Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 282.4 | ||
Character | \(\chi\) | \(=\) | 605.282 |
Dual form | 605.2.m.c.118.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.50409 | − | 0.396609i | 1.77066 | − | 0.280445i | 0.815980 | − | 0.578081i | \(-0.196198\pi\) |
0.954679 | + | 0.297636i | \(0.0961981\pi\) | |||||||
\(3\) | 0.910200 | + | 1.78637i | 0.525504 | + | 1.03136i | 0.989365 | + | 0.145452i | \(0.0464638\pi\) |
−0.463861 | + | 0.885908i | \(0.653536\pi\) | |||||||
\(4\) | 4.21106 | − | 1.36825i | 2.10553 | − | 0.684127i | ||||
\(5\) | −0.509700 | + | 2.17720i | −0.227945 | + | 0.973674i | ||||
\(6\) | 2.98771 | + | 4.11224i | 1.21973 | + | 1.67881i | ||||
\(7\) | −1.61096 | − | 0.820825i | −0.608885 | − | 0.310243i | 0.122224 | − | 0.992502i | \(-0.460997\pi\) |
−0.731110 | + | 0.682260i | \(0.760997\pi\) | |||||||
\(8\) | 5.48426 | − | 2.79437i | 1.93898 | − | 0.987958i | ||||
\(9\) | −0.599293 | + | 0.824856i | −0.199764 | + | 0.274952i | ||||
\(10\) | −0.412838 | + | 5.65406i | −0.130551 | + | 1.78797i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 6.27711 | + | 6.27711i | 1.81205 | + | 1.81205i | ||||
\(13\) | −0.352884 | − | 2.22802i | −0.0978725 | − | 0.617943i | −0.987054 | − | 0.160388i | \(-0.948725\pi\) |
0.889181 | − | 0.457555i | \(-0.151275\pi\) | |||||||
\(14\) | −4.35953 | − | 1.41650i | −1.16513 | − | 0.378575i | ||||
\(15\) | −4.35321 | + | 1.07118i | −1.12400 | + | 0.276577i | ||||
\(16\) | 5.46052 | − | 3.96730i | 1.36513 | − | 0.991826i | ||||
\(17\) | 0.526252 | − | 3.32262i | 0.127635 | − | 0.805854i | −0.837946 | − | 0.545753i | \(-0.816244\pi\) |
0.965581 | − | 0.260102i | \(-0.0837561\pi\) | |||||||
\(18\) | −1.17354 | + | 2.30320i | −0.276606 | + | 0.542869i | ||||
\(19\) | −0.403535 | + | 1.24195i | −0.0925772 | + | 0.284923i | −0.986615 | − | 0.163069i | \(-0.947861\pi\) |
0.894037 | + | 0.447992i | \(0.147861\pi\) | |||||||
\(20\) | 0.832591 | + | 9.86572i | 0.186173 | + | 2.20604i | ||||
\(21\) | − | 3.62488i | − | 0.791014i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.16488 | + | 3.16488i | −0.659922 | + | 0.659922i | −0.955362 | − | 0.295439i | \(-0.904534\pi\) |
0.295439 | + | 0.955362i | \(0.404534\pi\) | |||||||
\(24\) | 9.98354 | + | 7.25347i | 2.03788 | + | 1.48061i | ||||
\(25\) | −4.48041 | − | 2.21944i | −0.896082 | − | 0.443888i | ||||
\(26\) | −1.76731 | − | 5.43922i | −0.346598 | − | 1.06672i | ||||
\(27\) | 3.92164 | + | 0.621127i | 0.754720 | + | 0.119536i | ||||
\(28\) | −7.90694 | − | 1.25234i | −1.49427 | − | 0.236669i | ||||
\(29\) | −0.907432 | − | 2.79279i | −0.168506 | − | 0.518608i | 0.830772 | − | 0.556614i | \(-0.187900\pi\) |
−0.999278 | + | 0.0380055i | \(0.987900\pi\) | |||||||
\(30\) | −10.4760 | + | 4.40885i | −1.91265 | + | 0.804942i | ||||
\(31\) | 3.24439 | + | 2.35719i | 0.582710 | + | 0.423363i | 0.839700 | − | 0.543051i | \(-0.182731\pi\) |
−0.256990 | + | 0.966414i | \(0.582731\pi\) | |||||||
\(32\) | 3.39552 | − | 3.39552i | 0.600248 | − | 0.600248i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 8.52886i | − | 1.46269i | ||||||
\(35\) | 2.60821 | − | 3.08901i | 0.440867 | − | 0.522138i | ||||
\(36\) | −1.39504 | + | 4.29350i | −0.232507 | + | 0.715584i | ||||
\(37\) | 1.45682 | − | 2.85918i | 0.239500 | − | 0.470046i | −0.739701 | − | 0.672935i | \(-0.765033\pi\) |
0.979202 | + | 0.202889i | \(0.0650332\pi\) | |||||||
\(38\) | −0.517918 | + | 3.27001i | −0.0840174 | + | 0.530465i | ||||
\(39\) | 3.65888 | − | 2.65833i | 0.585889 | − | 0.425674i | ||||
\(40\) | 3.28858 | + | 13.3646i | 0.519969 | + | 2.11313i | ||||
\(41\) | 1.23988 | + | 0.402861i | 0.193637 | + | 0.0629163i | 0.404230 | − | 0.914657i | \(-0.367540\pi\) |
−0.210593 | + | 0.977574i | \(0.567540\pi\) | |||||||
\(42\) | −1.43766 | − | 9.07703i | −0.221836 | − | 1.40062i | ||||
\(43\) | −4.55431 | − | 4.55431i | −0.694526 | − | 0.694526i | 0.268698 | − | 0.963224i | \(-0.413407\pi\) |
−0.963224 | + | 0.268698i | \(0.913407\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.49042 | − | 1.72521i | −0.222178 | − | 0.257179i | ||||
\(46\) | −6.66992 | + | 9.18035i | −0.983426 | + | 1.35357i | ||||
\(47\) | 6.88180 | − | 3.50645i | 1.00381 | − | 0.511469i | 0.126797 | − | 0.991929i | \(-0.459530\pi\) |
0.877017 | + | 0.480460i | \(0.159530\pi\) | |||||||
\(48\) | 12.0572 | + | 6.14347i | 1.74031 | + | 0.886734i | ||||
\(49\) | −2.19306 | − | 3.01849i | −0.313294 | − | 0.431213i | ||||
\(50\) | −12.0996 | − | 3.78071i | −1.71114 | − | 0.534673i | ||||
\(51\) | 6.41442 | − | 2.08417i | 0.898199 | − | 0.291843i | ||||
\(52\) | −4.53452 | − | 8.89950i | −0.628825 | − | 1.23414i | ||||
\(53\) | −6.29058 | + | 0.996331i | −0.864078 | + | 0.136857i | −0.572714 | − | 0.819756i | \(-0.694109\pi\) |
−0.291365 | + | 0.956612i | \(0.594109\pi\) | |||||||
\(54\) | 10.0665 | 1.36988 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −11.1286 | −1.48712 | ||||||||
\(57\) | −2.58588 | + | 0.409564i | −0.342509 | + | 0.0542480i | ||||
\(58\) | −3.37994 | − | 6.63350i | −0.443808 | − | 0.871021i | ||||
\(59\) | −11.7815 | + | 3.82803i | −1.53382 | + | 0.498368i | −0.949663 | − | 0.313274i | \(-0.898574\pi\) |
−0.584155 | + | 0.811642i | \(0.698574\pi\) | |||||||
\(60\) | −16.8660 | + | 10.4671i | −2.17739 | + | 1.35130i | ||||
\(61\) | 5.47229 | + | 7.53196i | 0.700655 | + | 0.964369i | 0.999948 | + | 0.0102078i | \(0.00324931\pi\) |
−0.299293 | + | 0.954161i | \(0.596751\pi\) | |||||||
\(62\) | 9.05913 | + | 4.61586i | 1.15051 | + | 0.586214i | ||||
\(63\) | 1.64250 | − | 0.836895i | 0.206935 | − | 0.105439i | ||||
\(64\) | −0.778618 | + | 1.07168i | −0.0973272 | + | 0.133959i | ||||
\(65\) | 5.03072 | + | 0.367324i | 0.623984 | + | 0.0455609i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.46236 | − | 2.46236i | −0.300825 | − | 0.300825i | 0.540512 | − | 0.841336i | \(-0.318231\pi\) |
−0.841336 | + | 0.540512i | \(0.818231\pi\) | |||||||
\(68\) | −2.33012 | − | 14.7118i | −0.282569 | − | 1.78407i | ||||
\(69\) | −8.53431 | − | 2.77296i | −1.02741 | − | 0.333826i | ||||
\(70\) | 5.30606 | − | 8.76959i | 0.634195 | − | 1.04817i | ||||
\(71\) | 5.47805 | − | 3.98004i | 0.650125 | − | 0.472344i | −0.213188 | − | 0.977011i | \(-0.568385\pi\) |
0.863314 | + | 0.504667i | \(0.168385\pi\) | |||||||
\(72\) | −0.981725 | + | 6.19837i | −0.115697 | + | 0.730485i | ||||
\(73\) | 4.28744 | − | 8.41458i | 0.501807 | − | 0.984852i | −0.491666 | − | 0.870784i | \(-0.663612\pi\) |
0.993473 | − | 0.114068i | \(-0.0363881\pi\) | |||||||
\(74\) | 2.51404 | − | 7.73743i | 0.292252 | − | 0.899458i | ||||
\(75\) | −0.113334 | − | 10.0238i | −0.0130867 | − | 1.15745i | ||||
\(76\) | 5.78207i | 0.663249i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 8.10784 | − | 8.10784i | 0.918032 | − | 0.918032i | ||||
\(79\) | 0.926417 | + | 0.673081i | 0.104230 | + | 0.0757276i | 0.638679 | − | 0.769473i | \(-0.279481\pi\) |
−0.534449 | + | 0.845200i | \(0.679481\pi\) | |||||||
\(80\) | 5.85439 | + | 13.9108i | 0.654540 | + | 1.55527i | ||||
\(81\) | 3.40512 | + | 10.4799i | 0.378347 | + | 1.16443i | ||||
\(82\) | 3.26455 | + | 0.517053i | 0.360509 | + | 0.0570990i | ||||
\(83\) | 10.3360 | + | 1.63706i | 1.13452 | + | 0.179690i | 0.695321 | − | 0.718699i | \(-0.255262\pi\) |
0.439199 | + | 0.898390i | \(0.355262\pi\) | |||||||
\(84\) | −4.95976 | − | 15.2646i | −0.541155 | − | 1.66550i | ||||
\(85\) | 6.96579 | + | 2.83930i | 0.755546 | + | 0.307965i | ||||
\(86\) | −13.2107 | − | 9.59813i | −1.42454 | − | 1.03499i | ||||
\(87\) | 4.16301 | − | 4.16301i | 0.446321 | − | 0.446321i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.85743i | 0.408887i | 0.978878 | + | 0.204443i | \(0.0655384\pi\) | ||||
−0.978878 | + | 0.204443i | \(0.934462\pi\) | |||||||
\(90\) | −4.41638 | − | 3.72897i | −0.465527 | − | 0.393068i | ||||
\(91\) | −1.26034 | + | 3.87891i | −0.132119 | + | 0.406621i | ||||
\(92\) | −8.99711 | + | 17.6578i | −0.938014 | + | 1.84096i | ||||
\(93\) | −1.25776 | + | 7.94119i | −0.130424 | + | 0.823463i | ||||
\(94\) | 15.8420 | − | 11.5099i | 1.63397 | − | 1.18715i | ||||
\(95\) | −2.49830 | − | 1.51160i | −0.256320 | − | 0.155087i | ||||
\(96\) | 9.15625 | + | 2.97505i | 0.934506 | + | 0.303639i | ||||
\(97\) | 0.121714 | + | 0.768472i | 0.0123582 | + | 0.0780266i | 0.993097 | − | 0.117299i | \(-0.0374236\pi\) |
−0.980738 | + | 0.195326i | \(0.937424\pi\) | |||||||
\(98\) | −6.68878 | − | 6.68878i | −0.675669 | − | 0.675669i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −21.9040 | − | 3.21584i | −2.19040 | − | 0.321584i | ||||
\(101\) | −5.74129 | + | 7.90221i | −0.571280 | + | 0.786299i | −0.992706 | − | 0.120564i | \(-0.961530\pi\) |
0.421426 | + | 0.906863i | \(0.361530\pi\) | |||||||
\(102\) | 15.2357 | − | 7.76297i | 1.50856 | − | 0.768649i | ||||
\(103\) | −4.16266 | − | 2.12098i | −0.410159 | − | 0.208987i | 0.236722 | − | 0.971577i | \(-0.423927\pi\) |
−0.646881 | + | 0.762591i | \(0.723927\pi\) | |||||||
\(104\) | −8.16123 | − | 11.2330i | −0.800274 | − | 1.10148i | ||||
\(105\) | 7.89210 | + | 1.84760i | 0.770190 | + | 0.180308i | ||||
\(106\) | −15.3570 | + | 4.98980i | −1.49161 | + | 0.484653i | ||||
\(107\) | 6.94684 | + | 13.6339i | 0.671577 | + | 1.31804i | 0.935441 | + | 0.353484i | \(0.115003\pi\) |
−0.263864 | + | 0.964560i | \(0.584997\pi\) | |||||||
\(108\) | 17.3641 | − | 2.75020i | 1.67086 | − | 0.264639i | ||||
\(109\) | −17.8837 | −1.71295 | −0.856476 | − | 0.516187i | \(-0.827351\pi\) | ||||
−0.856476 | + | 0.516187i | \(0.827351\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.43355 | 0.610646 | ||||||||
\(112\) | −12.0531 | + | 1.90903i | −1.13891 | + | 0.180386i | ||||
\(113\) | 3.39111 | + | 6.65542i | 0.319009 | + | 0.626089i | 0.993708 | − | 0.112003i | \(-0.0357267\pi\) |
−0.674699 | + | 0.738093i | \(0.735727\pi\) | |||||||
\(114\) | −6.31285 | + | 2.05117i | −0.591252 | + | 0.192110i | ||||
