Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(52,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.u (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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 52.8 | ||
Character | \(\chi\) | \(=\) | 731.52 |
Dual form | 731.2.u.b.239.8 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02252 | − | 1.28220i | −0.723031 | − | 0.906652i | 0.275474 | − | 0.961308i | \(-0.411165\pi\) |
−0.998505 | + | 0.0546565i | \(0.982594\pi\) | |||||||
\(3\) | −0.661263 | − | 0.0996693i | −0.381780 | − | 0.0575441i | −0.0446514 | − | 0.999003i | \(-0.514218\pi\) |
−0.337129 | + | 0.941459i | \(0.609456\pi\) | |||||||
\(4\) | −0.153446 | + | 0.672293i | −0.0767232 | + | 0.336146i | ||||
\(5\) | −0.0486121 | − | 0.0331432i | −0.0217400 | − | 0.0148221i | 0.552401 | − | 0.833578i | \(-0.313712\pi\) |
−0.574141 | + | 0.818756i | \(0.694664\pi\) | |||||||
\(6\) | 0.548358 | + | 0.949785i | 0.223866 | + | 0.387748i | ||||
\(7\) | 0.748574 | − | 1.29657i | 0.282934 | − | 0.490057i | −0.689172 | − | 0.724598i | \(-0.742025\pi\) |
0.972106 | + | 0.234541i | \(0.0753588\pi\) | |||||||
\(8\) | −1.93625 | + | 0.932450i | −0.684569 | + | 0.329671i | ||||
\(9\) | −2.43938 | − | 0.752450i | −0.813128 | − | 0.250817i | ||||
\(10\) | 0.00721069 | + | 0.0962200i | 0.00228022 | + | 0.0304274i | ||||
\(11\) | −0.569855 | − | 2.49670i | −0.171818 | − | 0.752782i | −0.985250 | − | 0.171122i | \(-0.945261\pi\) |
0.813432 | − | 0.581660i | \(-0.197597\pi\) | |||||||
\(12\) | 0.168475 | − | 0.429268i | 0.0486347 | − | 0.123919i | ||||
\(13\) | −0.245559 | + | 3.27676i | −0.0681059 | + | 0.908810i | 0.853602 | + | 0.520925i | \(0.174413\pi\) |
−0.921708 | + | 0.387884i | \(0.873206\pi\) | |||||||
\(14\) | −2.42789 | + | 0.365946i | −0.648881 | + | 0.0978031i | ||||
\(15\) | 0.0288420 | + | 0.0267615i | 0.00744698 | + | 0.00690978i | ||||
\(16\) | 4.41803 | + | 2.12761i | 1.10451 | + | 0.531902i | ||||
\(17\) | −0.826239 | + | 0.563320i | −0.200392 | + | 0.136625i | ||||
\(18\) | 1.52953 | + | 3.89717i | 0.360513 | + | 0.918572i | ||||
\(19\) | −0.256656 | + | 0.0791678i | −0.0588808 | + | 0.0181623i | −0.324056 | − | 0.946038i | \(-0.605047\pi\) |
0.265175 | + | 0.964200i | \(0.414570\pi\) | |||||||
\(20\) | 0.0297413 | − | 0.0275959i | 0.00665035 | − | 0.00617062i | ||||
\(21\) | −0.624232 | + | 0.782762i | −0.136219 | + | 0.170813i | ||||
\(22\) | −2.61857 | + | 3.28359i | −0.558282 | + | 0.700063i | ||||
\(23\) | 1.49745 | − | 1.38943i | 0.312240 | − | 0.289716i | −0.508449 | − | 0.861092i | \(-0.669781\pi\) |
0.820688 | + | 0.571376i | \(0.193590\pi\) | |||||||
\(24\) | 1.37331 | − | 0.423610i | 0.280325 | − | 0.0864689i | ||||
\(25\) | −1.82544 | − | 4.65115i | −0.365088 | − | 0.930229i | ||||
\(26\) | 4.45255 | − | 3.03570i | 0.873217 | − | 0.595349i | ||||
\(27\) | 3.34560 | + | 1.61115i | 0.643861 | + | 0.310067i | ||||
\(28\) | 0.756807 | + | 0.702215i | 0.143023 | + | 0.132706i | ||||
\(29\) | −9.62463 | + | 1.45068i | −1.78725 | + | 0.269384i | −0.957433 | − | 0.288654i | \(-0.906792\pi\) |
−0.829815 | + | 0.558038i | \(0.811554\pi\) | |||||||
\(30\) | 0.00482202 | − | 0.0643454i | 0.000880376 | − | 0.0117478i | ||||
\(31\) | −3.66011 | + | 9.32581i | −0.657375 | + | 1.67496i | 0.0776986 | + | 0.996977i | \(0.475243\pi\) |
−0.735074 | + | 0.677987i | \(0.762852\pi\) | |||||||
\(32\) | −0.833071 | − | 3.64992i | −0.147268 | − | 0.645221i | ||||
\(33\) | 0.127980 | + | 1.70777i | 0.0222784 | + | 0.297284i | ||||
\(34\) | 1.56713 | + | 0.483397i | 0.268761 | + | 0.0829019i | ||||
\(35\) | −0.0793621 | + | 0.0382188i | −0.0134146 | + | 0.00646015i | ||||
\(36\) | 0.880182 | − | 1.52452i | 0.146697 | − | 0.254087i | ||||
\(37\) | 1.96187 | + | 3.39806i | 0.322529 | + | 0.558637i | 0.981009 | − | 0.193961i | \(-0.0621336\pi\) |
−0.658480 | + | 0.752598i | \(0.728800\pi\) | |||||||
\(38\) | 0.363944 | + | 0.248133i | 0.0590396 | + | 0.0402525i | ||||
\(39\) | 0.488972 | − | 2.14232i | 0.0782981 | − | 0.343046i | ||||
\(40\) | 0.125030 | + | 0.0188452i | 0.0197689 | + | 0.00297969i | ||||
\(41\) | −1.68748 | − | 2.11603i | −0.263540 | − | 0.330468i | 0.632402 | − | 0.774641i | \(-0.282069\pi\) |
−0.895941 | + | 0.444172i | \(0.853498\pi\) | |||||||
\(42\) | 1.64195 | 0.253358 | ||||||||
\(43\) | −6.00110 | + | 2.64325i | −0.915160 | + | 0.403091i | ||||
\(44\) | 1.76595 | 0.266227 | ||||||||
\(45\) | 0.0936450 | + | 0.117427i | 0.0139598 | + | 0.0175050i | ||||
\(46\) | −3.31270 | − | 0.499309i | −0.488430 | − | 0.0736190i | ||||
\(47\) | 0.979699 | − | 4.29234i | 0.142904 | − | 0.626102i | −0.851848 | − | 0.523788i | \(-0.824518\pi\) |
0.994752 | − | 0.102314i | \(-0.0326246\pi\) | |||||||
\(48\) | −2.70942 | − | 1.84725i | −0.391071 | − | 0.266628i | ||||
\(49\) | 2.37927 | + | 4.12102i | 0.339896 | + | 0.588718i | ||||
\(50\) | −4.09715 | + | 7.09647i | −0.579424 | + | 1.00359i | ||||
\(51\) | 0.602507 | − | 0.290152i | 0.0843678 | − | 0.0406294i | ||||
\(52\) | −2.16526 | − | 0.667895i | −0.300268 | − | 0.0926204i | ||||
\(53\) | 0.663148 | + | 8.84910i | 0.0910904 | + | 1.21552i | 0.836143 | + | 0.548511i | \(0.184805\pi\) |
−0.745053 | + | 0.667006i | \(0.767576\pi\) | |||||||
\(54\) | −1.35512 | − | 5.93716i | −0.184408 | − | 0.807945i | ||||
\(55\) | −0.0550466 | + | 0.140256i | −0.00742248 | + | 0.0189122i | ||||
\(56\) | −0.240443 | + | 3.20849i | −0.0321306 | + | 0.428753i | ||||
\(57\) | 0.177607 | − | 0.0267700i | 0.0235247 | − | 0.00354577i | ||||
\(58\) | 11.7014 | + | 10.8573i | 1.53647 | + | 1.42564i | ||||
\(59\) | 6.85139 | + | 3.29946i | 0.891976 | + | 0.429553i | 0.822984 | − | 0.568064i | \(-0.192308\pi\) |
0.0689915 | + | 0.997617i | \(0.478022\pi\) | |||||||
\(60\) | −0.0224173 | + | 0.0152838i | −0.00289405 | + | 0.00197313i | ||||
\(61\) | 3.14670 | + | 8.01767i | 0.402894 | + | 1.02656i | 0.978024 | + | 0.208495i | \(0.0668564\pi\) |
−0.575130 | + | 0.818062i | \(0.695048\pi\) | |||||||
\(62\) | 15.7001 | − | 4.84283i | 1.99391 | − | 0.615040i | ||||
\(63\) | −2.80166 | + | 2.59956i | −0.352976 | + | 0.327514i | ||||
\(64\) | 2.28664 | − | 2.86736i | 0.285830 | − | 0.358420i | ||||
\(65\) | 0.120539 | − | 0.151152i | 0.0149511 | − | 0.0187480i | ||||
\(66\) | 2.05884 | − | 1.91032i | 0.253426 | − | 0.235145i | ||||
\(67\) | 6.79803 | − | 2.09692i | 0.830512 | − | 0.256179i | 0.149787 | − | 0.988718i | \(-0.452141\pi\) |
0.680725 | + | 0.732539i | \(0.261665\pi\) | |||||||
\(68\) | −0.251933 | − | 0.641914i | −0.0305513 | − | 0.0778435i | ||||
\(69\) | −1.12869 | + | 0.769528i | −0.135878 | + | 0.0926403i | ||||
\(70\) | 0.130153 | + | 0.0626786i | 0.0155563 | + | 0.00749153i | ||||
\(71\) | 2.14062 | + | 1.98621i | 0.254045 | + | 0.235719i | 0.796906 | − | 0.604103i | \(-0.206468\pi\) |
−0.542861 | + | 0.839823i | \(0.682659\pi\) | |||||||
\(72\) | 5.42489 | − | 0.817670i | 0.639329 | − | 0.0963633i | ||||
\(73\) | 0.781737 | − | 10.4316i | 0.0914954 | − | 1.22092i | −0.742766 | − | 0.669551i | \(-0.766486\pi\) |
0.834261 | − | 0.551370i | \(-0.185895\pi\) | |||||||
\(74\) | 2.35094 | − | 5.99009i | 0.273291 | − | 0.696334i | ||||
\(75\) | 0.743519 | + | 3.25757i | 0.0858542 | + | 0.376152i | ||||
\(76\) | −0.0138410 | − | 0.184696i | −0.00158768 | − | 0.0211861i | ||||
\(77\) | −3.66372 | − | 1.13011i | −0.417519 | − | 0.128788i | ||||
\(78\) | −3.24687 | + | 1.56361i | −0.367636 | + | 0.177044i | ||||
\(79\) | −6.37877 | + | 11.0484i | −0.717668 | + | 1.24304i | 0.244253 | + | 0.969711i | \(0.421457\pi\) |
−0.961921 | + | 0.273326i | \(0.911876\pi\) | |||||||
\(80\) | −0.144254 | − | 0.249855i | −0.0161281 | − | 0.0279346i | ||||
\(81\) | 4.27593 | + | 2.91528i | 0.475103 | + | 0.323920i | ||||
\(82\) | −0.987693 | + | 4.32737i | −0.109072 | + | 0.477878i | ||||
\(83\) | −11.6680 | − | 1.75867i | −1.28073 | − | 0.193039i | −0.526798 | − | 0.849991i | \(-0.676607\pi\) |
−0.753933 | + | 0.656952i | \(0.771846\pi\) | |||||||
\(84\) | −0.430459 | − | 0.539779i | −0.0469670 | − | 0.0588947i | ||||
\(85\) | 0.0588354 | 0.00638160 | ||||||||
\(86\) | 9.52542 | + | 4.99184i | 1.02715 | + | 0.538284i | ||||
\(87\) | 6.50900 | 0.697838 | ||||||||
\(88\) | 3.43143 | + | 4.30287i | 0.365791 | + | 0.458688i | ||||
\(89\) | −4.80204 | − | 0.723790i | −0.509015 | − | 0.0767216i | −0.110486 | − | 0.993878i | \(-0.535241\pi\) |
−0.398528 | + | 0.917156i | \(0.630479\pi\) | |||||||
\(90\) | 0.0548111 | − | 0.240143i | 0.00577760 | − | 0.0253133i | ||||
\(91\) | 4.06472 | + | 2.77128i | 0.426099 | + | 0.290509i | ||||
\(92\) | 0.704325 | + | 1.21993i | 0.0734310 | + | 0.127186i | ||||
\(93\) | 3.34979 | − | 5.80201i | 0.347357 | − | 0.601640i | ||||
\(94\) | −6.50540 | + | 3.13283i | −0.670981 | + | 0.323127i | ||||
\(95\) | 0.0151004 | + | 0.00465787i | 0.00154927 | + | 0.000477887i | ||||
\(96\) | 0.187094 | + | 2.49659i | 0.0190952 | + | 0.254807i | ||||
\(97\) | −2.56761 | − | 11.2494i | −0.260701 | − | 1.14220i | −0.920494 | − | 0.390757i | \(-0.872213\pi\) |
0.659793 | − | 0.751447i | \(-0.270644\pi\) | |||||||
\(98\) | 2.85112 | − | 7.26453i | 0.288006 | − | 0.733829i | ||||
\(99\) | −0.488546 | + | 6.51919i | −0.0491007 | + | 0.655203i | ||||
\(100\) | 3.40704 | − | 0.513529i | 0.340704 | − | 0.0513529i | ||||
\(101\) | −11.1845 | − | 10.3777i | −1.11290 | − | 1.03262i | −0.999235 | − | 0.0391051i | \(-0.987549\pi\) |
−0.113669 | − | 0.993519i | \(-0.536260\pi\) | |||||||
\(102\) | −0.988108 | − | 0.475848i | −0.0978372 | − | 0.0471159i | ||||
\(103\) | 0.377360 | − | 0.257280i | 0.0371824 | − | 0.0253505i | −0.544586 | − | 0.838705i | \(-0.683313\pi\) |
0.581769 | + | 0.813354i | \(0.302361\pi\) | |||||||
\(104\) | −2.57995 | − | 6.57361i | −0.252985 | − | 0.644595i | ||||
\(105\) | 0.0562885 | − | 0.0173627i | 0.00549319 | − | 0.00169443i | ||||
\(106\) | 10.6682 | − | 9.89867i | 1.03619 | − | 0.961444i | ||||
\(107\) | −2.44319 | + | 3.06366i | −0.236192 | + | 0.296176i | −0.885775 | − | 0.464115i | \(-0.846372\pi\) |
0.649583 | + | 0.760291i | \(0.274944\pi\) | |||||||
\(108\) | −1.59654 | + | 2.00200i | −0.153627 | + | 0.192642i | ||||
\(109\) | −8.89843 | + | 8.25654i | −0.852315 | + | 0.790833i | −0.979584 | − | 0.201035i | \(-0.935569\pi\) |
0.127269 | + | 0.991868i | \(0.459379\pi\) | |||||||
\(110\) | 0.236123 | − | 0.0728343i | 0.0225134 | − | 0.00694448i | ||||
\(111\) | −0.958629 | − | 2.44255i | −0.0909890 | − | 0.231836i | ||||
\(112\) | 6.06581 | − | 4.13560i | 0.573165 | − | 0.390778i | ||||
\(113\) | −4.99692 | − | 2.40639i | −0.470071 | − | 0.226374i | 0.183825 | − | 0.982959i | \(-0.441152\pi\) |
