Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), degree \(6\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 251.20 | ||
Character | \(\chi\) | \(=\) | 441.251 |
Dual form | 441.2.w.a.188.20 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.13317 | + | 1.70115i | 1.50838 | + | 1.20289i | 0.918511 | + | 0.395396i | \(0.129393\pi\) |
0.589871 | + | 0.807498i | \(0.299179\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.21148 | + | 5.30783i | 0.605739 | + | 2.65392i | ||||
\(5\) | 1.31998 | + | 0.635668i | 0.590313 | + | 0.284280i | 0.705097 | − | 0.709111i | \(-0.250903\pi\) |
−0.114784 | + | 0.993390i | \(0.536618\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.795783 | − | 2.52324i | −0.300778 | − | 0.953694i | ||||
\(8\) | −4.07748 | + | 8.46697i | −1.44161 | + | 2.99353i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.73438 | + | 3.60147i | 0.548458 | + | 1.13889i | ||||
\(11\) | −2.75661 | − | 2.19832i | −0.831149 | − | 0.662819i | 0.112542 | − | 0.993647i | \(-0.464101\pi\) |
−0.943691 | + | 0.330828i | \(0.892672\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.51813 | + | 3.60309i | 1.25310 | + | 0.999317i | 0.999487 | + | 0.0320125i | \(0.0101916\pi\) |
0.253617 | + | 0.967305i | \(0.418380\pi\) | |||||||
\(14\) | 2.59486 | − | 6.73625i | 0.693505 | − | 1.80034i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −13.2912 | + | 6.40071i | −3.32280 | + | 1.60018i | ||||
\(17\) | −0.0162072 | + | 0.0710083i | −0.00393082 | + | 0.0172220i | −0.976855 | − | 0.213901i | \(-0.931383\pi\) |
0.972924 | + | 0.231123i | \(0.0742401\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 4.52011i | − | 1.03698i | −0.855083 | − | 0.518492i | \(-0.826494\pi\) | ||
0.855083 | − | 0.518492i | \(-0.173506\pi\) | |||||||
\(20\) | −1.77490 | + | 7.77633i | −0.396879 | + | 1.73884i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.14065 | − | 9.37881i | −0.456388 | − | 1.99957i | ||||
\(23\) | −1.76402 | + | 0.402626i | −0.367824 | + | 0.0839533i | −0.402438 | − | 0.915447i | \(-0.631837\pi\) |
0.0346140 | + | 0.999401i | \(0.488980\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.77918 | − | 2.23102i | −0.355836 | − | 0.446204i | ||||
\(26\) | 3.50857 | + | 15.3720i | 0.688086 | + | 3.01470i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 12.4289 | − | 7.28073i | 2.34883 | − | 1.37593i | ||||
\(29\) | 2.61910 | + | 0.597792i | 0.486354 | + | 0.111007i | 0.458665 | − | 0.888609i | \(-0.348328\pi\) |
0.0276894 | + | 0.999617i | \(0.491185\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 7.13274i | − | 1.28108i | −0.767926 | − | 0.640539i | \(-0.778711\pi\) | ||
0.767926 | − | 0.640539i | \(-0.221289\pi\) | |||||||
\(32\) | −20.9170 | − | 4.77416i | −3.69763 | − | 0.843960i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.155368 | + | 0.123902i | −0.0266455 | + | 0.0212491i | ||||
\(35\) | 0.553525 | − | 3.83647i | 0.0935629 | − | 0.648483i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.33034 | − | 5.82860i | 0.218706 | − | 0.958216i | −0.739729 | − | 0.672905i | \(-0.765046\pi\) |
0.958435 | − | 0.285310i | \(-0.0920967\pi\) | |||||||
\(38\) | 7.68938 | − | 9.64217i | 1.24738 | − | 1.56417i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −10.7644 | + | 8.58430i | −1.70200 | + | 1.35730i | ||||
\(41\) | 11.3454 | + | 5.46367i | 1.77186 | + | 0.853282i | 0.964875 | + | 0.262709i | \(0.0846159\pi\) |
0.806984 | + | 0.590573i | \(0.201098\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.31339 | + | 0.632493i | −0.200289 | + | 0.0964543i | −0.531340 | − | 0.847159i | \(-0.678311\pi\) |
0.331050 | + | 0.943613i | \(0.392597\pi\) | |||||||
\(44\) | 8.32876 | − | 17.2949i | 1.25561 | − | 2.60730i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.44789 | − | 2.14199i | −0.655805 | − | 0.315819i | ||||
\(47\) | −5.84471 | + | 7.32903i | −0.852538 | + | 1.06905i | 0.144296 | + | 0.989535i | \(0.453908\pi\) |
−0.996834 | + | 0.0795141i | \(0.974663\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.73346 | + | 4.01590i | −0.819065 | + | 0.573700i | ||||
\(50\) | − | 7.78580i | − | 1.10108i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −13.6510 | + | 28.3466i | −1.89305 | + | 3.93096i | ||||
\(53\) | −9.10665 | + | 2.07853i | −1.25089 | + | 0.285508i | −0.796142 | − | 0.605110i | \(-0.793129\pi\) |
−0.454752 | + | 0.890618i | \(0.650272\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.24126 | − | 4.65403i | −0.302212 | − | 0.627549i | ||||
\(56\) | 24.6090 | + | 3.55058i | 3.28851 | + | 0.474466i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.57005 | + | 5.73067i | 0.600078 | + | 0.752474i | ||||
\(59\) | −0.107203 | + | 0.0516262i | −0.0139566 | + | 0.00672116i | −0.440849 | − | 0.897581i | \(-0.645323\pi\) |
0.426892 | + | 0.904302i | \(0.359608\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.20130 | + | 0.730676i | 0.409885 | + | 0.0935535i | 0.422491 | − | 0.906367i | \(-0.361156\pi\) |
−0.0126066 | + | 0.999921i | \(0.504013\pi\) | |||||||
\(62\) | 12.1339 | − | 15.2154i | 1.54100 | − | 1.93235i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −18.1023 | − | 22.6996i | −2.26279 | − | 2.83745i | ||||
\(65\) | 3.67347 | + | 7.62804i | 0.455638 | + | 0.946141i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.78127 | 0.706294 | 0.353147 | − | 0.935568i | \(-0.385112\pi\) | ||||
0.353147 | + | 0.935568i | \(0.385112\pi\) | |||||||
\(68\) | −0.396535 | −0.0480869 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 7.70718 | − | 7.24224i | 0.921184 | − | 0.865613i | ||||
\(71\) | 0.0872291 | − | 0.0199095i | 0.0103522 | − | 0.00236282i | −0.217342 | − | 0.976096i | \(-0.569739\pi\) |
0.227694 | + | 0.973733i | \(0.426881\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.43319 | − | 2.73788i | 0.401824 | − | 0.320444i | −0.401640 | − | 0.915798i | \(-0.631560\pi\) |
0.803464 | + | 0.595354i | \(0.202988\pi\) | |||||||
\(74\) | 12.7532 | − | 10.1703i | 1.48252 | − | 1.18227i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 23.9920 | − | 5.47601i | 2.75207 | − | 0.628142i | ||||
\(77\) | −3.35323 | + | 8.70497i | −0.382136 | + | 0.992024i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.89253 | −0.325435 | −0.162718 | − | 0.986673i | \(-0.552026\pi\) | ||||
−0.162718 | + | 0.986673i | \(0.552026\pi\) | |||||||
\(80\) | −21.6128 | −2.41639 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 14.9073 | + | 30.9552i | 1.64623 | + | 3.41843i | ||||
\(83\) | 0.251403 | + | 0.315250i | 0.0275951 | + | 0.0346032i | 0.795438 | − | 0.606036i | \(-0.207241\pi\) |
−0.767842 | + | 0.640639i | \(0.778670\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.0665309 | + | 0.0834271i | −0.00721629 | + | 0.00904894i | ||||
\(86\) | −3.87765 | − | 0.885047i | −0.418137 | − | 0.0954371i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 29.8532 | − | 14.3765i | 3.18236 | − | 1.53254i | ||||
\(89\) | −6.88377 | − | 8.63197i | −0.729678 | − | 0.914987i | 0.269164 | − | 0.963094i | \(-0.413253\pi\) |
−0.998842 | + | 0.0481072i | \(0.984681\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.49600 | − | 14.2676i | 0.576137 | − | 1.49565i | ||||
\(92\) | −4.27415 | − | 8.87536i | −0.445611 | − | 0.925320i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −24.9355 | + | 5.69137i | −2.57190 | + | 0.587020i | ||||
\(95\) | 2.87329 | − | 5.96645i | 0.294793 | − | 0.612144i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 14.7498i | − | 1.49761i | −0.662790 | − | 0.748805i | \(-0.730628\pi\) | ||
0.662790 | − | 0.748805i | \(-0.269372\pi\) | |||||||
\(98\) | −19.0621 | − | 1.18685i | −1.92556 | − | 0.119890i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 9.68645 | − | 12.1464i | 0.968645 | − | 1.21464i | ||||
\(101\) | 7.65207 | + | 3.68504i | 0.761409 | + | 0.366675i | 0.773951 | − | 0.633246i | \(-0.218278\pi\) |
−0.0125414 | + | 0.999921i | \(0.503992\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.92234 | + | 3.99179i | −0.189414 | + | 0.393322i | −0.973951 | − | 0.226760i | \(-0.927187\pi\) |
0.784537 | + | 0.620083i | \(0.212901\pi\) | |||||||
\(104\) | −48.9299 | + | 23.5634i | −4.79797 | + | 2.31058i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −22.9619 | − | 11.0579i | −2.23026 | − | 1.07404i | ||||
\(107\) | 2.62877 | − | 2.09637i | 0.254132 | − | 0.202664i | −0.488134 | − | 0.872769i | \(-0.662322\pi\) |
0.742267 | + | 0.670105i | \(0.233751\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.57622 | + | 9.50028i | −0.725670 | + | 0.909962i | −0.998644 | − | 0.0520596i | \(-0.983421\pi\) |
0.272974 | + | 0.962022i | \(0.411993\pi\) | |||||||
\(110\) | 3.13620 | − | 13.7406i | 0.299025 | − | 1.31011i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 26.7274 | + | 28.4433i | 2.52550 | + | 2.68764i | ||||
