Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 47.4 | ||
Character | \(\chi\) | \(=\) | 108.47 |
Dual form | 108.2.l.a.23.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20024 | − | 0.747945i | −0.848698 | − | 0.528877i | ||||
\(3\) | 0.644352 | − | 1.60773i | 0.372017 | − | 0.928226i | ||||
\(4\) | 0.881156 | + | 1.79543i | 0.440578 | + | 0.897714i | ||||
\(5\) | 3.32285 | − | 0.585909i | 1.48603 | − | 0.262026i | 0.629043 | − | 0.777371i | \(-0.283447\pi\) |
0.856983 | + | 0.515344i | \(0.172336\pi\) | |||||||
\(6\) | −1.97587 | + | 1.44773i | −0.806647 | + | 0.591033i | ||||
\(7\) | −1.72640 | + | 2.05745i | −0.652519 | + | 0.777641i | −0.986292 | − | 0.165012i | \(-0.947234\pi\) |
0.333773 | + | 0.942653i | \(0.391678\pi\) | |||||||
\(8\) | 0.285283 | − | 2.81400i | 0.100863 | − | 0.994900i | ||||
\(9\) | −2.16962 | − | 2.07189i | −0.723207 | − | 0.690631i | ||||
\(10\) | −4.42645 | − | 1.78208i | −1.39977 | − | 0.563544i | ||||
\(11\) | 0.506730 | − | 2.87381i | 0.152785 | − | 0.866486i | −0.807998 | − | 0.589185i | \(-0.799449\pi\) |
0.960783 | − | 0.277301i | \(-0.0894400\pi\) | |||||||
\(12\) | 3.45435 | − | 0.259778i | 0.997184 | − | 0.0749914i | ||||
\(13\) | 0.552703 | + | 0.201167i | 0.153292 | + | 0.0557938i | 0.417527 | − | 0.908665i | \(-0.362897\pi\) |
−0.264234 | + | 0.964458i | \(0.585119\pi\) | |||||||
\(14\) | 3.61095 | − | 1.17818i | 0.965068 | − | 0.314881i | ||||
\(15\) | 1.19910 | − | 5.71980i | 0.309606 | − | 1.47685i | ||||
\(16\) | −2.44713 | + | 3.16411i | −0.611782 | + | 0.791026i | ||||
\(17\) | −6.36286 | + | 3.67360i | −1.54322 | + | 0.890979i | −0.544588 | + | 0.838704i | \(0.683314\pi\) |
−0.998633 | + | 0.0522747i | \(0.983353\pi\) | |||||||
\(18\) | 1.05441 | + | 4.10953i | 0.248526 | + | 0.968625i | ||||
\(19\) | 2.82795 | + | 1.63272i | 0.648776 | + | 0.374571i | 0.787987 | − | 0.615692i | \(-0.211123\pi\) |
−0.139211 | + | 0.990263i | \(0.544457\pi\) | |||||||
\(20\) | 3.97991 | + | 5.44967i | 0.889935 | + | 1.21858i | ||||
\(21\) | 2.19542 | + | 4.10131i | 0.479079 | + | 0.894980i | ||||
\(22\) | −2.75765 | + | 3.07026i | −0.587933 | + | 0.654581i | ||||
\(23\) | 0.365077 | − | 0.306336i | 0.0761238 | − | 0.0638754i | −0.603932 | − | 0.797036i | \(-0.706400\pi\) |
0.680056 | + | 0.733161i | \(0.261956\pi\) | |||||||
\(24\) | −4.34035 | − | 2.27187i | −0.885970 | − | 0.463743i | ||||
\(25\) | 5.99961 | − | 2.18368i | 1.19992 | − | 0.436736i | ||||
\(26\) | −0.512914 | − | 0.654840i | −0.100591 | − | 0.128425i | ||||
\(27\) | −4.72905 | + | 2.15315i | −0.910107 | + | 0.414374i | ||||
\(28\) | −5.21523 | − | 1.28670i | −0.985585 | − | 0.243164i | ||||
\(29\) | 1.49502 | + | 4.10753i | 0.277618 | + | 0.762749i | 0.997631 | + | 0.0687888i | \(0.0219134\pi\) |
−0.720013 | + | 0.693960i | \(0.755864\pi\) | |||||||
\(30\) | −5.71731 | + | 5.96828i | −1.04383 | + | 1.08965i | ||||
\(31\) | 3.73778 | + | 4.45451i | 0.671325 | + | 0.800054i | 0.988964 | − | 0.148158i | \(-0.0473344\pi\) |
−0.317639 | + | 0.948212i | \(0.602890\pi\) | |||||||
\(32\) | 5.30372 | − | 1.96737i | 0.937574 | − | 0.347785i | ||||
\(33\) | −4.29381 | − | 2.66643i | −0.747457 | − | 0.464166i | ||||
\(34\) | 10.3846 | + | 0.349867i | 1.78095 | + | 0.0600017i | ||||
\(35\) | −4.53111 | + | 7.84811i | −0.765897 | + | 1.32657i | ||||
\(36\) | 1.80816 | − | 5.72106i | 0.301360 | − | 0.953510i | ||||
\(37\) | −1.59532 | − | 2.76318i | −0.262269 | − | 0.454264i | 0.704575 | − | 0.709629i | \(-0.251138\pi\) |
−0.966845 | + | 0.255365i | \(0.917804\pi\) | |||||||
\(38\) | −2.17304 | − | 4.07480i | −0.352513 | − | 0.661020i | ||||
\(39\) | 0.679558 | − | 0.758977i | 0.108816 | − | 0.121534i | ||||
\(40\) | −0.700797 | − | 9.51767i | −0.110806 | − | 1.50488i | ||||
\(41\) | −1.09875 | + | 3.01880i | −0.171596 | + | 0.471457i | −0.995443 | − | 0.0953554i | \(-0.969601\pi\) |
0.823847 | + | 0.566812i | \(0.191823\pi\) | |||||||
\(42\) | 0.432529 | − | 6.56462i | 0.0667407 | − | 1.01294i | ||||
\(43\) | −1.79304 | − | 0.316161i | −0.273436 | − | 0.0482141i | 0.0352488 | − | 0.999379i | \(-0.488778\pi\) |
−0.308685 | + | 0.951164i | \(0.599889\pi\) | |||||||
\(44\) | 5.60623 | − | 1.62248i | 0.845171 | − | 0.244598i | ||||
\(45\) | −8.42328 | − | 5.61340i | −1.25567 | − | 0.836796i | ||||
\(46\) | −0.667302 | + | 0.0946193i | −0.0983884 | + | 0.0139509i | ||||
\(47\) | −0.940800 | − | 0.789425i | −0.137230 | − | 0.115149i | 0.571589 | − | 0.820540i | \(-0.306327\pi\) |
−0.708819 | + | 0.705391i | \(0.750772\pi\) | |||||||
\(48\) | 3.51023 | + | 5.97313i | 0.506658 | + | 0.862147i | ||||
\(49\) | −0.0370819 | − | 0.210302i | −0.00529741 | − | 0.0300431i | ||||
\(50\) | −8.83425 | − | 1.86644i | −1.24935 | − | 0.263954i | ||||
\(51\) | 1.80625 | + | 12.5969i | 0.252926 | + | 1.76392i | ||||
\(52\) | 0.125836 | + | 1.16960i | 0.0174503 | + | 0.162194i | ||||
\(53\) | − | 7.37157i | − | 1.01256i | −0.862368 | − | 0.506282i | \(-0.831020\pi\) | ||
0.862368 | − | 0.506282i | \(-0.168980\pi\) | |||||||
\(54\) | 7.28644 | + | 0.952775i | 0.991559 | + | 0.129656i | ||||
\(55\) | − | 9.84615i | − | 1.32765i | ||||||
\(56\) | 5.29715 | + | 5.44505i | 0.707861 | + | 0.727626i | ||||
\(57\) | 4.44717 | − | 3.49455i | 0.589042 | − | 0.462864i | ||||
\(58\) | 1.27782 | − | 6.04822i | 0.167787 | − | 0.794170i | ||||
\(59\) | −0.718733 | − | 4.07614i | −0.0935710 | − | 0.530668i | −0.995176 | − | 0.0981070i | \(-0.968721\pi\) |
0.901605 | − | 0.432561i | \(-0.142390\pi\) | |||||||
\(60\) | 11.3261 | − | 2.88714i | 1.46219 | − | 0.372728i | ||||
\(61\) | 0.421725 | + | 0.353869i | 0.0539963 | + | 0.0453083i | 0.669386 | − | 0.742914i | \(-0.266557\pi\) |
−0.615390 | + | 0.788223i | \(0.711002\pi\) | |||||||
\(62\) | −1.15450 | − | 8.14214i | −0.146622 | − | 1.03405i | ||||
\(63\) | 8.00845 | − | 0.886960i | 1.00897 | − | 0.111746i | ||||
\(64\) | −7.83723 | − | 1.60557i | −0.979653 | − | 0.200697i | ||||
\(65\) | 1.95442 | + | 0.344616i | 0.242415 | + | 0.0427444i | ||||
\(66\) | 3.15926 | + | 6.41190i | 0.388878 | + | 0.789250i | ||||
\(67\) | −3.46492 | + | 9.51978i | −0.423307 | + | 1.16303i | 0.526496 | + | 0.850178i | \(0.323505\pi\) |
−0.949803 | + | 0.312849i | \(0.898717\pi\) | |||||||
\(68\) | −12.2024 | − | 8.18705i | −1.47975 | − | 0.992825i | ||||
\(69\) | −0.257269 | − | 0.784335i | −0.0309715 | − | 0.0944228i | ||||
\(70\) | 11.3084 | − | 6.03060i | 1.35161 | − | 0.720795i | ||||
\(71\) | −0.616505 | − | 1.06782i | −0.0731657 | − | 0.126727i | 0.827121 | − | 0.562023i | \(-0.189977\pi\) |
−0.900287 | + | 0.435297i | \(0.856644\pi\) | |||||||
\(72\) | −6.44927 | + | 5.51425i | −0.760054 | + | 0.649860i | ||||
\(73\) | 1.18077 | − | 2.04515i | 0.138198 | − | 0.239366i | −0.788616 | − | 0.614885i | \(-0.789202\pi\) |
0.926815 | + | 0.375519i | \(0.122536\pi\) | |||||||
\(74\) | −0.151936 | + | 4.50969i | −0.0176622 | + | 0.524241i | ||||
\(75\) | 0.355081 | − | 11.0528i | 0.0410012 | − | 1.27627i | ||||
\(76\) | −0.439562 | + | 6.51606i | −0.0504213 | + | 0.747443i | ||||
\(77\) | 5.03789 | + | 6.00392i | 0.574121 | + | 0.684210i | ||||
\(78\) | −1.38331 | + | 0.402682i | −0.156629 | + | 0.0455948i | ||||
\(79\) | −3.33584 | − | 9.16514i | −0.375311 | − | 1.03116i | −0.973276 | − | 0.229637i | \(-0.926246\pi\) |
0.597965 | − | 0.801522i | \(-0.295976\pi\) | |||||||
\(80\) | −6.27757 | + | 11.9477i | −0.701854 | + | 1.33579i | ||||
\(81\) | 0.414521 | + | 8.99045i | 0.0460578 | + | 0.998939i | ||||
\(82\) | 3.57666 | − | 2.80148i | 0.394976 | − | 0.309371i | ||||
\(83\) | −16.8988 | + | 6.15067i | −1.85489 | + | 0.675124i | −0.872401 | + | 0.488790i | \(0.837438\pi\) |
−0.982487 | + | 0.186333i | \(0.940340\pi\) | |||||||
\(84\) | −5.42911 | + | 7.55561i | −0.592365 | + | 0.824385i | ||||
\(85\) | −18.9905 | + | 15.9349i | −2.05981 | + | 1.72838i | ||||
\(86\) | 1.91561 | + | 1.72056i | 0.206565 | + | 0.185533i | ||||
\(87\) | 7.56713 | + | 0.243100i | 0.811282 | + | 0.0260630i | ||||
\(88\) | −7.94235 | − | 2.24579i | −0.846657 | − | 0.239402i | ||||
\(89\) | −4.81205 | − | 2.77824i | −0.510076 | − | 0.294493i | 0.222789 | − | 0.974867i | \(-0.428484\pi\) |
−0.732865 | + | 0.680374i | \(0.761817\pi\) | |||||||
\(90\) | 5.91145 | + | 13.0376i | 0.623122 | + | 1.37428i | ||||
\(91\) | −1.36808 | + | 0.789860i | −0.143413 | + | 0.0827998i | ||||
\(92\) | 0.871694 | + | 0.385540i | 0.0908803 | + | 0.0401953i | ||||
\(93\) | 9.57011 | − | 3.13909i | 0.992375 | − | 0.325508i | ||||
\(94\) | 0.538740 | + | 1.65117i | 0.0555668 | + | 0.170305i | ||||
\(95\) | 10.3535 | + | 3.76836i | 1.06224 | + | 0.386626i | ||||
\(96\) | 0.254449 | − | 9.79465i | 0.0259696 | − | 0.999663i | ||||
\(97\) | 1.83865 | − | 10.4275i | 0.186687 | − | 1.05875i | −0.737082 | − | 0.675803i | \(-0.763797\pi\) |
0.923769 | − | 0.382951i | \(-0.125092\pi\) | |||||||
\(98\) | −0.112787 | + | 0.280148i | −0.0113932 | + | 0.0282992i | ||||
\(99\) | −7.05364 | + | 5.18519i | −0.708917 | + | 0.521131i | ||||
\(100\) | 9.20724 | + | 8.84771i | 0.920724 | + | 0.884771i | ||||
\(101\) | 5.49760 | − | 6.55178i | 0.547032 | − | 0.651927i | −0.419717 | − | 0.907655i | \(-0.637871\pi\) |
0.966749 | + | 0.255728i | \(0.0823152\pi\) | |||||||
\(102\) | 7.25384 | − | 16.4703i | 0.718237 | − | 1.63080i | ||||
\(103\) | 16.7001 | − | 2.94469i | 1.64551 | − | 0.290149i | 0.727326 | − | 0.686292i | \(-0.240763\pi\) |
0.918189 | + | 0.396144i | \(0.129652\pi\) | |||||||
\(104\) | 0.723762 | − | 1.49792i | 0.0709707 | − | 0.146883i | ||||
\(105\) | 9.69805 | + | 12.3418i | 0.946433 | + | 1.20443i | ||||
\(106\) | −5.51353 | + | 8.84766i | −0.535522 | + | 0.859361i | ||||
\(107\) | 3.73466 | 0.361043 | 0.180522 | − | 0.983571i | \(-0.442221\pi\) | ||||
0.180522 | + | 0.983571i | \(0.442221\pi\) | |||||||
\(108\) | −8.03286 | − | 6.59342i | −0.772962 | − | 0.634452i | ||||
\(109\) | 10.6061 | 1.01588 | 0.507940 | − | 0.861393i | \(-0.330407\pi\) | ||||
0.507940 | + | 0.861393i | \(0.330407\pi\) | |||||||
\(110\) | −7.36438 | + | 11.8178i | −0.702166 | + | 1.12678i | ||||
\(111\) | −5.47041 | + | 0.784396i | −0.519228 | + | 0.0744516i | ||||
\(112\) | −2.28525 | − | 10.4974i | −0.215936 | − | 0.991906i | ||||
\(113\) | −5.75136 | + | 1.01412i | −0.541042 | + | 0.0954004i | −0.437489 | − | 0.899224i | \(-0.644132\pi\) |
−0.103553 | + | 0.994624i | \(0.533021\pi\) | |||||||
\(114\) | −7.95140 | + | 0.868060i | −0.744717 | + | 0.0813013i | ||||
\(115\) | 1.03361 | − | 1.23181i | 0.0963848 | − | 0.114867i | ||||
\(116\) | −6.05743 | + | 6.30357i | −0.562418 | + | 0.585272i | ||||
\(117\) | −0.782359 | − | 1.58160i | −0.0723291 | − | 0.146219i | ||||
\(118\) | −2.18607 | + | 5.42992i | −0.201244 | + | 0.499864i | ||||
\(119\) | 3.42662 | − | 19.4333i | 0.314118 | − | 1.78145i | ||||
