Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(35,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.v (of order \(12\), degree \(4\), 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: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 144) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 35.15 | ||
Character | \(\chi\) | \(=\) | 432.35 |
Dual form | 432.2.v.a.395.15 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.725676 | − | 1.21383i | 0.513130 | − | 0.858311i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.946789 | − | 1.76170i | −0.473394 | − | 0.880851i | ||||
\(5\) | −0.178044 | + | 0.664471i | −0.0796239 | + | 0.297161i | −0.994242 | − | 0.107158i | \(-0.965825\pi\) |
0.914618 | + | 0.404319i | \(0.132491\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.645693 | − | 1.11837i | 0.244049 | − | 0.422705i | −0.717815 | − | 0.696234i | \(-0.754858\pi\) |
0.961864 | + | 0.273529i | \(0.0881909\pi\) | |||||||
\(8\) | −2.82548 | − | 0.129179i | −0.998957 | − | 0.0456717i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.677355 | + | 0.698307i | 0.214199 | + | 0.220824i | ||||
\(11\) | −0.860301 | − | 3.21069i | −0.259390 | − | 0.968058i | −0.965595 | − | 0.260051i | \(-0.916261\pi\) |
0.706205 | − | 0.708008i | \(-0.250406\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.27203 | − | 4.74727i | 0.352797 | − | 1.31666i | −0.530437 | − | 0.847725i | \(-0.677972\pi\) |
0.883234 | − | 0.468933i | \(-0.155361\pi\) | |||||||
\(14\) | −0.888956 | − | 1.59534i | −0.237584 | − | 0.426373i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.20718 | + | 3.33592i | −0.551795 | + | 0.833980i | ||||
\(17\) | − | 5.58523i | − | 1.35462i | −0.735699 | − | 0.677308i | \(-0.763146\pi\) | ||
0.735699 | − | 0.677308i | \(-0.236854\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.49649 | + | 2.49649i | −0.572733 | + | 0.572733i | −0.932891 | − | 0.360158i | \(-0.882723\pi\) |
0.360158 | + | 0.932891i | \(0.382723\pi\) | |||||||
\(20\) | 1.33917 | − | 0.315453i | 0.299448 | − | 0.0705374i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.52154 | − | 1.28565i | −0.963996 | − | 0.274103i | ||||
\(23\) | 2.36529 | − | 1.36560i | 0.493197 | − | 0.284747i | −0.232703 | − | 0.972548i | \(-0.574757\pi\) |
0.725900 | + | 0.687801i | \(0.241424\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.92031 | + | 2.26339i | 0.784061 | + | 0.452678i | ||||
\(26\) | −4.83933 | − | 4.98901i | −0.949070 | − | 0.978426i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.58157 | − | 0.0786549i | −0.487872 | − | 0.0148644i | ||||
\(29\) | 0.792277 | + | 2.95682i | 0.147122 | + | 0.549067i | 0.999652 | + | 0.0263884i | \(0.00840066\pi\) |
−0.852530 | + | 0.522679i | \(0.824933\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.28160 | + | 3.04933i | −0.948604 | + | 0.547677i | −0.892647 | − | 0.450757i | \(-0.851154\pi\) |
−0.0559568 | + | 0.998433i | \(0.517821\pi\) | |||||||
\(32\) | 2.44755 | + | 5.09995i | 0.432671 | + | 0.901552i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.77954 | − | 4.05307i | −1.16268 | − | 0.695095i | ||||
\(35\) | 0.628165 | + | 0.628165i | 0.106179 | + | 0.106179i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.507420 | − | 0.507420i | 0.0834193 | − | 0.0834193i | −0.664166 | − | 0.747585i | \(-0.731213\pi\) |
0.747585 | + | 0.664166i | \(0.231213\pi\) | |||||||
\(38\) | 1.21868 | + | 4.84196i | 0.197696 | + | 0.785470i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.588896 | − | 1.85445i | 0.0931127 | − | 0.293214i | ||||
\(41\) | 4.89892 | + | 8.48518i | 0.765083 | + | 1.32516i | 0.940203 | + | 0.340616i | \(0.110635\pi\) |
−0.175120 | + | 0.984547i | \(0.556031\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.949956 | + | 0.254540i | −0.144867 | + | 0.0388170i | −0.330524 | − | 0.943798i | \(-0.607225\pi\) |
0.185657 | + | 0.982615i | \(0.440559\pi\) | |||||||
\(44\) | −4.84175 | + | 4.55544i | −0.729921 | + | 0.686758i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0588204 | − | 3.86205i | 0.00867260 | − | 0.569428i | ||||
\(47\) | 6.13774 | − | 10.6309i | 0.895281 | − | 1.55067i | 0.0618250 | − | 0.998087i | \(-0.480308\pi\) |
0.833456 | − | 0.552586i | \(-0.186359\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.66616 | + | 4.61793i | 0.380880 | + | 0.659704i | ||||
\(50\) | 5.59225 | − | 3.11611i | 0.790864 | − | 0.440685i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −9.56762 | + | 2.25373i | −1.32679 | + | 0.312537i | ||||
\(53\) | −0.601793 | − | 0.601793i | −0.0826626 | − | 0.0826626i | 0.664567 | − | 0.747229i | \(-0.268616\pi\) |
−0.747229 | + | 0.664567i | \(0.768616\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.28658 | 0.308322 | ||||||||
\(56\) | −1.96886 | + | 3.07653i | −0.263100 | + | 0.411118i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.16402 | + | 1.18400i | 0.546763 | + | 0.155467i | ||||
\(59\) | −4.77715 | − | 1.28003i | −0.621932 | − | 0.166646i | −0.0659263 | − | 0.997824i | \(-0.521000\pi\) |
−0.556006 | + | 0.831178i | \(0.687667\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 10.8292 | − | 2.90167i | 1.38653 | − | 0.371520i | 0.513043 | − | 0.858363i | \(-0.328518\pi\) |
0.873490 | + | 0.486842i | \(0.161851\pi\) | |||||||
\(62\) | −0.131344 | + | 8.62382i | −0.0166807 | + | 1.09523i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.96663 | + | 0.729984i | 0.995828 | + | 0.0912480i | ||||
\(65\) | 2.92795 | + | 1.69045i | 0.363167 | + | 0.209675i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.110351 | + | 0.0295686i | 0.0134816 | + | 0.00361238i | 0.265554 | − | 0.964096i | \(-0.414445\pi\) |
−0.252072 | + | 0.967708i | \(0.581112\pi\) | |||||||
\(68\) | −9.83950 | + | 5.28803i | −1.19321 | + | 0.641268i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.21833 | − | 0.306644i | 0.145619 | − | 0.0366510i | ||||
\(71\) | 0.0447904i | 0.00531565i | 0.999996 | + | 0.00265782i | \(0.000846013\pi\) | ||||
−0.999996 | + | 0.00265782i | \(0.999154\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 13.2931i | 1.55585i | 0.628360 | + | 0.777923i | \(0.283726\pi\) | ||||
−0.628360 | + | 0.777923i | \(0.716274\pi\) | |||||||
\(74\) | −0.247701 | − | 0.984146i | −0.0287947 | − | 0.114405i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.76171 | + | 2.03442i | 0.775621 | + | 0.233364i | ||||
\(77\) | −4.14624 | − | 1.11098i | −0.472507 | − | 0.126608i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.50052 | − | 1.44368i | −0.281331 | − | 0.162426i | 0.352695 | − | 0.935738i | \(-0.385265\pi\) |
−0.634026 | + | 0.773312i | \(0.718599\pi\) | |||||||
\(80\) | −1.82364 | − | 2.06055i | −0.203890 | − | 0.230377i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 13.8546 | + | 0.211011i | 1.52999 | + | 0.0233023i | ||||
\(83\) | −3.79568 | + | 1.01705i | −0.416630 | + | 0.111636i | −0.461043 | − | 0.887378i | \(-0.652525\pi\) |
0.0444135 | + | 0.999013i | \(0.485858\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.71122 | + | 0.994419i | 0.402539 | + | 0.107860i | ||||
\(86\) | −0.380391 | + | 1.33780i | −0.0410186 | + | 0.144259i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.01601 | + | 9.18285i | 0.214907 | + | 0.978895i | ||||
\(89\) | 12.7362 | 1.35003 | 0.675017 | − | 0.737802i | \(-0.264136\pi\) | ||||
0.675017 | + | 0.737802i | \(0.264136\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.48788 | − | 4.48788i | −0.470458 | − | 0.470458i | ||||
\(92\) | −4.64521 | − | 2.87400i | −0.484296 | − | 0.299635i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.45011 | − | 15.1648i | −0.871563 | − | 1.56413i | ||||
\(95\) | −1.21436 | − | 2.10333i | −0.124590 | − | 0.215797i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.41066 | − | 7.63949i | 0.447835 | − | 0.775673i | −0.550410 | − | 0.834895i | \(-0.685529\pi\) |
0.998245 | + | 0.0592215i | \(0.0188618\pi\) | |||||||
\(98\) | 7.54017 | + | 0.114840i | 0.761672 | + | 0.0116005i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.275714 | − | 9.04936i | 0.0275714 | − | 0.904936i | ||||
\(101\) | 7.02523 | − | 1.88240i | 0.699037 | − | 0.187306i | 0.108238 | − | 0.994125i | \(-0.465479\pi\) |
0.590799 | + | 0.806819i | \(0.298813\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.50698 | + | 16.4666i | 0.936750 | + | 1.62250i | 0.771483 | + | 0.636250i | \(0.219515\pi\) |
0.165267 | + | 0.986249i | \(0.447151\pi\) | |||||||
\(104\) | −4.20733 | + | 13.2490i | −0.412563 | + | 1.29917i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.16718 | + | 0.293770i | −0.113367 | + | 0.0285335i | ||||
\(107\) | −8.28797 | + | 8.28797i | −0.801228 | + | 0.801228i | −0.983287 | − | 0.182060i | \(-0.941724\pi\) |
0.182060 | + | 0.983287i | \(0.441724\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −14.3799 | − | 14.3799i | −1.37735 | − | 1.37735i | −0.849074 | − | 0.528273i | \(-0.822840\pi\) |
−0.528273 | − | 0.849074i | \(-0.677160\pi\) | |||||||
