Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), 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: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - x^{3} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 243) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 406.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.406 |
Dual form | 729.2.e.c.325.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.03209 | + | 0.866025i | 0.729797 | + | 0.612372i | 0.930076 | − | 0.367366i | \(-0.119740\pi\) |
−0.200279 | + | 0.979739i | \(0.564185\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.0320889 | − | 0.181985i | −0.0160444 | − | 0.0909926i | ||||
\(5\) | −1.55303 | − | 0.565258i | −0.694538 | − | 0.252791i | −0.0294608 | − | 0.999566i | \(-0.509379\pi\) |
−0.665077 | + | 0.746775i | \(0.731601\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.418748 | − | 2.37484i | 0.158272 | − | 0.897605i | −0.797461 | − | 0.603370i | \(-0.793824\pi\) |
0.955733 | − | 0.294235i | \(-0.0950647\pi\) | |||||||
\(8\) | 1.47178 | − | 2.54920i | 0.520353 | − | 0.901278i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.11334 | − | 1.92836i | −0.352069 | − | 0.609802i | ||||
\(11\) | −5.58512 | + | 2.03282i | −1.68398 | + | 0.612918i | −0.993846 | − | 0.110766i | \(-0.964669\pi\) |
−0.690131 | + | 0.723684i | \(0.742447\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.47178 | + | 2.07407i | −0.685549 | + | 0.575244i | −0.917622 | − | 0.397455i | \(-0.869894\pi\) |
0.232073 | + | 0.972698i | \(0.425449\pi\) | |||||||
\(14\) | 2.48886 | − | 2.08840i | 0.665175 | − | 0.558148i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.37939 | − | 1.23000i | 0.844846 | − | 0.307499i | ||||
\(17\) | −1.50000 | − | 2.59808i | −0.363803 | − | 0.630126i | 0.624780 | − | 0.780801i | \(-0.285189\pi\) |
−0.988583 | + | 0.150675i | \(0.951855\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.31908 | − | 5.74881i | 0.761449 | − | 1.31887i | −0.180655 | − | 0.983547i | \(-0.557822\pi\) |
0.942104 | − | 0.335321i | \(-0.108845\pi\) | |||||||
\(20\) | −0.0530334 | + | 0.300767i | −0.0118586 | + | 0.0672537i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.52481 | − | 2.73881i | −1.60430 | − | 0.583916i | ||||
\(23\) | −0.511144 | − | 2.89884i | −0.106581 | − | 0.604451i | −0.990577 | − | 0.136956i | \(-0.956268\pi\) |
0.883996 | − | 0.467494i | \(-0.154843\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.73783 | − | 1.45821i | −0.347565 | − | 0.291642i | ||||
\(26\) | −4.34730 | −0.852575 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.445622 | −0.0842147 | ||||||||
\(29\) | −0.988856 | − | 0.829748i | −0.183626 | − | 0.154080i | 0.546341 | − | 0.837563i | \(-0.316020\pi\) |
−0.729967 | + | 0.683482i | \(0.760465\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.102196 | − | 0.579585i | −0.0183550 | − | 0.104097i | 0.974254 | − | 0.225454i | \(-0.0723865\pi\) |
−0.992609 | + | 0.121357i | \(0.961275\pi\) | |||||||
\(32\) | −0.979055 | − | 0.356347i | −0.173074 | − | 0.0629939i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.701867 | − | 3.98048i | 0.120369 | − | 0.682647i | ||||
\(35\) | −1.99273 | + | 3.45150i | −0.336832 | + | 0.583410i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.0209445 | − | 0.0362770i | −0.00344326 | − | 0.00596390i | 0.864299 | − | 0.502979i | \(-0.167763\pi\) |
−0.867742 | + | 0.497015i | \(0.834429\pi\) | |||||||
\(38\) | 8.40420 | − | 3.05888i | 1.36334 | − | 0.496216i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.72668 | + | 3.12706i | −0.589240 | + | 0.494431i | ||||
\(41\) | −3.75490 | + | 3.15074i | −0.586417 | + | 0.492062i | −0.887047 | − | 0.461679i | \(-0.847247\pi\) |
0.300630 | + | 0.953741i | \(0.402803\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.87211 | − | 1.77330i | 0.742990 | − | 0.270426i | 0.0573371 | − | 0.998355i | \(-0.481739\pi\) |
0.685653 | + | 0.727929i | \(0.259517\pi\) | |||||||
\(44\) | 0.549163 | + | 0.951178i | 0.0827894 | + | 0.143396i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.98293 | − | 3.43453i | 0.292366 | − | 0.506394i | ||||
\(47\) | −0.648833 | + | 3.67972i | −0.0946421 | + | 0.536742i | 0.900214 | + | 0.435447i | \(0.143410\pi\) |
−0.994856 | + | 0.101295i | \(0.967701\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.11334 | + | 0.405223i | 0.159049 | + | 0.0578890i | ||||
\(50\) | −0.530745 | − | 3.01000i | −0.0750586 | − | 0.425679i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.456767 | + | 0.383273i | 0.0633422 | + | 0.0531504i | ||||
\(53\) | 11.6382 | 1.59862 | 0.799312 | − | 0.600916i | \(-0.205198\pi\) | ||||
0.799312 | + | 0.600916i | \(0.205198\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.82295 | 1.32453 | ||||||||
\(56\) | −5.43763 | − | 4.56272i | −0.726634 | − | 0.609719i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.302004 | − | 1.71275i | −0.0396550 | − | 0.224895i | ||||
\(59\) | 6.90420 | + | 2.51292i | 0.898850 | + | 0.327155i | 0.749792 | − | 0.661674i | \(-0.230154\pi\) |
0.149058 | + | 0.988828i | \(0.452376\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.91875 | − | 10.8818i | 0.245671 | − | 1.39327i | −0.573260 | − | 0.819374i | \(-0.694321\pi\) |
0.818930 | − | 0.573893i | \(-0.194567\pi\) | |||||||
\(62\) | 0.396459 | − | 0.686688i | 0.0503504 | − | 0.0872094i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.29813 | − | 7.44459i | −0.537267 | − | 0.930573i | ||||
\(65\) | 5.01114 | − | 1.82391i | 0.621556 | − | 0.226228i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.42262 | − | 1.19372i | 0.173801 | − | 0.145836i | −0.551738 | − | 0.834017i | \(-0.686035\pi\) |
0.725539 | + | 0.688182i | \(0.241591\pi\) | |||||||
\(68\) | −0.424678 | + | 0.356347i | −0.0514998 | + | 0.0432134i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.04576 | + | 1.83651i | −0.603084 | + | 0.219504i | ||||
\(71\) | 2.75624 | + | 4.77396i | 0.327106 | + | 0.566564i | 0.981936 | − | 0.189212i | \(-0.0605932\pi\) |
−0.654830 | + | 0.755776i | \(0.727260\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.77719 | + | 4.81023i | −0.325045 | + | 0.562995i | −0.981522 | − | 0.191352i | \(-0.938713\pi\) |
0.656476 | + | 0.754347i | \(0.272046\pi\) | |||||||
\(74\) | 0.00980018 | − | 0.0555796i | 0.00113925 | − | 0.00646100i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.15270 | − | 0.419550i | −0.132224 | − | 0.0481257i | ||||
\(77\) | 2.48886 | + | 14.1150i | 0.283631 | + | 1.60855i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.89646 | − | 2.43042i | −0.325877 | − | 0.273443i | 0.465140 | − | 0.885237i | \(-0.346004\pi\) |
−0.791017 | + | 0.611794i | \(0.790448\pi\) | |||||||
\(80\) | −5.94356 | −0.664511 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.60401 | −0.729291 | ||||||||
\(83\) | 3.05303 | + | 2.56180i | 0.335114 | + | 0.281194i | 0.794780 | − | 0.606898i | \(-0.207586\pi\) |
−0.459666 | + | 0.888092i | \(0.652031\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.860967 | + | 4.88279i | 0.0933850 | + | 0.529613i | ||||
