Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [927,2,Mod(11,927)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(927, base_ring=CyclotomicField(102))
chi = DirichletCharacter(H, H._module([17, 61]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("927.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 927 = 3^{2} \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 927.bg (of order \(102\), degree \(32\), 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: | \(7.40213226737\) |
Analytic rank: | \(0\) |
Dimension: | \(3264\) |
Relative dimension: | \(102\) over \(\Q(\zeta_{102})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{102}]$ |
Embedding invariants
Embedding label | 77.56 | ||
Character | \(\chi\) | \(=\) | 927.77 |
Dual form | 927.2.bg.a.614.56 |
$q$-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 \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).
\(n\) | \(722\) | \(829\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{65}{102}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.224368 | − | 0.0949667i | 0.158652 | − | 0.0671516i | −0.309011 | − | 0.951058i | \(-0.599998\pi\) |
0.467663 | + | 0.883907i | \(0.345096\pi\) | |||||||
\(3\) | 0.463899 | + | 1.66877i | 0.267832 | + | 0.963466i | ||||
\(4\) | −1.35095 | + | 1.39321i | −0.675473 | + | 0.696604i | ||||
\(5\) | −2.45168 | + | 1.73551i | −1.09643 | + | 0.776144i | −0.976258 | − | 0.216610i | \(-0.930500\pi\) |
−0.120168 | + | 0.992754i | \(0.538343\pi\) | |||||||
\(6\) | 0.262562 | + | 0.330363i | 0.107190 | + | 0.134870i | ||||
\(7\) | −1.87506 | + | 0.726402i | −0.708706 | + | 0.274554i | −0.688494 | − | 0.725242i | \(-0.741728\pi\) |
−0.0202114 | + | 0.999796i | \(0.506434\pi\) | |||||||
\(8\) | −0.346825 | + | 0.895257i | −0.122621 | + | 0.316521i | ||||
\(9\) | −2.56960 | + | 1.54828i | −0.856532 | + | 0.516094i | ||||
\(10\) | −0.385263 | + | 0.622221i | −0.121831 | + | 0.196764i | ||||
\(11\) | −0.633228 | + | 0.838529i | −0.190925 | + | 0.252826i | −0.883404 | − | 0.468612i | \(-0.844754\pi\) |
0.692478 | + | 0.721439i | \(0.256519\pi\) | |||||||
\(12\) | −2.95165 | − | 1.60811i | −0.852068 | − | 0.464222i | ||||
\(13\) | −0.223727 | + | 1.44127i | −0.0620507 | + | 0.399738i | 0.936716 | + | 0.350090i | \(0.113849\pi\) |
−0.998767 | + | 0.0496475i | \(0.984190\pi\) | |||||||
\(14\) | −0.351719 | + | 0.341049i | −0.0940008 | + | 0.0911493i | ||||
\(15\) | −4.03350 | − | 3.28620i | −1.04145 | − | 0.848493i | ||||
\(16\) | −0.112321 | − | 3.64564i | −0.0280802 | − | 0.911409i | ||||
\(17\) | 7.33080 | + | 2.58327i | 1.77798 | + | 0.626536i | 0.999998 | − | 0.00175056i | \(-0.000557222\pi\) |
0.777982 | + | 0.628287i | \(0.216243\pi\) | |||||||
\(18\) | −0.429499 | + | 0.591410i | −0.101234 | + | 0.139397i | ||||
\(19\) | 2.06890 | − | 0.127605i | 0.474638 | − | 0.0292747i | 0.177524 | − | 0.984117i | \(-0.443191\pi\) |
0.297114 | + | 0.954842i | \(0.403976\pi\) | |||||||
\(20\) | 0.894162 | − | 5.76029i | 0.199941 | − | 1.28804i | ||||
\(21\) | −2.08204 | − | 2.79207i | −0.454338 | − | 0.609279i | ||||
\(22\) | −0.0624435 | + | 0.248274i | −0.0133130 | + | 0.0529323i | ||||
\(23\) | −1.08629 | − | 8.77268i | −0.226508 | − | 1.82923i | −0.498453 | − | 0.866917i | \(-0.666098\pi\) |
0.271945 | − | 0.962313i | \(-0.412333\pi\) | |||||||
\(24\) | −1.65487 | − | 0.163462i | −0.337799 | − | 0.0333666i | ||||
\(25\) | 1.33698 | − | 3.79407i | 0.267396 | − | 0.758815i | ||||
\(26\) | 0.0866759 | + | 0.344622i | 0.0169985 | + | 0.0675859i | ||||
\(27\) | −3.77576 | − | 3.56982i | −0.726645 | − | 0.687013i | ||||
\(28\) | 1.52107 | − | 3.59368i | 0.287456 | − | 0.679141i | ||||
\(29\) | −2.37330 | + | 5.15852i | −0.440710 | + | 0.957913i | 0.551597 | + | 0.834111i | \(0.314019\pi\) |
−0.992307 | + | 0.123802i | \(0.960491\pi\) | |||||||
\(30\) | −1.21707 | − | 0.354268i | −0.222205 | − | 0.0646802i | ||||
\(31\) | 2.18092 | − | 0.0671934i | 0.391705 | − | 0.0120683i | 0.165654 | − | 0.986184i | \(-0.447026\pi\) |
0.226051 | + | 0.974116i | \(0.427419\pi\) | |||||||
\(32\) | −1.17397 | − | 2.55171i | −0.207531 | − | 0.451083i | ||||
\(33\) | −1.69307 | − | 0.667720i | −0.294725 | − | 0.116235i | ||||
\(34\) | 1.89012 | − | 0.116579i | 0.324153 | − | 0.0199931i | ||||
\(35\) | 3.33637 | − | 5.03509i | 0.563950 | − | 0.851086i | ||||
\(36\) | 1.31430 | − | 5.67163i | 0.219051 | − | 0.945271i | ||||
\(37\) | 6.41628 | + | 7.03832i | 1.05483 | + | 1.15709i | 0.987217 | + | 0.159381i | \(0.0509498\pi\) |
0.0676121 | + | 0.997712i | \(0.478462\pi\) | |||||||
\(38\) | 0.452076 | − | 0.225107i | 0.0733364 | − | 0.0365172i | ||||
\(39\) | −2.50894 | + | 0.295256i | −0.401753 | + | 0.0472788i | ||||
\(40\) | −0.703425 | − | 2.79681i | −0.111221 | − | 0.442214i | ||||
\(41\) | −11.9962 | − | 1.11161i | −1.87349 | − | 0.173604i | −0.905458 | − | 0.424435i | \(-0.860473\pi\) |
−0.968031 | + | 0.250831i | \(0.919296\pi\) | |||||||
\(42\) | −0.732295 | − | 0.428726i | −0.112996 | − | 0.0661538i | ||||
\(43\) | 0.824176 | + | 2.59075i | 0.125686 | + | 0.395085i | 0.995085 | − | 0.0990250i | \(-0.0315724\pi\) |
−0.869399 | + | 0.494110i | \(0.835494\pi\) | |||||||
\(44\) | −0.312790 | − | 2.01503i | −0.0471549 | − | 0.303777i | ||||
\(45\) | 3.61278 | − | 8.25546i | 0.538561 | − | 1.23065i | ||||
\(46\) | −1.07684 | − | 1.86514i | −0.158772 | − | 0.275000i | ||||
\(47\) | 0.502415 | 0.0732848 | 0.0366424 | − | 0.999328i | \(-0.488334\pi\) | ||||
0.0366424 | + | 0.999328i | \(0.488334\pi\) | |||||||
\(48\) | 6.03163 | − | 1.87864i | 0.870591 | − | 0.271159i | ||||
\(49\) | −2.18487 | + | 1.99178i | −0.312125 | + | 0.284539i | ||||
\(50\) | −0.0603356 | − | 0.978236i | −0.00853274 | − | 0.138344i | ||||
\(51\) | −0.910146 | + | 13.4318i | −0.127446 | + | 1.88083i | ||||
\(52\) | −1.70575 | − | 2.25878i | −0.236545 | − | 0.313237i | ||||
\(53\) | 2.84570 | + | 4.29459i | 0.390886 | + | 0.589907i | 0.975120 | − | 0.221679i | \(-0.0711537\pi\) |
−0.584233 | + | 0.811586i | \(0.698605\pi\) | |||||||
\(54\) | −1.18617 | − | 0.442381i | −0.161418 | − | 0.0602005i | ||||
\(55\) | 0.0971978 | − | 3.15478i | 0.0131061 | − | 0.425391i | ||||
\(56\) | − | 1.93059i | − | 0.257987i | ||||||
\(57\) | 1.17270 | + | 3.39332i | 0.155328 | + | 0.449457i | ||||
\(58\) | −0.0426033 | + | 1.38279i | −0.00559408 | + | 0.181569i | ||||
\(59\) | 1.24373 | − | 3.21044i | 0.161920 | − | 0.417964i | −0.827792 | − | 0.561035i | \(-0.810403\pi\) |
0.989712 | + | 0.143071i | \(0.0456976\pi\) | |||||||
\(60\) | 10.0274 | − | 1.18004i | 1.29453 | − | 0.152342i | ||||
\(61\) | −2.81415 | − | 3.28469i | −0.360315 | − | 0.420562i | 0.549553 | − | 0.835459i | \(-0.314798\pi\) |
−0.909868 | + | 0.414897i | \(0.863818\pi\) | |||||||
\(62\) | 0.482947 | − | 0.222191i | 0.0613343 | − | 0.0282183i | ||||
\(63\) | 3.69347 | − | 4.76968i | 0.465334 | − | 0.600923i | ||||
\(64\) | 4.88514 | + | 4.45340i | 0.610643 | + | 0.556675i | ||||
\(65\) | −1.95284 | − | 3.92183i | −0.242220 | − | 0.486443i | ||||
\(66\) | −0.443281 | + | 0.0109702i | −0.0545641 | + | 0.00135034i | ||||
\(67\) | 6.74783 | − | 1.04746i | 0.824379 | − | 0.127967i | 0.272780 | − | 0.962077i | \(-0.412057\pi\) |
0.551599 | + | 0.834109i | \(0.314018\pi\) | |||||||
\(68\) | −13.5026 | + | 6.72347i | −1.63743 | + | 0.815341i | ||||
\(69\) | 14.1357 | − | 5.88241i | 1.70173 | − | 0.708159i | ||||
\(70\) | 0.270408 | − | 1.44656i | 0.0323200 | − | 0.172897i | ||||
\(71\) | −12.4865 | − | 8.83899i | −1.48187 | − | 1.04900i | −0.983268 | − | 0.182165i | \(-0.941689\pi\) |
−0.498604 | − | 0.866830i | \(-0.666154\pi\) | |||||||
\(72\) | −0.494912 | − | 2.83743i | −0.0583259 | − | 0.334395i | ||||
\(73\) | −9.97807 | − | 0.924605i | −1.16785 | − | 0.108217i | −0.509185 | − | 0.860657i | \(-0.670053\pi\) |
−0.658660 | + | 0.752440i | \(0.728877\pi\) | |||||||
\(74\) | 2.10801 | + | 0.969839i | 0.245051 | + | 0.112741i | ||||
\(75\) | 6.95167 | + | 0.471048i | 0.802709 | + | 0.0543920i | ||||
\(76\) | −2.61719 | + | 3.05480i | −0.300212 | + | 0.350409i | ||||
\(77\) | 0.578231 | − | 2.03227i | 0.0658955 | − | 0.231599i | ||||
\(78\) | −0.534887 | + | 0.304512i | −0.0605640 | + | 0.0344792i | ||||
\(79\) | 4.59601 | − | 3.25344i | 0.517091 | − | 0.366041i | −0.289475 | − | 0.957186i | \(-0.593481\pi\) |
0.806566 | + | 0.591145i | \(0.201324\pi\) | |||||||
\(80\) | 6.60242 | + | 8.74301i | 0.738173 | + | 0.977499i | ||||
\(81\) | 4.20565 | − | 7.95692i | 0.467294 | − | 0.884102i | ||||
\(82\) | −2.79712 | + | 0.889829i | −0.308890 | + | 0.0982651i | ||||
\(83\) | −7.69777 | − | 1.19492i | −0.844940 | − | 0.131159i | −0.283804 | − | 0.958882i | \(-0.591596\pi\) |
−0.561136 | + | 0.827723i | \(0.689636\pi\) | |||||||
\(84\) | 6.70265 | + | 0.871222i | 0.731319 | + | 0.0950581i | ||||
\(85\) | −22.4561 | + | 6.38931i | −2.43571 | + | 0.693018i | ||||
\(86\) | 0.430953 | + | 0.503011i | 0.0464709 | + | 0.0542410i | ||||
\(87\) | −9.70936 | − | 1.56746i | −1.04095 | − | 0.168049i | ||||
\(88\) | −0.531081 | − | 0.857725i | −0.0566134 | − | 0.0914337i | ||||
\(89\) | −0.689533 | + | 2.42346i | −0.0730903 | + | 0.256886i | −0.989756 | − | 0.142769i | \(-0.954399\pi\) |
0.916666 | + | 0.399655i | \(0.130870\pi\) | |||||||
\(90\) | 0.0265967 | − | 2.19535i | 0.00280354 | − | 0.231410i | ||||
\(91\) | −0.627443 | − | 2.86499i | −0.0657739 | − | 0.300333i | ||||
\(92\) | 13.6897 | + | 10.3380i | 1.42725 | + | 1.07781i | ||||
\(93\) | 1.12386 | + | 3.60829i | 0.116538 | + | 0.374162i | ||||
\(94\) | 0.112726 | − | 0.0477127i | 0.0116268 | − | 0.00492119i | ||||
\(95\) | −4.85083 | + | 3.90344i | −0.497684 | + | 0.400485i | ||||
\(96\) | 3.71362 | − | 3.14283i | 0.379020 | − | 0.320764i | ||||
\(97\) | −4.85096 | + | 5.66206i | −0.492540 | + | 0.574895i | −0.949171 | − | 0.314761i | \(-0.898076\pi\) |
0.456631 | + | 0.889656i | \(0.349056\pi\) | |||||||
\(98\) | −0.301063 | + | 0.654381i | −0.0304119 | + | 0.0661024i | ||||
\(99\) | 0.328860 | − | 3.13510i | 0.0330517 | − | 0.315089i | ||||
\(100\) | 3.47975 | + | 6.98828i | 0.347975 | + | 0.698828i | ||||
\(101\) | −0.727590 | − | 1.71900i | −0.0723979 | − | 0.171047i | 0.880727 | − | 0.473625i | \(-0.157055\pi\) |
−0.953125 | + | 0.302578i | \(0.902153\pi\) | |||||||
\(102\) | 1.07137 | + | 3.10010i | 0.106081 | + | 0.306955i | ||||
\(103\) | 9.27506 | − | 4.11987i | 0.913898 | − | 0.405943i | ||||
\(104\) | −1.21272 | − | 0.700163i | −0.118917 | − | 0.0686566i | ||||
\(105\) | 9.95016 | + | 3.23187i | 0.971036 | + | 0.315398i | ||||
\(106\) | 1.04632 | + | 0.693320i | 0.101628 | + | 0.0673412i | ||||
\(107\) | −2.92188 | + | 11.6173i | −0.282469 | + | 1.12309i | 0.649445 | + | 0.760409i | \(0.275001\pi\) |
−0.931913 | + | 0.362681i | \(0.881861\pi\) | |||||||
