Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.10 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.a.625.10 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.971314 | − | 0.662231i | −0.686823 | − | 0.468268i | 0.168947 | − | 0.985625i | \(-0.445963\pi\) |
−0.855769 | + | 0.517357i | \(0.826916\pi\) | |||||||
\(3\) | 1.44449 | + | 1.34029i | 0.833978 | + | 0.773818i | 0.976396 | − | 0.215988i | \(-0.0692973\pi\) |
−0.142418 | + | 0.989807i | \(0.545488\pi\) | |||||||
\(4\) | −0.225781 | − | 0.575279i | −0.112890 | − | 0.287640i | ||||
\(5\) | −0.154277 | + | 0.0475881i | −0.0689948 | + | 0.0212821i | −0.329060 | − | 0.944309i | \(-0.606732\pi\) |
0.260066 | + | 0.965591i | \(0.416256\pi\) | |||||||
\(6\) | −0.515472 | − | 2.25843i | −0.210441 | − | 0.922001i | ||||
\(7\) | 2.49647 | + | 0.876147i | 0.943577 | + | 0.331152i | ||||
\(8\) | −0.684849 | + | 3.00052i | −0.242131 | + | 1.06084i | ||||
\(9\) | 0.0659823 | + | 0.880472i | 0.0219941 | + | 0.293491i | ||||
\(10\) | 0.181366 | + | 0.0559439i | 0.0573529 | + | 0.0176910i | ||||
\(11\) | −0.385571 | + | 5.14508i | −0.116254 | + | 1.55130i | 0.568596 | + | 0.822617i | \(0.307487\pi\) |
−0.684850 | + | 0.728684i | \(0.740132\pi\) | |||||||
\(12\) | 0.444905 | − | 1.13360i | 0.128433 | − | 0.327242i | ||||
\(13\) | 0.900969 | − | 0.433884i | 0.249884 | − | 0.120338i | ||||
\(14\) | −1.84465 | − | 2.50425i | −0.493002 | − | 0.669290i | ||||
\(15\) | −0.286634 | − | 0.138036i | −0.0740085 | − | 0.0356406i | ||||
\(16\) | 1.74619 | − | 1.62022i | 0.436547 | − | 0.405056i | ||||
\(17\) | −4.86347 | + | 0.733050i | −1.17956 | + | 0.177791i | −0.709411 | − | 0.704795i | \(-0.751039\pi\) |
−0.470152 | + | 0.882585i | \(0.655801\pi\) | |||||||
\(18\) | 0.518986 | − | 0.898910i | 0.122326 | − | 0.211875i | ||||
\(19\) | 2.26408 | + | 3.92150i | 0.519415 | + | 0.899653i | 0.999745 | + | 0.0225653i | \(0.00718337\pi\) |
−0.480331 | + | 0.877088i | \(0.659483\pi\) | |||||||
\(20\) | 0.0622092 | + | 0.0780079i | 0.0139104 | + | 0.0174431i | ||||
\(21\) | 2.43184 | + | 4.61159i | 0.530671 | + | 1.00633i | ||||
\(22\) | 3.78174 | − | 4.74216i | 0.806270 | − | 1.01103i | ||||
\(23\) | 1.27803 | + | 0.192632i | 0.266488 | + | 0.0401666i | 0.280927 | − | 0.959729i | \(-0.409358\pi\) |
−0.0144388 | + | 0.999896i | \(0.504596\pi\) | |||||||
\(24\) | −5.01083 | + | 3.41633i | −1.02283 | + | 0.697355i | ||||
\(25\) | −4.10966 | + | 2.80192i | −0.821931 | + | 0.560383i | ||||
\(26\) | −1.16245 | − | 0.175212i | −0.227976 | − | 0.0343619i | ||||
\(27\) | 2.60101 | − | 3.26157i | 0.500565 | − | 0.627689i | ||||
\(28\) | −0.0596254 | − | 1.63399i | −0.0112681 | − | 0.308794i | ||||
\(29\) | 2.10701 | + | 2.64211i | 0.391263 | + | 0.490628i | 0.937980 | − | 0.346689i | \(-0.112694\pi\) |
−0.546717 | + | 0.837317i | \(0.684123\pi\) | |||||||
\(30\) | 0.187000 | + | 0.323894i | 0.0341414 | + | 0.0591346i | ||||
\(31\) | 4.23372 | − | 7.33302i | 0.760398 | − | 1.31705i | −0.182247 | − | 0.983253i | \(-0.558337\pi\) |
0.942645 | − | 0.333796i | \(-0.108330\pi\) | |||||||
\(32\) | 3.31755 | − | 0.500041i | 0.586466 | − | 0.0883956i | ||||
\(33\) | −7.45287 | + | 6.91525i | −1.29738 | + | 1.20379i | ||||
\(34\) | 5.20940 | + | 2.50872i | 0.893405 | + | 0.430241i | ||||
\(35\) | −0.426842 | − | 0.0163668i | −0.0721495 | − | 0.00276650i | ||||
\(36\) | 0.491620 | − | 0.236752i | 0.0819366 | − | 0.0394586i | ||||
\(37\) | 2.63478 | − | 6.71330i | 0.433155 | − | 1.10366i | −0.533096 | − | 0.846055i | \(-0.678971\pi\) |
0.966250 | − | 0.257605i | \(-0.0829333\pi\) | |||||||
\(38\) | 0.397806 | − | 5.30835i | 0.0645326 | − | 0.861127i | ||||
\(39\) | 1.88297 | + | 0.580820i | 0.301517 | + | 0.0930057i | ||||
\(40\) | −0.0371327 | − | 0.495501i | −0.00587119 | − | 0.0783456i | ||||
\(41\) | −1.41910 | + | 6.21749i | −0.221626 | + | 0.971008i | 0.734628 | + | 0.678471i | \(0.237357\pi\) |
−0.956254 | + | 0.292538i | \(0.905500\pi\) | |||||||
\(42\) | 0.691856 | − | 6.08974i | 0.106756 | − | 0.939667i | ||||
\(43\) | 2.77762 | + | 12.1696i | 0.423583 | + | 1.85584i | 0.510871 | + | 0.859657i | \(0.329323\pi\) |
−0.0872877 | + | 0.996183i | \(0.527820\pi\) | |||||||
\(44\) | 3.04692 | − | 0.939849i | 0.459340 | − | 0.141688i | ||||
\(45\) | −0.0520796 | − | 0.132697i | −0.00776356 | − | 0.0197812i | ||||
\(46\) | −1.11380 | − | 1.03346i | −0.164221 | − | 0.152375i | ||||
\(47\) | −2.44020 | − | 1.66370i | −0.355939 | − | 0.242675i | 0.372127 | − | 0.928182i | \(-0.378628\pi\) |
−0.728066 | + | 0.685507i | \(0.759581\pi\) | |||||||
\(48\) | 4.69393 | 0.677510 | ||||||||
\(49\) | 5.46473 | + | 4.37455i | 0.780676 | + | 0.624936i | ||||
\(50\) | 5.84728 | 0.826931 | ||||||||
\(51\) | −8.00774 | − | 5.45958i | −1.12131 | − | 0.764495i | ||||
\(52\) | −0.453026 | − | 0.420346i | −0.0628233 | − | 0.0582915i | ||||
\(53\) | 0.410204 | + | 1.04518i | 0.0563458 | + | 0.143567i | 0.956275 | − | 0.292470i | \(-0.0944771\pi\) |
−0.899929 | + | 0.436037i | \(0.856382\pi\) | |||||||
\(54\) | −4.68631 | + | 1.44554i | −0.637726 | + | 0.196713i | ||||
\(55\) | −0.185360 | − | 0.812117i | −0.0249940 | − | 0.109506i | ||||
\(56\) | −4.33860 | + | 6.89068i | −0.579770 | + | 0.920805i | ||||
\(57\) | −1.98551 | + | 8.69909i | −0.262987 | + | 1.15222i | ||||
\(58\) | −0.296885 | − | 3.96165i | −0.0389829 | − | 0.520190i | ||||
\(59\) | 0.454641 | + | 0.140238i | 0.0591892 | + | 0.0182575i | 0.324208 | − | 0.945986i | \(-0.394902\pi\) |
−0.265019 | + | 0.964243i | \(0.585378\pi\) | |||||||
\(60\) | −0.0146927 | + | 0.196060i | −0.00189682 | + | 0.0253113i | ||||
\(61\) | −1.73401 | + | 4.41818i | −0.222017 | + | 0.565690i | −0.997871 | − | 0.0652228i | \(-0.979224\pi\) |
0.775854 | + | 0.630913i | \(0.217319\pi\) | |||||||
\(62\) | −8.96842 | + | 4.31896i | −1.13899 | + | 0.548509i | ||||
\(63\) | −0.606700 | + | 2.25588i | −0.0764370 | + | 0.284215i | ||||
\(64\) | −7.84589 | − | 3.77838i | −0.980736 | − | 0.472297i | ||||
\(65\) | −0.118351 | + | 0.109814i | −0.0146796 | + | 0.0136207i | ||||
\(66\) | 11.8186 | − | 1.78136i | 1.45477 | − | 0.219271i | ||||
\(67\) | −0.0180687 | + | 0.0312959i | −0.00220745 | + | 0.00382341i | −0.867127 | − | 0.498087i | \(-0.834036\pi\) |
0.864920 | + | 0.501910i | \(0.167369\pi\) | |||||||
\(68\) | 1.51978 | + | 2.63234i | 0.184301 | + | 0.319219i | ||||
\(69\) | 1.58792 | + | 1.99119i | 0.191164 | + | 0.239712i | ||||
\(70\) | 0.403759 | + | 0.298565i | 0.0482584 | + | 0.0356854i | ||||
\(71\) | 5.16801 | − | 6.48048i | 0.613330 | − | 0.769092i | −0.374059 | − | 0.927405i | \(-0.622034\pi\) |
0.987389 | + | 0.158313i | \(0.0506056\pi\) | |||||||
\(72\) | −2.68706 | − | 0.405009i | −0.316673 | − | 0.0477308i | ||||
\(73\) | −1.48444 | + | 1.01208i | −0.173741 | + | 0.118455i | −0.647068 | − | 0.762432i | \(-0.724005\pi\) |
0.473327 | + | 0.880887i | \(0.343053\pi\) | |||||||
\(74\) | −7.00495 | + | 4.77589i | −0.814309 | + | 0.555186i | ||||
\(75\) | −9.69175 | − | 1.46080i | −1.11911 | − | 0.168678i | ||||
\(76\) | 1.74477 | − | 2.18787i | 0.200139 | − | 0.250966i | ||||
\(77\) | −5.47041 | + | 12.5067i | −0.623412 | + | 1.42527i | ||||
\(78\) | −1.44432 | − | 1.81112i | −0.163537 | − | 0.205069i | ||||
\(79\) | −5.95234 | − | 10.3097i | −0.669690 | − | 1.15994i | −0.977991 | − | 0.208648i | \(-0.933094\pi\) |
0.308301 | − | 0.951289i | \(-0.400240\pi\) | |||||||
\(80\) | −0.192293 | + | 0.333061i | −0.0214990 | + | 0.0372374i | ||||
\(81\) | 10.7478 | − | 1.61998i | 1.19420 | − | 0.179997i | ||||
\(82\) | 5.49580 | − | 5.09936i | 0.606910 | − | 0.563130i | ||||
\(83\) | 13.4294 | + | 6.46727i | 1.47407 | + | 0.709875i | 0.986584 | − | 0.163255i | \(-0.0521994\pi\) |
0.487487 | + | 0.873130i | \(0.337914\pi\) | |||||||
\(84\) | 2.10389 | − | 2.44019i | 0.229553 | − | 0.266247i | ||||
\(85\) | 0.715436 | − | 0.344536i | 0.0776000 | − | 0.0373702i | ||||
\(86\) | 5.36111 | − | 13.6599i | 0.578104 | − | 1.47298i | ||||
\(87\) | −0.497639 | + | 6.64053i | −0.0533525 | + | 0.711939i | ||||
\(88\) | −15.1739 | − | 4.68052i | −1.61754 | − | 0.498945i | ||||
\(89\) | −0.583394 | − | 7.78485i | −0.0618396 | − | 0.825192i | −0.938763 | − | 0.344563i | \(-0.888027\pi\) |
0.876924 | − | 0.480630i | \(-0.159592\pi\) | |||||||
\(90\) | −0.0372901 | + | 0.163379i | −0.00393072 | + | 0.0172216i | ||||
\(91\) | 2.62939 | − | 0.293797i | 0.275635 | − | 0.0307983i | ||||
\(92\) | −0.177737 | − | 0.778718i | −0.0185304 | − | 0.0811870i | ||||
\(93\) | 15.9440 | − | 4.91806i | 1.65331 | − | 0.509979i | ||||
\(94\) | 1.26844 | + | 3.23194i | 0.130830 | + | 0.333350i | ||||
\(95\) | −0.535912 | − | 0.497253i | −0.0549834 | − | 0.0510171i | ||||
\(96\) | 5.46238 | + | 3.72419i | 0.557502 | + | 0.380098i | ||||
\(97\) | 5.41424 | 0.549732 | 0.274866 | − | 0.961482i | \(-0.411366\pi\) | ||||
0.274866 | + | 0.961482i | \(0.411366\pi\) | |||||||
\(98\) | −2.41101 | − | 7.86798i | −0.243549 | − | 0.794786i | ||||
\(99\) | −4.55554 | −0.457849 | ||||||||
\(100\) | 2.53977 | + | 1.73158i | 0.253977 | + | 0.173158i | ||||
\(101\) | 6.08027 | + | 5.64167i | 0.605010 | + | 0.561367i | 0.922063 | − | 0.387041i | \(-0.126503\pi\) |
−0.317053 | + | 0.948408i | \(0.602693\pi\) | |||||||
\(102\) | 4.16253 | + | 10.6059i | 0.412151 | + | 1.05014i | ||||
\(103\) | 0.0141296 | − | 0.00435841i | 0.00139223 | − | 0.000429447i | −0.294059 | − | 0.955787i | \(-0.595006\pi\) |
0.295451 | + | 0.955358i | \(0.404530\pi\) | |||||||
\(104\) | 0.684849 | + | 3.00052i | 0.0671549 | + | 0.294225i | ||||
\(105\) | −0.594634 | − | 0.595735i | −0.0580303 | − | 0.0581378i | ||||
\(106\) | 0.293715 | − | 1.28685i | 0.0285281 | − | 0.124990i | ||||
\(107\) | −0.732279 | − | 9.77158i | −0.0707921 | − | 0.944654i | −0.913646 | − | 0.406512i | \(-0.866745\pi\) |
0.842854 | − | 0.538143i | \(-0.180874\pi\) | |||||||
\(108\) | −2.46357 | − | 0.759911i | −0.237057 | − | 0.0731225i | ||||
\(109\) | 0.872851 | − | 11.6474i | 0.0836040 | − | 1.11562i | −0.784796 | − | 0.619754i | \(-0.787232\pi\) |
0.868400 | − | 0.495864i | \(-0.165149\pi\) | |||||||
\(110\) | −0.357765 | + | 0.911572i | −0.0341116 | + | 0.0869149i | ||||
\(111\) | 12.8037 | − | 6.16594i | 1.21527 | − | 0.585245i | ||||
\(112\) | 5.77886 | − | 2.51493i | 0.546051 | − | 0.237638i | ||||
\(113\) | −18.4237 | − | 8.87238i | −1.73315 | − | 0.834643i | −0.985311 | − | 0.170768i | \(-0.945375\pi\) |
−0.747843 | − | 0.663875i | \(-0.768911\pi\) | |||||||
\(114\) | 7.68936 | − | 7.13469i | 0.720175 | − | 0.668225i | ||||
\(115\) | −0.206338 | + | 0.0311005i | −0.0192411 | + | 0.00290013i | ||||