\(115\) | −5.27743 | − | 8.50371i | −0.492123 | − | 0.792975i | ||||
\(116\) | −7.64250 | − | 10.5190i | −0.709588 | − | 0.976664i | ||||
\(117\) | 2.04928 | + | 1.04416i | 0.189456 | + | 0.0965327i | ||||
\(118\) | −27.9837 | + | 14.2584i | −2.57610 | + | 1.31259i | ||||
\(119\) | −3.57506 | + | 4.92065i | −0.327725 | + | 0.451075i | ||||
\(120\) | −20.8809 | + | 18.0391i | −1.90615 | + | 1.64674i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 16.6904 | + | 16.6904i | 1.51107 | + | 1.51107i | ||||
\(123\) | 0.408880 | + | 2.58157i | 0.0368674 | + | 0.232772i | ||||
\(124\) | 16.8875 | + | 5.48709i | 1.51655 | + | 0.492756i | ||||
\(125\) | 7.11583 | − | 8.62351i | 0.636460 | − | 0.771310i | ||||
\(126\) | 3.78105 | − | 2.74709i | 0.336842 | − | 0.244730i | ||||
\(127\) | −0.0322551 | + | 0.203651i | −0.00286217 | + | 0.0180711i | −0.989078 | − | 0.147392i | \(-0.952912\pi\) |
0.986216 | + | 0.165463i | \(0.0529120\pi\) | |||||||
\(128\) | −5.88481 | + | 11.5496i | −0.520148 | + | 1.02085i | ||||
\(129\) | 3.99034 | − | 12.2810i | 0.351330 | − | 1.08128i | ||||
\(130\) | 12.7431 | − | 1.07542i | 1.11764 | − | 0.0943203i | ||||
\(131\) | − | 0.551708i | − | 0.0482029i | −0.999710 | − | 0.0241015i | \(-0.992328\pi\) | ||
0.999710 | − | 0.0241015i | \(-0.00767248\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.66950 | − | 1.66950i | 0.144764 | − | 0.144764i | ||||
\(134\) | −7.14256 | − | 5.18937i | −0.617023 | − | 0.448293i | ||||
\(135\) | −3.35118 | + | 8.22161i | −0.288424 | + | 0.707604i | ||||
\(136\) | −6.39853 | − | 19.6927i | −0.548670 | − | 1.68863i | ||||
\(137\) | 15.2859 | + | 2.42105i | 1.30596 | + | 0.206844i | 0.770350 | − | 0.637621i | \(-0.220081\pi\) |
0.535611 | + | 0.844465i | \(0.320081\pi\) | |||||||
\(138\) | −22.4705 | − | 3.55897i | −1.91281 | − | 0.302960i | ||||
\(139\) | 0.439646 | + | 1.35309i | 0.0372903 | + | 0.114768i | 0.967969 | − | 0.251070i | \(-0.0807825\pi\) |
−0.930679 | + | 0.365838i | \(0.880782\pi\) | |||||||
\(140\) | 6.75675 | − | 16.5767i | 0.571050 | − | 1.40098i | ||||
\(141\) | 12.5276 | + | 9.10186i | 1.05502 | + | 0.766515i | ||||
\(142\) | 12.1390 | − | 12.1390i | 1.01868 | − | 1.01868i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 6.88173i | 0.573477i | ||||||||
\(145\) | 6.54298 | − | 0.552178i | 0.543365 | − | 0.0458559i | ||||
\(146\) | 7.39884 | − | 22.7713i | 0.612333 | − | 1.88457i | ||||
\(147\) | 3.39601 | − | 6.66505i | 0.280098 | − | 0.549724i | ||||
\(148\) | 2.22268 | − | 14.0335i | 0.182703 | − | 1.15354i | ||||
\(149\) | −19.2587 | + | 13.9922i | −1.57773 | + | 1.14629i | −0.658491 | + | 0.752588i | \(0.728805\pi\) |
−0.919239 | + | 0.393700i | \(0.871195\pi\) | |||||||
\(150\) | −4.25933 | − | 25.0556i | −0.347773 | − | 2.04578i | ||||
\(151\) | −13.6820 | − | 4.44554i | −1.11342 | − | 0.361773i | −0.306169 | − | 0.951977i | \(-0.599047\pi\) |
−0.807254 | + | 0.590204i | \(0.799047\pi\) | |||||||
\(152\) | 1.25738 | + | 7.93881i | 0.101987 | + | 0.643923i | ||||
\(153\) | 2.42531 | + | 2.42531i | 0.196075 | + | 0.196075i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.78574 | + | 5.86223i | −0.545044 | + | 0.470866i | ||||
\(156\) | 11.7705 | − | 16.2007i | 0.942391 | − | 1.29709i | ||||
\(157\) | −12.0231 | + | 6.12609i | −0.959550 | + | 0.488915i | −0.862330 | − | 0.506348i | \(-0.830995\pi\) |
−0.0972208 | + | 0.995263i | \(0.530995\pi\) | |||||||
\(158\) | 2.58678 | + | 1.31803i | 0.205793 | + | 0.104857i | ||||
\(159\) | −7.50551 | − | 10.3304i | −0.595225 | − | 0.819257i | ||||
\(160\) | 5.66203 | + | 9.12342i | 0.447623 | + | 0.721270i | ||||
\(161\) | 7.69629 | − | 2.50068i | 0.606553 | − | 0.197081i | ||||
\(162\) | 12.6831 | + | 24.8921i | 0.996481 | + | 1.95570i | ||||
\(163\) | −1.06000 | + | 0.167887i | −0.0830255 | + | 0.0131500i | −0.197809 | − | 0.980241i | \(-0.563383\pi\) |
0.114783 | + | 0.993391i | \(0.463383\pi\) | |||||||
\(164\) | 5.77242 | 0.450750 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 26.5315 | 2.05924 | ||||||||
\(167\) | 1.86854 | − | 0.295948i | 0.144592 | − | 0.0229011i | −0.0837188 | − | 0.996489i | \(-0.526680\pi\) |
0.228311 | + | 0.973588i | \(0.426680\pi\) | |||||||
\(168\) | −10.1293 | − | 19.8798i | −0.781489 | − | 1.53376i | ||||
\(169\) | 7.52417 | − | 2.44475i | 0.578782 | − | 0.188058i | ||||
\(170\) | 18.5691 | + | 4.34716i | 1.42418 | + | 0.333412i | ||||
\(171\) | −0.782597 | − | 1.07715i | −0.0598467 | − | 0.0823719i | ||||
\(172\) | −25.4099 | − | 12.9470i | −1.93749 | − | 0.987199i | ||||
\(173\) | 16.8822 | − | 8.60190i | 1.28353 | − | 0.653990i | 0.326833 | − | 0.945082i | \(-0.394019\pi\) |
0.956695 | + | 0.291092i | \(0.0940186\pi\) | |||||||
\(174\) | 8.77346 | − | 12.0756i | 0.665114 | − | 0.915451i | ||||
\(175\) | 5.39599 | + | 7.25306i | 0.407898 | + | 0.548280i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −17.5618 | − | 17.5618i | −1.32002 | − | 1.32002i | ||||
\(178\) | 1.52989 | + | 9.65935i | 0.114670 | + | 0.723999i | ||||
\(179\) | 15.5810 | + | 5.06258i | 1.16458 | + | 0.378395i | 0.826618 | − | 0.562764i | \(-0.190262\pi\) |
0.337963 | + | 0.941159i | \(0.390262\pi\) | |||||||
\(180\) | −8.63677 | − | 5.22569i | −0.643746 | − | 0.389500i | ||||
\(181\) | −12.0248 | + | 8.73652i | −0.893796 | + | 0.649380i | −0.936865 | − | 0.349692i | \(-0.886286\pi\) |
0.0430693 | + | 0.999072i | \(0.486286\pi\) | |||||||
\(182\) | −1.61758 | + | 10.2130i | −0.119903 | + | 0.757038i | ||||
\(183\) | −8.47398 | + | 16.6311i | −0.626415 | + | 1.22941i | ||||
\(184\) | −8.51316 | + | 26.2008i | −0.627599 | + | 1.93155i | ||||
\(185\) | 5.48246 | + | 4.62912i | 0.403079 | + | 0.340340i | ||||
\(186\) | 20.3843i | 1.49465i | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 24.1819 | − | 24.1819i | 1.76365 | − | 1.76365i | ||||
\(189\) | −5.80777 | − | 4.21959i | −0.422453 | − | 0.306930i | ||||
\(190\) | −6.85548 | − | 2.79433i | −0.497349 | − | 0.202722i | ||||
\(191\) | −0.590092 | − | 1.81612i | −0.0426976 | − | 0.131410i | 0.927435 | − | 0.373983i | \(-0.122008\pi\) |
−0.970133 | + | 0.242574i | \(0.922008\pi\) | |||||||
\(192\) | −2.62311 | − | 0.415459i | −0.189306 | − | 0.0299832i | ||||
\(193\) | −11.2428 | − | 1.78068i | −0.809273 | − | 0.128176i | −0.261933 | − | 0.965086i | \(-0.584360\pi\) |
−0.547341 | + | 0.836910i | \(0.684360\pi\) | |||||||
\(194\) | 0.609566 | + | 1.87605i | 0.0437643 | + | 0.134693i | ||||
\(195\) | 3.92279 | + | 9.32107i | 0.280917 | + | 0.667495i | ||||
\(196\) | −13.3652 | − | 9.71036i | −0.954654 | − | 0.693597i | ||||
\(197\) | −13.8092 | + | 13.8092i | −0.983863 | + | 0.983863i | −0.999872 | − | 0.0160086i | \(-0.994904\pi\) |
0.0160086 | + | 0.999872i | \(0.494904\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 22.3508i | 1.58441i | 0.610258 | + | 0.792203i | \(0.291066\pi\) | ||||
−0.610258 | + | 0.792203i | \(0.708934\pi\) | |||||||
\(200\) | −30.7737 | + | 0.347942i | −2.17603 | + | 0.0246032i | ||||
\(201\) | 2.15744 | − | 6.63992i | 0.152174 | − | 0.468344i | ||||
\(202\) | −11.2426 | + | 22.0649i | −0.791028 | + | 1.55248i | ||||
\(203\) | −0.830554 | + | 5.24391i | −0.0582935 | + | 0.368051i | ||||
\(204\) | 24.1598 | − | 17.5531i | 1.69153 | − | 1.22897i | ||||
\(205\) | −1.50908 | + | 2.49413i | −0.105398 | + | 0.174197i | ||||
\(206\) | −11.2649 | − | 3.66018i | −0.784862 | − | 0.255017i | ||||
\(207\) | −0.713879 | − | 4.50726i | −0.0496181 | − | 0.313276i | ||||
\(208\) | −10.7662 | − | 10.7662i | −0.746501 | − | 0.746501i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 20.4953 | + | 1.49649i | 1.41431 | + | 0.103267i | ||||
\(211\) | 0.221326 | − | 0.304629i | 0.0152367 | − | 0.0209715i | −0.801331 | − | 0.598222i | \(-0.795874\pi\) |
0.816567 | + | 0.577250i | \(0.195874\pi\) | |||||||
\(212\) | −25.1268 | + | 12.8027i | −1.72571 | + | 0.879295i | ||||
\(213\) | 12.0959 | + | 6.16319i | 0.828801 | + | 0.422295i | ||||
\(214\) | 22.8029 | + | 31.3855i | 1.55877 | + | 2.14547i | ||||
\(215\) | 12.2370 | − | 7.59432i | 0.834556 | − | 0.517928i | ||||
\(216\) | 23.2429 | − | 7.55209i | 1.58148 | − | 0.513855i | ||||
\(217\) | −3.29174 | − | 6.46041i | −0.223458 | − | 0.438561i | ||||
\(218\) | −44.7825 | + | 7.09285i | −3.03305 | + | 0.480388i | ||||
\(219\) | 18.9340 | 1.27944 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.58859 | −0.510464 | ||||||||
\(222\) | 16.1102 | − | 2.55160i | 1.08125 | − | 0.171252i | ||||
\(223\) | 3.45459 | + | 6.78001i | 0.231336 | + | 0.454023i | 0.977270 | − | 0.211997i | \(-0.0679966\pi\) |
−0.745934 | + | 0.666020i | \(0.767997\pi\) | |||||||
\(224\) | −8.25716 | + | 2.68292i | −0.551705 | + | 0.179260i | ||||
\(225\) | 4.51580 | − | 2.36560i | 0.301053 | − | 0.157707i | ||||
\(226\) | 11.1312 | + | 15.3208i | 0.740439 | + | 1.01913i | ||||
\(227\) | −7.30862 | − | 3.72393i | −0.485090 | − | 0.247166i | 0.194301 | − | 0.980942i | \(-0.437756\pi\) |
−0.679391 | + | 0.733776i | \(0.737756\pi\) | |||||||
\(228\) | −10.3289 | + | 5.26284i | −0.684049 | + | 0.348540i | ||||
\(229\) | 4.46080 | − | 6.13976i | 0.294778 | − | 0.405727i | −0.635781 | − | 0.771869i | \(-0.719322\pi\) |
0.930559 | + | 0.366143i | \(0.119322\pi\) | |||||||
\(230\) | −16.5878 | − | 19.2010i | −1.09377 | − | 1.26608i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −12.7807 | − | 12.7807i | −0.839092 | − | 0.839092i | ||||
\(233\) | −4.10127 | − | 25.8944i | −0.268683 | − | 1.69640i | −0.640391 | − | 0.768049i | \(-0.721228\pi\) |
0.371708 | − | 0.928350i | \(-0.378772\pi\) | |||||||
\(234\) | 5.54571 | + | 1.80191i | 0.362534 | + | 0.117795i | ||||
\(235\) | 4.12660 | + | 16.7703i | 0.269190 | + | 1.09397i | ||||
\(236\) | −44.3747 | + | 32.2401i | −2.88855 | + | 2.09865i | ||||
\(237\) | −0.359146 | + | 2.26756i | −0.0233291 | + | 0.147294i | ||||
\(238\) | −7.00070 | + | 13.7396i | −0.453788 | + | 0.890609i | ||||
