Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,2,Mod(2,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 135 = 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 135.q (of order \(36\), degree \(12\), 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: | \(1.07798042729\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 32.15 | ||
Character | \(\chi\) | \(=\) | 135.32 |
Dual form | 135.2.q.a.38.15 |
$q$-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 \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(82\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.214747 | − | 2.45457i | 0.151849 | − | 1.73564i | −0.413249 | − | 0.910618i | \(-0.635606\pi\) |
0.565098 | − | 0.825024i | \(-0.308838\pi\) | |||||||
\(3\) | −1.63667 | + | 0.566833i | −0.944934 | + | 0.327261i | ||||
\(4\) | −4.00918 | − | 0.706926i | −2.00459 | − | 0.353463i | ||||
\(5\) | −2.13597 | − | 0.661531i | −0.955236 | − | 0.295846i | ||||
\(6\) | 1.03986 | + | 4.13905i | 0.424521 | + | 1.68976i | ||||
\(7\) | −0.719449 | + | 1.02748i | −0.271926 | + | 0.388351i | −0.931768 | − | 0.363054i | \(-0.881734\pi\) |
0.659842 | + | 0.751404i | \(0.270623\pi\) | |||||||
\(8\) | −1.32073 | + | 4.92901i | −0.466947 | + | 1.74267i | ||||
\(9\) | 2.35740 | − | 1.85544i | 0.785801 | − | 0.618480i | ||||
\(10\) | −2.08247 | + | 5.10083i | −0.658534 | + | 1.61302i | ||||
\(11\) | 0.955177 | − | 2.62433i | 0.287997 | − | 0.791264i | −0.708350 | − | 0.705862i | \(-0.750560\pi\) |
0.996347 | − | 0.0854029i | \(-0.0272177\pi\) | |||||||
\(12\) | 6.96242 | − | 1.11552i | 2.00988 | − | 0.322024i | ||||
\(13\) | −5.93299 | + | 0.519069i | −1.64552 | + | 0.143964i | −0.871898 | − | 0.489688i | \(-0.837111\pi\) |
−0.773618 | + | 0.633652i | \(0.781555\pi\) | |||||||
\(14\) | 2.36752 | + | 1.98658i | 0.632746 | + | 0.530937i | ||||
\(15\) | 3.87087 | − | 0.128029i | 0.999453 | − | 0.0330569i | ||||
\(16\) | 4.16396 | + | 1.51556i | 1.04099 | + | 0.378889i | ||||
\(17\) | −1.44057 | − | 5.37628i | −0.349390 | − | 1.30394i | −0.887400 | − | 0.461001i | \(-0.847490\pi\) |
0.538010 | − | 0.842938i | \(-0.319176\pi\) | |||||||
\(18\) | −4.04806 | − | 6.18485i | −0.954137 | − | 1.45778i | ||||
\(19\) | 1.75284 | − | 1.01200i | 0.402128 | − | 0.232169i | −0.285274 | − | 0.958446i | \(-0.592084\pi\) |
0.687402 | + | 0.726277i | \(0.258751\pi\) | |||||||
\(20\) | 8.09584 | + | 4.16217i | 1.81028 | + | 0.930689i | ||||
\(21\) | 0.595094 | − | 2.08946i | 0.129860 | − | 0.455957i | ||||
\(22\) | −6.23647 | − | 2.90811i | −1.32962 | − | 0.620012i | ||||
\(23\) | 3.82712 | − | 2.67978i | 0.798009 | − | 0.558772i | −0.101928 | − | 0.994792i | \(-0.532501\pi\) |
0.899937 | + | 0.436020i | \(0.143612\pi\) | |||||||
\(24\) | −0.632329 | − | 8.81582i | −0.129074 | − | 1.79952i | ||||
\(25\) | 4.12475 | + | 2.82602i | 0.824951 | + | 0.565204i | ||||
\(26\) | 14.6744i | 2.87789i | ||||||||
\(27\) | −2.80657 | + | 4.37300i | −0.540125 | + | 0.841585i | ||||
\(28\) | 3.61075 | − | 3.61075i | 0.682367 | − | 0.682367i | ||||
\(29\) | −2.13514 | + | 1.79159i | −0.396485 | + | 0.332691i | −0.819133 | − | 0.573603i | \(-0.805545\pi\) |
0.422648 | + | 0.906294i | \(0.361101\pi\) | |||||||
\(30\) | 0.517001 | − | 9.52880i | 0.0943911 | − | 1.73971i | ||||
\(31\) | 0.860131 | − | 4.87805i | 0.154484 | − | 0.876123i | −0.804772 | − | 0.593584i | \(-0.797712\pi\) |
0.959256 | − | 0.282539i | \(-0.0911765\pi\) | |||||||
\(32\) | 0.301086 | − | 0.645681i | 0.0532250 | − | 0.114141i | ||||
\(33\) | −0.0757589 | + | 4.83659i | −0.0131879 | + | 0.841943i | ||||
\(34\) | −13.5058 | + | 2.38144i | −2.31623 | + | 0.408413i | ||||
\(35\) | 2.21643 | − | 1.71873i | 0.374645 | − | 0.290518i | ||||
\(36\) | −10.7629 | + | 5.77228i | −1.79382 | + | 0.962046i | ||||
\(37\) | −1.32334 | + | 0.354589i | −0.217556 | + | 0.0582941i | −0.365951 | − | 0.930634i | \(-0.619256\pi\) |
0.148394 | + | 0.988928i | \(0.452590\pi\) | |||||||
\(38\) | −2.10761 | − | 4.51978i | −0.341899 | − | 0.733206i | ||||
\(39\) | 9.41614 | − | 4.21256i | 1.50779 | − | 0.674549i | ||||
\(40\) | 6.08173 | − | 9.65453i | 0.961605 | − | 1.52652i | ||||
\(41\) | −0.207426 | + | 0.247201i | −0.0323945 | + | 0.0386063i | −0.781998 | − | 0.623280i | \(-0.785800\pi\) |
0.749604 | + | 0.661887i | \(0.230244\pi\) | |||||||
\(42\) | −5.00092 | − | 1.90940i | −0.771658 | − | 0.294627i | ||||
\(43\) | 8.13568 | − | 3.79373i | 1.24068 | − | 0.578538i | 0.312234 | − | 0.950005i | \(-0.398923\pi\) |
0.928446 | + | 0.371467i | \(0.121145\pi\) | |||||||
\(44\) | −5.68468 | + | 9.84615i | −0.856997 | + | 1.48436i | ||||
\(45\) | −6.26277 | + | 2.40367i | −0.933599 | + | 0.358319i | ||||
\(46\) | −5.75583 | − | 9.96940i | −0.848652 | − | 1.46991i | ||||
\(47\) | −0.305187 | − | 0.213694i | −0.0445161 | − | 0.0311705i | 0.551107 | − | 0.834435i | \(-0.314206\pi\) |
−0.595623 | + | 0.803264i | \(0.703095\pi\) | |||||||
\(48\) | −7.67411 | − | 0.120205i | −1.10766 | − | 0.0173501i | ||||
\(49\) | 1.85603 | + | 5.09941i | 0.265148 | + | 0.728487i | ||||
\(50\) | 7.82244 | − | 9.51761i | 1.10626 | − | 1.34599i | ||||
\(51\) | 5.40519 | + | 7.98265i | 0.756878 | + | 1.11780i | ||||
\(52\) | 24.1534 | + | 2.11314i | 3.34947 | + | 0.293040i | ||||
\(53\) | −7.96878 | − | 7.96878i | −1.09460 | − | 1.09460i | −0.995031 | − | 0.0995653i | \(-0.968255\pi\) |
−0.0995653 | − | 0.995031i | \(-0.531745\pi\) | |||||||
\(54\) | 10.1311 | + | 7.82802i | 1.37867 | + | 1.06526i | ||||
\(55\) | −3.77630 | + | 4.97361i | −0.509197 | + | 0.670642i | ||||
\(56\) | −4.11426 | − | 4.90319i | −0.549792 | − | 0.655216i | ||||
\(57\) | −2.29519 | + | 2.64988i | −0.304005 | + | 0.350985i | ||||
\(58\) | 3.93908 | + | 5.62558i | 0.517226 | + | 0.738675i | ||||
\(59\) | −2.97238 | + | 1.08186i | −0.386971 | + | 0.140846i | −0.528177 | − | 0.849134i | \(-0.677124\pi\) |
0.141206 | + | 0.989980i | \(0.454902\pi\) | |||||||
\(60\) | −15.6095 | − | 2.22313i | −2.01518 | − | 0.287004i | ||||
\(61\) | −0.0275256 | − | 0.156106i | −0.00352429 | − | 0.0199873i | 0.982995 | − | 0.183633i | \(-0.0587858\pi\) |
−0.986519 | + | 0.163646i | \(0.947675\pi\) | |||||||
\(62\) | −11.7888 | − | 3.15880i | −1.49718 | − | 0.401168i | ||||
\(63\) | 0.210396 | + | 3.75708i | 0.0265075 | + | 0.473347i | ||||
\(64\) | 6.15484 | + | 3.55350i | 0.769355 | + | 0.444187i | ||||
\(65\) | 13.0161 | + | 2.81614i | 1.61445 | + | 0.349299i | ||||
\(66\) | 11.8555 | + | 1.22460i | 1.45931 | + | 0.150738i | ||||
\(67\) | 0.707965 | + | 8.09208i | 0.0864917 | + | 0.988605i | 0.908156 | + | 0.418633i | \(0.137491\pi\) |
−0.821664 | + | 0.569972i | \(0.806954\pi\) | |||||||
\(68\) | 1.97487 | + | 22.5728i | 0.239488 | + | 2.73736i | ||||
\(69\) | −4.74476 | + | 6.55526i | −0.571202 | + | 0.789160i | ||||
\(70\) | −3.74277 | − | 5.80948i | −0.447346 | − | 0.694365i | ||||
\(71\) | 7.01095 | + | 4.04777i | 0.832046 | + | 0.480382i | 0.854553 | − | 0.519365i | \(-0.173831\pi\) |
−0.0225065 | + | 0.999747i | \(0.507165\pi\) | |||||||
\(72\) | 6.03201 | + | 14.0702i | 0.710879 | + | 1.65819i | ||||
\(73\) | 5.29760 | + | 1.41949i | 0.620037 | + | 0.166139i | 0.555145 | − | 0.831754i | \(-0.312663\pi\) |
0.0648926 | + | 0.997892i | \(0.479330\pi\) | |||||||
\(74\) | 0.586179 | + | 3.32439i | 0.0681419 | + | 0.386452i | ||||
\(75\) | −8.35276 | − | 2.28723i | −0.964493 | − | 0.264107i | ||||
\(76\) | −7.74284 | + | 2.81816i | −0.888165 | + | 0.323266i | ||||
\(77\) | 2.00924 | + | 2.86949i | 0.228974 | + | 0.327009i | ||||
\(78\) | −8.31793 | − | 24.0172i | −0.941820 | − | 2.71941i | ||||
\(79\) | −10.3148 | − | 12.2927i | −1.16051 | − | 1.38304i | −0.909838 | − | 0.414964i | \(-0.863794\pi\) |
−0.250668 | − | 0.968073i | \(-0.580650\pi\) | |||||||
\(80\) | −7.89151 | − | 5.99177i | −0.882298 | − | 0.669900i | ||||
\(81\) | 2.11469 | − | 8.74803i | 0.234965 | − | 0.972004i | ||||
\(82\) | 0.562227 | + | 0.562227i | 0.0620876 | + | 0.0620876i | ||||
\(83\) | 1.73023 | + | 0.151375i | 0.189917 | + | 0.0166156i | 0.181718 | − | 0.983351i | \(-0.441834\pi\) |
0.00819974 | + | 0.999966i | \(0.497390\pi\) | |||||||
\(84\) | −3.86293 | + | 7.95631i | −0.421480 | + | 0.868104i | ||||
\(85\) | −0.479557 | + | 12.4366i | −0.0520152 | + | 1.34893i | ||||
\(86\) | −7.56486 | − | 20.7843i | −0.815740 | − | 2.24123i | ||||
\(87\) | 2.47899 | − | 4.14252i | 0.265776 | − | 0.444125i | ||||
\(88\) | 11.6738 | + | 8.17410i | 1.24443 | + | 0.871361i | ||||
\(89\) | −6.44892 | − | 11.1699i | −0.683584 | − | 1.18400i | −0.973879 | − | 0.227066i | \(-0.927087\pi\) |
0.290295 | − | 0.956937i | \(-0.406247\pi\) | |||||||
\(90\) | 4.55507 | + | 15.8886i | 0.480147 | + | 1.67480i | ||||
\(91\) | 3.73515 | − | 6.46947i | 0.391550 | − | 0.678185i | ||||
\(92\) | −17.2380 | + | 8.03821i | −1.79719 | + | 0.838041i | ||||
\(93\) | 1.35728 | + | 8.47132i | 0.140744 | + | 0.878435i | ||||
\(94\) | −0.590066 | + | 0.703213i | −0.0608606 | + | 0.0725309i | ||||
\(95\) | −4.41348 | + | 1.00205i | −0.452814 | + | 0.102808i | ||||
\(96\) | −0.126786 | + | 1.22743i | −0.0129401 | + | 0.125274i | ||||
\(97\) | −1.49897 | − | 3.21455i | −0.152197 | − | 0.326388i | 0.815395 | − | 0.578904i | \(-0.196520\pi\) |
−0.967593 | + | 0.252517i | \(0.918742\pi\) | |||||||
\(98\) | 12.9154 | − | 3.46068i | 1.30466 | − | 0.349581i | ||||
\(99\) | −2.61755 | − | 7.95887i | −0.263073 | − | 0.799896i | ||||
\(100\) | −14.5391 | − | 14.2459i | −1.45391 | − | 1.42459i | ||||
\(101\) | −9.18834 | + | 1.62015i | −0.914274 | + | 0.161211i | −0.610943 | − | 0.791674i | \(-0.709210\pi\) |
−0.303330 | + | 0.952885i | \(0.598099\pi\) | |||||||
\(102\) | 20.7547 | − | 11.5532i | 2.05502 | − | 1.14393i | ||||
\(103\) | −0.291593 | + | 0.625323i | −0.0287315 | + | 0.0616149i | −0.920150 | − | 0.391567i | \(-0.871933\pi\) |
0.891418 | + | 0.453181i | \(0.149711\pi\) | |||||||
\(104\) | 5.27735 | − | 29.9293i | 0.517487 | − | 2.93481i | ||||
\(105\) | −2.65334 | + | 4.06935i | −0.258940 | + | 0.397127i | ||||
\(106\) | −21.2712 | + | 17.8487i | −2.06604 | + | 1.73361i | ||||
\(107\) | 7.01111 | − | 7.01111i | 0.677790 | − | 0.677790i | −0.281710 | − | 0.959500i | \(-0.590902\pi\) |
0.959500 | + | 0.281710i | \(0.0909016\pi\) | |||||||
\(108\) | 14.3434 | − | 15.5481i | 1.38020 | − | 1.49612i | ||||
\(109\) | − | 3.98129i | − | 0.381339i | −0.981654 | − | 0.190669i | \(-0.938934\pi\) | ||
0.981654 | − | 0.190669i | \(-0.0610658\pi\) | |||||||
\(110\) | 11.3971 | + | 10.3373i | 1.08667 | + | 0.985620i | ||||
\(111\) | 1.96489 | − | 1.33046i | 0.186499 | − | 0.126282i | ||||
\(112\) | −4.55296 | + | 3.18801i | −0.430214 | + | 0.301239i | ||||