−0.653895 | + | 0.756585i | \(0.726866\pi\) | |||||||
\(114\) | −0.215932 | − | 0.200355i | −0.0202238 | − | 0.0187650i | ||||
\(115\) | −0.118844 | + | 0.0179129i | −0.0110823 | + | 0.00167038i | ||||
\(116\) | 0.501584 | − | 6.69317i | 0.0465709 | − | 0.621445i | ||||
\(117\) | 3.06461 | − | 7.80850i | 0.283324 | − | 0.721897i | ||||
\(118\) | −2.77512 | − | 12.1586i | −0.255471 | − | 1.11929i | ||||
\(119\) | 0.111882 | + | 1.49296i | 0.0102562 | + | 0.136860i | ||||
\(120\) | −0.0807992 | − | 0.0249232i | −0.00737592 | − | 0.00227517i | ||||
\(121\) | 4.00190 | − | 1.92721i | 0.363809 | − | 0.175201i | ||||
\(122\) | 7.06268 | − | 12.2329i | 0.639425 | − | 1.10752i | ||||
\(123\) | 0.904963 | + | 1.56744i | 0.0815978 | + | 0.141331i | ||||
\(124\) | −5.70804 | − | 3.89168i | −0.512597 | − | 0.349483i | ||||
\(125\) | −0.130876 | + | 0.573404i | −0.0117059 | + | 0.0512868i | ||||
\(126\) | 6.19791 | + | 0.934185i | 0.552154 | + | 0.0832238i | ||||
\(127\) | 4.87506 | + | 6.11314i | 0.432592 | + | 0.542453i | 0.949574 | − | 0.313543i | \(-0.101516\pi\) |
−0.516982 | + | 0.855996i | \(0.672945\pi\) | |||||||
\(128\) | −13.5022 | −1.19344 | ||||||||
\(129\) | 4.23176 | − | 1.14975i | 0.372585 | − | 0.101230i | ||||
\(130\) | −0.317060 | −0.0278080 | ||||||||
\(131\) | 2.31987 | + | 2.90902i | 0.202688 | + | 0.254163i | 0.872778 | − | 0.488117i | \(-0.162316\pi\) |
−0.670090 | + | 0.742280i | \(0.733745\pi\) | |||||||
\(132\) | −1.16776 | − | 0.176011i | −0.101640 | − | 0.0153198i | ||||
\(133\) | −0.0894793 | + | 0.392035i | −0.00775884 | + | 0.0339937i | ||||
\(134\) | −9.63979 | − | 6.57230i | −0.832751 | − | 0.567760i | ||||
\(135\) | −0.109238 | − | 0.189205i | −0.00940169 | − | 0.0162842i | ||||
\(136\) | 1.07454 | − | 1.86116i | 0.0921410 | − | 0.159593i | ||||
\(137\) | −16.4486 | + | 7.92121i | −1.40530 | + | 0.676755i | −0.974228 | − | 0.225564i | \(-0.927577\pi\) |
−0.431068 | + | 0.902319i | \(0.641863\pi\) | |||||||
\(138\) | 2.14080 | + | 0.660348i | 0.182237 | + | 0.0562126i | ||||
\(139\) | −0.322315 | − | 4.30099i | −0.0273384 | − | 0.364805i | −0.994049 | − | 0.108933i | \(-0.965257\pi\) |
0.966711 | − | 0.255872i | \(-0.0823625\pi\) | |||||||
\(140\) | −0.0135164 | − | 0.0592191i | −0.00114234 | − | 0.00500493i | ||||
\(141\) | −1.07565 | + | 2.74072i | −0.0905863 | + | 0.230810i | ||||
\(142\) | 0.357885 | − | 4.77564i | 0.0300330 | − | 0.400763i | ||||
\(143\) | 8.32101 | − | 1.25419i | 0.695838 | − | 0.104881i | ||||
\(144\) | −9.17635 | − | 8.51440i | −0.764695 | − | 0.709534i | ||||
\(145\) | 0.515954 | + | 0.248470i | 0.0428476 | + | 0.0206343i | ||||
\(146\) | −14.1747 | + | 9.66413i | −1.17310 | + | 0.799809i | ||||
\(147\) | −1.16259 | − | 2.96222i | −0.0958884 | − | 0.244320i | ||||
\(148\) | −2.58553 | + | 0.797531i | −0.212529 | + | 0.0655566i | ||||
\(149\) | 5.97624 | − | 5.54514i | 0.489593 | − | 0.454276i | −0.396330 | − | 0.918108i | \(-0.629716\pi\) |
0.885923 | + | 0.463832i | \(0.153526\pi\) | |||||||
\(150\) | 3.41659 | − | 4.28427i | 0.278964 | − | 0.349809i | ||||
\(151\) | −12.0679 | + | 15.1326i | −0.982069 | + | 1.23148i | −0.00923803 | + | 0.999957i | \(0.502941\pi\) |
−0.972831 | + | 0.231518i | \(0.925631\pi\) | |||||||
\(152\) | 0.423130 | − | 0.392607i | 0.0343204 | − | 0.0318447i | ||||
\(153\) | 2.43938 | − | 0.752450i | 0.197213 | − | 0.0608320i | ||||
\(154\) | 2.29720 | + | 5.85317i | 0.185114 | + | 0.471662i | ||||
\(155\) | 0.487012 | − | 0.332039i | 0.0391178 | − | 0.0266700i | ||||
\(156\) | 1.36524 | + | 0.657464i | 0.109307 | + | 0.0526393i | ||||
\(157\) | −13.4796 | − | 12.5072i | −1.07579 | − | 0.998185i | −0.999999 | − | 0.00106125i | \(-0.999662\pi\) |
−0.0757883 | − | 0.997124i | \(-0.524147\pi\) | |||||||
\(158\) | 20.6886 | − | 3.11831i | 1.64590 | − | 0.248079i | ||||
\(159\) | 0.443468 | − | 5.91767i | 0.0351693 | − | 0.469302i | ||||
\(160\) | −0.0804727 | + | 0.205041i | −0.00636192 | + | 0.0162099i | ||||
\(161\) | −0.680539 | − | 2.98163i | −0.0536340 | − | 0.234986i | ||||
\(162\) | −0.634253 | − | 8.46352i | −0.0498316 | − | 0.664957i | ||||
\(163\) | −16.8617 | − | 5.20115i | −1.32071 | − | 0.407386i | −0.447307 | − | 0.894380i | \(-0.647617\pi\) |
−0.873405 | + | 0.486995i | \(0.838093\pi\) | |||||||
\(164\) | 1.68153 | − | 0.809782i | 0.131305 | − | 0.0632333i | ||||
\(165\) | 0.0503795 | − | 0.0872599i | 0.00392204 | − | 0.00679317i | ||||
\(166\) | 9.67581 | + | 16.7590i | 0.750988 | + | 1.30075i | ||||
\(167\) | −19.3820 | − | 13.2144i | −1.49983 | − | 1.02256i | −0.986388 | − | 0.164436i | \(-0.947419\pi\) |
−0.513437 | − | 0.858127i | \(-0.671628\pi\) | |||||||
\(168\) | 0.478784 | − | 2.09769i | 0.0369390 | − | 0.161840i | ||||
\(169\) | 2.17794 | + | 0.328272i | 0.167534 | + | 0.0252517i | ||||
\(170\) | −0.0601604 | − | 0.0754387i | −0.00461409 | − | 0.00578589i | ||||
\(171\) | 0.685652 | 0.0524331 | ||||||||
\(172\) | −0.856188 | − | 4.44010i | −0.0652837 | − | 0.338554i | ||||
\(173\) | 4.32790 | 0.329044 | 0.164522 | − | 0.986373i | \(-0.447392\pi\) | ||||
0.164522 | + | 0.986373i | \(0.447392\pi\) | |||||||
\(174\) | −6.65558 | − | 8.34583i | −0.504558 | − | 0.632696i | ||||
\(175\) | −7.39701 | − | 1.11492i | −0.559161 | − | 0.0842800i | ||||
\(176\) | 2.79436 | − | 12.2429i | 0.210633 | − | 0.922843i | ||||
\(177\) | −4.20172 | − | 2.86468i | −0.315820 | − | 0.215323i | ||||
\(178\) | 3.98213 | + | 6.89726i | 0.298474 | + | 0.516971i | ||||
\(179\) | −0.759575 | + | 1.31562i | −0.0567733 | + | 0.0983343i | −0.893015 | − | 0.450026i | \(-0.851415\pi\) |
0.836242 | + | 0.548361i | \(0.184748\pi\) | |||||||
\(180\) | −0.0933149 | + | 0.0449381i | −0.00695528 | + | 0.00334949i | ||||
\(181\) | 19.8250 | + | 6.11521i | 1.47358 | + | 0.454540i | 0.924485 | − | 0.381218i | \(-0.124495\pi\) |
0.549098 | + | 0.835758i | \(0.314971\pi\) | |||||||
\(182\) | −0.602925 | − | 8.04548i | −0.0446918 | − | 0.596370i | ||||
\(183\) | −1.28168 | − | 5.61541i | −0.0947446 | − | 0.415103i | ||||
\(184\) | −1.60387 | + | 4.08658i | −0.118238 | + | 0.301267i | ||||
\(185\) | 0.0172518 | − | 0.230209i | 0.00126838 | − | 0.0169253i | ||||
\(186\) | −10.8646 | + | 1.63757i | −0.796628 | + | 0.120072i | ||||
\(187\) | 1.87728 | + | 1.74186i | 0.137280 | + | 0.127377i | ||||
\(188\) | 2.73538 | + | 1.31729i | 0.199498 | + | 0.0960732i | ||||
\(189\) | 4.59340 | − | 3.13173i | 0.334121 | − | 0.227800i | ||||
\(190\) | −0.00946818 | − | 0.0241245i | −0.000686894 | − | 0.00175018i | ||||
\(191\) | −16.9777 | + | 5.23692i | −1.22846 | + | 0.378930i | −0.840026 | − | 0.542546i | \(-0.817461\pi\) |
−0.388435 | + | 0.921476i | \(0.626984\pi\) | |||||||
\(192\) | −1.79786 | + | 1.66817i | −0.129749 | + | 0.120390i | ||||
\(193\) | 15.8561 | − | 19.8829i | 1.14135 | − | 1.43120i | 0.255753 | − | 0.966742i | \(-0.417677\pi\) |
0.885593 | − | 0.464461i | \(-0.153752\pi\) | |||||||
\(194\) | −11.7986 | + | 14.7949i | −0.847087 | + | 1.06221i | ||||
\(195\) | −0.0947734 | + | 0.0879368i | −0.00678686 | + | 0.00629729i | ||||
\(196\) | −3.13563 | + | 0.967212i | −0.223973 | + | 0.0690866i | ||||
\(197\) | −7.09014 | − | 18.0654i | −0.505152 | − | 1.28711i | −0.925157 | − | 0.379584i | \(-0.876067\pi\) |
0.420005 | − | 0.907522i | \(-0.362028\pi\) | |||||||
\(198\) | 8.85845 | − | 6.03959i | 0.629542 | − | 0.429215i | ||||
\(199\) | −18.8360 | − | 9.07093i | −1.33525 | − | 0.643021i | −0.376271 | − | 0.926509i | \(-0.622794\pi\) |
−0.958976 | + | 0.283488i | \(0.908508\pi\) | |||||||
\(200\) | 7.87148 | + | 7.30366i | 0.556597 | + | 0.516447i | ||||
\(201\) | −4.70428 | + | 0.709057i | −0.331815 | + | 0.0500130i | ||||
\(202\) | −1.86991 | + | 24.9523i | −0.131567 | + | 1.75564i | ||||
\(203\) | −5.32384 | + | 13.5649i | −0.373660 | + | 0.952071i | ||||
\(204\) | 0.102615 | + | 0.449584i | 0.00718445 | + | 0.0314772i | ||||
\(205\) | 0.0118999 | + | 0.158793i | 0.000831125 | + | 0.0110906i | ||||
\(206\) | −0.715742 | − | 0.220777i | −0.0498681 | − | 0.0153823i | ||||
\(207\) | −4.69833 | + | 2.26260i | −0.326556 | + | 0.157261i | ||||
\(208\) | −8.05655 | + | 13.9544i | −0.558622 | + | 0.967561i | ||||
\(209\) | 0.343914 | + | 0.595677i | 0.0237891 | + | 0.0412038i | ||||
\(210\) | −0.0798185 | − | 0.0544193i | −0.00550800 | − | 0.00375529i | ||||
\(211\) | 2.79064 | − | 12.2266i | 0.192116 | − | 0.841715i | −0.783353 | − | 0.621577i | \(-0.786492\pi\) |
0.975469 | − | 0.220138i | \(-0.0706506\pi\) | |||||||
\(212\) | −6.05094 | − | 0.912033i | −0.415581 | − | 0.0626387i | ||||
\(213\) | −1.21755 | − | 1.52676i | −0.0834251 | − | 0.104612i | ||||
\(214\) | 6.42644 | 0.439302 | ||||||||
\(215\) | 0.379332 | + | 0.0704018i | 0.0258702 | + | 0.00480136i | ||||
\(216\) | −7.98024 | −0.542987 | ||||||||
\(217\) | 9.35168 | + | 11.7266i | 0.634833 | + | 0.796056i | ||||
\(218\) | 19.6854 | + | 2.96709i | 1.33326 | + | 0.200957i | ||||
\(219\) | −1.55664 | + | 6.82008i | −0.105188 | + | 0.460858i | ||||
\(220\) | −0.0858467 | − | 0.0585293i | −0.00578778 | − | 0.00394604i | ||||
\(221\) | −1.64297 | − | 2.84571i | −0.110518 | − | 0.191423i | ||||
\(222\) | −2.15161 | + | 3.72671i | −0.144407 | + | 0.250120i | ||||
\(223\) | −1.85414 | + | 0.892906i | −0.124162 | + | 0.0597934i | −0.494934 | − | 0.868931i | \(-0.664808\pi\) |
0.370771 | + | 0.928724i | \(0.379093\pi\) | |||||||
\(224\) | −5.35599 | − | 1.65210i | −0.357862 | − | 0.110386i | ||||
\(225\) | 0.953194 | + | 12.7195i | 0.0635462 | + | 0.847966i | ||||
\(226\) | 2.02398 | + | 8.86763i | 0.134633 | + | 0.589866i | ||||
\(227\) | −0.764601 | + | 1.94817i | −0.0507483 | + | 0.129305i | −0.954000 | − | 0.299806i | \(-0.903078\pi\) |
0.903252 | + | 0.429111i | \(0.141173\pi\) | |||||||
\(228\) | −0.00925594 | + | 0.123512i | −0.000612990 | + | 0.00817978i | ||||
\(229\) | −16.1948 | + | 2.44098i | −1.07019 | + | 0.161305i | −0.660428 | − | 0.750890i | \(-0.729625\pi\) |
−0.409758 | + | 0.912194i | \(0.634387\pi\) | |||||||
\(230\) | 0.144488 | + | 0.134066i | 0.00952728 | + | 0.00884003i | ||||
\(231\) | 2.31004 | + | 1.11246i | 0.151990 | + | 0.0731943i | ||||
\(232\) | 17.2830 | − | 11.7834i | 1.13469 | − | 0.773616i | ||||
\(233\) | −10.1313 | − | 25.8141i | −0.663723 | − | 1.69114i | −0.721140 | − | 0.692790i | \(-0.756381\pi\) |
0.0574164 | − | 0.998350i | \(-0.481714\pi\) | |||||||
\(234\) | −13.1457 | + | 4.05491i | −0.859360 | + | 0.265078i | ||||
\(235\) | −0.189887 | + | 0.176189i | −0.0123869 | + | 0.0114933i | ||||
\(236\) | −3.26952 | + | 4.09985i | −0.212828 | + | 0.266878i | ||||
\(237\) | 5.31923 | − | 6.67010i | 0.345521 | − | 0.433270i | ||||
