Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [57,2,Mod(2,57)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(57, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("57.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 57 = 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 57.j (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: | \(0.455147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.4 | ||
Character | \(\chi\) | \(=\) | 57.41 |
Dual form | 57.2.j.b.32.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(40\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.49833 | + | 1.25725i | 1.05948 | + | 0.889010i | 0.994058 | − | 0.108847i | \(-0.0347160\pi\) |
0.0654227 | + | 0.997858i | \(0.479160\pi\) | |||||||
\(3\) | −1.72716 | + | 0.130112i | −0.997174 | + | 0.0751202i | ||||
\(4\) | 0.317026 | + | 1.79794i | 0.158513 | + | 0.898972i | ||||
\(5\) | 0.487091 | + | 0.0858872i | 0.217834 | + | 0.0384099i | 0.281500 | − | 0.959561i | \(-0.409168\pi\) |
−0.0636661 | + | 0.997971i | \(0.520279\pi\) | |||||||
\(6\) | −2.75144 | − | 1.97652i | −1.12327 | − | 0.806910i | ||||
\(7\) | −0.969730 | − | 1.67962i | −0.366523 | − | 0.634837i | 0.622496 | − | 0.782623i | \(-0.286119\pi\) |
−0.989019 | + | 0.147786i | \(0.952785\pi\) | |||||||
\(8\) | 0.170480 | − | 0.295279i | 0.0602737 | − | 0.104397i | ||||
\(9\) | 2.96614 | − | 0.449448i | 0.988714 | − | 0.149816i | ||||
\(10\) | 0.621842 | + | 0.741083i | 0.196644 | + | 0.234351i | ||||
\(11\) | −3.99257 | − | 2.30511i | −1.20380 | − | 0.695016i | −0.242405 | − | 0.970175i | \(-0.577936\pi\) |
−0.961399 | + | 0.275159i | \(0.911270\pi\) | |||||||
\(12\) | −0.781488 | − | 3.06408i | −0.225596 | − | 0.884524i | ||||
\(13\) | −1.79223 | + | 4.92410i | −0.497074 | + | 1.36570i | 0.397016 | + | 0.917812i | \(0.370046\pi\) |
−0.894090 | + | 0.447887i | \(0.852177\pi\) | |||||||
\(14\) | 0.658727 | − | 3.73582i | 0.176052 | − | 0.998441i | ||||
\(15\) | −0.852457 | − | 0.0849643i | −0.220103 | − | 0.0219377i | ||||
\(16\) | 4.05783 | − | 1.47693i | 1.01446 | − | 0.369232i | ||||
\(17\) | −1.61629 | + | 1.92622i | −0.392008 | + | 0.467177i | −0.925566 | − | 0.378587i | \(-0.876410\pi\) |
0.533558 | + | 0.845764i | \(0.320855\pi\) | |||||||
\(18\) | 5.00934 | + | 3.05576i | 1.18071 | + | 0.720250i | ||||
\(19\) | 2.80139 | + | 3.33949i | 0.642684 | + | 0.766132i | ||||
\(20\) | 0.902990i | 0.201915i | ||||||||
\(21\) | 1.89341 | + | 2.77480i | 0.413177 | + | 0.605510i | ||||
\(22\) | −3.08409 | − | 8.47347i | −0.657531 | − | 1.80655i | ||||
\(23\) | 3.35200 | − | 0.591048i | 0.698940 | − | 0.123242i | 0.187123 | − | 0.982336i | \(-0.440084\pi\) |
0.511817 | + | 0.859094i | \(0.328973\pi\) | |||||||
\(24\) | −0.256026 | + | 0.532175i | −0.0522610 | + | 0.108630i | ||||
\(25\) | −4.46858 | − | 1.62643i | −0.893716 | − | 0.325286i | ||||
\(26\) | −8.87617 | + | 5.12466i | −1.74076 | + | 1.00503i | ||||
\(27\) | −5.06451 | + | 1.16220i | −0.974666 | + | 0.223665i | ||||
\(28\) | 2.71243 | − | 2.27600i | 0.512602 | − | 0.430124i | ||||
\(29\) | 0.872266 | − | 0.731918i | 0.161976 | − | 0.135914i | −0.558197 | − | 0.829708i | \(-0.688507\pi\) |
0.720173 | + | 0.693794i | \(0.244062\pi\) | |||||||
\(30\) | −1.17044 | − | 1.19906i | −0.213693 | − | 0.218917i | ||||
\(31\) | −1.31458 | + | 0.758971i | −0.236105 | + | 0.136315i | −0.613385 | − | 0.789784i | \(-0.710193\pi\) |
0.377280 | + | 0.926099i | \(0.376859\pi\) | |||||||
\(32\) | 7.29606 | + | 2.65555i | 1.28977 | + | 0.469439i | ||||
\(33\) | 7.19571 | + | 3.46180i | 1.25261 | + | 0.602623i | ||||
\(34\) | −4.84348 | + | 0.854036i | −0.830650 | + | 0.146466i | ||||
\(35\) | −0.328088 | − | 0.901415i | −0.0554570 | − | 0.152367i | ||||
\(36\) | 1.74843 | + | 5.19047i | 0.291404 | + | 0.865078i | ||||
\(37\) | − | 3.28109i | − | 0.539408i | −0.962943 | − | 0.269704i | \(-0.913074\pi\) | ||
0.962943 | − | 0.269704i | \(-0.0869259\pi\) | |||||||
\(38\) | −0.00115627 | + | 8.52572i | −0.000187572 | + | 1.38305i | ||||
\(39\) | 2.45477 | − | 8.73788i | 0.393078 | − | 1.39918i | ||||
\(40\) | 0.108400 | − | 0.129186i | 0.0171395 | − | 0.0204261i | ||||
\(41\) | 9.40408 | − | 3.42281i | 1.46867 | − | 0.534552i | 0.520932 | − | 0.853598i | \(-0.325585\pi\) |
0.947739 | + | 0.319046i | \(0.103362\pi\) | |||||||
\(42\) | −0.651648 | + | 6.53806i | −0.100552 | + | 1.00884i | ||||
\(43\) | −0.829591 | + | 4.70484i | −0.126511 | + | 0.717482i | 0.853887 | + | 0.520458i | \(0.174239\pi\) |
−0.980399 | + | 0.197024i | \(0.936872\pi\) | |||||||
\(44\) | 2.87871 | − | 7.90919i | 0.433982 | − | 1.19235i | ||||
\(45\) | 1.48338 | + | 0.0358318i | 0.221129 | + | 0.00534149i | ||||
\(46\) | 5.76551 | + | 3.32872i | 0.850078 | + | 0.490793i | ||||
\(47\) | −3.82673 | − | 4.56052i | −0.558186 | − | 0.665220i | 0.410976 | − | 0.911646i | \(-0.365188\pi\) |
−0.969162 | + | 0.246426i | \(0.920744\pi\) | |||||||
\(48\) | −6.81634 | + | 3.07886i | −0.983854 | + | 0.444395i | ||||
\(49\) | 1.61925 | − | 2.80462i | 0.231321 | − | 0.400660i | ||||
\(50\) | −4.65059 | − | 8.05506i | −0.657693 | − | 1.13916i | ||||
\(51\) | 2.54096 | − | 3.53718i | 0.355806 | − | 0.495305i | ||||
\(52\) | −9.42143 | − | 1.66125i | −1.30652 | − | 0.230374i | ||||
\(53\) | 1.71646 | + | 9.73455i | 0.235774 | + | 1.33714i | 0.840977 | + | 0.541071i | \(0.181981\pi\) |
−0.605202 | + | 0.796072i | \(0.706908\pi\) | |||||||
\(54\) | −9.04950 | − | 4.62600i | −1.23148 | − | 0.629519i | ||||
\(55\) | −1.74676 | − | 1.46571i | −0.235533 | − | 0.197636i | ||||
\(56\) | −0.661277 | −0.0883668 | ||||||||
\(57\) | −5.27295 | − | 5.40333i | −0.698420 | − | 0.715688i | ||||
\(58\) | 2.22715 | 0.292439 | ||||||||
\(59\) | −0.172251 | − | 0.144536i | −0.0224252 | − | 0.0188170i | 0.631506 | − | 0.775371i | \(-0.282437\pi\) |
−0.653931 | + | 0.756554i | \(0.726881\pi\) | |||||||
\(60\) | −0.117490 | − | 1.55961i | −0.0151679 | − | 0.201344i | ||||
\(61\) | −1.90402 | − | 10.7982i | −0.243785 | − | 1.38257i | −0.823298 | − | 0.567610i | \(-0.807868\pi\) |
0.579513 | − | 0.814963i | \(-0.303243\pi\) | |||||||
\(62\) | −2.92389 | − | 0.515560i | −0.371334 | − | 0.0654762i | ||||
\(63\) | −3.63126 | − | 4.54615i | −0.457495 | − | 0.572761i | ||||
\(64\) | 3.27498 | + | 5.67243i | 0.409372 | + | 0.709054i | ||||
\(65\) | −1.29589 | + | 2.24455i | −0.160736 | + | 0.278402i | ||||
\(66\) | 6.42921 | + | 14.2337i | 0.791381 | + | 1.75205i | ||||
\(67\) | 0.266197 | + | 0.317241i | 0.0325211 | + | 0.0387572i | 0.782060 | − | 0.623203i | \(-0.214169\pi\) |
−0.749539 | + | 0.661960i | \(0.769725\pi\) | |||||||
\(68\) | −3.97564 | − | 2.29534i | −0.482117 | − | 0.278350i | ||||
\(69\) | −5.71253 | + | 1.45697i | −0.687708 | + | 0.175398i | ||||
\(70\) | 0.641719 | − | 1.76311i | 0.0767001 | − | 0.210732i | ||||
\(71\) | 0.540928 | − | 3.06775i | 0.0641963 | − | 0.364075i | −0.935739 | − | 0.352694i | \(-0.885266\pi\) |
0.999935 | − | 0.0113819i | \(-0.00362306\pi\) | |||||||
\(72\) | 0.372954 | − | 0.952462i | 0.0439531 | − | 0.112249i | ||||
\(73\) | −0.118214 | + | 0.0430264i | −0.0138359 | + | 0.00503586i | −0.348929 | − | 0.937149i | \(-0.613455\pi\) |
0.335093 | + | 0.942185i | \(0.391232\pi\) | |||||||
\(74\) | 4.12516 | − | 4.91617i | 0.479540 | − | 0.571493i | ||||
\(75\) | 7.92956 | + | 2.22768i | 0.915627 | + | 0.257231i | ||||
\(76\) | −5.11610 | + | 6.09545i | −0.586857 | + | 0.699196i | ||||
\(77\) | 8.94133i | 1.01896i | ||||||||
\(78\) | 14.6638 | − | 10.0060i | 1.66034 | − | 1.13296i | ||||
\(79\) | 4.94012 | + | 13.5729i | 0.555807 | + | 1.52707i | 0.825661 | + | 0.564167i | \(0.190802\pi\) |
−0.269854 | + | 0.962901i | \(0.586975\pi\) | |||||||
\(80\) | 2.10338 | − | 0.370883i | 0.235165 | − | 0.0414660i | ||||
\(81\) | 8.59599 | − | 2.66625i | 0.955110 | − | 0.296250i | ||||
\(82\) | 18.3938 | + | 6.69478i | 2.03125 | + | 0.739315i | ||||
\(83\) | −6.05130 | + | 3.49372i | −0.664217 | + | 0.383486i | −0.793882 | − | 0.608072i | \(-0.791943\pi\) |
0.129665 | + | 0.991558i | \(0.458610\pi\) | |||||||
\(84\) | −4.38866 | + | 4.28393i | −0.478842 | + | 0.467415i | ||||
\(85\) | −0.952717 | + | 0.799425i | −0.103337 | + | 0.0867098i | ||||
\(86\) | −7.15817 | + | 6.00642i | −0.771885 | + | 0.647689i | ||||
\(87\) | −1.41131 | + | 1.37763i | −0.151308 | + | 0.147697i | ||||
\(88\) | −1.36130 | + | 0.785948i | −0.145115 | + | 0.0837824i | ||||
\(89\) | −5.32595 | − | 1.93849i | −0.564549 | − | 0.205479i | 0.0439498 | − | 0.999034i | \(-0.486006\pi\) |
−0.608499 | + | 0.793555i | \(0.708228\pi\) | |||||||
\(90\) | 2.17755 | + | 1.91867i | 0.229534 | + | 0.202246i | ||||
\(91\) | 10.0086 | − | 1.76478i | 1.04919 | − | 0.185000i | ||||
\(92\) | 2.12534 | + | 5.83933i | 0.221582 | + | 0.608792i | ||||
\(93\) | 2.17173 | − | 1.48190i | 0.225198 | − | 0.153666i | ||||
\(94\) | − | 11.6443i | − | 1.20102i | ||||||
\(95\) | 1.07771 | + | 1.86724i | 0.110571 | + | 0.191575i | ||||
\(96\) | −12.9470 | − | 3.63724i | −1.32139 | − | 0.371224i | ||||
\(97\) | −4.49760 | + | 5.36003i | −0.456662 | + | 0.544229i | −0.944416 | − | 0.328752i | \(-0.893372\pi\) |
0.487754 | + | 0.872981i | \(0.337816\pi\) | |||||||
\(98\) | 5.95229 | − | 2.16645i | 0.601272 | − | 0.218845i | ||||
\(99\) | −12.8785 | − | 5.04283i | −1.29434 | − | 0.506823i | ||||
\(100\) | 1.50757 | − | 8.54988i | 0.150757 | − | 0.854988i | ||||
\(101\) | 3.72167 | − | 10.2252i | 0.370320 | − | 1.01745i | −0.604918 | − | 0.796288i | \(-0.706794\pi\) |
0.975238 | − | 0.221158i | \(-0.0709836\pi\) | |||||||
\(102\) | 8.25433 | − | 2.10525i | 0.817300 | − | 0.208451i | ||||
\(103\) | −2.06571 | − | 1.19264i | −0.203540 | − | 0.117514i | 0.394766 | − | 0.918782i | \(-0.370826\pi\) |
−0.598306 | + | 0.801268i | \(0.704159\pi\) | |||||||
\(104\) | 1.14845 | + | 1.36867i | 0.112614 | + | 0.134209i | ||||
\(105\) | 0.683945 | + | 1.51420i | 0.0667462 | + | 0.147770i | ||||
\(106\) | −9.66693 | + | 16.7436i | −0.938935 | + | 1.62628i | ||||
\(107\) | 4.30693 | + | 7.45983i | 0.416367 | + | 0.721169i | 0.995571 | − | 0.0940139i | \(-0.0299698\pi\) |
−0.579204 | + | 0.815183i | \(0.696636\pi\) | |||||||
\(108\) | −3.69515 | − | 8.73726i | −0.355566 | − | 0.840743i | ||||
\(109\) | −4.49188 | − | 0.792039i | −0.430244 | − | 0.0758636i | −0.0456672 | − | 0.998957i | \(-0.514541\pi\) |
−0.384576 | + | 0.923093i | \(0.625652\pi\) | |||||||
\(110\) | −0.774469 | − | 4.39223i | −0.0738428 | − | 0.418783i | ||||
\(111\) | 0.426910 | + | 5.66696i | 0.0405205 | + | 0.537884i | ||||
\(112\) | −6.41568 | − | 5.38339i | −0.606225 | − | 0.508683i | ||||