\(113\) | −11.1377 | + | 8.88203i | −1.04775 | + | 0.835551i | −0.986695 | − | 0.162584i | \(-0.948017\pi\) |
−0.0610528 | + | 0.998135i | \(0.519446\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.58441 | − | 0.589874i | −0.240997 | − | 0.0550060i | ||||
\(116\) | 14.6259i | 1.35799i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.316506 | − | 0.0722405i | −0.0291368 | − | 0.00665028i | ||||
\(119\) | 0.192068 | − | 0.0156126i | 0.0176069 | − | 0.00143121i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.318544 | + | 1.39563i | 0.0289585 | + | 0.126876i | ||||
\(122\) | 5.58594 | + | 7.00455i | 0.505727 | + | 0.634162i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 37.8594 | − | 8.64116i | 3.39988 | − | 0.775999i | ||||
\(125\) | −2.56033 | − | 11.2175i | −0.229003 | − | 1.00333i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.26155 | + | 18.6711i | −0.378151 | + | 1.65679i | 0.324974 | + | 0.945723i | \(0.394644\pi\) |
−0.703125 | + | 0.711066i | \(0.748213\pi\) | |||||||
\(128\) | − | 36.3073i | − | 3.20914i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.14028 | + | 22.5210i | −0.450832 | + | 1.97523i | ||||
\(131\) | −11.8431 | + | 5.70335i | −1.03474 | + | 0.498304i | −0.872585 | − | 0.488462i | \(-0.837558\pi\) |
−0.162153 | + | 0.986766i | \(0.551844\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.4053 | + | 3.59703i | −0.988965 | + | 0.311902i | ||||
\(134\) | 12.3324 | + | 9.83479i | 1.06536 | + | 0.849597i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.535141 | − | 0.426761i | −0.0458880 | − | 0.0365944i | ||||
\(137\) | 1.52964 | + | 3.17632i | 0.130686 | + | 0.271371i | 0.956036 | − | 0.293249i | \(-0.0947367\pi\) |
−0.825350 | + | 0.564621i | \(0.809022\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.97429 | − | 10.3292i | 0.421914 | − | 0.876114i | −0.576349 | − | 0.817204i | \(-0.695523\pi\) |
0.998263 | − | 0.0589101i | \(-0.0187625\pi\) | |||||||
\(140\) | 21.0340 | − | 1.70979i | 1.77769 | − | 0.144503i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.219944 | + | 0.105919i | 0.0184573 | + | 0.00888855i | ||||
\(143\) | −4.53397 | − | 19.8646i | −0.379150 | − | 1.66116i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.07716 | + | 2.45395i | 0.255544 | + | 0.203789i | ||||
\(146\) | 11.9811 | 0.991564 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 32.5489 | 2.67550 | ||||||||
\(149\) | −9.76826 | − | 7.78993i | −0.800247 | − | 0.638176i | 0.135528 | − | 0.990774i | \(-0.456727\pi\) |
−0.935775 | + | 0.352598i | \(0.885298\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.64786 | + | 20.3636i | 0.378237 | + | 1.65717i | 0.702864 | + | 0.711324i | \(0.251904\pi\) |
−0.324627 | + | 0.945842i | \(0.605239\pi\) | |||||||
\(152\) | 38.2716 | + | 18.4306i | 3.10424 | + | 1.49492i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −21.9615 | + | 12.8649i | −1.76971 | + | 1.03668i | ||||
\(155\) | 4.53406 | − | 9.41507i | 0.364184 | − | 0.756236i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.01362 | − | 10.4109i | −0.400131 | − | 0.830880i | −0.999537 | − | 0.0304347i | \(-0.990311\pi\) |
0.599406 | − | 0.800445i | \(-0.295403\pi\) | |||||||
\(158\) | −6.17027 | − | 4.92062i | −0.490880 | − | 0.391464i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −24.5752 | − | 19.5980i | −1.94284 | − | 1.54936i | ||||
\(161\) | 2.41970 | + | 4.13064i | 0.190699 | + | 0.325540i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.26562 | − | 3.98051i | 0.647413 | − | 0.311778i | −0.0812055 | − | 0.996697i | \(-0.525877\pi\) |
0.728619 | + | 0.684920i | \(0.240163\pi\) | |||||||
\(164\) | −15.2555 | + | 66.8388i | −1.19126 | + | 5.21923i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.10016i | 0.0853888i | ||||||||
\(167\) | −4.71322 | + | 20.6500i | −0.364720 | + | 1.59794i | 0.376324 | + | 0.926488i | \(0.377188\pi\) |
−0.741045 | + | 0.671456i | \(0.765669\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.53849 | + | 19.8844i | 0.349114 | + | 1.52957i | ||||
\(170\) | −0.283844 | + | 0.0647855i | −0.0217698 | + | 0.00496882i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.94831 | − | 6.20498i | −0.377305 | − | 0.473126i | ||||
\(173\) | 1.40176 | + | 6.14152i | 0.106574 | + | 0.466931i | 0.999848 | + | 0.0174192i | \(0.00554499\pi\) |
−0.893274 | + | 0.449512i | \(0.851598\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.21355 | + | 6.26470i | −0.318515 | + | 0.473567i | ||||
\(176\) | 50.7095 | + | 11.5741i | 3.82237 | + | 0.872431i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 30.1238i | − | 2.25787i | ||||||
\(179\) | −10.2984 | − | 2.35054i | −0.769737 | − | 0.175687i | −0.180420 | − | 0.983590i | \(-0.557746\pi\) |
−0.589316 | + | 0.807902i | \(0.700603\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.4269 | + | 9.11265i | −0.849355 | + | 0.677338i | −0.948168 | − | 0.317768i | \(-0.897067\pi\) |
0.0988136 | + | 0.995106i | \(0.468495\pi\) | |||||||
\(182\) | 35.9952 | − | 21.0857i | 2.66814 | − | 1.56298i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.78373 | − | 16.5776i | 0.278940 | − | 1.22212i | ||||
\(185\) | 5.46107 | − | 6.84797i | 0.401506 | − | 0.503473i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.200776 | − | 0.160114i | 0.0146822 | − | 0.0117087i | ||||
\(188\) | −45.9820 | − | 22.1438i | −3.35358 | − | 1.61500i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 16.2790 | − | 7.83957i | 1.18101 | − | 0.568742i | ||||
\(191\) | −1.47744 | + | 3.06794i | −0.106904 | + | 0.221988i | −0.947558 | − | 0.319585i | \(-0.896457\pi\) |
0.840654 | + | 0.541573i | \(0.182171\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −24.4304 | − | 11.7651i | −1.75854 | − | 0.846867i | −0.973921 | − | 0.226886i | \(-0.927146\pi\) |
−0.784617 | − | 0.619981i | \(-0.787140\pi\) | |||||||
\(194\) | 25.0915 | − | 31.4638i | 1.80147 | − | 2.25897i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −28.2617 | − | 25.5671i | −2.01869 | − | 1.82622i | ||||
\(197\) | − | 10.1592i | − | 0.723813i | −0.932214 | − | 0.361906i | \(-0.882126\pi\) | ||
0.932214 | − | 0.361906i | \(-0.117874\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.770780 | + | 1.60054i | −0.0546391 | + | 0.113459i | −0.926501 | − | 0.376293i | \(-0.877199\pi\) |
0.871862 | + | 0.489752i | \(0.162913\pi\) | |||||||
\(200\) | 26.1446 | − | 5.96732i | 1.84870 | − | 0.421954i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.0544 | + | 20.8781i | 0.707424 | + | 1.46898i | ||||
\(203\) | −0.575863 | − | 7.08432i | −0.0404176 | − | 0.497222i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.5026 | + | 14.4239i | 0.803380 | + | 1.00741i | ||||
\(206\) | −10.8913 | + | 5.24498i | −0.758834 | + | 0.365435i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −83.1137 | − | 18.9702i | −5.76290 | − | 1.31534i | ||||
\(209\) | −9.93666 | + | 12.4602i | −0.687333 | + | 0.861888i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.59686 | + | 2.00239i | 0.109932 | + | 0.137851i | 0.833753 | − | 0.552137i | \(-0.186187\pi\) |
−0.723821 | + | 0.689987i | \(0.757616\pi\) | |||||||
\(212\) | −22.0650 | − | 45.8185i | −1.51543 | − | 3.14683i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 9.17385 | 0.627112 | ||||||||
\(215\) | −2.13570 | −0.145653 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −17.9976 | + | 5.67612i | −1.22176 | + | 0.385320i | ||||
\(218\) | −32.3228 | + | 7.37747i | −2.18918 | + | 0.499665i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 21.9876 | − | 17.5345i | 1.48240 | − | 1.18218i | ||||
\(221\) | −0.329076 | + | 0.262429i | −0.0221360 | + | 0.0176529i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.80139 | − | 2.23710i | 0.656350 | − | 0.149808i | 0.118640 | − | 0.992937i | \(-0.462147\pi\) |
0.537710 | + | 0.843130i | \(0.319290\pi\) | |||||||
\(224\) | 4.59903 | + | 56.5777i | 0.307285 | + | 3.78025i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −38.8683 | −2.58548 | ||||||||
\(227\) | −8.61559 | −0.571837 | −0.285918 | − | 0.958254i | \(-0.592299\pi\) | ||||
−0.285918 | + | 0.958254i | \(0.592299\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.485330 | − | 1.00780i | −0.0320715 | − | 0.0665971i | 0.884318 | − | 0.466886i | \(-0.154624\pi\) |
−0.916389 | + | 0.400289i | \(0.868910\pi\) | |||||||
\(230\) | −4.50952 | − | 5.65476i | −0.297349 | − | 0.372864i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −15.7408 | + | 19.7383i | −1.03343 | + | 1.29589i | ||||
\(233\) | 22.2452 | + | 5.07733i | 1.45733 | + | 0.332627i | 0.876503 | − | 0.481397i | \(-0.159870\pi\) |
0.580831 | + | 0.814024i | \(0.302728\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.3737 | + | 5.95887i | −0.807172 | + | 0.388714i | ||||
\(236\) | −0.403898 | − | 0.506472i | −0.0262915 | − | 0.0329685i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.436274 | + | 0.293432i | 0.0282795 | + | 0.0190204i | ||||
