 | − | 5.97526i | 0.613417 | − | 0.326463i | ||||
\(336\) | 5.00980 | + | 2.23051i | 0.273307 | + | 0.121684i | ||||
\(337\) | 27.5516 | − | 12.2668i | 1.50083 | − | 0.668213i | 0.518451 | − | 0.855107i | \(-0.326509\pi\) |
0.982380 | + | 0.186894i | \(0.0598421\pi\) | |||||||
\(338\) | −0.606481 | + | 5.77028i | −0.0329882 | + | 0.313862i | ||||
\(339\) | 1.42482 | + | 13.5562i | 0.0773854 | + | 0.736273i | ||||
\(340\) | −5.69873 | − | 2.07168i | −0.309057 | − | 0.112353i | ||||
\(341\) | −0.216946 | − | 0.157620i | −0.0117483 | − | 0.00853563i | ||||
\(342\) | 3.00382 | − | 1.31952i | 0.162428 | − | 0.0713513i | ||||
\(343\) | 2.26126 | 0.122097 | ||||||||
\(344\) | 0.318889 | + | 0.0677819i | 0.0171933 | + | 0.00365456i | ||||
\(345\) | −0.811029 | + | 23.4847i | −0.0436643 | + | 1.26437i | ||||
\(346\) | −20.9384 | + | 4.45059i | −1.12565 | + | 0.239265i | ||||
\(347\) | 19.7107 | + | 21.8910i | 1.05813 | + | 1.17517i | 0.984045 | + | 0.177917i | \(0.0569360\pi\) |
0.0740819 | + | 0.997252i | \(0.476397\pi\) | |||||||
\(348\) | −4.12783 | − | 1.83783i | −0.221275 | − | 0.0985180i | ||||
\(349\) | 8.79267 | 0.470661 | 0.235330 | − | 0.971915i | \(-0.424383\pi\) | ||||
0.235330 | + | 0.971915i | \(0.424383\pi\) | |||||||
\(350\) | −10.2163 | + | 15.1715i | −0.546083 | + | 0.810950i | ||||
\(351\) | 12.1968 | + | 21.1255i | 0.651018 | + | 1.12760i | ||||
\(352\) | 0.0832309 | + | 0.0370568i | 0.00443622 | + | 0.00197513i | ||||
\(353\) | −1.94874 | + | 5.99762i | −0.103721 | + | 0.319221i | −0.989428 | − | 0.145024i | \(-0.953674\pi\) |
0.885707 | + | 0.464245i | \(0.153674\pi\) | |||||||
\(354\) | 2.07053 | − | 6.37243i | 0.110047 | − | 0.338691i | ||||
\(355\) | 7.42514 | + | 18.3575i | 0.394085 | + | 0.974313i | ||||
\(356\) | 5.94624 | + | 1.26391i | 0.315150 | + | 0.0669872i | ||||
\(357\) | 7.43544 | + | 12.8786i | 0.393525 | + | 0.681606i | ||||
\(358\) | −19.1703 | − | 4.07477i | −1.01318 | − | 0.215358i | ||||
\(359\) | 5.25754 | − | 2.34081i | 0.277482 | − | 0.123543i | −0.263277 | − | 0.964720i | \(-0.584803\pi\) |
0.540760 | + | 0.841177i | \(0.318137\pi\) | |||||||
\(360\) | 1.66676 | + | 0.233592i | 0.0878459 | + | 0.0123114i | ||||
\(361\) | 12.8534 | − | 13.9925i | 0.676493 | − | 0.736449i | ||||
\(362\) | −20.0689 | − | 14.5809i | −1.05480 | − | 0.766355i | ||||
\(363\) | 15.0531 | − | 6.70209i | 0.790085 | − | 0.351769i | ||||
\(364\) | −1.65804 | − | 15.7752i | −0.0869050 | − | 0.826846i | ||||
\(365\) | 4.35157 | − | 17.4819i | 0.227771 | − | 0.915045i | ||||
\(366\) | −7.16938 | + | 3.19201i | −0.374750 | + | 0.166849i | ||||
\(367\) | 23.5287 | − | 26.1313i | 1.22819 | − | 1.36404i | 0.318947 | − | 0.947773i | \(-0.396671\pi\) |
0.909242 | − | 0.416269i | \(-0.136663\pi\) | |||||||
\(368\) | −7.01012 | −0.365428 | ||||||||
\(369\) | 2.16113 | + | 6.65126i | 0.112504 | + | 0.346251i | ||||
\(370\) | −5.26471 | + | 4.42108i | −0.273699 | + | 0.229841i | ||||
\(371\) | 42.1496 | − | 8.95917i | 2.18830 | − | 0.465137i | ||||
\(372\) | −1.36350 | + | 4.19641i | −0.0706940 | + | 0.217574i | ||||
\(373\) | −19.7507 | + | 14.3497i | −1.02265 | + | 0.743000i | −0.966825 | − | 0.255440i | \(-0.917780\pi\) |
−0.0558272 | + | 0.998440i | \(0.517780\pi\) | |||||||
\(374\) | 0.123530 | + | 0.213960i | 0.00638756 | + | 0.0110636i | ||||
\(375\) | 5.16083 | − | 15.9462i | 0.266504 | − | 0.823457i | ||||
\(376\) | −0.0176676 | − | 0.0306013i | −0.000911139 | − | 0.00157814i | ||||
\(377\) | 1.36615 | + | 12.9980i | 0.0703601 | + | 0.669432i | ||||
\(378\) | −13.7703 | − | 15.2935i | −0.708267 | − | 0.786610i | ||||
\(379\) | 7.75805 | − | 23.8768i | 0.398504 | − | 1.22647i | −0.527695 | − | 0.849434i | \(-0.676944\pi\) |
0.926199 | − | 0.377035i | \(-0.123056\pi\) | |||||||
\(380\) | 9.38145 | − | 2.64355i | 0.481258 | − | 0.135611i | ||||
\(381\) | 6.99005 | + | 21.5132i | 0.358111 | + | 1.10215i | ||||
\(382\) | −0.969366 | + | 1.67899i | −0.0495971 | + | 0.0859047i | ||||
\(383\) | −7.97535 | − | 1.69521i | −0.407521 | − | 0.0866213i | −0.000409989 | − | 1.00000i | \(-0.500131\pi\) |
−0.407111 | + | 0.913379i | \(0.633464\pi\) | |||||||
\(384\) | 0.156699 | − | 1.49089i | 0.00799652 | − | 0.0760818i | ||||
\(385\) | 0.716294 | − | 0.205693i | 0.0365057 | − | 0.0104831i | ||||
\(386\) | −8.04377 | − | 3.58132i | −0.409417 | − | 0.182284i | ||||
\(387\) | −0.198520 | − | 0.144233i | −0.0100913 | − | 0.00733178i | ||||
\(388\) | 7.10636 | + | 5.16307i | 0.360771 | + | 0.262115i | ||||
\(389\) | 0.311595 | + | 0.138731i | 0.0157985 | + | 0.00703395i | 0.414621 | − | 0.909994i | \(-0.363914\pi\) |
−0.398822 | + | 0.917028i | \(0.630581\pi\) | |||||||
\(390\) | 5.45017 | + | 13.4747i | 0.275980 | + | 0.682316i | ||||
\(391\) | −15.3791 | − | 11.1735i | −0.777753 | − | 0.565070i | ||||
\(392\) | 1.97210 | + | 6.06950i | 0.0996061 | + | 0.306556i | ||||
\(393\) | −8.00740 | − | 13.8692i | −0.403920 | − | 0.699610i | ||||
\(394\) | −0.748897 | − | 0.159183i | −0.0377289 | − | 0.00801952i | ||||
\(395\) | −2.92185 | − | 7.22381i | −0.147014 | − | 0.363469i | ||||
\(396\) | −0.0458856 | − | 0.0509612i | −0.00230584 | − | 0.00256089i | ||||
\(397\) | 7.81850 | + | 8.68333i | 0.392399 | + | 0.435804i | 0.906681 | − | 0.421818i | \(-0.138608\pi\) |
−0.514281 | + | 0.857622i | \(0.671941\pi\) | |||||||
\(398\) | −7.61783 | + | 5.53468i | −0.381847 | + | 0.277428i | ||||
\(399\) | −21.7886 | − | 9.83110i | −1.09079 | − | 0.492170i | ||||
\(400\) | 4.80737 | + | 1.37448i | 0.240369 | + | 0.0687239i | ||||
\(401\) | −1.24133 | + | 2.15005i | −0.0619890 | + | 0.107368i | −0.895354 | − | 0.445354i | \(-0.853078\pi\) |
0.833365 | + | 0.552722i | \(0.186411\pi\) | |||||||
\(402\) | 0.891280 | + | 8.47996i | 0.0444530 | + | 0.422942i | ||||
\(403\) | 12.4838 | − | 2.65351i | 0.621862 | − | 0.132181i | ||||
\(404\) | −4.03230 | − | 4.47832i | −0.200614 | − | 0.222805i | ||||
\(405\) | 11.7132 | + | 7.31296i | 0.582036 | + | 0.363384i | ||||
\(406\) | −3.40722 | − | 10.4863i | −0.169098 | − | 0.520429i | ||||
\(407\) | 0.280112 | 0.0138846 | ||||||||
\(408\) | 2.72013 | − | 3.02101i | 0.134667 | − | 0.149562i | ||||
\(409\) | 1.15359 | − | 10.9757i | 0.0570416 | − | 0.542714i | −0.928265 | − | 0.371919i | \(-0.878700\pi\) |
0.985307 | − | 0.170795i | \(-0.0546335\pi\) | |||||||
\(410\) | 3.61569 | + | 20.4594i | 0.178566 | + | 1.01042i | ||||
\(411\) | −17.6906 | + | 12.8529i | −0.872611 | + | 0.633989i | ||||
\(412\) | 0.282784 | − | 2.69051i | 0.0139318 | − | 0.132552i | ||||
\(413\) | 14.9367 | − | 6.65024i | 0.734987 | − | 0.327237i | ||||
\(414\) | 4.82022 | + | 2.14610i | 0.236901 | + | 0.105475i | ||||
\(415\) | −0.244479 | + | 7.07927i | −0.0120010 | + | 0.347508i | ||||
\(416\) | −3.96126 | + | 1.76366i | −0.194217 | + | 0.0864708i | ||||
\(417\) | 5.90322 | + | 18.1682i | 0.289082 | + | 0.889703i | ||||
\(418\) | −0.361987 | − | 0.163330i | −0.0177054 | − | 0.00798873i | ||||
