Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 28.4 | ||
Character | \(\chi\) | \(=\) | 729.28 |
Dual form | 729.2.g.b.703.4 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{22}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.652974 | + | 0.429468i | −0.461722 | + | 0.303679i | −0.758975 | − | 0.651119i | \(-0.774300\pi\) |
0.297253 | + | 0.954799i | \(0.403929\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.550227 | + | 1.27557i | −0.275114 | + | 0.637785i | ||||
\(5\) | −1.01614 | + | 1.07704i | −0.454430 | + | 0.481668i | −0.913561 | − | 0.406701i | \(-0.866679\pi\) |
0.459132 | + | 0.888368i | \(0.348161\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.77556 | + | 0.441300i | 1.42703 | + | 0.166796i | 0.794275 | − | 0.607558i | \(-0.207851\pi\) |
0.632753 | + | 0.774354i | \(0.281925\pi\) | |||||||
\(8\) | −0.459961 | − | 2.60857i | −0.162621 | − | 0.922268i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.200956 | − | 1.13968i | 0.0635478 | − | 0.360398i | ||||
\(11\) | 1.44963 | − | 4.84210i | 0.437079 | − | 1.45995i | −0.401849 | − | 0.915706i | \(-0.631632\pi\) |
0.838929 | − | 0.544241i | \(-0.183182\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.261201 | − | 4.48466i | 0.0724443 | − | 1.24382i | −0.744705 | − | 0.667394i | \(-0.767410\pi\) |
0.817149 | − | 0.576426i | \(-0.195553\pi\) | |||||||
\(14\) | −2.65487 | + | 1.33332i | −0.709543 | + | 0.356346i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.485993 | − | 0.515122i | −0.121498 | − | 0.128781i | ||||
\(17\) | 4.30582 | − | 1.56719i | 1.04431 | − | 0.380099i | 0.237800 | − | 0.971314i | \(-0.423574\pi\) |
0.806514 | + | 0.591215i | \(0.201352\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.19524 | + | 1.52694i | 0.962455 | + | 0.350305i | 0.774995 | − | 0.631967i | \(-0.217752\pi\) |
0.187460 | + | 0.982272i | \(0.439975\pi\) | |||||||
\(20\) | −0.814736 | − | 1.88877i | −0.182181 | − | 0.422342i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.13295 | + | 3.78433i | 0.241547 | + | 0.806822i | ||||
\(23\) | −3.43157 | + | 0.401093i | −0.715532 | + | 0.0836337i | −0.466066 | − | 0.884750i | \(-0.654329\pi\) |
−0.249466 | + | 0.968384i | \(0.580255\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.163239 | + | 2.80270i | 0.0326477 | + | 0.560540i | ||||
\(26\) | 1.75546 | + | 3.04054i | 0.344273 | + | 0.596299i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.64032 | + | 4.57318i | −0.498974 | + | 0.864249i | ||||
\(29\) | −0.583488 | − | 0.293038i | −0.108351 | − | 0.0544159i | 0.393798 | − | 0.919197i | \(-0.371161\pi\) |
−0.502149 | + | 0.864781i | \(0.667457\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.393020 | + | 0.527918i | 0.0705886 | + | 0.0948169i | 0.836015 | − | 0.548706i | \(-0.184879\pi\) |
−0.765427 | + | 0.643523i | \(0.777472\pi\) | |||||||
\(32\) | 5.69339 | + | 1.34936i | 1.00646 | + | 0.238535i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.13853 | + | 2.87254i | −0.366755 | + | 0.492637i | ||||
\(35\) | −4.31178 | + | 3.61801i | −0.728824 | + | 0.611556i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.766165 | + | 0.642889i | 0.125957 | + | 0.105690i | 0.703590 | − | 0.710606i | \(-0.251579\pi\) |
−0.577633 | + | 0.816296i | \(0.696024\pi\) | |||||||
\(38\) | −3.39516 | + | 0.804667i | −0.550767 | + | 0.130534i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.27692 | + | 2.15526i | 0.518126 | + | 0.340777i | ||||
\(41\) | −0.570482 | − | 0.375212i | −0.0890943 | − | 0.0585983i | 0.504180 | − | 0.863598i | \(-0.331795\pi\) |
−0.593274 | + | 0.805000i | \(0.702165\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.16684 | − | 1.93558i | 1.24543 | − | 0.295173i | 0.445510 | − | 0.895277i | \(-0.353022\pi\) |
0.799922 | + | 0.600104i | \(0.204874\pi\) | |||||||
\(44\) | 5.37881 | + | 4.51336i | 0.810886 | + | 0.680414i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.06847 | − | 1.73565i | 0.304979 | − | 0.255908i | ||||
\(47\) | −4.73832 | + | 6.36466i | −0.691155 | + | 0.928382i | −0.999740 | − | 0.0228150i | \(-0.992737\pi\) |
0.308585 | + | 0.951197i | \(0.400145\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 7.24880 | + | 1.71800i | 1.03554 | + | 0.245428i | ||||
\(50\) | −1.31026 | − | 1.75998i | −0.185299 | − | 0.248899i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5.57677 | + | 2.80076i | 0.773359 | + | 0.388396i | ||||
\(53\) | 2.07469 | − | 3.59347i | 0.284981 | − | 0.493601i | −0.687624 | − | 0.726067i | \(-0.741346\pi\) |
0.972605 | + | 0.232466i | \(0.0746794\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.74212 | + | 6.48154i | 0.504587 | + | 0.873971i | ||||
\(56\) | −0.585450 | − | 10.0518i | −0.0782340 | − | 1.34323i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.506853 | − | 0.0592426i | 0.0665530 | − | 0.00777893i | ||||
\(59\) | 1.51145 | + | 5.04858i | 0.196773 | + | 0.657269i | 0.998244 | + | 0.0592349i | \(0.0188661\pi\) |
−0.801471 | + | 0.598034i | \(0.795949\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.68977 | − | 6.23558i | −0.344389 | − | 0.798384i | −0.999096 | − | 0.0425013i | \(-0.986467\pi\) |
0.654707 | − | 0.755883i | \(-0.272792\pi\) | |||||||
\(62\) | −0.483356 | − | 0.175927i | −0.0613862 | − | 0.0223428i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.96617 | + | 1.07960i | −0.370771 | + | 0.134950i | ||||
\(65\) | 4.56474 | + | 4.83835i | 0.566187 | + | 0.600123i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.73732 | − | 2.37917i | 0.578756 | − | 0.290662i | −0.135239 | − | 0.990813i | \(-0.543180\pi\) |
0.713995 | + | 0.700151i | \(0.246884\pi\) | |||||||
\(68\) | −0.370118 | + | 6.35468i | −0.0448834 | + | 0.770618i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.26166 | − | 4.21424i | 0.150797 | − | 0.503698i | ||||
\(71\) | 1.06500 | − | 6.03991i | 0.126392 | − | 0.716805i | −0.854079 | − | 0.520143i | \(-0.825879\pi\) |
0.980471 | − | 0.196662i | \(-0.0630103\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.764322 | − | 4.33469i | −0.0894571 | − | 0.507337i | −0.996306 | − | 0.0858796i | \(-0.972630\pi\) |
0.906848 | − | 0.421457i | \(-0.138481\pi\) | |||||||
\(74\) | −0.776385 | − | 0.0907464i | −0.0902530 | − | 0.0105491i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.25606 | + | 4.51116i | −0.488204 | + | 0.517466i | ||||
\(77\) | 7.60998 | − | 17.6419i | 0.867237 | − | 2.01048i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.39300 | + | 6.17788i | −1.05680 | + | 0.695065i | −0.954052 | − | 0.299643i | \(-0.903133\pi\) |
−0.102744 | + | 0.994708i | \(0.532762\pi\) | |||||||
\(80\) | 1.04864 | 0.117242 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.533651 | 0.0589319 | ||||||||
\(83\) | 1.35486 | − | 0.891108i | 0.148716 | − | 0.0978119i | −0.472971 | − | 0.881078i | \(-0.656818\pi\) |
0.621686 | + | 0.783266i | \(0.286448\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.68737 | + | 6.23002i | −0.291486 | + | 0.675741i | ||||
\(86\) | −4.50147 | + | 4.77127i | −0.485406 | + | 0.514500i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −13.2977 | − | 1.55428i | −1.41754 | − | 0.165687i | ||||