\(108\) | 10.0744 | − | 0.437787i | 0.969405 | − | 0.0421261i | ||||
\(109\) | 1.68928 | − | 0.595279i | 0.161804 | − | 0.0570174i | −0.250228 | − | 0.968187i | \(-0.580506\pi\) |
0.412032 | + | 0.911170i | \(0.364819\pi\) | |||||||
\(110\) | −0.277791 | − | 0.717062i | −0.0264864 | − | 0.0683692i | ||||
\(111\) | −8.76884 | + | 13.9724i | −0.832302 | + | 1.32620i | ||||
\(112\) | 2.85881 | + | 6.75419i | 0.270132 | + | 0.638211i | ||||
\(113\) | 0.276489 | − | 0.148471i | 0.0260099 | − | 0.0139670i | −0.460037 | − | 0.887900i | \(-0.652164\pi\) |
0.486047 | + | 0.873933i | \(0.338438\pi\) | |||||||
\(114\) | 0.585370 | + | 0.649984i | 0.0548249 | + | 0.0608766i | ||||
\(115\) | 17.8883 | + | 19.6226i | 1.66809 | + | 1.82981i | ||||
\(116\) | −3.98070 | − | 10.2754i | −0.369599 | − | 0.954045i | ||||
\(117\) | −1.65661 | − | 4.04989i | −0.153154 | − | 0.374412i | ||||
\(118\) | −0.0258318 | − | 0.838433i | −0.00237801 | − | 0.0771840i | ||||
\(119\) | −15.6222 | + | 0.481314i | −1.43208 | + | 0.0441220i | ||||
\(120\) | 4.34091 | − | 2.47129i | 0.396269 | − | 0.225597i | ||||
\(121\) | 2.70814 | + | 9.51812i | 0.246194 | + | 0.865284i | ||||
\(122\) | −0.943341 | − | 0.469728i | −0.0854061 | − | 0.0425272i | ||||
\(123\) | −3.70999 | − | 20.5346i | −0.334519 | − | 1.85154i | ||||
\(124\) | −2.85269 | + | 3.12925i | −0.256179 | + | 0.281015i | ||||
\(125\) | −0.803325 | − | 2.82339i | −0.0718515 | − | 0.252532i | ||||
\(126\) | 0.375735 | − | 1.42092i | 0.0334731 | − | 0.126585i | ||||
\(127\) | −6.48500 | + | 0.600923i | −0.575450 | + | 0.0533233i | −0.376057 | − | 0.926596i | \(-0.622720\pi\) |
−0.199393 | + | 0.979920i | \(0.563897\pi\) | |||||||
\(128\) | 6.81729 | + | 2.40232i | 0.602569 | + | 0.212337i | ||||
\(129\) | −3.94103 | + | 2.57721i | −0.346988 | + | 0.226910i | ||||
\(130\) | −0.810597 | − | 0.694477i | −0.0710941 | − | 0.0609097i | ||||
\(131\) | −14.8130 | + | 11.1863i | −1.29422 | + | 0.977351i | −0.294457 | + | 0.955665i | \(0.595139\pi\) |
−0.999765 | + | 0.0216860i | \(0.993097\pi\) | |||||||
\(132\) | 3.21752 | − | 1.45674i | 0.280049 | − | 0.126793i | ||||
\(133\) | −3.78662 | + | 1.74212i | −0.328341 | + | 0.151061i | ||||
\(134\) | 1.41452 | − | 0.875835i | 0.122196 | − | 0.0756606i | ||||
\(135\) | 15.4524 | + | 2.19920i | 1.32993 | + | 0.189277i | ||||
\(136\) | −4.85520 | + | 5.66701i | −0.416330 | + | 0.485942i | ||||
\(137\) | −1.17633 | − | 19.0722i | −0.100501 | − | 1.62945i | −0.626824 | − | 0.779161i | \(-0.715645\pi\) |
0.526323 | − | 0.850285i | \(-0.323570\pi\) | |||||||
\(138\) | 2.61295 | − | 2.66224i | 0.222429 | − | 0.226625i | ||||
\(139\) | 3.19541 | + | 20.5852i | 0.271031 | + | 1.74601i | 0.598477 | + | 0.801140i | \(0.295773\pi\) |
−0.327446 | + | 0.944870i | \(0.606188\pi\) | |||||||
\(140\) | 2.50768 | + | 11.4504i | 0.211937 | + | 0.967736i | ||||
\(141\) | 0.233070 | + | 0.838416i | 0.0196280 | + | 0.0706074i | ||||
\(142\) | −3.64097 | − | 0.797385i | −0.305544 | − | 0.0669151i | ||||
\(143\) | −1.06688 | − | 1.10026i | −0.0892170 | − | 0.0920081i | ||||
\(144\) | 5.93309 | + | 9.19391i | 0.494424 | + | 0.766159i | ||||
\(145\) | −3.13410 | − | 16.7659i | −0.260273 | − | 1.39234i | ||||
\(146\) | −2.32656 | + | 0.740133i | −0.192548 | + | 0.0612539i | ||||
\(147\) | −4.33738 | − | 2.72207i | −0.357741 | − | 0.224513i | ||||
\(148\) | −18.4739 | − | 0.569174i | −1.51854 | − | 0.0467859i | ||||
\(149\) | − | 14.4221i | − | 1.18150i | −0.806853 | − | 0.590752i | \(-0.798831\pi\) | ||
0.806853 | − | 0.590752i | \(-0.201169\pi\) | |||||||
\(150\) | 1.60446 | − | 0.554489i | 0.131004 | − | 0.0452738i | ||||
\(151\) | 0.614111 | + | 1.14362i | 0.0499757 | + | 0.0930665i | 0.904770 | − | 0.425900i | \(-0.140042\pi\) |
−0.854795 | + | 0.518966i | \(0.826317\pi\) | |||||||
\(152\) | −0.603305 | + | 1.89645i | −0.0489345 | + | 0.153823i | ||||
\(153\) | −22.8368 | + | 4.71217i | −1.84625 | + | 0.380957i | ||||
\(154\) | −0.0632617 | − | 0.510888i | −0.00509777 | − | 0.0411686i | ||||
\(155\) | −5.23031 | + | 3.94975i | −0.420109 | + | 0.317251i | ||||
\(156\) | 2.97809 | − | 3.89436i | 0.238438 | − | 0.311798i | ||||
\(157\) | −5.24731 | − | 5.75602i | −0.418781 | − | 0.459381i | 0.493017 | − | 0.870020i | \(-0.335894\pi\) |
−0.911798 | + | 0.410639i | \(0.865306\pi\) | |||||||
\(158\) | 0.722226 | − | 1.16644i | 0.0574572 | − | 0.0927966i | ||||
\(159\) | −5.84657 | + | 6.74107i | −0.463663 | + | 0.534602i | ||||
\(160\) | 7.30674 | + | 4.21855i | 0.577649 | + | 0.333506i | ||||
\(161\) | 8.40935 | + | 15.6602i | 0.662750 | + | 1.23420i | ||||
\(162\) | 0.187969 | − | 2.18467i | 0.0147683 | − | 0.171644i | ||||
\(163\) | 0.810805 | − | 3.70225i | 0.0635072 | − | 0.289983i | −0.934274 | − | 0.356555i | \(-0.883951\pi\) |
0.997782 | + | 0.0665721i | \(0.0212062\pi\) | |||||||
\(164\) | 17.7549 | − | 15.2115i | 1.38642 | − | 1.18782i | ||||
\(165\) | 5.30970 | − | 1.30130i | 0.413360 | − | 0.101306i | ||||
\(166\) | −1.84061 | + | 0.462932i | −0.142859 | + | 0.0359305i | ||||
\(167\) | 2.94647 | + | 9.26204i | 0.228004 | + | 0.716718i | 0.996996 | + | 0.0774587i | \(0.0246806\pi\) |
−0.768991 | + | 0.639260i | \(0.779241\pi\) | |||||||
\(168\) | 3.22172 | − | 0.895600i | 0.248561 | − | 0.0690971i | ||||
\(169\) | 10.3610 | + | 3.29608i | 0.797002 | + | 0.253545i | ||||
\(170\) | −4.43165 | + | 3.56614i | −0.339892 | + | 0.273510i | ||||
\(171\) | −5.11867 | + | 3.53113i | −0.391434 | + | 0.270032i | ||||
\(172\) | −4.72287 | − | 2.35171i | −0.360115 | − | 0.179316i | ||||
\(173\) | −21.8476 | − | 4.08403i | −1.66104 | − | 0.310503i | −0.732232 | − | 0.681055i | \(-0.761521\pi\) |
−0.928812 | + | 0.370552i | \(0.879168\pi\) | |||||||
\(174\) | −2.32732 | + | 0.570379i | −0.176434 | + | 0.0432403i | ||||
\(175\) | 0.249105 | + | 8.08530i | 0.0188306 | + | 0.611191i | ||||
\(176\) | 3.12810 | + | 2.21433i | 0.235789 | + | 0.166912i | ||||
\(177\) | 5.93446 | + | 0.586184i | 0.446061 | + | 0.0440603i | ||||
\(178\) | 0.0754388 | + | 0.609228i | 0.00565437 | + | 0.0456636i | ||||
\(179\) | 1.29151 | − | 6.90899i | 0.0965323 | − | 0.516402i | −0.900190 | − | 0.435498i | \(-0.856572\pi\) |
0.996722 | − | 0.0809040i | \(-0.0257807\pi\) | |||||||
\(180\) | 6.62091 | + | 16.1860i | 0.493494 | + | 1.20644i | ||||
\(181\) | 6.72807 | − | 5.76425i | 0.500093 | − | 0.428454i | −0.364291 | − | 0.931285i | \(-0.618689\pi\) |
0.864384 | + | 0.502831i | \(0.167708\pi\) | |||||||
\(182\) | −0.412857 | − | 0.583225i | −0.0306030 | − | 0.0432315i | ||||
\(183\) | 4.17592 | − | 6.21994i | 0.308693 | − | 0.459791i | ||||
\(184\) | 8.23056 | + | 2.07007i | 0.606765 | + | 0.152607i | ||||
\(185\) | −27.9458 | − | 6.12022i | −2.05461 | − | 0.449967i | ||||
\(186\) | 0.594824 | + | 0.702854i | 0.0436146 | + | 0.0515357i | ||||
\(187\) | −6.80822 | + | 4.51129i | −0.497866 | + | 0.329898i | ||||
\(188\) | −0.678736 | + | 0.699970i | −0.0495019 | + | 0.0510505i | ||||
\(189\) | 9.67290 | + | 3.95091i | 0.703600 | + | 0.287386i | ||||
\(190\) | −0.717671 | + | 1.33647i | −0.0520653 | + | 0.0969580i | ||||
\(191\) | 8.60834 | − | 5.33006i | 0.622878 | − | 0.385670i | −0.178403 | − | 0.983957i | \(-0.557093\pi\) |
0.801281 | + | 0.598288i | \(0.204152\pi\) | |||||||
\(192\) | −5.16549 | + | 10.2181i | −0.372787 | + | 0.737429i | ||||
\(193\) | 5.56968 | + | 0.864575i | 0.400915 | + | 0.0622334i | 0.350660 | − | 0.936503i | \(-0.385957\pi\) |
0.0502549 | + | 0.998736i | \(0.483997\pi\) | |||||||
\(194\) | −0.550691 | + | 1.73106i | −0.0395373 | + | 0.124283i | ||||
\(195\) | 5.63872 | − | 5.07817i | 0.403797 | − | 0.363656i | ||||
\(196\) | 0.176686 | − | 5.73477i | 0.0126205 | − | 0.409626i | ||||
\(197\) | 1.59412 | − | 2.11095i | 0.113576 | − | 0.150399i | −0.737678 | − | 0.675153i | \(-0.764078\pi\) |
0.851254 | + | 0.524753i | \(0.175842\pi\) | |||||||
\(198\) | −0.223944 | − | 0.734645i | −0.0159150 | − | 0.0522090i | ||||
\(199\) | 6.41377 | + | 0.995602i | 0.454660 | + | 0.0705763i | 0.376608 | − | 0.926373i | \(-0.377091\pi\) |
0.0780527 | + | 0.996949i | \(0.475130\pi\) | |||||||
\(200\) | 2.93298 | + | 2.51282i | 0.207393 | + | 0.177683i | ||||
\(201\) | 4.87828 | + | 10.7747i | 0.344087 | + | 0.759987i | ||||
\(202\) | −0.326495 | − | 0.316591i | −0.0229721 | − | 0.0222753i | ||||
\(203\) | 0.702912 | − | 11.3965i | 0.0493347 | − | 0.799877i | ||||
\(204\) | −17.4838 | − | 19.4137i | −1.22411 | − | 1.35923i | ||||
\(205\) | 31.3401 | − | 18.0942i | 2.18888 | − | 1.26375i | ||||
\(206\) | 1.68977 | − | 1.80519i | 0.117732 | − | 0.125773i | ||||
\(207\) | 16.3739 | + | 20.8603i | 1.13807 | + | 1.44989i | ||||
\(208\) | 5.27949 | + | 0.653743i | 0.366067 | + | 0.0453289i | ||||
\(209\) | −1.20308 | + | 1.81564i | −0.0832190 | + | 0.125590i | ||||
\(210\) | 2.53941 | − | 0.219806i | 0.175236 | − | 0.0151681i | ||||
\(211\) | 5.11806 | + | 7.23007i | 0.352342 | + | 0.497738i | 0.953501 | − | 0.301391i | \(-0.0974510\pi\) |
−0.601159 | + | 0.799130i | \(0.705294\pi\) | |||||||
\(212\) | −9.82764 | − | 1.83710i | −0.674965 | − | 0.126173i | ||||
\(213\) | 8.95780 | − | 24.9375i | 0.613778 | − | 1.70869i | ||||
\(214\) | 0.447685 | + | 2.88404i | 0.0306031 | + | 0.197149i | ||||
\(215\) | −6.51689 | − | 4.92133i | −0.444448 | − | 0.335632i | ||||
\(216\) | 4.50544 | − | 2.14218i | 0.306556 | − | 0.145757i | ||||
\(217\) | −4.04055 | + | 1.71022i | −0.274290 | + | 0.116097i | ||||
\(218\) | 0.322488 | − | 0.293987i | 0.0218417 | − | 0.0199113i | ||||
\(219\) | −3.08586 | − | 17.0800i | −0.208523 | − | 1.15416i | ||||
\(220\) | 4.26396 | + | 4.39736i | 0.287476 | + | 0.296470i | ||||
\(221\) | −5.36331 | + | 9.98775i | −0.360775 | + | 0.671849i | ||||
\(222\) | −0.640536 | + | 3.96770i | −0.0429900 | + | 0.266294i | ||||
\(223\) | −16.0764 | + | 3.00521i | −1.07656 | + | 0.201244i | −0.692029 | − | 0.721869i | \(-0.743283\pi\) |
−0.384529 | + | 0.923113i | \(0.625636\pi\) | |||||||
\(224\) | 4.05484 | + | 3.93184i | 0.270925 | + | 0.262707i | ||||
\(225\) | 2.43880 | + | 11.8193i | 0.162586 | + | 0.787951i | ||||
\(226\) | 0.0479353 | − | 0.0595693i | 0.00318861 | − | 0.00396249i | ||||
\(227\) | 18.5415 | + | 16.9028i | 1.23064 | + | 1.12188i | 0.988434 | + | 0.151652i | \(0.0484593\pi\) |
0.242206 | + | 0.970225i | \(0.422129\pi\) | |||||||
\(228\) | −6.31187 | − | 2.95037i | −0.418014 | − | 0.195393i | ||||
\(229\) | −7.45827 | + | 0.923534i | −0.492856 | + | 0.0610288i | −0.365468 | − | 0.930824i | \(-0.619091\pi\) |
−0.127389 | + | 0.991853i | \(0.540660\pi\) | |||||||
\(230\) | 5.87705 | + | 2.70387i | 0.387521 | + | 0.178288i | ||||
\(231\) | 3.65963 | + | 0.0221674i | 0.240786 | + | 0.00145851i | ||||
\(232\) | −3.79509 | − | 3.91381i | −0.249160 | − | 0.256954i | ||||