\(419\) | −6.76866 | − | 20.8318i | −0.330671 | − | 1.01770i | −0.968815 | − | 0.247784i | \(-0.920298\pi\) |
0.638144 | − | 0.769917i | \(-0.279702\pi\) | |||||||
\(420\) | −6.86097 | − | 10.1633i | −0.334781 | − | 0.495920i | ||||
\(421\) | −7.55280 | − | 8.38823i | −0.368101 | − | 0.408817i | 0.530429 | − | 0.847729i | \(-0.322031\pi\) |
−0.898530 | + | 0.438912i | \(0.855364\pi\) | |||||||
\(422\) | 12.0840 | − | 2.56854i | 0.588242 | − | 0.125035i | ||||
\(423\) | 0.00278006 | + | 0.0264505i | 0.000135171 | + | 0.00128607i | ||||
\(424\) | −5.88980 | − | 10.2014i | −0.286034 | − | 0.495426i | ||||
\(425\) | 8.35578 | + | 10.6779i | 0.405315 | + | 0.517955i | ||||
\(426\) | −13.2758 | −0.643216 | ||||||||
\(427\) | −17.4947 | − | 7.78916i | −0.846630 | − | 0.376944i | ||||
\(428\) | −12.7757 | + | 2.71555i | −0.617536 | + | 0.131261i | ||||
\(429\) | 0.183009 | − | 0.563243i | 0.00883575 | − | 0.0271936i | ||||
\(430\) | −0.524585 | − | 0.506195i | −0.0252977 | − | 0.0244109i | ||||
\(431\) | 25.0683 | − | 27.8412i | 1.20750 | − | 1.34106i | 0.283353 | − | 0.959016i | \(-0.408553\pi\) |
0.924143 | − | 0.382046i | \(-0.124780\pi\) | |||||||
\(432\) | −2.81283 | + | 4.87197i | −0.135333 | + | 0.234403i | ||||
\(433\) | 8.76480 | − | 9.73429i | 0.421209 | − | 0.467800i | −0.494771 | − | 0.869023i | \(-0.664748\pi\) |
0.915980 | + | 0.401223i | \(0.131415\pi\) | |||||||
\(434\) | −9.83621 | + | 4.37936i | −0.472153 | + | 0.210216i | ||||
\(435\) | 5.65311 | + | 8.37410i | 0.271046 | + | 0.401507i | ||||
\(436\) | −1.53690 | + | 1.11662i | −0.0736042 | + | 0.0534766i | ||||
\(437\) | 30.5560 | + | 0.152048i | 1.46169 | + | 0.00727345i | ||||
\(438\) | 9.77120 | + | 7.09919i | 0.466886 | + | 0.339213i | ||||
\(439\) | 1.66486 | + | 15.8401i | 0.0794595 | + | 0.756006i | 0.959614 | + | 0.281319i | \(0.0907721\pi\) |
−0.880155 | + | 0.474687i | \(0.842561\pi\) | |||||||
\(440\) | −0.113985 | − | 0.168850i | −0.00543404 | − | 0.00804960i | ||||
\(441\) | 0.502103 | − | 4.77719i | 0.0239097 | − | 0.227485i | ||||
\(442\) | −11.5015 | − | 2.44471i | −0.547070 | − | 0.116283i | ||||
\(443\) | 7.48916 | + | 12.9716i | 0.355821 | + | 0.616300i | 0.987258 | − | 0.159127i | \(-0.0508680\pi\) |
−0.631437 | + | 0.775427i | \(0.717535\pi\) | |||||||
\(444\) | −1.42427 | − | 4.38344i | −0.0675927 | − | 0.208029i | ||||
\(445\) | −9.78180 | − | 9.43888i | −0.463702 | − | 0.447446i | ||||
\(446\) | −17.2822 | + | 3.67344i | −0.818335 | + | 0.173943i | ||||
\(447\) | −20.3119 | + | 4.31742i | −0.960718 | + | 0.204207i | ||||
\(448\) | 2.95948 | − | 2.15019i | 0.139822 | − | 0.101587i | ||||
\(449\) | 35.0709 | 1.65510 | 0.827549 | − | 0.561393i | \(-0.189734\pi\) | ||||
0.827549 | + | 0.561393i | \(0.189734\pi\) | |||||||
\(450\) | −2.88480 | − | 2.41685i | −0.135991 | − | 0.113931i | ||||
\(451\) | 0.423264 | − | 0.733114i | 0.0199307 | − | 0.0345210i | ||||
\(452\) | 8.30658 | + | 3.69833i | 0.390708 | + | 0.173955i | ||||
\(453\) | 8.46271 | + | 9.39879i | 0.397613 | + | 0.441594i | ||||
\(454\) | −6.18146 | − | 6.86520i | −0.290110 | − | 0.322200i | ||||
\(455\) | −15.5362 | + | 31.8851i | −0.728347 | + | 1.49480i | ||||
\(456\) | −0.715365 | + | 6.49518i | −0.0335000 | + | 0.304164i | ||||
\(457\) | −37.4305 | −1.75092 | −0.875462 | − | 0.483288i | \(-0.839443\pi\) | ||||
−0.875462 | + | 0.483288i | \(0.839443\pi\) | |||||||
\(458\) | 12.4897 | + | 2.65477i | 0.583605 | + | 0.124049i | ||||
\(459\) | −13.9364 | + | 6.20489i | −0.650496 | + | 0.289619i | ||||
\(460\) | 13.2965 | + | 8.30142i | 0.619950 | + | 0.387056i | ||||
\(461\) | −0.0625211 | − | 0.594848i | −0.00291190 | − | 0.0277049i | 0.992969 | − | 0.118371i | \(-0.0377671\pi\) |
−0.995881 | + | 0.0906659i | \(0.971100\pi\) | |||||||
\(462\) | −0.0522251 | + | 0.496889i | −0.00242973 | + | 0.0231174i | ||||
\(463\) | 11.4170 | + | 8.29492i | 0.530592 | + | 0.385498i | 0.820579 | − | 0.571533i | \(-0.193651\pi\) |
−0.289987 | + | 0.957030i | \(0.593651\pi\) | |||||||
\(464\) | −2.43847 | + | 1.77165i | −0.113203 | + | 0.0822469i | ||||
\(465\) | 7.55562 | − | 6.34489i | 0.350383 | − | 0.294237i | ||||
\(466\) | 2.08444 | − | 19.8321i | 0.0965599 | − | 0.918706i | ||||
\(467\) | 12.4822 | + | 38.4164i | 0.577609 | + | 1.77770i | 0.627119 | + | 0.778923i | \(0.284234\pi\) |
−0.0495102 | + | 0.998774i | \(0.515766\pi\) | |||||||
\(468\) | 3.26373 | 0.150866 | ||||||||
\(469\) | −13.9225 | + | 15.4625i | −0.642880 | + | 0.713991i | ||||
\(470\) | −0.00272701 | + | 0.0789650i | −0.000125788 | + | 0.00364238i | ||||
\(471\) | 12.7261 | − | 2.70502i | 0.586389 | − | 0.124641i | ||||
\(472\) | −2.99073 | − | 3.32154i | −0.137659 | − | 0.152886i | ||||
\(473\) | 0.00310473 | + | 0.0295396i | 0.000142756 | + | 0.00135823i | ||||
\(474\) | 5.22415 | 0.239953 | ||||||||
\(475\) | −20.9248 | − | 6.09540i | −0.960094 | − | 0.279676i | ||||
\(476\) | 9.91984 | 0.454675 | ||||||||
\(477\) | 0.926780 | + | 8.81772i | 0.0424344 | + | 0.403736i | ||||
\(478\) | −15.8861 | − | 17.6433i | −0.726613 | − | 0.806986i | ||||
\(479\) | 21.6855 | − | 4.60940i | 0.990837 | − | 0.210609i | 0.316147 | − | 0.948710i | \(-0.397611\pi\) |
0.674690 | + | 0.738101i | \(0.264277\pi\) | |||||||
\(480\) | −2.06274 | + | 2.64229i | −0.0941508 | + | 0.120603i | ||||
\(481\) | −8.92052 | + | 9.90724i | −0.406741 | + | 0.451731i | ||||
\(482\) | 11.4220 | 0.520257 | ||||||||
\(483\) | −11.8795 | − | 36.5614i | −0.540536 | − | 1.66360i | ||||
\(484\) | 1.14895 | − | 10.9315i | 0.0522248 | − | 0.496886i | ||||
\(485\) | −7.36486 | − | 18.2084i | −0.334421 | − | 0.826803i | ||||
\(486\) | 6.16421 | − | 4.47856i | 0.279614 | − | 0.203152i | ||||
\(487\) | −22.0912 | − | 16.0502i | −1.00105 | − | 0.727303i | −0.0387346 | − | 0.999250i | \(-0.512333\pi\) |
−0.962312 | + | 0.271946i | \(0.912333\pi\) | |||||||
\(488\) | −0.547210 | + | 5.20635i | −0.0247710 | + | 0.235681i | ||||
\(489\) | 2.30906 | + | 21.9693i | 0.104419 | + | 0.993485i | ||||
\(490\) | 3.44694 | − | 13.8477i | 0.155717 | − | 0.625575i | ||||
\(491\) | −19.5368 | + | 8.69832i | −0.881681 | + | 0.392550i | −0.797086 | − | 0.603866i | \(-0.793626\pi\) |
−0.0845952 | + | 0.996415i | \(0.526960\pi\) | |||||||
\(492\) | −13.6246 | − | 2.89599i | −0.614244 | − | 0.130561i | ||||
\(493\) | −8.17347 | −0.368114 | ||||||||
\(494\) | 17.3048 | − | 7.60162i | 0.778578 | − | 0.342013i | ||||
\(495\) | 0.0266852 | + | 0.150999i | 0.00119941 | + | 0.00678688i | ||||
\(496\) | 1.96947 | + | 2.18732i | 0.0884320 | + | 0.0982137i | ||||
\(497\) | −21.6770 | − | 24.0747i | −0.972345 | − | 1.07990i | ||||
\(498\) | −4.33835 | − | 1.93156i | −0.194406 | − | 0.0865553i | ||||
\(499\) | −16.1113 | + | 27.9056i | −0.721240 | + | 1.24922i | 0.239263 | + | 0.970955i | \(0.423094\pi\) |
−0.960503 | + | 0.278270i | \(0.910239\pi\) | |||||||
