Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,2,Mod(15,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.j (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.990144985064\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 15.2 | ||
Root | \(-0.951057 - 0.309017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 124.15 |
Dual form | 124.2.j.a.91.2 |
$q$-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 \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.221232 | + | 1.39680i | −0.156434 | + | 0.987688i | ||||
\(3\) | 2.48990 | + | 1.80902i | 1.43754 | + | 1.04444i | 0.988549 | + | 0.150902i | \(0.0482178\pi\) |
0.448995 | + | 0.893534i | \(0.351782\pi\) | |||||||
\(4\) | −1.90211 | − | 0.618034i | −0.951057 | − | 0.309017i | ||||
\(5\) | −1.61803 | −0.723607 | −0.361803 | − | 0.932254i | \(-0.617839\pi\) | ||||
−0.361803 | + | 0.932254i | \(0.617839\pi\) | |||||||
\(6\) | −3.07768 | + | 3.07768i | −1.25646 | + | 1.25646i | ||||
\(7\) | −0.224514 | − | 0.0729490i | −0.0848583 | − | 0.0275721i | 0.266280 | − | 0.963896i | \(-0.414205\pi\) |
−0.351138 | + | 0.936324i | \(0.614205\pi\) | |||||||
\(8\) | 1.28408 | − | 2.52015i | 0.453990 | − | 0.891007i | ||||
\(9\) | 2.00000 | + | 6.15537i | 0.666667 | + | 2.05179i | ||||
\(10\) | 0.357960 | − | 2.26007i | 0.113197 | − | 0.714698i | ||||
\(11\) | 1.90211 | − | 5.85410i | 0.573509 | − | 1.76508i | −0.0676935 | − | 0.997706i | \(-0.521564\pi\) |
0.641202 | − | 0.767372i | \(-0.278436\pi\) | |||||||
\(12\) | −3.61803 | − | 4.97980i | −1.04444 | − | 1.43754i | ||||
\(13\) | −0.263932 | + | 0.363271i | −0.0732016 | + | 0.100753i | −0.844048 | − | 0.536268i | \(-0.819834\pi\) |
0.770846 | + | 0.637021i | \(0.219834\pi\) | |||||||
\(14\) | 0.151565 | − | 0.297463i | 0.0405074 | − | 0.0795003i | ||||
\(15\) | −4.02874 | − | 2.92705i | −1.04022 | − | 0.755761i | ||||
\(16\) | 3.23607 | + | 2.35114i | 0.809017 | + | 0.587785i | ||||
\(17\) | −1.54508 | + | 0.502029i | −0.374738 | + | 0.121760i | −0.490330 | − | 0.871537i | \(-0.663124\pi\) |
0.115592 | + | 0.993297i | \(0.463124\pi\) | |||||||
\(18\) | −9.04029 | + | 1.43184i | −2.13082 | + | 0.337488i | ||||
\(19\) | 2.93893 | + | 4.04508i | 0.674236 | + | 0.928006i | 0.999847 | − | 0.0174977i | \(-0.00556997\pi\) |
−0.325611 | + | 0.945504i | \(0.605570\pi\) | |||||||
\(20\) | 3.07768 | + | 1.00000i | 0.688191 | + | 0.223607i | ||||
\(21\) | −0.427051 | − | 0.587785i | −0.0931902 | − | 0.128265i | ||||
\(22\) | 7.75621 | + | 3.95199i | 1.65363 | + | 0.842567i | ||||
\(23\) | −0.224514 | − | 0.690983i | −0.0468144 | − | 0.144080i | 0.924917 | − | 0.380169i | \(-0.124134\pi\) |
−0.971731 | + | 0.236089i | \(0.924134\pi\) | |||||||
\(24\) | 7.75621 | − | 3.95199i | 1.58323 | − | 0.806696i | ||||
\(25\) | −2.38197 | −0.476393 | ||||||||
\(26\) | −0.449028 | − | 0.449028i | −0.0880616 | − | 0.0880616i | ||||
\(27\) | −3.30220 | + | 10.1631i | −0.635508 | + | 1.95589i | ||||
\(28\) | 0.381966 | + | 0.277515i | 0.0721848 | + | 0.0524453i | ||||
\(29\) | −4.30902 | − | 5.93085i | −0.800164 | − | 1.10133i | −0.992767 | − | 0.120055i | \(-0.961693\pi\) |
0.192603 | − | 0.981277i | \(-0.438307\pi\) | |||||||
\(30\) | 4.97980 | − | 4.97980i | 0.909182 | − | 0.909182i | ||||
\(31\) | 1.76336 | − | 5.28115i | 0.316708 | − | 0.948523i | ||||
\(32\) | −4.00000 | + | 4.00000i | −0.707107 | + | 0.707107i | ||||
\(33\) | 15.3262 | − | 11.1352i | 2.66796 | − | 1.93838i | ||||
\(34\) | −0.359413 | − | 2.26924i | −0.0616388 | − | 0.389172i | ||||
\(35\) | 0.363271 | + | 0.118034i | 0.0614041 | + | 0.0199514i | ||||
\(36\) | − | 12.9443i | − | 2.15738i | ||||||
\(37\) | 9.23305i | 1.51790i | 0.651146 | + | 0.758952i | \(0.274288\pi\) | ||||
−0.651146 | + | 0.758952i | \(0.725712\pi\) | |||||||
\(38\) | −6.30037 | + | 3.21020i | −1.02205 | + | 0.520763i | ||||
\(39\) | −1.31433 | + | 0.427051i | −0.210461 | + | 0.0683829i | ||||
\(40\) | −2.07768 | + | 4.07768i | −0.328511 | + | 0.644738i | ||||
\(41\) | 4.23607 | − | 3.07768i | 0.661563 | − | 0.480653i | −0.205628 | − | 0.978630i | \(-0.565924\pi\) |
0.867190 | + | 0.497977i | \(0.165924\pi\) | |||||||
\(42\) | 0.915497 | − | 0.466469i | 0.141264 | − | 0.0719777i | ||||
\(43\) | 2.12663 | − | 1.54508i | 0.324308 | − | 0.235623i | −0.413704 | − | 0.910412i | \(-0.635765\pi\) |
0.738011 | + | 0.674788i | \(0.235765\pi\) | |||||||
\(44\) | −7.23607 | + | 9.95959i | −1.09088 | + | 1.50147i | ||||
\(45\) | −3.23607 | − | 9.95959i | −0.482405 | − | 1.48469i | ||||
\(46\) | 1.01484 | − | 0.160734i | 0.149629 | − | 0.0236990i | ||||
\(47\) | 3.30220 | − | 4.54508i | 0.481675 | − | 0.662969i | −0.497151 | − | 0.867664i | \(-0.665620\pi\) |
0.978826 | + | 0.204695i | \(0.0656204\pi\) | |||||||
\(48\) | 3.80423 | + | 11.7082i | 0.549093 | + | 1.68993i | ||||
\(49\) | −5.61803 | − | 4.08174i | −0.802576 | − | 0.583106i | ||||
\(50\) | 0.526966 | − | 3.32714i | 0.0745243 | − | 0.470528i | ||||
\(51\) | −4.75528 | − | 1.54508i | −0.665873 | − | 0.216355i | ||||
\(52\) | 0.726543 | − | 0.527864i | 0.100753 | − | 0.0732016i | ||||
\(53\) | −8.78115 | + | 2.85317i | −1.20618 | + | 0.391913i | −0.842033 | − | 0.539427i | \(-0.818641\pi\) |
−0.364152 | + | 0.931340i | \(0.618641\pi\) | |||||||
\(54\) | −13.4653 | − | 6.86092i | −1.83240 | − | 0.933653i | ||||
\(55\) | −3.07768 | + | 9.47214i | −0.414995 | + | 1.27722i | ||||
\(56\) | −0.472136 | + | 0.472136i | −0.0630918 | + | 0.0630918i | ||||
\(57\) | 15.3884i | 2.03825i | ||||||||
\(58\) | 9.23752 | − | 4.70675i | 1.21295 | − | 0.618027i | ||||
\(59\) | −3.21644 | + | 4.42705i | −0.418745 | + | 0.576353i | −0.965324 | − | 0.261055i | \(-0.915930\pi\) |
0.546579 | + | 0.837407i | \(0.315930\pi\) | |||||||
\(60\) | 5.85410 | + | 8.05748i | 0.755761 | + | 1.04022i | ||||
\(61\) | 0.898056i | 0.114984i | 0.998346 | + | 0.0574921i | \(0.0183104\pi\) | ||||
−0.998346 | + | 0.0574921i | \(0.981690\pi\) | |||||||
\(62\) | 6.98662 | + | 3.63142i | 0.887301 | + | 0.461191i | ||||
\(63\) | − | 1.52786i | − | 0.192493i | ||||||
\(64\) | −4.70228 | − | 6.47214i | −0.587785 | − | 0.809017i | ||||
\(65\) | 0.427051 | − | 0.587785i | 0.0529692 | − | 0.0729058i | ||||
\(66\) | 12.1630 | + | 23.8712i | 1.49716 | + | 2.93834i | ||||
\(67\) | 5.76393i | 0.704176i | 0.935967 | + | 0.352088i | \(0.114528\pi\) | ||||
−0.935967 | + | 0.352088i | \(0.885472\pi\) | |||||||
\(68\) | 3.24920 | 0.394023 | ||||||||
\(69\) | 0.690983 | − | 2.12663i | 0.0831846 | − | 0.256016i | ||||
\(70\) | −0.245237 | + | 0.481305i | −0.0293115 | + | 0.0575270i | ||||
\(71\) | −6.29412 | + | 2.04508i | −0.746975 | + | 0.242707i | −0.657679 | − | 0.753298i | \(-0.728462\pi\) |
−0.0892960 | + | 0.996005i | \(0.528462\pi\) | |||||||
\(72\) | 18.0806 | + | 2.86368i | 2.13082 | + | 0.337488i | ||||
\(73\) | −1.80902 | − | 0.587785i | −0.211729 | − | 0.0687951i | 0.201232 | − | 0.979544i | \(-0.435506\pi\) |
−0.412961 | + | 0.910749i | \(0.635506\pi\) | |||||||
\(74\) | −12.8967 | − | 2.04264i | −1.49922 | − | 0.237453i | ||||
\(75\) | −5.93085 | − | 4.30902i | −0.684836 | − | 0.497562i | ||||
\(76\) | −3.09017 | − | 9.51057i | −0.354467 | − | 1.09094i | ||||
\(77\) | −0.854102 | + | 1.17557i | −0.0973340 | + | 0.133969i | ||||
\(78\) | −0.305735 | − | 1.93033i | −0.0346176 | − | 0.218567i | ||||
\(79\) | −2.07363 | − | 6.38197i | −0.233301 | − | 0.718027i | −0.997342 | − | 0.0728596i | \(-0.976788\pi\) |
0.764041 | − | 0.645168i | \(-0.223212\pi\) | |||||||
\(80\) | −5.23607 | − | 3.80423i | −0.585410 | − | 0.425325i | ||||
\(81\) | −10.8992 | + | 7.91872i | −1.21102 | + | 0.879858i | ||||
\(82\) | 3.36176 | + | 6.59783i | 0.371245 | + | 0.728608i | ||||
\(83\) | −5.34307 | + | 3.88197i | −0.586478 | + | 0.426101i | −0.841054 | − | 0.540952i | \(-0.818064\pi\) |
0.254576 | + | 0.967053i | \(0.418064\pi\) | |||||||
\(84\) | 0.449028 | + | 1.38197i | 0.0489930 | + | 0.150785i | ||||
\(85\) | 2.50000 | − | 0.812299i | 0.271163 | − | 0.0881062i | ||||
\(86\) | 1.68770 | + | 3.31230i | 0.181989 | + | 0.357174i | ||||
\(87\) | − | 22.5623i | − | 2.41893i | ||||||
\(88\) | −12.3107 | − | 12.3107i | −1.31233 | − | 1.31233i | ||||
\(89\) | −2.33688 | − | 0.759299i | −0.247709 | − | 0.0804855i | 0.182531 | − | 0.983200i | \(-0.441571\pi\) |
−0.430240 | + | 0.902715i | \(0.641571\pi\) | |||||||
\(90\) | 14.6275 | − | 2.31677i | 1.54187 | − | 0.244209i | ||||
\(91\) | 0.0857567 | − | 0.0623059i | 0.00898975 | − | 0.00653143i | ||||
\(92\) | 1.45309i | 0.151495i | ||||||||
\(93\) | 13.9443 | − | 9.95959i | 1.44595 | − | 1.03276i | ||||
\(94\) | 5.61803 | + | 5.61803i | 0.579456 | + | 0.579456i | ||||
\(95\) | −4.75528 | − | 6.54508i | −0.487882 | − | 0.671512i | ||||
\(96\) | −17.1957 | + | 2.72353i | −1.75502 | + | 0.277969i | ||||
\(97\) | 0.454915 | − | 1.40008i | 0.0461896 | − | 0.142157i | −0.925302 | − | 0.379231i | \(-0.876188\pi\) |
0.971492 | + | 0.237074i | \(0.0761885\pi\) | |||||||
\(98\) | 6.94427 | − | 6.94427i | 0.701477 | − | 0.701477i | ||||
\(99\) | 39.8384 | 4.00391 | ||||||||
\(100\) | 4.53077 | + | 1.47214i | 0.453077 | + | 0.147214i | ||||
\(101\) | 2.76393 | + | 8.50651i | 0.275022 | + | 0.846429i | 0.989214 | + | 0.146480i | \(0.0467943\pi\) |
−0.714192 | + | 0.699950i | \(0.753206\pi\) | |||||||
\(102\) | 3.21020 | − | 6.30037i | 0.317857 | − | 0.623829i | ||||
\(103\) | 7.10642 | + | 9.78115i | 0.700217 | + | 0.963766i | 0.999953 | + | 0.00974339i | \(0.00310147\pi\) |
−0.299736 | + | 0.954022i | \(0.596899\pi\) | |||||||
\(104\) | 0.576587 | + | 1.13162i | 0.0565390 | + | 0.110964i | ||||
\(105\) | 0.690983 | + | 0.951057i | 0.0674330 | + | 0.0928136i | ||||
\(106\) | −2.04264 | − | 12.8967i | −0.198399 | − | 1.25264i | ||||
\(107\) | −6.79615 | + | 2.20820i | −0.657009 | + | 0.213475i | −0.618502 | − | 0.785783i | \(-0.712260\pi\) |
−0.0385069 | + | 0.999258i | \(0.512260\pi\) | |||||||
\(108\) | 12.5623 | − | 17.2905i | 1.20881 | − | 1.66378i | ||||
\(109\) | 12.2812 | + | 8.92278i | 1.17632 | + | 0.854647i | 0.991752 | − | 0.128172i | \(-0.0409110\pi\) |
0.184569 | + | 0.982820i | \(0.440911\pi\) | |||||||
\(110\) | −12.5498 | − | 6.39445i | −1.19658 | − | 0.609687i | ||||
\(111\) | −16.7027 | + | 22.9894i | −1.58535 | + | 2.18205i | ||||
