Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 648.11 |
Dual form | 648.2.bb.b.59.13 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32861 | + | 0.484545i | −0.939472 | + | 0.342625i | ||||
\(3\) | −1.07834 | + | 1.35543i | −0.622577 | + | 0.782558i | ||||
\(4\) | 1.53043 | − | 1.28755i | 0.765216 | − | 0.643773i | ||||
\(5\) | 1.48986 | + | 0.174139i | 0.666284 | + | 0.0778774i | 0.442510 | − | 0.896764i | \(-0.354088\pi\) |
0.223774 | + | 0.974641i | \(0.428162\pi\) | |||||||
\(6\) | 0.775925 | − | 2.32335i | 0.316770 | − | 0.948502i | ||||
\(7\) | −0.383526 | − | 0.763663i | −0.144959 | − | 0.288637i | 0.809423 | − | 0.587227i | \(-0.199780\pi\) |
−0.954382 | + | 0.298589i | \(0.903484\pi\) | |||||||
\(8\) | −1.40948 | + | 2.45222i | −0.498327 | + | 0.866989i | ||||
\(9\) | −0.674386 | − | 2.92322i | −0.224795 | − | 0.974406i | ||||
\(10\) | −2.06382 | + | 0.490538i | −0.652638 | + | 0.155122i | ||||
\(11\) | 0.247101 | + | 0.106589i | 0.0745037 | + | 0.0321378i | 0.433006 | − | 0.901391i | \(-0.357453\pi\) |
−0.358502 | + | 0.933529i | \(0.616712\pi\) | |||||||
\(12\) | 0.0948605 | + | 3.46280i | 0.0273839 | + | 0.999625i | ||||
\(13\) | −0.416809 | − | 1.75866i | −0.115602 | − | 0.487764i | −0.999787 | − | 0.0206271i | \(-0.993434\pi\) |
0.884185 | − | 0.467137i | \(-0.154714\pi\) | |||||||
\(14\) | 0.879587 | + | 0.828778i | 0.235079 | + | 0.221500i | ||||
\(15\) | −1.84260 | + | 1.83162i | −0.475757 | + | 0.472921i | ||||
\(16\) | 0.684449 | − | 3.94101i | 0.171112 | − | 0.985252i | ||||
\(17\) | 7.49712 | − | 1.32194i | 1.81832 | − | 0.320619i | 0.842416 | − | 0.538827i | \(-0.181132\pi\) |
0.975902 | + | 0.218208i | \(0.0700213\pi\) | |||||||
\(18\) | 2.31243 | + | 3.55706i | 0.545045 | + | 0.838407i | ||||
\(19\) | 0.656155 | − | 3.72124i | 0.150532 | − | 0.853710i | −0.812225 | − | 0.583344i | \(-0.801744\pi\) |
0.962757 | − | 0.270367i | \(-0.0871449\pi\) | |||||||
\(20\) | 2.50434 | − | 1.65175i | 0.559987 | − | 0.369342i | ||||
\(21\) | 1.44866 | + | 0.303642i | 0.316124 | + | 0.0662600i | ||||
\(22\) | −0.379949 | − | 0.0218842i | −0.0810054 | − | 0.00466572i | ||||
\(23\) | −7.57780 | − | 3.80572i | −1.58008 | − | 0.793547i | −0.580299 | − | 0.814404i | \(-0.697064\pi\) |
−0.999782 | + | 0.0208572i | \(0.993360\pi\) | |||||||
\(24\) | −1.80392 | − | 4.55477i | −0.368223 | − | 0.929738i | ||||
\(25\) | −2.67588 | − | 0.634195i | −0.535176 | − | 0.126839i | ||||
\(26\) | 1.40593 | + | 2.13461i | 0.275725 | + | 0.418632i | ||||
\(27\) | 4.68943 | + | 2.23812i | 0.902482 | + | 0.430727i | ||||
\(28\) | −1.57021 | − | 0.674927i | −0.296742 | − | 0.127549i | ||||
\(29\) | 1.06817 | + | 3.56792i | 0.198353 | + | 0.662546i | 0.998066 | + | 0.0621633i | \(0.0198000\pi\) |
−0.799713 | + | 0.600383i | \(0.795015\pi\) | |||||||
\(30\) | 1.56060 | − | 3.32633i | 0.284926 | − | 0.607302i | ||||
\(31\) | −5.55393 | − | 8.44434i | −0.997515 | − | 1.51665i | −0.849450 | − | 0.527670i | \(-0.823066\pi\) |
−0.148065 | − | 0.988978i | \(-0.547305\pi\) | |||||||
\(32\) | 1.00022 | + | 5.56772i | 0.176816 | + | 0.984244i | ||||
\(33\) | −0.410932 | + | 0.219990i | −0.0715340 | + | 0.0382953i | ||||
\(34\) | −9.32024 | + | 5.38904i | −1.59841 | + | 0.924213i | ||||
\(35\) | −0.438415 | − | 1.20453i | −0.0741056 | − | 0.203603i | ||||
\(36\) | −4.79588 | − | 3.60549i | −0.799314 | − | 0.600914i | ||||
\(37\) | 1.39309 | − | 3.82748i | 0.229022 | − | 0.629234i | −0.770948 | − | 0.636898i | \(-0.780217\pi\) |
0.999971 | + | 0.00766395i | \(0.00243954\pi\) | |||||||
\(38\) | 0.931330 | + | 5.26203i | 0.151082 | + | 0.853613i | ||||
\(39\) | 2.83320 | + | 1.33147i | 0.453675 | + | 0.213205i | ||||
\(40\) | −2.52695 | + | 3.40800i | −0.399546 | + | 0.538852i | ||||
\(41\) | 4.70314 | − | 4.43718i | 0.734507 | − | 0.692972i | −0.225094 | − | 0.974337i | \(-0.572269\pi\) |
0.959601 | + | 0.281366i | \(0.0907873\pi\) | |||||||
\(42\) | −2.07184 | + | 0.298519i | −0.319692 | + | 0.0460624i | ||||
\(43\) | 4.69896 | + | 6.31180i | 0.716585 | + | 0.962540i | 0.999994 | + | 0.00354098i | \(0.00112713\pi\) |
−0.283409 | + | 0.958999i | \(0.591465\pi\) | |||||||
\(44\) | 0.515410 | − | 0.155027i | 0.0777009 | − | 0.0233712i | ||||
\(45\) | −0.495692 | − | 4.47261i | −0.0738933 | − | 0.666737i | ||||
\(46\) | 11.9120 | + | 1.38454i | 1.75633 | + | 0.204140i | ||||
\(47\) | 10.2207 | + | 6.72224i | 1.49084 | + | 0.980539i | 0.993604 | + | 0.112923i | \(0.0360213\pi\) |
0.497234 | + | 0.867616i | \(0.334349\pi\) | |||||||
\(48\) | 4.60370 | + | 5.17745i | 0.664486 | + | 0.747300i | ||||
\(49\) | 3.74402 | − | 5.02909i | 0.534860 | − | 0.718442i | ||||
\(50\) | 3.86251 | − | 0.453982i | 0.546241 | − | 0.0642028i | ||||
\(51\) | −6.29260 | + | 11.5873i | −0.881141 | + | 1.62255i | ||||
\(52\) | −2.90225 | − | 2.15485i | −0.402470 | − | 0.298823i | ||||
\(53\) | −0.712181 | − | 1.23353i | −0.0978256 | − | 0.169439i | 0.812959 | − | 0.582321i | \(-0.197855\pi\) |
−0.910784 | + | 0.412882i | \(0.864522\pi\) | |||||||
\(54\) | −7.31492 | − | 0.701364i | −0.995435 | − | 0.0954436i | ||||
\(55\) | 0.349583 | + | 0.201832i | 0.0471378 | + | 0.0272150i | ||||
\(56\) | 2.41324 | + | 0.135880i | 0.322483 | + | 0.0181578i | ||||
\(57\) | 4.33633 | + | 4.90211i | 0.574360 | + | 0.649301i | ||||
\(58\) | −3.14800 | − | 4.22282i | −0.413352 | − | 0.554483i | ||||
\(59\) | 12.5002 | − | 5.39205i | 1.62738 | − | 0.701985i | 0.630162 | − | 0.776464i | \(-0.282988\pi\) |
0.997223 | + | 0.0744783i | \(0.0237291\pi\) | |||||||
\(60\) | −0.461681 | + | 5.17559i | −0.0596028 | + | 0.668166i | ||||
\(61\) | 8.93579 | + | 0.520450i | 1.14411 | + | 0.0666368i | 0.619707 | − | 0.784833i | \(-0.287251\pi\) |
0.524403 | + | 0.851470i | \(0.324288\pi\) | |||||||
\(62\) | 11.4707 | + | 8.52814i | 1.45678 | + | 1.08307i | ||||
\(63\) | −1.97371 | + | 1.63613i | −0.248664 | + | 0.206133i | ||||
\(64\) | −4.02672 | − | 6.91271i | −0.503341 | − | 0.864088i | ||||
\(65\) | −0.314735 | − | 2.69273i | −0.0390380 | − | 0.333992i | ||||
\(66\) | 0.439375 | − | 0.491396i | 0.0540833 | − | 0.0604867i | ||||
\(67\) | −2.07427 | + | 6.92855i | −0.253413 | + | 0.846457i | 0.732725 | + | 0.680525i | \(0.238248\pi\) |
−0.986137 | + | 0.165932i | \(0.946937\pi\) | |||||||
\(68\) | 9.77177 | − | 11.6760i | 1.18500 | − | 1.41593i | ||||
\(69\) | 13.3298 | − | 6.16735i | 1.60472 | − | 0.742462i | ||||
\(70\) | 1.16613 | + | 1.38793i | 0.139380 | + | 0.165889i | ||||
\(71\) | −8.40109 | + | 7.04936i | −0.997027 | + | 0.836605i | −0.986570 | − | 0.163341i | \(-0.947773\pi\) |
−0.0104568 | + | 0.999945i | \(0.503329\pi\) | |||||||
\(72\) | 8.11890 | + | 2.46648i | 0.956821 | + | 0.290678i | ||||
\(73\) | 1.55470 | + | 1.30455i | 0.181964 | + | 0.152686i | 0.729220 | − | 0.684279i | \(-0.239883\pi\) |
−0.547256 | + | 0.836965i | \(0.684328\pi\) | |||||||
\(74\) | 0.00370731 | + | 5.76026i | 0.000430966 | + | 0.669617i | ||||
\(75\) | 3.74510 | − | 2.94309i | 0.432447 | − | 0.339839i | ||||
\(76\) | −3.78707 | − | 6.53993i | −0.434406 | − | 0.750182i | ||||
\(77\) | −0.0133716 | − | 0.229581i | −0.00152383 | − | 0.0261632i | ||||
\(78\) | −4.40938 | − | 0.396193i | −0.499264 | − | 0.0448600i | ||||
\(79\) | −3.30837 | − | 3.12129i | −0.372221 | − | 0.351172i | 0.477288 | − | 0.878747i | \(-0.341620\pi\) |
−0.849508 | + | 0.527575i | \(0.823101\pi\) | |||||||
\(80\) | 1.70601 | − | 5.75234i | 0.190738 | − | 0.643131i | ||||
\(81\) | −8.09041 | + | 3.94276i | −0.898934 | + | 0.438084i | ||||
\(82\) | −4.09865 | + | 8.17419i | −0.452620 | + | 0.902688i | ||||
\(83\) | 0.0528056 | + | 0.0498195i | 0.00579617 | + | 0.00546840i | 0.689134 | − | 0.724634i | \(-0.257991\pi\) |
−0.683338 | + | 0.730102i | \(0.739472\pi\) | |||||||
\(84\) | 2.60803 | − | 1.40052i | 0.284560 | − | 0.152809i | ||||
\(85\) | 11.3998 | − | 0.663964i | 1.23648 | − | 0.0720170i | ||||
\(86\) | −9.30145 | − | 6.10909i | −1.00300 | − | 0.658760i | ||||
\(87\) | −5.98791 | − | 2.39959i | −0.641971 | − | 0.257263i | ||||
\(88\) | −0.609663 | + | 0.455710i | −0.0649903 | + | 0.0485788i | ||||
\(89\) | −9.65696 | + | 11.5087i | −1.02364 | + | 1.21992i | −0.0483831 | + | 0.998829i | \(0.515407\pi\) |
−0.975253 | + | 0.221093i | \(0.929038\pi\) | |||||||
\(90\) | 2.82576 | + | 5.70219i | 0.297862 | + | 0.601064i | ||||
\(91\) | −1.18316 | + | 0.992792i | −0.124029 | + | 0.104073i | ||||
\(92\) | −16.4974 | + | 3.93238i | −1.71997 | + | 0.409979i | ||||
\(93\) | 17.4347 | + | 1.57786i | 1.80790 | + | 0.163616i | ||||
\(94\) | −16.8366 | − | 3.97889i | −1.73656 | − | 0.410392i | ||||
\(95\) | 1.62559 | − | 5.42984i | 0.166782 | − | 0.557090i | ||||
\(96\) | −8.62524 | − | 4.64814i | −0.880310 | − | 0.474399i | ||||
\(97\) | −1.48870 | + | 0.174005i | −0.151155 | + | 0.0176675i | −0.191334 | − | 0.981525i | \(-0.561281\pi\) |
0.0401789 | + | 0.999193i | \(0.487207\pi\) | |||||||
\(98\) | −2.53754 | + | 8.49587i | −0.256330 | + | 0.858213i | ||||
\(99\) | 0.144941 | − | 0.794212i | 0.0145671 | − | 0.0798213i | ||||
\(100\) | −4.91181 | + | 2.47473i | −0.491181 | + | 0.247473i | ||||
\(101\) | 0.559588 | − | 9.60775i | 0.0556810 | − | 0.956007i | −0.848591 | − | 0.529050i | \(-0.822549\pi\) |
0.904272 | − | 0.426957i | \(-0.140414\pi\) | |||||||
\(102\) | 2.74587 | − | 18.4441i | 0.271881 | − | 1.82624i | ||||
\(103\) | 3.49621 | − | 1.50812i | 0.344492 | − | 0.148599i | −0.216802 | − | 0.976215i | \(-0.569563\pi\) |
0.561295 | + | 0.827616i | \(0.310303\pi\) | |||||||
\(104\) | 4.90009 | + | 1.45669i | 0.480494 | + | 0.142840i | ||||
\(105\) | 2.10542 | + | 0.704651i | 0.205468 | + | 0.0687669i | ||||
\(106\) | 1.54392 | + | 1.29381i | 0.149958 | + | 0.125666i | ||||
\(107\) | 7.05952 | + | 4.07581i | 0.682469 | + | 0.394024i | 0.800785 | − | 0.598952i | \(-0.204416\pi\) |
−0.118315 | + | 0.992976i | \(0.537749\pi\) | |||||||
\(108\) | 10.0586 | − | 2.61256i | 0.967885 | − | 0.251394i | ||||
\(109\) | 8.11974 | − | 4.68794i | 0.777730 | − | 0.449023i | −0.0578951 | − | 0.998323i | \(-0.518439\pi\) |
0.835625 | + | 0.549300i | \(0.185106\pi\) | |||||||
\(110\) | −0.562258 | − | 0.0987682i | −0.0536092 | − | 0.00941718i | ||||
\(111\) | 3.68567 | + | 6.01554i | 0.349828 | + | 0.570970i | ||||
\(112\) | −3.27210 | + | 0.988789i | −0.309185 | + | 0.0934318i | ||||
\(113\) | 5.91918 | + | 4.40667i | 0.556830 | + | 0.414545i | 0.838448 | − | 0.544982i | \(-0.183464\pi\) |
−0.281618 | + | 0.959527i | \(0.590871\pi\) | |||||||
\(114\) | −8.13660 | − | 4.41188i | −0.762062 | − | 0.413210i | ||||
\(115\) | −10.6271 | − | 6.98956i | −0.990983 | − | 0.651780i | ||||
\(116\) | 6.22862 | + | 4.08515i | 0.578313 | + | 0.379297i | ||||