\(116\) | 1.04423 | − | 1.80866i | 0.0969543 | − | 0.167930i | ||||
\(117\) | 0.441470 | + | 0.764649i | 0.0408140 | + | 0.0706918i | ||||
\(118\) | −0.348729 | − | 0.437293i | −0.0321031 | − | 0.0402561i | ||||
\(119\) | −12.7838 | − | 2.43107i | −1.17189 | − | 0.222856i | ||||
\(120\) | 0.610479 | − | 0.765516i | 0.0557288 | − | 0.0698818i | ||||
\(121\) | −15.4461 | − | 2.32812i | −1.40419 | − | 0.211648i | ||||
\(122\) | 4.61012 | − | 3.14313i | 0.417381 | − | 0.284565i | ||||
\(123\) | −10.3831 | + | 7.07910i | −0.936215 | + | 0.638301i | ||||
\(124\) | −5.17442 | − | 0.779919i | −0.464677 | − | 0.0700388i | ||||
\(125\) | 1.00400 | − | 1.25897i | 0.0898004 | − | 0.112606i | ||||
\(126\) | 2.08321 | − | 1.78940i | 0.185587 | − | 0.159412i | ||||
\(127\) | −3.13853 | − | 3.93559i | −0.278499 | − | 0.349227i | 0.622833 | − | 0.782354i | \(-0.285981\pi\) |
−0.901333 | + | 0.433127i | \(0.857410\pi\) | |||||||
\(128\) | 1.76363 | + | 3.05470i | 0.155885 | + | 0.270000i | ||||
\(129\) | −12.2985 | + | 21.3017i | −1.08282 | + | 1.87551i | ||||
\(130\) | 0.187678 | − | 0.0282879i | 0.0164605 | − | 0.00248101i | ||||
\(131\) | −6.57819 | + | 6.10367i | −0.574739 | + | 0.533280i | −0.913100 | − | 0.407737i | \(-0.866318\pi\) |
0.338361 | + | 0.941017i | \(0.390128\pi\) | |||||||
\(132\) | 5.66092 | + | 2.72615i | 0.492720 | + | 0.237281i | ||||
\(133\) | 2.21640 | + | 11.7736i | 0.192186 | + | 1.02090i | ||||
\(134\) | 0.0382755 | − | 0.0184325i | 0.00330650 | − | 0.00159233i | ||||
\(135\) | −0.246065 | + | 0.626962i | −0.0211779 | + | 0.0539603i | ||||
\(136\) | 1.13121 | − | 15.0949i | 0.0970004 | − | 1.29438i | ||||
\(137\) | 6.89180 | + | 2.12584i | 0.588806 | + | 0.181623i | 0.574821 | − | 0.818280i | \(-0.305072\pi\) |
0.0139858 | + | 0.999902i | \(0.495548\pi\) | |||||||
\(138\) | −0.223743 | − | 2.98565i | −0.0190463 | − | 0.254155i | ||||
\(139\) | 3.47896 | − | 15.2423i | 0.295081 | − | 1.29284i | −0.582273 | − | 0.812993i | \(-0.697837\pi\) |
0.877354 | − | 0.479843i | \(-0.159306\pi\) | |||||||
\(140\) | 0.0869571 | + | 0.249249i | 0.00734922 | + | 0.0210654i | ||||
\(141\) | −1.29500 | − | 5.67377i | −0.109059 | − | 0.477818i | ||||
\(142\) | −9.31134 | + | 2.87217i | −0.781390 | + | 0.241027i | ||||
\(143\) | 1.88498 | + | 4.80285i | 0.157630 | + | 0.401635i | ||||
\(144\) | 1.54178 | + | 1.43056i | 0.128482 | + | 0.119214i | ||||
\(145\) | −0.450797 | − | 0.307348i | −0.0374366 | − | 0.0255239i | ||||
\(146\) | 2.11209 | 0.174798 | ||||||||
\(147\) | 2.03059 | + | 13.6433i | 0.167480 | + | 1.12528i | ||||
\(148\) | −4.45690 | −0.366355 | ||||||||
\(149\) | −11.5139 | − | 7.85003i | −0.943254 | − | 0.643100i | −0.00909586 | − | 0.999959i | \(-0.502895\pi\) |
−0.934158 | + | 0.356859i | \(0.883848\pi\) | |||||||
\(150\) | 8.44635 | + | 7.83707i | 0.689642 | + | 0.639894i | ||||
\(151\) | −6.30598 | − | 16.0674i | −0.513173 | − | 1.30754i | −0.919239 | − | 0.393700i | \(-0.871195\pi\) |
0.406066 | − | 0.913844i | \(-0.366900\pi\) | |||||||
\(152\) | −13.3171 | + | 4.10777i | −1.08016 | + | 0.333184i | ||||
\(153\) | −0.966332 | − | 4.23378i | −0.0781233 | − | 0.342281i | ||||
\(154\) | 13.5958 | − | 8.52529i | 1.09558 | − | 0.686988i | ||||
\(155\) | −0.304201 | + | 1.33279i | −0.0244340 | + | 0.107052i | ||||
\(156\) | −0.0910047 | − | 1.21437i | −0.00728621 | − | 0.0972277i | ||||
\(157\) | 8.28642 | + | 2.55602i | 0.661328 | + | 0.203993i | 0.607209 | − | 0.794542i | \(-0.292289\pi\) |
0.0541186 | + | 0.998535i | \(0.482765\pi\) | |||||||
\(158\) | −1.04584 | + | 13.9558i | −0.0832029 | + | 1.11027i | ||||
\(159\) | −0.808314 | + | 2.05955i | −0.0641034 | + | 0.163333i | ||||
\(160\) | −0.488026 | + | 0.235021i | −0.0385819 | + | 0.0185800i | ||||
\(161\) | 3.02180 | + | 1.60065i | 0.238151 | + | 0.126149i | ||||
\(162\) | −11.5123 | − | 5.54404i | −0.904494 | − | 0.435581i | ||||
\(163\) | −7.33134 | + | 6.80249i | −0.574235 | + | 0.532812i | −0.912947 | − | 0.408078i | \(-0.866199\pi\) |
0.338712 | + | 0.940890i | \(0.390009\pi\) | |||||||
\(164\) | 3.89720 | − | 0.587408i | 0.304320 | − | 0.0458689i | ||||
\(165\) | 0.820722 | − | 1.42153i | 0.0638931 | − | 0.110666i | ||||
\(166\) | −8.76136 | − | 15.1751i | −0.680014 | − | 1.17782i | ||||
\(167\) | 6.58983 | + | 8.26338i | 0.509936 | + | 0.639440i | 0.968438 | − | 0.249254i | \(-0.0801853\pi\) |
−0.458502 | + | 0.888693i | \(0.651614\pi\) | |||||||
\(168\) | −15.5026 | + | 4.13854i | −1.19605 | + | 0.319295i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | −0.923076 | − | 0.139131i | −0.0707967 | − | 0.0106709i | ||||
\(171\) | −3.30338 | + | 2.25221i | −0.252616 | + | 0.172230i | ||||
\(172\) | 6.37376 | − | 4.34556i | 0.485995 | − | 0.331346i | ||||
\(173\) | −16.4509 | − | 2.47957i | −1.25074 | − | 0.188518i | −0.509918 | − | 0.860223i | \(-0.670324\pi\) |
−0.740819 | + | 0.671705i | \(0.765562\pi\) | |||||||
\(174\) | 4.88092 | − | 6.12048i | 0.370022 | − | 0.463993i | ||||
\(175\) | −12.7145 | + | 3.39424i | −0.961128 | + | 0.256581i | ||||
\(176\) | 7.66291 | + | 9.60899i | 0.577614 | + | 0.724305i | ||||
\(177\) | 0.468765 | + | 0.811925i | 0.0352345 | + | 0.0610280i | ||||
\(178\) | −4.58871 | + | 7.94787i | −0.343938 | + | 0.595718i | ||||
\(179\) | 7.56431 | − | 1.14014i | 0.565383 | − | 0.0852178i | 0.139870 | − | 0.990170i | \(-0.455332\pi\) |
0.425513 | + | 0.904952i | \(0.360094\pi\) | |||||||
\(180\) | −0.0645790 | + | 0.0599206i | −0.00481344 | + | 0.00446622i | ||||
\(181\) | −17.7022 | − | 8.52494i | −1.31580 | − | 0.633654i | −0.361459 | − | 0.932388i | \(-0.617721\pi\) |
−0.954336 | + | 0.298734i | \(0.903436\pi\) | |||||||
\(182\) | −2.74852 | − | 1.45589i | −0.203734 | − | 0.107918i | ||||
\(183\) | −8.42641 | + | 4.05795i | −0.622898 | + | 0.299972i | ||||
\(184\) | −1.45326 | + | 3.70284i | −0.107135 | + | 0.272977i | ||||
\(185\) | −0.0870118 | + | 1.16109i | −0.00639723 | + | 0.0853652i | ||||
\(186\) | −18.7435 | − | 5.78160i | −1.37434 | − | 0.423927i | ||||
\(187\) | −1.89639 | − | 25.3056i | −0.138678 | − | 1.85053i | ||||
\(188\) | −0.406142 | + | 1.77942i | −0.0296209 | + | 0.129778i | ||||
\(189\) | 9.35097 | − | 5.86354i | 0.680183 | − | 0.426510i | ||||
\(190\) | 0.191242 | + | 0.837886i | 0.0138742 | + | 0.0607867i | ||||
\(191\) | −6.84623 | + | 2.11178i | −0.495376 | + | 0.152803i | −0.532369 | − | 0.846512i | \(-0.678698\pi\) |
0.0369934 | + | 0.999316i | \(0.488222\pi\) | |||||||
\(192\) | −6.26918 | − | 15.9736i | −0.452439 | − | 1.15280i | ||||
\(193\) | −10.1138 | − | 9.38420i | −0.728004 | − | 0.675489i | 0.226390 | − | 0.974037i | \(-0.427307\pi\) |
−0.954395 | + | 0.298547i | \(0.903498\pi\) | |||||||
\(194\) | −5.25892 | − | 3.58547i | −0.377569 | − | 0.257422i | ||||
\(195\) | −0.318140 | −0.0227824 | ||||||||
\(196\) | 1.28276 | − | 4.13144i | 0.0916255 | − | 0.295103i | ||||
\(197\) | −2.04098 | −0.145414 | −0.0727068 | − | 0.997353i | \(-0.523164\pi\) | ||||
−0.0727068 | + | 0.997353i | \(0.523164\pi\) | |||||||
\(198\) | 4.42486 | + | 3.01682i | 0.314461 | + | 0.214396i | ||||
\(199\) | −0.517927 | − | 0.480566i | −0.0367148 | − | 0.0340664i | 0.661602 | − | 0.749855i | \(-0.269877\pi\) |
−0.698317 | + | 0.715789i | \(0.746067\pi\) | |||||||
\(200\) | −5.59271 | − | 14.2500i | −0.395464 | − | 1.00763i | ||||
\(201\) | −0.0680458 | + | 0.0209894i | −0.00479958 | + | 0.00148048i | ||||
\(202\) | −2.16977 | − | 9.50638i | −0.152664 | − | 0.668866i | ||||
\(203\) | 2.94522 | + | 8.44201i | 0.206714 | + | 0.592513i | ||||
\(204\) | −1.33279 | + | 5.83935i | −0.0933143 | + | 0.408837i | ||||
\(205\) | −0.0769441 | − | 1.02675i | −0.00537401 | − | 0.0717111i | ||||
\(206\) | −0.0166106 | − | 0.00512368i | −0.00115731 | − | 0.000356984i | ||||
\(207\) | −0.0852800 | + | 1.13798i | −0.00592737 | + | 0.0790952i | ||||
\(208\) | 0.870271 | − | 2.21741i | 0.0603424 | − | 0.153750i | ||||
\(209\) | −21.0494 | + | 10.1369i | −1.45602 | + | 0.701181i | ||||
\(210\) | 0.183062 | + | 0.972431i | 0.0126325 | + | 0.0671041i | ||||
\(211\) | 24.2222 | + | 11.6648i | 1.66753 | + | 0.803039i | 0.998194 | + | 0.0600771i | \(0.0191346\pi\) |
0.669334 | + | 0.742962i | \(0.266580\pi\) | |||||||
\(212\) | 0.508656 | − | 0.471963i | 0.0349346 | − | 0.0324146i | ||||
\(213\) | 16.1509 | − | 2.43436i | 1.10664 | − | 0.166799i | ||||
\(214\) | −5.75977 | + | 9.97621i | −0.393730 | + | 0.681960i | ||||
\(215\) | −1.00765 | − | 1.74530i | −0.0687211 | − | 0.119029i | ||||
\(216\) | 8.00509 | + | 10.0381i | 0.544678 | + | 0.683004i | ||||
\(217\) | 16.9942 | − | 14.5973i | 1.15364 | − | 0.990929i | ||||
\(218\) | −8.56107 | + | 10.7352i | −0.579829 | + | 0.727083i | ||||
\(219\) | −3.50074 | − | 0.527652i | −0.236558 | − | 0.0356554i | ||||
\(220\) | −0.425343 | + | 0.289994i | −0.0286766 | + | 0.0195514i | ||||
\(221\) | −4.06377 | + | 2.77063i | −0.273359 | + | 0.186373i | ||||
\(222\) | −16.5197 | − | 2.48994i | −1.10873 | − | 0.167114i | ||||
\(223\) | −2.24752 | + | 2.81830i | −0.150505 | + | 0.188728i | −0.851369 | − | 0.524568i | \(-0.824227\pi\) |
0.700863 | + | 0.713296i | \(0.252798\pi\) | |||||||
\(224\) | 8.72029 | + | 1.65833i | 0.582649 | + | 0.110802i | ||||
\(225\) | −2.73817 | − | 3.43356i | −0.182545 | − | 0.228904i | ||||
\(226\) | 12.0196 | + | 20.8186i | 0.799533 | + | 1.38483i | ||||
\(227\) | −6.80594 | + | 11.7882i | −0.451726 | + | 0.782412i | −0.998493 | − | 0.0548723i | \(-0.982525\pi\) |
0.546767 | + | 0.837285i | \(0.315858\pi\) | |||||||
\(228\) | 5.45270 | − | 0.821862i | 0.361114 | − | 0.0544291i | ||||
\(229\) | −2.12580 | + | 1.97245i | −0.140477 | + | 0.130343i | −0.747282 | − | 0.664508i | \(-0.768641\pi\) |
0.606805 | + | 0.794851i | \(0.292451\pi\) | |||||||
\(230\) | 0.221015 | + | 0.106435i | 0.0145733 | + | 0.00701812i | ||||
\(231\) | −24.6647 | + | 10.7339i | −1.62282 | + | 0.706240i | ||||
\(232\) | −9.37069 | + | 4.51269i | −0.615216 | + | 0.296272i | ||||
\(233\) | 6.77055 | − | 17.2511i | 0.443554 | − | 1.13016i | −0.517961 | − | 0.855404i | \(-0.673309\pi\) |
0.961515 | − | 0.274752i | \(-0.0885958\pi\) | |||||||
\(234\) | 0.0775678 | − | 1.03507i | 0.00507076 | − | 0.0676646i | ||||
\(235\) | 0.455638 | + | 0.140546i | 0.0297226 | + | 0.00916819i | ||||
\(236\) | −0.0219730 | − | 0.293209i | −0.00143032 | − | 0.0190863i | ||||
\(237\) | 5.21998 | − | 22.8702i | 0.339074 | − | 1.48558i | ||||
\(238\) | 10.8071 | + | 10.8271i | 0.700521 | + | 0.701819i | ||||
\(239\) | 0.627514 | + | 2.74932i | 0.0405905 | + | 0.177839i | 0.991160 | − | 0.132674i | \(-0.0423564\pi\) |