\(86\) | 6.56418 | + | 2.38917i | 0.707833 | + | 0.257630i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.03802 | + | 17.2295i | −0.323854 | + | 1.83667i | ||||
\(89\) | −4.07532 | + | 7.05866i | −0.431983 | + | 0.748217i | −0.997044 | − | 0.0768323i | \(-0.975519\pi\) |
0.565061 | + | 0.825049i | \(0.308853\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.89053 | + | 6.73859i | 0.407838 | + | 0.706397i | ||||
\(92\) | −0.511144 | + | 0.186041i | −0.0532905 | + | 0.0193961i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.85638 | + | 3.23589i | −0.397755 | + | 0.333756i | ||||
\(95\) | −8.40420 | + | 7.05196i | −0.862253 | + | 0.723516i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.245100 | + | 0.0892091i | −0.0248861 | + | 0.00905781i | −0.354433 | − | 0.935081i | \(-0.615326\pi\) |
0.329547 | + | 0.944139i | \(0.393104\pi\) | |||||||
\(98\) | 0.798133 | + | 1.38241i | 0.0806236 | + | 0.139644i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.209607 | + | 0.363051i | −0.0209607 | + | 0.0363051i | ||||
\(101\) | 1.91488 | − | 10.8598i | 0.190537 | − | 1.08059i | −0.728094 | − | 0.685477i | \(-0.759594\pi\) |
0.918632 | − | 0.395115i | \(-0.129295\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.67112 | + | 1.33618i | 0.361726 | + | 0.131658i | 0.516489 | − | 0.856294i | \(-0.327239\pi\) |
−0.154762 | + | 0.987952i | \(0.549461\pi\) | |||||||
\(104\) | 1.64930 | + | 9.35365i | 0.161727 | + | 0.917200i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.0116 | + | 10.0789i | 1.16667 | + | 0.978953i | ||||
\(107\) | −2.63816 | −0.255040 | −0.127520 | − | 0.991836i | \(-0.540702\pi\) | ||||
−0.127520 | + | 0.991836i | \(0.540702\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.95811 | −0.858031 | −0.429016 | − | 0.903297i | \(-0.641140\pi\) | ||||
−0.429016 | + | 0.903297i | \(0.641140\pi\) | |||||||
\(110\) | 10.1382 | + | 8.50692i | 0.966635 | + | 0.811103i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.50593 | − | 8.54055i | −0.142297 | − | 0.807006i | ||||
\(113\) | −14.9684 | − | 5.44804i | −1.40811 | − | 0.512509i | −0.477533 | − | 0.878614i | \(-0.658469\pi\) |
−0.930574 | + | 0.366105i | \(0.880691\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.844770 | + | 4.79093i | −0.0787752 | + | 0.446756i | ||||
\(116\) | −0.119271 | + | 0.206583i | −0.0110740 | + | 0.0191807i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.94949 | + | 8.57277i | 0.455638 | + | 0.789188i | ||||
\(119\) | −6.79813 | + | 2.47432i | −0.623184 | + | 0.226820i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 18.6348 | − | 15.6364i | 1.69407 | − | 1.42149i | ||||
\(122\) | 11.4042 | − | 9.56926i | 1.03249 | − | 0.866360i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.102196 | + | 0.0371965i | −0.00917751 | + | 0.00334034i | ||||
\(125\) | 6.00640 | + | 10.4034i | 0.537228 | + | 0.930507i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.79813 | + | 3.11446i | −0.159559 | + | 0.276363i | −0.934710 | − | 0.355412i | \(-0.884340\pi\) |
0.775151 | + | 0.631776i | \(0.217674\pi\) | |||||||
\(128\) | 1.64930 | − | 9.35365i | 0.145779 | − | 0.826753i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.75150 | + | 2.45734i | 0.592145 | + | 0.215523i | ||||
\(131\) | −3.07486 | − | 17.4384i | −0.268651 | − | 1.52360i | −0.758432 | − | 0.651752i | \(-0.774034\pi\) |
0.489781 | − | 0.871846i | \(-0.337077\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −12.2626 | − | 10.2896i | −1.06331 | − | 0.892220i | ||||
\(134\) | 2.50206 | 0.216145 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.83069 | −0.757225 | ||||||||
\(137\) | −3.00980 | − | 2.52552i | −0.257145 | − | 0.215770i | 0.505097 | − | 0.863063i | \(-0.331457\pi\) |
−0.762242 | + | 0.647293i | \(0.775901\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.07785 | + | 11.7841i | 0.176241 | + | 0.999511i | 0.936702 | + | 0.350128i | \(0.113862\pi\) |
−0.760461 | + | 0.649383i | \(0.775027\pi\) | |||||||
\(140\) | 0.692066 | + | 0.251892i | 0.0584903 | + | 0.0212887i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.28968 | + | 7.31412i | −0.108227 | + | 0.613788i | ||||
\(143\) | 9.58899 | − | 16.6086i | 0.801872 | − | 1.38888i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.06670 | + | 1.84759i | 0.0885849 | + | 0.153434i | ||||
\(146\) | −7.03209 | + | 2.55947i | −0.581980 | + | 0.211823i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.00592979 | + | 0.00497568i | −0.000487425 | + | 0.000408999i | ||||
\(149\) | 15.7233 | − | 13.1934i | 1.28810 | − | 1.08085i | 0.296029 | − | 0.955179i | \(-0.404338\pi\) |
0.992073 | − | 0.125666i | \(-0.0401068\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −15.0424 | + | 5.47497i | −1.22413 | + | 0.445547i | −0.871583 | − | 0.490248i | \(-0.836906\pi\) |
−0.352546 | + | 0.935794i | \(0.614684\pi\) | |||||||
\(152\) | −9.76991 | − | 16.9220i | −0.792445 | − | 1.37255i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −9.65523 | + | 16.7233i | −0.778041 | + | 1.34761i | ||||
\(155\) | −0.168900 | + | 0.957882i | −0.0135664 | + | 0.0769389i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 20.6484 | + | 7.51541i | 1.64792 | + | 0.599795i | 0.988398 | − | 0.151887i | \(-0.0485350\pi\) |
0.659526 | + | 0.751682i | \(0.270757\pi\) | |||||||
\(158\) | −0.884600 | − | 5.01681i | −0.0703750 | − | 0.399116i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.31908 | + | 1.10684i | 0.104282 | + | 0.0875032i | ||||
\(161\) | −7.09833 | −0.559426 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 20.5107 | 1.60652 | 0.803262 | − | 0.595625i | \(-0.203096\pi\) | ||||
0.803262 | + | 0.595625i | \(0.203096\pi\) | |||||||
\(164\) | 0.693877 | + | 0.582232i | 0.0541827 | + | 0.0454647i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.932419 | + | 5.28801i | 0.0723697 | + | 0.410429i | ||||
\(167\) | −4.03209 | − | 1.46756i | −0.312012 | − | 0.113563i | 0.181268 | − | 0.983434i | \(-0.441980\pi\) |
−0.493280 | + | 0.869871i | \(0.664202\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.449493 | + | 2.54920i | −0.0345764 | + | 0.196092i | ||||
\(170\) | −3.34002 | + | 5.78509i | −0.256168 | + | 0.443696i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.479055 | − | 0.829748i | −0.0365276 | − | 0.0632677i | ||||
\(173\) | −3.56418 | + | 1.29725i | −0.270979 | + | 0.0986284i | −0.473936 | − | 0.880559i | \(-0.657167\pi\) |
0.202957 | + | 0.979188i | \(0.434945\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.19072 | + | 3.51643i | −0.316789 | + | 0.265817i | ||||
\(176\) | −16.3739 | + | 13.7394i | −1.23423 | + | 1.03564i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −10.3191 | + | 3.75584i | −0.773448 | + | 0.281512i | ||||
\(179\) | −4.13816 | − | 7.16750i | −0.309300 | − | 0.535724i | 0.668909 | − | 0.743344i | \(-0.266761\pi\) |