\(500\) | −7.49072 | − | 8.29995i | −0.334995 | − | 0.371185i | ||||
\(501\) | 0.573965 | 0.0256429 | ||||||||
\(502\) | −16.4663 | + | 11.9635i | −0.734928 | + | 0.533956i | ||||
\(503\) | 19.4372 | − | 4.13151i | 0.866664 | − | 0.184215i | 0.246936 | − | 0.969032i | \(-0.420576\pi\) |
0.619728 | + | 0.784817i | \(0.287243\pi\) | |||||||
\(504\) | −2.69323 | + | 0.572464i | −0.119966 | + | 0.0254996i | ||||
\(505\) | 2.34502 | + | 13.2693i | 0.104352 | + | 0.590477i | ||||
\(506\) | −0.197362 | − | 0.607416i | −0.00877379 | − | 0.0270030i | ||||
\(507\) | 4.34895 | + | 7.53261i | 0.193144 | + | 0.334535i | ||||
\(508\) | 14.7594 | + | 3.13722i | 0.654844 | + | 0.139191i | ||||
\(509\) | −2.13600 | + | 20.3227i | −0.0946764 | + | 0.900786i | 0.839352 | + | 0.543588i | \(0.182935\pi\) |
−0.934029 | + | 0.357198i | \(0.883732\pi\) | |||||||
\(510\) | −8.73690 | + | 2.50891i | −0.386876 | + | 0.111097i | ||||
\(511\) | 3.08071 | + | 29.3110i | 0.136283 | + | 1.29664i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 12.3664 | − | 21.1752i | 0.545989 | − | 0.934906i | ||||
\(514\) | 18.4468 | − | 13.4024i | 0.813653 | − | 0.591154i | ||||
\(515\) | −3.72249 | + | 4.76836i | −0.164032 | + | 0.210119i | ||||
\(516\) | 0.446475 | − | 0.198784i | 0.0196550 | − | 0.00875096i | ||||
\(517\) | 0.00215414 | − | 0.00239242i | 9.47390e−5 | − | 0.000105218i | ||||
\(518\) | 5.62347 | − | 9.74014i | 0.247081 | − | 0.427957i | ||||
\(519\) | −21.4724 | + | 23.8476i | −0.942536 | + | 1.04679i | ||||
\(520\) | 9.60205 | + | 1.34570i | 0.421078 | + | 0.0590129i | ||||
\(521\) | 4.39198 | − | 13.5171i | 0.192416 | − | 0.592196i | −0.807581 | − | 0.589757i | \(-0.799224\pi\) |
0.999997 | − | 0.00243940i | \(-0.000776486\pi\) | |||||||
\(522\) | 2.21909 | − | 0.471683i | 0.0971271 | − | 0.0206450i | ||||
\(523\) | −30.7608 | − | 13.6956i | −1.34508 | − | 0.598866i | −0.397266 | − | 0.917704i | \(-0.630041\pi\) |
−0.947809 | + | 0.318838i | \(0.896708\pi\) | |||||||
\(524\) | −10.6829 | −0.466685 | ||||||||
\(525\) | 0.978077 | + | 27.4021i | 0.0426868 | + | 1.19593i | ||||
\(526\) | 3.60171 | + | 6.23835i | 0.157042 | + | 0.272005i | ||||
\(527\) | 0.834297 | + | 7.93780i | 0.0363425 | + | 0.345776i | ||||
\(528\) | 0.133595 | − | 0.0283966i | 0.00581399 | − | 0.00123580i | ||||
\(529\) | 17.4923 | + | 19.4272i | 0.760535 | + | 0.844660i | ||||
\(530\) | −0.909095 | + | 26.3243i | −0.0394886 | + | 1.14345i | ||||
\(531\) | 1.03958 | + | 3.19951i | 0.0451141 | + | 0.138847i | ||||
\(532\) | −12.9466 | + | 9.30815i | −0.561305 | + | 0.403560i | ||||
\(533\) | 12.4501 | + | 38.3174i | 0.539272 | + | 1.65971i | ||||
\(534\) | 8.32531 | − | 3.70667i | 0.360271 | − | 0.160403i | ||||
\(535\) | 27.4480 | + | 9.97828i | 1.18668 | + | 0.431399i | ||||
\(536\) | 5.19610 | + | 2.31345i | 0.224437 | + | 0.0999260i | ||||
\(537\) | −26.8403 | + | 11.9501i | −1.15824 | + | 0.515683i | ||||
\(538\) | −3.16335 | + | 30.0972i | −0.136382 | + | 1.29758i | ||||
\(539\) | −0.470391 | + | 0.341759i | −0.0202612 | + | 0.0147206i | ||||
\(540\) | 11.1046 | − | 5.90994i | 0.477868 | − | 0.254323i | ||||
\(541\) | 1.86136 | − | 17.7097i | 0.0800262 | − | 0.761399i | −0.878759 | − | 0.477266i | \(-0.841628\pi\) |
0.958785 | − | 0.284132i | \(-0.0917055\pi\) | |||||||
\(542\) | −6.80468 | + | 7.55737i | −0.292286 | + | 0.324617i | ||||
\(543\) | −37.1876 | −1.59587 | ||||||||
\(544\) | −0.837971 | − | 2.57901i | −0.0359277 | − | 0.110574i | ||||
\(545\) | 4.23743 | − | 0.297953i | 0.181511 | − | 0.0127629i | ||||
\(546\) | −15.9112 | − | 17.6712i | −0.680938 | − | 0.756259i | ||||
\(547\) | −10.8868 | + | 2.31406i | −0.465485 | + | 0.0989419i | −0.434683 | − | 0.900584i | \(-0.643140\pi\) |
−0.0308023 | + | 0.999525i | \(0.509806\pi\) | |||||||
\(548\) | 1.52471 | + | 14.5066i | 0.0651322 | + | 0.619692i | ||||
\(549\) | 1.97016 | − | 3.41241i | 0.0840842 | − | 0.145638i | ||||
\(550\) | 0.0162494 | + | 0.455248i | 0.000692876 | + | 0.0194118i | ||||
\(551\) | 10.6673 | − | 7.66947i | 0.454444 | − | 0.326730i | ||||
\(552\) | −8.50189 | + | 6.17699i | −0.361865 | + | 0.262910i | ||||
\(553\) | 8.53006 | + | 9.47359i | 0.362735 | + | 0.402858i | ||||
\(554\) | 10.9191 | + | 12.1268i | 0.463906 | + | 0.515220i | ||||
\(555\) | −2.48941 | + | 10.0009i | −0.105670 | + | 0.424515i | ||||
\(556\) | 12.4646 | + | 2.64943i | 0.528617 | + | 0.112361i | ||||
\(557\) | −15.3969 | − | 26.6682i | −0.652387 | − | 1.12997i | −0.982542 | − | 0.186041i | \(-0.940434\pi\) |
0.330154 | − | 0.943927i | \(-0.392899\pi\) | |||||||
\(558\) | −0.684594 | − | 2.10696i | −0.0289812 | − | 0.0891949i | ||||
\(559\) | −1.14366 | − | 0.830915i | −0.0483715 | − | 0.0351440i | ||||
\(560\) | −8.15966 | + | 0.573743i | −0.344809 | + | 0.0242451i | ||||
\(561\) | 0.338348 | + | 0.150642i | 0.0142851 | + | 0.00636012i | ||||
\(562\) | 20.6325 | + | 14.9904i | 0.870329 | + | 0.632331i | ||||
\(563\) | −11.7597 | − | 8.54395i | −0.495614 | − | 0.360085i | 0.311725 | − | 0.950172i | \(-0.399093\pi\) |
−0.807339 | + | 0.590088i | \(0.799093\pi\) | |||||||
\(564\) | −0.0483917 | − | 0.0215454i | −0.00203766 | − | 0.000907224i | ||||
\(565\) | −11.3759 | − | 16.8515i | −0.478589 | − | 0.708947i | ||||
\(566\) | 0.848783 | − | 8.07563i | 0.0356770 | − | 0.339444i | ||||
\(567\) | −22.0968 | − | 4.69682i | −0.927978 | − | 0.197248i | ||||
\(568\) | −4.42792 | + | 7.66938i | −0.185791 | + | 0.321800i | ||||
\(569\) | 11.1438 | + | 34.2972i | 0.467174 | + | 1.43782i | 0.856227 | + | 0.516600i | \(0.172802\pi\) |
−0.389053 | + | 0.921216i | \(0.627198\pi\) | |||||||
\(570\) | 9.04848 | − | 11.4726i | 0.378999 | − | 0.480534i | ||||
\(571\) | −8.06446 | + | 24.8199i | −0.337487 | + | 1.03868i | 0.627997 | + | 0.778216i | \(0.283875\pi\) |
−0.965484 | + | 0.260463i | \(0.916125\pi\) | |||||||
\(572\) | −0.264343 | − | 0.293583i | −0.0110527 | − | 0.0122753i | ||||
\(573\) | 0.303798 | + | 2.89044i | 0.0126913 | + | 0.120750i | ||||
\(574\) | −16.9947 | − | 29.4358i | −0.709347 | − | 1.22862i | ||||
\(575\) | −15.3895 | − | 31.4914i | −0.641786 | − | 1.31328i | ||||
\(576\) | 0.376341 | + | 0.651841i | 0.0156809 | + | 0.0271601i | ||||
\(577\) | −12.3826 | + | 8.99649i | −0.515495 | + | 0.374529i | −0.814904 | − | 0.579596i | \(-0.803210\pi\) |
0.299409 | + | 0.954125i | \(0.403210\pi\) | |||||||
\(578\) | −2.98094 | + | 9.17438i | −0.123991 | + | 0.381604i | ||||
\(579\) | −12.9112 | + | 2.74436i | −0.536570 | + | 0.114052i | ||||
\(580\) | 6.72317 | − | 0.472737i | 0.279164 | − | 0.0196293i | ||||
\(581\) | −3.58099 | − | 11.0212i | −0.148564 | − | 0.457234i | ||||
\(582\) | 13.1681 | 0.545834 | ||||||||
\(583\) | 0.718119 | − | 0.797552i | 0.0297414 | − | 0.0330312i | ||||
\(584\) | 7.36018 | − | 3.27696i | 0.304566 | − | 0.135602i | ||||
\(585\) | −6.19048 | − | 3.86492i | −0.255945 | − | 0.159795i | ||||
\(586\) | 1.21030 | + | 11.5152i | 0.0499970 | + | 0.475690i | ||||