\(113\) | −11.5434 | − | 5.38280i | −1.08592 | − | 0.506371i | −0.204575 | − | 0.978851i | \(-0.565581\pi\) |
−0.881341 | + | 0.472480i | \(0.843359\pi\) | |||||||
\(114\) | 6.01143 | + | 6.20275i | 0.563022 | + | 0.580941i | ||||
\(115\) | −9.94737 | + | 3.19217i | −0.927597 | + | 0.297672i | ||||
\(116\) | 9.82667 | − | 5.67343i | 0.912383 | − | 0.526765i | ||||
\(117\) | −13.0233 | + | 12.2320i | −1.20401 | + | 1.13085i | ||||
\(118\) | 2.01718 | + | 7.52823i | 0.185697 | + | 0.693030i | ||||
\(119\) | 6.56043 | + | 2.38780i | 0.601394 | + | 0.218889i | ||||
\(120\) | −4.48130 | + | 19.2486i | −0.409084 | + | 1.75715i | ||||
\(121\) | 2.45176 | + | 2.05727i | 0.222887 | + | 0.187024i | ||||
\(122\) | −0.389083 | + | 0.0340403i | −0.0352259 | + | 0.00308187i | ||||
\(123\) | 0.199367 | − | 0.522163i | 0.0179763 | − | 0.0470818i | ||||
\(124\) | −6.89684 | + | 18.9489i | −0.619354 | + | 1.70166i | ||||
\(125\) | −6.94086 | − | 8.76496i | −0.620809 | − | 0.783962i | ||||
\(126\) | 9.26718 | + | 0.290388i | 0.825586 | + | 0.0258698i | ||||
\(127\) | 0.384839 | − | 1.43624i | 0.0341489 | − | 0.127445i | −0.946747 | − | 0.321978i | \(-0.895652\pi\) |
0.980896 | + | 0.194532i | \(0.0623190\pi\) | |||||||
\(128\) | 10.8613 | − | 15.5115i | 0.960012 | − | 1.37104i | ||||
\(129\) | −11.1650 | + | 10.8207i | −0.983027 | + | 0.952707i | ||||
\(130\) | 9.70757 | − | 31.3441i | 0.851410 | − | 2.74906i | ||||
\(131\) | −4.86082 | − | 0.857093i | −0.424691 | − | 0.0748846i | −0.0427823 | − | 0.999084i | \(-0.513622\pi\) |
−0.381909 | + | 0.924200i | \(0.624733\pi\) | |||||||
\(132\) | 3.72284 | − | 19.3372i | 0.324032 | − | 1.68309i | ||||
\(133\) | −0.221266 | + | 2.52909i | −0.0191862 | + | 0.219300i | ||||
\(134\) | 20.0146 | 1.72900 | ||||||||
\(135\) | 8.88764 | − | 7.48398i | 0.764926 | − | 0.644118i | ||||
\(136\) | 28.4024 | 2.43548 | ||||||||
\(137\) | −0.808148 | + | 9.23718i | −0.0690448 | + | 0.789185i | 0.880191 | + | 0.474620i | \(0.157414\pi\) |
−0.949236 | + | 0.314566i | \(0.898141\pi\) | |||||||
\(138\) | 15.0714 | + | 13.0541i | 1.28296 | + | 1.11124i | ||||
\(139\) | −0.653880 | − | 0.115297i | −0.0554614 | − | 0.00977934i | 0.145849 | − | 0.989307i | \(-0.453409\pi\) |
−0.201310 | + | 0.979528i | \(0.564520\pi\) | |||||||
\(140\) | −10.1011 | + | 5.32384i | −0.853697 | + | 0.449946i | ||||
\(141\) | 0.620621 | + | 0.176758i | 0.0522657 | + | 0.0148857i | ||||
\(142\) | 11.4411 | − | 16.3396i | 0.960117 | − | 1.37119i | ||||
\(143\) | −4.30485 | + | 16.0659i | −0.359990 | + | 1.34350i | ||||
\(144\) | 12.6281 | − | 4.15320i | 1.05235 | − | 0.346100i | ||||
\(145\) | 5.74579 | − | 2.41433i | 0.477162 | − | 0.200500i | ||||
\(146\) | 4.62188 | − | 12.6985i | 0.382509 | − | 1.05094i | ||||
\(147\) | −5.92823 | − | 7.29401i | −0.488953 | − | 0.601600i | ||||
\(148\) | 5.55619 | − | 0.486104i | 0.456716 | − | 0.0399575i | ||||
\(149\) | −3.98025 | − | 3.33983i | −0.326075 | − | 0.273610i | 0.465023 | − | 0.885298i | \(-0.346046\pi\) |
−0.791098 | + | 0.611689i | \(0.790490\pi\) | |||||||
\(150\) | −7.40790 | + | 20.0112i | −0.604852 | + | 1.63391i | ||||
\(151\) | 3.92942 | + | 1.43019i | 0.319772 | + | 0.116387i | 0.496919 | − | 0.867797i | \(-0.334465\pi\) |
−0.177147 | + | 0.984184i | \(0.556687\pi\) | |||||||
\(152\) | 2.67315 | + | 9.97633i | 0.216821 | + | 0.809187i | ||||
\(153\) | −13.3714 | − | 10.0012i | −1.08101 | − | 0.808546i | ||||
\(154\) | 7.47485 | − | 4.31561i | 0.602340 | − | 0.347761i | ||||
\(155\) | −5.06419 | + | 9.85037i | −0.406766 | + | 0.791201i | ||||
\(156\) | −40.7290 | + | 10.2324i | −3.26093 | + | 0.819246i | ||||
\(157\) | 12.4456 | + | 5.80347i | 0.993266 | + | 0.463168i | 0.850151 | − | 0.526538i | \(-0.176510\pi\) |
0.143115 | + | 0.989706i | \(0.454288\pi\) | |||||||
\(158\) | −32.3884 | + | 22.6786i | −2.57668 | + | 1.80421i | ||||
\(159\) | 17.5593 | + | 8.52533i | 1.39254 | + | 0.676103i | ||||
\(160\) | −1.07025 | + | 1.17998i | −0.0846106 | + | 0.0932855i | ||||
\(161\) | 5.86025i | 0.461852i | ||||||||
\(162\) | −21.0185 | − | 7.06925i | −1.65137 | − | 0.555413i | ||||
\(163\) | 14.8723 | − | 14.8723i | 1.16489 | − | 1.16489i | 0.181498 | − | 0.983391i | \(-0.441905\pi\) |
0.983391 | − | 0.181498i | \(-0.0580947\pi\) | |||||||
\(164\) | 1.00636 | − | 0.844437i | 0.0785835 | − | 0.0659394i | ||||
\(165\) | 3.36137 | − | 10.2807i | 0.261683 | − | 0.800352i | ||||
\(166\) | 0.743123 | − | 4.21446i | 0.0576775 | − | 0.327105i | ||||
\(167\) | 1.54136 | − | 3.30546i | 0.119274 | − | 0.255784i | −0.837602 | − | 0.546281i | \(-0.816043\pi\) |
0.956876 | + | 0.290497i | \(0.0938208\pi\) | |||||||
\(168\) | 9.51300 | + | 5.69282i | 0.733944 | + | 0.439211i | ||||
\(169\) | 22.1284 | − | 3.90184i | 1.70219 | − | 0.300142i | ||||
\(170\) | 30.4234 | + | 3.84782i | 2.33337 | + | 0.295114i | ||||
\(171\) | 2.25443 | − | 5.63798i | 0.172401 | − | 0.431147i | ||||
\(172\) | −35.2993 | + | 9.45841i | −2.69154 | + | 0.721197i | ||||
\(173\) | 3.46254 | + | 7.42544i | 0.263252 | + | 0.564546i | 0.992855 | − | 0.119325i | \(-0.0380730\pi\) |
−0.729603 | + | 0.683871i | \(0.760295\pi\) | |||||||
\(174\) | −9.63574 | − | 6.97445i | −0.730484 | − | 0.528731i | ||||
\(175\) | −5.87123 | + | 2.20492i | −0.443823 | + | 0.166676i | ||||
\(176\) | 7.95463 | − | 9.47996i | 0.599603 | − | 0.714579i | ||||
\(177\) | 4.25158 | − | 3.45549i | 0.319568 | − | 0.259730i | ||||
\(178\) | −28.8021 | + | 13.4306i | −2.15881 | + | 1.00667i | ||||
\(179\) | −3.07632 | + | 5.32834i | −0.229935 | + | 0.398259i | −0.957789 | − | 0.287474i | \(-0.907185\pi\) |
0.727854 | + | 0.685732i | \(0.240518\pi\) | |||||||
\(180\) | 26.8078 | − | 5.20944i | 1.99813 | − | 0.388289i | ||||
\(181\) | −4.75332 | − | 8.23298i | −0.353311 | − | 0.611953i | 0.633516 | − | 0.773729i | \(-0.281611\pi\) |
−0.986827 | + | 0.161777i | \(0.948278\pi\) | |||||||
\(182\) | −15.0776 | − | 10.5575i | −1.11763 | − | 0.782573i | ||||
\(183\) | 0.133536 | + | 0.239891i | 0.00987128 | + | 0.0177333i | ||||
\(184\) | 8.15408 | + | 22.4032i | 0.601127 | + | 1.65158i | ||||
\(185\) | 3.06120 | + | 0.118041i | 0.225064 | + | 0.00867851i | ||||
\(186\) | 21.0849 | − | 1.51235i | 1.54602 | − | 0.110891i | ||||
\(187\) | −15.4851 | − | 1.35477i | −1.13238 | − | 0.0990708i | ||||
\(188\) | 1.07248 | + | 1.07248i | 0.0782189 | + | 0.0782189i | ||||
\(189\) | −2.47398 | − | 6.02985i | −0.179956 | − | 0.438607i | ||||
\(190\) | 1.51182 | + | 11.0484i | 0.109679 | + | 0.801534i | ||||
\(191\) | 8.71630 | + | 10.3877i | 0.630690 | + | 0.751627i | 0.982869 | − | 0.184306i | \(-0.0590037\pi\) |
−0.352179 | + | 0.935933i | \(0.614559\pi\) | |||||||
\(192\) | −12.0877 | − | 2.32715i | −0.872354 | − | 0.167948i | ||||
\(193\) | −10.0288 | − | 14.3226i | −0.721888 | − | 1.03096i | −0.997567 | − | 0.0697136i | \(-0.977791\pi\) |
0.275679 | − | 0.961250i | \(-0.411097\pi\) | |||||||
\(194\) | −8.21222 | + | 2.98900i | −0.589603 | + | 0.214598i | ||||
\(195\) | −22.8994 | + | 2.76884i | −1.63986 | + | 0.198281i | ||||
\(196\) | −3.83626 | − | 21.7565i | −0.274019 | − | 1.55404i | ||||
\(197\) | −1.80112 | − | 0.482608i | −0.128324 | − | 0.0343844i | 0.194085 | − | 0.980985i | \(-0.437826\pi\) |
−0.322410 | + | 0.946600i | \(0.604493\pi\) | |||||||
\(198\) | −20.0977 | + | 4.71580i | −1.42828 | + | 0.335138i | ||||
\(199\) | 6.71379 | + | 3.87621i | 0.475928 | + | 0.274777i | 0.718718 | − | 0.695302i | \(-0.244729\pi\) |
−0.242790 | + | 0.970079i | \(0.578063\pi\) | |||||||
\(200\) | −19.3772 | + | 16.5986i | −1.37017 | + | 1.17370i | ||||
\(201\) | −5.74556 | − | 12.8428i | −0.405261 | − | 0.905861i | ||||
\(202\) | 2.00361 | + | 22.9013i | 0.140973 | + | 1.61133i | ||||
\(203\) | −0.304703 | − | 3.48277i | −0.0213859 | − | 0.244443i | ||||
\(204\) | −16.0272 | − | 35.8249i | −1.12213 | − | 2.50825i | ||||
\(205\) | 0.606587 | − | 0.390795i | 0.0423659 | − | 0.0272943i | ||||
\(206\) | 1.47228 | + | 0.850021i | 0.102579 | + | 0.0592237i | ||||
\(207\) | 4.04989 | − | 13.4183i | 0.281487 | − | 0.932636i | ||||
\(208\) | −25.4914 | − | 6.83040i | −1.76751 | − | 0.473603i | ||||
\(209\) | −0.981552 | − | 5.56666i | −0.0678954 | − | 0.385054i | ||||
\(210\) | 9.41869 | + | 7.38669i | 0.649951 | + | 0.509730i | ||||
\(211\) | −20.1076 | + | 7.31857i | −1.38426 | + | 0.503831i | −0.923468 | − | 0.383675i | \(-0.874658\pi\) |
−0.460796 | + | 0.887506i | \(0.652436\pi\) | |||||||
\(212\) | 26.3149 | + | 37.5816i | 1.80732 | + | 2.58111i | ||||
\(213\) | −13.7690 | − | 2.65085i | −0.943439 | − | 0.181633i | ||||
\(214\) | −15.7036 | − | 18.7149i | −1.07348 | − | 1.27932i | ||||
\(215\) | −19.8873 | + | 2.72130i | −1.35630 | + | 0.185591i | ||||
\(216\) | −17.8479 | − | 19.6092i | −1.21439 | − | 1.33424i | ||||
\(217\) | 4.39327 | + | 4.39327i | 0.298235 | + | 0.298235i | ||||
\(218\) | −9.77236 | − | 0.854971i | −0.661868 | − | 0.0579059i | ||||
\(219\) | −9.47506 | + | 0.679614i | −0.640265 | + | 0.0459241i | ||||
\(220\) | 18.6558 | − | 17.2705i | 1.25778 | − | 1.16438i | ||||
\(221\) | 11.3376 | + | 31.1497i | 0.762646 | + | 2.09535i | ||||
\(222\) | −2.84375 | − | 5.10867i | −0.190860 | − | 0.342872i | ||||
\(223\) | 18.8664 | + | 13.2104i | 1.26339 | + | 0.884633i | 0.996859 | − | 0.0791939i | \(-0.0252346\pi\) |
0.266528 | + | 0.963827i | \(0.414124\pi\) | |||||||
\(224\) | 0.446808 | + | 0.773894i | 0.0298536 | + | 0.0517079i | ||||
\(225\) | 14.9672 | − | 0.991164i | 0.997814 | − | 0.0660776i | ||||
\(226\) | −15.6914 | + | 27.1782i | −1.04377 | + | 1.80787i | ||||
\(227\) | 21.5391 | − | 10.0438i | 1.42960 | − | 0.666633i | 0.454979 | − | 0.890502i | \(-0.349647\pi\) |
0.974619 | + | 0.223869i | \(0.0718689\pi\) | |||||||
\(228\) | 11.0751 | − | 9.00131i | 0.733465 | − | 0.596126i | ||||
\(229\) | 9.86052 | − | 11.7513i | 0.651602 | − | 0.776549i | −0.334553 | − | 0.942377i | \(-0.608585\pi\) |
0.986155 | + | 0.165828i | \(0.0530297\pi\) | |||||||
\(230\) | 5.69924 | + | 25.1020i | 0.375797 | + | 1.65518i | ||||
\(231\) | −4.91499 | − | 3.55752i | −0.323383 | − | 0.234068i | ||||
\(232\) | −6.01086 | − | 12.8903i | −0.394632 | − | 0.846291i | ||||
\(233\) | 12.2912 | − | 3.29342i | 0.805223 | − | 0.215759i | 0.167347 | − | 0.985898i | \(-0.446480\pi\) |
0.637876 | + | 0.770139i | \(0.279813\pi\) | |||||||
\(234\) | 27.2275 | + | 34.5935i | 1.77992 | + | 2.26145i | ||||
\(235\) | 0.510506 | + | 0.658336i | 0.0333017 | + | 0.0429451i | ||||
\(236\) | 12.6816 | − | 2.23611i | 0.825501 | − | 0.145558i | ||||
\(237\) | 23.8499 | + | 14.2724i | 1.54922 | + | 0.927091i | ||||
\(238\) | 7.26986 | − | 15.5903i | 0.471235 | − | 1.01057i | ||||