\(117\) | −4.85985 | + | 2.40444i | −0.449293 | + | 0.222290i | ||||
\(118\) | −13.9952 | + | 13.2209i | −1.28837 | + | 1.21708i | ||||
\(119\) | −3.88486 | − | 5.21827i | −0.356124 | − | 0.478358i | ||||
\(120\) | −1.89441 | − | 7.10007i | −0.172935 | − | 0.648145i | ||||
\(121\) | −7.49896 | − | 7.94843i | −0.681724 | − | 0.722585i | ||||
\(122\) | −12.1244 | + | 3.63831i | −1.09769 | + | 0.329397i | ||||
\(123\) | 0.942735 | + | 11.1596i | 0.0850035 | + | 1.00622i | ||||
\(124\) | −19.3724 | − | 5.77255i | −1.73969 | − | 0.518390i | ||||
\(125\) | −10.9239 | − | 3.97598i | −0.977065 | − | 0.355623i | ||||
\(126\) | 1.82952 | − | 3.13014i | 0.162986 | − | 0.278855i | ||||
\(127\) | −3.05297 | − | 8.38796i | −0.270907 | − | 0.744311i | −0.998311 | − | 0.0581013i | \(-0.981495\pi\) |
0.727404 | − | 0.686210i | \(-0.240727\pi\) | |||||||
\(128\) | 8.69948 | + | 7.23319i | 0.768933 | + | 0.639330i | ||||
\(129\) | −13.6223 | − | 0.437119i | −1.19937 | − | 0.0384862i | ||||
\(130\) | 1.72291 | + | 3.42509i | 0.151109 | + | 0.300401i | ||||
\(131\) | −7.16112 | − | 10.8880i | −0.625670 | − | 0.951286i | −0.999715 | − | 0.0238749i | \(-0.992400\pi\) |
0.374045 | − | 0.927411i | \(-0.377971\pi\) | |||||||
\(132\) | −0.345656 | + | 0.865773i | −0.0300855 | + | 0.0753559i | ||||
\(133\) | −3.09342 | + | 0.926110i | −0.268234 | + | 0.0803039i | ||||
\(134\) | −0.601285 | − | 10.2104i | −0.0519431 | − | 0.882048i | ||||
\(135\) | 6.59684 | + | 4.15110i | 0.567765 | + | 0.357270i | ||||
\(136\) | −7.32536 | + | 20.2478i | −0.628144 | + | 1.73624i | ||||
\(137\) | 2.48288 | − | 10.4761i | 0.212127 | − | 0.895033i | −0.757965 | − | 0.652295i | \(-0.773806\pi\) |
0.970092 | − | 0.242738i | \(-0.0780454\pi\) | |||||||
\(138\) | −14.7218 | + | 14.6529i | −1.25320 | + | 1.24734i | ||||
\(139\) | −1.09400 | − | 0.549427i | −0.0927918 | − | 0.0466018i | 0.401798 | − | 0.915728i | \(-0.368385\pi\) |
−0.494590 | + | 0.869127i | \(0.664682\pi\) | |||||||
\(140\) | −2.22186 | − | 1.27898i | −0.187781 | − | 0.108093i | ||||
\(141\) | −20.1328 | + | 6.60458i | −1.69549 | + | 0.556206i | ||||
\(142\) | 7.74609 | − | 13.4366i | 0.650037 | − | 1.12757i | ||||
\(143\) | 0.0844594 | − | 0.478993i | 0.00706285 | − | 0.0400554i | ||||
\(144\) | −11.9820 | + | 0.656966i | −0.998500 | + | 0.0547472i | ||||
\(145\) | 0.970097 | + | 5.50170i | 0.0805622 | + | 0.456891i | ||||
\(146\) | −2.69771 | − | 0.979922i | −0.223264 | − | 0.0810989i | ||||
\(147\) | 2.77928 | + | 10.4978i | 0.229231 | + | 0.865845i | ||||
\(148\) | −2.79603 | − | 7.65137i | −0.229832 | − | 0.628939i | ||||
\(149\) | −5.22279 | + | 1.23782i | −0.427868 | + | 0.101406i | −0.438907 | − | 0.898533i | \(-0.644634\pi\) |
0.0110392 | + | 0.999939i | \(0.496486\pi\) | |||||||
\(150\) | −3.54974 | + | 5.72491i | −0.289835 | + | 0.467437i | ||||
\(151\) | −7.30193 | − | 3.14974i | −0.594223 | − | 0.256323i | 0.0776605 | − | 0.996980i | \(-0.475255\pi\) |
−0.671883 | + | 0.740657i | \(0.734514\pi\) | |||||||
\(152\) | 8.20044 | + | 6.85405i | 0.665144 | + | 0.555937i | ||||
\(153\) | −8.92029 | − | 21.0242i | −0.721162 | − | 1.69971i | ||||
\(154\) | 0.129008 | + | 0.298546i | 0.0103958 | + | 0.0240575i | ||||
\(155\) | −6.80406 | − | 13.5480i | −0.546515 | − | 1.08820i | ||||
\(156\) | 6.05034 | − | 1.61016i | 0.484415 | − | 0.128916i | ||||
\(157\) | −0.935143 | + | 8.00066i | −0.0746326 | + | 0.638522i | 0.903213 | + | 0.429193i | \(0.141202\pi\) |
−0.977845 | + | 0.209329i | \(0.932872\pi\) | |||||||
\(158\) | 5.90795 | + | 2.54393i | 0.470011 | + | 0.202384i | ||||
\(159\) | 2.43994 | + | 0.364851i | 0.193500 | + | 0.0289345i | ||||
\(160\) | 0.520631 | + | 8.46928i | 0.0411595 | + | 0.669556i | ||||
\(161\) | 7.24648i | 0.571102i | ||||||||
\(162\) | 8.83859 | − | 9.15857i | 0.694425 | − | 0.719565i | ||||
\(163\) | 17.2922 | 1.35443 | 0.677215 | − | 0.735785i | \(-0.263187\pi\) | ||||
0.677215 | + | 0.735785i | \(0.263187\pi\) | |||||||
\(164\) | 1.48476 | − | 12.8463i | 0.115940 | − | 1.00313i | ||||
\(165\) | −0.650538 | + | 0.256194i | −0.0506443 | + | 0.0199446i | ||||
\(166\) | −0.0942981 | − | 0.0406043i | −0.00731895 | − | 0.00315150i | ||||
\(167\) | −8.26981 | − | 0.966602i | −0.639937 | − | 0.0747979i | −0.210065 | − | 0.977688i | \(-0.567367\pi\) |
−0.429873 | + | 0.902890i | \(0.641441\pi\) | |||||||
\(168\) | −2.78646 | + | 3.12445i | −0.214980 | + | 0.241057i | ||||
\(169\) | 8.69808 | − | 4.36834i | 0.669083 | − | 0.336026i | ||||
\(170\) | −14.8243 | + | 6.40588i | −1.13697 | + | 0.491308i | ||||
\(171\) | −11.3205 | + | 0.591469i | −0.865700 | + | 0.0452308i | ||||
\(172\) | 15.3182 | + | 3.60965i | 1.16800 | + | 0.275234i | ||||
\(173\) | −0.983011 | + | 2.27888i | −0.0747370 | + | 0.173260i | −0.951489 | − | 0.307683i | \(-0.900446\pi\) |
0.876752 | + | 0.480943i | \(0.159706\pi\) | |||||||
\(174\) | 9.11833 | + | 0.286720i | 0.691259 | + | 0.0217362i | ||||
\(175\) | 0.541958 | + | 2.28670i | 0.0409681 | + | 0.172858i | ||||
\(176\) | 0.589196 | − | 0.900872i | 0.0444123 | − | 0.0679058i | ||||
\(177\) | −6.17083 | + | 22.7576i | −0.463828 | + | 1.71056i | ||||
\(178\) | 7.25389 | − | 19.9699i | 0.543702 | − | 1.49681i | ||||
\(179\) | −11.0896 | + | 1.95540i | −0.828877 | + | 0.146153i | −0.571962 | − | 0.820280i | \(-0.693817\pi\) |
−0.256916 | + | 0.966434i | \(0.582706\pi\) | |||||||
\(180\) | −6.51731 | − | 6.20680i | −0.485772 | − | 0.462628i | ||||
\(181\) | 12.3632 | + | 2.17997i | 0.918952 | + | 0.162036i | 0.613066 | − | 0.790032i | \(-0.289936\pi\) |
0.305887 | + | 0.952068i | \(0.401047\pi\) | |||||||
\(182\) | 1.09092 | − | 1.89233i | 0.0808641 | − | 0.140269i | ||||
\(183\) | −10.3412 | + | 11.5506i | −0.764444 | + | 0.853846i | ||||
\(184\) | 20.0132 | − | 13.2183i | 1.47539 | − | 0.974468i | ||||
\(185\) | 2.74202 | − | 5.45980i | 0.201597 | − | 0.401413i | ||||
\(186\) | −23.9286 | + | 6.35153i | −1.75453 | + | 0.465717i | ||||
\(187\) | 1.99345 | + | 0.472456i | 0.145776 | + | 0.0345494i | ||||
\(188\) | 24.2972 | − | 2.87165i | 1.77206 | − | 0.209436i | ||||
\(189\) | −0.0893469 | − | 4.43952i | −0.00649903 | − | 0.322928i | ||||
\(190\) | 0.471222 | + | 8.00184i | 0.0341860 | + | 0.580515i | ||||
\(191\) | 0.614311 | + | 2.05194i | 0.0444500 | + | 0.148473i | 0.977334 | − | 0.211704i | \(-0.0679013\pi\) |
−0.932884 | + | 0.360177i | \(0.882716\pi\) | |||||||
\(192\) | 13.7119 | + | 1.99627i | 0.989568 | + | 0.144068i | ||||
\(193\) | 0.763699 | − | 0.502293i | 0.0549722 | − | 0.0361558i | −0.521725 | − | 0.853113i | \(-0.674711\pi\) |
0.576698 | + | 0.816958i | \(0.304341\pi\) | |||||||
\(194\) | 1.89360 | − | 0.952528i | 0.135953 | − | 0.0683876i | ||||
\(195\) | 3.98920 | + | 2.47706i | 0.285672 | + | 0.177386i | ||||
\(196\) | −0.745217 | − | 12.5173i | −0.0532298 | − | 0.894092i | ||||
\(197\) | −19.1773 | + | 6.97998i | −1.36633 | + | 0.497303i | −0.918005 | − | 0.396568i | \(-0.870201\pi\) |
−0.448324 | + | 0.893871i | \(0.647979\pi\) | |||||||
\(198\) | 0.192260 | + | 1.12543i | 0.0136633 | + | 0.0799810i | ||||
\(199\) | −0.354564 | + | 0.974157i | −0.0251344 | + | 0.0690561i | −0.951625 | − | 0.307261i | \(-0.900588\pi\) |
0.926491 | + | 0.376317i | \(0.122810\pi\) | |||||||
\(200\) | 5.32679 | − | 5.66795i | 0.376661 | − | 0.400784i | ||||
\(201\) | −7.15441 | − | 10.2828i | −0.504633 | − | 0.725295i | ||||
\(202\) | 3.91191 | + | 13.0361i | 0.275241 | + | 0.917219i | ||||
\(203\) | 2.31502 | − | 2.18411i | 0.162482 | − | 0.153294i | ||||
\(204\) | 5.28881 | + | 25.8356i | 0.370291 | + | 1.80886i | ||||
\(205\) | 7.77969 | − | 5.79176i | 0.543357 | − | 0.404514i | ||||
\(206\) | −3.91437 | + | 3.69778i | −0.272727 | + | 0.257637i | ||||
\(207\) | −6.01457 | + | 24.7181i | −0.418041 | + | 1.71803i | ||||
\(208\) | −7.21616 | + | 0.438937i | −0.500351 | + | 0.0304348i | ||||
\(209\) | 0.558779 | − | 0.849583i | 0.0386516 | − | 0.0587669i | ||||
\(210\) | −3.13873 | + | 0.0839612i | −0.216593 | + | 0.00579387i | ||||
\(211\) | −7.63916 | + | 10.2612i | −0.525901 | + | 0.706408i | −0.983123 | − | 0.182945i | \(-0.941437\pi\) |
0.457222 | + | 0.889353i | \(0.348844\pi\) | |||||||
\(212\) | −2.67818 | − | 0.970874i | −0.183938 | − | 0.0666799i | ||||
\(213\) | −0.495719 | − | 18.9887i | −0.0339661 | − | 1.30108i | ||||
\(214\) | −11.3543 | − | 1.99453i | −0.776163 | − | 0.136344i | ||||
\(215\) | 5.90164 | + | 10.2219i | 0.402488 | + | 0.697130i | ||||
\(216\) | −12.0980 | + | 8.34491i | −0.823167 | + | 0.567799i | ||||
\(217\) | −4.31855 | + | 7.47995i | −0.293162 | + | 0.507772i | ||||
\(218\) | −8.51649 | + | 10.1628i | −0.576810 | + | 0.688314i | ||||
\(219\) | −3.44472 | + | 0.700550i | −0.232773 | + | 0.0473388i | ||||
\(220\) | 0.794882 | − | 0.141214i | 0.0535909 | − | 0.00952067i | ||||
\(221\) | −5.44972 | − | 12.6339i | −0.366588 | − | 0.849846i | ||||
\(222\) | −7.81163 | − | 6.20647i | −0.524282 | − | 0.416551i | ||||
\(223\) | 14.0372 | + | 0.817573i | 0.940000 | + | 0.0547488i | 0.521298 | − | 0.853375i | \(-0.325448\pi\) |
0.418702 | + | 0.908124i | \(0.362485\pi\) | |||||||
\(224\) | 3.86825 | − | 2.89920i | 0.258458 | − | 0.193711i | ||||
\(225\) | −0.0493139 | + | 8.24987i | −0.00328759 | + | 0.549991i | ||||
\(226\) | −9.99954 | − | 2.98665i | −0.665160 | − | 0.198669i | ||||
\(227\) | 1.39314 | + | 11.9191i | 0.0924660 | + | 0.791097i | 0.957311 | + | 0.289059i | \(0.0933423\pi\) |
−0.864845 | + | 0.502038i | \(0.832584\pi\) | |||||||
\(228\) | 12.9482 | + | 1.91914i | 0.857512 | + | 0.127098i | ||||
\(229\) | −1.27462 | − | 0.381597i | −0.0842295 | − | 0.0252167i | 0.244411 | − | 0.969672i | \(-0.421405\pi\) |
−0.328641 | + | 0.944455i | \(0.606591\pi\) | |||||||
\(230\) | 17.5061 | + | 4.13712i | 1.15432 | + | 0.272794i | ||||
\(231\) | 0.325601 | + | 0.229441i | 0.0214230 | + | 0.0150961i | ||||
\(232\) | −10.2549 | − | 2.40955i | −0.673265 | − | 0.158194i | ||||
\(233\) | −12.0741 | − | 14.3894i | −0.791001 | − | 0.942679i | 0.208373 | − | 0.978049i | \(-0.433183\pi\) |
−0.999374 | + | 0.0353707i | \(0.988739\pi\) | |||||||
\(234\) | 5.29181 | − | 5.54939i | 0.345936 | − | 0.362775i | ||||
\(235\) | 14.0567 | + | 11.7950i | 0.916959 | + | 0.769420i | ||||
\(236\) | 12.1882 | − | 24.3467i | 0.793382 | − | 1.58484i | ||||
\(237\) | 7.79822 | − | 1.11847i | 0.506549 | − | 0.0726527i | ||||
\(238\) | 7.68996 | + | 5.05068i | 0.498466 | + | 0.327387i | ||||
\(239\) | −1.04191 | − | 17.8889i | −0.0673956 | − | 1.15714i | −0.847256 | − | 0.531184i | \(-0.821747\pi\) |
0.779861 | − | 0.625953i | \(-0.215290\pi\) | |||||||
\(240\) | 5.95725 | + | 8.51534i | 0.384539 | + | 0.549663i | ||||