\(239\) | −6.59530 | − | 13.6953i | −0.426614 | − | 0.885874i | −0.997878 | − | 0.0651074i | \(-0.979261\pi\) |
0.571264 | − | 0.820766i | \(-0.306453\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.66449 | − | 1.06464i | 0.300466 | − | 0.0685795i | −0.0696299 | − | 0.997573i | \(-0.522182\pi\) |
0.370096 | + | 0.928993i | \(0.379325\pi\) | |||||||
\(242\) | −1.69467 | + | 3.51902i | −0.108937 | + | 0.226211i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 17.8772i | 1.14447i | ||||||||
\(245\) | −10.1208 | + | 1.65633i | −0.646596 | + | 0.105819i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 16.2864 | − | 20.4224i | 1.03628 | − | 1.29945i | ||||
\(248\) | 60.3927 | + | 29.0836i | 3.83494 | + | 1.84681i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 13.6211 | − | 28.2844i | 0.861472 | − | 1.78887i | ||||
\(251\) | 8.64206 | − | 4.16179i | 0.545482 | − | 0.262690i | −0.140785 | − | 0.990040i | \(-0.544963\pi\) |
0.686267 | + | 0.727350i | \(0.259248\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.74782 | + | 2.76800i | 0.361362 | + | 0.174023i | ||||
\(254\) | −40.8529 | + | 32.5791i | −2.56334 | + | 2.04419i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 25.5594 | − | 32.0504i | 1.59746 | − | 2.00315i | ||||
\(257\) | −1.20901 | + | 5.29704i | −0.0754162 | + | 0.330420i | −0.998536 | − | 0.0540927i | \(-0.982773\pi\) |
0.923120 | + | 0.384513i | \(0.125631\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −15.7656 | + | 1.28154i | −0.979627 | + | 0.0796309i | ||||
\(260\) | −36.0380 | + | 28.7394i | −2.23498 | + | 1.78234i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −34.9657 | − | 7.98068i | −2.16019 | − | 0.493048i | ||||
\(263\) | − | 15.2273i | − | 0.938953i | −0.882945 | − | 0.469476i | \(-0.844443\pi\) | ||
0.882945 | − | 0.469476i | \(-0.155557\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −13.3418 | − | 3.04519i | −0.819582 | − | 0.187064i | ||||
\(266\) | −30.4486 | − | 11.7290i | −1.86692 | − | 0.719154i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.00388 | + | 30.6860i | 0.427830 | + | 1.87445i | ||||
\(269\) | 2.44899 | + | 3.07094i | 0.149318 | + | 0.187238i | 0.850865 | − | 0.525385i | \(-0.176079\pi\) |
−0.701547 | + | 0.712623i | \(0.747507\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.2419 | − | 5.30480i | 1.41184 | − | 0.322244i | 0.552444 | − | 0.833550i | \(-0.313695\pi\) |
0.859398 | + | 0.511307i | \(0.170838\pi\) | |||||||
\(272\) | −0.239090 | − | 1.04752i | −0.0144970 | − | 0.0635154i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.14042 | + | 9.37778i | −0.129307 | + | 0.566533i | ||||
\(275\) | 10.0613i | 0.606717i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.283943 | + | 1.24404i | −0.0170605 | + | 0.0747470i | −0.982742 | − | 0.184984i | \(-0.940777\pi\) |
0.965681 | + | 0.259731i | \(0.0836339\pi\) | |||||||
\(278\) | 28.1826 | − | 13.5720i | 1.69028 | − | 0.813996i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 30.2263 | + | 20.3298i | 1.80637 | + | 1.21494i | ||||
\(281\) | 3.91830 | + | 3.12474i | 0.233746 | + | 0.186406i | 0.733357 | − | 0.679844i | \(-0.237952\pi\) |
−0.499611 | + | 0.866250i | \(0.666524\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.6385 | + | 10.0788i | 0.751279 | + | 0.599125i | 0.922450 | − | 0.386116i | \(-0.126184\pi\) |
−0.171171 | + | 0.985241i | \(0.554755\pi\) | |||||||
\(284\) | 0.211352 | + | 0.438878i | 0.0125415 | + | 0.0260426i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 24.1209 | − | 50.0877i | 1.42630 | − | 2.96174i | ||||
\(287\) | 4.75764 | − | 32.9751i | 0.280835 | − | 1.94646i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 15.3117 | + | 7.37372i | 0.900688 | + | 0.433748i | ||||
\(290\) | 2.38957 | + | 10.4694i | 0.140321 | + | 0.614784i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 18.6914 | + | 14.9059i | 1.09383 | + | 0.872303i | ||||
\(293\) | 20.4628 | 1.19545 | 0.597726 | − | 0.801701i | \(-0.296071\pi\) | ||||
0.597726 | + | 0.801701i | \(0.296071\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.174323 | −0.0101495 | ||||||||
\(296\) | 43.9262 | + | 35.0299i | 2.55316 | + | 2.03607i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −7.58556 | − | 33.2345i | −0.439420 | − | 1.92522i | ||||
\(299\) | −9.42077 | − | 4.53681i | −0.544817 | − | 0.262370i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.64110 | + | 2.81066i | 0.152231 | + | 0.162004i | ||||
\(302\) | −24.7268 | + | 51.3458i | −1.42287 | + | 2.95462i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 28.9319 | + | 60.0777i | 1.65936 | + | 3.44569i | ||||
\(305\) | 3.76118 | + | 2.99944i | 0.215365 | + | 0.171748i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.25444 | − | 1.79785i | −0.128667 | − | 0.102609i | 0.557042 | − | 0.830485i | \(-0.311936\pi\) |
−0.685709 | + | 0.727876i | \(0.740508\pi\) | |||||||
\(308\) | −50.2669 | − | 7.25249i | −2.86422 | − | 0.413249i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 25.6884 | − | 12.3709i | 1.45900 | − | 0.702618i | ||||
\(311\) | 6.09451 | − | 26.7018i | 0.345588 | − | 1.51412i | −0.441490 | − | 0.897266i | \(-0.645550\pi\) |
0.787078 | − | 0.616854i | \(-0.211593\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 24.6969i | 1.39595i | 0.716121 | + | 0.697976i | \(0.245916\pi\) | ||||
−0.716121 | + | 0.697976i | \(0.754084\pi\) | |||||||
\(314\) | 7.01556 | − | 30.7372i | 0.395911 | − | 1.73460i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.50424 | − | 15.3531i | −0.197129 | − | 0.863678i | ||||
\(317\) | 14.6984 | − | 3.35481i | 0.825544 | − | 0.188425i | 0.211180 | − | 0.977447i | \(-0.432269\pi\) |
0.614365 | + | 0.789022i | \(0.289412\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.90569 | − | 7.40550i | −0.330655 | − | 0.414628i | ||||
\(320\) | −9.46528 | − | 41.4701i | −0.529125 | − | 2.31825i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.86520 | + | 12.9276i | −0.103943 | + | 0.720429i | ||||
\(323\) | 0.320965 | + | 0.0732582i | 0.0178590 | + | 0.00407620i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 16.4906i | − | 0.914733i | ||||||
\(326\) | 24.4034 | + | 5.56993i | 1.35158 | + | 0.308490i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −92.5216 | + | 73.7835i | −5.10865 | + | 4.07401i | ||||
\(329\) | 23.1440 | + | 8.91526i | 1.27597 | + | 0.491514i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.13342 | + | 13.7284i | −0.172228 | + | 0.754582i | 0.812850 | + | 0.582474i | \(0.197915\pi\) |
−0.985078 | + | 0.172108i | \(0.944942\pi\) | |||||||
\(332\) | −1.36872 | + | 1.71633i | −0.0751185 | + | 0.0941956i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −45.1828 | + | 36.0321i | −2.47229 | + | 1.97159i | ||||
\(335\) | 7.63115 | + | 3.67497i | 0.416934 | + | 0.200785i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.80007 | + | 0.866866i | −0.0980558 | + | 0.0472212i | −0.482269 | − | 0.876023i | \(-0.660187\pi\) |
0.384213 | + | 0.923245i | \(0.374473\pi\) | |||||||
\(338\) | −24.1450 | + | 50.1375i | −1.31331 | + | 2.72712i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.523418 | − | 0.252065i | −0.0283863 | − | 0.0136701i | ||||
\(341\) | −15.6801 | + | 19.6622i | −0.849123 | + | 1.06477i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 14.6957 | + | 11.2711i | 0.793491 | + | 0.608582i | ||||
\(344\) | − | 13.6994i | − | 0.738621i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.45744 | + | 15.4855i | −0.400915 | + | 0.832508i | ||||
\(347\) | −20.7078 | + | 4.72642i | −1.11165 | + | 0.253728i | −0.738641 | − | 0.674099i | \(-0.764532\pi\) |
−0.373012 | + | 0.927826i | \(0.621675\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.81637 | − | 14.1543i | −0.364872 | − | 0.757664i | 0.635018 | − | 0.772497i | \(-0.280993\pi\) |
−0.999890 | + | 0.0148331i | \(0.995278\pi\) | |||||||
\(350\) | −19.6454 | + | 6.19581i | −1.05009 | + | 0.331180i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 47.1648 | + | 59.1427i | 2.51389 | + | 3.15232i | ||||
\(353\) | 13.6112 | − | 6.55479i | 0.724449 | − | 0.348876i | −0.0350491 | − | 0.999386i | \(-0.511159\pi\) |
0.759498 | + | 0.650509i | \(0.225444\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.127796 | + | 0.0291687i | 0.00678273 | + | 0.00154811i | ||||
\(356\) | 37.4775 | − | 46.9953i | 1.98631 | − | 2.49075i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −17.9696 | − | 22.5332i | −0.949723 | − | 1.19091i | ||||
\(359\) | 0.547033 | + | 1.13592i | 0.0288713 | + | 0.0599518i | 0.914906 | − | 0.403668i | \(-0.132265\pi\) |
−0.886034 | + | 0.463619i | \(0.846550\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.43137 | −0.0753354 | ||||||||
\(362\) | −39.8775 | −2.09592 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 82.3883 | + | 11.8870i | 4.31832 | + | 0.623046i | ||||