\(238\) | 1.79987 | − | 1.67004i | 0.116668 | − | 0.108252i | ||||
\(239\) | 9.69083 | − | 2.98923i | 0.626848 | − | 0.193357i | 0.0349749 | − | 0.999388i | \(-0.488865\pi\) |
0.591873 | + | 0.806031i | \(0.298389\pi\) | |||||||
\(240\) | 0.0704868 | + | 0.179597i | 0.00454990 | + | 0.0115930i | ||||
\(241\) | 5.96952 | − | 4.06995i | 0.384530 | − | 0.262168i | −0.355591 | − | 0.934642i | \(-0.615720\pi\) |
0.740121 | + | 0.672473i | \(0.234768\pi\) | |||||||
\(242\) | −6.56309 | − | 3.16062i | −0.421892 | − | 0.203172i | ||||
\(243\) | −10.7031 | − | 9.93107i | −0.686607 | − | 0.637078i | ||||
\(244\) | −5.87307 | + | 0.885223i | −0.375985 | + | 0.0566706i | ||||
\(245\) | 0.0209223 | − | 0.279188i | 0.00133667 | − | 0.0178367i | ||||
\(246\) | 1.08443 | − | 2.76308i | 0.0691407 | − | 0.176168i | ||||
\(247\) | −0.196390 | − | 0.860439i | −0.0124960 | − | 0.0547484i | ||||
\(248\) | −1.60895 | − | 21.4700i | −0.102169 | − | 1.36335i | ||||
\(249\) | 7.54033 | + | 2.32589i | 0.477849 | + | 0.147397i | ||||
\(250\) | 0.869042 | − | 0.418508i | 0.0549630 | − | 0.0264688i | ||||
\(251\) | 14.3686 | − | 24.8872i | 0.906939 | − | 1.57086i | 0.0886466 | − | 0.996063i | \(-0.471746\pi\) |
0.818293 | − | 0.574802i | \(-0.194921\pi\) | |||||||
\(252\) | −1.31776 | − | 2.28243i | −0.0830112 | − | 0.143780i | ||||
\(253\) | −4.32231 | − | 2.94690i | −0.271741 | − | 0.185270i | ||||
\(254\) | 2.85341 | − | 12.5016i | 0.179039 | − | 0.784421i | ||||
\(255\) | −0.0389057 | − | 0.00586409i | −0.00243637 | − | 0.000367223i | ||||
\(256\) | 9.23302 | + | 11.5778i | 0.577064 | + | 0.723615i | ||||
\(257\) | 16.9142 | 1.05508 | 0.527539 | − | 0.849531i | \(-0.323115\pi\) | ||||
0.527539 | + | 0.849531i | \(0.323115\pi\) | |||||||
\(258\) | −5.80127 | − | 4.25031i | −0.361171 | − | 0.264613i | ||||
\(259\) | 5.87442 | 0.365019 | ||||||||
\(260\) | 0.0831218 | + | 0.104231i | 0.00515499 | + | 0.00646416i | ||||
\(261\) | 24.5697 | + | 3.70329i | 1.52083 | + | 0.229228i | ||||
\(262\) | 1.35784 | − | 5.94907i | 0.0838874 | − | 0.367535i | ||||
\(263\) | −22.2208 | − | 15.1499i | −1.37019 | − | 0.934181i | −0.999986 | − | 0.00523142i | \(-0.998335\pi\) |
−0.370206 | − | 0.928950i | \(-0.620713\pi\) | |||||||
\(264\) | −1.84021 | − | 3.18734i | −0.113257 | − | 0.196167i | ||||
\(265\) | 0.261050 | − | 0.452152i | 0.0160362 | − | 0.0277755i | ||||
\(266\) | 0.594161 | − | 0.286133i | 0.0364303 | − | 0.0175439i | ||||
\(267\) | 3.10327 | + | 0.957231i | 0.189917 | + | 0.0585816i | ||||
\(268\) | 0.366607 | + | 4.89203i | 0.0223941 | + | 0.298829i | ||||
\(269\) | 3.10346 | + | 13.5971i | 0.189221 | + | 0.829032i | 0.977028 | + | 0.213110i | \(0.0683592\pi\) |
−0.787807 | + | 0.615922i | \(0.788784\pi\) | |||||||
\(270\) | −0.130901 | + | 0.333531i | −0.00796639 | + | 0.0202980i | ||||
\(271\) | −1.89483 | + | 25.2847i | −0.115103 | + | 1.53594i | 0.578561 | + | 0.815639i | \(0.303615\pi\) |
−0.693663 | + | 0.720299i | \(0.744004\pi\) | |||||||
\(272\) | −4.84887 | + | 0.730850i | −0.294006 | + | 0.0443143i | ||||
\(273\) | −2.41164 | − | 2.23767i | −0.145959 | − | 0.135430i | ||||
\(274\) | 26.9756 | + | 12.9907i | 1.62965 | + | 0.784800i | ||||
\(275\) | −10.5723 | + | 7.20805i | −0.637532 | + | 0.434662i | ||||
\(276\) | −0.344155 | − | 0.876892i | −0.0207157 | − | 0.0527827i | ||||
\(277\) | 2.98061 | − | 0.919397i | 0.179088 | − | 0.0552412i | −0.203914 | − | 0.978989i | \(-0.565366\pi\) |
0.383002 | + | 0.923747i | \(0.374890\pi\) | |||||||
\(278\) | −5.18515 | + | 4.81112i | −0.310985 | + | 0.288552i | ||||
\(279\) | 15.9456 | − | 19.9952i | 0.954639 | − | 1.19708i | ||||
\(280\) | 0.118028 | − | 0.148002i | 0.00705352 | − | 0.00884484i | ||||
\(281\) | −16.8710 | + | 15.6540i | −1.00644 | + | 0.933837i | −0.997811 | − | 0.0661259i | \(-0.978936\pi\) |
−0.00862557 | + | 0.999963i | \(0.502746\pi\) | |||||||
\(282\) | 4.61402 | − | 1.42324i | 0.274761 | − | 0.0847526i | ||||
\(283\) | 9.08875 | + | 23.1578i | 0.540270 | + | 1.37659i | 0.896856 | + | 0.442323i | \(0.145845\pi\) |
−0.356586 | + | 0.934263i | \(0.616059\pi\) | |||||||
\(284\) | −1.66378 | + | 1.13435i | −0.0987274 | + | 0.0673112i | ||||
\(285\) | −0.00952111 | − | 0.00458513i | −0.000563982 | − | 0.000271599i | ||||
\(286\) | −10.1165 | − | 9.38676i | −0.598202 | − | 0.555051i | ||||
\(287\) | −4.00678 | + | 0.603925i | −0.236513 | + | 0.0356486i | ||||
\(288\) | −0.714205 | + | 9.53041i | −0.0420850 | + | 0.561585i | ||||
\(289\) | 0.365341 | − | 0.930874i | 0.0214906 | − | 0.0547573i | ||||
\(290\) | −0.208984 | − | 0.915621i | −0.0122720 | − | 0.0537671i | ||||
\(291\) | 0.576640 | + | 7.69473i | 0.0338032 | + | 0.451073i | ||||
\(292\) | 6.89310 | + | 2.12624i | 0.403388 | + | 0.124429i | ||||
\(293\) | 6.34845 | − | 3.05725i | 0.370880 | − | 0.178607i | −0.239154 | − | 0.970982i | \(-0.576870\pi\) |
0.610034 | + | 0.792375i | \(0.291156\pi\) | |||||||
\(294\) | −2.60939 | + | 4.51960i | −0.152183 | + | 0.263588i | ||||
\(295\) | −0.223706 | − | 0.387471i | −0.0130247 | − | 0.0225594i | ||||
\(296\) | −6.96719 | − | 4.75015i | −0.404960 | − | 0.276097i | ||||
\(297\) | 2.11606 | − | 9.27106i | 0.122786 | − | 0.537962i | ||||
\(298\) | −13.2208 | − | 1.99272i | −0.765860 | − | 0.115435i | ||||
\(299\) | 4.18511 | + | 5.24797i | 0.242031 | + | 0.303498i | ||||
\(300\) | −2.30413 | −0.133029 | ||||||||
\(301\) | −1.06512 | + | 9.75951i | −0.0613925 | + | 0.562529i | ||||
\(302\) | 31.7427 | 1.82659 | ||||||||
\(303\) | 6.36158 | + | 7.97717i | 0.365463 | + | 0.458276i | ||||
\(304\) | −1.30235 | − | 0.196298i | −0.0746949 | − | 0.0112584i | ||||
\(305\) | 0.112763 | − | 0.494047i | 0.00645679 | − | 0.0282891i | ||||
\(306\) | −3.45911 | − | 2.35838i | −0.197744 | − | 0.134820i | ||||
\(307\) | 10.1817 | + | 17.6352i | 0.581099 | + | 1.00649i | 0.995349 | + | 0.0963302i | \(0.0307105\pi\) |
−0.414250 | + | 0.910163i | \(0.635956\pi\) | |||||||
\(308\) | 1.32195 | − | 2.28968i | 0.0753249 | − | 0.130467i | ||||
\(309\) | −0.275177 | + | 0.132518i | −0.0156543 | + | 0.00753870i | ||||
\(310\) | −0.923721 | − | 0.284930i | −0.0524638 | − | 0.0161829i | ||||
\(311\) | −0.00474105 | − | 0.0632649i | −0.000268840 | − | 0.00358742i | 0.997068 | − | 0.0765237i | \(-0.0243821\pi\) |
−0.997337 | + | 0.0729363i | \(0.976763\pi\) | |||||||
\(312\) | 1.05084 | + | 4.60402i | 0.0594920 | + | 0.260651i | ||||
\(313\) | −0.818670 | + | 2.08594i | −0.0462740 | + | 0.117904i | −0.952142 | − | 0.305656i | \(-0.901124\pi\) |
0.905868 | + | 0.423560i | \(0.139220\pi\) | |||||||
\(314\) | −2.25361 | + | 30.0724i | −0.127179 | + | 1.69708i | ||||
\(315\) | 0.222352 | − | 0.0335142i | 0.0125281 | − | 0.00188831i | ||||
\(316\) | −6.44893 | − | 5.98374i | −0.362781 | − | 0.336611i | ||||
\(317\) | −20.2629 | − | 9.75809i | −1.13808 | − | 0.548069i | −0.232646 | − | 0.972562i | \(-0.574738\pi\) |
−0.905432 | + | 0.424492i | \(0.860453\pi\) | |||||||
\(318\) | −8.04109 | + | 5.48233i | −0.450922 | + | 0.307434i | ||||
\(319\) | 9.10654 | + | 23.2031i | 0.509869 | + | 1.29912i | ||||
\(320\) | −0.206192 | + | 0.0636018i | −0.0115265 | + | 0.00355545i | ||||
\(321\) | 1.92094 | − | 1.78238i | 0.107217 | − | 0.0994825i | ||||
\(322\) | −3.12719 | + | 3.92137i | −0.174271 | + | 0.218529i | ||||
\(323\) | 0.167462 | − | 0.209991i | 0.00931784 | − | 0.0116842i | ||||
\(324\) | −2.61604 | + | 2.42733i | −0.145336 | + | 0.134852i | ||||
\(325\) | 15.6889 | − | 4.83940i | 0.870266 | − | 0.268442i | ||||
\(326\) | 10.5725 | + | 26.9384i | 0.585558 | + | 1.49198i | ||||
\(327\) | 6.70713 | − | 4.57284i | 0.370905 | − | 0.252879i | ||||
\(328\) | 5.24048 | + | 2.52368i | 0.289357 | + | 0.139347i | ||||
\(329\) | −4.83194 | − | 4.48338i | −0.266393 | − | 0.247177i | ||||
\(330\) | −0.163399 | + | 0.0246284i | −0.00899480 | + | 0.00135575i | ||||
\(331\) | −0.647856 | + | 8.64504i | −0.0356094 | + | 0.475174i | 0.950683 | + | 0.310165i | \(0.100384\pi\) |
−0.986292 | + | 0.165009i | \(0.947235\pi\) | |||||||
\(332\) | 2.97276 | − | 7.57446i | 0.163151 | − | 0.415702i | ||||
\(333\) | −2.22888 | − | 9.76538i | −0.122142 | − | 0.535139i | ||||
\(334\) | 2.87496 | + | 38.3636i | 0.157311 | + | 2.09916i | ||||
\(335\) | −0.399965 | − | 0.123373i | −0.0218524 | − | 0.00674058i | ||||
\(336\) | −4.42329 | + | 2.13014i | −0.241310 | + | 0.116209i | ||||
\(337\) | 8.32477 | − | 14.4189i | 0.453479 | − | 0.785449i | −0.545120 | − | 0.838358i | \(-0.683516\pi\) |
0.998599 | + | 0.0529087i | \(0.0168492\pi\) | |||||||
\(338\) | −1.80608 | − | 3.12822i | −0.0982378 | − | 0.170153i | ||||
\(339\) | 3.06443 | + | 2.08930i | 0.166437 | + | 0.113475i | ||||
\(340\) | −0.00902809 | + | 0.0395546i | −0.000489617 | + | 0.00214515i | ||||
\(341\) | 25.3694 | + | 3.82383i | 1.37383 | + | 0.207072i | ||||
\(342\) | −0.701092 | − | 0.879142i | −0.0379107 | − | 0.0475386i | ||||
\(343\) | 17.6043 | 0.950542 | ||||||||
\(344\) | 9.15496 | − | 10.7137i | 0.493602 | − | 0.577645i | ||||
\(345\) | 0.0803726 | 0.00432712 | ||||||||
\(346\) | −4.42536 | − | 5.54923i | −0.237909 | − | 0.298328i | ||||
\(347\) | 0.0842371 | + | 0.0126967i | 0.00452209 | + | 0.000681595i | 0.151303 | − | 0.988487i | \(-0.451653\pi\) |
−0.146781 | + | 0.989169i | \(0.546891\pi\) | |||||||
\(348\) | −0.998782 | + | 4.37595i | −0.0535404 | + | 0.234576i | ||||
\(349\) | −14.8698 | − | 10.1381i | −0.795963 | − | 0.542678i | 0.0956828 | − | 0.995412i | \(-0.469497\pi\) |
−0.891646 | + | 0.452733i | \(0.850449\pi\) | |||||||
\(350\) | 6.13404 | + | 10.6245i | 0.327878 | + | 0.567901i | ||||
\(351\) | −6.10091 | + | 10.5671i | −0.325642 | + | 0.564029i | ||||
\(352\) | −8.63802 | + | 4.15985i | −0.460408 | + | 0.221721i | ||||
\(353\) | 13.5261 | + | 4.17224i | 0.719920 | + | 0.222066i | 0.633003 | − | 0.774149i | \(-0.281822\pi\) |
0.0869176 | + | 0.996216i | \(0.472298\pi\) | |||||||
\(354\) | 0.623246 | + | 8.31663i | 0.0331251 | + | 0.442024i | ||||
\(355\) | −0.0382309 | − | 0.167501i | −0.00202909 | − | 0.00889002i | ||||
\(356\) | 1.22345 | − | 3.11731i | 0.0648430 | − | 0.165217i | ||||
\(357\) | 0.0748191 | − | 0.998391i | 0.00395985 | − | 0.0528405i | ||||
\(358\) | 2.46357 | − | 0.371324i | 0.130204 | − | 0.0196251i | ||||
\(359\) | 18.6871 | + | 17.3391i | 0.986269 | + | 0.915124i | 0.996396 | − | 0.0848252i | \(-0.0270332\pi\) |
−0.0101272 | + | 0.999949i | \(0.503224\pi\) | |||||||
\(360\) | −0.290815 | − | 0.140049i | −0.0153273 | − | 0.00738124i | ||||
\(361\) | −15.6389 | + | 10.6624i | −0.823102 | + | 0.561181i | ||||
\(362\) | −12.4306 | − | 31.6726i | −0.653336 | − | 1.66467i | ||||
\(363\) | −2.83839 | + | 0.875528i | −0.148977 | + | 0.0459533i | ||||