\(110\) | 1.65932 | − | 2.77553i | 0.158210 | − | 0.264636i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.30564 | + | 4.62243i | 0.217862 | + | 0.436779i | ||||
\(113\) | 2.18778 | − | 1.26312i | 0.205809 | − | 0.118824i | −0.393553 | − | 0.919302i | \(-0.628754\pi\) |
0.599362 | + | 0.800478i | \(0.295421\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.486275 | + | 1.81480i | 0.0453454 | + | 0.169231i | ||||
\(116\) | 4.45891 | − | 4.19524i | 0.413999 | − | 0.389518i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.02042 | + | 4.86978i | −0.462167 | + | 0.448300i | ||||
\(119\) | −6.24637 | − | 3.60634i | −0.572604 | − | 0.330593i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.0421101 | + | 0.0243123i | −0.00382819 | + | 0.00221021i | ||||
\(122\) | 4.33632 | − | 15.2505i | 0.392592 | − | 1.38071i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 10.3726 | + | 6.41753i | 0.931485 | + | 0.576311i | ||||
\(125\) | −4.63408 | + | 4.63408i | −0.414485 | + | 0.414485i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 17.5157i | − | 1.55427i | −0.629333 | − | 0.777135i | \(-0.716672\pi\) | ||
0.629333 | − | 0.777135i | \(-0.283328\pi\) | |||||||
\(128\) | 6.66727 | − | 9.14043i | 0.589309 | − | 0.807908i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.17667 | − | 2.32733i | 0.366318 | − | 0.204120i | ||||
\(131\) | −3.21241 | + | 11.9889i | −0.280669 | + | 1.04747i | 0.671277 | + | 0.741207i | \(0.265746\pi\) |
−0.951946 | + | 0.306266i | \(0.900920\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.18004 | + | 4.40397i | 0.102322 | + | 0.381872i | ||||
\(134\) | 0.115971 | − | 0.112491i | 0.0100183 | − | 0.00971776i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.721494 | + | 15.7809i | −0.0618676 | + | 1.35320i | ||||
\(137\) | −5.00063 | + | 8.66134i | −0.427232 | + | 0.739988i | −0.996626 | − | 0.0820768i | \(-0.973845\pi\) |
0.569394 | + | 0.822065i | \(0.307178\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.368654 | + | 1.37583i | −0.0312688 | + | 0.116697i | −0.979796 | − | 0.199998i | \(-0.935906\pi\) |
0.948528 | + | 0.316695i | \(0.102573\pi\) | |||||||
\(140\) | 0.511899 | − | 1.70138i | 0.0432634 | − | 0.143793i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.0543682 | + | 0.0325034i | 0.00456248 | + | 0.00272762i | ||||
\(143\) | −16.3363 | −1.36611 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.10578 | −0.174876 | ||||||||
\(146\) | 16.1357 | + | 9.64652i | 1.33540 | + | 0.798352i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.37434 | − | 0.413503i | −0.112970 | − | 0.0339897i | ||||
\(149\) | −1.48172 | + | 5.52986i | −0.121387 | + | 0.453024i | −0.999685 | − | 0.0250901i | \(-0.992013\pi\) |
0.878298 | + | 0.478114i | \(0.158679\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.10127 | − | 14.0318i | 0.659272 | − | 1.14189i | −0.321533 | − | 0.946899i | \(-0.604198\pi\) |
0.980804 | − | 0.194994i | \(-0.0624687\pi\) | |||||||
\(152\) | 7.37625 | − | 6.73127i | 0.598293 | − | 0.545978i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.35737 | + | 4.22663i | −0.351127 | + | 0.340592i | ||||
\(155\) | −1.08583 | − | 4.05239i | −0.0872163 | − | 0.325496i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.02762 | + | 7.56718i | −0.161822 | + | 0.603927i | 0.836602 | + | 0.547810i | \(0.184538\pi\) |
−0.998424 | + | 0.0561165i | \(0.982128\pi\) | |||||||
\(158\) | −3.56695 | + | 1.98758i | −0.283772 | + | 0.158123i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.82454 | + | 0.718311i | −0.302357 | + | 0.0567875i | ||||
\(161\) | − | 3.52703i | − | 0.277969i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.89763 | + | 4.89763i | −0.383612 | + | 0.383612i | −0.872402 | − | 0.488789i | \(-0.837439\pi\) |
0.488789 | + | 0.872402i | \(0.337439\pi\) | |||||||
\(164\) | 10.3101 | − | 16.6641i | 0.805084 | − | 1.30125i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.51990 | + | 5.34537i | −0.117967 | + | 0.414882i | ||||
\(167\) | 18.7832 | − | 10.8445i | 1.45349 | − | 0.839174i | 0.454814 | − | 0.890587i | \(-0.349706\pi\) |
0.998677 | + | 0.0514129i | \(0.0163725\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.66023 | − | 5.57734i | −0.743095 | − | 0.429026i | ||||
\(170\) | 3.90021 | − | 3.78318i | 0.299132 | − | 0.290157i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.34783 | + | 1.43254i | 0.102771 | + | 0.109230i | ||||
\(173\) | 2.05946 | + | 7.68601i | 0.156578 | + | 0.584356i | 0.998965 | + | 0.0454836i | \(0.0144829\pi\) |
−0.842387 | + | 0.538873i | \(0.818850\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.06263 | − | 2.92291i | 0.382699 | − | 0.220951i | ||||
\(176\) | 12.6094 | + | 4.21668i | 0.950471 | + | 0.317844i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.24236 | − | 15.4596i | 0.692744 | − | 1.15875i | ||||
\(179\) | 9.47991 | + | 9.47991i | 0.708562 | + | 0.708562i | 0.966233 | − | 0.257671i | \(-0.0829551\pi\) |
−0.257671 | + | 0.966233i | \(0.582955\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.00075 | − | 8.00075i | 0.594691 | − | 0.594691i | −0.344204 | − | 0.938895i | \(-0.611851\pi\) |
0.938895 | + | 0.344204i | \(0.111851\pi\) | |||||||
\(182\) | −8.70430 | + | 2.19080i | −0.645206 | + | 0.162393i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −6.85947 | + | 3.55292i | −0.505687 | + | 0.261925i | ||||
\(185\) | 0.246822 | + | 0.427509i | 0.0181467 | + | 0.0314311i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −17.9324 | + | 4.80498i | −1.31135 | + | 0.351375i | ||||
\(188\) | −24.5396 | − | 0.747667i | −1.78973 | − | 0.0545292i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.43432 | − | 0.0523060i | −0.249152 | − | 0.00379468i | ||||
\(191\) | −9.22986 | + | 15.9866i | −0.667850 | + | 1.15675i | 0.310655 | + | 0.950523i | \(0.399452\pi\) |
−0.978504 | + | 0.206227i | \(0.933882\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.61643 | + | 4.53179i | 0.188335 | + | 0.326205i | 0.944695 | − | 0.327950i | \(-0.106358\pi\) |
−0.756360 | + | 0.654155i | \(0.773024\pi\) | |||||||
\(194\) | −6.07237 | − | 10.8976i | −0.435971 | − | 0.782403i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.61111 | − | 9.06918i | 0.400794 | − | 0.647799i | ||||
\(197\) | −14.3573 | − | 14.3573i | −1.02292 | − | 1.02292i | −0.999731 | − | 0.0231869i | \(-0.992619\pi\) |
−0.0231869 | − | 0.999731i | \(-0.507381\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.8358 | −0.980797 | −0.490399 | − | 0.871498i | \(-0.663149\pi\) | ||||
−0.490399 | + | 0.871498i | \(0.663149\pi\) | |||||||
\(200\) | −10.7843 | − | 6.90157i | −0.762568 | − | 0.488015i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.81311 | − | 9.89348i | 0.197930 | − | 0.696103i | ||||
\(203\) | 3.81839 | + | 1.02314i | 0.267999 | + | 0.0718100i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.51038 | + | 1.74445i | −0.454705 | + | 0.121838i | ||||
\(206\) | 26.8867 | + | 0.409494i | 1.87328 | + | 0.0285308i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 13.0289 | + | 14.7215i | 0.903393 | + | 1.02075i | ||||
\(209\) | 10.1632 | + | 5.86770i | 0.703001 | + | 0.405878i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −25.6481 | − | 6.87239i | −1.76569 | − | 0.473115i | −0.777831 | − | 0.628473i | \(-0.783680\pi\) |
−0.987858 | + | 0.155358i | \(0.950347\pi\) | |||||||
\(212\) | −0.490408 | + | 1.62995i | −0.0336814 | + | 0.111945i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.04584 | + | 16.0746i | 0.276568 | + | 1.09884i | ||||
\(215\) | − | 0.676538i | − | 0.0461395i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.87574i | 0.534640i | ||||||||
\(218\) | −27.8900 | + | 7.01969i | −1.88895 | + | 0.475433i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.16491 | − | 4.02827i | −0.145958 | − | 0.271586i | ||||
\(221\) | −26.5146 | − | 7.10457i | −1.78357 | − | 0.477905i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.77266 | + | 1.60079i | 0.185671 | + | 0.107197i | 0.589954 | − | 0.807437i | \(-0.299146\pi\) |
−0.404284 | + | 0.914634i | \(0.632479\pi\) | |||||||
\(224\) | 7.28401 | + | 0.555723i | 0.486684 | + | 0.0371308i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.0544063 | − | 3.57222i | 0.00361905 | − | 0.237621i | ||||
\(227\) | −2.78291 | + | 0.745680i | −0.184708 | + | 0.0494925i | −0.349988 | − | 0.936754i | \(-0.613814\pi\) |
0.165279 | + | 0.986247i | \(0.447148\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.6277 | − | 4.72334i | −1.16487 | − | 0.312127i | −0.375963 | − | 0.926635i | \(-0.622688\pi\) |
−0.788911 | + | 0.614508i | \(0.789355\pi\) | |||||||
\(230\) | 2.55575 | + | 0.726701i | 0.168521 | + | 0.0479173i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.85660 | − | 8.45676i | −0.121892 | − | 0.555214i | ||||
\(233\) | −6.00585 | −0.393456 | −0.196728 | − | 0.980458i | \(-0.563032\pi\) | ||||
−0.196728 | + | 0.980458i | \(0.563032\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.97112 | + | 5.97112i | 0.389513 | + | 0.389513i | ||||