\(89\) | 0.181087 | + | 1.02699i | 0.0191952 | + | 0.108861i | 0.992900 | − | 0.118952i | \(-0.0379535\pi\) |
−0.973705 | + | 0.227813i | \(0.926842\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.96526 | − | 16.8168i | 0.310844 | − | 1.76288i | ||||
\(92\) | 1.37652 | − | 4.59790i | 0.143512 | − | 0.479364i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.360580 | − | 6.19091i | 0.0371909 | − | 0.638544i | ||||
\(95\) | −5.90752 | + | 2.96687i | −0.606099 | + | 0.304394i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.42307 | − | 3.62824i | −0.347560 | − | 0.368392i | 0.529885 | − | 0.848070i | \(-0.322235\pi\) |
−0.877445 | + | 0.479677i | \(0.840754\pi\) | |||||||
\(98\) | −5.47110 | + | 1.99132i | −0.552664 | + | 0.201153i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.66486 | − | 1.33390i | −0.366486 | − | 0.133390i | ||||
\(101\) | 3.79067 | + | 8.78777i | 0.377186 | + | 0.874416i | 0.996040 | + | 0.0889095i | \(0.0283382\pi\) |
−0.618854 | + | 0.785506i | \(0.712403\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.933584 | − | 3.11839i | −0.0919888 | − | 0.307264i | 0.899596 | − | 0.436723i | \(-0.143861\pi\) |
−0.991585 | + | 0.129459i | \(0.958676\pi\) | |||||||
\(104\) | −11.8187 | + | 1.38140i | −1.15892 | + | 0.135458i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.188560 | + | 3.23746i | 0.0183146 | + | 0.314450i | ||||
\(107\) | 8.40680 | + | 14.5610i | 0.812716 | + | 1.40767i | 0.910956 | + | 0.412503i | \(0.135345\pi\) |
−0.0982402 | + | 0.995163i | \(0.531321\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.81772 | + | 6.61249i | −0.365671 | + | 0.633361i | −0.988884 | − | 0.148691i | \(-0.952494\pi\) |
0.623212 | + | 0.782053i | \(0.285827\pi\) | |||||||
\(110\) | −5.22712 | − | 2.62516i | −0.498386 | − | 0.250299i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.60757 | − | 2.15934i | −0.151901 | − | 0.204039i | ||||
\(113\) | 9.74930 | + | 2.31063i | 0.917137 | + | 0.217365i | 0.661969 | − | 0.749531i | \(-0.269721\pi\) |
0.255168 | + | 0.966897i | \(0.417869\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.05495 | − | 4.10351i | 0.284875 | − | 0.382654i | ||||
\(116\) | 0.694842 | − | 0.583042i | 0.0645144 | − | 0.0541340i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.15514 | − | 2.64747i | −0.290454 | − | 0.243720i | ||||
\(119\) | 16.9485 | − | 4.01686i | 1.55366 | − | 0.368225i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −12.1541 | − | 7.99389i | −1.10492 | − | 0.726717i | ||||
\(122\) | 4.43432 | + | 2.91650i | 0.401465 | + | 0.264048i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.889647 | + | 0.210850i | −0.0798927 | + | 0.0189349i | ||||
\(125\) | −8.85601 | − | 7.43107i | −0.792105 | − | 0.664655i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.97665 | − | 2.49770i | 0.264135 | − | 0.221635i | −0.501096 | − | 0.865392i | \(-0.667070\pi\) |
0.765230 | + | 0.643757i | \(0.222625\pi\) | |||||||
\(128\) | −5.51490 | + | 7.40779i | −0.487453 | + | 0.654763i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.05857 | − | 1.19890i | −0.443666 | − | 0.105151i | ||||
\(131\) | 9.94222 | + | 13.3547i | 0.868656 | + | 1.16681i | 0.984820 | + | 0.173577i | \(0.0555325\pi\) |
−0.116165 | + | 0.993230i | \(0.537060\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 15.1656 | + | 7.61643i | 1.31502 | + | 0.660428i | ||||
\(134\) | −2.07157 | + | 3.58807i | −0.178956 | + | 0.309962i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.06863 | − | 10.5112i | −0.520380 | − | 0.901325i | ||||
\(137\) | 0.539345 | + | 9.26019i | 0.0460793 | + | 0.791152i | 0.939631 | + | 0.342190i | \(0.111169\pi\) |
−0.893551 | + | 0.448961i | \(0.851794\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −15.8135 | + | 1.84833i | −1.34128 | + | 0.156774i | −0.756275 | − | 0.654253i | \(-0.772983\pi\) |
−0.585009 | + | 0.811027i | \(0.698909\pi\) | |||||||
\(140\) | −2.24257 | − | 7.49071i | −0.189532 | − | 0.633080i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.89853 | + | 4.40128i | 0.159321 | + | 0.369348i | ||||
\(143\) | −21.3365 | − | 7.76585i | −1.78425 | − | 0.649413i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.908517 | − | 0.330673i | 0.0754483 | − | 0.0274609i | ||||
\(146\) | 2.36069 | + | 2.50218i | 0.195372 | + | 0.207082i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.24161 | + | 0.623562i | −0.102060 | + | 0.0512565i | ||||
\(149\) | 1.35720 | − | 23.3023i | 0.111186 | − | 1.90900i | −0.236899 | − | 0.971534i | \(-0.576131\pi\) |
0.348085 | − | 0.937463i | \(-0.386832\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.668852 | − | 2.23412i | 0.0544304 | − | 0.181810i | −0.926452 | − | 0.376414i | \(-0.877157\pi\) |
0.980882 | + | 0.194604i | \(0.0623422\pi\) | |||||||
\(152\) | 2.05349 | − | 11.6459i | 0.166560 | − | 0.944608i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.60751 | + | 14.7879i | 0.210119 | + | 1.19165i | ||||
\(155\) | −0.967952 | − | 0.113137i | −0.0777478 | − | 0.00908741i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 13.5075 | − | 14.3171i | 1.07801 | − | 1.14263i | 0.0888142 | − | 0.996048i | \(-0.471692\pi\) |
0.989199 | − | 0.146579i | \(-0.0468263\pi\) | |||||||
\(158\) | 3.48019 | − | 8.06798i | 0.276869 | − | 0.641854i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.23857 | + | 4.76088i | −0.572259 | + | 0.376381i | ||||
\(161\) | −13.1331 | −1.03503 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.6622 | −1.38341 | −0.691707 | − | 0.722179i | \(-0.743141\pi\) | ||||
−0.691707 | + | 0.722179i | \(0.743141\pi\) | |||||||
\(164\) | 0.792504 | − | 0.521238i | 0.0618842 | − | 0.0407018i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.501989 | + | 1.16374i | −0.0389619 | + | 0.0903238i | ||||
\(167\) | 2.32646 | − | 2.46590i | 0.180027 | − | 0.190817i | −0.631076 | − | 0.775721i | \(-0.717386\pi\) |
0.811102 | + | 0.584904i | \(0.198868\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.13182 | − | 0.833590i | −0.548601 | − | 0.0641223i | ||||
\(170\) | −0.920811 | − | 5.22218i | −0.0706230 | − | 0.400523i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.02465 | + | 11.4824i | −0.154378 | + | 0.875524i | ||||
\(173\) | −5.35719 | + | 17.8943i | −0.407300 | + | 1.36048i | 0.470901 | + | 0.882186i | \(0.343929\pi\) |
−0.878201 | + | 0.478291i | \(0.841256\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.620513 | + | 10.6538i | −0.0469064 | + | 0.805351i | ||||
\(176\) | −3.19878 | + | 1.60649i | −0.241117 | + | 0.121094i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.559306 | − | 0.592829i | −0.0419217 | − | 0.0444344i | ||||
\(179\) | 11.1678 | − | 4.06476i | 0.834723 | − | 0.303814i | 0.110927 | − | 0.993829i | \(-0.464618\pi\) |
0.723796 | + | 0.690014i | \(0.242396\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.8329 | + | 5.39873i | 1.10252 | + | 0.401284i | 0.828244 | − | 0.560367i | \(-0.189340\pi\) |
0.274275 | + | 0.961651i | \(0.411562\pi\) | |||||||
\(182\) | 5.28604 | + | 12.2544i | 0.391828 | + | 0.908358i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.62467 | + | 8.76699i | 0.193493 | + | 0.646311i | ||||