\(587\) | −27.5269 | + | 12.2558i | −1.13616 | + | 0.505850i | −0.886613 | − | 0.462513i | \(-0.846948\pi\) |
−0.249546 | + | 0.968363i | \(0.580281\pi\) | |||||||
\(588\) | 7.73992 | + | 5.62338i | 0.319189 | + | 0.231904i | ||||
\(589\) | −8.53719 | − | 9.57692i | −0.351769 | − | 0.394610i | ||||
\(590\) | 1.73929 | + | 9.84177i | 0.0716052 | + | 0.405179i | ||||
\(591\) | −1.04853 | + | 0.466835i | −0.0431307 | + | 0.0192030i | ||||
\(592\) | −3.00733 | − | 0.639227i | −0.123600 | − | 0.0262721i | ||||
\(593\) | 19.8655 | + | 34.4080i | 0.815777 | + | 1.41297i | 0.908769 | + | 0.417300i | \(0.137024\pi\) |
−0.0929915 | + | 0.995667i | \(0.529643\pi\) | |||||||
\(594\) | −0.501341 | − | 0.106563i | −0.0205703 | − | 0.00437234i | ||||
\(595\) | −18.8155 | − | 11.7471i | −0.771359 | − | 0.481585i | ||||
\(596\) | −4.28051 | + | 13.1741i | −0.175336 | + | 0.539630i | ||||
\(597\) | −4.36203 | + | 13.4249i | −0.178526 | + | 0.549446i | ||||
\(598\) | 27.7689 | + | 12.3635i | 1.13555 | + | 0.505582i | ||||
\(599\) | −19.1750 | − | 33.2121i | −0.783470 | − | 1.35701i | −0.929909 | − | 0.367790i | \(-0.880114\pi\) |
0.146439 | − | 0.989220i | \(-0.453219\pi\) | |||||||
\(600\) | 7.04151 | − | 2.56906i | 0.287469 | − | 0.104881i | ||||
\(601\) | 33.9596 | 1.38524 | 0.692621 | − | 0.721302i | \(-0.256456\pi\) | ||||
0.692621 | + | 0.721302i | \(0.256456\pi\) | |||||||
\(602\) | 1.08949 | + | 0.485072i | 0.0444043 | + | 0.0197701i | ||||
\(603\) | −2.86464 | − | 3.18150i | −0.116657 | − | 0.129561i | ||||
\(604\) | 8.25222 | − | 1.75406i | 0.335778 | − | 0.0713718i | ||||
\(605\) | −15.1244 | + | 19.3737i | −0.614893 | + | 0.787653i | ||||
\(606\) | −8.83647 | − | 1.87825i | −0.358957 | − | 0.0762987i | ||||
\(607\) | −11.7078 | −0.475204 | −0.237602 | − | 0.971363i | \(-0.576361\pi\) | ||||
−0.237602 | + | 0.971363i | \(0.576361\pi\) | |||||||
\(608\) | 3.51363 | + | 2.57961i | 0.142497 | + | 0.104617i | ||||
\(609\) | −13.3724 | − | 9.71558i | −0.541875 | − | 0.393695i | ||||
\(610\) | 7.20330 | − | 9.22714i | 0.291653 | − | 0.373596i | ||||
\(611\) | 0.0160157 | + | 0.152379i | 0.000647926 | + | 0.00616460i | ||||
\(612\) | −0.213350 | + | 2.02989i | −0.00862416 | + | 0.0820534i | ||||
\(613\) | −24.4533 | + | 10.8873i | −0.987661 | + | 0.439735i | −0.836019 | − | 0.548701i | \(-0.815123\pi\) |
−0.151642 | + | 0.988436i | \(0.548456\pi\) | |||||||
\(614\) | −10.1377 | − | 4.51360i | −0.409124 | − | 0.182154i | ||||
\(615\) | 22.4130 | + | 21.6273i | 0.903779 | + | 0.872095i | ||||
\(616\) | 0.269631 | + | 0.195899i | 0.0108638 | + | 0.00789298i | ||||
\(617\) | −22.2657 | + | 24.7286i | −0.896383 | + | 0.995534i | 0.103617 | + | 0.994617i | \(0.466959\pi\) |
−1.00000 | 0.000916889i | \(0.999708\pi\) | ||||||||
\(618\) | −2.02779 | − | 3.51223i | −0.0815697 | − | 0.141283i | ||||
\(619\) | 3.60085 | + | 11.0823i | 0.144730 | + | 0.445434i | 0.996976 | − | 0.0777072i | \(-0.0247599\pi\) |
−0.852246 | + | 0.523141i | \(0.824760\pi\) | |||||||
\(620\) | −1.14537 | − | 6.48106i | −0.0459990 | − | 0.260286i | ||||
\(621\) | 38.5748 | − | 8.19934i | 1.54796 | − | 0.329028i | ||||
\(622\) | −5.16727 | − | 5.73883i | −0.207189 | − | 0.230106i | ||||
\(623\) | 20.3154 | + | 9.04501i | 0.813921 | + | 0.362381i | ||||
\(624\) | −3.25016 | + | 5.62945i | −0.130111 | + | 0.225358i | ||||
\(625\) | 4.37920 | + | 24.6135i | 0.175168 | + | 0.984539i | ||||
\(626\) | 26.2620 | 1.04964 | ||||||||
\(627\) | −0.582937 | + | 0.120879i | −0.0232803 | + | 0.00482742i | ||||
\(628\) | 2.68190 | − | 8.25403i | 0.107019 | − | 0.329372i | ||||
\(629\) | −5.57871 | − | 6.19579i | −0.222438 | − | 0.247042i | ||||
\(630\) | 5.78630 | + | 2.10351i | 0.230532 | + | 0.0838060i | ||||
\(631\) | −19.3449 | + | 21.4847i | −0.770108 | + | 0.855291i | −0.992823 | − | 0.119592i | \(-0.961841\pi\) |
0.222715 | + | 0.974884i | \(0.428508\pi\) | |||||||
\(632\) | 1.74242 | − | 3.01796i | 0.0693098 | − | 0.120048i | ||||
\(633\) | 12.3923 | − | 13.7630i | 0.492548 | − | 0.547030i | ||||
\(634\) | 22.2812 | + | 16.1883i | 0.884901 | + | 0.642918i | ||||
\(635\) | −24.2799 | − | 23.4287i | −0.963517 | − | 0.929739i | ||||
\(636\) | −16.1322 | − | 7.18251i | −0.639683 | − | 0.284805i | ||||
\(637\) | 2.89257 | − | 27.5210i | 0.114608 | − | 1.09042i | ||||
\(638\) | −0.222163 | − | 0.161411i | −0.00879552 | − | 0.00639032i | ||||
\(639\) | 5.39260 | − | 3.91796i | 0.213328 | − | 0.154992i | ||||
\(640\) | 0.838446 | + | 2.07292i | 0.0331425 | + | 0.0819395i | ||||
\(641\) | 12.6572 | − | 5.63535i | 0.499930 | − | 0.222583i | −0.141250 | − | 0.989974i | \(-0.545112\pi\) |
0.641180 | + | 0.767391i | \(0.278445\pi\) | |||||||
\(642\) | −13.1016 | + | 14.5507i | −0.517077 | + | 0.574272i | ||||
\(643\) | 6.21124 | − | 10.7582i | 0.244948 | − | 0.424262i | −0.717169 | − | 0.696899i | \(-0.754563\pi\) |
0.962117 | + | 0.272637i | \(0.0878959\pi\) | |||||||
\(644\) | −25.0835 | − | 5.33166i | −0.988429 | − | 0.210097i | ||||
\(645\) | −1.08225 | − | 0.151675i | −0.0426137 | − | 0.00597219i | ||||
\(646\) | 3.59665 | + | 11.2597i | 0.141508 | + | 0.443006i | ||||
\(647\) | 15.2142 | − | 46.8244i | 0.598130 | − | 1.84086i | 0.0596472 | − | 0.998220i | \(-0.481002\pi\) |
0.538483 | − | 0.842636i | \(-0.318998\pi\) | |||||||
\(648\) | 0.645508 | + | 6.14160i | 0.0253579 | + | 0.241265i | ||||
\(649\) | 0.203606 | − | 0.352656i | 0.00799224 | − | 0.0138430i | ||||
\(650\) | −16.6191 | − | 13.9232i | −0.651855 | − | 0.546115i | ||||
\(651\) | −8.07049 | + | 13.9785i | −0.316307 | + | 0.547860i | ||||
\(652\) | 13.4617 | + | 5.99353i | 0.527200 | + | 0.234725i | ||||
\(653\) | 5.90203 | − | 18.1646i | 0.230964 | − | 0.710835i | −0.766667 | − | 0.642045i | \(-0.778086\pi\) |
0.997631 | − | 0.0687899i | \(-0.0219138\pi\) | |||||||
\(654\) | −0.880041 | + | 2.70849i | −0.0344123 | + | 0.105910i | ||||
\(655\) | 20.2628 | + | 12.6507i | 0.791733 | + | 0.494305i | ||||
\(656\) | −6.21724 | + | 6.90494i | −0.242742 | + | 0.269593i | ||||
\(657\) | −6.06414 | −0.236585 | ||||||||
\(658\) | −0.0399438 | − | 0.122934i | −0.00155717 | − | 0.00479248i | ||||
\(659\) | 4.02204 | − | 38.2672i | 0.156677 | − | 1.49068i | −0.580102 | − | 0.814544i | \(-0.696987\pi\) |
0.736778 | − | 0.676134i | \(-0.236346\pi\) | |||||||
\(660\) | −0.287024 | − | 0.104343i | −0.0111724 | − | 0.00406154i | ||||
\(661\) | −24.6490 | − | 10.9745i | −0.958736 | − | 0.426857i | −0.133127 | − | 0.991099i | \(-0.542502\pi\) |
−0.825609 | + | 0.564242i | \(0.809168\pi\) | |||||||
\(662\) | −8.87633 | + | 3.95199i | −0.344988 | + | 0.153599i | ||||
\(663\) | −16.1032 | + | 7.16960i | −0.625396 | + | 0.278444i | ||||
\(664\) | −2.56283 | + | 1.86201i | −0.0994572 | + | 0.0722599i | ||||
\(665\) | 35.5791 | − | 2.32388i | 1.37970 | − | 0.0901161i | ||||
\(666\) | 1.87217 | + | 1.36021i | 0.0725451 | + | 0.0527071i | ||||