\(112\) | −0.555029 | − | 0.763932i | −0.0524453 | − | 0.0721848i | ||||
\(113\) | 2.64590 | − | 8.14324i | 0.248905 | − | 0.766051i | −0.746064 | − | 0.665874i | \(-0.768059\pi\) |
0.994970 | − | 0.100178i | \(-0.0319411\pi\) | |||||||
\(114\) | −21.4946 | − | 3.40441i | −2.01315 | − | 0.318852i | ||||
\(115\) | 0.363271 | + | 1.11803i | 0.0338752 | + | 0.104257i | ||||
\(116\) | 4.53077 | + | 13.9443i | 0.420671 | + | 1.29469i | ||||
\(117\) | −2.76393 | − | 0.898056i | −0.255526 | − | 0.0830253i | ||||
\(118\) | −5.47214 | − | 5.47214i | −0.503751 | − | 0.503751i | ||||
\(119\) | 0.383516 | 0.0351568 | ||||||||
\(120\) | −12.5498 | + | 6.39445i | −1.14564 | + | 0.583731i | ||||
\(121\) | −21.7533 | − | 15.8047i | −1.97757 | − | 1.43679i | ||||
\(122\) | −1.25441 | − | 0.198678i | −0.113569 | − | 0.0179875i | ||||
\(123\) | 16.1150 | 1.45304 | ||||||||
\(124\) | −6.61803 | + | 8.95554i | −0.594317 | + | 0.804231i | ||||
\(125\) | 11.9443 | 1.06833 | ||||||||
\(126\) | 2.13412 | + | 0.338012i | 0.190123 | + | 0.0301125i | ||||
\(127\) | 8.64527 | + | 6.28115i | 0.767143 | + | 0.557362i | 0.901093 | − | 0.433626i | \(-0.142766\pi\) |
−0.133950 | + | 0.990988i | \(0.542766\pi\) | |||||||
\(128\) | 10.0806 | − | 5.13632i | 0.891007 | − | 0.453990i | ||||
\(129\) | 8.09017 | 0.712300 | ||||||||
\(130\) | 0.726543 | + | 0.726543i | 0.0637220 | + | 0.0637220i | ||||
\(131\) | 11.5514 | + | 3.75329i | 1.00925 | + | 0.327926i | 0.766557 | − | 0.642176i | \(-0.221968\pi\) |
0.242696 | + | 0.970102i | \(0.421968\pi\) | |||||||
\(132\) | −36.0341 | + | 11.7082i | −3.13637 | + | 1.01907i | ||||
\(133\) | −0.364745 | − | 1.12257i | −0.0316274 | − | 0.0973392i | ||||
\(134\) | −8.05107 | − | 1.27516i | −0.695507 | − | 0.110157i | ||||
\(135\) | 5.34307 | − | 16.4443i | 0.459858 | − | 1.41530i | ||||
\(136\) | −0.718826 | + | 4.53849i | −0.0616388 | + | 0.389172i | ||||
\(137\) | −5.85410 | + | 8.05748i | −0.500150 | + | 0.688397i | −0.982220 | − | 0.187736i | \(-0.939885\pi\) |
0.482070 | + | 0.876133i | \(0.339885\pi\) | |||||||
\(138\) | 2.81761 | + | 1.43564i | 0.239851 | + | 0.122210i | ||||
\(139\) | −4.02874 | − | 2.92705i | −0.341713 | − | 0.248269i | 0.403671 | − | 0.914904i | \(-0.367734\pi\) |
−0.745384 | + | 0.666635i | \(0.767734\pi\) | |||||||
\(140\) | −0.618034 | − | 0.449028i | −0.0522334 | − | 0.0379498i | ||||
\(141\) | 16.4443 | − | 5.34307i | 1.38486 | − | 0.449967i | ||||
\(142\) | −1.46412 | − | 9.24408i | −0.122866 | − | 0.775746i | ||||
\(143\) | 1.62460 | + | 2.23607i | 0.135856 | + | 0.186989i | ||||
\(144\) | −8.00000 | + | 24.6215i | −0.666667 | + | 2.05179i | ||||
\(145\) | 6.97214 | + | 9.59632i | 0.579004 | + | 0.796931i | ||||
\(146\) | 1.22123 | − | 2.39680i | 0.101070 | − | 0.198361i | ||||
\(147\) | −6.60440 | − | 20.3262i | −0.544721 | − | 1.67648i | ||||
\(148\) | 5.70634 | − | 17.5623i | 0.469058 | − | 1.44361i | ||||
\(149\) | 4.14590 | 0.339645 | 0.169823 | − | 0.985475i | \(-0.445681\pi\) | ||||
0.169823 | + | 0.985475i | \(0.445681\pi\) | |||||||
\(150\) | 7.33094 | − | 7.33094i | 0.598569 | − | 0.598569i | ||||
\(151\) | 2.66141 | − | 8.19098i | 0.216583 | − | 0.666573i | −0.782455 | − | 0.622707i | \(-0.786033\pi\) |
0.999037 | − | 0.0438654i | \(-0.0139673\pi\) | |||||||
\(152\) | 13.9680 | − | 2.21232i | 1.13296 | − | 0.179443i | ||||
\(153\) | −6.18034 | − | 8.50651i | −0.499651 | − | 0.687710i | ||||
\(154\) | −1.45309 | − | 1.45309i | −0.117093 | − | 0.117093i | ||||
\(155\) | −2.85317 | + | 8.54508i | −0.229172 | + | 0.686358i | ||||
\(156\) | 2.76393 | 0.221292 | ||||||||
\(157\) | −13.7082 | + | 9.95959i | −1.09403 | + | 0.794862i | −0.980076 | − | 0.198624i | \(-0.936353\pi\) |
−0.113958 | + | 0.993486i | \(0.536353\pi\) | |||||||
\(158\) | 9.37310 | − | 1.48455i | 0.745684 | − | 0.118105i | ||||
\(159\) | −27.0256 | − | 8.78115i | −2.14327 | − | 0.696391i | ||||
\(160\) | 6.47214 | − | 6.47214i | 0.511667 | − | 0.511667i | ||||
\(161\) | 0.171513i | 0.0135172i | ||||||||
\(162\) | −8.64964 | − | 16.9759i | −0.679580 | − | 1.33375i | ||||
\(163\) | 1.95511 | − | 0.635255i | 0.153136 | − | 0.0497570i | −0.231446 | − | 0.972848i | \(-0.574346\pi\) |
0.384582 | + | 0.923091i | \(0.374346\pi\) | |||||||
\(164\) | −9.95959 | + | 3.23607i | −0.777714 | + | 0.252694i | ||||
\(165\) | −24.7984 | + | 18.0171i | −1.93055 | + | 1.40263i | ||||
\(166\) | −4.24028 | − | 8.32202i | −0.329110 | − | 0.645914i | ||||
\(167\) | 16.8415 | − | 12.2361i | 1.30323 | − | 0.946855i | 0.303253 | − | 0.952910i | \(-0.401927\pi\) |
0.999982 | + | 0.00605473i | \(0.00192729\pi\) | |||||||
\(168\) | −2.02967 | + | 0.321469i | −0.156593 | + | 0.0248018i | ||||
\(169\) | 3.95492 | + | 12.1720i | 0.304224 | + | 0.936306i | ||||
\(170\) | 0.581542 | + | 3.67171i | 0.0446022 | + | 0.281607i | ||||
\(171\) | −19.0211 | + | 26.1803i | −1.45458 | + | 2.00206i | ||||
\(172\) | −5.00000 | + | 1.62460i | −0.381246 | + | 0.123874i | ||||
\(173\) | 10.5451 | + | 7.66145i | 0.801728 | + | 0.582489i | 0.911421 | − | 0.411476i | \(-0.134987\pi\) |
−0.109693 | + | 0.993966i | \(0.534987\pi\) | |||||||
\(174\) | 31.5151 | + | 4.99150i | 2.38915 | + | 0.378405i | ||||
\(175\) | 0.534785 | + | 0.173762i | 0.0404259 | + | 0.0131352i | ||||
\(176\) | 19.9192 | − | 14.4721i | 1.50147 | − | 1.09088i | ||||
\(177\) | −16.0172 | + | 5.20431i | −1.20393 | + | 0.391180i | ||||
\(178\) | 1.57758 | − | 3.09618i | 0.118245 | − | 0.232068i | ||||
\(179\) | 1.31433 | − | 4.04508i | 0.0982375 | − | 0.302344i | −0.889846 | − | 0.456260i | \(-0.849189\pi\) |
0.988084 | + | 0.153916i | \(0.0491886\pi\) | |||||||
\(180\) | 20.9443i | 1.56109i | ||||||||
\(181\) | − | 0.726543i | − | 0.0540035i | −0.999635 | − | 0.0270017i | \(-0.991404\pi\) | ||
0.999635 | − | 0.0270017i | \(-0.00859597\pi\) | |||||||
\(182\) | 0.0680569 | + | 0.133569i | 0.00504471 | + | 0.00990081i | ||||
\(183\) | −1.62460 | + | 2.23607i | −0.120094 | + | 0.165295i | ||||
\(184\) | −2.02967 | − | 0.321469i | −0.149629 | − | 0.0236990i | ||||
\(185\) | − | 14.9394i | − | 1.09837i | ||||||
\(186\) | 10.8267 | + | 21.6808i | 0.793850 | + | 1.58971i | ||||
\(187\) | 10.0000i | 0.731272i | ||||||||
\(188\) | −9.09017 | + | 6.60440i | −0.662969 | + | 0.481675i | ||||
\(189\) | 1.48278 | − | 2.04087i | 0.107856 | − | 0.148451i | ||||
\(190\) | 10.1942 | − | 5.19421i | 0.739566 | − | 0.376828i | ||||
\(191\) | − | 0.326238i | − | 0.0236057i | −0.999930 | − | 0.0118029i | \(-0.996243\pi\) | ||
0.999930 | − | 0.0118029i | \(-0.00375706\pi\) | |||||||
\(192\) | − | 24.6215i | − | 1.77690i | ||||||
\(193\) | 2.51722 | − | 7.74721i | 0.181194 | − | 0.557656i | −0.818669 | − | 0.574266i | \(-0.805287\pi\) |
0.999862 | + | 0.0166100i | \(0.00528738\pi\) | |||||||
\(194\) | 1.85500 | + | 0.945169i | 0.133181 | + | 0.0678592i | ||||
\(195\) | 2.12663 | − | 0.690983i | 0.152291 | − | 0.0494823i | ||||
\(196\) | 8.16348 | + | 11.2361i | 0.583106 | + | 0.802576i | ||||
\(197\) | 16.5451 | + | 5.37582i | 1.17879 | + | 0.383012i | 0.831916 | − | 0.554901i | \(-0.187244\pi\) |
0.346872 | + | 0.937912i | \(0.387244\pi\) | |||||||
\(198\) | −8.81351 | + | 55.6463i | −0.626349 | + | 3.95461i | ||||
\(199\) | 2.93893 | + | 2.13525i | 0.208335 | + | 0.151364i | 0.687060 | − | 0.726601i | \(-0.258901\pi\) |
−0.478725 | + | 0.877965i | \(0.658901\pi\) | |||||||
\(200\) | −3.05863 | + | 6.00290i | −0.216278 | + | 0.424469i | ||||
\(201\) | −10.4271 | + | 14.3516i | −0.735467 | + | 1.01228i | ||||
\(202\) | −12.4934 | + | 1.97876i | −0.879031 | + | 0.139225i | ||||
\(203\) | 0.534785 | + | 1.64590i | 0.0375345 | + | 0.115519i | ||||
\(204\) | 8.09017 | + | 5.87785i | 0.566425 | + | 0.411532i | ||||
\(205\) | −6.85410 | + | 4.97980i | −0.478711 | + | 0.347804i | ||||
\(206\) | −15.2345 | + | 7.76237i | −1.06144 | + | 0.540830i | ||||
\(207\) | 3.80423 | − | 2.76393i | 0.264412 | − | 0.192107i | ||||
\(208\) | −1.70820 | + | 0.555029i | −0.118443 | + | 0.0384843i | ||||
\(209\) | 29.2705 | − | 9.51057i | 2.02468 | − | 0.657860i | ||||
\(210\) | −1.48131 | + | 0.754763i | −0.102220 | + | 0.0520836i | ||||
\(211\) | 5.41641i | 0.372881i | 0.982466 | + | 0.186440i | \(0.0596951\pi\) | ||||
−0.982466 | + | 0.186440i | \(0.940305\pi\) | |||||||
\(212\) | 18.4661 | 1.26826 | ||||||||
\(213\) | −19.3713 | − | 6.29412i | −1.32730 | − | 0.431266i | ||||
\(214\) | −1.58090 | − | 9.98141i | −0.108068 | − | 0.682315i | ||||
\(215\) | −3.44095 | + | 2.50000i | −0.234671 | + | 0.170499i | ||||
\(216\) | 21.3723 | + | 21.3723i | 1.45420 | + | 1.45420i | ||||
\(217\) | −0.781153 | + | 1.05706i | −0.0530281 | + | 0.0717577i | ||||
\(218\) | −15.1803 | + | 15.1803i | −1.02814 | + | 1.02814i | ||||
\(219\) | −3.44095 | − | 4.73607i | −0.232518 | − | 0.320034i | ||||
\(220\) | 11.7082 | − | 16.1150i | 0.789367 | − | 1.08647i | ||||
\(221\) | 0.225425 | − | 0.693786i | 0.0151637 | − | 0.0466691i | ||||
\(222\) | −28.4164 | − | 28.4164i | −1.90718 | − | 1.90718i | ||||
\(223\) | −2.17963 | −0.145959 | −0.0729793 | − | 0.997333i | \(-0.523251\pi\) | ||||
−0.0729793 | + | 0.997333i | \(0.523251\pi\) | |||||||
\(224\) | 1.18985 | − | 0.606260i | 0.0795003 | − | 0.0405074i | ||||
\(225\) | −4.76393 | − | 14.6619i | −0.317595 | − | 0.977458i | ||||
\(226\) | 10.7891 | + | 5.49734i | 0.717683 | + | 0.365678i | ||||
\(227\) | −13.4005 | − | 18.4443i | −0.889426 | − | 1.22419i | −0.973720 | − | 0.227748i | \(-0.926864\pi\) |
0.0842944 | − | 0.996441i | \(-0.473136\pi\) | |||||||
\(228\) | 9.51057 | − | 29.2705i | 0.629853 | − | 1.93849i | ||||
\(229\) | −6.90983 | − | 9.51057i | −0.456614 | − | 0.628476i | 0.517188 | − | 0.855872i | \(-0.326979\pi\) |
−0.973802 | + | 0.227396i | \(0.926979\pi\) | |||||||
\(230\) | −1.64204 | + | 0.260074i | −0.108273 | + | 0.0171487i | ||||
\(231\) | −4.25325 | + | 1.38197i | −0.279844 | + | 0.0909267i | ||||
\(232\) | −20.4797 | + | 3.24367i | −1.34456 | + | 0.212958i | ||||
\(233\) | −1.07295 | − | 0.779543i | −0.0702912 | − | 0.0510696i | 0.552085 | − | 0.833788i | \(-0.313832\pi\) |
−0.622376 | + | 0.782718i | \(0.713832\pi\) | |||||||
\(234\) | 1.86588 | − | 3.66199i | 0.121976 | − | 0.239392i | ||||
\(235\) | −5.34307 | + | 7.35410i | −0.348543 | + | 0.479729i | ||||
\(236\) | 8.85410 | − | 6.43288i | 0.576353 | − | 0.418745i | ||||