\(365\) | 6.27211 | − | 1.43157i | 0.328297 | − | 0.0749318i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.88746 | − | 5.49257i | 0.359523 | − | 0.286710i | −0.427024 | − | 0.904240i | \(-0.640438\pi\) |
0.786547 | + | 0.617530i | \(0.211867\pi\) | |||||||
\(368\) | 20.8689 | − | 16.6424i | 1.08786 | − | 0.867543i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 23.2988 | − | 5.31781i | 1.21125 | − | 0.276460i | ||||
\(371\) | 12.4915 | + | 21.3242i | 0.648529 | + | 1.10710i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 22.5978 | 1.17007 | 0.585036 | − | 0.811008i | \(-0.301081\pi\) | ||||
0.585036 | + | 0.811008i | \(0.301081\pi\) | |||||||
\(374\) | 0.700667 | 0.0362306 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −38.2230 | − | 79.3709i | −1.97120 | − | 4.09324i | ||||
\(377\) | 9.67953 | + | 12.1377i | 0.498521 | + | 0.625126i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.280801 | − | 0.352114i | 0.0144238 | − | 0.0180869i | −0.774567 | − | 0.632492i | \(-0.782032\pi\) |
0.788991 | + | 0.614405i | \(0.210604\pi\) | |||||||
\(380\) | 35.1498 | + | 8.02272i | 1.80315 | + | 0.411557i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −8.37066 | + | 4.03110i | −0.428280 | + | 0.206249i | ||||
\(383\) | 11.2565 | + | 14.1152i | 0.575180 | + | 0.721253i | 0.981282 | − | 0.192575i | \(-0.0616838\pi\) |
−0.406102 | + | 0.913828i | \(0.633112\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.95966 | + | 9.35884i | −0.507592 | + | 0.476971i | ||||
\(386\) | −32.1001 | − | 66.6566i | −1.63385 | − | 3.39273i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 78.2893 | − | 17.8690i | 3.97453 | − | 0.907162i | ||||
\(389\) | −0.724287 | + | 1.50400i | −0.0367228 | + | 0.0762557i | −0.918523 | − | 0.395367i | \(-0.870617\pi\) |
0.881800 | + | 0.471623i | \(0.156332\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 0.131786i | − | 0.00666468i | ||||||
\(392\) | −10.6245 | − | 64.9198i | −0.536617 | − | 3.27894i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 17.2823 | − | 21.6713i | 0.870670 | − | 1.09179i | ||||
\(395\) | −3.81808 | − | 1.83869i | −0.192108 | − | 0.0925145i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.34201 | + | 6.93975i | −0.167731 | + | 0.348296i | −0.967843 | − | 0.251553i | \(-0.919059\pi\) |
0.800113 | + | 0.599849i | \(0.204773\pi\) | |||||||
\(398\) | −4.36697 | + | 2.10302i | −0.218896 | + | 0.105415i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 37.9275 | + | 18.2649i | 1.89638 | + | 0.913247i | ||||
\(401\) | 0.0933946 | − | 0.0744797i | 0.00466390 | − | 0.00371934i | −0.621155 | − | 0.783688i | \(-0.713336\pi\) |
0.625819 | + | 0.779968i | \(0.284765\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 25.6999 | − | 32.2267i | 1.28020 | − | 1.60532i | ||||
\(404\) | −10.2893 | + | 45.0803i | −0.511911 | + | 2.24283i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 10.8231 | − | 16.0917i | 0.537140 | − | 0.798618i | ||||
\(407\) | −16.4804 | + | 13.1427i | −0.816901 | + | 0.651457i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.45967 | − | 1.93086i | −0.418304 | − | 0.0954751i | 0.00818811 | − | 0.999966i | \(-0.497394\pi\) |
−0.426492 | + | 0.904491i | \(0.640251\pi\) | |||||||
\(410\) | 50.3363i | 2.48593i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −23.5166 | − | 5.36752i | −1.15858 | − | 0.264438i | ||||
\(413\) | 0.215576 | + | 0.229415i | 0.0106078 | + | 0.0112888i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.131453 | + | 0.575932i | 0.00645276 | + | 0.0282714i | ||||
\(416\) | −77.3038 | − | 96.9360i | −3.79013 | − | 4.75268i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −42.3932 | + | 9.67598i | −2.07352 | + | 0.473267i | ||||
\(419\) | 4.97988 | + | 21.8183i | 0.243283 | + | 1.06589i | 0.938007 | + | 0.346616i | \(0.112669\pi\) |
−0.694724 | + | 0.719276i | \(0.744473\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.38186 | + | 14.8169i | −0.164822 | + | 0.722131i | 0.823192 | + | 0.567764i | \(0.192191\pi\) |
−0.988013 | + | 0.154368i | \(0.950666\pi\) | |||||||
\(422\) | 6.98795i | 0.340168i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 19.5333 | − | 85.5809i | 0.948620 | − | 4.15618i | ||||
\(425\) | 0.187256 | − | 0.0901780i | 0.00908327 | − | 0.00437427i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.703872 | − | 8.65910i | −0.0340628 | − | 0.419043i | ||||
\(428\) | 14.3119 | + | 11.4134i | 0.691791 | + | 0.551685i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.55581 | − | 3.63314i | −0.219701 | − | 0.175206i | ||||
\(431\) | −10.0936 | − | 20.9597i | −0.486193 | − | 1.00959i | −0.989372 | − | 0.145408i | \(-0.953550\pi\) |
0.503178 | − | 0.864183i | \(-0.332164\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.12640 | − | 8.56856i | 0.198302 | − | 0.411779i | −0.777977 | − | 0.628292i | \(-0.783754\pi\) |
0.976280 | + | 0.216513i | \(0.0694685\pi\) | |||||||
\(434\) | −48.0479 | − | 18.5085i | −2.30637 | − | 0.888435i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −59.6044 | − | 28.7039i | −2.85453 | − | 1.37467i | ||||
\(437\) | 1.81991 | + | 7.97356i | 0.0870583 | + | 0.381427i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.45640 | + | 1.16144i | 0.0695101 | + | 0.0554325i | 0.657629 | − | 0.753342i | \(-0.271560\pi\) |
−0.588118 | + | 0.808775i | \(0.700131\pi\) | |||||||
\(440\) | 48.5443 | 2.31426 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.14841 | −0.0546241 | ||||||||
\(443\) | 21.6172 | + | 17.2392i | 1.02707 | + | 0.819057i | 0.983667 | − | 0.180000i | \(-0.0576099\pi\) |
0.0433990 | + | 0.999058i | \(0.486181\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.59936 | − | 15.7698i | −0.170626 | − | 0.747561i | ||||
\(446\) | 24.7137 | + | 11.9015i | 1.17023 | + | 0.563552i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −42.8710 | + | 63.7405i | −2.02546 | + | 3.01146i | ||||
\(449\) | 1.12501 | − | 2.33611i | 0.0530926 | − | 0.110248i | −0.872735 | − | 0.488195i | \(-0.837656\pi\) |
0.925827 | + | 0.377947i | \(0.123370\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −19.2640 | − | 40.0021i | −0.907107 | − | 1.88363i | ||||
\(452\) | −60.6374 | − | 48.3567i | −2.85214 | − | 2.27451i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −18.3785 | − | 14.6564i | −0.862548 | − | 0.687859i | ||||
\(455\) | 16.3241 | − | 15.3393i | 0.765284 | − | 0.719117i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.3537 | + | 8.35711i | −0.811773 | + | 0.390929i | −0.793248 | − | 0.608899i | \(-0.791611\pi\) |
−0.0185252 | + | 0.999828i | \(0.505897\pi\) | |||||||
\(458\) | 0.679121 | − | 2.97542i | 0.0317333 | − | 0.139032i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 14.4322i | − | 0.672906i | ||||||
\(461\) | 2.93845 | − | 12.8742i | 0.136857 | − | 0.599610i | −0.859258 | − | 0.511543i | \(-0.829074\pi\) |
0.996115 | − | 0.0880666i | \(-0.0280688\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.06271 | + | 22.1812i | 0.235284 | + | 1.03085i | 0.945182 | + | 0.326543i | \(0.105884\pi\) |
−0.709898 | + | 0.704304i | \(0.751259\pi\) | |||||||
\(464\) | −38.6372 | + | 8.81870i | −1.79369 | + | 0.409398i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 38.8157 | + | 48.6733i | 1.79810 | + | 2.25475i | ||||
\(467\) | −2.10430 | − | 9.21953i | −0.0973753 | − | 0.426629i | 0.902617 | − | 0.430444i | \(-0.141643\pi\) |
−0.999993 | + | 0.00381464i | \(0.998786\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.60063 | − | 14.5875i | −0.212438 | − | 0.673589i | ||||
\(470\) | −36.5322 | − | 8.33824i | −1.68511 | − | 0.384614i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 1.11819i | − | 0.0514689i | ||||||
\(473\) | 5.01092 | + | 1.14371i | 0.230402 | + | 0.0525878i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.0844 | + | 8.04208i | −0.462706 | + | 0.368996i | ||||
\(476\) | 0.315556 | + | 1.00055i | 0.0144635 | + | 0.0458602i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.22879 | − | 40.4340i | 0.422115 | − | 1.84941i | ||||
\(479\) | 17.2516 | − | 21.6328i | 0.788246 | − | 0.988429i | −0.211693 | − | 0.977336i | \(-0.567898\pi\) |
0.999938 | − | 0.0110924i | \(-0.00353089\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 27.0116 | − | 21.5410i | 1.23162 | − | 0.982187i | ||||
\(482\) | 11.7613 | + | 5.66393i | 0.535712 | + | 0.257985i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.02187 | + | 3.38156i | −0.319176 | + | 0.153707i | ||||
\(485\) | 9.37595 | − | 19.4694i | 0.425740 | − | 0.884058i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 35.6076 | + | 17.1477i | 1.61353 | + | 0.777037i | 0.999921 | − | 0.0125691i | \(-0.00400099\pi\) |
0.613614 | + | 0.789606i | \(0.289715\pi\) | |||||||
\(488\) | −19.2399 | + | 24.1260i | −0.870947 | + | 1.09213i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −24.4071 | − | 13.6838i | −1.10260 | − | 0.618171i | ||||