\(239\) | 0.944310 | − | 5.35545i | 0.0610824 | − | 0.346415i | −0.938915 | − | 0.344149i | \(-0.888167\pi\) |
0.999997 | − | 0.00226637i | \(-0.000721408\pi\) | |||||||
\(240\) | 16.3122 | + | 5.33341i | 1.05295 | + | 0.344270i | ||||
\(241\) | 5.71656 | − | 4.79676i | 0.368236 | − | 0.308987i | −0.439827 | − | 0.898082i | \(-0.644960\pi\) |
0.808063 | + | 0.589096i | \(0.200516\pi\) | |||||||
\(242\) | 5.57622 | − | 5.57622i | 0.358453 | − | 0.358453i | ||||
\(243\) | 1.49762 | + | 15.5164i | 0.0960724 | + | 0.995374i | ||||
\(244\) | 0.645313i | 0.0413119i | ||||||||
\(245\) | −0.591020 | − | 12.1200i | −0.0377589 | − | 0.774320i | ||||
\(246\) | −1.23887 | − | 0.601494i | −0.0789875 | − | 0.0383498i | ||||
\(247\) | −9.87427 | + | 6.91404i | −0.628285 | + | 0.439930i | ||||
\(248\) | 22.9080 | + | 10.6822i | 1.45466 | + | 0.678318i | ||||
\(249\) | −2.91762 | + | 0.732998i | −0.184897 | + | 0.0464518i | ||||
\(250\) | −23.0047 | + | 15.1546i | −1.45495 | + | 0.958459i | ||||
\(251\) | 4.37402 | − | 2.52534i | 0.276086 | − | 0.159398i | −0.355564 | − | 0.934652i | \(-0.615711\pi\) |
0.631650 | + | 0.775254i | \(0.282378\pi\) | |||||||
\(252\) | 1.81246 | − | 15.2115i | 0.114174 | − | 0.958235i | ||||
\(253\) | −3.37704 | − | 12.6033i | −0.212312 | − | 0.792361i | ||||
\(254\) | −3.44270 | − | 1.25304i | −0.216014 | − | 0.0786228i | ||||
\(255\) | −6.26457 | − | 20.6264i | −0.392303 | − | 1.29168i | ||||
\(256\) | −24.8532 | − | 20.8543i | −1.55332 | − | 1.30339i | ||||
\(257\) | 26.5895 | − | 2.32628i | 1.65861 | − | 0.145109i | 0.781013 | − | 0.624514i | \(-0.214703\pi\) |
0.877594 | + | 0.479405i | \(0.159147\pi\) | |||||||
\(258\) | 24.1624 | + | 29.7291i | 1.50429 | + | 1.85085i | ||||
\(259\) | 0.587745 | − | 1.61482i | 0.0365207 | − | 0.100340i | ||||
\(260\) | −50.1930 | − | 20.4918i | −3.11284 | − | 1.27085i | ||||
\(261\) | −1.70918 | + | 8.18513i | −0.105796 | + | 0.506647i | ||||
\(262\) | −3.14764 | + | 11.7471i | −0.194462 | + | 0.725741i | ||||
\(263\) | −15.0278 | + | 21.4619i | −0.926654 | + | 1.32340i | 0.0195432 | + | 0.999809i | \(0.493779\pi\) |
−0.946197 | + | 0.323590i | \(0.895110\pi\) | |||||||
\(264\) | −23.7396 | − | 6.76123i | −1.46107 | − | 0.416125i | ||||
\(265\) | 11.7495 | + | 22.2927i | 0.721766 | + | 1.36943i | ||||
\(266\) | 6.16030 | + | 1.08623i | 0.377712 | + | 0.0666009i | ||||
\(267\) | 16.8862 | + | 14.6260i | 1.03342 | + | 0.895094i | ||||
\(268\) | 2.88214 | − | 32.9431i | 0.176055 | − | 2.01232i | ||||
\(269\) | 2.30251 | 0.140387 | 0.0701934 | − | 0.997533i | \(-0.477638\pi\) | ||||
0.0701934 | + | 0.997533i | \(0.477638\pi\) | |||||||
\(270\) | −16.4613 | − | 23.4225i | −1.00181 | − | 1.42545i | ||||
\(271\) | 6.12068 | 0.371805 | 0.185902 | − | 0.982568i | \(-0.440479\pi\) | ||||
0.185902 | + | 0.982568i | \(0.440479\pi\) | |||||||
\(272\) | 2.14958 | − | 24.5699i | 0.130338 | − | 1.48977i | ||||
\(273\) | −2.44612 | + | 12.7056i | −0.148046 | + | 0.768979i | ||||
\(274\) | 22.4997 | + | 3.96731i | 1.35926 | + | 0.239674i | ||||
\(275\) | 11.3563 | − | 8.12535i | 0.684809 | − | 0.489977i | ||||
\(276\) | 23.6567 | − | 22.9270i | 1.42396 | − | 1.38004i | ||||
\(277\) | −6.07315 | + | 8.67336i | −0.364901 | + | 0.521132i | −0.959055 | − | 0.283219i | \(-0.908598\pi\) |
0.594155 | + | 0.804351i | \(0.297487\pi\) | |||||||
\(278\) | −0.423423 | + | 1.58023i | −0.0253952 | + | 0.0947762i | ||||
\(279\) | −7.02325 | − | 13.0954i | −0.420471 | − | 0.784003i | ||||
\(280\) | 5.54434 | + | 13.1948i | 0.331338 | + | 0.788539i | ||||
\(281\) | −2.07965 | + | 5.71378i | −0.124061 | + | 0.340856i | −0.986139 | − | 0.165920i | \(-0.946941\pi\) |
0.862078 | + | 0.506776i | \(0.169163\pi\) | |||||||
\(282\) | 0.567141 | − | 1.48540i | 0.0337728 | − | 0.0884542i | ||||
\(283\) | 3.56859 | − | 0.312211i | 0.212131 | − | 0.0185590i | 0.0194049 | − | 0.999812i | \(-0.493823\pi\) |
0.192726 | + | 0.981253i | \(0.438267\pi\) | |||||||
\(284\) | −25.2466 | − | 21.1845i | −1.49811 | − | 1.25707i | ||||
\(285\) | 6.65543 | − | 4.14173i | 0.394234 | − | 0.245335i | ||||
\(286\) | 38.5104 | + | 14.0167i | 2.27717 | + | 0.828822i | ||||
\(287\) | −0.104761 | − | 0.390974i | −0.00618386 | − | 0.0230785i | ||||
\(288\) | −0.488241 | − | 2.08078i | −0.0287699 | − | 0.122611i | ||||
\(289\) | −12.1067 | + | 6.98981i | −0.712160 | + | 0.411166i | ||||
\(290\) | −4.69226 | − | 14.6219i | −0.275539 | − | 0.858628i | ||||
\(291\) | 4.27543 | + | 4.41150i | 0.250630 | + | 0.258607i | ||||
\(292\) | −20.2355 | − | 9.43599i | −1.18420 | − | 0.552200i | ||||
\(293\) | 21.8477 | − | 15.2979i | 1.27636 | − | 0.893714i | 0.278582 | − | 0.960412i | \(-0.410135\pi\) |
0.997773 | + | 0.0666984i | \(0.0212465\pi\) | |||||||
\(294\) | −19.1767 | + | 12.9849i | −1.11841 | + | 0.757294i | ||||
\(295\) | 7.06460 | − | 0.344498i | 0.411317 | − | 0.0200574i | ||||
\(296\) | − | 6.99110i | − | 0.406349i | ||||||
\(297\) | 8.79541 | + | 11.5424i | 0.510362 | + | 0.669756i | ||||
\(298\) | −9.05259 | + | 9.05259i | −0.524403 | + | 0.524403i | ||||
\(299\) | −21.3153 | + | 17.8856i | −1.23269 | + | 1.03435i | ||||
\(300\) | 31.8708 | + | 15.0747i | 1.84006 | + | 0.870338i | ||||
\(301\) | −1.95523 | + | 11.0886i | −0.112697 | + | 0.639138i | ||||
\(302\) | 4.35434 | − | 9.33791i | 0.250564 | − | 0.537336i | ||||
\(303\) | 14.1200 | − | 7.85991i | 0.811170 | − | 0.451540i | ||||
\(304\) | 8.83248 | − | 1.55741i | 0.506578 | − | 0.0893233i | ||||
\(305\) | −0.0444746 | + | 0.351646i | −0.00254661 | + | 0.0201352i | ||||
\(306\) | −27.4200 | + | 30.6732i | −1.56750 | + | 1.75347i | ||||
\(307\) | −12.6303 | + | 3.38428i | −0.720850 | + | 0.193151i | −0.600551 | − | 0.799586i | \(-0.705052\pi\) |
−0.120299 | + | 0.992738i | \(0.538385\pi\) | |||||||
\(308\) | −6.02688 | − | 12.9247i | −0.343413 | − | 0.736453i | ||||
\(309\) | 0.122789 | − | 1.18873i | 0.00698522 | − | 0.0676247i | ||||
\(310\) | 23.0909 | + | 14.5457i | 1.31147 | + | 0.826143i | ||||
\(311\) | −7.01743 | + | 8.36305i | −0.397922 | + | 0.474225i | −0.927385 | − | 0.374108i | \(-0.877949\pi\) |
0.529463 | + | 0.848333i | \(0.322393\pi\) | |||||||
\(312\) | 8.32762 | + | 51.9759i | 0.471459 | + | 2.94256i | ||||
\(313\) | −4.35380 | + | 2.03021i | −0.246091 | + | 0.114754i | −0.541751 | − | 0.840539i | \(-0.682238\pi\) |
0.295660 | + | 0.955293i | \(0.404461\pi\) | |||||||
\(314\) | 16.9177 | − | 29.3023i | 0.954720 | − | 1.65362i | ||||
\(315\) | 2.03602 | − | 8.16419i | 0.114717 | − | 0.460000i | ||||
\(316\) | 32.6638 | + | 56.5754i | 1.83748 | + | 3.18262i | ||||
\(317\) | −25.8905 | − | 18.1287i | −1.45415 | − | 1.01821i | −0.991278 | − | 0.131787i | \(-0.957929\pi\) |
−0.462876 | − | 0.886423i | \(-0.653182\pi\) | |||||||
\(318\) | 24.6968 | − | 41.2696i | 1.38493 | − | 2.31429i | ||||
\(319\) | 2.66229 | + | 7.31459i | 0.149060 | + | 0.409538i | ||||
\(320\) | −10.7958 | − | 11.6618i | −0.603504 | − | 0.651914i | ||||
\(321\) | −7.50077 | + | 15.4490i | −0.418652 | + | 0.862281i | ||||
\(322\) | 14.3844 | + | 1.25847i | 0.801610 | + | 0.0701318i | ||||
\(323\) | −7.96588 | − | 7.96588i | −0.443234 | − | 0.443234i | ||||
\(324\) | −14.6624 | + | 33.5775i | −0.814576 | + | 1.86542i | ||||
\(325\) | −25.9390 | − | 14.6257i | −1.43884 | − | 0.811290i | ||||
\(326\) | −33.3113 | − | 39.6989i | −1.84494 | − | 2.19872i | ||||
\(327\) | 2.25673 | + | 6.51608i | 0.124797 | + | 0.360340i | ||||
\(328\) | −0.944503 | − | 1.34889i | −0.0521515 | − | 0.0744800i | ||||
\(329\) | 0.439133 | − | 0.159831i | 0.0242102 | − | 0.00881179i | ||||
\(330\) | −24.5129 | − | 10.4585i | −1.34939 | − | 0.575720i | ||||
\(331\) | −4.86664 | − | 27.6001i | −0.267495 | − | 1.51704i | −0.761835 | − | 0.647771i | \(-0.775701\pi\) |
0.494340 | − | 0.869268i | \(-0.335410\pi\) | |||||||
\(332\) | −6.82978 | − | 1.83003i | −0.374833 | − | 0.100436i | ||||
\(333\) | −2.46174 | + | 3.29129i | −0.134902 | + | 0.180362i | ||||
\(334\) | −7.78247 | − | 4.49321i | −0.425838 | − | 0.245858i | ||||
\(335\) | 3.84097 | − | 17.7528i | 0.209854 | − | 0.969939i | ||||
\(336\) | 5.64463 | − | 7.79850i | 0.307940 | − | 0.425443i | ||||
\(337\) | −3.14172 | − | 35.9100i | −0.171140 | − | 1.95614i | −0.274727 | − | 0.961522i | \(-0.588587\pi\) |
0.103586 | − | 0.994620i | \(-0.466968\pi\) | |||||||
\(338\) | −4.82532 | − | 55.1537i | −0.262463 | − | 2.99997i | ||||
\(339\) | 21.9440 | + | 2.26668i | 1.19183 | + | 0.123109i | ||||
\(340\) | 10.7144 | − | 49.5214i | 0.581068 | − | 2.68567i | ||||
\(341\) | −11.9800 | − | 6.91666i | −0.648754 | − | 0.374558i | ||||
\(342\) | −13.3547 | − | 6.74440i | −0.722138 | − | 0.364695i | ||||
\(343\) | −15.0559 | − | 4.03422i | −0.812944 | − | 0.217828i | ||||
\(344\) | 7.95435 | + | 45.1114i | 0.428870 | + | 2.43224i | ||||
\(345\) | 14.4712 | − | 10.8630i | 0.779102 | − | 0.584846i | ||||
\(346\) | 18.9698 | − | 6.90445i | 1.01982 | − | 0.371186i | ||||
\(347\) | 9.22149 | + | 13.1696i | 0.495035 | + | 0.706984i | 0.986472 | − | 0.163930i | \(-0.0524170\pi\) |
−0.491437 | + | 0.870913i | \(0.663528\pi\) | |||||||
\(348\) | −12.8672 | + | 14.8556i | −0.689752 | + | 0.796345i | ||||
\(349\) | 3.65928 | + | 4.36096i | 0.195877 | + | 0.233437i | 0.855039 | − | 0.518564i | \(-0.173533\pi\) |
−0.659162 | + | 0.752001i | \(0.729089\pi\) | |||||||
\(350\) | 4.15130 | + | 14.8848i | 0.221896 | + | 0.795628i | ||||
\(351\) | 14.3815 | − | 27.4018i | 0.767627 | − | 1.46260i | ||||
\(352\) | −1.40689 | − | 1.40689i | −0.0749873 | − | 0.0749873i | ||||
\(353\) | 13.9775 | + | 1.22287i | 0.743946 | + | 0.0650869i | 0.452825 | − | 0.891599i | \(-0.350416\pi\) |
0.291121 | + | 0.956686i | \(0.405972\pi\) | |||||||
\(354\) | −7.56872 | − | 11.1779i | −0.402273 | − | 0.594096i | ||||
\(355\) | −12.2975 | − | 13.2839i | −0.652682 | − | 0.705035i | ||||
\(356\) | 17.9586 | + | 49.3408i | 0.951804 | + | 2.61506i | ||||
\(357\) | −12.0908 | − | 0.189386i | −0.639911 | − | 0.0100234i | ||||
\(358\) | 12.4181 | + | 8.69528i | 0.656319 | + | 0.459560i | ||||
\(359\) | 3.44870 | + | 5.97333i | 0.182016 | + | 0.315260i | 0.942567 | − | 0.334018i | \(-0.108405\pi\) |
−0.760551 | + | 0.649278i | \(0.775071\pi\) | |||||||
\(360\) | −3.57634 | − | 34.0439i | −0.188490 | − | 1.79427i | ||||
\(361\) | −7.45171 | + | 12.9067i | −0.392195 | + | 0.679302i | ||||
\(362\) | −21.2292 | + | 9.89933i | −1.11578 | + | 0.520297i | ||||
\(363\) | −5.17886 | − | 1.97734i | −0.271819 | − | 0.103784i | ||||
\(364\) | −19.5483 | + | 23.2968i | −1.02461 | + | 1.22108i | ||||
\(365\) | −10.3765 | − | 6.53651i | −0.543131 | − | 0.342137i | ||||
\(366\) | 0.617506 | − | 0.276258i | 0.0322776 | − | 0.0144402i | ||||