\(237\) | 6.38197 | − | 19.6417i | 0.414553 | − | 1.27586i | ||||
\(238\) | −0.0848458 | + | 0.535696i | −0.00549974 | + | 0.0347240i | ||||
\(239\) | 7.95148 | + | 24.4721i | 0.514338 | + | 1.58297i | 0.784482 | + | 0.620151i | \(0.212929\pi\) |
−0.270144 | + | 0.962820i | \(0.587071\pi\) | |||||||
\(240\) | −6.15537 | − | 18.9443i | −0.397327 | − | 1.22285i | ||||
\(241\) | 0.690983 | + | 0.224514i | 0.0445101 | + | 0.0144622i | 0.331187 | − | 0.943565i | \(-0.392551\pi\) |
−0.286677 | + | 0.958027i | \(0.592551\pi\) | |||||||
\(242\) | 26.8885 | − | 26.8885i | 1.72846 | − | 1.72846i | ||||
\(243\) | −9.40456 | −0.603303 | ||||||||
\(244\) | 0.555029 | − | 1.70820i | 0.0355321 | − | 0.109357i | ||||
\(245\) | 9.09017 | + | 6.60440i | 0.580750 | + | 0.421939i | ||||
\(246\) | −3.56514 | + | 22.5094i | −0.227305 | + | 1.43515i | ||||
\(247\) | −2.24514 | −0.142855 | ||||||||
\(248\) | −11.0450 | − | 11.2253i | −0.701358 | − | 0.712809i | ||||
\(249\) | −20.3262 | −1.28812 | ||||||||
\(250\) | −2.64245 | + | 16.6838i | −0.167123 | + | 1.05518i | ||||
\(251\) | 3.07768 | + | 2.23607i | 0.194262 | + | 0.141139i | 0.680664 | − | 0.732595i | \(-0.261691\pi\) |
−0.486403 | + | 0.873735i | \(0.661691\pi\) | |||||||
\(252\) | −0.944272 | + | 2.90617i | −0.0594835 | + | 0.183072i | ||||
\(253\) | −4.47214 | −0.281161 | ||||||||
\(254\) | −10.6861 | + | 10.6861i | −0.670508 | + | 0.670508i | ||||
\(255\) | 7.69421 | + | 2.50000i | 0.481830 | + | 0.156556i | ||||
\(256\) | 4.94427 | + | 15.2169i | 0.309017 | + | 0.951057i | ||||
\(257\) | −3.38197 | − | 10.4086i | −0.210961 | − | 0.649272i | −0.999416 | − | 0.0341788i | \(-0.989118\pi\) |
0.788454 | − | 0.615093i | \(-0.210882\pi\) | |||||||
\(258\) | −1.78980 | + | 11.3004i | −0.111428 | + | 0.703530i | ||||
\(259\) | 0.673542 | − | 2.07295i | 0.0418519 | − | 0.128807i | ||||
\(260\) | −1.17557 | + | 0.854102i | −0.0729058 | + | 0.0529692i | ||||
\(261\) | 27.8885 | − | 38.3853i | 1.72626 | − | 2.37599i | ||||
\(262\) | −7.79815 | + | 15.3047i | −0.481771 | + | 0.945529i | ||||
\(263\) | −21.3193 | − | 15.4894i | −1.31460 | − | 0.955115i | −0.999983 | − | 0.00589693i | \(-0.998123\pi\) |
−0.314620 | − | 0.949218i | \(-0.601877\pi\) | |||||||
\(264\) | −8.38215 | − | 52.9228i | −0.515886 | − | 3.25717i | ||||
\(265\) | 14.2082 | − | 4.61653i | 0.872803 | − | 0.283591i | ||||
\(266\) | 1.64870 | − | 0.261129i | 0.101088 | − | 0.0160108i | ||||
\(267\) | −4.44501 | − | 6.11803i | −0.272030 | − | 0.374418i | ||||
\(268\) | 3.56231 | − | 10.9637i | 0.217602 | − | 0.669712i | ||||
\(269\) | −14.4336 | − | 19.8662i | −0.880034 | − | 1.21126i | −0.976412 | − | 0.215918i | \(-0.930726\pi\) |
0.0963776 | − | 0.995345i | \(-0.469274\pi\) | |||||||
\(270\) | 21.7873 | + | 11.1012i | 1.32594 | + | 0.675598i | ||||
\(271\) | −1.81636 | − | 5.59017i | −0.110336 | − | 0.339579i | 0.880610 | − | 0.473842i | \(-0.157133\pi\) |
−0.990946 | + | 0.134263i | \(0.957133\pi\) | |||||||
\(272\) | −6.18034 | − | 2.00811i | −0.374738 | − | 0.121760i | ||||
\(273\) | 0.326238 | 0.0197448 | ||||||||
\(274\) | −9.95959 | − | 9.95959i | −0.601681 | − | 0.601681i | ||||
\(275\) | −4.53077 | + | 13.9443i | −0.273216 | + | 0.840871i | ||||
\(276\) | −2.62866 | + | 3.61803i | −0.158226 | + | 0.217780i | ||||
\(277\) | −0.263932 | − | 0.363271i | −0.0158581 | − | 0.0218269i | 0.801014 | − | 0.598645i | \(-0.204294\pi\) |
−0.816872 | + | 0.576818i | \(0.804294\pi\) | |||||||
\(278\) | 4.97980 | − | 4.97980i | 0.298668 | − | 0.298668i | ||||
\(279\) | 36.0341 | + | 0.291796i | 2.15731 | + | 0.0174694i | ||||
\(280\) | 0.763932 | − | 0.763932i | 0.0456537 | − | 0.0456537i | ||||
\(281\) | −12.8262 | + | 9.31881i | −0.765149 | + | 0.555913i | −0.900485 | − | 0.434886i | \(-0.856789\pi\) |
0.135336 | + | 0.990800i | \(0.456789\pi\) | |||||||
\(282\) | 3.82521 | + | 24.1515i | 0.227788 | + | 1.43820i | ||||
\(283\) | 2.76741 | + | 0.899187i | 0.164506 | + | 0.0534511i | 0.390112 | − | 0.920767i | \(-0.372436\pi\) |
−0.225606 | + | 0.974219i | \(0.572436\pi\) | |||||||
\(284\) | 13.2361 | 0.785416 | ||||||||
\(285\) | − | 24.8990i | − | 1.47489i | ||||||
\(286\) | −3.48276 | + | 1.77455i | −0.205940 | + | 0.104932i | ||||
\(287\) | −1.17557 | + | 0.381966i | −0.0693917 | + | 0.0225467i | ||||
\(288\) | −32.6215 | − | 16.6215i | −1.92224 | − | 0.979429i | ||||
\(289\) | −11.6180 | + | 8.44100i | −0.683414 | + | 0.496529i | ||||
\(290\) | −14.9466 | + | 7.61568i | −0.877696 | + | 0.447208i | ||||
\(291\) | 3.66547 | − | 2.66312i | 0.214874 | − | 0.156115i | ||||
\(292\) | 3.07768 | + | 2.23607i | 0.180108 | + | 0.130856i | ||||
\(293\) | 5.01722 | + | 15.4414i | 0.293109 | + | 0.902097i | 0.983850 | + | 0.178995i | \(0.0572846\pi\) |
−0.690741 | + | 0.723102i | \(0.742715\pi\) | |||||||
\(294\) | 29.8528 | − | 4.72822i | 1.74105 | − | 0.275756i | ||||
\(295\) | 5.20431 | − | 7.16312i | 0.303007 | − | 0.417053i | ||||
\(296\) | 23.2686 | + | 11.8560i | 1.35246 | + | 0.689114i | ||||
\(297\) | 53.2148 | + | 38.6628i | 3.08783 | + | 2.24344i | ||||
\(298\) | −0.917204 | + | 5.79100i | −0.0531322 | + | 0.335464i | ||||
\(299\) | 0.310271 | + | 0.100813i | 0.0179434 | + | 0.00583017i | ||||
\(300\) | 8.61803 | + | 11.8617i | 0.497562 | + | 0.684836i | ||||
\(301\) | −0.590170 | + | 0.191758i | −0.0340168 | + | 0.0110527i | ||||
\(302\) | 10.8524 | + | 5.52957i | 0.624485 | + | 0.318191i | ||||
\(303\) | −8.50651 | + | 26.1803i | −0.488686 | + | 1.50402i | ||||
\(304\) | 20.0000i | 1.14708i | ||||||||
\(305\) | − | 1.45309i | − | 0.0832034i | ||||||
\(306\) | 13.2492 | − | 6.75080i | 0.757406 | − | 0.385918i | ||||
\(307\) | 11.8820 | − | 16.3541i | 0.678139 | − | 0.933378i | −0.321771 | − | 0.946818i | \(-0.604278\pi\) |
0.999910 | + | 0.0134396i | \(0.00427810\pi\) | |||||||
\(308\) | 2.35114 | − | 1.70820i | 0.133969 | − | 0.0973340i | ||||
\(309\) | 37.2097i | 2.11679i | ||||||||
\(310\) | −11.3046 | − | 5.87576i | −0.642057 | − | 0.333721i | ||||
\(311\) | − | 17.2361i | − | 0.977368i | −0.872461 | − | 0.488684i | \(-0.837477\pi\) | ||
0.872461 | − | 0.488684i | \(-0.162523\pi\) | |||||||
\(312\) | −0.611469 | + | 3.86067i | −0.0346176 | + | 0.218567i | ||||
\(313\) | 12.2361 | − | 16.8415i | 0.691623 | − | 0.951938i | −0.308376 | − | 0.951264i | \(-0.599786\pi\) |
1.00000 | 0.000673572i | \(-0.000214405\pi\) | ||||||||
\(314\) | −10.8789 | − | 21.3510i | −0.613931 | − | 1.20491i | ||||
\(315\) | 2.47214i | 0.139289i | ||||||||
\(316\) | 13.4208i | 0.754979i | ||||||||
\(317\) | −5.76393 | + | 17.7396i | −0.323735 | + | 0.996353i | 0.648274 | + | 0.761407i | \(0.275491\pi\) |
−0.972009 | + | 0.234946i | \(0.924509\pi\) | |||||||
\(318\) | 18.2445 | − | 35.8068i | 1.02310 | − | 2.00794i | ||||
\(319\) | −42.9161 | + | 13.9443i | −2.40284 | + | 0.780729i | ||||
\(320\) | 7.60845 | + | 10.4721i | 0.425325 | + | 0.585410i | ||||
\(321\) | −20.9164 | − | 6.79615i | −1.16744 | − | 0.379324i | ||||
\(322\) | −0.239570 | − | 0.0379442i | −0.0133507 | − | 0.00211455i | ||||
\(323\) | −6.57164 | − | 4.77458i | −0.365656 | − | 0.265664i | ||||
\(324\) | 25.6255 | − | 8.32624i | 1.42364 | − | 0.462569i | ||||
\(325\) | 0.628677 | − | 0.865300i | 0.0348727 | − | 0.0479982i | ||||
\(326\) | 0.454792 | + | 2.87145i | 0.0251886 | + | 0.159035i | ||||
\(327\) | 14.4374 | + | 44.4336i | 0.798388 | + | 2.45719i | ||||
\(328\) | −2.31677 | − | 14.6275i | −0.127922 | − | 0.807669i | ||||
\(329\) | −1.07295 | + | 0.779543i | −0.0591536 | + | 0.0429776i | ||||
\(330\) | −19.6801 | − | 38.6244i | −1.08335 | − | 2.12620i | ||||
\(331\) | 6.82891 | − | 4.96149i | 0.375351 | − | 0.272708i | −0.384075 | − | 0.923302i | \(-0.625480\pi\) |
0.759426 | + | 0.650593i | \(0.225480\pi\) | |||||||
\(332\) | 12.5623 | − | 4.08174i | 0.689446 | − | 0.224015i | ||||
\(333\) | −56.8328 | + | 18.4661i | −3.11442 | + | 1.01194i | ||||
\(334\) | 13.3655 | + | 26.2313i | 0.731327 | + | 1.43531i | ||||
\(335\) | − | 9.32624i | − | 0.509547i | ||||||
\(336\) | − | 2.90617i | − | 0.158545i | ||||||
\(337\) | 20.5902 | + | 6.69015i | 1.12162 | + | 0.364436i | 0.810385 | − | 0.585898i | \(-0.199258\pi\) |
0.311233 | + | 0.950334i | \(0.399258\pi\) | |||||||
\(338\) | −17.8768 | + | 2.83141i | −0.972370 | + | 0.154008i | ||||
\(339\) | 21.3193 | − | 15.4894i | 1.15790 | − | 0.841266i | ||||
\(340\) | −5.25731 | −0.285118 | ||||||||
\(341\) | −27.5623 | − | 20.3682i | −1.49258 | − | 1.10300i | ||||
\(342\) | −32.3607 | − | 32.3607i | −1.74987 | − | 1.74987i | ||||
\(343\) | 1.93487 | + | 2.66312i | 0.104473 | + | 0.143795i | ||||
\(344\) | −1.16308 | − | 7.34342i | −0.0627093 | − | 0.395931i | ||||
\(345\) | −1.11803 | + | 3.44095i | −0.0601929 | + | 0.185255i | ||||
\(346\) | −13.0344 | + | 13.0344i | −0.700736 | + | 0.700736i | ||||
\(347\) | 10.3431 | 0.555247 | 0.277624 | − | 0.960690i | \(-0.410453\pi\) | ||||
0.277624 | + | 0.960690i | \(0.410453\pi\) | |||||||
\(348\) | −13.9443 | + | 42.9161i | −0.747491 | + | 2.30054i | ||||
\(349\) | 1.21885 | + | 3.75123i | 0.0652434 | + | 0.200798i | 0.978364 | − | 0.206891i | \(-0.0663346\pi\) |
−0.913121 | + | 0.407690i | \(0.866335\pi\) | |||||||
\(350\) | −0.361023 | + | 0.708547i | −0.0192975 | + | 0.0378734i | ||||
\(351\) | −2.82041 | − | 3.88197i | −0.150543 | − | 0.207204i | ||||
\(352\) | 15.8080 | + | 31.0249i | 0.842567 | + | 1.65363i | ||||
\(353\) | 6.64590 | + | 9.14729i | 0.353725 | + | 0.486861i | 0.948387 | − | 0.317115i | \(-0.102714\pi\) |
−0.594662 | + | 0.803976i | \(0.702714\pi\) | |||||||
\(354\) | −3.72587 | − | 23.5242i | −0.198028 | − | 1.25030i | ||||
\(355\) | 10.1841 | − | 3.30902i | 0.540516 | − | 0.175624i | ||||
\(356\) | 3.97574 | + | 2.88854i | 0.210714 | + | 0.153093i | ||||
\(357\) | 0.954915 | + | 0.693786i | 0.0505395 | + | 0.0367191i | ||||
\(358\) | 5.35941 | + | 2.73076i | 0.283254 | + | 0.144325i | ||||
\(359\) | 2.82041 | − | 3.88197i | 0.148856 | − | 0.204882i | −0.728077 | − | 0.685495i | \(-0.759586\pi\) |
0.876933 | + | 0.480613i | \(0.159586\pi\) | |||||||
\(360\) | −29.2550 | − | 4.63354i | −1.54187 | − | 0.244209i | ||||
\(361\) | −1.85410 | + | 5.70634i | −0.0975843 | + | 0.300334i | ||||
\(362\) | 1.01484 | + | 0.160734i | 0.0533386 | + | 0.00844801i | ||||