\(113\) | −8.90791 | −0.837985 | −0.418993 | − | 0.907990i | \(-0.637617\pi\) | ||||
−0.418993 | + | 0.907990i | \(0.637617\pi\) | |||||||
\(114\) | −1.10730 | − | 14.7254i | −0.103708 | − | 1.37916i | ||||
\(115\) | 1.68349 | 0.156986 | ||||||||
\(116\) | 1.59248 | + | 1.33625i | 0.147858 | + | 0.124067i | ||||
\(117\) | −3.10287 | + | 15.4111i | −0.286860 | + | 1.42476i | ||||
\(118\) | −0.0763718 | − | 0.433126i | −0.00703059 | − | 0.0398725i | ||||
\(119\) | 4.80268 | + | 0.846843i | 0.440261 | + | 0.0776299i | ||||
\(120\) | −0.170415 | + | 0.237228i | −0.0155567 | + | 0.0216559i | ||||
\(121\) | 5.12705 | + | 8.88031i | 0.466096 | + | 0.807301i | ||||
\(122\) | 10.7232 | − | 18.5732i | 0.970836 | − | 1.68154i | ||||
\(123\) | −15.7970 | + | 7.13531i | −1.42437 | + | 0.643369i | ||||
\(124\) | −1.78134 | − | 2.12292i | −0.159969 | − | 0.190644i | ||||
\(125\) | −4.17862 | − | 2.41253i | −0.373747 | − | 0.215783i | ||||
\(126\) | 0.274818 | − | 11.3770i | 0.0244827 | − | 1.01355i | ||||
\(127\) | 2.91821 | − | 8.01772i | 0.258949 | − | 0.711458i | −0.740283 | − | 0.672295i | \(-0.765309\pi\) |
0.999233 | − | 0.0391627i | \(-0.0124691\pi\) | |||||||
\(128\) | 0.471857 | − | 2.67603i | 0.0417066 | − | 0.236530i | ||||
\(129\) | 0.820676 | − | 8.23394i | 0.0722565 | − | 0.724958i | ||||
\(130\) | −4.76364 | + | 1.73382i | −0.417799 | + | 0.152066i | ||||
\(131\) | −9.62927 | + | 11.4757i | −0.841313 | + | 1.00264i | 0.158570 | + | 0.987348i | \(0.449312\pi\) |
−0.999883 | + | 0.0152905i | \(0.995133\pi\) | |||||||
\(132\) | −3.94290 | + | 14.0350i | −0.343185 | + | 1.22159i | ||||
\(133\) | 2.89248 | − | 7.94368i | 0.250810 | − | 0.688805i | ||||
\(134\) | 0.810009i | 0.0699741i | ||||||||
\(135\) | −2.56669 | + | 0.131119i | −0.220906 | + | 0.0112849i | ||||
\(136\) | 0.293228 | + | 0.805638i | 0.0251441 | + | 0.0690829i | ||||
\(137\) | 1.81606 | − | 0.320220i | 0.155157 | − | 0.0273583i | −0.0955303 | − | 0.995427i | \(-0.530455\pi\) |
0.250687 | + | 0.968068i | \(0.419344\pi\) | |||||||
\(138\) | −10.3910 | − | 4.99906i | −0.884544 | − | 0.425548i | ||||
\(139\) | 3.82337 | + | 1.39159i | 0.324294 | + | 0.118033i | 0.499037 | − | 0.866581i | \(-0.333687\pi\) |
−0.174743 | + | 0.984614i | \(0.555909\pi\) | |||||||
\(140\) | 1.51668 | − | 0.875656i | 0.128183 | − | 0.0740064i | ||||
\(141\) | 7.20274 | + | 7.37883i | 0.606580 | + | 0.621409i | ||||
\(142\) | 4.66743 | − | 3.91643i | 0.391682 | − | 0.328660i | ||||
\(143\) | 18.5062 | − | 15.5285i | 1.54756 | − | 1.29856i | ||||
\(144\) | 11.3723 | − | 6.20457i | 0.947691 | − | 0.517047i | ||||
\(145\) | 0.487735 | − | 0.281594i | 0.0405042 | − | 0.0233851i | ||||
\(146\) | −0.231219 | − | 0.0841568i | −0.0191358 | − | 0.00696486i | ||||
\(147\) | −2.43178 | + | 5.05471i | −0.200570 | + | 0.416905i | ||||
\(148\) | 5.89922 | − | 1.04019i | 0.484913 | − | 0.0855032i | ||||
\(149\) | 1.40291 | + | 3.85446i | 0.114931 | + | 0.315770i | 0.983799 | − | 0.179273i | \(-0.0573746\pi\) |
−0.868869 | + | 0.495043i | \(0.835152\pi\) | |||||||
\(150\) | 9.08036 | + | 13.3073i | 0.741409 | + | 1.08653i | ||||
\(151\) | − | 21.1107i | − | 1.71796i | −0.512006 | − | 0.858982i | \(-0.671098\pi\) | ||
0.512006 | − | 0.858982i | \(-0.328902\pi\) | |||||||
\(152\) | 1.46366 | − | 0.257879i | 0.118719 | − | 0.0209167i | ||||
\(153\) | −3.92841 | + | 6.43988i | −0.317593 | + | 0.520633i | ||||
\(154\) | −11.2415 | + | 13.3971i | −0.905865 | + | 1.07957i | ||||
\(155\) | −0.705503 | + | 0.256782i | −0.0566674 | + | 0.0206252i | ||||
\(156\) | 16.4884 | + | 1.64340i | 1.32013 | + | 0.131577i | ||||
\(157\) | −1.07553 | + | 6.09962i | −0.0858364 | + | 0.486803i | 0.911337 | + | 0.411662i | \(0.135052\pi\) |
−0.997173 | + | 0.0751405i | \(0.976059\pi\) | |||||||
\(158\) | −9.66256 | + | 26.5477i | −0.768712 | + | 2.11202i | ||||
\(159\) | −4.23118 | − | 16.5898i | −0.335555 | − | 1.31565i | ||||
\(160\) | 3.32576 | + | 1.92013i | 0.262925 | + | 0.151800i | ||||
\(161\) | −4.24327 | − | 5.05693i | −0.334417 | − | 0.398542i | ||||
\(162\) | 16.2318 | + | 6.81238i | 1.27529 | + | 0.535231i | ||||
\(163\) | −0.853080 | + | 1.47758i | −0.0668184 | + | 0.115733i | −0.897499 | − | 0.441016i | \(-0.854618\pi\) |
0.830681 | + | 0.556749i | \(0.187951\pi\) | |||||||
\(164\) | 9.13535 | + | 15.8229i | 0.713351 | + | 1.23556i | ||||
\(165\) | 3.20764 | + | 2.30423i | 0.249714 | + | 0.179384i | ||||
\(166\) | −13.4593 | − | 2.37325i | −1.04465 | − | 0.184200i | ||||
\(167\) | −0.922825 | − | 5.23360i | −0.0714104 | − | 0.404988i | −0.999470 | − | 0.0325564i | \(-0.989635\pi\) |
0.928060 | − | 0.372432i | \(-0.121476\pi\) | |||||||
\(168\) | 1.14213 | − | 0.0860401i | 0.0881171 | − | 0.00663814i | ||||
\(169\) | −11.0761 | − | 9.29394i | −0.852007 | − | 0.714919i | ||||
\(170\) | −2.43256 | −0.186569 | ||||||||
\(171\) | 9.81026 | + | 8.64632i | 0.750209 | + | 0.661201i | ||||
\(172\) | −8.72204 | −0.665049 | ||||||||
\(173\) | −8.83296 | − | 7.41174i | −0.671558 | − | 0.563504i | 0.241968 | − | 0.970284i | \(-0.422207\pi\) |
−0.913526 | + | 0.406780i | \(0.866651\pi\) | |||||||
\(174\) | −3.84663 | + | 0.289779i | −0.291613 | + | 0.0219681i | ||||
\(175\) | 1.60153 | + | 9.08272i | 0.121064 | + | 0.686589i | ||||
\(176\) | −19.6056 | − | 3.45700i | −1.47783 | − | 0.260581i | ||||
\(177\) | 0.316311 | + | 0.227224i | 0.0237754 | + | 0.0170792i | ||||
\(178\) | −5.54288 | − | 9.60055i | −0.415456 | − | 0.719591i | ||||
\(179\) | −8.87880 | + | 15.3785i | −0.663633 | + | 1.14945i | 0.316021 | + | 0.948752i | \(0.397653\pi\) |
−0.979654 | + | 0.200694i | \(0.935680\pi\) | |||||||
\(180\) | 0.405847 | + | 2.67840i | 0.0302500 | + | 0.199636i | ||||
\(181\) | −7.50836 | − | 8.94811i | −0.558092 | − | 0.665108i | 0.411050 | − | 0.911613i | \(-0.365162\pi\) |
−0.969142 | + | 0.246505i | \(0.920718\pi\) | |||||||
\(182\) | 17.2150 | + | 9.93907i | 1.27606 | + | 0.736733i | ||||
\(183\) | 4.69352 | + | 18.4025i | 0.346955 | + | 1.36035i | ||||
\(184\) | 0.396924 | − | 1.09054i | 0.0292616 | − | 0.0803956i | ||||
\(185\) | 0.281804 | − | 1.59819i | 0.0207186 | − | 0.117501i | ||||
\(186\) | 5.11709 | + | 0.510020i | 0.375203 | + | 0.0373965i | ||||
\(187\) | 10.8933 | − | 3.96483i | 0.796596 | − | 0.289937i | ||||
\(188\) | 6.98638 | − | 8.32605i | 0.509534 | − | 0.607239i | ||||
\(189\) | 6.86326 | + | 7.37944i | 0.499229 | + | 0.536776i | ||||
\(190\) | −0.732814 | + | 4.15270i | −0.0531639 | + | 0.301268i | ||||
\(191\) | − | 2.85848i | − | 0.206833i | −0.994638 | − | 0.103416i | \(-0.967023\pi\) | ||
0.994638 | − | 0.103416i | \(-0.0329774\pi\) | |||||||
\(192\) | −6.39445 | − | 9.37106i | −0.461480 | − | 0.676298i | ||||
\(193\) | −2.56804 | − | 7.05562i | −0.184851 | − | 0.507875i | 0.812305 | − | 0.583232i | \(-0.198212\pi\) |
−0.997157 | + | 0.0753578i | \(0.975990\pi\) | |||||||
\(194\) | −13.4778 | + | 2.37650i | −0.967650 | + | 0.170623i | ||||
\(195\) | 1.94617 | − | 4.04531i | 0.139368 | − | 0.289690i | ||||
\(196\) | 5.55590 | + | 2.02218i | 0.396850 | + | 0.144441i | ||||
\(197\) | 13.9117 | − | 8.03191i | 0.991165 | − | 0.572250i | 0.0855430 | − | 0.996334i | \(-0.472737\pi\) |
0.905622 | + | 0.424085i | \(0.139404\pi\) | |||||||
\(198\) | −12.9562 | − | 23.7474i | −0.920760 | − | 1.68765i | ||||
\(199\) | 4.85208 | − | 4.07138i | 0.343955 | − | 0.288612i | −0.454402 | − | 0.890797i | \(-0.650147\pi\) |
0.798357 | + | 0.602184i | \(0.205703\pi\) | |||||||
\(200\) | −1.24205 | + | 1.04221i | −0.0878265 | + | 0.0736952i | ||||
\(201\) | −0.501041 | − | 0.513290i | −0.0353407 | − | 0.0362047i | ||||
\(202\) | 18.4319 | − | 10.6417i | 1.29687 | − | 0.748746i | ||||
\(203\) | −2.07521 | − | 0.755313i | −0.145651 | − | 0.0530126i | ||||
\(204\) | 7.16520 | + | 3.44713i | 0.501665 | + | 0.241347i | ||||
\(205\) | 4.87462 | − | 0.859526i | 0.340458 | − | 0.0600319i | ||||
\(206\) | −1.59567 | − | 4.38407i | −0.111176 | − | 0.305453i | ||||
\(207\) | 9.67686 | − | 3.25968i | 0.672589 | − | 0.226564i | ||||
\(208\) | 22.6281i | 1.56898i | ||||||||
\(209\) | −3.48686 | − | 19.7906i | −0.241191 | − | 1.36895i | ||||
\(210\) | −0.878948 | + | 3.12866i | −0.0606532 | + | 0.215898i | ||||
\(211\) | −7.05933 | + | 8.41298i | −0.485984 | + | 0.579174i | −0.952191 | − | 0.305502i | \(-0.901176\pi\) |
0.466207 | + | 0.884676i | \(0.345620\pi\) | |||||||
\(212\) | −16.9580 | + | 6.17221i | −1.16468 | + | 0.423909i | ||||
\(213\) | −0.535115 | + | 5.36887i | −0.0366655 | + | 0.367869i | ||||
\(214\) | −2.92565 | + | 16.5922i | −0.199994 | + | 1.13422i | ||||
\(215\) | −0.808172 | + | 2.22043i | −0.0551168 | + | 0.151432i | ||||
\(216\) | −0.520223 | + | 1.69358i | −0.0353967 | + | 0.115233i | ||||
\(217\) | 2.54957 | + | 1.47199i | 0.173076 | + | 0.0999254i | ||||
\(218\) | −5.73453 | − | 6.83415i | −0.388392 | − | 0.462867i | ||||
\(219\) | 0.198576 | − | 0.0896944i | 0.0134185 | − | 0.00606098i | ||||
\(220\) | 2.08149 | − | 3.60525i | 0.140334 | − | 0.243066i | ||||
\(221\) | −6.58814 | − | 11.4110i | −0.443166 | − | 0.767586i | ||||
\(222\) | −6.48514 | + | 9.02773i | −0.435254 | + | 0.605901i | ||||
\(223\) | 23.0897 | + | 4.07134i | 1.54620 | + | 0.272637i | 0.880669 | − | 0.473732i | \(-0.157093\pi\) |
0.665532 | + | 0.746369i | \(0.268205\pi\) | |||||||
\(224\) | −2.61489 | − | 14.8298i | −0.174715 | − | 0.990856i | ||||
\(225\) | −13.9854 | − | 2.81583i | −0.932363 | − | 0.187722i | ||||
\(226\) | −13.3470 | − | 11.1995i | −0.887830 | − | 0.744978i | ||||
\(227\) | 0.844414 | 0.0560457 | 0.0280229 | − | 0.999607i | \(-0.491079\pi\) | ||||
0.0280229 | + | 0.999607i | \(0.491079\pi\) | |||||||
\(228\) | 8.04322 | − | 11.1935i | 0.532675 | − | 0.741306i | ||||
\(229\) | 6.53705 | 0.431981 | 0.215990 | − | 0.976395i | \(-0.430702\pi\) | ||||
0.215990 | + | 0.976395i | \(0.430702\pi\) | |||||||
\(230\) | 2.52243 | + | 2.11657i | 0.166324 | + | 0.139563i | ||||
\(231\) | −1.16337 | − | 15.4431i | −0.0765444 | − | 1.01608i | ||||
\(232\) | −0.0674167 | − | 0.382339i | −0.00442613 | − | 0.0251018i | ||||
\(233\) | 26.4558 | + | 4.66487i | 1.73318 | + | 0.305606i | 0.949081 | − | 0.315033i | \(-0.102016\pi\) |
0.784096 | + | 0.620639i | \(0.213127\pi\) | |||||||
\(234\) | −24.0247 | + | 19.1898i | −1.57055 | + | 1.25448i | ||||
\(235\) | −1.47227 | − | 2.55005i | −0.0960406 | − | 0.166347i | ||||
\(236\) | 0.205259 | − | 0.355519i | 0.0133612 | − | 0.0231423i | ||||
\(237\) | −10.2984 | − | 22.7997i | −0.668951 | − | 1.48100i | ||||
\(238\) | 6.13132 | + | 7.30703i | 0.397435 | + | 0.473644i | ||||