\(367\) | −1.50657 | − | 3.23085i | −0.0786424 | − | 0.168649i | 0.863055 | − | 0.505110i | \(-0.168548\pi\) |
−0.941698 | + | 0.336460i | \(0.890770\pi\) | |||||||
\(368\) | 19.9973 | − | 5.35826i | 1.04243 | − | 0.279319i | ||||
\(369\) | −0.0303204 | + | 0.967618i | −0.00157842 | + | 0.0503722i | ||||
\(370\) | 0.947122 | − | 7.48857i | 0.0492385 | − | 0.389312i | ||||
\(371\) | 13.9209 | − | 2.45463i | 0.722736 | − | 0.127438i | ||||
\(372\) | 0.547016 | − | 34.9225i | 0.0283615 | − | 1.81065i | ||||
\(373\) | −5.20069 | + | 11.1529i | −0.269282 | + | 0.577476i | −0.993724 | − | 0.111859i | \(-0.964319\pi\) |
0.724443 | + | 0.689335i | \(0.242097\pi\) | |||||||
\(374\) | −6.65076 | + | 37.7184i | −0.343903 | + | 1.95037i | ||||
\(375\) | 16.3282 | + | 10.4111i | 0.843184 | + | 0.537625i | ||||
\(376\) | 1.45637 | − | 1.22204i | 0.0751066 | − | 0.0630219i | ||||
\(377\) | 11.7378 | − | 11.7378i | 0.604527 | − | 0.604527i | ||||
\(378\) | −15.3320 | + | 4.77767i | −0.788591 | + | 0.245737i | ||||
\(379\) | 15.9996i | 0.821843i | 0.911671 | + | 0.410922i | \(0.134793\pi\) | ||||
−0.911671 | + | 0.410922i | \(0.865207\pi\) | |||||||
\(380\) | 18.4028 | − | 0.897393i | 0.944044 | − | 0.0460353i | ||||
\(381\) | 0.184251 | + | 2.56879i | 0.00943946 | + | 0.131603i | ||||
\(382\) | 27.3691 | − | 19.1640i | 1.40032 | − | 0.980518i | ||||
\(383\) | 22.6172 | + | 10.5466i | 1.15568 | + | 0.538904i | 0.903421 | − | 0.428755i | \(-0.141048\pi\) |
0.252262 | + | 0.967659i | \(0.418825\pi\) | |||||||
\(384\) | −8.98396 | + | 31.5439i | −0.458461 | + | 1.60972i | ||||
\(385\) | −2.39342 | − | 7.45833i | −0.121980 | − | 0.380112i | ||||
\(386\) | −37.3095 | + | 21.5406i | −1.89900 | + | 1.09639i | ||||
\(387\) | 12.1400 | − | 24.0386i | 0.617112 | − | 1.22195i | ||||
\(388\) | 3.73718 | + | 13.9473i | 0.189726 | + | 0.708069i | ||||
\(389\) | −17.5837 | − | 6.39994i | −0.891529 | − | 0.324490i | −0.144676 | − | 0.989479i | \(-0.546214\pi\) |
−0.746853 | + | 0.664989i | \(0.768436\pi\) | |||||||
\(390\) | 1.87875 | + | 56.8027i | 0.0951340 | + | 2.87631i | ||||
\(391\) | −19.9205 | − | 16.7153i | −1.00742 | − | 0.845327i | ||||
\(392\) | −27.5864 | + | 2.41350i | −1.39332 | + | 0.121900i | ||||
\(393\) | 8.44140 | − | 1.35249i | 0.425812 | − | 0.0682239i | ||||
\(394\) | −1.57138 | + | 4.31732i | −0.0791649 | + | 0.217504i | ||||
\(395\) | 13.9001 | + | 33.0804i | 0.699391 | + | 1.66446i | ||||
\(396\) | 4.86787 | + | 33.7589i | 0.244620 | + | 1.69645i | ||||
\(397\) | 2.41212 | − | 9.00214i | 0.121061 | − | 0.451805i | −0.878608 | − | 0.477544i | \(-0.841527\pi\) |
0.999669 | + | 0.0257391i | \(0.00819391\pi\) | |||||||
\(398\) | 10.9562 | − | 15.6471i | 0.549184 | − | 0.784316i | ||||
\(399\) | −1.07143 | − | 4.26471i | −0.0536385 | − | 0.213503i | ||||
\(400\) | 12.8923 | + | 18.0187i | 0.644615 | + | 0.900937i | ||||
\(401\) | −21.8705 | − | 3.85636i | −1.09216 | − | 0.192578i | −0.401575 | − | 0.915826i | \(-0.631537\pi\) |
−0.690588 | + | 0.723249i | \(0.742648\pi\) | |||||||
\(402\) | −32.7574 | + | 11.3449i | −1.63379 | + | 0.565834i | ||||
\(403\) | −2.57111 | + | 29.3879i | −0.128076 | + | 1.46391i | ||||
\(404\) | 37.9830 | 1.88972 | ||||||||
\(405\) | −10.3040 | + | 17.2866i | −0.512010 | + | 0.858979i | ||||
\(406\) | −8.61413 | −0.427512 | ||||||||
\(407\) | −0.333470 | + | 3.81158i | −0.0165295 | + | 0.188933i | ||||
\(408\) | −46.4854 | + | 16.0994i | −2.30137 | + | 0.797038i | ||||
\(409\) | 2.79062 | + | 0.492062i | 0.137987 | + | 0.0243309i | 0.242215 | − | 0.970223i | \(-0.422126\pi\) |
−0.104228 | + | 0.994553i | \(0.533237\pi\) | |||||||
\(410\) | −0.828971 | − | 1.57283i | −0.0409400 | − | 0.0776766i | ||||
\(411\) | −3.91326 | − | 15.5763i | −0.193027 | − | 0.768324i | ||||
\(412\) | 1.61110 | − | 2.30089i | 0.0793734 | − | 0.113357i | ||||
\(413\) | 1.02689 | − | 3.83240i | 0.0505299 | − | 0.188580i | ||||
\(414\) | −32.0664 | − | 12.8223i | −1.57598 | − | 0.630180i | ||||
\(415\) | −3.59558 | − | 1.46793i | −0.176500 | − | 0.0720580i | ||||
\(416\) | −1.45119 | + | 3.98710i | −0.0711503 | + | 0.195484i | ||||
\(417\) | 1.13554 | − | 0.181938i | 0.0556078 | − | 0.00890952i | ||||
\(418\) | −13.8745 | + | 1.21386i | −0.678626 | + | 0.0593720i | ||||
\(419\) | −3.08697 | − | 2.59027i | −0.150808 | − | 0.126543i | 0.564262 | − | 0.825596i | \(-0.309161\pi\) |
−0.715070 | + | 0.699053i | \(0.753605\pi\) | |||||||
\(420\) | 13.5144 | − | 14.4390i | 0.659437 | − | 0.704551i | ||||
\(421\) | −4.12343 | − | 1.50080i | −0.200964 | − | 0.0731448i | 0.239577 | − | 0.970877i | \(-0.422991\pi\) |
−0.440541 | + | 0.897733i | \(0.645213\pi\) | |||||||
\(422\) | 13.6459 | + | 50.9271i | 0.664271 | + | 2.47909i | ||||
\(423\) | −1.11595 | + | 0.0624930i | −0.0542591 | + | 0.00303852i | ||||
\(424\) | 49.8028 | − | 28.7537i | 2.41864 | − | 1.39640i | ||||
\(425\) | 9.25149 | − | 26.2469i | 0.448763 | − | 1.27316i | ||||
\(426\) | −9.46355 | + | 33.2278i | −0.458511 | + | 1.60989i | ||||
\(427\) | 0.180198 | + | 0.0840279i | 0.00872041 | + | 0.00406640i | ||||
\(428\) | −33.0651 | + | 23.1524i | −1.59826 | + | 1.11912i | ||||
\(429\) | −2.06105 | − | 28.7348i | −0.0995085 | − | 1.38733i | ||||
\(430\) | 2.40889 | + | 49.3990i | 0.116167 | + | 2.38223i | ||||
\(431\) | 14.3108i | 0.689325i | 0.938727 | + | 0.344662i | \(0.112007\pi\) | ||||
−0.938727 | + | 0.344662i | \(0.887993\pi\) | |||||||
\(432\) | −18.3140 | + | 13.9555i | −0.881132 | + | 0.671433i | ||||
\(433\) | −10.5706 | + | 10.5706i | −0.507988 | + | 0.507988i | −0.913909 | − | 0.405920i | \(-0.866951\pi\) |
0.405920 | + | 0.913909i | \(0.366951\pi\) | |||||||
\(434\) | 11.7270 | − | 9.84015i | 0.562915 | − | 0.472342i | ||||
\(435\) | −8.03546 | + | 7.20838i | −0.385271 | + | 0.345615i | ||||
\(436\) | −2.81448 | + | 15.9617i | −0.134789 | + | 0.764427i | ||||
\(437\) | 3.99638 | − | 8.57026i | 0.191173 | − | 0.409971i | ||||
\(438\) | −0.366580 | + | 23.4031i | −0.0175159 | + | 1.11824i | ||||
\(439\) | −23.9432 | + | 4.22183i | −1.14275 | + | 0.201497i | −0.712807 | − | 0.701360i | \(-0.752576\pi\) |
−0.429940 | + | 0.902857i | \(0.641465\pi\) | |||||||
\(440\) | −19.5275 | − | 25.1822i | −0.930939 | − | 1.20052i | ||||
\(441\) | 13.8371 | + | 8.57760i | 0.658908 | + | 0.408457i | ||||
\(442\) | 78.8937 | − | 21.1395i | 3.75259 | − | 1.00550i | ||||
\(443\) | 2.85840 | + | 6.12987i | 0.135807 | + | 0.291239i | 0.962436 | − | 0.271508i | \(-0.0875224\pi\) |
−0.826629 | + | 0.562747i | \(0.809745\pi\) | |||||||
\(444\) | −8.81813 | + | 3.94502i | −0.418490 | + | 0.187222i | ||||
\(445\) | 6.38551 | + | 28.1247i | 0.302702 | + | 1.33324i | ||||
\(446\) | 36.4773 | − | 43.4720i | 1.72725 | − | 2.05846i | ||||
\(447\) | 8.40750 | + | 3.21007i | 0.397661 | + | 0.151831i | ||||
\(448\) | −8.07923 | + | 3.76741i | −0.381708 | + | 0.177993i | ||||
\(449\) | −1.79424 | + | 3.10771i | −0.0846753 | + | 0.146662i | −0.905253 | − | 0.424873i | \(-0.860319\pi\) |
0.820577 | + | 0.571535i | \(0.193652\pi\) | |||||||
\(450\) | 0.781283 | − | 36.9509i | 0.0368300 | − | 1.74188i | ||||
\(451\) | 0.450607 | + | 0.780474i | 0.0212183 | + | 0.0367511i | ||||
\(452\) | 42.4745 | + | 29.7409i | 1.99783 | + | 1.39890i | ||||
\(453\) | −7.24186 | − | 0.113434i | −0.340252 | − | 0.00532961i | ||||
\(454\) | −20.0278 | − | 55.0260i | −0.939953 | − | 2.58250i | ||||
\(455\) | −12.2579 | + | 11.3477i | −0.574661 | + | 0.531988i | ||||
\(456\) | −10.0300 | − | 14.8128i | −0.469697 | − | 0.693672i | ||||
\(457\) | 30.2131 | + | 2.64330i | 1.41331 | + | 0.123648i | 0.768086 | − | 0.640347i | \(-0.221209\pi\) |
0.645222 | + | 0.763995i | \(0.276765\pi\) | |||||||
\(458\) | −26.7269 | − | 26.7269i | −1.24887 | − | 1.24887i | ||||
\(459\) | 27.5535 | + | 8.78931i | 1.28609 | + | 0.410250i | ||||
\(460\) | 42.1374 | − | 5.76593i | 1.96467 | − | 0.268838i | ||||
\(461\) | 25.6308 | + | 30.5456i | 1.19375 | + | 1.42265i | 0.881197 | + | 0.472750i | \(0.156739\pi\) |
0.312550 | + | 0.949901i | \(0.398817\pi\) | |||||||
\(462\) | −9.78766 | + | 11.3002i | −0.455363 | + | 0.525734i | ||||
\(463\) | −9.84673 | − | 14.0626i | −0.457616 | − | 0.653544i | 0.522344 | − | 0.852735i | \(-0.325058\pi\) |
−0.979961 | + | 0.199191i | \(0.936169\pi\) | |||||||
\(464\) | −11.6059 | + | 4.22420i | −0.538790 | + | 0.196103i | ||||
\(465\) | 2.70492 | − | 18.9924i | 0.125438 | − | 0.880751i | ||||
\(466\) | −5.44442 | − | 30.8768i | −0.252208 | − | 1.43034i | ||||
\(467\) | −17.7326 | − | 4.75144i | −0.820568 | − | 0.219870i | −0.175973 | − | 0.984395i | \(-0.556307\pi\) |
−0.644595 | + | 0.764525i | \(0.722974\pi\) | |||||||
\(468\) | 60.8600 | − | 39.8336i | 2.81325 | − | 1.84131i | ||||
\(469\) | −8.82379 | − | 5.09442i | −0.407445 | − | 0.235238i | ||||
\(470\) | 1.72556 | − | 1.11170i | 0.0795942 | − | 0.0512787i | ||||
\(471\) | −23.6590 | − | 2.44383i | −1.09015 | − | 0.112606i | ||||
\(472\) | −1.40679 | − | 16.0797i | −0.0647529 | − | 0.740129i | ||||
\(473\) | −2.18497 | − | 24.9744i | −0.100465 | − | 1.14832i | ||||
\(474\) | 40.1542 | − | 55.4762i | 1.84434 | − | 2.54811i | ||||
\(475\) | 10.0900 | + | 0.779301i | 0.462959 | + | 0.0357568i | ||||
\(476\) | −24.6139 | − | 14.2109i | −1.12818 | − | 0.651354i | ||||
\(477\) | −33.5712 | − | 4.00002i | −1.53712 | − | 0.183149i | ||||
\(478\) | −12.9425 | − | 3.46794i | −0.591978 | − | 0.158620i | ||||
\(479\) | −4.07702 | − | 23.1219i | −0.186284 | − | 1.05647i | −0.924295 | − | 0.381679i | \(-0.875346\pi\) |
0.738011 | − | 0.674789i | \(-0.235765\pi\) | |||||||
\(480\) | 1.08280 | − | 2.53789i | 0.0494227 | − | 0.115838i | ||||
\(481\) | 7.66733 | − | 2.79068i | 0.349600 | − | 0.127244i | ||||
\(482\) | −10.5464 | − | 15.0618i | −0.480374 | − | 0.686046i | ||||
\(483\) | −3.32178 | − | 9.59131i | −0.151146 | − | 0.436420i | ||||
\(484\) | −8.37519 | − | 9.98117i | −0.380691 | − | 0.453689i | ||||
\(485\) | 1.07523 | + | 7.85779i | 0.0488238 | + | 0.356804i | ||||
\(486\) | 38.4076 | − | 0.343924i | 1.74220 | − | 0.0156007i | ||||
\(487\) | 7.21511 | + | 7.21511i | 0.326948 | + | 0.326948i | 0.851425 | − | 0.524477i | \(-0.175739\pi\) |
−0.524477 | + | 0.851425i | \(0.675739\pi\) | |||||||
\(488\) | 0.805800 | + | 0.0704984i | 0.0364768 | + | 0.00319131i | ||||
\(489\) | −15.9110 | + | 32.7712i | −0.719521 | + | 1.48197i | ||||
\(490\) | −29.8764 | − | 1.15204i | −1.34968 | − | 0.0520438i | ||||
\(491\) | −11.3506 | − | 31.1854i | −0.512243 | − | 1.40738i | −0.878893 | − | 0.477018i | \(-0.841718\pi\) |
0.366650 | − | 0.930359i | \(-0.380505\pi\) | |||||||
\(492\) | −1.16843 | + | 1.95250i | −0.0526769 | + | 0.0880257i | ||||
\(493\) | 12.7079 | + | 8.89818i | 0.572336 | + | 0.400754i | ||||