\(239\) | −0.703327 | + | 2.16462i | −0.0454944 | + | 0.140017i | −0.971224 | − | 0.238170i | \(-0.923452\pi\) |
0.925729 | + | 0.378187i | \(0.123452\pi\) | |||||||
\(240\) | −19.5211 | + | 23.1197i | −1.26008 | + | 1.49237i | ||||
\(241\) | 6.29531i | 0.405517i | 0.979229 | + | 0.202758i | \(0.0649906\pi\) | ||||
−0.979229 | + | 0.202758i | \(0.935009\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −7.19883 | + | 7.19883i | −0.461805 | + | 0.461805i | ||||
\(244\) | 33.3498 | + | 24.2300i | 2.13500 | + | 1.55117i | ||||
\(245\) | 7.68966 | − | 3.23621i | 0.491274 | − | 0.206754i | ||||
\(246\) | 2.04774 | + | 6.30231i | 0.130559 | + | 0.401820i | ||||
\(247\) | 2.90950 | + | 0.460820i | 0.185127 | + | 0.0293213i | ||||
\(248\) | 24.3799 | + | 3.86140i | 1.54813 | + | 0.245199i | ||||
\(249\) | 6.48342 | + | 19.9539i | 0.410870 | + | 1.26453i | ||||
\(250\) | 14.3985 | − | 24.4162i | 0.910643 | − | 1.54422i | ||||
\(251\) | 21.5157 | + | 15.6321i | 1.35806 | + | 0.986687i | 0.998566 | + | 0.0535389i | \(0.0170501\pi\) |
0.359492 | + | 0.933148i | \(0.382950\pi\) | |||||||
\(252\) | 5.77157 | − | 5.77157i | 0.363575 | − | 0.363575i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0.522752i | 0.0328004i | ||||||||
\(255\) | 1.26823 | + | 15.0278i | 0.0794197 | + | 0.941077i | ||||
\(256\) | −9.33673 | + | 28.7355i | −0.583546 | + | 1.79597i | ||||
\(257\) | 8.97730 | − | 17.6189i | 0.559988 | − | 1.09904i | −0.421377 | − | 0.906886i | \(-0.638453\pi\) |
0.981365 | − | 0.192153i | \(-0.0615471\pi\) | |||||||
\(258\) | 5.12142 | − | 32.3354i | 0.318846 | − | 2.01311i | ||||
\(259\) | −4.69377 | + | 3.41022i | −0.291657 | + | 0.211901i | ||||
\(260\) | 21.6872 | − | 5.33649i | 1.34499 | − | 0.330955i | ||||
\(261\) | 2.84747 | + | 0.925199i | 0.176254 | + | 0.0572684i | ||||
\(262\) | −0.218812 | − | 1.38153i | −0.0135183 | − | 0.0853510i | ||||
\(263\) | 5.91748 | + | 5.91748i | 0.364888 | + | 0.364888i | 0.865609 | − | 0.500721i | \(-0.166932\pi\) |
−0.500721 | + | 0.865609i | \(0.666932\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.03710 | − | 14.2037i | 0.0637085 | − | 0.872526i | ||||
\(266\) | 3.51845 | − | 4.84273i | 0.215730 | − | 0.296927i | ||||
\(267\) | −6.89079 | + | 3.51104i | −0.421710 | + | 0.214872i | ||||
\(268\) | −13.7383 | − | 6.99999i | −0.839198 | − | 0.427592i | ||||
\(269\) | −5.70779 | − | 7.85609i | −0.348010 | − | 0.478994i | 0.598750 | − | 0.800936i | \(-0.295664\pi\) |
−0.946759 | + | 0.321942i | \(0.895664\pi\) | |||||||
\(270\) | −5.13089 | + | 21.9168i | −0.312256 | + | 1.33381i | ||||
\(271\) | 2.90211 | − | 0.942954i | 0.176291 | − | 0.0572804i | −0.219542 | − | 0.975603i | \(-0.570456\pi\) |
0.395832 | + | 0.918323i | \(0.370456\pi\) | |||||||
\(272\) | −10.3082 | − | 20.2311i | −0.625029 | − | 1.22669i | ||||
\(273\) | −8.07633 | + | 1.27916i | −0.488802 | + | 0.0774186i | ||||
\(274\) | 39.2374 | 2.37042 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −39.7326 | −2.39162 | ||||||||
\(277\) | 2.35085 | − | 0.372337i | 0.141249 | − | 0.0223716i | −0.0854097 | − | 0.996346i | \(-0.527220\pi\) |
0.226658 | + | 0.973974i | \(0.427220\pi\) | |||||||
\(278\) | 1.63756 | + | 3.21389i | 0.0982144 | + | 0.192757i | ||||
\(279\) | −3.88868 | + | 1.26351i | −0.232809 | + | 0.0756443i | ||||
\(280\) | 5.67225 | − | 24.2292i | 0.338982 | − | 1.44797i | ||||
\(281\) | −16.5944 | − | 22.8402i | −0.989939 | − | 1.36253i | −0.931299 | − | 0.364255i | \(-0.881324\pi\) |
−0.0586395 | − | 0.998279i | \(-0.518676\pi\) | |||||||
\(282\) | 34.9802 | + | 17.8233i | 2.08304 | + | 1.06136i | ||||
\(283\) | 15.1591 | − | 7.72394i | 0.901114 | − | 0.459141i | 0.0588878 | − | 0.998265i | \(-0.481245\pi\) |
0.842226 | + | 0.539124i | \(0.181245\pi\) | |||||||
\(284\) | 17.6227 | − | 24.2555i | 1.04571 | − | 1.43930i | ||||
\(285\) | 0.426322 | − | 5.83874i | 0.0252532 | − | 0.345857i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.66672 | − | 1.66672i | −0.0983831 | − | 0.0983831i | ||||
\(288\) | 0.765904 | + | 4.83573i | 0.0451313 | + | 0.284948i | ||||
\(289\) | 5.40508 | + | 1.75622i | 0.317946 | + | 0.103307i | ||||
\(290\) | 16.1652 | − | 3.97771i | 0.949255 | − | 0.233579i | ||||
\(291\) | −1.26199 | + | 0.916890i | −0.0739792 | + | 0.0537491i | ||||
\(292\) | 6.54137 | − | 41.3006i | 0.382805 | − | 2.41693i | ||||
\(293\) | 4.85084 | − | 9.52030i | 0.283389 | − | 0.556182i | −0.704803 | − | 0.709403i | \(-0.748965\pi\) |
0.988192 | + | 0.153221i | \(0.0489646\pi\) | |||||||
\(294\) | 5.86050 | − | 18.0368i | 0.341791 | − | 1.05193i | ||||
\(295\) | −2.32938 | − | 27.6018i | −0.135622 | − | 1.60704i | ||||
\(296\) | − | 19.7514i | − | 1.14803i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −42.6760 | + | 42.6760i | −2.47215 | + | 2.47215i | ||||
\(299\) | 8.16826 | + | 5.93459i | 0.472383 | + | 0.343206i | ||||
\(300\) | −14.1924 | − | 42.0557i | −0.819397 | − | 2.42809i | ||||
\(301\) | 3.59852 | + | 11.0751i | 0.207415 | + | 0.638358i | ||||
\(302\) | −36.0240 | − | 5.70565i | −2.07295 | − | 0.328323i | ||||
\(303\) | −19.3420 | − | 3.06347i | −1.11117 | − | 0.175992i | ||||
\(304\) | 2.72369 | + | 8.38266i | 0.156214 | + | 0.480778i | ||||
\(305\) | −19.1878 | + | 8.07524i | −1.09869 | + | 0.462387i | ||||
\(306\) | 7.03509 | + | 5.11129i | 0.402169 | + | 0.292193i | ||||
\(307\) | 22.9923 | − | 22.9923i | 1.31224 | − | 1.31224i | 0.392474 | − | 0.919763i | \(-0.371619\pi\) |
0.919763 | − | 0.392474i | \(-0.128381\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 9.36657i | − | 0.532846i | ||||||
\(310\) | −14.6671 | + | 17.3708i | −0.833035 | + | 0.986597i | ||||
\(311\) | 4.29183 | − | 13.2089i | 0.243367 | − | 0.749007i | −0.752534 | − | 0.658554i | \(-0.771168\pi\) |
0.995901 | − | 0.0904531i | \(-0.0288315\pi\) | |||||||
\(312\) | 12.6379 | − | 24.8032i | 0.715479 | − | 1.40421i | ||||
\(313\) | 2.72008 | − | 17.1739i | 0.153748 | − | 0.970728i | −0.783329 | − | 0.621607i | \(-0.786480\pi\) |
0.937078 | − | 0.349121i | \(-0.113520\pi\) | |||||||
\(314\) | −27.6773 | + | 20.1088i | −1.56192 | + | 1.13480i | ||||
\(315\) | 0.984907 | + | 4.00262i | 0.0554932 | + | 0.225522i | ||||
\(316\) | 4.82214 | + | 1.56681i | 0.271267 | + | 0.0881399i | ||||
\(317\) | −2.52751 | − | 15.9581i | −0.141959 | − | 0.896296i | −0.951145 | − | 0.308743i | \(-0.900092\pi\) |
0.809186 | − | 0.587552i | \(-0.199908\pi\) | |||||||
\(318\) | −22.8916 | − | 22.8916i | −1.28370 | − | 1.28370i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −1.93639 | − | 2.24144i | −0.108248 | − | 0.125300i | ||||
\(321\) | −18.0322 | + | 24.8193i | −1.00646 | + | 1.38528i | ||||
\(322\) | 18.2804 | − | 9.31434i | 1.01873 | − | 0.519068i | ||||
\(323\) | 3.91418 | + | 1.99437i | 0.217791 | + | 0.110970i | ||||
\(324\) | 28.6783 | + | 39.4723i | 1.59324 | + | 2.19290i | ||||
\(325\) | −3.36390 | + | 10.7657i | −0.186596 | + | 0.597172i | ||||
\(326\) | −2.58775 | + | 0.840810i | −0.143322 | + | 0.0465682i | ||||
\(327\) | −16.2778 | − | 31.9470i | −0.900164 | − | 1.76667i | ||||
\(328\) | 7.92556 | − | 1.25528i | 0.437616 | − | 0.0693115i | ||||
\(329\) | −13.9645 | −0.769887 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.6837 | 0.807090 | 0.403545 | − | 0.914960i | \(-0.367778\pi\) | ||||
0.403545 | + | 0.914960i | \(0.367778\pi\) | |||||||
\(332\) | 45.7653 | − | 7.24851i | 2.51170 | − | 0.397813i | ||||
\(333\) | 1.48535 | + | 2.91516i | 0.0813965 | + | 0.159750i | ||||
\(334\) | 4.56162 | − | 1.48216i | 0.249601 | − | 0.0811002i | ||||
\(335\) | 6.61611 | − | 4.10598i | 0.361477 | − | 0.224334i | ||||
\(336\) | −14.3810 | − | 19.7938i | −0.784548 | − | 1.07984i | ||||
\(337\) | −12.0207 | − | 6.12483i | −0.654807 | − | 0.333641i | 0.0948269 | − | 0.995494i | \(-0.469770\pi\) |
−0.749634 | + | 0.661853i | \(0.769770\pi\) | |||||||
\(338\) | 17.8716 | − | 9.10603i | 0.972086 | − | 0.495303i | ||||
\(339\) | −8.80245 | + | 12.1155i | −0.478084 | + | 0.658026i | ||||
\(340\) | 33.2182 | + | 2.42547i | 1.80151 | + | 0.131539i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −2.38690 | − | 2.38690i | −0.129069 | − | 0.129069i | ||||
\(343\) | 3.03514 | + | 19.1631i | 0.163882 | + | 1.03471i | ||||
\(344\) | −37.7034 | − | 12.2506i | −2.03283 | − | 0.660507i | ||||
\(345\) | 10.3872 | − | 17.1675i | 0.559230 | − | 0.924269i | ||||
\(346\) | 38.8629 | − | 28.2355i | 2.08928 | − | 1.51795i | ||||
\(347\) | 1.91410 | − | 12.0852i | 0.102755 | − | 0.648766i | −0.881523 | − | 0.472140i | \(-0.843482\pi\) |
0.984278 | − | 0.176626i | \(-0.0565184\pi\) | |||||||
\(348\) | 11.8346 | − | 23.2267i | 0.634401 | − | 1.24508i | ||||
\(349\) | −6.29508 | + | 19.3743i | −0.336968 | + | 1.03708i | 0.628777 | + | 0.777586i | \(0.283556\pi\) |
−0.965745 | + | 0.259494i | \(0.916444\pi\) | |||||||
\(350\) | 16.3887 | + | 16.0222i | 0.876011 | + | 0.856423i | ||||
\(351\) | − | 8.95670i | − | 0.478073i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 13.7886 | − | 13.7886i | 0.733893 | − | 0.733893i | −0.237495 | − | 0.971389i | \(-0.576326\pi\) |
0.971389 | + | 0.237495i | \(0.0763264\pi\) | |||||||
\(354\) | −50.9415 | − | 37.0111i | −2.70751 | − | 1.96712i | ||||
\(355\) | 5.87318 | + | 13.9555i | 0.311716 | + | 0.740679i | ||||
\(356\) | 5.27795 | + | 16.2439i | 0.279731 | + | 0.860923i | ||||
\(357\) | −12.0441 | − | 1.90760i | −0.637442 | − | 0.100961i | ||||
\(358\) | 41.0242 | + | 6.49759i | 2.16819 | + | 0.343408i | ||||
\(359\) | 5.10491 | + | 15.7113i | 0.269427 | + | 0.829210i | 0.990640 | + | 0.136497i | \(0.0435845\pi\) |
−0.721214 | + | 0.692713i | \(0.756415\pi\) | |||||||
\(360\) | −12.9947 | − | 5.29672i | −0.684882 | − | 0.279162i | ||||
\(361\) | 13.9917 | + | 10.1656i | 0.736406 | + | 0.535030i | ||||
\(362\) | −26.6462 | + | 26.6462i | −1.40049 | + | 1.40049i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 18.0588i | 0.946537i | ||||||||