\(364\) | −2.48683 | + | 2.30744i | −0.130345 | + | 0.120943i | ||||
\(365\) | −0.383737 | + | 0.481190i | −0.0200857 | + | 0.0251867i | ||||
\(366\) | −5.88953 | + | 7.38524i | −0.307851 | + | 0.386033i | ||||
\(367\) | 1.52492 | − | 1.41492i | 0.0796002 | − | 0.0738582i | −0.639369 | − | 0.768900i | \(-0.720805\pi\) |
0.718970 | + | 0.695042i | \(0.244614\pi\) | |||||||
\(368\) | 9.57193 | − | 2.95255i | 0.498971 | − | 0.153912i | ||||
\(369\) | 2.52420 | + | 6.43155i | 0.131405 | + | 0.334813i | ||||
\(370\) | −0.312814 | + | 0.213273i | −0.0162625 | + | 0.0110876i | ||||
\(371\) | 11.9699 | + | 5.76439i | 0.621445 | + | 0.299272i | ||||
\(372\) | 3.38663 | + | 3.14234i | 0.175589 | + | 0.162923i | ||||
\(373\) | −11.3199 | + | 1.70620i | −0.586121 | + | 0.0883435i | −0.435407 | − | 0.900234i | \(-0.643395\pi\) |
−0.150714 | + | 0.988577i | \(0.548157\pi\) | |||||||
\(374\) | 0.313857 | − | 4.18812i | 0.0162291 | − | 0.216563i | ||||
\(375\) | 0.143694 | − | 0.366127i | 0.00742033 | − | 0.0189067i | ||||
\(376\) | 2.10545 | + | 9.22458i | 0.108580 | + | 0.475721i | ||||
\(377\) | −2.39011 | − | 31.8938i | −0.123097 | − | 1.64262i | ||||
\(378\) | −8.71234 | − | 2.68740i | −0.448114 | − | 0.138225i | ||||
\(379\) | −5.73548 | + | 2.76206i | −0.294612 | + | 0.141878i | −0.575351 | − | 0.817906i | \(-0.695135\pi\) |
0.280739 | + | 0.959784i | \(0.409420\pi\) | |||||||
\(380\) | −0.00544856 | + | 0.00943719i | −0.000279505 | + | 0.000484117i | ||||
\(381\) | −2.61441 | − | 4.52828i | −0.133940 | − | 0.231991i | ||||
\(382\) | 24.0748 | + | 16.4139i | 1.23177 | + | 0.839809i | ||||
\(383\) | −4.74633 | + | 20.7950i | −0.242526 | + | 1.06258i | 0.696183 | + | 0.717864i | \(0.254880\pi\) |
−0.938709 | + | 0.344711i | \(0.887977\pi\) | |||||||
\(384\) | 8.92853 | + | 1.34576i | 0.455632 | + | 0.0686755i | ||||
\(385\) | 0.140646 | + | 0.176364i | 0.00716796 | + | 0.00898834i | ||||
\(386\) | −41.7070 | −2.12283 | ||||||||
\(387\) | 16.6279 | − | 1.93236i | 0.845244 | − | 0.0982275i | ||||
\(388\) | 7.95689 | 0.403950 | ||||||||
\(389\) | 18.9154 | + | 23.7191i | 0.959047 | + | 1.20261i | 0.979218 | + | 0.202810i | \(0.0650075\pi\) |
−0.0201710 | + | 0.999797i | \(0.506421\pi\) | |||||||
\(390\) | 0.209660 | + | 0.0316012i | 0.0106166 | + | 0.00160019i | ||||
\(391\) | −0.454557 | + | 1.99154i | −0.0229879 | + | 0.100717i | ||||
\(392\) | −8.44952 | − | 5.76079i | −0.426765 | − | 0.290964i | ||||
\(393\) | −1.24410 | − | 2.15485i | −0.0627567 | − | 0.108698i | ||||
\(394\) | −15.9136 | + | 27.5632i | −0.801717 | + | 1.38861i | ||||
\(395\) | 0.676263 | − | 0.325671i | 0.0340265 | − | 0.0163863i | ||||
\(396\) | −4.30784 | − | 1.32879i | −0.216477 | − | 0.0667743i | ||||
\(397\) | −0.462717 | − | 6.17452i | −0.0232231 | − | 0.309890i | −0.996704 | − | 0.0811227i | \(-0.974149\pi\) |
0.973481 | − | 0.228768i | \(-0.0734696\pi\) | |||||||
\(398\) | 7.62942 | + | 33.4267i | 0.382428 | + | 1.67553i | ||||
\(399\) | 0.0982432 | − | 0.250319i | 0.00491831 | − | 0.0125316i | ||||
\(400\) | 1.83098 | − | 24.4327i | 0.0915490 | − | 1.22164i | ||||
\(401\) | 8.63651 | − | 1.30175i | 0.431287 | − | 0.0650060i | 0.0701885 | − | 0.997534i | \(-0.477640\pi\) |
0.361098 | + | 0.932528i | \(0.382402\pi\) | |||||||
\(402\) | 5.71938 | + | 5.30681i | 0.285257 | + | 0.264679i | ||||
\(403\) | −29.6597 | − | 14.2833i | −1.47745 | − | 0.711504i | ||||
\(404\) | 8.69311 | − | 5.92686i | 0.432498 | − | 0.294872i | ||||
\(405\) | −0.111240 | − | 0.283435i | −0.00552757 | − | 0.0140840i | ||||
\(406\) | 22.8367 | − | 7.04418i | 1.13337 | − | 0.349597i | ||||
\(407\) | 7.36594 | − | 6.83459i | 0.365116 | − | 0.338778i | ||||
\(408\) | −0.896053 | + | 1.12361i | −0.0443612 | + | 0.0556272i | ||||
\(409\) | 20.4970 | − | 25.7024i | 1.01351 | − | 1.27090i | 0.0512738 | − | 0.998685i | \(-0.483672\pi\) |
0.962236 | − | 0.272217i | \(-0.0877567\pi\) | |||||||
\(410\) | 0.191436 | − | 0.177627i | 0.00945437 | − | 0.00877238i | ||||
\(411\) | 11.6663 | − | 3.59859i | 0.575458 | − | 0.177505i | ||||
\(412\) | 0.115063 | + | 0.293175i | 0.00566874 | + | 0.0144437i | ||||
\(413\) | 9.40675 | − | 6.41341i | 0.462876 | − | 0.315583i | ||||
\(414\) | 7.70523 | + | 3.71064i | 0.378692 | + | 0.182368i | ||||
\(415\) | 0.508919 | + | 0.472207i | 0.0249818 | + | 0.0231798i | ||||
\(416\) | 12.1645 | − | 1.83350i | 0.596413 | − | 0.0898948i | ||||
\(417\) | −0.215542 | + | 2.87621i | −0.0105551 | + | 0.140849i | ||||
\(418\) | 0.412118 | − | 1.05006i | 0.0201573 | − | 0.0513600i | ||||
\(419\) | 2.87135 | + | 12.5802i | 0.140275 | + | 0.614583i | 0.995370 | + | 0.0961131i | \(0.0306410\pi\) |
−0.855096 | + | 0.518470i | \(0.826502\pi\) | |||||||
\(420\) | 0.00303555 | + | 0.0405066i | 0.000148120 | + | 0.00197652i | ||||
\(421\) | −31.8881 | − | 9.83617i | −1.55413 | − | 0.479385i | −0.605519 | − | 0.795831i | \(-0.707034\pi\) |
−0.948611 | + | 0.316446i | \(0.897511\pi\) | |||||||
\(422\) | −18.5304 | + | 8.92379i | −0.902048 | + | 0.434403i | ||||
\(423\) | −5.61963 | + | 9.73349i | −0.273236 | + | 0.473259i | ||||
\(424\) | −9.53537 | − | 16.5157i | −0.463078 | − | 0.802075i | ||||
\(425\) | 4.12833 | + | 2.81465i | 0.200254 | + | 0.136531i | ||||
\(426\) | −0.712641 | + | 3.12228i | −0.0345276 | + | 0.151275i | ||||
\(427\) | 12.7510 | + | 1.92190i | 0.617064 | + | 0.0930074i | ||||
\(428\) | −1.68478 | − | 2.11265i | −0.0814370 | − | 0.102119i | ||||
\(429\) | −5.62738 | −0.271692 | ||||||||
\(430\) | −0.297605 | − | 0.558366i | −0.0143518 | − | 0.0269268i | ||||
\(431\) | 12.7707 | 0.615142 | 0.307571 | − | 0.951525i | \(-0.400484\pi\) | ||||
0.307571 | + | 0.951525i | \(0.400484\pi\) | |||||||
\(432\) | 11.3530 | + | 14.2363i | 0.546223 | + | 0.684942i | ||||
\(433\) | −20.7725 | − | 3.13095i | −0.998261 | − | 0.150464i | −0.370469 | − | 0.928845i | \(-0.620803\pi\) |
−0.627792 | + | 0.778381i | \(0.716041\pi\) | |||||||
\(434\) | 5.47361 | − | 23.9814i | 0.262742 | − | 1.15115i | ||||
\(435\) | −0.316416 | − | 0.215729i | −0.0151710 | − | 0.0103434i | ||||
\(436\) | −4.18538 | − | 7.24929i | −0.200443 | − | 0.347178i | ||||
\(437\) | −0.274331 | + | 0.475155i | −0.0131230 | + | 0.0227297i | ||||
\(438\) | 10.3364 | − | 4.97775i | 0.493892 | − | 0.237846i | ||||
\(439\) | −31.0667 | − | 9.58280i | −1.48273 | − | 0.457362i | −0.555394 | − | 0.831588i | \(-0.687432\pi\) |
−0.927338 | + | 0.374226i | \(0.877909\pi\) | |||||||
\(440\) | −0.0241980 | − | 0.322900i | −0.00115360 | − | 0.0153937i | ||||
\(441\) | −2.70310 | − | 11.8430i | −0.128719 | − | 0.563954i | ||||
\(442\) | −1.96880 | + | 5.01642i | −0.0936463 | + | 0.238607i | ||||
\(443\) | −2.31253 | + | 30.8585i | −0.109871 | + | 1.46613i | 0.621104 | + | 0.783728i | \(0.286685\pi\) |
−0.730975 | + | 0.682404i | \(0.760935\pi\) | |||||||
\(444\) | 1.78920 | − | 0.269679i | 0.0849119 | − | 0.0127984i | ||||
\(445\) | 0.209448 | + | 0.194340i | 0.00992880 | + | 0.00921258i | ||||
\(446\) | 3.04078 | + | 1.46436i | 0.143985 | + | 0.0693395i | ||||
\(447\) | −4.50455 | + | 3.07115i | −0.213058 | + | 0.145260i | ||||
\(448\) | −2.00601 | − | 5.11122i | −0.0947749 | − | 0.241482i | ||||
\(449\) | 1.70993 | − | 0.527444i | 0.0806966 | − | 0.0248916i | −0.254144 | − | 0.967166i | \(-0.581794\pi\) |
0.334841 | + | 0.942275i | \(0.391318\pi\) | |||||||
\(450\) | 15.3343 | − | 14.2281i | 0.722864 | − | 0.670720i | ||||
\(451\) | −4.32147 | + | 5.41895i | −0.203490 | + | 0.255168i | ||||
\(452\) | 2.38456 | − | 2.99014i | 0.112160 | − | 0.140644i | ||||
\(453\) | 9.48829 | − | 8.80384i | 0.445799 | − | 0.413641i | ||||
\(454\) | 3.27976 | − | 1.01167i | 0.153927 | − | 0.0474802i | ||||
\(455\) | −0.105746 | − | 0.269436i | −0.00495743 | − | 0.0126313i | ||||
\(456\) | −0.318931 | + | 0.217444i | −0.0149353 | + | 0.0101827i | ||||
\(457\) | 22.9030 | + | 11.0295i | 1.07136 | + | 0.515939i | 0.884544 | − | 0.466456i | \(-0.154470\pi\) |
0.186814 | + | 0.982395i | \(0.440184\pi\) | |||||||
\(458\) | 19.6894 | + | 18.2691i | 0.920024 | + | 0.853658i | ||||
\(459\) | −3.67186 | + | 0.553444i | −0.171388 | + | 0.0258325i | ||||
\(460\) | 0.00619352 | − | 0.0826468i | 0.000288774 | − | 0.00385343i | ||||
\(461\) | 11.1091 | − | 28.3055i | 0.517402 | − | 1.31832i | −0.398593 | − | 0.917128i | \(-0.630501\pi\) |
0.915995 | − | 0.401191i | \(-0.131404\pi\) | |||||||
\(462\) | −0.935671 | − | 4.09944i | −0.0435314 | − | 0.190723i | ||||
\(463\) | −0.611135 | − | 8.15503i | −0.0284018 | − | 0.378996i | −0.993234 | − | 0.116130i | \(-0.962951\pi\) |
0.964832 | − | 0.262867i | \(-0.0846679\pi\) | |||||||
\(464\) | −45.6084 | − | 14.0683i | −2.11731 | − | 0.653105i | ||||
\(465\) | −0.355137 | + | 0.171025i | −0.0164691 | + | 0.00793110i | ||||
\(466\) | −22.7394 | + | 39.3858i | −1.05338 | + | 1.82451i | ||||
\(467\) | 15.6510 | + | 27.1084i | 0.724243 | + | 1.25442i | 0.959285 | + | 0.282440i | \(0.0911438\pi\) |
−0.235042 | + | 0.971985i | \(0.575523\pi\) | |||||||
\(468\) | 4.77935 | + | 3.25850i | 0.220925 | + | 0.150624i | ||||
\(469\) | 2.37004 | − | 10.3838i | 0.109438 | − | 0.479480i | ||||
\(470\) | 0.420073 | + | 0.0633158i | 0.0193765 | + | 0.00292054i | ||||
\(471\) | 7.66696 | + | 9.61406i | 0.353275 | + | 0.442993i | ||||
\(472\) | −16.3426 | −0.752230 | ||||||||
\(473\) | 10.0191 | + | 13.4767i | 0.460681 | + | 0.619658i | ||||
\(474\) | −13.9914 | −0.642647 | ||||||||
\(475\) | 0.836731 | + | 1.04923i | 0.0383918 | + | 0.0481418i | ||||
\(476\) | −1.02088 | − | 0.153872i | −0.0467917 | − | 0.00705272i | ||||
\(477\) | 5.04083 | − | 22.0853i | 0.230804 | − | 1.01122i | ||||
\(478\) | −13.7419 | − | 9.36904i | −0.628538 | − | 0.428530i | ||||
\(479\) | 1.09700 | + | 1.90006i | 0.0501232 | + | 0.0868160i | 0.889998 | − | 0.455964i | \(-0.150705\pi\) |
−0.839875 | + | 0.542780i | \(0.817372\pi\) | |||||||
\(480\) | 0.0736499 | − | 0.127565i | 0.00336164 | − | 0.00582253i | ||||
\(481\) | −11.6164 | + | 5.59415i | −0.529661 | + | 0.255071i | ||||
\(482\) | −11.3224 | − | 3.49251i | −0.515723 | − | 0.159079i | ||||
\(483\) | 0.152837 | + | 2.03947i | 0.00695434 | + | 0.0927992i | ||||
\(484\) | 0.681574 | + | 2.98617i | 0.0309807 | + | 0.135735i | ||||
\(485\) | −0.248025 | + | 0.631956i | −0.0112622 | + | 0.0286957i | ||||
\(486\) | −1.78943 | + | 23.8783i | −0.0811702 | + | 1.08314i | ||||
\(487\) | 39.7953 | − | 5.99818i | 1.80330 | − | 0.271804i | 0.840459 | − | 0.541875i | \(-0.182286\pi\) |
0.962840 | + | 0.270072i | \(0.0870474\pi\) | |||||||
\(488\) | −13.5689 | − | 12.5901i | −0.614234 | − | 0.569926i | ||||
\(489\) | 10.6316 | + | 5.11992i | 0.480779 | + | 0.231531i | ||||