\(494\) | 14.8505 | + | 25.7218i | 0.668156 | + | 1.15728i | ||||
\(495\) | 0.325970 | + | 18.7315i | 0.0146513 | + | 0.841919i | ||||
\(496\) | 10.9745 | − | 19.0084i | 0.492770 | − | 0.853502i | ||||
\(497\) | −9.20302 | + | 4.29144i | −0.412812 | + | 0.192497i | ||||
\(498\) | 1.17264 | + | 7.31892i | 0.0525474 | + | 0.327969i | ||||
\(499\) | 15.7113 | − | 18.7240i | 0.703333 | − | 0.838200i | −0.289566 | − | 0.957158i | \(-0.593511\pi\) |
0.992899 | + | 0.118958i | \(0.0379555\pi\) | |||||||
\(500\) | 21.6310 | + | 40.0469i | 0.967366 | + | 1.79095i | ||||
\(501\) | −0.649062 | + | 6.28365i | −0.0289980 | + | 0.280733i | ||||
\(502\) | −5.25932 | − | 11.2786i | −0.234735 | − | 0.503391i | ||||
\(503\) | −37.2709 | + | 9.98672i | −1.66183 | + | 0.445286i | −0.962890 | − | 0.269896i | \(-0.913011\pi\) |
−0.698939 | + | 0.715181i | \(0.746344\pi\) | |||||||
\(504\) | −18.7965 | − | 3.92502i | −0.837265 | − | 0.174834i | ||||
\(505\) | 20.6978 | + | 2.61777i | 0.921040 | + | 0.116489i | ||||
\(506\) | −31.6608 | + | 5.58265i | −1.40749 | + | 0.248179i | ||||
\(507\) | −34.0054 | + | 18.9292i | −1.51023 | + | 0.840674i | ||||
\(508\) | −2.55820 | + | 5.48608i | −0.113502 | + | 0.243405i | ||||
\(509\) | −0.294649 | + | 1.67104i | −0.0130601 | + | 0.0740674i | −0.990641 | − | 0.136492i | \(-0.956417\pi\) |
0.977581 | + | 0.210559i | \(0.0675284\pi\) | |||||||
\(510\) | −51.9743 | + | 10.9474i | −2.30146 | + | 0.484757i | ||||
\(511\) | −5.26985 | + | 4.42193i | −0.233124 | + | 0.195615i | ||||
\(512\) | −29.7458 | + | 29.7458i | −1.31459 | + | 1.31459i | ||||
\(513\) | −0.493984 | + | 10.5054i | −0.0218099 | + | 0.463825i | ||||
\(514\) | − | 65.7653i | − | 2.90078i | ||||||
\(515\) | 1.03650 | − | 1.14277i | 0.0456738 | − | 0.0503567i | ||||
\(516\) | 52.4120 | − | 35.4891i | 2.30731 | − | 1.56232i | ||||
\(517\) | −0.852312 | + | 0.596795i | −0.0374846 | + | 0.0262470i | ||||
\(518\) | −3.83746 | − | 1.78944i | −0.168608 | − | 0.0786234i | ||||
\(519\) | −9.87603 | − | 10.1903i | −0.433509 | − | 0.447306i | ||||
\(520\) | −31.0714 | + | 60.4371i | −1.36257 | + | 2.65034i | ||||
\(521\) | 22.9824 | − | 13.2689i | 1.00688 | − | 0.581322i | 0.0966024 | − | 0.995323i | \(-0.469202\pi\) |
0.910276 | + | 0.414001i | \(0.135869\pi\) | |||||||
\(522\) | 19.7239 | + | 5.95304i | 0.863292 | + | 0.260557i | ||||
\(523\) | −3.93354 | − | 14.6802i | −0.172002 | − | 0.641920i | −0.997043 | − | 0.0768469i | \(-0.975515\pi\) |
0.825041 | − | 0.565073i | \(-0.191152\pi\) | |||||||
\(524\) | 18.8820 | + | 6.87247i | 0.824863 | + | 0.300225i | ||||
\(525\) | 8.35946 | − | 6.93674i | 0.364837 | − | 0.302744i | ||||
\(526\) | 49.4526 | + | 41.4957i | 2.15624 | + | 1.80930i | ||||
\(527\) | −27.4648 | + | 2.40286i | −1.19639 | + | 0.104670i | ||||
\(528\) | −7.64559 | + | 20.0245i | −0.332731 | + | 0.871457i | ||||
\(529\) | −0.400836 | + | 1.10129i | −0.0174277 | + | 0.0478821i | ||||
\(530\) | 57.2421 | − | 24.0527i | 2.48644 | − | 1.04478i | ||||
\(531\) | −4.99977 | + | 8.06544i | −0.216971 | + | 0.350010i | ||||
\(532\) | 2.67497 | − | 9.98314i | 0.115975 | − | 0.432824i | ||||
\(533\) | 1.10234 | − | 1.57431i | 0.0477478 | − | 0.0681909i | ||||
\(534\) | 39.5267 | − | 38.3075i | 1.71049 | − | 1.65773i | ||||
\(535\) | −19.6136 | + | 10.3375i | −0.847970 | + | 0.446928i | ||||
\(536\) | −40.8210 | − | 7.19784i | −1.76320 | − | 0.310900i | ||||
\(537\) | 2.01465 | − | 10.4645i | 0.0869387 | − | 0.451577i | ||||
\(538\) | 0.494458 | − | 5.65168i | 0.0213176 | − | 0.243661i | ||||
\(539\) | 15.1554 | 0.652788 | ||||||||
\(540\) | −40.9227 | + | 23.7217i | −1.76103 | + | 1.02082i | ||||
\(541\) | 6.56072 | 0.282068 | 0.141034 | − | 0.990005i | \(-0.454957\pi\) | ||||
0.141034 | + | 0.990005i | \(0.454957\pi\) | |||||||
\(542\) | 1.31440 | − | 15.0236i | 0.0564582 | − | 0.645320i | ||||
\(543\) | 12.4463 | + | 10.7804i | 0.534124 | + | 0.462630i | ||||
\(544\) | −3.90510 | − | 0.688574i | −0.167430 | − | 0.0295224i | ||||
\(545\) | −2.63375 | + | 8.50393i | −0.112817 | + | 0.364268i | ||||
\(546\) | 30.6615 | + | 8.73265i | 1.31219 | + | 0.373723i | ||||
\(547\) | −20.6319 | + | 29.4654i | −0.882156 | + | 1.25985i | 0.0825680 | + | 0.996585i | \(0.473688\pi\) |
−0.964724 | + | 0.263264i | \(0.915201\pi\) | |||||||
\(548\) | 9.77001 | − | 36.4622i | 0.417354 | − | 1.55759i | ||||
\(549\) | −0.354533 | − | 0.316931i | −0.0151311 | − | 0.0135263i | ||||
\(550\) | −17.5055 | − | 29.6197i | −0.746438 | − | 1.26299i | ||||
\(551\) | −1.92945 | + | 5.30113i | −0.0821975 | + | 0.225836i | ||||
\(552\) | −26.0444 | − | 32.0447i | −1.10852 | − | 1.36391i | ||||
\(553\) | 20.0515 | − | 1.75428i | 0.852675 | − | 0.0745994i | ||||
\(554\) | 19.9852 | + | 16.7696i | 0.849089 | + | 0.712470i | ||||
\(555\) | −5.07709 | + | 1.54199i | −0.215511 | + | 0.0654540i | ||||
\(556\) | 2.54002 | + | 0.924490i | 0.107721 | + | 0.0392071i | ||||
\(557\) | −1.17275 | − | 4.37675i | −0.0496908 | − | 0.185449i | 0.936620 | − | 0.350348i | \(-0.113937\pi\) |
−0.986310 | + | 0.164899i | \(0.947270\pi\) | |||||||
\(558\) | −33.6519 | + | 14.4268i | −1.42460 | + | 0.610737i | ||||
\(559\) | −46.2997 | + | 26.7312i | −1.95827 | + | 1.13061i | ||||
\(560\) | 11.8340 | − | 3.79759i | 0.500076 | − | 0.160477i | ||||
\(561\) | 26.1120 | − | 6.56015i | 1.10245 | − | 0.276970i | ||||
\(562\) | 13.5783 | + | 6.33165i | 0.572765 | + | 0.267085i | ||||
\(563\) | 2.17564 | − | 1.52340i | 0.0916924 | − | 0.0642037i | −0.526831 | − | 0.849970i | \(-0.676620\pi\) |
0.618524 | + | 0.785766i | \(0.287731\pi\) | |||||||
\(564\) | −2.36322 | − | 1.14739i | −0.0995097 | − | 0.0483137i | ||||
\(565\) | 21.0956 | + | 19.1338i | 0.887498 | + | 0.804967i | ||||
\(566\) | − | 8.82639i | − | 0.371001i | ||||||
\(567\) | 7.46702 | + | 8.46656i | 0.313585 | + | 0.355562i | ||||
\(568\) | −29.2111 | + | 29.2111i | −1.22567 | + | 1.22567i | ||||
\(569\) | −22.4581 | + | 18.8446i | −0.941494 | + | 0.790007i | −0.977845 | − | 0.209332i | \(-0.932871\pi\) |
0.0363507 | + | 0.999339i | \(0.488427\pi\) | |||||||
\(570\) | −8.73694 | − | 17.2256i | −0.365950 | − | 0.721503i | ||||
\(571\) | −2.73020 | + | 15.4837i | −0.114255 | + | 0.647973i | 0.872861 | + | 0.487969i | \(0.162262\pi\) |
−0.987116 | + | 0.160004i | \(0.948849\pi\) | |||||||
\(572\) | 28.6163 | − | 61.3679i | 1.19651 | − | 2.56592i | ||||
\(573\) | −20.1538 | − | 12.0606i | −0.841938 | − | 0.503837i | ||||
\(574\) | −0.982170 | + | 0.173183i | −0.0409950 | + | 0.00722852i | ||||
\(575\) | 23.3590 | − | 0.237901i | 0.974139 | − | 0.00992115i | ||||
\(576\) | 21.1027 | − | 3.04291i | 0.879280 | − | 0.126788i | ||||
\(577\) | −26.2315 | + | 7.02870i | −1.09203 | + | 0.292609i | −0.759515 | − | 0.650489i | \(-0.774564\pi\) |
−0.332515 | + | 0.943098i | \(0.607897\pi\) | |||||||
\(578\) | 14.5571 | + | 31.2178i | 0.605496 | + | 1.29849i | ||||
\(579\) | 24.5324 | + | 17.7568i | 1.01953 | + | 0.737947i | ||||
\(580\) | −24.7426 | + | 5.61765i | −1.02738 | + | 0.233260i | ||||
\(581\) | −1.40035 | + | 1.66887i | −0.0580961 | + | 0.0692363i | ||||
\(582\) | 11.7465 | − | 9.54698i | 0.486907 | − | 0.395735i | ||||
\(583\) | −28.5243 | + | 13.3011i | −1.18136 | + | 0.550875i | ||||
\(584\) | −13.9934 | + | 24.2372i | −0.579049 | + | 1.00294i | ||||
\(585\) | 35.9093 | − | 17.5118i | 1.48467 | − | 0.724024i | ||||
\(586\) | −32.8581 | − | 56.9118i | −1.35735 | − | 2.35101i | ||||
\(587\) | 0.298326 | + | 0.208890i | 0.0123132 | + | 0.00862180i | 0.579717 | − | 0.814818i | \(-0.303163\pi\) |
−0.567404 | + | 0.823440i | \(0.692052\pi\) | |||||||
\(588\) | 18.6110 | + | 33.4338i | 0.767505 | + | 1.37879i | ||||
\(589\) | −3.42892 | − | 9.42087i | −0.141286 | − | 0.388180i | ||||
\(590\) | 0.671508 | − | 17.4145i | 0.0276456 | − | 0.716945i | ||||
\(591\) | 3.22140 | − | 0.231060i | 0.132511 | − | 0.00950454i | ||||
\(592\) | −6.04775 | − | 0.529109i | −0.248561 | − | 0.0217463i | ||||
\(593\) | 5.77411 | + | 5.77411i | 0.237114 | + | 0.237114i | 0.815654 | − | 0.578540i | \(-0.196377\pi\) |
−0.578540 | + | 0.815654i | \(0.696377\pi\) | |||||||
\(594\) | 30.2203 | − | 19.1103i | 1.23995 | − | 0.784104i | ||||
\(595\) | −12.4333 | − | 9.44021i | −0.509715 | − | 0.387011i | ||||
\(596\) | 13.5965 | + | 16.2037i | 0.556936 | + | 0.663730i | ||||
\(597\) | −13.1855 | − | 2.53850i | −0.539645 | − | 0.103894i | ||||
\(598\) | 39.3241 | + | 56.1607i | 1.60808 | + | 2.29658i | ||||
\(599\) | 22.4110 | − | 8.15692i | 0.915687 | − | 0.333283i | 0.159166 | − | 0.987252i | \(-0.449120\pi\) |
0.756521 | + | 0.653969i | \(0.226897\pi\) | |||||||
\(600\) | 22.3055 | − | 38.1501i | 0.910618 | − | 1.55747i | ||||
\(601\) | −0.792095 | − | 4.49219i | −0.0323102 | − | 0.183240i | 0.964381 | − | 0.264515i | \(-0.0852120\pi\) |
−0.996692 | + | 0.0812748i | \(0.974101\pi\) | |||||||
\(602\) | 26.7979 | + | 7.18049i | 1.09220 | + | 0.292655i | ||||
\(603\) | 16.6833 | + | 17.7627i | 0.679398 | + | 0.723353i | ||||
\(604\) | −14.7427 | − | 8.51171i | −0.599872 | − | 0.346336i | ||||
\(605\) | −3.87594 | − | 6.01618i | −0.157579 | − | 0.244593i | ||||
\(606\) | −16.2605 | − | 36.3463i | −0.660536 | − | 1.47647i | ||||
\(607\) | −3.54176 | − | 40.4825i | −0.143756 | − | 1.64313i | −0.635289 | − | 0.772275i | \(-0.719119\pi\) |
0.491533 | − | 0.870859i | \(-0.336437\pi\) | |||||||
\(608\) | −0.125675 | − | 1.43647i | −0.00509680 | − | 0.0582566i | ||||
\(609\) | 2.47285 | + | 5.52744i | 0.100205 | + | 0.223983i | ||||
\(610\) | 0.853589 | + | 0.184681i | 0.0345608 | + | 0.00747751i | ||||
\(611\) | 1.92160 | + | 1.10943i | 0.0777394 | + | 0.0448829i | ||||
\(612\) | 46.5381 | + | 49.5490i | 1.88119 | + | 2.00290i | ||||
\(613\) | 21.4349 | + | 5.74347i | 0.865749 | + | 0.231977i | 0.664249 | − | 0.747512i | \(-0.268752\pi\) |
0.201500 | + | 0.979488i | \(0.435418\pi\) | |||||||
\(614\) | 5.59463 | + | 31.7288i | 0.225781 | + | 1.28047i | ||||
\(615\) | −0.771270 | + | 0.983438i | −0.0311006 | + | 0.0396560i | ||||
\(616\) | −16.7974 | + | 6.11376i | −0.676788 | + | 0.246331i | ||||
\(617\) | −7.45148 | − | 10.6418i | −0.299985 | − | 0.428423i | 0.640655 | − | 0.767829i | \(-0.278663\pi\) |
−0.940640 | + | 0.339406i | \(0.889774\pi\) | |||||||
\(618\) | −2.89146 | − | 0.556671i | −0.116312 | − | 0.0223926i | ||||
\(619\) | 7.80404 | + | 9.30049i | 0.313671 | + | 0.373818i | 0.899728 | − | 0.436452i | \(-0.143765\pi\) |
−0.586057 | + | 0.810270i | \(0.699321\pi\) | |||||||
\(620\) | 27.2667 | − | 35.9119i | 1.09506 | − | 1.44225i | ||||
\(621\) | 0.977581 | + | 24.2570i | 0.0392290 | + | 0.973399i | ||||
\(622\) | 19.0207 | + | 19.0207i | 0.762661 | + | 0.762661i | ||||