\(365\) | 16.1349 | + | 13.6235i | 0.844540 | + | 0.713088i | ||||
\(366\) | −14.6236 | + | 45.0067i | −0.764386 | + | 2.35254i | ||||
\(367\) | −2.92432 | + | 5.73930i | −0.152648 | + | 0.299589i | −0.954649 | − | 0.297734i | \(-0.903769\pi\) |
0.802001 | + | 0.597323i | \(0.203769\pi\) | |||||||
\(368\) | −4.72586 | + | 29.8379i | −0.246353 | + | 1.55541i | ||||
\(369\) | −1.07535 | + | 0.781290i | −0.0559807 | + | 0.0406723i | ||||
\(370\) | 15.5645 | + | 9.41735i | 0.809162 | + | 0.489585i | ||||
\(371\) | 10.9517 | + | 3.55842i | 0.568583 | + | 0.184744i | ||||
\(372\) | 5.56907 | + | 35.1617i | 0.288743 | + | 1.82305i | ||||
\(373\) | −9.69631 | − | 9.69631i | −0.502056 | − | 0.502056i | 0.410021 | − | 0.912076i | \(-0.365522\pi\) |
−0.912076 | + | 0.410021i | \(0.865522\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 21.8816 | + | 4.86238i | 1.12996 | + | 0.251092i | ||||
\(376\) | 27.9433 | − | 38.4606i | 1.44106 | − | 1.98345i | ||||
\(377\) | −5.90219 | + | 3.00731i | −0.303978 | + | 0.154885i | ||||
\(378\) | −16.2167 | − | 8.26282i | −0.834097 | − | 0.424994i | ||||
\(379\) | 12.6380 | + | 17.3947i | 0.649171 | + | 0.893507i | 0.999063 | − | 0.0432830i | \(-0.0137817\pi\) |
−0.349892 | + | 0.936790i | \(0.613782\pi\) | |||||||
\(380\) | −12.5887 | − | 2.94712i | −0.645788 | − | 0.151184i | ||||
\(381\) | −0.393154 | + | 0.127743i | −0.0201419 | + | 0.00654449i | ||||
\(382\) | −2.19793 | − | 4.31368i | −0.112456 | − | 0.220707i | ||||
\(383\) | −0.299698 | + | 0.0474676i | −0.0153139 | + | 0.00242548i | −0.164087 | − | 0.986446i | \(-0.552468\pi\) |
0.148773 | + | 0.988871i | \(0.452468\pi\) | |||||||
\(384\) | −25.9882 | −1.32620 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −28.8592 | −1.46889 | ||||||||
\(387\) | 6.48602 | − | 1.02728i | 0.329703 | − | 0.0522198i | ||||
\(388\) | 1.56401 | + | 3.06954i | 0.0794006 | + | 0.155833i | ||||
\(389\) | −3.42506 | + | 1.11287i | −0.173657 | + | 0.0564247i | −0.394555 | − | 0.918872i | \(-0.629101\pi\) |
0.220898 | + | 0.975297i | \(0.429101\pi\) | |||||||
\(390\) | 13.5198 | + | 21.7850i | 0.684604 | + | 1.10313i | ||||
\(391\) | 8.85017 | + | 12.1812i | 0.447572 | + | 0.616030i | ||||
\(392\) | −20.4621 | − | 10.4259i | −1.03349 | − | 0.526590i | ||||
\(393\) | 0.985554 | − | 0.502165i | 0.0497146 | − | 0.0253309i | ||||
\(394\) | −29.1026 | + | 40.0563i | −1.46617 | + | 2.01801i | ||||
\(395\) | −1.93763 | + | 1.67393i | −0.0974927 | + | 0.0842244i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.1781 | + | 22.1781i | 1.11309 | + | 1.11309i | 0.992731 | + | 0.120357i | \(0.0384039\pi\) |
0.120357 | + | 0.992731i | \(0.461596\pi\) | |||||||
\(398\) | 8.86452 | + | 55.9684i | 0.444338 | + | 2.80544i | ||||
\(399\) | 4.50193 | + | 1.46277i | 0.225378 | + | 0.0732299i | ||||
\(400\) | −33.2706 | + | 5.65585i | −1.66353 | + | 0.282792i | ||||
\(401\) | 8.08801 | − | 5.87628i | 0.403896 | − | 0.293447i | −0.367230 | − | 0.930130i | \(-0.619694\pi\) |
0.771126 | + | 0.636683i | \(0.219694\pi\) | |||||||
\(402\) | 2.76897 | − | 17.4826i | 0.138104 | − | 0.871953i | ||||
\(403\) | 4.10698 | − | 8.06040i | 0.204583 | − | 0.401517i | ||||
\(404\) | −13.3647 | + | 41.1322i | −0.664916 | + | 2.04640i | ||||
\(405\) | −24.5524 | + | 2.07203i | −1.22002 | + | 0.102960i | ||||
\(406\) | 13.4606i | 0.668040i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 29.3544 | − | 29.3544i | 1.45326 | − | 1.45326i | ||||
\(409\) | −24.5870 | − | 17.8635i | −1.21575 | − | 0.883293i | −0.220009 | − | 0.975498i | \(-0.570609\pi\) |
−0.995740 | + | 0.0922049i | \(0.970609\pi\) | |||||||
\(410\) | −2.78967 | + | 6.84403i | −0.137772 | + | 0.338003i | ||||
\(411\) | 9.58834 | + | 29.5099i | 0.472958 | + | 1.45561i | ||||
\(412\) | −20.4313 | − | 3.23599i | −1.00658 | − | 0.159426i | ||||
\(413\) | 22.1216 | + | 3.50372i | 1.08853 | + | 0.172407i | ||||
\(414\) | −3.57524 | − | 11.0034i | −0.175713 | − | 0.540790i | ||||
\(415\) | −8.83245 | + | 21.6691i | −0.433568 | + | 1.06369i | ||||
\(416\) | −8.76352 | − | 6.36707i | −0.429667 | − | 0.312171i | ||||
\(417\) | −2.01695 | + | 2.01695i | −0.0987706 | + | 0.0987706i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 7.48185i | − | 0.365512i | −0.983158 | − | 0.182756i | \(-0.941498\pi\) | ||
0.983158 | − | 0.182756i | \(-0.0585019\pi\) | |||||||
\(420\) | 35.7621 | − | 3.01804i | 1.74501 | − | 0.147265i | ||||
\(421\) | 6.31106 | − | 19.4234i | 0.307582 | − | 0.946640i | −0.671119 | − | 0.741350i | \(-0.734186\pi\) |
0.978701 | − | 0.205291i | \(-0.0658140\pi\) | |||||||
\(422\) | 0.433402 | − | 0.850599i | 0.0210977 | − | 0.0414065i | ||||
\(423\) | −1.23190 | + | 7.77789i | −0.0598969 | + | 0.378174i | ||||
\(424\) | −31.7151 | + | 23.0423i | −1.54022 | + | 1.11903i | ||||
\(425\) | −9.73219 | + | 13.7187i | −0.472080 | + | 0.665456i | ||||
\(426\) | 32.7337 | + | 10.6358i | 1.58595 | + | 0.515308i | ||||
\(427\) | −2.63322 | − | 16.6255i | −0.127430 | − | 0.804563i | ||||
\(428\) | 47.9083 | + | 47.9083i | 2.31573 | + | 2.31573i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 27.6305 | − | 23.8702i | 1.33246 | − | 1.15112i | ||||
\(431\) | 19.7884 | − | 27.2363i | 0.953172 | − | 1.31193i | 0.00306745 | − | 0.999995i | \(-0.499024\pi\) |
0.950104 | − | 0.311933i | \(-0.100976\pi\) | |||||||
\(432\) | 23.8784 | − | 12.1667i | 1.14885 | − | 0.585369i | ||||
\(433\) | −10.3349 | − | 5.26591i | −0.496665 | − | 0.253063i | 0.187669 | − | 0.982232i | \(-0.439907\pi\) |
−0.684334 | + | 0.729169i | \(0.739907\pi\) | |||||||
\(434\) | −10.8051 | − | 14.8719i | −0.518660 | − | 0.713875i | ||||
\(435\) | 6.94182 | + | 11.1856i | 0.332835 | + | 0.536308i | ||||
\(436\) | −75.3094 | + | 24.4695i | −3.60667 | + | 1.17188i | ||||
\(437\) | −2.65349 | − | 5.20776i | −0.126934 | − | 0.249121i | ||||
\(438\) | 47.4124 | − | 7.50938i | 2.26545 | − | 0.358812i | ||||
\(439\) | 10.7242 | 0.511837 | 0.255918 | − | 0.966698i | \(-0.417622\pi\) | ||||
0.255918 | + | 0.966698i | \(0.417622\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.80411 | 0.181148 | ||||||||
\(442\) | −19.0025 | + | 3.00970i | −0.903858 | + | 0.143157i | ||||
\(443\) | −18.3111 | − | 35.9376i | −0.869987 | − | 1.70745i | −0.690042 | − | 0.723769i | \(-0.742408\pi\) |
−0.179945 | − | 0.983677i | \(-0.557592\pi\) | |||||||
\(444\) | 27.0920 | − | 8.80274i | 1.28573 | − | 0.417759i | ||||
\(445\) | −8.39840 | − | 1.96613i | −0.398123 | − | 0.0932037i | ||||
\(446\) | 11.3396 | + | 15.6076i | 0.536946 | + | 0.739043i | ||||
\(447\) | −42.5245 | − | 21.6673i | −2.01134 | − | 1.02483i | ||||
\(448\) | 2.13398 | − | 1.08732i | 0.100821 | − | 0.0513709i | ||||
\(449\) | 2.14048 | − | 2.94612i | 0.101016 | − | 0.139036i | −0.755517 | − | 0.655129i | \(-0.772614\pi\) |
0.856532 | + | 0.516093i | \(0.172614\pi\) | |||||||
\(450\) | 10.3698 | − | 7.71468i | 0.488835 | − | 0.363674i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 23.3865 | + | 23.3865i | 1.10001 | + | 1.10001i | ||||
\(453\) | −4.51196 | − | 28.4874i | −0.211990 | − | 1.33845i | ||||
\(454\) | −19.7784 | − | 6.42639i | −0.928246 | − | 0.301605i | ||||
\(455\) | −7.80278 | − | 4.72109i | −0.365800 | − | 0.221328i | ||||
\(456\) | −13.0372 | + | 9.47206i | −0.610522 | + | 0.443570i | ||||
\(457\) | −2.83032 | + | 17.8699i | −0.132397 | + | 0.835920i | 0.828697 | + | 0.559698i | \(0.189083\pi\) |
−0.961094 | + | 0.276223i | \(0.910917\pi\) | |||||||
\(458\) | 8.73515 | − | 17.1437i | 0.408167 | − | 0.801072i | ||||
\(459\) | 4.12754 | − | 12.7033i | 0.192657 | − | 0.592938i | ||||
\(460\) | −33.8588 | − | 28.5887i | −1.57868 | − | 1.33296i | ||||
\(461\) | 35.5884i | 1.65751i | 0.559608 | + | 0.828757i | \(0.310952\pi\) | ||||
−0.559608 | + | 0.828757i | \(0.689048\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.46802 | + | 4.46802i | −0.207647 | + | 0.207647i | −0.803266 | − | 0.595620i | \(-0.796907\pi\) |
0.595620 | + | 0.803266i | \(0.296907\pi\) | |||||||
\(464\) | −16.0349 | − | 11.6500i | −0.744402 | − | 0.540839i | ||||
\(465\) | −16.6485 | − | 6.78603i | −0.772055 | − | 0.314694i | ||||
\(466\) | −20.5399 | − | 63.2153i | −0.951492 | − | 2.92839i | ||||
\(467\) | 8.54624 | + | 1.35359i | 0.395473 | + | 0.0626367i | 0.351004 | − | 0.936374i | \(-0.385840\pi\) |
0.0444689 | + | 0.999011i | \(0.485840\pi\) | |||||||
\(468\) | 10.0583 | + | 1.59308i | 0.464946 | + | 0.0736402i | ||||
\(469\) | 1.94559 | + | 5.98792i | 0.0898391 | + | 0.276496i | ||||
\(470\) | 16.9846 | + | 40.3577i | 0.783443 | + | 1.86156i | ||||
\(471\) | −21.8869 | − | 15.9018i | −1.00850 | − | 0.732715i | ||||
\(472\) | −53.9157 | + | 53.9157i | −2.48167 | + | 2.48167i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 5.82062i | 0.267350i | ||||||||
\(475\) | 4.56444 | − | 4.66884i | 0.209431 | − | 0.214221i | ||||
\(476\) | −8.32208 | + | 25.6127i | −0.381442 | + | 1.17396i | ||||
\(477\) | 2.94807 | − | 5.78592i | 0.134983 | − | 0.264919i | ||||
\(478\) | −0.902687 | + | 5.69934i | −0.0412880 | + | 0.260682i | ||||
\(479\) | 12.4456 | − | 9.04222i | 0.568652 | − | 0.413150i | −0.265963 | − | 0.963983i | \(-0.585690\pi\) |
0.834615 | + | 0.550833i | \(0.185690\pi\) | |||||||
\(480\) | −11.1442 | + | 18.4186i | −0.508661 | + | 0.840691i | ||||
\(481\) | −6.88441 | − | 2.23688i | −0.313902 | − | 0.101993i | ||||
\(482\) | 2.49678 | + | 15.7640i | 0.113725 | + | 0.718032i | ||||
\(483\) | 11.4723 | + | 11.4723i | 0.522008 | + | 0.522008i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.73516 | − | 0.126694i | −0.0787894 | − | 0.00575290i | ||||
\(486\) | −15.1714 | + | 20.8816i | −0.688189 | + | 0.947211i | ||||
\(487\) | 5.29826 | − | 2.69960i | 0.240087 | − | 0.122330i | −0.329808 | − | 0.944048i | \(-0.606984\pi\) |
0.569895 | + | 0.821718i | \(0.306984\pi\) | |||||||