\(239\) | 19.6545 | + | 11.3476i | 1.27135 | + | 0.734012i | 0.975241 | − | 0.221143i | \(-0.0709789\pi\) |
0.296105 | + | 0.955155i | \(0.404312\pi\) | |||||||
\(240\) | −3.58461 | + | 0.914248i | −0.231386 | + | 0.0590144i | ||||
\(241\) | −8.49003 | + | 23.3262i | −0.546891 | + | 1.50257i | 0.290994 | + | 0.956725i | \(0.406014\pi\) |
−0.837885 | + | 0.545846i | \(0.816208\pi\) | |||||||
\(242\) | −3.48275 | + | 19.7517i | −0.223880 | + | 1.26968i | ||||
\(243\) | −14.4997 | + | 5.72348i | −0.930157 | + | 0.367161i | ||||
\(244\) | 18.8110 | − | 6.84664i | 1.20425 | − | 0.438312i | ||||
\(245\) | 1.02960 | − | 1.22703i | 0.0657789 | − | 0.0783922i | ||||
\(246\) | −32.6400 | − | 9.16969i | −2.08105 | − | 0.584638i | ||||
\(247\) | −21.4647 | + | 7.80922i | −1.36577 | + | 0.496889i | ||||
\(248\) | 0.517556i | 0.0328649i | ||||||||
\(249\) | 9.99697 | − | 6.82155i | 0.633532 | − | 0.432298i | ||||
\(250\) | −3.22781 | − | 8.86833i | −0.204145 | − | 0.560883i | ||||
\(251\) | 15.8837 | − | 2.80072i | 1.00257 | − | 0.176780i | 0.351815 | − | 0.936070i | \(-0.385565\pi\) |
0.650753 | + | 0.759290i | \(0.274453\pi\) | |||||||
\(252\) | 7.02252 | − | 7.97004i | 0.442377 | − | 0.502066i | ||||
\(253\) | −14.7455 | − | 5.36693i | −0.927042 | − | 0.337416i | ||||
\(254\) | 14.4527 | − | 8.34429i | 0.906845 | − | 0.523567i | ||||
\(255\) | 1.54148 | − | 1.50469i | 0.0965311 | − | 0.0942275i | ||||
\(256\) | 14.1066 | − | 11.8368i | 0.881660 | − | 0.739801i | ||||
\(257\) | −10.9469 | + | 9.18557i | −0.682851 | + | 0.572980i | −0.916838 | − | 0.399260i | \(-0.869267\pi\) |
0.233987 | + | 0.972240i | \(0.424823\pi\) | |||||||
\(258\) | 11.5818 | − | 11.3054i | 0.721050 | − | 0.703843i | ||||
\(259\) | −5.51099 | + | 3.18177i | −0.342436 | + | 0.197706i | ||||
\(260\) | −4.44641 | − | 1.61836i | −0.275755 | − | 0.100366i | ||||
\(261\) | 2.25831 | − | 2.56301i | 0.139786 | − | 0.158646i | ||||
\(262\) | −28.8557 | + | 5.08804i | −1.78271 | + | 0.314340i | ||||
\(263\) | −4.39828 | − | 12.0842i | −0.271209 | − | 0.745141i | −0.998283 | − | 0.0585816i | \(-0.981342\pi\) |
0.727073 | − | 0.686560i | \(-0.240880\pi\) | |||||||
\(264\) | 2.24892 | − | 1.53458i | 0.138412 | − | 0.0944467i | ||||
\(265\) | 4.88903i | 0.300331i | ||||||||
\(266\) | 14.3211 | − | 8.26570i | 0.878083 | − | 0.506803i | ||||
\(267\) | 9.45097 | + | 2.65510i | 0.578390 | + | 0.162489i | ||||
\(268\) | −0.485990 | + | 0.579180i | −0.0296866 | + | 0.0353791i | ||||
\(269\) | −26.5458 | + | 9.66190i | −1.61853 | + | 0.589096i | −0.983101 | − | 0.183064i | \(-0.941399\pi\) |
−0.635428 | + | 0.772160i | \(0.719176\pi\) | |||||||
\(270\) | −4.01061 | − | 3.03052i | −0.244078 | − | 0.184432i | ||||
\(271\) | −0.00607291 | + | 0.0344412i | −0.000368903 | + | 0.00209215i | −0.984992 | − | 0.172602i | \(-0.944783\pi\) |
0.984623 | + | 0.174694i | \(0.0558937\pi\) | |||||||
\(272\) | −3.71374 | + | 10.2034i | −0.225179 | + | 0.618673i | ||||
\(273\) | −17.0568 | + | 4.35030i | −1.03232 | + | 0.263292i | ||||
\(274\) | 3.12366 | + | 1.80345i | 0.188707 | + | 0.108950i | ||||
\(275\) | 14.0920 | + | 16.7942i | 0.849780 | + | 1.01273i | ||||
\(276\) | −4.43057 | − | 9.80891i | −0.266689 | − | 0.590427i | ||||
\(277\) | 6.22597 | − | 10.7837i | 0.374082 | − | 0.647929i | −0.616107 | − | 0.787662i | \(-0.711291\pi\) |
0.990189 | + | 0.139733i | \(0.0446245\pi\) | |||||||
\(278\) | 3.97910 | + | 6.89201i | 0.238651 | + | 0.413355i | ||||
\(279\) | −3.55810 | + | 2.84205i | −0.213018 | + | 0.170149i | ||||
\(280\) | −0.322102 | − | 0.0567952i | −0.0192493 | − | 0.00339416i | ||||
\(281\) | 5.22472 | + | 29.6308i | 0.311680 | + | 1.76763i | 0.590259 | + | 0.807214i | \(0.299026\pi\) |
−0.278579 | + | 0.960413i | \(0.589863\pi\) | |||||||
\(282\) | 1.51507 | + | 20.1116i | 0.0902210 | + | 1.19763i | ||||
\(283\) | 21.0118 | + | 17.6310i | 1.24902 | + | 1.04805i | 0.996763 | + | 0.0803941i | \(0.0256179\pi\) |
0.252259 | + | 0.967660i | \(0.418827\pi\) | |||||||
\(284\) | 5.68714 | 0.337469 | ||||||||
\(285\) | −2.10433 | − | 3.08479i | −0.124650 | − | 0.182727i | ||||
\(286\) | 47.2516 | 2.79405 | ||||||||
\(287\) | −14.8684 | − | 12.4761i | −0.877656 | − | 0.736441i | ||||
\(288\) | 22.8347 | + | 4.59753i | 1.34555 | + | 0.270912i | ||||
\(289\) | 1.85409 | + | 10.5151i | 0.109064 | + | 0.618534i | ||||
\(290\) | 1.08482 | + | 0.191284i | 0.0637030 | + | 0.0112326i | ||||
\(291\) | 7.07066 | − | 9.84281i | 0.414489 | − | 0.576995i | ||||
\(292\) | −0.114836 | − | 0.198902i | −0.00672026 | − | 0.0116398i | ||||
\(293\) | 4.44167 | − | 7.69320i | 0.259485 | − | 0.449442i | −0.706619 | − | 0.707594i | \(-0.749780\pi\) |
0.966104 | + | 0.258153i | \(0.0831138\pi\) | |||||||
\(294\) | −9.99865 | + | 4.51627i | −0.583133 | + | 0.263394i | ||||
\(295\) | −0.0714881 | − | 0.0851963i | −0.00416220 | − | 0.00496032i | ||||
\(296\) | −0.968839 | − | 0.559360i | −0.0563126 | − | 0.0325121i | ||||
\(297\) | 22.8994 | + | 7.03410i | 1.32876 | + | 0.408160i | ||||
\(298\) | −2.74400 | + | 7.53907i | −0.158956 | + | 0.436727i | ||||
\(299\) | −3.09716 | + | 17.5649i | −0.179113 | + | 1.01580i | ||||
\(300\) | −1.49138 | + | 14.9631i | −0.0861046 | + | 0.863897i | ||||
\(301\) | 8.70683 | − | 3.16903i | 0.501853 | − | 0.182660i | ||||
\(302\) | 26.5414 | − | 31.6308i | 1.52729 | − | 1.82015i | ||||
\(303\) | −5.09748 | + | 18.1448i | −0.292843 | + | 1.04239i | ||||
\(304\) | 16.2998 | + | 9.41363i | 0.934856 | + | 0.539908i | ||||
\(305\) | − | 5.42325i | − | 0.310535i | ||||||
\(306\) | −13.9826 | + | 4.71008i | −0.799332 | + | 0.269258i | ||||
\(307\) | −7.84228 | − | 21.5465i | −0.447582 | − | 1.22972i | −0.934402 | − | 0.356220i | \(-0.884065\pi\) |
0.486820 | − | 0.873503i | \(-0.338157\pi\) | |||||||
\(308\) | −16.0760 | + | 2.83463i | −0.916015 | + | 0.161518i | ||||
\(309\) | 3.72297 | + | 1.79110i | 0.211793 | + | 0.101892i | ||||
\(310\) | −1.37992 | − | 0.502249i | −0.0783741 | − | 0.0285258i | ||||
\(311\) | 12.5985 | − | 7.27375i | 0.714396 | − | 0.412457i | −0.0982907 | − | 0.995158i | \(-0.531338\pi\) |
0.812687 | + | 0.582701i | \(0.198004\pi\) | |||||||
\(312\) | −2.16163 | − | 2.21447i | −0.122378 | − | 0.125370i | ||||
\(313\) | −13.4333 | + | 11.2718i | −0.759292 | + | 0.637122i | −0.937943 | − | 0.346791i | \(-0.887271\pi\) |
0.178650 | + | 0.983913i | \(0.442827\pi\) | |||||||
\(314\) | −9.28025 | + | 7.78705i | −0.523715 | + | 0.439449i | ||||
\(315\) | −1.37830 | − | 2.52627i | −0.0776581 | − | 0.142339i | ||||
\(316\) | −22.8371 | + | 13.1850i | −1.28469 | + | 0.741715i | ||||
\(317\) | −16.5955 | − | 6.04028i | −0.932098 | − | 0.339256i | −0.169057 | − | 0.985606i | \(-0.554072\pi\) |
−0.763041 | + | 0.646351i | \(0.776294\pi\) | |||||||
\(318\) | 14.5178 | − | 30.1766i | 0.814115 | − | 1.69222i | ||||
\(319\) | −5.16973 | + | 0.911563i | −0.289449 | + | 0.0510377i | ||||
\(320\) | 1.10802 | + | 3.04427i | 0.0619403 | + | 0.170180i | ||||
\(321\) | −8.40936 | − | 12.3239i | −0.469365 | − | 0.687854i | ||||
\(322\) | − | 12.9118i | − | 0.719548i | ||||||
\(323\) | −10.9605 | − | 0.00148648i | −0.609856 | − | 8.27097e-5i | ||||
\(324\) | 7.51892 | + | 14.6098i | 0.417718 | + | 0.811658i | ||||
\(325\) | 16.0174 | − | 19.0888i | 0.888486 | − | 1.05886i | ||||
\(326\) | −3.13588 | + | 1.14137i | −0.173681 | + | 0.0632146i | ||||
\(327\) | 7.86123 | + | 0.783528i | 0.434727 | + | 0.0433292i | ||||
\(328\) | 0.592520 | − | 3.36035i | 0.0327165 | − | 0.185544i | ||||
\(329\) | −3.94905 | + | 10.8499i | −0.217718 | + | 0.598176i | ||||
\(330\) | 1.90911 | + | 7.48531i | 0.105093 | + | 0.412053i | ||||
\(331\) | −3.69737 | − | 2.13468i | −0.203226 | − | 0.117332i | 0.394933 | − | 0.918710i | \(-0.370768\pi\) |
−0.598159 | + | 0.801377i | \(0.704101\pi\) | |||||||
\(332\) | −8.19993 | − | 9.77230i | −0.450030 | − | 0.536325i | ||||
\(333\) | −1.47468 | − | 9.73219i | −0.0808120 | − | 0.533320i | ||||
\(334\) | 5.19725 | − | 9.00190i | 0.284381 | − | 0.492562i | ||||
\(335\) | 0.102415 | + | 0.177388i | 0.00559553 | + | 0.00969174i | ||||
\(336\) | 11.7813 | + | 8.46321i | 0.642724 | + | 0.461706i | ||||
\(337\) | −20.0909 | − | 3.54257i | −1.09442 | − | 0.192976i | −0.402837 | − | 0.915272i | \(-0.631976\pi\) |
−0.691585 | + | 0.722295i | \(0.743087\pi\) | |||||||
\(338\) | −4.91085 | − | 27.8508i | −0.267115 | − | 1.51489i | ||||
\(339\) | 15.3854 | − | 1.15903i | 0.835618 | − | 0.0629497i | ||||
\(340\) | −1.73936 | − | 1.45949i | −0.0943299 | − | 0.0791521i | ||||
\(341\) | 6.99804 | 0.378965 | ||||||||
\(342\) | 3.82844 | + | 25.2890i | 0.207018 | + | 1.36747i | ||||
\(343\) | −19.8571 | −1.07219 | ||||||||
\(344\) | 1.24781 | + | 1.04704i | 0.0672777 | + | 0.0564527i | ||||
\(345\) | −2.90765 | + | 0.219043i | −0.156543 | + | 0.0117929i | ||||
\(346\) | −3.91631 | − | 22.2105i | −0.210542 | − | 1.19404i | ||||
\(347\) | −26.1493 | − | 4.61083i | −1.40377 | − | 0.247522i | −0.580078 | − | 0.814561i | \(-0.696978\pi\) |
−0.823691 | + | 0.567039i | \(0.808089\pi\) | |||||||
\(348\) | −2.92432 | − | 2.10071i | −0.156760 | − | 0.112610i | ||||
\(349\) | −1.37375 | − | 2.37941i | −0.0735352 | − | 0.127367i | 0.826913 | − | 0.562330i | \(-0.190095\pi\) |
−0.900448 | + | 0.434963i | \(0.856761\pi\) | |||||||
\(350\) | −9.01963 | + | 15.6225i | −0.482120 | + | 0.835056i | ||||
\(351\) | 3.35397 | − | 27.0211i | 0.179022 | − | 1.44228i | ||||
\(352\) | −23.0087 | − | 27.4207i | −1.22637 | − | 1.46153i | ||||
\(353\) | −21.0798 | − | 12.1704i | −1.12197 | − | 0.647767i | −0.180063 | − | 0.983655i | \(-0.557630\pi\) |
−0.941902 | + | 0.335888i | \(0.890964\pi\) | |||||||
\(354\) | 0.188261 | + | 0.738139i | 0.0100060 | + | 0.0392317i | ||||
\(355\) | 0.526962 | − | 1.44782i | 0.0279682 | − | 0.0768421i | ||||
\(356\) | 1.79683 | − | 10.1903i | 0.0952315 | − | 0.540085i | ||||
\(357\) | −8.40517 | − | 0.837743i | −0.444849 | − | 0.0443381i | ||||
\(358\) | −32.6381 | + | 11.8793i | −1.72498 | + | 0.627840i | ||||
\(359\) | −19.5952 | + | 23.3526i | −1.03419 | + | 1.23251i | −0.0620627 | + | 0.998072i | \(0.519768\pi\) |
−0.972132 | + | 0.234433i | \(0.924677\pi\) | |||||||
\(360\) | 0.263467 | − | 0.431903i | 0.0138859 | − | 0.0227633i | ||||
\(361\) | −3.30439 | + | 18.7105i | −0.173915 | + | 0.984761i | ||||
\(362\) | − | 22.8471i | − | 1.20082i | ||||||
\(363\) | −10.0107 | − | 14.6706i | −0.525423 | − | 0.770007i | ||||
\(364\) | 6.34597 | + | 17.4354i | 0.332619 | + | 0.913863i | ||||
\(365\) | −0.0612763 | + | 0.0108047i | −0.00320735 | + | 0.000565542i | ||||
\(366\) | −16.1041 | + | 33.4740i | −0.841776 | + | 1.74972i | ||||