−0.950569 | + | 0.310513i | \(0.899499\pi\) | |||||||
\(240\) | −0.724165 | + | 0.223375i | −0.0467446 | + | 0.0144188i | ||||
\(241\) | −8.46719 | − | 21.5740i | −0.545419 | − | 1.38971i | −0.892149 | − | 0.451741i | \(-0.850803\pi\) |
0.346730 | − | 0.937965i | \(-0.387292\pi\) | |||||||
\(242\) | 13.4613 | + | 12.4902i | 0.865322 | + | 0.802901i | ||||
\(243\) | 7.35594 | + | 5.01519i | 0.471884 | + | 0.321725i | ||||
\(244\) | 2.93319 | 0.187778 | ||||||||
\(245\) | −1.05126 | − | 0.414836i | −0.0671625 | − | 0.0265029i | ||||
\(246\) | 14.7733 | 0.941910 | ||||||||
\(247\) | 3.74134 | + | 2.55080i | 0.238056 | + | 0.162303i | ||||
\(248\) | 19.1034 | + | 17.7254i | 1.21307 | + | 1.12556i | ||||
\(249\) | 10.7307 | + | 27.3413i | 0.680028 | + | 1.73268i | ||||
\(250\) | −1.80893 | + | 0.557981i | −0.114407 | + | 0.0352898i | ||||
\(251\) | −5.90618 | − | 25.8767i | −0.372795 | − | 1.63332i | −0.718892 | − | 0.695121i | \(-0.755351\pi\) |
0.346098 | − | 0.938198i | \(-0.387506\pi\) | |||||||
\(252\) | 1.43474 | − | 0.160312i | 0.0903804 | − | 0.0100987i | ||||
\(253\) | −1.48388 | + | 6.50131i | −0.0932909 | + | 0.408734i | ||||
\(254\) | 0.442228 | + | 5.90112i | 0.0277478 | + | 0.370269i | ||||
\(255\) | 1.49522 | + | 0.461215i | 0.0936344 | + | 0.0288824i | ||||
\(256\) | −0.991665 | + | 13.2328i | −0.0619790 | + | 0.827053i | ||||
\(257\) | 5.54513 | − | 14.1288i | 0.345896 | − | 0.881329i | −0.647016 | − | 0.762476i | \(-0.723983\pi\) |
0.992912 | − | 0.118852i | \(-0.0379214\pi\) | |||||||
\(258\) | 26.0523 | − | 12.5461i | 1.62195 | − | 0.781089i | ||||
\(259\) | 12.4595 | − | 14.4511i | 0.774194 | − | 0.897948i | ||||
\(260\) | 0.0898949 | + | 0.0432911i | 0.00557505 | + | 0.00268480i | ||||
\(261\) | −2.18728 | + | 2.02950i | −0.135389 | + | 0.125623i | ||||
\(262\) | 10.4315 | − | 1.57230i | 0.644462 | − | 0.0971370i | ||||
\(263\) | −8.22733 | + | 14.2501i | −0.507319 | + | 0.878702i | 0.492645 | + | 0.870230i | \(0.336030\pi\) |
−0.999964 | + | 0.00847167i | \(0.997303\pi\) | |||||||
\(264\) | −15.6453 | − | 27.0984i | −0.962899 | − | 1.66779i | ||||
\(265\) | −0.113023 | − | 0.141727i | −0.00694296 | − | 0.00870620i | ||||
\(266\) | 5.64400 | − | 12.9036i | 0.346056 | − | 0.791170i | ||||
\(267\) | 9.59127 | − | 12.0271i | 0.586976 | − | 0.736045i | ||||
\(268\) | 0.0220835 | + | 0.00332855i | 0.00134896 | + | 0.000203323i | ||||
\(269\) | −9.28014 | + | 6.32709i | −0.565820 | + | 0.385770i | −0.812178 | − | 0.583409i | \(-0.801718\pi\) |
0.246358 | + | 0.969179i | \(0.420766\pi\) | |||||||
\(270\) | 0.654200 | − | 0.446026i | 0.0398133 | − | 0.0271443i | ||||
\(271\) | 27.2518 | + | 4.10755i | 1.65543 | + | 0.249516i | 0.909257 | − | 0.416234i | \(-0.136650\pi\) |
0.746174 | + | 0.665751i | \(0.231889\pi\) | |||||||
\(272\) | −7.30482 | + | 9.15995i | −0.442920 | + | 0.555404i | ||||
\(273\) | 4.19190 | + | 3.09976i | 0.253706 | + | 0.187606i | ||||
\(274\) | −5.28631 | − | 6.62882i | −0.319358 | − | 0.400462i | ||||
\(275\) | −12.8315 | − | 22.2249i | −0.773771 | − | 1.34021i | ||||
\(276\) | 0.786970 | − | 1.36307i | 0.0473700 | − | 0.0820473i | ||||
\(277\) | 31.0984 | − | 4.68733i | 1.86852 | − | 0.281634i | 0.885432 | − | 0.464768i | \(-0.153862\pi\) |
0.983088 | + | 0.183134i | \(0.0586243\pi\) | |||||||
\(278\) | −13.4731 | + | 12.5012i | −0.808062 | + | 0.749772i | ||||
\(279\) | 6.73586 | + | 3.24382i | 0.403266 | + | 0.194203i | ||||
\(280\) | 0.341431 | − | 1.26954i | 0.0204044 | − | 0.0758694i | ||||
\(281\) | −12.4003 | + | 5.97168i | −0.739741 | + | 0.356241i | −0.765507 | − | 0.643427i | \(-0.777512\pi\) |
0.0257660 | + | 0.999668i | \(0.491798\pi\) | |||||||
\(282\) | −2.49949 | + | 6.36860i | −0.148843 | + | 0.379245i | ||||
\(283\) | −0.269339 | + | 3.59408i | −0.0160106 | + | 0.213646i | 0.983460 | + | 0.181123i | \(0.0579732\pi\) |
−0.999471 | + | 0.0325229i | \(0.989646\pi\) | |||||||
\(284\) | −4.89492 | − | 1.50988i | −0.290460 | − | 0.0895951i | ||||
\(285\) | −0.107655 | − | 1.43656i | −0.00637693 | − | 0.0850943i | ||||
\(286\) | 1.34969 | − | 5.91337i | 0.0798088 | − | 0.349665i | ||||
\(287\) | −8.99017 | + | 14.2784i | −0.530673 | + | 0.842829i | ||||
\(288\) | 0.659172 | + | 2.88802i | 0.0388421 | + | 0.170178i | ||||
\(289\) | 6.87121 | − | 2.11949i | 0.404189 | − | 0.124676i | ||||
\(290\) | 0.234330 | + | 0.597063i | 0.0137603 | + | 0.0350608i | ||||
\(291\) | 7.82082 | + | 7.25666i | 0.458465 | + | 0.425393i | ||||
\(292\) | 0.917385 | + | 0.625462i | 0.0536859 | + | 0.0366024i | ||||
\(293\) | 27.7405 | 1.62062 | 0.810309 | − | 0.586003i | \(-0.199299\pi\) | ||||
0.810309 | + | 0.586003i | \(0.199299\pi\) | |||||||
\(294\) | 7.06270 | − | 14.5967i | 0.411905 | − | 0.851296i | ||||
\(295\) | −0.0768143 | −0.00447230 | ||||||||
\(296\) | 18.3390 | + | 12.5033i | 1.06593 | + | 0.726739i | ||||
\(297\) | 15.7782 | + | 14.6400i | 0.915542 | + | 0.849499i | ||||
\(298\) | 5.98507 | + | 15.2497i | 0.346706 | + | 0.883391i | ||||
\(299\) | 1.23505 | − | 0.380962i | 0.0714247 | − | 0.0220316i | ||||
\(300\) | 1.34784 | + | 5.90529i | 0.0778177 | + | 0.340942i | ||||
\(301\) | −3.72806 | + | 32.8146i | −0.214882 | + | 1.89140i | ||||
\(302\) | −4.51522 | + | 19.7825i | −0.259822 | + | 1.13835i | ||||
\(303\) | 1.22142 | + | 16.2987i | 0.0701686 | + | 0.936335i | ||||
\(304\) | 10.3072 | + | 3.17935i | 0.591159 | + | 0.182348i | ||||
\(305\) | 0.0572645 | − | 0.764142i | 0.00327896 | − | 0.0437546i | ||||
\(306\) | −1.86513 | + | 4.75226i | −0.106622 | + | 0.271669i | ||||
\(307\) | −13.8179 | + | 6.65433i | −0.788627 | + | 0.379783i | −0.784437 | − | 0.620208i | \(-0.787048\pi\) |
−0.00419020 | + | 0.999991i | \(0.501334\pi\) | |||||||
\(308\) | 8.42998 | + | 0.323239i | 0.480343 | + | 0.0184183i | ||||
\(309\) | 0.0262517 | + | 0.0126421i | 0.00149340 | + | 0.000719186i | ||||
\(310\) | 1.17809 | − | 1.09311i | 0.0669110 | − | 0.0620843i | ||||
\(311\) | 2.93288 | − | 0.442060i | 0.166308 | − | 0.0250669i | −0.0653603 | − | 0.997862i | \(-0.520820\pi\) |
0.231668 | + | 0.972795i | \(0.425582\pi\) | |||||||
\(312\) | −3.03231 | + | 5.25212i | −0.171671 | + | 0.297343i | ||||
\(313\) | 13.2355 | + | 22.9245i | 0.748113 | + | 1.29577i | 0.948726 | + | 0.316099i | \(0.102373\pi\) |
−0.200614 | + | 0.979670i | \(0.564294\pi\) | |||||||
\(314\) | −6.35604 | − | 7.97022i | −0.358692 | − | 0.449785i | ||||
\(315\) | −0.0137535 | − | 0.376902i | −0.000774920 | − | 0.0212360i | ||||
\(316\) | −4.58706 | + | 5.75200i | −0.258043 | + | 0.323575i | ||||
\(317\) | 25.5276 | + | 3.84767i | 1.43377 | + | 0.216107i | 0.819542 | − | 0.573019i | \(-0.194228\pi\) |
0.614231 | + | 0.789126i | \(0.289466\pi\) | |||||||
\(318\) | 2.14902 | − | 1.46518i | 0.120511 | − | 0.0821632i | ||||
\(319\) | −14.4063 | + | 9.82204i | −0.806598 | + | 0.549929i | ||||
\(320\) | 1.39025 | + | 0.209546i | 0.0777171 | + | 0.0117140i | ||||
\(321\) | 12.0390 | − | 15.0964i | 0.671952 | − | 0.842601i | ||||
\(322\) | −1.87512 | − | 3.55586i | −0.104496 | − | 0.198160i | ||||
\(323\) | −13.8859 | − | 17.4124i | −0.772633 | − | 0.968851i | ||||
\(324\) | −3.35859 | − | 5.81725i | −0.186588 | − | 0.323181i | ||||
\(325\) | −2.48697 | + | 4.30755i | −0.137952 | + | 0.238940i | ||||
\(326\) | 11.6259 | − | 1.75232i | 0.643897 | − | 0.0970518i | ||||
\(327\) | 16.8717 | − | 15.6547i | 0.933009 | − | 0.865706i | ||||
\(328\) | −17.6838 | − | 8.51607i | −0.976425 | − | 0.470222i | ||||
\(329\) | −4.63423 | − | 6.29134i | −0.255494 | − | 0.346853i | ||||
\(330\) | −1.73856 | + | 0.837247i | −0.0957047 | + | 0.0460889i | ||||
\(331\) | −0.188239 | + | 0.479626i | −0.0103466 | + | 0.0263626i | −0.935954 | − | 0.352123i | \(-0.885460\pi\) |
0.925607 | + | 0.378486i | \(0.123555\pi\) | |||||||
\(332\) | 0.688385 | − | 9.18585i | 0.0377800 | − | 0.504139i | ||||
\(333\) | 6.08472 | + | 1.87689i | 0.333441 | + | 0.102853i | ||||
\(334\) | −0.928526 | − | 12.3903i | −0.0508067 | − | 0.677968i | ||||
\(335\) | 0.00129827 | − | 0.00568810i | 7.09322e−5 | − | 0.000310774i | ||||
\(336\) | 11.7183 | + | 4.11257i | 0.639283 | + | 0.224359i | ||||
\(337\) | 4.09205 | + | 17.9285i | 0.222908 | + | 0.976625i | 0.955276 | + | 0.295716i | \(0.0955581\pi\) |
−0.732368 | + | 0.680909i | \(0.761585\pi\) | |||||||
\(338\) | −1.12336 | + | 0.346510i | −0.0611026 | + | 0.0188477i | ||||
\(339\) | −14.7213 | − | 37.5092i | −0.799550 | − | 2.03722i | ||||
\(340\) | −0.359736 | − | 0.333786i | −0.0195094 | − | 0.0181021i | ||||
\(341\) | 36.0966 | + | 24.6102i | 1.95474 | + | 1.33272i | ||||
\(342\) | 4.70010 | 0.254152 | ||||||||
\(343\) | 9.80980 | + | 15.7088i | 0.529680 | + | 0.848198i | ||||
\(344\) | −38.4172 | −2.07132 | ||||||||
\(345\) | −0.339737 | − | 0.231629i | −0.0182908 | − | 0.0124705i | ||||
\(346\) | 14.3369 | + | 13.3027i | 0.770757 | + | 0.715158i | ||||
\(347\) | −10.9093 | − | 27.7963i | −0.585640 | − | 1.49219i | −0.849481 | − | 0.527620i | \(-0.823085\pi\) |
0.263841 | − | 0.964566i | \(-0.415011\pi\) | |||||||
\(348\) | 3.93251 | − | 1.21302i | 0.210805 | − | 0.0650247i | ||||
\(349\) | 4.76779 | + | 20.8891i | 0.255214 | + | 1.11817i | 0.926300 | + | 0.376786i | \(0.122971\pi\) |
−0.671086 | + | 0.741379i | \(0.734172\pi\) | |||||||
\(350\) | 14.5976 | + | 5.12308i | 0.780273 | + | 0.273840i | ||||
\(351\) | 0.928291 | − | 4.06711i | 0.0495485 | − | 0.217086i | ||||
\(352\) | 1.29360 | + | 17.2619i | 0.0689491 | + | 0.920062i | ||||
\(353\) | 26.8976 | + | 8.29681i | 1.43162 | + | 0.441595i | 0.911074 | − | 0.412242i | \(-0.135254\pi\) |
0.520541 | + | 0.853837i | \(0.325730\pi\) | |||||||
\(354\) | 0.0823635 | − | 1.09907i | 0.00437757 | − | 0.0584146i | ||||
\(355\) | −0.488911 | + | 1.24573i | −0.0259487 | + | 0.0661162i | ||||
\(356\) | −4.34674 | + | 2.09328i | −0.230377 | + | 0.110944i | ||||
\(357\) | −15.2077 | − | 20.6456i | −0.804876 | − | 1.09268i | ||||
\(358\) | −8.10236 | − | 3.90189i | −0.428223 | − | 0.206221i | ||||
\(359\) | −19.7849 | + | 18.3577i | −1.04421 | + | 0.968884i | −0.999546 | − | 0.0301186i | \(-0.990412\pi\) |
−0.0446618 | + | 0.999002i | \(0.514221\pi\) | |||||||
\(360\) | 0.433825 | − | 0.0653886i | 0.0228646 | − | 0.00344628i | ||||
\(361\) | −0.752087 | + | 1.30265i | −0.0395835 | + | 0.0685606i | ||||
\(362\) | 11.5489 | + | 20.0034i | 0.606999 | + | 1.05135i | ||||
\(363\) | −19.1914 | − | 24.0652i | −1.00729 | − | 1.26310i | ||||
\(364\) | −0.762680 | − | 1.44630i | −0.0399753 | − | 0.0758067i | ||||
\(365\) | 0.180852 | − | 0.226782i | 0.00946625 | − | 0.0118703i | ||||