\(236\) | 2.26792 | + | 9.62784i | 0.147629 | + | 0.626719i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −8.91034 | + | 4.96502i | −0.577572 | + | 0.321835i | ||||
\(239\) | −6.00788 | − | 10.4059i | −0.388617 | − | 0.673105i | 0.603647 | − | 0.797252i | \(-0.293714\pi\) |
−0.992264 | + | 0.124147i | \(0.960381\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.51923 | − | 2.63138i | 0.0978622 | − | 0.169502i | −0.812937 | − | 0.582351i | \(-0.802133\pi\) |
0.910800 | + | 0.412849i | \(0.135466\pi\) | |||||||
\(242\) | −0.00104720 | + | 0.0687575i | −6.73167e−5 | + | 0.00441990i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −15.3648 | − | 16.3305i | −0.983631 | − | 1.04545i | ||||
\(245\) | −3.54317 | + | 0.949391i | −0.226365 | + | 0.0606543i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.67590 | + | 15.0271i | 0.552034 | + | 0.956152i | ||||
\(248\) | 15.3169 | − | 7.93355i | 0.972627 | − | 0.503781i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.26217 | + | 8.98784i | 0.143072 | + | 0.568441i | ||||
\(251\) | −2.95387 | + | 2.95387i | −0.186447 | + | 0.186447i | −0.794158 | − | 0.607711i | \(-0.792088\pi\) |
0.607711 | + | 0.794158i | \(0.292088\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.41937 | − | 6.41937i | −0.403582 | − | 0.403582i | ||||
\(254\) | −21.2612 | − | 12.7108i | −1.33405 | − | 0.797544i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −6.25670 | − | 14.7260i | −0.391044 | − | 0.920372i | ||||
\(257\) | −1.67398 | + | 0.966474i | −0.104420 | + | 0.0602870i | −0.551301 | − | 0.834307i | \(-0.685868\pi\) |
0.446880 | + | 0.894594i | \(0.352535\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.239847 | − | 0.895122i | −0.0149034 | − | 0.0556202i | ||||
\(260\) | 0.205922 | − | 6.75867i | 0.0127707 | − | 0.419155i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 12.2213 | + | 12.5994i | 0.755037 | + | 0.778392i | ||||
\(263\) | 1.51993 | + | 0.877533i | 0.0937230 | + | 0.0541110i | 0.546129 | − | 0.837701i | \(-0.316101\pi\) |
−0.452406 | + | 0.891812i | \(0.649434\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.507020 | − | 0.292728i | 0.0311460 | − | 0.0179821i | ||||
\(266\) | 6.20201 | + | 1.76348i | 0.380270 | + | 0.108126i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.0523885 | − | 0.222401i | −0.00320014 | − | 0.0135853i | ||||
\(269\) | 14.2013 | − | 14.2013i | 0.865871 | − | 0.865871i | −0.126141 | − | 0.992012i | \(-0.540259\pi\) |
0.992012 | + | 0.126141i | \(0.0402592\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.3712i | 0.690754i | 0.938464 | + | 0.345377i | \(0.112249\pi\) | ||||
−0.938464 | + | 0.345377i | \(0.887751\pi\) | |||||||
\(272\) | 18.6319 | + | 12.3276i | 1.12972 | + | 0.747471i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.88460 | + | 12.3553i | 0.415914 | + | 0.746409i | ||||
\(275\) | 3.89439 | − | 14.5341i | 0.234841 | − | 0.876437i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.81439 | + | 6.77138i | 0.109016 | + | 0.406853i | 0.998770 | − | 0.0495877i | \(-0.0157907\pi\) |
−0.889754 | + | 0.456441i | \(0.849124\pi\) | |||||||
\(278\) | 1.40251 | + | 1.44589i | 0.0841171 | + | 0.0867190i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.69372 | − | 1.85601i | −0.101219 | − | 0.110918i | ||||
\(281\) | −5.16379 | + | 8.94395i | −0.308046 | + | 0.533552i | −0.977935 | − | 0.208910i | \(-0.933008\pi\) |
0.669889 | + | 0.742461i | \(0.266342\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.25018 | − | 23.3260i | 0.371535 | − | 1.38659i | −0.486807 | − | 0.873509i | \(-0.661839\pi\) |
0.858342 | − | 0.513078i | \(-0.171495\pi\) | |||||||
\(284\) | 0.0789074 | − | 0.0424071i | 0.00468229 | − | 0.00251640i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −11.8549 | + | 19.8296i | −0.700994 | + | 1.17255i | ||||
\(287\) | 12.6528 | 0.746871 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.1948 | −0.834987 | ||||||||
\(290\) | −1.52811 | + | 2.55607i | −0.0897340 | + | 0.150098i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 23.4186 | − | 12.5858i | 1.37047 | − | 0.736529i | ||||
\(293\) | 5.04554 | − | 18.8302i | 0.294763 | − | 1.10007i | −0.646642 | − | 0.762794i | \(-0.723827\pi\) |
0.941405 | − | 0.337278i | \(-0.109506\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.70109 | − | 2.94638i | 0.0990414 | − | 0.171545i | ||||
\(296\) | −1.49925 | + | 1.36815i | −0.0871421 | + | 0.0795224i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.63709 | + | 5.81145i | 0.326548 | + | 0.336648i | ||||
\(299\) | −3.47416 | − | 12.9658i | −0.200916 | − | 0.749829i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.328709 | + | 1.22676i | −0.0189465 | + | 0.0707093i | ||||
\(302\) | −11.1534 | − | 20.0161i | −0.641806 | − | 1.15180i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.81787 | − | 13.8383i | −0.161616 | − | 0.793679i | ||||
\(305\) | 7.71230i | 0.441605i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.37646 | + | 4.37646i | −0.249778 | + | 0.249778i | −0.820879 | − | 0.571101i | \(-0.806516\pi\) |
0.571101 | + | 0.820879i | \(0.306516\pi\) | |||||||
\(308\) | 1.96839 | + | 8.35629i | 0.112160 | + | 0.476144i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.70689 | − | 1.62270i | −0.324130 | − | 0.0921630i | ||||
\(311\) | 2.65273 | − | 1.53155i | 0.150423 | − | 0.0868465i | −0.422900 | − | 0.906177i | \(-0.638988\pi\) |
0.573322 | + | 0.819330i | \(0.305654\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.59526 | − | 1.49837i | −0.146693 | − | 0.0846930i | 0.424857 | − | 0.905260i | \(-0.360324\pi\) |
−0.571550 | + | 0.820567i | \(0.693658\pi\) | |||||||
\(314\) | 7.71391 | + | 7.95252i | 0.435321 | + | 0.448787i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.175861 | + | 5.77203i | −0.00989296 | + | 0.324702i | ||||
\(317\) | −2.47692 | − | 9.24401i | −0.139118 | − | 0.519195i | −0.999947 | − | 0.0103009i | \(-0.996721\pi\) |
0.860829 | − | 0.508894i | \(-0.169946\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.81182 | − | 5.08751i | 0.493367 | − | 0.284846i | ||||
\(320\) | −1.90347 | + | 5.16362i | −0.106407 | + | 0.288655i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4.28123 | − | 2.55948i | −0.238584 | − | 0.142634i | ||||
\(323\) | 13.9434 | + | 13.9434i | 0.775834 | + | 0.775834i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 15.7317 | − | 15.7317i | 0.872636 | − | 0.872636i | ||||
\(326\) | 2.39082 | + | 9.49901i | 0.132415 | + | 0.526102i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −12.7457 | − | 24.6075i | −0.703762 | − | 1.35872i | ||||
\(329\) | −7.92619 | − | 13.7286i | −0.436985 | − | 0.756880i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.5870 | − | 3.90856i | 0.801772 | − | 0.214834i | 0.165410 | − | 0.986225i | \(-0.447105\pi\) |
0.636362 | + | 0.771391i | \(0.280439\pi\) | |||||||
\(332\) | 5.38544 | + | 5.72392i | 0.295565 | + | 0.314141i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.467106 | − | 30.6694i | 0.0255589 | − | 1.67815i | ||||
\(335\) | −0.0392949 | + | 0.0680608i | −0.00214691 | + | 0.00371856i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.09448 | + | 1.89569i | 0.0596200 | + | 0.103265i | 0.894295 | − | 0.447478i | \(-0.147678\pi\) |
−0.834675 | + | 0.550743i | \(0.814344\pi\) | |||||||
\(338\) | −13.7802 | + | 7.67858i | −0.749542 | + | 0.417660i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.76188 | − | 7.47957i | −0.0955511 | − | 0.405637i | ||||
\(341\) | 14.3342 | + | 14.3342i | 0.776242 | + | 0.776242i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.9258 | 0.859912 | ||||||||
\(344\) | 2.71696 | − | 0.596482i | 0.146489 | − | 0.0321602i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.8240 | + | 3.07771i | 0.581904 | + | 0.165459i | ||||
\(347\) | 27.6810 | + | 7.41711i | 1.48599 | + | 0.398171i | 0.908382 | − | 0.418140i | \(-0.137318\pi\) |
0.577612 | + | 0.816311i | \(0.303985\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −23.0850 | + | 6.18561i | −1.23571 | + | 0.331108i | −0.816801 | − | 0.576919i | \(-0.804255\pi\) |
−0.418911 | + | 0.908027i | \(0.637588\pi\) | |||||||
\(350\) | 0.125898 | − | 8.26628i | 0.00672955 | − | 0.441851i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 14.2687 | − | 12.2458i | 0.760524 | − | 0.652704i | ||||
\(353\) | 0.355770 | + | 0.205404i | 0.0189357 | + | 0.0109325i | 0.509438 | − | 0.860507i | \(-0.329853\pi\) |
−0.490502 | + | 0.871440i | \(0.663187\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.0297620 | − | 0.00797469i | −0.00157960 | − | 0.000423253i | ||||
\(356\) | −12.0585 | − | 22.4374i | −0.639099 | − | 1.18918i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 18.3864 | − | 4.62770i | 0.971750 | − | 0.244581i | ||||
\(359\) | − | 1.19383i | − | 0.0630078i | −0.999504 | − | 0.0315039i | \(-0.989970\pi\) | ||
0.999504 | − | 0.0315039i | \(-0.0100297\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.53512i | 0.343954i | ||||||||