−0.978209 | + | 0.207620i | \(0.933428\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.36097 | + | 5.82137i | −0.249819 | + | 0.432699i | −0.963475 | − | 0.267797i | \(-0.913704\pi\) |
0.713657 | + | 0.700496i | \(0.247038\pi\) | |||||||
\(182\) | −1.82042 | + | 10.3241i | −0.134939 | + | 0.765275i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −8.14203 | − | 2.96346i | −0.600238 | − | 0.218469i | ||||
\(185\) | 0.0120217 | + | 0.0681784i | 0.000883853 | + | 0.00501258i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 13.6591 | + | 11.4613i | 0.998852 | + | 0.838137i | ||||
\(188\) | 0.690474 | 0.0503580 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −14.7811 | −1.07233 | ||||||||
\(191\) | −3.84137 | − | 3.22329i | −0.277952 | − | 0.233229i | 0.493145 | − | 0.869947i | \(-0.335847\pi\) |
−0.771097 | + | 0.636718i | \(0.780292\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.10220 | − | 17.5934i | −0.223301 | − | 1.26640i | −0.865907 | − | 0.500206i | \(-0.833258\pi\) |
0.642606 | − | 0.766197i | \(-0.277853\pi\) | |||||||
\(194\) | −0.330222 | − | 0.120191i | −0.0237086 | − | 0.00862922i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0380187 | − | 0.215615i | 0.00271562 | − | 0.0154010i | ||||
\(197\) | −0.361844 | + | 0.626733i | −0.0257803 | + | 0.0446529i | −0.878628 | − | 0.477507i | \(-0.841540\pi\) |
0.852847 | + | 0.522160i | \(0.174874\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.09627 | + | 8.82699i | 0.361265 | + | 0.625729i | 0.988169 | − | 0.153367i | \(-0.0490117\pi\) |
−0.626905 | + | 0.779096i | \(0.715678\pi\) | |||||||
\(200\) | −6.27497 | + | 2.28390i | −0.443707 | + | 0.161496i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 11.3812 | − | 9.54996i | 0.800778 | − | 0.671933i | ||||
\(203\) | −2.38460 | + | 2.00092i | −0.167366 | + | 0.140437i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.61246 | − | 2.77071i | 0.531678 | − | 0.193515i | ||||
\(206\) | 2.63176 | + | 4.55834i | 0.183363 | + | 0.317595i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.80200 | + | 10.0494i | −0.402297 | + | 0.696798i | ||||
\(209\) | −6.85117 | + | 38.8549i | −0.473905 | + | 2.68765i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.9684 | + | 5.08407i | 0.961623 | + | 0.350002i | 0.774669 | − | 0.632367i | \(-0.217916\pi\) |
0.186954 | + | 0.982369i | \(0.440139\pi\) | |||||||
\(212\) | −0.373455 | − | 2.11797i | −0.0256490 | − | 0.145463i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.72281 | − | 2.28471i | −0.186128 | − | 0.156180i | ||||
\(215\) | −8.56893 | −0.584396 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.41921 | −0.0963426 | ||||||||
\(218\) | −9.24557 | − | 7.75795i | −0.626189 | − | 0.525435i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.315207 | − | 1.78763i | −0.0212513 | − | 0.120522i | ||||
\(221\) | 9.09627 | + | 3.31077i | 0.611881 | + | 0.222707i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.90121 | + | 10.7823i | −0.127314 | + | 0.722035i | 0.852592 | + | 0.522577i | \(0.175029\pi\) |
−0.979906 | + | 0.199458i | \(0.936082\pi\) | |||||||
\(224\) | −1.25624 | + | 2.17588i | −0.0839364 | + | 0.145382i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.7306 | − | 18.5859i | −0.713786 | − | 1.23631i | ||||
\(227\) | 16.2875 | − | 5.92815i | 1.08104 | − | 0.393465i | 0.260743 | − | 0.965408i | \(-0.416032\pi\) |
0.820293 | + | 0.571943i | \(0.193810\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.19665 | − | 1.00411i | 0.0790770 | − | 0.0663535i | −0.602392 | − | 0.798200i | \(-0.705786\pi\) |
0.681469 | + | 0.731847i | \(0.261341\pi\) | |||||||
\(230\) | −5.02094 | + | 4.21307i | −0.331071 | + | 0.277802i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.57057 | + | 1.29958i | −0.234420 | + | 0.0853218i | ||||
\(233\) | −8.39440 | − | 14.5395i | −0.549935 | − | 0.952516i | −0.998278 | − | 0.0586545i | \(-0.981319\pi\) |
0.448343 | − | 0.893862i | \(-0.352014\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.08765 | − | 5.34796i | 0.201416 | − | 0.348863i | ||||
\(236\) | 0.235767 | − | 1.33710i | 0.0153471 | − | 0.0870377i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −9.15910 | − | 3.33364i | −0.593696 | − | 0.216088i | ||||
\(239\) | −0.699645 | − | 3.96788i | −0.0452563 | − | 0.256661i | 0.953782 | − | 0.300498i | \(-0.0971529\pi\) |
−0.999039 | + | 0.0438370i | \(0.986042\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.56805 | − | 2.15485i | −0.165423 | − | 0.138806i | 0.556319 | − | 0.830969i | \(-0.312213\pi\) |
−0.721741 | + | 0.692163i | \(0.756658\pi\) | |||||||
\(242\) | 32.7743 | 2.10681 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.04189 | −0.130719 | ||||||||
\(245\) | −1.50000 | − | 1.25865i | −0.0958315 | − | 0.0804122i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.71941 | + | 21.0938i | 0.236660 | + | 1.34217i | ||||
\(248\) | −1.62789 | − | 0.592503i | −0.103371 | − | 0.0376240i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.81046 | + | 15.9389i | −0.177749 | + | 1.00807i | ||||
\(251\) | 11.5753 | − | 20.0490i | 0.730628 | − | 1.26548i | −0.225987 | − | 0.974130i | \(-0.572561\pi\) |
0.956615 | − | 0.291354i | \(-0.0941059\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.74763 | + | 15.1513i | 0.549959 | + | 0.952556i | ||||
\(254\) | −4.55303 | + | 1.65717i | −0.285683 | + | 0.103980i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.36753 | + | 2.82569i | −0.210470 | + | 0.176606i | ||||
\(257\) | 9.20233 | − | 7.72167i | 0.574026 | − | 0.481665i | −0.308953 | − | 0.951077i | \(-0.599979\pi\) |
0.882979 | + | 0.469412i | \(0.155534\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.0949225 | + | 0.0345490i | −0.00589820 | + | 0.00214677i | ||||
\(260\) | −0.492726 | − | 0.853427i | −0.0305576 | − | 0.0529273i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 11.9285 | − | 20.6609i | 0.736948 | − | 1.27643i | ||||
\(263\) | 2.93494 | − | 16.6449i | 0.180976 | − | 1.02637i | −0.750040 | − | 0.661392i | \(-0.769966\pi\) |
0.931017 | − | 0.364976i | \(-0.118923\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −18.0744 | − | 6.57856i | −1.11030 | − | 0.404118i | ||||
\(266\) | −3.74510 | − | 21.2395i | −0.229627 | − | 1.30228i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.262889 | − | 0.220590i | −0.0160585 | − | 0.0134747i | ||||
\(269\) | −7.91447 | −0.482554 | −0.241277 | − | 0.970456i | \(-0.577566\pi\) | ||||
−0.241277 | + | 0.970456i | \(0.577566\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.2344 | −1.04692 | −0.523458 | − | 0.852051i | \(-0.675358\pi\) | ||||
−0.523458 | + | 0.852051i | \(0.675358\pi\) | |||||||
\(272\) | −8.26470 | − | 6.93491i | −0.501121 | − | 0.420490i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.919215 | − | 5.21313i | −0.0555318 | − | 0.314937i | ||||
\(275\) | 12.6702 | + | 4.61159i | 0.764044 | + | 0.278089i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.59034 | − | 26.0331i | 0.275807 | − | 1.56418i | −0.460581 | − | 0.887618i | \(-0.652359\pi\) |