\(366\) | 10.8720 | + | 1.63869i | 0.568288 | + | 0.0856557i | ||||
\(367\) | 26.2285 | − | 17.8823i | 1.36912 | − | 0.933449i | 0.369126 | − | 0.929379i | \(-0.379657\pi\) |
0.999992 | − | 0.00406983i | \(-0.00129547\pi\) | |||||||
\(368\) | 2.54379 | − | 1.73433i | 0.132604 | − | 0.0904081i | ||||
\(369\) | −5.56796 | − | 0.839235i | −0.289856 | − | 0.0436888i | ||||
\(370\) | 0.853426 | − | 1.07016i | 0.0443675 | − | 0.0556351i | ||||
\(371\) | 0.108329 | + | 2.96866i | 0.00562416 | + | 0.154125i | ||||
\(372\) | −6.42909 | − | 8.06183i | −0.333333 | − | 0.417986i | ||||
\(373\) | −14.6602 | − | 25.3922i | −0.759075 | − | 1.31476i | −0.943323 | − | 0.331877i | \(-0.892318\pi\) |
0.184247 | − | 0.982880i | \(-0.441015\pi\) | |||||||
\(374\) | −14.9161 | + | 25.8355i | −0.771296 | + | 1.33592i | ||||
\(375\) | 3.13766 | − | 0.472926i | 0.162028 | − | 0.0244218i | ||||
\(376\) | 6.66312 | − | 6.18247i | 0.343624 | − | 0.318836i | ||||
\(377\) | 3.04472 | + | 1.46626i | 0.156811 | + | 0.0755163i | ||||
\(378\) | −12.9657 | − | 0.497159i | −0.666886 | − | 0.0255711i | ||||
\(379\) | 11.4177 | − | 5.49845i | 0.586486 | − | 0.282437i | −0.117016 | − | 0.993130i | \(-0.537333\pi\) |
0.703502 | + | 0.710693i | \(0.251619\pi\) | |||||||
\(380\) | −0.165061 | + | 0.420569i | −0.00846746 | + | 0.0215747i | ||||
\(381\) | 0.741263 | − | 9.89147i | 0.0379761 | − | 0.506755i | ||||
\(382\) | 8.04832 | + | 2.48258i | 0.411788 | + | 0.127020i | ||||
\(383\) | −0.428952 | − | 5.72396i | −0.0219184 | − | 0.292481i | −0.997382 | − | 0.0723182i | \(-0.976960\pi\) |
0.975463 | − | 0.220163i | \(-0.0706588\pi\) | |||||||
\(384\) | −1.54664 | + | 6.77628i | −0.0789267 | + | 0.345801i | ||||
\(385\) | 0.248787 | − | 2.18983i | 0.0126793 | − | 0.111604i | ||||
\(386\) | 3.60913 | + | 15.8126i | 0.183700 | + | 0.804843i | ||||
\(387\) | −10.5317 | + | 3.24859i | −0.535356 | + | 0.165135i | ||||
\(388\) | −1.22243 | − | 3.11470i | −0.0620594 | − | 0.158125i | ||||
\(389\) | −6.50384 | − | 6.03468i | −0.329758 | − | 0.305970i | 0.497866 | − | 0.867254i | \(-0.334117\pi\) |
−0.827624 | + | 0.561284i | \(0.810308\pi\) | |||||||
\(390\) | 0.309013 | + | 0.210682i | 0.0156475 | + | 0.0106683i | ||||
\(391\) | −6.35688 | −0.321481 | ||||||||
\(392\) | −16.8684 | + | 13.4011i | −0.851984 | + | 0.676859i | ||||
\(393\) | −17.6828 | −0.891981 | ||||||||
\(394\) | 1.98243 | + | 1.35160i | 0.0998734 | + | 0.0680925i | ||||
\(395\) | 1.40893 | + | 1.30730i | 0.0708910 | + | 0.0657772i | ||||
\(396\) | 1.02855 | + | 2.62071i | 0.0516867 | + | 0.131696i | ||||
\(397\) | 8.98220 | − | 2.77064i | 0.450804 | − | 0.139055i | −0.0610358 | − | 0.998136i | \(-0.519440\pi\) |
0.511840 | + | 0.859081i | \(0.328964\pi\) | |||||||
\(398\) | 0.184824 | + | 0.809767i | 0.00926439 | + | 0.0405900i | ||||
\(399\) | −12.5785 | + | 19.9774i | −0.629710 | + | 1.00012i | ||||
\(400\) | −2.63649 | + | 11.5512i | −0.131825 | + | 0.577562i | ||||
\(401\) | −0.0784244 | − | 1.04650i | −0.00391633 | − | 0.0522598i | 0.994903 | − | 0.100834i | \(-0.0321512\pi\) |
−0.998820 | + | 0.0485745i | \(0.984532\pi\) | |||||||
\(402\) | 0.0799937 | + | 0.0246748i | 0.00398972 | + | 0.00123067i | ||||
\(403\) | 0.632772 | − | 8.44376i | 0.0315206 | − | 0.420614i | ||||
\(404\) | 1.87273 | − | 4.77163i | 0.0931717 | − | 0.237398i | ||||
\(405\) | −1.58105 | + | 0.761395i | −0.0785631 | + | 0.0378340i | ||||
\(406\) | 2.72982 | − | 10.1503i | 0.135479 | − | 0.503749i | ||||
\(407\) | 33.5246 | + | 16.1446i | 1.66175 | + | 0.800258i | ||||
\(408\) | 21.8657 | − | 20.2884i | 1.08251 | − | 1.00442i | ||||
\(409\) | 12.8145 | − | 1.93148i | 0.633636 | − | 0.0955053i | 0.175633 | − | 0.984456i | \(-0.443803\pi\) |
0.458003 | + | 0.888950i | \(0.348565\pi\) | |||||||
\(410\) | −0.605207 | + | 1.04825i | −0.0298890 | + | 0.0517693i | ||||
\(411\) | 7.10590 | + | 12.3078i | 0.350508 | + | 0.607098i | ||||
\(412\) | −0.00569750 | − | 0.00714443i | −0.000280695 | − | 0.000351981i | ||||
\(413\) | 1.01213 | + | 0.748433i | 0.0498036 | + | 0.0368280i | ||||
\(414\) | 0.836441 | − | 1.04886i | 0.0411088 | − | 0.0515488i | ||||
\(415\) | −2.37962 | − | 0.358669i | −0.116811 | − | 0.0176064i | ||||
\(416\) | 2.77205 | − | 1.88995i | 0.135911 | − | 0.0926626i | ||||
\(417\) | 25.4545 | − | 17.3546i | 1.24651 | − | 0.849857i | ||||
\(418\) | 27.1585 | + | 4.09349i | 1.32837 | + | 0.200219i | ||||
\(419\) | 1.61597 | − | 2.02636i | 0.0789453 | − | 0.0989943i | −0.740790 | − | 0.671736i | \(-0.765549\pi\) |
0.819736 | + | 0.572742i | \(0.194120\pi\) | |||||||
\(420\) | −0.208457 | + | 0.476586i | −0.0101717 | + | 0.0232550i | ||||
\(421\) | −8.02926 | − | 10.0684i | −0.391322 | − | 0.490703i | 0.546675 | − | 0.837345i | \(-0.315893\pi\) |
−0.937997 | + | 0.346642i | \(0.887322\pi\) | |||||||
\(422\) | −15.8026 | − | 27.3709i | −0.769259 | − | 1.33239i | ||||
\(423\) | 1.30383 | − | 2.25830i | 0.0633943 | − | 0.109802i | ||||
\(424\) | −3.41701 | + | 0.515032i | −0.165945 | + | 0.0250122i | ||||
\(425\) | 17.9332 | − | 16.6396i | 0.869890 | − | 0.807140i | ||||
\(426\) | −17.2997 | − | 8.33110i | −0.838173 | − | 0.403643i | ||||
\(427\) | −8.19987 | + | 9.51061i | −0.396820 | + | 0.460251i | ||||
\(428\) | −5.45605 | + | 2.62750i | −0.263728 | + | 0.127005i | ||||
\(429\) | −3.71439 | + | 9.46411i | −0.179332 | + | 0.456932i | ||||
\(430\) | −0.177047 | + | 2.36253i | −0.00853798 | + | 0.113931i | ||||
\(431\) | 23.3867 | + | 7.21384i | 1.12650 | + | 0.347479i | 0.801357 | − | 0.598187i | \(-0.204112\pi\) |
0.325141 | + | 0.945665i | \(0.394588\pi\) | |||||||
\(432\) | −0.742617 | − | 9.90954i | −0.0357292 | − | 0.476773i | ||||
\(433\) | −5.35867 | + | 23.4779i | −0.257521 | + | 1.12827i | 0.666371 | + | 0.745620i | \(0.267847\pi\) |
−0.923892 | + | 0.382653i | \(0.875010\pi\) | |||||||
\(434\) | −26.1734 | + | 2.92452i | −1.25637 | + | 0.140381i | ||||
\(435\) | −0.239236 | − | 1.04816i | −0.0114705 | − | 0.0502555i | ||||
\(436\) | −6.89758 | + | 2.12762i | −0.330334 | + | 0.101895i | ||||
\(437\) | 2.13816 | + | 5.44793i | 0.102282 | + | 0.260610i | ||||
\(438\) | 3.05089 | + | 2.83082i | 0.145777 | + | 0.135262i | ||||
\(439\) | −19.8332 | − | 13.5220i | −0.946587 | − | 0.645372i | −0.0115542 | − | 0.999933i | \(-0.503678\pi\) |
−0.935033 | + | 0.354561i | \(0.884630\pi\) | |||||||
\(440\) | 2.56371 | 0.122220 | ||||||||
\(441\) | −3.49109 | + | 5.10019i | −0.166243 | + | 0.242866i | ||||
\(442\) | 5.78200 | 0.275022 | ||||||||
\(443\) | −10.0265 | − | 6.83594i | −0.476373 | − | 0.324785i | 0.301219 | − | 0.953555i | \(-0.402606\pi\) |
−0.777592 | + | 0.628770i | \(0.783559\pi\) | |||||||
\(444\) | −6.43796 | − | 5.97356i | −0.305532 | − | 0.283492i | ||||
\(445\) | 0.460471 | + | 1.17326i | 0.0218284 | + | 0.0556179i | ||||
\(446\) | 4.04942 | − | 1.24908i | 0.191745 | − | 0.0591456i | ||||
\(447\) | −6.11037 | − | 26.7713i | −0.289011 | − | 1.26624i | ||||
\(448\) | −16.2766 | − | 16.3068i | −0.768998 | − | 0.770422i | ||||
\(449\) | −6.07214 | + | 26.6038i | −0.286562 | + | 1.25551i | 0.602646 | + | 0.798009i | \(0.294113\pi\) |
−0.889208 | + | 0.457502i | \(0.848744\pi\) | |||||||
\(450\) | 0.385817 | + | 5.14837i | 0.0181876 | + | 0.242696i | ||||
\(451\) | −31.4423 | − | 9.69868i | −1.48056 | − | 0.456693i | ||||
\(452\) | −0.944388 | + | 12.6020i | −0.0444203 | + | 0.592747i | ||||
\(453\) | 12.4260 | − | 31.6610i | 0.583826 | − | 1.48757i | ||||
\(454\) | 14.4172 | − | 6.94297i | 0.676634 | − | 0.325850i | ||||
\(455\) | −0.391673 | + | 0.170454i | −0.0183619 | + | 0.00799100i | ||||
\(456\) | −24.7420 | − | 11.9151i | −1.15865 | − | 0.557977i | ||||
\(457\) | −3.27133 | + | 3.03535i | −0.153026 | + | 0.141988i | −0.752971 | − | 0.658054i | \(-0.771380\pi\) |
0.599944 | + | 0.800042i | \(0.295189\pi\) | |||||||
\(458\) | 3.37103 | − | 0.508101i | 0.157518 | − | 0.0237420i | ||||
\(459\) | −10.2591 | + | 17.7692i | −0.478852 | + | 0.829395i | ||||
\(460\) | 0.0644785 | + | 0.111680i | 0.00300633 | + | 0.00520711i | ||||
\(461\) | 10.0558 | + | 12.6095i | 0.468344 | + | 0.587285i | 0.958765 | − | 0.284201i | \(-0.0917283\pi\) |
−0.490421 | + | 0.871486i | \(0.663157\pi\) | |||||||
\(462\) | 31.0655 | + | 5.90768i | 1.44530 | + | 0.274850i | ||||
\(463\) | 15.9362 | − | 19.9834i | 0.740618 | − | 0.928706i | −0.258688 | − | 0.965961i | \(-0.583290\pi\) |
0.999306 | + | 0.0372552i | \(0.0118614\pi\) | |||||||
\(464\) | 7.96006 | + | 1.19979i | 0.369536 | + | 0.0556986i | ||||
\(465\) | −2.22574 | + | 1.51749i | −0.103216 | + | 0.0703718i | ||||
\(466\) | −18.0005 | + | 12.2726i | −0.833859 | + | 0.568515i | ||||
\(467\) | −20.6591 | − | 3.11387i | −0.955991 | − | 0.144093i | −0.347524 | − | 0.937671i | \(-0.612977\pi\) |
−0.608468 | + | 0.793579i | \(0.708215\pi\) | |||||||
\(468\) | 0.340211 | − | 0.426612i | 0.0157263 | − | 0.0197201i | ||||
\(469\) | −0.0725279 | + | 0.0622986i | −0.00334903 | + | 0.00287668i | ||||
\(470\) | −0.349494 | − | 0.438252i | −0.0161210 | − | 0.0202150i | ||||
\(471\) | 8.54385 | + | 14.7984i | 0.393680 | + | 0.681873i | ||||
\(472\) | −0.732148 | + | 1.26812i | −0.0336998 | + | 0.0583698i | ||||
\(473\) | −63.6844 | + | 9.59888i | −2.92821 | + | 0.441357i | ||||
\(474\) | −20.2156 | + | 18.7573i | −0.928533 | + | 0.861553i | ||||
\(475\) | −20.2923 | − | 9.77225i | −0.931074 | − | 0.448382i | ||||
\(476\) | 1.48778 | + | 7.90312i | 0.0681922 | + | 0.362239i | ||||
\(477\) | −0.893187 | + | 0.430136i | −0.0408962 | + | 0.0196946i | ||||
\(478\) | 1.21117 | − | 3.08601i | 0.0553976 | − | 0.141151i | ||||
\(479\) | 0.540987 | − | 7.21897i | 0.0247183 | − | 0.329843i | −0.971112 | − | 0.238623i | \(-0.923304\pi\) |
0.995831 | − | 0.0912206i | \(-0.0290768\pi\) | |||||||
\(480\) | −1.01995 | − | 0.314612i | −0.0465540 | − | 0.0143600i | ||||
\(481\) | −0.538941 | − | 7.19166i | −0.0245736 | − | 0.327912i | ||||
\(482\) | −6.06269 | + | 26.5624i | −0.276148 | + | 1.20988i | ||||
\(483\) | 2.21963 | + | 6.36221i | 0.100997 | + | 0.289491i | ||||
\(484\) | 2.14810 | + | 9.41146i | 0.0976411 | + | 0.427794i | ||||
\(485\) | −0.835292 | + | 0.257653i | −0.0379286 | + | 0.0116994i | ||||
\(486\) | −3.82371 | − | 9.74266i | −0.173447 | − | 0.441936i | ||||
\(487\) | 14.9633 | + | 13.8839i | 0.678051 | + | 0.629139i | 0.942085 | − | 0.335374i | \(-0.108863\pi\) |
−0.264034 | + | 0.964513i | \(0.585053\pi\) | |||||||
\(488\) | −12.0693 | − | 8.22870i | −0.546351 | − | 0.372496i | ||||
\(489\) | −19.7074 | −0.891199 | ||||||||
\(490\) | 0.746386 | + | 1.09911i | 0.0337183 | + | 0.0496528i | ||||