\(233\) | 13.5869 | + | 2.53983i | 0.890106 | + | 0.166390i | 0.608890 | − | 0.793255i | \(-0.291615\pi\) |
0.281216 | + | 0.959645i | \(0.409262\pi\) | |||||||
\(234\) | −0.756294 | − | 0.751341i | −0.0494405 | − | 0.0491167i | ||||
\(235\) | −1.23176 | + | 0.871947i | −0.0803514 | + | 0.0568796i | ||||
\(236\) | 2.79260 | + | 6.06991i | 0.181783 | + | 0.395118i | ||||
\(237\) | 7.56134 | + | 6.16041i | 0.491162 | + | 0.400162i | ||||
\(238\) | −3.45940 | + | 1.59158i | −0.224240 | + | 0.103167i | ||||
\(239\) | −6.06676 | + | 2.13785i | −0.392426 | + | 0.138286i | −0.521296 | − | 0.853376i | \(-0.674551\pi\) |
0.128870 | + | 0.991662i | \(0.458865\pi\) | |||||||
\(240\) | −11.5272 | + | 15.0738i | −0.744080 | + | 0.973009i | ||||
\(241\) | −1.00951 | + | 16.3675i | −0.0650285 | + | 1.05432i | 0.815018 | + | 0.579436i | \(0.196727\pi\) |
−0.880046 | + | 0.474888i | \(0.842488\pi\) | |||||||
\(242\) | 1.51152 | + | 1.87838i | 0.0971644 | + | 0.120747i | ||||
\(243\) | 15.2293 | + | 3.32706i | 0.976958 | + | 0.213431i | ||||
\(244\) | 8.37803 | + | 0.516739i | 0.536348 | + | 0.0330808i | ||||
\(245\) | 1.89987 | − | 8.67508i | 0.121378 | − | 0.554230i | ||||
\(246\) | −2.78250 | − | 4.25497i | −0.177406 | − | 0.271287i | ||||
\(247\) | −0.278955 | + | 3.01040i | −0.0177495 | + | 0.191547i | ||||
\(248\) | −0.696241 | + | 1.97579i | −0.0442114 | + | 0.125463i | ||||
\(249\) | −1.57695 | − | 13.4001i | −0.0999349 | − | 0.849199i | ||||
\(250\) | −0.448368 | − | 0.557189i | −0.0283573 | − | 0.0352397i | ||||
\(251\) | −11.3525 | + | 6.09619i | −0.716566 | + | 0.384788i | −0.790489 | − | 0.612476i | \(-0.790174\pi\) |
0.0739229 | + | 0.997264i | \(0.476448\pi\) | |||||||
\(252\) | 1.65548 | + | 11.5894i | 0.104286 | + | 0.730061i | ||||
\(253\) | 8.04402 | + | 4.64422i | 0.505723 | + | 0.291979i | ||||
\(254\) | −1.39796 | + | 0.750686i | −0.0877155 | + | 0.0471022i | ||||
\(255\) | −21.0797 | − | 34.5101i | −1.32006 | − | 2.16111i | ||||
\(256\) | −11.4380 | + | 0.705472i | −0.714875 | + | 0.0440920i | ||||
\(257\) | −6.09677 | + | 14.4042i | −0.380306 | + | 0.898509i | 0.613736 | + | 0.789511i | \(0.289666\pi\) |
−0.994042 | + | 0.108997i | \(0.965236\pi\) | |||||||
\(258\) | −0.639491 | + | 0.952508i | −0.0398130 | + | 0.0593006i | ||||
\(259\) | −17.1435 | − | 8.53647i | −1.06525 | − | 0.530431i | ||||
\(260\) | 8.10211 | + | 2.57747i | 0.502471 | + | 0.159848i | ||||
\(261\) | −1.88843 | − | 16.9298i | −0.116891 | − | 1.04793i | ||||
\(262\) | −2.26124 | + | 3.91659i | −0.139700 | + | 0.241968i | ||||
\(263\) | 9.15541 | − | 15.8576i | 0.564547 | − | 0.977824i | −0.432545 | − | 0.901612i | \(-0.642384\pi\) |
0.997092 | − | 0.0762115i | \(-0.0242824\pi\) | |||||||
\(264\) | 1.18498 | − | 1.28415i | 0.0729304 | − | 0.0790339i | ||||
\(265\) | −14.4300 | − | 5.59023i | −0.886431 | − | 0.343405i | ||||
\(266\) | −0.684151 | + | 0.750478i | −0.0419480 | + | 0.0460147i | ||||
\(267\) | −4.36407 | − | 0.0264344i | −0.267077 | − | 0.00161776i | ||||
\(268\) | −7.65663 | + | 10.8162i | −0.467703 | + | 0.660704i | ||||
\(269\) | 15.4157 | − | 14.9481i | 0.939914 | − | 0.911401i | −0.0562933 | − | 0.998414i | \(-0.517928\pi\) |
0.996207 | + | 0.0870128i | \(0.0277321\pi\) | |||||||
\(270\) | 3.67588 | − | 0.974037i | 0.223707 | − | 0.0592780i | ||||
\(271\) | 0.811812 | − | 13.1621i | 0.0493141 | − | 0.799542i | −0.889888 | − | 0.456178i | \(-0.849218\pi\) |
0.939203 | − | 0.343364i | \(-0.111566\pi\) | |||||||
\(272\) | 8.59428 | − | 27.0156i | 0.521105 | − | 1.63806i | ||||
\(273\) | 4.48994 | − | 2.37612i | 0.271744 | − | 0.143810i | ||||
\(274\) | −2.07515 | − | 4.16747i | −0.125365 | − | 0.251766i | ||||
\(275\) | 2.33483 | + | 3.52361i | 0.140796 | + | 0.212482i | ||||
\(276\) | −10.9011 | + | 27.6407i | −0.656169 | + | 1.66378i | ||||
\(277\) | −11.1729 | − | 1.03532i | −0.671315 | − | 0.0622065i | −0.248790 | − | 0.968558i | \(-0.580033\pi\) |
−0.422525 | + | 0.906351i | \(0.638856\pi\) | |||||||
\(278\) | 2.67185 | + | 4.31519i | 0.160247 | + | 0.258808i | ||||
\(279\) | −5.50005 | + | 3.54934i | −0.329279 | + | 0.212493i | ||||
\(280\) | 3.35057 | + | 4.73321i | 0.200235 | + | 0.282863i | ||||
\(281\) | −19.6566 | + | 2.43401i | −1.17261 | + | 0.145201i | −0.685456 | − | 0.728114i | \(-0.740397\pi\) |
−0.487156 | + | 0.873315i | \(0.661966\pi\) | |||||||
\(282\) | 0.131915 | + | 0.165980i | 0.00785542 | + | 0.00988395i | ||||
\(283\) | 25.4232 | + | 7.23351i | 1.51125 | + | 0.429988i | 0.924944 | − | 0.380103i | \(-0.124111\pi\) |
0.586305 | + | 0.810090i | \(0.300582\pi\) | |||||||
\(284\) | 29.1831 | − | 5.45527i | 1.73170 | − | 0.323711i | ||||
\(285\) | −8.76425 | − | 6.28412i | −0.519149 | − | 0.372239i | ||||
\(286\) | −0.343861 | − | 0.145544i | −0.0203329 | − | 0.00860620i | ||||
\(287\) | 23.3010 | − | 6.62971i | 1.37542 | − | 0.391340i | ||||
\(288\) | 6.96741 | + | 4.73923i | 0.410559 | + | 0.279262i | ||||
\(289\) | 33.8230 | + | 27.2172i | 1.98959 | + | 1.60101i | ||||
\(290\) | −2.29540 | − | 3.46410i | −0.134790 | − | 0.203419i | ||||
\(291\) | −11.6990 | − | 5.46851i | −0.685810 | − | 0.320570i | ||||
\(292\) | 14.7680 | − | 12.6525i | 0.864232 | − | 0.740429i | ||||
\(293\) | 6.04194 | − | 3.74101i | 0.352974 | − | 0.218552i | −0.338479 | − | 0.940974i | \(-0.609912\pi\) |
0.691453 | + | 0.722422i | \(0.256971\pi\) | |||||||
\(294\) | −1.23167 | − | 0.198839i | −0.0718327 | − | 0.0115965i | ||||
\(295\) | 2.52252 | + | 10.0295i | 0.146867 | + | 0.583940i | ||||
\(296\) | −8.52643 | + | 3.30316i | −0.495589 | + | 0.191992i | ||||
\(297\) | 5.38432 | − | 0.905574i | 0.312430 | − | 0.0525468i | ||||
\(298\) | −1.36962 | − | 3.23585i | −0.0793399 | − | 0.187448i | ||||
\(299\) | 12.8869 | + | 0.397040i | 0.745267 | + | 0.0229614i | ||||
\(300\) | −10.0476 | + | 9.04876i | −0.580098 | + | 0.522431i | ||||
\(301\) | −3.42730 | − | 4.25912i | −0.197546 | − | 0.245492i | ||||
\(302\) | 0.246393 | + | 0.198271i | 0.0141783 | + | 0.0114092i | ||||
\(303\) | 2.53109 | − | 2.01162i | 0.145407 | − | 0.115565i | ||||
\(304\) | −0.697583 | − | 7.52812i | −0.0400091 | − | 0.431767i | ||||
\(305\) | 12.6000 | + | 3.16903i | 0.721475 | + | 0.181458i | ||||
\(306\) | −4.67635 | + | 3.22600i | −0.267329 | + | 0.184418i | ||||
\(307\) | −3.14242 | + | 25.3775i | −0.179347 | + | 1.44837i | 0.588893 | + | 0.808211i | \(0.299564\pi\) |
−0.768241 | + | 0.640161i | \(0.778868\pi\) | |||||||
\(308\) | 2.05022 | + | 3.55108i | 0.116822 | + | 0.202342i | ||||
\(309\) | 11.1778 | + | 13.5667i | 0.635883 | + | 0.771785i | ||||
\(310\) | −0.798418 | + | 1.38290i | −0.0453471 | + | 0.0785435i | ||||
\(311\) | −11.1741 | − | 8.43827i | −0.633624 | − | 0.478490i | 0.236298 | − | 0.971681i | \(-0.424066\pi\) |
−0.869921 | + | 0.493190i | \(0.835831\pi\) | |||||||
\(312\) | 0.605834 | − | 2.34855i | 0.0342986 | − | 0.132961i | ||||
\(313\) | 8.82136 | + | 31.0039i | 0.498613 | + | 1.75244i | 0.645973 | + | 0.763360i | \(0.276452\pi\) |
−0.147361 | + | 0.989083i | \(0.547078\pi\) | |||||||
\(314\) | −1.72396 | − | 0.793146i | −0.0972885 | − | 0.0447598i | ||||
\(315\) | −0.777390 | + | 18.1038i | −0.0438010 | + | 1.02003i | ||||
\(316\) | −1.67623 | + | 10.7984i | −0.0942950 | + | 0.607459i | ||||
\(317\) | −4.04593 | + | 0.628045i | −0.227242 | + | 0.0352745i | −0.265995 | − | 0.963974i | \(-0.585701\pi\) |
0.0387532 | + | 0.999249i | \(0.487661\pi\) | |||||||
\(318\) | −0.671604 | + | 2.06771i | −0.0376617 | + | 0.115951i | ||||
\(319\) | −2.82273 | − | 5.25660i | −0.158043 | − | 0.294313i | ||||
\(320\) | −19.7057 | − | 2.44010i | −1.10158 | − | 0.136406i | ||||
\(321\) | −20.7421 | + | 0.513322i | −1.15771 | + | 0.0286508i | ||||
\(322\) | 3.37399 | + | 2.71504i | 0.188025 | + | 0.151303i | ||||
\(323\) | 15.4963 | + | 4.40908i | 0.862239 | + | 0.245328i | ||||
\(324\) | 5.40405 | + | 16.6087i | 0.300225 | + | 0.922706i | ||||
\(325\) | 5.16918 | + | 2.77579i | 0.286735 | + | 0.153973i | ||||
\(326\) | −0.169672 | − | 0.907665i | −0.00939726 | − | 0.0502709i | ||||
\(327\) | 1.77704 | + | 2.54287i | 0.0982706 | + | 0.140621i | ||||
\(328\) | 5.15575 | − | 10.3541i | 0.284679 | − | 0.571712i | ||||
\(329\) | −0.942059 | + | 0.364955i | −0.0519374 | + | 0.0201206i | ||||
\(330\) | 1.06775 | − | 0.796214i | 0.0587774 | − | 0.0438301i | ||||
\(331\) | 8.12670 | + | 7.88017i | 0.446684 | + | 0.433134i | 0.884932 | − | 0.465721i | \(-0.154205\pi\) |
−0.438248 | + | 0.898854i | \(0.644401\pi\) | |||||||
\(332\) | 12.0640 | − | 9.11034i | 0.662100 | − | 0.499995i | ||||
\(333\) | −27.3845 | − | 8.15143i | −1.50066 | − | 0.446696i | ||||
\(334\) | 1.54068 | + | 1.79829i | 0.0843021 | + | 0.0983979i | ||||
\(335\) | −14.7257 | + | 14.2790i | −0.804549 | + | 0.780143i | ||||
\(336\) | −9.94501 | + | 7.90395i | −0.542545 | + | 0.431196i | ||||
\(337\) | −13.8364 | − | 18.3223i | −0.753715 | − | 0.998080i | −0.999586 | − | 0.0287777i | \(-0.990839\pi\) |
0.245871 | − | 0.969303i | \(-0.420926\pi\) | |||||||
\(338\) | 2.63770 | − | 0.244419i | 0.143472 | − | 0.0132946i | ||||
\(339\) | 0.376027 | + | 0.392521i | 0.0204230 | + | 0.0213188i | ||||
\(340\) | 21.4353 | − | 39.9177i | 1.16249 | − | 2.16484i | ||||
\(341\) | −1.32468 | + | 1.87131i | −0.0717352 | + | 0.101337i | ||||
\(342\) | −0.813123 | + | 1.27837i | −0.0439687 | + | 0.0691266i | ||||
\(343\) | 8.92412 | − | 17.9221i | 0.481857 | − | 0.967700i | ||||
\(344\) | −2.60523 | − | 0.160685i | −0.140465 | − | 0.00866356i | ||||
\(345\) | −24.4472 | + | 38.9544i | −1.31619 | + | 2.09723i | ||||
\(346\) | −5.28975 | + | 1.15847i | −0.284379 | + | 0.0622799i | ||||
\(347\) | −1.09671 | − | 0.726705i | −0.0588743 | − | 0.0390116i | 0.522583 | − | 0.852588i | \(-0.324968\pi\) |
−0.581458 | + | 0.813577i | \(0.697517\pi\) | |||||||
\(348\) | 15.3006 | − | 11.4096i | 0.820199 | − | 0.611620i | ||||
\(349\) | −4.37070 | − | 1.24357i | −0.233958 | − | 0.0665668i | 0.154652 | − | 0.987969i | \(-0.450574\pi\) |
−0.388610 | + | 0.921402i | \(0.627045\pi\) | |||||||
\(350\) | 0.823725 | + | 1.79042i | 0.0440300 | + | 0.0957022i | ||||
\(351\) | 5.98983 | − | 4.64324i | 0.319714 | − | 0.247838i | ||||
\(352\) | 2.88308 | + | 0.631404i | 0.153669 | + | 0.0336540i | ||||
\(353\) | −14.1031 | + | 11.3487i | −0.750630 | + | 0.604030i | −0.924697 | − | 0.380704i | \(-0.875682\pi\) |
0.174067 | + | 0.984734i | \(0.444309\pi\) | |||||||
\(354\) | 1.38717 | − | 0.432055i | 0.0737272 | − | 0.0229635i | ||||
\(355\) | 45.9531 | 2.43893 | ||||||||
\(356\) | −2.44486 | − | 4.23462i | −0.129577 | − | 0.224434i | ||||
\(357\) | −8.05031 | − | 25.8466i | −0.426068 | − | 1.36795i | ||||
\(358\) | −0.366350 | − | 1.67280i | −0.0193622 | − | 0.0884105i | ||||
\(359\) | −8.67548 | + | 5.74858i | −0.457874 | + | 0.303399i | −0.760063 | − | 0.649850i | \(-0.774832\pi\) |