\(367\) | 11.0315 | + | 4.01514i | 0.575839 | + | 0.209588i | 0.613490 | − | 0.789703i | \(-0.289765\pi\) |
−0.0376505 | + | 0.999291i | \(0.511987\pi\) | |||||||
\(368\) | 12.7289 | − | 7.34904i | 0.663541 | − | 0.383095i | ||||
\(369\) | 26.3555 | − | 14.3792i | 1.37201 | − | 0.748550i | ||||
\(370\) | 2.43156 | − | 2.04032i | 0.126411 | − | 0.106071i | ||||
\(371\) | 14.6858 | − | 12.3229i | 0.762451 | − | 0.639772i | ||||
\(372\) | 3.35287 | + | 3.43484i | 0.173838 | + | 0.178088i | ||||
\(373\) | 21.0815 | − | 12.1714i | 1.09156 | − | 0.630212i | 0.157567 | − | 0.987508i | \(-0.449635\pi\) |
0.933991 | + | 0.357297i | \(0.116302\pi\) | |||||||
\(374\) | 21.3066 | + | 7.75495i | 1.10174 | + | 0.400999i | ||||
\(375\) | 7.53102 | + | 3.62312i | 0.388900 | + | 0.187097i | ||||
\(376\) | −1.99901 | + | 0.352479i | −0.103091 | + | 0.0181777i | ||||
\(377\) | 2.04074 | + | 5.60688i | 0.105103 | + | 0.288769i | ||||
\(378\) | 1.00564 | + | 19.6857i | 0.0517244 | + | 1.01252i | ||||
\(379\) | 5.14415i | 0.264237i | 0.991234 | + | 0.132119i | \(0.0421780\pi\) | ||||
−0.991234 | + | 0.132119i | \(0.957822\pi\) | |||||||
\(380\) | −3.01553 | + | 2.52963i | −0.154693 | + | 0.129767i | ||||
\(381\) | −3.99701 | + | 14.2276i | −0.204773 | + | 0.728900i | ||||
\(382\) | 3.59383 | − | 4.28296i | 0.183876 | − | 0.219135i | ||||
\(383\) | 10.8810 | − | 3.96036i | 0.555993 | − | 0.202365i | −0.0487143 | − | 0.998813i | \(-0.515512\pi\) |
0.604707 | + | 0.796448i | \(0.293290\pi\) | |||||||
\(384\) | −0.466786 | + | 4.68332i | −0.0238206 | + | 0.238995i | ||||
\(385\) | −0.767946 | + | 4.35524i | −0.0391381 | + | 0.221963i | ||||
\(386\) | 5.02291 | − | 13.8003i | 0.255659 | − | 0.702418i | ||||
\(387\) | −0.346102 | + | 14.3281i | −0.0175934 | + | 0.728338i | ||||
\(388\) | −11.0629 | − | 6.38716i | −0.561633 | − | 0.324259i | ||||
\(389\) | 15.4791 | + | 18.4473i | 0.784821 | + | 0.935314i | 0.999141 | − | 0.0414499i | \(-0.0131977\pi\) |
−0.214319 | + | 0.976764i | \(0.568753\pi\) | |||||||
\(390\) | 8.00197 | − | 3.61439i | 0.405195 | − | 0.183022i | ||||
\(391\) | −4.27932 | + | 7.41199i | −0.216414 | + | 0.374841i | ||||
\(392\) | −0.552098 | − | 0.956262i | −0.0278852 | − | 0.0482985i | ||||
\(393\) | 15.1381 | − | 21.0733i | 0.763618 | − | 1.06301i | ||||
\(394\) | 30.9424 | + | 5.45599i | 1.55886 | + | 0.274869i | ||||
\(395\) | 1.24055 | + | 7.03551i | 0.0624189 | + | 0.353995i | ||||
\(396\) | 4.98389 | − | 24.7536i | 0.250450 | − | 1.24391i | ||||
\(397\) | 9.61123 | + | 8.06478i | 0.482374 | + | 0.404760i | 0.851284 | − | 0.524705i | \(-0.175825\pi\) |
−0.368910 | + | 0.929465i | \(0.620269\pi\) | |||||||
\(398\) | 12.3888 | 0.620993 | ||||||||
\(399\) | −3.96220 | + | 14.0963i | −0.198358 | + | 0.705699i | ||||
\(400\) | −20.5349 | −1.02674 | ||||||||
\(401\) | 16.8863 | + | 14.1693i | 0.843264 | + | 0.707583i | 0.958295 | − | 0.285779i | \(-0.0922524\pi\) |
−0.115031 | + | 0.993362i | \(0.536697\pi\) | |||||||
\(402\) | −0.105392 | − | 1.39901i | −0.00525647 | − | 0.0697764i | ||||
\(403\) | −1.38123 | − | 7.83334i | −0.0688040 | − | 0.390207i | ||||
\(404\) | 19.5642 | + | 3.44970i | 0.973355 | + | 0.171629i | ||||
\(405\) | 4.41602 | − | 0.560421i | 0.219434 | − | 0.0278475i | ||||
\(406\) | −2.15973 | − | 3.74077i | −0.107186 | − | 0.185651i | ||||
\(407\) | −7.56327 | + | 13.1000i | −0.374898 | + | 0.649342i | ||||
\(408\) | −0.611275 | − | 1.35331i | −0.0302626 | − | 0.0669989i | ||||
\(409\) | 8.66466 | + | 10.3261i | 0.428440 | + | 0.510595i | 0.936472 | − | 0.350743i | \(-0.114071\pi\) |
−0.508031 | + | 0.861338i | \(0.669627\pi\) | |||||||
\(410\) | 8.38444 | + | 4.84076i | 0.414078 | + | 0.239068i | ||||
\(411\) | −3.09496 | + | 0.789362i | −0.152663 | + | 0.0389364i | ||||
\(412\) | 1.48941 | − | 4.09212i | 0.0733779 | − | 0.201604i | ||||
\(413\) | −0.0757285 | + | 0.429477i | −0.00372635 | + | 0.0211332i | ||||
\(414\) | 18.5974 | + | 7.28215i | 0.914012 | + | 0.357898i | ||||
\(415\) | −3.24760 | + | 1.18203i | −0.159418 | + | 0.0580235i | ||||
\(416\) | −26.1524 | + | 31.1672i | −1.28222 | + | 1.52810i | ||||
\(417\) | −6.78463 | − | 1.90603i | −0.332245 | − | 0.0933389i | ||||
\(418\) | 19.6573 | − | 34.0368i | 0.961471 | − | 1.66480i | ||||
\(419\) | − | 35.6982i | − | 1.74397i | −0.489530 | − | 0.871986i | \(-0.662832\pi\) | ||
0.489530 | − | 0.871986i | \(-0.337168\pi\) | |||||||
\(420\) | −2.50561 | + | 1.70973i | −0.122261 | + | 0.0834265i | ||||
\(421\) | 0.543107 | + | 1.49217i | 0.0264694 | + | 0.0727241i | 0.952224 | − | 0.305402i | \(-0.0987908\pi\) |
−0.925754 | + | 0.378126i | \(0.876569\pi\) | |||||||
\(422\) | −21.1545 | + | 3.73010i | −1.02978 | + | 0.181578i | ||||
\(423\) | −13.4003 | − | 11.8072i | −0.651547 | − | 0.574087i | ||||
\(424\) | 3.16703 | + | 1.15271i | 0.153805 | + | 0.0559803i | ||||
\(425\) | 10.3554 | − | 5.97869i | 0.502310 | − | 0.290009i | ||||
\(426\) | −7.55180 | + | 7.37159i | −0.365886 | + | 0.357154i | ||||
\(427\) | −16.2906 | + | 13.6694i | −0.788356 | + | 0.661509i | ||||
\(428\) | −12.0469 | + | 10.1086i | −0.582311 | + | 0.488617i | ||||
\(429\) | −29.9426 | + | 29.2280i | −1.44564 | + | 1.41114i | ||||
\(430\) | −4.00255 | + | 2.31087i | −0.193020 | + | 0.111440i | ||||
\(431\) | −8.42816 | − | 3.06760i | −0.405970 | − | 0.147761i | 0.130960 | − | 0.991388i | \(-0.458194\pi\) |
−0.536930 | + | 0.843627i | \(0.680416\pi\) | |||||||
\(432\) | −18.8345 | + | 12.1959i | −0.906173 | + | 0.586777i | ||||
\(433\) | 12.5463 | − | 2.21225i | 0.602936 | − | 0.106314i | 0.136156 | − | 0.990687i | \(-0.456525\pi\) |
0.466780 | + | 0.884374i | \(0.345414\pi\) | |||||||
\(434\) | 1.96943 | + | 5.41098i | 0.0945359 | + | 0.259735i | ||||
\(435\) | −0.805756 | + | 0.549817i | −0.0386330 | + | 0.0263617i | ||||
\(436\) | − | 8.32724i | − | 0.398802i | ||||||
\(437\) | 11.3641 | + | 9.53822i | 0.543617 | + | 0.456275i | ||||
\(438\) | 0.410301 | + | 0.115268i | 0.0196049 | + | 0.00550770i | ||||
\(439\) | −3.08365 | + | 3.67495i | −0.147175 | + | 0.175396i | −0.834595 | − | 0.550864i | \(-0.814298\pi\) |
0.687421 | + | 0.726259i | \(0.258743\pi\) | |||||||
\(440\) | −0.730580 | + | 0.265910i | −0.0348291 | + | 0.0126767i | ||||
\(441\) | 3.54239 | − | 9.04667i | 0.168685 | − | 0.430794i | ||||
\(442\) | 4.47525 | − | 25.3804i | 0.212866 | − | 1.20722i | ||||
\(443\) | 2.89248 | − | 7.94702i | 0.137426 | − | 0.377574i | −0.851820 | − | 0.523834i | \(-0.824501\pi\) |
0.989246 | + | 0.146260i | \(0.0467235\pi\) | |||||||
\(444\) | −10.0535 | + | 2.56413i | −0.477120 | + | 0.121688i | ||||
\(445\) | −2.42773 | − | 1.40165i | −0.115085 | − | 0.0664445i | ||||
\(446\) | 29.4774 | + | 35.1298i | 1.39579 | + | 1.66344i | ||||
\(447\) | −2.92456 | − | 6.47472i | −0.138327 | − | 0.306244i | ||||
\(448\) | 6.35169 | − | 11.0014i | 0.300089 | − | 0.519770i | ||||
\(449\) | −2.29293 | − | 3.97148i | −0.108210 | − | 0.187426i | 0.806835 | − | 0.590777i | \(-0.201179\pi\) |
−0.915045 | + | 0.403351i | \(0.867845\pi\) | |||||||
\(450\) | −17.4146 | − | 21.8023i | −0.820934 | − | 1.02777i | ||||
\(451\) | −45.4363 | − | 8.01165i | −2.13951 | − | 0.377254i | ||||
\(452\) | −2.82404 | − | 16.0159i | −0.132832 | − | 0.753325i | ||||
\(453\) | 2.74676 | + | 36.4615i | 0.129054 | + | 1.71311i | ||||
\(454\) | 1.26521 | + | 1.06164i | 0.0593794 | + | 0.0498252i | ||||
\(455\) | 5.02666 | 0.235654 | ||||||||
\(456\) | −2.49442 | + | 0.635837i | −0.116812 | + | 0.0297758i | ||||
\(457\) | −8.38932 | −0.392436 | −0.196218 | − | 0.980560i | \(-0.562866\pi\) | ||||
−0.196218 | + | 0.980560i | \(0.562866\pi\) | |||||||
\(458\) | 9.79468 | + | 8.21871i | 0.457675 | + | 0.384035i | ||||
\(459\) | 5.94707 | − | 11.6338i | 0.277586 | − | 0.543020i | ||||
\(460\) | 0.533710 | + | 3.02682i | 0.0248844 | + | 0.141126i | ||||
\(461\) | 24.7397 | + | 4.36228i | 1.15224 | + | 0.203171i | 0.716955 | − | 0.697120i | \(-0.245535\pi\) |
0.435288 | + | 0.900291i | \(0.356647\pi\) | |||||||
\(462\) | 17.6727 | − | 24.6015i | 0.822208 | − | 1.14457i | ||||
\(463\) | 5.36106 | + | 9.28562i | 0.249149 | + | 0.431539i | 0.963290 | − | 0.268463i | \(-0.0865157\pi\) |
−0.714141 | + | 0.700002i | \(0.753182\pi\) | |||||||
\(464\) | 2.45852 | − | 4.25827i | 0.114134 | − | 0.197685i | ||||
\(465\) | 1.18510 | − | 0.535298i | 0.0549579 | − | 0.0248238i | ||||
\(466\) | 33.7747 | + | 40.2511i | 1.56458 | + | 1.86460i | ||||
\(467\) | −2.86340 | − | 1.65318i | −0.132502 | − | 0.0765002i | 0.432284 | − | 0.901738i | \(-0.357708\pi\) |
−0.564786 | + | 0.825237i | \(0.691041\pi\) | |||||||
\(468\) | −28.6919 | − | 0.693068i | −1.32629 | − | 0.0320371i | ||||
\(469\) | 0.274706 | − | 0.754748i | 0.0126847 | − | 0.0348510i | ||||
\(470\) | 1.00010 | − | 5.67185i | 0.0461311 | − | 0.261623i | ||||
\(471\) | 1.06397 | − | 10.6749i | 0.0490252 | − | 0.491875i | ||||
\(472\) | −0.0720438 | + | 0.0262218i | −0.00331608 | + | 0.00120696i | ||||
\(473\) | 14.1574 | − | 16.8721i | 0.650956 | − | 0.775780i | ||||
\(474\) | 13.2346 | − | 47.1092i | 0.607884 | − | 2.16380i | ||||
\(475\) | −7.08681 | − | 19.4791i | −0.325165 | − | 0.893761i | ||||
\(476\) | 8.90342i | 0.408088i | ||||||||
\(477\) | 9.46644 | + | 28.1026i | 0.433439 | + | 1.28673i | ||||
\(478\) | 15.1823 | + | 41.7131i | 0.694423 | + | 1.90791i | ||||
\(479\) | 5.99987 | − | 1.05794i | 0.274141 | − | 0.0483385i | −0.0348874 | − | 0.999391i | \(-0.511107\pi\) |
0.309028 | + | 0.951053i | \(0.399996\pi\) | |||||||
\(480\) | −5.99395 | − | 2.88364i | −0.273585 | − | 0.131620i | ||||
\(481\) | 16.1564 | + | 5.88046i | 0.736669 | + | 0.268126i | ||||
\(482\) | −42.0477 | + | 24.2763i | −1.91522 | + | 1.10575i | ||||
\(483\) | 7.98676 | + | 8.18202i | 0.363410 | + | 0.372295i | ||||
\(484\) | −14.3409 | + | 12.0334i | −0.651859 | + | 0.546974i | ||||
\(485\) | −2.65110 | + | 2.22453i | −0.120380 | + | 0.101011i | ||||
\(486\) | −28.9212 | − | 9.65410i | −1.31189 | − | 0.437919i | ||||
\(487\) | 1.88147 | − | 1.08627i | 0.0852575 | − | 0.0492234i | −0.456765 | − | 0.889587i | \(-0.650992\pi\) |
0.542023 | + | 0.840364i | \(0.317659\pi\) | |||||||
\(488\) | −3.51310 | − | 1.27866i | −0.159030 | − | 0.0578823i | ||||
\(489\) | 1.28115 | − | 2.66301i | 0.0579357 | − | 0.120425i | ||||
\(490\) | 3.08537 | − | 0.544035i | 0.139383 | − | 0.0245770i | ||||
\(491\) | −11.0836 | − | 30.4521i | −0.500198 | − | 1.37428i | −0.891082 | − | 0.453842i | \(-0.850053\pi\) |
0.390884 | − | 0.920440i | \(-0.372169\pi\) | |||||||
\(492\) | −17.8369 | − | 26.1400i | −0.804151 | − | 1.17848i | ||||