\(491\) | −25.1682 | −1.13582 | −0.567912 | − | 0.823089i | \(-0.692249\pi\) | ||||
−0.567912 | + | 0.823089i | \(0.692249\pi\) | |||||||
\(492\) | 6.41677 | + | 4.37488i | 0.289290 | + | 0.197235i | ||||
\(493\) | −12.1842 | − | 11.3053i | −0.548748 | − | 0.509164i | ||||
\(494\) | −1.94479 | − | 4.95526i | −0.0875004 | − | 0.222947i | ||||
\(495\) | 0.702815 | − | 0.216790i | 0.0315892 | − | 0.00974398i | ||||
\(496\) | −4.48827 | − | 19.6644i | −0.201529 | − | 0.882957i | ||||
\(497\) | 18.5796 | − | 11.6504i | 0.833411 | − | 0.522592i | ||||
\(498\) | 7.68339 | − | 33.6631i | 0.344301 | − | 1.50848i | ||||
\(499\) | 1.41449 | + | 18.8750i | 0.0633212 | + | 0.844963i | 0.934946 | + | 0.354789i | \(0.115447\pi\) |
−0.871625 | + | 0.490173i | \(0.836934\pi\) | |||||||
\(500\) | −0.950945 | − | 0.293328i | −0.0425276 | − | 0.0131180i | ||||
\(501\) | −1.55640 | + | 20.7687i | −0.0695347 | + | 0.927876i | ||||
\(502\) | −11.3996 | + | 29.0456i | −0.508787 | + | 1.29637i | ||||
\(503\) | −32.1335 | + | 15.4747i | −1.43276 | + | 0.689982i | −0.979509 | − | 0.201400i | \(-0.935451\pi\) |
−0.453253 | + | 0.891382i | \(0.649737\pi\) | |||||||
\(504\) | −6.35332 | − | 3.36535i | −0.282999 | − | 0.149905i | ||||
\(505\) | −1.20652 | − | 0.581031i | −0.0536895 | − | 0.0258555i | ||||
\(506\) | 5.74668 | − | 5.33214i | 0.255471 | − | 0.237043i | ||||
\(507\) | 1.94851 | − | 0.293690i | 0.0865363 | − | 0.0130433i | ||||
\(508\) | −1.55544 | + | 2.69411i | −0.0690117 | + | 0.119532i | ||||
\(509\) | −0.0665249 | − | 0.115224i | −0.00294866 | − | 0.00510723i | 0.864547 | − | 0.502551i | \(-0.167605\pi\) |
−0.867496 | + | 0.497444i | \(0.834272\pi\) | |||||||
\(510\) | −1.14690 | − | 1.43817i | −0.0507855 | − | 0.0636830i | ||||
\(511\) | −4.59260 | + | 1.22603i | −0.203164 | + | 0.0542363i | ||||
\(512\) | 14.1248 | − | 17.7120i | 0.624236 | − | 0.782767i | ||||
\(513\) | 18.6791 | + | 2.81542i | 0.824703 | + | 0.124304i | ||||
\(514\) | −14.7426 | + | 10.0513i | −0.650267 | + | 0.443345i | ||||
\(515\) | −0.00197247 | + | 0.00134480i | −8.69172e−5 | + | 5.92592e-5i | ||||
\(516\) | 15.0312 | + | 2.26558i | 0.661710 | + | 0.0997368i | ||||
\(517\) | 9.50073 | − | 11.9135i | 0.417842 | − | 0.523957i | ||||
\(518\) | −21.6720 | + | 5.78552i | −0.952215 | + | 0.254201i | ||||
\(519\) | −20.4398 | − | 25.6307i | −0.897207 | − | 1.12506i | ||||
\(520\) | −0.248445 | − | 0.430320i | −0.0108951 | − | 0.0188708i | ||||
\(521\) | 12.1963 | − | 21.1246i | 0.534329 | − | 0.925485i | −0.464866 | − | 0.885381i | \(-0.653898\pi\) |
0.999195 | − | 0.0401044i | \(-0.0127690\pi\) | |||||||
\(522\) | 3.46853 | − | 0.522797i | 0.151814 | − | 0.0228822i | ||||
\(523\) | −18.4119 | + | 17.0837i | −0.805095 | + | 0.747019i | −0.970989 | − | 0.239125i | \(-0.923139\pi\) |
0.165894 | + | 0.986144i | \(0.446949\pi\) | |||||||
\(524\) | 4.99654 | + | 2.40621i | 0.218275 | + | 0.105116i | ||||
\(525\) | −22.9153 | − | 12.1382i | −1.00011 | − | 0.529756i | ||||
\(526\) | 17.4282 | − | 8.39298i | 0.759906 | − | 0.365951i | ||||
\(527\) | −15.2151 | + | 38.7674i | −0.662779 | + | 1.68873i | ||||
\(528\) | −1.80984 | + | 24.1507i | −0.0787632 | + | 1.05102i | ||||
\(529\) | −20.3819 | − | 6.28699i | −0.886170 | − | 0.273347i | ||||
\(530\) | 0.0159253 | + | 0.212509i | 0.000691751 | + | 0.00923078i | ||||
\(531\) | −0.0934776 | + | 0.409552i | −0.00405658 | + | 0.0177730i | ||||
\(532\) | 6.27267 | − | 3.93329i | 0.271955 | − | 0.170530i | ||||
\(533\) | 1.41910 | + | 6.21749i | 0.0614681 | + | 0.269309i | ||||
\(534\) | −17.2808 | + | 5.33043i | −0.747815 | + | 0.230670i | ||||
\(535\) | 0.577985 | + | 1.47268i | 0.0249885 | + | 0.0636696i | ||||
\(536\) | −0.0815297 | − | 0.0756485i | −0.00352155 | − | 0.00326752i | ||||
\(537\) | 12.4547 | + | 8.49147i | 0.537460 | + | 0.366434i | ||||
\(538\) | 13.2039 | 0.569262 | ||||||||
\(539\) | −24.6145 | + | 26.4298i | −1.06022 | + | 1.13841i | ||||
\(540\) | 0.416235 | 0.0179119 | ||||||||
\(541\) | −1.63855 | − | 1.11715i | −0.0704468 | − | 0.0480298i | 0.527585 | − | 0.849503i | \(-0.323098\pi\) |
−0.598031 | + | 0.801473i | \(0.704050\pi\) | |||||||
\(542\) | −23.7500 | − | 22.0367i | −1.02015 | − | 0.946559i | ||||
\(543\) | −14.1448 | − | 36.0404i | −0.607012 | − | 1.54664i | ||||
\(544\) | −15.7683 | + | 4.86386i | −0.676058 | + | 0.208536i | ||||
\(545\) | 0.419617 | + | 1.83846i | 0.0179744 | + | 0.0787510i | ||||
\(546\) | −2.01890 | − | 5.78685i | −0.0864009 | − | 0.247654i | ||||
\(547\) | 0.698358 | − | 3.05971i | 0.0298596 | − | 0.130824i | −0.957801 | − | 0.287431i | \(-0.907199\pi\) |
0.987661 | + | 0.156608i | \(0.0500558\pi\) | |||||||
\(548\) | −0.333083 | − | 4.44468i | −0.0142286 | − | 0.189867i | ||||
\(549\) | −4.00450 | − | 1.23522i | −0.170908 | − | 0.0527181i | ||||
\(550\) | −2.25454 | + | 30.0848i | −0.0961340 | + | 1.28282i | ||||
\(551\) | −5.59059 | + | 14.2446i | −0.238167 | + | 0.606840i | ||||
\(552\) | −7.06210 | + | 3.40093i | −0.300583 | + | 0.144753i | ||||
\(553\) | −5.82698 | − | 30.9531i | −0.247789 | − | 1.31626i | ||||
\(554\) | −33.3104 | − | 16.0414i | −1.41522 | − | 0.681535i | ||||
\(555\) | −1.68189 | + | 1.56057i | −0.0713923 | + | 0.0662423i | ||||
\(556\) | −9.55407 | + | 1.44004i | −0.405183 | + | 0.0610715i | ||||
\(557\) | 8.07873 | − | 13.9928i | 0.342307 | − | 0.592893i | −0.642554 | − | 0.766240i | \(-0.722125\pi\) |
0.984861 | + | 0.173348i | \(0.0554585\pi\) | |||||||
\(558\) | −4.39448 | − | 7.61147i | −0.186033 | − | 0.322219i | ||||
\(559\) | 7.78273 | + | 9.75923i | 0.329174 | + | 0.412771i | ||||
\(560\) | −0.771864 | + | 0.663001i | −0.0326172 | + | 0.0280169i | ||||
\(561\) | 31.1776 | − | 39.0954i | 1.31632 | − | 1.65061i | ||||
\(562\) | 15.9992 | + | 2.41150i | 0.674887 | + | 0.101723i | ||||
\(563\) | 12.8099 | − | 8.73365i | 0.539873 | − | 0.368079i | −0.262472 | − | 0.964940i | \(-0.584538\pi\) |
0.802345 | + | 0.596860i | \(0.203585\pi\) | |||||||
\(564\) | −2.97162 | + | 2.02601i | −0.125128 | + | 0.0853106i | ||||
\(565\) | 3.26457 | + | 0.492055i | 0.137341 | + | 0.0207009i | ||||
\(566\) | 2.64172 | − | 3.31262i | 0.111040 | − | 0.139240i | ||||
\(567\) | 28.2510 | + | 5.37246i | 1.18643 | + | 0.225622i | ||||
\(568\) | 15.9055 | + | 19.9449i | 0.667380 | + | 0.836868i | ||||
\(569\) | −2.72169 | − | 4.71411i | −0.114099 | − | 0.197626i | 0.803320 | − | 0.595548i | \(-0.203065\pi\) |
−0.917419 | + | 0.397922i | \(0.869732\pi\) | |||||||
\(570\) | −0.846765 | + | 1.46664i | −0.0354671 | + | 0.0614308i | ||||
\(571\) | −3.32169 | + | 0.500664i | −0.139008 | + | 0.0209521i | −0.218178 | − | 0.975909i | \(-0.570011\pi\) |
0.0791695 | + | 0.996861i | \(0.474773\pi\) | |||||||
\(572\) | 2.33739 | − | 2.16878i | 0.0977312 | − | 0.0906813i | ||||
\(573\) | −12.7197 | − | 6.12550i | −0.531374 | − | 0.255896i | ||||
\(574\) | 18.1879 | − | 7.91528i | 0.759148 | − | 0.330377i | ||||
\(575\) | −5.79202 | + | 2.78929i | −0.241544 | + | 0.116321i | ||||
\(576\) | 2.80907 | − | 7.15739i | 0.117045 | − | 0.298225i | ||||
\(577\) | −1.19657 | + | 15.9671i | −0.0498139 | + | 0.664720i | 0.915280 | + | 0.402817i | \(0.131969\pi\) |
−0.965094 | + | 0.261903i | \(0.915650\pi\) | |||||||
\(578\) | −8.07769 | − | 2.49164i | −0.335988 | − | 0.103638i | ||||
\(579\) | −2.03167 | − | 27.1108i | −0.0844335 | − | 1.12669i | ||||
\(580\) | −0.0750299 | + | 0.328727i | −0.00311545 | + | 0.0136497i | ||||
\(581\) | 27.8599 | + | 27.9115i | 1.15582 | + | 1.15796i | ||||
\(582\) | −2.79089 | − | 12.2277i | −0.115686 | − | 0.506854i | ||||
\(583\) | −5.53571 | + | 1.70754i | −0.229266 | + | 0.0707191i | ||||
\(584\) | −2.02013 | − | 5.14722i | −0.0835937 | − | 0.212993i | ||||
\(585\) | −0.104497 | − | 0.0969590i | −0.00432042 | − | 0.00400876i | ||||
\(586\) | −26.9447 | − | 18.3706i | −1.11308 | − | 0.758883i | ||||
\(587\) | 39.0142 | 1.61029 | 0.805143 | − | 0.593080i | \(-0.202088\pi\) | ||||
0.805143 | + | 0.593080i | \(0.202088\pi\) | |||||||
\(588\) | 7.39027 | − | 4.24856i | 0.304769 | − | 0.175208i | ||||
\(589\) | 38.3419 | 1.57985 | ||||||||
\(590\) | 0.0746108 | + | 0.0508688i | 0.00307168 | + | 0.00209424i | ||||
\(591\) | −2.94817 | − | 2.73551i | −0.121272 | − | 0.112524i | ||||
\(592\) | −6.27624 | − | 15.9916i | −0.257952 | − | 0.657251i | ||||
\(593\) | 35.7549 | − | 11.0289i | 1.46828 | − | 0.452904i | 0.545459 | − | 0.838137i | \(-0.316355\pi\) |
0.922819 | + | 0.385233i | \(0.125879\pi\) | |||||||
\(594\) | −5.63050 | − | 24.6688i | −0.231022 | − | 1.01217i | ||||
\(595\) | 2.08793 | − | 0.233297i | 0.0855968 | − | 0.00956424i | ||||
\(596\) | −1.91635 | + | 8.39608i | −0.0784968 | + | 0.343917i | ||||
\(597\) | −0.104042 | − | 1.38835i | −0.00425816 | − | 0.0568212i | ||||
\(598\) | −1.45190 | − | 0.447853i | −0.0593728 | − | 0.0183141i | ||||
\(599\) | 0.826927 | − | 11.0346i | 0.0337873 | − | 0.450860i | −0.954495 | − | 0.298226i | \(-0.903605\pi\) |
0.988283 | − | 0.152635i | \(-0.0487758\pi\) | |||||||
\(600\) | 11.0205 | − | 28.0799i | 0.449911 | − | 1.14636i | ||||
\(601\) | 13.4343 | − | 6.46960i | 0.547995 | − | 0.263901i | −0.139336 | − | 0.990245i | \(-0.544497\pi\) |
0.687331 | + | 0.726345i | \(0.258782\pi\) | |||||||
\(602\) | 25.3519 | − | 29.4044i | 1.03327 | − | 1.19843i | ||||
\(603\) | −0.0287474 | − | 0.0138440i | −0.00117069 | − | 0.000563772i | ||||
\(604\) | −7.81946 | + | 7.25540i | −0.318169 | + | 0.295218i | ||||
\(605\) | 2.49377 | − | 0.375875i | 0.101386 | − | 0.0152815i | ||||
\(606\) | 9.60711 | − | 16.6400i | 0.390262 | − | 0.675954i | ||||
\(607\) | −4.23189 | − | 7.32986i | −0.171767 | − | 0.297510i | 0.767271 | − | 0.641324i | \(-0.221614\pi\) |
−0.939038 | + | 0.343814i | \(0.888281\pi\) | |||||||
\(608\) | 9.47210 | + | 11.8776i | 0.384145 | + | 0.481702i | ||||
\(609\) | −7.06041 | + | 16.1419i | −0.286102 | + | 0.654102i | ||||
\(610\) | −0.561660 | + | 0.704299i | −0.0227409 | + | 0.0285162i | ||||
\(611\) | −2.92039 | − | 0.440178i | −0.118146 | − | 0.0178077i | ||||
\(612\) | −2.21743 | + | 1.51182i | −0.0896341 | + | 0.0611115i | ||||
\(613\) | 18.3275 | − | 12.4955i | 0.740241 | − | 0.504688i | −0.133518 | − | 0.991046i | \(-0.542627\pi\) |
0.873759 | + | 0.486358i | \(0.161675\pi\) | |||||||
\(614\) | 17.8282 | + | 2.68717i | 0.719487 | + | 0.108445i | ||||
\(615\) | 1.26500 | − | 1.58626i | 0.0510096 | − | 0.0639640i | ||||
\(616\) | −33.7803 | − | 24.9793i | −1.36105 | − | 1.00644i | ||||
\(617\) | −23.5667 | − | 29.5517i | −0.948758 | − | 1.18971i | −0.981736 | − | 0.190249i | \(-0.939070\pi\) |