\(185\) | −1.47095 | + | 0.171929i | −0.108146 | + | 0.0126405i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.34665 | − | 23.1210i | −0.0984765 | − | 1.69078i | ||||
\(188\) | −5.51142 | − | 9.54607i | −0.401962 | − | 0.696219i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.58328 | − | 4.47437i | 0.187411 | − | 0.324605i | ||||
\(191\) | −5.15323 | − | 2.58805i | −0.372875 | − | 0.187265i | 0.252486 | − | 0.967601i | \(-0.418752\pi\) |
−0.625361 | + | 0.780336i | \(0.715048\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.104955 | + | 0.140979i | 0.00755483 | + | 0.0101479i | 0.805885 | − | 0.592073i | \(-0.201690\pi\) |
−0.798330 | + | 0.602221i | \(0.794283\pi\) | |||||||
\(194\) | 3.79339 | + | 0.899050i | 0.272349 | + | 0.0645480i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.17991 | + | 8.30106i | −0.441422 | + | 0.592933i | ||||
\(197\) | −8.59155 | + | 7.20917i | −0.612123 | + | 0.513632i | −0.895316 | − | 0.445431i | \(-0.853050\pi\) |
0.283194 | + | 0.959063i | \(0.408606\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −15.6873 | − | 13.1632i | −1.11204 | − | 0.933114i | −0.113866 | − | 0.993496i | \(-0.536324\pi\) |
−0.998175 | + | 0.0603824i | \(0.980768\pi\) | |||||||
\(200\) | 7.23595 | − | 1.71495i | 0.511659 | − | 0.121265i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.24927 | − | 4.11021i | −0.439697 | − | 0.289193i | ||||
\(203\) | −2.07367 | − | 1.36388i | −0.145543 | − | 0.0957254i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.983806 | − | 0.233166i | 0.0687120 | − | 0.0162850i | ||||
\(206\) | 1.94885 | + | 1.63528i | 0.135783 | + | 0.113935i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.43709 | + | 2.04496i | −0.168982 | + | 0.141792i | ||||
\(209\) | 13.4752 | − | 18.1003i | 0.932096 | − | 1.25202i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.15927 | + | 0.274753i | 0.0798076 | + | 0.0189147i | 0.270326 | − | 0.962769i | \(-0.412869\pi\) |
−0.190518 | + | 0.981684i | \(0.561017\pi\) | |||||||
\(212\) | 3.44217 | + | 4.62364i | 0.236409 | + | 0.317553i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −11.7429 | − | 5.89751i | −0.802728 | − | 0.403145i | ||||
\(215\) | −6.21393 | + | 10.7628i | −0.423786 | + | 0.734019i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.25090 | + | 2.16663i | 0.0849168 | + | 0.147080i | ||||
\(218\) | −0.346977 | − | 5.95737i | −0.0235003 | − | 0.403484i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −10.3267 | + | 1.20702i | −0.696224 | + | 0.0813769i | ||||
\(221\) | −5.90362 | − | 19.7195i | −0.397120 | − | 1.32647i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.90154 | − | 13.6813i | −0.395197 | − | 0.916169i | −0.993387 | − | 0.114815i | \(-0.963373\pi\) |
0.598190 | − | 0.801354i | \(-0.295887\pi\) | |||||||
\(224\) | 20.9003 | + | 7.60707i | 1.39646 | + | 0.508269i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.35838 | + | 2.67823i | −0.489472 | + | 0.178153i | ||||
\(227\) | −16.8807 | − | 17.8925i | −1.12041 | − | 1.18757i | −0.980317 | − | 0.197430i | \(-0.936741\pi\) |
−0.140095 | − | 0.990138i | \(-0.544741\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.36456 | − | 0.685307i | 0.0901726 | − | 0.0452864i | −0.403141 | − | 0.915138i | \(-0.632082\pi\) |
0.493314 | + | 0.869851i | \(0.335785\pi\) | |||||||
\(230\) | −0.232477 | + | 3.99148i | −0.0153291 | + | 0.263191i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.496029 | + | 1.65685i | −0.0325659 | + | 0.108778i | ||||
\(233\) | −2.44148 | + | 13.8463i | −0.159946 | + | 0.907101i | 0.794177 | + | 0.607687i | \(0.207902\pi\) |
−0.954123 | + | 0.299414i | \(0.903209\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.04023 | − | 11.5707i | −0.133090 | − | 0.754791i | ||||
\(236\) | −7.27145 | − | 0.849911i | −0.473331 | − | 0.0553245i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −9.34179 | + | 9.90172i | −0.605539 | + | 0.641833i | ||||
\(239\) | 9.07711 | − | 21.0431i | 0.587149 | − | 1.36116i | −0.322809 | − | 0.946464i | \(-0.604627\pi\) |
0.909958 | − | 0.414701i | \(-0.136114\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.90585 | − | 3.88434i | 0.380429 | − | 0.250212i | −0.344864 | − | 0.938653i | \(-0.612075\pi\) |
0.725293 | + | 0.688441i | \(0.241704\pi\) | |||||||
\(242\) | 11.3694 | 0.730855 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 9.43390 | 0.603943 | ||||||||
\(245\) | −9.21612 | + | 6.06153i | −0.588796 | + | 0.387257i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.94362 | − | 18.4154i | 0.505441 | − | 1.17174i | ||||
\(248\) | 1.19634 | − | 1.26804i | 0.0759674 | − | 0.0805207i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.97414 | + | 1.04893i | 0.567575 | + | 0.0663400i | ||||
\(251\) | −0.0115419 | − | 0.0654574i | −0.000728518 | − | 0.00413163i | 0.984441 | − | 0.175714i | \(-0.0562233\pi\) |
−0.985170 | + | 0.171582i | \(0.945112\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.03237 | + | 17.1974i | −0.190644 | + | 1.08119i | ||||
\(254\) | −0.870990 | + | 2.90931i | −0.0546508 | + | 0.182546i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.786748 | − | 13.5079i | 0.0491718 | − | 0.844246i | ||||
\(257\) | −17.2862 | + | 8.68143i | −1.07828 | + | 0.541533i | −0.897060 | − | 0.441909i | \(-0.854301\pi\) |
−0.181221 | + | 0.983442i | \(0.558005\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.60900 | + | 2.76537i | 0.162115 | + | 0.171832i | ||||
\(260\) | −8.68330 | + | 3.16046i | −0.538515 | + | 0.196003i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −12.2274 | − | 4.45042i | −0.755413 | − | 0.274948i | ||||
\(263\) | −5.96501 | − | 13.8284i | −0.367818 | − | 0.852698i | −0.997142 | − | 0.0755547i | \(-0.975927\pi\) |
0.629324 | − | 0.777143i | \(-0.283332\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.76215 | + | 5.88599i | 0.108248 | + | 0.361573i | ||||
\(266\) | −13.1737 | + | 1.53979i | −0.807732 | + | 0.0944104i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.428198 | + | 7.35188i | 0.0261564 | + | 0.449087i | ||||
\(269\) | −5.86823 | − | 10.1641i | −0.357792 | − | 0.619715i | 0.629799 | − | 0.776758i | \(-0.283137\pi\) |
−0.987592 | + | 0.157043i | \(0.949804\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.44013 | − | 2.49438i | 0.0874817 | − | 0.151523i | −0.818964 | − | 0.573844i | \(-0.805451\pi\) |
0.906446 | + | 0.422322i | \(0.138785\pi\) | |||||||
\(272\) | −2.89989 | − | 1.45638i | −0.175832 | − | 0.0883060i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.32913 | − | 5.81503i | −0.261532 | − | 0.351299i | ||||
\(275\) | 13.8076 | + | 3.27246i | 0.832628 | + | 0.197337i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.37408 | + | 1.84571i | −0.0825603 | + | 0.110898i | −0.841485 | − | 0.540281i | \(-0.818318\pi\) |
0.758924 | + | 0.651179i | \(0.225725\pi\) | |||||||
\(278\) | 9.53200 | − | 7.99830i | 0.571692 | − | 0.479706i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 11.4211 | + | 9.58343i | 0.682540 | + | 0.572719i | ||||