\(488\) | 51.0585 | + | 26.0156i | 2.31131 | + | 1.17767i | ||||
\(489\) | −1.26472 | − | 1.74074i | −0.0571926 | − | 0.0787189i | ||||
\(490\) | 17.9721 | − | 11.1536i | 0.811897 | − | 0.503866i | ||||
\(491\) | 38.9464 | − | 12.6545i | 1.75763 | − | 0.571088i | 0.760677 | − | 0.649130i | \(-0.224867\pi\) |
0.996950 | + | 0.0780428i | \(0.0248671\pi\) | |||||||
\(492\) | 5.25406 | + | 10.3117i | 0.236871 | + | 0.464886i | ||||
\(493\) | −9.75693 | + | 1.54535i | −0.439430 | + | 0.0695988i | ||||
\(494\) | 7.46842 | 0.336020 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 27.0678 | 1.21538 | ||||||||
\(497\) | −12.0918 | + | 1.91516i | −0.542393 | + | 0.0859066i | ||||
\(498\) | 24.1490 | + | 47.3950i | 1.08214 | + | 2.12382i | ||||
\(499\) | −22.0520 | + | 7.16511i | −0.987181 | + | 0.320755i | −0.757732 | − | 0.652566i | \(-0.773692\pi\) |
−0.229449 | + | 0.973321i | \(0.573692\pi\) | |||||||
\(500\) | 18.1660 | − | 46.0504i | 0.812409 | − | 2.05943i | ||||
\(501\) | 2.22942 | + | 3.06853i | 0.0996031 | + | 0.137092i | ||||
\(502\) | 60.0770 | + | 30.6108i | 2.68137 | + | 1.36623i | ||||
\(503\) | −2.97901 | + | 1.51788i | −0.132827 | + | 0.0676789i | −0.519141 | − | 0.854688i | \(-0.673748\pi\) |
0.386314 | + | 0.922367i | \(0.373748\pi\) | |||||||
\(504\) | 6.66929 | − | 9.17950i | 0.297074 | − | 0.408887i | ||||
\(505\) | −14.2784 | − | 16.5277i | −0.635379 | − | 0.735473i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 11.2157 | + | 11.2157i | 0.498108 | + | 0.498108i | ||||
\(508\) | 0.142818 | + | 0.901717i | 0.00633652 | + | 0.0400072i | ||||
\(509\) | 21.0623 | + | 6.84355i | 0.933569 | + | 0.303335i | 0.736021 | − | 0.676959i | \(-0.236702\pi\) |
0.197547 | + | 0.980293i | \(0.436702\pi\) | |||||||
\(510\) | 9.13592 | + | 37.1280i | 0.404545 | + | 1.64405i | ||||
\(511\) | −13.8138 | + | 10.0363i | −0.611086 | + | 0.443980i | ||||
\(512\) | −7.92773 | + | 50.0537i | −0.350359 | + | 2.21208i | ||||
\(513\) | −2.35393 | + | 4.61984i | −0.103928 | + | 0.203971i | ||||
\(514\) | 15.4921 | − | 47.6799i | 0.683329 | − | 2.10307i | ||||
\(515\) | 6.73952 | − | 7.98189i | 0.296979 | − | 0.351724i | ||||
\(516\) | − | 57.1759i | − | 2.51703i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −10.4011 | + | 10.4011i | −0.456998 | + | 0.456998i | ||||
\(519\) | 30.7323 | + | 22.3283i | 1.34900 | + | 0.980105i | ||||
\(520\) | 28.6162 | − | 12.0432i | 1.25490 | − | 0.528129i | ||||
\(521\) | −3.28368 | − | 10.1061i | −0.143861 | − | 0.442758i | 0.853002 | − | 0.521908i | \(-0.174779\pi\) |
−0.996863 | + | 0.0791498i | \(0.974779\pi\) | |||||||
\(522\) | 7.49726 | + | 1.18745i | 0.328146 | + | 0.0519733i | ||||
\(523\) | −42.6943 | − | 6.76212i | −1.86689 | − | 0.295687i | −0.882318 | − | 0.470654i | \(-0.844018\pi\) |
−0.984574 | + | 0.174967i | \(0.944018\pi\) | |||||||
\(524\) | −0.754877 | − | 2.32327i | −0.0329770 | − | 0.101493i | ||||
\(525\) | −8.04521 | + | 16.2410i | −0.351122 | + | 0.708814i | ||||
\(526\) | 17.1648 | + | 12.4710i | 0.748422 | + | 0.543761i | ||||
\(527\) | 9.53941 | − | 9.53941i | 0.415543 | − | 0.415543i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.96712i | 0.129005i | ||||||||
\(530\) | −3.03632 | − | 35.9787i | −0.131889 | − | 1.56281i | ||||
\(531\) | 3.90298 | − | 12.0121i | 0.169375 | − | 0.521283i | ||||
\(532\) | 4.74607 | − | 9.31468i | 0.205768 | − | 0.403842i | ||||
\(533\) | 0.460050 | − | 2.90464i | 0.0199270 | − | 0.125814i | ||||
\(534\) | −15.8627 | + | 11.5249i | −0.686445 | + | 0.498731i | ||||
\(535\) | −33.2247 | + | 8.17545i | −1.43643 | + | 0.353456i | ||||
\(536\) | −20.3849 | − | 6.62347i | −0.880495 | − | 0.286090i | ||||
\(537\) | 5.13822 | + | 32.4414i | 0.221731 | + | 1.39995i | ||||
\(538\) | −17.4086 | − | 17.4086i | −0.750538 | − | 0.750538i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.86274 | + | 39.2069i | −0.123193 | + | 1.68720i | ||||
\(541\) | 12.4089 | − | 17.0793i | 0.533499 | − | 0.734298i | −0.454160 | − | 0.890920i | \(-0.650060\pi\) |
0.987659 | + | 0.156622i | \(0.0500604\pi\) | |||||||
\(542\) | 6.89317 | − | 3.51224i | 0.296087 | − | 0.150864i | ||||
\(543\) | −26.5516 | − | 13.5287i | −1.13944 | − | 0.580573i | ||||
\(544\) | −9.49513 | − | 13.0689i | −0.407100 | − | 0.560325i | ||||
\(545\) | 9.11534 | − | 38.9365i | 0.390458 | − | 1.66786i | ||||
\(546\) | −19.7165 | + | 6.40629i | −0.843789 | + | 0.274164i | ||||
\(547\) | −0.632824 | − | 1.24199i | −0.0270576 | − | 0.0531036i | 0.877082 | − | 0.480341i | \(-0.159487\pi\) |
−0.904140 | + | 0.427237i | \(0.859487\pi\) | |||||||
\(548\) | 67.6823 | − | 10.7198i | 2.89125 | − | 0.457928i | ||||
\(549\) | −9.49230 | −0.405121 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.83469 | 0.163363 | ||||||||
\(552\) | −54.5530 | + | 8.64035i | −2.32193 | + | 0.367758i | ||||
\(553\) | −0.939938 | − | 1.84473i | −0.0399702 | − | 0.0784460i | ||||
\(554\) | 5.73906 | − | 1.86473i | 0.243829 | − | 0.0792249i | ||||
\(555\) | −3.27918 | + | 14.0071i | −0.139193 | + | 0.594570i | ||||
\(556\) | 3.70275 | + | 5.09639i | 0.157031 | + | 0.216135i | ||||
\(557\) | −3.41464 | − | 1.73985i | −0.144683 | − | 0.0737197i | 0.380150 | − | 0.924925i | \(-0.375872\pi\) |
−0.524833 | + | 0.851205i | \(0.675872\pi\) | |||||||
\(558\) | −9.23649 | + | 4.70623i | −0.391012 | + | 0.199231i | ||||
\(559\) | −8.53997 | + | 11.7543i | −0.361202 | + | 0.497152i | ||||
\(560\) | 1.98715 | − | 27.2152i | 0.0839722 | − | 1.15005i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −50.6125 | − | 50.6125i | −2.13496 | − | 2.13496i | ||||
\(563\) | −0.382035 | − | 2.41207i | −0.0161008 | − | 0.101657i | 0.978329 | − | 0.207056i | \(-0.0663881\pi\) |
−0.994430 | + | 0.105399i | \(0.966388\pi\) | |||||||
\(564\) | 65.2083 | + | 21.1875i | 2.74576 | + | 0.892153i | ||||
\(565\) | −16.2186 | + | 3.99085i | −0.682323 | + | 0.167896i | ||||
\(566\) | 34.8963 | − | 25.3537i | 1.46680 | − | 1.06569i | ||||
\(567\) | 3.11664 | − | 19.6777i | 0.130886 | − | 0.826384i | ||||
\(568\) | 18.9214 | − | 37.1353i | 0.793923 | − | 1.55816i | ||||
\(569\) | −1.99158 | + | 6.12946i | −0.0834915 | + | 0.256961i | −0.984084 | − | 0.177704i | \(-0.943133\pi\) |
0.900592 | + | 0.434665i | \(0.143133\pi\) | |||||||
\(570\) | −1.24815 | − | 14.7898i | −0.0522791 | − | 0.619477i | ||||
\(571\) | 13.2864i | 0.556019i | 0.960578 | + | 0.278009i | \(0.0896747\pi\) | ||||
−0.960578 | + | 0.278009i | \(0.910325\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 2.70715 | − | 2.70715i | 0.113093 | − | 0.113093i | ||||
\(574\) | −4.83464 | − | 3.51257i | −0.201794 | − | 0.146612i | ||||
\(575\) | 21.2042 | − | 7.15570i | 0.884276 | − | 0.298413i | ||||
\(576\) | −0.417358 | − | 1.28450i | −0.0173899 | − | 0.0535206i | ||||
\(577\) | −18.4981 | − | 2.92981i | −0.770085 | − | 0.121969i | −0.240985 | − | 0.970529i | \(-0.577470\pi\) |
−0.529100 | + | 0.848559i | \(0.677470\pi\) | |||||||
\(578\) | 14.2313 | + | 2.25402i | 0.591946 | + | 0.0937550i | ||||
\(579\) | −7.05223 | − | 21.7045i | −0.293081 | − | 0.902010i | ||||
\(580\) | 26.7974 | − | 11.2777i | 1.11270 | − | 0.468282i | ||||
\(581\) | −15.3071 | − | 11.1213i | −0.635045 | − | 0.461387i | ||||
\(582\) | −2.79649 | + | 2.79649i | −0.115918 | + | 0.115918i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 58.1284i | − | 2.40537i | ||||||
\(585\) | −3.31787 | + | 3.92949i | −0.137177 | + | 0.162464i | ||||
\(586\) | 8.37110 | − | 25.7636i | 0.345807 | − | 1.06428i | ||||
\(587\) | −3.82673 | + | 7.51037i | −0.157946 | + | 0.309986i | −0.956395 | − | 0.292076i | \(-0.905654\pi\) |
0.798449 | + | 0.602062i | \(0.205654\pi\) | |||||||
\(588\) | 5.18131 | − | 32.7135i | 0.213673 | − | 1.34908i | ||||
\(589\) | −4.23674 | + | 3.07817i | −0.174572 | + | 0.126834i | ||||
\(590\) | −16.7801 | − | 68.1935i | −0.690826 | − | 2.80748i | ||||
\(591\) | −37.2374 | − | 12.0992i | −1.53174 | − | 0.497693i | ||||
\(592\) | −3.38820 | − | 21.3923i | −0.139254 | − | 0.879217i | ||||
\(593\) | −4.37233 | − | 4.37233i | −0.179550 | − | 0.179550i | 0.611610 | − | 0.791160i | \(-0.290522\pi\) |
−0.791160 | + | 0.611610i | \(0.790522\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.89103 | − | 10.2917i | −0.364497 | − | 0.421918i | ||||
\(596\) | −61.9543 | + | 85.2728i | −2.53775 | + | 3.49291i | ||||
\(597\) | −39.9268 | + | 20.3437i | −1.63409 | + | 0.832612i | ||||
\(598\) | 22.8078 | + | 11.6211i | 0.932679 | + | 0.475224i | ||||
\(599\) | 21.5069 | + | 29.6017i | 0.878748 | + | 1.20949i | 0.976766 | + | 0.214308i | \(0.0687496\pi\) |
−0.0980183 | + | 0.995185i | \(0.531250\pi\) | |||||||
\(600\) | −28.6317 | − | 54.6564i | −1.16889 | − | 2.23134i | ||||
\(601\) | 10.2436 | − | 3.32834i | 0.417844 | − | 0.135766i | −0.0925467 | − | 0.995708i | \(-0.529501\pi\) |
0.510391 | + | 0.859943i | \(0.329501\pi\) | |||||||
\(602\) | 13.4035 | + | 26.3058i | 0.546286 | + | 1.07215i | ||||
\(603\) | 3.50677 | − | 0.555417i | 0.142807 | − | 0.0226183i | ||||
\(604\) | −63.6982 | −2.59184 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −49.6491 | −2.01686 | ||||||||
\(607\) | −32.6877 | + | 5.17723i | −1.32675 | + | 0.210137i | −0.779275 | − | 0.626682i | \(-0.784412\pi\) |
−0.547479 | + | 0.836819i | \(0.684412\pi\) | |||||||
\(608\) | 2.84686 | + | 5.58728i | 0.115455 | + | 0.226594i | ||||
\(609\) | −10.1235 | + | 3.28934i | −0.410226 | + | 0.133291i | ||||
\(610\) | −44.8453 | + | 27.8312i | −1.81573 | + | 1.12685i | ||||
\(611\) | −10.2409 | − | 14.0955i | −0.414304 | − | 0.570241i | ||||
\(612\) | 13.5315 | + | 6.89467i | 0.546980 | + | 0.278700i | ||||
\(613\) | −19.2801 | + | 9.82369i | −0.778715 | + | 0.396775i | −0.797708 | − | 0.603044i | \(-0.793954\pi\) |
0.0189923 | + | 0.999820i | \(0.493954\pi\) | |||||||
\(614\) | 48.4557 | − | 66.6936i | 1.95551 | − | 2.69153i | ||||