\(241\) | 2.13203 | − | 2.25982i | 0.137336 | − | 0.145568i | −0.655055 | − | 0.755581i | \(-0.727354\pi\) |
0.792391 | + | 0.610013i | \(0.208836\pi\) | |||||||
\(242\) | 13.8146 | + | 6.92682i | 0.888036 | + | 0.445273i | ||||
\(243\) | 3.38004 | − | 15.2176i | 0.216829 | − | 0.976210i | ||||
\(244\) | 14.3457 | − | 10.7087i | 0.918391 | − | 0.685556i | ||||
\(245\) | 6.45381 | − | 6.84064i | 0.412319 | − | 0.437033i | ||||
\(246\) | −6.65983 | − | 14.3699i | −0.424615 | − | 0.916194i | ||||
\(247\) | −6.81787 | + | 0.397096i | −0.433811 | + | 0.0252666i | ||||
\(248\) | 28.5355 | − | 1.71729i | 1.81201 | − | 0.109048i | ||||
\(249\) | −0.124469 | + | 0.0178522i | −0.00788791 | + | 0.00113134i | ||||
\(250\) | 16.4402 | − | 0.0105809i | 1.03977 | − | 0.000669197i | ||||
\(251\) | −3.82354 | + | 4.55672i | −0.241340 | + | 0.287618i | −0.873095 | − | 0.487550i | \(-0.837891\pi\) |
0.631755 | + | 0.775168i | \(0.282335\pi\) | |||||||
\(252\) | −0.914030 | + | 5.04523i | −0.0575785 | + | 0.317820i | ||||
\(253\) | −1.46684 | − | 1.74811i | −0.0922191 | − | 0.109902i | ||||
\(254\) | 8.12056 | + | 9.66507i | 0.509529 | + | 0.606440i | ||||
\(255\) | −11.3929 | + | 16.1677i | −0.713450 | + | 1.01246i | ||||
\(256\) | −15.0631 | − | 5.39484i | −0.941441 | − | 0.337177i | ||||
\(257\) | −3.14711 | − | 0.942184i | −0.196312 | − | 0.0587718i | 0.187138 | − | 0.982334i | \(-0.440079\pi\) |
−0.383450 | + | 0.923562i | \(0.625264\pi\) | |||||||
\(258\) | 18.3105 | − | 6.01983i | 1.13996 | − | 0.374778i | ||||
\(259\) | −3.45719 | + | 0.404087i | −0.214819 | + | 0.0251088i | ||||
\(260\) | −3.94869 | − | 3.71580i | −0.244888 | − | 0.230444i | ||||
\(261\) | 9.70945 | − | 5.52864i | 0.601000 | − | 0.342214i | ||||
\(262\) | 14.7901 | + | 10.9960i | 0.913734 | + | 0.679336i | ||||
\(263\) | 0.279565 | − | 4.79995i | 0.0172387 | − | 0.295977i | −0.978659 | − | 0.205491i | \(-0.934121\pi\) |
0.995898 | − | 0.0904863i | \(-0.0288421\pi\) | |||||||
\(264\) | 0.0397384 | − | 1.31776i | 0.00244573 | − | 0.0811028i | ||||
\(265\) | −0.846240 | − | 1.96181i | −0.0519841 | − | 0.120513i | ||||
\(266\) | 3.66122 | − | 2.72934i | 0.224484 | − | 0.167347i | ||||
\(267\) | −5.18583 | − | 25.4996i | −0.317368 | − | 1.56055i | ||||
\(268\) | 5.74629 | + | 13.2744i | 0.351011 | + | 0.810863i | ||||
\(269\) | −13.0807 | + | 22.6565i | −0.797547 | + | 1.38139i | 0.123663 | + | 0.992324i | \(0.460536\pi\) |
−0.921210 | + | 0.389067i | \(0.872798\pi\) | |||||||
\(270\) | −10.7760 | − | 2.31875i | −0.655809 | − | 0.141114i | ||||
\(271\) | −10.5740 | + | 6.10492i | −0.642327 | + | 0.370848i | −0.785510 | − | 0.618849i | \(-0.787599\pi\) |
0.143183 | + | 0.989696i | \(0.454266\pi\) | |||||||
\(272\) | −0.0783933 | − | 30.4510i | −0.00475329 | − | 1.84636i | ||||
\(273\) | −0.0698143 | − | 2.67426i | −0.00422535 | − | 0.161854i | ||||
\(274\) | 1.77734 | + | 15.1217i | 0.107373 | + | 0.913538i | ||||
\(275\) | −0.593614 | − | 0.441929i | −0.0357963 | − | 0.0266493i | ||||
\(276\) | 12.4596 | − | 26.6014i | 0.749980 | − | 1.60122i | ||||
\(277\) | −17.5715 | + | 26.7162i | −1.05577 | + | 1.60522i | −0.295810 | + | 0.955247i | \(0.595590\pi\) |
−0.759958 | + | 0.649972i | \(0.774781\pi\) | |||||||
\(278\) | 1.71973 | + | 0.199885i | 0.103142 | + | 0.0119883i | ||||
\(279\) | −20.9391 | + | 21.9301i | −1.25359 | + | 1.31292i | ||||
\(280\) | 3.57171 | + | 0.622681i | 0.213451 | + | 0.0372123i | ||||
\(281\) | −10.4582 | + | 7.78586i | −0.623885 | + | 0.464465i | −0.862094 | − | 0.506749i | \(-0.830847\pi\) |
0.238209 | + | 0.971214i | \(0.423440\pi\) | |||||||
\(282\) | 23.5486 | − | 18.5302i | 1.40230 | − | 1.10346i | ||||
\(283\) | −11.1800 | − | 11.8501i | −0.664582 | − | 0.704416i | 0.304123 | − | 0.952633i | \(-0.401637\pi\) |
−0.968704 | + | 0.248217i | \(0.920155\pi\) | |||||||
\(284\) | −3.78094 | + | 21.6054i | −0.224358 | + | 1.28204i | ||||
\(285\) | 5.60685 | + | 8.05857i | 0.332121 | + | 0.477348i | ||||
\(286\) | 0.119880 | + | 0.677322i | 0.00708863 | + | 0.0400509i | ||||
\(287\) | −5.19229 | − | 1.88984i | −0.306491 | − | 0.111554i | ||||
\(288\) | 15.6011 | − | 6.67867i | 0.919306 | − | 0.393544i | ||||
\(289\) | 38.4845 | − | 14.0072i | 2.26379 | − | 0.823953i | ||||
\(290\) | −3.95470 | − | 6.83958i | −0.232228 | − | 0.401634i | ||||
\(291\) | 1.36947 | − | 2.20547i | 0.0802798 | − | 0.129287i | ||||
\(292\) | 4.05904 | − | 0.00522480i | 0.237537 | − | 0.000305758i | ||||
\(293\) | −22.6455 | + | 14.8942i | −1.32296 | + | 0.870127i | −0.997160 | − | 0.0753101i | \(-0.976005\pi\) |
−0.325804 | + | 0.945437i | \(0.605635\pi\) | |||||||
\(294\) | −8.77925 | − | 12.6009i | −0.512016 | − | 0.734897i | ||||
\(295\) | 19.5624 | − | 5.85661i | 1.13897 | − | 0.340985i | ||||
\(296\) | 7.42227 | + | 8.81092i | 0.431411 | + | 0.512124i | ||||
\(297\) | 0.920204 | + | 1.05288i | 0.0533957 | + | 0.0610946i | ||||
\(298\) | 6.33929 | − | 4.17527i | 0.367225 | − | 0.241867i | ||||
\(299\) | −3.53445 | + | 14.9130i | −0.204403 | + | 0.862442i | ||||
\(300\) | 1.94226 | − | 9.32620i | 0.112136 | − | 0.538448i | ||||
\(301\) | 3.01791 | − | 6.00916i | 0.173950 | − | 0.346362i | ||||
\(302\) | 11.2276 | + | 0.646685i | 0.646078 | + | 0.0372126i | ||||
\(303\) | 12.4192 | + | 11.1189i | 0.713465 | + | 0.638762i | ||||
\(304\) | −14.2163 | − | 5.13291i | −0.815362 | − | 0.294392i | ||||
\(305\) | 13.2224 | + | 2.33147i | 0.757112 | + | 0.133499i | ||||
\(306\) | 22.0388 | + | 23.6108i | 1.25987 | + | 1.34974i | ||||
\(307\) | −1.34810 | − | 7.64548i | −0.0769404 | − | 0.436350i | −0.998807 | − | 0.0488420i | \(-0.984447\pi\) |
0.921866 | − | 0.387508i | \(-0.126664\pi\) | |||||||
\(308\) | −0.316061 | − | 0.334142i | −0.0180092 | − | 0.0190395i | ||||
\(309\) | −1.72594 | + | 6.36513i | −0.0981852 | + | 0.362100i | ||||
\(310\) | 15.6046 | + | 14.7032i | 0.886281 | + | 0.835085i | ||||
\(311\) | 26.6105 | − | 6.30680i | 1.50894 | − | 0.357626i | 0.608836 | − | 0.793296i | \(-0.291637\pi\) |
0.900106 | + | 0.435670i | \(0.143489\pi\) | |||||||
\(312\) | −7.25838 | + | 5.07094i | −0.410925 | + | 0.287085i | ||||
\(313\) | −2.69046 | + | 6.23719i | −0.152074 | + | 0.352547i | −0.977174 | − | 0.212439i | \(-0.931859\pi\) |
0.825100 | + | 0.564986i | \(0.191118\pi\) | |||||||
\(314\) | −2.63423 | − | 11.0829i | −0.148658 | − | 0.625445i | ||||
\(315\) | −3.22545 | + | 2.09390i | −0.181734 | + | 0.117978i | ||||
\(316\) | −9.08204 | − | 0.517239i | −0.510905 | − | 0.0290970i | ||||
\(317\) | 3.94460 | − | 1.98105i | 0.221551 | − | 0.111267i | −0.334562 | − | 0.942374i | \(-0.608588\pi\) |
0.556113 | + | 0.831107i | \(0.312292\pi\) | |||||||
\(318\) | −3.41853 | + | 0.697514i | −0.191701 | + | 0.0391146i | ||||
\(319\) | −0.116356 | + | 0.995491i | −0.00651470 | + | 0.0557368i | ||||
\(320\) | −4.79546 | − | 11.0001i | −0.268075 | − | 0.614927i | ||||
\(321\) | −13.1370 | + | 5.17359i | −0.733236 | + | 0.288762i | ||||
\(322\) | −3.51124 | − | 9.62777i | −0.195674 | − | 0.536535i | ||||
\(323\) | − | 28.7660i | − | 1.60058i | ||||||
\(324\) | −7.30534 | + | 16.4509i | −0.405852 | + | 0.913939i | ||||
\(325\) | 4.97029i | 0.275702i | ||||||||
\(326\) | −22.9747 | + | 8.37885i | −1.27245 | + | 0.464062i | ||||
\(327\) | −2.40163 | + | 16.0609i | −0.132810 | + | 0.888171i | ||||
\(328\) | 4.25194 | + | 17.7872i | 0.234774 | + | 0.982136i | ||||
\(329\) | 1.21363 | − | 10.3833i | 0.0669098 | − | 0.572450i | ||||
\(330\) | 0.740176 | − | 0.655597i | 0.0407454 | − | 0.0360894i | ||||
\(331\) | 17.5369 | − | 8.80737i | 0.963916 | − | 0.484097i | 0.104025 | − | 0.994575i | \(-0.466828\pi\) |
0.859891 | + | 0.510478i | \(0.170531\pi\) | |||||||
\(332\) | 0.144960 | + | 0.00825577i | 0.00795574 | + | 0.000453094i | ||||
\(333\) | −12.1280 | − | 1.49110i | −0.664612 | − | 0.0817119i | ||||
\(334\) | 11.4558 | − | 2.72285i | 0.626831 | − | 0.148988i | ||||
\(335\) | −4.29690 | + | 9.96133i | −0.234765 | + | 0.544245i | ||||
\(336\) | 2.18819 | − | 5.50136i | 0.119375 | − | 0.300124i | ||||
\(337\) | 1.13116 | − | 0.268089i | 0.0616180 | − | 0.0146037i | −0.199691 | − | 0.979859i | \(-0.563994\pi\) |
0.261309 | + | 0.965255i | \(0.415846\pi\) | |||||||
\(338\) | −9.43974 | + | 10.0184i | −0.513454 | + | 0.544932i | ||||
\(339\) | −12.3558 | + | 3.27118i | −0.671075 | + | 0.177666i | ||||
\(340\) | 16.5918 | − | 15.6940i | 0.899816 | − | 0.851124i | ||||
\(341\) | −0.472308 | − | 2.67859i | −0.0255769 | − | 0.145054i | ||||
\(342\) | 14.7540 | − | 6.27112i | 0.797804 | − | 0.339103i | ||||
\(343\) | −11.1675 | − | 1.96913i | −0.602988 | − | 0.106323i | ||||
\(344\) | −22.1010 | + | 2.62650i | −1.19161 | + | 0.141611i | ||||
\(345\) | 20.9334 | − | 6.86722i | 1.12702 | − | 0.369719i | ||||
\(346\) | 0.201826 | − | 3.50406i | 0.0108502 | − | 0.188379i | ||||
\(347\) | 9.83882 | − | 19.5907i | 0.528176 | − | 1.05168i | −0.458456 | − | 0.888717i | \(-0.651597\pi\) |
0.986631 | − | 0.162967i | \(-0.0521065\pi\) | |||||||
\(348\) | −12.2537 | + | 4.03730i | −0.656866 | + | 0.216422i | ||||
\(349\) | 1.26136 | − | 5.32209i | 0.0675189 | − | 0.284885i | −0.928803 | − | 0.370574i | \(-0.879161\pi\) |
0.996322 | + | 0.0856892i | \(0.0273092\pi\) | |||||||
\(350\) | −1.82806 | − | 2.77554i | −0.0977140 | − | 0.148359i | ||||
\(351\) | 1.98149 | − | 9.17998i | 0.105764 | − | 0.489991i | ||||
\(352\) | −0.346301 | + | 1.48240i | −0.0184579 | + | 0.0790123i | ||||
\(353\) | −13.7653 | + | 4.12105i | −0.732652 | + | 0.219342i | −0.631332 | − | 0.775512i | \(-0.717492\pi\) |
−0.101320 | + | 0.994854i | \(0.532306\pi\) | |||||||
\(354\) | −2.82841 | − | 33.2261i | −0.150328 | − | 1.76595i | ||||
\(355\) | −13.7440 | + | 9.03956i | −0.729455 | + | 0.479770i | ||||
\(356\) | 0.0386767 | + | 30.0471i | 0.00204986 | + | 1.59249i | ||||
\(357\) | 11.2622 | + | 0.361387i | 0.596058 | + | 0.0191266i | ||||
\(358\) | 13.7864 | − | 7.97139i | 0.728631 | − | 0.421301i | ||||
\(359\) | 33.9220 | − | 12.3466i | 1.79033 | − | 0.651629i | 0.791134 | − | 0.611642i | \(-0.209491\pi\) |
0.999200 | − | 0.0399863i | \(-0.0127314\pi\) | |||||||
\(360\) | 11.6665 | + | 5.08852i | 0.614877 | + | 0.268188i | ||||
\(361\) | 4.43709 | + | 1.61497i | 0.233531 | + | 0.0849983i | ||||
\(362\) | −17.4823 | + | 3.09420i | −0.918848 | + | 0.162628i | ||||
\(363\) | 18.8599 | − | 1.59325i | 0.989890 | − | 0.0836238i | ||||
\(364\) | −0.532487 | + | 3.04278i | −0.0279099 | + | 0.159485i | ||||
\(365\) | 2.08911 | + | 2.21433i | 0.109349 | + | 0.115903i | ||||
\(366\) | 8.14268 | − | 20.3571i | 0.425625 | − | 1.06408i | ||||