\(493\) | 2.86317i | 0.128951i | ||||||||
\(494\) | −41.9794 | − | 15.2857i | −1.88874 | − | 0.687736i | ||||
\(495\) | −5.83990 | − | 3.56242i | −0.262484 | − | 0.160119i | ||||
\(496\) | −4.21338 | + | 5.02131i | −0.189186 | + | 0.225463i | ||||
\(497\) | −5.67722 | + | 2.06634i | −0.254658 | + | 0.0926879i | ||||
\(498\) | 23.5552 | + | 2.34774i | 1.05553 | + | 0.105205i | ||||
\(499\) | 2.81643 | − | 15.9728i | 0.126081 | − | 0.715039i | −0.854579 | − | 0.519321i | \(-0.826185\pi\) |
0.980660 | − | 0.195719i | \(-0.0627039\pi\) | |||||||
\(500\) | 3.01285 | − | 8.27775i | 0.134739 | − | 0.370192i | ||||
\(501\) | 2.27482 | + | 8.91918i | 0.101631 | + | 0.398480i | ||||
\(502\) | 27.3202 | + | 15.7733i | 1.21936 | + | 0.703998i | ||||
\(503\) | −10.3825 | − | 12.3734i | −0.462933 | − | 0.551702i | 0.483188 | − | 0.875517i | \(-0.339479\pi\) |
−0.946120 | + | 0.323815i | \(0.895034\pi\) | |||||||
\(504\) | −1.96144 | + | 0.297209i | −0.0873695 | + | 0.0132388i | ||||
\(505\) | 2.69100 | − | 4.66096i | 0.119748 | − | 0.207410i | ||||
\(506\) | −15.3461 | − | 26.5802i | −0.682218 | − | 1.18164i | ||||
\(507\) | 20.3394 | + | 14.6110i | 0.903304 | + | 0.648896i | ||||
\(508\) | 15.3406 | + | 2.70495i | 0.680627 | + | 0.120013i | ||||
\(509\) | −4.96536 | − | 28.1600i | −0.220086 | − | 1.24817i | −0.871860 | − | 0.489756i | \(-0.837086\pi\) |
0.651774 | − | 0.758413i | \(-0.274025\pi\) | |||||||
\(510\) | 4.20142 | − | 0.316506i | 0.186042 | − | 0.0140151i | ||||
\(511\) | 0.186904 | + | 0.156831i | 0.00826813 | + | 0.00693778i | ||||
\(512\) | 30.5835 | 1.35161 | ||||||||
\(513\) | −18.0688 | − | 13.6571i | −0.797759 | − | 0.602977i | ||||
\(514\) | −27.9507 | −1.23285 | ||||||||
\(515\) | −0.903754 | − | 0.758339i | −0.0398241 | − | 0.0334164i | ||||
\(516\) | 15.0643 | − | 1.13484i | 0.663170 | − | 0.0499587i | ||||
\(517\) | 4.76598 | + | 27.0292i | 0.209607 | + | 1.18874i | ||||
\(518\) | −12.2576 | − | 2.16134i | −0.538567 | − | 0.0949639i | ||||
\(519\) | 16.2203 | + | 11.6520i | 0.711991 | + | 0.511464i | ||||
\(520\) | 0.441847 | + | 0.765301i | 0.0193763 | + | 0.0335607i | ||||
\(521\) | 0.554173 | − | 0.959856i | 0.0242788 | − | 0.0420521i | −0.853631 | − | 0.520879i | \(-0.825604\pi\) |
0.877910 | + | 0.478827i | \(0.158938\pi\) | |||||||
\(522\) | 6.60604 | − | 1.00099i | 0.289138 | − | 0.0438120i | ||||
\(523\) | 8.07045 | + | 9.61798i | 0.352896 | + | 0.420565i | 0.913065 | − | 0.407813i | \(-0.133708\pi\) |
−0.560170 | + | 0.828378i | \(0.689264\pi\) | |||||||
\(524\) | −23.6854 | − | 13.6748i | −1.03470 | − | 0.597386i | ||||
\(525\) | −3.94786 | − | 15.4789i | −0.172299 | − | 0.675555i | ||||
\(526\) | 8.60274 | − | 23.6358i | 0.375097 | − | 1.03057i | ||||
\(527\) | 0.662792 | − | 3.75888i | 0.0288717 | − | 0.163739i | ||||
\(528\) | 34.3118 | + | 3.41986i | 1.49323 | + | 0.148830i | ||||
\(529\) | −10.7264 | + | 3.90408i | −0.466363 | + | 0.169742i | ||||
\(530\) | −6.14673 | + | 7.32539i | −0.266997 | + | 0.318195i | ||||
\(531\) | −0.575883 | − | 0.351296i | −0.0249912 | − | 0.0152449i | ||||
\(532\) | 15.1993 | + | 2.68217i | 0.658972 | + | 0.116287i | ||||
\(533\) | 52.4411i | 2.27147i | ||||||||
\(534\) | 10.8226 | + | 15.8605i | 0.468338 | + | 0.686349i | ||||
\(535\) | 1.45716 | + | 4.00352i | 0.0629987 | + | 0.173087i | ||||
\(536\) | 0.139056 | − | 0.0245193i | 0.00600630 | − | 0.00105907i | ||||
\(537\) | 13.3342 | − | 27.7164i | 0.575411 | − | 1.19605i | ||||
\(538\) | −51.9219 | − | 18.8980i | −2.23851 | − | 0.814752i | ||||
\(539\) | −12.9299 | + | 7.46509i | −0.556931 | + | 0.321544i | ||||
\(540\) | −1.04945 | − | 4.57320i | −0.0451613 | − | 0.196799i | ||||
\(541\) | 19.4785 | − | 16.3444i | 0.837448 | − | 0.702702i | −0.119540 | − | 0.992829i | \(-0.538142\pi\) |
0.956988 | + | 0.290127i | \(0.0936975\pi\) | |||||||
\(542\) | −0.0524004 | + | 0.0439692i | −0.00225079 | + | 0.00188864i | ||||
\(543\) | 14.1324 | + | 14.4779i | 0.606478 | + | 0.621305i | ||||
\(544\) | −16.9077 | + | 9.76167i | −0.724912 | + | 0.418528i | ||||
\(545\) | −2.11992 | − | 0.771589i | −0.0908076 | − | 0.0330513i | ||||
\(546\) | −31.0262 | − | 14.9265i | −1.32780 | − | 0.638793i | ||||
\(547\) | 32.5162 | − | 5.73349i | 1.39029 | − | 0.245146i | 0.572144 | − | 0.820153i | \(-0.306112\pi\) |
0.818149 | + | 0.575007i | \(0.195001\pi\) | |||||||
\(548\) | 1.15148 | + | 3.16366i | 0.0491886 | + | 0.135145i | ||||
\(549\) | −10.5008 | − | 31.1734i | −0.448165 | − | 1.33045i | ||||
\(550\) | 42.8805i | 1.82843i | ||||||||
\(551\) | 4.88779 | + | 0.862533i | 0.208227 | + | 0.0367451i | ||||
\(552\) | −0.543657 | + | 1.93518i | −0.0231396 | + | 0.0823665i | ||||
\(553\) | 18.0067 | − | 21.4596i | 0.765723 | − | 0.912553i | ||||
\(554\) | 22.8864 | − | 8.32996i | 0.972349 | − | 0.353906i | ||||
\(555\) | −0.278776 | + | 2.79699i | −0.0118334 | + | 0.118726i | ||||
\(556\) | −1.28990 | + | 7.31538i | −0.0547039 | + | 0.310241i | ||||
\(557\) | 12.2432 | − | 33.6380i | 0.518762 | − | 1.42529i | −0.353123 | − | 0.935577i | \(-0.614880\pi\) |
0.871885 | − | 0.489710i | \(-0.162897\pi\) | |||||||
\(558\) | −8.90438 | − | 0.215090i | −0.376953 | − | 0.00910547i | ||||
\(559\) | −21.6803 | − | 12.5171i | −0.916979 | − | 0.529418i | ||||
\(560\) | −2.66265 | − | 3.17323i | −0.112518 | − | 0.134093i | ||||
\(561\) | −18.2985 | + | 8.26524i | −0.772565 | + | 0.348959i | ||||
\(562\) | −29.4250 | + | 50.9656i | −1.24122 | + | 2.14986i | ||||
\(563\) | −11.0660 | − | 19.1668i | −0.466375 | − | 0.807785i | 0.532887 | − | 0.846186i | \(-0.321107\pi\) |
−0.999262 | + | 0.0384008i | \(0.987774\pi\) | |||||||
\(564\) | −10.9833 | + | 15.2894i | −0.462479 | + | 0.643800i | ||||
\(565\) | −4.33896 | − | 0.765075i | −0.182541 | − | 0.0321870i | ||||
\(566\) | 9.31609 | + | 52.8342i | 0.391585 | + | 2.22079i | ||||
\(567\) | −12.8141 | − | 11.8525i | −0.538141 | − | 0.497757i | ||||
\(568\) | −0.813628 | − | 0.682715i | −0.0341391 | − | 0.0286461i | ||||
\(569\) | −3.68640 | −0.154542 | −0.0772710 | − | 0.997010i | \(-0.524621\pi\) | ||||
−0.0772710 | + | 0.997010i | \(0.524621\pi\) | |||||||
\(570\) | 0.725368 | − | 7.26771i | 0.0303823 | − | 0.304411i | ||||
\(571\) | −7.83713 | −0.327974 | −0.163987 | − | 0.986463i | \(-0.552435\pi\) | ||||
−0.163987 | + | 0.986463i | \(0.552435\pi\) | |||||||
\(572\) | 33.7863 | + | 28.3501i | 1.41268 | + | 1.18538i | ||||
\(573\) | 0.371923 | + | 4.93705i | 0.0155373 | + | 0.206248i | ||||
\(574\) | −6.59228 | − | 37.3867i | −0.275157 | − | 1.56049i | ||||
\(575\) | −15.9400 | − | 2.81065i | −0.664744 | − | 0.117212i | ||||
\(576\) | 12.2635 | + | 15.3533i | 0.510980 | + | 0.639721i | ||||
\(577\) | 7.58405 | + | 13.1360i | 0.315728 | + | 0.546857i | 0.979592 | − | 0.200996i | \(-0.0644179\pi\) |
−0.663864 | + | 0.747853i | \(0.731085\pi\) | |||||||
\(578\) | −10.4420 | + | 18.0861i | −0.434331 | + | 0.752284i | ||||
\(579\) | 5.35342 | + | 11.8520i | 0.222481 | + | 0.492554i | ||||
\(580\) | 0.660914 | + | 0.787647i | 0.0274430 | + | 0.0327053i | ||||
\(581\) | 11.7363 | + | 6.77593i | 0.486902 | + | 0.281113i | ||||
\(582\) | 22.9691 | − | 5.85821i | 0.952098 | − | 0.242831i | ||||
\(583\) | 15.5861 | − | 42.8224i | 0.645510 | − | 1.77352i | ||||
\(584\) | −0.00744828 | + | 0.0422413i | −0.000308212 | + | 0.00174796i | ||||
\(585\) | −2.83499 | + | 7.24010i | −0.117213 | + | 0.299341i | ||||
\(586\) | 16.3274 | − | 5.94268i | 0.674478 | − | 0.245490i | ||||
\(587\) | 4.23083 | − | 5.04211i | 0.174625 | − | 0.208110i | −0.671632 | − | 0.740885i | \(-0.734406\pi\) |
0.846257 | + | 0.532775i | \(0.178851\pi\) | |||||||
\(588\) | −9.85901 | − | 2.76973i | −0.406579 | − | 0.114222i | ||||
\(589\) | −6.21722 | − | 2.26384i | −0.256176 | − | 0.0932798i | ||||
\(590\) | − | 0.217531i | − | 0.00895560i | ||||||
\(591\) | −22.9826 | + | 15.6824i | −0.945377 | + | 0.645089i | ||||
\(592\) | −4.84594 | − | 13.3141i | −0.199167 | − | 0.547207i | ||||
\(593\) | 5.69179 | − | 1.00362i | 0.233734 | − | 0.0412136i | −0.0555543 | − | 0.998456i | \(-0.517693\pi\) |
0.289288 | + | 0.957242i | \(0.406581\pi\) | |||||||
\(594\) | 25.4673 | + | 39.3297i | 1.04494 | + | 1.61372i | ||||
\(595\) | 2.26661 | + | 0.824978i | 0.0929219 | + | 0.0338208i | ||||
\(596\) | −6.48535 | + | 3.74432i | −0.265650 | + | 0.153373i | ||||
\(597\) | −7.85057 | + | 7.66322i | −0.321302 | + | 0.313635i | ||||
\(598\) | −26.7240 | + | 22.4241i | −1.09283 | + | 0.916990i | ||||
\(599\) | −27.7457 | + | 23.2814i | −1.13366 | + | 0.951254i | −0.999213 | − | 0.0396667i | \(-0.987370\pi\) |
−0.134447 | + | 0.990921i | \(0.542926\pi\) | |||||||
\(600\) | 2.00962 | − | 1.96166i | 0.0820423 | − | 0.0800845i | ||||
\(601\) | 6.07461 | − | 3.50718i | 0.247789 | − | 0.143061i | −0.370963 | − | 0.928648i | \(-0.620972\pi\) |
0.618751 | + | 0.785587i | \(0.287639\pi\) | |||||||
\(602\) | 17.0300 | + | 6.19841i | 0.694091 | + | 0.252628i | ||||
\(603\) | 0.932161 | + | 0.821340i | 0.0379605 | + | 0.0334476i | ||||
\(604\) | 37.9558 | − | 6.69264i | 1.54440 | − | 0.272319i | ||||
\(605\) | 1.73463 | + | 4.76587i | 0.0705229 | + | 0.193760i | ||||
\(606\) | −30.4502 | + | 20.7781i | −1.23696 | + | 0.844052i | ||||
\(607\) | − | 14.2728i | − | 0.579314i | −0.957130 | − | 0.289657i | \(-0.906459\pi\) | ||
0.957130 | − | 0.289657i | \(-0.0935413\pi\) | |||||||
\(608\) | 11.5710 | + | 31.8043i | 0.469264 | + | 1.28984i | ||||
\(609\) | 3.68248 | + | 1.03454i | 0.149222 | + | 0.0419215i | ||||
\(610\) | 6.81839 | − | 8.12584i | 0.276068 | − | 0.329006i | ||||
\(611\) | 29.3148 | − | 10.6697i | 1.18595 | − | 0.431650i | ||||
\(612\) | −12.8239 | − | 5.02145i | −0.518377 | − | 0.202980i | ||||
\(613\) | 3.36609 | − | 19.0901i | 0.135955 | − | 0.771040i | −0.838235 | − | 0.545310i | \(-0.816412\pi\) |
0.974190 | − | 0.225730i | \(-0.0724768\pi\) | |||||||
\(614\) | 15.3390 | − | 42.1435i | 0.619031 | − | 1.70077i | ||||
\(615\) | −8.30739 | + | 2.11878i | −0.334986 | + | 0.0854376i | ||||
\(616\) | 2.64019 | + | 1.52431i | 0.106376 | + | 0.0614164i | ||||
\(617\) | 2.77009 | + | 3.30127i | 0.111520 | + | 0.132904i | 0.818917 | − | 0.573913i | \(-0.194575\pi\) |
−0.707397 | + | 0.706817i | \(0.750131\pi\) | |||||||
\(618\) | 3.32640 | + | 7.36437i | 0.133807 | + | 0.296238i | ||||
\(619\) | 4.18376 | − | 7.24648i | 0.168159 | − | 0.291261i | −0.769613 | − | 0.638510i | \(-0.779551\pi\) |
0.937773 | + | 0.347250i | \(0.112884\pi\) | |||||||
\(620\) | −0.685343 | − | 1.18705i | −0.0275240 | − | 0.0476730i | ||||
\(621\) | −16.2893 | + | 6.88906i | −0.653669 | + | 0.276448i | ||||