\(120\) | −15.7535 | − | 5.00603i | −1.43809 | − | 0.456986i | ||||
\(121\) | 2.33461 | + | 0.849729i | 0.212237 | + | 0.0772481i | ||||
\(122\) | −0.241497 | − | 0.740155i | −0.0218641 | − | 0.0670105i | ||||
\(123\) | 4.14544 | + | 3.71167i | 0.373782 | + | 0.334670i | ||||
\(124\) | −4.70419 | + | 10.6360i | −0.422449 | + | 0.955144i | ||||
\(125\) | 4.04606 | − | 2.33599i | 0.361890 | − | 0.208937i | ||||
\(126\) | −10.2755 | − | 4.92531i | −0.915411 | − | 0.438782i | ||||
\(127\) | 1.06513 | + | 0.614951i | 0.0945147 | + | 0.0545681i | 0.546512 | − | 0.837451i | \(-0.315955\pi\) |
−0.451998 | + | 0.892019i | \(0.649288\pi\) | |||||||
\(128\) | 8.20568 | + | 7.78889i | 0.725286 | + | 0.688447i | ||||
\(129\) | −1.66365 | + | 2.67901i | −0.146476 | + | 0.235874i | ||||
\(130\) | −2.08802 | − | 1.87542i | −0.183131 | − | 0.164485i | ||||
\(131\) | 13.5213 | − | 11.3457i | 1.18136 | − | 0.991278i | 0.181390 | − | 0.983411i | \(-0.441940\pi\) |
0.999969 | − | 0.00786658i | \(-0.00250404\pi\) | |||||||
\(132\) | 1.00387 | − | 10.0588i | 0.0873756 | − | 0.875504i | ||||
\(133\) | −8.24140 | + | 2.99962i | −0.714620 | + | 0.260100i | ||||
\(134\) | 11.2790 | − | 8.83446i | 0.974358 | − | 0.763181i | ||||
\(135\) | −14.4524 | + | 9.92540i | −1.24387 | + | 0.854242i | ||||
\(136\) | 8.52231 | + | 18.9531i | 0.730782 | + | 1.62522i | ||||
\(137\) | −3.54986 | − | 9.75317i | −0.303285 | − | 0.833269i | −0.993924 | − | 0.110069i | \(-0.964893\pi\) |
0.690639 | − | 0.723200i | \(-0.257329\pi\) | |||||||
\(138\) | −0.277855 | + | 1.13381i | −0.0236526 | + | 0.0965166i | ||||
\(139\) | −14.0279 | − | 16.7178i | −1.18983 | − | 1.41798i | −0.885009 | − | 0.465573i | \(-0.845848\pi\) |
−0.304820 | − | 0.952410i | \(-0.598596\pi\) | |||||||
\(140\) | −18.0833 | − | 1.21987i | −1.52832 | − | 0.103098i | ||||
\(141\) | −1.87539 | + | 1.00389i | −0.157936 | + | 0.0845427i | ||||
\(142\) | −0.0587149 | + | 1.74275i | −0.00492724 | + | 0.146248i | ||||
\(143\) | 0.858188 | − | 1.48642i | 0.0717653 | − | 0.124301i | ||||
\(144\) | 11.8650 | − | 1.79473i | 0.988753 | − | 0.149561i | ||||
\(145\) | 7.37437 | + | 12.7728i | 0.612408 | + | 1.06072i | ||||
\(146\) | −2.94686 | + | 1.57152i | −0.243884 | + | 0.130060i | ||||
\(147\) | −0.362003 | − | 0.0758905i | −0.0298575 | − | 0.00625934i | ||||
\(148\) | 3.55536 | − | 5.29908i | 0.292249 | − | 0.435582i | ||||
\(149\) | 1.27723 | − | 3.50915i | 0.104635 | − | 0.287481i | −0.876317 | − | 0.481736i | \(-0.840007\pi\) |
0.980951 | + | 0.194255i | \(0.0622288\pi\) | |||||||
\(150\) | −8.69310 | + | 13.0005i | −0.709789 | + | 1.06149i | ||||
\(151\) | −14.3762 | − | 2.53492i | −1.16992 | − | 0.206289i | −0.445265 | − | 0.895399i | \(-0.646891\pi\) |
−0.724657 | + | 0.689110i | \(0.758002\pi\) | |||||||
\(152\) | 5.40123 | − | 7.49207i | 0.438098 | − | 0.607687i | ||||
\(153\) | 21.4163 | + | 5.21284i | 1.73141 | + | 0.421433i | ||||
\(154\) | −1.55607 | − | 10.9742i | −0.125392 | − | 0.884327i | ||||
\(155\) | 15.0300 | + | 12.6117i | 1.20724 | + | 1.01300i | ||||
\(156\) | 1.96149 | + | 0.551322i | 0.157045 | + | 0.0441411i | ||||
\(157\) | −2.89506 | − | 16.4187i | −0.231051 | − | 1.31036i | −0.850773 | − | 0.525534i | \(-0.823866\pi\) |
0.619722 | − | 0.784822i | \(-0.287245\pi\) | |||||||
\(158\) | −2.85121 | + | 13.4954i | −0.226830 | + | 1.07364i | ||||
\(159\) | −11.8515 | − | 4.74988i | −0.939888 | − | 0.376690i | ||||
\(160\) | 16.4708 | − | 9.64479i | 1.30213 | − | 0.762487i | ||||
\(161\) | 1.27998i | 0.100877i | ||||||||
\(162\) | 6.22684 | − | 11.1007i | 0.489227 | − | 0.872157i | ||||
\(163\) | − | 2.78256i | − | 0.217947i | −0.994045 | − | 0.108973i | \(-0.965244\pi\) | ||
0.994045 | − | 0.108973i | \(-0.0347563\pi\) | |||||||
\(164\) | −6.38821 | + | 0.687300i | −0.498835 | + | 0.0536691i | ||||
\(165\) | −15.8300 | − | 6.34438i | −1.23236 | − | 0.493910i | ||||
\(166\) | 24.8830 | + | 5.25711i | 1.93130 | + | 0.408031i | ||||
\(167\) | 2.46126 | + | 13.9585i | 0.190458 | + | 1.08014i | 0.918740 | + | 0.394863i | \(0.129208\pi\) |
−0.728282 | + | 0.685278i | \(0.759681\pi\) | |||||||
\(168\) | 12.1674 | − | 5.00788i | 0.938737 | − | 0.386366i | ||||
\(169\) | −9.69357 | − | 8.13387i | −0.745659 | − | 0.625682i | ||||
\(170\) | 34.7116 | − | 4.92188i | 2.66226 | − | 0.377491i | ||||
\(171\) | −2.75276 | − | 9.40158i | −0.210509 | − | 0.718957i | ||||
\(172\) | −1.01230 | − | 3.49786i | −0.0771873 | − | 0.266709i | ||||
\(173\) | 1.21493 | + | 0.214226i | 0.0923698 | + | 0.0162873i | 0.219642 | − | 0.975581i | \(-0.429511\pi\) |
−0.127272 | + | 0.991868i | \(0.540622\pi\) | |||||||
\(174\) | −8.90056 | − | 5.95158i | −0.674750 | − | 0.451188i | ||||
\(175\) | −5.86494 | + | 16.1138i | −0.443348 | + | 1.21809i | ||||
\(176\) | 7.85300 | + | 8.63593i | 0.591942 | + | 0.650958i | ||||
\(177\) | −7.01646 | − | 1.47093i | −0.527389 | − | 0.110562i | ||||
\(178\) | 3.69765 | + | 6.93370i | 0.277150 | + | 0.519703i | ||||
\(179\) | 8.60015 | + | 14.8959i | 0.642805 | + | 1.11337i | 0.984804 | + | 0.173671i | \(0.0555630\pi\) |
−0.341998 | + | 0.939701i | \(0.611104\pi\) | |||||||
\(180\) | 2.65623 | − | 20.0697i | 0.197984 | − | 1.49591i | ||||
\(181\) | −10.8176 | + | 18.7366i | −0.804065 | + | 1.39268i | 0.112855 | + | 0.993611i | \(0.464000\pi\) |
−0.916920 | + | 0.399071i | \(0.869333\pi\) | |||||||
\(182\) | 2.23279 | + | 0.0752248i | 0.165506 | + | 0.00557604i | ||||
\(183\) | 0.840667 | − | 0.450005i | 0.0621439 | − | 0.0332654i | ||||
\(184\) | −0.757880 | − | 1.11472i | −0.0558716 | − | 0.0821782i | ||||
\(185\) | −6.91999 | − | 8.24693i | −0.508768 | − | 0.606326i | ||||
\(186\) | −13.8343 | − | 3.39026i | −1.01438 | − | 0.248586i | ||||
\(187\) | 7.33297 | + | 20.1472i | 0.536240 | + | 1.47331i | ||||
\(188\) | 0.588364 | − | 2.38474i | 0.0429109 | − | 0.173925i | ||||
\(189\) | 3.73426 | − | 13.4470i | 0.271627 | − | 0.978123i | ||||
\(190\) | −9.60815 | − | 12.2668i | −0.697048 | − | 0.889925i | ||||
\(191\) | 4.48414 | − | 1.63210i | 0.324461 | − | 0.118094i | −0.174654 | − | 0.984630i | \(-0.555881\pi\) |
0.499115 | + | 0.866536i | \(0.333658\pi\) | |||||||
\(192\) | −7.63126 | + | 11.5656i | −0.550739 | + | 0.834677i | ||||
\(193\) | 6.94036 | − | 5.82365i | 0.499578 | − | 0.419196i | −0.357866 | − | 0.933773i | \(-0.616496\pi\) |
0.857444 | + | 0.514577i | \(0.172051\pi\) | |||||||
\(194\) | −10.0060 | + | 11.1403i | −0.718392 | + | 0.799828i | ||||
\(195\) | 1.81338 | − | 2.92013i | 0.129859 | − | 0.209115i | ||||
\(196\) | 0.344907 | − | 0.251887i | 0.0246362 | − | 0.0179919i | ||||
\(197\) | 1.80241 | + | 1.04062i | 0.128416 | + | 0.0741411i | 0.562832 | − | 0.826571i | \(-0.309712\pi\) |
−0.434416 | + | 0.900712i | \(0.643045\pi\) | |||||||
\(198\) | 12.3443 | − | 0.947743i | 0.877271 | − | 0.0673531i | ||||
\(199\) | 9.74989 | − | 5.62910i | 0.691151 | − | 0.399036i | −0.112892 | − | 0.993607i | \(-0.536011\pi\) |
0.804043 | + | 0.594571i | \(0.202678\pi\) | |||||||
\(200\) | −4.43330 | − | 17.5059i | −0.313481 | − | 1.23785i | ||||
\(201\) | 13.0727 | + | 11.7048i | 0.922074 | + | 0.825589i | ||||
\(202\) | −11.4988 | + | 3.75182i | −0.809054 | + | 0.263977i | ||||
\(203\) | −11.0320 | − | 4.01533i | −0.774296 | − | 0.281821i | ||||
\(204\) | −21.0252 | + | 14.3428i | −1.47206 | + | 1.00420i | ||||
\(205\) | −1.88225 | + | 10.6748i | −0.131462 | + | 0.745560i | ||||
\(206\) | −22.2467 | − | 8.95646i | −1.55000 | − | 0.624026i | ||||
\(207\) | −1.42677 | − | 0.0917670i | −0.0991676 | − | 0.00637825i | ||||
\(208\) | −1.98905 | + | 1.25653i | −0.137916 | + | 0.0871245i | ||||
\(209\) | 6.12512 | − | 7.29964i | 0.423684 | − | 0.504926i | ||||
\(210\) | −2.40904 | − | 22.0667i | −0.166239 | − | 1.52275i | ||||
\(211\) | −5.42064 | + | 0.955805i | −0.373172 | + | 0.0658003i | −0.357089 | − | 0.934070i | \(-0.616231\pi\) |
−0.0160832 | + | 0.999871i | \(0.505120\pi\) | |||||||
\(212\) | 13.2351 | − | 6.49551i | 0.908993 | − | 0.446113i | ||||
\(213\) | −2.11401 | + | 0.303126i | −0.144850 | + | 0.0207699i | ||||
\(214\) | −4.48249 | − | 2.79332i | −0.306417 | − | 0.190948i | ||||
\(215\) | −6.14325 | −0.418966 | ||||||||
\(216\) | 4.70985 | + | 13.9218i | 0.320465 | + | 0.947260i | ||||
\(217\) | −15.6178 | −1.06021 | ||||||||
\(218\) | −12.7299 | − | 7.93278i | −0.862176 | − | 0.537276i | ||||
\(219\) | −2.52723 | − | 3.21615i | −0.170774 | − | 0.217327i | ||||
\(220\) | 17.6781 | − | 8.67600i | 1.19185 | − | 0.584936i | ||||
\(221\) | −4.25578 | + | 0.750408i | −0.286275 | + | 0.0504779i | ||||
\(222\) | 7.15249 | + | 3.15010i | 0.480044 | + | 0.211421i | ||||
\(223\) | −3.51114 | + | 4.18441i | −0.235123 | + | 0.280209i | −0.870685 | − | 0.491841i | \(-0.836324\pi\) |
0.635562 | + | 0.772050i | \(0.280769\pi\) | |||||||
\(224\) | −5.10859 | + | 14.3086i | −0.341332 | + | 0.956033i | ||||
\(225\) | −17.5412 | − | 7.69279i | −1.16942 | − | 0.512853i | ||||
\(226\) | 7.66152 | + | 3.08451i | 0.509637 | + | 0.205179i | ||||
\(227\) | 0.257802 | − | 1.46207i | 0.0171109 | − | 0.0970410i | −0.975056 | − | 0.221958i | \(-0.928755\pi\) |
0.992167 | + | 0.124917i | \(0.0398664\pi\) | |||||||
\(228\) | 10.1929 | + | 4.90533i | 0.675038 | + | 0.324863i | ||||
\(229\) | 24.4836 | + | 8.91131i | 1.61792 | + | 0.588876i | 0.982985 | − | 0.183688i | \(-0.0588035\pi\) |
0.634938 | + | 0.772563i | \(0.281026\pi\) | |||||||
\(230\) | −2.16191 | + | 0.705385i | −0.142552 | + | 0.0465117i | ||||
\(231\) | 12.8989 | − | 4.23095i | 0.848684 | − | 0.278376i | ||||
\(232\) | 11.9851 | − | 3.03518i | 0.786861 | − | 0.199269i | ||||
\(233\) | 5.81401 | − | 3.35672i | 0.380889 | − | 0.219906i | −0.297316 | − | 0.954779i | \(-0.596092\pi\) |
0.678205 | + | 0.734873i | \(0.262758\pi\) | |||||||
\(234\) | −0.243929 | + | 2.48346i | −0.0159462 | + | 0.162349i | ||||
\(235\) | −3.58867 | − | 2.07192i | −0.234099 | − | 0.135157i | ||||
\(236\) | 6.68509 | − | 4.88214i | 0.435163 | − | 0.317801i | ||||
\(237\) | −16.8846 | − | 0.542429i | −1.09677 | − | 0.0352346i | ||||
\(238\) | −18.6479 | + | 20.7618i | −1.20876 | + | 1.34579i | ||||
\(239\) | −15.7014 | + | 13.1750i | −1.01564 | + | 0.852223i | −0.989073 | − | 0.147424i | \(-0.952902\pi\) |
−0.0265665 | + | 0.999647i | \(0.508457\pi\) | |||||||
\(240\) | 15.1637 | + | 17.7912i | 0.978813 | + | 1.14841i | ||||
\(241\) | −11.8674 | + | 4.31940i | −0.764449 | + | 0.278237i | −0.694673 | − | 0.719326i | \(-0.744451\pi\) |
−0.0697765 | + | 0.997563i | \(0.522229\pi\) | |||||||
\(242\) | −2.16654 | − | 2.76604i | −0.139271 | − | 0.177808i | ||||
\(243\) | 14.7214 | + | 5.12657i | 0.944375 | + | 0.328870i | ||||
\(244\) | −0.263741 | + | 1.06899i | −0.0168843 | + | 0.0684351i | ||||
\(245\) | −0.246436 | − | 0.677076i | −0.0157442 | − | 0.0432568i | ||||