\(491\) | − | 8.27699i | − | 0.373535i | −0.982404 | − | 0.186768i | \(-0.940199\pi\) | ||
0.982404 | − | 0.186768i | \(-0.0598012\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.0848964 | + | 0.176289i | −0.00382354 | + | 0.00793966i | ||||
\(494\) | 69.4832 | − | 15.8591i | 3.12620 | − | 0.713534i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 45.6546 | + | 94.8027i | 2.04995 | + | 4.25677i | ||||
\(497\) | −0.119652 | − | 0.204256i | −0.00536711 | − | 0.00916214i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.45628 | − | 4.33403i | −0.154724 | − | 0.194018i | 0.698428 | − | 0.715681i | \(-0.253883\pi\) |
−0.853152 | + | 0.521663i | \(0.825312\pi\) | |||||||
\(500\) | 56.4390 | − | 27.1796i | 2.52403 | − | 1.21551i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 25.5148 | + | 5.82359i | 1.13878 | + | 0.259920i | ||||
\(503\) | 14.2223 | − | 17.8342i | 0.634141 | − | 0.795187i | −0.356116 | − | 0.934442i | \(-0.615899\pi\) |
0.990257 | + | 0.139255i | \(0.0444706\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.75810 | + | 9.72835i | 0.345231 | + | 0.432906i | ||||
\(506\) | 7.55231 | + | 15.6825i | 0.335741 | + | 0.697173i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −104.266 | −4.62604 | ||||||||
\(509\) | 10.5120 | 0.465936 | 0.232968 | − | 0.972484i | \(-0.425156\pi\) | ||||
0.232968 | + | 0.972484i | \(0.425156\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.64038 | − | 6.48399i | −0.426465 | − | 0.286835i | ||||
\(512\) | 38.2512 | − | 8.73059i | 1.69048 | − | 0.385841i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −11.5901 | + | 9.24278i | −0.511217 | + | 0.407682i | ||||
\(515\) | −5.07490 | + | 4.04710i | −0.223627 | + | 0.178337i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 32.2231 | − | 7.35472i | 1.41717 | − | 0.323460i | ||||
\(518\) | −35.8108 | − | 24.0859i | −1.57344 | − | 1.05827i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −79.5649 | −3.48915 | ||||||||
\(521\) | −10.3652 | −0.454108 | −0.227054 | − | 0.973882i | \(-0.572909\pi\) | ||||
−0.227054 | + | 0.973882i | \(0.572909\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −15.5673 | − | 32.3258i | −0.680710 | − | 1.41351i | −0.899142 | − | 0.437657i | \(-0.855808\pi\) |
0.218432 | − | 0.975852i | \(-0.429906\pi\) | |||||||
\(524\) | −44.6201 | − | 55.9518i | −1.94924 | − | 2.44427i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 25.9038 | − | 32.4824i | 1.12946 | − | 1.41630i | ||||
\(527\) | 0.506484 | + | 0.115602i | 0.0220628 | + | 0.00503569i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.7726 | + | 8.55884i | −0.772723 | + | 0.372124i | ||||
\(530\) | −23.2801 | − | 29.1924i | −1.01122 | − | 1.26804i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −32.9097 | − | 56.1798i | −1.42682 | − | 2.43570i | ||||
\(533\) | 31.5741 | + | 65.5642i | 1.36762 | + | 2.83990i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.80251 | − | 1.09614i | 0.207631 | − | 0.0473904i | ||||
\(536\) | −23.5730 | + | 48.9498i | −1.01820 | + | 2.11431i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.7169i | 0.462040i | ||||||||
\(539\) | 24.6332 | + | 1.53372i | 1.06103 | + | 0.0660621i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.39539 | − | 4.25769i | 0.145979 | − | 0.183052i | −0.703466 | − | 0.710729i | \(-0.748365\pi\) |
0.849445 | + | 0.527677i | \(0.176937\pi\) | |||||||
\(542\) | 58.6032 | + | 28.2218i | 2.51722 | + | 1.21223i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.678010 | − | 1.40790i | 0.0290694 | − | 0.0603633i | ||||
\(545\) | −16.0395 | + | 7.72421i | −0.687056 | + | 0.330869i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.43439 | − | 3.09864i | −0.275115 | − | 0.132488i | 0.291240 | − | 0.956650i | \(-0.405932\pi\) |
−0.566354 | + | 0.824162i | \(0.691647\pi\) | |||||||
\(548\) | −15.0063 | + | 11.9671i | −0.641036 | + | 0.511209i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −17.1157 | + | 21.4624i | −0.729816 | + | 0.915160i | ||||
\(551\) | 2.70208 | − | 11.8386i | 0.115113 | − | 0.504341i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.30183 | + | 7.29854i | 0.0978836 | + | 0.310366i | ||||
\(554\) | −2.72199 | + | 2.17072i | −0.115646 | + | 0.0922250i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 60.8521 | + | 13.8891i | 2.58070 | + | 0.589029i | ||||
\(557\) | − | 38.5139i | − | 1.63189i | −0.578131 | − | 0.815944i | \(-0.696218\pi\) | ||
0.578131 | − | 0.815944i | \(-0.303782\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.21298 | − | 1.87456i | −0.347372 | − | 0.0792854i | ||||
\(560\) | 17.1991 | + | 54.5343i | 0.726796 | + | 2.30450i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.04276 | + | 13.3312i | 0.128351 | + | 0.562343i | ||||
\(563\) | 22.1754 | + | 27.8071i | 0.934582 | + | 1.17193i | 0.984888 | + | 0.173195i | \(0.0554090\pi\) |
−0.0503056 | + | 0.998734i | \(0.516020\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −20.3476 | + | 4.64420i | −0.856028 | + | 0.195383i | ||||
\(566\) | 9.81443 | + | 42.9998i | 0.412531 | + | 1.80742i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.187102 | + | 0.819747i | −0.00785062 | + | 0.0343958i | ||||
\(569\) | − | 17.9670i | − | 0.753215i | −0.926373 | − | 0.376607i | \(-0.877091\pi\) | ||
0.926373 | − | 0.376607i | \(-0.122909\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.78530 | + | 7.82192i | −0.0747125 | + | 0.327337i | −0.998448 | − | 0.0556944i | \(-0.982263\pi\) |
0.923735 | + | 0.383031i | \(0.125120\pi\) | |||||||
\(572\) | 99.9453 | − | 48.1311i | 4.17892 | − | 2.01246i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 66.2445 | − | 62.2482i | 2.76499 | − | 2.59819i | ||||
\(575\) | 4.03677 | + | 3.21922i | 0.168345 | + | 0.134251i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 24.0467 | + | 19.1766i | 1.00108 | + | 0.798334i | 0.979502 | − | 0.201433i | \(-0.0645599\pi\) |
0.0215767 | + | 0.999767i | \(0.493131\pi\) | |||||||
\(578\) | 20.1187 | + | 41.7769i | 0.836827 | + | 1.73769i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −9.29725 | + | 19.3059i | −0.386047 | + | 0.801636i | ||||
\(581\) | 0.595388 | − | 0.885221i | 0.0247008 | − | 0.0367252i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 29.6728 | + | 14.2896i | 1.22892 | + | 0.591817i | ||||
\(584\) | 9.18277 | + | 40.2323i | 0.379986 | + | 1.66483i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 43.6508 | + | 34.8103i | 1.80320 | + | 1.43800i | ||||
\(587\) | −40.1365 | −1.65661 | −0.828305 | − | 0.560277i | \(-0.810694\pi\) | ||||
−0.828305 | + | 0.560277i | \(0.810694\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −32.2408 | −1.32846 | ||||||||
\(590\) | −0.371861 | − | 0.296549i | −0.0153093 | − | 0.0122087i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 19.6253 | + | 85.9842i | 0.806596 | + | 3.53393i | ||||
\(593\) | −5.84985 | − | 2.81714i | −0.240224 | − | 0.115686i | 0.309899 | − | 0.950770i | \(-0.399705\pi\) |
−0.550123 | + | 0.835084i | \(0.685419\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.263451 | + | 0.101483i | 0.0108004 | + | 0.00416041i | ||||
\(596\) | 29.5136 | − | 61.2856i | 1.20892 | − | 2.51036i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −12.3784 | − | 25.7039i | −0.506189 | − | 1.05111i | ||||
\(599\) | −17.3733 | − | 13.8548i | −0.709855 | − | 0.566090i | 0.200613 | − | 0.979671i | \(-0.435707\pi\) |
−0.910468 | + | 0.413580i | \(0.864278\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.77391 | + | 1.41465i | 0.0723593 | + | 0.0577046i | 0.659001 | − | 0.752142i | \(-0.270979\pi\) |
−0.586642 | + | 0.809846i | \(0.699551\pi\) | |||||||
\(602\) | 0.852580 | + | 10.4885i | 0.0347486 | + | 0.427480i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −102.456 | + | 49.3401i | −4.16887 | + | 2.00762i | ||||
\(605\) | −0.466688 | + | 2.04469i | −0.0189736 | + | 0.0831286i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.1437i | 0.452309i | 0.974091 | + | 0.226155i | \(0.0726154\pi\) | ||||
−0.974091 | + | 0.226155i | \(0.927385\pi\) | |||||||
\(608\) | −21.5797 | + | 94.5469i | −0.875173 | + | 3.83438i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.92075 | + | 12.7967i | 0.118258 | + | 0.518122i | ||||
\(611\) | −52.8143 | + | 12.0545i | −2.13664 | + | 0.487674i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.0330 | + | 16.3429i | 0.526399 | + | 0.660084i | 0.971954 | − | 0.235171i | \(-0.0755650\pi\) |
−0.445555 | + | 0.895255i | \(0.646994\pi\) | |||||||
\(614\) | −1.75069 | − | 7.67026i | −0.0706520 | − | 0.309547i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −60.0320 | − | 63.8860i | −2.41876 | − | 2.57404i | ||||
\(617\) | 38.9482 | + | 8.88967i | 1.56799 | + | 0.357884i | 0.916267 | − | 0.400569i | \(-0.131187\pi\) |