0.302188 | + | 0.953248i | \(0.402283\pi\) | |||||||
\(360\) | 6.13776 | + | 6.09756i | 0.323488 | + | 0.321370i | ||||
\(361\) | −14.5919 | + | 1.80687i | −0.767996 | + | 0.0950986i | ||||
\(362\) | 0.962148 | − | 1.93225i | 0.0505694 | − | 0.101557i | ||||
\(363\) | −14.6273 | + | 8.93471i | −0.767732 | + | 0.468951i | ||||
\(364\) | 4.83917 | + | 2.99629i | 0.253642 | + | 0.157048i | ||||
\(365\) | 26.0677 | − | 15.0502i | 1.36445 | − | 0.787764i | ||||
\(366\) | 0.346254 | − | 1.79213i | 0.0180990 | − | 0.0936760i | ||||
\(367\) | 6.78130 | + | 4.19880i | 0.353981 | + | 0.219176i | 0.691890 | − | 0.722003i | \(-0.256778\pi\) |
−0.337909 | + | 0.941179i | \(0.609720\pi\) | |||||||
\(368\) | −31.8600 | + | 4.94558i | −1.66082 | + | 0.257806i | ||||
\(369\) | 32.5464 | − | 15.7171i | 1.69430 | − | 0.818199i | ||||
\(370\) | −6.85134 | + | 1.28074i | −0.356184 | + | 0.0665824i | ||||
\(371\) | −8.45544 | − | 5.98548i | −0.438985 | − | 0.310751i | ||||
\(372\) | −6.54537 | − | 3.30883i | −0.339361 | − | 0.171555i | ||||
\(373\) | −16.4499 | + | 5.23308i | −0.851742 | + | 0.270959i | −0.697066 | − | 0.717006i | \(-0.745512\pi\) |
−0.154676 | + | 0.987965i | \(0.549433\pi\) | |||||||
\(374\) | −1.09912 | + | 1.65874i | −0.0568342 | + | 0.0857715i | ||||
\(375\) | 4.33894 | − | 2.65033i | 0.224062 | − | 0.136863i | ||||
\(376\) | −0.174250 | + | 0.449791i | −0.00898626 | + | 0.0231962i | ||||
\(377\) | −6.90387 | − | 4.57467i | −0.355567 | − | 0.235608i | ||||
\(378\) | 2.54549 | − | 0.0321470i | 0.130926 | − | 0.00165346i | ||||
\(379\) | −23.1542 | − | 19.8373i | −1.18935 | − | 1.01897i | −0.999308 | − | 0.0371970i | \(-0.988157\pi\) |
−0.190042 | − | 0.981776i | \(-0.560863\pi\) | |||||||
\(380\) | 1.11489 | − | 12.0316i | 0.0571925 | − | 0.617206i | ||||
\(381\) | −4.01118 | − | 10.5432i | −0.205499 | − | 0.540145i | ||||
\(382\) | 1.42526 | − | 2.01340i | 0.0729224 | − | 0.103014i | ||||
\(383\) | 1.23577 | + | 13.3361i | 0.0631448 | + | 0.681441i | 0.967198 | + | 0.254022i | \(0.0817536\pi\) |
−0.904054 | + | 0.427419i | \(0.859423\pi\) | |||||||
\(384\) | −0.846392 | + | 12.4909i | −0.0431922 | + | 0.637425i | ||||
\(385\) | 2.10939 | + | 5.98601i | 0.107504 | + | 0.305075i | ||||
\(386\) | 1.33176 | − | 0.334952i | 0.0677849 | − | 0.0170486i | ||||
\(387\) | −6.12901 | − | 5.38112i | −0.311555 | − | 0.273538i | ||||
\(388\) | −1.33505 | − | 14.4075i | −0.0677771 | − | 0.731432i | ||||
\(389\) | −8.28095 | + | 19.5645i | −0.419861 | + | 0.991960i | 0.566002 | + | 0.824404i | \(0.308490\pi\) |
−0.985863 | + | 0.167556i | \(0.946412\pi\) | |||||||
\(390\) | 0.782889 | − | 1.67487i | 0.0396431 | − | 0.0848103i | ||||
\(391\) | 14.6988 | − | 67.1169i | 0.743352 | − | 3.39425i | ||||
\(392\) | −1.02538 | − | 2.64682i | −0.0517897 | − | 0.133685i | ||||
\(393\) | −25.5391 | − | 19.5303i | −1.28828 | − | 0.985172i | ||||
\(394\) | 0.157198 | − | 0.625017i | 0.00791953 | − | 0.0314879i | ||||
\(395\) | −5.62156 | + | 15.9528i | −0.282851 | + | 0.802674i | ||||
\(396\) | 3.92357 | + | 4.69352i | 0.197167 | + | 0.235858i | ||||
\(397\) | −25.2987 | + | 0.779443i | −1.26970 | + | 0.0391191i | −0.658637 | − | 0.752461i | \(-0.728867\pi\) |
−0.611066 | + | 0.791580i | \(0.709259\pi\) | |||||||
\(398\) | 1.53359 | − | 0.385714i | 0.0768720 | − | 0.0193341i | ||||
\(399\) | −4.66381 | − | 5.51083i | −0.233482 | − | 0.275887i | ||||
\(400\) | −13.9820 | − | 4.44799i | −0.699099 | − | 0.222400i | ||||
\(401\) | −1.55077 | + | 12.5237i | −0.0774418 | + | 0.625404i | 0.903147 | + | 0.429330i | \(0.141250\pi\) |
−0.980589 | + | 0.196073i | \(0.937181\pi\) | |||||||
\(402\) | 2.11776 | + | 1.95421i | 0.105624 | + | 0.0974674i | ||||
\(403\) | −0.391087 | + | 3.15834i | −0.0194814 | + | 0.157328i | ||||
\(404\) | 3.37786 | + | 1.30859i | 0.168055 | + | 0.0651047i | ||||
\(405\) | 3.49840 | + | 26.8068i | 0.173837 | + | 1.33204i | ||||
\(406\) | −0.924577 | − | 2.62376i | −0.0458860 | − | 0.130215i | ||||
\(407\) | −9.96480 | + | 0.923375i | −0.493937 | + | 0.0457700i | ||||
\(408\) | −11.7093 | − | 5.47330i | −0.579695 | − | 0.270969i | ||||
\(409\) | 23.1179 | + | 1.42586i | 1.14311 | + | 0.0705044i | 0.622021 | − | 0.783000i | \(-0.286312\pi\) |
0.521085 | + | 0.853505i | \(0.325527\pi\) | |||||||
\(410\) | 5.31335 | − | 7.03601i | 0.262408 | − | 0.347484i | ||||
\(411\) | 31.2814 | − | 10.8106i | 1.54300 | − | 0.533247i | ||||
\(412\) | −6.79025 | + | 18.4878i | −0.334532 | + | 0.910829i | ||||
\(413\) | 6.92322i | 0.340669i | ||||||||
\(414\) | 5.65481 | + | 3.12541i | 0.277919 | + | 0.153606i | ||||
\(415\) | 20.9463 | − | 10.4300i | 1.02821 | − | 0.511989i | ||||
\(416\) | 3.94037 | − | 1.12113i | 0.193192 | − | 0.0549680i | ||||
\(417\) | −32.8696 | + | 14.8818i | −1.60963 | + | 0.728766i | ||||
\(418\) | −0.0975082 | + | 0.521623i | −0.00476928 | + | 0.0255134i | ||||
\(419\) | 1.05300 | − | 1.30857i | 0.0514426 | − | 0.0639279i | −0.752703 | − | 0.658360i | \(-0.771251\pi\) |
0.804146 | + | 0.594432i | \(0.202623\pi\) | |||||||
\(420\) | −17.9448 | + | 9.49657i | −0.875616 | + | 0.463385i | ||||
\(421\) | −1.56679 | − | 0.194011i | −0.0763608 | − | 0.00945552i | 0.0846169 | − | 0.996414i | \(-0.473033\pi\) |
−0.160978 | + | 0.986958i | \(0.551465\pi\) | |||||||
\(422\) | 1.83494 | + | 1.13615i | 0.0893236 | + | 0.0553069i | ||||
\(423\) | −1.29100 | + | 0.777881i | −0.0627708 | + | 0.0378218i | ||||
\(424\) | −4.83172 | + | 1.05816i | −0.234649 | + | 0.0513889i | ||||
\(425\) | 19.6023 | − | 24.3598i | 0.950850 | − | 1.18162i | ||||
\(426\) | −0.358388 | − | 6.44585i | −0.0173640 | − | 0.312303i | ||||
\(427\) | 7.66271 | + | 4.11479i | 0.370824 | + | 0.199129i | ||||
\(428\) | −12.2381 | − | 19.7652i | −0.591550 | − | 0.955386i | ||||
\(429\) | 1.34115 | − | 2.29079i | 0.0647515 | − | 0.110600i | ||||
\(430\) | −1.92954 | − | 0.485299i | −0.0930507 | − | 0.0234032i | ||||
\(431\) | 2.05898 | + | 33.3827i | 0.0991774 | + | 1.60799i | 0.641030 | + | 0.767516i | \(0.278507\pi\) |
−0.541853 | + | 0.840474i | \(0.682277\pi\) | |||||||
\(432\) | −12.5902 | + | 14.1660i | −0.605745 | + | 0.681563i | ||||
\(433\) | −8.39925 | − | 26.4025i | −0.403642 | − | 1.26882i | −0.912890 | − | 0.408205i | \(-0.866155\pi\) |
0.509248 | − | 0.860620i | \(-0.329924\pi\) | |||||||
\(434\) | −0.744154 | + | 0.767434i | −0.0357205 | + | 0.0368380i | ||||
\(435\) | 26.5246 | − | 13.0078i | 1.27176 | − | 0.623676i | ||||
\(436\) | −1.45278 | + | 3.15771i | −0.0695754 | + | 0.151227i | ||||
\(437\) | −3.36687 | − | 18.0112i | −0.161059 | − | 0.861591i | ||||
\(438\) | −2.31440 | − | 3.53916i | −0.110586 | − | 0.169107i | ||||
\(439\) | −3.70616 | + | 1.30600i | −0.176885 | + | 0.0623319i | −0.419333 | − | 0.907833i | \(-0.637736\pi\) |
0.242448 | + | 0.970164i | \(0.422050\pi\) | |||||||
\(440\) | 2.79063 | + | 1.18117i | 0.133038 | + | 0.0563102i | ||||
\(441\) | 2.53041 | − | 8.50086i | 0.120496 | − | 0.404803i | ||||
\(442\) | −0.254849 | + | 2.75026i | −0.0121219 | + | 0.130817i | ||||
\(443\) | −21.1830 | − | 11.3751i | −1.00644 | − | 0.540445i | −0.114892 | − | 0.993378i | \(-0.536652\pi\) |
−0.891545 | + | 0.452933i | \(0.850378\pi\) | |||||||
\(444\) | −7.62019 | − | 31.0927i | −0.361638 | − | 1.47560i | ||||
\(445\) | −2.51542 | − | 7.13824i | −0.119242 | − | 0.338385i | ||||
\(446\) | −3.32164 | + | 2.20100i | −0.157284 | + | 0.104220i | ||||
\(447\) | 24.0672 | − | 6.69040i | 1.13834 | − | 0.316445i | ||||
\(448\) | −12.3949 | − | 4.80181i | −0.585603 | − | 0.226864i | ||||
\(449\) | −15.8220 | + | 14.4237i | −0.746689 | + | 0.680697i | −0.954747 | − | 0.297420i | \(-0.903874\pi\) |
0.208058 | + | 0.978116i | \(0.433286\pi\) | |||||||
\(450\) | 1.66962 | + | 2.42026i | 0.0787068 | + | 0.114092i | ||||
\(451\) | 8.52844 | − | 9.35525i | 0.401588 | − | 0.440521i | ||||
\(452\) | −0.166670 | + | 0.585783i | −0.00783948 | + | 0.0275529i | ||||
\(453\) | −1.62356 | + | 1.55534i | −0.0762813 | + | 0.0730760i | ||||
\(454\) | 5.76531 | + | 2.03162i | 0.270579 | + | 0.0953484i | ||||
\(455\) | 6.51051 | + | 5.93512i | 0.305218 | + | 0.278243i | ||||
\(456\) | −3.44462 | − | 0.127016i | −0.161309 | − | 0.00594809i | ||||
\(457\) | 10.9352 | − | 17.6610i | 0.511529 | − | 0.826148i | −0.487363 | − | 0.873199i | \(-0.662041\pi\) |
0.998892 | + | 0.0470513i | \(0.0149824\pi\) | |||||||
\(458\) | −1.58569 | + | 0.915498i | −0.0740944 | + | 0.0427784i | ||||
\(459\) | −18.4575 | − | 35.9235i | −0.861523 | − | 1.67676i | ||||
\(460\) | −51.5045 | − | 1.58684i | −2.40141 | − | 0.0739866i | ||||
\(461\) | 21.5097 | − | 4.71070i | 1.00181 | − | 0.219399i | 0.317237 | − | 0.948346i | \(-0.397245\pi\) |
0.684570 | + | 0.728947i | \(0.259990\pi\) | |||||||
\(462\) | 0.823209 | − | 0.342570i | 0.0382991 | − | 0.0159378i | ||||
\(463\) | −5.12740 | − | 2.17024i | −0.238290 | − | 0.100860i | 0.267365 | − | 0.963595i | \(-0.413847\pi\) |
−0.505655 | + | 0.862736i | \(0.668749\pi\) | |||||||
\(464\) | 19.0727 | + | 8.07276i | 0.885426 | + | 0.374769i | ||||
\(465\) | −9.01756 | − | 6.89591i | −0.418179 | − | 0.319790i | ||||
\(466\) | 3.28965 | − | 0.720445i | 0.152390 | − | 0.0333740i | ||||
\(467\) | 22.9905 | + | 0.708330i | 1.06387 | + | 0.0327776i | 0.558009 | − | 0.829835i | \(-0.311566\pi\) |
0.505865 | + | 0.862613i | \(0.331173\pi\) | |||||||
\(468\) | 7.88033 | + | 3.16317i | 0.364268 | + | 0.146218i | ||||
\(469\) | −11.8917 | + | 6.86568i | −0.549108 | + | 0.317028i | ||||
\(470\) | −0.193562 | + | 0.312613i | −0.00892835 | + | 0.0144198i | ||||
\(471\) | 7.17127 | − | 11.4268i | 0.330435 | − | 0.526518i | ||||
\(472\) | 2.44282 | + | 2.22692i | 0.112440 | + | 0.102502i | ||||
\(473\) | −2.69431 | − | 0.949438i | −0.123884 | − | 0.0436552i | ||||
\(474\) | 2.28155 | + | 0.664123i | 0.104795 | + | 0.0305042i | ||||
\(475\) | 2.28193 | − | 8.02016i | 0.104702 | − | 0.367990i | ||||
\(476\) | 20.4341 | − | 22.4152i | 0.936598 | − | 1.02740i | ||||
\(477\) | −13.9615 | − | 6.62941i | −0.639254 | − | 0.303540i | ||||
\(478\) | −1.15816 | + | 1.05580i | −0.0529731 | + | 0.0482913i | ||||
\(479\) | 34.5961 | + | 13.4026i | 1.58074 | + | 0.612380i | 0.982053 | − | 0.188606i | \(-0.0603968\pi\) |
0.598683 | + | 0.800986i | \(0.295691\pi\) | |||||||
\(480\) | −3.65021 | + | 14.1503i | −0.166608 | + | 0.645868i | ||||
\(481\) | −11.5796 | + | 7.67295i | −0.527986 | + | 0.349856i | ||||
\(482\) | 1.32787 | + | 3.76821i | 0.0604827 | + | 0.171637i | ||||
\(483\) | −22.2322 | + | 21.2980i | −1.01160 | + | 0.969094i | ||||
\(484\) | −16.9193 | − | 9.08546i | −0.769058 | − | 0.412976i | ||||
\(485\) | 2.06644 | − | 22.3005i | 0.0938323 | − | 1.01261i | ||||
\(486\) | 3.73292 | − | 0.699789i | 0.169329 | − | 0.0317431i | ||||