\(623\) | 16.1165 | + | 1.41001i | 0.645693 | + | 0.0564908i | ||||
\(624\) | 45.5928 | − | 3.27022i | 1.82517 | − | 0.130914i | ||||
\(625\) | 9.02720 | + | 23.3133i | 0.361088 | + | 0.932532i | ||||
\(626\) | 4.04832 | + | 11.1227i | 0.161804 | + | 0.444552i | ||||
\(627\) | 4.76184 | + | 8.55443i | 0.190170 | + | 0.341631i | ||||
\(628\) | −45.7939 | − | 32.0653i | −1.82738 | − | 1.27954i | ||||
\(629\) | 3.81274 | + | 6.60386i | 0.152024 | + | 0.263313i | ||||
\(630\) | −19.6023 | − | 6.75079i | −0.780976 | − | 0.268958i | ||||
\(631\) | 11.6365 | − | 20.1551i | 0.463243 | − | 0.802360i | −0.535877 | − | 0.844296i | \(-0.680019\pi\) |
0.999120 | + | 0.0419354i | \(0.0133524\pi\) | |||||||
\(632\) | 74.2139 | − | 34.6065i | 2.95207 | − | 1.37657i | ||||
\(633\) | 28.7612 | − | 23.3757i | 1.14315 | − | 0.929102i | ||||
\(634\) | −50.0581 | + | 59.6569i | −1.98806 | + | 2.36928i | ||||
\(635\) | −1.77212 | + | 2.81318i | −0.0703244 | + | 0.111638i | ||||
\(636\) | −64.3714 | − | 46.5926i | −2.55249 | − | 1.84752i | ||||
\(637\) | −13.6588 | − | 29.2913i | −0.541181 | − | 1.16057i | ||||
\(638\) | 18.5259 | − | 4.96400i | 0.733447 | − | 0.196526i | ||||
\(639\) | 24.0380 | − | 3.46617i | 0.950929 | − | 0.137119i | ||||
\(640\) | −33.4608 | + | 25.9471i | −1.32265 | + | 1.02565i | ||||
\(641\) | −36.8613 | + | 6.49963i | −1.45593 | + | 0.256720i | −0.844916 | − | 0.534898i | \(-0.820350\pi\) |
−0.611016 | + | 0.791618i | \(0.709239\pi\) | |||||||
\(642\) | 36.3099 | + | 21.7288i | 1.43304 | + | 0.857567i | ||||
\(643\) | 13.7719 | − | 29.5339i | 0.543110 | − | 1.16470i | −0.422895 | − | 0.906179i | \(-0.638986\pi\) |
0.966005 | − | 0.258524i | \(-0.0832361\pi\) | |||||||
\(644\) | 4.14276 | − | 23.4948i | 0.163248 | − | 0.925823i | ||||
\(645\) | 31.0064 | − | 15.7266i | 1.22088 | − | 0.619235i | ||||
\(646\) | −21.2635 | + | 17.8422i | −0.836600 | + | 0.701991i | ||||
\(647\) | −25.9188 | + | 25.9188i | −1.01897 | + | 1.01897i | −0.0191583 | + | 0.999816i | \(0.506099\pi\) |
−0.999816 | + | 0.0191583i | \(0.993901\pi\) | |||||||
\(648\) | 40.3263 | + | 21.9771i | 1.58417 | + | 0.863340i | ||||
\(649\) | 8.83386i | 0.346759i | ||||||||
\(650\) | −41.4702 | + | 60.5283i | −1.62659 | + | 2.37412i | ||||
\(651\) | −9.68060 | − | 4.70010i | −0.379413 | − | 0.184212i | ||||
\(652\) | −70.1394 | + | 49.1121i | −2.74687 | + | 1.92338i | ||||
\(653\) | 31.3994 | + | 14.6418i | 1.22875 | + | 0.572978i | 0.925071 | − | 0.379795i | \(-0.124006\pi\) |
0.303684 | + | 0.952773i | \(0.401783\pi\) | |||||||
\(654\) | 16.4788 | − | 4.13998i | 0.644372 | − | 0.161886i | ||||
\(655\) | 9.81557 | + | 5.04631i | 0.383526 | + | 0.197175i | ||||
\(656\) | −1.23836 | + | 0.714967i | −0.0483498 | + | 0.0279148i | ||||
\(657\) | 15.1224 | − | 6.48308i | 0.589979 | − | 0.252929i | ||||
\(658\) | −0.298015 | − | 1.11221i | −0.0116178 | − | 0.0433583i | ||||
\(659\) | 14.1890 | + | 5.16436i | 0.552723 | + | 0.201175i | 0.603256 | − | 0.797548i | \(-0.293870\pi\) |
−0.0505327 | + | 0.998722i | \(0.516092\pi\) | |||||||
\(660\) | −20.7440 | + | 38.8409i | −0.807461 | + | 1.51188i | ||||
\(661\) | 26.1426 | + | 21.9363i | 1.01683 | + | 0.853222i | 0.989226 | − | 0.146397i | \(-0.0467677\pi\) |
0.0276043 | + | 0.999619i | \(0.491212\pi\) | |||||||
\(662\) | −68.7915 | + | 6.01847i | −2.67366 | + | 0.233915i | ||||
\(663\) | −36.2125 | − | 44.5553i | −1.40638 | − | 1.73039i | ||||
\(664\) | −3.03129 | + | 8.32839i | −0.117637 | + | 0.323204i | ||||
\(665\) | 2.14569 | − | 5.25568i | 0.0832062 | − | 0.203807i | ||||
\(666\) | 7.55006 | + | 6.74929i | 0.292559 | + | 0.261530i | ||||
\(667\) | −3.37035 | + | 12.5783i | −0.130501 | + | 0.487035i | ||||
\(668\) | −8.51630 | + | 12.1625i | −0.329505 | + | 0.470582i | ||||
\(669\) | −38.3662 | − | 10.9270i | −1.48332 | − | 0.422463i | ||||
\(670\) | −42.7506 | − | 13.2403i | −1.65160 | − | 0.511516i | ||||
\(671\) | −0.435964 | − | 0.0768722i | −0.0168302 | − | 0.00296762i | ||||
\(672\) | −1.16995 | − | 1.01335i | −0.0451317 | − | 0.0390907i | ||||
\(673\) | 3.93526 | − | 44.9802i | 0.151693 | − | 1.73386i | −0.414905 | − | 0.909865i | \(-0.636185\pi\) |
0.566598 | − | 0.823995i | \(-0.308259\pi\) | |||||||
\(674\) | −88.8183 | −3.42115 | ||||||||
\(675\) | −23.9346 | + | 10.1061i | −0.921244 | + | 0.388985i | ||||
\(676\) | −91.4752 | −3.51828 | ||||||||
\(677\) | −1.38136 | + | 15.7890i | −0.0530900 | + | 0.606822i | 0.922321 | + | 0.386426i | \(0.126290\pi\) |
−0.975411 | + | 0.220396i | \(0.929265\pi\) | |||||||
\(678\) | 10.2761 | − | 53.3763i | 0.394652 | − | 2.04990i | ||||
\(679\) | 4.38131 | + | 0.772543i | 0.168139 | + | 0.0296475i | ||||
\(680\) | −60.6666 | − | 18.7890i | −2.32646 | − | 0.720526i | ||||
\(681\) | −29.5593 | + | 28.6475i | −1.13271 | + | 1.09778i | ||||
\(682\) | −19.5501 | + | 27.9204i | −0.748612 | + | 1.06913i | ||||
\(683\) | −1.88306 | + | 7.02767i | −0.0720532 | + | 0.268906i | −0.992549 | − | 0.121846i | \(-0.961119\pi\) |
0.920496 | + | 0.390753i | \(0.127785\pi\) | |||||||
\(684\) | −13.0241 | + | 21.0099i | −0.497987 | + | 0.803335i | ||||
\(685\) | 7.83686 | − | 19.1957i | 0.299431 | − | 0.733431i | ||||
\(686\) | −13.1355 | + | 36.0895i | −0.501515 | + | 1.37790i | ||||
\(687\) | −9.47743 | + | 24.8223i | −0.361587 | + | 0.947031i | ||||
\(688\) | 39.6262 | − | 3.46685i | 1.51074 | − | 0.132172i | ||||
\(689\) | 51.4151 | + | 43.1424i | 1.95876 | + | 1.64359i | ||||
\(690\) | −23.5564 | − | 37.8533i | −0.896778 | − | 1.44105i | ||||
\(691\) | 42.1583 | + | 15.3444i | 1.60378 | + | 0.583728i | 0.980196 | − | 0.198030i | \(-0.0634544\pi\) |
0.623582 | + | 0.781758i | \(0.285677\pi\) | |||||||
\(692\) | −8.63269 | − | 32.2177i | −0.328166 | − | 1.22473i | ||||
\(693\) | 10.0608 | + | 3.03652i | 0.382177 | + | 0.115348i | ||||
\(694\) | 34.3061 | − | 19.8066i | 1.30224 | − | 0.751849i | ||||
\(695\) | 1.32040 | + | 0.678833i | 0.0500855 | + | 0.0257496i | ||||
\(696\) | 17.1445 | + | 17.6901i | 0.649859 | + | 0.670542i | ||||
\(697\) | 1.62783 | + | 0.759071i | 0.0616585 | + | 0.0287519i | ||||
\(698\) | 11.4901 | − | 8.04544i | 0.434906 | − | 0.304525i | ||||
\(699\) | −18.2499 | + | 12.3573i | −0.690273 | + | 0.467396i | ||||
\(700\) | 25.0975 | − | 4.68940i | 0.948597 | − | 0.177242i | ||||
\(701\) | − | 23.7146i | − | 0.895688i | −0.894112 | − | 0.447844i | \(-0.852192\pi\) | ||
0.894112 | − | 0.447844i | \(-0.147808\pi\) | |||||||
\(702\) | −64.1712 | − | 41.1848i | −2.42199 | − | 1.55442i | ||||
\(703\) | −1.96076 | + | 1.96076i | −0.0739516 | + | 0.0739516i | ||||
\(704\) | 15.2045 | − | 12.7581i | 0.573041 | − | 0.480839i | ||||
\(705\) | −1.20870 | − | 0.788110i | −0.0455222 | − | 0.0296819i | ||||
\(706\) | 6.00324 | − | 34.0461i | 0.225935 | − | 1.28134i | ||||
\(707\) | 4.94586 | − | 10.6064i | 0.186008 | − | 0.398896i | ||||
\(708\) | −19.4881 | + | 10.8481i | −0.732408 | + | 0.407697i | ||||
\(709\) | 35.6845 | − | 6.29214i | 1.34016 | − | 0.236306i | 0.542826 | − | 0.839845i | \(-0.317354\pi\) |
0.797334 | + | 0.603539i | \(0.206243\pi\) | |||||||
\(710\) | −35.2471 | + | 27.3323i | −1.32280 | + | 1.02576i | ||||
\(711\) | −47.1245 | − | 9.84034i | −1.76731 | − | 0.369042i | ||||
\(712\) | 63.5736 | − | 17.0345i | 2.38252 | − | 0.638395i | ||||
\(713\) | −9.78025 | − | 20.9738i | −0.366273 | − | 0.785476i | ||||
\(714\) | −3.06132 | + | 29.6370i | −0.114567 | + | 1.10914i | ||||
\(715\) | 19.8231 | − | 31.4686i | 0.741343 | − | 1.17686i | ||||
\(716\) | 16.1002 | − | 19.1875i | 0.601694 | − | 0.717071i | ||||
\(717\) | 1.49012 | + | 9.30039i | 0.0556494 | + | 0.347329i | ||||
\(718\) | 15.4026 | − | 7.18233i | 0.574818 | − | 0.268042i | ||||
\(719\) | 3.82026 | − | 6.61689i | 0.142472 | − | 0.246768i | −0.785955 | − | 0.618284i | \(-0.787828\pi\) |
0.928427 | + | 0.371515i | \(0.121162\pi\) | |||||||
\(720\) | −29.7208 | + | 0.517209i | −1.10763 | + | 0.0192752i | ||||
\(721\) | −0.432720 | − | 0.749493i | −0.0161153 | − | 0.0279126i | ||||
\(722\) | 30.0802 | + | 21.0624i | 1.11947 | + | 0.783862i | ||||
\(723\) | −6.63718 | + | 11.0911i | −0.246840 | + | 0.412481i | ||||
\(724\) | 13.2368 | + | 36.3677i | 0.491941 | + | 1.35160i | ||||
\(725\) | −13.8700 | + | 1.35594i | −0.515119 | + | 0.0503582i | ||||
\(726\) | −5.96567 | + | 12.2872i | −0.221407 | + | 0.456022i | ||||
\(727\) | −46.8579 | − | 4.09954i | −1.73786 | − | 0.152043i | −0.826308 | − | 0.563218i | \(-0.809563\pi\) |
−0.911557 | + | 0.411175i | \(0.865119\pi\) | |||||||
\(728\) | 26.9550 | + | 26.9550i | 0.999018 | + | 0.999018i | ||||
\(729\) | −11.2463 | − | 24.5463i | −0.416529 | − | 0.909122i | ||||
\(730\) | −18.2726 | + | 24.0661i | −0.676301 | + | 0.890727i | ||||
\(731\) | −32.1162 | − | 38.2746i | −1.18786 | − | 1.41564i | ||||
\(732\) | −0.365784 | − | 1.05617i | −0.0135198 | − | 0.0390371i | ||||
\(733\) | −26.9842 | − | 38.5374i | −0.996682 | − | 1.42341i | −0.903910 | − | 0.427723i | \(-0.859316\pi\) |
−0.0927724 | − | 0.995687i | \(-0.529573\pi\) | |||||||
\(734\) | −8.25389 | + | 3.00417i | −0.304657 | + | 0.110886i | ||||
\(735\) | 7.83733 | + | 19.5015i | 0.289084 | + | 0.719324i | ||||
\(736\) | −0.577989 | − | 3.27794i | −0.0213050 | − | 0.120826i | ||||
\(737\) | 21.9125 | + | 5.87144i | 0.807157 | + | 0.216277i | ||||
\(738\) | 2.36857 | + | 0.282217i | 0.0871884 | + | 0.0103885i | ||||
\(739\) | 40.7581 | + | 23.5317i | 1.49931 | + | 0.865628i | 1.00000 | 0.000795196i | \(-0.000253119\pi\) | |
0.499311 | + | 0.866423i | \(0.333586\pi\) | |||||||
\(740\) | −12.1894 | − | 2.63729i | −0.448093 | − | 0.0969486i | ||||
\(741\) | 12.2419 | − | 16.9131i | 0.449716 | − | 0.621317i | ||||
\(742\) | −3.03559 | − | 34.6969i | −0.111440 | − | 1.27376i | ||||
\(743\) | 0.522540 | + | 5.97266i | 0.0191701 | + | 0.219115i | 0.999737 | + | 0.0229307i | \(0.00729969\pi\) |
−0.980567 | + | 0.196185i | \(0.937145\pi\) | |||||||
\(744\) | −43.5478 | − | 4.49823i | −1.59654 | − | 0.164913i | ||||
\(745\) | 6.29231 | + | 9.76685i | 0.230533 | + | 0.357830i | ||||
\(746\) | 26.2588 | + | 15.1605i | 0.961402 | + | 0.555066i | ||||
\(747\) | 4.35971 | − | 2.85348i | 0.159514 | − | 0.104403i | ||||
\(748\) | 61.1248 | + | 16.3784i | 2.23495 | + | 0.598852i | ||||
\(749\) | 2.15964 | + | 12.2479i | 0.0789114 | + | 0.447529i | ||||
\(750\) | 29.0611 | − | 37.8429i | 1.06116 | − | 1.38183i | ||||
\(751\) | 30.7152 | − | 11.1794i | 1.12081 | − | 0.407943i | 0.285865 | − | 0.958270i | \(-0.407719\pi\) |
0.834949 | + | 0.550327i | \(0.185497\pi\) | |||||||
\(752\) | −0.946921 | − | 1.35234i | −0.0345306 | − | 0.0493149i | ||||
\(753\) | −5.72740 | + | 6.61250i | −0.208718 | + | 0.240973i | ||||