\(367\) | 14.9177 | − | 11.1059i | 0.778700 | − | 0.579721i | −0.132741 | − | 0.991151i | \(-0.542378\pi\) |
0.911441 | + | 0.411430i | \(0.134971\pi\) | |||||||
\(368\) | −20.1850 | + | 27.2593i | −1.05221 | + | 1.42099i | ||||
\(369\) | −16.1426 | − | 10.7559i | −0.840349 | − | 0.559931i | ||||
\(370\) | −0.997563 | + | 8.58260i | −0.0518608 | + | 0.446188i | ||||
\(371\) | −0.668864 | + | 1.01696i | −0.0347257 | + | 0.0527978i | ||||
\(372\) | 28.7142 | − | 20.0332i | 1.48876 | − | 1.03867i | ||||
\(373\) | 18.5422 | + | 13.8041i | 0.960077 | + | 0.714751i | 0.958454 | − | 0.285248i | \(-0.0920759\pi\) |
0.00162322 | + | 0.999999i | \(0.499483\pi\) | |||||||
\(374\) | −2.87745 | + | 0.338203i | −0.148790 | + | 0.0174881i | ||||
\(375\) | 17.1688 | − | 10.5192i | 0.886594 | − | 0.543208i | ||||
\(376\) | −30.8902 | + | 15.5884i | −1.59304 | + | 0.803911i | ||||
\(377\) | 5.82953 | − | 3.36568i | 0.300236 | − | 0.173341i | ||||
\(378\) | 2.26986 | + | 5.85512i | 0.116749 | + | 0.301155i | ||||
\(379\) | −18.0828 | + | 31.3203i | −0.928849 | + | 1.60881i | −0.143599 | + | 0.989636i | \(0.545867\pi\) |
−0.785251 | + | 0.619178i | \(0.787466\pi\) | |||||||
\(380\) | −4.50332 | − | 10.4030i | −0.231016 | − | 0.533664i | ||||
\(381\) | 14.6614 | + | 4.90695i | 0.751128 | + | 0.251390i | ||||
\(382\) | −1.81044 | − | 2.42858i | −0.0926301 | − | 0.124257i | ||||
\(383\) | 10.2919 | + | 23.8593i | 0.525891 | + | 1.21915i | 0.949631 | + | 0.313369i | \(0.101458\pi\) |
−0.423740 | + | 0.905784i | \(0.639283\pi\) | |||||||
\(384\) | −19.1850 | + | 3.99174i | −0.979033 | + | 0.203702i | ||||
\(385\) | 0.0200574 | − | 0.344372i | 0.00102222 | − | 0.0175508i | ||||
\(386\) | −0.771278 | + | 1.03740i | −0.0392570 | + | 0.0528022i | ||||
\(387\) | 15.2818 | − | 17.9927i | 0.776820 | − | 0.914619i | ||||
\(388\) | −2.05432 | + | 2.18308i | −0.104292 | + | 0.110829i | ||||
\(389\) | 8.86419 | − | 1.03608i | 0.449432 | − | 0.0525311i | 0.111633 | − | 0.993749i | \(-0.464392\pi\) |
0.337799 | + | 0.941218i | \(0.390318\pi\) | |||||||
\(390\) | −6.50035 | − | 1.35812i | −0.329158 | − | 0.0687709i | ||||
\(391\) | −61.8426 | − | 18.5145i | −3.12752 | − | 0.936317i | ||||
\(392\) | 7.05529 | + | 16.2696i | 0.356346 | + | 0.821737i | ||||
\(393\) | 22.4800 | + | 2.03446i | 1.13396 | + | 0.102625i | ||||
\(394\) | 22.0972 | − | 18.5660i | 1.11324 | − | 0.935341i | ||||
\(395\) | −4.38545 | − | 5.22638i | −0.220656 | − | 0.262968i | ||||
\(396\) | −0.800762 | − | 1.40211i | −0.0402398 | − | 0.0704585i | ||||
\(397\) | 15.1899 | − | 18.1027i | 0.762361 | − | 0.908547i | −0.235634 | − | 0.971842i | \(-0.575717\pi\) |
0.997995 | + | 0.0632954i | \(0.0201610\pi\) | |||||||
\(398\) | −0.000943570 | − | 1.46608i | −4.72969e−5 | − | 0.0734880i | ||||
\(399\) | 2.08047 | − | 5.19158i | 0.104154 | − | 0.259904i | ||||
\(400\) | −4.33087 | + | 10.1116i | −0.216543 | + | 0.505579i | ||||
\(401\) | 2.54320 | − | 0.148124i | 0.127001 | − | 0.00739698i | 0.00547351 | − | 0.999985i | \(-0.498258\pi\) |
0.121528 | + | 0.992588i | \(0.461221\pi\) | |||||||
\(402\) | 14.4879 | + | 10.1953i | 0.722593 | + | 0.508495i | ||||
\(403\) | −12.5358 | + | 13.2871i | −0.624451 | + | 0.661879i | ||||
\(404\) | −11.5140 | − | 15.4245i | −0.572843 | − | 0.767398i | ||||
\(405\) | −12.7401 | + | 4.46528i | −0.633062 | + | 0.221882i | ||||
\(406\) | −2.01747 | + | 4.02357i | −0.100125 | + | 0.199686i | ||||
\(407\) | 0.752201 | − | 0.797286i | 0.0372852 | − | 0.0395200i | ||||
\(408\) | −19.5453 | − | 31.7629i | −0.967637 | − | 1.57250i | ||||
\(409\) | −0.221776 | − | 3.80774i | −0.0109661 | − | 0.188281i | −0.999343 | − | 0.0362546i | \(-0.988457\pi\) |
0.988376 | − | 0.152026i | \(-0.0485798\pi\) | |||||||
\(410\) | −7.52984 | + | 11.4646i | −0.371872 | + | 0.566197i | ||||
\(411\) | 11.5222 | + | 14.6621i | 0.568350 | + | 0.723228i | ||||
\(412\) | 3.40895 | − | 6.80961i | 0.167947 | − | 0.335485i | ||||
\(413\) | −8.91185 | − | 7.47793i | −0.438523 | − | 0.367965i | ||||
\(414\) | −3.98598 | − | 35.7551i | −0.195900 | − | 1.75727i | ||||
\(415\) | 0.0699972 | + | 0.0834194i | 0.00343603 | + | 0.00409490i | ||||
\(416\) | 9.37482 | − | 4.07973i | 0.459638 | − | 0.200025i | ||||
\(417\) | 1.92441 | − | 0.890374i | 0.0942387 | − | 0.0436018i | ||||
\(418\) | −0.330741 | + | 1.39952i | −0.0161771 | + | 0.0684528i | ||||
\(419\) | 17.3819 | + | 5.20380i | 0.849161 | + | 0.254222i | 0.681678 | − | 0.731653i | \(-0.261251\pi\) |
0.167484 | + | 0.985875i | \(0.446436\pi\) | |||||||
\(420\) | 4.12948 | − | 1.63241i | 0.201498 | − | 0.0796532i | ||||
\(421\) | 1.45900 | + | 12.4826i | 0.0711075 | + | 0.608364i | 0.981067 | + | 0.193667i | \(0.0620382\pi\) |
−0.909960 | + | 0.414697i | \(0.863888\pi\) | |||||||
\(422\) | 5.17750 | − | 17.3347i | 0.252037 | − | 0.843838i | ||||
\(423\) | 12.7579 | − | 34.4106i | 0.620310 | − | 1.67310i | ||||
\(424\) | 4.02870 | − | 0.00777862i | 0.195651 | − | 0.000377763i | ||||
\(425\) | −20.8998 | − | 1.21727i | −1.01379 | − | 0.0590464i | ||||
\(426\) | 9.85948 | + | 24.9884i | 0.477693 | + | 1.21069i | ||||
\(427\) | −3.02966 | − | 7.02353i | −0.146615 | − | 0.339893i | ||||
\(428\) | 16.0519 | − | 2.85170i | 0.775899 | − | 0.137842i | ||||
\(429\) | 0.558167 | + | 0.630994i | 0.0269485 | + | 0.0304647i | ||||
\(430\) | −12.7940 | − | 10.7214i | −0.616981 | − | 0.517032i | ||||
\(431\) | −3.34200 | + | 5.78852i | −0.160979 | + | 0.278823i | −0.935220 | − | 0.354067i | \(-0.884798\pi\) |
0.774241 | + | 0.632891i | \(0.218132\pi\) | |||||||
\(432\) | 12.0301 | − | 16.9492i | 0.578801 | − | 0.815469i | ||||
\(433\) | 9.12909 | + | 15.8120i | 0.438716 | + | 0.759878i | 0.997591 | − | 0.0693737i | \(-0.0221001\pi\) |
−0.558875 | + | 0.829252i | \(0.688767\pi\) | |||||||
\(434\) | 2.11332 | − | 12.0305i | 0.101443 | − | 0.577482i | ||||
\(435\) | −8.50326 | − | 4.61777i | −0.407700 | − | 0.221405i | ||||
\(436\) | 6.39079 | − | 17.6291i | 0.306063 | − | 0.844281i | ||||
\(437\) | −19.1342 | + | 25.7017i | −0.915312 | + | 1.22948i | ||||
\(438\) | 4.23726 | − | 2.59988i | 0.202464 | − | 0.124227i | ||||
\(439\) | 1.38828 | − | 2.11077i | 0.0662589 | − | 0.100742i | −0.800839 | − | 0.598880i | \(-0.795613\pi\) |
0.867097 | + | 0.498139i | \(0.165983\pi\) | |||||||
\(440\) | −0.987667 | + | 0.572775i | −0.0470852 | + | 0.0273060i | ||||
\(441\) | −17.2261 | − | 7.55304i | −0.820288 | − | 0.359669i | ||||
\(442\) | 13.3622 | + | 14.1449i | 0.635577 | + | 0.672804i | ||||
\(443\) | −2.58105 | + | 1.92152i | −0.122629 | + | 0.0912941i | −0.656726 | − | 0.754129i | \(-0.728059\pi\) |
0.534097 | + | 0.845423i | \(0.320652\pi\) | |||||||
\(444\) | 13.3860 | + | 4.46091i | 0.635269 | + | 0.211706i | ||||
\(445\) | −16.3916 | + | 15.4647i | −0.777036 | + | 0.733096i | ||||
\(446\) | −19.0462 | + | 5.71541i | −0.901862 | + | 0.270632i | ||||
\(447\) | 3.95413 | − | 8.41392i | 0.187024 | − | 0.397965i | ||||
\(448\) | −3.73462 | + | 5.72626i | −0.176444 | + | 0.270540i | ||||
\(449\) | −9.37200 | + | 25.7494i | −0.442292 | + | 1.21519i | 0.495688 | + | 0.868500i | \(0.334916\pi\) |
−0.937981 | + | 0.346688i | \(0.887306\pi\) | |||||||
\(450\) | −3.93191 | − | 10.9848i | −0.185352 | − | 0.517828i | ||||
\(451\) | 1.63510 | − | 0.595129i | 0.0769941 | − | 0.0280236i | ||||
\(452\) | 14.7327 | − | 0.877112i | 0.692968 | − | 0.0412559i | ||||
\(453\) | 12.1432 | − | 6.50078i | 0.570537 | − | 0.305433i | ||||
\(454\) | −7.62627 | − | 15.1608i | −0.357919 | − | 0.711533i | ||||
\(455\) | −1.93563 | + | 1.27308i | −0.0907436 | + | 0.0596830i | ||||
\(456\) | −18.1330 | + | 3.72417i | −0.849156 | + | 0.174400i | ||||
\(457\) | −1.23554 | − | 4.12698i | −0.0577959 | − | 0.193052i | 0.924216 | − | 0.381870i | \(-0.124720\pi\) |
−0.982012 | + | 0.188818i | \(0.939534\pi\) | |||||||
\(458\) | 1.87839 | − | 0.110617i | 0.0877712 | − | 0.00516877i | ||||
\(459\) | 38.1159 | + | 10.5803i | 1.77910 | + | 0.493847i | ||||
\(460\) | −25.2635 | + | 2.98584i | −1.17791 | + | 0.139216i | ||||
\(461\) | 1.35457 | + | 0.321040i | 0.0630887 | + | 0.0149523i | 0.262039 | − | 0.965057i | \(-0.415605\pi\) |
−0.198950 | + | 0.980010i | \(0.563753\pi\) | |||||||
\(462\) | −0.543773 | − | 0.147071i | −0.0252986 | − | 0.00684236i | ||||
\(463\) | 4.80233 | − | 9.56222i | 0.223183 | − | 0.444394i | −0.753976 | − | 0.656901i | \(-0.771867\pi\) |
0.977159 | + | 0.212508i | \(0.0681630\pi\) | |||||||
\(464\) | 14.7923 | − | 1.76759i | 0.686715 | − | 0.0820581i | ||||
\(465\) | 25.7004 | + | 5.38685i | 1.19183 | + | 0.249809i | ||||
\(466\) | 23.0141 | + | 13.2675i | 1.06611 | + | 0.614604i | ||||
\(467\) | −29.2337 | − | 5.15469i | −1.35278 | − | 0.238531i | −0.550176 | − | 0.835049i | \(-0.685439\pi\) |
−0.802600 | + | 0.596518i | \(0.796550\pi\) | |||||||
\(468\) | −4.34184 | + | 9.93711i | −0.200702 | + | 0.459343i | ||||
\(469\) | 6.08661 | − | 1.07323i | 0.281054 | − | 0.0495573i | ||||
\(470\) | −24.3912 | − | 8.85988i | −1.12508 | − | 0.408676i | ||||
\(471\) | −9.83595 | − | 9.89492i | −0.453217 | − | 0.455934i | ||||
\(472\) | −4.39630 | + | 38.2531i | −0.202356 | + | 1.76074i | ||||
\(473\) | 0.488349 | + | 2.06051i | 0.0224543 | + | 0.0947423i | ||||
\(474\) | −9.81888 | + | 5.26461i | −0.450996 | + | 0.241811i | ||||
\(475\) | −4.11578 | + | 9.54145i | −0.188845 | + | 0.437792i | ||||
\(476\) | −12.6643 | − | 2.98428i | −0.580466 | − | 0.136784i | ||||
\(477\) | −3.12560 | + | 2.91374i | −0.143112 | + | 0.133411i | ||||
\(478\) | 10.0523 | + | 23.2626i | 0.459780 | + | 1.06401i | ||||
\(479\) | 13.6680 | − | 6.86433i | 0.624507 | − | 0.313639i | −0.108256 | − | 0.994123i | \(-0.534527\pi\) |
0.732763 | + | 0.680484i | \(0.238230\pi\) | |||||||
\(480\) | −12.0409 | − | 8.42705i | −0.549591 | − | 0.384640i | ||||
\(481\) | −7.31188 | − | 0.854636i | −0.333393 | − | 0.0389680i | ||||
\(482\) | −1.73767 | + | 4.03550i | −0.0791485 | + | 0.183812i | ||||
\(483\) | −9.82210 | − | 7.81413i | −0.446921 | − | 0.355555i | ||||
\(484\) | −21.7106 | − | 2.50929i | −0.986847 | − | 0.114058i | ||||
\(485\) | −2.24825 | −0.102088 | ||||||||
\(486\) | 2.88284 | + | 21.8561i | 0.130768 | + | 0.991413i | ||||
\(487\) | − | 6.35602i | − | 0.288019i | −0.989576 | − | 0.144009i | \(-0.954000\pi\) | ||
0.989576 | − | 0.144009i | \(-0.0459995\pi\) | |||||||
\(488\) | −13.8711 | + | 21.1789i | −0.627914 | + | 0.958724i | ||||
\(489\) | −18.6468 | + | 23.4384i | −0.843238 | + | 1.05992i | ||||
\(490\) | −5.26003 | + | 12.2157i | −0.237624 | + | 0.551851i | ||||
\(491\) | −1.08034 | + | 9.24291i | −0.0487551 | + | 0.417127i | 0.946717 | + | 0.322068i | \(0.104378\pi\) |
−0.995472 | + | 0.0950587i | \(0.969696\pi\) | |||||||