\(667\) | 20.6676 | + | 4.39303i | 0.800252 | + | 0.170099i | ||||
\(668\) | 0.191436 | − | 0.331577i | 0.00740688 | − | 0.0128291i | ||||
\(669\) | −17.7230 | + | 19.6834i | −0.685211 | + | 0.761004i | ||||
\(670\) | −7.11611 | − | 10.5413i | −0.274919 | − | 0.407245i | ||||
\(671\) | −0.466528 | + | 0.0991637i | −0.0180101 | + | 0.00382817i | ||||
\(672\) | 1.69462 | − | 5.21551i | 0.0653714 | − | 0.201193i | ||||
\(673\) | 35.6346 | − | 25.8900i | 1.37361 | − | 0.997987i | 0.376166 | − | 0.926552i | \(-0.377242\pi\) |
0.997445 | − | 0.0714345i | \(-0.0227577\pi\) | |||||||
\(674\) | −15.0795 | − | 26.1184i | −0.580840 | − | 1.00604i | ||||
\(675\) | −28.0613 | − | 1.94048i | −1.08008 | − | 0.0746890i | ||||
\(676\) | 5.80206 | 0.223156 | ||||||||
\(677\) | 17.8418 | − | 12.9629i | 0.685718 | − | 0.498203i | −0.189532 | − | 0.981875i | \(-0.560697\pi\) |
0.875250 | + | 0.483671i | \(0.160697\pi\) | |||||||
\(678\) | 13.3330 | − | 2.83402i | 0.512052 | − | 0.108840i | ||||
\(679\) | 21.5010 | + | 23.8793i | 0.825133 | + | 0.916403i | ||||
\(680\) | −1.46465 | + | 5.88406i | −0.0561668 | + | 0.225644i | ||||
\(681\) | −13.5462 | − | 2.87933i | −0.519090 | − | 0.110336i | ||||
\(682\) | −0.134080 | + | 0.232233i | −0.00513419 | + | 0.00889267i | ||||
\(683\) | 9.88804 | + | 30.4323i | 0.378355 | + | 1.16446i | 0.941187 | + | 0.337886i | \(0.109712\pi\) |
−0.562832 | + | 0.826572i | \(0.690288\pi\) | |||||||
\(684\) | −1.62627 | − | 2.84944i | −0.0621821 | − | 0.108951i | ||||
\(685\) | 14.2868 | − | 29.3210i | 0.545870 | − | 1.12030i | ||||
\(686\) | −0.236367 | − | 2.24888i | −0.00902452 | − | 0.0858625i | ||||
\(687\) | 17.4868 | − | 7.78561i | 0.667162 | − | 0.297040i | ||||
\(688\) | 0.0340777 | − | 0.324227i | 0.00129920 | − | 0.0123610i | ||||
\(689\) | 5.33910 | + | 50.7982i | 0.203404 | + | 1.93526i | ||||
\(690\) | 23.4408 | − | 1.64823i | 0.892375 | − | 0.0627470i | ||||
\(691\) | 22.8967 | + | 16.6354i | 0.871030 | + | 0.632840i | 0.930863 | − | 0.365368i | \(-0.119057\pi\) |
−0.0598332 | + | 0.998208i | \(0.519057\pi\) | |||||||
\(692\) | 6.61486 | + | 20.3584i | 0.251459 | + | 0.773912i | ||||
\(693\) | −0.125428 | − | 0.217247i | −0.00476461 | − | 0.00825255i | ||||
\(694\) | 19.7107 | − | 21.8910i | 0.748209 | − | 0.830970i | ||||
\(695\) | −20.5048 | − | 19.7860i | −0.777791 | − | 0.750524i | ||||
\(696\) | −1.39629 | + | 4.29733i | −0.0529261 | + | 0.162890i | ||||
\(697\) | −24.6455 | + | 5.23856i | −0.933514 | + | 0.198425i | ||||
\(698\) | −0.919084 | − | 8.74450i | −0.0347879 | − | 0.330984i | ||||
\(699\) | −14.9471 | − | 25.8892i | −0.565352 | − | 0.979218i | ||||
\(700\) | 16.1563 | + | 8.57445i | 0.610650 | + | 0.324084i | ||||
\(701\) | 21.5648 | − | 37.3513i | 0.814491 | − | 1.41074i | −0.0952025 | − | 0.995458i | \(-0.530350\pi\) |
0.909693 | − | 0.415281i | \(-0.136317\pi\) | |||||||
\(702\) | 19.7349 | − | 14.3382i | 0.744845 | − | 0.541162i | ||||
\(703\) | 13.0946 | + | 2.85152i | 0.493873 | + | 0.107547i | ||||
\(704\) | 0.0281538 | − | 0.0866485i | 0.00106109 | − | 0.00326569i | ||||
\(705\) | 0.0662729 | + | 0.0981719i | 0.00249598 | + | 0.00369737i | ||||
\(706\) | 6.16846 | + | 1.31115i | 0.232153 | + | 0.0493456i | ||||
\(707\) | −11.0222 | − | 19.0911i | −0.414534 | − | 0.717994i | ||||
\(708\) | −6.55395 | − | 1.39308i | −0.246312 | − | 0.0523553i | ||||
\(709\) | 0.175109 | − | 1.66605i | 0.00657635 | − | 0.0625698i | −0.990742 | − | 0.135762i | \(-0.956652\pi\) |
0.997318 | + | 0.0731919i | \(0.0233185\pi\) | |||||||
\(710\) | 17.4808 | − | 9.30334i | 0.656041 | − | 0.349148i | ||||
\(711\) | −2.12203 | + | 1.54175i | −0.0795825 | + | 0.0578200i | ||||
\(712\) | 0.635437 | − | 6.04578i | 0.0238140 | − | 0.226575i | ||||
\(713\) | 2.15675 | − | 20.5201i | 0.0807709 | − | 0.768484i | ||||
\(714\) | 12.0308 | − | 8.74089i | 0.450241 | − | 0.327120i | ||||
\(715\) | 0.153731 | + | 0.869890i | 0.00574922 | + | 0.0325320i | ||||
\(716\) | −2.04861 | + | 19.4912i | −0.0765601 | + | 0.728420i | ||||
\(717\) | −34.8131 | − | 7.39976i | −1.30012 | − | 0.276349i | ||||
\(718\) | −2.87755 | − | 4.98406i | −0.107389 | − | 0.186003i | ||||
\(719\) | 10.1721 | + | 2.16215i | 0.379355 | + | 0.0806345i | 0.393643 | − | 0.919263i | \(-0.371215\pi\) |
−0.0142874 | + | 0.999898i | \(0.504548\pi\) | |||||||
\(720\) | 0.0580885 | − | 1.68204i | 0.00216483 | − | 0.0626861i | ||||
\(721\) | 3.05817 | − | 9.41207i | 0.113892 | − | 0.350524i | ||||
\(722\) | −15.2594 | − | 11.3203i | −0.567897 | − | 0.421299i | ||||
\(723\) | 13.8526 | − | 10.0645i | 0.515184 | − | 0.374303i | ||||
\(724\) | −12.4033 | + | 21.4831i | −0.460963 | + | 0.798412i | ||||
\(725\) | −13.3120 | − | 7.06493i | −0.494395 | − | 0.262385i | ||||
\(726\) | −8.23886 | − | 14.2701i | −0.305773 | − | 0.529614i | ||||
\(727\) | −2.01744 | − | 19.1947i | −0.0748229 | − | 0.711892i | −0.966054 | − | 0.258342i | \(-0.916824\pi\) |
0.891231 | − | 0.453550i | \(-0.149843\pi\) | |||||||
\(728\) | −15.5155 | + | 3.29792i | −0.575042 | + | 0.122229i | ||||
\(729\) | 9.25461 | − | 28.4828i | 0.342763 | − | 1.05492i | ||||
\(730\) | −17.8410 | − | 2.50037i | −0.660325 | − | 0.0925428i | ||||
\(731\) | 0.591551 | − | 0.656984i | 0.0218793 | − | 0.0242994i | ||||
\(732\) | 3.92393 | + | 6.79645i | 0.145033 | + | 0.251204i | ||||
\(733\) | 9.85144 | + | 30.3196i | 0.363871 | + | 1.11988i | 0.950685 | + | 0.310158i | \(0.100382\pi\) |
−0.586814 | + | 0.809722i | \(0.699618\pi\) | |||||||
\(734\) | −28.4475 | − | 20.6684i | −1.05002 | − | 0.762883i | ||||
\(735\) | −8.02147 | − | 19.8318i | −0.295876 | − | 0.731507i | ||||
\(736\) | 0.732758 | + | 6.97172i | 0.0270098 | + | 0.256981i | ||||
\(737\) | −0.0541672 | + | 0.515367i | −0.00199527 | + | 0.0189838i | ||||
\(738\) | 6.38893 | − | 2.84453i | 0.235180 | − | 0.104709i | ||||
\(739\) | −1.93315 | − | 18.3927i | −0.0711122 | − | 0.676588i | −0.970773 | − | 0.239999i | \(-0.922853\pi\) |
0.899661 | − | 0.436589i | \(-0.143814\pi\) | |||||||
\(740\) | 4.94718 | + | 4.77374i | 0.181862 | + | 0.175486i | ||||
\(741\) | 14.2891 | − | 24.4674i | 0.524922 | − | 0.898832i | ||||
\(742\) | −13.3159 | − | 40.9822i | −0.488843 | − | 1.50450i | ||||
\(743\) | −17.8054 | + | 30.8399i | −0.653217 | + | 1.13141i | 0.329121 | + | 0.944288i | \(0.393248\pi\) |
−0.982338 | + | 0.187117i | \(0.940086\pi\) | |||||||
\(744\) | 4.31595 | + | 0.917383i | 0.158230 | + | 0.0336329i | ||||
\(745\) | 23.7198 | − | 19.9189i | 0.869027 | − | 0.729772i | ||||
\(746\) | 16.3356 | + | 18.1425i | 0.598089 | + | 0.664246i | ||||
\(747\) | 2.33227 | − | 0.495739i | 0.0853332 | − | 0.0181381i | ||||
\(748\) | 0.199875 | − | 0.145218i | 0.00730816 | − | 0.00530969i | ||||
\(749\) | −47.7791 | −1.74581 | ||||||||
\(750\) | −16.3983 | − | 3.46573i | −0.598780 | − | 0.126550i | ||||
\(751\) | −15.7597 | − | 27.2967i | −0.575081 | − | 0.996069i | −0.996033 | − | 0.0889865i | \(-0.971637\pi\) |