\(754\) | −26.2906 | − | 31.3319i | −0.957446 | − | 1.14104i | ||||
\(755\) | −7.44702 | − | 5.65429i | −0.271025 | − | 0.205781i | ||||
\(756\) | 5.65598 | + | 25.9236i | 0.205706 | + | 0.942834i | ||||
\(757\) | −6.11549 | − | 6.11549i | −0.222271 | − | 0.222271i | 0.587183 | − | 0.809454i | \(-0.300237\pi\) |
−0.809454 | + | 0.587183i | \(0.800237\pi\) | |||||||
\(758\) | 39.2721 | + | 3.43586i | 1.42643 | + | 0.124796i | ||||
\(759\) | 12.6711 | + | 18.7132i | 0.459930 | + | 0.679247i | ||||
\(760\) | 0.889875 | − | 23.0775i | 0.0322792 | − | 0.837110i | ||||
\(761\) | −8.81390 | − | 24.2160i | −0.319503 | − | 0.877829i | −0.990641 | − | 0.136495i | \(-0.956416\pi\) |
0.671137 | − | 0.741333i | \(-0.265806\pi\) | |||||||
\(762\) | 6.34484 | + | 0.0993837i | 0.229849 | + | 0.00360029i | ||||
\(763\) | 4.09070 | + | 2.86434i | 0.148093 | + | 0.103696i | ||||
\(764\) | −27.6019 | − | 47.8078i | −0.998601 | − | 1.72963i | ||||
\(765\) | 21.9448 | + | 30.2078i | 0.793416 | + | 1.09216i | ||||
\(766\) | 30.7442 | − | 53.2505i | 1.11083 | − | 1.92402i | ||||
\(767\) | 17.0735 | − | 7.96152i | 0.616490 | − | 0.287474i | ||||
\(768\) | 52.4974 | + | 20.0441i | 1.89434 | + | 0.723278i | ||||
\(769\) | −17.3950 | + | 20.7306i | −0.627281 | + | 0.747565i | −0.982304 | − | 0.187293i | \(-0.940029\pi\) |
0.355023 | + | 0.934858i | \(0.384473\pi\) | |||||||
\(770\) | −18.8210 | + | 4.27317i | −0.678261 | + | 0.153994i | ||||
\(771\) | −42.1997 | + | 18.8792i | −1.51979 | + | 0.679916i | ||||
\(772\) | 30.0822 | + | 64.5115i | 1.08268 | + | 2.32182i | ||||
\(773\) | −41.6374 | + | 11.1567i | −1.49759 | + | 0.401279i | −0.912293 | − | 0.409539i | \(-0.865690\pi\) |
−0.585299 | + | 0.810817i | \(0.699023\pi\) | |||||||
\(774\) | −56.3974 | − | 34.9608i | −2.02716 | − | 1.25664i | ||||
\(775\) | 17.3333 | − | 17.6900i | 0.622630 | − | 0.635443i | ||||
\(776\) | 17.8243 | − | 3.14290i | 0.639854 | − | 0.112823i | ||||
\(777\) | −0.0466165 | + | 2.97608i | −0.00167236 | + | 0.106766i | ||||
\(778\) | −19.4851 | + | 41.7860i | −0.698576 | + | 1.49810i | ||||
\(779\) | −0.113417 | + | 0.643218i | −0.00406357 | + | 0.0230457i | ||||
\(780\) | 93.7649 | + | 5.08738i | 3.35732 | + | 0.182157i | ||||
\(781\) | 17.3194 | − | 14.5327i | 0.619736 | − | 0.520020i | ||||
\(782\) | −45.3066 | + | 45.3066i | −1.62016 | + | 1.62016i | ||||
\(783\) | −1.84222 | − | 14.3652i | −0.0658356 | − | 0.513370i | ||||
\(784\) | 24.0467i | 0.858809i | ||||||||
\(785\) | −22.7443 | − | 20.6292i | −0.811777 | − | 0.736288i | ||||
\(786\) | −1.50701 | − | 21.0104i | −0.0537532 | − | 0.749417i | ||||
\(787\) | 20.4732 | − | 14.3355i | 0.729792 | − | 0.511006i | −0.148629 | − | 0.988893i | \(-0.547486\pi\) |
0.878421 | + | 0.477887i | \(0.158597\pi\) | |||||||
\(788\) | 6.87982 | + | 3.20811i | 0.245084 | + | 0.114284i | ||||
\(789\) | 12.4303 | − | 43.6444i | 0.442530 | − | 1.55378i | ||||
\(790\) | 84.1832 | − | 27.0149i | 2.99510 | − | 0.961147i | ||||
\(791\) | 13.8356 | − | 7.98800i | 0.491938 | − | 0.284021i | ||||
\(792\) | 42.6864 | − | 2.39044i | 1.51680 | − | 0.0849406i | ||||
\(793\) | 0.244339 | + | 0.911885i | 0.00867673 | + | 0.0323820i | ||||
\(794\) | −21.5784 | − | 7.85389i | −0.765788 | − | 0.278724i | ||||
\(795\) | −31.8663 | − | 29.8259i | −1.13018 | − | 1.05781i | ||||
\(796\) | −24.1766 | − | 20.2866i | −0.856916 | − | 0.719038i | ||||
\(797\) | 29.9842 | − | 2.62328i | 1.06210 | − | 0.0929213i | 0.457308 | − | 0.889308i | \(-0.348814\pi\) |
0.604787 | + | 0.796387i | \(0.293258\pi\) | |||||||
\(798\) | −10.6981 | + | 1.71406i | −0.378709 | + | 0.0606770i | ||||
\(799\) | −0.709237 | + | 1.94861i | −0.0250910 | + | 0.0689370i | ||||
\(800\) | 3.06661 | − | 1.81240i | 0.108421 | − | 0.0640780i | ||||
\(801\) | −35.9277 | − | 14.3663i | −1.26944 | − | 0.507607i | ||||
\(802\) | −14.1623 | + | 52.8546i | −0.500090 | + | 1.86636i | ||||
\(803\) | 8.78535 | − | 12.5468i | 0.310028 | − | 0.442766i | ||||
\(804\) | 13.9561 | + | 55.5507i | 0.492193 | + | 1.95912i | ||||
\(805\) | 3.87673 | − | 12.5173i | 0.136637 | − | 0.441178i | ||||
\(806\) | 71.5824 | + | 12.6219i | 2.52138 | + | 0.444588i | ||||
\(807\) | −3.76847 | + | 1.30514i | −0.132656 | + | 0.0459431i | ||||
\(808\) | 4.14952 | − | 47.4292i | 0.145980 | − | 1.66855i | ||||
\(809\) | 28.4904 | 1.00167 | 0.500835 | − | 0.865543i | \(-0.333026\pi\) | ||||
0.500835 | + | 0.865543i | \(0.333026\pi\) | |||||||
\(810\) | 40.2185 | + | 29.0041i | 1.41313 | + | 1.01910i | ||||
\(811\) | 31.4508 | 1.10439 | 0.552193 | − | 0.833716i | \(-0.313791\pi\) | ||||
0.552193 | + | 0.833716i | \(0.313791\pi\) | |||||||
\(812\) | −1.24045 | + | 14.1784i | −0.0435314 | + | 0.497566i | ||||
\(813\) | −10.0176 | + | 3.46940i | −0.351331 | + | 0.121677i | ||||
\(814\) | 9.28418 | + | 1.63705i | 0.325410 | + | 0.0573786i | ||||
\(815\) | −41.6053 | + | 21.9284i | −1.45737 | + | 0.768117i | ||||
\(816\) | 10.4088 | + | 41.4313i | 0.364382 | + | 1.45039i | ||||
\(817\) | 10.4213 | − | 14.8831i | 0.364594 | − | 0.520694i | ||||
\(818\) | 1.80708 | − | 6.74411i | 0.0631830 | − | 0.235802i | ||||
\(819\) | −3.19846 | − | 22.1815i | −0.111763 | − | 0.775084i | ||||
\(820\) | −2.70818 | + | 1.13795i | −0.0945737 | + | 0.0397391i | ||||
\(821\) | 2.19118 | − | 6.02021i | 0.0764726 | − | 0.210107i | −0.895566 | − | 0.444929i | \(-0.853229\pi\) |
0.972038 | + | 0.234823i | \(0.0754510\pi\) | |||||||
\(822\) | −39.0735 | + | 6.26039i | −1.36285 | + | 0.218356i | ||||
\(823\) | 5.79379 | − | 0.506891i | 0.201959 | − | 0.0176691i | 0.0142726 | − | 0.999898i | \(-0.495457\pi\) |
0.187686 | + | 0.982229i | \(0.439901\pi\) | |||||||
\(824\) | −2.69711 | − | 2.26314i | −0.0939583 | − | 0.0788404i | ||||
\(825\) | −13.9808 | + | 19.7357i | −0.486749 | + | 0.687108i | ||||
\(826\) | −9.18636 | − | 3.34356i | −0.319634 | − | 0.116337i | ||||
\(827\) | −4.03665 | − | 15.0650i | −0.140368 | − | 0.523861i | −0.999918 | − | 0.0128090i | \(-0.995923\pi\) |
0.859550 | − | 0.511052i | \(-0.170744\pi\) | |||||||
\(828\) | −25.7225 | + | 50.9333i | −0.893917 | + | 1.77006i | ||||
\(829\) | 1.41349 | − | 0.816079i | 0.0490925 | − | 0.0283436i | −0.475253 | − | 0.879849i | \(-0.657643\pi\) |
0.524345 | + | 0.851506i | \(0.324310\pi\) | |||||||
\(830\) | −4.37528 | + | 8.51037i | −0.151868 | + | 0.295399i | ||||
\(831\) | 5.02343 | − | 17.6379i | 0.174261 | − | 0.611853i | ||||
\(832\) | −38.3611 | − | 17.8881i | −1.32993 | − | 0.620157i | ||||
\(833\) | 24.7421 | − | 17.3246i | 0.857263 | − | 0.600262i | ||||
\(834\) | −0.202724 | − | 2.82634i | −0.00701975 | − | 0.0978681i | ||||
\(835\) | −5.47896 | + | 6.04071i | −0.189607 | + | 0.209047i | ||||
\(836\) | 23.0116i | 0.795873i | ||||||||
\(837\) | 18.9177 | + | 17.4520i | 0.653891 | + | 0.603228i | ||||
\(838\) | −7.02092 | + | 7.02092i | −0.242534 | + | 0.242534i | ||||
\(839\) | 0.322591 | − | 0.270686i | 0.0111371 | − | 0.00934513i | −0.637202 | − | 0.770697i | \(-0.719908\pi\) |
0.648339 | + | 0.761352i | \(0.275464\pi\) | |||||||
\(840\) | −16.5535 | − | 18.4528i | −0.571151 | − | 0.636684i | ||||
\(841\) | −3.68679 | + | 20.9088i | −0.127131 | + | 0.720994i | ||||
\(842\) | −4.56932 | + | 9.79894i | −0.157469 | + | 0.337694i | ||||
\(843\) | 0.164945 | − | 10.5304i | 0.00568101 | − | 0.362686i | ||||
\(844\) | 85.7886 | − | 15.1268i | 2.95296 | − | 0.520687i | ||||
\(845\) | −49.8469 | − | 6.30442i | −1.71479 | − | 0.216879i | ||||
\(846\) | −0.0862525 | + | 2.75259i | −0.00296542 | + | 0.0946359i | ||||
\(847\) | −3.87772 | + | 1.03903i | −0.133240 | + | 0.0357015i | ||||
\(848\) | −21.1045 | − | 45.2588i | −0.724732 | − | 1.55419i | ||||
\(849\) | −5.66364 | + | 2.53378i | −0.194376 | + | 0.0869591i | ||||
\(850\) | −62.4381 | − | 28.3449i | −2.14161 | − | 0.972221i | ||||
\(851\) | −4.11438 | + | 4.90332i | −0.141039 | + | 0.168084i | ||||
\(852\) | 53.3286 | + | 20.3614i | 1.82701 | + | 0.697571i | ||||
\(853\) | −37.7230 | + | 17.5905i | −1.29161 | + | 0.602288i | −0.942316 | − | 0.334725i | \(-0.891356\pi\) |
−0.349294 | + | 0.937013i | \(0.613579\pi\) | |||||||
\(854\) | 0.244949 | − | 0.424265i | 0.00838200 | − | 0.0145180i | ||||
\(855\) | −8.54510 | + | 10.5512i | −0.292236 | + | 0.360843i | ||||
\(856\) | 25.2981 | + | 43.8176i | 0.864671 | + | 1.49765i | ||||
\(857\) | −8.75307 | − | 6.12897i | −0.298999 | − | 0.209362i | 0.414444 | − | 0.910075i | \(-0.363976\pi\) |
−0.713443 | + | 0.700714i | \(0.752865\pi\) | |||||||
\(858\) | −70.9741 | − | 1.11172i | −2.42302 | − | 0.0379534i | ||||
\(859\) | 6.91450 | + | 18.9974i | 0.235920 | + | 0.648184i | 0.999995 | + | 0.00305761i | \(0.000973268\pi\) |
−0.764075 | + | 0.645127i | \(0.776805\pi\) | |||||||
\(860\) | 81.6553 | + | 3.14865i | 2.78442 | + | 0.107368i | ||||
\(861\) | 0.393077 | + | 0.580515i | 0.0133960 | + | 0.0197839i | ||||
\(862\) | 35.1267 | + | 3.07319i | 1.19642 | + | 0.104673i | ||||
\(863\) | 41.4293 | + | 41.4293i | 1.41027 | + | 1.41027i | 0.757901 | + | 0.652370i | \(0.226225\pi\) |
0.652370 | + | 0.757901i | \(0.273775\pi\) | |||||||
\(864\) | 1.97854 | + | 3.12880i | 0.0673114 | + | 0.106444i | ||||
\(865\) | −2.48373 | − | 18.1511i | −0.0844494 | − | 0.617156i | ||||
\(866\) | 23.6762 | + | 28.2161i | 0.804548 | + | 0.958824i | ||||
\(867\) | 15.8527 | − | 18.3025i | 0.538385 | − | 0.621586i | ||||
\(868\) | −14.5077 | − | 20.7191i | −0.492423 | − | 0.703253i | ||||
\(869\) | −42.1125 | + | 15.3277i | −1.42857 | + | 0.519957i | ||||
\(870\) | 15.9679 | + | 21.2716i | 0.541362 | + | 0.721174i | ||||
\(871\) | −8.40070 | − | 47.6428i | −0.284647 | − | 1.61431i | ||||
\(872\) | 19.6239 | + | 5.25819i | 0.664547 | + | 0.178065i | ||||
\(873\) | −9.49806 | − | 4.79673i | −0.321461 | − | 0.162345i | ||||
\(874\) | −20.1781 | − | 11.6498i | −0.682534 | − | 0.394061i | ||||
\(875\) | 13.9994 | − | 0.825653i | 0.473266 | − | 0.0279122i | ||||
\(876\) | 38.4676 | + | 3.97347i | 1.29970 | + | 0.134251i | ||||
\(877\) | 3.25702 | + | 37.2279i | 0.109982 | + | 1.25710i | 0.827863 | + | 0.560931i | \(0.189557\pi\) |
−0.717881 | + | 0.696166i | \(0.754888\pi\) | |||||||
\(878\) | 5.22105 | + | 59.6769i | 0.176202 | + | 2.01400i | ||||
\(879\) | −27.0862 | + | 37.4217i | −0.913594 | + | 1.26220i | ||||
\(880\) | −23.2622 | + | 14.9867i | −0.784167 | + | 0.505202i | ||||
\(881\) | 22.2691 | + | 12.8571i | 0.750267 | + | 0.433167i | 0.825790 | − | 0.563977i | \(-0.190729\pi\) |
−0.0755236 | + | 0.997144i | \(0.524063\pi\) | |||||||
\(882\) | 24.0258 | − | 32.1220i | 0.808990 | − | 1.08160i | ||||
\(883\) | 46.4363 | + | 12.4426i | 1.56271 | + | 0.418726i | 0.933519 | − | 0.358527i | \(-0.116721\pi\) |