\(492\) | 15.8112 | + | 15.8651i | 0.712825 | + | 0.715255i | ||||
\(493\) | 12.7248 | + | 25.3371i | 0.573094 | + | 1.14112i | ||||
\(494\) | 8.86591 | − | 3.83115i | 0.398896 | − | 0.172372i | ||||
\(495\) | 0.354245 | − | 1.15802i | 0.0159221 | − | 0.0520492i | ||||
\(496\) | −37.0806 | + | 16.1083i | −1.66497 | + | 0.723286i | ||||
\(497\) | 8.60537 | + | 3.71199i | 0.386003 | + | 0.166506i | ||||
\(498\) | 0.156721 | − | 0.0840296i | 0.00702285 | − | 0.00376545i | ||||
\(499\) | −0.940143 | + | 0.222818i | −0.0420866 | + | 0.00997471i | −0.251605 | − | 0.967830i | \(-0.580958\pi\) |
0.209519 | + | 0.977805i | \(0.432810\pi\) | |||||||
\(500\) | −21.8376 | + | 7.98008i | −0.976607 | + | 0.356880i | ||||
\(501\) | 10.2278 | − | 10.1668i | 0.456944 | − | 0.454221i | ||||
\(502\) | 2.87208 | − | 7.90681i | 0.128187 | − | 0.352898i | ||||
\(503\) | 5.55476 | + | 31.5026i | 0.247674 | + | 1.40463i | 0.814199 | + | 0.580586i | \(0.197177\pi\) |
−0.566524 | + | 0.824045i | \(0.691712\pi\) | |||||||
\(504\) | −1.23025 | − | 7.14606i | −0.0547996 | − | 0.318311i | ||||
\(505\) | 2.50679 | − | 14.2167i | 0.111551 | − | 0.632635i | ||||
\(506\) | 2.79589 | + | 1.61181i | 0.124293 | + | 0.0716538i | ||||
\(507\) | −3.45846 | + | 16.5002i | −0.153596 | + | 0.732799i | ||||
\(508\) | −15.4722 | − | 8.90637i | −0.686470 | − | 0.395156i | ||||
\(509\) | 2.83762 | + | 1.42511i | 0.125775 | + | 0.0631668i | 0.510574 | − | 0.859834i | \(-0.329433\pi\) |
−0.384799 | + | 0.923000i | \(0.625729\pi\) | |||||||
\(510\) | 7.30279 | − | 27.0009i | 0.323373 | − | 1.19562i | ||||
\(511\) | 0.399968 | − | 1.68760i | 0.0176935 | − | 0.0746549i | ||||
\(512\) | 22.6270 | − | 0.131066i | 0.999983 | − | 0.00579237i | ||||
\(513\) | 11.4056 | − | 15.9819i | 0.503569 | − | 0.705620i | ||||
\(514\) | 4.63783 | − | 0.273118i | 0.204566 | − | 0.0120467i | ||||
\(515\) | 5.47147 | − | 1.63805i | 0.241102 | − | 0.0721812i | ||||
\(516\) | −21.4108 | + | 16.8703i | −0.942556 | + | 0.742674i | ||||
\(517\) | 1.80902 | + | 2.75048i | 0.0795606 | + | 0.120966i | ||||
\(518\) | 4.39747 | − | 2.21204i | 0.193214 | − | 0.0971914i | ||||
\(519\) | −2.02884 | − | 3.78980i | −0.0890564 | − | 0.166354i | ||||
\(520\) | 7.04676 | + | 3.02355i | 0.309021 | + | 0.132592i | ||||
\(521\) | 10.6031 | + | 29.1318i | 0.464530 | + | 1.27629i | 0.922045 | + | 0.387084i | \(0.126518\pi\) |
−0.457515 | + | 0.889202i | \(0.651260\pi\) | |||||||
\(522\) | −10.2212 | + | 12.0501i | −0.447372 | + | 0.527418i | ||||
\(523\) | 32.7620 | + | 11.9244i | 1.43258 | + | 0.521417i | 0.937670 | − | 0.347527i | \(-0.112979\pi\) |
0.494911 | + | 0.868944i | \(0.335201\pi\) | |||||||
\(524\) | −24.9784 | − | 7.44301i | −1.09119 | − | 0.325150i | ||||
\(525\) | −3.68388 | − | 1.73124i | −0.160777 | − | 0.0755576i | ||||
\(526\) | 1.95435 | + | 6.51274i | 0.0852139 | + | 0.283969i | ||||
\(527\) | −52.8014 | − | 55.9662i | −2.30007 | − | 2.43793i | ||||
\(528\) | 0.585719 | + | 1.77006i | 0.0254901 | + | 0.0770318i | ||||
\(529\) | 29.2050 | + | 39.2291i | 1.26978 | + | 1.70561i | ||||
\(530\) | 2.07491 | + | 2.19644i | 0.0901283 | + | 0.0954074i | ||||
\(531\) | −24.1921 | − | 32.9044i | −1.04985 | − | 1.42793i | ||||
\(532\) | −3.54187 | + | 5.40027i | −0.153559 | + | 0.234132i | ||||
\(533\) | −9.76380 | − | 6.42175i | −0.422917 | − | 0.278157i | ||||
\(534\) | 19.2457 | + | 31.3664i | 0.832842 | + | 1.35736i | ||||
\(535\) | 9.80790 | + | 7.30171i | 0.424033 | + | 0.315681i | ||||
\(536\) | −14.0667 | − | 14.8522i | −0.607587 | − | 0.641518i | ||||
\(537\) | 9.30792 | − | 17.1398i | 0.401666 | − | 0.739637i | ||||
\(538\) | 6.40117 | − | 36.4400i | 0.275974 | − | 1.57104i | ||||
\(539\) | 1.46120 | − | 0.843623i | 0.0629382 | − | 0.0363374i | ||||
\(540\) | 15.4407 | − | 2.14076i | 0.664464 | − | 0.0921235i | ||||
\(541\) | −24.1044 | − | 13.9167i | −1.03633 | − | 0.598324i | −0.117537 | − | 0.993069i | \(-0.537500\pi\) |
−0.918791 | + | 0.394744i | \(0.870833\pi\) | |||||||
\(542\) | 11.0907 | − | 13.2347i | 0.476387 | − | 0.568478i | ||||
\(543\) | −16.2865 | + | 14.4068i | −0.698921 | + | 0.618254i | ||||
\(544\) | 14.8590 | + | 40.4197i | 0.637075 | + | 1.73298i | ||||
\(545\) | 12.9136 | − | 5.57038i | 0.553158 | − | 0.238609i | ||||
\(546\) | 1.38855 | + | 3.51923i | 0.0594247 | + | 0.150609i | ||||
\(547\) | 0.919805 | − | 15.7924i | 0.0393280 | − | 0.675236i | −0.919822 | − | 0.392337i | \(-0.871667\pi\) |
0.959150 | − | 0.282899i | \(-0.0912962\pi\) | |||||||
\(548\) | −9.68857 | − | 19.2298i | −0.413875 | − | 0.821455i | ||||
\(549\) | −4.50478 | − | 26.4722i | −0.192259 | − | 1.12981i | ||||
\(550\) | 1.00282 | + | 0.299521i | 0.0427603 | + | 0.0127716i | ||||
\(551\) | 13.9780 | − | 1.63379i | 0.595481 | − | 0.0696018i | ||||
\(552\) | −3.66442 | + | 41.3803i | −0.155968 | + | 1.76126i | ||||
\(553\) | −1.11476 | + | 3.72357i | −0.0474046 | + | 0.158342i | ||||
\(554\) | 10.4006 | − | 44.0096i | 0.441878 | − | 1.86979i | ||||
\(555\) | 4.44357 | + | 9.60411i | 0.188619 | + | 0.407672i | ||||
\(556\) | −2.38171 | + | 0.567713i | −0.101007 | + | 0.0240764i | ||||
\(557\) | −24.4836 | + | 20.5442i | −1.03741 | + | 0.870486i | −0.991713 | − | 0.128469i | \(-0.958994\pi\) |
−0.0456917 | + | 0.998956i | \(0.514549\pi\) | |||||||
\(558\) | 17.1939 | − | 39.2826i | 0.727878 | − | 1.66296i | ||||
\(559\) | 9.14172 | − | 10.8947i | 0.386653 | − | 0.460796i | ||||
\(560\) | −5.04715 | + | 0.903352i | −0.213281 | + | 0.0381736i | ||||
\(561\) | −2.78999 | + | 2.19252i | −0.117793 | + | 0.0925682i | ||||
\(562\) | 10.1224 | − | 15.4119i | 0.426986 | − | 0.650111i | ||||
\(563\) | −26.5173 | + | 1.54445i | −1.11757 | + | 0.0650910i | −0.606968 | − | 0.794727i | \(-0.707614\pi\) |
−0.510601 | + | 0.859818i | \(0.670577\pi\) | |||||||
\(564\) | −22.3083 | + | 36.0298i | −0.939347 | + | 1.51713i | ||||
\(565\) | 8.05135 | + | 7.59606i | 0.338723 | + | 0.319569i | ||||
\(566\) | 20.5958 | + | 10.3270i | 0.865707 | + | 0.434077i | ||||
\(567\) | 6.11382 | + | 4.66619i | 0.256756 | + | 0.195962i | ||||
\(568\) | −5.44535 | − | 30.5372i | −0.228482 | − | 1.28131i | ||||
\(569\) | 8.99936 | + | 8.49046i | 0.377273 | + | 0.355939i | 0.851399 | − | 0.524518i | \(-0.175755\pi\) |
−0.474126 | + | 0.880457i | \(0.657236\pi\) | |||||||
\(570\) | −11.3541 | − | 7.98996i | −0.475570 | − | 0.334663i | ||||
\(571\) | 1.35427 | + | 23.2519i | 0.0566743 | + | 0.973061i | 0.900064 | + | 0.435758i | \(0.143520\pi\) |
−0.843390 | + | 0.537303i | \(0.819443\pi\) | |||||||
\(572\) | −0.487466 | − | 0.841812i | −0.0203820 | − | 0.0351979i | ||||
\(573\) | −3.44370 | − | 1.38002i | −0.143862 | − | 0.0576513i | ||||
\(574\) | 7.81426 | − | 0.00502926i | 0.326161 | − | 0.000209917i | ||||
\(575\) | 17.8637 | + | 14.9894i | 0.744969 | + | 0.625103i | ||||
\(576\) | −17.4918 | + | 16.4328i | −0.728824 | + | 0.684701i | ||||
\(577\) | −26.4713 | + | 22.2121i | −1.10201 | + | 0.924700i | −0.997559 | − | 0.0698295i | \(-0.977754\pi\) |
−0.104456 | + | 0.994530i | \(0.533310\pi\) | |||||||
\(578\) | −44.3439 | + | 37.2576i | −1.84446 | + | 1.54971i | ||||
\(579\) | −0.142700 | + | 1.57678i | −0.00593042 | + | 0.0655288i | ||||
\(580\) | 8.56836 | + | 7.17093i | 0.355782 | + | 0.297757i | ||||
\(581\) | 0.0177930 | − | 0.0594328i | 0.000738178 | − | 0.00246569i | ||||
\(582\) | −0.750849 | + | 3.59379i | −0.0311237 | + | 0.148967i | ||||
\(583\) | −0.0444996 | − | 0.380718i | −0.00184298 | − | 0.0157677i | ||||
\(584\) | −5.39036 | + | 1.97373i | −0.223055 | + | 0.0816734i | ||||
\(585\) | −7.65918 | + | 2.73598i | −0.316668 | + | 0.113119i | ||||
\(586\) | 22.8702 | − | 30.7614i | 0.944761 | − | 1.27074i | ||||
\(587\) | −11.4614 | − | 0.667551i | −0.473063 | − | 0.0275528i | −0.180042 | − | 0.983659i | \(-0.557623\pi\) |
−0.293021 | + | 0.956106i | \(0.594660\pi\) | |||||||
\(588\) | 17.7699 | + | 12.4877i | 0.732819 | + | 0.514986i | ||||
\(589\) | −35.0676 | + | 15.1267i | −1.44494 | + | 0.623285i | ||||
\(590\) | −23.1531 | + | 17.2600i | −0.953200 | + | 0.710585i | ||||
\(591\) | 11.2187 | − | 33.5203i | 0.461477 | − | 1.37884i | ||||
\(592\) | −14.1306 | − | 8.10989i | −0.580765 | − | 0.333314i | ||||
\(593\) | −19.7463 | − | 11.4005i | −0.810882 | − | 0.468163i | 0.0363801 | − | 0.999338i | \(-0.488417\pi\) |
−0.847262 | + | 0.531175i | \(0.821751\pi\) | |||||||
\(594\) | −1.73277 | − | 0.952998i | −0.0710963 | − | 0.0391020i | ||||
\(595\) | −4.87917 | − | 8.45098i | −0.200027 | − | 0.346456i | ||||
\(596\) | −6.39937 | + | 8.61899i | −0.262129 | + | 0.353048i | ||||
\(597\) | −0.938063 | − | 1.53105i | −0.0383924 | − | 0.0626619i | ||||
\(598\) | −2.53010 | − | 21.5262i | −0.103464 | − | 0.880274i | ||||
\(599\) | 23.6997 | − | 31.8342i | 0.968342 | − | 1.30071i | 0.0146596 | − | 0.999893i | \(-0.495334\pi\) |
0.953682 | − | 0.300816i | \(-0.0972590\pi\) | |||||||
\(600\) | 1.93845 | + | 13.3320i | 0.0791369 | + | 0.544278i | ||||
\(601\) | −29.2481 | − | 19.2368i | −1.19306 | − | 0.784685i | −0.211785 | − | 0.977316i | \(-0.567928\pi\) |
−0.981271 | + | 0.192631i | \(0.938298\pi\) | |||||||
\(602\) | −1.09794 | + | 9.44617i | −0.0447485 | + | 0.384997i | ||||
\(603\) | 21.6525 | + | 1.39103i | 0.881759 | + | 0.0566471i | ||||
\(604\) | −15.2306 | + | 4.58110i | −0.619722 | + | 0.186402i | ||||
\(605\) | −9.78823 | − | 13.1479i | −0.397948 | − | 0.534537i | ||||
\(606\) | −21.8879 | − | 8.75501i | −0.889136 | − | 0.355648i | ||||
\(607\) | −7.96580 | + | 7.51534i | −0.323322 | + | 0.305038i | −0.830739 | − | 0.556662i | \(-0.812082\pi\) |
0.507417 | + | 0.861700i | \(0.330600\pi\) | |||||||
\(608\) | 21.3751 | − | 0.0687854i | 0.866876 | − | 0.00278962i | ||||
\(609\) | 0.464041 | + | 5.49305i | 0.0188039 | + | 0.222590i | ||||
\(610\) | −18.6972 | + | 3.30922i | −0.757026 | + | 0.133987i | ||||
\(611\) | 7.56204 | − | 20.7765i | 0.305928 | − | 0.840529i | ||||
\(612\) | −40.7215 | − | 20.6909i | −1.64607 | − | 0.836379i | ||||
\(613\) | −16.1406 | − | 44.3459i | −0.651912 | − | 1.79111i | −0.610563 | − | 0.791968i | \(-0.709057\pi\) |
−0.0413490 | − | 0.999145i | \(-0.513166\pi\) | |||||||
\(614\) | 5.49569 | + | 9.50468i | 0.221788 | + | 0.383577i | ||||
\(615\) | −0.538776 | + | 16.7903i | −0.0217256 | + | 0.677050i | ||||
\(616\) | 0.581830 | + | 0.290801i | 0.0234426 | + | 0.0117167i | ||||
\(617\) | 8.58042 | + | 13.0459i | 0.345435 | + | 0.525208i | 0.965862 | − | 0.259056i | \(-0.0834114\pi\) |
−0.620428 | + | 0.784264i | \(0.713041\pi\) | |||||||
\(618\) | −0.791085 | − | 9.29310i | −0.0318221 | − | 0.373823i | ||||