0.0329775 | − | 0.999456i | \(-0.489501\pi\) | |||||||
\(618\) | −0.0171266 | − | 0.0296641i | −0.000688933 | − | 0.00119327i | ||||
\(619\) | −17.1641 | + | 29.7291i | −0.689884 | + | 1.19491i | 0.281992 | + | 0.959417i | \(0.409005\pi\) |
−0.971875 | + | 0.235497i | \(0.924328\pi\) | |||||||
\(620\) | 0.835409 | − | 0.125918i | 0.0335508 | − | 0.00505698i | ||||
\(621\) | 3.95247 | − | 3.66735i | 0.158607 | − | 0.147166i | ||||
\(622\) | −3.14149 | − | 1.51286i | −0.125962 | − | 0.0606602i | ||||
\(623\) | 5.36424 | − | 19.9458i | 0.214914 | − | 0.799111i | ||||
\(624\) | 4.22908 | − | 2.03662i | 0.169299 | − | 0.0815300i | ||||
\(625\) | 8.99093 | − | 22.9085i | 0.359637 | − | 0.916341i | ||||
\(626\) | 2.32551 | − | 31.0318i | 0.0929462 | − | 1.24028i | ||||
\(627\) | −43.9920 | − | 13.5697i | −1.75687 | − | 0.541923i | ||||
\(628\) | −0.400485 | − | 5.34410i | −0.0159811 | − | 0.213253i | ||||
\(629\) | −7.89296 | + | 34.5813i | −0.314713 | + | 1.37885i | ||||
\(630\) | −0.236237 | + | 0.375199i | −0.00941193 | + | 0.0149483i | ||||
\(631\) | 3.03983 | + | 13.3184i | 0.121014 | + | 0.530196i | 0.998701 | + | 0.0509614i | \(0.0162285\pi\) |
−0.877687 | + | 0.479235i | \(0.840914\pi\) | |||||||
\(632\) | 35.0110 | − | 10.7995i | 1.39266 | − | 0.429580i | ||||
\(633\) | 19.3546 | + | 49.3146i | 0.769275 | + | 1.96008i | ||||
\(634\) | −22.2473 | − | 20.6425i | −0.883552 | − | 0.819817i | ||||
\(635\) | 0.671490 | + | 0.457814i | 0.0266473 | + | 0.0181678i | ||||
\(636\) | 1.36732 | 0.0542177 | ||||||||
\(637\) | 6.82160 | + | 1.57027i | 0.270282 | + | 0.0622165i | ||||
\(638\) | 20.4975 | 0.811504 | ||||||||
\(639\) | 6.04688 | + | 4.12269i | 0.239211 | + | 0.163091i | ||||
\(640\) | −0.417456 | − | 0.387342i | −0.0165014 | − | 0.0153110i | ||||
\(641\) | 8.04691 | + | 20.5032i | 0.317834 | + | 0.809827i | 0.997112 | + | 0.0759462i | \(0.0241977\pi\) |
−0.679278 | + | 0.733881i | \(0.737707\pi\) | |||||||
\(642\) | −21.6910 | + | 6.69078i | −0.856075 | + | 0.264064i | ||||
\(643\) | 6.89370 | + | 30.2033i | 0.271861 | + | 1.19110i | 0.907814 | + | 0.419373i | \(0.137750\pi\) |
−0.635953 | + | 0.771728i | \(0.719393\pi\) | |||||||
\(644\) | 0.238555 | − | 2.09977i | 0.00940040 | − | 0.0827426i | ||||
\(645\) | 0.883672 | − | 3.87162i | 0.0347945 | − | 0.152445i | ||||
\(646\) | 1.95657 | + | 26.1086i | 0.0769801 | + | 1.02723i | ||||
\(647\) | 18.6328 | + | 5.74744i | 0.732529 | + | 0.225955i | 0.638508 | − | 0.769615i | \(-0.279552\pi\) |
0.0940209 | + | 0.995570i | \(0.470028\pi\) | |||||||
\(648\) | −2.49987 | + | 33.3585i | −0.0982044 | + | 1.31045i | ||||
\(649\) | −0.896834 | + | 2.28510i | −0.0352038 | + | 0.0896978i | ||||
\(650\) | 5.26822 | − | 2.53704i | 0.206637 | − | 0.0995109i | ||||
\(651\) | 44.1126 | + | 1.69145i | 1.72891 | + | 0.0662932i | ||||
\(652\) | 5.56861 | + | 2.68170i | 0.218084 | + | 0.105023i | ||||
\(653\) | 28.7045 | − | 26.6338i | 1.12329 | − | 1.04226i | 0.124546 | − | 0.992214i | \(-0.460253\pi\) |
0.998747 | − | 0.0500492i | \(-0.0159378\pi\) | |||||||
\(654\) | −26.7548 | + | 4.03263i | −1.04619 | + | 0.157688i | ||||
\(655\) | 0.724401 | − | 1.25470i | 0.0283047 | − | 0.0490251i | ||||
\(656\) | 7.59571 | + | 13.1562i | 0.296563 | + | 0.513662i | ||||
\(657\) | −0.989051 | − | 1.24023i | −0.0385866 | − | 0.0483860i | ||||
\(658\) | 0.334978 | + | 9.17980i | 0.0130588 | + | 0.357866i | ||||
\(659\) | 12.1312 | − | 15.2121i | 0.472566 | − | 0.592578i | −0.487232 | − | 0.873273i | \(-0.661993\pi\) |
0.959797 | + | 0.280694i | \(0.0905647\pi\) | |||||||
\(660\) | −1.00308 | − | 0.151190i | −0.0390449 | − | 0.00588507i | ||||
\(661\) | 19.9096 | − | 13.5741i | 0.774393 | − | 0.527972i | −0.110439 | − | 0.993883i | \(-0.535226\pi\) |
0.884832 | + | 0.465911i | \(0.154273\pi\) | |||||||
\(662\) | 0.500463 | − | 0.341210i | 0.0194510 | − | 0.0132615i | ||||
\(663\) | −9.58355 | − | 1.44449i | −0.372194 | − | 0.0560992i | ||||
\(664\) | −28.6023 | + | 35.8661i | −1.10998 | + | 1.39188i | ||||
\(665\) | −0.902221 | − | 1.71092i | −0.0349866 | − | 0.0663465i | ||||
\(666\) | −4.66724 | − | 5.85254i | −0.180852 | − | 0.226781i | ||||
\(667\) | 2.18388 | + | 3.78259i | 0.0845600 | + | 0.146462i | ||||
\(668\) | 3.26590 | − | 5.65670i | 0.126361 | − | 0.218864i | ||||
\(669\) | −7.02388 | + | 1.05868i | −0.271559 | + | 0.0409309i | ||||
\(670\) | −0.00502786 | + | 0.00466518i | −0.000194243 | + | 0.000180231i | ||||
\(671\) | −22.0633 | − | 10.6251i | −0.851745 | − | 0.410179i | ||||
\(672\) | 10.3737 | + | 14.0832i | 0.400176 | + | 0.543270i | ||||
\(673\) | 13.1868 | − | 6.35043i | 0.508314 | − | 0.244791i | −0.162106 | − | 0.986773i | \(-0.551829\pi\) |
0.670419 | + | 0.741982i | \(0.266114\pi\) | |||||||
\(674\) | 7.89810 | − | 20.1240i | 0.304224 | − | 0.775149i | ||||
\(675\) | −1.55063 | + | 20.6918i | −0.0596839 | + | 0.796426i | ||||
\(676\) | −0.590543 | − | 0.182158i | −0.0227132 | − | 0.00700610i | ||||
\(677\) | 1.61483 | + | 21.5484i | 0.0620631 | + | 0.828174i | 0.938196 | + | 0.346105i | \(0.112496\pi\) |
−0.876133 | + | 0.482070i | \(0.839885\pi\) | |||||||
\(678\) | −10.5408 | + | 46.1821i | −0.404816 | + | 1.77361i | ||||
\(679\) | 13.5165 | + | 4.74366i | 0.518715 | + | 0.182045i | ||||
\(680\) | 0.543821 | + | 2.38263i | 0.0208546 | + | 0.0913698i | ||||
\(681\) | −25.6308 | + | 7.90605i | −0.982174 | + | 0.302961i | ||||
\(682\) | −18.7635 | − | 47.8085i | −0.718490 | − | 1.83068i | ||||
\(683\) | −1.74966 | − | 1.62345i | −0.0669489 | − | 0.0621195i | 0.645989 | − | 0.763347i | \(-0.276445\pi\) |
−0.712938 | + | 0.701227i | \(0.752636\pi\) | |||||||
\(684\) | 2.04149 | + | 1.39186i | 0.0780582 | + | 0.0532191i | ||||
\(685\) | −1.16441 | −0.0444898 | ||||||||
\(686\) | 0.874479 | − | 21.7546i | 0.0333878 | − | 0.830594i | ||||
\(687\) | −5.71435 | −0.218016 | ||||||||
\(688\) | 24.5677 | + | 16.7500i | 0.936634 | + | 0.638586i | ||||
\(689\) | 0.823068 | + | 0.763696i | 0.0313564 | + | 0.0290945i | ||||
\(690\) | 0.176600 | + | 0.449969i | 0.00672304 | + | 0.0171300i | ||||
\(691\) | −20.4673 | + | 6.31333i | −0.778613 | + | 0.240170i | −0.658491 | − | 0.752589i | \(-0.728805\pi\) |
−0.120122 | + | 0.992759i | \(0.538329\pi\) | |||||||
\(692\) | 2.28784 | + | 10.0237i | 0.0869706 | + | 0.381043i | ||||
\(693\) | −11.3728 | − | 3.99132i | −0.432016 | − | 0.151618i | ||||
\(694\) | −7.81127 | + | 34.2234i | −0.296512 | + | 1.29910i | ||||
\(695\) | 0.188630 | + | 2.51709i | 0.00715515 | + | 0.0954788i | ||||
\(696\) | −19.5842 | − | 6.04093i | −0.742337 | − | 0.228981i | ||||
\(697\) | 2.34402 | − | 31.2788i | 0.0887862 | − | 1.18477i | ||||
\(698\) | 9.20236 | − | 23.4472i | 0.348314 | − | 0.887490i | ||||
\(699\) | 32.9015 | − | 15.8445i | 1.24445 | − | 0.599295i | ||||
\(700\) | 4.82333 | + | 6.54805i | 0.182305 | + | 0.247493i | ||||
\(701\) | 11.1173 | + | 5.35383i | 0.419896 | + | 0.202211i | 0.631887 | − | 0.775060i | \(-0.282280\pi\) |
−0.211991 | + | 0.977272i | \(0.567995\pi\) | |||||||
\(702\) | −3.59503 | + | 3.33570i | −0.135686 | + | 0.125898i | ||||
\(703\) | 32.2915 | − | 4.86716i | 1.21790 | − | 0.183569i | ||||
\(704\) | 22.4652 | − | 38.9109i | 0.846690 | − | 1.46651i | ||||
\(705\) | 0.469793 | + | 0.813706i | 0.0176934 | + | 0.0306459i | ||||
\(706\) | −20.6316 | − | 25.8712i | −0.776481 | − | 0.973677i | ||||
\(707\) | 10.2363 | + | 19.4115i | 0.384975 | + | 0.730043i | ||||
\(708\) | 0.361246 | − | 0.452988i | 0.0135764 | − | 0.0170243i | ||||
\(709\) | −32.3616 | − | 4.87773i | −1.21537 | − | 0.183187i | −0.490107 | − | 0.871662i | \(-0.663042\pi\) |
−0.725260 | + | 0.688476i | \(0.758280\pi\) | |||||||
\(710\) | 1.29984 | − | 0.886219i | 0.0487823 | − | 0.0332592i | ||||
\(711\) | 8.68470 | − | 5.92113i | 0.325702 | − | 0.222060i | ||||
\(712\) | 23.7581 | + | 3.58096i | 0.890373 | + | 0.134202i | ||||
\(713\) | 6.82341 | − | 8.55628i | 0.255539 | − | 0.320435i | ||||
\(714\) | 1.09926 | + | 30.1244i | 0.0411389 | + | 1.12738i | ||||
\(715\) | −0.519368 | − | 0.651267i | −0.0194233 | − | 0.0243560i | ||||
\(716\) | −2.36377 | − | 4.09417i | −0.0883383 | − | 0.153006i | ||||
\(717\) | −2.77845 | + | 4.81242i | −0.103763 | + | 0.179723i | ||||
\(718\) | 31.3744 | − | 4.72893i | 1.17088 | − | 0.176482i | ||||
\(719\) | 0.954707 | − | 0.885838i | 0.0356045 | − | 0.0330362i | −0.662170 | − | 0.749354i | \(-0.730364\pi\) |
0.697774 | + | 0.716318i | \(0.254174\pi\) | |||||||
\(720\) | −0.305939 | − | 0.147332i | −0.0114017 | − | 0.00549075i | ||||
\(721\) | 0.0390928 | + | 0.00149897i | 0.00145589 | + | 5.58247e-5i | ||||
\(722\) | 1.59317 | − | 0.767230i | 0.0592916 | − | 0.0285533i | ||||
\(723\) | 16.6847 | − | 42.5120i | 0.620512 | − | 1.58104i | ||||
\(724\) | −0.907406 | + | 12.1085i | −0.0337235 | + | 0.450008i | ||||
\(725\) | −16.0621 | − | 4.95450i | −0.596531 | − | 0.184005i | ||||
\(726\) | 2.70412 | + | 36.0840i | 0.100359 | + | 1.33920i | ||||
\(727\) | −11.0723 | + | 48.5111i | −0.410651 | + | 1.79918i | 0.170473 | + | 0.985362i | \(0.445470\pi\) |
−0.581124 | + | 0.813815i | \(0.697387\pi\) | |||||||
\(728\) | −0.919189 | + | 8.09073i | −0.0340674 | + | 0.299862i | ||||
\(729\) | −3.35213 | − | 14.6867i | −0.124153 | − | 0.543950i | ||||
\(730\) | −0.325847 | + | 0.100510i | −0.0120601 | + | 0.00372005i | ||||
\(731\) | −22.4298 | − | 57.1501i | −0.829595 | − | 2.11377i | ||||
\(732\) | 4.23697 | + | 3.93134i | 0.156603 | + | 0.145306i | ||||
\(733\) | 32.4708 | + | 22.1382i | 1.19934 | + | 0.817693i | 0.987191 | − | 0.159545i | \(-0.0510026\pi\) |
0.212145 | + | 0.977238i | \(0.431955\pi\) | |||||||
\(734\) | −37.3184 | −1.37745 | ||||||||
\(735\) | −0.962534 | − | 2.00822i | −0.0355036 | − | 0.0740744i | ||||
\(736\) | 4.33627 | 0.159837 | ||||||||
\(737\) | −0.154054 | − | 0.105032i | −0.00567463 | − | 0.00386890i | ||||
\(738\) | 4.85247 | + | 4.50243i | 0.178622 | + | 0.165737i | ||||
\(739\) | −8.20378 | − | 20.9029i | −0.301781 | − | 0.768926i | −0.998661 | − | 0.0517375i | \(-0.983524\pi\) |
0.696880 | − | 0.717188i | \(-0.254571\pi\) | |||||||
\(740\) | 0.687598 | − | 0.212096i | 0.0252766 | − | 0.00779680i | ||||
\(741\) | 1.98551 | + | 8.69909i | 0.0729396 | + | 0.319569i | ||||
\(742\) | 1.86072 | − | 2.95524i | 0.0683092 | − | 0.108490i | ||||
\(743\) | 4.08702 | − | 17.9064i | 0.149938 | − | 0.656922i | −0.842962 | − | 0.537973i | \(-0.819190\pi\) |
0.992900 | − | 0.118949i | \(-0.0379525\pi\) | |||||||
\(744\) | 3.83753 | + | 51.2082i | 0.140691 | + | 1.87739i | ||||