0.420952 | − | 0.907083i | \(-0.361696\pi\) | |||||||
\(752\) | −0.0285868 | + | 0.0207696i | −0.00104245 | + | 0.000757388i | ||||
\(753\) | −9.42874 | + | 29.0187i | −0.343602 | + | 1.05750i | ||||
\(754\) | 12.7840 | − | 2.71732i | 0.465566 | − | 0.0989591i | ||||
\(755\) | −17.7296 | − | 6.44529i | −0.645245 | − | 0.234568i | ||||
\(756\) | −13.7703 | + | 15.2935i | −0.500821 | + | 0.556218i | ||||
\(757\) | −8.73692 | + | 15.1328i | −0.317549 | + | 0.550011i | −0.979976 | − | 0.199116i | \(-0.936193\pi\) |
0.662427 | + | 0.749126i | \(0.269526\pi\) | |||||||
\(758\) | −24.5569 | − | 5.21974i | −0.891949 | − | 0.189590i | ||||
\(759\) | −0.774587 | − | 0.562770i | −0.0281157 | − | 0.0204273i | ||||
\(760\) | −3.60969 | − | 9.05373i | −0.130937 | − | 0.328413i | ||||
\(761\) | 42.6219 | − | 30.9666i | 1.54504 | − | 1.12254i | 0.597972 | − | 0.801517i | \(-0.295973\pi\) |
0.947071 | − | 0.321023i | \(-0.104027\pi\) | |||||||
\(762\) | 20.6646 | − | 9.20049i | 0.748601 | − | 0.333299i | ||||
\(763\) | −6.34858 | + | 2.82657i | −0.229834 | + | 0.102329i | ||||
\(764\) | 1.77112 | + | 0.788553i | 0.0640769 | + | 0.0285289i | ||||
\(765\) | 2.80847 | − | 3.59754i | 0.101541 | − | 0.130069i | ||||
\(766\) | −0.852275 | + | 8.10885i | −0.0307939 | + | 0.292985i | ||||
\(767\) | 5.98896 | + | 18.4321i | 0.216249 | + | 0.665545i | ||||
\(768\) | −1.49911 | −0.0540943 | ||||||||
\(769\) | −21.9993 | + | 24.4327i | −0.793315 | + | 0.881065i | −0.995151 | − | 0.0983540i | \(-0.968642\pi\) |
0.201837 | + | 0.979419i | \(0.435309\pi\) | |||||||
\(770\) | −0.279439 | − | 0.690869i | −0.0100703 | − | 0.0248972i | ||||
\(771\) | 10.5628 | − | 32.5089i | 0.380409 | − | 1.17078i | ||||
\(772\) | −2.72089 | + | 8.37405i | −0.0979271 | + | 0.301389i | ||||
\(773\) | −35.0128 | − | 15.5887i | −1.25932 | − | 0.560687i | −0.334971 | − | 0.942228i | \(-0.608727\pi\) |
−0.924352 | + | 0.381542i | \(0.875393\pi\) | |||||||
\(774\) | −0.122692 | + | 0.212509i | −0.00441007 | + | 0.00763847i | ||||
\(775\) | −5.50243 | + | 13.6493i | −0.197653 | + | 0.490298i | ||||
\(776\) | 4.39197 | − | 7.60712i | 0.157663 | − | 0.273080i | ||||
\(777\) | −1.76239 | − | 16.7680i | −0.0632253 | − | 0.601549i | ||||
\(778\) | 0.105401 | − | 0.324390i | 0.00377880 | − | 0.0116299i | ||||
\(779\) | 27.2497 | − | 29.9627i | 0.976323 | − | 1.07353i | ||||
\(780\) | 12.8312 | − | 6.82880i | 0.459429 | − | 0.244510i | ||||
\(781\) | −0.789202 | − | 0.167750i | −0.0282399 | − | 0.00600257i | ||||
\(782\) | −9.50478 | + | 16.4628i | −0.339890 | + | 0.588707i | ||||
\(783\) | 11.3461 | − | 12.6011i | 0.405475 | − | 0.450325i | ||||
\(784\) | 5.83011 | − | 2.59573i | 0.208218 | − | 0.0927047i | ||||
\(785\) | −14.8613 | + | 12.4799i | −0.530424 | + | 0.445427i | ||||
\(786\) | −12.9562 | + | 9.41326i | −0.462134 | + | 0.335760i | ||||
\(787\) | 19.5253 | + | 14.1860i | 0.696003 | + | 0.505676i | 0.878628 | − | 0.477507i | \(-0.158459\pi\) |
−0.182625 | + | 0.983183i | \(0.558459\pi\) | |||||||
\(788\) | −0.0800299 | + | 0.761433i | −0.00285095 | + | 0.0271249i | ||||
\(789\) | 9.86510 | + | 4.39222i | 0.351207 | + | 0.156367i | ||||
\(790\) | −6.87882 | + | 3.66094i | −0.244737 | + | 0.130250i | ||||
\(791\) | 26.9096 | + | 19.5510i | 0.956796 | + | 0.695153i | ||||
\(792\) | −0.0458856 | + | 0.0509612i | −0.00163048 | + | 0.00181083i | ||||
\(793\) | 11.3499 | − | 19.6586i | 0.403047 | − | 0.698097i | ||||
\(794\) | 7.81850 | − | 8.68333i | 0.277468 | − | 0.308160i | ||||
\(795\) | 22.0932 | + | 32.7272i | 0.783564 | + | 1.16072i | ||||
\(796\) | 6.30064 | + | 6.99757i | 0.223320 | + | 0.248022i | ||||
\(797\) | 0.874132 | − | 2.69030i | 0.0309633 | − | 0.0952954i | −0.934381 | − | 0.356277i | \(-0.884046\pi\) |
0.965344 | + | 0.260981i | \(0.0840461\pi\) | |||||||
\(798\) | −7.49972 | + | 22.6968i | −0.265487 | + | 0.803459i | ||||
\(799\) | −0.0958198 | −0.00338986 | ||||||||
\(800\) | 0.864440 | − | 4.92471i | 0.0305626 | − | 0.174115i | ||||
\(801\) | −2.28781 | + | 3.96260i | −0.0808356 | + | 0.140011i | ||||
\(802\) | 2.26802 | + | 1.00979i | 0.0800866 | + | 0.0356569i | ||||
\(803\) | 0.491160 | + | 0.545489i | 0.0173327 | + | 0.0192499i | ||||
\(804\) | 8.34035 | − | 1.77280i | 0.294141 | − | 0.0625217i | ||||
\(805\) | 41.2634 | + | 39.8168i | 1.45434 | + | 1.40336i | ||||
\(806\) | −3.94389 | − | 12.1380i | −0.138918 | − | 0.427544i | ||||
\(807\) | 22.6837 | + | 39.2894i | 0.798506 | + | 1.38305i | ||||
\(808\) | −4.03230 | + | 4.47832i | −0.141856 | + | 0.157547i | ||||
\(809\) | 23.2123 | + | 16.8647i | 0.816101 | + | 0.592932i | 0.915593 | − | 0.402107i | \(-0.131722\pi\) |
−0.0994923 | + | 0.995038i | \(0.531722\pi\) | |||||||
\(810\) | 6.04853 | − | 12.4135i | 0.212524 | − | 0.436165i | ||||
\(811\) | −24.4789 | − | 10.8987i | −0.859572 | − | 0.382706i | −0.0708728 | − | 0.997485i | \(-0.522578\pi\) |
−0.788699 | + | 0.614779i | \(0.789245\pi\) | |||||||
\(812\) | −10.0727 | + | 4.48468i | −0.353484 | + | 0.157381i | ||||
\(813\) | −1.59354 | + | 15.1616i | −0.0558880 | + | 0.531739i | ||||
\(814\) | −0.0292796 | − | 0.278577i | −0.00102625 | − | 0.00976412i | ||||
\(815\) | −18.4359 | − | 27.3096i | −0.645781 | − | 0.956613i | ||||
\(816\) | −3.28879 | − | 2.38945i | −0.115131 | − | 0.0836474i | ||||
\(817\) | −0.155572 | + | 1.41252i | −0.00544276 | + | 0.0494177i | ||||
\(818\) | −11.0362 | −0.385871 | ||||||||
\(819\) | 11.6782 | + | 2.48228i | 0.408070 | + | 0.0867379i | ||||
\(820\) | 19.9694 | − | 5.73447i | 0.697362 | − | 0.200257i | ||||
\(821\) | −26.6394 | + | 5.66237i | −0.929720 | + | 0.197618i | −0.647792 | − | 0.761817i | \(-0.724307\pi\) |
−0.281928 | + | 0.959435i | \(0.590974\pi\) | |||||||
\(822\) | 14.6317 | + | 16.2502i | 0.510339 | + | 0.566789i | ||||
\(823\) | −3.47060 | − | 1.54521i | −0.120978 | − | 0.0538627i | 0.345355 | − | 0.938472i | \(-0.387758\pi\) |
−0.466333 | + | 0.884609i | \(0.654425\pi\) | |||||||
\(824\) | −2.70533 | −0.0942447 | ||||||||
\(825\) | 0.420850 | + | 0.537808i | 0.0146521 | + | 0.0187241i | ||||
\(826\) | −8.17512 | − | 14.1597i | −0.284449 | − | 0.492680i | ||||
\(827\) | −11.0634 | − | 4.92575i | −0.384713 | − | 0.171285i | 0.205262 | − | 0.978707i | \(-0.434195\pi\) |
−0.589974 | + | 0.807422i | \(0.700862\pi\) | |||||||
\(828\) | 1.63050 | − | 5.01815i | 0.0566636 | − | 0.174393i | ||||
\(829\) | 4.86066 | − | 14.9596i | 0.168818 | − | 0.519567i | −0.830480 | − | 0.557049i | \(-0.811934\pi\) |
0.999297 | + | 0.0374817i | \(0.0119336\pi\) | |||||||
\(830\) | 7.06605 | − | 0.496846i | 0.245266 | − | 0.0172458i | ||||
\(831\) | 23.9283 | + | 5.08611i | 0.830062 | + | 0.176435i | ||||
\(832\) | 2.16807 | + | 3.75520i | 0.0751642 | + | 0.130188i | ||||
\(833\) | 16.9277 | + | 3.59809i | 0.586510 | + | 0.124666i | ||||
\(834\) | 17.4517 | − | 7.76998i | 0.604301 | − | 0.269052i | ||||