\(615\) | −5.82899 | − | 0.425611i | −0.235048 | − | 0.0171623i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −23.2611 | − | 23.2611i | −0.936455 | − | 0.936455i | 0.0616431 | − | 0.998098i | \(-0.480366\pi\) |
−0.998098 | + | 0.0616431i | \(0.980366\pi\) | |||||||
\(618\) | −3.71487 | − | 23.4547i | −0.149434 | − | 0.943488i | ||||
\(619\) | −39.3965 | − | 12.8007i | −1.58348 | − | 0.514503i | −0.620528 | − | 0.784184i | \(-0.713082\pi\) |
−0.962950 | + | 0.269681i | \(0.913082\pi\) | |||||||
\(620\) | −20.5541 | + | 33.9708i | −0.825472 | + | 1.36430i | ||||
\(621\) | −14.3773 | + | 10.4457i | −0.576941 | + | 0.419172i | ||||
\(622\) | 5.50836 | − | 34.7784i | 0.220865 | − | 1.39449i | ||||
\(623\) | 3.16627 | − | 6.21416i | 0.126854 | − | 0.248965i | ||||
\(624\) | 9.43299 | − | 29.0318i | 0.377622 | − | 1.16220i | ||||
\(625\) | 15.1482 | + | 19.8880i | 0.605927 | + | 0.795520i | ||||
\(626\) | − | 44.0839i | − | 1.76195i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −42.2480 | + | 42.2480i | −1.68588 | + | 1.68588i | ||||
\(629\) | −8.73332 | − | 6.34513i | −0.348220 | − | 0.252997i | ||||
\(630\) | 4.05377 | + | 9.63229i | 0.161506 | + | 0.383760i | ||||
\(631\) | −9.72155 | − | 29.9199i | −0.387009 | − | 1.19109i | −0.935013 | − | 0.354615i | \(-0.884612\pi\) |
0.548004 | − | 0.836476i | \(-0.315388\pi\) | |||||||
\(632\) | 6.96154 | + | 1.10260i | 0.276915 | + | 0.0438591i | ||||
\(633\) | 0.745631 | + | 0.118096i | 0.0296362 | + | 0.00469391i | ||||
\(634\) | −12.6582 | − | 38.9581i | −0.502723 | − | 1.54722i | ||||
\(635\) | −0.426948 | − | 0.174026i | −0.0169429 | − | 0.00690603i | ||||
\(636\) | −45.7408 | − | 33.2326i | −1.81374 | − | 1.31776i | ||||
\(637\) | −5.95137 | + | 5.95137i | −0.235802 | + | 0.235802i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 6.90382i | 0.273111i | ||||||||
\(640\) | −22.1463 | − | 18.6992i | −0.875408 | − | 0.739152i | ||||
\(641\) | 6.34149 | − | 19.5171i | 0.250474 | − | 0.770879i | −0.744214 | − | 0.667941i | \(-0.767176\pi\) |
0.994688 | − | 0.102938i | \(-0.0328243\pi\) | |||||||
\(642\) | −35.3108 | + | 69.3014i | −1.39361 | + | 2.73511i | ||||
\(643\) | −2.75681 | + | 17.4058i | −0.108718 | + | 0.686419i | 0.871781 | + | 0.489896i | \(0.162965\pi\) |
−0.980499 | + | 0.196523i | \(0.937035\pi\) | |||||||
\(644\) | 28.9880 | − | 21.0610i | 1.14229 | − | 0.829919i | ||||
\(645\) | 24.7044 | + | 14.9474i | 0.972733 | + | 0.588554i | ||||
\(646\) | 10.5924 | + | 3.44169i | 0.416754 | + | 0.135412i | ||||
\(647\) | −0.901299 | − | 5.69058i | −0.0354337 | − | 0.223720i | 0.963617 | − | 0.267288i | \(-0.0861274\pi\) |
−0.999050 | + | 0.0435681i | \(0.986127\pi\) | |||||||
\(648\) | 47.9592 | + | 47.9592i | 1.88401 | + | 1.88401i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −4.15374 | + | 28.2924i | −0.162923 | + | 1.10972i | ||||
\(651\) | 8.54453 | − | 11.7605i | 0.334886 | − | 0.460932i | ||||
\(652\) | −4.23400 | + | 2.15733i | −0.165816 | + | 0.0844876i | ||||
\(653\) | −5.19830 | − | 2.64867i | −0.203425 | − | 0.103650i | 0.349310 | − | 0.937007i | \(-0.386416\pi\) |
−0.552735 | + | 0.833357i | \(0.686416\pi\) | |||||||
\(654\) | −53.4315 | − | 73.5421i | −2.08934 | − | 2.87573i | ||||
\(655\) | 1.20118 | + | 0.281206i | 0.0469340 | + | 0.0109876i | ||||
\(656\) | 8.36866 | − | 2.71914i | 0.326741 | − | 0.106165i | ||||
\(657\) | 4.37138 | + | 8.57932i | 0.170544 | + | 0.334711i | ||||
\(658\) | −34.9683 | + | 5.53844i | −1.36321 | + | 0.215911i | ||||
\(659\) | 5.21347 | 0.203088 | 0.101544 | − | 0.994831i | \(-0.467622\pi\) | ||||
0.101544 | + | 0.994831i | \(0.467622\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.56016 | 0.177369 | 0.0886847 | − | 0.996060i | \(-0.471734\pi\) | ||||
0.0886847 | + | 0.996060i | \(0.471734\pi\) | |||||||
\(662\) | 36.7694 | − | 5.82370i | 1.42908 | − | 0.226344i | ||||
\(663\) | −6.90714 | − | 13.5560i | −0.268251 | − | 0.526472i | ||||
\(664\) | 61.2597 | − | 19.9045i | 2.37734 | − | 0.772443i | ||||
\(665\) | 2.78390 | + | 4.48579i | 0.107955 | + | 0.173952i | ||||
\(666\) | 4.87562 | + | 6.71071i | 0.188926 | + | 0.260035i | ||||
\(667\) | 11.7107 | + | 5.96692i | 0.453442 | + | 0.231040i | ||||
\(668\) | 7.46360 | − | 3.80289i | 0.288775 | − | 0.147138i | ||||
\(669\) | −8.96724 | + | 12.3423i | −0.346693 | + | 0.477182i | ||||
\(670\) | 14.9389 | − | 12.9058i | 0.577139 | − | 0.498593i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −12.3084 | − | 12.3084i | −0.474805 | − | 0.474805i | ||||
\(673\) | −0.0875074 | − | 0.552500i | −0.00337316 | − | 0.0212973i | 0.985944 | − | 0.167074i | \(-0.0534319\pi\) |
−0.989318 | + | 0.145777i | \(0.953432\pi\) | |||||||
\(674\) | −32.5300 | − | 10.5696i | −1.25301 | − | 0.407127i | ||||
\(675\) | −16.1920 | − | 11.4867i | −0.623231 | − | 0.442125i | ||||
\(676\) | 28.3397 | − | 20.5900i | 1.08999 | − | 0.791922i | ||||
\(677\) | −4.55413 | + | 28.7536i | −0.175029 | + | 1.10509i | 0.731156 | + | 0.682211i | \(0.238981\pi\) |
−0.906185 | + | 0.422881i | \(0.861019\pi\) | |||||||
\(678\) | −17.2370 | + | 33.8295i | −0.661983 | + | 1.29922i | ||||
\(679\) | 0.434705 | − | 1.33788i | 0.0166824 | − | 0.0513433i | ||||
\(680\) | 46.1362 | − | 3.89354i | 1.76924 | − | 0.149311i | ||||
\(681\) | − | 16.4454i | − | 0.630190i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.43554 | − | 5.43554i | 0.207985 | − | 0.207985i | −0.595425 | − | 0.803411i | \(-0.703016\pi\) |
0.803411 | + | 0.595425i | \(0.203016\pi\) | |||||||
\(684\) | −4.76938 | − | 3.46516i | −0.182362 | − | 0.132494i | ||||
\(685\) | −13.0623 | + | 32.0464i | −0.499086 | + | 1.22443i | ||||
\(686\) | 15.2005 | + | 46.7824i | 0.580359 | + | 1.78616i | ||||
\(687\) | 15.0281 | + | 2.38022i | 0.573357 | + | 0.0908109i | ||||
\(688\) | −42.9373 | − | 6.80059i | −1.63697 | − | 0.259270i | ||||
\(689\) | 4.43970 | + | 13.6640i | 0.169139 | + | 0.520556i | ||||
\(690\) | 19.2018 | − | 47.1087i | 0.731000 | − | 1.79340i | ||||
\(691\) | 7.63722 | + | 5.54876i | 0.290533 | + | 0.211085i | 0.723499 | − | 0.690326i | \(-0.242533\pi\) |
−0.432965 | + | 0.901411i | \(0.642533\pi\) | |||||||
\(692\) | 59.3222 | − | 59.3222i | 2.25509 | − | 2.25509i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 31.0215i | − | 1.17756i | ||||||
\(695\) | −3.17004 | + | 0.267527i | −0.120246 | + | 0.0101479i | ||||
\(696\) | 11.1980 | − | 34.4640i | 0.424460 | − | 1.30635i | ||||
\(697\) | 1.99104 | − | 3.90764i | 0.0754162 | − | 0.148013i | ||||
\(698\) | −8.07944 | + | 51.0116i | −0.305811 | + | 1.93082i | ||||
\(699\) | 42.5240 | − | 30.8955i | 1.60840 | − | 1.16857i | ||||
\(700\) | 32.6468 | + | 23.1599i | 1.23393 | + | 0.875364i | ||||
\(701\) | −18.7439 | − | 6.09025i | −0.707946 | − | 0.230026i | −0.0671568 | − | 0.997742i | \(-0.521393\pi\) |
−0.640789 | + | 0.767717i | \(0.721393\pi\) | |||||||
\(702\) | −3.55231 | − | 22.4284i | −0.134073 | − | 0.846505i | ||||
\(703\) | 2.96308 | + | 2.96308i | 0.111755 | + | 0.111755i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −26.2019 | + | 22.6360i | −0.986822 | + | 0.852520i | ||||
\(706\) | 29.0592 | − | 39.9966i | 1.09366 | − | 1.50529i | ||||
\(707\) | 15.7353 | − | 8.01754i | 0.591787 | − | 0.301531i | ||||
\(708\) | −97.9827 | − | 49.9247i | −3.68241 | − | 1.87628i | ||||
\(709\) | −26.1327 | − | 35.9685i | −0.981433 | − | 1.35083i | −0.936054 | − | 0.351857i | \(-0.885550\pi\) |
−0.0453796 | − | 0.998970i | \(-0.514450\pi\) | |||||||
\(710\) | 20.2418 | + | 32.6164i | 0.759663 | + | 1.22407i | ||||
\(711\) | −1.11039 | + | 0.360788i | −0.0416429 | + | 0.0135306i | ||||
\(712\) | 10.7791 | + | 21.1551i | 0.403963 | + | 0.792822i | ||||
\(713\) | −17.7283 | + | 2.80789i | −0.663930 | + | 0.105156i | ||||
\(714\) | −30.9161 | −1.15701 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 72.5395 | 2.71093 | ||||||||
\(717\) | −4.50697 | + | 0.713834i | −0.168316 | + | 0.0266586i | ||||
\(718\) | 19.0144 | + | 37.3178i | 0.709610 | + | 1.39269i | ||||
\(719\) | 22.8147 | − | 7.41293i | 0.850843 | − | 0.276456i | 0.149044 | − | 0.988831i | \(-0.452380\pi\) |
0.701799 | + | 0.712375i | \(0.252380\pi\) | |||||||
\(720\) | −14.9829 | − | 3.50762i | −0.558380 | − | 0.130721i | ||||
\(721\) | 4.96493 | + | 6.83363i | 0.184903 | + | 0.254498i | ||||
\(722\) | 39.0683 | + | 19.9063i | 1.45397 | + | 0.740835i | ||||
\(723\) | −11.2458 | + | 5.73000i | −0.418234 | + | 0.213101i | ||||
\(724\) | −38.6833 | + | 53.2430i | −1.43765 | + | 1.97876i | ||||
\(725\) | −2.13276 | + | 14.5268i | −0.0792087 | + | 0.539513i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −17.6187 | − | 17.6187i | −0.653441 | − | 0.653441i | 0.300379 | − | 0.953820i | \(-0.402887\pi\) |
−0.953820 | + | 0.300379i | \(0.902887\pi\) | |||||||
\(728\) | 3.92711 | + | 24.7948i | 0.145548 | + | 0.918956i | ||||
\(729\) | 12.0275 | + | 3.90797i | 0.445462 | + | 0.144739i | ||||
\(730\) | 45.8065 | + | 27.7153i | 1.69538 | + | 1.02579i | ||||
\(731\) | −17.5290 | + | 12.7355i | −0.648332 | + | 0.471041i | ||||
\(732\) | −12.9288 | + | 81.6292i | −0.477862 | + | 3.01710i | ||||
\(733\) | 0.0245615 | − | 0.0482047i | 0.000907200 | − | 0.00178048i | −0.890552 | − | 0.454881i | \(-0.849682\pi\) |
0.891460 | + | 0.453100i | \(0.149682\pi\) | |||||||
\(734\) | −5.04650 | + | 15.5315i | −0.186270 | + | 0.573280i | ||||
\(735\) | 12.7802 | + | 10.7910i | 0.471405 | + | 0.398031i | ||||
\(736\) | 21.4928i | 0.792235i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −2.38292 | + | 2.38292i | −0.0877163 | + | 0.0877163i | ||||
\(739\) | −15.5776 | − | 11.3178i | −0.573031 | − | 0.416331i | 0.263174 | − | 0.964748i | \(-0.415231\pi\) |
−0.836205 | + | 0.548417i | \(0.815231\pi\) | |||||||
\(740\) | 29.4208 | + | 11.9921i | 1.08153 | + | 0.440838i | ||||
\(741\) | 1.82504 | + | 5.61688i | 0.0670444 | + | 0.206341i | ||||
\(742\) | 28.8353 | + | 4.56706i | 1.05858 | + | 0.167662i | ||||