\(363\) | −25.5725 | − | 78.7041i | −1.34221 | − | 4.13090i | ||||
\(364\) | −0.201626 | + | 0.0655123i | −0.0105681 | + | 0.00343378i | ||||
\(365\) | 2.92705 | + | 0.951057i | 0.153209 | + | 0.0497806i | ||||
\(366\) | −2.76393 | − | 2.76393i | −0.144473 | − | 0.144473i | ||||
\(367\) | −10.4086 | −0.543326 | −0.271663 | − | 0.962392i | \(-0.587574\pi\) | ||||
−0.271663 | + | 0.962392i | \(0.587574\pi\) | |||||||
\(368\) | 0.898056 | − | 2.76393i | 0.0468144 | − | 0.144080i | ||||
\(369\) | 27.4164 | + | 19.9192i | 1.42724 | + | 1.03695i | ||||
\(370\) | 20.8674 | + | 3.30507i | 1.08484 | + | 0.171822i | ||||
\(371\) | 2.17963 | 0.113161 | ||||||||
\(372\) | −32.6789 | + | 10.3262i | −1.69432 | + | 0.535390i | ||||
\(373\) | 14.4164 | 0.746453 | 0.373227 | − | 0.927740i | \(-0.378251\pi\) | ||||
0.373227 | + | 0.927740i | \(0.378251\pi\) | |||||||
\(374\) | −13.9680 | − | 2.21232i | −0.722269 | − | 0.114396i | ||||
\(375\) | 29.7400 | + | 21.6074i | 1.53577 | + | 1.11580i | ||||
\(376\) | −7.21400 | − | 14.1583i | −0.372034 | − | 0.730157i | ||||
\(377\) | 3.29180 | 0.169536 | ||||||||
\(378\) | 2.52265 | + | 2.52265i | 0.129751 | + | 0.129751i | ||||
\(379\) | −24.5685 | − | 7.98278i | −1.26200 | − | 0.410048i | −0.399792 | − | 0.916606i | \(-0.630918\pi\) |
−0.862206 | + | 0.506558i | \(0.830918\pi\) | |||||||
\(380\) | 5.00000 | + | 15.3884i | 0.256495 | + | 0.789409i | ||||
\(381\) | 10.1631 | + | 31.2789i | 0.520672 | + | 1.60246i | ||||
\(382\) | 0.455690 | + | 0.0721742i | 0.0233151 | + | 0.00369275i | ||||
\(383\) | 0.971301 | − | 2.98936i | 0.0496312 | − | 0.152749i | −0.923169 | − | 0.384393i | \(-0.874411\pi\) |
0.972801 | + | 0.231644i | \(0.0744106\pi\) | |||||||
\(384\) | 34.3913 | + | 5.44705i | 1.75502 | + | 0.277969i | ||||
\(385\) | 1.38197 | − | 1.90211i | 0.0704315 | − | 0.0969407i | ||||
\(386\) | 10.2644 | + | 5.22999i | 0.522446 | + | 0.266199i | ||||
\(387\) | 13.7638 | + | 10.0000i | 0.699654 | + | 0.508329i | ||||
\(388\) | −1.73060 | + | 2.38197i | −0.0878579 | + | 0.120926i | ||||
\(389\) | −26.8713 | + | 8.73102i | −1.36243 | + | 0.442680i | −0.896854 | − | 0.442327i | \(-0.854153\pi\) |
−0.465576 | + | 0.885008i | \(0.654153\pi\) | |||||||
\(390\) | 0.494689 | + | 3.12334i | 0.0250496 | + | 0.158157i | ||||
\(391\) | 0.693786 | + | 0.954915i | 0.0350863 | + | 0.0482921i | ||||
\(392\) | −17.5006 | + | 8.91699i | −0.883913 | + | 0.450376i | ||||
\(393\) | 21.9721 | + | 30.2421i | 1.10835 | + | 1.52551i | ||||
\(394\) | −11.1693 | + | 21.9209i | −0.562699 | + | 1.10436i | ||||
\(395\) | 3.35520 | + | 10.3262i | 0.168818 | + | 0.519569i | ||||
\(396\) | −75.7771 | − | 24.6215i | −3.80794 | − | 1.23728i | ||||
\(397\) | −12.0000 | −0.602263 | −0.301131 | − | 0.953583i | \(-0.597364\pi\) | ||||
−0.301131 | + | 0.953583i | \(0.597364\pi\) | |||||||
\(398\) | −3.63271 | + | 3.63271i | −0.182091 | + | 0.182091i | ||||
\(399\) | 1.12257 | − | 3.45492i | 0.0561988 | − | 0.172962i | ||||
\(400\) | −7.70820 | − | 5.60034i | −0.385410 | − | 0.280017i | ||||
\(401\) | −5.75329 | − | 7.91872i | −0.287306 | − | 0.395442i | 0.640831 | − | 0.767682i | \(-0.278590\pi\) |
−0.928137 | + | 0.372240i | \(0.878590\pi\) | |||||||
\(402\) | −17.7396 | − | 17.7396i | −0.884769 | − | 0.884769i | ||||
\(403\) | 1.45309 | + | 2.03444i | 0.0723833 | + | 0.101343i | ||||
\(404\) | − | 17.8885i | − | 0.889988i | ||||||
\(405\) | 17.6353 | − | 12.8128i | 0.876303 | − | 0.636671i | ||||
\(406\) | −2.41731 | + | 0.382864i | −0.119969 | + | 0.0190012i | ||||
\(407\) | 54.0512 | + | 17.5623i | 2.67922 | + | 0.870531i | ||||
\(408\) | −10.0000 | + | 10.0000i | −0.495074 | + | 0.495074i | ||||
\(409\) | − | 36.0341i | − | 1.78177i | −0.454225 | − | 0.890887i | \(-0.650084\pi\) | ||
0.454225 | − | 0.890887i | \(-0.349916\pi\) | |||||||
\(410\) | −5.43945 | − | 10.6755i | −0.268635 | − | 0.527226i | ||||
\(411\) | −29.1522 | + | 9.47214i | −1.43797 | + | 0.467226i | ||||
\(412\) | −7.47214 | − | 22.9969i | −0.368126 | − | 1.13297i | ||||
\(413\) | 1.04508 | − | 0.759299i | 0.0514253 | − | 0.0373626i | ||||
\(414\) | 3.01905 | + | 5.92522i | 0.148378 | + | 0.291209i | ||||
\(415\) | 8.64527 | − | 6.28115i | 0.424379 | − | 0.308330i | ||||
\(416\) | −0.397357 | − | 2.50881i | −0.0194820 | − | 0.123005i | ||||
\(417\) | −4.73607 | − | 14.5761i | −0.231926 | − | 0.713796i | ||||
\(418\) | 6.80881 | + | 42.9892i | 0.333030 | + | 2.10267i | ||||
\(419\) | −11.8617 | + | 16.3262i | −0.579482 | + | 0.797589i | −0.993638 | − | 0.112617i | \(-0.964077\pi\) |
0.414156 | + | 0.910206i | \(0.364077\pi\) | |||||||
\(420\) | −0.726543 | − | 2.23607i | −0.0354516 | − | 0.109109i | ||||
\(421\) | −22.3262 | − | 16.2210i | −1.08811 | − | 0.790561i | −0.109034 | − | 0.994038i | \(-0.534776\pi\) |
−0.979080 | + | 0.203477i | \(0.934776\pi\) | |||||||
\(422\) | −7.56565 | − | 1.19828i | −0.368290 | − | 0.0583314i | ||||
\(423\) | 34.5811 | + | 11.2361i | 1.68139 | + | 0.546316i | ||||
\(424\) | −4.08529 | + | 25.7935i | −0.198399 | + | 1.25264i | ||||
\(425\) | 3.68034 | − | 1.19581i | 0.178523 | − | 0.0580055i | ||||
\(426\) | 13.0772 | − | 25.6654i | 0.633592 | − | 1.24349i | ||||
\(427\) | 0.0655123 | − | 0.201626i | 0.00317036 | − | 0.00975737i | ||||
\(428\) | 14.2918 | 0.690820 | ||||||||
\(429\) | 8.50651i | 0.410698i | ||||||||
\(430\) | −2.73076 | − | 5.35941i | −0.131689 | − | 0.258454i | ||||
\(431\) | −7.71445 | + | 10.6180i | −0.371592 | + | 0.511453i | −0.953333 | − | 0.301922i | \(-0.902372\pi\) |
0.581741 | + | 0.813374i | \(0.302372\pi\) | |||||||
\(432\) | −34.5811 | + | 25.1246i | −1.66378 | + | 1.20881i | ||||
\(433\) | 28.0827i | 1.34957i | 0.738016 | + | 0.674783i | \(0.235763\pi\) | ||||
−0.738016 | + | 0.674783i | \(0.764237\pi\) | |||||||
\(434\) | −1.30368 | − | 1.32497i | −0.0625789 | − | 0.0636006i | ||||
\(435\) | 36.5066i | 1.75036i | ||||||||
\(436\) | −17.8456 | − | 24.5623i | −0.854647 | − | 1.17632i | ||||
\(437\) | 2.13525 | − | 2.93893i | 0.102143 | − | 0.140588i | ||||
\(438\) | 7.37660 | − | 3.75856i | 0.352468 | − | 0.179591i | ||||
\(439\) | 4.52786i | 0.216103i | 0.994145 | + | 0.108052i | \(0.0344612\pi\) | ||||
−0.994145 | + | 0.108052i | \(0.965539\pi\) | |||||||
\(440\) | 19.9192 | + | 19.9192i | 0.949610 | + | 0.949610i | ||||
\(441\) | 13.8885 | − | 42.7445i | 0.661359 | − | 2.03545i | ||||
\(442\) | 0.919211 | + | 0.468362i | 0.0437224 | + | 0.0222777i | ||||
\(443\) | 8.67802 | − | 2.81966i | 0.412305 | − | 0.133966i | −0.0955174 | − | 0.995428i | \(-0.530451\pi\) |
0.507823 | + | 0.861462i | \(0.330451\pi\) | |||||||
\(444\) | 45.9787 | − | 33.4055i | 2.18205 | − | 1.58535i | ||||
\(445\) | 3.78115 | + | 1.22857i | 0.179244 | + | 0.0582399i | ||||
\(446\) | 0.482203 | − | 3.04451i | 0.0228330 | − | 0.144162i | ||||
\(447\) | 10.3229 | + | 7.50000i | 0.488255 | + | 0.354738i | ||||
\(448\) | 0.583592 | + | 1.79611i | 0.0275721 | + | 0.0848583i | ||||
\(449\) | −14.5967 | + | 20.0907i | −0.688863 | + | 0.948139i | −0.999998 | − | 0.00222718i | \(-0.999291\pi\) |
0.311134 | + | 0.950366i | \(0.399291\pi\) | |||||||
\(450\) | 21.5337 | − | 3.41060i | 1.01511 | − | 0.160777i | ||||
\(451\) | −9.95959 | − | 30.6525i | −0.468979 | − | 1.44337i | ||||
\(452\) | −10.0656 | + | 13.8541i | −0.473446 | + | 0.651642i | ||||
\(453\) | 21.4443 | − | 15.5802i | 1.00754 | − | 0.732021i | ||||
\(454\) | 28.7276 | − | 14.6375i | 1.34825 | − | 0.686970i | ||||
\(455\) | −0.138757 | + | 0.100813i | −0.00650504 | + | 0.00472619i | ||||
\(456\) | 38.7811 | + | 19.7599i | 1.81609 | + | 0.925344i | ||||
\(457\) | 22.8262 | − | 7.41669i | 1.06777 | − | 0.346938i | 0.278149 | − | 0.960538i | \(-0.410279\pi\) |
0.789617 | + | 0.613600i | \(0.210279\pi\) | |||||||
\(458\) | 14.8131 | − | 7.54763i | 0.692168 | − | 0.352677i | ||||
\(459\) | − | 17.3607i | − | 0.810327i | ||||||
\(460\) | − | 2.35114i | − | 0.109623i | ||||||
\(461\) | 26.4058 | + | 8.57975i | 1.22984 | + | 0.399599i | 0.850656 | − | 0.525723i | \(-0.176205\pi\) |
0.379183 | + | 0.925322i | \(0.376205\pi\) | |||||||
\(462\) | −0.989378 | − | 6.24669i | −0.0460301 | − | 0.290622i | ||||
\(463\) | 19.9192 | − | 14.4721i | 0.925723 | − | 0.672577i | −0.0192188 | − | 0.999815i | \(-0.506118\pi\) |
0.944942 | + | 0.327238i | \(0.106118\pi\) | |||||||
\(464\) | − | 29.3238i | − | 1.36132i | ||||||
\(465\) | −22.5623 | + | 16.1150i | −1.04630 | + | 0.747313i | ||||
\(466\) | 1.32624 | − | 1.32624i | 0.0614368 | − | 0.0614368i | ||||
\(467\) | 11.3799 | + | 15.6631i | 0.526600 | + | 0.724803i | 0.986608 | − | 0.163112i | \(-0.0521533\pi\) |
−0.460008 | + | 0.887915i | \(0.652153\pi\) | |||||||
\(468\) | 4.70228 | + | 3.41641i | 0.217363 | + | 0.157924i | ||||
\(469\) | 0.420473 | − | 1.29408i | 0.0194156 | − | 0.0597552i | ||||
\(470\) | −9.09017 | − | 9.09017i | −0.419298 | − | 0.419298i | ||||
\(471\) | −52.1491 | −2.40290 | ||||||||
\(472\) | 7.02666 | + | 13.7906i | 0.323428 | + | 0.634763i | ||||
\(473\) | −5.00000 | − | 15.3884i | −0.229900 | − | 0.707560i | ||||
\(474\) | 26.0236 | + | 13.2597i | 1.19531 | + | 0.609038i | ||||
\(475\) | −7.00042 | − | 9.63525i | −0.321201 | − | 0.442096i | ||||
\(476\) | −0.729490 | − | 0.237026i | −0.0334361 | − | 0.0108641i | ||||
\(477\) | −35.1246 | − | 48.3449i | −1.60825 | − | 2.21356i | ||||
\(478\) | −35.9419 | + | 5.69263i | −1.64394 | + | 0.260375i | ||||
\(479\) | 38.2138 | − | 12.4164i | 1.74603 | − | 0.567320i | 0.750425 | − | 0.660955i | \(-0.229849\pi\) |
0.995607 | + | 0.0936351i | \(0.0298487\pi\) | |||||||
\(480\) | 27.8232 | − | 4.40676i | 1.26995 | − | 0.201140i | ||||
\(481\) | −3.35410 | − | 2.43690i | −0.152934 | − | 0.111113i | ||||
\(482\) | −0.466469 | + | 0.915497i | −0.0212471 | + | 0.0416997i | ||||
\(483\) | −0.310271 | + | 0.427051i | −0.0141178 | + | 0.0194315i | ||||
\(484\) | 31.6094 | + | 43.5066i | 1.43679 | + | 1.97757i | ||||
\(485\) | −0.736068 | + | 2.26538i | −0.0334231 | + | 0.102866i | ||||
\(486\) | 2.08059 | − | 13.1363i | 0.0943774 | − | 0.595875i | ||||
\(487\) | −6.01661 | − | 18.5172i | −0.272639 | − | 0.839095i | −0.989835 | − | 0.142224i | \(-0.954575\pi\) |
0.717196 | − | 0.696872i | \(-0.245425\pi\) | |||||||
\(488\) | 2.26323 | + | 1.15317i | 0.102452 | + | 0.0522018i | ||||