\(362\) | −3.90564 | − | 15.5175i | −0.205276 | − | 0.815584i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.65723 | + | 12.1554i | −0.191691 | + | 0.637116i | ||||
\(365\) | −8.83291 | − | 2.36677i | −0.462336 | − | 0.123883i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 16.1698 | + | 9.33562i | 0.844055 | + | 0.487316i | 0.858641 | − | 0.512578i | \(-0.171310\pi\) |
−0.0145854 | + | 0.999894i | \(0.504643\pi\) | |||||||
\(368\) | −0.665092 | + | 10.9045i | −0.0346703 | + | 0.568438i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.698038 | + | 0.0106314i | 0.0362893 | + | 0.000552699i | ||||
\(371\) | −1.06160 | + | 0.284455i | −0.0551156 | + | 0.0147682i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.5442 | + | 3.09325i | 0.597735 | + | 0.160163i | 0.544986 | − | 0.838445i | \(-0.316535\pi\) |
0.0527491 | + | 0.998608i | \(0.483202\pi\) | |||||||
\(374\) | −7.18068 | + | 25.2538i | −0.371304 | + | 1.30585i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −18.7153 | + | 29.2444i | −0.965169 | + | 1.50817i | ||||
\(377\) | 15.0446 | 0.774838 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.3650 | + | 15.3650i | 0.789248 | + | 0.789248i | 0.981371 | − | 0.192123i | \(-0.0615372\pi\) |
−0.192123 | + | 0.981371i | \(0.561537\pi\) | |||||||
\(380\) | −2.55570 | + | 4.13074i | −0.131104 | + | 0.211903i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 12.7072 | + | 22.8046i | 0.650156 | + | 1.16679i | ||||
\(383\) | 11.1162 | + | 19.2539i | 0.568013 | + | 0.983827i | 0.996762 | + | 0.0804037i | \(0.0256210\pi\) |
−0.428750 | + | 0.903423i | \(0.641046\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.47643 | − | 2.55725i | 0.0752458 | − | 0.130330i | ||||
\(386\) | 7.39952 | + | 0.112697i | 0.376626 | + | 0.00573615i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −17.6345 | − | 0.537284i | −0.895255 | − | 0.0272764i | ||||
\(389\) | −15.6338 | + | 4.18905i | −0.792663 | + | 0.212393i | −0.632360 | − | 0.774675i | \(-0.717914\pi\) |
−0.160303 | + | 0.987068i | \(0.551247\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.62718 | − | 13.2107i | −0.385723 | − | 0.668092i | ||||
\(392\) | −6.93663 | − | 13.3923i | −0.350353 | − | 0.676411i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −27.8462 | + | 7.00866i | −1.40287 | + | 0.353091i | ||||
\(395\) | 1.40449 | − | 1.40449i | 0.0706674 | − | 0.0706674i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 14.5828 | + | 14.5828i | 0.731887 | + | 0.731887i | 0.970993 | − | 0.239106i | \(-0.0768543\pi\) |
−0.239106 | + | 0.970993i | \(0.576854\pi\) | |||||||
\(398\) | −10.0403 | + | 16.7944i | −0.503277 | + | 0.841829i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −16.2033 | + | 8.08211i | −0.810165 | + | 0.404105i | ||||
\(401\) | −27.9585 | + | 16.1418i | −1.39618 | + | 0.806085i | −0.993990 | − | 0.109470i | \(-0.965085\pi\) |
−0.402191 | + | 0.915556i | \(0.631751\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.75768 | + | 28.9521i | 0.386438 | + | 1.44220i | ||||
\(404\) | −9.96764 | − | 10.5941i | −0.495909 | − | 0.527077i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.01283 | − | 3.89243i | 0.199154 | − | 0.193178i | ||||
\(407\) | −2.06570 | − | 1.19263i | −0.102393 | − | 0.0591166i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.9975 | − | 7.50409i | 0.642683 | − | 0.371053i | −0.142964 | − | 0.989728i | \(-0.545663\pi\) |
0.785647 | + | 0.618674i | \(0.212330\pi\) | |||||||
\(410\) | −2.60695 | + | 9.16844i | −0.128748 | + | 0.452797i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 20.0081 | − | 32.3388i | 0.985727 | − | 1.59322i | ||||
\(413\) | −4.51613 | + | 4.51613i | −0.222224 | + | 0.222224i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 2.70320i | − | 0.132695i | ||||||
\(416\) | 27.3242 | − | 5.13193i | 1.33968 | − | 0.251614i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 14.4976 | − | 8.07835i | 0.709100 | − | 0.395125i | ||||
\(419\) | −6.00718 | + | 22.4191i | −0.293470 | + | 1.09525i | 0.648955 | + | 0.760827i | \(0.275206\pi\) |
−0.942425 | + | 0.334418i | \(0.891460\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.05109 | + | 15.1189i | 0.197438 | + | 0.736849i | 0.991622 | + | 0.129172i | \(0.0412319\pi\) |
−0.794184 | + | 0.607677i | \(0.792101\pi\) | |||||||
\(422\) | −26.9542 | + | 26.1454i | −1.31211 | + | 1.27274i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.62261 | + | 1.77809i | 0.0788010 | + | 0.0863517i | ||||
\(425\) | 12.6415 | − | 21.8958i | 0.613205 | − | 1.06210i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.74717 | − | 13.9846i | 0.181338 | − | 0.676764i | ||||
\(428\) | 22.4479 | + | 6.75396i | 1.08506 | + | 0.326465i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.821205 | − | 0.490947i | −0.0396020 | − | 0.0236756i | ||||
\(431\) | 1.63818 | 0.0789082 | 0.0394541 | − | 0.999221i | \(-0.487438\pi\) | ||||
0.0394541 | + | 0.999221i | \(0.487438\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.1284 | 1.15954 | 0.579769 | − | 0.814781i | \(-0.303143\pi\) | ||||
0.579769 | + | 0.814781i | \(0.303143\pi\) | |||||||
\(434\) | 9.55984 | + | 5.71523i | 0.458887 | + | 0.274340i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.7184 | + | 38.9479i | −0.561209 | + | 1.86527i | ||||
\(437\) | −2.49571 | + | 9.31411i | −0.119386 | + | 0.445554i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.04546 | − | 10.4711i | 0.288534 | − | 0.499756i | −0.684926 | − | 0.728613i | \(-0.740165\pi\) |
0.973460 | + | 0.228857i | \(0.0734987\pi\) | |||||||
\(440\) | −6.46068 | − | 0.295378i | −0.308001 | − | 0.0140816i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −27.8648 | + | 27.0287i | −1.32539 | + | 1.28563i | ||||
\(443\) | 4.35450 | + | 16.2512i | 0.206889 | + | 0.772119i | 0.988866 | + | 0.148811i | \(0.0475448\pi\) |
−0.781977 | + | 0.623307i | \(0.785789\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.26761 | + | 8.46284i | −0.107495 | + | 0.401177i | ||||
\(446\) | 3.95515 | − | 2.20389i | 0.187282 | − | 0.104357i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 5.96039 | − | 8.43831i | 0.281602 | − | 0.398673i | ||||
\(449\) | − | 31.8270i | − | 1.50201i | −0.660298 | − | 0.751004i | \(-0.729570\pi\) | ||
0.660298 | − | 0.751004i | \(-0.270430\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 23.0287 | − | 23.0287i | 1.08438 | − | 1.08438i | ||||
\(452\) | −4.29661 | − | 2.65832i | −0.202095 | − | 0.125037i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.11436 | + | 3.91912i | −0.0522996 | + | 0.183933i | ||||
\(455\) | 3.78111 | − | 2.18303i | 0.177261 | − | 0.102342i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.8553 | − | 14.3502i | −1.16268 | − | 0.671275i | −0.210737 | − | 0.977543i | \(-0.567586\pi\) |
−0.951945 | + | 0.306268i | \(0.900920\pi\) | |||||||
\(458\) | −18.5254 | + | 17.9695i | −0.865634 | + | 0.839661i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.73674 | − | 2.57491i | 0.127601 | − | 0.120056i | ||||
\(461\) | −0.483918 | − | 1.80601i | −0.0225383 | − | 0.0841141i | 0.953741 | − | 0.300631i | \(-0.0971971\pi\) |
−0.976279 | + | 0.216517i | \(0.930530\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.71990 | + | 2.72503i | −0.219352 | + | 0.126643i | −0.605650 | − | 0.795731i | \(-0.707087\pi\) |
0.386298 | + | 0.922374i | \(0.373754\pi\) | |||||||
\(464\) | −11.6124 | − | 3.88326i | −0.539092 | − | 0.180276i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.35830 | + | 7.29011i | −0.201894 | + | 0.337708i | ||||
\(467\) | −8.95228 | − | 8.95228i | −0.414262 | − | 0.414262i | 0.468958 | − | 0.883220i | \(-0.344630\pi\) |
−0.883220 | + | 0.468958i | \(0.844630\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.104322 | − | 0.104322i | 0.00481713 | − | 0.00481713i | ||||
\(470\) | 11.5810 | − | 2.91485i | 0.534194 | − | 0.134452i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 13.3324 | + | 4.23381i | 0.613672 | + | 0.194877i | ||||
\(473\) | 1.63450 | + | 2.83103i | 0.0751542 | + | 0.130171i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −15.4375 | + | 4.13647i | −0.708321 | + | 0.189794i | ||||
\(476\) | −0.439306 | + | 14.4187i | −0.0201355 | + | 0.660879i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −16.9909 | − | 0.258777i | −0.777144 | − | 0.0118362i | ||||
\(479\) | 4.27809 | − | 7.40987i | 0.195471 | − | 0.338566i | −0.751584 | − | 0.659638i | \(-0.770710\pi\) |
0.947055 | + | 0.321072i | \(0.104043\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.76341 | − | 3.05431i | −0.0804045 | − | 0.139265i | ||||
\(482\) | −2.09160 | − | 3.75363i | −0.0952696 | − | 0.170973i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.0827003 | + | 0.0511668i | 0.00375911 | + | 0.00232576i | ||||
\(485\) | 4.29093 | + | 4.29093i | 0.194841 | + | 0.194841i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.1689 | −0.596738 | −0.298369 | − | 0.954451i | \(-0.596443\pi\) | ||||