\(487\) | −31.1007 | − | 13.1638i | −1.40931 | − | 0.596508i | −0.453700 | − | 0.891155i | \(-0.649896\pi\) |
−0.955606 | + | 0.294647i | \(0.904798\pi\) | |||||||
\(488\) | 3.91666 | − | 1.38018i | 0.177299 | − | 0.0624777i | ||||
\(489\) | 6.55434 | − | 0.364420i | 0.296397 | − | 0.0164797i | ||||
\(490\) | −0.397574 | − | 2.12683i | −0.0179606 | − | 0.0960805i | ||||
\(491\) | 0.894946 | − | 1.94523i | 0.0403883 | − | 0.0877868i | −0.887210 | − | 0.461366i | \(-0.847360\pi\) |
0.927598 | + | 0.373579i | \(0.121869\pi\) | |||||||
\(492\) | 33.6209 | + | 22.5723i | 1.51575 | + | 1.01764i | ||||
\(493\) | −30.7240 | + | 31.6852i | −1.38374 | + | 1.42703i | ||||
\(494\) | 0.223299 | + | 0.701928i | 0.0100467 | + | 0.0315812i | ||||
\(495\) | 4.63473 | + | 8.25701i | 0.208316 | + | 0.371125i | ||||
\(496\) | −0.489926 | − | 7.94329i | −0.0219983 | − | 0.356664i | ||||
\(497\) | 29.8335 | + | 7.50344i | 1.33822 | + | 0.336575i | ||||
\(498\) | −1.62638 | − | 2.85680i | −0.0728800 | − | 0.128016i | ||||
\(499\) | 7.39674 | + | 11.9462i | 0.331124 | + | 0.534783i | 0.972637 | − | 0.232328i | \(-0.0746344\pi\) |
−0.641514 | + | 0.767112i | \(0.721693\pi\) | |||||||
\(500\) | 5.01882 | + | 2.69505i | 0.224449 | + | 0.120526i | ||||
\(501\) | −14.0894 | + | 9.21363i | −0.629466 | + | 0.411635i | ||||
\(502\) | −1.96821 | + | 2.44590i | −0.0878455 | + | 0.109166i | ||||
\(503\) | −36.6381 | + | 8.02387i | −1.63361 | + | 0.357767i | −0.934144 | − | 0.356897i | \(-0.883835\pi\) |
−0.699469 | + | 0.714663i | \(0.746580\pi\) | |||||||
\(504\) | 2.98910 | + | 4.96085i | 0.133145 | + | 0.220974i | ||||
\(505\) | 4.76716 | + | 2.95170i | 0.212136 | + | 0.131349i | ||||
\(506\) | 2.24586 | + | 0.278098i | 0.0998408 | + | 0.0123630i | ||||
\(507\) | −0.693937 | + | 18.8192i | −0.0308188 | + | 0.835792i | ||||
\(508\) | 7.92366 | − | 9.84677i | 0.351556 | − | 0.436880i | ||||
\(509\) | −0.930088 | + | 4.97553i | −0.0412254 | + | 0.220536i | −0.997381 | − | 0.0723215i | \(-0.976959\pi\) |
0.956156 | + | 0.292858i | \(0.0946063\pi\) | |||||||
\(510\) | −8.00691 | − | 5.74109i | −0.354552 | − | 0.254220i | ||||
\(511\) | 19.3811 | − | 5.51440i | 0.857370 | − | 0.243943i | ||||
\(512\) | −15.4401 | + | 7.68827i | −0.682364 | + | 0.339777i | ||||
\(513\) | −8.26720 | − | 6.90379i | −0.365006 | − | 0.304810i | ||||
\(514\) | 3.81083i | 0.168088i | ||||||||
\(515\) | −15.5894 | + | 26.1976i | −0.686952 | + | 1.15440i | ||||
\(516\) | 1.73353 | − | 8.97234i | 0.0763145 | − | 0.394985i | ||||
\(517\) | −0.318143 | + | 0.421290i | −0.0139919 | + | 0.0185283i | ||||
\(518\) | −4.65714 | − | 0.287242i | −0.204623 | − | 0.0126207i | ||||
\(519\) | −3.31977 | − | 38.3533i | −0.145722 | − | 1.68352i | ||||
\(520\) | 4.18834 | − | 0.388107i | 0.183671 | − | 0.0170196i | ||||
\(521\) | −8.89811 | − | 25.2510i | −0.389833 | − | 1.10627i | −0.958843 | − | 0.283936i | \(-0.908360\pi\) |
0.569010 | − | 0.822331i | \(-0.307327\pi\) | |||||||
\(522\) | −2.03147 | − | 3.61917i | −0.0889152 | − | 0.158407i | ||||
\(523\) | 4.97070 | + | 1.92566i | 0.217354 | + | 0.0842032i | 0.467457 | − | 0.884016i | \(-0.345170\pi\) |
−0.250103 | + | 0.968219i | \(0.580465\pi\) | |||||||
\(524\) | 4.42678 | − | 35.7497i | 0.193385 | − | 1.56173i | ||||
\(525\) | −13.3770 | + | 4.16646i | −0.583818 | + | 0.181839i | ||||
\(526\) | 0.548231 | − | 4.42740i | 0.0239040 | − | 0.193044i | ||||
\(527\) | 16.1615 | + | 5.14133i | 0.704005 | + | 0.223960i | ||||
\(528\) | −2.24410 | + | 6.24731i | −0.0976618 | + | 0.271879i | ||||
\(529\) | −53.4745 | + | 13.4494i | −2.32498 | + | 0.584756i | ||||
\(530\) | −3.76852 | + | 0.116107i | −0.163694 | + | 0.00504336i | ||||
\(531\) | 1.77478 | + | 10.1752i | 0.0770189 | + | 0.441566i | ||||
\(532\) | 2.68838 | − | 7.62906i | 0.116556 | − | 0.330762i | ||||
\(533\) | 4.28601 | − | 17.0411i | 0.185648 | − | 0.738132i | ||||
\(534\) | −0.981666 | + | 0.408510i | −0.0424808 | + | 0.0176780i | ||||
\(535\) | −12.9985 | − | 33.5530i | −0.561974 | − | 1.45062i | ||||
\(536\) | −1.40257 | + | 6.40433i | −0.0605818 | + | 0.276625i | ||||
\(537\) | 12.1287 | − | 1.04983i | 0.523390 | − | 0.0453035i | ||||
\(538\) | 2.03922 | − | 4.81785i | 0.0879171 | − | 0.207712i | ||||
\(539\) | −0.286639 | − | 3.09333i | −0.0123464 | − | 0.133239i | ||||
\(540\) | −23.9393 | + | 18.5575i | −1.03019 | + | 0.798586i | ||||
\(541\) | −28.5151 | + | 7.17183i | −1.22596 | + | 0.308341i | −0.801991 | − | 0.597336i | \(-0.796226\pi\) |
−0.423968 | + | 0.905677i | \(0.639363\pi\) | |||||||
\(542\) | −1.06782 | − | 3.03025i | −0.0458667 | − | 0.130160i | ||||
\(543\) | 12.7404 | + | 8.55357i | 0.546741 | + | 0.367069i | ||||
\(544\) | −2.01440 | − | 21.7388i | −0.0863665 | − | 0.932043i | ||||
\(545\) | −3.10847 | + | 4.39120i | −0.133152 | + | 0.188098i | ||||
\(546\) | 0.781746 | − | 0.959521i | 0.0334556 | − | 0.0410637i | ||||
\(547\) | 1.12188 | − | 12.1070i | 0.0479682 | − | 0.517660i | −0.937522 | − | 0.347926i | \(-0.886886\pi\) |
0.985490 | − | 0.169733i | \(-0.0542906\pi\) | |||||||
\(548\) | 28.1607 | + | 24.1266i | 1.20296 | + | 1.03064i | ||||
\(549\) | 12.3169 | + | 4.08323i | 0.525671 | + | 0.174268i | ||||
\(550\) | 0.858486 | + | 0.568853i | 0.0366060 | + | 0.0242560i | ||||
\(551\) | −4.25185 | + | 10.9753i | −0.181135 | + | 0.467564i | ||||
\(552\) | 0.363674 | + | 14.6952i | 0.0154790 | + | 0.625470i | ||||
\(553\) | −6.25447 | + | 9.43895i | −0.265967 | + | 0.401385i | ||||
\(554\) | −2.60516 | + | 0.828761i | −0.110683 | + | 0.0352107i | ||||
\(555\) | −2.75076 | − | 49.4742i | −0.116763 | − | 2.10006i | ||||
\(556\) | −32.9962 | − | 23.3576i | −1.39935 | − | 0.990581i | ||||
\(557\) | −15.1724 | + | 2.83621i | −0.642874 | + | 0.120174i | −0.495084 | − | 0.868845i | \(-0.664863\pi\) |
−0.147789 | + | 0.989019i | \(0.547216\pi\) | |||||||
\(558\) | −0.896964 | + | 1.31868i | −0.0379715 | + | 0.0558241i | ||||
\(559\) | −3.91837 | + | 0.608243i | −0.165729 | + | 0.0257259i | ||||
\(560\) | −18.7309 | − | 11.5977i | −0.791523 | − | 0.490091i | ||||
\(561\) | −10.6866 | − | 9.26858i | −0.451190 | − | 0.391320i | ||||
\(562\) | −4.17915 | + | 2.41283i | −0.176287 | + | 0.101779i | ||||
\(563\) | 24.2704 | + | 15.0276i | 1.02288 | + | 0.633338i | 0.931975 | − | 0.362522i | \(-0.118084\pi\) |
0.0909007 | + | 0.995860i | \(0.471025\pi\) | |||||||
\(564\) | −1.48295 | − | 0.807940i | −0.0624436 | − | 0.0340204i | ||||
\(565\) | −0.420189 | + | 0.843853i | −0.0176775 | + | 0.0355012i | ||||
\(566\) | 6.39108 | − | 0.791387i | 0.268637 | − | 0.0332645i | ||||
\(567\) | −2.10592 | + | 17.9747i | −0.0884403 | + | 0.754866i | ||||
\(568\) | 12.2438 | − | 8.11303i | 0.513738 | − | 0.340415i | ||||
\(569\) | 5.92860 | + | 27.0708i | 0.248540 | + | 1.13487i | 0.919413 | + | 0.393294i | \(0.128665\pi\) |
−0.670873 | + | 0.741572i | \(0.734080\pi\) | |||||||
\(570\) | −2.56320 | − | 0.577641i | −0.107360 | − | 0.0241947i | ||||
\(571\) | 15.6937 | + | 27.1822i | 0.656760 | + | 1.13754i | 0.981450 | + | 0.191721i | \(0.0614068\pi\) |
−0.324690 | + | 0.945821i | \(0.605260\pi\) | |||||||
\(572\) | 2.97418 | 0.124357 | ||||||||
\(573\) | 12.8881 | + | 11.8927i | 0.538406 | + | 0.496827i | ||||
\(574\) | 4.59840 | − | 3.70032i | 0.191933 | − | 0.154448i | ||||
\(575\) | −34.7365 | − | 7.60742i | −1.44861 | − | 0.317251i | ||||
\(576\) | −19.4480 | − | 3.87985i | −0.810331 | − | 0.161660i | ||||
\(577\) | −3.76139 | − | 8.17564i | −0.156589 | − | 0.340356i | 0.814089 | − | 0.580740i | \(-0.197237\pi\) |
−0.970678 | + | 0.240383i | \(0.922727\pi\) | |||||||
\(578\) | 10.1735 | + | 2.89461i | 0.423162 | + | 0.120400i | ||||
\(579\) | 1.14099 | + | 9.69560i | 0.0474180 | + | 0.402935i | ||||
\(580\) | 27.5925 | + | 18.2834i | 1.14571 | + | 0.759178i | ||||
\(581\) | 15.3018 | − | 3.35114i | 0.634824 | − | 0.139029i | ||||
\(582\) | −3.14421 | − | 0.115939i | −0.130332 | − | 0.00480583i | ||||
\(583\) | −5.40311 | − | 0.333252i | −0.223774 | − | 0.0138019i | ||||
\(584\) | 4.28840 | − | 8.61227i | 0.177455 | − | 0.356378i | ||||
\(585\) | 11.0901 | + | 7.05397i | 0.458519 | + | 0.291646i | ||||
\(586\) | 1.00034 | − | 1.41315i | 0.0413239 | − | 0.0583765i | ||||
\(587\) | 12.2026 | − | 22.7241i | 0.503655 | − | 0.937925i | −0.493999 | − | 0.869463i | \(-0.664465\pi\) |
0.997654 | − | 0.0684620i | \(-0.0218092\pi\) | |||||||
\(588\) | 9.65198 | − | 2.36550i | 0.398041 | − | 0.0975517i | ||||
\(589\) | 4.50353 | − | 0.417313i | 0.185565 | − | 0.0171951i | ||||
\(590\) | 1.51844 | + | 2.01074i | 0.0625132 | + | 0.0827809i | ||||
\(591\) | 4.26220 | + | 1.68095i | 0.175324 | + | 0.0691450i | ||||
\(592\) | 24.9385 | − | 24.1820i | 1.02496 | − | 0.993872i | ||||
\(593\) | −18.1618 | − | 21.1986i | −0.745817 | − | 0.870521i | 0.249381 | − | 0.968405i | \(-0.419773\pi\) |
−0.995198 | + | 0.0978846i | \(0.968792\pi\) | |||||||
\(594\) | 1.12207 | − | 0.714512i | 0.0460390 | − | 0.0293168i | ||||
\(595\) | 37.4653 | − | 28.2925i | 1.53593 | − | 1.15988i | ||||
\(596\) | 20.0930 | + | 19.4835i | 0.823042 | + | 0.798075i | ||||
\(597\) | 1.31391 | + | 11.1650i | 0.0537747 | + | 0.456952i | ||||
\(598\) | 2.92910 | − | 1.13474i | 0.119780 | − | 0.0464030i | ||||
\(599\) | −15.9115 | + | 31.9545i | −0.650125 | + | 1.30563i | 0.287434 | + | 0.957800i | \(0.407198\pi\) |
−0.937559 | + | 0.347826i | \(0.886920\pi\) | |||||||
\(600\) | −2.83272 | + | 6.06016i | −0.115645 | + | 0.247405i | ||||
\(601\) | −4.73126 | − | 25.3100i | −0.192992 | − | 1.03242i | −0.933016 | − | 0.359836i | \(-0.882833\pi\) |
0.740023 | − | 0.672581i | \(-0.234814\pi\) | |||||||
\(602\) | −1.17345 | − | 0.630130i | −0.0478263 | − | 0.0256822i | ||||
\(603\) | −15.7174 | + | 13.1391i | −0.640064 | + | 0.535065i | ||||
\(604\) | −2.42293 | − | 0.689384i | −0.0985878 | − | 0.0280506i | ||||
\(605\) | −23.1583 | − | 18.6354i | −0.941519 | − | 0.757637i | ||||
\(606\) | 0.376857 | − | 0.691712i | 0.0153088 | − | 0.0280989i | ||||
\(607\) | −48.5783 | − | 6.01530i | −1.97173 | − | 0.244153i | −0.999966 | − | 0.00821114i | \(-0.997386\pi\) |
−0.971767 | − | 0.235942i | \(-0.924182\pi\) | |||||||
\(608\) | −2.75445 | − | 5.12943i | −0.111708 | − | 0.208026i | ||||
\(609\) | 19.3442 | − | 4.11382i | 0.783868 | − | 0.166700i | ||||
\(610\) | 3.12799 | − | 0.485554i | 0.126649 | − | 0.0196595i | ||||
\(611\) | −0.112404 | + | 0.724118i | −0.00454738 | + | 0.0292947i | ||||
\(612\) | 24.2863 | − | 38.1824i | 0.981715 | − | 1.54343i | ||||
\(613\) | 17.3024 | + | 7.96036i | 0.698836 | + | 0.321516i | 0.735226 | − | 0.677822i | \(-0.237076\pi\) |
−0.0363898 | + | 0.999338i | \(0.511586\pi\) | |||||||
\(614\) | 1.70496 | + | 5.99232i | 0.0688067 | + | 0.241830i | ||||
\(615\) | 44.7337 | + | 43.9055i | 1.80384 | + | 1.77044i | ||||