\(281\) | −6.17447 | + | 1.46338i | −0.368338 | + | 0.0872977i | −0.410616 | − | 0.911808i | \(-0.634686\pi\) |
0.0422786 | + | 0.999106i | \(0.486538\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.2665 | + | 8.06777i | 0.729165 | + | 0.479579i | 0.859012 | − | 0.511955i | \(-0.171078\pi\) |
−0.129848 | + | 0.991534i | \(0.541449\pi\) | |||||||
\(284\) | 7.11834 | + | 4.68180i | 0.422396 | + | 0.277814i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 17.2674 | − | 4.09244i | 1.02104 | − | 0.241991i | ||||
\(287\) | −1.98831 | − | 1.66839i | −0.117366 | − | 0.0984819i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.06122 | − | 2.56867i | 0.180072 | − | 0.151098i | ||||
\(290\) | −0.451224 | + | 0.606100i | −0.0264968 | + | 0.0355914i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.94975 | + | 1.41012i | 0.348183 | + | 0.0825208i | ||||
\(293\) | 15.1411 | + | 20.3380i | 0.884553 | + | 1.18816i | 0.981229 | + | 0.192845i | \(0.0617714\pi\) |
−0.0966764 | + | 0.995316i | \(0.530821\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.97336 | − | 3.50215i | −0.406005 | − | 0.203903i | ||||
\(296\) | 1.32461 | − | 2.29430i | 0.0769916 | − | 0.133353i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.12136 | + | 15.7987i | 0.528386 | + | 0.915191i | ||||
\(299\) | 0.902433 | + | 15.4942i | 0.0521891 | + | 0.896051i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 31.6886 | − | 3.70386i | 1.82650 | − | 0.213487i | ||||
\(302\) | 0.522740 | + | 1.74607i | 0.0300803 | + | 0.100475i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.25230 | − | 2.90315i | −0.0718241 | − | 0.166507i | ||||
\(305\) | 9.44914 | + | 3.43921i | 0.541056 | + | 0.196928i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.4486 | − | 4.16694i | 0.653405 | − | 0.237820i | 0.00601852 | − | 0.999982i | \(-0.498084\pi\) |
0.647386 | + | 0.762162i | \(0.275862\pi\) | |||||||
\(308\) | 18.3163 | + | 19.4141i | 1.04367 | + | 1.10622i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.680636 | − | 0.341828i | 0.0386575 | − | 0.0194145i | ||||
\(311\) | −1.46151 | + | 25.0931i | −0.0828745 | + | 1.42290i | 0.658890 | + | 0.752239i | \(0.271026\pi\) |
−0.741764 | + | 0.670661i | \(0.766011\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.47873 | + | 28.3209i | −0.479246 | + | 1.60079i | 0.286787 | + | 0.957994i | \(0.407413\pi\) |
−0.766034 | + | 0.642800i | \(0.777773\pi\) | |||||||
\(314\) | −2.67130 | + | 15.1497i | −0.150750 | + | 0.854947i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.71203 | − | 15.3807i | −0.152563 | − | 0.865230i | ||||
\(317\) | 4.25913 | + | 0.497821i | 0.239217 | + | 0.0279604i | 0.234856 | − | 0.972030i | \(-0.424538\pi\) |
0.00436034 | + | 0.999990i | \(0.498612\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.26476 | + | 2.40051i | −0.126802 | + | 0.134403i | ||||
\(320\) | 1.85126 | − | 4.29170i | 0.103489 | − | 0.239913i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 8.57557 | − | 5.64024i | 0.477898 | − | 0.314318i | ||||
\(323\) | 20.4570 | 1.13826 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.6118 | 0.699576 | ||||||||
\(326\) | 11.5330 | − | 7.58536i | 0.638752 | − | 0.420114i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.716366 | + | 1.66072i | −0.0395547 | + | 0.0916981i | ||||
\(329\) | −20.6985 | + | 21.9392i | −1.14115 | + | 1.20954i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 27.6432 | + | 3.23102i | 1.51941 | + | 0.177593i | 0.834487 | − | 0.551027i | \(-0.185764\pi\) |
0.684918 | + | 0.728620i | \(0.259838\pi\) | |||||||
\(332\) | 0.391188 | + | 2.21854i | 0.0214692 | + | 0.121758i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.460091 | + | 2.60930i | −0.0251750 | + | 0.142775i | ||||
\(335\) | −2.25130 | + | 7.51986i | −0.123002 | + | 0.410854i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.56420 | + | 26.8562i | −0.0852071 | + | 1.46295i | 0.636781 | + | 0.771045i | \(0.280266\pi\) |
−0.721988 | + | 0.691905i | \(0.756772\pi\) | |||||||
\(338\) | 5.01489 | − | 2.51857i | 0.272774 | − | 0.136992i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.46816 | − | 6.85585i | −0.350785 | − | 0.371811i | ||||
\(341\) | 3.12596 | − | 1.13776i | 0.169280 | − | 0.0616130i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.60598 | + | 0.584529i | 0.0867148 | + | 0.0315616i | ||||
\(344\) | −8.80551 | − | 20.4135i | −0.474761 | − | 1.10062i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.18690 | − | 13.9852i | −0.225089 | − | 0.751851i | ||||
\(347\) | −30.2925 | + | 3.54069i | −1.62619 | + | 0.190074i | −0.879769 | − | 0.475402i | \(-0.842303\pi\) |
−0.746419 | + | 0.665476i | \(0.768229\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.463724 | + | 7.96184i | 0.0248226 | + | 0.426187i | 0.987711 | + | 0.156289i | \(0.0499531\pi\) |
−0.962889 | + | 0.269898i | \(0.913010\pi\) | |||||||
\(350\) | −4.17028 | − | 7.22314i | −0.222911 | − | 0.386093i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 14.7870 | − | 25.6119i | 0.788151 | − | 1.36512i | ||||
\(353\) | 19.5082 | + | 9.79737i | 1.03831 | + | 0.521461i | 0.884452 | − | 0.466631i | \(-0.154532\pi\) |
0.153863 | + | 0.988092i | \(0.450829\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.42305 | + | 7.28442i | 0.287826 | + | 0.386617i | ||||
\(356\) | −1.40964 | − | 0.334091i | −0.0747109 | − | 0.0177068i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.54662 | + | 7.45040i | −0.293148 | + | 0.393766i | ||||
\(359\) | 13.2606 | − | 11.1269i | 0.699866 | − | 0.587258i | −0.221869 | − | 0.975076i | \(-0.571216\pi\) |
0.921736 | + | 0.387819i | \(0.126771\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.713665 | + | 0.598836i | 0.0375613 | + | 0.0315177i | ||||
\(362\) | −12.0041 | + | 2.84502i | −0.630920 | + | 0.149531i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 19.8195 | + | 13.0355i | 1.03882 | + | 0.683244i | ||||
\(365\) | 5.44529 | + | 3.58142i | 0.285020 | + | 0.187460i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −23.2623 | + | 5.51327i | −1.21428 | + | 0.287790i | −0.787358 | − | 0.616496i | \(-0.788552\pi\) |
−0.426926 | + | 0.904287i | \(0.640403\pi\) | |||||||
\(368\) | 1.87433 | + | 1.57275i | 0.0977062 | + | 0.0819853i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.886651 | − | 0.743989i | 0.0460948 | − | 0.0386781i | ||||
\(371\) | 9.41892 | − | 12.6518i | 0.489006 | − | 0.656849i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.2201 | − | 2.65920i | −0.580952 | − | 0.137688i | −0.0703757 | − | 0.997521i | \(-0.522420\pi\) |
−0.510576 | + | 0.859832i | \(0.670568\pi\) | |||||||
\(374\) | 10.8091 | + | 14.5191i | 0.558923 | + | 0.750764i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 18.7821 | + | 9.43272i | 0.968613 | + | 0.486456i | ||||
\(377\) | −1.46658 | + | 2.54020i | −0.0755329 | + | 0.130827i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.3656 | − | 17.9537i | −0.532443 | − | 0.922218i | −0.999282 | − | 0.0378763i | \(-0.987941\pi\) |
0.466839 | − | 0.884342i | \(-0.345393\pi\) | |||||||
\(380\) | −0.533970 | − | 9.16791i | −0.0273921 | − | 0.470304i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.47641 | − | 0.523217i | 0.229033 | − | 0.0267701i | ||||