\(246\) | −2.19940 | − | 7.55546i | −0.140229 | − | 0.481718i | ||||
\(247\) | 1.23456 | + | 1.47130i | 0.0785535 | + | 0.0936164i | ||||
\(248\) | 13.6013 | − | 9.24732i | 0.863685 | − | 0.587206i | ||||
\(249\) | −1.00014 | + | 31.1320i | −0.0633813 | + | 1.97291i | ||||
\(250\) | −6.60343 | − | 0.222476i | −0.417638 | − | 0.0140706i | ||||
\(251\) | 6.38939 | − | 11.0668i | 0.403295 | − | 0.698527i | −0.590827 | − | 0.806799i | \(-0.701198\pi\) |
0.994121 | + | 0.108272i | \(0.0345316\pi\) | |||||||
\(252\) | 8.64916 | + | 13.5970i | 0.544846 | + | 0.856533i | ||||
\(253\) | −0.695355 | − | 1.20439i | −0.0437166 | − | 0.0757194i | ||||
\(254\) | −0.818458 | − | 1.53475i | −0.0513546 | − | 0.0962985i | ||||
\(255\) | 13.3825 | + | 40.7993i | 0.838048 | + | 2.55495i | ||||
\(256\) | −4.02313 | − | 15.4859i | −0.251446 | − | 0.967871i | ||||
\(257\) | −3.40030 | + | 9.34225i | −0.212105 | + | 0.582754i | −0.999429 | − | 0.0337856i | \(-0.989244\pi\) |
0.787324 | + | 0.616539i | \(0.211466\pi\) | |||||||
\(258\) | 4.00053 | − | 1.97114i | 0.249062 | − | 0.122718i | ||||
\(259\) | 8.43926 | + | 1.48807i | 0.524390 | + | 0.0924641i | ||||
\(260\) | 1.10341 | + | 3.81268i | 0.0684307 | + | 0.236452i | ||||
\(261\) | 5.26673 | − | 12.0093i | 0.326003 | − | 0.743357i | ||||
\(262\) | −24.7147 | + | 3.50440i | −1.52688 | + | 0.216502i | ||||
\(263\) | −14.9780 | − | 12.5681i | −0.923586 | − | 0.774981i | 0.0510689 | − | 0.998695i | \(-0.483737\pi\) |
−0.974655 | + | 0.223715i | \(0.928182\pi\) | |||||||
\(264\) | −8.72830 | + | 11.3221i | −0.537190 | + | 0.696828i | ||||
\(265\) | −4.31907 | − | 24.4947i | −0.265318 | − | 1.50470i | ||||
\(266\) | 12.1352 | + | 2.56384i | 0.744058 | + | 0.157199i | ||||
\(267\) | −7.56732 | + | 5.94633i | −0.463112 | + | 0.363910i | ||||
\(268\) | −20.1452 | + | 2.16740i | −1.23056 | + | 0.132395i | ||||
\(269\) | 30.3293i | 1.84921i | 0.380930 | + | 0.924604i | \(0.375604\pi\) | ||||
−0.380930 | + | 0.924604i | \(0.624396\pi\) | |||||||
\(270\) | 24.7700 | − | 1.10326i | 1.50746 | − | 0.0671422i | ||||
\(271\) | 19.1257i | 1.16181i | 0.813973 | + | 0.580903i | \(0.197301\pi\) | ||||
−0.813973 | + | 0.580903i | \(0.802699\pi\) | |||||||
\(272\) | 3.94708 | − | 29.1225i | 0.239327 | − | 1.76581i | ||||
\(273\) | 0.388362 | + | 2.70845i | 0.0235048 | + | 0.163923i | ||||
\(274\) | −3.03414 | + | 14.3613i | −0.183299 | + | 0.867595i | ||||
\(275\) | −3.23530 | − | 18.3483i | −0.195096 | − | 1.10644i | ||||
\(276\) | 1.18152 | − | 1.15303i | 0.0711193 | − | 0.0694042i | ||||
\(277\) | 7.54011 | + | 6.32690i | 0.453041 | + | 0.380147i | 0.840563 | − | 0.541714i | \(-0.182224\pi\) |
−0.387522 | + | 0.921861i | \(0.626669\pi\) | |||||||
\(278\) | 4.33285 | + | 30.5574i | 0.259867 | + | 1.83271i | ||||
\(279\) | 1.11970 | − | 17.4089i | 0.0670348 | − | 1.04224i | ||||
\(280\) | 20.7920 | + | 14.9895i | 1.24256 | + | 0.895793i | ||||
\(281\) | −22.8259 | − | 4.02483i | −1.36168 | − | 0.240101i | −0.555375 | − | 0.831600i | \(-0.687425\pi\) |
−0.806306 | + | 0.591499i | \(0.798537\pi\) | |||||||
\(282\) | 3.00177 | + | 0.197781i | 0.178753 | + | 0.0117777i | ||||
\(283\) | 5.96637 | − | 16.3925i | 0.354664 | − | 0.974432i | −0.626187 | − | 0.779673i | \(-0.715385\pi\) |
0.980851 | − | 0.194759i | \(-0.0623924\pi\) | |||||||
\(284\) | 1.37395 | − | 2.04781i | 0.0815292 | − | 0.121515i | ||||
\(285\) | 12.7298 | − | 14.2175i | 0.754049 | − | 0.842172i | ||||
\(286\) | −2.14180 | + | 1.14219i | −0.126647 | + | 0.0675391i | ||||
\(287\) | −4.31412 | − | 7.47228i | −0.254655 | − | 0.441075i | ||||
\(288\) | −15.5833 | − | 6.72029i | −0.918252 | − | 0.395997i | ||||
\(289\) | 18.4907 | − | 32.0268i | 1.08769 | − | 1.88393i | ||||
\(290\) | 0.702321 | − | 20.8460i | 0.0412417 | − | 1.22412i | ||||
\(291\) | −15.5799 | − | 9.67505i | −0.913312 | − | 0.567162i | ||||
\(292\) | 4.71235 | + | 0.317888i | 0.275770 | + | 0.0186030i | ||||
\(293\) | 12.2291 | + | 14.5741i | 0.714431 | + | 0.851426i | 0.994077 | − | 0.108678i | \(-0.0346616\pi\) |
−0.279646 | + | 0.960103i | \(0.590217\pi\) | |||||||
\(294\) | 0.377729 | + | 0.361846i | 0.0220296 | + | 0.0211033i | ||||
\(295\) | −4.77649 | − | 13.1233i | −0.278098 | − | 0.764068i | ||||
\(296\) | −8.23071 | + | 3.70095i | −0.478400 | + | 0.215114i | ||||
\(297\) | 3.79139 | + | 14.6815i | 0.219999 | + | 0.851905i | ||||
\(298\) | −4.15763 | + | 3.25653i | −0.240845 | + | 0.188646i | ||||
\(299\) | 0.263404 | − | 0.0958711i | 0.0152330 | − | 0.00554437i | ||||
\(300\) | 20.1575 | − | 9.10176i | 1.16379 | − | 0.525490i | ||||
\(301\) | 3.74599 | − | 3.14326i | 0.215915 | − | 0.181174i | ||||
\(302\) | 15.3590 | + | 13.7952i | 0.883809 | + | 0.793822i | ||||
\(303\) | −6.99114 | − | 13.0603i | −0.401631 | − | 0.750297i | ||||
\(304\) | −12.0864 | + | 4.95246i | −0.693205 | + | 0.284043i | ||||
\(305\) | 1.60867 | + | 0.928763i | 0.0921119 | + | 0.0531808i | ||||
\(306\) | −21.8058 | − | 22.2749i | −1.24655 | − | 1.27337i | ||||
\(307\) | 14.3110 | − | 8.26248i | 0.816773 | − | 0.471564i | −0.0325291 | − | 0.999471i | \(-0.510356\pi\) |
0.849303 | + | 0.527906i | \(0.177023\pi\) | |||||||
\(308\) | −6.34045 | + | 14.3356i | −0.361280 | + | 0.816844i | ||||
\(309\) | 6.02649 | − | 28.7468i | 0.342835 | − | 1.63535i | ||||
\(310\) | −8.60680 | − | 26.3787i | −0.488834 | − | 1.49821i | ||||
\(311\) | −1.95536 | − | 0.711694i | −0.110879 | − | 0.0403565i | 0.285985 | − | 0.958234i | \(-0.407679\pi\) |
−0.396864 | + | 0.917878i | \(0.629901\pi\) | |||||||
\(312\) | −1.94190 | − | 2.12880i | −0.109938 | − | 0.120520i | ||||
\(313\) | −0.0264293 | + | 0.149888i | −0.00149387 | + | 0.00847218i | −0.985546 | − | 0.169410i | \(-0.945814\pi\) |
0.984052 | + | 0.177883i | \(0.0569248\pi\) | |||||||
\(314\) | −8.80552 | + | 21.8717i | −0.496924 | + | 1.23429i | ||||
\(315\) | 26.0912 | − | 7.63946i | 1.47007 | − | 0.430435i | ||||
\(316\) | 13.5160 | − | 14.0652i | 0.760332 | − | 0.791228i | ||||
\(317\) | −4.31448 | + | 5.14180i | −0.242325 | + | 0.288792i | −0.873475 | − | 0.486869i | \(-0.838139\pi\) |
0.631150 | + | 0.775661i | \(0.282583\pi\) | |||||||
\(318\) | 10.6720 | + | 14.5653i | 0.598458 | + | 0.816782i | ||||
\(319\) | 12.5618 | − | 2.21499i | 0.703327 | − | 0.124016i | ||||
\(320\) | −26.9827 | − | 0.743184i | −1.50838 | − | 0.0415452i | ||||
\(321\) | 2.40644 | − | 6.00435i | 0.134314 | − | 0.335130i | ||||
\(322\) | 0.957358 | − | 1.53629i | 0.0533515 | − | 0.0856141i | ||||
\(323\) | −23.9918 | −1.33494 | ||||||||
\(324\) | −15.7765 | + | 8.66623i | −0.876470 | + | 0.481457i | ||||
\(325\) | 3.75529 | 0.208306 | ||||||||
\(326\) | −2.08120 | + | 3.33974i | −0.115267 | + | 0.184971i | ||||
\(327\) | 6.83405 | − | 17.0518i | 0.377924 | − | 0.942966i | ||||
\(328\) | 8.18145 | + | 3.95310i | 0.451745 | + | 0.218274i | ||||
\(329\) | 3.24840 | − | 0.572780i | 0.179090 | − | 0.0315784i | ||||
\(330\) | 14.2546 | + | 19.4548i | 0.784688 | + | 1.07095i | ||||
\(331\) | 8.49106 | − | 10.1192i | 0.466711 | − | 0.556204i | −0.480426 | − | 0.877035i | \(-0.659518\pi\) |
0.947136 | + | 0.320831i | \(0.103962\pi\) | |||||||
\(332\) | −25.9336 | − | 24.9209i | −1.42329 | − | 1.36771i | ||||
\(333\) | −2.26376 | + | 9.30039i | −0.124054 | + | 0.509658i | ||||
\(334\) | 7.48609 | − | 18.5944i | 0.409620 | − | 1.01744i | ||||
\(335\) | −5.93569 | + | 33.6630i | −0.324301 | + | 1.83920i | ||||
\(336\) | −18.3495 | − | 3.08991i | −1.00105 | − | 0.168568i | ||||
\(337\) | 18.1807 | + | 6.61722i | 0.990364 | + | 0.360463i | 0.785861 | − | 0.618403i | \(-0.212220\pi\) |
0.204503 | + | 0.978866i | \(0.434442\pi\) | |||||||
\(338\) | 5.55093 | + | 17.0129i | 0.301931 | + | 0.925377i | ||||
\(339\) | −2.07546 | + | 9.90011i | −0.112724 | + | 0.537700i | ||||
\(340\) | −45.3435 | − | 20.0549i | −2.45910 | − | 1.08763i | ||||
\(341\) | 14.6955 | − | 8.48443i | 0.795804 | − | 0.459458i | ||||
\(342\) | −3.72789 | + | 13.3431i | −0.201581 | + | 0.721511i | ||||
\(343\) | −15.7851 | − | 9.11354i | −0.852316 | − | 0.492085i | ||||
\(344\) | −1.40120 | + | 4.95542i | −0.0755477 | + | 0.267178i | ||||
\(345\) | −1.31442 | − | 2.45549i | −0.0707658 | − | 0.132199i | ||||
\(346\) | −1.29799 | − | 1.16583i | −0.0697801 | − | 0.0626753i | ||||
\(347\) | −9.79587 | + | 8.21971i | −0.525870 | + | 0.441257i | −0.866672 | − | 0.498878i | \(-0.833746\pi\) |
0.340803 | + | 0.940135i | \(0.389301\pi\) | |||||||
\(348\) | 6.23136 | + | 13.8005i | 0.334036 | + | 0.739782i | ||||
\(349\) | 11.3836 | − | 4.14328i | 0.609348 | − | 0.221785i | −0.0188700 | − | 0.999822i | \(-0.506007\pi\) |
0.628218 | + | 0.778037i | \(0.283785\pi\) | |||||||
\(350\) | 19.0916 | − | 14.9538i | 1.02049 | − | 0.799313i | ||||
\(351\) | −3.04690 | + | 0.238720i | −0.162632 | + | 0.0127420i | ||||
\(352\) | −2.96630 | − | 16.2388i | −0.158104 | − | 0.865532i | ||||
\(353\) | 6.82994 | + | 18.7651i | 0.363521 | + | 0.998766i | 0.977775 | + | 0.209657i | \(0.0672348\pi\) |
−0.614254 | + | 0.789108i | \(0.710543\pi\) | |||||||
\(354\) | 7.32127 | + | 7.01340i | 0.389121 | + | 0.372758i | ||||
\(355\) | −2.67420 | − | 3.18699i | −0.141932 | − | 0.169148i | ||||
\(356\) | 0.747961 | − | 11.0877i | 0.0396419 | − | 0.587649i | ||||
\(357\) | −29.0357 | − | 18.0310i | −1.53673 | − | 0.954302i | ||||
\(358\) | 0.819063 | − | 24.3111i | 0.0432888 | − | 1.28488i | ||||
\(359\) | 10.5259 | − | 18.2314i | 0.555535 | − | 0.962214i | −0.442327 | − | 0.896854i | \(-0.645847\pi\) |
0.997862 | − | 0.0653605i | \(-0.0208197\pi\) | |||||||
\(360\) | −18.1991 | + | 22.1017i | −0.959179 | + | 1.16486i | ||||
\(361\) | −4.16848 | − | 7.22001i | −0.219393 | − | 0.380001i | ||||
\(362\) | 26.9977 | − | 14.3975i | 1.41897 | − | 0.756715i | ||||
\(363\) | 2.87045 | − | 3.20591i | 0.150659 | − | 0.168267i | ||||
\(364\) | −2.62363 | − | 1.76030i | −0.137515 | − | 0.0922646i | ||||
\(365\) | 2.72524 | − | 7.48755i | 0.142646 | − | 0.391916i | ||||
\(366\) | −1.34558 | − | 0.0886576i | −0.0703347 | − | 0.00463421i | ||||
\(367\) | 27.4150 | + | 4.83400i | 1.43105 | + | 0.252333i | 0.834838 | − | 0.550495i | \(-0.185561\pi\) |
0.596211 | + | 0.802828i | \(0.296672\pi\) | |||||||
\(368\) | 0.0758892 | + | 1.90478i | 0.00395600 | + | 0.0992937i | ||||
\(369\) | 8.63850 | − | 4.27315i | 0.449702 | − | 0.222451i | ||||
\(370\) | 2.13741 | + | 15.0741i | 0.111119 | + | 0.783664i | ||||
\(371\) | 15.1666 | + | 12.7263i | 0.787411 | + | 0.660717i | ||||
\(372\) | 14.0688 | + | 14.4164i | 0.729432 | + | 0.747457i | ||||
\(373\) | 1.03662 | + | 5.87895i | 0.0536740 | + | 0.304400i | 0.999813 | − | 0.0193617i | \(-0.00616340\pi\) |
−0.946139 | + | 0.323762i | \(0.895052\pi\) | |||||||
\(374\) | 6.26765 | − | 29.6661i | 0.324092 | − | 1.53400i | ||||