0.651728 | + | 0.758453i | \(0.274045\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.9056i | 1.24220i | 0.783730 | + | 0.621101i | \(0.213315\pi\) | ||||
−0.783730 | + | 0.621101i | \(0.786685\pi\) | |||||||
\(620\) | 55.4665 | + | 12.6599i | 2.22759 | + | 0.508433i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 58.4244 | − | 46.5919i | 2.34260 | − | 1.86816i | ||||
\(623\) | −16.3025 | + | 24.2386i | −0.653147 | + | 0.971097i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.576143 | − | 2.52425i | 0.0230457 | − | 0.100970i | ||||
\(626\) | −42.0131 | + | 52.6828i | −1.67918 | + | 2.10563i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 49.1854 | − | 39.2241i | 1.96271 | − | 1.56521i | ||||
\(629\) | 0.392318 | + | 0.188930i | 0.0156427 | + | 0.00753314i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 37.0455 | − | 17.8402i | 1.47476 | − | 0.710207i | 0.488068 | − | 0.872806i | \(-0.337702\pi\) |
0.986692 | + | 0.162599i | \(0.0519877\pi\) | |||||||
\(632\) | 11.7942 | − | 24.4910i | 0.469149 | − | 0.974199i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 37.0613 | + | 17.8478i | 1.47189 | + | 0.708825i | ||||
\(635\) | −17.4938 | + | 21.9365i | −0.694219 | + | 0.870523i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −40.3742 | − | 2.51380i | −1.59968 | − | 0.0996002i | ||||
\(638\) | − | 25.8437i | − | 1.02316i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 23.0794 | − | 47.9248i | 0.912293 | − | 1.89440i | ||||
\(641\) | −9.56366 | + | 2.18284i | −0.377742 | + | 0.0862171i | −0.407176 | − | 0.913350i | \(-0.633487\pi\) |
0.0294344 | + | 0.999567i | \(0.490629\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.92252 | + | 12.2982i | 0.233561 | + | 0.484995i | 0.984502 | − | 0.175375i | \(-0.0561138\pi\) |
−0.750940 | + | 0.660370i | \(0.770399\pi\) | |||||||
\(644\) | −18.9933 | + | 17.8475i | −0.748442 | + | 0.703292i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.560051 | + | 0.702282i | 0.0220349 | + | 0.0276309i | ||||
\(647\) | 11.6891 | − | 5.62917i | 0.459546 | − | 0.221306i | −0.189764 | − | 0.981830i | \(-0.560772\pi\) |
0.649310 | + | 0.760524i | \(0.275058\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.409008 | + | 0.0933534i | 0.0160550 | + | 0.00366444i | ||||
\(650\) | 28.0529 | − | 35.1773i | 1.10033 | − | 1.37977i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 31.1415 | + | 39.0502i | 1.21960 | + | 1.52932i | ||||
\(653\) | −1.93538 | − | 4.01886i | −0.0757374 | − | 0.157270i | 0.859662 | − | 0.510863i | \(-0.170674\pi\) |
−0.935399 | + | 0.353593i | \(0.884960\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −19.2581 | −0.752476 | ||||||||
\(656\) | −185.766 | −7.25294 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 34.2040 | + | 58.3892i | 1.33341 | + | 2.27625i | ||||
\(659\) | −30.2786 | + | 6.91089i | −1.17949 | + | 0.269210i | −0.766935 | − | 0.641724i | \(-0.778219\pi\) |
−0.412551 | + | 0.910934i | \(0.635362\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.1178 | − | 9.66364i | 0.471329 | − | 0.375872i | −0.358827 | − | 0.933404i | \(-0.616823\pi\) |
0.830155 | + | 0.557532i | \(0.188252\pi\) | |||||||
\(662\) | −30.0382 | + | 23.9547i | −1.16747 | + | 0.931025i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.69431 | + | 0.843201i | −0.143367 | + | 0.0327225i | ||||
\(665\) | −17.3413 | − | 2.50199i | −0.672466 | − | 0.0970232i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.86083 | −0.188212 | ||||||||
\(668\) | −115.317 | −4.46174 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 10.0269 | + | 20.8211i | 0.387373 | + | 0.804388i | ||||
\(671\) | −7.21848 | − | 9.05168i | −0.278666 | − | 0.349436i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.35420 | − | 5.46000i | 0.167842 | − | 0.210467i | −0.690796 | − | 0.723050i | \(-0.742740\pi\) |
0.858638 | + | 0.512582i | \(0.171311\pi\) | |||||||
\(674\) | −5.31452 | − | 1.21300i | −0.204708 | − | 0.0467232i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −100.045 | + | 48.1791i | −3.84788 | + | 1.85304i | ||||
\(677\) | 16.8312 | + | 21.1057i | 0.646877 | + | 0.811158i | 0.991844 | − | 0.127457i | \(-0.0406814\pi\) |
−0.344967 | + | 0.938615i | \(0.612110\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −37.2171 | + | 11.7376i | −1.42826 | + | 0.450448i | ||||
\(680\) | −0.435097 | − | 0.903487i | −0.0166852 | − | 0.0346472i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −66.8966 | + | 15.2687i | −2.56160 | + | 0.584669i | ||||
\(683\) | −1.44083 | + | 2.99191i | −0.0551318 | + | 0.114482i | −0.926715 | − | 0.375766i | \(-0.877380\pi\) |
0.871583 | + | 0.490248i | \(0.163094\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.16502i | 0.197345i | ||||||||
\(686\) | 12.1746 | + | 49.0427i | 0.464828 | + | 1.87246i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 13.4081 | − | 16.8132i | 0.511178 | − | 0.640997i | ||||
\(689\) | −48.6342 | − | 23.4210i | −1.85281 | − | 0.892268i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13.0674 | − | 27.1348i | 0.497109 | − | 1.03226i | −0.489928 | − | 0.871763i | \(-0.662977\pi\) |
0.987037 | − | 0.160495i | \(-0.0513090\pi\) | |||||||
\(692\) | −30.9000 | + | 14.8806i | −1.17464 | + | 0.565677i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −52.2137 | − | 25.1448i | −1.98200 | − | 0.954483i | ||||
\(695\) | 13.1319 | − | 10.4724i | 0.498122 | − | 0.397239i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.571844 | + | 0.717069i | −0.0216601 | + | 0.0271609i | ||||
\(698\) | 9.53813 | − | 41.7893i | 0.361024 | − | 1.58175i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −38.3566 | − | 14.7753i | −1.44974 | − | 0.558454i | ||||
\(701\) | 38.2616 | − | 30.5126i | 1.44512 | − | 1.15244i | 0.484427 | − | 0.874831i | \(-0.339028\pi\) |
0.960693 | − | 0.277614i | \(-0.0895435\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −26.3459 | − | 6.01328i | −0.993654 | − | 0.226795i | ||||
\(704\) | 102.369i | 3.85817i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 40.1857 | + | 9.17211i | 1.51241 | + | 0.345197i | ||||
\(707\) | 3.20885 | − | 22.2405i | 0.120681 | − | 0.836439i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.52772 | − | 19.8372i | −0.170042 | − | 0.745003i | −0.985980 | − | 0.166864i | \(-0.946636\pi\) |
0.815938 | − | 0.578140i | \(-0.196221\pi\) | |||||||
\(710\) | 0.222991 | + | 0.279622i | 0.00836872 | + | 0.0104940i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 101.155 | − | 23.0880i | 3.79095 | − | 0.865259i | ||||
\(713\) | 2.87183 | + | 12.5823i | 0.107551 | + | 0.471211i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.64257 | − | 29.1030i | 0.248418 | − | 1.08839i | ||||
\(716\) | − | 57.5097i | − | 2.14924i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.765462 | + | 3.35371i | −0.0285668 | + | 0.125159i | ||||
\(719\) | −17.1150 | + | 8.24217i | −0.638283 | + | 0.307381i | −0.724893 | − | 0.688861i | \(-0.758111\pi\) |
0.0866100 | + | 0.996242i | \(0.472397\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.6020 | + | 1.67393i | 0.432081 | + | 0.0623405i | ||||
\(722\) | −3.05336 | − | 2.43498i | −0.113634 | − | 0.0906205i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −62.2119 | − | 49.6123i | −2.31209 | − | 1.84383i | ||||
\(725\) | −3.32616 | − | 6.90684i | −0.123530 | − | 0.256513i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.14524 | + | 6.53117i | −0.116651 | + | 0.242228i | −0.951117 | − | 0.308832i | \(-0.900062\pi\) |
0.834466 | + | 0.551059i | \(0.185776\pi\) | |||||||
\(728\) | 98.3936 | + | 104.710i | 3.64671 | + | 3.88082i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 15.8148 | + | 7.61602i | 0.585333 | + | 0.281881i | ||||
\(731\) | −0.0236260 | − | 0.103512i | −0.000873839 | − | 0.00382854i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 11.1482 | + | 8.89042i | 0.411770 | + | 0.328375i | 0.807368 | − | 0.590048i | \(-0.200891\pi\) |
−0.395598 | + | 0.918424i | \(0.629463\pi\) | |||||||
\(734\) | 24.0358 | 0.887179 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 38.8201 | 1.43093 | ||||||||
\(737\) | −15.9367 | − | 12.7091i | −0.587036 | − | 0.468145i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.0300 | − | 48.3255i | −0.405744 | − | 1.77768i | −0.603430 | − | 0.797416i | \(-0.706200\pi\) |
0.197686 | − | 0.980265i | \(-0.436657\pi\) | |||||||
\(740\) | 42.9639 | + | 20.6903i | 1.57938 | + | 0.760591i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −9.62895 | + | 66.7381i | −0.353490 | + | 2.45003i | ||||
\(743\) | 11.8289 | − | 24.5630i | 0.433962 | − | 0.901131i | −0.563234 | − | 0.826297i | \(-0.690443\pi\) |
0.997196 | − | 0.0748335i | \(-0.0238425\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.94209 | − | 16.4919i | −0.290976 | − | 0.604217i | ||||