−0.298369 | + | 0.954451i | \(0.596443\pi\) | |||||||
\(488\) | −30.9724 | + | 6.79969i | −1.40205 | + | 0.307808i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.41879 | + | 4.98978i | −0.0640945 | + | 0.225415i | ||||
\(491\) | −8.09692 | − | 2.16956i | −0.365409 | − | 0.0979110i | 0.0714425 | − | 0.997445i | \(-0.477240\pi\) |
−0.436851 | + | 0.899534i | \(0.643906\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 16.5145 | − | 4.42505i | 0.743776 | − | 0.199294i | ||||
\(494\) | 24.5363 | + | 0.373697i | 1.10394 | + | 0.0168134i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.48513 | − | 24.3494i | 0.0666841 | − | 1.09332i | ||||
\(497\) | 0.0500924 | + | 0.0289209i | 0.00224695 | + | 0.00129728i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 31.2957 | + | 8.38567i | 1.40099 | + | 0.375394i | 0.878700 | − | 0.477374i | \(-0.158411\pi\) |
0.522289 | + | 0.852768i | \(0.325078\pi\) | |||||||
\(500\) | 12.5514 | + | 3.77637i | 0.561314 | + | 0.168884i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.44196 | + | 5.72906i | 0.0643577 | + | 0.255701i | ||||
\(503\) | 20.8126i | 0.927989i | 0.885838 | + | 0.463994i | \(0.153584\pi\) | ||||
−0.885838 | + | 0.463994i | \(0.846416\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.00321i | 0.222640i | ||||||||
\(506\) | −12.4504 | + | 3.13367i | −0.553489 | + | 0.139309i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −30.8575 | + | 16.5837i | −1.36908 | + | 0.735783i | ||||
\(509\) | 20.7078 | + | 5.54865i | 0.917859 | + | 0.245940i | 0.686670 | − | 0.726969i | \(-0.259072\pi\) |
0.231189 | + | 0.972909i | \(0.425738\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 14.8667 | + | 8.58329i | 0.657664 | + | 0.379703i | ||||
\(512\) | −22.4152 | − | 3.09167i | −0.990622 | − | 0.136634i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.0416289 | + | 2.73329i | −0.00183617 | + | 0.120560i | ||||
\(515\) | −12.6342 | + | 3.38533i | −0.556730 | + | 0.149175i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −39.4127 | − | 10.5606i | −1.73337 | − | 0.464455i | ||||
\(518\) | −1.26058 | − | 0.358434i | −0.0553868 | − | 0.0157487i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.05448 | − | 5.15456i | −0.353212 | − | 0.226042i | ||||
\(521\) | −20.1534 | −0.882938 | −0.441469 | − | 0.897277i | \(-0.645542\pi\) | ||||
−0.441469 | + | 0.897277i | \(0.645542\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.7713 | + | 14.7713i | 0.645905 | + | 0.645905i | 0.952001 | − | 0.306096i | \(-0.0990228\pi\) |
−0.306096 | + | 0.952001i | \(0.599023\pi\) | |||||||
\(524\) | 24.1623 | − | 5.69163i | 1.05553 | − | 0.248640i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.16816 | − | 1.20814i | 0.0945362 | − | 0.0526775i | ||||
\(527\) | 17.0312 | + | 29.4990i | 0.741892 | + | 1.28499i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.77028 | + | 13.4585i | −0.337838 | + | 0.585153i | ||||
\(530\) | 0.0126087 | − | 0.827864i | 0.000547686 | − | 0.0359601i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.64122 | − | 6.24850i | 0.287934 | − | 0.270907i | ||||
\(533\) | 46.5131 | − | 12.4631i | 2.01470 | − | 0.539838i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.03149 | − | 6.98274i | −0.174296 | − | 0.301890i | ||||
\(536\) | −0.307976 | − | 0.0978004i | −0.0133025 | − | 0.00422433i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.93251 | − | 27.5437i | −0.298882 | − | 1.18749i | ||||
\(539\) | 12.5330 | − | 12.5330i | 0.539835 | − | 0.539835i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.1739 | + | 11.1739i | 0.480403 | + | 0.480403i | 0.905260 | − | 0.424857i | \(-0.139676\pi\) |
−0.424857 | + | 0.905260i | \(0.639676\pi\) | |||||||
\(542\) | 13.8028 | + | 8.25184i | 0.592882 | + | 0.354447i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 28.4844 | − | 13.6701i | 1.22126 | − | 0.586103i | ||||
\(545\) | 12.1153 | − | 6.99478i | 0.518963 | − | 0.299624i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.23236 | − | 12.0633i | −0.138206 | − | 0.515791i | −0.999964 | − | 0.00847177i | \(-0.997303\pi\) |
0.861758 | − | 0.507319i | \(-0.169363\pi\) | |||||||
\(548\) | 19.9932 | + | 0.609150i | 0.854068 | + | 0.0260216i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −14.8159 | − | 15.2742i | −0.631751 | − | 0.651293i | ||||
\(551\) | −9.35956 | − | 5.40375i | −0.398731 | − | 0.230207i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.22914 | + | 1.86435i | −0.137317 | + | 0.0792800i | ||||
\(554\) | 9.53600 | + | 2.71146i | 0.405146 | + | 0.115199i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.77285 | − | 0.653167i | 0.117595 | − | 0.0277004i | ||||
\(557\) | 4.41323 | − | 4.41323i | 0.186995 | − | 0.186995i | −0.607401 | − | 0.794395i | \(-0.707788\pi\) |
0.794395 | + | 0.607401i | \(0.207788\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.83349i | 0.204435i | ||||||||
\(560\) | −3.48198 | + | 0.709032i | −0.147140 | + | 0.0299621i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 7.10924 | + | 12.7584i | 0.299885 | + | 0.538181i | ||||
\(563\) | 9.09152 | − | 33.9300i | 0.383162 | − | 1.42998i | −0.457882 | − | 0.889013i | \(-0.651392\pi\) |
0.841044 | − | 0.540967i | \(-0.181942\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.449782 | + | 1.67861i | 0.0189225 | + | 0.0706197i | ||||
\(566\) | −23.7783 | − | 24.5138i | −0.999477 | − | 1.03039i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.00578599 | − | 0.126554i | 0.000242775 | − | 0.00531010i | ||||
\(569\) | 10.8432 | − | 18.7810i | 0.454572 | − | 0.787342i | −0.544091 | − | 0.839026i | \(-0.683126\pi\) |
0.998663 | + | 0.0516841i | \(0.0164589\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.69081 | − | 10.0422i | 0.112607 | − | 0.420255i | −0.886490 | − | 0.462748i | \(-0.846863\pi\) |
0.999097 | + | 0.0424934i | \(0.0135301\pi\) | |||||||
\(572\) | 15.4671 | + | 28.7797i | 0.646710 | + | 1.20334i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 9.18183 | − | 15.3584i | 0.383242 | − | 0.641047i | ||||
\(575\) | 12.3635 | 0.515595 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −33.2014 | −1.38219 | −0.691096 | − | 0.722763i | \(-0.742872\pi\) | ||||
−0.691096 | + | 0.722763i | \(0.742872\pi\) | |||||||
\(578\) | −10.3008 | + | 17.2301i | −0.428457 | + | 0.716678i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.99373 | + | 3.70976i | 0.0827851 | + | 0.154039i | ||||
\(581\) | −1.31340 | + | 4.90169i | −0.0544891 | + | 0.203356i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.41444 | + | 2.44989i | −0.0585803 | + | 0.101464i | ||||
\(584\) | 1.71720 | − | 37.5595i | 0.0710581 | − | 1.55422i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −19.1953 | − | 19.7891i | −0.792951 | − | 0.817479i | ||||
\(587\) | 0.554497 | + | 2.06941i | 0.0228865 | + | 0.0854137i | 0.976425 | − | 0.215859i | \(-0.0692552\pi\) |
−0.953538 | + | 0.301273i | \(0.902589\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.57282 | − | 20.7981i | 0.229624 | − | 0.856969i | ||||
\(590\) | −2.34197 | − | 4.20296i | −0.0964175 | − | 0.173033i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.572743 | + | 2.81268i | 0.0235396 | + | 0.115600i | ||||
\(593\) | 13.9278i | 0.571945i | 0.958238 | + | 0.285973i | \(0.0923166\pi\) | ||||
−0.958238 | + | 0.285973i | \(0.907683\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.50844 | − | 3.50844i | 0.143832 | − | 0.143832i | ||||
\(596\) | 11.1448 | − | 2.62526i | 0.456510 | − | 0.107535i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −18.2594 | − | 5.19187i | −0.746682 | − | 0.212312i | ||||
\(599\) | −20.2130 | + | 11.6700i | −0.825881 | + | 0.476823i | −0.852440 | − | 0.522825i | \(-0.824878\pi\) |
0.0265594 | + | 0.999647i | \(0.491545\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.3379 | − | 5.96857i | −0.421691 | − | 0.243463i | 0.274110 | − | 0.961698i | \(-0.411617\pi\) |
−0.695800 | + | 0.718235i | \(0.744950\pi\) | |||||||
\(602\) | 1.25055 | + | 1.28923i | 0.0509685 | + | 0.0525451i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −32.3900 | − | 0.986853i | −1.31793 | − | 0.0401545i | ||||
\(605\) | −0.00865733 | − | 0.0323096i | −0.000351971 | − | 0.00131357i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.3919 | + | 5.99979i | −0.421796 | + | 0.243524i | −0.695845 | − | 0.718192i | \(-0.744970\pi\) |
0.274050 | + | 0.961716i | \(0.411637\pi\) | |||||||
\(608\) | −18.8422 | − | 6.62167i | −0.764153 | − | 0.268544i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.36145 | + | 5.59663i | 0.379034 | + | 0.226601i | ||||
\(611\) | −42.6603 | − | 42.6603i | −1.72585 | − | 1.72585i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −18.1803 | + | 18.1803i | −0.734296 | + | 0.734296i | −0.971468 | − | 0.237172i | \(-0.923780\pi\) |
0.237172 | + | 0.971468i | \(0.423780\pi\) | |||||||
\(614\) | 2.13641 | + | 8.48820i | 0.0862185 | + | 0.342556i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 11.5716 | + | 3.67466i | 0.466232 | + | 0.148056i | ||||