\(375\) | −1.14857 | − | 8.01018i | −0.0593120 | − | 0.413644i | ||||
\(376\) | −2.48984 | + | 2.42220i | −0.128404 | + | 0.124916i | ||||
\(377\) | 2.57099i | 0.132413i | ||||||||
\(378\) | −14.5396 | + | 13.3466i | −0.747837 | + | 0.686474i | ||||
\(379\) | 14.2394i | 0.731429i | 0.930727 | + | 0.365715i | \(0.119175\pi\) | ||||
−0.930727 | + | 0.365715i | \(0.880825\pi\) | |||||||
\(380\) | 2.35721 | + | 21.9095i | 0.120922 | + | 1.12393i | ||||
\(381\) | 1.67499 | − | 1.31620i | 0.0858125 | − | 0.0674308i | ||||
\(382\) | −6.60277 | − | 1.39499i | −0.337827 | − | 0.0713737i | ||||
\(383\) | 2.77843 | + | 15.7573i | 0.141971 | + | 0.805159i | 0.969749 | + | 0.244103i | \(0.0784935\pi\) |
−0.827778 | + | 0.561056i | \(0.810395\pi\) | |||||||
\(384\) | 17.8098 | − | 8.17377i | 0.908853 | − | 0.417116i | ||||
\(385\) | 20.2579 | + | 16.9984i | 1.03244 | + | 0.866319i | ||||
\(386\) | −12.6859 | + | 1.79878i | −0.645694 | + | 0.0915554i | ||||
\(387\) | 3.23516 | + | 4.40093i | 0.164453 | + | 0.223712i | ||||
\(388\) | 20.3420 | − | 5.88710i | 1.03271 | − | 0.298872i | ||||
\(389\) | 17.5295 | + | 3.09093i | 0.888782 | + | 0.156716i | 0.599355 | − | 0.800484i | \(-0.295424\pi\) |
0.289427 | + | 0.957200i | \(0.406535\pi\) | |||||||
\(390\) | −4.36059 | + | 2.14855i | −0.220807 | + | 0.108796i | ||||
\(391\) | −1.19758 | + | 3.29032i | −0.0605641 | + | 0.166399i | ||||
\(392\) | −0.602369 | + | 0.0443531i | −0.0304242 | + | 0.00224017i | ||||
\(393\) | −9.52841 | − | 29.0492i | −0.480645 | − | 1.46534i | ||||
\(394\) | −1.38500 | − | 2.59710i | −0.0697751 | − | 0.130840i | ||||
\(395\) | −16.4544 | − | 28.4999i | −0.827913 | − | 1.43399i | ||||
\(396\) | −15.5250 | − | 8.09534i | −0.780160 | − | 0.406806i | ||||
\(397\) | −9.34449 | + | 16.1851i | −0.468987 | + | 0.812309i | −0.999372 | − | 0.0354484i | \(-0.988714\pi\) |
0.530385 | + | 0.847757i | \(0.322047\pi\) | |||||||
\(398\) | −15.9125 | − | 0.536106i | −0.797620 | − | 0.0268725i | ||||
\(399\) | −0.487759 | + | 15.1828i | −0.0244185 | + | 0.760090i | ||||
\(400\) | −7.77242 | + | 24.3272i | −0.388621 | + | 1.21636i | ||||
\(401\) | −19.8603 | − | 23.6686i | −0.991778 | − | 1.18195i | −0.983300 | − | 0.181991i | \(-0.941746\pi\) |
−0.00847759 | − | 0.999964i | \(-0.502699\pi\) | |||||||
\(402\) | −6.93582 | − | 23.8261i | −0.345927 | − | 1.18834i | ||||
\(403\) | 1.16978 | + | 3.21394i | 0.0582708 | + | 0.160098i | ||||
\(404\) | 16.6075 | + | 4.09740i | 0.826254 | + | 0.203853i | ||||
\(405\) | 6.64498 | + | 29.6311i | 0.330192 | + | 1.47238i | ||||
\(406\) | 10.2378 | + | 13.0707i | 0.508095 | + | 0.648688i | ||||
\(407\) | −8.74925 | + | 3.18447i | −0.433684 | + | 0.157848i | ||||
\(408\) | 35.9630 | − | 1.48913i | 1.78043 | − | 0.0737230i | ||||
\(409\) | −18.8560 | + | 15.8220i | −0.932368 | + | 0.782349i | −0.976241 | − | 0.216688i | \(-0.930475\pi\) |
0.0438734 | + | 0.999037i | \(0.486030\pi\) | |||||||
\(410\) | 10.2433 | − | 11.4045i | 0.505881 | − | 0.563228i | ||||
\(411\) | −17.9679 | − | 0.577231i | −0.886289 | − | 0.0284727i | ||||
\(412\) | 20.0024 | + | 27.3892i | 0.985448 | + | 1.34937i | ||||
\(413\) | 9.62725 | + | 5.55829i | 0.473726 | + | 0.273506i | ||||
\(414\) | 1.64384 | + | 1.17729i | 0.0807901 | + | 0.0578607i | ||||
\(415\) | −52.5486 | + | 30.3390i | −2.57951 | + | 1.48928i | ||||
\(416\) | 3.32715 | − | 0.0204361i | 0.163127 | − | 0.00100196i | ||||
\(417\) | −35.9166 | + | 11.7810i | −1.75885 | + | 0.576917i | ||||
\(418\) | −12.8114 | + | 4.18007i | −0.626624 | + | 0.204454i | ||||
\(419\) | 7.48245 | + | 2.72339i | 0.365542 | + | 0.133046i | 0.518259 | − | 0.855224i | \(-0.326580\pi\) |
−0.152718 | + | 0.988270i | \(0.548802\pi\) | |||||||
\(420\) | −13.6133 | + | 28.2872i | −0.664259 | + | 1.38027i | ||||
\(421\) | −0.713817 | + | 4.04826i | −0.0347893 | + | 0.197300i | −0.997249 | − | 0.0741247i | \(-0.976384\pi\) |
0.962460 | + | 0.271425i | \(0.0874948\pi\) | |||||||
\(422\) | 7.22096 | + | 2.90715i | 0.351511 | + | 0.141518i | ||||
\(423\) | 0.405577 | + | 3.66199i | 0.0197198 | + | 0.178052i | ||||
\(424\) | −20.7436 | − | 2.10298i | −1.00740 | − | 0.102130i | ||||
\(425\) | −30.1527 | + | 35.9346i | −1.46262 | + | 1.74309i | ||||
\(426\) | 2.76405 | + | 1.21734i | 0.133919 | + | 0.0589804i | ||||
\(427\) | −1.45613 | + | 0.256755i | −0.0704672 | + | 0.0124253i | ||||
\(428\) | 3.29082 | + | 6.70532i | 0.159068 | + | 0.324114i | ||||
\(429\) | −1.83680 | − | 2.33752i | −0.0886816 | − | 0.112856i | ||||
\(430\) | 7.37338 | + | 4.59481i | 0.355576 | + | 0.221582i | ||||
\(431\) | 34.6402 | 1.66856 | 0.834281 | − | 0.551340i | \(-0.185883\pi\) | ||||
0.834281 | + | 0.551340i | \(0.185883\pi\) | |||||||
\(432\) | 4.75981 | − | 20.2323i | 0.229006 | − | 0.973425i | ||||
\(433\) | −8.55521 | −0.411137 | −0.205569 | − | 0.978643i | \(-0.565904\pi\) | ||||
−0.205569 | + | 0.978643i | \(0.565904\pi\) | |||||||
\(434\) | 18.7451 | + | 11.6813i | 0.899796 | + | 0.560719i | ||||
\(435\) | 25.2869 | − | 3.62587i | 1.21242 | − | 0.173847i | ||||
\(436\) | 9.34563 | + | 19.0425i | 0.447574 | + | 0.911970i | ||||
\(437\) | 1.53258 | − | 0.270235i | 0.0733131 | − | 0.0129271i | ||||
\(438\) | 0.627773 | + | 5.75038i | 0.0299962 | + | 0.274764i | ||||
\(439\) | 5.14956 | − | 6.13700i | 0.245775 | − | 0.292903i | −0.629027 | − | 0.777383i | \(-0.716547\pi\) |
0.874802 | + | 0.484480i | \(0.160991\pi\) | |||||||
\(440\) | −27.7071 | − | 2.80894i | −1.32088 | − | 0.133911i | ||||
\(441\) | −0.355269 | + | 0.533105i | −0.0169176 | + | 0.0253860i | ||||
\(442\) | 5.66922 | + | 2.28242i | 0.269657 | + | 0.108564i | ||||
\(443\) | 1.37913 | − | 7.82143i | 0.0655244 | − | 0.371607i | −0.934359 | − | 0.356333i | \(-0.884027\pi\) |
0.999883 | − | 0.0152741i | \(-0.00486210\pi\) | |||||||
\(444\) | −6.22861 | − | 9.13055i | −0.295597 | − | 0.433317i | ||||
\(445\) | −17.6175 | − | 6.41226i | −0.835151 | − | 0.303970i | ||||
\(446\) | 7.34392 | − | 2.39616i | 0.347745 | − | 0.113462i | ||||
\(447\) | −4.81880 | − | 4.31457i | −0.227922 | − | 0.204072i | ||||
\(448\) | 16.8336 | − | 13.3528i | 0.795312 | − | 0.630861i | ||||
\(449\) | 0.748371 | − | 0.432072i | 0.0353178 | − | 0.0203907i | −0.482237 | − | 0.876041i | \(-0.660176\pi\) |
0.517555 | + | 0.855650i | \(0.326842\pi\) | |||||||
\(450\) | 15.2999 | + | 22.3531i | 0.721246 | + | 1.05373i | ||||
\(451\) | 8.11868 | + | 4.68732i | 0.382294 | + | 0.220717i | ||||
\(452\) | −6.88863 | − | 9.43256i | −0.324014 | − | 0.443670i | ||||
\(453\) | −13.3388 | + | 21.4798i | −0.626713 | + | 1.00921i | ||||
\(454\) | −1.40297 | + | 1.56201i | −0.0658448 | + | 0.0733090i | ||||
\(455\) | −4.08314 | + | 3.42616i | −0.191420 | + | 0.160621i | ||||
\(456\) | −8.56496 | − | 13.5113i | −0.401091 | − | 0.632723i | ||||
\(457\) | 27.5979 | − | 10.0448i | 1.29098 | − | 0.469877i | 0.396930 | − | 0.917849i | \(-0.370076\pi\) |
0.894048 | + | 0.447972i | \(0.147853\pi\) | |||||||
\(458\) | −22.7211 | − | 29.0081i | −1.06169 | − | 1.35546i | ||||
\(459\) | 22.1805 | − | 31.0728i | 1.03530 | − | 1.45036i | ||||
\(460\) | 3.12240 | + | 0.770359i | 0.145583 | + | 0.0359182i | ||||
\(461\) | −1.96584 | − | 5.40111i | −0.0915585 | − | 0.251555i | 0.885458 | − | 0.464720i | \(-0.153845\pi\) |
−0.977016 | + | 0.213165i | \(0.931623\pi\) | |||||||
\(462\) | −18.6463 | − | 4.56950i | −0.867504 | − | 0.212592i | ||||
\(463\) | −17.6836 | − | 21.0745i | −0.821825 | − | 0.979413i | 0.178164 | − | 0.984001i | \(-0.442984\pi\) |
−0.999989 | + | 0.00458769i | \(0.998540\pi\) | |||||||
\(464\) | −16.6552 | − | 5.32125i | −0.773196 | − | 0.247033i | ||||
\(465\) | 29.9609 | − | 16.0379i | 1.38940 | − | 0.743742i | ||||
\(466\) | −9.48886 | − | 0.319688i | −0.439563 | − | 0.0148093i | ||||
\(467\) | −8.41790 | + | 14.5802i | −0.389534 | + | 0.674692i | −0.992387 | − | 0.123160i | \(-0.960697\pi\) |
0.602853 | + | 0.797852i | \(0.294031\pi\) | |||||||
\(468\) | 2.15027 | − | 2.79830i | 0.0993960 | − | 0.129352i | ||||
\(469\) | −13.6046 | − | 23.5638i | −0.628202 | − | 1.08808i | ||||
\(470\) | 2.75759 | + | 5.17093i | 0.127198 | + | 0.238517i | ||||
\(471\) | −28.2624 | − | 5.92493i | −1.30226 | − | 0.273006i | ||||
\(472\) | −11.6753 | + | 0.859665i | −0.537399 | + | 0.0395693i | ||||
\(473\) | −1.81717 | + | 4.99264i | −0.0835537 | + | 0.229562i | ||||
\(474\) | 19.8598 | + | 13.2798i | 0.912192 | + | 0.609960i | ||||
\(475\) | 20.5319 | + | 3.62033i | 0.942069 | + | 0.166112i | ||||
\(476\) | 37.9106 | − | 10.9716i | 1.73763 | − | 0.502880i | ||||
\(477\) | −15.2731 | + | 15.9935i | −0.699308 | + | 0.732293i | ||||
\(478\) | 28.6997 | − | 4.06944i | 1.31269 | − | 0.186132i | ||||
\(479\) | −1.69205 | − | 1.41980i | −0.0773119 | − | 0.0648724i | 0.603313 | − | 0.797505i | \(-0.293847\pi\) |
−0.680625 | + | 0.732632i | \(0.738292\pi\) | |||||||
\(480\) | −4.89328 | − | 32.6953i | −0.223347 | − | 1.49233i | ||||
\(481\) | −0.325877 | − | 1.84814i | −0.0148587 | − | 0.0842680i | ||||
\(482\) | 17.4745 | + | 3.69188i | 0.795940 | + | 0.168161i | ||||
\(483\) | 2.05788 | + | 0.824760i | 0.0936366 | + | 0.0375279i | ||||
\(484\) | 0.531529 | + | 4.94037i | 0.0241604 | + | 0.224562i | ||||
\(485\) | − | 35.7264i | − | 1.62225i | ||||||
\(486\) | −13.8348 | − | 17.1639i | −0.627558 | − | 0.778570i | ||||
\(487\) | 40.4859i | 1.83459i | 0.398206 | + | 0.917296i | \(0.369633\pi\) | ||||
−0.398206 | + | 0.917296i | \(0.630367\pi\) | |||||||
\(488\) | 1.11610 | − | 1.08578i | 0.0505234 | − | 0.0491510i | ||||
\(489\) | −4.47361 | − | 1.79294i | −0.202304 | − | 0.0810798i | ||||
\(490\) | −0.210634 | + | 0.996974i | −0.00951546 | + | 0.0450387i | ||||
\(491\) | −2.74760 | − | 15.5824i | −0.123998 | − | 0.703225i | −0.981898 | − | 0.189409i | \(-0.939343\pi\) |
0.857901 | − | 0.513816i | \(-0.171768\pi\) | |||||||
\(492\) | −3.01125 | + | 10.7134i | −0.135758 | + | 0.482997i | ||||
\(493\) | −24.6020 | − | 20.6435i | −1.10802 | − | 0.929738i | ||||
\(494\) | −0.381326 | − | 2.68930i | −0.0171566 | − | 0.120997i | ||||
\(495\) | −20.4002 | + | 21.3624i | −0.916919 | + | 0.960170i | ||||
\(496\) | −23.2414 | + | 0.925968i | −1.04357 | + | 0.0415772i | ||||
\(497\) | 3.26131 | + | 0.575058i | 0.146290 | + | 0.0257949i | ||||
\(498\) | 24.4855 | − | 36.6179i | 1.09722 | − | 1.64089i | ||||
\(499\) | −11.4425 | + | 31.4380i | −0.512236 | + | 1.40736i | 0.366665 | + | 0.930353i | \(0.380499\pi\) |
−0.878901 | + | 0.477004i | \(0.841723\pi\) | |||||||
\(500\) | 7.75931 | + | 5.20603i | 0.347007 | + | 0.232821i | ||||
\(501\) | 24.0275 | + | 5.03713i | 1.07347 | + | 0.225042i | ||||
\(502\) | −15.9461 | + | 8.50385i | −0.711711 | + | 0.379545i | ||||
\(503\) | 12.0161 | + | 20.8125i | 0.535772 | + | 0.927984i | 0.999126 | + | 0.0418106i | \(0.0133126\pi\) |