\(383\) | −4.54732 | − | 15.1891i | −0.232357 | − | 0.776126i | −0.992050 | − | 0.125845i | \(-0.959836\pi\) |
0.759693 | − | 0.650282i | \(-0.225349\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 11.2683 | + | 26.1228i | 0.574285 | + | 1.33134i | ||||
\(386\) | −0.129079 | − | 0.0469808i | −0.00656994 | − | 0.00239126i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.51155 | − | 2.37001i | 0.330574 | − | 0.120319i | ||||
\(389\) | −19.5641 | − | 20.7367i | −0.991938 | − | 1.05139i | −0.998677 | − | 0.0514160i | \(-0.983627\pi\) |
0.00673888 | − | 0.999977i | \(-0.497855\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −14.1471 | + | 7.10495i | −0.715451 | + | 0.359313i | ||||
\(392\) | 1.14735 | − | 19.6992i | 0.0579498 | − | 0.994959i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.51395 | − | 8.39719i | 0.126651 | − | 0.423044i | ||||
\(395\) | 2.89074 | − | 16.3942i | 0.145449 | − | 0.824882i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.49087 | + | 31.1403i | 0.275579 | + | 1.56289i | 0.737117 | + | 0.675765i | \(0.236187\pi\) |
−0.461538 | + | 0.887120i | \(0.652702\pi\) | |||||||
\(398\) | 15.8965 | + | 1.85804i | 0.796822 | + | 0.0931351i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.36440 | − | 1.44618i | 0.0682200 | − | 0.0723090i | ||||
\(401\) | −6.75227 | + | 15.6535i | −0.337192 | + | 0.781700i | 0.662281 | + | 0.749255i | \(0.269588\pi\) |
−0.999474 | + | 0.0324445i | \(0.989671\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.47019 | − | 1.62467i | 0.123049 | − | 0.0809305i | ||||
\(404\) | −13.2952 | −0.661458 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.93980 | 0.0962705 | ||||||||
\(407\) | 4.22358 | − | 2.77790i | 0.209355 | − | 0.137695i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.44133 | + | 21.8875i | −0.466844 | + | 1.08227i | 0.508397 | + | 0.861123i | \(0.330238\pi\) |
−0.975241 | + | 0.221143i | \(0.929021\pi\) | |||||||
\(410\) | −0.542262 | + | 0.574764i | −0.0267804 | + | 0.0283856i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.49141 | + | 0.524970i | 0.221276 | + | 0.0258634i | ||||
\(413\) | 3.47862 | + | 19.7282i | 0.171172 | + | 0.970762i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.416966 | + | 2.36473i | −0.0204681 | + | 0.116080i | ||||
\(416\) | 7.53853 | − | 25.1804i | 0.369607 | − | 1.23457i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.02544 | + | 17.6061i | −0.0501560 | + | 0.861145i | ||||
\(419\) | 14.0624 | − | 7.06241i | 0.686993 | − | 0.345021i | −0.0708230 | − | 0.997489i | \(-0.522563\pi\) |
0.757816 | + | 0.652468i | \(0.226266\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.1664 | + | 17.1354i | 0.787901 | + | 0.835126i | 0.989529 | − | 0.144336i | \(-0.0461046\pi\) |
−0.201628 | + | 0.979462i | \(0.564623\pi\) | |||||||
\(422\) | −0.874971 | + | 0.318464i | −0.0425929 | + | 0.0155026i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −10.3281 | − | 3.75912i | −0.501577 | − | 0.182559i | ||||
\(425\) | 5.09524 | + | 11.8121i | 0.247155 | + | 0.572970i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.40361 | − | 24.7298i | −0.358286 | − | 1.19676i | ||||
\(428\) | −23.1992 | + | 2.71160i | −1.12138 | + | 0.131070i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.564759 | − | 9.69653i | −0.0272351 | − | 0.467608i | ||||
\(431\) | −0.705848 | − | 1.22256i | −0.0339995 | − | 0.0588888i | 0.848525 | − | 0.529155i | \(-0.177491\pi\) |
−0.882524 | + | 0.470267i | \(0.844158\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.50524 | + | 11.2674i | −0.312622 | + | 0.541477i | −0.978929 | − | 0.204200i | \(-0.934541\pi\) |
0.666307 | + | 0.745677i | \(0.267874\pi\) | |||||||
\(434\) | −1.74730 | − | 0.877528i | −0.0838732 | − | 0.0421227i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.33408 | − | 8.50814i | −0.303347 | − | 0.407466i | ||||
\(437\) | −15.0087 | − | 3.55713i | −0.717964 | − | 0.170161i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.3841 | − | 16.6347i | 0.591061 | − | 0.793933i | −0.401477 | − | 0.915869i | \(-0.631503\pi\) |
0.992538 | + | 0.121936i | \(0.0389103\pi\) | |||||||
\(440\) | 15.1863 | − | 12.7428i | 0.723979 | − | 0.607490i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 12.3238 | + | 10.3409i | 0.586182 | + | 0.491865i | ||||
\(443\) | −33.0519 | + | 7.83344i | −1.57034 | + | 0.372178i | −0.921386 | − | 0.388649i | \(-0.872942\pi\) |
−0.648955 | + | 0.760826i | \(0.724794\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.29012 | − | 0.848528i | −0.0611578 | − | 0.0402241i | ||||
\(446\) | 9.72924 | + | 6.39902i | 0.460693 | + | 0.303002i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −11.6754 | + | 2.76711i | −0.551609 | + | 0.130734i | ||||
\(449\) | −0.919709 | − | 0.771727i | −0.0434038 | − | 0.0364201i | 0.620828 | − | 0.783947i | \(-0.286797\pi\) |
−0.664231 | + | 0.747527i | \(0.731241\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.64380 | + | 2.21841i | −0.124492 | + | 0.104461i | ||||
\(452\) | −8.31170 | + | 11.1645i | −0.390949 | + | 0.525136i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 18.7069 | + | 4.43362i | 0.877959 | + | 0.208080i | ||||
\(455\) | 15.0993 | + | 20.2819i | 0.707866 | + | 0.950830i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −28.6438 | − | 14.3855i | −1.33990 | − | 0.672923i | −0.372941 | − | 0.927855i | \(-0.621651\pi\) |
−0.966959 | + | 0.254932i | \(0.917947\pi\) | |||||||
\(458\) | −0.596704 | + | 1.03352i | −0.0278821 | + | 0.0482933i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.55340 | + | 6.15466i | 0.165678 | + | 0.286963i | ||||
\(461\) | 0.0195765 | + | 0.336115i | 0.000911768 | + | 0.0156545i | 0.998733 | − | 0.0503158i | \(-0.0160228\pi\) |
−0.997822 | + | 0.0659703i | \(0.978986\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.93276 | − | 0.342791i | 0.136297 | − | 0.0159308i | −0.0476708 | − | 0.998863i | \(-0.515180\pi\) |
0.183968 | + | 0.982932i | \(0.441106\pi\) | |||||||
\(464\) | 0.132620 | + | 0.442982i | 0.00615673 | + | 0.0205649i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.35232 | − | 10.0898i | −0.201617 | − | 0.467401i | ||||
\(467\) | 3.55605 | + | 1.29430i | 0.164554 | + | 0.0598929i | 0.422984 | − | 0.906137i | \(-0.360983\pi\) |
−0.258429 | + | 0.966030i | \(0.583205\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 18.9360 | − | 6.89213i | 0.874382 | − | 0.318249i | ||||
\(470\) | 6.30147 | + | 6.67917i | 0.290665 | + | 0.308087i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 12.4744 | − | 6.26486i | 0.574179 | − | 0.288363i | ||||
\(473\) | 2.46664 | − | 42.3505i | 0.113416 | − | 1.94728i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.59474 | + | 12.0073i | −0.164938 | + | 0.550931i | ||||
\(476\) | −4.20172 | + | 23.8292i | −0.192586 | + | 1.09221i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.11022 | + | 17.6389i | 0.142258 | + | 0.806785i | ||||
\(479\) | −3.14535 | − | 0.367638i | −0.143715 | − | 0.0167978i | 0.0439314 | − | 0.999035i | \(-0.486012\pi\) |