\(617\) | −18.9672 | − | 32.8521i | −0.763589 | − | 1.32257i | −0.940989 | − | 0.338436i | \(-0.890102\pi\) |
0.177401 | − | 0.984139i | \(-0.443231\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.00230201 | 0.000616823i | −9.25258e−5 | 2.47922e-5i | −0.258865 | − | 0.965913i | \(-0.583349\pi\) | ||
0.258773 | + | 0.965938i | \(0.416682\pi\) | |||||||
\(620\) | −6.11104 | + | 5.74967i | −0.245425 | + | 0.230912i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.0659686 | − | 4.33139i | 0.00264510 | − | 0.173673i | ||||
\(623\) | 8.22368 | − | 14.2438i | 0.329475 | − | 0.570667i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9.06281 | + | 15.6972i | 0.362512 | + | 0.627890i | ||||
\(626\) | −3.70209 | + | 2.06288i | −0.147965 | + | 0.0824493i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 15.2508 | − | 3.59246i | 0.608575 | − | 0.143355i | ||||
\(629\) | −2.83406 | − | 2.83406i | −0.113001 | − | 0.113001i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −39.2643 | −1.56309 | −0.781543 | − | 0.623852i | \(-0.785567\pi\) | ||||
−0.781543 | + | 0.623852i | \(0.785567\pi\) | |||||||
\(632\) | 6.87867 | + | 4.40209i | 0.273619 | + | 0.175106i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −13.0181 | − | 3.70158i | −0.517016 | − | 0.147008i | ||||
\(635\) | 11.6387 | + | 3.11858i | 0.461868 | + | 0.123757i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 25.3140 | − | 6.78286i | 1.00298 | − | 0.268747i | ||||
\(638\) | 0.219134 | − | 14.3880i | 0.00867560 | − | 0.569625i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 4.88648 | + | 6.05761i | 0.193155 | + | 0.239448i | ||||
\(641\) | −15.2983 | − | 8.83246i | −0.604245 | − | 0.348861i | 0.166465 | − | 0.986047i | \(-0.446765\pi\) |
−0.770710 | + | 0.637186i | \(0.780098\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.60298 | − | 1.76926i | −0.260396 | − | 0.0697729i | 0.126259 | − | 0.991997i | \(-0.459703\pi\) |
−0.386655 | + | 0.922224i | \(0.626370\pi\) | |||||||
\(644\) | −6.21358 | + | 3.33935i | −0.244849 | + | 0.131589i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 27.0435 | − | 6.80661i | 1.06401 | − | 0.267803i | ||||
\(647\) | 4.24252i | 0.166791i | 0.996517 | + | 0.0833953i | \(0.0265764\pi\) | ||||
−0.996517 | + | 0.0833953i | \(0.973424\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 16.4392i | 0.645293i | ||||||||
\(650\) | −7.67955 | − | 30.5117i | −0.301217 | − | 1.19677i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 13.2652 | + | 3.99114i | 0.519505 | + | 0.156305i | ||||
\(653\) | 26.6484 | + | 7.14041i | 1.04283 | + | 0.279426i | 0.739286 | − | 0.673391i | \(-0.235163\pi\) |
0.303545 | + | 0.952817i | \(0.401830\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.39431 | − | 4.26911i | −0.288919 | − | 0.166808i | ||||
\(656\) | −39.1187 | − | 2.38594i | −1.52733 | − | 0.0931551i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −22.4161 | − | 0.341405i | −0.873869 | − | 0.0133093i | ||||
\(659\) | 10.1504 | − | 2.71978i | 0.395402 | − | 0.105948i | −0.0556391 | − | 0.998451i | \(-0.517720\pi\) |
0.451041 | + | 0.892503i | \(0.351053\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −28.3410 | − | 7.59396i | −1.10234 | − | 0.295371i | −0.338622 | − | 0.940922i | \(-0.609961\pi\) |
−0.763717 | + | 0.645552i | \(0.776628\pi\) | |||||||
\(662\) | 5.84105 | − | 20.5425i | 0.227019 | − | 0.798407i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.8560 | − | 2.38333i | 0.421294 | − | 0.0924910i | ||||
\(665\) | −3.13641 | −0.121625 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.91179 | + | 5.91179i | 0.228905 | + | 0.228905i | ||||
\(668\) | −36.8886 | − | 22.8230i | −1.42726 | − | 0.883049i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.0540992 | + | 0.0970876i | 0.00209003 | + | 0.00375082i | ||||
\(671\) | −18.6327 | − | 32.2728i | −0.719307 | − | 1.24588i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.32418 | + | 9.22175i | −0.205232 | + | 0.355472i | −0.950207 | − | 0.311621i | \(-0.899128\pi\) |
0.744975 | + | 0.667093i | \(0.232462\pi\) | |||||||
\(674\) | 3.09529 | + | 0.0471425i | 0.119226 | + | 0.00181586i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.679401 | + | 22.2990i | −0.0261308 | + | 0.857654i | ||||
\(677\) | −21.2938 | + | 5.70565i | −0.818387 | + | 0.219286i | −0.643641 | − | 0.765327i | \(-0.722577\pi\) |
−0.174746 | + | 0.984614i | \(0.555910\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.69587 | − | 9.86554i | −0.218587 | − | 0.378605i | ||||
\(680\) | −10.3575 | − | 3.28912i | −0.397192 | − | 0.126132i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 27.8014 | − | 6.99738i | 1.06457 | − | 0.267943i | ||||
\(683\) | −1.68202 | + | 1.68202i | −0.0643609 | + | 0.0643609i | −0.738555 | − | 0.674194i | \(-0.764491\pi\) |
0.674194 | + | 0.738555i | \(0.264491\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.86488 | − | 4.86488i | −0.185877 | − | 0.185877i | ||||
\(686\) | 11.5570 | − | 19.3313i | 0.441247 | − | 0.738071i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.24760 | − | 3.73079i | 0.0475644 | − | 0.142235i | ||||
\(689\) | −3.62237 | + | 2.09138i | −0.138001 | + | 0.0796751i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.595784 | − | 2.22350i | −0.0226647 | − | 0.0845858i | 0.953667 | − | 0.300864i | \(-0.0972749\pi\) |
−0.976332 | + | 0.216278i | \(0.930608\pi\) | |||||||
\(692\) | 11.5906 | − | 10.9052i | 0.440607 | − | 0.414553i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 29.0906 | − | 28.2178i | 1.10426 | − | 1.07113i | ||||
\(695\) | −0.848565 | − | 0.489919i | −0.0321879 | − | 0.0185837i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 47.3917 | − | 27.3616i | 1.79509 | − | 1.03639i | ||||
\(698\) | −9.24393 | + | 32.5101i | −0.349888 | + | 1.23053i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −9.94253 | − | 6.15146i | −0.375792 | − | 0.232503i | ||||
\(701\) | −10.2728 | + | 10.2728i | −0.387997 | + | 0.387997i | −0.873972 | − | 0.485976i | \(-0.838464\pi\) |
0.485976 | + | 0.873972i | \(0.338464\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.53353i | 0.0955540i | ||||||||
\(704\) | −4.50994 | − | 26.2063i | −0.169975 | − | 0.987689i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.507500 | − | 0.282789i | 0.0191000 | − | 0.0106429i | ||||
\(707\) | 2.43091 | − | 9.07228i | 0.0914238 | − | 0.341198i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.30925 | + | 4.88619i | 0.0491700 | + | 0.183505i | 0.986143 | − | 0.165896i | \(-0.0530517\pi\) |
−0.936973 | + | 0.349401i | \(0.886385\pi\) | |||||||
\(710\) | −0.0312775 | + | 0.0303391i | −0.00117382 | + | 0.00113860i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −35.9858 | − | 1.64525i | −1.34863 | − | 0.0616584i | ||||
\(713\) | −8.32834 | + | 14.4251i | −0.311899 | + | 0.540224i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.90859 | − | 10.8550i | 0.108775 | − | 0.405955i | ||||
\(716\) | 7.72529 | − | 25.6762i | 0.288708 | − | 0.959566i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.44911 | − | 0.866331i | −0.0540802 | − | 0.0323312i | ||||
\(719\) | −6.73858 | −0.251307 | −0.125653 | − | 0.992074i | \(-0.540103\pi\) | ||||
−0.125653 | + | 0.992074i | \(0.540103\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 24.5544 | 0.914452 | ||||||||
\(722\) | 7.93255 | + | 4.74238i | 0.295219 | + | 0.176493i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −21.6700 | − | 6.51991i | −0.805358 | − | 0.242311i | ||||
\(725\) | −3.58646 | + | 13.3849i | −0.133198 | + | 0.497101i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.14056 | + | 7.17166i | −0.153565 | + | 0.265982i | −0.932536 | − | 0.361078i | \(-0.882409\pi\) |
0.778971 | + | 0.627060i | \(0.215742\pi\) | |||||||
\(728\) | 12.1007 | + | 13.2601i | 0.448481 | + | 0.491454i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −9.28270 | + | 9.00419i | −0.343568 | + | 0.333260i | ||||
\(731\) | 1.42166 | + | 5.30572i | 0.0525821 | + | 0.196239i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −11.7070 | + | 43.6909i | −0.432406 | + | 1.61376i | 0.314792 | + | 0.949161i | \(0.398065\pi\) |
−0.747198 | + | 0.664601i | \(0.768601\pi\) | |||||||
\(734\) | 23.0659 | − | 12.8528i | 0.851378 | − | 0.474405i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 12.7537 | + | 8.72047i | 0.470106 | + | 0.321441i | ||||
\(737\) | − | 0.379742i | − | 0.0139880i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 22.0530 | − | 22.0530i | 0.811234 | − | 0.811234i | −0.173585 | − | 0.984819i | \(-0.555535\pi\) |
0.984819 | + | 0.173585i | \(0.0555352\pi\) | |||||||
\(740\) | 0.519454 | − | 0.839588i | 0.0190955 | − | 0.0308639i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.425097 | + | 1.49503i | −0.0156058 | + | 0.0548843i | ||||
\(743\) | −29.9386 | + | 17.2851i | −1.09834 | + | 0.634128i | −0.935785 | − | 0.352571i | \(-0.885307\pi\) |