\(619\) | 0.0990876 | + | 0.330976i | 0.00398267 | + | 0.0133030i | 0.959958 | − | 0.280145i | \(-0.0903825\pi\) |
−0.955975 | + | 0.293448i | \(0.905197\pi\) | |||||||
\(620\) | −27.8568 | − | 11.9738i | −1.11876 | − | 0.480878i | ||||
\(621\) | −27.0179 | − | 34.8067i | −1.08419 | − | 1.39675i | ||||
\(622\) | −32.2992 | + | 21.2733i | −1.29508 | + | 0.852981i | ||||
\(623\) | 12.4925 | + | 2.96077i | 0.500500 | + | 0.118621i | ||||
\(624\) | 7.18649 | − | 10.2543i | 0.287690 | − | 0.410502i | ||||
\(625\) | −3.29521 | − | 1.65492i | −0.131809 | − | 0.0661968i | ||||
\(626\) | 0.552388 | − | 9.59046i | 0.0220779 | − | 0.383312i | ||||
\(627\) | 0.548999 | + | 1.67352i | 0.0219249 | + | 0.0668340i | ||||
\(628\) | 8.87005 | + | 13.4485i | 0.353953 | + | 0.536654i | ||||
\(629\) | 5.38444 | − | 30.5367i | 0.214692 | − | 1.21758i | ||||
\(630\) | 3.27080 | − | 4.34487i | 0.130312 | − | 0.173104i | ||||
\(631\) | 6.78139 | − | 1.19574i | 0.269963 | − | 0.0476017i | −0.0370279 | − | 0.999314i | \(-0.511789\pi\) |
0.306991 | + | 0.951713i | \(0.400678\pi\) | |||||||
\(632\) | 12.3172 | − | 3.71344i | 0.489950 | − | 0.147713i | ||||
\(633\) | −5.67073 | − | 21.4193i | −0.225391 | − | 0.851342i | ||||
\(634\) | −4.28095 | + | 4.54339i | −0.170018 | + | 0.180441i | ||||
\(635\) | −3.08781 | − | 13.0285i | −0.122536 | − | 0.517020i | ||||
\(636\) | 4.20393 | − | 2.58316i | 0.166697 | − | 0.102429i | ||||
\(637\) | −10.4050 | − | 4.48828i | −0.412261 | − | 0.177832i | ||||
\(638\) | −0.327767 | − | 1.37900i | −0.0129764 | − | 0.0545953i | ||||
\(639\) | 26.2724 | + | 19.8042i | 1.03932 | + | 0.783444i | ||||
\(640\) | 11.7014 | + | 12.2913i | 0.462538 | + | 0.485858i | ||||
\(641\) | −13.0669 | − | 26.0184i | −0.516113 | − | 1.02766i | −0.989189 | − | 0.146643i | \(-0.953153\pi\) |
0.473077 | − | 0.881021i | \(-0.343143\pi\) | |||||||
\(642\) | 14.9472 | − | 13.2392i | 0.589918 | − | 0.522509i | ||||
\(643\) | −46.8608 | − | 5.47724i | −1.84801 | − | 0.216001i | −0.881420 | − | 0.472333i | \(-0.843412\pi\) |
−0.966589 | + | 0.256332i | \(0.917486\pi\) | |||||||
\(644\) | 9.33017 | + | 11.0902i | 0.367660 | + | 0.437017i | ||||
\(645\) | −20.2191 | − | 3.02341i | −0.796125 | − | 0.119047i | ||||
\(646\) | 13.9384 | + | 38.2189i | 0.548399 | + | 1.50370i | ||||
\(647\) | 7.94585 | 0.312383 | 0.156192 | − | 0.987727i | \(-0.450078\pi\) | ||||
0.156192 | + | 0.987727i | \(0.450078\pi\) | |||||||
\(648\) | 1.73479 | − | 25.3967i | 0.0681489 | − | 0.997675i | ||||
\(649\) | 3.66354 | 0.143806 | ||||||||
\(650\) | −2.40833 | − | 6.60360i | −0.0944624 | − | 0.259015i | ||||
\(651\) | −5.48171 | − | 13.9194i | −0.214845 | − | 0.545544i | ||||
\(652\) | 26.4646 | − | 22.2645i | 1.03643 | − | 0.871946i | ||||
\(653\) | 35.2737 | + | 4.12290i | 1.38037 | + | 0.161342i | 0.773668 | − | 0.633591i | \(-0.218420\pi\) |
0.606697 | + | 0.794933i | \(0.292494\pi\) | |||||||
\(654\) | −4.59139 | − | 22.5025i | −0.179538 | − | 0.879916i | ||||
\(655\) | −8.77302 | − | 17.4685i | −0.342790 | − | 0.682552i | ||||
\(656\) | −14.2679 | − | 21.5721i | −0.557068 | − | 0.842250i | ||||
\(657\) | 2.76502 | − | 5.42451i | 0.107874 | − | 0.211630i | ||||
\(658\) | 3.41872 | + | 14.3835i | 0.133276 | + | 0.560726i | ||||
\(659\) | −4.15780 | − | 1.79350i | −0.161965 | − | 0.0698649i | 0.313554 | − | 0.949570i | \(-0.398480\pi\) |
−0.475519 | + | 0.879706i | \(0.657740\pi\) | |||||||
\(660\) | −0.665743 | + | 1.22968i | −0.0259140 | + | 0.0478654i | ||||
\(661\) | 5.45963 | + | 23.0360i | 0.212355 | + | 0.895997i | 0.969956 | + | 0.243279i | \(0.0782231\pi\) |
−0.757601 | + | 0.652718i | \(0.773629\pi\) | |||||||
\(662\) | −19.0322 | + | 20.1990i | −0.739709 | + | 0.785057i | ||||
\(663\) | 23.0010 | + | 6.23683i | 0.893283 | + | 0.242218i | ||||
\(664\) | −0.196597 | + | 0.0592711i | −0.00762944 | + | 0.00230016i | ||||
\(665\) | −4.77002 | + | 0.841084i | −0.184974 | + | 0.0326158i | ||||
\(666\) | 16.8360 | − | 3.89548i | 0.652381 | − | 0.150947i | ||||
\(667\) | 5.48415 | − | 31.1021i | 0.212347 | − | 1.20428i | ||||
\(668\) | −13.9009 | + | 9.16844i | −0.537843 | + | 0.354738i | ||||
\(669\) | −16.2450 | + | 18.1448i | −0.628067 | + | 0.701520i | ||||
\(670\) | 0.882211 | − | 15.3168i | 0.0340828 | − | 0.591740i | ||||
\(671\) | 2.15257 | + | 1.08106i | 0.0830989 | + | 0.0417338i | ||||
\(672\) | −0.241606 | + | 8.36946i | −0.00932015 | + | 0.322859i | ||||
\(673\) | −4.81426 | − | 1.14100i | −0.185576 | − | 0.0439823i | 0.136777 | − | 0.990602i | \(-0.456326\pi\) |
−0.322353 | + | 0.946620i | \(0.604474\pi\) | |||||||
\(674\) | −1.37297 | + | 0.904283i | −0.0528848 | + | 0.0348317i | ||||
\(675\) | −11.1290 | − | 8.96297i | −0.428354 | − | 0.344985i | ||||
\(676\) | 7.68739 | − | 17.8846i | 0.295669 | − | 0.687870i | ||||
\(677\) | 3.20776 | + | 10.7147i | 0.123284 | + | 0.411798i | 0.997243 | − | 0.0742018i | \(-0.0236409\pi\) |
−0.873959 | + | 0.485999i | \(0.838456\pi\) | |||||||
\(678\) | 14.8311 | − | 10.3331i | 0.569583 | − | 0.396839i | ||||
\(679\) | 0.703837 | + | 1.07013i | 0.0270108 | + | 0.0410679i | ||||
\(680\) | −14.4397 | + | 28.8907i | −0.553736 | + | 1.10791i | ||||
\(681\) | −17.6578 | − | 10.9645i | −0.676647 | − | 0.420159i | ||||
\(682\) | 1.92541 | + | 3.32996i | 0.0737278 | + | 0.127511i | ||||
\(683\) | 11.7798 | + | 32.3649i | 0.450743 | + | 1.23841i | 0.932202 | + | 0.361938i | \(0.117885\pi\) |
−0.481459 | + | 0.876469i | \(0.659893\pi\) | |||||||
\(684\) | −16.5637 | + | 15.4809i | −0.633329 | + | 0.591925i | ||||
\(685\) | 5.52343 | − | 15.1755i | 0.211039 | − | 0.579826i | ||||
\(686\) | 15.7914 | − | 2.79494i | 0.602920 | − | 0.106711i | ||||
\(687\) | 1.89170 | − | 1.31618i | 0.0721729 | − | 0.0502152i | ||||
\(688\) | 28.0910 | − | 14.1985i | 1.07096 | − | 0.541314i | ||||
\(689\) | −1.87252 | + | 1.76663i | −0.0713373 | + | 0.0673033i | ||||
\(690\) | −24.4850 | + | 19.2671i | −0.932128 | + | 0.733485i | ||||
\(691\) | −16.6308 | − | 22.3390i | −0.632664 | − | 0.849815i | 0.364003 | − | 0.931398i | \(-0.381410\pi\) |
−0.996667 | + | 0.0815831i | \(0.974002\pi\) | |||||||
\(692\) | 1.42973 | + | 4.75334i | 0.0543500 | + | 0.180695i | ||||
\(693\) | −0.662099 | + | 0.193915i | −0.0251511 | + | 0.00736621i | ||||
\(694\) | −3.57943 | + | 30.7959i | −0.135873 | + | 1.16899i | ||||
\(695\) | −1.53422 | − | 1.00908i | −0.0581964 | − | 0.0382764i | ||||
\(696\) | 14.3242 | − | 11.3015i | 0.542956 | − | 0.428381i | ||||
\(697\) | 29.3943 | − | 39.4834i | 1.11339 | − | 1.49554i | ||||
\(698\) | 0.902931 | + | 7.68218i | 0.0341764 | + | 0.290775i | ||||
\(699\) | 32.5237 | − | 0.849065i | 1.23016 | − | 0.0321146i | ||||
\(700\) | 3.77366 | + | 2.80184i | 0.142631 | + | 0.105900i | ||||
\(701\) | 21.8687 | + | 37.8776i | 0.825968 | + | 1.43062i | 0.901177 | + | 0.433451i | \(0.142704\pi\) |
−0.0752095 | + | 0.997168i | \(0.523963\pi\) | |||||||
\(702\) | 1.81547 | + | 13.1568i | 0.0685205 | + | 0.496571i | ||||
\(703\) | −13.3289 | − | 7.69543i | −0.502708 | − | 0.290239i | ||||
\(704\) | −0.258189 | − | 2.13734i | −0.00973088 | − | 0.0805540i | ||||
\(705\) | −31.1451 | + | 6.33396i | −1.17299 | + | 0.238551i | ||||
\(706\) | 16.2919 | − | 12.1452i | 0.613154 | − | 0.457090i | ||||
\(707\) | −7.55169 | + | 3.25748i | −0.284011 | + | 0.122510i | ||||
\(708\) | 19.8574 | + | 42.7742i | 0.746286 | + | 1.60755i | ||||
\(709\) | 26.5555 | + | 1.54668i | 0.997312 | + | 0.0580868i | 0.549028 | − | 0.835804i | \(-0.314998\pi\) |
0.448285 | + | 0.893891i | \(0.352035\pi\) | |||||||
\(710\) | 13.8804 | − | 18.6697i | 0.520922 | − | 0.700660i | ||||
\(711\) | −6.89308 | + | 11.7760i | −0.258511 | + | 0.441636i | ||||
\(712\) | −14.6106 | − | 39.9023i | −0.547554 | − | 1.49540i | ||||
\(713\) | 9.94982 | + | 85.1262i | 0.372624 | + | 3.18800i | ||||
\(714\) | −15.1382 | + | 4.97689i | −0.566533 | + | 0.186255i | ||||
\(715\) | 0.209244 | − | 0.698923i | 0.00782527 | − | 0.0261382i | ||||
\(716\) | −14.4543 | + | 17.2710i | −0.540181 | + | 0.645448i | ||||
\(717\) | 25.3707 | + | 17.8780i | 0.947487 | + | 0.667666i | ||||
\(718\) | −39.0868 | + | 32.8406i | −1.45871 | + | 1.22560i | ||||
\(719\) | 38.0956 | − | 31.9660i | 1.42073 | − | 1.19213i | 0.469778 | − | 0.882784i | \(-0.344334\pi\) |
0.950949 | − | 0.309347i | \(-0.100111\pi\) | |||||||
\(720\) | −17.9659 | − | 1.10775i | −0.669548 | − | 0.0412834i | ||||
\(721\) | −2.49258 | − | 2.09152i | −0.0928286 | − | 0.0778924i | ||||
\(722\) | −6.67770 | + | 0.00429777i | −0.248518 | + | 0.000159947i | ||||
\(723\) | 0.763988 | + | 5.32667i | 0.0284130 | + | 0.198101i | ||||
\(724\) | 21.7279 | − | 12.5819i | 0.807512 | − | 0.467604i | ||||
\(725\) | −0.595524 | − | 10.2247i | −0.0221172 | − | 0.379738i | ||||
\(726\) | −24.2856 | + | 11.2553i | −0.901323 | + | 0.417723i | ||||
\(727\) | 13.0436 | + | 12.3060i | 0.483759 | + | 0.456403i | 0.889067 | − | 0.457777i | \(-0.151354\pi\) |
−0.405308 | + | 0.914180i | \(0.632836\pi\) | |||||||
\(728\) | −0.766893 | − | 4.30070i | −0.0284230 | − | 0.159394i | ||||
\(729\) | 16.9816 | + | 20.9911i | 0.628948 | + | 0.777447i | ||||
\(730\) | −3.84856 | − | 1.92972i | −0.142442 | − | 0.0714221i | ||||
\(731\) | 43.5725 | + | 41.1085i | 1.61159 | + | 1.52045i | ||||
\(732\) | −0.954563 | + | 30.9922i | −0.0352817 | + | 1.14551i | ||||
\(733\) | −5.04858 | + | 0.294046i | −0.186474 | + | 0.0108609i | −0.151128 | − | 0.988514i | \(-0.548290\pi\) |
−0.0353461 | + | 0.999375i | \(0.511253\pi\) | |||||||
\(734\) | −14.4387 | + | 21.9837i | −0.532940 | + | 0.811434i | ||||
\(735\) | 2.31264 | + | 16.1242i | 0.0853032 | + | 0.594750i | ||||
\(736\) | 13.6097 | − | 45.9977i | 0.501659 | − | 1.69550i | ||||
\(737\) | −1.25106 | + | 1.49096i | −0.0460834 | + | 0.0549201i | ||||
\(738\) | 26.6590 | + | 6.46867i | 0.981331 | + | 0.238115i | ||||
\(739\) | 14.9980 | − | 12.5848i | 0.551710 | − | 0.462940i | −0.323810 | − | 0.946122i | \(-0.604964\pi\) |
0.875520 | + | 0.483183i | \(0.160519\pi\) | |||||||
\(740\) | −2.83328 | − | 11.8863i | −0.104153 | − | 0.436950i | ||||
\(741\) | 6.81372 | − | 9.66936i | 0.250308 | − | 0.355213i | ||||
\(742\) | 0.395901 | − | 1.67524i | 0.0145340 | − | 0.0615000i | ||||
\(743\) | −3.03084 | + | 10.1237i | −0.111191 | + | 0.371403i | −0.995414 | − | 0.0956616i | \(-0.969503\pi\) |
0.884223 | + | 0.467065i | \(0.154689\pi\) | |||||||
\(744\) | −28.4432 | + | 40.5297i | −1.04278 | + | 1.48589i | ||||
\(745\) | −7.99676 | + | 0.934687i | −0.292978 | + | 0.0342443i | ||||
\(746\) | −31.3241 | − | 9.35586i | −1.14686 | − | 0.342542i | ||||
\(747\) | 0.110022 | − | 0.187960i | 0.00402549 | − | 0.00687710i | ||||