0.736388 | − | 0.676560i | \(-0.236530\pi\) | |||||||
\(278\) | −8.06077 | + | 13.9617i | −0.483453 | + | 0.837365i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 5.86571 | + | 10.1597i | 0.350543 | + | 0.607159i | ||||
\(281\) | 17.8503 | − | 6.49697i | 1.06486 | − | 0.387577i | 0.250607 | − | 0.968089i | \(-0.419370\pi\) |
0.814252 | + | 0.580512i | \(0.197148\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.7062 | + | 10.6618i | −0.755305 | + | 0.633777i | −0.936900 | − | 0.349597i | \(-0.886319\pi\) |
0.181595 | + | 0.983373i | \(0.441874\pi\) | |||||||
\(284\) | 0.780344 | − | 0.654786i | 0.0463049 | − | 0.0388544i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 24.2802 | − | 8.83726i | 1.43572 | − | 0.522558i | ||||
\(287\) | 5.91013 | + | 10.2366i | 0.348864 | + | 0.604250i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.00000 | − | 6.92820i | 0.235294 | − | 0.407541i | ||||
\(290\) | −0.499123 | + | 2.83067i | −0.0293095 | + | 0.166222i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.964508 | + | 0.351052i | 0.0564435 | + | 0.0205438i | ||||
\(293\) | 3.36143 | + | 19.0636i | 0.196377 | + | 1.11371i | 0.910444 | + | 0.413632i | \(0.135740\pi\) |
−0.714067 | + | 0.700077i | \(0.753149\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.30200 | − | 7.80531i | −0.541584 | − | 0.454443i | ||||
\(296\) | −0.123303 | −0.00716685 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 27.6536 | 1.60193 | ||||||||
\(299\) | 7.27584 | + | 6.10516i | 0.420773 | + | 0.353070i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.17112 | − | 12.3130i | −0.125141 | − | 0.709712i | ||||
\(302\) | −20.2665 | − | 7.37641i | −1.16621 | − | 0.424465i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.14543 | − | 23.5099i | 0.237757 | − | 1.34839i | ||||
\(305\) | −9.13088 | + | 15.8152i | −0.522833 | + | 0.905573i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −10.4029 | − | 18.0183i | −0.593722 | − | 1.02836i | −0.993726 | − | 0.111844i | \(-0.964324\pi\) |
0.400003 | − | 0.916514i | \(-0.369009\pi\) | |||||||
\(308\) | 2.48886 | − | 0.905869i | 0.141816 | − | 0.0516167i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.00387 | + | 0.842347i | −0.0570160 | + | 0.0478421i | ||||
\(311\) | −8.17024 | + | 6.85565i | −0.463292 | + | 0.388748i | −0.844341 | − | 0.535807i | \(-0.820008\pi\) |
0.381049 | + | 0.924555i | \(0.375563\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.58512 | + | 1.30488i | −0.202643 | + | 0.0737561i | −0.441348 | − | 0.897336i | \(-0.645499\pi\) |
0.238705 | + | 0.971092i | \(0.423277\pi\) | |||||||
\(314\) | 14.8025 | + | 25.6386i | 0.835352 | + | 1.44687i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.349356 | + | 0.605102i | −0.0196528 | + | 0.0340396i | ||||
\(317\) | 4.58243 | − | 25.9883i | 0.257375 | − | 1.45965i | −0.532526 | − | 0.846413i | \(-0.678757\pi\) |
0.789902 | − | 0.613234i | \(-0.210132\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.20961 | + | 2.62408i | 0.403661 | + | 0.146920i | ||||
\(320\) | 2.46703 | + | 13.9912i | 0.137911 | + | 0.782134i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −7.32610 | − | 6.14733i | −0.408268 | − | 0.342577i | ||||
\(323\) | −19.9145 | −1.10807 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.31996 | 0.406038 | ||||||||
\(326\) | 21.1689 | + | 17.7628i | 1.17244 | + | 0.983791i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.50546 | + | 14.2092i | 0.138341 | + | 0.784571i | ||||
\(329\) | 8.46703 | + | 3.08175i | 0.466803 | + | 0.169902i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.272908 | + | 1.54774i | −0.0150004 | + | 0.0850713i | −0.991389 | − | 0.130950i | \(-0.958197\pi\) |
0.976389 | + | 0.216022i | \(0.0693082\pi\) | |||||||
\(332\) | 0.368241 | − | 0.637812i | 0.0202098 | − | 0.0350045i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.89053 | − | 5.00654i | −0.158163 | − | 0.273946i | ||||
\(335\) | −2.88413 | + | 1.04974i | −0.157577 | + | 0.0573533i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.14022 | + | 5.15225i | −0.334479 | + | 0.280661i | −0.794522 | − | 0.607236i | \(-0.792278\pi\) |
0.460043 | + | 0.887897i | \(0.347834\pi\) | |||||||
\(338\) | −2.67159 | + | 2.24173i | −0.145315 | + | 0.121934i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.860967 | − | 0.313366i | 0.0466925 | − | 0.0169947i | ||||
\(341\) | 1.74897 | + | 3.02931i | 0.0947121 | + | 0.164046i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.86871 | − | 17.0931i | 0.532860 | − | 0.922941i | ||||
\(344\) | 2.65018 | − | 15.0299i | 0.142888 | − | 0.810358i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.80200 | − | 1.74779i | −0.258157 | − | 0.0939616i | ||||
\(347\) | 3.44609 | + | 19.5437i | 0.184996 | + | 1.04916i | 0.925961 | + | 0.377620i | \(0.123257\pi\) |
−0.740965 | + | 0.671544i | \(0.765632\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.49794 | + | 7.13062i | 0.454884 | + | 0.381693i | 0.841245 | − | 0.540655i | \(-0.181823\pi\) |
−0.386360 | + | 0.922348i | \(0.626268\pi\) | |||||||
\(350\) | −7.37052 | −0.393971 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.19253 | 0.330063 | ||||||||
\(353\) | −2.19388 | − | 1.84088i | −0.116768 | − | 0.0979803i | 0.582534 | − | 0.812806i | \(-0.302061\pi\) |
−0.699302 | + | 0.714826i | \(0.746506\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.58202 | − | 8.97210i | −0.0839651 | − | 0.476190i | ||||
\(356\) | 1.41534 | + | 0.515143i | 0.0750131 | + | 0.0273025i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.93629 | − | 10.9812i | 0.102336 | − | 0.580377i | ||||
\(359\) | −14.3944 | + | 24.9318i | −0.759707 | + | 1.31585i | 0.183292 | + | 0.983058i | \(0.441324\pi\) |
−0.943000 | + | 0.332793i | \(0.892009\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.5326 | − | 21.7070i | −0.659608 | − | 1.14247i | ||||
\(362\) | −8.51027 | + | 3.09748i | −0.447290 | + | 0.162800i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.10148 | − | 0.924252i | 0.0577333 | − | 0.0484440i | ||||
\(365\) | 7.03209 | − | 5.90062i | 0.368076 | − | 0.308853i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.3293 | − | 3.75957i | 0.539187 | − | 0.196248i | −0.0580485 | − | 0.998314i | \(-0.518488\pi\) |
0.597236 | + | 0.802066i | \(0.296266\pi\) | |||||||
\(368\) | −5.29292 | − | 9.16760i | −0.275912 | − | 0.477894i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.0466368 | + | 0.0807773i | −0.00242453 | + | 0.00419941i | ||||
\(371\) | 4.87346 | − | 27.6387i | 0.253017 | − | 1.43493i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −31.3949 | − | 11.4268i | −1.62556 | − | 0.591657i | −0.641134 | − | 0.767429i | \(-0.721536\pi\) |
−0.984431 | + | 0.175772i | \(0.943758\pi\) | |||||||
\(374\) | 4.17159 | + | 23.6583i | 0.215708 | + | 1.22334i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.42539 | + | 7.06974i | 0.434506 | + | 0.364594i | ||||
\(377\) | 4.16519 | 0.214518 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.9394 | 1.07559 | 0.537794 | − | 0.843077i | \(-0.319258\pi\) | ||||