−0.162557 | + | 0.986699i | \(0.551974\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.41062 | − | 1.96912i | −0.124955 | − | 0.0721431i | ||||
\(746\) | 12.1320 | − | 11.7680i | 0.444185 | − | 0.430858i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 25.4431 | + | 27.0423i | 0.930293 | + | 0.988763i | ||||
\(749\) | 3.91756 | + | 14.6205i | 0.143144 | + | 0.534222i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −38.8676 | + | 22.4402i | −1.41830 | + | 0.818855i | −0.996149 | − | 0.0876713i | \(-0.972057\pi\) |
−0.422149 | + | 0.906526i | \(0.638724\pi\) | |||||||
\(752\) | 21.9166 | + | 43.9393i | 0.799217 | + | 1.60230i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 10.9175 | − | 18.2617i | 0.397593 | − | 0.665051i | ||||
\(755\) | 7.88134 | + | 7.88134i | 0.286832 | + | 0.286832i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 27.6111 | − | 27.6111i | 1.00354 | − | 1.00354i | 0.00354931 | − | 0.999994i | \(-0.498870\pi\) |
0.999994 | − | 0.00354931i | \(-0.00112978\pi\) | |||||||
\(758\) | 29.8006 | − | 7.50057i | 1.08241 | − | 0.272433i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.15943 | + | 6.09977i | 0.114605 | + | 0.221262i | ||||
\(761\) | 17.8578 | + | 30.9307i | 0.647346 | + | 1.12124i | 0.983754 | + | 0.179520i | \(0.0574545\pi\) |
−0.336408 | + | 0.941716i | \(0.609212\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −25.3672 | + | 6.79711i | −0.918353 | + | 0.246072i | ||||
\(764\) | 36.9023 | + | 1.12433i | 1.33508 | + | 0.0406769i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 31.4378 | + | 0.478809i | 1.13589 | + | 0.0173001i | ||||
\(767\) | −12.1534 | + | 21.0502i | −0.438832 | + | 0.760079i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.6077 | − | 39.1577i | −0.815254 | − | 1.41206i | −0.909145 | − | 0.416479i | \(-0.863264\pi\) |
0.0938910 | − | 0.995582i | \(-0.470069\pi\) | |||||||
\(770\) | −2.03267 | − | 3.64788i | −0.0732523 | − | 0.131460i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.50645 | − | 8.90002i | 0.198182 | − | 0.320319i | ||||
\(773\) | −5.57961 | − | 5.57961i | −0.200685 | − | 0.200685i | 0.599609 | − | 0.800293i | \(-0.295323\pi\) |
−0.800293 | + | 0.599609i | \(0.795323\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −27.6073 | −0.991684 | ||||||||
\(776\) | −13.4491 | + | 21.0154i | −0.482794 | + | 0.754410i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.26022 | + | 22.0167i | −0.224440 | + | 0.789336i | ||||
\(779\) | −33.4132 | − | 8.95305i | −1.19715 | − | 0.320776i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.143808 | − | 0.0385333i | 0.00514586 | − | 0.00137883i | ||||
\(782\) | −21.5704 | − | 0.328526i | −0.771357 | − | 0.0117481i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −21.2897 | − | 1.29851i | −0.760347 | − | 0.0463753i | ||||
\(785\) | −4.66717 | − | 2.69459i | −0.166578 | − | 0.0961741i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 8.95529 | + | 2.39956i | 0.319221 | + | 0.0855351i | 0.414872 | − | 0.909880i | \(-0.363826\pi\) |
−0.0956504 | + | 0.995415i | \(0.530493\pi\) | |||||||
\(788\) | −11.7000 | + | 38.8867i | −0.416794 | + | 1.38528i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.685612 | − | 2.72402i | −0.0243930 | − | 0.0969161i | ||||
\(791\) | − | 3.26235i | − | 0.115996i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 55.1001i | − | 1.95666i | ||||||
\(794\) | 28.2834 | − | 7.11870i | 1.00374 | − | 0.252633i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 13.0996 | + | 24.3746i | 0.464304 | + | 0.863936i | ||||
\(797\) | 24.5310 | + | 6.57307i | 0.868934 | + | 0.232830i | 0.665627 | − | 0.746285i | \(-0.268164\pi\) |
0.203307 | + | 0.979115i | \(0.434831\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −59.3759 | − | 34.2807i | −2.10057 | − | 1.21276i | ||||
\(800\) | −1.94801 | + | 25.5331i | −0.0688726 | + | 0.902732i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.695278 | + | 45.6508i | −0.0245511 | + | 1.61198i | ||||
\(803\) | 42.6801 | − | 11.4361i | 1.50615 | − | 0.403571i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.34361 | + | 0.627969i | 0.0826014 | + | 0.0221330i | ||||
\(806\) | 40.7726 | + | 11.5933i | 1.43615 | + | 0.408355i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −20.0928 | + | 4.41118i | −0.706862 | + | 0.155185i | ||||
\(809\) | −33.1931 | −1.16701 | −0.583503 | − | 0.812111i | \(-0.698318\pi\) | ||||
−0.583503 | + | 0.812111i | \(0.698318\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.35128 | + | 7.35128i | 0.258138 | + | 0.258138i | 0.824297 | − | 0.566158i | \(-0.191571\pi\) |
−0.566158 | + | 0.824297i | \(0.691571\pi\) | |||||||
\(812\) | −1.81275 | − | 7.69556i | −0.0636152 | − | 0.270061i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.94669 | + | 1.64195i | −0.103281 | + | 0.0575504i | ||||
\(815\) | −2.38234 | − | 4.12633i | −0.0834497 | − | 0.144539i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.73610 | − | 3.00701i | 0.0607383 | − | 0.105202i | ||||
\(818\) | 0.323224 | − | 21.2223i | 0.0113013 | − | 0.742021i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.23716 | + | 9.81772i | 0.322576 | + | 0.342850i | ||||
\(821\) | −38.6179 | + | 10.3476i | −1.34777 | + | 0.361135i | −0.859313 | − | 0.511450i | \(-0.829109\pi\) |
−0.488462 | + | 0.872585i | \(0.662442\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 11.8717 | + | 20.5623i | 0.413821 | + | 0.716758i | 0.995304 | − | 0.0968000i | \(-0.0308607\pi\) |
−0.581483 | + | 0.813558i | \(0.697527\pi\) | |||||||
\(824\) | −24.7346 | − | 47.7540i | −0.861670 | − | 1.66359i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.20459 | + | 8.75908i | 0.0767075 | + | 0.304768i | ||||
\(827\) | −25.1545 | + | 25.1545i | −0.874708 | + | 0.874708i | −0.992981 | − | 0.118273i | \(-0.962264\pi\) |
0.118273 | + | 0.992981i | \(0.462264\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.12372 | + | 6.12372i | 0.212686 | + | 0.212686i | 0.805407 | − | 0.592722i | \(-0.201947\pi\) |
−0.592722 | + | 0.805407i | \(0.701947\pi\) | |||||||
\(830\) | −3.28124 | − | 1.96165i | −0.113893 | − | 0.0680897i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 13.5992 | − | 36.8912i | 0.471468 | − | 1.27897i | ||||
\(833\) | 25.7922 | − | 14.8911i | 0.893646 | − | 0.515947i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.86161 | + | 14.4117i | 0.133637 | + | 0.498739i | ||||
\(836\) | 0.714772 | − | 23.4599i | 0.0247209 | − | 0.811379i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 22.8538 | + | 23.5607i | 0.789472 | + | 0.813892i | ||||
\(839\) | 35.2084 | + | 20.3276i | 1.21553 | + | 0.701786i | 0.963958 | − | 0.266054i | \(-0.0857198\pi\) |
0.251570 | + | 0.967839i | \(0.419053\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 16.9997 | − | 9.81476i | 0.586195 | − | 0.338440i | ||||
\(842\) | 21.2916 | + | 6.05405i | 0.733757 | + | 0.208636i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 12.1763 | + | 51.6910i | 0.419124 | + | 1.77928i | ||||
\(845\) | 5.42593 | − | 5.42593i | 0.186658 | − | 0.186658i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.0627931i | 0.00215760i | ||||||||
\(848\) | 3.33580 | − | 0.679265i | 0.114552 | − | 0.0233261i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −17.4042 | − | 31.2340i | −0.596960 | − | 1.07132i | ||||
\(851\) | 0.507262 | − | 1.89313i | 0.0173887 | − | 0.0648955i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 11.1499 | + | 41.6120i | 0.381765 | + | 1.42477i | 0.843203 | + | 0.537595i | \(0.180667\pi\) |
−0.461437 | + | 0.887173i | \(0.652666\pi\) | |||||||
\(854\) | −14.2558 | − | 14.6968i | −0.487824 | − | 0.502913i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 24.4881 | − | 22.3468i | 0.836985 | − | 0.763798i | ||||
\(857\) | −4.72246 | + | 8.17953i | −0.161316 | + | 0.279408i | −0.935341 | − | 0.353748i | \(-0.884907\pi\) |
0.774025 | + | 0.633155i | \(0.218241\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.87045 | + | 21.9088i | −0.200297 | + | 0.747519i | 0.790535 | + | 0.612417i | \(0.209803\pi\) |
−0.990832 | + | 0.135102i | \(0.956864\pi\) | |||||||
\(860\) | −1.19186 | + | 0.640539i | −0.0406420 | + | 0.0218422i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1.18878 | − | 1.98847i | 0.0404902 | − | 0.0677277i | ||||
\(863\) | 3.58147 | 0.121915 | 0.0609573 | − | 0.998140i | \(-0.480585\pi\) | ||||
0.0609573 | + | 0.998140i | \(0.480585\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.47380 | −0.186115 | ||||||||
\(866\) | 17.5094 | − | 29.2879i | 0.594994 | − | 0.995243i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 13.8747 | − | 7.45666i | 0.470938 | − | 0.253096i | ||||
\(869\) | −2.48399 | + | 9.27039i | −0.0842637 | + | 0.314476i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.280740 | − | 0.486256i | 0.00951252 | − | 0.0164762i | ||||
\(872\) | 38.7726 | + | 42.4877i | 1.31300 | + | 1.43882i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 9.49471 | + | 9.78840i | 0.321163 | + | 0.331098i | ||||