\(489\) | 6.01722 | + | 1.95511i | 0.272108 | + | 0.0884133i | ||||
\(490\) | −11.2361 | + | 11.2361i | −0.507594 | + | 0.507594i | ||||
\(491\) | −11.0697 | −0.499566 | −0.249783 | − | 0.968302i | \(-0.580359\pi\) | ||||
−0.249783 | + | 0.968302i | \(0.580359\pi\) | |||||||
\(492\) | −30.6525 | − | 9.95959i | −1.38192 | − | 0.449013i | ||||
\(493\) | 9.63525 | + | 7.00042i | 0.433950 | + | 0.315283i | ||||
\(494\) | 0.496696 | − | 3.13602i | 0.0223474 | − | 0.141096i | ||||
\(495\) | −64.4598 | −2.89725 | ||||||||
\(496\) | 18.1231 | − | 12.9443i | 0.813750 | − | 0.581215i | ||||
\(497\) | 1.56231 | 0.0700790 | ||||||||
\(498\) | 4.49681 | − | 28.3917i | 0.201507 | − | 1.27226i | ||||
\(499\) | −27.0256 | − | 19.6353i | −1.20983 | − | 0.878995i | −0.214617 | − | 0.976698i | \(-0.568850\pi\) |
−0.995216 | + | 0.0977036i | \(0.968850\pi\) | |||||||
\(500\) | −22.7194 | − | 7.38197i | −1.01604 | − | 0.330132i | ||||
\(501\) | 64.0689 | 2.86239 | ||||||||
\(502\) | −3.80423 | + | 3.80423i | −0.169791 | + | 0.169791i | ||||
\(503\) | −14.9066 | − | 4.84346i | −0.664654 | − | 0.215959i | −0.0427896 | − | 0.999084i | \(-0.513624\pi\) |
−0.621864 | + | 0.783125i | \(0.713624\pi\) | |||||||
\(504\) | −3.85044 | − | 1.96190i | −0.171512 | − | 0.0873899i | ||||
\(505\) | −4.47214 | − | 13.7638i | −0.199007 | − | 0.612482i | ||||
\(506\) | 0.989378 | − | 6.24669i | 0.0439832 | − | 0.277699i | ||||
\(507\) | −12.1720 | + | 37.4615i | −0.540576 | + | 1.66372i | ||||
\(508\) | −12.5623 | − | 17.2905i | −0.557362 | − | 0.767143i | ||||
\(509\) | −16.1180 | + | 22.1846i | −0.714419 | + | 0.983314i | 0.285271 | + | 0.958447i | \(0.407916\pi\) |
−0.999691 | + | 0.0248670i | \(0.992084\pi\) | |||||||
\(510\) | −5.19421 | + | 10.1942i | −0.230003 | + | 0.451407i | ||||
\(511\) | 0.363271 | + | 0.263932i | 0.0160702 | + | 0.0116757i | ||||
\(512\) | −22.3488 | + | 3.53971i | −0.987688 | + | 0.156434i | ||||
\(513\) | −50.8156 | + | 16.5110i | −2.24356 | + | 0.728978i | ||||
\(514\) | 15.2870 | − | 2.42122i | 0.674280 | − | 0.106795i | ||||
\(515\) | −11.4984 | − | 15.8262i | −0.506682 | − | 0.697387i | ||||
\(516\) | −15.3884 | − | 5.00000i | −0.677437 | − | 0.220113i | ||||
\(517\) | −20.3262 | − | 27.9767i | −0.893947 | − | 1.23041i | ||||
\(518\) | 2.74649 | + | 1.39941i | 0.120674 | + | 0.0614864i | ||||
\(519\) | 12.3965 | + | 38.1525i | 0.544146 | + | 1.67471i | ||||
\(520\) | −0.932938 | − | 1.83099i | −0.0409120 | − | 0.0802944i | ||||
\(521\) | −35.6525 | −1.56196 | −0.780982 | − | 0.624554i | \(-0.785281\pi\) | ||||
−0.780982 | + | 0.624554i | \(0.785281\pi\) | |||||||
\(522\) | 47.4468 | + | 47.4468i | 2.07669 | + | 2.07669i | ||||
\(523\) | 9.62908 | − | 29.6353i | 0.421050 | − | 1.29586i | −0.485676 | − | 0.874139i | \(-0.661426\pi\) |
0.906726 | − | 0.421720i | \(-0.138574\pi\) | |||||||
\(524\) | −19.6525 | − | 14.2784i | −0.858522 | − | 0.623753i | ||||
\(525\) | 1.01722 | + | 1.40008i | 0.0443952 | + | 0.0611047i | ||||
\(526\) | 26.3521 | − | 26.3521i | 1.14900 | − | 1.14900i | ||||
\(527\) | −0.0732450 | + | 9.04508i | −0.00319060 | + | 0.394010i | ||||
\(528\) | 75.7771 | 3.29777 | ||||||||
\(529\) | 18.1803 | − | 13.2088i | 0.790450 | − | 0.574295i | ||||
\(530\) | 3.30507 | + | 20.8674i | 0.143563 | + | 0.906421i | ||||
\(531\) | −33.6830 | − | 10.9443i | −1.46172 | − | 0.474941i | ||||
\(532\) | 2.36068i | 0.102348i | ||||||||
\(533\) | 2.35114i | 0.101839i | ||||||||
\(534\) | 9.52906 | − | 4.85530i | 0.412363 | − | 0.210109i | ||||
\(535\) | 10.9964 | − | 3.57295i | 0.475416 | − | 0.154472i | ||||
\(536\) | 14.5260 | + | 7.40134i | 0.627426 | + | 0.319689i | ||||
\(537\) | 10.5902 | − | 7.69421i | 0.457000 | − | 0.332030i | ||||
\(538\) | 30.9423 | − | 15.7659i | 1.33402 | − | 0.679716i | ||||
\(539\) | −34.5811 | + | 25.1246i | −1.48951 | + | 1.08219i | ||||
\(540\) | −20.3262 | + | 27.9767i | −0.874702 | + | 1.20392i | ||||
\(541\) | 6.38197 | + | 19.6417i | 0.274382 | + | 0.844461i | 0.989382 | + | 0.145337i | \(0.0464266\pi\) |
−0.715000 | + | 0.699124i | \(0.753573\pi\) | |||||||
\(542\) | 8.21020 | − | 1.30037i | 0.352658 | − | 0.0558556i | ||||
\(543\) | 1.31433 | − | 1.80902i | 0.0564032 | − | 0.0776323i | ||||
\(544\) | 4.17223 | − | 8.18845i | 0.178883 | − | 0.351077i | ||||
\(545\) | −19.8713 | − | 14.4374i | −0.851194 | − | 0.618429i | ||||
\(546\) | −0.0721742 | + | 0.455690i | −0.00308877 | + | 0.0195017i | ||||
\(547\) | −13.0373 | − | 4.23607i | −0.557434 | − | 0.181121i | 0.0167324 | − | 0.999860i | \(-0.494674\pi\) |
−0.574166 | + | 0.818739i | \(0.694674\pi\) | |||||||
\(548\) | 16.1150 | − | 11.7082i | 0.688397 | − | 0.500150i | ||||
\(549\) | −5.52786 | + | 1.79611i | −0.235923 | + | 0.0766562i | ||||
\(550\) | −18.4750 | − | 9.41350i | −0.787778 | − | 0.401393i | ||||
\(551\) | 11.3269 | − | 34.8607i | 0.482543 | − | 1.48511i | ||||
\(552\) | −4.47214 | − | 4.47214i | −0.190347 | − | 0.190347i | ||||
\(553\) | 1.58411i | 0.0673632i | ||||||||
\(554\) | 0.565808 | − | 0.288294i | 0.0240389 | − | 0.0122484i | ||||
\(555\) | 27.0256 | − | 37.1976i | 1.14717 | − | 1.57895i | ||||
\(556\) | 5.85410 | + | 8.05748i | 0.248269 | + | 0.341713i | ||||
\(557\) | − | 31.8869i | − | 1.35109i | −0.737318 | − | 0.675546i | \(-0.763908\pi\) | ||
0.737318 | − | 0.675546i | \(-0.236092\pi\) | |||||||
\(558\) | −8.37948 | + | 50.2680i | −0.354732 | + | 2.12802i | ||||
\(559\) | 1.18034i | 0.0499231i | ||||||||
\(560\) | 0.898056 | + | 1.23607i | 0.0379498 | + | 0.0522334i | ||||
\(561\) | −18.0902 | + | 24.8990i | −0.763768 | + | 1.05124i | ||||
\(562\) | −10.1790 | − | 19.9773i | −0.429374 | − | 0.842693i | ||||
\(563\) | 26.6869i | 1.12472i | 0.826893 | + | 0.562360i | \(0.190106\pi\) | ||||
−0.826893 | + | 0.562360i | \(0.809894\pi\) | |||||||
\(564\) | −34.5811 | −1.45613 | ||||||||
\(565\) | −4.28115 | + | 13.1760i | −0.180109 | + | 0.554320i | ||||
\(566\) | −1.86823 | + | 3.66660i | −0.0785274 | + | 0.154119i | ||||
\(567\) | 3.02468 | − | 0.982779i | 0.127025 | − | 0.0412728i | ||||
\(568\) | −2.92824 | + | 18.4882i | −0.122866 | + | 0.775746i | ||||
\(569\) | −23.6180 | − | 7.67396i | −0.990119 | − | 0.321709i | −0.231209 | − | 0.972904i | \(-0.574268\pi\) |
−0.758911 | + | 0.651195i | \(0.774268\pi\) | |||||||
\(570\) | 34.7790 | + | 5.50845i | 1.45673 | + | 0.230723i | ||||
\(571\) | 26.9399 | + | 19.5729i | 1.12740 | + | 0.819102i | 0.985314 | − | 0.170752i | \(-0.0546198\pi\) |
0.142084 | + | 0.989855i | \(0.454620\pi\) | |||||||
\(572\) | −1.70820 | − | 5.25731i | −0.0714236 | − | 0.219819i | ||||
\(573\) | 0.590170 | − | 0.812299i | 0.0246547 | − | 0.0339343i | ||||
\(574\) | −0.273457 | − | 1.72654i | −0.0114139 | − | 0.0720645i | ||||
\(575\) | 0.534785 | + | 1.64590i | 0.0223021 | + | 0.0686387i | ||||
\(576\) | 30.4338 | − | 41.8885i | 1.26808 | − | 1.74536i | ||||
\(577\) | 15.3992 | − | 11.1882i | 0.641077 | − | 0.465769i | −0.219143 | − | 0.975693i | \(-0.570326\pi\) |
0.860220 | + | 0.509923i | \(0.170326\pi\) | |||||||
\(578\) | −9.22012 | − | 18.0955i | −0.383507 | − | 0.752674i | ||||
\(579\) | 20.2825 | − | 14.7361i | 0.842910 | − | 0.612410i | ||||
\(580\) | −7.33094 | − | 22.5623i | −0.304401 | − | 0.936849i | ||||
\(581\) | 1.48278 | − | 0.481784i | 0.0615160 | − | 0.0199878i | ||||
\(582\) | 2.90893 | + | 5.70910i | 0.120579 | + | 0.236650i | ||||
\(583\) | 56.8328i | 2.35377i | ||||||||
\(584\) | −3.80423 | + | 3.80423i | −0.157420 | + | 0.157420i | ||||
\(585\) | 4.47214 | + | 1.45309i | 0.184900 | + | 0.0600777i | ||||
\(586\) | −22.6786 | + | 3.59193i | −0.936843 | + | 0.148381i | ||||
\(587\) | −10.5474 | + | 7.66312i | −0.435337 | + | 0.316291i | −0.783779 | − | 0.621039i | \(-0.786711\pi\) |
0.348442 | + | 0.937330i | \(0.386711\pi\) | |||||||
\(588\) | 42.7445i | 1.76276i | ||||||||
\(589\) | 26.5451 | − | 8.38800i | 1.09377 | − | 0.345621i | ||||
\(590\) | 8.85410 | + | 8.85410i | 0.364518 | + | 0.364518i | ||||
\(591\) | 31.4706 | + | 43.3156i | 1.29453 | + | 1.78177i | ||||
\(592\) | −21.7082 | + | 29.8788i | −0.892202 | + | 1.22801i | ||||
\(593\) | −1.85410 | + | 5.70634i | −0.0761388 | + | 0.234331i | −0.981881 | − | 0.189497i | \(-0.939314\pi\) |
0.905742 | + | 0.423829i | \(0.139314\pi\) | |||||||
\(594\) | −65.7771 | + | 65.7771i | −2.69887 | + | 2.69887i | ||||
\(595\) | −0.620541 | −0.0254397 | ||||||||
\(596\) | −7.88597 | − | 2.56231i | −0.323022 | − | 0.104956i | ||||
\(597\) | 3.45492 | + | 10.6331i | 0.141400 | + | 0.435185i | ||||
\(598\) | −0.209458 | + | 0.411084i | −0.00856536 | + | 0.0168105i | ||||
\(599\) | −21.8415 | − | 30.0623i | −0.892421 | − | 1.22831i | −0.972823 | − | 0.231550i | \(-0.925620\pi\) |
0.0804017 | − | 0.996763i | \(-0.474380\pi\) | |||||||
\(600\) | −18.4750 | + | 9.41350i | −0.754240 | + | 0.384305i | ||||
\(601\) | −24.1459 | − | 33.2340i | −0.984932 | − | 1.35564i | −0.934130 | − | 0.356933i | \(-0.883822\pi\) |
−0.0508019 | − | 0.998709i | \(-0.516178\pi\) | |||||||
\(602\) | −0.137283 | − | 0.866774i | −0.00559526 | − | 0.0353271i | ||||
\(603\) | −35.4791 | + | 11.5279i | −1.44482 | + | 0.469451i | ||||
\(604\) | −10.1246 | + | 13.9353i | −0.411965 | + | 0.567021i | ||||
\(605\) | 35.1976 | + | 25.5725i | 1.43098 | + | 1.03967i | ||||
\(606\) | −34.6868 | − | 17.6738i | −1.40906 | − | 0.717950i | ||||
\(607\) | −1.45309 | + | 2.00000i | −0.0589789 | + | 0.0811775i | −0.837488 | − | 0.546456i | \(-0.815976\pi\) |
0.778509 | + | 0.627634i | \(0.215976\pi\) | |||||||
\(608\) | −27.9360 | − | 4.42463i | −1.13296 | − | 0.179443i | ||||
\(609\) | −1.64590 | + | 5.06555i | −0.0666952 | + | 0.205267i | ||||
\(610\) | 2.02967 | + | 0.321469i | 0.0821790 | + | 0.0130159i | ||||
\(611\) | 0.779543 | + | 2.39919i | 0.0315369 | + | 0.0970607i | ||||
\(612\) | 6.49839 | + | 20.0000i | 0.262682 | + | 0.808452i | ||||
\(613\) | 36.7082 | + | 11.9272i | 1.48263 | + | 0.481736i | 0.934898 | − | 0.354918i | \(-0.115491\pi\) |
0.547733 | + | 0.836653i | \(0.315491\pi\) | |||||||
\(614\) | 20.2148 | + | 20.2148i | 0.815802 | + | 0.815802i | ||||
\(615\) | −26.0746 | −1.05143 | ||||||||
\(616\) | 1.86588 | + | 3.66199i | 0.0751783 | + | 0.147546i | ||||
\(617\) | 7.89919 | + | 5.73910i | 0.318009 | + | 0.231047i | 0.735326 | − | 0.677714i | \(-0.237029\pi\) |