\(622\) | 28.0217 | + | 4.94098i | 1.12357 | + | 0.198115i | ||||
\(623\) | 1.90881 | + | 10.8254i | 0.0764747 | + | 0.433710i | ||||
\(624\) | −2.94419 | − | 39.0824i | −0.117862 | − | 1.56455i | ||||
\(625\) | 16.3859 | + | 13.7494i | 0.655438 | + | 0.549978i | ||||
\(626\) | −34.2990 | −1.37086 | ||||||||
\(627\) | 8.59735 | + | 33.7279i | 0.343345 | + | 1.34696i | ||||
\(628\) | −11.3077 | −0.451228 | ||||||||
\(629\) | 6.32010 | + | 5.30320i | 0.251999 | + | 0.211452i | ||||
\(630\) | 1.11100 | − | 5.51805i | 0.0442635 | − | 0.219844i | ||||
\(631\) | 4.18478 | + | 23.7331i | 0.166593 | + | 0.944799i | 0.947406 | + | 0.320034i | \(0.103694\pi\) |
−0.780813 | + | 0.624765i | \(0.785195\pi\) | |||||||
\(632\) | 4.84998 | + | 0.855183i | 0.192922 | + | 0.0340173i | ||||
\(633\) | 11.0979 | − | 15.4490i | 0.441104 | − | 0.614044i | ||||
\(634\) | −17.2715 | − | 29.9151i | −0.685938 | − | 1.18808i | ||||
\(635\) | 2.11005 | − | 3.65472i | 0.0837349 | − | 0.145033i | ||||
\(636\) | 28.4860 | − | 12.8668i | 1.12955 | − | 0.510202i | ||||
\(637\) | 10.9082 | + | 12.9999i | 0.432198 | + | 0.515073i | ||||
\(638\) | −8.89204 | − | 5.13382i | −0.352039 | − | 0.203250i | ||||
\(639\) | 0.225673 | − | 9.34251i | 0.00892748 | − | 0.369584i | ||||
\(640\) | 0.459674 | − | 1.26294i | 0.0181702 | − | 0.0499222i | ||||
\(641\) | −0.129228 | + | 0.732886i | −0.00510418 | + | 0.0289473i | −0.987253 | − | 0.159156i | \(-0.949123\pi\) |
0.982149 | + | 0.188103i | \(0.0602339\pi\) | |||||||
\(642\) | 2.89422 | − | 29.0380i | 0.114226 | − | 1.14604i | ||||
\(643\) | −36.8973 | + | 13.4295i | −1.45509 | + | 0.529608i | −0.944007 | − | 0.329926i | \(-0.892976\pi\) |
−0.511079 | + | 0.859534i | \(0.670754\pi\) | |||||||
\(644\) | 7.74685 | − | 9.23234i | 0.305269 | − | 0.363805i | ||||
\(645\) | 1.10693 | − | 3.94019i | 0.0435855 | − | 0.155145i | ||||
\(646\) | −16.4205 | − | 13.7823i | −0.646057 | − | 0.542256i | ||||
\(647\) | − | 10.0379i | − | 0.394633i | −0.980340 | − | 0.197316i | \(-0.936777\pi\) | ||
0.980340 | − | 0.197316i | \(-0.0632226\pi\) | |||||||
\(648\) | 0.678153 | − | 2.99276i | 0.0266403 | − | 0.117567i | ||||
\(649\) | 0.354553 | + | 0.974127i | 0.0139174 | + | 0.0382378i | ||||
\(650\) | 47.9988 | − | 8.46349i | 1.88267 | − | 0.331965i | ||||
\(651\) | −4.59502 | − | 2.21063i | −0.180093 | − | 0.0866415i | ||||
\(652\) | −2.92705 | − | 1.06536i | −0.114632 | − | 0.0417227i | ||||
\(653\) | −24.0034 | + | 13.8584i | −0.939327 | + | 0.542321i | −0.889749 | − | 0.456449i | \(-0.849121\pi\) |
−0.0495780 | + | 0.998770i | \(0.515788\pi\) | |||||||
\(654\) | 10.7936 | + | 11.0575i | 0.422065 | + | 0.432383i | ||||
\(655\) | −5.67595 | + | 4.76268i | −0.221778 | + | 0.186093i | ||||
\(656\) | 33.1049 | − | 27.7783i | 1.29253 | − | 1.08456i | ||||
\(657\) | −0.331301 | + | 0.180753i | −0.0129253 | + | 0.00705186i | ||||
\(658\) | −19.5581 | + | 11.2919i | −0.762453 | + | 0.440202i | ||||
\(659\) | 37.9399 | + | 13.8090i | 1.47793 | + | 0.537922i | 0.950241 | − | 0.311516i | \(-0.100837\pi\) |
0.527688 | + | 0.849438i | \(0.323059\pi\) | |||||||
\(660\) | −3.12597 | + | 6.49765i | −0.121678 | + | 0.252921i | ||||
\(661\) | −28.3986 | + | 5.00744i | −1.10458 | + | 0.194767i | −0.696060 | − | 0.717984i | \(-0.745065\pi\) |
−0.408517 | + | 0.912751i | \(0.633954\pi\) | |||||||
\(662\) | −2.85607 | − | 7.84698i | −0.111004 | − | 0.304981i | ||||
\(663\) | 12.8635 | + | 18.8514i | 0.499575 | + | 0.732127i | ||||
\(664\) | 2.38243i | 0.0924564i | ||||||||
\(665\) | 2.09116 | − | 3.62087i | 0.0810918 | − | 0.140411i | ||||
\(666\) | 10.0262 | − | 16.4361i | 0.388509 | − | 0.636886i | ||||
\(667\) | 2.49124 | − | 2.96894i | 0.0964611 | − | 0.114958i | ||||
\(668\) | 9.11716 | − | 3.31838i | 0.352754 | − | 0.128392i | ||||
\(669\) | −40.4093 | − | 4.02759i | −1.56231 | − | 0.155716i | ||||
\(670\) | −0.0695694 | + | 0.394548i | −0.00268770 | + | 0.0152427i | ||||
\(671\) | −17.2892 | + | 47.5017i | −0.667442 | + | 1.83378i | ||||
\(672\) | 6.44586 | + | 25.2731i | 0.248654 | + | 0.974932i | ||||
\(673\) | −16.2655 | − | 9.39089i | −0.626989 | − | 0.361992i | 0.152596 | − | 0.988289i | \(-0.451237\pi\) |
−0.779585 | + | 0.626296i | \(0.784570\pi\) | |||||||
\(674\) | −25.6490 | − | 30.5673i | −0.987962 | − | 1.17741i | ||||
\(675\) | 24.5214 | + | 3.04370i | 0.943830 | + | 0.117152i | ||||
\(676\) | 13.1986 | − | 22.8606i | 0.507638 | − | 0.879254i | ||||
\(677\) | −5.21572 | − | 9.03390i | −0.200457 | − | 0.347201i | 0.748219 | − | 0.663452i | \(-0.230909\pi\) |
−0.948676 | + | 0.316251i | \(0.897576\pi\) | |||||||
\(678\) | 24.5096 | + | 17.6066i | 0.941284 | + | 0.676179i | ||||
\(679\) | 13.3643 | + | 2.35648i | 0.512874 | + | 0.0904335i | ||||
\(680\) | 0.0736348 | + | 0.417603i | 0.00282376 | + | 0.0160144i | ||||
\(681\) | −1.45844 | + | 0.109868i | −0.0558874 | + | 0.00421017i | ||||
\(682\) | 10.4854 | + | 8.79829i | 0.401506 | + | 0.336904i | ||||
\(683\) | 27.0630 | 1.03554 | 0.517769 | − | 0.855520i | \(-0.326763\pi\) | ||||
0.517769 | + | 0.855520i | \(0.326763\pi\) | |||||||
\(684\) | −12.4355 | + | 20.3794i | −0.475483 | + | 0.779226i | ||||
\(685\) | 0.912089 | 0.0348491 | ||||||||
\(686\) | −29.7526 | − | 24.9654i | −1.13596 | − | 0.953184i | ||||
\(687\) | −11.2905 | + | 0.850550i | −0.430760 | + | 0.0324505i | ||||
\(688\) | 3.58238 | + | 20.3167i | 0.136577 | + | 0.774567i | ||||
\(689\) | −51.0101 | − | 8.99446i | −1.94333 | − | 0.342662i | ||||
\(690\) | −4.63202 | − | 3.32745i | −0.176338 | − | 0.126674i | ||||
\(691\) | −0.487247 | − | 0.843937i | −0.0185358 | − | 0.0321049i | 0.856609 | − | 0.515967i | \(-0.172567\pi\) |
−0.875145 | + | 0.483862i | \(0.839234\pi\) | |||||||
\(692\) | 10.5256 | − | 18.2309i | 0.400123 | − | 0.693034i | ||||
\(693\) | 4.01866 | + | 26.5212i | 0.152656 | + | 1.00746i | ||||
\(694\) | −33.3834 | − | 39.7848i | −1.26722 | − | 1.51021i | ||||
\(695\) | 1.74281 | + | 1.00621i | 0.0661085 | + | 0.0381678i | ||||
\(696\) | 0.166186 | + | 0.651588i | 0.00629927 | + | 0.0246984i | ||||
\(697\) | −8.60665 | + | 23.6466i | −0.326000 | + | 0.895678i | ||||
\(698\) | 0.933174 | − | 5.29229i | 0.0353212 | − | 0.200316i | ||||
\(699\) | −46.3003 | − | 4.61475i | −1.75124 | − | 0.174546i | ||||
\(700\) | −15.8225 | + | 5.75892i | −0.598034 | + | 0.217667i | ||||
\(701\) | −9.90651 | + | 11.8061i | −0.374164 | + | 0.445911i | −0.919963 | − | 0.392005i | \(-0.871782\pi\) |
0.545799 | + | 0.837916i | \(0.316226\pi\) | |||||||
\(702\) | 38.9976 | − | 36.2698i | 1.47187 | − | 1.36891i | ||||
\(703\) | 10.9572 | − | 9.19163i | 0.413258 | − | 0.346669i | ||||
\(704\) | − | 30.1967i | − | 1.13808i | ||||||
\(705\) | 2.87464 | + | 4.21278i | 0.108265 | + | 0.158663i | ||||
\(706\) | −16.2833 | − | 44.7380i | −0.612830 | − | 1.68374i | ||||
\(707\) | −20.7835 | + | 3.66469i | −0.781643 | + | 0.137825i | ||||
\(708\) | −0.308258 | + | 0.640745i | −0.0115850 | + | 0.0240807i | ||||
\(709\) | −30.4578 | − | 11.0857i | −1.14387 | − | 0.416333i | −0.300558 | − | 0.953763i | \(-0.597173\pi\) |
−0.843308 | + | 0.537430i | \(0.819395\pi\) | |||||||
\(710\) | 2.60983 | − | 1.50679i | 0.0979452 | − | 0.0565487i | ||||
\(711\) | 20.7534 | + | 38.0388i | 0.778314 | + | 1.42656i | ||||
\(712\) | −1.48036 | + | 1.24217i | −0.0554789 | + | 0.0465523i | ||||
\(713\) | −3.95787 | + | 3.32105i | −0.148223 | + | 0.124374i | ||||
\(714\) | −11.5405 | − | 11.8226i | −0.431892 | − | 0.442451i | ||||
\(715\) | 10.3479 | − | 5.97435i | 0.386989 | − | 0.223428i | ||||
\(716\) | −30.4646 | − | 11.0882i | −1.13851 | − | 0.414385i | ||||
\(717\) | −35.4229 | − | 17.0417i | −1.32289 | − | 0.636434i | ||||
\(718\) | −58.7202 | + | 10.3540i | −2.19142 | + | 0.386406i | ||||
\(719\) | 10.4822 | + | 28.7995i | 0.390919 | + | 1.07404i | 0.966583 | + | 0.256354i | \(0.0825212\pi\) |
−0.575664 | + | 0.817686i | \(0.695257\pi\) | |||||||
\(720\) | 6.07223 | − | 2.04545i | 0.226299 | − | 0.0762294i | ||||
\(721\) | 4.62614i | 0.172286i | ||||||||
\(722\) | −28.4748 | + | 23.8800i | −1.05972 | + | 0.888723i | ||||
\(723\) | 11.6286 | − | 41.3926i | 0.432472 | − | 1.53941i | ||||
\(724\) | 13.7079 | − | 16.3364i | 0.509448 | − | 0.607137i | ||||
\(725\) | −5.08821 | + | 1.85196i | −0.188971 | + | 0.0687799i | ||||
\(726\) | 3.44533 | − | 34.5674i | 0.127868 | − | 1.28291i | ||||
\(727\) | −7.08739 | + | 40.1946i | −0.262857 | + | 1.49073i | 0.512213 | + | 0.858859i | \(0.328826\pi\) |
−0.775069 | + | 0.631876i | \(0.782285\pi\) | |||||||
\(728\) | 1.18516 | − | 3.25619i | 0.0439248 | − | 0.120682i | ||||
\(729\) | 24.2986 | − | 11.7719i | 0.899948 | − | 0.435998i | ||||
\(730\) | −0.105397 | − | 0.0608507i | −0.00390090 | − | 0.00225219i | ||||
\(731\) | −7.72170 | − | 9.20236i | −0.285597 | − | 0.340362i | ||||
\(732\) | −31.5987 | + | 14.2728i | −1.16792 | + | 0.527537i | ||||
\(733\) | 16.4021 | − | 28.4094i | 0.605827 | − | 1.04932i | −0.386093 | − | 0.922460i | \(-0.626176\pi\) |
0.991920 | − | 0.126864i | \(-0.0404910\pi\) | |||||||
\(734\) | 11.4808 | + | 19.8854i | 0.423765 | + | 0.733982i | ||||
\(735\) | −1.61863 | + | 2.25324i | −0.0597042 | + | 0.0831120i | ||||
\(736\) | 26.0259 | + | 4.58908i | 0.959329 | + | 0.169156i | ||||
\(737\) | −0.331533 | − | 1.88022i | −0.0122122 | − | 0.0692587i | ||||
\(738\) | 57.5675 | + | 11.5906i | 2.11909 | + | 0.426657i | ||||
\(739\) | 6.98259 | + | 5.85908i | 0.256859 | + | 0.215530i | 0.762119 | − | 0.647437i | \(-0.224159\pi\) |
−0.505260 | + | 0.862967i | \(0.668604\pi\) | |||||||
\(740\) | 2.96279 | 0.108914 | ||||||||
\(741\) | 36.0568 | − | 16.2806i | 1.32458 | − | 0.598081i | ||||
\(742\) | 37.4972 | 1.37657 | ||||||||
\(743\) | −11.0957 | − | 9.31040i | −0.407062 | − | 0.341565i | 0.416154 | − | 0.909294i | \(-0.363378\pi\) |
−0.823216 | + | 0.567729i | \(0.807822\pi\) | |||||||
\(744\) | −0.0673403 | − | 0.893901i | −0.00246882 | − | 0.0327720i | ||||
\(745\) | 0.352295 | + | 1.99796i | 0.0129071 | + | 0.0731997i | ||||
\(746\) | 46.8896 | + | 8.26790i | 1.71675 | + | 0.302709i | ||||
\(747\) | −16.3788 | + | 13.0826i | −0.599268 | + | 0.478668i | ||||
\(748\) | 10.5820 | + | 18.3286i | 0.386916 | + | 0.670159i | ||||
\(749\) | 8.35312 | − | 14.4680i | 0.305216 | − | 0.528650i | ||||
\(750\) | 6.72881 | + | 14.8970i | 0.245701 | + | 0.543962i | ||||
\(751\) | −29.2589 | − | 34.8694i | −1.06767 | − | 1.27240i | −0.960535 | − | 0.278160i | \(-0.910275\pi\) |
−0.107139 | − | 0.994244i | \(-0.534169\pi\) | |||||||
\(752\) | −22.2638 | − | 12.8540i | −0.811877 | − | 0.468737i | ||||
\(753\) | −27.0692 | + | 6.90393i | −0.986455 | + | 0.251593i | ||||