\(835\) | −0.755760 | + | 0.402219i | −0.0261542 | + | 0.0139194i | ||||
\(836\) | −0.124597 | + | 0.377077i | −0.00430929 | + | 0.0130415i | ||||
\(837\) | −13.3959 | − | 9.73267i | −0.463029 | − | 0.336410i | ||||
\(838\) | −20.0102 | + | 8.90910i | −0.691240 | + | 0.307760i | ||||
\(839\) | 3.53228 | + | 33.6074i | 0.121948 | + | 1.16026i | 0.868764 | + | 0.495226i | \(0.164915\pi\) |
−0.746816 | + | 0.665030i | \(0.768419\pi\) | |||||||
\(840\) | −9.39050 | + | 7.88574i | −0.324003 | + | 0.272084i | ||||
\(841\) | −18.1934 | + | 8.10021i | −0.627357 | + | 0.279317i | ||||
\(842\) | −7.55280 | + | 8.38823i | −0.260287 | + | 0.289077i | ||||
\(843\) | 38.2319 | 1.31678 | ||||||||
\(844\) | −3.81760 | − | 11.7494i | −0.131407 | − | 0.404429i | ||||
\(845\) | −11.0051 | − | 6.87082i | −0.378586 | − | 0.236364i | ||||
\(846\) | 0.0260150 | − | 0.00552967i | 0.000894415 | − | 0.000190114i | ||||
\(847\) | 12.4253 | − | 38.2410i | 0.426937 | − | 1.31398i | ||||
\(848\) | −9.52990 | + | 6.92388i | −0.327258 | + | 0.237767i | ||||
\(849\) | −6.08645 | − | 10.5420i | −0.208886 | − | 0.361802i | ||||
\(850\) | 9.74601 | − | 9.42616i | 0.334285 | − | 0.323314i | ||||
\(851\) | 10.7764 | + | 18.6652i | 0.369409 | + | 0.639835i | ||||
\(852\) | 1.38770 | + | 13.2031i | 0.0475419 | + | 0.452331i | ||||
\(853\) | 18.0994 | + | 20.1014i | 0.619711 | + | 0.688259i | 0.968520 | − | 0.248935i | \(-0.0800805\pi\) |
−0.348809 | + | 0.937194i | \(0.613414\pi\) | |||||||
\(854\) | −5.91779 | + | 18.2131i | −0.202503 | + | 0.623239i | ||||
\(855\) | −0.289682 | + | 7.33051i | −0.00990691 | + | 0.250698i | ||||
\(856\) | 4.03610 | + | 12.4218i | 0.137951 | + | 0.424570i | ||||
\(857\) | −18.0735 | + | 31.3042i | −0.617379 | + | 1.06933i | 0.372584 | + | 0.927999i | \(0.378472\pi\) |
−0.989962 | + | 0.141332i | \(0.954861\pi\) | |||||||
\(858\) | −0.579287 | − | 0.123131i | −0.0197765 | − | 0.00420363i | ||||
\(859\) | 2.22892 | − | 21.2068i | 0.0760498 | − | 0.723566i | −0.888359 | − | 0.459150i | \(-0.848154\pi\) |
0.964409 | − | 0.264416i | \(-0.0851792\pi\) | |||||||
\(860\) | −0.448588 | + | 0.574623i | −0.0152967 | + | 0.0195945i | ||||
\(861\) | −46.5486 | − | 20.7248i | −1.58637 | − | 0.706299i | ||||
\(862\) | −30.3090 | − | 22.0208i | −1.03233 | − | 0.750030i | ||||
\(863\) | −37.8756 | − | 27.5182i | −1.28930 | − | 0.936732i | −0.289510 | − | 0.957175i | \(-0.593492\pi\) |
−0.999791 | + | 0.0204431i | \(0.993492\pi\) | |||||||
\(864\) | 5.13930 | + | 2.28816i | 0.174843 | + | 0.0778450i | ||||
\(865\) | 11.5618 | − | 46.4482i | 0.393113 | − | 1.57929i | ||||
\(866\) | −10.5971 | − | 7.69927i | −0.360105 | − | 0.261632i | ||||
\(867\) | 4.46874 | + | 13.7534i | 0.151766 | + | 0.467089i | ||||
\(868\) | 5.38354 | + | 9.32456i | 0.182729 | + | 0.316496i | ||||
\(869\) | 0.310558 | + | 0.0660110i | 0.0105349 | + | 0.00223927i | ||||
\(870\) | 7.73732 | − | 6.49747i | 0.262320 | − | 0.220285i | ||||
\(871\) | −16.5029 | − | 18.3284i | −0.559180 | − | 0.621033i | ||||
\(872\) | 1.27116 | + | 1.41176i | 0.0430468 | + | 0.0478083i | ||||
\(873\) | −5.34883 | + | 3.88615i | −0.181030 | + | 0.131526i | ||||
\(874\) | −3.04276 | − | 30.4046i | −0.102923 | − | 1.02845i | ||||
\(875\) | −20.4905 | − | 35.3959i | −0.692706 | − | 1.19660i | ||||
\(876\) | 6.03893 | − | 10.4597i | 0.204037 | − | 0.353402i | ||||
\(877\) | 2.05063 | + | 19.5104i | 0.0692447 | + | 0.658819i | 0.973006 | + | 0.230782i | \(0.0741283\pi\) |
−0.903761 | + | 0.428038i | \(0.859205\pi\) | |||||||
\(878\) | 15.5793 | − | 3.31148i | 0.525776 | − | 0.111757i | ||||
\(879\) | 11.6145 | + | 12.8992i | 0.391748 | + | 0.435080i | ||||
\(880\) | −0.156010 | + | 0.131011i | −0.00525910 | + | 0.00441637i | ||||
\(881\) | −10.4626 | − | 32.2007i | −0.352495 | − | 1.08487i | −0.957448 | − | 0.288607i | \(-0.906808\pi\) |
0.604952 | − | 0.796262i | \(-0.293192\pi\) | |||||||
\(882\) | −4.80350 | −0.161742 | ||||||||
\(883\) | −35.6186 | + | 39.5585i | −1.19866 | + | 1.33125i | −0.268864 | + | 0.963178i | \(0.586648\pi\) |
−0.929798 | + | 0.368070i | \(0.880019\pi\) | |||||||
\(884\) | −1.22909 | + | 11.6940i | −0.0413388 | + | 0.393312i | ||||
\(885\) | 10.7815 | + | 10.4035i | 0.362416 | + | 0.349711i | ||||
\(886\) | 12.1177 | − | 8.80404i | 0.407103 | − | 0.295777i | ||||
\(887\) | 2.36855 | − | 22.5352i | 0.0795280 | − | 0.756659i | −0.879986 | − | 0.474999i | \(-0.842448\pi\) |
0.959514 | − | 0.281660i | \(-0.0908849\pi\) | |||||||
\(888\) | −4.21055 | + | 1.87466i | −0.141297 | + | 0.0629094i | ||||
\(889\) | 50.4259 | + | 22.4511i | 1.69123 | + | 0.752984i | ||||
\(890\) | −8.36470 | + | 10.7148i | −0.280385 | + | 0.359162i | ||||
\(891\) | −0.513986 | + | 0.228841i | −0.0172192 | + | 0.00766648i | ||||
\(892\) | 5.45980 | + | 16.8035i | 0.182808 | + | 0.562624i | ||||
\(893\) | 0.125056 | − | 0.0899112i | 0.00418484 | − | 0.00300877i | ||||
\(894\) | 6.41694 | + | 19.7493i | 0.214614 | + | 0.660515i | ||||
\(895\) | 26.9672 | − | 34.5440i | 0.901416 | − | 1.15468i | ||||
\(896\) | −2.44776 | − | 2.71851i | −0.0817740 | − | 0.0908192i | ||||
\(897\) | 44.5723 | − | 9.47414i | 1.48823 | − | 0.316332i | ||||
\(898\) | −3.66591 | − | 34.8788i | −0.122333 | − | 1.16392i | ||||
\(899\) | −4.43577 | − | 7.68298i | −0.147941 | − | 0.256242i | ||||
\(900\) | −2.10206 | + | 3.12163i | −0.0700688 | + | 0.104054i | ||||
\(901\) | −31.9431 | −1.06418 | ||||||||
\(902\) | −0.773341 | − | 0.344314i | −0.0257494 | − | 0.0114644i | ||||
\(903\) | 1.74876 | − | 0.371710i | 0.0581950 | − | 0.0123697i | ||||
\(904\) | 2.80979 | − | 8.64765i | 0.0934523 | − | 0.287617i | ||||
\(905\) | 48.9662 | − | 26.0600i | 1.62769 | − | 0.866265i | ||||
\(906\) | 8.46271 | − | 9.39879i | 0.281155 | − | 0.312254i | ||||
\(907\) | −10.9705 | + | 19.0015i | −0.364269 | + | 0.630933i | −0.988659 | − | 0.150180i | \(-0.952015\pi\) |
0.624389 | + | 0.781113i | \(0.285348\pi\) | |||||||
\(908\) | −6.18146 | + | 6.86520i | −0.205139 | + | 0.227830i | ||||
\(909\) | 4.14365 | − | 1.84487i | 0.137436 | − | 0.0611906i | ||||
\(910\) | 33.3344 | + | 12.1182i | 1.10502 | + | 0.401713i | ||||
\(911\) | 3.53967 | − | 2.57172i | 0.117274 | − | 0.0852048i | −0.527602 | − | 0.849492i | \(-0.676909\pi\) |
0.644876 | + | 0.764287i | \(0.276909\pi\) | |||||||
\(912\) | 6.53437 | + | 0.0325153i | 0.216375 | + | 0.00107669i | ||||
\(913\) | −0.233493 | − | 0.169643i | −0.00772751 | − | 0.00561436i | ||||
\(914\) | 3.91255 | + | 37.2254i | 0.129416 | + | 1.23131i | ||||
\(915\) | 0.605662 | − | 17.5379i | 0.0200226 | − | 0.579785i | ||||
\(916\) | 1.33469 | − | 12.6988i | 0.0440995 | − | 0.419579i | ||||
\(917\) | −38.2254 | − | 8.12505i | −1.26231 | − | 0.268313i | ||||
\(918\) | 7.62765 | + | 13.2115i | 0.251750 | + | 0.436044i | ||||
\(919\) | 17.6378 | + | 54.2835i | 0.581817 | + | 1.79065i | 0.611695 | + | 0.791094i | \(0.290488\pi\) |
−0.0298781 | + | 0.999554i | \(0.509512\pi\) | |||||||