0.537794 | + | 0.843077i | \(0.319258\pi\) | |||||||
\(380\) | 1.55303 | + | 1.30315i | 0.0796689 | + | 0.0668502i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.17318 | − | 6.65344i | −0.0600252 | − | 0.340420i | ||||
\(383\) | 3.86319 | + | 1.40609i | 0.197400 | + | 0.0718476i | 0.438828 | − | 0.898571i | \(-0.355394\pi\) |
−0.241428 | + | 0.970419i | \(0.577616\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.11334 | − | 23.3279i | 0.209635 | − | 1.18890i | ||||
\(386\) | 12.0346 | − | 20.8446i | 0.612546 | − | 1.06096i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.0240997 | + | 0.0417419i | 0.00122348 | + | 0.00211912i | ||||
\(389\) | −16.0633 | + | 5.84656i | −0.814442 | + | 0.296433i | −0.715457 | − | 0.698656i | \(-0.753782\pi\) |
−0.0989844 | + | 0.995089i | \(0.531559\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.76470 | + | 5.67626i | −0.342106 | + | 0.287061i | ||||
\(392\) | 2.67159 | − | 2.24173i | 0.134936 | − | 0.113224i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.916222 | + | 0.333477i | −0.0461586 | + | 0.0168004i | ||||
\(395\) | 3.12449 | + | 5.41177i | 0.157210 | + | 0.272296i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.2010 | + | 19.4007i | −0.562162 | + | 0.973692i | 0.435146 | + | 0.900360i | \(0.356697\pi\) |
−0.997308 | + | 0.0733324i | \(0.976637\pi\) | |||||||
\(398\) | −2.38460 | + | 13.5237i | −0.119529 | + | 0.677884i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.66637 | − | 2.79033i | −0.383319 | − | 0.139517i | ||||
\(401\) | −2.53209 | − | 14.3602i | −0.126446 | − | 0.717114i | −0.980438 | − | 0.196827i | \(-0.936936\pi\) |
0.853992 | − | 0.520287i | \(-0.174175\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.45471 | + | 1.22064i | 0.0724641 | + | 0.0608046i | ||||
\(404\) | −2.03777 | −0.101383 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.19396 | −0.208143 | ||||||||
\(407\) | 0.190722 | + | 0.160035i | 0.00945375 | + | 0.00793264i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.03936 | − | 17.2371i | −0.150287 | − | 0.852319i | −0.962969 | − | 0.269612i | \(-0.913105\pi\) |
0.812682 | − | 0.582707i | \(-0.198007\pi\) | |||||||
\(410\) | 10.2562 | + | 3.73297i | 0.506520 | + | 0.184358i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.125362 | − | 0.710966i | 0.00617617 | − | 0.0350268i | ||||
\(413\) | 8.85891 | − | 15.3441i | 0.435918 | − | 0.755033i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.29339 | − | 5.70431i | −0.161666 | − | 0.280014i | ||||
\(416\) | 3.15910 | − | 1.14982i | 0.154888 | − | 0.0563745i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −40.7203 | + | 34.1684i | −1.99170 | + | 1.67123i | ||||
\(419\) | 14.4492 | − | 12.1244i | 0.705892 | − | 0.592314i | −0.217551 | − | 0.976049i | \(-0.569807\pi\) |
0.923443 | + | 0.383735i | \(0.125363\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 30.3837 | − | 11.0588i | 1.48081 | − | 0.538971i | 0.529799 | − | 0.848123i | \(-0.322267\pi\) |
0.951013 | + | 0.309152i | \(0.100045\pi\) | |||||||
\(422\) | 10.0137 | + | 17.3442i | 0.487458 | + | 0.844302i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 17.1288 | − | 29.6680i | 0.831849 | − | 1.44080i | ||||
\(425\) | −1.18180 | + | 6.70232i | −0.0573257 | + | 0.325110i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −25.0390 | − | 9.11343i | −1.21172 | − | 0.441030i | ||||
\(428\) | 0.0846555 | + | 0.480105i | 0.00409198 | + | 0.0232068i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.84389 | − | 7.42091i | −0.426490 | − | 0.357868i | ||||
\(431\) | 34.3164 | 1.65297 | 0.826483 | − | 0.562962i | \(-0.190338\pi\) | ||||
0.826483 | + | 0.562962i | \(0.190338\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −25.0669 | −1.20464 | −0.602318 | − | 0.798256i | \(-0.705756\pi\) | ||||
−0.602318 | + | 0.798256i | \(0.705756\pi\) | |||||||
\(434\) | −1.46476 | − | 1.22908i | −0.0703105 | − | 0.0589975i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.287456 | + | 1.63024i | 0.0137666 | + | 0.0780745i | ||||
\(437\) | −18.3614 | − | 6.68302i | −0.878346 | − | 0.319692i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.03003 | + | 22.8554i | −0.192343 | + | 1.09083i | 0.723809 | + | 0.690000i | \(0.242389\pi\) |
−0.916152 | + | 0.400830i | \(0.868722\pi\) | |||||||
\(440\) | 14.4572 | − | 25.0407i | 0.689222 | − | 1.19377i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.52094 | + | 11.2946i | 0.310170 | + | 0.537230i | ||||
\(443\) | 3.87299 | − | 1.40965i | 0.184011 | − | 0.0669746i | −0.248371 | − | 0.968665i | \(-0.579895\pi\) |
0.432382 | + | 0.901690i | \(0.357673\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.3191 | − | 8.65873i | 0.489171 | − | 0.410463i | ||||
\(446\) | −11.2999 | + | 9.48178i | −0.535068 | + | 0.448975i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −19.4795 | + | 7.08997i | −0.920321 | + | 0.334969i | ||||
\(449\) | −9.17071 | − | 15.8841i | −0.432793 | − | 0.749619i | 0.564320 | − | 0.825556i | \(-0.309138\pi\) |
−0.997113 | + | 0.0759373i | \(0.975805\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.5667 | − | 25.2303i | 0.685919 | − | 1.18805i | ||||
\(452\) | −0.511144 | + | 2.89884i | −0.0240422 | + | 0.136350i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 21.9440 | + | 7.98697i | 1.02988 | + | 0.374847i | ||||
\(455\) | −2.23308 | − | 12.6644i | −0.104688 | − | 0.593717i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.9081 | − | 12.5094i | −0.697370 | − | 0.585163i | 0.223654 | − | 0.974669i | \(-0.428201\pi\) |
−0.921024 | + | 0.389506i | \(0.872646\pi\) | |||||||
\(458\) | 2.10464 | 0.0983432 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.898986 | 0.0419154 | ||||||||
\(461\) | 21.2572 | + | 17.8369i | 0.990045 | + | 0.830747i | 0.985574 | − | 0.169243i | \(-0.0541323\pi\) |
0.00447116 | + | 0.999990i | \(0.498577\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.71776 | + | 38.0983i | 0.312201 | + | 1.77058i | 0.587504 | + | 0.809221i | \(0.300110\pi\) |
−0.275304 | + | 0.961357i | \(0.588778\pi\) | |||||||
\(464\) | −4.36231 | − | 1.58775i | −0.202515 | − | 0.0737095i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.92783 | − | 22.2758i | 0.181953 | − | 1.03191i | ||||
\(467\) | −14.8819 | + | 25.7762i | −0.688653 | + | 1.19278i | 0.283621 | + | 0.958936i | \(0.408464\pi\) |
−0.972274 | + | 0.233845i | \(0.924869\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.23917 | − | 3.87836i | −0.103395 | − | 0.179086i | ||||
\(470\) | 7.81820 | − | 2.84559i | 0.360627 | − | 0.131257i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 16.5674 | − | 13.9017i | 0.762577 | − | 0.639878i | ||||
\(473\) | −23.6065 | + | 19.8082i | −1.08543 | + | 0.910784i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −14.1509 | + | 5.15052i | −0.649290 | + | 0.236322i | ||||
\(476\) | 0.668434 | + | 1.15776i | 0.0306376 | + | 0.0530659i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.71419 | − | 4.70112i | 0.124144 | − | 0.215024i | ||||