−0.463354 | + | 0.886173i | \(0.653354\pi\) | |||||||
\(504\) | −0.211237 | − | 22.7888i | −0.00940925 | − | 1.01510i | ||||
\(505\) | 14.4290 | − | 24.9917i | 0.642081 | − | 1.11212i | ||||
\(506\) | −0.0662244 | + | 1.96565i | −0.00294403 | + | 0.0873837i | ||||
\(507\) | −19.3232 | + | 10.3436i | −0.858172 | + | 0.459376i | ||||
\(508\) | −0.165558 | + | 2.45423i | −0.00734545 | + | 0.108889i | ||||
\(509\) | −15.9558 | − | 19.0154i | −0.707228 | − | 0.842841i | 0.286096 | − | 0.958201i | \(-0.407642\pi\) |
−0.993324 | + | 0.115360i | \(0.963198\pi\) | |||||||
\(510\) | 14.4534 | − | 58.9784i | 0.640006 | − | 2.61161i | ||||
\(511\) | 2.16930 | + | 5.96011i | 0.0959643 | + | 0.263660i | ||||
\(512\) | −6.75391 | + | 21.5959i | −0.298484 | + | 0.954415i | ||||
\(513\) | −16.8890 | − | 1.63221i | −0.745667 | − | 0.0720638i | ||||
\(514\) | 11.0687 | − | 8.66972i | 0.488218 | − | 0.382405i | ||||
\(515\) | 53.7669 | − | 19.5695i | 2.36925 | − | 0.862337i | ||||
\(516\) | −6.27591 | − | 0.626338i | −0.276281 | − | 0.0275730i | ||||
\(517\) | −2.74539 | + | 2.30365i | −0.120742 | + | 0.101315i | ||||
\(518\) | −9.01615 | − | 8.09814i | −0.396147 | − | 0.355812i | ||||
\(519\) | 1.12726 | − | 1.81526i | 0.0494814 | − | 0.0796809i | ||||
\(520\) | 1.52731 | − | 5.40142i | 0.0669771 | − | 0.236868i | ||||
\(521\) | −13.6964 | − | 7.90761i | −0.600049 | − | 0.346439i | 0.169012 | − | 0.985614i | \(-0.445942\pi\) |
−0.769061 | + | 0.639175i | \(0.779276\pi\) | |||||||
\(522\) | −15.3037 | + | 10.4748i | −0.669823 | + | 0.458471i | ||||
\(523\) | 27.0410 | − | 15.6122i | 1.18242 | − | 0.682672i | 0.225849 | − | 0.974162i | \(-0.427485\pi\) |
0.956574 | + | 0.291491i | \(0.0941512\pi\) | |||||||
\(524\) | 32.2847 | + | 14.2792i | 1.41037 | + | 0.623788i | ||||
\(525\) | 22.1276 | + | 19.8122i | 0.965728 | + | 0.864676i | ||||
\(526\) | 8.57703 | + | 26.2875i | 0.373976 | + | 1.14619i | ||||
\(527\) | −40.1470 | − | 14.6123i | −1.74883 | − | 0.636523i | ||||
\(528\) | 18.9444 | − | 7.06097i | 0.824448 | − | 0.307289i | ||||
\(529\) | −3.95447 | + | 22.4269i | −0.171933 | + | 0.975083i | ||||
\(530\) | −13.1367 | + | 32.6299i | −0.570624 | + | 1.41735i | ||||
\(531\) | −6.88594 | + | 10.3328i | −0.298824 | + | 0.448406i | ||||
\(532\) | −12.6476 | − | 12.1537i | −0.548342 | − | 0.526930i | ||||
\(533\) | −1.21457 | + | 1.44746i | −0.0526087 | + | 0.0626966i | ||||
\(534\) | 13.5301 | − | 1.47709i | 0.585506 | − | 0.0639201i | ||||
\(535\) | 12.4097 | − | 2.18817i | 0.536520 | − | 0.0946029i | ||||
\(536\) | 25.8002 | + | 12.4661i | 1.11440 | + | 0.538454i | ||||
\(537\) | 29.4902 | − | 4.22857i | 1.27260 | − | 0.182476i | ||||
\(538\) | 22.6846 | − | 36.4024i | 0.978004 | − | 1.56942i | ||||
\(539\) | −0.623158 | −0.0268413 | ||||||||
\(540\) | −30.5552 | − | 17.2024i | −1.31489 | − | 0.740275i | ||||
\(541\) | −14.4554 | −0.621486 | −0.310743 | − | 0.950494i | \(-0.600578\pi\) | ||||
−0.310743 | + | 0.950494i | \(0.600578\pi\) | |||||||
\(542\) | 14.3050 | − | 22.9555i | 0.614453 | − | 0.986023i | ||||
\(543\) | 23.1532 | + | 29.4648i | 0.993598 | + | 1.26446i | ||||
\(544\) | −26.5195 | + | 32.0019i | −1.13701 | + | 1.37207i | ||||
\(545\) | 35.2425 | − | 6.21421i | 1.50962 | − | 0.266187i | ||||
\(546\) | 1.55965 | − | 3.54127i | 0.0667467 | − | 0.151552i | ||||
\(547\) | −23.0006 | + | 27.4110i | −0.983434 | + | 1.17201i | 0.00166132 | + | 0.999999i | \(0.499471\pi\) |
−0.985095 | + | 0.172012i | \(0.944973\pi\) | |||||||
\(548\) | 14.3831 | − | 14.9676i | 0.614417 | − | 0.639384i | ||||
\(549\) | −0.181805 | − | 1.64153i | −0.00775923 | − | 0.0700588i | ||||
\(550\) | −9.84037 | + | 24.4422i | −0.419595 | + | 1.04222i | ||||
\(551\) | −2.47860 | + | 14.0568i | −0.105592 | + | 0.598841i | ||||
\(552\) | −2.28051 | + | 0.500198i | −0.0970651 | + | 0.0212899i | ||||
\(553\) | 24.6158 | + | 8.95941i | 1.04677 | + | 0.380993i | ||||
\(554\) | −4.31777 | − | 13.2334i | −0.183444 | − | 0.562233i | ||||
\(555\) | −17.7178 | + | 5.81159i | −0.752078 | + | 0.246688i | ||||
\(556\) | 17.6548 | − | 39.9170i | 0.748731 | − | 1.69286i | ||||
\(557\) | −25.5879 | + | 14.7732i | −1.08419 | + | 0.625960i | −0.932025 | − | 0.362394i | \(-0.881959\pi\) |
−0.152170 | + | 0.988354i | \(0.548626\pi\) | |||||||
\(558\) | −14.3648 | + | 20.0574i | −0.608110 | + | 0.849096i | ||||
\(559\) | −0.927416 | − | 0.535444i | −0.0392255 | − | 0.0226469i | ||||
\(560\) | −13.7440 | − | 33.5422i | −0.580792 | − | 1.41742i | ||||
\(561\) | 37.1163 | + | 1.19239i | 1.56705 | + | 0.0503427i | ||||
\(562\) | 24.3863 | + | 21.9033i | 1.02867 | + | 0.923936i | ||||
\(563\) | 8.84941 | − | 7.42554i | 0.372958 | − | 0.312949i | −0.436972 | − | 0.899475i | \(-0.643949\pi\) |
0.809930 | + | 0.586526i | \(0.199505\pi\) | |||||||
\(564\) | −3.45492 | − | 2.48255i | −0.145479 | − | 0.104534i | ||||
\(565\) | −18.5168 | + | 6.73955i | −0.779006 | + | 0.283535i | ||||
\(566\) | −19.4218 | + | 15.2124i | −0.816358 | + | 0.639425i | ||||
\(567\) | −19.2130 | − | 14.6683i | −0.806870 | − | 0.616010i | ||||
\(568\) | −3.18072 | + | 1.43022i | −0.133460 | + | 0.0600106i | ||||
\(569\) | 4.36916 | + | 12.0042i | 0.183165 | + | 0.503241i | 0.996960 | − | 0.0779103i | \(-0.0248248\pi\) |
−0.813796 | + | 0.581151i | \(0.802603\pi\) | |||||||
\(570\) | −25.9127 | + | 7.54323i | −1.08537 | + | 0.315951i | ||||
\(571\) | −24.8893 | − | 29.6619i | −1.04158 | − | 1.24131i | −0.969803 | − | 0.243890i | \(-0.921577\pi\) |
−0.0717799 | − | 0.997420i | \(-0.522868\pi\) | |||||||
\(572\) | 3.42497 | + | 0.231043i | 0.143205 | + | 0.00966038i | ||||
\(573\) | 0.265389 | − | 8.26096i | 0.0110868 | − | 0.345106i | ||||
\(574\) | −0.410869 | + | 12.1953i | −0.0171494 | + | 0.509020i | ||||
\(575\) | 1.52138 | − | 2.63511i | 0.0634459 | − | 0.109892i | ||||
\(576\) | 13.6772 | + | 19.7214i | 0.569885 | + | 0.821724i | ||||
\(577\) | 10.5964 | + | 18.3535i | 0.441134 | + | 0.764067i | 0.997774 | − | 0.0666873i | \(-0.0212430\pi\) |
−0.556640 | + | 0.830754i | \(0.687910\pi\) | |||||||
\(578\) | −46.1475 | + | 24.6098i | −1.91948 | + | 1.02363i | ||||
\(579\) | −4.89086 | − | 14.9107i | −0.203257 | − | 0.619669i | ||||
\(580\) | −16.4346 | + | 24.4950i | −0.682411 | + | 1.01710i | ||||
\(581\) | 16.5195 | − | 45.3870i | 0.685344 | − | 1.88297i | ||||
\(582\) | 11.4633 | + | 23.2653i | 0.475168 | + | 0.964379i | ||||
\(583\) | −21.1845 | − | 3.73540i | −0.877372 | − | 0.154704i | ||||
\(584\) | −5.41820 | − | 3.90612i | −0.224207 | − | 0.161637i | ||||
\(585\) | −3.52634 | − | 4.79703i | −0.145796 | − | 0.198333i | ||||
\(586\) | −3.77725 | − | 26.6391i | −0.156037 | − | 1.10045i | ||||
\(587\) | 11.6298 | + | 9.75855i | 0.480013 | + | 0.402778i | 0.850431 | − | 0.526087i | \(-0.176341\pi\) |
−0.370418 | + | 0.928865i | \(0.620786\pi\) | |||||||
\(588\) | −0.182726 | − | 0.716823i | −0.00753547 | − | 0.0295613i | ||||
\(589\) | 3.29729 | + | 18.6999i | 0.135862 | + | 0.770514i | ||||
\(590\) | −4.08257 | + | 19.3237i | −0.168077 | + | 0.795543i | ||||
\(591\) | 2.83442 | − | 2.22727i | 0.116593 | − | 0.0916175i | ||||
\(592\) | 12.6469 | + | 1.71408i | 0.519786 | + | 0.0704484i | ||||
\(593\) | − | 25.8789i | − | 1.06272i | −0.847147 | − | 0.531359i | \(-0.821681\pi\) | ||
0.847147 | − | 0.531359i | \(-0.178319\pi\) | |||||||
\(594\) | 6.43035 | − | 20.4570i | 0.263841 | − | 0.839363i | ||||
\(595\) | − | 66.5819i | − | 2.72959i | ||||||
\(596\) | 7.42587 | − | 0.798941i | 0.304175 | − | 0.0327259i | ||||
\(597\) | −2.76775 | − | 19.3024i | −0.113276 | − | 0.789993i | ||||
\(598\) | −0.387854 | − | 0.0819431i | −0.0158605 | − | 0.00335090i | ||||
\(599\) | 0.0271904 | + | 0.154204i | 0.00111097 | + | 0.00630062i | 0.985358 | − | 0.170497i | \(-0.0545373\pi\) |
−0.984247 | + | 0.176798i | \(0.943426\pi\) | |||||||
\(600\) | −31.0014 | − | 4.15238i | −1.26563 | − | 0.169520i | ||||
\(601\) | 3.42031 | + | 2.86998i | 0.139517 | + | 0.117069i | 0.709875 | − | 0.704327i | \(-0.248751\pi\) |
−0.570358 | + | 0.821396i | \(0.693196\pi\) | |||||||
\(602\) | −6.84707 | + | 0.970872i | −0.279066 | + | 0.0395698i | ||||
\(603\) | 27.2415 | − | 13.4754i | 1.10936 | − | 0.548760i | ||||
\(604\) | −8.11645 | − | 28.0452i | −0.330253 | − | 1.14114i | ||||
\(605\) | 8.25544 | + | 1.45566i | 0.335631 | + | 0.0591808i | ||||
\(606\) | −1.37736 | + | 20.9045i | −0.0559513 | + | 0.849189i | ||||
\(607\) | 12.8586 | − | 35.3287i | 0.521914 | − | 1.43395i | −0.346474 | − | 0.938060i | \(-0.612621\pi\) |
0.868387 | − | 0.495886i | \(-0.165157\pi\) | |||||||
\(608\) | 18.2108 | + | 3.09585i | 0.738546 | + | 0.125553i | ||||
\(609\) | −13.5641 | + | 15.1493i | −0.549644 | + | 0.613880i | ||||
\(610\) | −1.23612 | − | 2.31793i | −0.0500491 | − | 0.0938504i | ||||
\(611\) | −0.361176 | − | 0.625575i | −0.0146116 | − | 0.0253081i | ||||
\(612\) | 9.51182 | + | 43.0448i | 0.384493 | + | 1.73998i | ||||
\(613\) | −9.84356 | + | 17.0495i | −0.397577 | + | 0.688624i | −0.993426 | − | 0.114472i | \(-0.963482\pi\) |
0.595849 | + | 0.803096i | \(0.296816\pi\) | |||||||
\(614\) | −23.3566 | − | 0.786903i | −0.942594 | − | 0.0317568i | ||||
\(615\) | 15.9494 | + | 9.90448i | 0.643142 | + | 0.399387i | ||||
\(616\) | 18.3323 | − | 12.4638i | 0.738628 | − | 0.502182i | ||||
\(617\) | 14.8351 | + | 17.6798i | 0.597241 | + | 0.711764i | 0.976980 | − | 0.213330i | \(-0.0684309\pi\) |
−0.379740 | + | 0.925093i | \(0.623986\pi\) | |||||||
\(618\) | −28.7343 | + | 29.9956i | −1.15586 | + | 1.20660i | ||||
\(619\) | −0.717110 | − | 1.97024i | −0.0288231 | − | 0.0791908i | 0.924447 | − | 0.381312i | \(-0.124528\pi\) |
−0.953270 | + | 0.302121i | \(0.902305\pi\) | |||||||
\(620\) | −9.39959 | + | 38.0982i | −0.377497 | + | 1.53006i | ||||
\(621\) | −1.06688 | + | 2.23474i | −0.0428125 | + | 0.0896772i | ||||
\(622\) | 1.81460 | + | 2.31671i | 0.0727588 | + | 0.0928916i | ||||
\(623\) | 14.0236 | − | 5.10417i | 0.561844 | − | 0.204494i | ||||
\(624\) | 0.738516 | + | 4.00751i | 0.0295643 | + | 0.160429i | ||||
\(625\) | −12.3789 | + | 10.3871i | −0.495155 | + | 0.415484i | ||||
\(626\) | 0.143830 | − | 0.160134i | 0.00574859 | − | 0.00640025i | ||||
\(627\) | −7.78915 | − | 14.5511i | −0.311069 | − | 0.581115i | ||||
\(628\) | 26.9276 | − | 19.6653i | 1.07453 | − | 0.784731i | ||||
\(629\) | 20.3016 | + | 11.7211i | 0.809479 | + | 0.467353i | ||||
\(630\) | −37.0297 | − | 10.3456i | −1.47530 | − | 0.412179i | ||||
\(631\) | −4.15935 | + | 2.40140i | −0.165581 | + | 0.0955982i | −0.580500 | − | 0.814260i | \(-0.697143\pi\) |
0.414920 | + | 0.909858i | \(0.363810\pi\) | |||||||
\(632\) | −26.7424 | + | 6.77240i | −1.06375 | + | 0.269392i | ||||
\(633\) | −1.95612 | + | 9.33083i | −0.0777487 | + | 0.370867i | ||||