\(920\) | 6.86608 | − | 14.0914i | 0.226368 | − | 0.464578i | ||||
\(921\) | −16.2722 | + | 3.45876i | −0.536187 | + | 0.113970i | ||||
\(922\) | −0.585055 | + | 0.124357i | −0.0192677 | + | 0.00409549i | ||||
\(923\) | 31.0663 | − | 22.5710i | 1.02256 | − | 0.742934i | ||||
\(924\) | 0.499626 | 0.0164365 | ||||||||
\(925\) | −3.73047 | − | 14.9131i | −0.122657 | − | 0.490339i | ||||
\(926\) | 7.05608 | − | 12.2215i | 0.231877 | − | 0.401623i | ||||
\(927\) | 1.86021 | + | 0.828219i | 0.0610973 | + | 0.0272023i | ||||
\(928\) | 2.01684 | + | 2.23992i | 0.0662059 | + | 0.0735291i | ||||
\(929\) | −19.3618 | − | 21.5035i | −0.635241 | − | 0.705506i | 0.336466 | − | 0.941696i | \(-0.390768\pi\) |
−0.971707 | + | 0.236189i | \(0.924102\pi\) | |||||||
\(930\) | −7.09991 | − | 6.85101i | −0.232815 | − | 0.224653i | ||||
\(931\) | −25.4688 | + | 11.1879i | −0.834708 | + | 0.366670i | ||||
\(932\) | −19.9414 | −0.653202 | ||||||||
\(933\) | −11.3237 | − | 2.40692i | −0.370720 | − | 0.0787989i | ||||
\(934\) | 36.9012 | − | 16.4295i | 1.20744 | − | 0.537588i | ||||
\(935\) | −0.551081 | + | 0.0387490i | −0.0180223 | + | 0.00126723i | ||||
\(936\) | −0.341153 | − | 3.24585i | −0.0111509 | − | 0.106094i | ||||
\(937\) | 3.89136 | − | 37.0238i | 0.127125 | − | 1.20952i | −0.725957 | − | 0.687740i | \(-0.758603\pi\) |
0.853083 | − | 0.521776i | \(-0.174730\pi\) | |||||||
\(938\) | 16.8331 | + | 12.2299i | 0.549619 | + | 0.399322i | ||||
\(939\) | 31.8506 | − | 23.1408i | 1.03941 | − | 0.755172i | ||||
\(940\) | 0.0788175 | − | 0.00554202i | 0.00257074 | − | 0.000180761i | ||||
\(941\) | −5.60694 | + | 53.3465i | −0.182781 | + | 1.73905i | 0.391314 | + | 0.920257i | \(0.372021\pi\) |
−0.574095 | + | 0.818789i | \(0.694646\pi\) | |||||||
\(942\) | −4.02045 | − | 12.3737i | −0.130993 | − | 0.403156i | ||||
\(943\) | 65.1347 | 2.12108 | ||||||||
\(944\) | −2.99073 | + | 3.32154i | −0.0973400 | + | 0.108107i | ||||
\(945\) | 44.2294 | − | 12.7010i | 1.43878 | − | 0.413165i | ||||
\(946\) | 0.0290532 | − | 0.00617545i | 0.000944601 | − | 0.000200781i | ||||
\(947\) | −30.5423 | − | 33.9206i | −0.992490 | − | 1.10227i | −0.994756 | − | 0.102274i | \(-0.967388\pi\) |
0.00226646 | − | 0.999997i | \(-0.499279\pi\) | |||||||
\(948\) | −0.546072 | − | 5.19553i | −0.0177356 | − | 0.168743i | ||||
\(949\) | −34.9350 | −1.13404 | ||||||||
\(950\) | −3.87478 | + | 21.4473i | −0.125714 | + | 0.695842i | ||||
\(951\) | 41.2871 | 1.33882 | ||||||||
\(952\) | −1.03691 | − | 9.86550i | −0.0336063 | − | 0.319743i | ||||
\(953\) | −13.0205 | − | 14.4607i | −0.421774 | − | 0.468428i | 0.494385 | − | 0.869243i | \(-0.335393\pi\) |
−0.916159 | + | 0.400816i | \(0.868727\pi\) | |||||||
\(954\) | 8.67255 | − | 1.84341i | 0.280784 | − | 0.0596825i | ||||
\(955\) | −2.42556 | − | 3.59306i | −0.0784894 | − | 0.116269i | ||||
\(956\) | −15.8861 | + | 17.6433i | −0.513793 | + | 0.570625i | ||||
\(957\) | −0.411667 | −0.0133073 | ||||||||
\(958\) | −6.85090 | − | 21.0849i | −0.221343 | − | 0.681223i | ||||
\(959\) | −5.57756 | + | 53.0669i | −0.180109 | + | 1.71362i | ||||
\(960\) | 2.84343 | + | 1.77525i | 0.0917713 | + | 0.0572958i | ||||
\(961\) | 18.0708 | − | 13.1292i | 0.582930 | − | 0.423524i | ||||
\(962\) | 10.7854 | + | 7.83606i | 0.347736 | + | 0.252645i | ||||
\(963\) | 1.02760 | − | 9.77699i | 0.0331141 | − | 0.315059i | ||||
\(964\) | −1.19392 | − | 11.3594i | −0.0384536 | − | 0.365862i | ||||
\(965\) | 15.0774 | − | 12.6614i | 0.485360 | − | 0.407585i | ||||
\(966\) | −35.1193 | + | 15.6361i | −1.12995 | + | 0.503084i | ||||
\(967\) | −45.6273 | − | 9.69839i | −1.46728 | − | 0.311879i | −0.596124 | − | 0.802892i | \(-0.703293\pi\) |
−0.871152 | + | 0.491013i | \(0.836627\pi\) | |||||||
\(968\) | −10.9917 | −0.353287 | ||||||||
\(969\) | 14.2835 | + | 10.4866i | 0.458852 | + | 0.336877i | ||||
\(970\) | −17.3389 | + | 9.22782i | −0.556717 | + | 0.296287i | ||||
\(971\) | −6.32959 | − | 7.02973i | −0.203126 | − | 0.225595i | 0.632971 | − | 0.774175i | \(-0.281835\pi\) |
−0.836098 | + | 0.548581i | \(0.815168\pi\) | |||||||
\(972\) | −5.09836 | − | 5.66231i | −0.163530 | − | 0.181619i | ||||
\(973\) | 42.5856 | + | 18.9603i | 1.36523 | + | 0.607840i | ||||
\(974\) | −13.6531 | + | 23.6479i | −0.437474 | + | 0.757727i | ||||
\(975\) | −32.4242 | − | 2.24218i | −1.03841 | − | 0.0718071i | ||||
\(976\) | 5.23503 | 0.167569 | ||||||||
\(977\) | 12.0790 | − | 8.77594i | 0.386443 | − | 0.280767i | −0.377554 | − | 0.925988i | \(-0.623235\pi\) |
0.763996 | + | 0.645221i | \(0.223235\pi\) | |||||||
\(978\) | 21.6076 | − | 4.59283i | 0.690934 | − | 0.146862i | ||||
\(979\) | 0.541747 | − | 0.115152i | 0.0173143 | − | 0.00368027i | ||||
\(980\) | −14.1321 | − | 1.98058i | −0.451435 | − | 0.0632674i | ||||
\(981\) | −0.441857 | − | 1.35990i | −0.0141074 | − | 0.0434182i | ||||
\(982\) | 10.6928 | + | 18.5205i | 0.341222 | + | 0.591013i | ||||
\(983\) | −21.0213 | − | 4.46822i | −0.670476 | − | 0.142514i | −0.139918 | − | 0.990163i | \(-0.544684\pi\) |
−0.530557 | + | 0.847649i | \(0.678017\pi\) | |||||||
\(984\) | −1.45597 | + | 13.8527i | −0.0464147 | + | 0.441607i | ||||
\(985\) | 1.05349 | − | 1.34948i | 0.0335669 | − | 0.0429979i | ||||
\(986\) | 0.854360 | + | 8.12869i | 0.0272084 | + | 0.258870i | ||||
\(987\) | −0.156768 | − | 0.113898i | −0.00498997 | − | 0.00362543i | ||||
\(988\) | −9.36882 | − | 16.4154i | −0.298062 | − | 0.522243i | ||||
\(989\) | −1.84892 | + | 1.34332i | −0.0587923 | + | 0.0427151i | ||||
\(990\) | 0.147382 | − | 0.0423227i | 0.00468411 | − | 0.00134510i | ||||
\(991\) | −41.3113 | + | 18.3930i | −1.31230 | + | 0.584273i | −0.939153 | − | 0.343500i | \(-0.888387\pi\) |
−0.373145 | + | 0.927773i | \(0.621721\pi\) | |||||||
\(992\) | 1.96947 | − | 2.18732i | 0.0625309 | − | 0.0694476i | ||||
\(993\) | −7.28292 | + | 12.6144i | −0.231116 | + | 0.400305i | ||||
\(994\) | −21.6770 | + | 24.0747i | −0.687552 | + | 0.763603i | ||||
\(995\) | −3.66419 | − | 20.7339i | −0.116163 | − | 0.657308i | ||||
\(996\) | −1.46750 | + | 4.51649i | −0.0464994 | + | 0.143111i | ||||
\(997\) | 13.6470 | − | 2.90075i | 0.432203 | − | 0.0918677i | 0.0133276 | − | 0.999911i | \(-0.495758\pi\) |
0.418876 | + | 0.908044i | \(0.362424\pi\) | |||||||
\(998\) | 29.4368 | + | 13.1061i | 0.931805 | + | 0.414866i | ||||
\(999\) | 17.2962 | 0.547227 |
(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 | 950.2.r.b.11.8 | ✓ | 200 | |
19.7 | even | 3 | inner | 950.2.r.b.311.18 | yes | 200 | |
25.16 | even | 5 | inner | 950.2.r.b.391.18 | yes | 200 | |
475.216 | even | 15 | inner | 950.2.r.b.691.8 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.r.b.11.8 | ✓ | 200 | 1.1 | even | 1 | trivial | |
950.2.r.b.311.18 | yes | 200 | 19.7 | even | 3 | inner | |
950.2.r.b.391.18 | yes | 200 | 25.16 | even | 5 | inner | |
950.2.r.b.691.8 | yes | 200 | 475.216 | even | 15 | inner |