\(754\) | −3.99155 | + | 10.9667i | −0.145364 | + | 0.399384i | ||||
\(755\) | 1.81314 | − | 10.2828i | 0.0659869 | − | 0.374230i | ||||
\(756\) | −11.0920 | + | 14.6792i | −0.403412 | + | 0.533878i | ||||
\(757\) | 35.3771 | − | 12.8762i | 1.28580 | − | 0.467994i | 0.393455 | − | 0.919344i | \(-0.371280\pi\) |
0.892347 | + | 0.451350i | \(0.149057\pi\) | |||||||
\(758\) | −6.46749 | + | 7.70765i | −0.234910 | + | 0.279954i | ||||
\(759\) | 26.1661 | + | 7.35096i | 0.949770 | + | 0.266823i | ||||
\(760\) | 0.735085 | 9.96935e-5i | 0.0266643 | 3.61626e-6i | ||||||
\(761\) | 10.5310i | 0.381748i | 0.981615 | + | 0.190874i | \(0.0611322\pi\) | ||||
−0.981615 | + | 0.190874i | \(0.938868\pi\) | |||||||
\(762\) | −23.8764 | + | 16.2924i | −0.864952 | + | 0.590210i | ||||
\(763\) | 3.02558 | + | 8.31271i | 0.109533 | + | 0.300940i | ||||
\(764\) | 5.13939 | − | 0.906213i | 0.185937 | − | 0.0327857i | ||||
\(765\) | −2.46659 | + | 2.79940i | −0.0891799 | + | 0.101213i | ||||
\(766\) | 21.2825 | + | 7.74620i | 0.768968 | + | 0.279882i | ||||
\(767\) | 1.02042 | − | 0.589141i | 0.0368453 | − | 0.0212726i | ||||
\(768\) | −22.8241 | + | 22.2795i | −0.823595 | + | 0.803941i | ||||
\(769\) | 33.7073 | − | 28.2837i | 1.21551 | − | 1.01994i | 0.216468 | − | 0.976290i | \(-0.430546\pi\) |
0.999047 | − | 0.0436483i | \(-0.0138981\pi\) | |||||||
\(770\) | −6.62626 | + | 5.56009i | −0.238794 | + | 0.200372i | ||||
\(771\) | 17.7119 | − | 17.2893i | 0.637879 | − | 0.622657i | ||||
\(772\) | 11.8715 | − | 6.85400i | 0.427264 | − | 0.246681i | ||||
\(773\) | −5.44057 | − | 1.98021i | −0.195684 | − | 0.0712231i | 0.242319 | − | 0.970197i | \(-0.422092\pi\) |
−0.438003 | + | 0.898974i | \(0.644314\pi\) | |||||||
\(774\) | −18.5326 | + | 21.0331i | −0.666139 | + | 0.756019i | ||||
\(775\) | 7.10870 | − | 1.25346i | 0.255352 | − | 0.0450255i | ||||
\(776\) | 0.815958 | + | 2.24182i | 0.0292912 | + | 0.0804768i | ||||
\(777\) | 9.10436 | − | 6.21247i | 0.326617 | − | 0.222871i | ||||
\(778\) | 47.1013i | 1.68866i | ||||||||
\(779\) | 37.7750 | + | 21.8162i | 1.35343 | + | 0.781647i | ||||
\(780\) | 7.89022 | + | 2.21663i | 0.282515 | + | 0.0793681i | ||||
\(781\) | −9.23120 | + | 11.0013i | −0.330318 | + | 0.393658i | ||||
\(782\) | −15.7306 | + | 5.72546i | −0.562524 | + | 0.204742i | ||||
\(783\) | −3.56697 | + | 4.72055i | −0.127473 | + | 0.168699i | ||||
\(784\) | 2.42841 | − | 13.7722i | 0.0867289 | − | 0.491864i | ||||
\(785\) | −1.04776 | + | 2.87869i | −0.0373961 | + | 0.102745i | ||||
\(786\) | 49.1763 | − | 12.5423i | 1.75406 | − | 0.447370i | ||||
\(787\) | 0.385641 | + | 0.222650i | 0.0137466 | + | 0.00793662i | 0.506858 | − | 0.862030i | \(-0.330807\pi\) |
−0.493111 | + | 0.869966i | \(0.664140\pi\) | |||||||
\(788\) | 18.8513 | + | 22.4661i | 0.671549 | + | 0.800321i | ||||
\(789\) | 9.16881 | + | 20.2990i | 0.326418 | + | 0.722663i | ||||
\(790\) | −6.98665 | + | 12.1012i | −0.248574 | + | 0.430542i | ||||
\(791\) | 8.63826 | + | 14.9619i | 0.307141 | + | 0.531984i | ||||
\(792\) | −3.68457 | + | 2.94307i | −0.130926 | + | 0.104577i | ||||
\(793\) | 56.5840 | + | 9.97729i | 2.00936 | + | 0.354304i | ||||
\(794\) | 4.26137 | + | 24.1674i | 0.151230 | + | 0.857670i | ||||
\(795\) | −0.636122 | − | 8.44412i | −0.0225609 | − | 0.299482i | ||||
\(796\) | 8.85834 | + | 7.43303i | 0.313976 | + | 0.263457i | ||||
\(797\) | −25.7666 | −0.912699 | −0.456349 | − | 0.889801i | \(-0.650843\pi\) | ||||
−0.456349 | + | 0.889801i | \(0.650843\pi\) | |||||||
\(798\) | −23.6593 | + | 16.1395i | −0.837531 | + | 0.571332i | ||||
\(799\) | 14.9697 | 0.529589 | ||||||||
\(800\) | −28.2840 | − | 23.7331i | −0.999989 | − | 0.839091i | ||||
\(801\) | −16.6688 | − | 3.35609i | −0.588962 | − | 0.118582i | ||||
\(802\) | 7.48697 | + | 42.4607i | 0.264374 | + | 1.49934i | ||||
\(803\) | 0.571157 | + | 0.100710i | 0.0201557 | + | 0.00355400i | ||||
\(804\) | 0.764023 | − | 1.06357i | 0.0269450 | − | 0.0375092i | ||||
\(805\) | −1.63253 | − | 2.82763i | −0.0575392 | − | 0.0996608i | ||||
\(806\) | 7.77893 | − | 13.4735i | 0.274001 | − | 0.474584i | ||||
\(807\) | 44.5917 | − | 20.1416i | 1.56970 | − | 0.709016i | ||||
\(808\) | −2.38482 | − | 2.84212i | −0.0838978 | − | 0.0999855i | ||||
\(809\) | −21.3495 | − | 12.3261i | −0.750608 | − | 0.433364i | 0.0753057 | − | 0.997160i | \(-0.476007\pi\) |
−0.825913 | + | 0.563797i | \(0.809340\pi\) | |||||||
\(810\) | 7.32126 | + | 4.71235i | 0.257243 | + | 0.165575i | ||||
\(811\) | −5.65228 | + | 15.5295i | −0.198478 | + | 0.545315i | −0.998506 | − | 0.0546487i | \(-0.982596\pi\) |
0.800027 | + | 0.599964i | \(0.204818\pi\) | |||||||
\(812\) | 0.700116 | − | 3.97056i | 0.0245693 | − | 0.139339i | ||||
\(813\) | 0.00600765 | − | 0.0602755i | 0.000210698 | − | 0.00211395i | ||||
\(814\) | −27.8023 | + | 10.1192i | −0.974468 | + | 0.354678i | ||||
\(815\) | −0.542433 | + | 0.646446i | −0.0190006 | + | 0.0226440i | ||||
\(816\) | 5.08662 | − | 18.1061i | 0.178067 | − | 0.633841i | ||||
\(817\) | −18.0358 | + | 10.4097i | −0.630992 | + | 0.364189i | ||||
\(818\) | 26.3657i | 0.921853i | ||||||||
\(819\) | 28.8937 | − | 9.73294i | 1.00963 | − | 0.340097i | ||||
\(820\) | 3.09076 | + | 8.49179i | 0.107934 | + | 0.296546i | ||||
\(821\) | −9.59543 | + | 1.69193i | −0.334883 | + | 0.0590488i | −0.338561 | − | 0.940944i | \(-0.609940\pi\) |
0.00367851 | + | 0.999993i | \(0.498829\pi\) | |||||||
\(822\) | −5.62970 | − | 2.70841i | −0.196358 | − | 0.0944666i | ||||
\(823\) | −38.3969 | − | 13.9753i | −1.33843 | − | 0.487150i | −0.429114 | − | 0.903250i | \(-0.641174\pi\) |
−0.909318 | + | 0.416101i | \(0.863396\pi\) | |||||||
\(824\) | −0.704322 | + | 0.406640i | −0.0245362 | + | 0.0141660i | ||||
\(825\) | −26.5242 | − | 27.1727i | −0.923455 | − | 0.946031i | ||||
\(826\) | −0.653427 | + | 0.548290i | −0.0227356 | + | 0.0190775i | ||||
\(827\) | 13.5381 | − | 11.3598i | 0.470765 | − | 0.395019i | −0.376309 | − | 0.926494i | \(-0.622807\pi\) |
0.847074 | + | 0.531476i | \(0.178362\pi\) | |||||||
\(828\) | 8.92854 | + | 16.3650i | 0.310288 | + | 0.568725i | ||||
\(829\) | −24.9946 | + | 14.4306i | −0.868097 | + | 0.501196i | −0.866715 | − | 0.498803i | \(-0.833773\pi\) |
−0.00138139 | + | 0.999999i | \(0.500440\pi\) | |||||||
\(830\) | −6.35209 | − | 2.31197i | −0.220484 | − | 0.0802497i | ||||
\(831\) | −9.35013 | + | 19.4352i | −0.324352 | + | 0.674199i | ||||
\(832\) | −33.8011 | + | 5.96005i | −1.17184 | + | 0.206627i | ||||
\(833\) | 2.78514 | + | 7.65211i | 0.0964994 | + | 0.265130i | ||||
\(834\) | −7.76927 | − | 11.3858i | −0.269028 | − | 0.394260i | ||||
\(835\) | − | 2.62850i | − | 0.0909629i | ||||||
\(836\) | 34.4770 | − | 12.5433i | 1.19241 | − | 0.433820i | ||||
\(837\) | 5.77561 | − | 5.37161i | 0.199634 | − | 0.185670i | ||||
\(838\) | 44.8816 | − | 53.4878i | 1.55041 | − | 1.84771i | ||||
\(839\) | 5.37586 | − | 1.95665i | 0.185595 | − | 0.0675511i | −0.247551 | − | 0.968875i | \(-0.579626\pi\) |
0.433146 | + | 0.901324i | \(0.357403\pi\) | |||||||
\(840\) | 0.563710 | + | 0.0561849i | 0.0194498 | + | 0.00193856i | ||||
\(841\) | −4.81065 | + | 27.2826i | −0.165885 | + | 0.940778i | ||||
\(842\) | −1.06228 | + | 2.91859i | −0.0366086 | + | 0.100581i | ||||
\(843\) | −12.8792 | − | 50.4973i | −0.443584 | − | 1.73922i | ||||
\(844\) | −17.3641 | − | 10.0251i | −0.597696 | − | 0.345080i | ||||
\(845\) | −4.59683 | − | 5.47829i | −0.158136 | − | 0.188459i | ||||
\(846\) | −5.23352 | − | 34.5387i | −0.179932 | − | 1.18747i | ||||
\(847\) | 9.94371 | − | 17.2230i | 0.341670 | − | 0.591790i | ||||
\(848\) | 21.3424 | + | 36.9660i | 0.732900 | + | 1.26942i | ||||
\(849\) | −38.5847 | − | 27.7176i | −1.32422 | − | 0.951266i | ||||
\(850\) | 23.0325 | + | 4.06126i | 0.790009 | + | 0.139300i | ||||
\(851\) | −1.93928 | − | 10.9982i | −0.0664778 | − | 0.377014i | ||||
\(852\) | −9.82258 | + | 0.739965i | −0.336516 | + | 0.0253508i | ||||
\(853\) | 16.3156 | + | 13.6904i | 0.558634 | + | 0.468750i | 0.877852 | − | 0.478932i | \(-0.158976\pi\) |
−0.319218 | + | 0.947681i | \(0.603420\pi\) | |||||||
\(854\) | −41.5946 | −1.42334 | ||||||||
\(855\) | 4.03588 | + | 5.05412i | 0.138024 | + | 0.172847i | ||||
\(856\) | 2.93698 | 0.100384 | ||||||||
\(857\) | 36.9941 | + | 31.0418i | 1.26370 | + | 1.06037i | 0.995278 | + | 0.0970637i | \(0.0309451\pi\) |
0.268417 | + | 0.963303i | \(0.413499\pi\) | |||||||
\(858\) | −81.6109 | + | 6.14800i | −2.78615 | + | 0.209889i | ||||
\(859\) | −6.19245 | − | 35.1191i | −0.211284 | − | 1.19825i | −0.887240 | − | 0.461307i | \(-0.847381\pi\) |
0.675957 | − | 0.736941i | \(-0.263731\pi\) | |||||||
\(860\) | −4.24842 | − | 0.749112i | −0.144870 | − | 0.0255445i | ||||
\(861\) | 27.3034 | + | 19.6136i | 0.930498 | + | 0.668430i | ||||
\(862\) | −8.77145 | − | 15.1926i | −0.298757 | − | 0.517462i | ||||
\(863\) | 0.711785 | − | 1.23285i | 0.0242294 | − | 0.0419666i | −0.853656 | − | 0.520837i | \(-0.825620\pi\) |
0.877886 | + | 0.478870i | \(0.158953\pi\) | |||||||
\(864\) | −40.0372 | − | 4.96959i | −1.36209 | − | 0.169069i | ||||
\(865\) | −3.66588 | − | 4.36883i | −0.124644 | − | 0.148545i | ||||
\(866\) | 21.5799 | + | 12.4591i | 0.733313 | + | 0.423379i | ||||
\(867\) | −4.57044 | − | 17.9199i | −0.155220 | − | 0.608593i | ||||
\(868\) | −1.83828 | + | 5.05063i | −0.0623953 | + | 0.171430i | ||||
\(869\) | 11.5632 | − | 65.5781i | 0.392254 | − | 2.22459i | ||||
\(870\) | −1.89855 | − | 0.189228i | −0.0643668 | − | 0.00641544i | ||||
\(871\) | −2.03921 | + | 0.742212i | −0.0690960 | + | 0.0251489i | ||||
\(872\) | −0.999646 | + | 1.19133i | −0.0338523 | + | 0.0403436i | ||||
\(873\) | −10.9315 | + | 17.9200i | −0.369974 | + | 0.606502i | ||||
\(874\) | 5.03524 | + | 28.5789i | 0.170319 | + | 0.966696i | ||||
\(875\) | 9.35799i | 0.316358i | ||||||||
\(876\) | 0.224219 | + | 0.328593i | 0.00757566 | + | 0.0111021i | ||||
\(877\) | −2.02335 | − | 5.55910i | −0.0683236 | − | 0.187718i | 0.900832 | − | 0.434169i | \(-0.142958\pi\) |
−0.969155 | + | 0.246451i | \(0.920736\pi\) | |||||||
\(878\) | −9.24067 | + | 1.62938i | −0.311857 | + | 0.0549889i | ||||
\(879\) | −6.67048 | + | 13.8653i | −0.224990 | + | 0.467664i | ||||
\(880\) | −9.25281 | − | 3.36775i | −0.311912 | − | 0.113527i | ||||
\(881\) | −0.195705 | + | 0.112990i | −0.00659346 | + | 0.00380673i | −0.503293 | − | 0.864116i | \(-0.667878\pi\) |
0.496700 | + | 0.867922i | \(0.334545\pi\) | |||||||
\(882\) | 16.6816 | − | 9.10125i | 0.561699 | − | 0.306455i | ||||