\(490\) | −0.379368 | + | 0.258649i | −0.0171381 | + | 0.0116846i | ||||
\(491\) | 5.79660 | + | 14.7695i | 0.261597 | + | 0.666538i | 0.999969 | − | 0.00785518i | \(-0.00250041\pi\) |
−0.738372 | + | 0.674394i | \(0.764405\pi\) | |||||||
\(492\) | −1.19264 | + | 0.367882i | −0.0537685 | + | 0.0165854i | ||||
\(493\) | 7.13504 | − | 6.62035i | 0.321346 | − | 0.298166i | ||||
\(494\) | −0.902443 | + | 1.13163i | −0.0406028 | + | 0.0509143i | ||||
\(495\) | 0.239816 | − | 0.300719i | 0.0107789 | − | 0.0135163i | ||||
\(496\) | −36.0121 | + | 33.4144i | −1.61699 | + | 1.50035i | ||||
\(497\) | 4.17767 | − | 1.28864i | 0.187394 | − | 0.0578034i | ||||
\(498\) | −4.72789 | − | 12.0465i | −0.211862 | − | 0.539815i | ||||
\(499\) | 2.02657 | − | 1.38169i | 0.0907215 | − | 0.0618529i | −0.517110 | − | 0.855919i | \(-0.672992\pi\) |
0.607831 | + | 0.794066i | \(0.292040\pi\) | |||||||
\(500\) | −0.365413 | − | 0.175974i | −0.0163418 | − | 0.00786978i | ||||
\(501\) | 11.4995 | + | 10.6700i | 0.513761 | + | 0.476701i | ||||
\(502\) | −46.6025 | + | 7.02420i | −2.07997 | + | 0.313505i | ||||
\(503\) | −0.871139 | + | 11.6245i | −0.0388422 | + | 0.518312i | 0.943519 | + | 0.331319i | \(0.107493\pi\) |
−0.982361 | + | 0.186994i | \(0.940126\pi\) | |||||||
\(504\) | 3.00076 | − | 7.64582i | 0.133665 | − | 0.340572i | ||||
\(505\) | 0.199753 | + | 0.875175i | 0.00888889 | + | 0.0389448i | ||||
\(506\) | 0.641133 | + | 8.55533i | 0.0285018 | + | 0.380331i | ||||
\(507\) | −1.40747 | − | 0.434148i | −0.0625081 | − | 0.0192812i | ||||
\(508\) | −4.85788 | + | 2.33943i | −0.215534 | + | 0.103795i | ||||
\(509\) | −10.9039 | + | 18.8861i | −0.483308 | + | 0.837113i | −0.999816 | − | 0.0191687i | \(-0.993898\pi\) |
0.516509 | + | 0.856282i | \(0.327231\pi\) | |||||||
\(510\) | 0.0322629 | + | 0.0558810i | 0.00142862 | + | 0.00247445i | ||||
\(511\) | −12.9400 | − | 8.82236i | −0.572433 | − | 0.390278i | ||||
\(512\) | −0.604907 | + | 2.65027i | −0.0267333 | + | 0.117126i | ||||
\(513\) | −0.986218 | − | 0.148648i | −0.0435426 | − | 0.00656299i | ||||
\(514\) | −17.2951 | − | 21.6873i | −0.762853 | − | 0.956588i | ||||
\(515\) | −0.0268713 | −0.00118409 | ||||||||
\(516\) | 0.123624 | + | 3.02141i | 0.00544224 | + | 0.133010i | ||||
\(517\) | −11.2750 | −0.495872 | ||||||||
\(518\) | −6.00671 | − | 7.53217i | −0.263920 | − | 0.330945i | ||||
\(519\) | −2.86188 | − | 0.431359i | −0.125623 | − | 0.0189345i | ||||
\(520\) | −0.0924533 | + | 0.405065i | −0.00405435 | + | 0.0177633i | ||||
\(521\) | −29.0546 | − | 19.8091i | −1.27290 | − | 0.867851i | −0.277232 | − | 0.960803i | \(-0.589417\pi\) |
−0.995671 | + | 0.0929523i | \(0.970370\pi\) | |||||||
\(522\) | −20.3747 | − | 35.2900i | −0.891775 | − | 1.54460i | ||||
\(523\) | −9.86269 | + | 17.0827i | −0.431266 | + | 0.746974i | −0.996983 | − | 0.0776256i | \(-0.975266\pi\) |
0.565717 | + | 0.824599i | \(0.308599\pi\) | |||||||
\(524\) | −2.31169 | + | 1.11325i | −0.100987 | + | 0.0486326i | ||||
\(525\) | 4.78024 | + | 1.47451i | 0.208627 | + | 0.0643529i | ||||
\(526\) | 3.29603 | + | 43.9825i | 0.143714 | + | 1.91773i | ||||
\(527\) | −2.22929 | − | 9.76716i | −0.0971094 | − | 0.425464i | ||||
\(528\) | −3.06805 | + | 7.81726i | −0.133520 | + | 0.340203i | ||||
\(529\) | −1.40695 | + | 18.7745i | −0.0611719 | + | 0.816282i | ||||
\(530\) | −0.846678 | + | 0.127616i | −0.0367773 | + | 0.00554329i | ||||
\(531\) | −14.2305 | − | 13.2040i | −0.617551 | − | 0.573004i | ||||
\(532\) | −0.249832 | − | 0.120313i | −0.0108316 | − | 0.00521621i | ||||
\(533\) | 7.34810 | − | 5.00985i | 0.318281 | − | 0.217001i | ||||
\(534\) | −1.94579 | − | 4.95780i | −0.0842026 | − | 0.214545i | ||||
\(535\) | 0.220308 | − | 0.0679561i | 0.00952475 | − | 0.00293800i | ||||
\(536\) | −11.2074 | + | 10.3990i | −0.484088 | + | 0.449168i | ||||
\(537\) | 0.633406 | − | 0.794266i | 0.0273335 | − | 0.0342751i | ||||
\(538\) | 14.2609 | − | 17.8826i | 0.614830 | − | 0.770973i | ||||
\(539\) | 8.93310 | − | 8.28871i | 0.384776 | − | 0.357020i | ||||
\(540\) | 0.143964 | − | 0.0444069i | 0.00619520 | − | 0.00191097i | ||||
\(541\) | 4.25880 | + | 10.8512i | 0.183100 | + | 0.466531i | 0.992723 | − | 0.120419i | \(-0.0384237\pi\) |
−0.809623 | + | 0.586950i | \(0.800328\pi\) | |||||||
\(542\) | 34.3576 | − | 23.4246i | 1.47578 | − | 1.00617i | ||||
\(543\) | −12.5001 | − | 6.01971i | −0.536429 | − | 0.258331i | ||||
\(544\) | 2.74439 | + | 2.54642i | 0.117665 | + | 0.109177i | ||||
\(545\) | 0.706219 | − | 0.106445i | 0.0302511 | − | 0.00455962i | ||||
\(546\) | −0.403195 | + | 5.38027i | −0.0172552 | + | 0.230254i | ||||
\(547\) | 16.2312 | − | 41.3564i | 0.693996 | − | 1.76827i | 0.0557464 | − | 0.998445i | \(-0.482246\pi\) |
0.638250 | − | 0.769829i | \(-0.279659\pi\) | |||||||
\(548\) | −2.80140 | − | 12.2737i | −0.119670 | − | 0.524308i | ||||
\(549\) | −1.64312 | − | 21.9259i | −0.0701266 | − | 0.935775i | ||||
\(550\) | 20.0525 | + | 6.18538i | 0.855042 | + | 0.263745i | ||||
\(551\) | 2.35537 | − | 1.13429i | 0.100342 | − | 0.0483222i | ||||
\(552\) | 1.46788 | − | 2.54245i | 0.0624772 | − | 0.108214i | ||||
\(553\) | 9.54997 | + | 16.5410i | 0.406106 | + | 0.703396i | ||||
\(554\) | −4.22659 | − | 2.88164i | −0.179570 | − | 0.122429i | ||||
\(555\) | −0.0343528 | + | 0.150509i | −0.00145819 | + | 0.00638877i | ||||
\(556\) | 2.94098 | + | 0.443282i | 0.124725 | + | 0.0187993i | ||||
\(557\) | 19.1411 | + | 24.0022i | 0.811034 | + | 1.01700i | 0.999391 | + | 0.0349039i | \(0.0111125\pi\) |
−0.188357 | + | 0.982101i | \(0.560316\pi\) | |||||||
\(558\) | −41.9425 | −1.77557 | ||||||||
\(559\) | −7.18766 | − | 20.3133i | −0.304006 | − | 0.859159i | ||||
\(560\) | −0.431939 | −0.0182527 | ||||||||
\(561\) | −1.06776 | − | 1.33893i | −0.0450810 | − | 0.0565297i | ||||
\(562\) | 37.3224 | + | 5.62544i | 1.57435 | + | 0.237295i | ||||
\(563\) | 1.89315 | − | 8.29443i | 0.0797867 | − | 0.349569i | −0.919239 | − | 0.393700i | \(-0.871195\pi\) |
0.999026 | + | 0.0441314i | \(0.0140520\pi\) | |||||||
\(564\) | −1.67751 | − | 1.14371i | −0.0706359 | − | 0.0481588i | ||||
\(565\) | 0.163155 | + | 0.282593i | 0.00686400 | + | 0.0118888i | ||||
\(566\) | 20.3994 | − | 35.3328i | 0.857452 | − | 1.48515i | ||||
\(567\) | 6.98070 | − | 3.36173i | 0.293162 | − | 0.141179i | ||||
\(568\) | −5.99682 | − | 1.84978i | −0.251621 | − | 0.0776149i | ||||
\(569\) | −0.947167 | − | 12.6391i | −0.0397073 | − | 0.529857i | −0.981222 | − | 0.192884i | \(-0.938216\pi\) |
0.941514 | − | 0.336973i | \(-0.109403\pi\) | |||||||
\(570\) | 0.00385648 | + | 0.0168963i | 0.000161530 | + | 0.000707710i | ||||
\(571\) | 5.30458 | − | 13.5158i | 0.221990 | − | 0.565621i | −0.775878 | − | 0.630882i | \(-0.782693\pi\) |
0.997868 | + | 0.0652618i | \(0.0207882\pi\) | |||||||
\(572\) | −0.433646 | + | 5.78660i | −0.0181317 | + | 0.241950i | ||||
\(573\) | 11.7487 | − | 1.77083i | 0.490808 | − | 0.0739773i | ||||
\(574\) | 4.87136 | + | 4.51996i | 0.203327 | + | 0.188660i | ||||
\(575\) | −9.19594 | − | 4.42853i | −0.383497 | − | 0.184683i | ||||
\(576\) | −7.73555 | + | 5.27401i | −0.322314 | + | 0.219750i | ||||
\(577\) | −14.1037 | − | 35.9356i | −0.587143 | − | 1.49602i | −0.847656 | − | 0.530546i | \(-0.821987\pi\) |
0.260512 | − | 0.965470i | \(-0.416108\pi\) | |||||||
\(578\) | −1.56713 | + | 0.483397i | −0.0651842 | + | 0.0201067i | ||||
\(579\) | −12.4668 | + | 11.5675i | −0.518101 | + | 0.480727i | ||||
\(580\) | −0.246216 | + | 0.308745i | −0.0102236 | + | 0.0128199i | ||||
\(581\) | −11.0146 | + | 13.8119i | −0.456963 | + | 0.573013i | ||||
\(582\) | 9.27655 | − | 8.60738i | 0.384525 | − | 0.356787i | ||||
\(583\) | 21.7156 | − | 6.69838i | 0.899369 | − | 0.277419i | ||||
\(584\) | 8.21326 | + | 20.9271i | 0.339867 | + | 0.865968i | ||||
\(585\) | −0.407776 | + | 0.278017i | −0.0168595 | + | 0.0114946i | ||||
\(586\) | −10.4114 | − | 5.01388i | −0.430092 | − | 0.207121i | ||||
\(587\) | 1.91733 | + | 1.77902i | 0.0791368 | + | 0.0734282i | 0.718750 | − | 0.695269i | \(-0.244715\pi\) |
−0.639613 | + | 0.768697i | \(0.720905\pi\) | |||||||
\(588\) | 2.16987 | − | 0.327056i | 0.0894841 | − | 0.0134876i | ||||
\(589\) | 0.201084 | − | 2.68328i | 0.00828553 | − | 0.110563i | ||||
\(590\) | −0.268070 | + | 0.683032i | −0.0110363 | + | 0.0281200i | ||||
\(591\) | 2.88788 | + | 12.6526i | 0.118792 | + | 0.520460i | ||||
\(592\) | 1.43785 | + | 19.1868i | 0.0590954 | + | 0.788573i | ||||
\(593\) | −8.00910 | − | 2.47048i | −0.328894 | − | 0.101450i | 0.125910 | − | 0.992042i | \(-0.459815\pi\) |
−0.454805 | + | 0.890591i | \(0.650291\pi\) | |||||||
\(594\) | −14.0511 | + | 6.76664i | −0.576522 | + | 0.277638i | ||||
\(595\) | 0.0440427 | − | 0.0762841i | 0.00180557 | − | 0.00312734i | ||||
\(596\) | 2.81093 | + | 4.86867i | 0.115140 | + | 0.199428i | ||||
\(597\) | 11.5514 | + | 7.87564i | 0.472769 | + | 0.322328i | ||||
\(598\) | 2.44958 | − | 10.7323i | 0.100171 | − | 0.438876i | ||||
\(599\) | −16.0307 | − | 2.41624i | −0.654997 | − | 0.0987249i | −0.186868 | − | 0.982385i | \(-0.559834\pi\) |
−0.468129 | + | 0.883660i | \(0.655072\pi\) | |||||||
\(600\) | −4.47716 | − | 5.61418i | −0.182779 | − | 0.229198i | ||||
\(601\) | −41.4229 | −1.68967 | −0.844837 | − | 0.535023i | \(-0.820303\pi\) | ||||
−0.844837 | + | 0.535023i | \(0.820303\pi\) | |||||||
\(602\) | 13.6027 | − | 8.61359i | 0.554406 | − | 0.351064i | ||||
\(603\) | −18.1608 | −0.739567 | ||||||||
\(604\) | −8.32178 | − | 10.4352i | −0.338608 | − | 0.424602i | ||||
\(605\) | −0.258415 | − | 0.0389497i | −0.0105061 | − | 0.00158353i | ||||
\(606\) | 3.72348 | − | 16.3136i | 0.151256 | − | 0.662696i | ||||
\(607\) | −14.7252 | − | 10.0395i | −0.597676 | − | 0.407489i | 0.226345 | − | 0.974047i | \(-0.427322\pi\) |
−0.824022 | + | 0.566558i | \(0.808275\pi\) | |||||||
\(608\) | 0.502769 | + | 0.870821i | 0.0203900 | + | 0.0353165i | ||||
\(609\) | 4.87247 | − | 8.43936i | 0.197442 | − | 0.341980i | ||||
\(610\) | −0.748769 | + | 0.360588i | −0.0303168 | + | 0.0145998i | ||||
\(611\) | 13.8244 | + | 4.26426i | 0.559275 | + | 0.172514i | ||||
\(612\) | 0.131552 | + | 1.75544i | 0.00531768 | + | 0.0709595i | ||||
\(613\) | 3.14569 | + | 13.7822i | 0.127053 | + | 0.556656i | 0.997881 | + | 0.0650677i | \(0.0207263\pi\) |
−0.870828 | + | 0.491588i | \(0.836417\pi\) | |||||||
\(614\) | 12.2009 | − | 31.0873i | 0.492386 | − | 1.25458i | ||||
\(615\) | 0.00795784 | − | 0.106190i | 0.000320891 | − | 0.00428199i | ||||
\(616\) | 8.14765 | − | 1.22806i | 0.328278 | − | 0.0494800i | ||||
\(617\) | 17.0603 | + | 15.8297i | 0.686823 | + | 0.637278i | 0.944331 | − | 0.328998i | \(-0.106711\pi\) |