−0.417316 | + | 0.908761i | \(0.637029\pi\) | |||||||
\(618\) | −51.9746 | − | 8.23197i | −2.09073 | − | 0.331138i | ||||
\(619\) | 43.0876 | 1.73184 | 0.865918 | − | 0.500186i | \(-0.166735\pi\) | ||||
0.865918 | + | 0.500186i | \(0.166735\pi\) | |||||||
\(620\) | 10.7082 | − | 14.4904i | 0.430052 | − | 0.581947i | ||||
\(621\) | 7.76393 | 0.311556 | ||||||||
\(622\) | 24.0754 | + | 3.81317i | 0.965335 | + | 0.152894i | ||||
\(623\) | 0.469272 | + | 0.340946i | 0.0188010 | + | 0.0136597i | ||||
\(624\) | −5.25731 | − | 1.70820i | −0.210461 | − | 0.0683829i | ||||
\(625\) | −7.41641 | −0.296656 | ||||||||
\(626\) | 20.8172 | + | 20.8172i | 0.832024 | + | 0.832024i | ||||
\(627\) | 90.0854 | + | 29.2705i | 3.59766 | + | 1.16895i | ||||
\(628\) | 32.2299 | − | 10.4721i | 1.28611 | − | 0.417884i | ||||
\(629\) | −4.63525 | − | 14.2658i | −0.184820 | − | 0.568817i | ||||
\(630\) | −3.45309 | − | 0.546915i | −0.137574 | − | 0.0217896i | ||||
\(631\) | 2.71441 | − | 8.35410i | 0.108059 | − | 0.332572i | −0.882377 | − | 0.470543i | \(-0.844058\pi\) |
0.990436 | + | 0.137971i | \(0.0440581\pi\) | |||||||
\(632\) | −18.7462 | − | 2.96911i | −0.745684 | − | 0.118105i | ||||
\(633\) | −9.79837 | + | 13.4863i | −0.389450 | + | 0.536032i | ||||
\(634\) | −23.5035 | − | 11.9756i | −0.933443 | − | 0.475613i | ||||
\(635\) | −13.9883 | − | 10.1631i | −0.555110 | − | 0.403311i | ||||
\(636\) | 45.9787 | + | 33.4055i | 1.82317 | + | 1.32461i | ||||
\(637\) | 2.96556 | − | 0.963568i | 0.117500 | − | 0.0381780i | ||||
\(638\) | −9.98300 | − | 63.0302i | −0.395231 | − | 2.49539i | ||||
\(639\) | −25.1765 | − | 34.6525i | −0.995967 | − | 1.37083i | ||||
\(640\) | −16.3107 | + | 8.31073i | −0.644738 | + | 0.328511i | ||||
\(641\) | 12.9271 | + | 17.7926i | 0.510588 | + | 0.702764i | 0.984018 | − | 0.178067i | \(-0.0569845\pi\) |
−0.473430 | + | 0.880831i | \(0.656984\pi\) | |||||||
\(642\) | 14.1203 | − | 27.7126i | 0.557282 | − | 1.09373i | ||||
\(643\) | −2.82041 | − | 8.68034i | −0.111226 | − | 0.342319i | 0.879915 | − | 0.475131i | \(-0.157599\pi\) |
−0.991141 | + | 0.132812i | \(0.957599\pi\) | |||||||
\(644\) | 0.106001 | − | 0.326238i | 0.00417703 | − | 0.0128556i | ||||
\(645\) | −13.0902 | −0.515425 | ||||||||
\(646\) | 8.12299 | − | 8.12299i | 0.319595 | − | 0.319595i | ||||
\(647\) | −1.34708 | + | 4.14590i | −0.0529593 | + | 0.162992i | −0.974038 | − | 0.226384i | \(-0.927309\pi\) |
0.921079 | + | 0.389376i | \(0.127309\pi\) | |||||||
\(648\) | 5.96093 | + | 37.6358i | 0.234167 | + | 1.47847i | ||||
\(649\) | 19.7984 | + | 27.2501i | 0.777154 | + | 1.06966i | ||||
\(650\) | 1.06957 | + | 1.06957i | 0.0419520 | + | 0.0419520i | ||||
\(651\) | −3.85723 | + | 1.21885i | −0.151177 | + | 0.0477704i | ||||
\(652\) | −4.11146 | −0.161017 | ||||||||
\(653\) | −29.2254 | + | 21.2335i | −1.14368 | + | 0.830932i | −0.987628 | − | 0.156817i | \(-0.949877\pi\) |
−0.156052 | + | 0.987749i | \(0.549877\pi\) | |||||||
\(654\) | −65.2590 | + | 10.3360i | −2.55183 | + | 0.404170i | ||||
\(655\) | −18.6906 | − | 6.07295i | −0.730303 | − | 0.237290i | ||||
\(656\) | 20.9443 | 0.817736 | ||||||||
\(657\) | − | 12.3107i | − | 0.480287i | ||||||
\(658\) | −0.851497 | − | 1.67116i | −0.0331948 | − | 0.0651485i | ||||
\(659\) | 6.06961 | − | 1.97214i | 0.236438 | − | 0.0768235i | −0.188401 | − | 0.982092i | \(-0.560331\pi\) |
0.424840 | + | 0.905269i | \(0.360331\pi\) | |||||||
\(660\) | 58.3045 | − | 18.9443i | 2.26950 | − | 0.737405i | ||||
\(661\) | 21.8713 | − | 15.8904i | 0.850696 | − | 0.618067i | −0.0746420 | − | 0.997210i | \(-0.523781\pi\) |
0.925338 | + | 0.379144i | \(0.123781\pi\) | |||||||
\(662\) | 5.41945 | + | 10.6363i | 0.210633 | + | 0.413391i | ||||
\(663\) | 1.81636 | − | 1.31966i | 0.0705414 | − | 0.0512514i | ||||
\(664\) | 2.92220 | + | 18.4501i | 0.113403 | + | 0.716001i | ||||
\(665\) | 0.590170 | + | 1.81636i | 0.0228858 | + | 0.0704353i | ||||
\(666\) | −13.2203 | − | 83.4695i | −0.512275 | − | 3.23438i | ||||
\(667\) | −3.13068 | + | 4.30902i | −0.121221 | + | 0.166846i | ||||
\(668\) | −39.5967 | + | 12.8658i | −1.53204 | + | 0.497791i | ||||
\(669\) | −5.42705 | − | 3.94298i | −0.209822 | − | 0.152445i | ||||
\(670\) | 13.0269 | + | 2.06326i | 0.503273 | + | 0.0797107i | ||||
\(671\) | 5.25731 | + | 1.70820i | 0.202956 | + | 0.0659445i | ||||
\(672\) | 4.05934 | + | 0.642937i | 0.156593 | + | 0.0248018i | ||||
\(673\) | −18.5795 | + | 6.03685i | −0.716188 | + | 0.232704i | −0.644370 | − | 0.764714i | \(-0.722880\pi\) |
−0.0718184 | + | 0.997418i | \(0.522880\pi\) | |||||||
\(674\) | −13.9000 | + | 27.2803i | −0.535409 | + | 1.05080i | ||||
\(675\) | 7.86572 | − | 24.2082i | 0.302752 | − | 0.931774i | ||||
\(676\) | − | 25.5967i | − | 0.984490i | ||||||
\(677\) | − | 7.95148i | − | 0.305600i | −0.988257 | − | 0.152800i | \(-0.951171\pi\) | ||
0.988257 | − | 0.152800i | \(-0.0488291\pi\) | |||||||
\(678\) | 16.9191 | + | 33.2055i | 0.649773 | + | 1.27525i | ||||
\(679\) | −0.204270 | + | 0.281153i | −0.00783915 | + | 0.0107897i | ||||
\(680\) | 1.16308 | − | 7.34342i | 0.0446022 | − | 0.281607i | ||||
\(681\) | − | 70.1662i | − | 2.68877i | ||||||
\(682\) | 34.5480 | − | 33.9930i | 1.32291 | − | 1.30166i | ||||
\(683\) | 26.1246i | 0.999630i | 0.866132 | + | 0.499815i | \(0.166599\pi\) | ||||
−0.866132 | + | 0.499815i | \(0.833401\pi\) | |||||||
\(684\) | 52.3607 | − | 38.0423i | 2.00206 | − | 1.45458i | ||||
\(685\) | 9.47214 | − | 13.0373i | 0.361912 | − | 0.498129i | ||||
\(686\) | −4.14791 | + | 2.11346i | −0.158368 | + | 0.0806924i | ||||
\(687\) | − | 36.1803i | − | 1.38037i | ||||||
\(688\) | 10.5146 | 0.400866 | ||||||||
\(689\) | 1.28115 | − | 3.94298i | 0.0488080 | − | 0.150216i | ||||
\(690\) | −4.55899 | − | 2.32292i | −0.173558 | − | 0.0884321i | ||||
\(691\) | 34.9116 | − | 11.3435i | 1.32810 | − | 0.431526i | 0.442830 | − | 0.896605i | \(-0.353974\pi\) |
0.885269 | + | 0.465080i | \(0.153974\pi\) | |||||||
\(692\) | −15.3229 | − | 21.0902i | −0.582489 | − | 0.801728i | ||||
\(693\) | −8.94427 | − | 2.90617i | −0.339765 | − | 0.110396i | ||||
\(694\) | −2.28822 | + | 14.4473i | −0.0868598 | + | 0.548411i | ||||
\(695\) | 6.51864 | + | 4.73607i | 0.247266 | + | 0.179649i | ||||
\(696\) | −56.8603 | − | 28.9718i | −2.15529 | − | 1.09817i | ||||
\(697\) | −5.00000 | + | 6.88191i | −0.189389 | + | 0.260671i | ||||
\(698\) | −5.50937 | + | 0.872598i | −0.208533 | + | 0.0330283i | ||||
\(699\) | −1.26133 | − | 3.88197i | −0.0477078 | − | 0.146829i | ||||
\(700\) | −0.909830 | − | 0.661030i | −0.0343883 | − | 0.0249846i | ||||
\(701\) | −21.2533 | + | 15.4414i | −0.802726 | + | 0.583214i | −0.911712 | − | 0.410829i | \(-0.865239\pi\) |
0.108987 | + | 0.994043i | \(0.465239\pi\) | |||||||
\(702\) | 6.04630 | − | 3.08075i | 0.228203 | − | 0.116275i | ||||
\(703\) | −37.3485 | + | 27.1353i | −1.40862 | + | 1.02343i | ||||
\(704\) | −46.8328 | + | 15.2169i | −1.76508 | + | 0.573509i | ||||
\(705\) | −26.6074 | + | 8.64527i | −1.00209 | + | 0.325600i | ||||
\(706\) | −14.2472 | + | 7.25933i | −0.536202 | + | 0.273209i | ||||
\(707\) | − | 2.11146i | − | 0.0794095i | ||||||
\(708\) | 33.6830 | 1.26588 | ||||||||
\(709\) | 38.8050 | + | 12.6085i | 1.45735 | + | 0.473522i | 0.927260 | − | 0.374419i | \(-0.122158\pi\) |
0.530091 | + | 0.847941i | \(0.322158\pi\) | |||||||
\(710\) | 2.36899 | + | 14.9572i | 0.0889068 | + | 0.561335i | ||||
\(711\) | 35.1361 | − | 25.5279i | 1.31771 | − | 0.957370i | ||||
\(712\) | −4.91428 | + | 4.91428i | −0.184171 | + | 0.184171i | ||||
\(713\) | −4.04508 | − | 0.0327561i | −0.151490 | − | 0.00122673i | ||||
\(714\) | −1.18034 | + | 1.18034i | −0.0441731 | + | 0.0441731i | ||||
\(715\) | −2.62866 | − | 3.61803i | −0.0983061 | − | 0.135307i | ||||
\(716\) | −5.00000 | + | 6.88191i | −0.186859 | + | 0.257189i | ||||
\(717\) | −24.4721 | + | 75.3175i | −0.913929 | + | 2.81278i | ||||
\(718\) | 4.79837 | + | 4.79837i | 0.179074 | + | 0.179074i | ||||
\(719\) | 12.5882 | 0.469462 | 0.234731 | − | 0.972060i | \(-0.424579\pi\) | ||||
0.234731 | + | 0.972060i | \(0.424579\pi\) | |||||||
\(720\) | 12.9443 | − | 39.8384i | 0.482405 | − | 1.48469i | ||||
\(721\) | −0.881966 | − | 2.71441i | −0.0328461 | − | 0.101090i | ||||
\(722\) | −7.56044 | − | 3.85224i | −0.281370 | − | 0.143365i | ||||
\(723\) | 1.31433 | + | 1.80902i | 0.0488804 | + | 0.0672781i | ||||
\(724\) | −0.449028 | + | 1.38197i | −0.0166880 | + | 0.0513604i | ||||
\(725\) | 10.2639 | + | 14.1271i | 0.381193 | + | 0.524667i | ||||
\(726\) | 115.592 | − | 18.3079i | 4.29001 | − | 0.679470i | ||||
\(727\) | −22.4948 | + | 7.30902i | −0.834287 | + | 0.271076i | −0.694850 | − | 0.719154i | \(-0.744529\pi\) |
−0.139437 | + | 0.990231i | \(0.544529\pi\) | |||||||
\(728\) | −0.0469016 | − | 0.296125i | −0.00173829 | − | 0.0109751i | ||||
\(729\) | 9.28115 | + | 6.74315i | 0.343746 | + | 0.249746i | ||||
\(730\) | −1.97599 | + | 3.87811i | −0.0731348 | + | 0.143535i | ||||
\(731\) | −2.51014 | + | 3.45492i | −0.0928410 | + | 0.127785i | ||||
\(732\) | 4.47214 | − | 3.24920i | 0.165295 | − | 0.120094i | ||||
\(733\) | −6.48936 | + | 19.9722i | −0.239690 | + | 0.737690i | 0.756775 | + | 0.653676i | \(0.226774\pi\) |
−0.996465 | + | 0.0840138i | \(0.973226\pi\) | |||||||
\(734\) | 2.30272 | − | 14.5388i | 0.0849948 | − | 0.536636i | ||||
\(735\) | 10.6861 | + | 32.8885i | 0.394164 | + | 1.21311i | ||||
\(736\) | 3.66199 | + | 1.86588i | 0.134983 | + | 0.0687771i | ||||
\(737\) | 33.7426 | + | 10.9637i | 1.24293 | + | 0.403851i | ||||
\(738\) | −33.8885 | + | 33.8885i | −1.24745 | + | 1.24745i | ||||
\(739\) | −26.0746 | −0.959168 | −0.479584 | − | 0.877496i | \(-0.659212\pi\) | ||||
−0.479584 | + | 0.877496i | \(0.659212\pi\) | |||||||
\(740\) | −9.23305 | + | 28.4164i | −0.339414 | + | 1.04461i | ||||
\(741\) | −5.59017 | − | 4.06150i | −0.205360 | − | 0.149203i | ||||
\(742\) | −0.482203 | + | 3.04451i | −0.0177022 | + | 0.111767i | ||||
\(743\) | 6.60440 | 0.242292 | 0.121146 | − | 0.992635i | \(-0.461343\pi\) | ||||
0.121146 | + | 0.992635i | \(0.461343\pi\) | |||||||
\(744\) | −7.19409 | − | 47.9305i | −0.263748 | − | 1.75722i | ||||
\(745\) | −6.70820 | −0.245770 | ||||||||