−0.187646 | + | 0.982237i | \(0.560086\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.08326 | − | 3.26806i | 0.140584 | − | 0.149011i | ||||
\(482\) | −2.18817 | + | 5.07274i | −0.0996683 | + | 0.231057i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.8843 | − | 11.1050i | 0.767468 | − | 0.504771i | ||||
\(485\) | 7.38607 | 0.335384 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.22501 | 0.0555106 | 0.0277553 | − | 0.999615i | \(-0.491164\pi\) | ||||
0.0277553 | + | 0.999615i | \(0.491164\pi\) | |||||||
\(488\) | −15.0287 | + | 9.88456i | −0.680319 | + | 0.447453i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.41465 | − | 7.91605i | 0.154258 | − | 0.357610i | ||||
\(491\) | −27.8255 | + | 29.4933i | −1.25575 | + | 1.33101i | −0.334323 | + | 0.942459i | \(0.608507\pi\) |
−0.921425 | + | 0.388556i | \(0.872974\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.97164 | − | 0.347335i | −0.133836 | − | 0.0156432i | ||||
\(494\) | 2.72183 | + | 15.4363i | 0.122461 | + | 0.694512i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.0809373 | − | 0.459018i | 0.00363419 | − | 0.0206105i | ||||
\(497\) | 6.68638 | − | 22.3341i | 0.299925 | − | 1.00182i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.39276 | − | 41.0820i | 0.107114 | − | 1.83908i | −0.335109 | − | 0.942179i | \(-0.608773\pi\) |
0.442224 | − | 0.896905i | \(-0.354190\pi\) | |||||||
\(500\) | 14.3517 | − | 7.20768i | 0.641826 | − | 0.322337i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.0356484 | + | 0.0377851i | 0.00159106 | + | 0.00168643i | ||||
\(503\) | −9.54144 | + | 3.47280i | −0.425432 | + | 0.154845i | −0.545858 | − | 0.837878i | \(-0.683796\pi\) |
0.120426 | + | 0.992722i | \(0.461574\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.3166 | − | 4.84686i | −0.592582 | − | 0.215682i | ||||
\(506\) | −5.40568 | − | 12.5318i | −0.240312 | − | 0.557105i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.54816 | + | 5.17123i | 0.0686887 | + | 0.229436i | ||||
\(509\) | 24.0833 | − | 2.81493i | 1.06747 | − | 0.124770i | 0.435829 | − | 0.900029i | \(-0.356455\pi\) |
0.631642 | + | 0.775260i | \(0.282381\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.972849 | − | 16.7032i | −0.0430363 | − | 0.738904i | ||||
\(512\) | −3.94773 | − | 6.83768i | −0.174467 | − | 0.302186i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.55901 | − | 13.0926i | 0.333414 | − | 0.577490i | ||||
\(515\) | 4.30728 | + | 2.16320i | 0.189802 | + | 0.0953219i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 23.9495 | + | 32.1698i | 1.05330 | + | 1.41483i | ||||
\(518\) | −2.89124 | − | 0.685237i | −0.127034 | − | 0.0301076i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 10.5215 | − | 14.1329i | 0.461400 | − | 0.619768i | ||||
\(521\) | 4.86477 | − | 4.08202i | 0.213129 | − | 0.178837i | −0.529973 | − | 0.848014i | \(-0.677798\pi\) |
0.743102 | + | 0.669178i | \(0.233354\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 21.5335 | + | 18.0688i | 0.941595 | + | 0.790092i | 0.977862 | − | 0.209250i | \(-0.0671024\pi\) |
−0.0362674 | + | 0.999342i | \(0.511547\pi\) | |||||||
\(524\) | −22.5054 | + | 5.33387i | −0.983151 | + | 0.233011i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.83386 | + | 6.46783i | 0.428777 | + | 0.282011i | ||||
\(527\) | 2.51962 | + | 1.65718i | 0.109756 | + | 0.0721879i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10.7652 | + | 2.55141i | −0.468054 | + | 0.110931i | ||||
\(530\) | −3.67848 | − | 3.08661i | −0.159783 | − | 0.134074i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −18.0598 | + | 15.1540i | −0.782991 | + | 0.657008i | ||||
\(533\) | −1.83171 | + | 2.46041i | −0.0793400 | + | 0.106572i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −24.2253 | − | 5.74149i | −1.04735 | − | 0.248226i | ||||
\(536\) | −8.38522 | − | 11.2633i | −0.362186 | − | 0.486501i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 8.19694 | + | 4.11666i | 0.353395 | + | 0.177482i | ||||
\(539\) | 18.8268 | − | 32.6089i | 0.810926 | − | 1.40457i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.34390 | − | 2.32771i | −0.0577788 | − | 0.100076i | 0.835689 | − | 0.549203i | \(-0.185068\pi\) |
−0.893468 | + | 0.449127i | \(0.851735\pi\) | |||||||
\(542\) | 0.130888 | + | 2.24725i | 0.00562211 | + | 0.0965279i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 26.6294 | − | 3.11253i | 1.14173 | − | 0.133449i | ||||
\(545\) | −3.24260 | − | 10.8310i | −0.138898 | − | 0.463950i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.9944 | + | 30.1244i | 0.555600 | + | 1.28802i | 0.932299 | + | 0.361689i | \(0.117800\pi\) |
−0.376699 | + | 0.926336i | \(0.622941\pi\) | |||||||
\(548\) | −12.1088 | − | 4.40724i | −0.517262 | − | 0.188268i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −10.4214 | + | 3.79308i | −0.444370 | + | 0.161737i | ||||
\(551\) | −2.00042 | − | 2.12032i | −0.0852207 | − | 0.0903287i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −38.1901 | + | 19.1798i | −1.62401 | + | 0.815608i | ||||
\(554\) | 0.104565 | − | 1.79532i | 0.00444256 | − | 0.0762758i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.34334 | − | 21.1882i | 0.269018 | − | 0.898581i | ||||
\(557\) | −1.71906 | + | 9.74928i | −0.0728390 | + | 0.413090i | 0.926485 | + | 0.376331i | \(0.122815\pi\) |
−0.999324 | + | 0.0367591i | \(0.988297\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −6.54721 | − | 37.1311i | −0.276917 | − | 1.57048i | ||||
\(560\) | 3.95921 | + | 0.462766i | 0.167307 | + | 0.0195554i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.40329 | − | 3.60728i | 0.143559 | − | 0.152164i | ||||
\(563\) | 2.78662 | − | 6.46011i | 0.117442 | − | 0.272261i | −0.849348 | − | 0.527833i | \(-0.823005\pi\) |
0.966790 | + | 0.255572i | \(0.0822638\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −12.3953 | + | 8.15249i | −0.521472 | + | 0.342978i | ||||
\(566\) | −11.4745 | −0.482310 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −16.2454 | −0.681640 | ||||||||
\(569\) | 3.29025 | − | 2.16403i | 0.137935 | − | 0.0907209i | −0.478666 | − | 0.877997i | \(-0.658880\pi\) |
0.616601 | + | 0.787276i | \(0.288509\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.1268 | − | 23.4765i | 0.423791 | − | 0.982459i | −0.563871 | − | 0.825863i | \(-0.690689\pi\) |
0.987663 | − | 0.156596i | \(-0.0500521\pi\) | |||||||
\(572\) | 21.6458 | − | 22.9432i | 0.905057 | − | 0.959304i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.01483 | + | 0.235500i | 0.0840975 | + | 0.00982958i | ||||
\(575\) | −1.68431 | − | 9.55219i | −0.0702405 | − | 0.398354i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.816045 | − | 4.62802i | 0.0339724 | − | 0.192667i | −0.963099 | − | 0.269149i | \(-0.913258\pi\) |
0.997071 | + | 0.0764818i | \(0.0243687\pi\) | |||||||
\(578\) | −0.895737 | + | 2.99197i | −0.0372577 | + | 0.124450i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.0780940 | + | 1.34082i | −0.00324268 | + | 0.0556746i | ||||
\(581\) | 5.50862 | − | 2.76653i | 0.228536 | − | 0.114775i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −14.3924 | − | 15.2551i | −0.596073 | − | 0.631800i | ||||