−0.257508 | + | 0.966276i | \(0.582901\pi\) | |||||||
\(618\) | 0.451289 | + | 0.217329i | 0.0181535 | + | 0.00874227i | ||||
\(619\) | 23.3850 | − | 15.9436i | 0.939921 | − | 0.640827i | 0.00664143 | − | 0.999978i | \(-0.497886\pi\) |
0.933280 | + | 0.359151i | \(0.116934\pi\) | |||||||
\(620\) | 0.148497 | + | 0.378365i | 0.00596380 | + | 0.0151955i | ||||
\(621\) | 7.24844 | − | 2.23585i | 0.290870 | − | 0.0897215i | ||||
\(622\) | −0.0762704 | + | 0.0707686i | −0.00305816 | + | 0.00283756i | ||||
\(623\) | −4.53312 | + | 5.68436i | −0.181616 | + | 0.227739i | ||||
\(624\) | 6.71832 | − | 8.42451i | 0.268948 | − | 0.337250i | ||||
\(625\) | −18.2882 | + | 16.9690i | −0.731530 | + | 0.678760i | ||||
\(626\) | 3.51169 | − | 1.08321i | 0.140356 | − | 0.0432940i | ||||
\(627\) | −0.168047 | − | 0.428177i | −0.00671115 | − | 0.0170997i | ||||
\(628\) | 10.4769 | − | 7.14304i | 0.418074 | − | 0.285038i | ||||
\(629\) | −3.53517 | − | 1.70245i | −0.140956 | − | 0.0678810i | ||||
\(630\) | −0.270332 | − | 0.250831i | −0.0107703 | − | 0.00999335i | ||||
\(631\) | −37.6192 | + | 5.67019i | −1.49760 | + | 0.225727i | −0.846141 | − | 0.532959i | \(-0.821080\pi\) |
−0.651457 | + | 0.758686i | \(0.725842\pi\) | |||||||
\(632\) | 2.04887 | − | 27.3403i | 0.0814998 | − | 1.08754i | ||||
\(633\) | −3.06397 | + | 7.80686i | −0.121782 | + | 0.310295i | ||||
\(634\) | 8.20739 | + | 35.9589i | 0.325957 | + | 1.42811i | ||||
\(635\) | −0.0343784 | − | 0.458747i | −0.00136426 | − | 0.0182048i | ||||
\(636\) | 3.91036 | + | 1.20619i | 0.155056 | + | 0.0478284i | ||||
\(637\) | −14.0879 | + | 6.78435i | −0.558181 | + | 0.268806i | ||||
\(638\) | 20.4394 | − | 35.4020i | 0.809203 | − | 1.40158i | ||||
\(639\) | −3.72728 | − | 6.45583i | −0.147449 | − | 0.255389i | ||||
\(640\) | 0.656372 | + | 0.447507i | 0.0259454 | + | 0.0176893i | ||||
\(641\) | 0.0594943 | − | 0.260661i | 0.00234988 | − | 0.0102955i | −0.973739 | − | 0.227666i | \(-0.926891\pi\) |
0.976089 | + | 0.217370i | \(0.0697478\pi\) | |||||||
\(642\) | −4.24957 | − | 0.640519i | −0.167717 | − | 0.0252793i | ||||
\(643\) | 27.9728 | + | 35.0768i | 1.10314 | + | 1.38329i | 0.916105 | + | 0.400939i | \(0.131316\pi\) |
0.187034 | + | 0.982353i | \(0.440112\pi\) | |||||||
\(644\) | 2.10896 | 0.0831046 | ||||||||
\(645\) | −0.243821 | − | 0.0843618i | −0.00960045 | − | 0.00332174i | ||||
\(646\) | −0.440483 | −0.0173306 | ||||||||
\(647\) | 0.670069 | + | 0.840240i | 0.0263431 | + | 0.0330333i | 0.794829 | − | 0.606834i | \(-0.207561\pi\) |
−0.768485 | + | 0.639867i | \(0.778989\pi\) | |||||||
\(648\) | −10.9976 | − | 1.65762i | −0.432027 | − | 0.0651176i | ||||
\(649\) | 4.33345 | − | 18.9861i | 0.170103 | − | 0.745268i | ||||
\(650\) | −22.2473 | − | 15.1680i | −0.872612 | − | 0.594937i | ||||
\(651\) | −5.01513 | − | 8.68646i | −0.196559 | − | 0.340449i | ||||
\(652\) | 6.08407 | − | 10.5379i | 0.238270 | − | 0.412697i | ||||
\(653\) | 24.7201 | − | 11.9046i | 0.967371 | − | 0.465861i | 0.117628 | − | 0.993058i | \(-0.462471\pi\) |
0.849744 | + | 0.527196i | \(0.176757\pi\) | |||||||
\(654\) | −12.7215 | − | 3.92405i | −0.497449 | − | 0.153443i | ||||
\(655\) | −0.0163594 | − | 0.218302i | −0.000639216 | − | 0.00852975i | ||||
\(656\) | −2.95324 | − | 12.9390i | −0.115305 | − | 0.505182i | ||||
\(657\) | −9.75618 | + | 24.8583i | −0.380625 | + | 0.969816i | ||||
\(658\) | −0.807838 | + | 10.7799i | −0.0314928 | + | 0.420242i | ||||
\(659\) | −17.5165 | + | 2.64018i | −0.682344 | + | 0.102847i | −0.481062 | − | 0.876686i | \(-0.659749\pi\) |
−0.201282 | + | 0.979533i | \(0.564511\pi\) | |||||||
\(660\) | 0.0509336 | + | 0.0472595i | 0.00198259 | + | 0.00183957i | ||||
\(661\) | −10.1238 | − | 4.87535i | −0.393769 | − | 0.189629i | 0.226513 | − | 0.974008i | \(-0.427268\pi\) |
−0.620282 | + | 0.784379i | \(0.712982\pi\) | |||||||
\(662\) | 11.7471 | − | 8.00904i | 0.456564 | − | 0.311280i | ||||
\(663\) | 0.802807 | + | 2.04552i | 0.0311784 | + | 0.0794414i | ||||
\(664\) | 24.2321 | − | 7.47461i | 0.940387 | − | 0.290071i | ||||
\(665\) | 0.0173430 | − | 0.0160920i | 0.000672534 | − | 0.000624021i | ||||
\(666\) | −10.2421 | + | 12.8432i | −0.396873 | + | 0.497662i | ||||
\(667\) | −12.3968 | + | 15.5451i | −0.480005 | + | 0.601907i | ||||
\(668\) | 11.8581 | − | 11.0027i | 0.458802 | − | 0.425706i | ||||
\(669\) | 1.31507 | − | 0.405645i | 0.0508435 | − | 0.0156831i | ||||
\(670\) | 0.250784 | + | 0.638986i | 0.00968862 | + | 0.0246862i | ||||
\(671\) | 18.2245 | − | 12.4253i | 0.703550 | − | 0.479672i | ||||
\(672\) | 3.37705 | + | 1.62630i | 0.130273 | + | 0.0627360i | ||||
\(673\) | −11.7371 | − | 10.8904i | −0.452431 | − | 0.419794i | 0.420761 | − | 0.907172i | \(-0.361763\pi\) |
−0.873191 | + | 0.487377i | \(0.837954\pi\) | |||||||
\(674\) | −27.0002 | + | 4.06962i | −1.04001 | + | 0.156756i | ||||
\(675\) | 1.38653 | − | 18.5019i | 0.0533675 | − | 0.712140i | ||||
\(676\) | −0.554893 | + | 1.41384i | −0.0213420 | + | 0.0543786i | ||||
\(677\) | −2.66450 | − | 11.6739i | −0.102405 | − | 0.448666i | −0.999970 | − | 0.00778325i | \(-0.997522\pi\) |
0.897565 | − | 0.440883i | \(-0.145335\pi\) | |||||||
\(678\) | −0.454551 | − | 6.06556i | −0.0174569 | − | 0.232946i | ||||
\(679\) | −16.5077 | − | 5.09194i | −0.633506 | − | 0.195411i | ||||
\(680\) | −0.113920 | + | 0.0548611i | −0.00436864 | + | 0.00210383i | ||||
\(681\) | 0.699775 | − | 1.21205i | 0.0268154 | − | 0.0464457i | ||||
\(682\) | −21.0378 | − | 36.4386i | −0.805581 | − | 1.39531i | ||||
\(683\) | −14.9639 | − | 10.2022i | −0.572579 | − | 0.390378i | 0.242133 | − | 0.970243i | \(-0.422153\pi\) |
−0.814713 | + | 0.579865i | \(0.803105\pi\) | |||||||
\(684\) | −0.105211 | + | 0.460959i | −0.00402284 | + | 0.0176252i | ||||
\(685\) | 1.06213 | + | 0.160091i | 0.0405820 | + | 0.00611676i | ||||
\(686\) | −18.0007 | − | 22.5722i | −0.687271 | − | 0.861811i | ||||
\(687\) | 10.9523 | 0.417858 | ||||||||
\(688\) | −32.1368 | − | 1.09007i | −1.22521 | − | 0.0415585i | ||||
\(689\) | −29.1592 | −1.11088 | ||||||||
\(690\) | −0.0821826 | − | 0.103054i | −0.00312864 | − | 0.00392319i | ||||
\(691\) | 18.3890 | + | 2.77170i | 0.699552 | + | 0.105441i | 0.489183 | − | 0.872181i | \(-0.337295\pi\) |
0.210370 | + | 0.977622i | \(0.432533\pi\) | |||||||
\(692\) | −0.664101 | + | 2.90962i | −0.0252453 | + | 0.110607i | ||||
\(693\) | 8.08686 | + | 5.51353i | 0.307194 | + | 0.209442i | ||||
\(694\) | −0.0698544 | − | 0.120991i | −0.00265164 | − | 0.00459277i | ||||
\(695\) | −0.126880 | + | 0.219763i | −0.00481283 | + | 0.00833607i | ||||
\(696\) | −12.6031 | + | 6.06931i | −0.477718 | + | 0.230057i | ||||
\(697\) | 2.58626 | + | 0.797756i | 0.0979616 | + | 0.0302172i | ||||
\(698\) | 2.20566 | + | 29.4324i | 0.0834854 | + | 1.11403i | ||||
\(699\) | 4.12657 | + | 18.0797i | 0.156081 | + | 0.683837i | ||||
\(700\) | 1.88460 | − | 4.80187i | 0.0712311 | − | 0.181494i | ||||
\(701\) | −0.0381708 | + | 0.509353i | −0.00144169 | + | 0.0192380i | −0.997878 | − | 0.0651076i | \(-0.979261\pi\) |
0.996437 | + | 0.0843456i | \(0.0268800\pi\) | |||||||
\(702\) | 19.7874 | − | 2.98247i | 0.746828 | − | 0.112566i | ||||
\(703\) | −0.772542 | − | 0.716814i | −0.0291370 | − | 0.0270351i | ||||
\(704\) | −8.46198 | − | 4.07507i | −0.318923 | − | 0.153585i | ||||
\(705\) | 0.143126 | − | 0.0975816i | 0.00539043 | − | 0.00367513i | ||||
\(706\) | −8.48104 | − | 21.6093i | −0.319188 | − | 0.813278i | ||||
\(707\) | −21.8279 | + | 6.73302i | −0.820923 | + | 0.253221i | ||||
\(708\) | 2.57064 | − | 2.38521i | 0.0966107 | − | 0.0896416i | ||||
\(709\) | 17.4313 | − | 21.8581i | 0.654645 | − | 0.820899i | −0.338104 | − | 0.941109i | \(-0.609785\pi\) |
0.992748 | + | 0.120210i | \(0.0383569\pi\) | |||||||
\(710\) | −0.175677 | + | 0.220293i | −0.00659306 | + | 0.00826743i | ||||
\(711\) | 23.8736 | − | 22.1515i | 0.895331 | − | 0.830745i | ||||
\(712\) | 9.97285 | − | 3.07622i | 0.373748 | − | 0.115286i | ||||
\(713\) | 7.47672 | + | 19.0504i | 0.280005 | + | 0.713442i | ||||
\(714\) | −1.35664 | + | 0.924942i | −0.0507710 | + | 0.0346151i | ||||
\(715\) | −0.446069 | − | 0.214816i | −0.0166821 | − | 0.00803365i | ||||
\(716\) | −0.767930 | − | 0.712535i | −0.0286989 | − | 0.0266287i | ||||
\(717\) | −6.70612 | + | 1.01079i | −0.250445 | + | 0.0377485i | ||||
\(718\) | 3.12425 | − | 41.6902i | 0.116596 | − | 1.55586i | ||||
\(719\) | −11.8768 | + | 30.2616i | −0.442930 | + | 1.12857i | 0.518879 | + | 0.854848i | \(0.326349\pi\) |
−0.961809 | + | 0.273720i | \(0.911746\pi\) | |||||||
\(720\) | 0.163887 | + | 0.718036i | 0.00610771 | + | 0.0267596i | ||||
\(721\) | −0.0510988 | − | 0.681866i | −0.00190302 | − | 0.0253940i | ||||
\(722\) | 29.6625 | + | 9.14967i | 1.10392 | + | 0.340515i | ||||
\(723\) | −4.35307 | + | 2.09633i | −0.161892 | + | 0.0779632i | ||||
\(724\) | −7.15330 | + | 12.3899i | −0.265850 | + | 0.460466i | ||||
\(725\) | 24.3165 | + | 42.1174i | 0.903092 | + | 1.56420i | ||||
\(726\) | 4.02491 | + | 2.74414i | 0.149379 | + | 0.101845i | ||||
\(727\) | 6.11025 | − | 26.7707i | 0.226616 | − | 0.992872i | −0.725760 | − | 0.687948i | \(-0.758512\pi\) |
0.952377 | − | 0.304924i | \(-0.0986310\pi\) | |||||||
\(728\) | −10.4544 | − | 1.57575i | −0.387466 | − | 0.0584012i | ||||
\(729\) | −3.59223 | − | 4.50451i | −0.133045 | − | 0.166834i | ||||
\(730\) | 1.00936 | 0.0373581 | ||||||||
\(731\) | 3.46935 | − | 5.56450i | 0.128319 | − | 0.205810i | ||||
\(732\) | 3.97187 | 0.146805 | ||||||||
\(733\) | −7.60826 | − | 9.54046i | −0.281018 | − | 0.352385i | 0.621211 | − | 0.783644i | \(-0.286641\pi\) |
−0.902228 | + | 0.431259i | \(0.858070\pi\) | |||||||
\(734\) | −3.37347 | − | 0.508469i | −0.124517 | − | 0.0187679i | ||||
\(735\) | −0.0416616 | + | 0.182531i | −0.00153671 | + | 0.00673278i | ||||
\(736\) | −6.31879 | − | 4.30808i | −0.232914 | − | 0.158798i | ||||
\(737\) | −9.10925 | − | 15.7777i | −0.335544 | − | 0.581179i | ||||
\(738\) | 5.66549 | − | 9.81292i | 0.208550 | − | 0.361218i | ||||
\(739\) | 1.09652 | − | 0.528058i | 0.0403363 | − | 0.0194249i | −0.413607 | − | 0.910456i | \(-0.635731\pi\) |
0.453943 | + | 0.891031i | \(0.350017\pi\) | |||||||
\(740\) | 0.152121 | + | 0.0469231i | 0.00559207 | + | 0.00172493i | ||||
\(741\) | 0.0441058 | + | 0.588551i | 0.00162027 | + | 0.0216209i | ||||
\(742\) | −4.84834 | − | 21.2420i | −0.177988 | − | 0.779817i | ||||
\(743\) | −3.94900 | + | 10.0619i | −0.144875 | + | 0.369135i | −0.984830 | − | 0.173521i | \(-0.944486\pi\) |
0.839956 | + | 0.542655i | \(0.182581\pi\) | |||||||