\(746\) | 48.2051 | + | 38.4423i | 1.76491 | + | 1.40747i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.09309 | + | 0.871712i | 0.0399674 | + | 0.0318730i | ||||
\(749\) | −7.38157 | − | 4.96475i | −0.269717 | − | 0.181408i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 20.0306 | − | 9.64622i | 0.730926 | − | 0.351996i | −0.0311220 | − | 0.999516i | \(-0.509908\pi\) |
0.762048 | + | 0.647520i | \(0.224194\pi\) | |||||||
\(752\) | 30.7722 | − | 134.822i | 1.12215 | − | 4.91645i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 42.3582i | 1.54260i | ||||||||
\(755\) | −6.80942 | + | 29.8340i | −0.247820 | + | 1.08577i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8.60933 | + | 37.7200i | 0.312912 | + | 1.37096i | 0.849713 | + | 0.527246i | \(0.176775\pi\) |
−0.536801 | + | 0.843709i | \(0.680367\pi\) | |||||||
\(758\) | 1.19800 | − | 0.273435i | 0.0435132 | − | 0.00993159i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 38.8020 | + | 48.6561i | 1.40750 | + | 1.76494i | ||||
\(761\) | −0.614011 | − | 2.69016i | −0.0222579 | − | 0.0975181i | 0.962579 | − | 0.271002i | \(-0.0873548\pi\) |
−0.984837 | + | 0.173483i | \(0.944498\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 30.0005 | + | 11.5564i | 1.08609 | + | 0.418371i | ||||
\(764\) | −18.0740 | − | 4.12527i | −0.653894 | − | 0.149247i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 49.2591i | 1.77980i | ||||||||
\(767\) | −0.670371 | − | 0.153008i | −0.0242057 | − | 0.00552479i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.05593 | + | 5.62692i | −0.254443 | + | 0.202912i | −0.742402 | − | 0.669955i | \(-0.766313\pi\) |
0.487958 | + | 0.872867i | \(0.337742\pi\) | |||||||
\(770\) | −37.1665 | + | 3.02115i | −1.33939 | + | 0.108875i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 32.8501 | − | 143.926i | 1.18230 | − | 5.18000i | ||||
\(773\) | −30.1925 | + | 37.8602i | −1.08595 | + | 1.36174i | −0.158683 | + | 0.987330i | \(0.550725\pi\) |
−0.927265 | + | 0.374406i | \(0.877847\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.9133 | + | 12.6904i | −0.571622 | + | 0.455853i | ||||
\(776\) | 124.886 | + | 60.1418i | 4.48314 | + | 2.15897i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.10355 | + | 1.97617i | −0.147119 | + | 0.0708490i | ||||
\(779\) | 24.6964 | − | 51.2826i | 0.884840 | − | 1.83739i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.284224 | − | 0.136875i | −0.0101703 | − | 0.00489777i | ||||
\(782\) | 0.224187 | − | 0.281121i | 0.00801690 | − | 0.0100529i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 50.4999 | − | 90.0743i | 1.80357 | − | 3.21694i | ||||
\(785\) | − | 16.9292i | − | 0.604228i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.1796 | + | 27.3678i | −0.469803 | + | 0.975555i | 0.522606 | + | 0.852574i | \(0.324960\pi\) |
−0.992409 | + | 0.122981i | \(0.960755\pi\) | |||||||
\(788\) | 53.9234 | − | 12.3077i | 1.92094 | − | 0.438442i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.01674 | − | 10.4174i | −0.178488 | − | 0.370633i | ||||
\(791\) | 31.2747 | + | 21.0349i | 1.11200 | + | 0.747916i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 11.8312 | + | 14.8359i | 0.420138 | + | 0.526837i | ||||
\(794\) | −18.9346 | + | 9.11844i | −0.671965 | + | 0.323601i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.42919 | − | 2.15215i | −0.334209 | − | 0.0762810i | ||||
\(797\) | −24.2001 | + | 30.3459i | −0.857211 | + | 1.07491i | 0.139200 | + | 0.990264i | \(0.455547\pi\) |
−0.996411 | + | 0.0846444i | \(0.973025\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.425696 | − | 0.533806i | −0.0150600 | − | 0.0188847i | ||||
\(800\) | 26.5638 | + | 55.1602i | 0.939171 | + | 1.95021i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.325928 | 0.0115089 | ||||||||
\(803\) | −15.4827 | −0.546372 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.568235 | + | 6.99048i | 0.0200277 | + | 0.246382i | ||||
\(806\) | 109.645 | − | 25.0257i | 3.86207 | − | 0.881492i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −62.4023 | + | 49.7642i | −2.19531 | + | 1.75070i | ||||
\(809\) | −3.92906 | + | 3.13332i | −0.138138 | + | 0.110162i | −0.690121 | − | 0.723694i | \(-0.742443\pi\) |
0.551983 | + | 0.833855i | \(0.313871\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −17.2672 | + | 3.94113i | −0.606334 | + | 0.138392i | −0.514656 | − | 0.857397i | \(-0.672080\pi\) |
−0.0916784 | + | 0.995789i | \(0.529223\pi\) | |||||||
\(812\) | 36.9047 | − | 11.6391i | 1.29510 | − | 0.408452i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −57.5131 | −2.01583 | ||||||||
\(815\) | 13.4407 | 0.470808 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.85894 | + | 5.93665i | 0.100022 | + | 0.207697i | ||||
\(818\) | −14.7613 | − | 18.5100i | −0.516115 | − | 0.647188i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −62.6243 | + | 78.5284i | −2.18693 | + | 2.74233i | ||||
\(821\) | −13.2116 | − | 3.01546i | −0.461088 | − | 0.105240i | −0.0143343 | − | 0.999897i | \(-0.504563\pi\) |
−0.446754 | + | 0.894657i | \(0.647420\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 21.2656 | − | 10.2410i | 0.741272 | − | 0.356978i | −0.0248343 | − | 0.999692i | \(-0.507906\pi\) |
0.766106 | + | 0.642714i | \(0.222192\pi\) | |||||||
\(824\) | −25.9600 | − | 32.5529i | −0.904361 | − | 1.13403i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.0695905 | + | 0.856109i | 0.00242136 | + | 0.0297878i | ||||
\(827\) | −9.12986 | − | 18.9583i | −0.317476 | − | 0.659246i | 0.679769 | − | 0.733427i | \(-0.262080\pi\) |
−0.997245 | + | 0.0741803i | \(0.976366\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −11.6767 | + | 2.66512i | −0.405547 | + | 0.0925635i | −0.420428 | − | 0.907326i | \(-0.638120\pi\) |
0.0148811 | + | 0.999889i | \(0.495263\pi\) | |||||||
\(830\) | −0.699335 | + | 1.45218i | −0.0242743 | + | 0.0504061i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 167.784i | − | 5.81687i | ||||||
\(833\) | −0.192239 | − | 0.472210i | −0.00666069 | − | 0.0163611i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −19.3479 | + | 24.2615i | −0.669562 | + | 0.839604i | ||||
\(836\) | −78.1746 | − | 37.6469i | −2.70372 | − | 1.30205i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −26.4932 | + | 55.0137i | −0.915192 | + | 1.90042i | ||||
\(839\) | 29.2161 | − | 14.0697i | 1.00865 | − | 0.485741i | 0.144786 | − | 0.989463i | \(-0.453751\pi\) |
0.863866 | + | 0.503722i | \(0.168036\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.6258 | − | 9.45128i | −0.676751 | − | 0.325906i | ||||
\(842\) | −32.4198 | + | 25.8540i | −1.11726 | + | 0.890986i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8.69382 | + | 10.9017i | −0.299254 | + | 0.375252i | ||||
\(845\) | −6.64918 | + | 29.1320i | −0.228739 | + | 1.00217i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.26802 | − | 1.91438i | 0.112290 | − | 0.0657790i | ||||
\(848\) | 107.734 | − | 85.9151i | 3.69961 | − | 2.95034i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.552857 | + | 0.126186i | 0.0189628 | + | 0.00432814i | ||||
\(851\) | 10.8174i | 0.370815i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −13.7231 | − | 3.13220i | −0.469869 | − | 0.107245i | −0.0189712 | − | 0.999820i | \(-0.506039\pi\) |
−0.450898 | + | 0.892575i | \(0.648896\pi\) | |||||||
\(854\) | 13.2289 | − | 19.6688i | 0.452685 | − | 0.673051i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.03118 | + | 30.8056i | 0.240321 | + | 1.05291i | ||||
\(857\) | −20.2084 | − | 25.3405i | −0.690305 | − | 0.865615i | 0.305953 | − | 0.952047i | \(-0.401025\pi\) |
−0.996258 | + | 0.0864314i | \(0.972454\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −36.9589 | + | 8.43563i | −1.26102 | + | 0.287820i | −0.800233 | − | 0.599689i | \(-0.795291\pi\) |
−0.460789 | + | 0.887510i | \(0.652434\pi\) | |||||||
\(860\) | −2.58735 | − | 11.3359i | −0.0882280 | − | 0.386552i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.1240 | − | 61.8814i | 0.481066 | − | 2.10769i | ||||
\(863\) | − | 16.3192i | − | 0.555513i | −0.960652 | − | 0.277756i | \(-0.910409\pi\) | ||
0.960652 | − | 0.277756i | \(-0.0895908\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.05367 | + | 8.99774i | −0.0698270 | + | 0.305932i | ||||
\(866\) | 23.3787 | − | 11.2586i | 0.794442 | − | 0.382583i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −51.9316 | − | 88.6518i | −1.76267 | − | 3.00904i | ||||
\(869\) | 7.97358 | + | 6.35872i | 0.270485 | + | 0.215705i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 26.1205 | + | 20.8304i | 0.885060 | + | 0.705812i | ||||
\(872\) | −49.5467 | − | 102.885i | −1.67786 | − | 3.48412i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −9.68202 | + | 20.1049i | −0.327499 | + | 0.680059i | ||||
\(875\) | −26.2670 | + | 15.3870i | −0.887988 | + | 0.520177i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.46697 | + | 3.11433i | 0.218374 | + | 0.105163i | 0.539873 | − | 0.841747i | \(-0.318472\pi\) |