0.629188 | + | 0.777253i | \(0.283388\pi\) | |||||||
\(884\) | −23.4337 | − | 132.899i | −0.788162 | − | 4.46989i | ||||
\(885\) | −11.3672 | + | 4.56827i | −0.382103 | + | 0.153561i | ||||
\(886\) | 15.6600 | − | 5.69978i | 0.526109 | − | 0.191488i | ||||
\(887\) | −7.23961 | − | 10.3392i | −0.243082 | − | 0.347158i | 0.679009 | − | 0.734130i | \(-0.262410\pi\) |
−0.922091 | + | 0.386972i | \(0.873521\pi\) | |||||||
\(888\) | 3.96278 | + | 11.4421i | 0.132982 | + | 0.383973i | ||||
\(889\) | 1.19883 | + | 1.42871i | 0.0402076 | + | 0.0479175i | ||||
\(890\) | 70.4052 | − | 9.63399i | 2.35999 | − | 0.322932i | ||||
\(891\) | −20.9378 | − | 13.9055i | −0.701443 | − | 0.465853i | ||||
\(892\) | −66.2999 | − | 66.2999i | −2.21989 | − | 2.21989i | ||||
\(893\) | −0.751202 | − | 0.0657217i | −0.0251380 | − | 0.00219929i | ||||
\(894\) | 9.68483 | − | 19.9474i | 0.323909 | − | 0.667142i | ||||
\(895\) | 10.0958 | − | 9.34610i | 0.337465 | − | 0.312406i | ||||
\(896\) | 8.12364 | + | 22.3195i | 0.271392 | + | 0.745643i | ||||
\(897\) | 24.7480 | − | 41.3551i | 0.826311 | − | 1.38081i | ||||
\(898\) | 7.24279 | + | 5.07145i | 0.241695 | + | 0.169237i | ||||
\(899\) | 6.90298 | + | 11.9563i | 0.230227 | + | 0.398765i | ||||
\(900\) | −60.7069 | − | 6.60696i | −2.02356 | − | 0.220232i | ||||
\(901\) | −31.3628 | + | 54.3220i | −1.04485 | + | 1.80973i | ||||
\(902\) | 2.01249 | − | 0.938442i | 0.0670087 | − | 0.0312467i | ||||
\(903\) | −3.08533 | − | 19.2568i | −0.102673 | − | 0.640825i | ||||
\(904\) | 41.7776 | − | 49.7886i | 1.38950 | − | 1.65594i | ||||
\(905\) | 4.70658 | + | 20.7299i | 0.156452 | + | 0.689085i | ||||
\(906\) | −1.83360 | + | 17.7513i | −0.0609173 | + | 0.589747i | ||||
\(907\) | 16.2815 | + | 34.9158i | 0.540618 | + | 1.15936i | 0.966991 | + | 0.254812i | \(0.0820135\pi\) |
−0.426373 | + | 0.904548i | \(0.640209\pi\) | |||||||
\(908\) | −93.4542 | + | 25.0410i | −3.10139 | + | 0.831014i | ||||
\(909\) | −18.6545 | + | 20.8678i | −0.618731 | + | 0.692140i | ||||
\(910\) | 25.2213 | + | 32.5248i | 0.836079 | + | 1.07819i | ||||
\(911\) | 34.0239 | − | 5.99934i | 1.12726 | − | 0.198767i | 0.421236 | − | 0.906951i | \(-0.361597\pi\) |
0.706028 | + | 0.708184i | \(0.250485\pi\) | |||||||
\(912\) | −13.5731 | + | 7.55550i | −0.449450 | + | 0.250188i | ||||
\(913\) | 2.04993 | − | 4.39610i | 0.0678429 | − | 0.145490i | ||||
\(914\) | 12.9763 | − | 73.5924i | 0.429219 | − | 2.43422i | ||||
\(915\) | −0.126534 | − | 0.600740i | −0.00418308 | − | 0.0198598i | ||||
\(916\) | −47.8399 | + | 40.1424i | −1.58067 | + | 1.32634i | ||||
\(917\) | 4.37775 | − | 4.37775i | 0.144566 | − | 0.144566i | ||||
\(918\) | 27.4910 | − | 65.7446i | 0.907338 | − | 2.16990i | ||||
\(919\) | − | 29.7574i | − | 0.981607i | −0.871270 | − | 0.490804i | \(-0.836703\pi\) | ||
0.871270 | − | 0.490804i | \(-0.163297\pi\) | |||||||
\(920\) | −2.59652 | − | 53.2467i | −0.0856047 | − | 1.75549i | ||||
\(921\) | 18.7534 | − | 12.6982i | 0.617945 | − | 0.418421i | ||||
\(922\) | 80.4805 | − | 56.3530i | 2.65048 | − | 1.85589i | ||||
\(923\) | −43.6970 | − | 20.3762i | −1.43830 | − | 0.670692i | ||||
\(924\) | 17.1902 | + | 17.7373i | 0.565515 | + | 0.583513i | ||||
\(925\) | −6.46055 | − | 2.27721i | −0.212421 | − | 0.0748741i | ||||
\(926\) | −36.6321 | + | 21.1496i | −1.20381 | + | 0.695018i | ||||
\(927\) | 0.472847 | + | 2.01517i | 0.0155303 | + | 0.0661869i | ||||
\(928\) | 0.513938 | + | 1.91804i | 0.0168708 | + | 0.0629628i | ||||
\(929\) | −38.4305 | − | 13.9876i | −1.26086 | − | 0.458917i | −0.376806 | − | 0.926292i | \(-0.622978\pi\) |
−0.884059 | + | 0.467375i | \(0.845200\pi\) | |||||||
\(930\) | −46.0373 | − | 10.7180i | −1.50962 | − | 0.351456i | ||||
\(931\) | 8.41393 | + | 7.06013i | 0.275756 | + | 0.231386i | ||||
\(932\) | −51.6058 | + | 4.51492i | −1.69040 | + | 0.147891i | ||||
\(933\) | 6.74479 | − | 17.6653i | 0.220815 | − | 0.578335i | ||||
\(934\) | −15.4708 | + | 42.5056i | −0.506219 | + | 1.39082i | ||||
\(935\) | 32.1796 | + | 13.1376i | 1.05238 | + | 0.429647i | ||||
\(936\) | −43.0913 | − | 80.3473i | −1.40848 | − | 2.62623i | ||||
\(937\) | 6.43422 | − | 24.0128i | 0.210197 | − | 0.784465i | −0.777606 | − | 0.628752i | \(-0.783566\pi\) |
0.987802 | − | 0.155713i | \(-0.0497674\pi\) | |||||||
\(938\) | −14.3995 | + | 20.5646i | −0.470160 | + | 0.671458i | ||||
\(939\) | 5.97496 | − | 5.79066i | 0.194985 | − | 0.188971i | ||||
\(940\) | −1.58131 | − | 3.00027i | −0.0515768 | − | 0.0978582i | ||||
\(941\) | 5.63001 | + | 0.992723i | 0.183533 | + | 0.0323619i | 0.264659 | − | 0.964342i | \(-0.414741\pi\) |
−0.0811261 | + | 0.996704i | \(0.525852\pi\) | |||||||
\(942\) | −11.0792 | + | 57.5478i | −0.360981 | + | 1.87501i | ||||
\(943\) | −0.131401 | + | 1.50192i | −0.00427901 | + | 0.0489093i | ||||
\(944\) | −14.0165 | −0.456197 | ||||||||
\(945\) | 1.29543 | + | 14.5162i | 0.0421403 | + | 0.472212i | ||||
\(946\) | −61.7705 | −2.00833 | ||||||||
\(947\) | 1.66603 | − | 19.0429i | 0.0541389 | − | 0.618810i | −0.919858 | − | 0.392250i | \(-0.871697\pi\) |
0.973997 | − | 0.226560i | \(-0.0727478\pi\) | |||||||
\(948\) | −85.5288 | − | 74.0806i | −2.77785 | − | 2.40603i | ||||
\(949\) | −32.1674 | − | 5.67199i | −1.04420 | − | 0.184120i | ||||
\(950\) | 4.07964 | − | 24.5991i | 0.132361 | − | 0.798102i | ||||
\(951\) | 52.6502 | + | 14.9952i | 1.70730 | + | 0.486253i | ||||
\(952\) | −20.4340 | + | 29.1828i | −0.662271 | + | 0.945821i | ||||
\(953\) | −8.15394 | + | 30.4309i | −0.264132 | + | 0.985755i | 0.698647 | + | 0.715466i | \(0.253786\pi\) |
−0.962779 | + | 0.270288i | \(0.912881\pi\) | |||||||
\(954\) | −17.0276 | + | 81.5439i | −0.551290 | + | 2.64008i | ||||
\(955\) | −11.7460 | − | 27.9539i | −0.380092 | − | 0.904567i | ||||
\(956\) | −7.57181 | + | 20.8034i | −0.244890 | + | 0.672830i | ||||
\(957\) | −8.50345 | − | 10.4625i | −0.274878 | − | 0.338205i | ||||
\(958\) | −57.6299 | + | 5.04196i | −1.86194 | + | 0.162898i | ||||
\(959\) | −8.90959 | − | 7.47603i | −0.287706 | − | 0.241414i | ||||
\(960\) | 24.2795 | + | 12.9671i | 0.783618 | + | 0.418512i | ||||
\(961\) | 6.07496 | + | 2.21110i | 0.195966 | + | 0.0713260i | ||||
\(962\) | −5.20338 | − | 19.4193i | −0.167764 | − | 0.626103i | ||||
\(963\) | 3.51931 | − | 29.5367i | 0.113408 | − | 0.951807i | ||||
\(964\) | −26.3097 | + | 15.1899i | −0.847377 | + | 0.489233i | ||||
\(965\) | 11.9464 | + | 37.2270i | 0.384568 | + | 1.19838i | ||||
\(966\) | −24.2559 | + | 6.09383i | −0.780420 | + | 0.196066i | ||||
\(967\) | −19.4240 | − | 9.05757i | −0.624635 | − | 0.291272i | 0.0844147 | − | 0.996431i | \(-0.473098\pi\) |
−0.709049 | + | 0.705159i | \(0.750876\pi\) | |||||||
\(968\) | −13.3784 | + | 9.36766i | −0.429998 | + | 0.301088i | ||||
\(969\) | 17.5529 | + | 8.52223i | 0.563880 | + | 0.273774i | ||||
\(970\) | 19.5184 | − | 0.951793i | 0.626698 | − | 0.0305602i | ||||
\(971\) | − | 28.3706i | − | 0.910457i | −0.890375 | − | 0.455228i | \(-0.849558\pi\) | ||
0.890375 | − | 0.455228i | \(-0.150442\pi\) | |||||||
\(972\) | 4.96469 | − | 63.2665i | 0.159242 | − | 2.02927i | ||||
\(973\) | 0.588898 | − | 0.588898i | 0.0188792 | − | 0.0188792i | ||||
\(974\) | 19.2594 | − | 16.1606i | 0.617111 | − | 0.517818i | ||||
\(975\) | 50.7441 | + | 9.23446i | 1.62511 | + | 0.295739i | ||||
\(976\) | 0.121971 | − | 0.691733i | 0.00390420 | − | 0.0221418i | ||||
\(977\) | −12.4557 | + | 26.7114i | −0.398494 | + | 0.854573i | 0.600015 | + | 0.799988i | \(0.295161\pi\) |
−0.998509 | + | 0.0545842i | \(0.982617\pi\) | |||||||
\(978\) | 77.0224 | + | 46.0922i | 2.46291 | + | 1.47387i | ||||
\(979\) | −35.4732 | + | 6.25489i | −1.13373 | + | 0.199907i | ||||
\(980\) | −6.19846 | + | 49.0091i | −0.198002 | + | 1.56554i | ||||
\(981\) | −7.38705 | − | 9.38551i | −0.235850 | − | 0.299656i | ||||
\(982\) | −78.9842 | + | 21.1637i | −2.52049 | + | 0.675362i | ||||
\(983\) | 4.58542 | + | 9.83346i | 0.146252 | + | 0.313639i | 0.965763 | − | 0.259424i | \(-0.0835328\pi\) |
−0.819511 | + | 0.573063i | \(0.805755\pi\) | |||||||
\(984\) | 2.31044 | + | 1.67232i | 0.0736541 | + | 0.0533115i | ||||
\(985\) | 3.52787 | + | 2.22233i | 0.112407 | + | 0.0708093i | ||||
\(986\) | 24.5702 | − | 29.2816i | 0.782474 | − | 0.932517i | ||||
\(987\) | −0.628120 | + | 0.510507i | −0.0199933 | + | 0.0162496i | ||||
\(988\) | 44.4754 | − | 20.7392i | 1.41495 | − | 0.659802i | ||||
\(989\) | 20.9699 | − | 36.3209i | 0.666803 | − | 1.15494i | ||||
\(990\) | 46.0478 | + | 3.22242i | 1.46349 | + | 0.102415i | ||||
\(991\) | −0.0170972 | − | 0.0296132i | −0.000543110 | − | 0.000940694i | 0.865754 | − | 0.500470i | \(-0.166840\pi\) |
−0.866297 | + | 0.499530i | \(0.833506\pi\) | |||||||
\(992\) | −2.89069 | − | 2.02408i | −0.0917794 | − | 0.0642646i | ||||
\(993\) | 23.6097 | + | 42.4138i | 0.749233 | + | 1.34596i | ||||
\(994\) | 8.55731 | + | 23.5110i | 0.271421 | + | 0.745724i | ||||
\(995\) | −11.7762 | − | 12.7209i | −0.373332 | − | 0.403278i | ||||
\(996\) | 12.2154 | − | 0.876173i | 0.387061 | − | 0.0277626i | ||||
\(997\) | −31.3705 | − | 2.74457i | −0.993515 | − | 0.0869213i | −0.421211 | − | 0.906963i | \(-0.638395\pi\) |
−0.572304 | + | 0.820041i | \(0.693950\pi\) | |||||||
\(998\) | −42.5853 | − | 42.5853i | −1.34801 | − | 1.34801i | ||||
\(999\) | 2.16344 | − | 6.78217i | 0.0684484 | − | 0.214578i |
(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 | 135.2.q.a.32.15 | ✓ | 192 | |
3.2 | odd | 2 | 405.2.r.a.287.2 | 192 | |||
5.2 | odd | 4 | 675.2.ba.b.518.15 | 192 | |||
5.3 | odd | 4 | inner | 135.2.q.a.113.2 | yes | 192 | |
5.4 | even | 2 | 675.2.ba.b.32.2 | 192 | |||
15.8 | even | 4 | 405.2.r.a.368.15 | 192 | |||
27.11 | odd | 18 | inner | 135.2.q.a.92.2 | yes | 192 | |
27.16 | even | 9 | 405.2.r.a.197.15 | 192 | |||
135.38 | even | 36 | inner | 135.2.q.a.38.15 | yes | 192 | |
135.43 | odd | 36 | 405.2.r.a.278.2 | 192 | |||
135.92 | even | 36 | 675.2.ba.b.443.2 | 192 | |||
135.119 | odd | 18 | 675.2.ba.b.632.15 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.32.15 | ✓ | 192 | 1.1 | even | 1 | trivial | |
135.2.q.a.38.15 | yes | 192 | 135.38 | even | 36 | inner | |
135.2.q.a.92.2 | yes | 192 | 27.11 | odd | 18 | inner | |
135.2.q.a.113.2 | yes | 192 | 5.3 | odd | 4 | inner | |
405.2.r.a.197.15 | 192 | 27.16 | even | 9 | |||
405.2.r.a.278.2 | 192 | 135.43 | odd | 36 | |||
405.2.r.a.287.2 | 192 | 3.2 | odd | 2 | |||
405.2.r.a.368.15 | 192 | 15.8 | even | 4 | |||
675.2.ba.b.32.2 | 192 | 5.4 | even | 2 | |||
675.2.ba.b.443.2 | 192 | 135.92 | even | 36 | |||
675.2.ba.b.518.15 | 192 | 5.2 | odd | 4 | |||
675.2.ba.b.632.15 | 192 | 135.119 | odd | 18 |