\(746\) | −3.18937 | + | 20.1369i | −0.116771 | + | 0.737263i | ||||
\(747\) | −34.5811 | − | 25.1246i | −1.26525 | − | 0.919261i | ||||
\(748\) | 6.18034 | − | 19.0211i | 0.225976 | − | 0.695481i | ||||
\(749\) | 1.68692 | 0.0616386 | ||||||||
\(750\) | −36.7607 | + | 36.7607i | −1.34231 | + | 1.34231i | ||||
\(751\) | −31.0013 | − | 10.0729i | −1.13126 | − | 0.367567i | −0.317202 | − | 0.948358i | \(-0.602743\pi\) |
−0.814053 | + | 0.580791i | \(0.802743\pi\) | |||||||
\(752\) | 21.3723 | − | 6.94427i | 0.779367 | − | 0.253232i | ||||
\(753\) | 3.61803 | + | 11.1352i | 0.131848 | + | 0.405788i | ||||
\(754\) | −0.728250 | + | 4.59799i | −0.0265213 | + | 0.167449i | ||||
\(755\) | −4.30625 | + | 13.2533i | −0.156721 | + | 0.482337i | ||||
\(756\) | −4.08174 | + | 2.96556i | −0.148451 | + | 0.107856i | ||||
\(757\) | −15.5279 | + | 21.3723i | −0.564370 | + | 0.776788i | −0.991874 | − | 0.127225i | \(-0.959393\pi\) |
0.427504 | + | 0.904013i | \(0.359393\pi\) | |||||||
\(758\) | 16.5857 | − | 32.5512i | 0.602419 | − | 1.18231i | ||||
\(759\) | −11.1352 | − | 8.09017i | −0.404181 | − | 0.293655i | ||||
\(760\) | −22.6007 | + | 3.57960i | −0.819815 | + | 0.129846i | ||||
\(761\) | 25.2254 | − | 8.19624i | 0.914421 | − | 0.297113i | 0.186245 | − | 0.982503i | \(-0.440368\pi\) |
0.728176 | + | 0.685390i | \(0.240368\pi\) | |||||||
\(762\) | −45.9388 | + | 7.27599i | −1.66419 | + | 0.263581i | ||||
\(763\) | −2.10638 | − | 2.89919i | −0.0762562 | − | 0.104958i | ||||
\(764\) | −0.201626 | + | 0.620541i | −0.00729458 | + | 0.0224504i | ||||
\(765\) | 10.0000 | + | 13.7638i | 0.361551 | + | 0.497632i | ||||
\(766\) | 3.96066 | + | 2.01806i | 0.143104 | + | 0.0729153i | ||||
\(767\) | −0.759299 | − | 2.33688i | −0.0274167 | − | 0.0843799i | ||||
\(768\) | −15.2169 | + | 46.8328i | −0.549093 | + | 1.68993i | ||||
\(769\) | −11.9098 | −0.429479 | −0.214740 | − | 0.976671i | \(-0.568890\pi\) | ||||
−0.214740 | + | 0.976671i | \(0.568890\pi\) | |||||||
\(770\) | 2.35114 | + | 2.35114i | 0.0847292 | + | 0.0847292i | ||||
\(771\) | 10.4086 | − | 32.0344i | 0.374857 | − | 1.15369i | ||||
\(772\) | −9.57608 | + | 13.1803i | −0.344651 | + | 0.474371i | ||||
\(773\) | −24.2320 | − | 33.3525i | −0.871565 | − | 1.19961i | −0.978687 | − | 0.205360i | \(-0.934164\pi\) |
0.107122 | − | 0.994246i | \(-0.465836\pi\) | |||||||
\(774\) | −17.0130 | + | 17.0130i | −0.611520 | + | 0.611520i | ||||
\(775\) | −4.20025 | + | 12.5795i | −0.150878 | + | 0.451870i | ||||
\(776\) | −2.94427 | − | 2.94427i | −0.105693 | − | 0.105693i | ||||
\(777\) | 5.42705 | − | 3.94298i | 0.194694 | − | 0.141454i | ||||
\(778\) | −6.25072 | − | 39.4655i | −0.224099 | − | 1.41491i | ||||
\(779\) | 24.8990 | + | 8.09017i | 0.892099 | + | 0.289860i | ||||
\(780\) | −4.47214 | −0.160128 | ||||||||
\(781\) | 40.7364i | 1.45766i | ||||||||
\(782\) | −1.48732 | + | 0.757825i | −0.0531863 | + | 0.0270998i | ||||
\(783\) | 74.5052 | − | 24.2082i | 2.66260 | − | 0.865131i | ||||
\(784\) | −8.58359 | − | 26.4176i | −0.306557 | − | 0.943485i | ||||
\(785\) | 22.1803 | − | 16.1150i | 0.791650 | − | 0.575168i | ||||
\(786\) | −47.1031 | + | 24.0002i | −1.68011 | + | 0.856060i | ||||
\(787\) | 25.2093 | − | 18.3156i | 0.898613 | − | 0.652880i | −0.0394965 | − | 0.999220i | \(-0.512575\pi\) |
0.938109 | + | 0.346339i | \(0.112575\pi\) | |||||||
\(788\) | −28.1482 | − | 20.4508i | −1.00274 | − | 0.728531i | ||||
\(789\) | −25.0623 | − | 77.1338i | −0.892242 | − | 2.74604i | ||||
\(790\) | −15.1660 | + | 2.40206i | −0.539582 | + | 0.0854613i | ||||
\(791\) | −1.18808 | + | 1.63525i | −0.0422433 | + | 0.0581430i | ||||
\(792\) | 51.1556 | − | 100.399i | 1.81774 | − | 3.56751i | ||||
\(793\) | −0.326238 | − | 0.237026i | −0.0115850 | − | 0.00841703i | ||||
\(794\) | 2.65478 | − | 16.7616i | 0.0942146 | − | 0.594848i | ||||
\(795\) | 43.7284 | + | 14.2082i | 1.55088 | + | 0.503913i | ||||
\(796\) | −4.27051 | − | 5.87785i | −0.151364 | − | 0.208335i | ||||
\(797\) | 20.0000 | − | 6.49839i | 0.708436 | − | 0.230185i | 0.0674339 | − | 0.997724i | \(-0.478519\pi\) |
0.641002 | + | 0.767539i | \(0.278519\pi\) | |||||||
\(798\) | 4.57748 | + | 2.33235i | 0.162041 | + | 0.0825641i | ||||
\(799\) | −2.82041 | + | 8.68034i | −0.0997791 | + | 0.307088i | ||||
\(800\) | 9.52786 | − | 9.52786i | 0.336861 | − | 0.336861i | ||||
\(801\) | − | 15.9030i | − | 0.561903i | ||||||
\(802\) | 12.3337 | − | 6.28433i | 0.435518 | − | 0.221908i | ||||
\(803\) | −6.88191 | + | 9.47214i | −0.242857 | + | 0.334264i | ||||
\(804\) | 28.7032 | − | 20.8541i | 1.01228 | − | 0.735467i | ||||
\(805\) | − | 0.277515i | − | 0.00978110i | ||||||
\(806\) | −3.16318 | + | 1.57959i | −0.111418 | + | 0.0556387i | ||||
\(807\) | − | 75.5755i | − | 2.66038i | ||||||
\(808\) | 24.9868 | + | 3.95751i | 0.879031 | + | 0.139225i | ||||
\(809\) | −13.3779 | + | 18.4131i | −0.470342 | + | 0.647370i | −0.976613 | − | 0.215004i | \(-0.931023\pi\) |
0.506271 | + | 0.862374i | \(0.331023\pi\) | |||||||
\(810\) | 13.9954 | + | 27.4676i | 0.491749 | + | 0.965111i | ||||
\(811\) | 37.3607i | 1.31191i | 0.754800 | + | 0.655955i | \(0.227734\pi\) | ||||
−0.754800 | + | 0.655955i | \(0.772266\pi\) | |||||||
\(812\) | − | 3.46120i | − | 0.121464i | ||||||
\(813\) | 5.59017 | − | 17.2048i | 0.196056 | − | 0.603398i | ||||
\(814\) | −36.4889 | + | 71.6135i | −1.27894 | + | 2.51005i | ||||
\(815\) | −3.16344 | + | 1.02786i | −0.110810 | + | 0.0360045i | ||||
\(816\) | −11.7557 | − | 16.1803i | −0.411532 | − | 0.566425i | ||||
\(817\) | 12.5000 | + | 4.06150i | 0.437320 | + | 0.142094i | ||||
\(818\) | 50.3326 | + | 7.97190i | 1.75984 | + | 0.278731i | ||||
\(819\) | 0.555029 | + | 0.403252i | 0.0193943 | + | 0.0140908i | ||||
\(820\) | 16.1150 | − | 5.23607i | 0.562759 | − | 0.182851i | ||||
\(821\) | 10.4508 | − | 14.3844i | 0.364737 | − | 0.502018i | −0.586724 | − | 0.809787i | \(-0.699583\pi\) |
0.951461 | + | 0.307769i | \(0.0995826\pi\) | |||||||
\(822\) | −6.78130 | − | 42.8154i | −0.236525 | − | 1.49336i | ||||
\(823\) | 9.35156 | + | 28.7812i | 0.325975 | + | 1.00325i | 0.970999 | + | 0.239085i | \(0.0768475\pi\) |
−0.645024 | + | 0.764163i | \(0.723152\pi\) | |||||||
\(824\) | 33.7752 | − | 5.34946i | 1.17661 | − | 0.186357i | ||||
\(825\) | −36.5066 | + | 26.5236i | −1.27100 | + | 0.923433i | ||||
\(826\) | 0.829384 | + | 1.62776i | 0.0288580 | + | 0.0566369i | ||||
\(827\) | −12.9515 | + | 9.40983i | −0.450368 | + | 0.327212i | −0.789741 | − | 0.613440i | \(-0.789785\pi\) |
0.339373 | + | 0.940652i | \(0.389785\pi\) | |||||||
\(828\) | −8.94427 | + | 2.90617i | −0.310835 | + | 0.100996i | ||||
\(829\) | 36.8328 | − | 11.9677i | 1.27926 | − | 0.415656i | 0.410938 | − | 0.911663i | \(-0.365201\pi\) |
0.868318 | + | 0.496007i | \(0.165201\pi\) | |||||||
\(830\) | 6.86092 | + | 13.4653i | 0.238146 | + | 0.467388i | ||||
\(831\) | − | 1.38197i | − | 0.0479399i | ||||||
\(832\) | 3.59222 | 0.124538 | ||||||||
\(833\) | 10.7295 | + | 3.48622i | 0.371755 | + | 0.120790i | ||||
\(834\) | 21.4077 | − | 3.39065i | 0.741289 | − | 0.117409i | ||||
\(835\) | −27.2501 | + | 19.7984i | −0.943029 | + | 0.685151i | ||||
\(836\) | −61.5537 | −2.12888 | ||||||||
\(837\) | 47.8500 | + | 35.3606i | 1.65394 | + | 1.22224i | ||||
\(838\) | −20.1803 | − | 20.1803i | −0.697118 | − | 0.697118i | ||||
\(839\) | 2.93893 | + | 4.04508i | 0.101463 | + | 0.139652i | 0.856730 | − | 0.515766i | \(-0.172493\pi\) |
−0.755267 | + | 0.655418i | \(0.772493\pi\) | |||||||
\(840\) | 3.28408 | − | 0.520147i | 0.113311 | − | 0.0179468i | ||||
\(841\) | −7.64590 | + | 23.5317i | −0.263652 | + | 0.811436i | ||||
\(842\) | 27.5967 | − | 27.5967i | 0.951047 | − | 0.951047i | ||||
\(843\) | −48.7939 | −1.68055 | ||||||||
\(844\) | 3.34752 | − | 10.3026i | 0.115227 | − | 0.354631i | ||||
\(845\) | −6.39919 | − | 19.6947i | −0.220139 | − | 0.677517i | ||||
\(846\) | −23.3450 | + | 45.8171i | −0.802617 | + | 1.57523i | ||||
\(847\) | 3.73098 | + | 5.13525i | 0.128198 | + | 0.176449i | ||||
\(848\) | −35.1246 | − | 11.4127i | −1.20618 | − | 0.391913i | ||||
\(849\) | 5.26393 | + | 7.24518i | 0.180658 | + | 0.248654i | ||||
\(850\) | 0.856109 | + | 5.40526i | 0.0293643 | + | 0.185399i | ||||
\(851\) | 6.37988 | − | 2.07295i | 0.218700 | − | 0.0710598i | ||||
\(852\) | 32.9565 | + | 23.9443i | 1.12907 | + | 0.820317i | ||||
\(853\) | −33.5623 | − | 24.3844i | −1.14915 | − | 0.834907i | −0.160784 | − | 0.986990i | \(-0.551402\pi\) |
−0.988368 | + | 0.152082i | \(0.951402\pi\) | |||||||
\(854\) | 0.267138 | + | 0.136114i | 0.00914129 | + | 0.00465772i | ||||
\(855\) | 30.7768 | − | 42.3607i | 1.05255 | − | 1.44870i | ||||
\(856\) | −3.16180 | + | 19.9628i | −0.108068 | + | 0.682315i | ||||
\(857\) | 14.0344 | − | 43.1936i | 0.479407 | − | 1.47546i | −0.360513 | − | 0.932754i | \(-0.617398\pi\) |
0.839920 | − | 0.542710i | \(-0.182602\pi\) | |||||||
\(858\) | −11.8819 | − | 1.88191i | −0.405642 | − | 0.0642473i | ||||
\(859\) | −3.19620 | − | 9.83688i | −0.109053 | − | 0.335630i | 0.881607 | − | 0.471983i | \(-0.156462\pi\) |
−0.990660 | + | 0.136353i | \(0.956462\pi\) | |||||||
\(860\) | 8.09017 | − | 2.62866i | 0.275873 | − | 0.0896364i | ||||
\(861\) | −3.61803 | − | 1.17557i | −0.123302 | − | 0.0400633i | ||||
\(862\) | −13.1246 | − | 13.1246i | −0.447026 | − | 0.447026i | ||||
\(863\) | 49.1369 | 1.67264 | 0.836320 | − | 0.548241i | \(-0.184702\pi\) | ||||
0.836320 | + | 0.548241i | \(0.184702\pi\) | |||||||
\(864\) | −27.4437 | − | 53.8613i | −0.933653 | − | 1.83240i | ||||
\(865\) | −17.0623 | − | 12.3965i | −0.580136 | − | 0.421493i | ||||
\(866\) | −39.2259 | − | 6.21278i | −1.33295 | − | 0.211119i | ||||
\(867\) | −44.1976 | −1.50103 | ||||||||
\(868\) | 2.13914 | − | 1.52786i | 0.0726071 | − | 0.0518591i | ||||
\(869\) | −41.3050 | −1.40117 | ||||||||
\(870\) | −50.9925 | − | 8.07641i | −1.72881 | − | 0.273816i | ||||
\(871\) | −2.09387 | − | 1.52129i | −0.0709481 | − | 0.0515468i | ||||
\(872\) | 38.2567 | − | 19.4928i | 1.29553 | − | 0.660108i | ||||
\(873\) | 9.52786 | 0.322469 | ||||||||
\(874\) | 3.63271 | + | 3.63271i | 0.122878 | + | 0.122878i | ||||
\(875\) | −2.68166 | − | 0.871323i | −0.0906565 | − | 0.0294561i | ||||
\(876\) | 3.61803 | + | 11.1352i | 0.122242 | + | 0.376222i | ||||