\(616\) | 1.61886 | + | 1.22251i | 0.0652257 | + | 0.0492562i | ||||
\(617\) | −3.66299 | + | 6.34448i | −0.147466 | + | 0.255419i | −0.930290 | − | 0.366824i | \(-0.880445\pi\) |
0.782824 | + | 0.622243i | \(0.213778\pi\) | |||||||
\(618\) | 3.79633 | + | 1.98242i | 0.152711 | + | 0.0797446i | ||||
\(619\) | −21.1461 | − | 36.6262i | −0.849935 | − | 1.47213i | −0.881265 | − | 0.472622i | \(-0.843308\pi\) |
0.0313298 | − | 0.999509i | \(-0.490026\pi\) | |||||||
\(620\) | 1.56304 | − | 12.6228i | 0.0627733 | − | 0.506944i | ||||
\(621\) | −27.2153 | + | 37.0014i | −1.09211 | + | 1.48482i | ||||
\(622\) | −3.30846 | − | 0.832110i | −0.132657 | − | 0.0333646i | ||||
\(623\) | −0.467488 | − | 5.04500i | −0.0187295 | − | 0.202124i | ||||
\(624\) | 1.35820 | + | 9.11353i | 0.0543716 | + | 0.364833i | ||||
\(625\) | 22.5398 | + | 18.1377i | 0.901590 | + | 0.725507i | ||||
\(626\) | 4.92356 | + | 6.11853i | 0.196785 | + | 0.244546i | ||||
\(627\) | −3.58799 | − | 1.16540i | −0.143290 | − | 0.0465416i | ||||
\(628\) | 15.1082 | + | 0.465478i | 0.602882 | + | 0.0185746i | ||||
\(629\) | 28.8545 | + | 68.1715i | 1.15051 | + | 2.71818i | ||||
\(630\) | 1.54484 | + | 4.13573i | 0.0615478 | + | 0.164772i | ||||
\(631\) | 4.70233 | − | 1.82169i | 0.187197 | − | 0.0725204i | −0.265819 | − | 0.964023i | \(-0.585642\pi\) |
0.453016 | + | 0.891503i | \(0.350348\pi\) | |||||||
\(632\) | 1.31866 | + | 5.24298i | 0.0524536 | + | 0.208555i | ||||
\(633\) | −9.69107 | + | 11.8949i | −0.385186 | + | 0.472780i | ||||
\(634\) | −0.848133 | + | 0.525142i | −0.0336837 | + | 0.0208560i | ||||
\(635\) | 14.8562 | − | 12.7281i | 0.589552 | − | 0.505097i | ||||
\(636\) | −1.49332 | − | 17.2523i | −0.0592141 | − | 0.684098i | ||||
\(637\) | −2.38188 | − | 3.59462i | −0.0943735 | − | 0.142424i | ||||
\(638\) | −1.13253 | − | 0.911345i | −0.0448374 | − | 0.0360805i | ||||
\(639\) | 45.7704 | + | 3.38006i | 1.81065 | + | 0.133713i | ||||
\(640\) | −20.8831 | + | 5.94175i | −0.825477 | + | 0.234868i | ||||
\(641\) | 35.7924 | + | 15.1496i | 1.41371 | + | 0.598374i | 0.956698 | − | 0.291084i | \(-0.0940158\pi\) |
0.457017 | + | 0.889458i | \(0.348918\pi\) | |||||||
\(642\) | −4.60512 | + | 2.08498i | −0.181749 | + | 0.0822878i | ||||
\(643\) | 41.9445 | − | 7.84078i | 1.65413 | − | 0.309210i | 0.727761 | − | 0.685831i | \(-0.240561\pi\) |
0.926367 | + | 0.376621i | \(0.122914\pi\) | |||||||
\(644\) | −33.1785 | − | 9.44010i | −1.30742 | − | 0.371992i | ||||
\(645\) | 5.18939 | − | 13.1582i | 0.204332 | − | 0.518103i | ||||
\(646\) | 3.89559 | − | 0.482379i | 0.153270 | − | 0.0189789i | ||||
\(647\) | 3.73472 | + | 5.27589i | 0.146827 | + | 0.207417i | 0.882995 | − | 0.469383i | \(-0.155523\pi\) |
−0.736168 | + | 0.676799i | \(0.763367\pi\) | |||||||
\(648\) | 5.66487 | + | 6.52479i | 0.222537 | + | 0.256318i | ||||
\(649\) | 1.90448 | + | 3.07585i | 0.0747575 | + | 0.120738i | ||||
\(650\) | 1.42341 | + | 0.131898i | 0.0558306 | + | 0.00517346i | ||||
\(651\) | −4.72836 | − | 5.94938i | −0.185319 | − | 0.233175i | ||||
\(652\) | 4.06265 | + | 6.13116i | 0.159106 | + | 0.240115i | ||||
\(653\) | −14.8855 | − | 29.8942i | −0.582516 | − | 1.16985i | −0.968886 | − | 0.247507i | \(-0.920389\pi\) |
0.386370 | − | 0.922344i | \(-0.373729\pi\) | |||||||
\(654\) | 0.640199 | + | 0.401779i | 0.0250338 | + | 0.0157108i | ||||
\(655\) | 16.9030 | − | 53.1334i | 0.660453 | − | 2.07610i | ||||
\(656\) | −2.70510 | + | 43.8586i | −0.105617 | + | 1.71239i | ||||
\(657\) | 27.0712 | − | 13.0730i | 1.05615 | − | 0.510027i | ||||
\(658\) | −0.176709 | + | 0.171348i | −0.00688883 | + | 0.00667986i | ||||
\(659\) | −5.03515 | + | 7.11294i | −0.196142 | + | 0.277081i | −0.902424 | − | 0.430849i | \(-0.858214\pi\) |
0.706282 | + | 0.707930i | \(0.250371\pi\) | |||||||
\(660\) | −5.36014 | + | 9.15551i | −0.208643 | + | 0.356378i | ||||
\(661\) | −12.5314 | + | 13.7463i | −0.487416 | + | 0.534669i | −0.932668 | − | 0.360736i | \(-0.882526\pi\) |
0.445253 | + | 0.895405i | \(0.353114\pi\) | |||||||
\(662\) | 2.57172 | + | 0.996291i | 0.0999528 | + | 0.0387219i | ||||
\(663\) | −19.1553 | − | 4.31683i | −0.743930 | − | 0.167652i | ||||
\(664\) | 3.73953 | − | 6.47706i | 0.145122 | − | 0.251359i | ||||
\(665\) | 6.26012 | − | 10.8428i | 0.242757 | − | 0.420467i | ||||
\(666\) | −6.91832 | + | 0.771701i | −0.268079 | + | 0.0299028i | ||||
\(667\) | 47.8321 | + | 15.2165i | 1.85207 | + | 0.589185i | ||||
\(668\) | −16.8845 | − | 8.40747i | −0.653280 | − | 0.325295i | ||||
\(669\) | −12.4728 | − | 25.4338i | −0.482228 | − | 0.983327i | ||||
\(670\) | −1.94794 | + | 4.60219i | −0.0752554 | + | 0.177798i | ||||
\(671\) | 4.53631 | − | 0.279790i | 0.175122 | − | 0.0108012i | ||||
\(672\) | −4.68030 | + | 8.59058i | −0.180547 | + | 0.331389i | ||||
\(673\) | −4.36977 | + | 2.34652i | −0.168442 | + | 0.0904516i | −0.555148 | − | 0.831752i | \(-0.687338\pi\) |
0.386706 | + | 0.922203i | \(0.373613\pi\) | |||||||
\(674\) | −4.84445 | − | 2.79694i | −0.186601 | − | 0.107734i | ||||
\(675\) | −18.5923 | + | 9.55274i | −0.715618 | + | 0.367685i | ||||
\(676\) | −18.5893 | + | 9.98225i | −0.714974 | + | 0.383933i | ||||
\(677\) | 13.2360 | + | 16.4484i | 0.508700 | + | 0.632163i | 0.966431 | − | 0.256928i | \(-0.0827102\pi\) |
−0.457731 | + | 0.889091i | \(0.651338\pi\) | |||||||
\(678\) | 0.121645 | + | 0.0523589i | 0.00467174 | + | 0.00201083i | ||||
\(679\) | 4.98290 | − | 14.1404i | 0.191226 | − | 0.542660i | ||||
\(680\) | 2.06825 | − | 22.3200i | 0.0793137 | − | 0.855932i | ||||
\(681\) | −19.6055 | + | 38.7826i | −0.751285 | + | 1.48615i | ||||
\(682\) | −0.119502 | + | 0.545662i | −0.00457597 | + | 0.0208945i | ||||
\(683\) | −4.37187 | − | 0.269648i | −0.167285 | − | 0.0103178i | −0.0222982 | − | 0.999751i | \(-0.507098\pi\) |
−0.144987 | + | 0.989434i | \(0.546314\pi\) | |||||||
\(684\) | 1.99543 | − | 11.9017i | 0.0762973 | − | 0.455074i | ||||
\(685\) | 35.9840 | + | 44.7174i | 1.37488 | + | 1.70856i | ||||
\(686\) | 0.300286 | − | 4.86862i | 0.0114650 | − | 0.185885i | ||||
\(687\) | −5.00105 | − | 12.0177i | −0.190802 | − | 0.458504i | ||||
\(688\) | 9.35235 | − | 3.29564i | 0.356555 | − | 0.125645i | ||||
\(689\) | −6.82634 | + | 3.14061i | −0.260063 | + | 0.119648i | ||||
\(690\) | −1.78579 | + | 11.0618i | −0.0679838 | + | 0.421115i | ||||
\(691\) | −5.00855 | − | 10.8864i | −0.190534 | − | 0.414139i | 0.789284 | − | 0.614028i | \(-0.210452\pi\) |
−0.979819 | + | 0.199889i | \(0.935942\pi\) | |||||||
\(692\) | 35.2049 | − | 24.9210i | 1.33829 | − | 0.947354i | ||||
\(693\) | 1.66071 | + | 6.11738i | 0.0630851 | + | 0.232380i | ||||
\(694\) | −0.315078 | − | 0.0588984i | −0.0119602 | − | 0.00223575i | ||||
\(695\) | −43.5599 | − | 44.9226i | −1.65232 | − | 1.70401i | ||||
\(696\) | 4.77072 | − | 8.14874i | 0.180834 | − | 0.308877i | ||||
\(697\) | −85.0700 | − | 39.1384i | −3.22226 | − | 1.48247i | ||||
\(698\) | −1.09874 | + | 0.136054i | −0.0415880 | + | 0.00514971i | ||||
\(699\) | 2.06454 | + | 23.8516i | 0.0780882 | + | 0.902151i | ||||
\(700\) | −11.6010 | − | 10.5757i | −0.438478 | − | 0.399726i | ||||
\(701\) | 24.6789 | − | 30.6685i | 0.932108 | − | 1.15833i | −0.0550332 | − | 0.998485i | \(-0.517526\pi\) |
0.987141 | − | 0.159850i | \(-0.0511010\pi\) | |||||||
\(702\) | 0.902972 | − | 1.61063i | 0.0340805 | − | 0.0607892i | ||||
\(703\) | 14.1728 | + | 13.7428i | 0.534536 | + | 0.518320i | ||||
\(704\) | −6.82771 | + | 1.27632i | −0.257329 | + | 0.0481031i | ||||
\(705\) | −2.02649 | − | 1.65104i | −0.0763222 | − | 0.0621816i | ||||
\(706\) | −2.08652 | + | 3.88560i | −0.0785273 | + | 0.146237i | ||||
\(707\) | 2.61296 | + | 2.69470i | 0.0982704 | + | 0.101345i | ||||
\(708\) | −8.83381 | + | 7.47604i | −0.331995 | + | 0.280967i | ||||
\(709\) | 6.62679 | − | 6.04111i | 0.248874 | − | 0.226879i | −0.539639 | − | 0.841896i | \(-0.681439\pi\) |
0.788513 | + | 0.615018i | \(0.210851\pi\) | |||||||
\(710\) | 10.3104 | − | 4.36401i | 0.386942 | − | 0.163778i | ||||
\(711\) | −6.77263 | + | 15.4760i | −0.253993 | + | 0.580393i | ||||
\(712\) | −1.93047 | − | 1.45782i | −0.0723474 | − | 0.0546342i | ||||
\(713\) | −2.95858 | − | 19.0595i | −0.110800 | − | 0.713785i | ||||
\(714\) | −4.26079 | − | 5.03462i | −0.159456 | − | 0.188416i | ||||
\(715\) | 4.52516 | + | 0.845899i | 0.169231 | + | 0.0316348i | ||||
\(716\) | 7.88090 | + | 11.1330i | 0.294523 | + | 0.416060i | ||||
\(717\) | −6.38194 | − | 9.13230i | −0.238338 | − | 0.341052i | ||||
\(718\) | −1.40057 | + | 2.11368i | −0.0522689 | + | 0.0788818i | ||||
\(719\) | 11.1692 | + | 1.38305i | 0.416542 | + | 0.0515791i | 0.328423 | − | 0.944531i | \(-0.393483\pi\) |
0.0881194 | + | 0.996110i | \(0.471914\pi\) | |||||||
\(720\) | −30.5022 | − | 12.2436i | −1.13675 | − | 0.456292i | ||||
\(721\) | −14.3986 | + | 14.4624i | −0.536232 | + | 0.538609i | ||||
\(722\) | −3.10236 | + | 1.79115i | −0.115458 | + | 0.0666597i | ||||
\(723\) | −27.7820 | + | 5.90822i | −1.03322 | + | 0.219729i | ||||
\(724\) | −1.05844 | + | 17.1608i | −0.0393367 | + | 0.637776i | ||||
\(725\) | 16.3988 | + | 15.9013i | 0.609035 | + | 0.590560i | ||||
\(726\) | −2.43339 | + | 3.39376i | −0.0903114 | + | 0.125954i | ||||
\(727\) | 16.6039 | + | 14.2253i | 0.615803 | + | 0.527588i | 0.902643 | − | 0.430391i | \(-0.141624\pi\) |
−0.286840 | + | 0.957979i | \(0.592605\pi\) | |||||||
\(728\) | 2.78252 | + | 0.431927i | 0.103127 | + | 0.0160083i | ||||
\(729\) | 1.51274 | + | 26.9576i | 0.0560272 | + | 0.998429i | ||||
\(730\) | 4.41949 | − | 5.85235i | 0.163573 | − | 0.216605i | ||||
\(731\) | −0.650741 | + | 21.1213i | −0.0240685 | + | 0.781200i | ||||
\(732\) | 3.02424 | + | 14.2207i | 0.111779 | + | 0.525613i | ||||
\(733\) | −14.3114 | + | 44.9870i | −0.528603 | + | 1.66163i | 0.202435 | + | 0.979296i | \(0.435115\pi\) |
−0.731038 | + | 0.682337i | \(0.760964\pi\) | |||||||
\(734\) | 1.92025 | + | 0.298078i | 0.0708777 | + | 0.0110023i | ||||
\(735\) | 15.3581 | − | 0.853906i | 0.566491 | − | 0.0314968i | ||||
\(736\) | −21.1101 | + | 13.0708i | −0.778128 | + | 0.481796i | ||||
\(737\) | −3.39459 | + | 6.32153i | −0.125041 | + | 0.232857i | ||||
\(738\) | 5.80977 | − | 6.61723i | 0.213861 | − | 0.243584i | ||||
\(739\) | 2.66414 | − | 2.74748i | 0.0980019 | − | 0.101068i | −0.667130 | − | 0.744941i | \(-0.732478\pi\) |
0.765132 | + | 0.643873i | \(0.222674\pi\) | |||||||
\(740\) | 46.2799 | − | 30.6662i | 1.70128 | − | 1.12731i | ||||
\(741\) | −5.15308 | + | 0.931009i | −0.189303 | + | 0.0342015i | ||||
\(742\) | −2.46555 | − | 0.539964i | −0.0905132 | − | 0.0198227i | ||||
\(743\) | −14.5526 | − | 3.66012i | −0.533882 | − | 0.134277i | −0.0324494 | − | 0.999473i | \(-0.510331\pi\) |
−0.501433 | + | 0.865197i | \(0.667194\pi\) | |||||||