\(479\) | −6.54236 | + | 37.1035i | −0.298928 | + | 1.69530i | 0.351867 | + | 0.936050i | \(0.385547\pi\) |
−0.650794 | + | 0.759254i | \(0.725564\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.127011 | + | 0.0462284i | 0.00579122 | + | 0.00210783i | ||||
\(482\) | −0.784301 | − | 4.44799i | −0.0357239 | − | 0.202600i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −3.44356 | − | 2.88949i | −0.156526 | − | 0.131341i | ||||
\(485\) | 0.431074 | 0.0195741 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.763823 | −0.0346121 | −0.0173061 | − | 0.999850i | \(-0.505509\pi\) | ||||
−0.0173061 | + | 0.999850i | \(0.505509\pi\) | |||||||
\(488\) | −24.9158 | − | 20.9068i | −1.12789 | − | 0.946409i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.458111 | − | 2.59808i | −0.0206953 | − | 0.117369i | ||||
\(491\) | 0.467911 | + | 0.170306i | 0.0211165 | + | 0.00768579i | 0.352557 | − | 0.935790i | \(-0.385312\pi\) |
−0.331440 | + | 0.943476i | \(0.607535\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.672466 | + | 3.81374i | −0.0302864 | + | 0.171762i | ||||
\(494\) | −14.4290 | + | 24.9918i | −0.649192 | + | 1.12443i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.05825 | − | 1.83294i | −0.0475167 | − | 0.0823014i | ||||
\(497\) | 12.4915 | − | 4.54655i | 0.560322 | − | 0.203941i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.86824 | − | 5.76314i | 0.307465 | − | 0.257994i | −0.475979 | − | 0.879457i | \(-0.657906\pi\) |
0.783443 | + | 0.621463i | \(0.213462\pi\) | |||||||
\(500\) | 1.70052 | − | 1.42691i | 0.0760497 | − | 0.0638133i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 29.3097 | − | 10.6679i | 1.30816 | − | 0.476131i | ||||
\(503\) | −9.18092 | − | 15.9018i | −0.409357 | − | 0.709027i | 0.585461 | − | 0.810701i | \(-0.300914\pi\) |
−0.994818 | + | 0.101673i | \(0.967580\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.11246 | + | 15.7832i | −0.405499 | + | 0.702345i | ||||
\(506\) | −4.09311 | + | 23.2132i | −0.181961 | + | 1.03195i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.624485 | + | 0.227294i | 0.0277070 | + | 0.0100845i | ||||
\(509\) | −4.92649 | − | 27.9395i | −0.218363 | − | 1.23840i | −0.874975 | − | 0.484168i | \(-0.839122\pi\) |
0.656612 | − | 0.754228i | \(-0.271989\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.2606 | + | 8.60965i | 0.453901 | + | 0.380868i | ||||
\(512\) | −24.9186 | −1.10126 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 16.1848 | 0.713881 | ||||||||
\(515\) | −4.94609 | − | 4.15026i | −0.217951 | − | 0.182882i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.85638 | − | 21.8706i | −0.169603 | − | 0.961869i | ||||
\(518\) | −0.127889 | − | 0.0465477i | −0.00561911 | − | 0.00204519i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.72580 | − | 15.4588i | 0.119534 | − | 0.677913i | ||||
\(521\) | 16.3191 | − | 28.2655i | 0.714952 | − | 1.23833i | −0.248026 | − | 0.968753i | \(-0.579782\pi\) |
0.962978 | − | 0.269580i | \(-0.0868847\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.0116 | + | 19.0727i | 0.481504 | + | 0.833990i | 0.999775 | − | 0.0212271i | \(-0.00675730\pi\) |
−0.518271 | + | 0.855217i | \(0.673424\pi\) | |||||||
\(524\) | −3.07486 | + | 1.11916i | −0.134326 | + | 0.0488905i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 17.4440 | − | 14.6373i | 0.760596 | − | 0.638216i | ||||
\(527\) | −1.35251 | + | 1.13489i | −0.0589163 | + | 0.0494366i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.4709 | − | 4.90301i | 0.585691 | − | 0.213174i | ||||
\(530\) | −12.9572 | − | 22.4426i | −0.562826 | − | 0.974844i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.47906 | + | 2.56180i | −0.0641252 | + | 0.111068i | ||||
\(533\) | 2.74644 | − | 15.5759i | 0.118962 | − | 0.674665i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.09714 | + | 1.49124i | 0.177135 | + | 0.0644719i | ||||
\(536\) | −0.949244 | − | 5.38343i | −0.0410011 | − | 0.232529i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.16843 | − | 6.85413i | −0.352166 | − | 0.295503i | ||||
\(539\) | −7.04189 | −0.303316 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15.7870 | −0.678738 | −0.339369 | − | 0.940653i | \(-0.610214\pi\) | ||||
−0.339369 | + | 0.940653i | \(0.610214\pi\) | |||||||
\(542\) | −17.7875 | − | 14.9254i | −0.764037 | − | 0.641103i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.542766 | + | 3.07818i | 0.0232709 | + | 0.131976i | ||||
\(545\) | 13.9122 | + | 5.06364i | 0.595935 | + | 0.216903i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.76130 | + | 27.0027i | −0.203578 | + | 1.15455i | 0.696083 | + | 0.717961i | \(0.254925\pi\) |
−0.899661 | + | 0.436589i | \(0.856187\pi\) | |||||||
\(548\) | −0.363026 | + | 0.628780i | −0.0155077 | + | 0.0268602i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 9.08306 | + | 15.7323i | 0.387303 | + | 0.670829i | ||||
\(551\) | −8.05216 | + | 2.93075i | −0.343033 | + | 0.124854i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.98474 | + | 5.86089i | −0.297021 | + | 0.249230i | ||||
\(554\) | 27.2830 | − | 22.8931i | 1.15914 | − | 0.972635i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.07785 | − | 0.756275i | 0.0881204 | − | 0.0320732i | ||||
\(557\) | −14.7010 | − | 25.4629i | −0.622901 | − | 1.07890i | −0.988943 | − | 0.148298i | \(-0.952621\pi\) |
0.366042 | − | 0.930598i | \(-0.380713\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.36484 | + | 14.4883i | −0.353795 | + | 0.612791i | ||||
\(560\) | −2.48886 | + | 14.1150i | −0.105173 | + | 0.596468i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 24.0496 | + | 8.75335i | 1.01447 | + | 0.369238i | ||||
\(563\) | −1.80082 | − | 10.2130i | −0.0758956 | − | 0.430425i | −0.998952 | − | 0.0457616i | \(-0.985429\pi\) |
0.923057 | − | 0.384664i | \(-0.125683\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 20.1668 | + | 16.9220i | 0.848425 | + | 0.711913i | ||||
\(566\) | −22.3473 | −0.939327 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 16.2264 | 0.680843 | ||||||||
\(569\) | −25.2558 | − | 21.1922i | −1.05878 | − | 0.888422i | −0.0647903 | − | 0.997899i | \(-0.520638\pi\) |
−0.993989 | + | 0.109477i | \(0.965082\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.128051 | − | 0.726212i | −0.00535876 | − | 0.0303910i | 0.982011 | − | 0.188823i | \(-0.0604673\pi\) |
−0.987370 | + | 0.158432i | \(0.949356\pi\) | |||||||
\(572\) | −3.33022 | − | 1.21210i | −0.139244 | − | 0.0506805i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.76542 | + | 15.6835i | −0.115426 | + | 0.654615i | ||||
\(575\) | −3.33884 | + | 5.78304i | −0.139239 | + | 0.241169i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −9.67159 | − | 16.7517i | −0.402634 | − | 0.697382i | 0.591409 | − | 0.806371i | \(-0.298572\pi\) |
−0.994043 | + | 0.108990i | \(0.965238\pi\) | |||||||