\(745\) | 2.14990 | + | 0.663155i | 0.0787661 | + | 0.0242961i | ||||
\(746\) | −2.57584 | + | 34.3722i | −0.0943082 | + | 1.25846i | ||||
\(747\) | −4.80815 | + | 12.2510i | −0.175921 | + | 0.448239i | ||||
\(748\) | −14.1296 | + | 6.80446i | −0.516630 | + | 0.248796i | ||||
\(749\) | 6.73323 | − | 25.0361i | 0.246027 | − | 0.914797i | ||||
\(750\) | −3.36084 | − | 1.61850i | −0.122721 | − | 0.0590991i | ||||
\(751\) | −36.5479 | + | 33.9115i | −1.33365 | + | 1.23745i | −0.384309 | + | 0.923205i | \(0.625560\pi\) |
−0.949343 | + | 0.314243i | \(0.898249\pi\) | |||||||
\(752\) | −6.95660 | + | 1.04854i | −0.253681 | + | 0.0382363i | ||||
\(753\) | 26.1509 | − | 45.2946i | 0.952990 | − | 1.65063i | ||||
\(754\) | −1.98638 | − | 3.44051i | −0.0723397 | − | 0.125296i | ||||
\(755\) | 1.73748 | + | 2.17873i | 0.0632335 | + | 0.0792923i | ||||
\(756\) | −5.48444 | − | 4.05555i | −0.199467 | − | 0.147499i | ||||
\(757\) | −31.0110 | + | 38.8865i | −1.12711 | + | 1.41335i | −0.229090 | + | 0.973405i | \(0.573575\pi\) |
−0.898023 | + | 0.439949i | \(0.854997\pi\) | |||||||
\(758\) | −14.7314 | − | 2.22040i | −0.535068 | − | 0.0806485i | ||||
\(759\) | −10.8571 | + | 7.40226i | −0.394088 | + | 0.268685i | ||||
\(760\) | 1.85904 | − | 1.26747i | 0.0674343 | − | 0.0459759i | ||||
\(761\) | −15.2445 | − | 2.29773i | −0.552611 | − | 0.0832927i | −0.133200 | − | 0.991089i | \(-0.542525\pi\) |
−0.419411 | + | 0.907796i | \(0.637763\pi\) | |||||||
\(762\) | −7.27043 | + | 9.11684i | −0.263380 | + | 0.330268i | ||||
\(763\) | 12.3839 | − | 28.3126i | 0.448326 | − | 1.02499i | ||||
\(764\) | 2.76061 | + | 3.46169i | 0.0998753 | + | 0.125240i | ||||
\(765\) | 0.350560 | + | 0.607188i | 0.0126745 | + | 0.0219529i | ||||
\(766\) | −3.37394 | + | 5.84383i | −0.121905 | + | 0.211146i | ||||
\(767\) | 0.470465 | − | 0.0709111i | 0.0169875 | − | 0.00256045i | ||||
\(768\) | −19.1683 | + | 17.7856i | −0.691678 | + | 0.641783i | ||||
\(769\) | −11.2022 | − | 5.39472i | −0.403963 | − | 0.194538i | 0.220859 | − | 0.975306i | \(-0.429114\pi\) |
−0.624822 | + | 0.780767i | \(0.714828\pi\) | |||||||
\(770\) | −1.69182 | + | 1.96226i | −0.0609690 | + | 0.0707148i | ||||
\(771\) | 26.9466 | − | 12.9768i | 0.970458 | − | 0.467348i | ||||
\(772\) | −3.11505 | + | 7.93701i | −0.112113 | + | 0.285659i | ||||
\(773\) | 3.09496 | − | 41.2994i | 0.111318 | − | 1.48544i | −0.609762 | − | 0.792585i | \(-0.708735\pi\) |
0.721080 | − | 0.692852i | \(-0.243646\pi\) | |||||||
\(774\) | 12.3809 | + | 3.81900i | 0.445022 | + | 0.137271i | ||||
\(775\) | 3.14737 | + | 41.9987i | 0.113057 | + | 1.50864i | ||||
\(776\) | −3.70793 | + | 16.2455i | −0.133107 | + | 0.583180i | ||||
\(777\) | 37.3663 | − | 4.17516i | 1.34051 | − | 0.149783i | ||||
\(778\) | 2.32092 | + | 10.1686i | 0.0832090 | + | 0.364562i | ||||
\(779\) | −27.5948 | + | 8.51187i | −0.988686 | + | 0.304969i | ||||
\(780\) | 0.0718297 | + | 0.183019i | 0.00257192 | + | 0.00655314i | ||||
\(781\) | 31.3500 | + | 29.0885i | 1.12179 | + | 1.04087i | ||||
\(782\) | 6.17453 | + | 4.20972i | 0.220801 | + | 0.150539i | ||||
\(783\) | 14.0978 | 0.503814 | ||||||||
\(784\) | 16.6302 | − | 1.21532i | 0.593936 | − | 0.0434042i | ||||
\(785\) | −1.40004 | −0.0499695 | ||||||||
\(786\) | 17.1756 | + | 11.7101i | 0.612633 | + | 0.417686i | ||||
\(787\) | −31.4059 | − | 29.1404i | −1.11950 | − | 1.03874i | −0.998940 | − | 0.0460370i | \(-0.985341\pi\) |
−0.120559 | − | 0.992706i | \(-0.538469\pi\) | |||||||
\(788\) | 0.460813 | + | 1.17413i | 0.0164158 | + | 0.0418267i | ||||
\(789\) | −30.9837 | + | 9.55720i | −1.10305 | + | 0.340245i | ||||
\(790\) | −0.502782 | − | 2.20283i | −0.0178882 | − | 0.0783732i | ||||
\(791\) | −38.2207 | − | 38.2915i | −1.35897 | − | 1.36149i | ||||
\(792\) | 3.11986 | − | 13.6690i | 0.110859 | − | 0.485706i | ||||
\(793\) | 0.354689 | + | 4.73300i | 0.0125954 | + | 0.168074i | ||||
\(794\) | −10.5593 | − | 3.25713i | −0.374737 | − | 0.115591i | ||||
\(795\) | 0.0266940 | − | 0.356207i | 0.000946740 | − | 0.0126334i | ||||
\(796\) | −0.159522 | + | 0.406455i | −0.00565410 | + | 0.0144064i | ||||
\(797\) | −13.9243 | + | 6.70560i | −0.493225 | + | 0.237524i | −0.663926 | − | 0.747798i | \(-0.731111\pi\) |
0.170701 | + | 0.985323i | \(0.445397\pi\) | |||||||
\(798\) | 25.4473 | − | 11.0745i | 0.900825 | − | 0.392034i | ||||
\(799\) | 13.0874 | + | 6.30255i | 0.462998 | + | 0.222968i | ||||
\(800\) | −12.2329 | + | 11.3505i | −0.432500 | + | 0.401301i | ||||
\(801\) | 6.81585 | − | 1.02732i | 0.240826 | − | 0.0362987i | ||||
\(802\) | −0.616851 | + | 1.06842i | −0.0217818 | + | 0.0377271i | ||||
\(803\) | −4.63486 | − | 8.02781i | −0.163561 | − | 0.283295i | ||||
\(804\) | 0.0274382 | + | 0.0344064i | 0.000967670 | + | 0.00121342i | ||||
\(805\) | −0.542365 | − | 0.103141i | −0.0191159 | − | 0.00363524i | ||||
\(806\) | −6.20634 | + | 7.78250i | −0.218609 | + | 0.274127i | ||||
\(807\) | −21.8852 | − | 3.29867i | −0.770397 | − | 0.116119i | ||||
\(808\) | −21.0920 | + | 14.3803i | −0.742014 | + | 0.505896i | ||||
\(809\) | −29.6758 | + | 20.2326i | −1.04335 | + | 0.711342i | −0.958512 | − | 0.285053i | \(-0.907989\pi\) |
−0.0848350 | + | 0.996395i | \(0.527036\pi\) | |||||||
\(810\) | 2.03992 | + | 0.307468i | 0.0716754 | + | 0.0108033i | ||||
\(811\) | 15.6202 | − | 19.5871i | 0.548500 | − | 0.687797i | −0.427886 | − | 0.903833i | \(-0.640741\pi\) |
0.976385 | + | 0.216036i | \(0.0693128\pi\) | |||||||
\(812\) | 4.19154 | − | 3.60037i | 0.147094 | − | 0.126348i | ||||
\(813\) | 33.8597 | + | 42.4588i | 1.18751 | + | 1.48909i | ||||
\(814\) | −21.8715 | − | 37.8825i | −0.766595 | − | 1.32778i | ||||
\(815\) | 0.807339 | − | 1.39835i | 0.0282799 | − | 0.0489822i | ||||
\(816\) | −22.8288 | + | 3.44088i | −0.799166 | + | 0.120455i | ||||
\(817\) | −41.4341 | + | 38.4453i | −1.44960 | + | 1.34503i | ||||
\(818\) | −13.7260 | − | 6.61009i | −0.479918 | − | 0.231116i | ||||
\(819\) | 0.432173 | + | 2.29572i | 0.0151014 | + | 0.0802189i | ||||
\(820\) | −0.573294 | + | 0.276084i | −0.0200203 | + | 0.00964127i | ||||
\(821\) | 5.51167 | − | 14.0435i | 0.192359 | − | 0.490122i | −0.801858 | − | 0.597515i | \(-0.796155\pi\) |
0.994217 | + | 0.107393i | \(0.0342502\pi\) | |||||||
\(822\) | 1.24853 | − | 16.6605i | 0.0435475 | − | 0.581101i | ||||
\(823\) | 8.56181 | + | 2.64097i | 0.298446 | + | 0.0920584i | 0.440362 | − | 0.897820i | \(-0.354850\pi\) |
−0.141916 | + | 0.989879i | \(0.545326\pi\) | |||||||
\(824\) | 0.00340084 | + | 0.0453810i | 0.000118474 | + | 0.00158092i | ||||
\(825\) | 11.2528 | − | 49.3017i | 0.391772 | − | 1.71646i | ||||
\(826\) | −0.487460 | − | 1.39723i | −0.0169609 | − | 0.0486157i | ||||
\(827\) | −2.14491 | − | 9.39748i | −0.0745860 | − | 0.326782i | 0.923846 | − | 0.382765i | \(-0.125028\pi\) |
−0.998432 | + | 0.0559824i | \(0.982171\pi\) | |||||||
\(828\) | 0.673912 | − | 0.207874i | 0.0234201 | − | 0.00722414i | ||||
\(829\) | −2.39798 | − | 6.10995i | −0.0832853 | − | 0.212208i | 0.883164 | − | 0.469064i | \(-0.155409\pi\) |
−0.966450 | + | 0.256856i | \(0.917313\pi\) | |||||||
\(830\) | 2.07383 | + | 1.92424i | 0.0719838 | + | 0.0667912i | ||||
\(831\) | 51.2037 | + | 34.9101i | 1.77624 | + | 1.21102i | ||||
\(832\) | −8.70828 | −0.301905 | ||||||||
\(833\) | −29.7843 | − | 17.2696i | −1.03197 | − | 0.598355i | ||||
\(834\) | −36.2170 | −1.25409 | ||||||||
\(835\) | −1.40990 | − | 0.961252i | −0.0487915 | − | 0.0332655i | ||||
\(836\) | 10.5841 | + | 9.82058i | 0.366057 | + | 0.339652i | ||||
\(837\) | −12.9052 | − | 32.8818i | −0.446068 | − | 1.13656i | ||||
\(838\) | −2.91153 | + | 0.898089i | −0.100577 | + | 0.0310240i | ||||
\(839\) | 0.925591 | + | 4.05528i | 0.0319549 | + | 0.140004i | 0.988389 | − | 0.151945i | \(-0.0485536\pi\) |
−0.956434 | + | 0.291948i | \(0.905696\pi\) | |||||||
\(840\) | 2.19475 | − | 1.37622i | 0.0757260 | − | 0.0474841i | ||||
\(841\) | 3.91186 | − | 17.1390i | 0.134892 | − | 0.590999i | ||||
\(842\) | 1.13135 | + | 15.0968i | 0.0389888 | + | 0.520269i | ||||
\(843\) | −25.9160 | − | 7.99401i | −0.892593 | − | 0.275328i | ||||
\(844\) | 1.24162 | − | 16.5682i | 0.0427383 | − | 0.570302i | ||||
\(845\) | −0.0589842 | + | 0.150289i | −0.00202912 | + | 0.00517011i | ||||
\(846\) | −2.76194 | + | 1.33008i | −0.0949575 | + | 0.0457291i | ||||
\(847\) | −36.5209 | − | 19.3451i | −1.25487 | − | 0.664707i | ||||
\(848\) | 2.40972 | + | 1.16046i | 0.0827502 | + | 0.0398504i | ||||
\(849\) | −5.20618 | + | 4.83063i | −0.178676 | + | 0.165787i | ||||
\(850\) | −28.4381 | + | 4.28635i | −0.975418 | + | 0.147021i | ||||
\(851\) | 4.66053 | − | 8.07227i | 0.159761 | − | 0.276714i | ||||
\(852\) | −5.04699 | − | 8.74165i | −0.172907 | − | 0.299484i | ||||
\(853\) | 0.525407 | + | 0.658839i | 0.0179896 | + | 0.0225582i | 0.790745 | − | 0.612146i | \(-0.209693\pi\) |
−0.772755 | + | 0.634704i | \(0.781122\pi\) | |||||||
\(854\) | 14.2629 | − | 3.80758i | 0.488065 | − | 0.130293i | ||||
\(855\) | 0.402457 | − | 0.504665i | 0.0137637 | − | 0.0172592i | ||||
\(856\) | 29.8213 | + | 4.49484i | 1.01927 | + | 0.153630i | ||||
\(857\) | 20.7577 | − | 14.1524i | 0.709069 | − | 0.483435i | −0.154290 | − | 0.988026i | \(-0.549309\pi\) |
0.863359 | + | 0.504590i | \(0.168356\pi\) | |||||||
\(858\) | 9.87526 | − | 6.73284i | 0.337136 | − | 0.229855i | ||||
\(859\) | 29.4319 | + | 4.43615i | 1.00420 | + | 0.151359i | 0.630501 | − | 0.776189i | \(-0.282850\pi\) |
0.373704 | + | 0.927548i | \(0.378088\pi\) | |||||||
\(860\) | −0.776528 | + | 0.973735i | −0.0264794 | + | 0.0332041i | ||||
\(861\) | −32.1235 | + | 8.57562i | −1.09477 | + | 0.292256i | ||||
\(862\) | −17.9386 | − | 22.4943i | −0.610991 | − | 0.766159i | ||||
\(863\) | −25.4012 | − | 43.9962i | −0.864667 | − | 1.49765i | −0.867377 | − | 0.497651i | \(-0.834196\pi\) |
0.00271035 | − | 0.999996i | \(-0.499137\pi\) | |||||||
\(864\) | 6.99809 | − | 12.1210i | 0.238080 | − | 0.412366i | ||||
\(865\) | 2.65599 | − | 0.400326i | 0.0903063 | − | 0.0136115i | ||||
\(866\) | 20.7527 | − | 19.2557i | 0.705206 | − | 0.654335i | ||||
\(867\) | 12.7661 | + | 6.14785i | 0.433561 | + | 0.208792i | ||||
\(868\) | −12.2345 | − | 6.48060i | −0.415265 | − | 0.219966i | ||||
\(869\) | 55.3396 | − | 26.6501i | 1.87727 | − | 0.904044i | ||||
\(870\) | −0.461752 | + | 1.17652i | −0.0156548 | + | 0.0398879i | ||||
\(871\) | −0.00270055 | + | 0.0360364i | −9.15048e−5 | + | 0.00122105i | ||||
\(872\) | 34.3504 | + | 10.5957i | 1.16325 | + | 0.358816i | ||||
\(873\) | 0.357244 | + | 4.76708i | 0.0120909 | + | 0.161341i | ||||