\(744\) | −1.07596 | + | 14.3577i | −0.0394465 | + | 0.526378i | ||||
\(745\) | −0.474301 | + | 0.0714894i | −0.0173770 | + | 0.00261917i | ||||
\(746\) | 13.7625 | + | 12.7697i | 0.503880 | + | 0.467533i | ||||
\(747\) | 27.1394 | + | 13.0697i | 0.992980 | + | 0.478194i | ||||
\(748\) | −1.45910 | + | 0.994797i | −0.0533499 | + | 0.0363734i | ||||
\(749\) | 2.14334 | + | 5.46114i | 0.0783160 | + | 0.199546i | ||||
\(750\) | −0.616377 | + | 0.190127i | −0.0225069 | + | 0.00694246i | ||||
\(751\) | 21.1760 | − | 19.6484i | 0.772723 | − | 0.716982i | −0.191669 | − | 0.981460i | \(-0.561390\pi\) |
0.964392 | + | 0.264478i | \(0.0851996\pi\) | |||||||
\(752\) | 13.4608 | − | 16.8793i | 0.490864 | − | 0.615523i | ||||
\(753\) | −11.9819 | + | 15.0249i | −0.436645 | + | 0.547536i | ||||
\(754\) | −38.4503 | + | 35.6767i | −1.40028 | + | 1.29927i | ||||
\(755\) | 1.08819 | − | 0.335661i | 0.0396032 | − | 0.0122160i | ||||
\(756\) | 1.40060 | + | 3.56866i | 0.0509392 | + | 0.129791i | ||||
\(757\) | 41.3008 | − | 28.1584i | 1.50110 | − | 1.02344i | 0.515023 | − | 0.857177i | \(-0.327784\pi\) |
0.986082 | − | 0.166259i | \(-0.0531689\pi\) | |||||||
\(758\) | 9.40615 | + | 4.52976i | 0.341647 | + | 0.164528i | ||||
\(759\) | 2.56447 | + | 2.37948i | 0.0930843 | + | 0.0863696i | ||||
\(760\) | −0.0335815 | + | 0.00506160i | −0.00121813 | + | 0.000183603i | ||||
\(761\) | −0.388288 | + | 5.18134i | −0.0140754 | + | 0.187823i | 0.985734 | + | 0.168310i | \(0.0538308\pi\) |
−0.999810 | + | 0.0195137i | \(0.993788\pi\) | |||||||
\(762\) | −3.13288 | + | 7.98245i | −0.113492 | + | 0.289174i | ||||
\(763\) | 4.04403 | + | 17.7181i | 0.146404 | + | 0.641437i | ||||
\(764\) | −0.915579 | − | 12.2176i | −0.0331245 | − | 0.442016i | ||||
\(765\) | −0.143522 | − | 0.0442707i | −0.00518905 | − | 0.00160061i | ||||
\(766\) | 31.5166 | − | 15.1776i | 1.13874 | − | 0.548388i | ||||
\(767\) | −12.4940 | + | 21.6402i | −0.451131 | + | 0.781381i | ||||
\(768\) | −4.95150 | − | 8.57625i | −0.178672 | − | 0.309469i | ||||
\(769\) | −13.1019 | − | 8.93274i | −0.472468 | − | 0.322123i | 0.303571 | − | 0.952809i | \(-0.401821\pi\) |
−0.776038 | + | 0.630686i | \(0.782774\pi\) | |||||||
\(770\) | 0.0823209 | − | 0.360671i | 0.00296664 | − | 0.0129977i | ||||
\(771\) | −11.1847 | − | 1.68582i | −0.402808 | − | 0.0607135i | ||||
\(772\) | 10.9341 | + | 13.7109i | 0.393526 | + | 0.493466i | ||||
\(773\) | 25.8123 | 0.928405 | 0.464202 | − | 0.885729i | \(-0.346341\pi\) | ||||
0.464202 | + | 0.885729i | \(0.346341\pi\) | |||||||
\(774\) | −19.4800 | − | 19.3444i | −0.700196 | − | 0.695321i | ||||
\(775\) | 50.0570 | 1.79810 | ||||||||
\(776\) | 15.4610 | + | 19.3875i | 0.555019 | + | 0.695972i | ||||
\(777\) | −3.88453 | − | 0.585499i | −0.139357 | − | 0.0210047i | ||||
\(778\) | 11.0713 | − | 48.5065i | 0.396925 | − | 1.73904i | ||||
\(779\) | 0.600622 | + | 0.409497i | 0.0215195 | + | 0.0146718i | ||||
\(780\) | −0.0445767 | − | 0.0772090i | −0.00159610 | − | 0.00276453i | ||||
\(781\) | 3.73911 | − | 6.47633i | 0.133796 | − | 0.231741i | ||||
\(782\) | 3.01835 | − | 1.45356i | 0.107936 | − | 0.0519792i | ||||
\(783\) | −34.5374 | − | 10.6534i | −1.23427 | − | 0.380721i | ||||
\(784\) | 1.74377 | + | 23.2690i | 0.0622774 | + | 0.831034i | ||||
\(785\) | 0.240742 | + | 1.05476i | 0.00859244 | + | 0.0376459i | ||||
\(786\) | −1.49083 | + | 3.79856i | −0.0531760 | + | 0.135490i | ||||
\(787\) | −1.90765 | + | 25.4559i | −0.0680005 | + | 0.907404i | 0.854014 | + | 0.520250i | \(0.174161\pi\) |
−0.922015 | + | 0.387155i | \(0.873458\pi\) | |||||||
\(788\) | 13.2332 | − | 1.99458i | 0.471413 | − | 0.0710541i | ||||
\(789\) | 13.1838 | + | 12.2328i | 0.469356 | + | 0.435498i | ||||
\(790\) | −1.10907 | − | 0.534099i | −0.0394589 | − | 0.0190024i | ||||
\(791\) | −6.86061 | + | 4.67749i | −0.243935 | + | 0.166312i | ||||
\(792\) | −5.13287 | − | 13.0783i | −0.182389 | − | 0.464719i | ||||
\(793\) | −27.0447 | + | 8.34217i | −0.960384 | + | 0.296239i | ||||
\(794\) | −7.44383 | + | 6.90687i | −0.264172 | + | 0.245116i | ||||
\(795\) | −0.217688 | + | 0.272973i | −0.00772061 | + | 0.00968134i | ||||
\(796\) | 8.98863 | − | 11.2714i | 0.318594 | − | 0.399504i | ||||
\(797\) | 20.6737 | − | 19.1824i | 0.732302 | − | 0.679477i | −0.223097 | − | 0.974796i | \(-0.571617\pi\) |
0.955398 | + | 0.295320i | \(0.0954262\pi\) | |||||||
\(798\) | −0.421415 | + | 0.129989i | −0.0149179 | + | 0.00460157i | ||||
\(799\) | 1.60850 | + | 4.09838i | 0.0569045 | + | 0.144990i | ||||
\(800\) | −15.4556 | + | 10.5375i | −0.546438 | + | 0.372555i | ||||
\(801\) | 11.1694 | + | 5.37890i | 0.394651 | + | 0.190054i | ||||
\(802\) | −10.5001 | − | 9.74267i | −0.370772 | − | 0.344026i | ||||
\(803\) | −26.4899 | + | 3.99271i | −0.934808 | + | 0.140900i | ||||
\(804\) | 0.245162 | − | 3.27146i | 0.00864620 | − | 0.115375i | ||||
\(805\) | −0.0657384 | + | 0.167499i | −0.00231697 | + | 0.00590355i | ||||
\(806\) | 12.0135 | + | 52.6346i | 0.423158 | + | 1.85397i | ||||
\(807\) | −0.696983 | − | 9.30059i | −0.0245350 | − | 0.327396i | ||||
\(808\) | 31.3328 | + | 9.66490i | 1.10229 | + | 0.340010i | ||||
\(809\) | 19.3936 | − | 9.33946i | 0.681842 | − | 0.328358i | −0.0607010 | − | 0.998156i | \(-0.519334\pi\) |
0.742543 | + | 0.669798i | \(0.233619\pi\) | |||||||
\(810\) | −0.249675 | + | 0.432450i | −0.00877270 | + | 0.0151948i | ||||
\(811\) | −15.9074 | − | 27.5524i | −0.558584 | − | 0.967497i | −0.997615 | − | 0.0690245i | \(-0.978011\pi\) |
0.439030 | − | 0.898472i | \(-0.355322\pi\) | |||||||
\(812\) | −8.30268 | − | 5.66067i | −0.291367 | − | 0.198651i | ||||
\(813\) | 3.77309 | − | 16.5310i | 0.132328 | − | 0.579767i | ||||
\(814\) | −16.2951 | − | 2.45609i | −0.571144 | − | 0.0860861i | ||||
\(815\) | 0.647301 | + | 0.811690i | 0.0226740 | + | 0.0284323i | ||||
\(816\) | 3.27922 | 0.114796 | ||||||||
\(817\) | 1.33096 | − | 1.15350i | 0.0465643 | − | 0.0403558i | ||||
\(818\) | −53.9141 | −1.88506 | ||||||||
\(819\) | −7.83017 | − | 9.81872i | −0.273608 | − | 0.343094i | ||||
\(820\) | −0.108581 | − | 0.0163660i | −0.00379183 | − | 0.000571526i | ||||
\(821\) | −6.70569 | + | 29.3796i | −0.234030 | + | 1.02535i | 0.712230 | + | 0.701946i | \(0.247685\pi\) |
−0.946260 | + | 0.323407i | \(0.895172\pi\) | |||||||
\(822\) | −16.5432 | − | 11.2789i | −0.577009 | − | 0.393398i | ||||
\(823\) | 18.5073 | + | 32.0556i | 0.645125 | + | 1.11739i | 0.984273 | + | 0.176655i | \(0.0565278\pi\) |
−0.339148 | + | 0.940733i | \(0.610139\pi\) | |||||||
\(824\) | −0.490764 | + | 0.850028i | −0.0170966 | + | 0.0296121i | ||||
\(825\) | 7.70947 | − | 3.71268i | 0.268409 | − | 0.129259i | ||||
\(826\) | −17.8419 | − | 5.50348i | −0.620798 | − | 0.191491i | ||||
\(827\) | 0.862644 | + | 11.5112i | 0.0299971 | + | 0.400283i | 0.991911 | + | 0.126932i | \(0.0405130\pi\) |
−0.961914 | + | 0.273351i | \(0.911868\pi\) | |||||||
\(828\) | −0.800185 | − | 3.50584i | −0.0278084 | − | 0.121836i | ||||
\(829\) | −6.98702 | + | 17.8026i | −0.242669 | + | 0.618311i | −0.999372 | − | 0.0354486i | \(-0.988714\pi\) |
0.756702 | + | 0.653760i | \(0.226809\pi\) | |||||||
\(830\) | 0.0850847 | − | 1.13538i | 0.00295333 | − | 0.0394095i | ||||
\(831\) | −2.06260 | + | 0.310888i | −0.0715509 | + | 0.0107846i | ||||
\(832\) | 8.83414 | + | 8.19689i | 0.306269 | + | 0.284176i | ||||
\(833\) | −4.28730 | − | 2.06466i | −0.148546 | − | 0.0715361i | ||||
\(834\) | 3.90827 | − | 2.66461i | 0.135332 | − | 0.0922680i | ||||
\(835\) | 0.504232 | + | 1.28476i | 0.0174497 | + | 0.0444610i | ||||
\(836\) | −0.453242 | + | 0.139807i | −0.0156757 | + | 0.00483531i | ||||
\(837\) | −27.2706 | + | 25.3034i | −0.942609 | + | 0.874613i | ||||
\(838\) | 13.1943 | − | 16.5451i | 0.455790 | − | 0.571543i | ||||
\(839\) | 8.79264 | − | 11.0256i | 0.303556 | − | 0.380647i | −0.606534 | − | 0.795057i | \(-0.707441\pi\) |
0.910090 | + | 0.414410i | \(0.136012\pi\) | |||||||
\(840\) | −0.0927988 | + | 0.0861047i | −0.00320186 | + | 0.00297090i | ||||
\(841\) | 62.8174 | − | 19.3766i | 2.16612 | − | 0.668159i | ||||
\(842\) | 19.9943 | + | 50.9445i | 0.689048 | + | 1.75566i | ||||
\(843\) | 12.7164 | − | 8.66986i | 0.437974 | − | 0.298606i | ||||
\(844\) | 7.79165 | + | 3.75226i | 0.268200 | + | 0.129158i | ||||
\(845\) | −0.0949944 | − | 0.0881420i | −0.00326791 | − | 0.00303218i | ||||
\(846\) | 18.2265 | − | 2.74720i | 0.626639 | − | 0.0944506i | ||||
\(847\) | 0.496955 | − | 6.63140i | 0.0170756 | − | 0.227858i | ||||
\(848\) | −15.8976 | + | 40.5065i | −0.545927 | + | 1.39100i | ||||
\(849\) | −3.70193 | − | 16.2192i | −0.127050 | − | 0.556642i | ||||
\(850\) | −0.612360 | − | 8.17138i | −0.0210038 | − | 0.280276i | ||||
\(851\) | 7.65916 | + | 2.36254i | 0.262553 | + | 0.0809867i | ||||
\(852\) | 1.21326 | − | 0.584274i | 0.0415655 | − | 0.0200169i | ||||
\(853\) | 1.42288 | − | 2.46451i | 0.0487186 | − | 0.0843831i | −0.840638 | − | 0.541598i | \(-0.817820\pi\) |
0.889356 | + | 0.457215i | \(0.151153\pi\) | |||||||
\(854\) | −10.5739 | − | 18.3145i | −0.361831 | − | 0.626709i | ||||
\(855\) | −0.0333310 | − | 0.0227247i | −0.00113989 | − | 0.000777167i | ||||
\(856\) | 1.87392 | − | 8.21018i | 0.0640493 | − | 0.280618i | ||||
\(857\) | −32.1052 | − | 4.83907i | −1.09669 | − | 0.165300i | −0.424319 | − | 0.905513i | \(-0.639486\pi\) |
−0.672372 | + | 0.740213i | \(0.734725\pi\) | |||||||
\(858\) | 5.75410 | + | 7.21542i | 0.196442 | + | 0.246330i | ||||
\(859\) | −10.2489 | −0.349686 | −0.174843 | − | 0.984596i | \(-0.555942\pi\) | ||||
−0.174843 | + | 0.984596i | \(0.555942\pi\) | |||||||
\(860\) | −0.105538 | + | 0.244219i | −0.00359881 | + | 0.00832780i | ||||
\(861\) | 2.70973 | 0.0923472 | ||||||||
\(862\) | −13.0583 | − | 16.3746i | −0.444767 | − | 0.557720i | ||||
\(863\) | −6.75590 | − | 1.01829i | −0.229973 | − | 0.0346629i | 0.0330444 | − | 0.999454i | \(-0.489480\pi\) |
−0.263018 | + | 0.964791i | \(0.584718\pi\) | |||||||
\(864\) | 3.09347 | − | 13.5534i | 0.105242 | − | 0.461095i | ||||
\(865\) | −0.210388 | − | 0.143440i | −0.00715342 | − | 0.00487712i | ||||
\(866\) | 17.2258 | + | 29.8359i | 0.585355 | + | 1.01387i | ||||
\(867\) | −0.334366 | + | 0.579139i | −0.0113557 | + | 0.0196686i | ||||
\(868\) | −9.31872 | + | 4.48766i | −0.316298 | + | 0.152321i | ||||
\(869\) | 31.2194 | + | 9.62990i | 1.05904 | + | 0.326672i | ||||
\(870\) | 0.0469343 | + | 0.626295i | 0.00159122 | + | 0.0212334i | ||||
\(871\) | 5.20177 | + | 22.7904i | 0.176255 | + | 0.772225i | ||||
\(872\) | 9.53080 | − | 24.2841i | 0.322754 | − | 0.822363i | ||||
\(873\) | −2.20125 | + | 29.3736i | −0.0745010 | + | 0.994147i | ||||