\(634\) | 9.02420 | − | 2.94440i | 0.358397 | − | 0.116937i | ||||
\(635\) | 3.89957 | + | 1.41933i | 0.154750 | + | 0.0563242i | ||||
\(636\) | −1.91497 | − | 25.4640i | −0.0759336 | − | 1.00971i | ||||
\(637\) | 0.0218106 | − | 0.123694i | 0.000864167 | − | 0.00490094i | ||||
\(638\) | −16.7339 | − | 6.73704i | −0.662502 | − | 0.266722i | ||||
\(639\) | −0.874822 | + | 3.59410i | −0.0346074 | + | 0.142180i | ||||
\(640\) | 31.8299 | + | 21.0736i | 1.25819 | + | 0.833006i | ||||
\(641\) | 18.2093 | − | 21.7010i | 0.719223 | − | 0.857136i | −0.275332 | − | 0.961349i | \(-0.588788\pi\) |
0.994555 | + | 0.104213i | \(0.0332323\pi\) | |||||||
\(642\) | −7.37922 | + | 5.40678i | −0.291235 | + | 0.213389i | ||||
\(643\) | −3.69392 | + | 0.651338i | −0.145674 | + | 0.0256863i | −0.246010 | − | 0.969267i | \(-0.579119\pi\) |
0.100336 | + | 0.994954i | \(0.468008\pi\) | |||||||
\(644\) | −2.29812 | + | 1.12787i | −0.0905586 | + | 0.0444441i | ||||
\(645\) | −3.95841 | + | 9.87671i | −0.155862 | + | 0.388895i | ||||
\(646\) | 28.7959 | + | 17.9445i | 1.13296 | + | 0.706018i | ||||
\(647\) | 44.7799 | 1.76048 | 0.880239 | − | 0.474530i | \(-0.157382\pi\) | ||||
0.880239 | + | 0.474530i | \(0.157382\pi\) | |||||||
\(648\) | 25.4174 | + | 1.39836i | 0.998490 | + | 0.0549327i | ||||
\(649\) | −12.0782 | −0.474112 | ||||||||
\(650\) | −4.50725 | − | 2.80875i | −0.176789 | − | 0.110168i | ||||
\(651\) | −10.0634 | + | 25.1093i | −0.394414 | + | 0.984112i | ||||
\(652\) | 4.99588 | − | 2.45187i | 0.195654 | − | 0.0960225i | ||||
\(653\) | −33.2582 | + | 5.86432i | −1.30149 | + | 0.229489i | −0.781083 | − | 0.624427i | \(-0.785333\pi\) |
−0.520411 | + | 0.853916i | \(0.674221\pi\) | |||||||
\(654\) | −20.9563 | + | 15.3548i | −0.819457 | + | 0.600418i | ||||
\(655\) | 38.2817 | − | 45.6223i | 1.49579 | − | 1.78261i | ||||
\(656\) | −6.86300 | − | 10.8639i | −0.267955 | − | 0.424166i | ||||
\(657\) | −6.79914 | + | 1.99078i | −0.265260 | + | 0.0776675i | ||||
\(658\) | −4.32727 | − | 1.74215i | −0.168694 | − | 0.0679160i | ||||
\(659\) | −5.48543 | + | 31.1094i | −0.213682 | + | 1.21185i | 0.669497 | + | 0.742815i | \(0.266510\pi\) |
−0.883179 | + | 0.469036i | \(0.844601\pi\) | |||||||
\(660\) | −2.55781 | − | 34.0120i | −0.0995628 | − | 1.32392i | ||||
\(661\) | 4.54548 | + | 1.65442i | 0.176799 | + | 0.0643495i | 0.428903 | − | 0.903351i | \(-0.358900\pi\) |
−0.252104 | + | 0.967700i | \(0.581123\pi\) | |||||||
\(662\) | −17.7600 | + | 5.79469i | −0.690260 | + | 0.225217i | ||||
\(663\) | −1.53576 | + | 7.32569i | −0.0596439 | + | 0.284506i | ||||
\(664\) | 12.4871 | + | 49.3080i | 0.484592 | + | 1.91352i | ||||
\(665\) | −25.6275 | + | 14.7960i | −0.993791 | + | 0.573765i | ||||
\(666\) | 9.67324 | − | 9.46954i | 0.374831 | − | 0.366937i | ||||
\(667\) | 1.80408 | + | 1.04159i | 0.0698542 | + | 0.0403304i | ||||
\(668\) | −22.8927 | + | 16.7186i | −0.885746 | + | 0.646863i | ||||
\(669\) | 4.46502 | + | 8.34121i | 0.172627 | + | 0.322490i | ||||
\(670\) | 32.3023 | − | 35.9641i | 1.24795 | − | 1.38941i | ||||
\(671\) | 1.23065 | − | 1.03264i | 0.0475088 | − | 0.0398646i | ||||
\(672\) | 19.7127 | + | 17.4330i | 0.760433 | + | 0.672494i | ||||
\(673\) | −20.9411 | + | 7.62193i | −0.807220 | + | 0.293804i | −0.712475 | − | 0.701698i | \(-0.752426\pi\) |
−0.0947448 | + | 0.995502i | \(0.530204\pi\) | |||||||
\(674\) | −16.8719 | − | 21.5404i | −0.649880 | − | 0.829705i | ||||
\(675\) | −23.6707 | + | 23.2448i | −0.911086 | + | 0.894693i | ||||
\(676\) | 6.06223 | − | 24.5713i | 0.233163 | − | 0.945050i | ||||
\(677\) | −0.302359 | − | 0.830725i | −0.0116206 | − | 0.0319274i | 0.933747 | − | 0.357934i | \(-0.116519\pi\) |
−0.945367 | + | 0.326007i | \(0.894297\pi\) | |||||||
\(678\) | 9.89579 | − | 10.3302i | 0.380046 | − | 0.396728i | ||||
\(679\) | 18.2798 | + | 21.7850i | 0.701514 | + | 0.836032i | ||||
\(680\) | 39.4232 | + | 57.9852i | 1.51181 | + | 2.22363i | ||||
\(681\) | −2.18451 | − | 1.35656i | −0.0837104 | − | 0.0519837i | ||||
\(682\) | −23.9840 | − | 0.808042i | −0.918394 | − | 0.0309415i | ||||
\(683\) | −13.1484 | + | 22.7737i | −0.503110 | + | 0.871412i | 0.496883 | + | 0.867817i | \(0.334478\pi\) |
−0.999994 | + | 0.00359510i | \(0.998856\pi\) | |||||||
\(684\) | 14.4543 | − | 13.2267i | 0.552672 | − | 0.505734i | ||||
\(685\) | −17.5101 | − | 30.3285i | −0.669028 | − | 1.15879i | ||||
\(686\) | 12.1295 | + | 22.7449i | 0.463107 | + | 0.868403i | ||||
\(687\) | 30.1031 | − | 33.6211i | 1.14850 | − | 1.28273i | ||||
\(688\) | 5.38816 | − | 4.89968i | 0.205422 | − | 0.186798i | ||||
\(689\) | 1.48292 | − | 4.07429i | 0.0564947 | − | 0.155218i | ||||
\(690\) | −0.258959 | + | 3.93029i | −0.00985840 | + | 0.149624i | ||||
\(691\) | −26.8477 | − | 4.73397i | −1.02133 | − | 0.180089i | −0.362189 | − | 0.932105i | \(-0.617971\pi\) |
−0.659145 | + | 0.752016i | \(0.729082\pi\) | |||||||
\(692\) | 0.685920 | + | 2.37010i | 0.0260748 | + | 0.0900975i | ||||
\(693\) | 1.50917 | − | 23.4642i | 0.0573285 | − | 0.891331i | ||||
\(694\) | 17.9053 | − | 2.53886i | 0.679676 | − | 0.0963737i | ||||
\(695\) | −56.4077 | − | 47.3317i | −2.13967 | − | 1.79539i | ||||
\(696\) | 2.84286 | − | 21.2246i | 0.107758 | − | 0.804516i | ||||
\(697\) | −4.09864 | − | 23.2446i | −0.155247 | − | 0.880450i | ||||
\(698\) | −16.7620 | − | 3.54135i | −0.634449 | − | 0.134042i | ||||
\(699\) | −1.65045 | − | 11.5103i | −0.0624258 | − | 0.435360i | ||||
\(700\) | −34.0991 | + | 3.66868i | −1.28882 | + | 0.138663i | ||||
\(701\) | − | 0.940626i | − | 0.0355270i | −0.999842 | − | 0.0177635i | \(-0.994345\pi\) | ||
0.999842 | − | 0.0177635i | \(-0.00565459\pi\) | |||||||
\(702\) | 3.83557 | + | 1.99239i | 0.144764 | + | 0.0751981i | ||||
\(703\) | − | 10.4188i | − | 0.392954i | ||||||
\(704\) | −8.58547 | + | 21.7091i | −0.323577 | + | 0.818193i | ||||
\(705\) | −5.64346 | + | 4.43459i | −0.212545 | + | 0.167016i | ||||
\(706\) | 5.83770 | − | 27.6311i | 0.219705 | − | 1.03991i | ||||
\(707\) | 3.98887 | + | 22.6220i | 0.150017 | + | 0.850789i | ||||
\(708\) | −3.54164 | − | 13.8937i | −0.133103 | − | 0.522156i | ||||
\(709\) | 27.4140 | + | 23.0031i | 1.02956 | + | 0.863899i | 0.990798 | − | 0.135349i | \(-0.0432157\pi\) |
0.0387572 | + | 0.999249i | \(0.487660\pi\) | |||||||
\(710\) | 0.825993 | + | 5.82531i | 0.0309990 | + | 0.218620i | ||||
\(711\) | −11.7517 | + | 26.7964i | −0.440722 | + | 1.00494i | ||||
\(712\) | −9.19076 | + | 12.7485i | −0.344438 | + | 0.477772i | ||||
\(713\) | 2.72915 | + | 0.481223i | 0.102208 | + | 0.0180219i | ||||
\(714\) | 21.3636 | + | 43.3587i | 0.799514 | + | 1.62266i | ||||
\(715\) | 1.98072 | − | 5.44199i | 0.0740749 | − | 0.203519i | ||||
\(716\) | −19.1664 | + | 28.5666i | −0.716284 | + | 1.06758i | ||||
\(717\) | 11.0648 | + | 33.7331i | 0.413221 | + | 1.25978i | ||||
\(718\) | −26.2696 | + | 14.0092i | −0.980375 | + | 0.522820i | ||||
\(719\) | −16.5947 | − | 28.7429i | −0.618879 | − | 1.07193i | −0.989691 | − | 0.143221i | \(-0.954254\pi\) |
0.370812 | − | 0.928708i | \(-0.379079\pi\) | |||||||
\(720\) | 38.3742 | − | 12.9154i | 1.43012 | − | 0.481330i | ||||
\(721\) | −22.7726 | + | 39.4434i | −0.848097 | + | 1.46895i | ||||
\(722\) | −0.396998 | + | 11.7835i | −0.0147747 | + | 0.438538i | ||||
\(723\) | −0.702362 | + | 21.8629i | −0.0261211 | + | 0.813090i | ||||
\(724\) | −43.1723 | − | 2.91233i | −1.60448 | − | 0.108236i | ||||
\(725\) | 17.9391 | + | 21.3789i | 0.666240 | + | 0.793994i | ||||
\(726\) | −5.84308 | + | 1.70093i | −0.216857 | + | 0.0631273i | ||||
\(727\) | −11.0347 | − | 30.3175i | −0.409253 | − | 1.12441i | −0.957585 | − | 0.288153i | \(-0.906959\pi\) |
0.548331 | − | 0.836261i | \(-0.315263\pi\) | |||||||
\(728\) | 1.83238 | + | 4.07511i | 0.0679125 | + | 0.151034i | ||||
\(729\) | 17.7279 | − | 20.3647i | 0.656589 | − | 0.754249i | ||||
\(730\) | −8.87122 | + | 6.94853i | −0.328339 | + | 0.257177i | ||||
\(731\) | 12.5703 | − | 4.57522i | 0.464929 | − | 0.169220i | ||||
\(732\) | 1.54871 | + | 1.11283i | 0.0572420 | + | 0.0411314i | ||||
\(733\) | 33.6290 | − | 28.2180i | 1.24211 | − | 1.04226i | 0.244758 | − | 0.969584i | \(-0.421291\pi\) |
0.997356 | − | 0.0726730i | \(-0.0231530\pi\) | |||||||
\(734\) | −29.2890 | − | 26.3068i | −1.08108 | − | 0.971003i | ||||
\(735\) | −1.24735 | − | 0.0400720i | −0.0460092 | − | 0.00147808i | ||||
\(736\) | 1.33359 | − | 2.34296i | 0.0491567 | − | 0.0863627i | ||||
\(737\) | 25.6023 | + | 14.7815i | 0.943071 | + | 0.544482i | ||||
\(738\) | −13.5644 | − | 1.33231i | −0.499311 | − | 0.0490431i | ||||
\(739\) | −14.8213 | + | 8.55709i | −0.545211 | + | 0.314778i | −0.747188 | − | 0.664613i | \(-0.768597\pi\) |
0.201977 | + | 0.979390i | \(0.435263\pi\) | |||||||
\(740\) | 8.70918 | − | 19.6912i | 0.320156 | − | 0.723862i | ||||
\(741\) | 3.16095 | − | 1.03682i | 0.116120 | − | 0.0380885i | ||||
\(742\) | −8.68501 | − | 26.6184i | −0.318837 | − | 0.977193i | ||||
\(743\) | 41.1116 | + | 14.9634i | 1.50824 | + | 0.548954i | 0.958179 | − | 0.286170i | \(-0.0923822\pi\) |
0.550061 | + | 0.835124i | \(0.314604\pi\) | |||||||
\(744\) | −6.10321 | − | 27.8259i | −0.223754 | − | 1.02015i | ||||
\(745\) | 2.18800 | − | 12.4087i | 0.0801620 | − | 0.454621i | ||||
\(746\) | 3.15294 | − | 7.83148i | 0.115437 | − | 0.286731i | ||||
\(747\) | 49.4076 | + | 21.6679i | 1.80773 | + | 0.792788i | ||||
\(748\) | −29.7113 | + | 30.9186i | −1.08635 | + | 1.13050i | ||||
\(749\) | −6.44753 | + | 7.68387i | −0.235588 | + | 0.280762i | ||||
\(750\) | −4.61262 | + | 10.4732i | −0.168429 | + | 0.382428i | ||||
\(751\) | −5.87467 | + | 1.03586i | −0.214370 | + | 0.0377992i | −0.279801 | − | 0.960058i | \(-0.590269\pi\) |
0.0654317 | + | 0.997857i | \(0.479158\pi\) | |||||||
\(752\) | 4.80008 | − | 1.04497i | 0.175041 | − | 0.0381060i | ||||
\(753\) | −13.6754 | − | 17.4033i | −0.498359 | − | 0.634212i | ||||
\(754\) | 1.92296 | − | 3.08581i | 0.0700301 | − | 0.112378i | ||||
\(755\) | −49.2554 | −1.79259 | ||||||||
\(756\) | 27.4335 | − | 5.14429i | 0.997748 | − | 0.187096i | ||||
\(757\) | 33.2521 | 1.20857 | 0.604284 | − | 0.796769i | \(-0.293459\pi\) | ||||
0.604284 | + | 0.796769i | \(0.293459\pi\) | |||||||
\(758\) | 10.6503 | − | 17.0907i | 0.386836 | − | 0.620763i | ||||
\(759\) | −2.38439 | + | 0.341896i | −0.0865480 | + | 0.0124100i | ||||
\(760\) | 13.5578 | − | 28.0597i | 0.491795 | − | 1.01783i | ||||
\(761\) | −4.94688 | + | 0.872268i | −0.179324 | + | 0.0316197i | −0.262589 | − | 0.964908i | \(-0.584576\pi\) |
0.0832649 | + | 0.996527i | \(0.473465\pi\) | |||||||
\(762\) | −2.99484 | + | 0.326949i | −0.108492 | + | 0.0118441i | ||||
\(763\) | −18.3104 | + | 21.8215i | −0.662880 | + | 0.789990i | ||||