\(578\) | 10.1284 | − | 3.68642i | 0.421284 | − | 0.153335i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.302004 | − | 0.253411i | 0.0125400 | − | 0.0105223i | ||||
\(581\) | 7.36231 | − | 6.17771i | 0.305440 | − | 0.256295i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −65.0005 | + | 23.6583i | −2.69205 | + | 0.979825i | ||||
\(584\) | 8.17483 | + | 14.1592i | 0.338277 | + | 0.585913i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −13.0403 | + | 22.5865i | −0.538690 | + | 0.933038i | ||||
\(587\) | −5.54148 | + | 31.4273i | −0.228721 | + | 1.29714i | 0.626721 | + | 0.779244i | \(0.284397\pi\) |
−0.855442 | + | 0.517899i | \(0.826714\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.67112 | − | 1.33618i | −0.151266 | − | 0.0550563i | ||||
\(590\) | −2.84090 | − | 16.1115i | −0.116958 | − | 0.663302i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.115400 | − | 0.0968323i | −0.00474292 | − | 0.00397978i | ||||
\(593\) | 31.6783 | 1.30087 | 0.650436 | − | 0.759561i | \(-0.274586\pi\) | ||||
0.650436 | + | 0.759561i | \(0.274586\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 11.9564 | 0.490163 | ||||||||
\(596\) | −2.90554 | − | 2.43804i | −0.119016 | − | 0.0998661i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.22210 | + | 12.6021i | 0.0908683 | + | 0.515340i | ||||
\(599\) | 11.8623 | + | 4.31753i | 0.484681 | + | 0.176409i | 0.572791 | − | 0.819701i | \(-0.305861\pi\) |
−0.0881103 | + | 0.996111i | \(0.528083\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.54694 | + | 8.77314i | −0.0631011 | + | 0.357864i | 0.936866 | + | 0.349690i | \(0.113713\pi\) |
−0.999967 | + | 0.00817407i | \(0.997398\pi\) | |||||||
\(602\) | 8.42262 | − | 14.5884i | 0.343280 | − | 0.594579i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.47906 | + | 2.56180i | 0.0601819 | + | 0.104238i | ||||
\(605\) | −37.7790 | + | 13.7504i | −1.53593 | + | 0.559035i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −25.3746 | + | 21.2918i | −1.02992 | + | 0.864209i | −0.990842 | − | 0.135026i | \(-0.956888\pi\) |
−0.0390828 | + | 0.999236i | \(0.512444\pi\) | |||||||
\(608\) | −5.29813 | + | 4.44566i | −0.214868 | + | 0.180295i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −23.1202 | + | 8.41507i | −0.936110 | + | 0.340716i | ||||
\(611\) | −6.02822 | − | 10.4412i | −0.243876 | − | 0.422405i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.84002 | + | 15.3114i | −0.357045 | + | 0.618420i | −0.987466 | − | 0.157833i | \(-0.949549\pi\) |
0.630421 | + | 0.776254i | \(0.282882\pi\) | |||||||
\(614\) | 4.86761 | − | 27.6056i | 0.196441 | − | 1.11407i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 39.6450 | + | 14.4296i | 1.59734 | + | 0.581385i | ||||
\(617\) | −4.46838 | − | 25.3414i | −0.179890 | − | 1.02021i | −0.932347 | − | 0.361566i | \(-0.882242\pi\) |
0.752457 | − | 0.658642i | \(-0.228869\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 21.2920 | + | 17.8661i | 0.855799 | + | 0.718101i | 0.961059 | − | 0.276344i | \(-0.0891229\pi\) |
−0.105259 | + | 0.994445i | \(0.533567\pi\) | |||||||
\(620\) | 0.179740 | 0.00721854 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −14.3696 | −0.576168 | ||||||||
\(623\) | 15.0567 | + | 12.6340i | 0.603232 | + | 0.506172i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.47787 | − | 8.38144i | −0.0591149 | − | 0.335257i | ||||
\(626\) | −4.83022 | − | 1.75806i | −0.193055 | − | 0.0702661i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.705108 | − | 3.99887i | 0.0281369 | − | 0.159572i | ||||
\(629\) | −0.0628336 | + | 0.108831i | −0.00250534 | + | 0.00433938i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.4069 | − | 23.2214i | −0.533720 | − | 0.924430i | −0.999224 | − | 0.0393842i | \(-0.987460\pi\) |
0.465504 | − | 0.885046i | \(-0.345873\pi\) | |||||||
\(632\) | −10.4586 | + | 3.80661i | −0.416020 | + | 0.151419i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 27.2360 | − | 22.8537i | 1.08168 | − | 0.907637i | ||||
\(635\) | 4.55303 | − | 3.82045i | 0.180682 | − | 0.151610i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.59240 | + | 1.30753i | −0.142336 | + | 0.0518060i | ||||
\(638\) | 5.16843 | + | 8.95199i | 0.204620 | + | 0.354413i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −7.84864 | + | 13.5942i | −0.310245 | + | 0.537360i | ||||
\(641\) | 2.20368 | − | 12.4977i | 0.0870400 | − | 0.493629i | −0.909858 | − | 0.414920i | \(-0.863809\pi\) |
0.996898 | − | 0.0787081i | \(-0.0250795\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −14.5432 | − | 5.29330i | −0.573529 | − | 0.208748i | 0.0389407 | − | 0.999242i | \(-0.487602\pi\) |
−0.612470 | + | 0.790494i | \(0.709824\pi\) | |||||||
\(644\) | 0.227777 | + | 1.29179i | 0.00897569 | + | 0.0509036i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −20.5535 | − | 17.2464i | −0.808667 | − | 0.678552i | ||||
\(647\) | 11.1506 | 0.438377 | 0.219189 | − | 0.975683i | \(-0.429659\pi\) | ||||
0.219189 | + | 0.975683i | \(0.429659\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −43.6691 | −1.71416 | ||||||||
\(650\) | 7.55484 | + | 6.33927i | 0.296325 | + | 0.248647i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.658167 | − | 3.73265i | −0.0257758 | − | 0.146182i | ||||
\(653\) | −41.9029 | − | 15.2514i | −1.63979 | − | 0.596834i | −0.652786 | − | 0.757543i | \(-0.726400\pi\) |
−0.987002 | + | 0.160709i | \(0.948622\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.08182 | + | 28.8205i | −0.198563 | + | 1.12611i | ||||
\(656\) | −8.81386 | + | 15.2661i | −0.344124 | + | 0.596039i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 6.06986 | + | 10.5133i | 0.236628 | + | 0.409851i | ||||
\(659\) | 13.2464 | − | 4.82131i | 0.516008 | − | 0.187812i | −0.0708720 | − | 0.997485i | \(-0.522578\pi\) |
0.586880 | + | 0.809674i | \(0.300356\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 27.6655 | − | 23.2141i | 1.07606 | − | 0.902924i | 0.0804751 | − | 0.996757i | \(-0.474356\pi\) |
0.995588 | + | 0.0938325i | \(0.0299118\pi\) | |||||||
\(662\) | −1.62205 | + | 1.36106i | −0.0630426 | + | 0.0528990i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 11.0239 | − | 4.01239i | 0.427812 | − | 0.155711i | ||||
\(665\) | 13.2280 | + | 22.9116i | 0.512961 | + | 0.888474i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.89986 | + | 3.29066i | −0.0735630 | + | 0.127415i | ||||
\(668\) | −0.137689 | + | 0.780873i | −0.00532734 | + | 0.0302129i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3.88578 | − | 1.41431i | −0.150121 | − | 0.0546395i | ||||
\(671\) | 11.4042 | + | 64.6764i | 0.440254 | + | 2.49681i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.71760 | + | 1.44123i | 0.0662085 | + | 0.0555555i | 0.675291 | − | 0.737551i | \(-0.264018\pi\) |
−0.609083 | + | 0.793107i | \(0.708462\pi\) | |||||||
\(674\) | −10.7992 | −0.415971 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.478340 | 0.0183977 | ||||||||
\(677\) | 26.9466 | + | 22.6108i | 1.03564 | + | 0.869005i | 0.991511 | − | 0.130020i | \(-0.0415043\pi\) |