\(874\) | 0.889751 | − | 0.134108i | 0.0300963 | − | 0.00453629i | ||||
\(875\) | 0.645488 | + | 0.598925i | 0.0218215 | + | 0.0202474i | ||||
\(876\) | −4.34623 | − | 2.09303i | −0.146846 | − | 0.0707171i | ||||
\(877\) | −13.6284 | + | 9.29168i | −0.460198 | + | 0.313758i | −0.771134 | − | 0.636673i | \(-0.780310\pi\) |
0.310936 | + | 0.950431i | \(0.399358\pi\) | |||||||
\(878\) | 19.4792 | + | 49.6323i | 0.657392 | + | 1.67501i | ||||
\(879\) | −4.50271 | + | 1.38890i | −0.151873 | + | 0.0468465i | ||||
\(880\) | −0.541608 | + | 0.502539i | −0.0182576 | + | 0.0169406i | ||||
\(881\) | 11.8439 | − | 14.8518i | 0.399031 | − | 0.500369i | −0.541206 | − | 0.840890i | \(-0.682032\pi\) |
0.940237 | + | 0.340521i | \(0.110603\pi\) | |||||||
\(882\) | −12.4212 | + | 15.5757i | −0.418243 | + | 0.524460i | ||||
\(883\) | 9.01199 | − | 8.36191i | 0.303278 | − | 0.281401i | −0.513822 | − | 0.857897i | \(-0.671771\pi\) |
0.817100 | + | 0.576496i | \(0.195580\pi\) | |||||||
\(884\) | 2.16526 | − | 0.667895i | 0.0728256 | − | 0.0224637i | ||||
\(885\) | 0.109310 | + | 0.278516i | 0.00367440 | + | 0.00936223i | ||||
\(886\) | 41.9314 | − | 28.5883i | 1.40871 | − | 0.960444i | ||||
\(887\) | 21.7247 | + | 10.4620i | 0.729443 | + | 0.351281i | 0.761465 | − | 0.648206i | \(-0.224480\pi\) |
−0.0320221 | + | 0.999487i | \(0.510195\pi\) | |||||||
\(888\) | 4.13370 | + | 3.83551i | 0.138718 | + | 0.128711i | ||||
\(889\) | 11.5754 | − | 1.74472i | 0.388228 | − | 0.0585159i | ||||
\(890\) | 0.0350171 | − | 0.467271i | 0.00117378 | − | 0.0156629i | ||||
\(891\) | 4.84190 | − | 12.3370i | 0.162210 | − | 0.413304i | ||||
\(892\) | −0.315783 | − | 1.38354i | −0.0105732 | − | 0.0463243i | ||||
\(893\) | 0.0883699 | + | 1.17921i | 0.00295719 | + | 0.0394609i | ||||
\(894\) | 8.54381 | + | 2.63542i | 0.285748 | + | 0.0881415i | ||||
\(895\) | 0.0805284 | − | 0.0387805i | 0.00269177 | − | 0.00129629i | ||||
\(896\) | −10.1074 | + | 17.5066i | −0.337665 | + | 0.584854i | ||||
\(897\) | −2.24440 | − | 3.88741i | −0.0749383 | − | 0.129797i | ||||
\(898\) | −2.42473 | − | 1.65315i | −0.0809141 | − | 0.0551663i | ||||
\(899\) | 21.6984 | − | 95.0671i | 0.723683 | − | 3.17066i | ||||
\(900\) | −8.69748 | − | 1.31093i | −0.289916 | − | 0.0436978i | ||||
\(901\) | −5.53279 | − | 6.93790i | −0.184324 | − | 0.231135i | ||||
\(902\) | 11.3670 | 0.378478 | ||||||||
\(903\) | 1.67705 | − | 6.34744i | 0.0558086 | − | 0.211230i | ||||
\(904\) | 11.9191 | 0.396425 | ||||||||
\(905\) | −0.761059 | − | 0.954338i | −0.0252985 | − | 0.0317233i | ||||
\(906\) | −20.9902 | − | 3.16377i | −0.697354 | − | 0.105109i | ||||
\(907\) | −0.396490 | + | 1.73714i | −0.0131652 | + | 0.0576807i | −0.981084 | − | 0.193583i | \(-0.937989\pi\) |
0.967919 | + | 0.251264i | \(0.0808462\pi\) | |||||||
\(908\) | −1.19242 | − | 0.812976i | −0.0395717 | − | 0.0269795i | ||||
\(909\) | 19.4747 | + | 33.7311i | 0.645934 | + | 1.11879i | ||||
\(910\) | −0.237343 | + | 0.411090i | −0.00786785 | + | 0.0136275i | ||||
\(911\) | −43.9390 | + | 21.1599i | −1.45576 | + | 0.701059i | −0.983585 | − | 0.180444i | \(-0.942247\pi\) |
−0.472179 | + | 0.881503i | \(0.656532\pi\) | |||||||
\(912\) | 0.841631 | + | 0.259609i | 0.0278692 | + | 0.00859650i | ||||
\(913\) | 2.25821 | + | 30.1337i | 0.0747357 | + | 0.997279i | ||||
\(914\) | −9.27676 | − | 40.6441i | −0.306848 | − | 1.34439i | ||||
\(915\) | −0.123807 | + | 0.315456i | −0.00409294 | + | 0.0104287i | ||||
\(916\) | 0.843988 | − | 11.2622i | 0.0278862 | − | 0.372115i | ||||
\(917\) | 5.50834 | − | 0.830249i | 0.181901 | − | 0.0274172i | ||||
\(918\) | 4.46417 | + | 4.14215i | 0.147340 | + | 0.136711i | ||||
\(919\) | 2.44258 | + | 1.17628i | 0.0805731 | + | 0.0388020i | 0.473736 | − | 0.880667i | \(-0.342905\pi\) |
−0.393163 | + | 0.919469i | \(0.628619\pi\) | |||||||
\(920\) | 0.213410 | − | 0.145500i | 0.00703590 | − | 0.00479700i | ||||
\(921\) | −4.97508 | − | 12.6763i | −0.163934 | − | 0.417698i | ||||
\(922\) | −47.6526 | + | 14.6989i | −1.56935 | + | 0.484082i | ||||
\(923\) | −7.03397 | + | 6.52657i | −0.231526 | + | 0.214825i | ||||
\(924\) | −1.10236 | + | 1.38232i | −0.0362651 | + | 0.0454750i | ||||
\(925\) | 12.2236 | − | 15.3279i | 0.401909 | − | 0.503978i | ||||
\(926\) | −9.83148 | + | 9.12228i | −0.323082 | + | 0.299777i | ||||
\(927\) | −1.11412 | + | 0.343659i | −0.0365924 | + | 0.0112873i | ||||
\(928\) | 13.3129 | + | 33.9206i | 0.437016 | + | 1.11350i | ||||
\(929\) | −5.24871 | + | 3.57851i | −0.172204 | + | 0.117407i | −0.646355 | − | 0.763037i | \(-0.723708\pi\) |
0.474151 | + | 0.880444i | \(0.342755\pi\) | |||||||
\(930\) | 0.582423 | + | 0.280480i | 0.0190984 | + | 0.00919731i | ||||
\(931\) | −0.936906 | − | 0.869322i | −0.0307059 | − | 0.0284909i | ||||
\(932\) | 18.9093 | − | 2.85011i | 0.619394 | − | 0.0933586i | ||||
\(933\) | −0.00317049 | + | 0.0423073i | −0.000103797 | + | 0.00138508i | ||||
\(934\) | 18.7548 | − | 47.7866i | 0.613677 | − | 1.56362i | ||||
\(935\) | −0.0335276 | − | 0.146894i | −0.00109647 | − | 0.00480395i | ||||
\(936\) | 1.34718 | + | 17.9768i | 0.0440339 | + | 0.587591i | ||||
\(937\) | −47.5975 | − | 14.6819i | −1.55494 | − | 0.479636i | −0.606101 | − | 0.795388i | \(-0.707267\pi\) |
−0.948842 | + | 0.315751i | \(0.897744\pi\) | |||||||
\(938\) | −15.7375 | + | 7.57879i | −0.513848 | + | 0.247456i | ||||
\(939\) | 0.749260 | − | 1.29776i | 0.0244512 | − | 0.0423507i | ||||
\(940\) | −0.0893134 | − | 0.154695i | −0.00291308 | − | 0.00504560i | ||||
\(941\) | −4.54663 | − | 3.09984i | −0.148216 | − | 0.101052i | 0.486942 | − | 0.873435i | \(-0.338112\pi\) |
−0.635158 | + | 0.772383i | \(0.719065\pi\) | |||||||
\(942\) | 4.48753 | − | 19.6611i | 0.146212 | − | 0.640595i | ||||
\(943\) | −5.46698 | − | 0.824015i | −0.178030 | − | 0.0268336i | ||||
\(944\) | 23.2497 | + | 29.1542i | 0.756713 | + | 0.948888i | ||||
\(945\) | −0.327090 | −0.0106402 | ||||||||
\(946\) | 7.03500 | − | 26.6267i | 0.228728 | − | 0.865709i | ||||
\(947\) | 49.9161 | 1.62206 | 0.811028 | − | 0.585007i | \(-0.198908\pi\) | ||||
0.811028 | + | 0.585007i | \(0.198908\pi\) | |||||||
\(948\) | 3.66804 | + | 4.59958i | 0.119133 | + | 0.149387i | ||||
\(949\) | 33.9897 | + | 5.12313i | 1.10335 | + | 0.166304i | ||||
\(950\) | 0.489745 | − | 2.14571i | 0.0158894 | − | 0.0696161i | ||||
\(951\) | 12.4265 | + | 8.47225i | 0.402957 | + | 0.274732i | ||||
\(952\) | −1.60874 | − | 2.78643i | −0.0521397 | − | 0.0903086i | ||||
\(953\) | −10.2470 | + | 17.7483i | −0.331932 | + | 0.574923i | −0.982891 | − | 0.184190i | \(-0.941034\pi\) |
0.650959 | + | 0.759113i | \(0.274367\pi\) | |||||||
\(954\) | −33.4722 | + | 16.1193i | −1.08370 | + | 0.521883i | ||||
\(955\) | 0.998889 | + | 0.308116i | 0.0323233 | + | 0.00997041i | ||||
\(956\) | 0.522611 | + | 6.97376i | 0.0169025 | + | 0.225548i | ||||
\(957\) | −3.70918 | − | 16.2510i | −0.119901 | − | 0.525320i | ||||
\(958\) | 1.31455 | − | 3.34942i | 0.0424712 | − | 0.108215i | ||||
\(959\) | −2.04258 | + | 27.2563i | −0.0659583 | + | 0.880152i | ||||
\(960\) | 0.142686 | − | 0.0215065i | 0.00460518 | − | 0.000694119i | ||||
\(961\) | −50.8497 | − | 47.1816i | −1.64031 | − | 1.52199i | ||||
\(962\) | 19.0508 | + | 9.17438i | 0.614222 | + | 0.295794i | ||||
\(963\) | 8.26514 | − | 5.63507i | 0.266340 | − | 0.181588i | ||||
\(964\) | 1.82019 | + | 4.63778i | 0.0586245 | + | 0.149373i | ||||
\(965\) | −1.42978 | + | 0.441029i | −0.0460263 | + | 0.0141972i | ||||
\(966\) | 2.45873 | − | 2.28137i | 0.0791084 | − | 0.0734018i | ||||
\(967\) | −14.7409 | + | 18.4845i | −0.474035 | + | 0.594422i | −0.960154 | − | 0.279471i | \(-0.909841\pi\) |
0.486119 | + | 0.873893i | \(0.338412\pi\) | |||||||
\(968\) | −5.95166 | + | 7.46314i | −0.191294 | + | 0.239875i | ||||
\(969\) | −0.131666 | + | 0.122168i | −0.00422972 | + | 0.00392461i | ||||
\(970\) | 1.06390 | − | 0.328171i | 0.0341599 | − | 0.0105369i | ||||
\(971\) | 10.1901 | + | 25.9639i | 0.327015 | + | 0.833222i | 0.995951 | + | 0.0899010i | \(0.0286551\pi\) |
−0.668935 | + | 0.743321i | \(0.733250\pi\) | |||||||
\(972\) | 8.31894 | − | 5.67176i | 0.266830 | − | 0.181922i | ||||
\(973\) | −5.81780 | − | 2.80171i | −0.186510 | − | 0.0898186i | ||||
\(974\) | −48.3824 | − | 44.8923i | −1.55027 | − | 1.43844i | ||||
\(975\) | −10.8569 | + | 1.63641i | −0.347698 | + | 0.0524070i | ||||
\(976\) | −3.15625 | + | 42.1172i | −0.101029 | + | 1.34814i | ||||
\(977\) | 3.69581 | − | 9.41676i | 0.118239 | − | 0.301269i | −0.859485 | − | 0.511160i | \(-0.829216\pi\) |
0.977725 | + | 0.209892i | \(0.0673111\pi\) | |||||||
\(978\) | −4.30629 | − | 18.8671i | −0.137700 | − | 0.603303i | ||||
\(979\) | 0.929377 | + | 12.4017i | 0.0297030 | + | 0.396359i | ||||
\(980\) | 0.184486 | + | 0.0569063i | 0.00589318 | + | 0.00181781i | ||||
\(981\) | 27.9193 | − | 13.4452i | 0.891396 | − | 0.429273i | ||||
\(982\) | 13.0103 | − | 22.5345i | 0.415176 | − | 0.719105i | ||||
\(983\) | 17.8776 | + | 30.9649i | 0.570206 | + | 0.987627i | 0.996544 | + | 0.0830626i | \(0.0264701\pi\) |
−0.426338 | + | 0.904564i | \(0.640197\pi\) | |||||||
\(984\) | −3.21380 | − | 2.19113i | −0.102452 | − | 0.0698507i | ||||
\(985\) | −0.254078 | + | 1.11319i | −0.00809558 | + | 0.0354691i | ||||
\(986\) | −15.7843 | − | 2.37911i | −0.502676 | − | 0.0757662i | ||||
\(987\) | 2.74832 | + | 3.44629i | 0.0874801 | + | 0.109697i | ||||
\(988\) | 0.608603 | 0.0193622 | ||||||||
\(989\) | −5.31374 | + | 12.2962i | −0.168967 | + | 0.390997i | ||||
\(990\) | −0.630799 | −0.0200481 | ||||||||
\(991\) | 6.00717 | + | 7.53276i | 0.190824 | + | 0.239286i | 0.868035 | − | 0.496503i | \(-0.165383\pi\) |
−0.677211 | + | 0.735789i | \(0.736811\pi\) | |||||||
\(992\) | 37.0876 | + | 5.59006i | 1.17753 | + | 0.177484i | ||||
\(993\) | 1.29005 | − | 5.65207i | 0.0409384 | − | 0.179363i | ||||
\(994\) | −5.92404 | − | 4.03894i | −0.187899 | − | 0.128107i | ||||
\(995\) | 0.615017 | + | 1.06524i | 0.0194974 | + | 0.0337704i | ||||
\(996\) | −2.72071 | + | 4.71241i | −0.0862091 | + | 0.149319i | ||||
\(997\) | 20.7076 | − | 9.97224i | 0.655815 | − | 0.315824i | −0.0762198 | − | 0.997091i | \(-0.524285\pi\) |
0.732035 | + | 0.681267i | \(0.238571\pi\) | |||||||
\(998\) | −3.84380 | − | 1.18566i | −0.121674 | − | 0.0375313i | ||||
\(999\) | 1.08883 | + | 14.5294i | 0.0344490 | + | 0.459690i |
(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 | 731.2.u.b.52.8 | ✓ | 348 | |
43.24 | even | 21 | inner | 731.2.u.b.239.8 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.u.b.52.8 | ✓ | 348 | 1.1 | even | 1 | trivial | |
731.2.u.b.239.8 | yes | 348 | 43.24 | even | 21 | inner |