\(584\) | −10.9558 | + | 3.98757i | −0.453353 | + | 0.165007i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −18.6213 | − | 6.77759i | −0.769238 | − | 0.279980i | ||||
\(587\) | −11.0004 | − | 25.5017i | −0.454034 | − | 1.05257i | −0.979443 | − | 0.201719i | \(-0.935347\pi\) |
0.525410 | − | 0.850849i | \(-0.323912\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.842715 | + | 2.81486i | 0.0347235 | + | 0.115984i | ||||
\(590\) | 6.05748 | − | 0.708018i | 0.249383 | − | 0.0291487i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.0411844 | − | 0.707108i | −0.00169267 | − | 0.0290620i | ||||
\(593\) | −7.16631 | − | 12.4124i | −0.294285 | − | 0.509717i | 0.680533 | − | 0.732717i | \(-0.261748\pi\) |
−0.974818 | + | 0.223000i | \(0.928415\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.8956 | + | 22.3359i | −0.528669 | + | 0.915682i | ||||
\(596\) | 28.9769 | + | 14.5528i | 1.18694 | + | 0.596104i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −7.24351 | − | 9.72973i | −0.296209 | − | 0.397878i | ||||
\(599\) | −26.7617 | − | 6.34265i | −1.09346 | − | 0.259154i | −0.355957 | − | 0.934502i | \(-0.615845\pi\) |
−0.737499 | + | 0.675349i | \(0.763993\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.1968 | − | 15.0400i | 0.456729 | − | 0.613493i | −0.512789 | − | 0.858515i | \(-0.671388\pi\) |
0.969518 | + | 0.245022i | \(0.0787951\pi\) | |||||||
\(602\) | −19.1011 | + | 16.0277i | −0.778503 | + | 0.653242i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 2.48176 | + | 2.08244i | 0.100981 | + | 0.0847333i | ||||
\(605\) | 20.9600 | − | 4.96761i | 0.852144 | − | 0.201962i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.0641 | − | 14.5118i | −0.895556 | − | 0.589016i | 0.0161458 | − | 0.999870i | \(-0.494860\pi\) |
−0.911701 | + | 0.410853i | \(0.865231\pi\) | |||||||
\(608\) | 21.8248 | + | 14.3544i | 0.885111 | + | 0.582146i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7.64707 | + | 1.81239i | −0.309621 | + | 0.0733815i | ||||
\(611\) | 27.3057 | + | 22.9122i | 1.10467 | + | 0.926928i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −26.7821 | + | 22.4728i | −1.08172 | + | 0.907670i | −0.996062 | − | 0.0886553i | \(-0.971743\pi\) |
−0.0856560 | + | 0.996325i | \(0.527299\pi\) | |||||||
\(614\) | −5.68606 | + | 7.63770i | −0.229471 | + | 0.308232i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −49.5204 | − | 11.7365i | −1.99523 | − | 0.472879i | ||||
\(617\) | 4.27053 | + | 5.73631i | 0.171925 | + | 0.230935i | 0.879731 | − | 0.475471i | \(-0.157722\pi\) |
−0.707806 | + | 0.706407i | \(0.750315\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −16.8196 | − | 8.44712i | −0.676037 | − | 0.339518i | 0.0774361 | − | 0.996997i | \(-0.475327\pi\) |
−0.753473 | + | 0.657479i | \(0.771623\pi\) | |||||||
\(620\) | 0.676908 | − | 1.17244i | 0.0271853 | − | 0.0470863i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.82235 | − | 17.0128i | −0.393841 | − | 0.682152i | ||||
\(623\) | 0.230492 | + | 3.95739i | 0.00923446 | + | 0.158550i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.06015 | − | 0.357680i | 0.122406 | − | 0.0143072i | ||||
\(626\) | −6.62654 | − | 22.1342i | −0.264850 | − | 0.884660i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 10.8303 | + | 25.1074i | 0.432174 | + | 1.00189i | ||||
\(629\) | 4.30649 | + | 1.56744i | 0.171711 | + | 0.0624978i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −22.0642 | + | 8.03070i | −0.878361 | + | 0.319697i | −0.741548 | − | 0.670900i | \(-0.765908\pi\) |
−0.136813 | + | 0.990597i | \(0.543686\pi\) | |||||||
\(632\) | 20.4358 | + | 21.6607i | 0.812893 | + | 0.861616i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.99490 | + | 1.50410i | −0.118943 | + | 0.0597353i | ||||
\(635\) | −0.334549 | + | 5.74398i | −0.0132762 | + | 0.227943i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.59802 | − | 32.0596i | 0.380287 | − | 1.27025i | ||||
\(638\) | 0.447890 | − | 2.54011i | 0.0177321 | − | 0.100564i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.37461 | − | 13.4671i | −0.0938648 | − | 0.532334i | ||||
\(641\) | −4.32954 | − | 0.506050i | −0.171006 | − | 0.0199878i | 0.0301588 | − | 0.999545i | \(-0.490399\pi\) |
−0.201165 | + | 0.979557i | \(0.564473\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.0468 | + | 13.8288i | −0.514516 | + | 0.545355i | −0.931587 | − | 0.363519i | \(-0.881575\pi\) |
0.417071 | + | 0.908874i | \(0.363057\pi\) | |||||||
\(644\) | 7.22619 | − | 16.7522i | 0.284752 | − | 0.660129i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −13.3579 | + | 8.78560i | −0.525558 | + | 0.345665i | ||||
\(647\) | 20.6268 | 0.810924 | 0.405462 | − | 0.914112i | \(-0.367111\pi\) | ||||
0.405462 | + | 0.914112i | \(0.367111\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 26.6367 | 1.04558 | ||||||||
\(650\) | −8.23516 | + | 5.41635i | −0.323010 | + | 0.212447i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.71824 | − | 22.5294i | 0.380596 | − | 0.882320i | ||||
\(653\) | 4.11111 | − | 4.35752i | 0.160880 | − | 0.170523i | −0.641919 | − | 0.766772i | \(-0.721862\pi\) |
0.802799 | + | 0.596249i | \(0.203343\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −24.4862 | − | 2.86203i | −0.956756 | − | 0.111829i | ||||
\(656\) | 0.0839701 | + | 0.476218i | 0.00327848 | + | 0.0185932i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 4.09344 | − | 23.2150i | 0.159579 | − | 0.905016i | ||||
\(659\) | −11.1391 | + | 37.2073i | −0.433919 | + | 1.44939i | 0.409587 | + | 0.912271i | \(0.365673\pi\) |
−0.843506 | + | 0.537120i | \(0.819512\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.80224 | + | 30.9432i | −0.0700989 | + | 1.20355i | 0.761496 | + | 0.648169i | \(0.224465\pi\) |
−0.831595 | + | 0.555382i | \(0.812572\pi\) | |||||||
\(662\) | −19.4379 | + | 9.76207i | −0.755474 | + | 0.379414i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.94770 | − | 3.12438i | −0.114393 | − | 0.121249i | ||||
\(665\) | −23.6135 | + | 8.59460i | −0.915691 | + | 0.333284i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.11981 | + | 0.771549i | 0.0820795 | + | 0.0298745i | ||||
\(668\) | 1.86535 | + | 4.32436i | 0.0721725 | + | 0.167315i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.75950 | − | 5.87713i | −0.0679753 | − | 0.227053i | ||||
\(671\) | −34.0924 | + | 3.98483i | −1.31612 | + | 0.153833i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.24379 | + | 38.5243i | 0.0864916 | + | 1.48500i | 0.710562 | + | 0.703635i | \(0.248441\pi\) |
−0.624070 | + | 0.781368i | \(0.714522\pi\) | |||||||
\(674\) | −10.5125 | − | 18.2082i | −0.404926 | − | 0.701352i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.98742 | − | 8.63847i | 0.191824 | − | 0.332249i | ||||
\(677\) | −3.56442 | − | 1.79012i | −0.136992 | − | 0.0688000i | 0.378983 | − | 0.925404i | \(-0.376274\pi\) |
−0.515975 | + | 0.856604i | \(0.672570\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −11.3229 | − | 15.2093i | −0.434532 | − | 0.583677i | ||||