\(748\) | 3.65915 | − | 1.84360i | 0.133792 | − | 0.0674086i | ||||
\(749\) | 0.405040 | − | 6.95427i | 0.0147998 | − | 0.254103i | ||||
\(750\) | −17.7137 | + | 22.2950i | −0.646814 | + | 0.814098i | ||||
\(751\) | −22.1235 | + | 9.54313i | −0.807297 | + | 0.348234i | −0.759405 | − | 0.650619i | \(-0.774510\pi\) |
−0.0478921 | + | 0.998853i | \(0.515250\pi\) | |||||||
\(752\) | 33.4879 | − | 35.6787i | 1.22118 | − | 1.30107i | ||||
\(753\) | −2.05326 | − | 10.0962i | −0.0748250 | − | 0.367927i | ||||
\(754\) | −6.11437 | + | 7.29636i | −0.222672 | + | 0.265718i | ||||
\(755\) | −10.3303 | − | 5.96422i | −0.375959 | − | 0.217060i | ||||
\(756\) | −5.85283 | − | 6.67936i | −0.212865 | − | 0.242926i | ||||
\(757\) | −38.1102 | + | 22.0029i | −1.38514 | + | 0.799710i | −0.992762 | − | 0.120095i | \(-0.961680\pi\) |
−0.392376 | + | 0.919805i | \(0.628347\pi\) | |||||||
\(758\) | 8.84895 | − | 50.3745i | 0.321408 | − | 1.82968i | ||||
\(759\) | 3.95118 | − | 0.103149i | 0.143419 | − | 0.00374409i | ||||
\(760\) | 11.0239 | + | 11.6396i | 0.399879 | + | 0.422211i | ||||
\(761\) | 29.3649 | + | 21.8613i | 1.06448 | + | 0.792473i | 0.978998 | − | 0.203868i | \(-0.0653512\pi\) |
0.0854769 | + | 0.996340i | \(0.472759\pi\) | |||||||
\(762\) | −21.8570 | + | 0.584677i | −0.791796 | + | 0.0211806i | ||||
\(763\) | −6.69413 | − | 4.40280i | −0.242344 | − | 0.159392i | ||||
\(764\) | 3.58213 | + | 2.34940i | 0.129597 | + | 0.0849984i | ||||
\(765\) | −9.62880 | − | 32.8764i | −0.348130 | − | 1.18865i | ||||
\(766\) | −25.2348 | − | 26.7129i | −0.911772 | − | 0.965177i | ||||
\(767\) | −14.6930 | − | 19.7361i | −0.530532 | − | 0.712628i | ||||
\(768\) | 23.5554 | − | 14.5995i | 0.849981 | − | 0.526814i | ||||
\(769\) | 11.0647 | + | 11.7279i | 0.399003 | + | 0.422919i | 0.895460 | − | 0.445143i | \(-0.146847\pi\) |
−0.496456 | + | 0.868062i | \(0.665366\pi\) | |||||||
\(770\) | 0.140215 | + | 0.467256i | 0.00505300 | + | 0.0168387i | ||||
\(771\) | 4.67071 | − | 3.24971i | 0.168212 | − | 0.117035i | ||||
\(772\) | 0.522065 | − | 1.75202i | 0.0187895 | − | 0.0630567i | ||||
\(773\) | −29.2307 | − | 10.6391i | −1.05135 | − | 0.382661i | −0.242180 | − | 0.970231i | \(-0.577863\pi\) |
−0.809173 | + | 0.587570i | \(0.800085\pi\) | |||||||
\(774\) | −11.5854 | + | 31.3101i | −0.416430 | + | 1.12542i | ||||
\(775\) | 9.50628 | + | 26.1183i | 0.341476 | + | 0.938197i | ||||
\(776\) | 1.67160 | − | 3.89588i | 0.0600071 | − | 0.139854i | ||||
\(777\) | 3.18030 | − | 5.12172i | 0.114092 | − | 0.183741i | ||||
\(778\) | −11.2751 | + | 5.67164i | −0.404231 | + | 0.203338i | ||||
\(779\) | −13.4258 | − | 20.4130i | −0.481030 | − | 0.731371i | ||||
\(780\) | 9.29453 | − | 1.34530i | 0.332798 | − | 0.0481694i | ||||
\(781\) | −2.82730 | + | 0.846439i | −0.101169 | + | 0.0302880i | ||||
\(782\) | 91.1361 | − | 5.36693i | 3.25902 | − | 0.191921i | ||||
\(783\) | −2.97636 | + | 19.1222i | −0.106366 | + | 0.683372i | ||||
\(784\) | −17.2571 | − | 18.1974i | −0.616325 | − | 0.649906i | ||||
\(785\) | −2.78646 | + | 11.7570i | −0.0994529 | + | 0.419625i | ||||
\(786\) | −30.8530 | + | 8.18954i | −1.10049 | + | 0.292111i | ||||
\(787\) | 32.2324 | + | 16.1877i | 1.14896 | + | 0.577030i | 0.918254 | − | 0.395993i | \(-0.129600\pi\) |
0.230708 | + | 0.973023i | \(0.425896\pi\) | |||||||
\(788\) | −20.3626 | + | 35.3741i | −0.725387 | + | 1.26015i | ||||
\(789\) | 6.20453 | + | 5.55488i | 0.220887 | + | 0.197759i | ||||
\(790\) | 8.35899 | + | 4.81890i | 0.297400 | + | 0.171449i | ||||
\(791\) | 1.09505 | − | 6.21033i | 0.0389355 | − | 0.220814i | ||||
\(792\) | 1.74329 | + | 1.47485i | 0.0619450 | + | 0.0524067i | ||||
\(793\) | −2.80923 | − | 15.9319i | −0.0997585 | − | 0.565759i | ||||
\(794\) | −11.4100 | + | 31.4117i | −0.404926 | + | 1.11476i | ||||
\(795\) | 3.57162 | + | 0.968464i | 0.126672 | + | 0.0343479i | ||||
\(796\) | 0.711635 | + | 1.94740i | 0.0252232 | + | 0.0690237i | ||||
\(797\) | 27.6099 | − | 6.54368i | 0.977994 | − | 0.231789i | 0.289618 | − | 0.957142i | \(-0.406472\pi\) |
0.688377 | + | 0.725354i | \(0.258324\pi\) | |||||||
\(798\) | −0.248589 | + | 7.90569i | −0.00879995 | + | 0.279858i | ||||
\(799\) | 85.5120 | + | 36.8863i | 3.02520 | + | 1.30494i | ||||
\(800\) | 0.854543 | − | 15.5329i | 0.0302127 | − | 0.549171i | ||||
\(801\) | 40.1550 | + | 20.4681i | 1.41881 | + | 0.723204i | ||||
\(802\) | −3.30716 | + | 1.42909i | −0.116780 | + | 0.0504630i | ||||
\(803\) | 0.245118 | + | 0.488070i | 0.00865002 | + | 0.0172236i | ||||
\(804\) | −24.1890 | − | 6.52555i | −0.853079 | − | 0.230138i | ||||
\(805\) | −1.26190 | + | 10.7962i | −0.0444760 | + | 0.380516i | ||||
\(806\) | 10.2170 | − | 23.7276i | 0.359878 | − | 0.835770i | ||||
\(807\) | −16.6039 | − | 42.1613i | −0.584485 | − | 1.48415i | ||||
\(808\) | 22.7715 | + | 14.9142i | 0.801100 | + | 0.524679i | ||||
\(809\) | 18.2279i | 0.640858i | 0.947273 | + | 0.320429i | \(0.103827\pi\) | ||||
−0.947273 | + | 0.320429i | \(0.896173\pi\) | |||||||
\(810\) | 14.7631 | − | 12.1058i | 0.518722 | − | 0.425354i | ||||
\(811\) | −9.16003 | −0.321652 | −0.160826 | − | 0.986983i | \(-0.551416\pi\) | ||||
−0.160826 | + | 0.986983i | \(0.551416\pi\) | |||||||
\(812\) | 0.730841 | − | 6.32332i | 0.0256475 | − | 0.221905i | ||||
\(813\) | 3.12755 | − | 20.9155i | 0.109688 | − | 0.733540i | ||||
\(814\) | −0.613064 | + | 1.42376i | −0.0214879 | + | 0.0499028i | ||||
\(815\) | 25.7629 | + | 3.01125i | 0.902435 | + | 0.105480i | ||||
\(816\) | 41.3588 | + | 32.7301i | 1.44785 | + | 1.14578i | ||||
\(817\) | 26.5709 | − | 13.3444i | 0.929600 | − | 0.466862i | ||||
\(818\) | 2.13968 | + | 4.95156i | 0.0748120 | + | 0.173127i | ||||
\(819\) | 3.70006 | + | 2.78912i | 0.129290 | + | 0.0974597i | ||||
\(820\) | 4.44913 | − | 18.8806i | 0.155370 | − | 0.659339i | ||||
\(821\) | −0.322619 | + | 0.747914i | −0.0112595 | + | 0.0261024i | −0.923753 | − | 0.382989i | \(-0.874895\pi\) |
0.912494 | + | 0.409091i | \(0.134154\pi\) | |||||||
\(822\) | −22.4131 | − | 13.8972i | −0.781745 | − | 0.484722i | ||||
\(823\) | −9.61082 | − | 40.5512i | −0.335012 | − | 1.41353i | −0.836312 | − | 0.548253i | \(-0.815293\pi\) |
0.501300 | − | 0.865273i | \(-0.332855\pi\) | |||||||
\(824\) | −1.22961 | + | 10.6991i | −0.0428356 | + | 0.372722i | ||||
\(825\) | 1.23912 | − | 0.328055i | 0.0431406 | − | 0.0114214i | ||||
\(826\) | 15.4638 | + | 5.61710i | 0.538055 | + | 0.195444i | ||||
\(827\) | 11.2143 | − | 1.97738i | 0.389959 | − | 0.0687602i | 0.0247686 | − | 0.999693i | \(-0.492115\pi\) |
0.365190 | + | 0.930933i | \(0.381004\pi\) | |||||||
\(828\) | 22.6208 | + | 45.5734i | 0.786127 | + | 1.58379i | ||||
\(829\) | −2.77019 | − | 0.488459i | −0.0962126 | − | 0.0169649i | 0.125335 | − | 0.992115i | \(-0.460000\pi\) |
−0.221547 | + | 0.975150i | \(0.571111\pi\) | |||||||
\(830\) | −0.133420 | − | 0.0769155i | −0.00463107 | − | 0.00266978i | ||||
\(831\) | −17.2639 | − | 52.6259i | −0.598880 | − | 1.82557i | ||||
\(832\) | −10.4787 | + | 9.96291i | −0.363284 | + | 0.345402i | ||||
\(833\) | 21.4212 | − | 42.6531i | 0.742200 | − | 1.47784i | ||||
\(834\) | −2.12537 | + | 2.11543i | −0.0735956 | + | 0.0732512i | ||||
\(835\) | −12.1525 | − | 2.88020i | −0.420555 | − | 0.0996733i | ||||
\(836\) | −0.238703 | − | 2.01968i | −0.00825571 | − | 0.0698522i | ||||
\(837\) | −7.14530 | − | 52.0295i | −0.246978 | − | 1.79840i | ||||
\(838\) | −25.6153 | + | 1.50847i | −0.884867 | + | 0.0521091i | ||||
\(839\) | 12.0883 | + | 40.3776i | 0.417333 | + | 1.39399i | 0.865890 | + | 0.500235i | \(0.166753\pi\) |
−0.448557 | + | 0.893754i | \(0.648062\pi\) | |||||||
\(840\) | −4.69551 | + | 4.16975i | −0.162010 | + | 0.143870i | ||||
\(841\) | 12.6401 | − | 8.31350i | 0.435864 | − | 0.286672i | ||||
\(842\) | −7.98682 | − | 15.8776i | −0.275244 | − | 0.547178i | ||||
\(843\) | 0.724276 | − | 22.5712i | 0.0249454 | − | 0.777392i | ||||
\(844\) | 1.52051 | + | 25.5398i | 0.0523382 | + | 0.879116i | ||||
\(845\) | 13.7196 | − | 4.99352i | 0.471968 | − | 0.171782i | ||||
\(846\) | −0.276831 | + | 51.9002i | −0.00951766 | + | 1.78437i | ||||
\(847\) | −3.19388 | + | 8.77511i | −0.109743 | + | 0.301516i | ||||
\(848\) | −5.34882 | + | 1.96242i | −0.183679 | + | 0.0673897i | ||||
\(849\) | 28.1178 | − | 2.37533i | 0.965000 | − | 0.0815211i | ||||
\(850\) | 28.3575 | − | 8.50958i | 0.972656 | − | 0.291876i | ||||
\(851\) | −25.1229 | + | 23.7022i | −0.861200 | + | 0.812501i | ||||
\(852\) | −25.2075 | − | 28.4226i | −0.863593 | − | 0.973743i | ||||
\(853\) | −31.6511 | + | 23.5634i | −1.08371 | + | 0.806795i | −0.982162 | − | 0.188035i | \(-0.939788\pi\) |
−0.101551 | + | 0.994830i | \(0.532381\pi\) | |||||||
\(854\) | 7.42846 | + | 7.86356i | 0.254197 | + | 0.269086i | ||||
\(855\) | −16.9689 | − | 1.09014i | −0.580324 | − | 0.0372819i | ||||
\(856\) | −19.9450 | + | 11.5667i | −0.681707 | + | 0.395341i | ||||
\(857\) | 10.5022 | − | 15.9678i | 0.358748 | − | 0.545450i | −0.610348 | − | 0.792133i | \(-0.708970\pi\) |
0.969096 | + | 0.246683i | \(0.0793407\pi\) | |||||||
\(858\) | −1.04733 | − | 0.567891i | −0.0357554 | − | 0.0193875i | ||||
\(859\) | 13.9149 | − | 18.6909i | 0.474769 | − | 0.637726i | −0.498637 | − | 0.866811i | \(-0.666166\pi\) |
0.973406 | + | 0.229085i | \(0.0735734\pi\) | |||||||
\(860\) | 22.1933 | + | 8.04536i | 0.756785 | + | 0.274344i | ||||
\(861\) | 8.16057 | − | 4.99991i | 0.278111 | − | 0.170396i | ||||
\(862\) | 1.63544 | − | 9.31006i | 0.0557032 | − | 0.317102i | ||||
\(863\) | 8.90827 | + | 15.4296i | 0.303241 | + | 0.525229i | 0.976868 | − | 0.213843i | \(-0.0685980\pi\) |
−0.673627 | + | 0.739071i | \(0.735265\pi\) | |||||||
\(864\) | −7.77077 | + | 28.3481i | −0.264367 | + | 0.964422i | ||||
\(865\) | −1.86139 | + | 3.22402i | −0.0632890 | + | 0.109620i | ||||
\(866\) | −19.7907 | − | 16.5847i | −0.672515 | − | 0.563570i | ||||
\(867\) | −22.5134 | + | 67.2675i | −0.764594 | + | 2.28453i | ||||
\(868\) | 3.02153 | + | 17.0079i | 0.102557 | + | 0.577285i | ||||
\(869\) | −0.484807 | − | 1.12391i | −0.0164459 | − | 0.0381260i | ||||
\(870\) | 13.5351 | + | 2.01503i | 0.458882 | + | 0.0683159i | ||||
\(871\) | 13.0495 | + | 0.760048i | 0.442166 | + | 0.0257532i | ||||
\(872\) | 0.0512028 | + | 26.5189i | 0.00173395 | + | 0.898044i | ||||
\(873\) | 1.51261 | + | 4.23446i | 0.0511942 | + | 0.143315i | ||||
\(874\) | 12.9683 | − | 43.4190i | 0.438661 | − | 1.46867i | ||||
\(875\) | 1.15330 | + | 9.86708i | 0.0389885 | + | 0.333568i | ||||
\(876\) | −4.36992 | + | 5.50738i | −0.147646 | + | 0.186077i | ||||
\(877\) | 48.7845 | + | 14.6051i | 1.64733 | + | 0.493180i | 0.970124 | − | 0.242610i | \(-0.0780034\pi\) |