\(764\) | 6.88154 | + | 6.61283i | 0.248965 | + | 0.239244i | ||||
\(765\) | 74.2175 | + | 4.77351i | 2.68334 | + | 0.172587i | ||||
\(766\) | 8.45078 | − | 20.9906i | 0.305339 | − | 0.758422i | ||||
\(767\) | 0.422740 | − | 2.39748i | 0.0152642 | − | 0.0865678i | ||||
\(768\) | −27.4896 | − | 3.51027i | −0.991945 | − | 0.126666i | ||||
\(769\) | −48.6273 | − | 17.6989i | −1.75355 | − | 0.638239i | −0.753725 | − | 0.657189i | \(-0.771745\pi\) |
−0.999820 | + | 0.0189509i | \(0.993967\pi\) | |||||||
\(770\) | −11.6005 | − | 35.5540i | −0.418053 | − | 1.28128i | ||||
\(771\) | 12.8289 | + | 11.4865i | 0.462021 | + | 0.413676i | ||||
\(772\) | 16.5715 | + | 7.32937i | 0.596421 | + | 0.263790i | ||||
\(773\) | 8.36174 | − | 4.82765i | 0.300751 | − | 0.173639i | −0.342029 | − | 0.939689i | \(-0.611114\pi\) |
0.642780 | + | 0.766051i | \(0.277781\pi\) | |||||||
\(774\) | −0.591319 | − | 7.70190i | −0.0212545 | − | 0.276839i | ||||
\(775\) | 32.1524 | + | 18.5632i | 1.15495 | + | 0.666811i | ||||
\(776\) | −28.8185 | − | 8.14876i | −1.03452 | − | 0.292524i | ||||
\(777\) | 7.83027 | − | 12.6092i | 0.280909 | − | 0.452354i | ||||
\(778\) | −18.7278 | − | 16.8210i | −0.671424 | − | 0.603061i | ||||
\(779\) | −8.03605 | + | 6.74305i | −0.287921 | + | 0.241595i | ||||
\(780\) | 6.84076 | + | 0.682710i | 0.244938 | + | 0.0244449i | ||||
\(781\) | −3.38111 | + | 1.23062i | −0.120986 | + | 0.0440352i | ||||
\(782\) | 3.89836 | − | 3.05345i | 0.139405 | − | 0.109191i | ||||
\(783\) | −15.9141 | − | 16.2057i | −0.568725 | − | 0.579145i | ||||
\(784\) | 0.756161 | + | 0.397305i | 0.0270058 | + | 0.0141894i | ||||
\(785\) | −19.2397 | − | 52.8607i | −0.686695 | − | 1.88668i | ||||
\(786\) | −10.2908 | + | 41.9928i | −0.367062 | + | 1.49783i | ||||
\(787\) | 25.8465 | + | 30.8027i | 0.921329 | + | 1.09800i | 0.994916 | + | 0.100709i | \(0.0321110\pi\) |
−0.0735865 | + | 0.997289i | \(0.523445\pi\) | |||||||
\(788\) | −0.280157 | + | 4.15304i | −0.00998019 | + | 0.147946i | ||||
\(789\) | −29.8573 | + | 15.9825i | −1.06295 | + | 0.568991i | ||||
\(790\) | −1.56709 | + | 46.5138i | −0.0557546 | + | 1.65489i | ||||
\(791\) | 7.84266 | − | 13.5839i | 0.278853 | − | 0.482987i | ||||
\(792\) | 12.5789 | + | 21.3282i | 0.446970 | + | 0.757865i | ||||
\(793\) | 0.161901 | + | 0.280422i | 0.00574929 | + | 0.00995806i | ||||
\(794\) | 23.3212 | − | 12.4369i | 0.827640 | − | 0.441369i | ||||
\(795\) | −42.1639 | − | 8.83926i | −1.49540 | − | 0.313496i | ||||
\(796\) | 18.6978 | + | 12.5451i | 0.662727 | + | 0.444650i | ||||
\(797\) | −1.57213 | + | 4.31940i | −0.0556878 | + | 0.153001i | −0.964417 | − | 0.264384i | \(-0.914831\pi\) |
0.908730 | + | 0.417385i | \(0.137053\pi\) | |||||||
\(798\) | 11.9413 | − | 17.8582i | 0.422718 | − | 0.632173i | ||||
\(799\) | 8.88621 | + | 1.56688i | 0.314371 | + | 0.0554322i | ||||
\(800\) | 27.5242 | − | 23.3851i | 0.973126 | − | 0.826788i | ||||
\(801\) | 4.68412 | + | 15.9978i | 0.165505 | + | 0.565253i | ||||
\(802\) | 6.13435 | + | 43.2625i | 0.216611 | + | 1.52765i | ||||
\(803\) | −5.27903 | − | 4.42963i | −0.186293 | − | 0.156318i | ||||
\(804\) | −9.49599 | + | 33.7847i | −0.334898 | + | 1.19150i | ||||
\(805\) | 0.749954 | + | 4.25320i | 0.0264324 | + | 0.149906i | ||||
\(806\) | 0.999834 | − | 4.73243i | 0.0352177 | − | 0.166693i | ||||
\(807\) | 48.7614 | + | 19.5427i | 1.71648 | + | 0.687936i | ||||
\(808\) | −16.8684 | − | 17.3394i | −0.593427 | − | 0.609997i | ||||
\(809\) | 17.3051i | 0.608415i | 0.952606 | + | 0.304208i | \(0.0983917\pi\) | ||||
−0.952606 | + | 0.304208i | \(0.901608\pi\) | |||||||
\(810\) | 14.1869 | − | 40.5345i | 0.498475 | − | 1.42424i | ||||
\(811\) | − | 4.64157i | − | 0.162987i | −0.996674 | − | 0.0814937i | \(-0.974031\pi\) | ||
0.996674 | − | 0.0814937i | \(-0.0259691\pi\) | |||||||
\(812\) | −2.51170 | − | 23.3453i | −0.0881433 | − | 0.819261i | ||||
\(813\) | 30.7491 | + | 12.3237i | 1.07842 | + | 0.432211i | ||||
\(814\) | 12.8830 | + | 2.72183i | 0.451549 | + | 0.0954002i | ||||
\(815\) | −1.63032 | − | 9.24603i | −0.0571078 | − | 0.323874i | ||||
\(816\) | −44.2780 | − | 25.1110i | −1.55004 | − | 0.879061i | ||||
\(817\) | −4.55442 | − | 3.82161i | −0.159339 | − | 0.133701i | ||||
\(818\) | 34.4657 | − | 4.88702i | 1.20507 | − | 0.170871i | ||||
\(819\) | 4.60472 | + | 1.12081i | 0.160902 | + | 0.0391644i | ||||
\(820\) | −20.8244 | + | 6.02670i | −0.727219 | + | 0.210462i | ||||
\(821\) | −34.5874 | − | 6.09870i | −1.20711 | − | 0.212846i | −0.466340 | − | 0.884605i | \(-0.654428\pi\) |
−0.740769 | + | 0.671759i | \(0.765539\pi\) | |||||||
\(822\) | 21.1340 | + | 14.1318i | 0.737134 | + | 0.492903i | ||||
\(823\) | 0.0707205 | − | 0.194303i | 0.00246516 | − | 0.00677298i | −0.938454 | − | 0.345404i | \(-0.887742\pi\) |
0.940919 | + | 0.338631i | \(0.109964\pi\) | |||||||
\(824\) | −3.52209 | − | 47.8343i | −0.122698 | − | 1.66639i | ||||
\(825\) | −31.5838 | − | 6.62124i | −1.09961 | − | 0.230522i | ||||
\(826\) | −7.39772 | − | 13.8719i | −0.257399 | − | 0.482667i | ||||
\(827\) | −6.40289 | − | 11.0901i | −0.222650 | − | 0.385642i | 0.732962 | − | 0.680270i | \(-0.238137\pi\) |
−0.955612 | + | 0.294628i | \(0.904804\pi\) | |||||||
\(828\) | −1.09245 | − | 2.64253i | −0.0379652 | − | 0.0918343i | ||||
\(829\) | 14.0149 | − | 24.2745i | 0.486757 | − | 0.843088i | −0.513127 | − | 0.858313i | \(-0.671513\pi\) |
0.999884 | + | 0.0152250i | \(0.00484646\pi\) | |||||||
\(830\) | 85.7629 | + | 2.88943i | 2.97687 | + | 0.100294i | ||||
\(831\) | 15.0305 | − | 8.04574i | 0.521401 | − | 0.279104i | ||||
\(832\) | −4.00867 | − | 2.46400i | −0.138976 | − | 0.0854238i | ||||
\(833\) | 1.00851 | + | 1.20190i | 0.0349429 | + | 0.0416433i | ||||
\(834\) | 51.9201 | + | 12.7237i | 1.79785 | + | 0.440584i | ||||
\(835\) | 16.3568 | + | 44.9400i | 0.566051 | + | 1.55521i | ||||
\(836\) | 18.5032 | + | 4.56510i | 0.639945 | + | 0.157887i | ||||
\(837\) | −27.2674 | − | 13.0176i | −0.942499 | − | 0.449955i | ||||
\(838\) | −6.94380 | − | 8.86519i | −0.239869 | − | 0.306243i | ||||
\(839\) | −31.3898 | + | 11.4250i | −1.08370 | + | 0.394434i | −0.821283 | − | 0.570521i | \(-0.806741\pi\) |
−0.262415 | + | 0.964955i | \(0.584519\pi\) | |||||||
\(840\) | 37.4964 | − | 23.7695i | 1.29375 | − | 0.820124i | ||||
\(841\) | 7.57857 | − | 6.35918i | 0.261330 | − | 0.219282i | ||||
\(842\) | 3.88463 | − | 4.32499i | 0.133873 | − | 0.149049i | ||||
\(843\) | −21.1788 | + | 34.1047i | −0.729436 | + | 1.17463i | ||||
\(844\) | −6.49251 | − | 8.89016i | −0.223481 | − | 0.306012i | ||||
\(845\) | −36.9760 | − | 21.3481i | −1.27201 | − | 0.734397i | ||||
\(846\) | 2.25218 | − | 4.69862i | 0.0774315 | − | 0.161542i | ||||
\(847\) | −5.77875 | + | 3.33636i | −0.198560 | + | 0.114639i | ||||
\(848\) | 23.3244 | + | 18.0392i | 0.800964 | + | 0.619468i | ||||
\(849\) | −22.5103 | − | 20.1549i | −0.772552 | − | 0.691713i | ||||
\(850\) | 63.0677 | − | 20.5776i | 2.16320 | − | 0.705806i | ||||
\(851\) | −1.42888 | − | 0.520068i | −0.0489812 | − | 0.0178277i | ||||
\(852\) | −2.40702 | − | 3.52846i | −0.0824631 | − | 0.120883i | ||||
\(853\) | 7.02953 | − | 39.8664i | 0.240686 | − | 1.36500i | −0.589615 | − | 0.807685i | \(-0.700720\pi\) |
0.830301 | − | 0.557315i | \(-0.188169\pi\) | |||||||
\(854\) | 1.93975 | + | 0.780939i | 0.0663768 | + | 0.0267232i | ||||
\(855\) | −14.6555 | − | 29.6272i | −0.501208 | − | 1.01323i | ||||
\(856\) | 1.06543 | − | 10.5094i | 0.0364158 | − | 0.359202i | ||||
\(857\) | 9.81314 | − | 11.6948i | 0.335210 | − | 0.399488i | −0.571940 | − | 0.820296i | \(-0.693809\pi\) |
0.907150 | + | 0.420808i | \(0.138253\pi\) | |||||||
\(858\) | 0.456269 | + | 4.17941i | 0.0155768 | + | 0.142683i | ||||
\(859\) | −24.9446 | + | 4.39840i | −0.851098 | + | 0.150071i | −0.582148 | − | 0.813083i | \(-0.697788\pi\) |
−0.268950 | + | 0.963154i | \(0.586677\pi\) | |||||||
\(860\) | −5.41316 | − | 11.0298i | −0.184587 | − | 0.376112i | ||||
\(861\) | −14.7933 | + | 2.12119i | −0.504153 | + | 0.0722899i | ||||
\(862\) | −41.5766 | − | 25.9090i | −1.41611 | − | 0.882464i | ||||
\(863\) | −25.0571 | −0.852954 | −0.426477 | − | 0.904498i | \(-0.640245\pi\) | ||||
−0.426477 | + | 0.904498i | \(0.640245\pi\) | |||||||
\(864\) | −20.8455 | + | 20.7235i | −0.709179 | + | 0.705028i | ||||
\(865\) | 4.16257 | 0.141532 | ||||||||
\(866\) | 10.2683 | + | 6.39883i | 0.348932 | + | 0.217441i | ||||
\(867\) | −39.5761 | − | 50.3646i | −1.34407 | − | 1.71047i | ||||
\(868\) | −13.7617 | − | 28.0407i | −0.467104 | − | 0.951763i | ||||
\(869\) | −28.0292 | + | 4.94231i | −0.950827 | + | 0.167656i | ||||
\(870\) | −33.0623 | − | 14.5613i | −1.12092 | − | 0.493675i | ||||
\(871\) | −3.83014 | + | 4.56458i | −0.129779 | + | 0.154665i | ||||
\(872\) | 3.02574 | − | 29.8456i | 0.102464 | − | 1.01070i | ||||
\(873\) | −25.5939 | + | 18.8143i | −0.866221 | + | 0.636767i | ||||
\(874\) | −2.04158 | − | 0.821937i | −0.0690576 | − | 0.0278024i | ||||
\(875\) | −2.17894 | + | 12.3574i | −0.0736617 | + | 0.417756i | ||||
\(876\) | 3.54749 | − | 7.37138i | 0.119859 | − | 0.249056i | ||||
\(877\) | −28.3388 | − | 10.3145i | −0.956932 | − | 0.348295i | −0.184101 | − | 0.982907i | \(-0.558937\pi\) |
−0.772830 | + | 0.634613i | \(0.781160\pi\) | |||||||
\(878\) | −10.7708 | + | 3.51429i | −0.363499 | + | 0.118602i | ||||
\(879\) | 31.3111 | − | 10.2703i | 1.05610 | − | 0.346409i | ||||
\(880\) | 31.1543 | + | 24.0948i | 1.05021 | + | 0.812235i | ||||
\(881\) | 33.7727 | − | 19.4987i | 1.13783 | − | 0.656927i | 0.191938 | − | 0.981407i | \(-0.438523\pi\) |
0.945892 | + | 0.324480i | \(0.105189\pi\) | |||||||
\(882\) | 0.825142 | − | 0.374133i | 0.0277840 | − | 0.0125977i | ||||
\(883\) | −7.27427 | − | 4.19980i | −0.244799 | − | 0.141335i | 0.372582 | − | 0.927999i | \(-0.378473\pi\) |
−0.617380 | + | 0.786665i | \(0.711806\pi\) | |||||||
\(884\) | −5.09731 | − | 6.97972i | −0.171441 | − | 0.234753i | ||||
\(885\) | −24.1765 | − | 0.776688i | −0.812685 | − | 0.0261081i | ||||
\(886\) | −7.50529 | + | 8.35609i | −0.252145 | + | 0.280728i | ||||
\(887\) | 18.2466 | − | 15.3107i | 0.612661 | − | 0.514083i | −0.282826 | − | 0.959171i | \(-0.591272\pi\) |
0.895487 | + | 0.445088i | \(0.146828\pi\) | |||||||
\(888\) | 0.646681 | + | 15.6175i | 0.0217012 | + | 0.524089i | ||||
\(889\) | −3.10406 | + | 1.12979i | −0.104107 | + | 0.0378918i | ||||
\(890\) | 16.3493 | + | 20.8732i | 0.548029 | + | 0.699671i | ||||
\(891\) | 26.0469 | + | 3.36448i | 0.872604 | + | 0.112714i | ||||
\(892\) | −10.6067 | − | 2.61688i | −0.355138 | − | 0.0876195i | ||||
\(893\) | −1.37163 | − | 3.76851i | −0.0458997 | − | 0.126108i | ||||
\(894\) | 2.55666 | + | 8.78272i | 0.0855076 | + | 0.293738i | ||||
\(895\) | 37.3047 | + | 44.4580i | 1.24696 | + | 1.48607i | ||||