\(883\) | −0.614505 | + | 0.515631i | −0.0206797 | + | 0.0173524i | −0.653069 | − | 0.757298i | \(-0.726519\pi\) |
0.632389 | + | 0.774651i | \(0.282074\pi\) | |||||||
\(884\) | 18.4277 | − | 15.4627i | 0.619791 | − | 0.520066i | ||||
\(885\) | 0.134556 | + | 0.137846i | 0.00452306 | + | 0.00463364i | ||||
\(886\) | 14.3253 | − | 8.27071i | 0.481268 | − | 0.277860i | ||||
\(887\) | 42.0903 | + | 15.3196i | 1.41325 | + | 0.514382i | 0.932083 | − | 0.362246i | \(-0.117990\pi\) |
0.481170 | + | 0.876627i | \(0.340212\pi\) | |||||||
\(888\) | 1.74612 | + | 0.840044i | 0.0585958 | + | 0.0281900i | ||||
\(889\) | −16.2966 | + | 2.87353i | −0.546571 | + | 0.0963751i | ||||
\(890\) | −1.87532 | − | 5.15240i | −0.0628609 | − | 0.172709i | ||||
\(891\) | −40.4661 | − | 9.16951i | −1.35566 | − | 0.307190i | ||||
\(892\) | 42.8047i | 1.43321i | ||||||||
\(893\) | 4.50963 | − | 25.5551i | 0.150909 | − | 0.855170i | ||||
\(894\) | 3.75839 | − | 13.3782i | 0.125699 | − | 0.447434i | ||||
\(895\) | −5.64560 | + | 6.72817i | −0.188712 | + | 0.224898i | ||||
\(896\) | −4.95229 | + | 1.80249i | −0.165444 | + | 0.0602169i | ||||
\(897\) | 3.06388 | − | 30.7403i | 0.102300 | − | 1.02639i | ||||
\(898\) | 1.55756 | − | 8.83339i | 0.0519766 | − | 0.294774i | ||||
\(899\) | −0.591155 | + | 1.62419i | −0.0197161 | + | 0.0541696i | ||||
\(900\) | 0.628954 | − | 26.0377i | 0.0209651 | − | 0.867924i | ||||
\(901\) | −21.5252 | − | 12.4276i | −0.717108 | − | 0.414022i | ||||
\(902\) | −58.0061 | − | 69.1290i | −1.93139 | − | 2.30174i | ||||
\(903\) | −14.6257 | + | 6.60627i | −0.486714 | + | 0.219843i | ||||
\(904\) | −1.51862 | + | 2.63032i | −0.0505084 | + | 0.0874832i | ||||
\(905\) | −2.88872 | − | 5.00341i | −0.0960244 | − | 0.166319i | ||||
\(906\) | −41.7256 | + | 58.0848i | −1.38624 | + | 1.92974i | ||||
\(907\) | −20.9386 | − | 3.69204i | −0.695256 | − | 0.122592i | −0.185158 | − | 0.982709i | \(-0.559280\pi\) |
−0.510098 | + | 0.860116i | \(0.670391\pi\) | |||||||
\(908\) | 0.267701 | + | 1.51821i | 0.00888397 | + | 0.0503835i | ||||
\(909\) | 6.44330 | − | 32.0021i | 0.213711 | − | 1.06144i | ||||
\(910\) | 7.53161 | + | 6.31977i | 0.249671 | + | 0.209498i | ||||
\(911\) | −40.5821 | −1.34454 | −0.672272 | − | 0.740304i | \(-0.734681\pi\) | ||||
−0.672272 | + | 0.740304i | \(0.734681\pi\) | |||||||
\(912\) | −29.3771 | − | 14.1380i | −0.972773 | − | 0.468156i | ||||
\(913\) | 32.2136 | 1.06612 | ||||||||
\(914\) | −12.5700 | − | 10.5475i | −0.415778 | − | 0.348880i | ||||
\(915\) | 0.705631 | + | 9.36681i | 0.0233274 | + | 0.309657i | ||||
\(916\) | 2.07242 | + | 11.7533i | 0.0684745 | + | 0.388338i | ||||
\(917\) | 28.6127 | + | 5.04518i | 0.944873 | + | 0.166607i | ||||
\(918\) | 23.5373 | − | 9.95436i | 0.776847 | − | 0.328543i | ||||
\(919\) | 22.2065 | + | 38.4628i | 0.732526 | + | 1.26877i | 0.955800 | + | 0.294016i | \(0.0949919\pi\) |
−0.223275 | + | 0.974756i | \(0.571675\pi\) | |||||||
\(920\) | 0.287001 | − | 0.497100i | 0.00946214 | − | 0.0163889i | ||||
\(921\) | 16.3483 | + | 36.1938i | 0.538695 | + | 1.19263i | ||||
\(922\) | 31.5838 | + | 37.6401i | 1.04016 | + | 1.23961i | ||||
\(923\) | 14.1365 | + | 8.16169i | 0.465307 | + | 0.268645i | ||||
\(924\) | 27.3970 | − | 6.98754i | 0.901294 | − | 0.229873i | ||||
\(925\) | −5.33647 | + | 14.6618i | −0.175462 | + | 0.482078i | ||||
\(926\) | −3.64171 | + | 20.6531i | −0.119674 | + | 0.678704i | ||||
\(927\) | −6.66320 | − | 2.60910i | −0.218848 | − | 0.0856941i | ||||
\(928\) | 8.30774 | − | 3.02377i | 0.272715 | − | 0.0992602i | ||||
\(929\) | 38.4969 | − | 45.8788i | 1.26304 | − | 1.50524i | 0.488724 | − | 0.872438i | \(-0.337462\pi\) |
0.774318 | − | 0.632797i | \(-0.218093\pi\) | |||||||
\(930\) | 2.44868 | + | 0.687919i | 0.0802955 | + | 0.0225578i | ||||
\(931\) | 13.9022 | − | 2.44938i | 0.455625 | − | 0.0802753i | ||||
\(932\) | 49.0449i | 1.60652i | ||||||||
\(933\) | −20.8132 | + | 14.2021i | −0.681393 | + | 0.464957i | ||||
\(934\) | −2.21186 | − | 6.07702i | −0.0723741 | − | 0.198846i | ||||
\(935\) | 5.64655 | − | 0.995639i | 0.184662 | − | 0.0325609i | ||||
\(936\) | 4.02160 | + | 3.54349i | 0.131450 | + | 0.115823i | ||||
\(937\) | −21.7752 | − | 7.92551i | −0.711364 | − | 0.258915i | −0.0391088 | − | 0.999235i | \(-0.512452\pi\) |
−0.672255 | + | 0.740320i | \(0.734674\pi\) | |||||||
\(938\) | 1.36051 | − | 0.785489i | 0.0444221 | − | 0.0256471i | ||||
\(939\) | 21.7347 | − | 21.2161i | 0.709286 | − | 0.692360i | ||||
\(940\) | 4.11810 | − | 3.45550i | 0.134318 | − | 0.112706i | ||||
\(941\) | −6.76374 | + | 5.67545i | −0.220492 | + | 0.185014i | −0.746342 | − | 0.665563i | \(-0.768192\pi\) |
0.525850 | + | 0.850577i | \(0.323747\pi\) | |||||||
\(942\) | 15.0153 | − | 14.6569i | 0.489223 | − | 0.477549i | ||||
\(943\) | 29.4994 | − | 17.0315i | 0.960634 | − | 0.554622i | ||||
\(944\) | −0.912435 | − | 0.332099i | −0.0296972 | − | 0.0108089i | ||||
\(945\) | 2.70923 | + | 4.18392i | 0.0881312 | + | 0.136103i | ||||
\(946\) | 42.4249 | − | 7.48065i | 1.37935 | − | 0.243217i | ||||
\(947\) | 7.64505 | + | 21.0046i | 0.248431 | + | 0.682558i | 0.999744 | + | 0.0226124i | \(0.00719837\pi\) |
−0.751314 | + | 0.659945i | \(0.770579\pi\) | |||||||
\(948\) | 37.7278 | − | 25.7440i | 1.22534 | − | 0.836125i | ||||
\(949\) | − | 0.659210i | − | 0.0213989i | ||||||
\(950\) | 13.8717 | − | 38.0960i | 0.450056 | − | 1.23600i | ||||
\(951\) | 29.4490 | + | 8.27323i | 0.954949 | + | 0.268278i | ||||
\(952\) | 1.06881 | − | 1.27376i | 0.0346405 | − | 0.0412829i | ||||
\(953\) | 7.48437 | − | 2.72409i | 0.242443 | − | 0.0882419i | −0.217941 | − | 0.975962i | \(-0.569934\pi\) |
0.460384 | + | 0.887720i | \(0.347712\pi\) | |||||||
\(954\) | −21.1481 | + | 54.0087i | −0.684695 | + | 1.74860i | ||||
\(955\) | 0.245507 | − | 1.39234i | 0.00794443 | − | 0.0450551i | ||||
\(956\) | −14.1713 | + | 38.9352i | −0.458331 | + | 1.25925i | ||||
\(957\) | 8.81033 | − | 2.24706i | 0.284797 | − | 0.0726370i | ||||
\(958\) | 10.3199 | + | 5.95819i | 0.333421 | + | 0.192501i | ||||
\(959\) | −2.29894 | − | 2.73977i | −0.0742365 | − | 0.0884716i | ||||
\(960\) | −2.30982 | − | 5.11376i | −0.0745493 | − | 0.165046i | ||||
\(961\) | −14.3479 | + | 24.8513i | −0.462836 | + | 0.801656i | ||||
\(962\) | 16.8145 | + | 29.1235i | 0.542121 | + | 0.938981i | ||||
\(963\) | 16.1278 | + | 20.1912i | 0.519711 | + | 0.650651i | ||||
\(964\) | −44.6307 | − | 7.86960i | −1.43746 | − | 0.253463i | ||||
\(965\) | −0.644879 | − | 3.65729i | −0.0207594 | − | 0.117732i | ||||
\(966\) | 1.67998 | + | 22.3007i | 0.0540526 | + | 0.717515i | ||||
\(967\) | −35.0040 | − | 29.3718i | −1.12565 | − | 0.944534i | −0.126776 | − | 0.991931i | \(-0.540463\pi\) |
−0.998876 | + | 0.0473972i | \(0.984907\pi\) | |||||||
\(968\) | 3.49623 | 0.112373 | ||||||||
\(969\) | 18.9306 | − | 1.42352i | 0.608139 | − | 0.0457301i | ||||
\(970\) | −6.76902 | −0.217340 | ||||||||
\(971\) | −35.3393 | − | 29.6532i | −1.13409 | − | 0.951616i | −0.134862 | − | 0.990864i | \(-0.543059\pi\) |
−0.999229 | + | 0.0392486i | \(0.987504\pi\) | |||||||
\(972\) | −14.8873 | − | 24.2552i | −0.477510 | − | 0.777985i | ||||
\(973\) | −1.37029 | − | 7.77129i | −0.0439294 | − | 0.249136i | ||||
\(974\) | 4.18477 | + | 0.737889i | 0.134089 | + | 0.0236435i | ||||
\(975\) | −25.1809 | + | 35.0534i | −0.806434 | + | 1.12261i | ||||
\(976\) | −23.6744 | − | 41.0053i | −0.757800 | − | 1.31255i | ||||
\(977\) | 19.4513 | − | 33.6907i | 0.622303 | − | 1.07786i | −0.366753 | − | 0.930318i | \(-0.619531\pi\) |
0.989056 | − | 0.147541i | \(-0.0471360\pi\) | |||||||
\(978\) | 5.26766 | − | 2.37934i | 0.168441 | − | 0.0760829i | ||||
\(979\) | 16.7958 | + | 20.0164i | 0.536795 | + | 0.639727i | ||||
\(980\) | 2.53254 | + | 1.46217i | 0.0808992 | + | 0.0467072i | ||||
\(981\) | −13.6795 | − | 0.330435i | −0.436753 | − | 0.0105500i | ||||
\(982\) | 21.6789 | − | 59.5622i | 0.691801 | − | 1.90071i | ||||
\(983\) | −1.40399 | + | 7.96240i | −0.0447802 | + | 0.253961i | −0.998977 | − | 0.0452181i | \(-0.985602\pi\) |
0.954197 | + | 0.299179i | \(0.0967128\pi\) | |||||||
\(984\) | −0.586154 | + | 5.88095i | −0.0186859 | + | 0.187478i | ||||
\(985\) | 7.46608 | − | 2.71743i | 0.237889 | − | 0.0865846i | ||||
\(986\) | −3.59972 | + | 4.28998i | −0.114638 | + | 0.136621i | ||||
\(987\) | 5.40892 | − | 19.2533i | 0.172168 | − | 0.612841i | ||||
\(988\) | −20.8454 | − | 36.1166i | −0.663180 | − | 1.14902i | ||||
\(989\) | 16.2610i | 0.517069i | ||||||||
\(990\) | −4.27127 | − | 12.6799i | −0.135750 | − | 0.402994i | ||||
\(991\) | 12.3895 | + | 34.0400i | 0.393567 | + | 1.08132i | 0.965361 | + | 0.260918i | \(0.0840253\pi\) |
−0.571794 | + | 0.820397i | \(0.693752\pi\) | |||||||
\(992\) | −11.6067 | + | 2.04657i | −0.368513 | + | 0.0649788i | ||||
\(993\) | 6.66368 | + | 3.20585i | 0.211466 | + | 0.101735i | ||||
\(994\) | −11.1043 | − | 4.04162i | −0.352206 | − | 0.128192i | ||||
\(995\) | 2.71308 | − | 1.56640i | 0.0860105 | − | 0.0496582i | ||||
\(996\) | 15.4341 | + | 15.8114i | 0.489047 | + | 0.501003i | ||||
\(997\) | −20.3418 | + | 17.0688i | −0.644231 | + | 0.540574i | −0.905314 | − | 0.424742i | \(-0.860365\pi\) |
0.261083 | + | 0.965316i | \(0.415920\pi\) | |||||||
\(998\) | 24.3017 | − | 20.3916i | 0.769258 | − | 0.645484i | ||||
\(999\) | 3.81328 | + | 16.6171i | 0.120647 | + | 0.525743i |
(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 | 57.2.j.b.41.4 | yes | 24 | |
3.2 | odd | 2 | inner | 57.2.j.b.41.1 | yes | 24 | |
4.3 | odd | 2 | 912.2.cc.e.497.4 | 24 | |||
12.11 | even | 2 | 912.2.cc.e.497.1 | 24 | |||
19.5 | even | 9 | 1083.2.d.d.1082.20 | 24 | |||
19.13 | odd | 18 | inner | 57.2.j.b.32.1 | ✓ | 24 | |
19.14 | odd | 18 | 1083.2.d.d.1082.6 | 24 | |||
57.5 | odd | 18 | 1083.2.d.d.1082.5 | 24 | |||
57.14 | even | 18 | 1083.2.d.d.1082.19 | 24 | |||
57.32 | even | 18 | inner | 57.2.j.b.32.4 | yes | 24 | |
76.51 | even | 18 | 912.2.cc.e.545.1 | 24 | |||
228.203 | odd | 18 | 912.2.cc.e.545.4 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
57.2.j.b.32.1 | ✓ | 24 | 19.13 | odd | 18 | inner | |
57.2.j.b.32.4 | yes | 24 | 57.32 | even | 18 | inner | |
57.2.j.b.41.1 | yes | 24 | 3.2 | odd | 2 | inner | |
57.2.j.b.41.4 | yes | 24 | 1.1 | even | 1 | trivial | |
912.2.cc.e.497.1 | 24 | 12.11 | even | 2 | |||
912.2.cc.e.497.4 | 24 | 4.3 | odd | 2 | |||
912.2.cc.e.545.1 | 24 | 76.51 | even | 18 | |||
912.2.cc.e.545.4 | 24 | 228.203 | odd | 18 | |||
1083.2.d.d.1082.5 | 24 | 57.5 | odd | 18 | |||
1083.2.d.d.1082.6 | 24 | 19.14 | odd | 18 | |||
1083.2.d.d.1082.19 | 24 | 57.14 | even | 18 | |||
1083.2.d.d.1082.20 | 24 | 19.5 | even | 9 |