\(877\) | −8.52786 | − | 26.2461i | −0.287966 | − | 0.886267i | −0.985494 | − | 0.169710i | \(-0.945717\pi\) |
0.697529 | − | 0.716557i | \(-0.254283\pi\) | |||||||
\(878\) | −6.32453 | − | 1.00171i | −0.213443 | − | 0.0338060i | ||||
\(879\) | −15.4414 | + | 47.5238i | −0.520826 | + | 1.60294i | ||||
\(880\) | −32.2299 | + | 23.4164i | −1.08647 | + | 0.789367i | ||||
\(881\) | 3.19098 | − | 4.39201i | 0.107507 | − | 0.147971i | −0.751873 | − | 0.659308i | \(-0.770850\pi\) |
0.859380 | + | 0.511337i | \(0.170850\pi\) | |||||||
\(882\) | 56.6331 | + | 28.8560i | 1.90694 | + | 0.971632i | ||||
\(883\) | 45.6835 | + | 33.1910i | 1.53737 | + | 1.11697i | 0.951957 | + | 0.306231i | \(0.0990680\pi\) |
0.585414 | + | 0.810735i | \(0.300932\pi\) | |||||||
\(884\) | −0.857567 | + | 1.18034i | −0.0288431 | + | 0.0396991i | ||||
\(885\) | 25.9164 | − | 8.42075i | 0.871171 | − | 0.283060i | ||||
\(886\) | 2.01865 | + | 12.7453i | 0.0678180 | + | 0.428186i | ||||
\(887\) | −26.3973 | − | 36.3328i | −0.886336 | − | 1.21994i | −0.974626 | − | 0.223842i | \(-0.928140\pi\) |
0.0882897 | − | 0.996095i | \(-0.471860\pi\) | |||||||
\(888\) | 36.4889 | + | 71.6135i | 1.22449 | + | 2.40319i | ||||
\(889\) | −1.48278 | − | 2.04087i | −0.0497308 | − | 0.0684486i | ||||
\(890\) | −2.55258 | + | 5.00972i | −0.0855627 | + | 0.167926i | ||||
\(891\) | 25.6255 | + | 78.8673i | 0.858487 | + | 2.64215i | ||||
\(892\) | 4.14590 | + | 1.34708i | 0.138815 | + | 0.0451037i | ||||
\(893\) | 28.0902 | 0.940002 | ||||||||
\(894\) | −12.7598 | + | 12.7598i | −0.426750 | + | 0.426750i | ||||
\(895\) | −2.12663 | + | 6.54508i | −0.0710853 | + | 0.218778i | ||||
\(896\) | −2.63792 | + | 0.417806i | −0.0881268 | + | 0.0139579i | ||||
\(897\) | 0.590170 | + | 0.812299i | 0.0197052 | + | 0.0271219i | ||||
\(898\) | −24.8335 | − | 24.8335i | −0.828704 | − | 0.828704i | ||||
\(899\) | −38.9201 | + | 12.2984i | −1.29806 | + | 0.410174i | ||||
\(900\) | 30.8328i | 1.02776i | ||||||||
\(901\) | 12.1353 | − | 8.81678i | 0.404284 | − | 0.293729i | ||||
\(902\) | 45.0188 | − | 7.13028i | 1.49896 | − | 0.237412i | ||||
\(903\) | −1.81636 | − | 0.590170i | −0.0604446 | − | 0.0196396i | ||||
\(904\) | −17.1246 | − | 17.1246i | −0.569556 | − | 0.569556i | ||||
\(905\) | 1.17557i | 0.0390773i | ||||||||
\(906\) | 17.0183 | + | 33.4002i | 0.565394 | + | 1.10965i | ||||
\(907\) | −22.2376 | + | 7.22542i | −0.738386 | + | 0.239916i | −0.653977 | − | 0.756515i | \(-0.726901\pi\) |
−0.0844099 | + | 0.996431i | \(0.526901\pi\) | |||||||
\(908\) | 14.0902 | + | 43.3651i | 0.467599 | + | 1.43912i | ||||
\(909\) | −46.8328 | + | 34.0260i | −1.55335 | + | 1.12857i | ||||
\(910\) | −0.110118 | − | 0.216120i | −0.00365039 | − | 0.00716429i | ||||
\(911\) | 23.7234 | − | 17.2361i | 0.785992 | − | 0.571056i | −0.120780 | − | 0.992679i | \(-0.538539\pi\) |
0.906771 | + | 0.421623i | \(0.138539\pi\) | |||||||
\(912\) | −36.1803 | + | 49.7980i | −1.19805 | + | 1.64898i | ||||
\(913\) | 12.5623 | + | 38.6628i | 0.415752 | + | 1.27955i | ||||
\(914\) | 5.30977 | + | 33.5245i | 0.175631 | + | 1.10889i | ||||
\(915\) | 2.62866 | − | 3.61803i | 0.0869007 | − | 0.119609i | ||||
\(916\) | 7.26543 | + | 22.3607i | 0.240056 | + | 0.738818i | ||||
\(917\) | −2.31966 | − | 1.68533i | −0.0766019 | − | 0.0556546i | ||||
\(918\) | 24.2494 | + | 3.84073i | 0.800351 | + | 0.126763i | ||||
\(919\) | 19.5232 | + | 6.34346i | 0.644010 | + | 0.209251i | 0.612771 | − | 0.790261i | \(-0.290055\pi\) |
0.0312386 | + | 0.999512i | \(0.490055\pi\) | |||||||
\(920\) | 3.28408 | + | 0.520147i | 0.108273 | + | 0.0171487i | ||||
\(921\) | 59.1697 | − | 19.2254i | 1.94971 | − | 0.633498i | ||||
\(922\) | −17.8260 | + | 34.9855i | −0.587068 | + | 1.15219i | ||||
\(923\) | 0.918300 | − | 2.82624i | 0.0302262 | − | 0.0930268i | ||||
\(924\) | 8.94427 | 0.294245 | ||||||||
\(925\) | − | 21.9928i | − | 0.723119i | ||||||
\(926\) | 15.8080 | + | 31.0249i | 0.519482 | + | 1.01954i | ||||
\(927\) | −45.9937 | + | 63.3050i | −1.51063 | + | 2.07921i | ||||
\(928\) | 40.9595 | + | 6.48734i | 1.34456 | + | 0.212958i | ||||
\(929\) | 56.6799i | 1.85961i | 0.368057 | + | 0.929803i | \(0.380023\pi\) | ||||
−0.368057 | + | 0.929803i | \(0.619977\pi\) | |||||||
\(930\) | −17.5179 | − | 35.0802i | −0.574435 | − | 1.15033i | ||||
\(931\) | − | 34.7214i | − | 1.13795i | ||||||
\(932\) | 1.55909 | + | 2.14590i | 0.0510696 | + | 0.0702912i | ||||
\(933\) | 31.1803 | − | 42.9161i | 1.02080 | − | 1.40501i | ||||
\(934\) | −24.3959 | + | 12.4303i | −0.798258 | + | 0.406733i | ||||
\(935\) | − | 16.1803i | − | 0.529154i | ||||||
\(936\) | −5.81234 | + | 5.81234i | −0.189982 | + | 0.189982i | ||||
\(937\) | −14.3435 | + | 44.1446i | −0.468580 | + | 1.44214i | 0.385843 | + | 0.922565i | \(0.373911\pi\) |
−0.854423 | + | 0.519578i | \(0.826089\pi\) | |||||||
\(938\) | 1.71456 | + | 0.873610i | 0.0559823 | + | 0.0285244i | ||||
\(939\) | 60.9331 | − | 19.7984i | 1.98848 | − | 0.646096i | ||||
\(940\) | 14.7082 | − | 10.6861i | 0.479729 | − | 0.348543i | ||||
\(941\) | 9.14590 | + | 2.97168i | 0.298148 | + | 0.0968741i | 0.454271 | − | 0.890863i | \(-0.349900\pi\) |
−0.156123 | + | 0.987738i | \(0.549900\pi\) | |||||||
\(942\) | 11.5370 | − | 72.8420i | 0.375897 | − | 2.37332i | ||||
\(943\) | −3.07768 | − | 2.23607i | −0.100223 | − | 0.0728164i | ||||
\(944\) | −20.8172 | + | 6.76393i | −0.677544 | + | 0.220147i | ||||
\(945\) | −2.39919 | + | 3.30220i | −0.0780456 | + | 0.107420i | ||||
\(946\) | 22.6007 | − | 3.57960i | 0.734813 | − | 0.116383i | ||||
\(947\) | −15.2169 | − | 46.8328i | −0.494483 | − | 1.52186i | −0.817761 | − | 0.575558i | \(-0.804785\pi\) |
0.323278 | − | 0.946304i | \(-0.395215\pi\) | |||||||
\(948\) | −24.2784 | + | 33.4164i | −0.788527 | + | 1.08531i | ||||
\(949\) | 0.690983 | − | 0.502029i | 0.0224303 | − | 0.0162965i | ||||
\(950\) | 15.0073 | − | 7.64658i | 0.486900 | − | 0.248088i | ||||
\(951\) | −46.4428 | + | 33.7426i | −1.50601 | + | 1.09418i | ||||
\(952\) | 0.492464 | − | 0.966516i | 0.0159609 | − | 0.0313250i | ||||
\(953\) | −5.26393 | + | 1.71036i | −0.170515 | + | 0.0554038i | −0.393031 | − | 0.919525i | \(-0.628573\pi\) |
0.222515 | + | 0.974929i | \(0.428573\pi\) | |||||||
\(954\) | 75.2989 | − | 38.3667i | 2.43789 | − | 1.24217i | ||||
\(955\) | 0.527864i | 0.0170813i | ||||||||
\(956\) | − | 51.4631i | − | 1.66443i | ||||||
\(957\) | −132.082 | − | 42.9161i | −4.26961 | − | 1.38728i | ||||
\(958\) | 8.88917 | + | 56.1240i | 0.287196 | + | 1.81328i | ||||
\(959\) | 1.90211 | − | 1.38197i | 0.0614224 | − | 0.0446260i | ||||
\(960\) | 39.8384i | 1.28578i | ||||||||
\(961\) | −24.7812 | − | 18.6251i | −0.799392 | − | 0.600810i | ||||
\(962\) | 4.14590 | − | 4.14590i | 0.133669 | − | 0.133669i | ||||
\(963\) | −27.1846 | − | 37.4164i | −0.876012 | − | 1.20573i | ||||
\(964\) | −1.17557 | − | 0.854102i | −0.0378626 | − | 0.0275088i | ||||
\(965\) | −4.07295 | + | 12.5352i | −0.131113 | + | 0.403524i | ||||
\(966\) | −0.527864 | − | 0.527864i | −0.0169837 | − | 0.0169837i | ||||
\(967\) | −33.5115 | −1.07766 | −0.538828 | − | 0.842416i | \(-0.681133\pi\) | ||||
−0.538828 | + | 0.842416i | \(0.681133\pi\) | |||||||
\(968\) | −67.7631 | + | 34.5270i | −2.17799 | + | 1.10974i | ||||
\(969\) | −7.72542 | − | 23.7764i | −0.248176 | − | 0.763808i | ||||
\(970\) | −3.00145 | − | 1.52932i | −0.0963708 | − | 0.0491034i | ||||
\(971\) | 13.1885 | + | 18.1525i | 0.423241 | + | 0.582541i | 0.966385 | − | 0.257098i | \(-0.0827665\pi\) |
−0.543145 | + | 0.839639i | \(0.682766\pi\) | |||||||
\(972\) | 17.8885 | + | 5.81234i | 0.573775 | + | 0.186431i | ||||
\(973\) | 0.690983 | + | 0.951057i | 0.0221519 | + | 0.0304895i | ||||
\(974\) | 27.1960 | − | 4.30742i | 0.871415 | − | 0.138019i | ||||
\(975\) | 3.13068 | − | 1.01722i | 0.100262 | − | 0.0325771i | ||||
\(976\) | −2.11146 | + | 2.90617i | −0.0675861 | + | 0.0930242i | ||||
\(977\) | −6.47214 | − | 4.70228i | −0.207062 | − | 0.150439i | 0.479421 | − | 0.877585i | \(-0.340847\pi\) |
−0.686483 | + | 0.727145i | \(0.740847\pi\) | |||||||
\(978\) | −4.06211 | + | 7.97233i | −0.129892 | + | 0.254927i | ||||
\(979\) | −8.89002 | + | 12.2361i | −0.284126 | + | 0.391066i | ||||
\(980\) | −13.2088 | − | 18.1803i | −0.421939 | − | 0.580750i | ||||
\(981\) | −30.3607 | + | 93.4406i | −0.969342 | + | 2.98333i | ||||
\(982\) | 2.44896 | − | 15.4621i | 0.0781494 | − | 0.493416i | ||||
\(983\) | −0.244758 | − | 0.753289i | −0.00780658 | − | 0.0240262i | 0.947077 | − | 0.321005i | \(-0.104021\pi\) |
−0.954884 | + | 0.296979i | \(0.904021\pi\) | |||||||
\(984\) | 20.6929 | − | 40.6121i | 0.659665 | − | 1.29467i | ||||
\(985\) | −26.7705 | − | 8.69827i | −0.852979 | − | 0.277150i | ||||
\(986\) | −11.9098 | + | 11.9098i | −0.379286 | + | 0.379286i | ||||
\(987\) | −4.08174 | −0.129923 | ||||||||
\(988\) | 4.27051 | + | 1.38757i | 0.135863 | + | 0.0441446i | ||||
\(989\) | −1.54508 | − | 1.12257i | −0.0491308 | − | 0.0356956i | ||||
\(990\) | 14.2606 | − | 90.0377i | 0.453230 | − | 2.86158i | ||||
\(991\) | 12.9313 | 0.410776 | 0.205388 | − | 0.978681i | \(-0.434154\pi\) | ||||
0.205388 | + | 0.978681i | \(0.434154\pi\) | |||||||
\(992\) | 14.0712 | + | 28.1780i | 0.446761 | + | 0.894654i | ||||
\(993\) | 25.9787 | 0.824410 | ||||||||
\(994\) | −0.345632 | + | 2.18223i | −0.0109628 | + | 0.0692162i | ||||
\(995\) | −4.75528 | − | 3.45492i | −0.150753 | − | 0.109528i | ||||
\(996\) | 38.6628 | + | 12.5623i | 1.22508 | + | 0.398052i | ||||
\(997\) | −57.4721 | −1.82016 | −0.910080 | − | 0.414432i | \(-0.863980\pi\) | ||||
−0.910080 | + | 0.414432i | \(0.863980\pi\) | |||||||
\(998\) | 33.4055 | − | 33.4055i | 1.05743 | − | 1.05743i | ||||
\(999\) | −93.8366 | − | 30.4894i | −2.96886 | − | 0.964641i |
(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 | 124.2.j.a.15.2 | yes | 8 | |
4.3 | odd | 2 | inner | 124.2.j.a.15.1 | ✓ | 8 | |
31.29 | odd | 10 | inner | 124.2.j.a.91.1 | yes | 8 | |
124.91 | even | 10 | inner | 124.2.j.a.91.2 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.2.j.a.15.1 | ✓ | 8 | 4.3 | odd | 2 | inner | |
124.2.j.a.15.2 | yes | 8 | 1.1 | even | 1 | trivial | |
124.2.j.a.91.1 | yes | 8 | 31.29 | odd | 10 | inner | |
124.2.j.a.91.2 | yes | 8 | 124.91 | even | 10 | inner |