\(743\) | 7.35679 | + | 1.16520i | 0.269895 | + | 0.0427471i | 0.289915 | − | 0.957052i | \(-0.406373\pi\) |
−0.0200201 | + | 0.999800i | \(0.506373\pi\) | |||||||
\(744\) | 15.2927 | + | 47.0662i | 0.560659 | + | 1.72553i | ||||
\(745\) | −20.6478 | − | 49.0618i | −0.756476 | − | 1.79749i | ||||
\(746\) | −28.1261 | − | 20.4348i | −1.02977 | − | 0.748171i | ||||
\(747\) | −7.54462 | + | 7.54462i | −0.276043 | + | 0.276043i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 27.6659i | − | 1.01089i | ||||||
\(750\) | 56.7220 | + | 3.49741i | 2.07119 | + | 0.127707i | ||||
\(751\) | −9.31643 | + | 28.6730i | −0.339962 | + | 1.04629i | 0.624265 | + | 0.781213i | \(0.285399\pi\) |
−0.964226 | + | 0.265081i | \(0.914601\pi\) | |||||||
\(752\) | 23.6671 | − | 46.4493i | 0.863050 | − | 1.69383i | ||||
\(753\) | −8.34104 | + | 52.6633i | −0.303964 | + | 1.91916i | ||||
\(754\) | −13.5869 | + | 9.87144i | −0.494805 | + | 0.359497i | ||||
\(755\) | 16.6525 | − | 27.5225i | 0.606048 | − | 1.00165i | ||||
\(756\) | −30.2303 | − | 9.82242i | −1.09947 | − | 0.357238i | ||||
\(757\) | −6.96174 | − | 43.9547i | −0.253029 | − | 1.59756i | −0.707444 | − | 0.706770i | \(-0.750152\pi\) |
0.454415 | − | 0.890790i | \(-0.349848\pi\) | |||||||
\(758\) | 38.5456 | + | 38.5456i | 1.40004 | + | 1.40004i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −17.9253 | − | 1.30883i | −0.650218 | − | 0.0474764i | ||||
\(761\) | −27.6916 | + | 38.1143i | −1.00382 | + | 1.38164i | −0.0808703 | + | 0.996725i | \(0.525770\pi\) |
−0.922951 | + | 0.384917i | \(0.874230\pi\) | |||||||
\(762\) | −0.933828 | + | 0.475809i | −0.0338290 | + | 0.0172367i | ||||
\(763\) | 28.8100 | + | 14.6794i | 1.04299 | + | 0.531430i | ||||
\(764\) | −4.96982 | − | 6.84037i | −0.179802 | − | 0.247476i | ||||
\(765\) | −6.51656 | + | 4.04420i | −0.235607 | + | 0.146218i | ||||
\(766\) | −0.731646 | + | 0.237726i | −0.0264354 | + | 0.00858940i | ||||
\(767\) | 12.6865 | + | 24.8986i | 0.458081 | + | 0.899035i | ||||
\(768\) | −59.8305 | + | 9.47622i | −2.15895 | + | 0.341944i | ||||
\(769\) | −29.7849 | −1.07407 | −0.537036 | − | 0.843559i | \(-0.680456\pi\) | ||||
−0.537036 | + | 0.843559i | \(0.680456\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 39.6451 | 1.42778 | ||||||||
\(772\) | −49.7804 | + | 7.88444i | −1.79164 | + | 0.283767i | ||||
\(773\) | −3.23394 | − | 6.34696i | −0.116317 | − | 0.228284i | 0.825507 | − | 0.564392i | \(-0.190889\pi\) |
−0.941824 | + | 0.336108i | \(0.890889\pi\) | |||||||
\(774\) | 15.8342 | − | 5.14483i | 0.569147 | − | 0.184927i | ||||
\(775\) | −9.30457 | − | 17.7619i | −0.334230 | − | 0.638026i | ||||
\(776\) | 2.81491 | + | 3.87439i | 0.101049 | + | 0.139082i | ||||
\(777\) | −10.3642 | − | 5.28082i | −0.371813 | − | 0.189448i | ||||
\(778\) | −8.13528 | + | 4.14513i | −0.291664 | + | 0.148610i | ||||
\(779\) | −1.00067 | + | 1.37730i | −0.0358527 | + | 0.0493470i | ||||
\(780\) | 29.2727 | + | 33.8842i | 1.04813 | + | 1.21325i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 26.9928 | + | 26.9928i | 0.965260 | + | 0.965260i | ||||
\(783\) | −1.82395 | − | 11.5159i | −0.0651826 | − | 0.411546i | ||||
\(784\) | −23.9505 | − | 7.78200i | −0.855376 | − | 0.277928i | ||||
\(785\) | −7.20954 | − | 29.2992i | −0.257320 | − | 1.04574i | ||||
\(786\) | 2.26875 | − | 1.64835i | 0.0809237 | − | 0.0587945i | ||||
\(787\) | −4.51422 | + | 28.5017i | −0.160915 | + | 1.01597i | 0.766583 | + | 0.642145i | \(0.221955\pi\) |
−0.927498 | + | 0.373829i | \(0.878045\pi\) | |||||||
\(788\) | −39.2567 | + | 77.0457i | −1.39846 | + | 2.74464i | ||||
\(789\) | −5.18471 | + | 15.9569i | −0.184581 | + | 0.568081i | ||||
\(790\) | −4.18810 | + | 4.96014i | −0.149006 | + | 0.176474i | ||||
\(791\) | − | 13.5051i | − | 0.480187i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 14.8503 | − | 14.8503i | 0.527350 | − | 0.527350i | ||||
\(794\) | 64.3320 | + | 46.7400i | 2.28306 | + | 1.65874i | ||||
\(795\) | 26.3170 | − | 11.0756i | 0.933368 | − | 0.392810i | ||||
\(796\) | 30.5816 | + | 94.1204i | 1.08394 | + | 3.33601i | ||||
\(797\) | 30.5579 | + | 4.83989i | 1.08241 | + | 0.171438i | 0.672066 | − | 0.740491i | \(-0.265407\pi\) |
0.410349 | + | 0.911929i | \(0.365407\pi\) | |||||||
\(798\) | 11.8534 | + | 1.87739i | 0.419605 | + | 0.0664590i | ||||
\(799\) | −8.02906 | − | 24.7109i | −0.284048 | − | 0.874209i | ||||
\(800\) | −22.7495 | + | 7.67717i | −0.804315 | + | 0.271429i | ||||
\(801\) | −3.18183 | − | 2.31173i | −0.112424 | − | 0.0816811i | ||||
\(802\) | 17.9225 | − | 17.9225i | 0.632866 | − | 0.632866i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 30.9130i | − | 1.09022i | ||||||
\(805\) | 1.52168 | + | 18.0310i | 0.0536320 | + | 0.635509i | ||||
\(806\) | 7.08741 | − | 21.8128i | 0.249644 | − | 0.768324i | ||||
\(807\) | 8.83865 | − | 17.3468i | 0.311135 | − | 0.610637i | ||||
\(808\) | −9.40503 | + | 59.3810i | −0.330868 | + | 2.08902i | ||||
\(809\) | 15.9139 | − | 11.5621i | 0.559503 | − | 0.406503i | −0.271774 | − | 0.962361i | \(-0.587610\pi\) |
0.831277 | + | 0.555858i | \(0.187610\pi\) | |||||||
\(810\) | −60.6596 | + | 14.9263i | −2.13136 | + | 0.524455i | ||||
\(811\) | 40.1916 | + | 13.0591i | 1.41132 | + | 0.458565i | 0.912833 | − | 0.408332i | \(-0.133890\pi\) |
0.498486 | + | 0.866898i | \(0.333890\pi\) | |||||||
\(812\) | 3.67750 | + | 23.2188i | 0.129055 | + | 0.814821i | ||||
\(813\) | 4.32597 | + | 4.32597i | 0.151718 | + | 0.151718i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.174757 | − | 2.39340i | 0.00612147 | − | 0.0838373i | ||||
\(816\) | 26.7576 | − | 36.8286i | 0.936703 | − | 1.28926i | ||||
\(817\) | 7.49406 | − | 3.81841i | 0.262184 | − | 0.133589i | ||||
\(818\) | −68.6529 | − | 34.9804i | −2.40039 | − | 1.22306i | ||||
\(819\) | −2.44424 | − | 3.36420i | −0.0854085 | − | 0.117555i | ||||
\(820\) | −2.94220 | + | 12.5677i | −0.102746 | + | 0.438884i | ||||
\(821\) | −50.5707 | + | 16.4314i | −1.76493 | + | 0.573461i | −0.997692 | − | 0.0679009i | \(-0.978370\pi\) |
−0.767239 | + | 0.641362i | \(0.778370\pi\) | |||||||
\(822\) | 35.7139 | + | 70.0925i | 1.24567 | + | 2.44476i | ||||
\(823\) | 1.38321 | − | 0.219079i | 0.0482157 | − | 0.00763662i | −0.132280 | − | 0.991212i | \(-0.542230\pi\) |
0.180496 | + | 0.983576i | \(0.442230\pi\) | |||||||
\(824\) | −28.7559 | −1.00176 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 56.7841 | 1.97577 | ||||||||
\(827\) | 17.0735 | − | 2.70418i | 0.593704 | − | 0.0940334i | 0.147650 | − | 0.989040i | \(-0.452829\pi\) |
0.446054 | + | 0.895006i | \(0.352829\pi\) | |||||||
\(828\) | −9.17326 | − | 18.0035i | −0.318793 | − | 0.625666i | ||||
\(829\) | −34.1356 | + | 11.0913i | −1.18558 | + | 0.385217i | −0.834436 | − | 0.551105i | \(-0.814206\pi\) |
−0.351141 | + | 0.936322i | \(0.614206\pi\) | |||||||
\(830\) | −13.5231 | + | 57.7644i | −0.469394 | + | 2.00503i | ||||
\(831\) | 2.80487 | + | 3.86058i | 0.0973000 | + | 0.133922i | ||||
\(832\) | 2.66248 | + | 1.35660i | 0.0923049 | + | 0.0470317i | ||||
\(833\) | −11.1834 | + | 5.69823i | −0.387482 | + | 0.197432i | ||||
\(834\) | −4.25069 | + | 5.85057i | −0.147189 | + | 0.202589i | ||||
\(835\) | −0.308058 | + | 4.21903i | −0.0106608 | + | 0.146006i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 11.2592 | + | 11.2592i | 0.389176 | + | 0.389176i | ||||
\(838\) | −2.96737 | − | 18.7352i | −0.102506 | − | 0.647198i | ||||
\(839\) | −4.71797 | − | 1.53296i | −0.162883 | − | 0.0529238i | 0.226441 | − | 0.974025i | \(-0.427291\pi\) |
−0.389323 | + | 0.921101i | \(0.627291\pi\) | |||||||
\(840\) | 48.4452 | − | 11.9207i | 1.67152 | − | 0.411303i | ||||
\(841\) | 16.4853 | − | 11.9772i | 0.568457 | − | 0.413008i | ||||
\(842\) | 8.09995 | − | 51.1411i | 0.279143 | − | 1.76244i | ||||
\(843\) | 25.6968 | − | 50.4329i | 0.885046 | − | 1.73700i | ||||
\(844\) | 0.515206 | − | 1.58564i | 0.0177341 | − | 0.0545800i | ||||
\(845\) | 1.48764 | + | 17.6277i | 0.0511765 | + | 0.606412i | ||||
\(846\) | 19.9651i | 0.686415i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −30.3971 | + | 30.3971i | −1.04384 | + | 1.04384i | ||||
\(849\) | 27.5956 | + | 20.0494i | 0.947079 | + | 0.688093i | ||||
\(850\) | −18.9293 | + | 38.2128i | −0.649270 | + | 1.31069i | ||||
\(851\) | 4.43828 | + | 13.6596i | 0.152142 | + | 0.468246i | ||||
\(852\) | 59.3695 | + | 9.40321i | 2.03397 | + | 0.322149i | ||||
\(853\) | 26.2500 | + | 4.15759i | 0.898782 | + | 0.142353i | 0.588695 | − | 0.808355i | \(-0.299642\pi\) |
0.310087 | + | 0.950708i | \(0.399642\pi\) | |||||||
\(854\) | −13.1876 | − | 40.5873i | −0.451271 | − | 1.38887i | ||||
\(855\) | 2.74407 | − | 1.15485i | 0.0938451 | − | 0.0394949i | ||||
\(856\) | 76.1965 | + | 55.3600i | 2.60434 | + | 1.89217i | ||||
\(857\) | 1.04396 | − | 1.04396i | 0.0356609 | − | 0.0356609i | −0.689051 | − | 0.724712i | \(-0.741973\pi\) |
0.724712 | + | 0.689051i | \(0.241973\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 13.9402i | 0.475633i | 0.971310 | + | 0.237816i | \(0.0764316\pi\) | ||||
−0.971310 | + | 0.237816i | \(0.923568\pi\) | |||||||
\(860\) | 41.1397 | − | 48.7234i | 1.40285 | − | 1.66145i | ||||
\(861\) | 1.46032 | − | 4.49441i | 0.0497677 | − | 0.153169i | ||||
\(862\) | 38.7497 | − | 76.0505i | 1.31982 | − | 2.59029i | ||||
\(863\) | 8.02648 | − | 50.6772i | 0.273225 | − | 1.72507i | −0.344594 | − | 0.938752i | \(-0.611983\pi\) |
0.617819 | − | 0.786321i | \(-0.288017\pi\) | |||||||
\(864\) | 15.4250 | − | 11.2070i | 0.524771 | − | 0.381268i | ||||
\(865\) | 10.1232 | + | 41.1403i | 0.344200 | + | 1.39881i | ||||
\(866\) | −27.9681 | − | 9.08738i | −0.950394 | − | 0.308802i | ||||
\(867\) | 1.78245 | + | 11.2540i | 0.0605353 | + | 0.382205i | ||||
\(868\) | −22.7012 | − | 22.7012i | −0.770529 | − | 0.770529i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 21.8192 | + | 25.2565i | 0.739742 | + | 0.856277i | ||||