0.677211 | + | 0.735789i | \(0.263189\pi\) | |||||||
\(878\) | −0.821722 | + | 3.47709i | −0.0277318 | + | 0.117346i | ||||
\(879\) | 4.23141 | − | 46.7553i | 0.142722 | − | 1.57702i | ||||
\(880\) | 1.03469 | − | 1.23957i | 0.0348795 | − | 0.0417858i | ||||
\(881\) | −24.1830 | − | 28.8202i | −0.814746 | − | 0.970976i | 0.185185 | − | 0.982704i | \(-0.440711\pi\) |
−0.999931 | + | 0.0117273i | \(0.996267\pi\) | |||||||
\(882\) | 26.5466 | + | 1.68828i | 0.893869 | + | 0.0568475i | ||||
\(883\) | 13.5925 | + | 11.4055i | 0.457425 | + | 0.383825i | 0.842182 | − | 0.539193i | \(-0.181271\pi\) |
−0.384758 | + | 0.923018i | \(0.625715\pi\) | |||||||
\(884\) | −24.6071 | − | 12.3185i | −0.827627 | − | 0.414317i | ||||
\(885\) | −13.1566 | + | 32.8309i | −0.442255 | + | 1.10360i | ||||
\(886\) | 2.49815 | − | 3.80359i | 0.0839271 | − | 0.127784i | ||||
\(887\) | −0.239653 | − | 4.11468i | −0.00804676 | − | 0.138157i | −0.999939 | − | 0.0110733i | \(-0.996475\pi\) |
0.991892 | − | 0.127084i | \(-0.0405618\pi\) | |||||||
\(888\) | −19.9463 | + | 0.559259i | −0.669354 | + | 0.0187675i | ||||
\(889\) | −5.23468 | + | 5.54844i | −0.175566 | + | 0.186089i | ||||
\(890\) | 14.2848 | − | 28.4890i | 0.478827 | − | 0.954955i | ||||
\(891\) | −2.41940 | + | 0.111911i | −0.0810530 | + | 0.00374916i | ||||
\(892\) | 22.5356 | − | 16.8223i | 0.754549 | − | 0.563252i | ||||
\(893\) | 31.7214 | − | 33.6227i | 1.06152 | − | 1.12514i | ||||
\(894\) | −1.17660 | + | 13.0948i | −0.0393513 | + | 0.437956i | ||||
\(895\) | −16.8624 | + | 0.982126i | −0.563649 | + | 0.0328288i | ||||
\(896\) | 2.18724 | − | 9.41758i | 0.0730707 | − | 0.314619i | ||||
\(897\) | −16.4022 | − | 20.8719i | −0.547655 | − | 0.696894i | ||||
\(898\) | −0.0249409 | − | 38.7521i | −0.000832288 | − | 1.29318i | ||||
\(899\) | 24.1962 | − | 28.8359i | 0.806989 | − | 0.961732i | ||||
\(900\) | 10.5466 | + | 12.6894i | 0.351554 | + | 0.422979i | ||||
\(901\) | −6.96997 | − | 8.30649i | −0.232203 | − | 0.276729i | ||||
\(902\) | −1.88406 | + | 1.58298i | −0.0627322 | + | 0.0527074i | ||||
\(903\) | 4.89068 | + | 10.5705i | 0.162752 | + | 0.351763i | ||||
\(904\) | −19.1491 | + | 8.30400i | −0.636889 | + | 0.276187i | ||||
\(905\) | 18.0398 | + | 5.40077i | 0.599664 | + | 0.179528i | ||||
\(906\) | −12.9837 | + | 14.5209i | −0.431354 | + | 0.482426i | ||||
\(907\) | −4.64488 | + | 0.542908i | −0.154231 | + | 0.0180270i | −0.192858 | − | 0.981227i | \(-0.561776\pi\) |
0.0386272 | + | 0.999254i | \(0.487702\pi\) | |||||||
\(908\) | 17.4785 | + | 16.4476i | 0.580044 | + | 0.545833i | ||||
\(909\) | −28.4629 | + | 4.84354i | −0.944055 | + | 0.160650i | ||||
\(910\) | 1.95484 | − | 2.62933i | 0.0648022 | − | 0.0871615i | ||||
\(911\) | −2.78253 | + | 47.7742i | −0.0921892 | + | 1.58283i | 0.562414 | + | 0.826856i | \(0.309873\pi\) |
−0.654603 | + | 0.755973i | \(0.727164\pi\) | |||||||
\(912\) | 22.2873 | − | 13.7342i | 0.738005 | − | 0.454786i | ||||
\(913\) | 0.00773811 | + | 0.0179390i | 0.000256094 | + | 0.000593693i | ||||
\(914\) | 3.64125 | + | 4.88449i | 0.120442 | + | 0.161564i | ||||
\(915\) | −17.4183 | + | 15.4079i | −0.575832 | + | 0.509371i | ||||
\(916\) | −2.44205 | + | 1.05713i | −0.0806876 | + | 0.0349285i | ||||
\(917\) | −5.56825 | + | 9.64450i | −0.183880 | + | 0.318489i | ||||
\(918\) | −55.7680 | + | 4.41171i | −1.84062 | + | 0.145608i | ||||
\(919\) | 24.5338 | − | 14.1646i | 0.809295 | − | 0.467247i | −0.0374159 | − | 0.999300i | \(-0.511913\pi\) |
0.846711 | + | 0.532053i | \(0.178579\pi\) | |||||||
\(920\) | 32.1186 | − | 16.2083i | 1.05892 | − | 0.534372i | ||||
\(921\) | 11.8166 | + | 6.41713i | 0.389371 | + | 0.211451i | ||||
\(922\) | −1.95526 | + | 0.229813i | −0.0643931 | + | 0.00756849i | ||||
\(923\) | 15.8991 | + | 11.8364i | 0.523324 | + | 0.389600i | ||||
\(924\) | 0.793727 | − | 0.0680814i | 0.0261117 | − | 0.00223971i | ||||
\(925\) | −6.15511 | + | 9.35838i | −0.202379 | + | 0.307702i | ||||
\(926\) | −1.74712 | + | 15.0314i | −0.0574139 | + | 0.493964i | ||||
\(927\) | −6.76636 | − | 9.20314i | −0.222236 | − | 0.302271i | ||||
\(928\) | −18.7968 | + | 9.51597i | −0.617035 | + | 0.312377i | ||||
\(929\) | 20.7204 | − | 15.4258i | 0.679815 | − | 0.506104i | −0.200983 | − | 0.979595i | \(-0.564414\pi\) |
0.880799 | + | 0.473491i | \(0.157006\pi\) | |||||||
\(930\) | −36.7561 | + | 5.29596i | −1.20528 | + | 0.173661i | ||||
\(931\) | −16.2578 | − | 17.2323i | −0.532828 | − | 0.564764i | ||||
\(932\) | −37.0056 | − | 6.47598i | −1.21216 | − | 0.212128i | ||||
\(933\) | −20.1466 | + | 42.8695i | −0.659570 | + | 1.40349i | ||||
\(934\) | 41.3380 | − | 7.31644i | 1.35262 | − | 0.239401i | ||||
\(935\) | 2.88768 | + | 1.05103i | 0.0944372 | + | 0.0343723i | ||||
\(936\) | 0.953662 | − | 15.3064i | 0.0311714 | − | 0.500306i | ||||
\(937\) | −42.6477 | + | 15.5225i | −1.39324 | + | 0.507098i | −0.926165 | − | 0.377120i | \(-0.876915\pi\) |
−0.467075 | + | 0.884217i | \(0.654692\pi\) | |||||||
\(938\) | −7.56673 | + | 4.37515i | −0.247063 | + | 0.142854i | ||||
\(939\) | −5.55286 | − | 10.3725i | −0.181211 | − | 0.338494i | ||||
\(940\) | 36.6994 | − | 0.0472396i | 1.19700 | − | 0.00154079i | ||||
\(941\) | −40.9236 | + | 26.9159i | −1.33407 | + | 0.877432i | −0.997926 | − | 0.0643780i | \(-0.979494\pi\) |
−0.336145 | + | 0.941810i | \(0.609123\pi\) | |||||||
\(942\) | 17.8627 | + | 8.38058i | 0.581999 | + | 0.273054i | ||||
\(943\) | −52.5261 | + | 15.7253i | −1.71049 | + | 0.512086i | ||||
\(944\) | −12.6944 | − | 52.9539i | −0.413166 | − | 1.72350i | ||||
\(945\) | 0.639981 | − | 6.62981i | 0.0208186 | − | 0.215668i | ||||
\(946\) | −1.64724 | − | 2.50099i | −0.0535563 | − | 0.0813143i | ||||
\(947\) | 3.45964 | − | 14.5974i | 0.112423 | − | 0.474350i | −0.887486 | − | 0.460836i | \(-0.847550\pi\) |
0.999909 | − | 0.0135149i | \(-0.00430205\pi\) | |||||||
\(948\) | 10.4946 | − | 11.7523i | 0.340848 | − | 0.381698i | ||||
\(949\) | 1.64624 | − | 3.27794i | 0.0534393 | − | 0.106406i | ||||
\(950\) | 0.845026 | − | 14.6712i | 0.0274162 | − | 0.475996i | ||||
\(951\) | −1.56842 | + | 7.48288i | −0.0508596 | + | 0.242649i | ||||
\(952\) | 18.2720 | − | 2.17146i | 0.592198 | − | 0.0703773i | ||||
\(953\) | −2.02226 | − | 0.356580i | −0.0655076 | − | 0.0115507i | 0.140798 | − | 0.990038i | \(-0.455033\pi\) |
−0.206306 | + | 0.978488i | \(0.566144\pi\) | |||||||
\(954\) | 2.74088 | − | 5.38573i | 0.0887394 | − | 0.174369i | ||||
\(955\) | 0.557911 | + | 3.16407i | 0.0180536 | + | 0.102387i | ||||
\(956\) | −24.6274 | − | 26.0363i | −0.796506 | − | 0.842073i | ||||
\(957\) | −1.22385 | − | 1.23119i | −0.0395614 | − | 0.0397986i | ||||
\(958\) | −14.8334 | + | 15.7428i | −0.479247 | + | 0.508627i | ||||
\(959\) | −8.95245 | + | 2.12177i | −0.289090 | + | 0.0685155i | ||||
\(960\) | 20.0811 | + | 5.36192i | 0.648113 | + | 0.173055i | ||||
\(961\) | −28.1822 | + | 65.3338i | −0.909104 | + | 2.10754i | ||||
\(962\) | 10.1288 | − | 2.40745i | 0.326565 | − | 0.0776193i | ||||
\(963\) | 7.15365 | − | 23.3852i | 0.230523 | − | 0.753577i | ||||
\(964\) | 0.353307 | − | 6.20360i | 0.0113792 | − | 0.199805i | ||||
\(965\) | 1.22527 | − | 0.615354i | 0.0394428 | − | 0.0198089i | ||||
\(966\) | 16.8361 | + | 5.62272i | 0.541692 | + | 0.180908i | ||||
\(967\) | −3.46481 | + | 29.6434i | −0.111421 | + | 0.953266i | 0.815693 | + | 0.578486i | \(0.196356\pi\) |
−0.927113 | + | 0.374781i | \(0.877718\pi\) | |||||||
\(968\) | 30.0609 | − | 7.18590i | 0.966195 | − | 0.230964i | ||||
\(969\) | 38.9903 | + | 31.0194i | 1.25255 | + | 0.996485i | ||||
\(970\) | 2.98706 | − | 1.08938i | 0.0959088 | − | 0.0349779i | ||||
\(971\) | 5.70505i | 0.183084i | 0.995801 | + | 0.0915418i | \(0.0291795\pi\) | ||||
−0.995801 | + | 0.0915418i | \(0.970820\pi\) | |||||||
\(972\) | −14.4204 | − | 27.6415i | −0.462536 | − | 0.886600i | ||||
\(973\) | 1.04617i | 0.0335385i | ||||||||
\(974\) | 3.07977 | + | 8.44469i | 0.0986823 | + | 0.270585i | ||||
\(975\) | −6.73689 | − | 5.35964i | −0.215753 | − | 0.171646i | ||||
\(976\) | 8.16719 | − | 34.8598i | 0.261425 | − | 1.11583i | ||||
\(977\) | −2.27661 | + | 19.4776i | −0.0728351 | + | 0.623144i | 0.906686 | + | 0.421805i | \(0.138603\pi\) |
−0.979522 | + | 0.201339i | \(0.935471\pi\) | |||||||
\(978\) | 13.4175 | − | 40.1758i | 0.429043 | − | 1.28468i | ||||
\(979\) | −3.61295 | + | 1.81449i | −0.115470 | + | 0.0579913i | ||||
\(980\) | 1.06948 | − | 18.7787i | 0.0341634 | − | 0.599864i | ||||
\(981\) | −19.1797 | − | 20.5743i | −0.612361 | − | 0.656887i | ||||
\(982\) | −3.04325 | − | 12.8037i | −0.0971139 | − | 0.408584i | ||||
\(983\) | 14.7334 | − | 34.1559i | 0.469924 | − | 1.08941i | −0.504240 | − | 0.863563i | \(-0.668227\pi\) |
0.974164 | − | 0.225842i | \(-0.0725134\pi\) | |||||||
\(984\) | −28.6944 | − | 13.4174i | −0.914744 | − | 0.427731i | ||||
\(985\) | −29.7870 | + | 7.05964i | −0.949092 | + | 0.224939i | ||||
\(986\) | −29.1832 | − | 27.4975i | −0.929384 | − | 0.875698i | ||||
\(987\) | 12.7651 | + | 12.8417i | 0.406319 | + | 0.408755i | ||||
\(988\) | −9.92302 | + | 9.38606i | −0.315693 | + | 0.298610i | ||||
\(989\) | −11.5869 | − | 65.7125i | −0.368441 | − | 2.08953i | ||||
\(990\) | 0.0904582 | + | 1.71021i | 0.00287495 | + | 0.0543541i | ||||
\(991\) | −25.2117 | − | 4.44550i | −0.800875 | − | 0.141216i | −0.241792 | − | 0.970328i | \(-0.577735\pi\) |
−0.559082 | + | 0.829112i | \(0.688846\pi\) | |||||||
\(992\) | 41.4606 | − | 39.3690i | 1.31637 | − | 1.24997i | ||||
\(993\) | −6.97289 | + | 33.2674i | −0.221278 | + | 1.05571i | ||||
\(994\) | −13.2318 | − | 0.762122i | −0.419689 | − | 0.0241731i | ||||
\(995\) | −0.697888 | + | 1.38961i | −0.0221245 | + | 0.0440536i | ||||
\(996\) | −0.167506 | + | 0.187581i | −0.00530763 | + | 0.00594374i | ||||
\(997\) | 6.07850 | − | 25.6472i | 0.192508 | − | 0.812256i | −0.787984 | − | 0.615696i | \(-0.788875\pi\) |
0.980492 | − | 0.196560i | \(-0.0629770\pi\) | |||||||
\(998\) | 1.14112 | − | 0.751581i | 0.0361216 | − | 0.0237909i | ||||
\(999\) | 15.0992 | − | 14.8308i | 0.477717 | − | 0.469226i |
(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 | 648.2.bb.b.11.13 | ✓ | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.11.63 | yes | 1872 | |
81.59 | odd | 54 | inner | 648.2.bb.b.59.63 | yes | 1872 | |
648.59 | even | 54 | inner | 648.2.bb.b.59.13 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.11.13 | ✓ | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.11.63 | yes | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.59.13 | yes | 1872 | 648.59 | even | 54 | inner | |
648.2.bb.b.59.63 | yes | 1872 | 81.59 | odd | 54 | inner |