\(744\) | −3.62013 | − | 0.245301i | −0.132720 | − | 0.00899319i | ||||
\(745\) | 25.0297 | + | 35.3584i | 0.917018 | + | 1.29543i | ||||
\(746\) | −3.19385 | + | 2.73633i | −0.116935 | + | 0.100184i | ||||
\(747\) | 21.6302 | − | 8.84787i | 0.791409 | − | 0.323727i | ||||
\(748\) | 2.91237 | − | 15.5798i | 0.106487 | − | 0.569653i | ||||
\(749\) | −2.96016 | − | 23.9056i | −0.108162 | − | 0.873493i | ||||
\(750\) | 0.721824 | − | 1.00670i | 0.0263573 | − | 0.0367596i | ||||
\(751\) | 24.0051 | + | 16.9929i | 0.875958 | + | 0.620078i | 0.925522 | − | 0.378693i | \(-0.123626\pi\) |
−0.0495640 | + | 0.998771i | \(0.515783\pi\) | |||||||
\(752\) | −0.0564317 | − | 1.83162i | −0.00205785 | − | 0.0667924i | ||||
\(753\) | −15.4396 | − | 16.1168i | −0.562649 | − | 0.587328i | ||||
\(754\) | −1.98345 | − | 0.370771i | −0.0722329 | − | 0.0135027i | ||||
\(755\) | −3.49037 | − | 1.73800i | −0.127028 | − | 0.0632523i | ||||
\(756\) | −18.5720 | + | 8.13891i | −0.675457 | + | 0.296009i | ||||
\(757\) | −14.9213 | + | 12.0071i | −0.542323 | + | 0.436406i | −0.858887 | − | 0.512166i | \(-0.828843\pi\) |
0.316564 | + | 0.948571i | \(0.397471\pi\) | |||||||
\(758\) | −7.07893 | − | 2.25197i | −0.257118 | − | 0.0817952i | ||||
\(759\) | −4.01852 | + | 15.5781i | −0.145863 | + | 0.565448i | ||||
\(760\) | −1.81220 | − | 5.69655i | −0.0657355 | − | 0.206636i | ||||
\(761\) | 20.1868 | − | 5.07717i | 0.731769 | − | 0.184047i | 0.139996 | − | 0.990152i | \(-0.455291\pi\) |
0.591773 | + | 0.806105i | \(0.298428\pi\) | |||||||
\(762\) | −1.90123 | − | 1.98463i | −0.0688744 | − | 0.0718954i | ||||
\(763\) | −2.73509 | + | 2.34328i | −0.0990169 | + | 0.0848325i | ||||
\(764\) | −4.20352 | + | 19.1938i | −0.152078 | + | 0.694409i | ||||
\(765\) | 47.8107 | − | 51.1863i | 1.72860 | − | 1.85065i | ||||
\(766\) | 1.54375 | + | 2.87483i | 0.0557779 | + | 0.103872i | ||||
\(767\) | 4.34887 | + | 2.51082i | 0.157029 | + | 0.0906605i | ||||
\(768\) | −6.48334 | − | 18.7601i | −0.233948 | − | 0.676948i | ||||
\(769\) | 13.1154 | − | 21.1821i | 0.472953 | − | 0.763845i | −0.523132 | − | 0.852252i | \(-0.675236\pi\) |
0.996084 | + | 0.0884072i | \(0.0281777\pi\) | |||||||
\(770\) | 1.04175 | + | 1.14275i | 0.0375421 | + | 0.0411817i | ||||
\(771\) | −26.8656 | − | 3.49203i | −0.967541 | − | 0.125762i | ||||
\(772\) | −8.72887 | + | 6.59174i | −0.314159 | + | 0.237242i | ||||
\(773\) | 4.97704 | + | 40.1936i | 0.179012 | + | 1.44566i | 0.769516 | + | 0.638628i | \(0.220498\pi\) |
−0.590504 | + | 0.807035i | \(0.701071\pi\) | |||||||
\(774\) | −1.88618 | − | 0.625297i | −0.0677973 | − | 0.0224758i | ||||
\(775\) | 2.66091 | − | 8.36441i | 0.0955827 | − | 0.300458i | ||||
\(776\) | −3.38657 | − | 6.30660i | −0.121571 | − | 0.226394i | ||||
\(777\) | 6.29255 | − | 32.5687i | 0.225744 | − | 1.16840i | ||||
\(778\) | 5.17606i | 0.185571i | ||||||||
\(779\) | −24.9607 | − | 0.769032i | −0.894311 | − | 0.0275534i | ||||
\(780\) | −0.542644 | + | 14.7162i | −0.0194298 | + | 0.526926i | ||||
\(781\) | 15.3185 | − | 4.87318i | 0.548140 | − | 0.174376i | ||||
\(782\) | −3.07593 | − | 16.4548i | −0.109995 | − | 0.588422i | ||||
\(783\) | 27.3760 | − | 11.0051i | 0.978338 | − | 0.393290i | ||||
\(784\) | 7.50670 | + | 7.74154i | 0.268096 | + | 0.276484i | ||||
\(785\) | 22.8544 | + | 5.00519i | 0.815708 | + | 0.178643i | ||||
\(786\) | −7.58488 | − | 1.95660i | −0.270544 | − | 0.0697895i | ||||
\(787\) | −4.66681 | − | 21.3093i | −0.166354 | − | 0.759595i | −0.983169 | − | 0.182696i | \(-0.941518\pi\) |
0.816816 | − | 0.576899i | \(-0.195737\pi\) | |||||||
\(788\) | 0.787431 | + | 5.07272i | 0.0280511 | + | 0.180708i | ||||
\(789\) | 30.7100 | + | 7.92195i | 1.09330 | + | 0.282029i | ||||
\(790\) | 0.253691 | + | 4.11316i | 0.00902593 | + | 0.146340i | ||||
\(791\) | −0.410583 | + | 0.479234i | −0.0145986 | + | 0.0170396i | ||||
\(792\) | 2.69266 | + | 1.38174i | 0.0956796 | + | 0.0490981i | ||||
\(793\) | 5.36374 | − | 3.32109i | 0.190472 | − | 0.117935i | ||||
\(794\) | −5.60218 | + | 2.57741i | −0.198814 | + | 0.0914689i | ||||
\(795\) | 2.63474 | − | 26.6737i | 0.0934445 | − | 0.946020i | ||||
\(796\) | −10.0517 | + | 7.59072i | −0.356274 | + | 0.269046i | ||||
\(797\) | 8.15695 | + | 6.98844i | 0.288934 | + | 0.247543i | 0.783204 | − | 0.621765i | \(-0.213584\pi\) |
−0.494270 | + | 0.869309i | \(0.664565\pi\) | |||||||
\(798\) | −1.56975 | − | 0.793546i | −0.0555686 | − | 0.0280912i | ||||
\(799\) | 3.68311 | + | 1.29788i | 0.130299 | + | 0.0459156i | ||||
\(800\) | −11.2510 | + | 1.04256i | −0.397782 | + | 0.0368599i | ||||
\(801\) | −1.98037 | − | 7.29489i | −0.0699730 | − | 0.257752i | ||||
\(802\) | 0.841392 | + | 2.95719i | 0.0297106 | + | 0.104422i | ||||
\(803\) | 7.09370 | − | 7.78142i | 0.250331 | − | 0.274600i | ||||
\(804\) | −21.6017 | − | 7.75954i | −0.761832 | − | 0.273658i | ||||
\(805\) | −47.7955 | − | 23.7993i | −1.68457 | − | 0.838817i | ||||
\(806\) | 0.212190 | + | 0.745769i | 0.00747406 | + | 0.0262686i | ||||
\(807\) | 32.0963 | + | 18.7909i | 1.12984 | + | 0.661472i | ||||
\(808\) | 1.79129 | − | 0.0551891i | 0.0630174 | − | 0.00194155i | ||||
\(809\) | 0.0381513 | + | 1.23829i | 0.00134133 | + | 0.0435359i | 0.999959 | − | 0.00901981i | \(-0.00287113\pi\) |
−0.998618 | + | 0.0525557i | \(0.983263\pi\) | |||||||
\(810\) | 3.33068 | + | 5.68235i | 0.117028 | + | 0.199657i | ||||
\(811\) | 11.9905 | + | 30.9509i | 0.421042 | + | 1.08683i | 0.968282 | + | 0.249859i | \(0.0803843\pi\) |
−0.547240 | + | 0.836976i | \(0.684322\pi\) | |||||||
\(812\) | 14.9281 | + | 16.3754i | 0.523874 | + | 0.574662i | ||||
\(813\) | 22.3412 | − | 4.75116i | 0.783539 | − | 0.166631i | ||||
\(814\) | −2.14809 | + | 1.15350i | −0.0752905 | + | 0.0404301i | ||||
\(815\) | 4.43746 | + | 10.4839i | 0.155437 | + | 0.367235i | ||||
\(816\) | 49.0697 | + | 1.80939i | 1.71778 | + | 0.0633413i | ||||
\(817\) | 2.03573 | + | 5.25482i | 0.0712212 | + | 0.183843i | ||||
\(818\) | 5.32232 | − | 1.87551i | 0.186091 | − | 0.0655758i | ||||
\(819\) | 6.04809 | + | 6.39041i | 0.211337 | + | 0.223299i | ||||
\(820\) | −17.1297 | + | 68.1075i | −0.598196 | + | 2.37842i | ||||
\(821\) | 13.7427 | + | 9.10621i | 0.479622 | + | 0.317809i | 0.768826 | − | 0.639459i | \(-0.220841\pi\) |
−0.289204 | + | 0.957268i | \(0.593390\pi\) | |||||||
\(822\) | 5.99189 | − | 5.39624i | 0.208991 | − | 0.188215i | ||||
\(823\) | −31.3038 | − | 18.0732i | −1.09118 | − | 0.629993i | −0.157290 | − | 0.987552i | \(-0.550276\pi\) |
−0.933890 | + | 0.357559i | \(0.883609\pi\) | |||||||
\(824\) | 0.471529 | + | 9.73244i | 0.0164265 | + | 0.339045i | ||||
\(825\) | −4.79698 | + | 5.53089i | −0.167009 | + | 0.192561i | ||||
\(826\) | 0.657475 | + | 1.55335i | 0.0228765 | + | 0.0540479i | ||||
\(827\) | 4.73817 | + | 9.51553i | 0.164762 | + | 0.330888i | 0.962123 | − | 0.272616i | \(-0.0878887\pi\) |
−0.797361 | + | 0.603503i | \(0.793771\pi\) | |||||||
\(828\) | −51.1831 | − | 5.36892i | −1.77874 | − | 0.186583i | ||||
\(829\) | −3.69212 | + | 8.02508i | −0.128233 | + | 0.278723i | −0.961829 | − | 0.273652i | \(-0.911768\pi\) |
0.833596 | + | 0.552375i | \(0.186278\pi\) | |||||||
\(830\) | 3.70917 | − | 4.32936i | 0.128747 | − | 0.150274i | ||||
\(831\) | −3.45538 | − | 19.1253i | −0.119866 | − | 0.663450i | ||||
\(832\) | −7.51150 | + | 6.04449i | −0.260415 | + | 0.209555i | ||||
\(833\) | −21.1622 | + | 8.95719i | −0.733226 | + | 0.310348i | ||||
\(834\) | −5.96159 | + | 6.46052i | −0.206433 | + | 0.223709i | ||||
\(835\) | −23.2982 | − | 17.5940i | −0.806267 | − | 0.608864i | ||||
\(836\) | −0.904259 | − | 4.12897i | −0.0312744 | − | 0.142803i | ||||
\(837\) | −8.47450 | − | 7.53179i | −0.292922 | − | 0.260337i | ||||
\(838\) | 0.111989 | − | 0.393601i | 0.00386860 | − | 0.0135967i | ||||
\(839\) | 8.36218 | + | 13.5054i | 0.288695 | + | 0.466258i | 0.961978 | − | 0.273127i | \(-0.0880578\pi\) |
−0.673283 | + | 0.739384i | \(0.735117\pi\) | |||||||
\(840\) | −6.34432 | + | 7.78706i | −0.218900 | + | 0.268679i | ||||
\(841\) | −2.10986 | − | 2.46264i | −0.0727540 | − | 0.0849188i | ||||
\(842\) | −0.369962 | + | 0.105263i | −0.0127497 | + | 0.00362761i | ||||
\(843\) | −13.1805 | − | 31.6732i | −0.453959 | − | 1.09088i | ||||
\(844\) | −16.9872 | − | 2.63690i | −0.584724 | − | 0.0907660i | ||||
\(845\) | −31.1223 | + | 9.90073i | −1.07064 | + | 0.340596i | ||||
\(846\) | −0.215787 | + | 0.297134i | −0.00741891 | + | 0.0102157i | ||||
\(847\) | −11.9919 | − | 15.8798i | −0.412047 | − | 0.545638i | ||||
\(848\) | 15.3369 | − | 10.8567i | 0.526670 | − | 0.372822i | ||||
\(849\) | −0.277308 | + | 45.7811i | −0.00951720 | + | 1.57120i | ||||
\(850\) | 2.08475 | − | 7.32712i | 0.0715062 | − | 0.251318i | ||||
\(851\) | 54.7750 | − | 63.9336i | 1.87766 | − | 2.19162i | ||||
\(852\) | 22.6416 | + | 46.1692i | 0.775689 | + | 1.58173i | ||||
\(853\) | −17.8181 | − | 8.19764i | −0.610081 | − | 0.280682i | 0.0886540 | − | 0.996062i | \(-0.471743\pi\) |
−0.698735 | + | 0.715381i | \(0.746253\pi\) | |||||||
\(854\) | 2.11003 | + | 0.195523i | 0.0722038 | + | 0.00669067i | ||||
\(855\) | 6.42103 | − | 17.5407i | 0.219595 | − | 0.599880i | ||||
\(856\) | −9.38713 | − | 6.64501i | −0.320845 | − | 0.227122i | ||||
\(857\) | −2.97651 | + | 15.9229i | −0.101675 | + | 0.543916i | 0.893765 | + | 0.448535i | \(0.148054\pi\) |
−0.995441 | + | 0.0953810i | \(0.969593\pi\) | |||||||
\(858\) | 0.0833628 | − | 0.641343i | 0.00284596 | − | 0.0218951i | ||||
\(859\) | 43.7824 | − | 21.8011i | 1.49384 | − | 0.743842i | 0.501241 | − | 0.865308i | \(-0.332877\pi\) |
0.992596 | + | 0.121465i | \(0.0387594\pi\) | |||||||
\(860\) | 15.6604 | − | 2.43094i | 0.534015 | − | 0.0828945i | ||||
\(861\) | 21.8728 | + | 35.8086i | 0.745423 | + | 1.22035i | ||||
\(862\) | 3.63221 | + | 7.29447i | 0.123714 | + | 0.248451i | ||||
\(863\) | 18.4051 | + | 16.7785i | 0.626518 | + | 0.571147i | 0.923434 | − | 0.383757i | \(-0.125370\pi\) |
−0.296916 | + | 0.954904i | \(0.595958\pi\) | |||||||
\(864\) | −4.67652 | + | 13.8255i | −0.159098 | + | 0.470354i | ||||
\(865\) | 60.6513 | − | 27.9040i | 2.06221 | − | 0.948766i | ||||
\(866\) | −4.39188 | − | 5.12623i | −0.149242 | − | 0.174196i | ||||
\(867\) | −29.7289 | + | 69.0688i | −1.00965 | + | 2.34570i | ||||
\(868\) | 3.07587 | − | 7.93973i | 0.104402 | − | 0.269492i | ||||
\(869\) | −0.182210 | + | 5.91406i | −0.00618106 | + | 0.200621i | ||||
\(870\) | 4.71596 | − | 5.43748i | 0.159886 | − | 0.184348i | ||||
\(871\) | 9.95982i | 0.337476i | ||||||||
\(872\) | −0.0529556 | + | 1.71880i | −0.00179330 | + | 0.0582059i | ||||
\(873\) | 3.69853 | − | 22.0599i | 0.125176 | − | 0.746613i | ||||
\(874\) | −2.46588 | − | 3.72138i | −0.0834096 | − | 0.125878i | ||||