\(871\) | −4.61726 | + | 6.35512i | −0.156450 | + | 0.215335i | ||||
\(872\) | −98.0790 | + | 49.9738i | −3.32137 | + | 1.69232i | ||||
\(873\) | −0.706822 | − | 0.360144i | −0.0239223 | − | 0.0121890i | ||||
\(874\) | −8.71002 | − | 11.9883i | −0.294621 | − | 0.405511i | ||||
\(875\) | −18.5417 | + | 8.05127i | −0.626824 | + | 0.272183i | ||||
\(876\) | 79.7320 | − | 25.9065i | 2.69389 | − | 0.875300i | ||||
\(877\) | −3.02958 | − | 5.94588i | −0.102301 | − | 0.200778i | 0.834182 | − | 0.551489i | \(-0.185940\pi\) |
−0.936484 | + | 0.350711i | \(0.885940\pi\) | |||||||
\(878\) | 26.8543 | − | 4.25330i | 0.906288 | − | 0.143542i | ||||
\(879\) | 21.4220 | 0.722546 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.4573 | −0.487080 | −0.243540 | − | 0.969891i | \(-0.578309\pi\) | ||||
−0.243540 | + | 0.969891i | \(0.578309\pi\) | |||||||
\(882\) | 9.52583 | − | 1.50874i | 0.320751 | − | 0.0508020i | ||||
\(883\) | −4.74930 | − | 9.32102i | −0.159827 | − | 0.313677i | 0.797181 | − | 0.603740i | \(-0.206324\pi\) |
−0.957007 | + | 0.290063i | \(0.906324\pi\) | |||||||
\(884\) | −31.9560 | + | 10.3831i | −1.07480 | + | 0.349222i | ||||
\(885\) | 47.1868 | − | 29.2843i | 1.58617 | − | 0.984381i | ||||
\(886\) | −60.1058 | − | 82.7286i | −2.01930 | − | 2.77932i | ||||
\(887\) | 8.80588 | + | 4.48682i | 0.295673 | + | 0.150653i | 0.595534 | − | 0.803330i | \(-0.296940\pi\) |
−0.299861 | + | 0.953983i | \(0.596940\pi\) | |||||||
\(888\) | 35.2832 | − | 17.9777i | 1.18403 | − | 0.603292i | ||||
\(889\) | 0.219123 | − | 0.301597i | 0.00734915 | − | 0.0101152i | ||||
\(890\) | −21.8101 | − | 1.59249i | −0.731078 | − | 0.0533805i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.8243 | + | 23.8243i | 0.797695 | + | 0.797695i | ||||
\(893\) | 1.57780 | + | 9.96185i | 0.0527991 | + | 0.333361i | ||||
\(894\) | −115.079 | − | 37.3913i | −3.84881 | − | 1.25055i | ||||
\(895\) | −18.9639 | + | 31.3426i | −0.633894 | + | 1.04767i | ||||
\(896\) | 18.9604 | − | 13.7755i | 0.633421 | − | 0.460207i | ||||
\(897\) | −3.16661 | + | 19.9932i | −0.105730 | + | 0.667553i | ||||
\(898\) | 4.19150 | − | 8.22628i | 0.139872 | − | 0.274515i | ||||
\(899\) | 3.63906 | − | 11.1999i | 0.121370 | − | 0.373537i | ||||
\(900\) | 15.7795 | − | 16.1404i | 0.525985 | − | 0.538015i | ||||
\(901\) | 21.4256i | 0.713789i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −16.5088 | + | 16.5088i | −0.549380 | + | 0.549380i | ||||
\(904\) | 37.1954 | + | 27.0240i | 1.23710 | + | 0.898806i | ||||
\(905\) | −12.8921 | − | 30.6334i | −0.428549 | − | 1.01829i | ||||
\(906\) | −22.5967 | − | 69.5455i | −0.750725 | − | 2.31049i | ||||
\(907\) | 11.4287 | + | 1.81013i | 0.379483 | + | 0.0601042i | 0.343262 | − | 0.939240i | \(-0.388468\pi\) |
0.0362209 | + | 0.999344i | \(0.488468\pi\) | |||||||
\(908\) | −35.8723 | − | 5.68162i | −1.19046 | − | 0.188551i | ||||
\(909\) | −3.07747 | − | 9.47148i | −0.102073 | − | 0.314149i | ||||
\(910\) | −21.4113 | − | 8.72737i | −0.709777 | − | 0.289310i | ||||
\(911\) | 7.05585 | + | 5.12638i | 0.233771 | + | 0.169844i | 0.698504 | − | 0.715607i | \(-0.253850\pi\) |
−0.464733 | + | 0.885451i | \(0.653850\pi\) | |||||||
\(912\) | −12.4954 | + | 12.4954i | −0.413765 | + | 0.413765i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 45.8704i | 1.51726i | ||||||||
\(915\) | −31.8901 | − | 26.9265i | −1.05426 | − | 0.890161i | ||||
\(916\) | 10.3839 | − | 31.9584i | 0.343094 | − | 1.05593i | ||||
\(917\) | −0.452856 | + | 0.888779i | −0.0149546 | + | 0.0293501i | ||||
\(918\) | 5.29751 | − | 33.4471i | 0.174844 | − | 1.10392i | ||||
\(919\) | 4.67338 | − | 3.39541i | 0.154160 | − | 0.112004i | −0.508031 | − | 0.861339i | \(-0.669627\pi\) |
0.662192 | + | 0.749335i | \(0.269627\pi\) | |||||||
\(920\) | −52.7053 | − | 31.8894i | −1.73764 | − | 1.05136i | ||||
\(921\) | 62.0002 | + | 20.1451i | 2.04298 | + | 0.663803i | ||||
\(922\) | 14.1147 | + | 89.1164i | 0.464842 | + | 2.93489i | ||||
\(923\) | −10.8007 | − | 10.8007i | −0.355511 | − | 0.355511i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.8729 | + | 9.57696i | −0.423260 | + | 0.314889i | ||||
\(926\) | −9.41628 | + | 12.9604i | −0.309438 | + | 0.425905i | ||||
\(927\) | 4.24416 | − | 2.16251i | 0.139397 | − | 0.0710261i | ||||
\(928\) | −12.5642 | − | 6.40176i | −0.412439 | − | 0.210148i | ||||
\(929\) | −10.6620 | − | 14.6749i | −0.349807 | − | 0.481468i | 0.597466 | − | 0.801894i | \(-0.296174\pi\) |
−0.947274 | + | 0.320425i | \(0.896174\pi\) | |||||||
\(930\) | −44.3807 | − | 10.3899i | −1.45530 | − | 0.340698i | ||||
\(931\) | 4.63380 | − | 1.50561i | 0.151867 | − | 0.0493444i | ||||
\(932\) | −52.7008 | − | 103.431i | −1.72627 | − | 3.38800i | ||||
\(933\) | 27.5024 | − | 4.35595i | 0.900387 | − | 0.142607i | ||||
\(934\) | 21.9374 | 0.717813 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 14.1566 | 0.462722 | ||||||||
\(937\) | 31.7432 | − | 5.02763i | 1.03700 | − | 0.164245i | 0.385357 | − | 0.922767i | \(-0.374078\pi\) |
0.651648 | + | 0.758522i | \(0.274078\pi\) | |||||||
\(938\) | 7.24680 | + | 14.2227i | 0.236617 | + | 0.464386i | ||||
\(939\) | 33.1548 | − | 10.7727i | 1.08197 | − | 0.351552i | ||||
\(940\) | 40.3234 | + | 64.9745i | 1.31520 | + | 2.11923i | ||||
\(941\) | 3.06305 | + | 4.21593i | 0.0998526 | + | 0.137435i | 0.856020 | − | 0.516943i | \(-0.172930\pi\) |
−0.756167 | + | 0.654379i | \(0.772930\pi\) | |||||||
\(942\) | −61.1136 | − | 31.1389i | −1.99119 | − | 1.01456i | ||||
\(943\) | −5.19907 | + | 2.64906i | −0.169305 | + | 0.0862652i | ||||
\(944\) | −49.1461 | + | 67.6438i | −1.59957 | + | 2.20162i | ||||
\(945\) | 12.1471 | − | 10.4940i | 0.395146 | − | 0.341368i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −0.545091 | − | 0.545091i | −0.0177131 | − | 0.0177131i | 0.698195 | − | 0.715908i | \(-0.253987\pi\) |
−0.715908 | + | 0.698195i | \(0.753987\pi\) | |||||||
\(948\) | 1.59022 | + | 10.0402i | 0.0516478 | + | 0.326092i | ||||
\(949\) | −20.2609 | − | 6.58315i | −0.657695 | − | 0.213698i | ||||
\(950\) | 9.57807 | − | 13.5015i | 0.310754 | − | 0.438046i | ||||
\(951\) | 26.2065 | − | 19.0401i | 0.849804 | − | 0.617419i | ||||
\(952\) | −5.85644 | + | 36.9761i | −0.189808 | + | 1.19840i | ||||
\(953\) | −6.16570 | + | 12.1009i | −0.199727 | + | 0.391986i | −0.969047 | − | 0.246878i | \(-0.920595\pi\) |
0.769320 | + | 0.638864i | \(0.220595\pi\) | |||||||
\(954\) | 5.08750 | − | 15.6577i | 0.164714 | − | 0.506937i | ||||
\(955\) | 4.25482 | − | 0.359074i | 0.137683 | − | 0.0116194i | ||||
\(956\) | 10.0777i | 0.325935i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 27.5786 | − | 27.5786i | 0.891023 | − | 0.891023i | ||||
\(959\) | −22.6377 | − | 16.4472i | −0.731009 | − | 0.531109i | ||||
\(960\) | 2.24154 | − | 5.49927i | 0.0723452 | − | 0.177488i | ||||
\(961\) | −4.60979 | − | 14.1875i | −0.148703 | − | 0.457661i | ||||
\(962\) | −18.1264 | − | 2.87093i | −0.584417 | − | 0.0925626i | ||||
\(963\) | −15.4092 | − | 2.44059i | −0.496556 | − | 0.0786468i | ||||
\(964\) | 8.61359 | + | 26.5099i | 0.277425 | + | 0.853827i | ||||
\(965\) | 9.60735 | − | 23.5702i | 0.309272 | − | 0.758751i | ||||
\(966\) | 33.2777 | + | 24.1777i | 1.07069 | + | 0.777904i | ||||
\(967\) | −28.7882 | + | 28.7882i | −0.925767 | + | 0.925767i | −0.997429 | − | 0.0716619i | \(-0.977170\pi\) |
0.0716619 | + | 0.997429i | \(0.477170\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.80745i | 0.282936i | ||||||||
\(970\) | −4.39524 | + | 0.370924i | −0.141123 | + | 0.0119097i | ||||
\(971\) | −9.07745 | + | 27.9375i | −0.291309 | + | 0.896557i | 0.693127 | + | 0.720815i | \(0.256232\pi\) |
−0.984436 | + | 0.175742i | \(0.943768\pi\) | |||||||
\(972\) | −20.4648 | + | 40.1645i | −0.656410 | + | 1.28828i | ||||
\(973\) | 0.402399 | − | 2.54065i | 0.0129003 | − | 0.0814494i | ||||
\(974\) | 12.1966 | − | 8.86137i | 0.390805 | − | 0.283937i | ||||
\(975\) | −22.2933 | + | 3.78975i | −0.713956 | + | 0.121369i | ||||
\(976\) | 59.7632 | + | 19.4182i | 1.91297 | + | 0.621562i | ||||
\(977\) | 3.65982 | + | 23.1072i | 0.117088 | + | 0.739265i | 0.974459 | + | 0.224566i | \(0.0720964\pi\) |
−0.857371 | + | 0.514699i | \(0.827904\pi\) | |||||||
\(978\) | −3.85737 | − | 3.85737i | −0.123345 | − | 0.123345i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 27.9536 | − | 24.1493i | 0.892946 | − | 0.771420i | ||||
\(981\) | 10.7176 | − | 14.7515i | 0.342187 | − | 0.470980i | ||||
\(982\) | 92.5065 | − | 47.1344i | 2.95200 | − | 1.50412i | ||||
\(983\) | 18.5843 | + | 9.46916i | 0.592746 | + | 0.302019i | 0.724513 | − | 0.689262i | \(-0.242065\pi\) |
−0.131767 | + | 0.991281i | \(0.542065\pi\) | |||||||
\(984\) | 9.45625 | + | 13.0154i | 0.301454 | + | 0.414916i | ||||
\(985\) | −23.0268 | − | 37.1039i | −0.733696 | − | 1.18223i | ||||
\(986\) | −23.8193 | + | 7.73937i | −0.758562 | + | 0.246472i | ||||
\(987\) | −12.7105 | − | 24.9457i | −0.404579 | − | 0.794031i | ||||
\(988\) | 12.8826 | − | 2.04040i | 0.409850 | − | 0.0649138i | ||||
\(989\) | 28.8277 | 0.916666 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.50787 | −0.206729 | −0.103365 | − | 0.994644i | \(-0.532961\pi\) | ||||
−0.103365 | + | 0.994644i | \(0.532961\pi\) | |||||||
\(992\) | 19.0203 | − | 3.01251i | 0.603894 | − | 0.0956474i | ||||
\(993\) | 13.3651 | + | 26.2305i | 0.424130 | + | 0.832401i | ||||
\(994\) | −29.5195 | + | 9.59146i | −0.936301 | + | 0.304223i | ||||
\(995\) | −48.6622 | − | 11.3922i | −1.54269 | − | 0.361157i | ||||
\(996\) | 54.6041 | + | 75.1561i | 1.73020 | + | 2.38141i | ||||
\(997\) | 23.5276 | + | 11.9879i | 0.745126 | + | 0.379660i | 0.784960 | − | 0.619546i | \(-0.212683\pi\) |
−0.0398349 | + | 0.999206i | \(0.512683\pi\) | |||||||
\(998\) | −52.3783 | + | 26.6881i | −1.65801 | + | 0.844797i | ||||
\(999\) | 7.48905 | − | 10.3078i | 0.236943 | − | 0.326124i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))