\(680\) | 17.4875 | + | 4.14462i | 0.670615 | + | 0.158939i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.55254 | + | 2.08543i | −0.0594499 | + | 0.0798551i | ||||
\(683\) | −32.2624 | + | 27.0713i | −1.23449 | + | 1.03586i | −0.236551 | + | 0.971619i | \(0.576017\pi\) |
−0.997935 | + | 0.0642370i | \(0.979539\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −10.5217 | − | 8.82872i | −0.402012 | − | 0.337328i | ||||
\(686\) | −1.29970 | + | 0.308034i | −0.0496227 | + | 0.0117608i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.96609 | − | 3.26625i | −0.189330 | − | 0.124524i | ||||
\(689\) | −15.5736 | − | 10.2429i | −0.593306 | − | 0.390224i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.32013 | + | 1.97191i | −0.316513 | + | 0.0750149i | −0.385802 | − | 0.922582i | \(-0.626075\pi\) |
0.0692889 | + | 0.997597i | \(0.477927\pi\) | |||||||
\(692\) | −19.8777 | − | 16.6794i | −0.755638 | − | 0.634056i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 18.2596 | − | 15.3216i | 0.693125 | − | 0.581601i | ||||
\(695\) | 14.0779 | − | 18.9100i | 0.534007 | − | 0.717296i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.04442 | − | 0.721541i | −0.115316 | − | 0.0273303i | ||||
\(698\) | −3.72215 | − | 4.99972i | −0.140885 | − | 0.189242i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −13.2482 | − | 6.65352i | −0.500737 | − | 0.251479i | ||||
\(701\) | 0.440975 | − | 0.763791i | 0.0166554 | − | 0.0288480i | −0.857578 | − | 0.514355i | \(-0.828032\pi\) |
0.874233 | + | 0.485507i | \(0.161365\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.23259 | + | 3.86697i | 0.0842039 | + | 0.145845i | ||||
\(704\) | 0.927670 | + | 15.9275i | 0.0349629 | + | 0.600290i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −16.9460 | + | 1.98070i | −0.637770 | + | 0.0745446i | ||||
\(707\) | 10.4339 | + | 34.8516i | 0.392406 | + | 1.31073i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15.9358 | − | 36.9432i | −0.598480 | − | 1.38743i | −0.900803 | − | 0.434227i | \(-0.857022\pi\) |
0.302324 | − | 0.953205i | \(-0.402238\pi\) | |||||||
\(710\) | −6.66953 | − | 2.42751i | −0.250303 | − | 0.0911028i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.59569 | − | 0.944754i | 0.0972777 | − | 0.0354062i | ||||
\(713\) | −1.56042 | − | 1.65395i | −0.0584382 | − | 0.0619409i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 30.0449 | − | 15.0891i | 1.12362 | − | 0.564301i | ||||
\(716\) | −0.959961 | + | 16.4819i | −0.0358754 | + | 0.615957i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.88015 | + | 12.9606i | −0.144806 | + | 0.483685i | ||||
\(719\) | 2.39151 | − | 13.5629i | 0.0891883 | − | 0.505812i | −0.907186 | − | 0.420730i | \(-0.861774\pi\) |
0.996374 | − | 0.0850815i | \(-0.0271151\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.14866 | − | 12.1857i | −0.0800203 | − | 0.453817i | ||||
\(722\) | −0.723185 | − | 0.0845282i | −0.0269142 | − | 0.00314581i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −15.0479 | + | 15.9499i | −0.559251 | + | 0.592772i | ||||
\(725\) | 0.726051 | − | 1.68318i | 0.0269649 | − | 0.0625116i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.4310 | − | 6.86056i | 0.386864 | − | 0.254444i | −0.341147 | − | 0.940010i | \(-0.610815\pi\) |
0.728011 | + | 0.685566i | \(0.240445\pi\) | |||||||
\(728\) | −45.2317 | −1.67640 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.09374 | −0.188528 | ||||||||
\(731\) | 32.1315 | − | 21.1332i | 1.18843 | − | 0.781641i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.6438 | + | 24.6752i | −0.393139 | + | 0.911398i | 0.600587 | + | 0.799559i | \(0.294933\pi\) |
−0.993726 | + | 0.111839i | \(0.964326\pi\) | |||||||
\(734\) | 12.8219 | − | 13.5904i | 0.473266 | − | 0.501632i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −20.0785 | − | 2.34684i | −0.740103 | − | 0.0865056i | ||||
\(737\) | −4.65283 | − | 26.3875i | −0.171389 | − | 0.971996i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.23374 | + | 24.0107i | −0.155740 | + | 0.883248i | 0.802365 | + | 0.596833i | \(0.203575\pi\) |
−0.958106 | + | 0.286415i | \(0.907536\pi\) | |||||||
\(740\) | 0.590047 | − | 1.97089i | 0.0216906 | − | 0.0724515i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.716768 | + | 12.3064i | −0.0263134 | + | 0.451783i | ||||
\(743\) | 32.2333 | − | 16.1882i | 1.18253 | − | 0.593887i | 0.254743 | − | 0.967009i | \(-0.418009\pi\) |
0.927782 | + | 0.373122i | \(0.121713\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 23.7184 | + | 25.1401i | 0.868975 | + | 0.921060i | ||||
\(746\) | 8.46844 | − | 3.08226i | 0.310052 | − | 0.112850i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 30.2335 | + | 11.0041i | 1.10544 | + | 0.402349i | ||||
\(749\) | 25.3146 | + | 58.6859i | 0.924976 | + | 2.14434i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.670091 | + | 2.23826i | 0.0244520 | + | 0.0816753i | 0.969345 | − | 0.245705i | \(-0.0790194\pi\) |
−0.944893 | + | 0.327380i | \(0.893834\pi\) | |||||||
\(752\) | 5.58137 | − | 0.652369i | 0.203532 | − | 0.0237894i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.133292 | − | 2.28853i | −0.00485421 | − | 0.0833435i | ||||
\(755\) | 1.72660 | + | 2.99055i | 0.0628372 | + | 0.108837i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8.08646 | − | 14.0062i | 0.293907 | − | 0.509063i | −0.680823 | − | 0.732448i | \(-0.738378\pi\) |
0.974730 | + | 0.223386i | \(0.0717109\pi\) | |||||||
\(758\) | 14.4790 | + | 7.27161i | 0.525899 | + | 0.264117i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 10.4565 | + | 14.0455i | 0.379297 | + | 0.509485i | ||||
\(761\) | 44.1342 | + | 10.4600i | 1.59986 | + | 0.379175i | 0.931234 | − | 0.364421i | \(-0.118733\pi\) |
0.668630 | + | 0.743595i | \(0.266881\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −17.3321 | + | 23.2811i | −0.627465 | + | 0.842832i | ||||
\(764\) | 6.13669 | − | 5.14929i | 0.222018 | − | 0.186295i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.49250 | + | 7.96515i | 0.342978 | + | 0.287793i | ||||
\(767\) | 23.0359 | − | 5.45962i | 0.831779 | − | 0.197135i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −15.3444 | − | 10.0922i | −0.553334 | − | 0.363934i | 0.241839 | − | 0.970316i | \(-0.422250\pi\) |
−0.795173 | + | 0.606383i | \(0.792620\pi\) | |||||||
\(770\) | −18.5768 | − | 12.2182i | −0.669462 | − | 0.440312i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.237578 | + | 0.0563069i | −0.00855061 | + | 0.00202653i | ||||
\(773\) | −22.5821 | − | 18.9486i | −0.812222 | − | 0.681536i | 0.138915 | − | 0.990304i | \(-0.455639\pi\) |
−0.951137 | + | 0.308769i | \(0.900083\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.41544 | + | 1.18769i | −0.0508441 | + | 0.0426633i | ||||
\(776\) | −7.89004 | + | 10.5982i | −0.283236 | + | 0.380452i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 21.6806 | + | 5.13839i | 0.777286 | + | 0.184220i | ||||
\(779\) | −1.82038 | − | 2.44520i | −0.0652220 | − | 0.0876083i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −27.7020 | − | 13.9125i | −0.991255 | − | 0.497827i | ||||
\(782\) | 6.18635 | − | 10.7151i | 0.221224 | − | 0.383170i | ||||
\(783\) |