\(874\) | 1.53097 | − | 6.70761i | 0.0517858 | − | 0.226888i | ||||
\(875\) | 3.60950 | − | 2.26334i | 0.122023 | − | 0.0765150i | ||||
\(876\) | 0.486852 | + | 2.13304i | 0.0164492 | + | 0.0720687i | ||||
\(877\) | −22.1397 | + | 6.82919i | −0.747604 | + | 0.230605i | −0.645069 | − | 0.764124i | \(-0.723172\pi\) |
−0.102535 | + | 0.994729i | \(0.532695\pi\) | |||||||
\(878\) | 10.3096 | + | 26.2683i | 0.347931 | + | 0.886513i | ||||
\(879\) | 40.0709 | + | 37.1804i | 1.35156 | + | 1.25406i | ||||
\(880\) | −1.63948 | − | 1.11778i | −0.0552670 | − | 0.0376804i | ||||
\(881\) | −38.2834 | −1.28980 | −0.644901 | − | 0.764266i | \(-0.723101\pi\) | ||||
−0.644901 | + | 0.764266i | \(0.723101\pi\) | |||||||
\(882\) | 6.76845 | − | 2.64198i | 0.227906 | − | 0.0889599i | ||||
\(883\) | 24.6944 | 0.831034 | 0.415517 | − | 0.909585i | \(-0.363601\pi\) | ||||
0.415517 | + | 0.909585i | \(0.363601\pi\) | |||||||
\(884\) | 2.51141 | + | 1.71225i | 0.0844678 | + | 0.0575892i | ||||
\(885\) | −0.110958 | − | 0.102954i | −0.00372980 | − | 0.00346075i | ||||
\(886\) | 5.21189 | + | 13.2797i | 0.175097 | + | 0.446140i | ||||
\(887\) | −8.53547 | + | 2.63284i | −0.286593 | + | 0.0884023i | −0.434719 | − | 0.900566i | \(-0.643152\pi\) |
0.148126 | + | 0.988969i | \(0.452676\pi\) | |||||||
\(888\) | 9.73241 | + | 42.6405i | 0.326598 | + | 1.43092i | ||||
\(889\) | −4.38709 | − | 12.5749i | −0.147138 | − | 0.421748i | ||||
\(890\) | 0.329707 | − | 1.44454i | 0.0110518 | − | 0.0484212i | ||||
\(891\) | 4.19086 | + | 55.9231i | 0.140399 | + | 1.87350i | ||||
\(892\) | 2.12876 | + | 0.656635i | 0.0712761 | + | 0.0219858i | ||||
\(893\) | 0.999391 | − | 13.3360i | 0.0334434 | − | 0.446271i | ||||
\(894\) | −11.7937 | + | 30.0498i | −0.394440 | + | 1.00502i | ||||
\(895\) | −1.11274 | + | 0.535868i | −0.0371949 | + | 0.0179121i | ||||
\(896\) | 1.72649 | + | 9.17118i | 0.0576781 | + | 0.306388i | ||||
\(897\) | 2.29462 | + | 1.10503i | 0.0766150 | + | 0.0368958i | ||||
\(898\) | 23.5158 | − | 21.8195i | 0.784733 | − | 0.728126i | ||||
\(899\) | 28.2952 | − | 4.26481i | 0.943696 | − | 0.142239i | ||||
\(900\) | −1.35703 | + | 2.35045i | −0.0452344 | + | 0.0783482i | ||||
\(901\) | −2.76118 | − | 4.78251i | −0.0919883 | − | 0.159328i | ||||
\(902\) | 24.1176 | + | 30.2425i | 0.803029 | + | 1.00697i | ||||
\(903\) | −49.3663 | + | 42.4037i | −1.64281 | + | 1.41111i | ||||
\(904\) | 39.2392 | − | 49.2044i | 1.30508 | − | 1.63651i | ||||
\(905\) | 3.13673 | + | 0.472786i | 0.104268 | + | 0.0157159i | ||||
\(906\) | −33.0365 | + | 22.5239i | −1.09756 | + | 0.748307i | ||||
\(907\) | −33.7611 | + | 23.0179i | −1.12102 | + | 0.764298i | −0.974384 | − | 0.224892i | \(-0.927797\pi\) |
−0.146636 | + | 0.989191i | \(0.546845\pi\) | |||||||
\(908\) | 8.31817 | + | 1.25376i | 0.276048 | + | 0.0416076i | ||||
\(909\) | −4.56614 | + | 5.72576i | −0.151449 | + | 0.189911i | ||||
\(910\) | 0.493317 | + | 0.0938135i | 0.0163533 | + | 0.00310989i | ||||
\(911\) | −26.1129 | − | 32.7446i | −0.865160 | − | 1.08488i | −0.995626 | − | 0.0934231i | \(-0.970219\pi\) |
0.130467 | − | 0.991453i | \(-0.458352\pi\) | |||||||
\(912\) | 10.6274 | + | 18.4072i | 0.351909 | + | 0.609524i | ||||
\(913\) | −38.4526 | + | 66.6019i | −1.27260 | + | 2.20420i | ||||
\(914\) | 5.18759 | − | 0.781904i | 0.171590 | − | 0.0258631i | ||||
\(915\) | 1.10689 | − | 1.02705i | 0.0365927 | − | 0.0339531i | ||||
\(916\) | 1.61467 | + | 0.777586i | 0.0533503 | + | 0.0256921i | ||||
\(917\) | −21.7700 | + | 9.47417i | −0.718907 | + | 0.312865i | ||||
\(918\) | 21.7321 | − | 10.4656i | 0.717265 | − | 0.345417i | ||||
\(919\) | −0.941590 | + | 2.39913i | −0.0310602 | + | 0.0791401i | −0.945562 | − | 0.325441i | \(-0.894487\pi\) |
0.914502 | + | 0.404581i | \(0.132583\pi\) | |||||||
\(920\) | 0.0479928 | − | 0.640420i | 0.00158228 | − | 0.0211140i | ||||
\(921\) | −28.8786 | − | 8.90785i | −0.951581 | − | 0.293524i | ||||
\(922\) | −1.41689 | − | 18.9071i | −0.0466628 | − | 0.622671i | ||||
\(923\) | 1.84444 | − | 8.08103i | 0.0607106 | − | 0.265990i | ||||
\(924\) | 11.7438 | + | 11.7656i | 0.386343 | + | 0.387058i | ||||
\(925\) | 7.98208 | + | 34.9718i | 0.262449 | + | 1.14987i | ||||
\(926\) | −28.7127 | + | 8.85668i | −0.943557 | + | 0.291049i | ||||
\(927\) | 0.00476976 | + | 0.0121532i | 0.000156660 | + | 0.000399162i | ||||
\(928\) | 8.31130 | + | 7.71176i | 0.272832 | + | 0.253151i | ||||
\(929\) | 41.0474 | + | 27.9856i | 1.34672 | + | 0.918179i | 0.999806 | − | 0.0197173i | \(-0.00627661\pi\) |
0.346916 | + | 0.937896i | \(0.387229\pi\) | |||||||
\(930\) | 3.16682 | 0.103844 | ||||||||
\(931\) | −4.78220 | + | 31.3342i | −0.156730 | + | 1.02694i | ||||
\(932\) | −11.4529 | −0.375151 | ||||||||
\(933\) | 4.82900 | + | 3.29236i | 0.158094 | + | 0.107787i | ||||
\(934\) | 18.0044 | + | 16.7057i | 0.589123 | + | 0.546626i | ||||
\(935\) | 1.49682 | + | 3.81382i | 0.0489511 | + | 0.124725i | ||||
\(936\) | −2.59668 | + | 0.800971i | −0.0848753 | + | 0.0261806i | ||||
\(937\) | 3.89694 | + | 17.0736i | 0.127307 | + | 0.557770i | 0.997842 | + | 0.0656628i | \(0.0209162\pi\) |
−0.870534 | + | 0.492108i | \(0.836227\pi\) | |||||||
\(938\) | 0.111703 | − | 0.0124813i | 0.00364724 | − | 0.000407528i | ||||
\(939\) | −11.6070 | + | 50.8536i | −0.378781 | + | 1.65955i | ||||
\(940\) | −0.0220211 | − | 0.293852i | −0.000718250 | − | 0.00958438i | ||||
\(941\) | −12.0460 | − | 3.71571i | −0.392689 | − | 0.121129i | 0.0921214 | − | 0.995748i | \(-0.470635\pi\) |
−0.484810 | + | 0.874619i | \(0.661111\pi\) | |||||||
\(942\) | 1.50118 | − | 20.0319i | 0.0489111 | − | 0.652673i | ||||
\(943\) | −3.01135 | + | 7.67279i | −0.0980630 | + | 0.249860i | ||||
\(944\) | 1.02111 | − | 0.491739i | 0.0332342 | − | 0.0160047i | ||||
\(945\) | −1.16360 | + | 1.34960i | −0.0378520 | + | 0.0439026i | ||||
\(946\) | 68.2142 | + | 32.8502i | 2.21784 | + | 1.06805i | ||||
\(947\) | 18.1936 | − | 16.8812i | 0.591213 | − | 0.548565i | −0.326812 | − | 0.945090i | \(-0.605974\pi\) |
0.918024 | + | 0.396524i | \(0.129784\pi\) | |||||||
\(948\) | −14.3353 | + | 2.16070i | −0.465590 | + | 0.0701764i | ||||
\(949\) | −0.898313 | + | 1.55592i | −0.0291605 | + | 0.0505074i | ||||
\(950\) | 13.2387 | + | 22.9301i | 0.429520 | + | 0.743951i | ||||
\(951\) | 31.7174 | + | 39.7724i | 1.02851 | + | 1.28971i | ||||
\(952\) | 16.0494 | − | 36.6930i | 0.520165 | − | 1.18923i | ||||
\(953\) | 19.5337 | − | 24.4945i | 0.632759 | − | 0.793455i | −0.357317 | − | 0.933983i | \(-0.616309\pi\) |
0.990077 | + | 0.140528i | \(0.0448800\pi\) | |||||||
\(954\) | 1.15241 | + | 0.173699i | 0.0373108 | + | 0.00562370i | ||||
\(955\) | 0.955719 | − | 0.651598i | 0.0309264 | − | 0.0210852i | ||||
\(956\) | 1.43995 | − | 0.981738i | 0.0465712 | − | 0.0317517i | ||||
\(957\) | −33.9742 | − | 5.12078i | −1.09823 | − | 0.165531i | ||||
\(958\) | −5.30609 | + | 6.65363i | −0.171432 | + | 0.214969i | ||||
\(959\) | 15.3426 | + | 11.3453i | 0.495439 | + | 0.366360i | ||||
\(960\) | 1.72735 | + | 2.16602i | 0.0557498 | + | 0.0699081i | ||||
\(961\) | −20.3487 | − | 35.2451i | −0.656411 | − | 1.13694i | ||||
\(962\) | −4.23906 | + | 7.34227i | −0.136673 | + | 0.236724i | ||||
\(963\) | 8.55529 | − | 1.28950i | 0.275690 | − | 0.0415536i | ||||
\(964\) | −10.4994 | + | 9.74199i | −0.338162 | + | 0.313769i | ||||
\(965\) | 2.00690 | + | 0.966471i | 0.0646043 | + | 0.0311118i | ||||
\(966\) | 2.05730 | − | 7.64961i | 0.0661924 | − | 0.246122i | ||||
\(967\) | −45.5853 | + | 21.9527i | −1.46593 | + | 0.705952i | −0.985278 | − | 0.170961i | \(-0.945313\pi\) |
−0.480648 | + | 0.876914i | \(0.659598\pi\) | |||||||
\(968\) | 17.5638 | − | 44.7519i | 0.564522 | − | 1.43838i | ||||
\(969\) | 3.27960 | − | 43.7632i | 0.105356 | − | 1.40588i | ||||
\(970\) | 0.981957 | + | 0.302894i | 0.0315287 | + | 0.00972533i | ||||
\(971\) | 0.799491 | + | 10.6685i | 0.0256569 | + | 0.342367i | 0.995229 | + | 0.0975629i | \(0.0311047\pi\) |
−0.969572 | + | 0.244804i | \(0.921276\pi\) | |||||||
\(972\) | 1.22431 | − | 5.36405i | 0.0392698 | − | 0.172052i | ||||
\(973\) | 22.0396 | − | 35.0039i | 0.706558 | − | 1.12217i | ||||
\(974\) | −5.33970 | − | 23.3948i | −0.171095 | − | 0.749617i | ||||
\(975\) | −9.36579 | + | 2.88896i | −0.299945 | + | 0.0925208i | ||||
\(976\) | 4.13054 | + | 10.5244i | 0.132215 | + | 0.336879i | ||||
\(977\) | 0.201367 | + | 0.186841i | 0.00644229 | + | 0.00597757i | 0.683387 | − | 0.730056i | \(-0.260506\pi\) |
−0.676945 | + | 0.736034i | \(0.736697\pi\) | |||||||
\(978\) | 19.1421 | + | 13.0508i | 0.612096 | + | 0.417320i | ||||
\(979\) | 40.2786 | 1.28731 | ||||||||
\(980\) | −0.00129253 | + | 0.698429i | −4.12884e−5 | + | 0.0223105i | ||||
\(981\) | 10.3128 | 0.329262 | ||||||||
\(982\) | 24.4462 | + | 16.6671i | 0.780110 | + | 0.531870i | ||||
\(983\) | 7.16950 | + | 6.65232i | 0.228672 | + | 0.212176i | 0.786184 | − | 0.617992i | \(-0.212054\pi\) |
−0.557513 | + | 0.830168i | \(0.688244\pi\) | |||||||
\(984\) | −14.1301 | − | 36.0029i | −0.450451 | − | 1.14773i | ||||
\(985\) | 0.314876 | − | 0.0971263i | 0.0100328 | − | 0.00309470i | ||||
\(986\) | 4.34797 | + | 19.0497i | 0.138468 | + | 0.606667i | ||||
\(987\) | 1.73812 | − | 15.2990i | 0.0553251 | − | 0.486973i | ||||
\(988\) | 0.622702 | − | 2.72823i | 0.0198108 | − | 0.0867967i | ||||
\(989\) | 1.20564 | + | 16.0882i | 0.0383371 | + | 0.511574i | ||||
\(990\) | −0.826219 | − | 0.254855i | −0.0262590 | − | 0.00809982i | ||||
\(991\) | 4.20783 | − | 56.1496i | 0.133666 | − | 1.78365i | −0.379332 | − | 0.925261i | \(-0.623846\pi\) |
0.512998 | − | 0.858390i | \(-0.328535\pi\) | |||||||
\(992\) | 10.3788 | − | 26.4447i | 0.329527 | − | 0.839620i | ||||
\(993\) | −0.914749 | + | 0.440520i | −0.0290287 | + | 0.0139795i | ||||
\(994\) | −25.7619 | − | 0.987815i | −0.817119 | − | 0.0313316i | ||||
\(995\) | 0.102773 | + | 0.0494930i | 0.00325813 | + | 0.00156903i | ||||
\(996\) | 13.3061 | − | 12.3463i | 0.421620 | − | 0.391206i | ||||
\(997\) | 24.2428 | − | 3.65401i | 0.767776 | − | 0.115724i | 0.246536 | − | 0.969134i | \(-0.420708\pi\) |
0.521240 | + | 0.853410i | \(0.325470\pi\) | |||||||
\(998\) | 11.1257 | − | 19.2703i | 0.352178 | − | 0.609991i | ||||
\(999\) | −15.0428 | − | 26.0549i | −0.475933 | − | 0.824340i |
(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 | 637.2.bl.a.53.10 | ✓ | 324 | |
49.37 | even | 21 | inner | 637.2.bl.a.625.10 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.53.10 | ✓ | 324 | 1.1 | even | 1 | trivial | |
637.2.bl.a.625.10 | yes | 324 | 49.37 | even | 21 | inner |