−0.321499 | + | 0.946910i | \(0.604187\pi\) | |||||||
\(878\) | 1.13097 | + | 4.95510i | 0.0381684 | + | 0.167227i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 59.5781 | + | 47.5120i | 2.00838 | + | 1.60163i | ||||
\(881\) | −38.2817 | −1.28974 | −0.644872 | − | 0.764291i | \(-0.723089\pi\) | ||||
−0.644872 | + | 0.764291i | \(0.723089\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −40.4654 | −1.36177 | −0.680884 | − | 0.732391i | \(-0.738404\pi\) | ||||
−0.680884 | + | 0.732391i | \(0.738404\pi\) | |||||||
\(884\) | −1.79160 | − | 1.42875i | −0.0602579 | − | 0.0480541i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 16.7869 | + | 73.5482i | 0.563967 | + | 2.47090i | ||||
\(887\) | −17.2248 | − | 8.29505i | −0.578354 | − | 0.278520i | 0.121751 | − | 0.992561i | \(-0.461149\pi\) |
−0.700105 | + | 0.714040i | \(0.746863\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 50.5028 | − | 4.10522i | 1.69381 | − | 0.137685i | ||||
\(890\) | 19.1487 | − | 39.7628i | 0.641867 | − | 1.33285i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.7484 | + | 49.3140i | 0.795154 | + | 1.65115i | ||||
\(893\) | 33.1280 | + | 26.4187i | 1.10859 | + | 0.884068i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.0995 | − | 9.64901i | −0.404441 | − | 0.322531i | ||||
\(896\) | −91.6119 | + | 28.8927i | −3.06054 | + | 0.965238i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.37392 | − | 3.06952i | 0.212700 | − | 0.102431i | ||||
\(899\) | 4.26389 | − | 18.6813i | 0.142209 | − | 0.623058i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 0.680335i | − | 0.0226652i | ||||||
\(902\) | 26.9561 | − | 118.102i | 0.897541 | − | 3.93238i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −29.7901 | − | 130.519i | −0.990804 | − | 4.34100i | ||||
\(905\) | −20.8759 | + | 4.76479i | −0.693938 | + | 0.158387i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.0043 | − | 17.5608i | −0.465005 | − | 0.583097i | 0.492935 | − | 0.870066i | \(-0.335924\pi\) |
−0.957940 | + | 0.286969i | \(0.907352\pi\) | |||||||
\(908\) | −10.4376 | − | 45.7301i | −0.346384 | − | 1.51761i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 60.9165 | − | 4.95172i | 2.01936 | − | 0.164148i | ||||
\(911\) | −29.8696 | − | 6.81755i | −0.989625 | − | 0.225876i | −0.303082 | − | 0.952964i | \(-0.598016\pi\) |
−0.686543 | + | 0.727089i | \(0.740873\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 1.42169i | − | 0.0470510i | ||||||
\(914\) | −51.2352 | − | 11.6941i | −1.69471 | − | 0.386806i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.76126 | − | 3.79697i | 0.157316 | − | 0.125456i | ||||
\(917\) | 23.8155 | + | 25.3444i | 0.786455 | + | 0.836945i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.15709 | + | 9.45085i | −0.0711560 | + | 0.311755i | −0.997964 | − | 0.0637809i | \(-0.979684\pi\) |
0.926808 | + | 0.375536i | \(0.122541\pi\) | |||||||
\(920\) | 15.5323 | − | 19.4769i | 0.512085 | − | 0.642134i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 28.1691 | − | 22.4641i | 0.927700 | − | 0.739816i | ||||
\(923\) | 0.465848 | + | 0.224341i | 0.0153336 | + | 0.00738426i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.3706 | + | 7.40210i | −0.505383 | + | 0.243380i | ||||
\(926\) | −26.9339 | + | 55.9288i | −0.885102 | + | 1.83793i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −51.9296 | − | 25.0080i | −1.70467 | − | 0.820927i | ||||
\(929\) | 31.6092 | − | 39.6367i | 1.03706 | − | 1.30044i | 0.0843934 | − | 0.996433i | \(-0.473105\pi\) |
0.952671 | − | 0.304005i | \(-0.0983238\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 18.1523 | + | 25.9158i | 0.594918 | + | 0.849358i | ||||
\(932\) | 124.225i | 4.06913i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 11.1950 | − | 23.2466i | 0.366310 | − | 0.760651i | ||||
\(935\) | 0.366799 | − | 0.0837196i | 0.0119956 | − | 0.00273792i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −19.2346 | − | 39.9410i | −0.628366 | − | 1.30482i | −0.935559 | − | 0.353169i | \(-0.885104\pi\) |
0.307193 | − | 0.951647i | \(-0.400610\pi\) | |||||||
\(938\) | 15.0016 | − | 38.9440i | 0.489819 | − | 1.27157i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −46.6192 | − | 58.4586i | −1.52055 | − | 1.90671i | ||||
\(941\) | −26.4894 | + | 12.7566i | −0.863531 | + | 0.415855i | −0.812582 | − | 0.582847i | \(-0.801939\pi\) |
−0.0509489 | + | 0.998701i | \(0.516225\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −22.2134 | − | 5.07006i | −0.723368 | − | 0.165104i | ||||
\(944\) | 1.09441 | − | 1.37235i | 0.0356201 | − | 0.0446662i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.74354 | + | 10.9640i | 0.284277 | + | 0.356472i | ||||
\(947\) | 2.71697 | + | 5.64184i | 0.0882896 | + | 0.183335i | 0.940438 | − | 0.339965i | \(-0.110415\pi\) |
−0.852149 | + | 0.523300i | \(0.824701\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 25.3764 | 0.823753 | ||||||||
\(950\) | −35.1927 | −1.14180 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.650963 | + | 1.68990i | −0.0210978 | + | 0.0547699i | ||||
\(953\) | −32.7472 | + | 7.47433i | −1.06078 | + | 0.242117i | −0.717102 | − | 0.696968i | \(-0.754532\pi\) |
−0.343683 | + | 0.939086i | \(0.611675\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.90038 | + | 3.11045i | −0.126213 | + | 0.100652i | ||||
\(956\) | 64.7022 | − | 51.5983i | 2.09262 | − | 1.66881i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 73.6013 | − | 16.7990i | 2.37795 | − | 0.542751i | ||||
\(959\) | 6.79736 | − | 6.38730i | 0.219498 | − | 0.206257i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −19.8760 | −0.641161 | ||||||||
\(962\) | 94.2650 | 3.03922 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 11.3019 | + | 23.4686i | 0.364009 | + | 0.755872i | ||||
\(965\) | −24.7689 | − | 31.0592i | −0.797340 | − | 0.999833i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 14.9573 | − | 18.7559i | 0.480994 | − | 0.603148i | −0.480830 | − | 0.876814i | \(-0.659665\pi\) |
0.961825 | + | 0.273666i | \(0.0882362\pi\) | |||||||
\(968\) | −13.1156 | − | 2.99356i | −0.421552 | − | 0.0962166i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 53.1208 | − | 25.5816i | 1.70561 | − | 0.821377i | ||||
\(971\) | −11.3142 | − | 14.1875i | −0.363090 | − | 0.455300i | 0.566410 | − | 0.824124i | \(-0.308332\pi\) |
−0.929499 | + | 0.368824i | \(0.879761\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −30.0216 | − | 4.33150i | −0.962447 | − | 0.138862i | ||||
\(974\) | 46.7864 | + | 97.1529i | 1.49913 | + | 3.11298i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −47.2260 | + | 10.7790i | −1.51167 | + | 0.345028i | ||||
\(977\) | −25.0756 | + | 52.0700i | −0.802239 | + | 1.66587i | −0.0576562 | + | 0.998336i | \(0.518363\pi\) |
−0.744583 | + | 0.667530i | \(0.767352\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 38.9277i | 1.24414i | ||||||||
\(980\) | −21.0527 | − | 51.7131i | −0.672503 | − | 1.65191i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 14.0804 | − | 17.6563i | 0.449324 | − | 0.563434i | ||||
\(983\) | 8.47856 | + | 4.08306i | 0.270424 | + | 0.130229i | 0.564182 | − | 0.825650i | \(-0.309192\pi\) |
−0.293758 | + | 0.955880i | \(0.594906\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.45788 | − | 13.4099i | 0.205765 | − | 0.427276i | ||||
\(986\) | −0.480993 | + | 0.231634i | −0.0153179 | + | 0.00737673i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 128.130 | + | 61.7039i | 4.07634 | + | 1.96306i | ||||
\(989\) | 2.06218 | − | 1.64453i | 0.0655735 | − | 0.0522932i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.54604 | + | 4.44660i | −0.112644 | + | 0.141251i | −0.834957 | − | 0.550315i | \(-0.814508\pi\) |
0.722313 | + | 0.691566i | \(0.243079\pi\) | |||||||
\(992\) | −34.0528 | + | 149.195i | −1.08118 | + | 4.73695i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.0922321 | − | 0.639259i | 0.00292542 | − | 0.0202761i | ||||
\(995\) | −2.03483 | + | 1.62272i | −0.0645083 | + | 0.0514437i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.69273 | − | 1.98406i | −0.275302 | − | 0.0628358i | 0.0826410 | − | 0.996579i | \(-0.473665\pi\) |
−0.357943 | + | 0.933744i | \(0.616522\pi\) | |||||||
\(998\) | − | 15.1249i | − | 0.478770i | ||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.w.a.251.20 | yes | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.251.1 | yes | 120 | |
49.41 | odd | 14 | inner | 441.2.w.a.188.1 | ✓ | 120 | |
147.41 | even | 14 | inner | 441.2.w.a.188.20 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.188.1 | ✓ | 120 | 49.41 | odd | 14 | inner | |
441.2.w.a.188.20 | yes | 120 | 147.41 | even | 14 | inner | |
441.2.w.a.251.1 | yes | 120 | 3.2 | odd | 2 | inner | |
441.2.w.a.251.20 | yes | 120 | 1.1 | even | 1 | trivial |