0.0441290 | + | 0.999026i | \(0.485949\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.109222 | + | 0.619429i | 0.00419156 | + | 0.0237715i | ||||
\(680\) | 13.7144 | + | 4.99162i | 0.525922 | + | 0.191420i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.818363 | + | 4.64117i | −0.0313367 | + | 0.177719i | ||||
\(683\) | 8.88191 | − | 15.3839i | 0.339857 | − | 0.588649i | −0.644549 | − | 0.764563i | \(-0.722955\pi\) |
0.984406 | + | 0.175914i | \(0.0562880\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.24675 | + | 5.62353i | 0.124052 | + | 0.214864i | ||||
\(686\) | 24.9884 | − | 9.09505i | 0.954063 | − | 0.347251i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 14.2836 | − | 11.9854i | 0.544557 | − | 0.456937i | ||||
\(689\) | −28.7670 | + | 24.1384i | −1.09593 | + | 0.919598i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 41.3753 | − | 15.0594i | 1.57399 | − | 0.572885i | 0.600103 | − | 0.799923i | \(-0.295126\pi\) |
0.973886 | + | 0.227037i | \(0.0729039\pi\) | |||||||
\(692\) | 0.350452 | + | 0.607000i | 0.0133222 | + | 0.0230747i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −13.3687 | + | 23.1553i | −0.507469 | + | 0.878962i | ||||
\(695\) | 3.43407 | − | 19.4756i | 0.130262 | − | 0.738750i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 13.8182 | + | 5.02941i | 0.523402 | + | 0.190503i | ||||
\(698\) | 2.59533 | + | 14.7189i | 0.0982348 | + | 0.557117i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.774414 | + | 0.649811i | 0.0292701 | + | 0.0245605i | ||||
\(701\) | −30.1052 | −1.13706 | −0.568530 | − | 0.822663i | \(-0.692488\pi\) | ||||
−0.568530 | + | 0.822663i | \(0.692488\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.278066 | −0.0104875 | ||||||||
\(704\) | 39.1391 | + | 32.8416i | 1.47511 | + | 1.23776i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.670026 | − | 3.79991i | −0.0252168 | − | 0.143011i | ||||
\(707\) | −24.9884 | − | 9.09505i | −0.939787 | − | 0.342055i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.29561 | + | 24.3616i | −0.161325 | + | 0.914919i | 0.791448 | + | 0.611236i | \(0.209327\pi\) |
−0.952773 | + | 0.303683i | \(0.901784\pi\) | |||||||
\(710\) | 6.13728 | − | 10.6301i | 0.230328 | − | 0.398940i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 11.9960 | + | 20.7776i | 0.449568 | + | 0.778674i | ||||
\(713\) | −1.62789 | + | 0.592503i | −0.0609649 | + | 0.0221894i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −24.2802 | + | 20.3735i | −0.908027 | + | 0.761925i | ||||
\(716\) | −1.17159 | + | 0.983080i | −0.0437843 | + | 0.0367394i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −36.4479 | + | 13.2660i | −1.36022 | + | 0.495081i | ||||
\(719\) | 21.7763 | + | 37.7177i | 0.812119 | + | 1.40663i | 0.911378 | + | 0.411570i | \(0.135020\pi\) |
−0.0992586 | + | 0.995062i | \(0.531647\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.71048 | − | 8.15880i | 0.175428 | − | 0.303850i | ||||
\(722\) | 5.86412 | − | 33.2571i | 0.218240 | − | 1.23770i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.16725 | + | 0.424845i | 0.0433806 | + | 0.0157892i | ||||
\(725\) | 0.508512 | + | 2.88392i | 0.0188857 | + | 0.107106i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.7324 | + | 13.2010i | 0.583481 | + | 0.489599i | 0.886088 | − | 0.463517i | \(-0.153413\pi\) |
−0.302607 | + | 0.953115i | \(0.597857\pi\) | |||||||
\(728\) | 22.9040 | 0.848880 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.3678 | 0.457754 | ||||||||
\(731\) | −11.9153 | − | 9.99816i | −0.440705 | − | 0.369795i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.43211 | + | 13.7932i | 0.0898322 | + | 0.509464i | 0.996209 | + | 0.0869932i | \(0.0277258\pi\) |
−0.906377 | + | 0.422470i | \(0.861163\pi\) | |||||||
\(734\) | 13.9167 | + | 5.06526i | 0.513674 | + | 0.186962i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.532556 | + | 3.02027i | −0.0196303 | + | 0.111329i | ||||
\(737\) | −5.51889 | + | 9.55899i | −0.203291 | + | 0.352110i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 20.9907 | + | 36.3569i | 0.772154 | + | 1.33741i | 0.936380 | + | 0.350987i | \(0.114154\pi\) |
−0.164226 | + | 0.986423i | \(0.552513\pi\) | |||||||
\(740\) | 0.0120217 | − | 0.00437554i | 0.000441926 | − | 0.000160848i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 28.9657 | − | 24.3051i | 1.06336 | − | 0.892268i | ||||
\(743\) | 21.3436 | − | 17.9094i | 0.783022 | − | 0.657034i | −0.160985 | − | 0.986957i | \(-0.551467\pi\) |
0.944008 | + | 0.329923i | \(0.107023\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −31.8764 | + | 11.6021i | −1.16786 | + | 0.425067i | ||||
\(746\) | −22.5064 | − | 38.9822i | −0.824018 | − | 1.42724i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.64749 | − | 2.85353i | 0.0602382 | − | 0.104336i | ||||
\(749\) | −1.10472 | + | 6.26519i | −0.0403657 | + | 0.228925i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 49.7144 | + | 18.0946i | 1.81410 | + | 0.660280i | 0.996413 | + | 0.0846236i | \(0.0269688\pi\) |
0.817692 | + | 0.575656i | \(0.195253\pi\) | |||||||
\(752\) | 2.33338 | + | 13.2332i | 0.0850895 | + | 0.482567i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.29885 | + | 3.60716i | 0.156555 | + | 0.131365i | ||||
\(755\) | 26.4561 | 0.962834 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −41.4858 | −1.50783 | −0.753913 | − | 0.656975i | \(-0.771836\pi\) | ||||
−0.753913 | + | 0.656975i | \(0.771836\pi\) | |||||||
\(758\) | 21.6114 | + | 18.1341i | 0.784960 | + | 0.658660i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.60772 | + | 31.8029i | 0.203413 | + | 1.15361i | ||||
\(761\) | 42.6502 | + | 15.5234i | 1.54607 | + | 0.562723i | 0.967492 | − | 0.252904i | \(-0.0813855\pi\) |
0.578578 | + | 0.815627i | \(0.303608\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.75119 | + | 21.2741i | −0.135802 | + | 0.770173i | ||||
\(764\) | −0.463326 | + | 0.802503i | −0.0167625 | + | 0.0290336i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.76945 | + | 4.79682i | 0.100064 | + | 0.173316i | ||||
\(767\) | −22.2777 | + | 8.10840i | −0.804400 | + | 0.292777i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.91946 | − | 3.28882i | 0.141339 | − | 0.118598i | −0.569377 | − | 0.822077i | \(-0.692815\pi\) |
0.710716 | + | 0.703479i | \(0.248371\pi\) | |||||||
\(770\) | 24.4479 | − | 20.5142i | 0.881041 | − | 0.739281i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.10220 | + | 1.12911i | −0.111650 | + | 0.0406375i | ||||
\(773\) | 26.3214 | + | 45.5899i | 0.946713 | + | 1.63976i | 0.752284 | + | 0.658839i | \(0.228952\pi\) |
0.194430 | + | 0.980916i | \(0.437714\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.667556 | + | 1.15624i | −0.0239793 | + | 0.0415334i | ||||
\(776\) | −0.133322 | + | 0.756105i | −0.00478597 | + | 0.0271426i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −21.6420 | − | 7.87705i | −0.775904 | − | 0.282406i | ||||
\(779\) | 5.65018 | + | 32.0437i | 0.202439 | + | 1.14809i | ||||
\ |