\(896\) | −30.1915 | + | 3.43599i | −1.00863 | + | 0.114788i | ||||
\(897\) | 0.0155893 | − | 0.485258i | 0.000520510 | − | 0.0162023i | ||||
\(898\) | −1.22139 | − | 0.0411498i | −0.0407584 | − | 0.00137319i | ||||
\(899\) | −12.7090 | + | 22.0126i | −0.423868 | + | 0.734162i | ||||
\(900\) | −1.64471 | − | 38.2726i | −0.0548238 | − | 1.27575i | ||||
\(901\) | 27.0802 | + | 46.9043i | 0.902173 | + | 1.56261i | ||||
\(902\) | −6.23851 | − | 11.6982i | −0.207720 | − | 0.389509i | ||||
\(903\) | −2.63979 | − | 8.04792i | −0.0878467 | − | 0.267818i | ||||
\(904\) | 1.21297 | + | 16.4737i | 0.0403429 | + | 0.547906i | ||||
\(905\) | −24.9673 | + | 68.5972i | −0.829942 | + | 2.28025i | ||||
\(906\) | 32.0755 | − | 15.8042i | 1.06564 | − | 0.525060i | ||||
\(907\) | −13.3699 | − | 2.35747i | −0.443940 | − | 0.0782785i | −0.0527900 | − | 0.998606i | \(-0.516811\pi\) |
−0.391150 | + | 0.920327i | \(0.627923\pi\) | |||||||
\(908\) | 2.85221 | − | 0.825446i | 0.0946538 | − | 0.0273934i | ||||
\(909\) | −25.5023 | + | 2.82446i | −0.845858 | + | 0.0936814i | ||||
\(910\) | 7.46333 | − | 1.05825i | 0.247407 | − | 0.0350807i | ||||
\(911\) | 2.94930 | + | 2.47476i | 0.0977147 | + | 0.0819924i | 0.690336 | − | 0.723489i | \(-0.257463\pi\) |
−0.592622 | + | 0.805481i | \(0.701907\pi\) | |||||||
\(912\) | 0.174327 | + | 22.6229i | 0.00577253 | + | 0.749119i | ||||
\(913\) | 9.11271 | + | 51.6808i | 0.301587 | + | 1.71038i | ||||
\(914\) | −40.6372 | − | 8.58553i | −1.34416 | − | 0.283984i | ||||
\(915\) | 2.52975 | − | 1.98786i | 0.0836310 | − | 0.0657165i | ||||
\(916\) | 5.57427 | + | 51.8108i | 0.184179 | + | 1.71188i | ||||
\(917\) | 47.4065i | 1.56550i | ||||||||
\(918\) | −49.8627 | + | 20.7051i | −1.64571 | + | 0.683370i | ||||
\(919\) | − | 7.14983i | − | 0.235851i | −0.993022 | − | 0.117926i | \(-0.962376\pi\) | ||
0.993022 | − | 0.117926i | \(-0.0376244\pi\) | |||||||
\(920\) | −3.17145 | − | 3.26000i | −0.104560 | − | 0.107479i | ||||
\(921\) | −4.06254 | − | 28.3323i | −0.133865 | − | 0.933580i | ||||
\(922\) | −1.68025 | + | 7.95298i | −0.0553361 | + | 0.261918i | ||||
\(923\) | −0.125934 | − | 0.714207i | −0.00414516 | − | 0.0235084i | ||||
\(924\) | 18.9623 | + | 19.4309i | 0.623814 | + | 0.639230i | ||||
\(925\) | −15.6052 | − | 13.0943i | −0.513096 | − | 0.430539i | ||||
\(926\) | 5.46200 | + | 38.5208i | 0.179493 | + | 1.26587i | ||||
\(927\) | −42.3341 | − | 28.2121i | −1.39043 | − | 0.926606i | ||||
\(928\) | 16.0102 | + | 18.8439i | 0.525560 | + | 0.618582i | ||||
\(929\) | 24.6142 | + | 4.34015i | 0.807566 | + | 0.142396i | 0.562164 | − | 0.827026i | \(-0.309969\pi\) |
0.245402 | + | 0.969421i | \(0.421080\pi\) | |||||||
\(930\) | −47.9558 | − | 3.15971i | −1.57253 | − | 0.103611i | ||||
\(931\) | 0.238498 | − | 0.655267i | 0.00781644 | − | 0.0214755i | ||||
\(932\) | 11.1498 | + | 7.48085i | 0.365224 | + | 0.245043i | ||||
\(933\) | −2.40416 | + | 2.68513i | −0.0787086 | + | 0.0879071i | ||||
\(934\) | 21.0087 | − | 11.2037i | 0.687426 | − | 0.366595i | ||||
\(935\) | 36.1708 | + | 62.6497i | 1.18291 | + | 2.04886i | ||||
\(936\) | −4.67381 | + | 1.75036i | −0.152768 | + | 0.0572122i | ||||
\(937\) | −1.71158 | + | 2.96455i | −0.0559150 | + | 0.0968475i | −0.892628 | − | 0.450794i | \(-0.851141\pi\) |
0.836713 | + | 0.547642i | \(0.184474\pi\) | |||||||
\(938\) | −1.29568 | + | 38.4578i | −0.0423053 | + | 1.25569i | ||||
\(939\) | 0.223951 | + | 0.139072i | 0.00730835 | + | 0.00453844i | ||||
\(940\) | 0.557806 | − | 8.26889i | 0.0181936 | − | 0.269701i | ||||
\(941\) | 23.4217 | + | 27.9129i | 0.763525 | + | 0.909934i | 0.998065 | − | 0.0621723i | \(-0.0198028\pi\) |
−0.234540 | + | 0.972106i | \(0.575358\pi\) | |||||||
\(942\) | 29.4901 | + | 28.2500i | 0.960840 | + | 0.920436i | ||||
\(943\) | 0.523637 | + | 1.43868i | 0.0170520 | + | 0.0468499i | ||||
\(944\) | 14.6562 | + | 7.70068i | 0.477017 | + | 0.250636i | ||||
\(945\) | 4.52970 | − | 46.8703i | 0.147351 | − | 1.52469i | ||||
\(946\) | 5.91527 | − | 4.63323i | 0.192322 | − | 0.150639i | ||||
\(947\) | −6.56612 | + | 2.38987i | −0.213370 | + | 0.0776605i | −0.446494 | − | 0.894787i | \(-0.647328\pi\) |
0.233124 | + | 0.972447i | \(0.425105\pi\) | |||||||
\(948\) | −13.9040 | − | 30.7930i | −0.451582 | − | 1.00011i | ||||
\(949\) | 1.06403 | − | 0.892826i | 0.0345398 | − | 0.0289824i | ||||
\(950\) | −21.9354 | − | 19.7020i | −0.711680 | − | 0.639218i | ||||
\(951\) | 5.48660 | + | 10.2497i | 0.177915 | + | 0.332368i | ||||
\(952\) | −53.7079 | − | 15.1865i | −1.74068 | − | 0.492198i | ||||
\(953\) | 6.10328 | + | 3.52373i | 0.197705 | + | 0.114145i | 0.595584 | − | 0.803293i | \(-0.296921\pi\) |
−0.397880 | + | 0.917438i | \(0.630254\pi\) | |||||||
\(954\) | 30.2937 | − | 7.77264i | 0.980795 | − | 0.251648i | ||||
\(955\) | 13.9439 | − | 8.05052i | 0.451214 | − | 0.260509i | ||||
\(956\) | −37.4903 | − | 16.5815i | −1.21252 | − | 0.536284i | ||||
\(957\) | 4.53312 | − | 21.6233i | 0.146535 | − | 0.698983i | ||||
\(958\) | 0.968938 | + | 2.96967i | 0.0313050 | + | 0.0959456i | ||||
\(959\) | 26.1951 | + | 9.53424i | 0.845884 | + | 0.307877i | ||||
\(960\) | −18.5812 | + | 42.9021i | −0.599705 | + | 1.38466i | ||||
\(961\) | −0.488585 | + | 2.77090i | −0.0157608 | + | 0.0893840i | ||||
\(962\) | −0.991178 | + | 2.46195i | −0.0319569 | + | 0.0793766i | ||||
\(963\) | −8.10281 | − | 7.73782i | −0.261109 | − | 0.249348i | ||||
\(964\) | −18.2122 | − | 17.5011i | −0.586577 | − | 0.563672i | ||||
\(965\) | 19.6497 | − | 23.4176i | 0.632545 | − | 0.753838i | ||||
\(966\) | −1.85307 | − | 2.52909i | −0.0596216 | − | 0.0813721i | ||||
\(967\) | −26.0009 | + | 4.58465i | −0.836131 | + | 0.147433i | −0.575290 | − | 0.817949i | \(-0.695111\pi\) |
−0.260841 | + | 0.965382i | \(0.584000\pi\) | |||||||
\(968\) | 3.05716 | − | 6.32719i | 0.0982610 | − | 0.203364i | ||||
\(969\) | −15.4591 | + | 38.5724i | −0.496619 | + | 1.23912i | ||||
\(970\) | −26.7214 | + | 42.8803i | −0.857972 | + | 1.37680i | ||||
\(971\) | 34.6797 | 1.11292 | 0.556462 | − | 0.830873i | \(-0.312159\pi\) | ||||
0.556462 | + | 0.830873i | \(0.312159\pi\) | |||||||
\(972\) | 3.76742 | + | 30.9484i | 0.120840 | + | 0.992672i | ||||
\(973\) | 58.6137 | 1.87907 | ||||||||
\(974\) | 30.2812 | − | 48.5928i | 0.970274 | − | 1.55702i | ||||
\(975\) | 2.41972 | − | 6.03750i | 0.0774932 | − | 0.193355i | ||||
\(976\) | −2.15169 | + | 0.468419i | −0.0688740 | + | 0.0149937i | ||||
\(977\) | 44.4064 | − | 7.83005i | 1.42069 | − | 0.250505i | 0.590071 | − | 0.807351i | \(-0.299100\pi\) |
0.830616 | + | 0.556846i | \(0.187989\pi\) | |||||||
\(978\) | 4.02839 | + | 5.49798i | 0.128814 | + | 0.175806i | ||||
\(979\) | −10.4225 | + | 12.4211i | −0.333106 | + | 0.396980i | ||||
\(980\) | 0.998493 | − | 1.03907i | 0.0318957 | − | 0.0331918i | ||||
\(981\) | −23.0112 | − | 21.9747i | −0.734692 | − | 0.701598i | ||||
\(982\) | −8.35702 | + | 20.7577i | −0.266683 | + | 0.662406i | ||||
\(983\) | 6.89149 | − | 39.0836i | 0.219804 | − | 1.24657i | −0.652568 | − | 0.757731i | \(-0.726308\pi\) |
0.872372 | − | 0.488843i | \(-0.162581\pi\) | |||||||
\(984\) | 11.6273 | − | 10.6064i | 0.370664 | − | 0.338120i | ||||
\(985\) | 6.59884 | + | 2.40178i | 0.210257 | + | 0.0765272i | ||||
\(986\) | 14.0881 | + | 43.1782i | 0.448657 | + | 1.37507i | ||||
\(987\) | 1.17223 | − | 5.59163i | 0.0373125 | − | 0.177984i | ||||
\(988\) | −1.55376 | + | 3.51301i | −0.0494318 | + | 0.111764i | ||||
\(989\) | −0.751448 | + | 0.433849i | −0.0238947 | + | 0.0137956i | ||||
\(990\) | 40.4630 | − | 10.3818i | 1.28600 | − | 0.329957i | ||||
\(991\) | −16.9550 | − | 9.78895i | −0.538592 | − | 0.310956i | 0.205916 | − | 0.978570i | \(-0.433983\pi\) |
−0.744508 | + | 0.667613i | \(0.767316\pi\) | |||||||
\(992\) | 28.5878 | + | 16.2719i | 0.907664 | + | 0.516633i | ||||
\(993\) | −10.7978 | − | 20.1717i | −0.342659 | − | 0.640130i | ||||
\(994\) | −3.48425 | − | 3.12949i | −0.110514 | − | 0.0992615i | ||||
\(995\) | 29.0993 | − | 24.4172i | 0.922511 | − | 0.774078i | ||||
\(996\) | −56.7766 | + | 25.6365i | −1.79904 | + | 0.812324i | ||||
\(997\) | 35.2892 | − | 12.8442i | 1.11762 | − | 0.406780i | 0.283837 | − | 0.958873i | \(-0.408393\pi\) |
0.833783 | + | 0.552092i | \(0.186170\pi\) | |||||||
\(998\) | 37.2476 | − | 29.1748i | 1.17905 | − | 0.923512i | ||||
\(999\) | 13.4939 | + | 9.63225i | 0.426928 | + | 0.304751i |
(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 | 108.2.l.a.47.4 | yes | 96 | |
3.2 | odd | 2 | 324.2.l.a.143.13 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.47.10 | yes | 96 | |
9.2 | odd | 6 | 972.2.l.a.107.9 | 96 | |||
9.4 | even | 3 | 972.2.l.c.755.14 | 96 | |||
9.5 | odd | 6 | 972.2.l.b.755.3 | 96 | |||
9.7 | even | 3 | 972.2.l.d.107.8 | 96 | |||
12.11 | even | 2 | 324.2.l.a.143.7 | 96 | |||
27.4 | even | 9 | 324.2.l.a.179.7 | 96 | |||
27.5 | odd | 18 | 972.2.l.c.215.12 | 96 | |||
27.13 | even | 9 | 972.2.l.a.863.15 | 96 | |||
27.14 | odd | 18 | 972.2.l.d.863.2 | 96 | |||
27.22 | even | 9 | 972.2.l.b.215.5 | 96 | |||
27.23 | odd | 18 | inner | 108.2.l.a.23.10 | yes | 96 | |
36.7 | odd | 6 | 972.2.l.d.107.2 | 96 | |||
36.11 | even | 6 | 972.2.l.a.107.15 | 96 | |||
36.23 | even | 6 | 972.2.l.b.755.5 | 96 | |||
36.31 | odd | 6 | 972.2.l.c.755.12 | 96 | |||
108.23 | even | 18 | inner | 108.2.l.a.23.4 | ✓ | 96 | |
108.31 | odd | 18 | 324.2.l.a.179.13 | 96 | |||
108.59 | even | 18 | 972.2.l.c.215.14 | 96 | |||
108.67 | odd | 18 | 972.2.l.a.863.9 | 96 | |||
108.95 | even | 18 | 972.2.l.d.863.8 | 96 | |||
108.103 | odd | 18 | 972.2.l.b.215.3 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.23.4 | ✓ | 96 | 108.23 | even | 18 | inner | |
108.2.l.a.23.10 | yes | 96 | 27.23 | odd | 18 | inner | |
108.2.l.a.47.4 | yes | 96 | 1.1 | even | 1 | trivial | |
108.2.l.a.47.10 | yes | 96 | 4.3 | odd | 2 | inner | |
324.2.l.a.143.7 | 96 | 12.11 | even | 2 | |||
324.2.l.a.143.13 | 96 | 3.2 | odd | 2 | |||
324.2.l.a.179.7 | 96 | 27.4 | even | 9 | |||
324.2.l.a.179.13 | 96 | 108.31 | odd | 18 | |||
972.2.l.a.107.9 | 96 | 9.2 | odd | 6 | |||
972.2.l.a.107.15 | 96 | 36.11 | even | 6 | |||
972.2.l.a.863.9 | 96 | 108.67 | odd | 18 | |||
972.2.l.a.863.15 | 96 | 27.13 | even | 9 | |||
972.2.l.b.215.3 | 96 | 108.103 | odd | 18 | |||
972.2.l.b.215.5 | 96 | 27.22 | even | 9 | |||
972.2.l.b.755.3 | 96 | 9.5 | odd | 6 | |||
972.2.l.b.755.5 | 96 | 36.23 | even | 6 | |||
972.2.l.c.215.12 | 96 | 27.5 | odd | 18 | |||
972.2.l.c.215.14 | 96 | 108.59 | even | 18 | |||
972.2.l.c.755.12 | 96 | 36.31 | odd | 6 | |||
972.2.l.c.755.14 | 96 | 9.4 | even | 3 | |||
972.2.l.d.107.2 | 96 | 36.7 | odd | 6 | |||
972.2.l.d.107.8 | 96 | 9.7 | even | 3 | |||
972.2.l.d.863.2 | 96 | 27.14 | odd | 18 | |||
972.2.l.d.863.8 | 96 | 108.95 | even | 18 |