\(875\) | 3.55720 | + | 4.71049i | 0.120255 | + | 0.159244i | ||||
\(876\) | 27.9649 | + | 18.7750i | 0.944847 | + | 0.634347i | ||||
\(877\) | 0.171625 | + | 2.78261i | 0.00579538 | + | 0.0939620i | 0.999895 | − | 0.0145117i | \(-0.00461937\pi\) |
−0.994099 | + | 0.108474i | \(0.965404\pi\) | |||||||
\(878\) | −0.707515 | + | 0.644985i | −0.0238775 | + | 0.0217672i | ||||
\(879\) | 9.04574 | + | 8.34717i | 0.305105 | + | 0.281543i | ||||
\(880\) | −11.5121 | −0.388073 | ||||||||
\(881\) | 4.19391 | + | 7.26406i | 0.141296 | + | 0.244732i | 0.927985 | − | 0.372617i | \(-0.121540\pi\) |
−0.786689 | + | 0.617350i | \(0.788206\pi\) | |||||||
\(882\) | −0.239556 | − | 2.14762i | −0.00806626 | − | 0.0723143i | ||||
\(883\) | 5.56138 | + | 35.8270i | 0.187155 | + | 1.20568i | 0.876558 | + | 0.481297i | \(0.159834\pi\) |
−0.689402 | + | 0.724379i | \(0.742127\pi\) | |||||||
\(884\) | −6.66948 | − | 20.9651i | −0.224319 | − | 0.705133i | ||||
\(885\) | −15.5668 | + | 8.86218i | −0.523271 | + | 0.297899i | ||||
\(886\) | −5.83304 | − | 0.540511i | −0.195965 | − | 0.0181588i | ||||
\(887\) | −2.09548 | − | 8.33160i | −0.0703594 | − | 0.279748i | 0.924477 | − | 0.381237i | \(-0.124502\pi\) |
−0.994837 | + | 0.101490i | \(0.967639\pi\) | |||||||
\(888\) | −9.46761 | − | 12.6963i | −0.317712 | − | 0.426061i | ||||
\(889\) | 11.7232 | − | 5.83748i | 0.393185 | − | 0.195783i | ||||
\(890\) | −1.24227 | − | 1.36271i | −0.0416411 | − | 0.0456781i | ||||
\(891\) | 4.00897 | + | 8.56510i | 0.134306 | + | 0.286942i | ||||
\(892\) | 17.5315 | − | 26.4577i | 0.586999 | − | 0.885870i | ||||
\(893\) | 1.03945 | − | 0.0641109i | 0.0347838 | − | 0.00214539i | ||||
\(894\) | 4.76454 | − | 3.78669i | 0.159350 | − | 0.126646i | ||||
\(895\) | 8.82424 | + | 19.1801i | 0.294962 | + | 0.641120i | ||||
\(896\) | −14.5279 | + | 0.447599i | −0.485342 | + | 0.0149532i | ||||
\(897\) | 5.31563 | + | 21.6894i | 0.177484 | + | 0.724189i | ||||
\(898\) | −2.18018 | + | 4.73878i | −0.0727537 | + | 0.158135i | ||||
\(899\) | −4.82935 | + | 11.4098i | −0.161068 | + | 0.380538i | ||||
\(900\) | −19.7614 | − | 12.5694i | −0.658713 | − | 0.418981i | ||||
\(901\) | 9.76713 | + | 38.8340i | 0.325390 | + | 1.29375i | ||||
\(902\) | 1.02507 | − | 2.90893i | 0.0341310 | − | 0.0968569i | ||||
\(903\) | 5.51758 | − | 7.69518i | 0.183614 | − | 0.256080i | ||||
\(904\) | 0.0370269 | + | 0.299022i | 0.00123150 | + | 0.00994532i | ||||
\(905\) | −6.49116 | + | 25.8088i | −0.215774 | + | 0.857912i | ||||
\(906\) | −0.216568 | + | 0.503151i | −0.00719500 | + | 0.0167161i | ||||
\(907\) | −5.73102 | + | 36.9198i | −0.190295 | + | 1.22590i | 0.679940 | + | 0.733268i | \(0.262006\pi\) |
−0.870236 | + | 0.492636i | \(0.836034\pi\) | |||||||
\(908\) | −48.5976 | + | 2.99740i | −1.61277 | + | 0.0994722i | ||||
\(909\) | 4.53110 | + | 3.29062i | 0.150287 | + | 0.109143i | ||||
\(910\) | 2.02439 | + | 0.713367i | 0.0671078 | + | 0.0236479i | ||||
\(911\) | −0.446010 | − | 14.4763i | −0.0147770 | − | 0.479621i | −0.977720 | − | 0.209915i | \(-0.932681\pi\) |
0.962943 | − | 0.269706i | \(-0.0869265\pi\) | |||||||
\(912\) | 12.2391 | − | 4.65639i | 0.405277 | − | 0.154189i | ||||
\(913\) | 5.87641 | − | 5.69815i | 0.194481 | − | 0.188581i | ||||
\(914\) | 0.776306 | − | 5.00105i | 0.0256779 | − | 0.165420i | ||||
\(915\) | 0.556743 | + | 22.4967i | 0.0184053 | + | 0.743717i | ||||
\(916\) | 8.78904 | − | 11.6386i | 0.290398 | − | 0.384549i | ||||
\(917\) | 19.6496 | − | 31.7352i | 0.648887 | − | 1.04799i | ||||
\(918\) | −7.55280 | − | 6.30722i | −0.249280 | − | 0.208169i | ||||
\(919\) | 12.3626 | − | 31.9116i | 0.407806 | − | 1.05267i | −0.565823 | − | 0.824527i | \(-0.691441\pi\) |
0.973628 | − | 0.228141i | \(-0.0732646\pi\) | |||||||
\(920\) | −23.7714 | + | 9.20907i | −0.783718 | + | 0.303614i | ||||
\(921\) | −43.8070 | + | 6.52862i | −1.44349 | + | 0.215125i | ||||
\(922\) | 4.37872 | − | 3.09963i | 0.144206 | − | 0.102081i | ||||
\(923\) | 15.5330 | − | 16.0189i | 0.511274 | − | 0.527269i | ||||
\(924\) | −4.97485 | + | 5.06869i | −0.163661 | + | 0.166748i | ||||
\(925\) | 35.2823 | − | 14.9337i | 1.16008 | − | 0.491018i | ||||
\(926\) | −1.35652 | −0.0445781 | ||||||||
\(927\) | −17.4544 | + | 24.9468i | −0.573278 | + | 0.819361i | ||||
\(928\) | 15.9493 | 0.523560 | ||||||||
\(929\) | −43.6331 | + | 18.4683i | −1.43156 | + | 0.605926i | −0.961026 | − | 0.276458i | \(-0.910839\pi\) |
−0.470531 | + | 0.882384i | \(0.655938\pi\) | |||||||
\(930\) | −2.67813 | − | 0.690852i | −0.0878194 | − | 0.0226539i | ||||
\(931\) | −4.26612 | + | 4.39959i | −0.139817 | + | 0.144191i | ||||
\(932\) | −21.8936 | + | 15.4982i | −0.717150 | + | 0.507660i | ||||
\(933\) | 8.89791 | − | 22.5615i | 0.291304 | − | 0.738630i | ||||
\(934\) | 5.22559 | − | 2.02441i | 0.170987 | − | 0.0662406i | ||||
\(935\) | 8.86221 | − | 22.8760i | 0.289825 | − | 0.748125i | ||||
\(936\) | 4.20024 | − | 0.0784929i | 0.137289 | − | 0.00256562i | ||||
\(937\) | −8.67802 | + | 14.0155i | −0.283499 | + | 0.457866i | −0.960565 | − | 0.278056i | \(-0.910310\pi\) |
0.677066 | + | 0.735922i | \(0.263251\pi\) | |||||||
\(938\) | −2.01610 | + | 2.66975i | −0.0658281 | + | 0.0871705i | ||||
\(939\) | −47.6462 | + | 29.1035i | −1.55487 | + | 0.949757i | ||||
\(940\) | 0.449241 | − | 2.89406i | 0.0146526 | − | 0.0943937i | ||||
\(941\) | −12.1824 | + | 11.8129i | −0.397136 | + | 0.385089i | −0.867544 | − | 0.497360i | \(-0.834303\pi\) |
0.470408 | + | 0.882449i | \(0.344107\pi\) | |||||||
\(942\) | 0.523838 | − | 3.24483i | 0.0170676 | − | 0.105722i | ||||
\(943\) | 3.27957 | + | 106.446i | 0.106798 | + | 3.46636i | ||||
\(944\) | −11.8438 | − | 4.17360i | −0.385483 | − | 0.135839i | ||||
\(945\) | −30.5717 | + | 7.10104i | −0.994499 | + | 0.230997i | ||||
\(946\) | −0.694681 | + | 0.0428464i | −0.0225860 | + | 0.00139306i | ||||
\(947\) | 6.92409 | − | 44.6057i | 0.225003 | − | 1.44949i | −0.559224 | − | 0.829017i | \(-0.688901\pi\) |
0.784226 | − | 0.620475i | \(-0.213060\pi\) | |||||||
\(948\) | −18.7977 | + | 2.21214i | −0.610521 | + | 0.0718469i | ||||
\(949\) | 3.56497 | − | 14.1743i | 0.115724 | − | 0.460117i | ||||
\(950\) | −0.249656 | − | 2.01617i | −0.00809992 | − | 0.0654133i | ||||
\(951\) | −2.92497 | − | 6.46039i | −0.0948485 | − | 0.209492i | ||||
\(952\) | 4.98726 | − | 14.1528i | 0.161638 | − | 0.458695i | ||||
\(953\) | 3.54604 | + | 14.0990i | 0.114868 | + | 0.456711i | 0.999962 | − | 0.00869976i | \(-0.00276925\pi\) |
−0.885095 | + | 0.465411i | \(0.845907\pi\) | |||||||
\(954\) | −3.76209 | − | 0.161547i | −0.121802 | − | 0.00523026i | ||||
\(955\) | −11.8546 | + | 28.0075i | −0.383604 | + | 0.906301i | ||||
\(956\) | 5.21740 | − | 11.3404i | 0.168743 | − | 0.366774i | ||||
\(957\) | 7.46260 | − | 7.14902i | 0.241231 | − | 0.231095i | ||||
\(958\) | 9.03505 | − | 0.278367i | 0.291909 | − | 0.00899362i | ||||
\(959\) | 16.0598 | + | 34.9070i | 0.518597 | + | 1.12720i | ||||
\(960\) | −5.06950 | − | 34.0163i | −0.163617 | − | 1.09787i | ||||
\(961\) | −26.1893 | + | 1.61530i | −0.844816 | + | 0.0521065i | ||||
\(962\) | −1.86942 | + | 2.82124i | −0.0602726 | + | 0.0909605i | ||||
\(963\) | −10.4789 | − | 34.3757i | −0.337677 | − | 1.10774i | ||||
\(964\) | −21.4396 | − | 23.5181i | −0.690522 | − | 0.757467i | ||||
\(965\) | −15.1556 | + | 7.54658i | −0.487875 | + | 0.242933i | ||||
\(966\) | −2.96559 | + | 6.88991i | −0.0954162 | + | 0.221679i | ||||
\(967\) | 1.29739 | + | 5.15840i | 0.0417213 | + | 0.165883i | 0.987104 | − | 0.160079i | \(-0.0511747\pi\) |
−0.945383 | + | 0.325962i | \(0.894312\pi\) | |||||||
\(968\) | −9.46042 | − | 0.876637i | −0.304069 | − | 0.0281762i | ||||
\(969\) | −0.169029 | + | 27.9052i | −0.00543001 | + | 0.896444i | ||||
\(970\) | −1.65416 | − | 5.19975i | −0.0531118 | − | 0.166954i | ||||
\(971\) | 0.452330 | + | 2.91396i | 0.0145160 | + | 0.0935135i | 0.994317 | − | 0.106463i | \(-0.0339526\pi\) |
−0.979801 | + | 0.199977i | \(0.935913\pi\) | |||||||
\(972\) | −25.2092 | + | 16.7229i | −0.808586 | + | 0.536387i | ||||
\(973\) | −20.9447 | − | 36.2772i | −0.671455 | − | 1.16299i | ||||
\(974\) | −8.22811 | −0.263646 | ||||||||
\(975\) | −2.23419 | + | 9.91387i | −0.0715512 | + | 0.317498i | ||||
\(976\) | −11.6587 | + | 10.6283i | −0.373186 | + | 0.340204i | ||||
\(977\) | −2.93816 | − | 47.6371i | −0.0940000 | − | 1.52405i | −0.691616 | − | 0.722265i | \(-0.743101\pi\) |
0.597616 | − | 0.801782i | \(-0.296115\pi\) | |||||||
\(978\) | 1.43597 | − | 0.704208i | 0.0459174 | − | 0.0225181i | ||||
\(979\) | −1.59551 | − | 2.11279i | −0.0509926 | − | 0.0675252i | ||||
\(980\) | 9.51957 | + | 14.3665i | 0.304092 | + | 0.458920i | ||||
\(981\) | −3.41911 | + | 4.14511i | −0.109164 | + | 0.132343i | ||||
\(982\) | 0.0160653 | − | 0.521436i | 0.000512663 | − | 0.0166397i | ||||
\(983\) | 41.2468i | 1.31557i | 0.753207 | + | 0.657784i | \(0.228506\pi\) | ||||
−0.753207 | + | 0.657784i | \(0.771494\pi\) | |||||||
\(984\) | 19.6704 | + | 3.80049i | 0.627071 | + | 0.121155i | ||||
\(985\) | −0.244690 | + | 7.94199i | −0.00779648 | + | 0.253053i | ||||
\(986\) | −3.88444 | + | 10.0269i | −0.123706 | + | 0.319321i | ||||
\(987\) | −1.04605 | − | 1.40278i | −0.0332960 | − | 0.0446509i | ||||
\(988\) | −3.81726 | − | 4.45553i | −0.121443 | − | 0.141749i | ||||
\(989\) | 21.8325 | − | 10.0445i | 0.694233 | − | 0.319398i | ||||
\(990\) | 1.82402 | + | 1.41246i | 0.0579713 | + | 0.0448909i | ||||
\(991\) | 21.4226 | + | 19.5293i | 0.680511 | + | 0.620368i | 0.938296 | − | 0.345834i | \(-0.112404\pi\) |
−0.257784 | + | 0.966203i | \(0.582992\pi\) | |||||||
\(992\) | −2.73180 | − | 5.48620i | −0.0867348 | − | 0.174187i | ||||
\(993\) | −9.38024 | + | 17.2172i | −0.297673 | + | 0.546371i | ||||
\(994\) | 7.40626 | − | 1.14966i | 0.234912 | − | 0.0364651i | ||||
\(995\) | −17.4524 | + | 8.69027i | −0.553279 | + | 0.275500i | ||||
\(996\) | 20.7996 | + | 15.9058i | 0.659059 | + | 0.503996i | ||||
\(997\) | 1.80671 | − | 9.66503i | 0.0572190 | − | 0.306095i | −0.942376 | − | 0.334556i | \(-0.891414\pi\) |
0.999595 | + | 0.0284613i | \(0.00906074\pi\) | |||||||
\(998\) | 2.79408 | + | 1.97789i | 0.0884449 | + | 0.0626089i | ||||
\(999\) | 0.899229 | − | 49.4800i | 0.0284504 | − | 1.56548i |
(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 | 927.2.bg.a.77.56 | ✓ | 3264 | |
9.2 | odd | 6 | 927.2.bm.a.695.56 | yes | 3264 | ||
103.99 | odd | 102 | 927.2.bm.a.923.56 | yes | 3264 | ||
927.614 | even | 102 | inner | 927.2.bg.a.614.56 | yes | 3264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
927.2.bg.a.77.56 | ✓ | 3264 | 1.1 | even | 1 | trivial | |
927.2.bg.a.614.56 | yes | 3264 | 927.614 | even | 102 | inner | |
927.2.bm.a.695.56 | yes | 3264 | 9.2 | odd | 6 | ||
927.2.bm.a.923.56 | yes | 3264 | 103.99 | odd | 102 |