\(875\) | 2.19044 | + | 8.17482i | 0.0740503 | + | 0.276359i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.52743 | − | 16.8966i | 0.152881 | − | 0.570558i | −0.846397 | − | 0.532553i | \(-0.821233\pi\) |
0.999278 | − | 0.0380056i | \(-0.0121005\pi\) | |||||||
\(878\) | −8.32308 | − | 14.9368i | −0.280890 | − | 0.504092i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.04690 | + | 7.62784i | −0.170131 | + | 0.257135i | ||||
\(881\) | 46.1363i | 1.55437i | 0.629272 | + | 0.777185i | \(0.283353\pi\) | ||||
−0.629272 | + | 0.777185i | \(0.716647\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 19.7311 | − | 19.7311i | 0.664003 | − | 0.664003i | −0.292318 | − | 0.956321i | \(-0.594427\pi\) |
0.956321 | + | 0.292318i | \(0.0944265\pi\) | |||||||
\(884\) | 12.5876 | + | 53.4373i | 0.423367 | + | 1.79729i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 22.8863 | + | 6.50748i | 0.768879 | + | 0.218623i | ||||
\(887\) | −29.7760 | + | 17.1912i | −0.999780 | + | 0.577223i | −0.908183 | − | 0.418573i | \(-0.862530\pi\) |
−0.0915965 | + | 0.995796i | \(0.529197\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −19.5891 | − | 11.3098i | −0.656999 | − | 0.379318i | ||||
\(890\) | 8.62694 | + | 8.89378i | 0.289176 | + | 0.298120i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0.195000 | − | 6.40020i | 0.00652909 | − | 0.214295i | ||||
\(893\) | 11.2171 | + | 41.8626i | 0.375364 | + | 1.40088i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.98697 | + | 4.61128i | −0.266975 | + | 0.154138i | ||||
\(896\) | −5.91741 | − | 13.3584i | −0.197687 | − | 0.446273i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −38.6327 | − | 23.0961i | −1.28919 | − | 0.770726i | ||||
\(899\) | −13.2008 | − | 13.2008i | −0.440272 | − | 0.440272i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.36115 | + | 3.36115i | −0.111976 | + | 0.111976i | ||||
\(902\) | −11.2417 | − | 44.6644i | −0.374306 | − | 1.48716i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6.34470 | + | 3.28629i | −0.211022 | + | 0.109300i | ||||
\(905\) | 3.89178 | + | 6.74076i | 0.129367 | + | 0.224070i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −53.7121 | + | 14.3921i | −1.78348 | + | 0.477883i | −0.991211 | − | 0.132287i | \(-0.957768\pi\) |
−0.792271 | + | 0.610170i | \(0.791101\pi\) | |||||||
\(908\) | 3.94850 | + | 4.19666i | 0.131035 | + | 0.139271i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.0940295 | − | 6.17382i | 0.00311705 | − | 0.204660i | ||||
\(911\) | 6.01435 | − | 10.4172i | 0.199264 | − | 0.345136i | −0.749026 | − | 0.662541i | \(-0.769478\pi\) |
0.948290 | + | 0.317405i | \(0.102811\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.53085 | + | 11.3118i | 0.216140 | + | 0.374365i | ||||
\(914\) | −35.4557 | + | 19.7566i | −1.17277 | + | 0.653491i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.36863 | + | 35.5268i | 0.276507 | + | 1.17384i | ||||
\(917\) | 11.3338 | + | 11.3338i | 0.374275 | + | 0.374275i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −11.8860 | −0.392084 | −0.196042 | − | 0.980595i | \(-0.562809\pi\) | ||||
−0.196042 | + | 0.980595i | \(0.562809\pi\) | |||||||
\(920\) | −1.13952 | − | 5.19050i | −0.0375690 | − | 0.171126i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.54336 | − | 0.723179i | −0.0837611 | − | 0.0238166i | ||||
\(923\) | 0.212633 | + | 0.0569747i | 0.00699889 | + | 0.00187535i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.13773 | − | 0.840752i | 0.103168 | − | 0.0276438i | ||||
\(926\) | −0.117375 | + | 7.70666i | −0.00385719 | + | 0.253257i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −13.1405 | + | 11.2775i | −0.431357 | + | 0.370204i | ||||
\(929\) | 3.44934 | + | 1.99148i | 0.113169 | + | 0.0653382i | 0.555516 | − | 0.831506i | \(-0.312521\pi\) |
−0.442347 | + | 0.896844i | \(0.645854\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −18.1846 | − | 4.87255i | −0.595977 | − | 0.159692i | ||||
\(932\) | 5.68627 | + | 10.5805i | 0.186260 | + | 0.346576i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −17.3630 | + | 4.37013i | −0.568136 | + | 0.142995i | ||||
\(935\) | − | 12.7711i | − | 0.417659i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 26.0017i | 0.849438i | 0.905325 | + | 0.424719i | \(0.139627\pi\) | ||||
−0.905325 | + | 0.424719i | \(0.860373\pi\) | |||||||
\(938\) | −0.0509256 | − | 0.202333i | −0.00166278 | − | 0.00660642i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.86594 | − | 16.1727i | 0.158709 | − | 0.527496i | ||||
\(941\) | 41.3717 | + | 11.0855i | 1.34868 | + | 0.361378i | 0.859648 | − | 0.510888i | \(-0.170683\pi\) |
0.489033 | + | 0.872265i | \(0.337350\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 23.1747 | + | 13.3799i | 0.754673 | + | 0.435710i | ||||
\(944\) | 14.8141 | − | 13.1109i | 0.482159 | − | 0.426724i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.62252 | + | 0.0704026i | 0.150291 | + | 0.00228899i | ||||
\(947\) | −17.6066 | + | 4.71769i | −0.572139 | + | 0.153304i | −0.533277 | − | 0.845940i | \(-0.679040\pi\) |
−0.0388617 | + | 0.999245i | \(0.512373\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 63.1062 | + | 16.9093i | 2.04851 | + | 0.548898i | ||||
\(950\) | −6.18164 | + | 21.7403i | −0.200559 | + | 0.705349i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 17.1831 | + | 10.9965i | 0.556908 | + | 0.356400i | ||||
\(953\) | −16.9031 | −0.547545 | −0.273772 | − | 0.961795i | \(-0.588271\pi\) | ||||
−0.273772 | + | 0.961795i | \(0.588271\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.97930 | − | 8.97930i | −0.290563 | − | 0.290563i | ||||
\(956\) | −12.6440 | + | 20.4363i | −0.408936 | + | 0.660958i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.88985 | − | 10.5701i | −0.190292 | − | 0.341503i | ||||
\(959\) | 6.45774 | + | 11.1851i | 0.208531 | + | 0.361187i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.09688 | − | 5.36395i | 0.0998993 | − | 0.173031i | ||||
\(962\) | −4.98709 | − | 0.0759553i | −0.160790 | − | 0.00244890i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −6.07410 | − | 0.185065i | −0.195634 | − | 0.00596053i | ||||
\(965\) | −3.47708 | + | 0.931682i | −0.111931 | + | 0.0299919i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.50617 | + | 2.60876i | 0.0484351 | + | 0.0838921i | 0.889227 | − | 0.457467i | \(-0.151243\pi\) |
−0.840791 | + | 0.541359i | \(0.817910\pi\) | |||||||
\(968\) | 0.122122 | − | 0.0632540i | 0.00392514 | − | 0.00203306i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 8.32230 | − | 2.09465i | 0.267213 | − | 0.0672553i | ||||
\(971\) | 35.4934 | − | 35.4934i | 1.13904 | − | 1.13904i | 0.150413 | − | 0.988623i | \(-0.451940\pi\) |
0.988623 | − | 0.150413i | \(-0.0480604\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.30066 | + | 1.30066i | 0.0416972 | + | 0.0416972i | ||||
\(974\) | −9.55632 | + | 15.9848i | −0.306204 | + | 0.512186i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −14.2222 | + | 42.5297i | −0.455242 | + | 1.36134i | ||||
\(977\) | −8.03784 | + | 4.64065i | −0.257153 | + | 0.148467i | −0.623035 | − | 0.782194i | \(-0.714101\pi\) |
0.365882 | + | 0.930661i | \(0.380767\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −10.9570 | − | 40.8920i | −0.350186 | − | 1.30691i | ||||
\(980\) | 5.02718 | + | 5.34314i | 0.160587 | + | 0.170680i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −8.50923 | + | 8.25392i | −0.271540 | + | 0.263393i | ||||
\(983\) | −11.0480 | − | 6.37856i | −0.352376 | − | 0.203444i | 0.313355 | − | 0.949636i | \(-0.398547\pi\) |
−0.665731 | + | 0.746192i | \(0.731880\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 12.0963 | − | 6.98379i | 0.385420 | − | 0.222522i | ||||
\(986\) | 6.61290 | − | 23.2570i | 0.210598 | − | 0.740655i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 18.2590 | − | 29.5118i | 0.580897 | − | 0.938897i | ||||
\(989\) | −1.89932 | + | 1.89932i | −0.0603949 | + | 0.0603949i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 6.60967i | − | 0.209963i | −0.994474 | − | 0.104982i | \(-0.966522\pi\) | ||
0.994474 | − | 0.104982i | \(-0.0334784\pi\) | |||||||
\(992\) | −28.4785 | − | 19.4725i | −0.904192 | − | 0.618252i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.0714560 | − | 0.0398167i | 0.00226645 | − | 0.00126291i | ||||
\(995\) | 2.46340 | − | 9.19352i | 0.0780949 | − | 0.291454i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −9.80194 | − | 36.5814i | −0.310431 | − | 1.15854i | −0.928169 | − | 0.372159i | \(-0.878618\pi\) |
0.617738 | − | 0.786384i | \(-0.288049\pi\) | |||||||
\(998\) | 32.8894 | − | 31.9026i | 1.04109 | − | 1.00986i | ||||
\(999\) | 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 | 432.2.v.a.35.15 | 88 | ||
3.2 | odd | 2 | 144.2.u.a.83.8 | yes | 88 | ||
4.3 | odd | 2 | 1728.2.z.a.1007.10 | 88 | |||
9.4 | even | 3 | 144.2.u.a.131.15 | yes | 88 | ||
9.5 | odd | 6 | inner | 432.2.v.a.179.8 | 88 | ||
12.11 | even | 2 | 576.2.y.a.47.5 | 88 | |||
16.5 | even | 4 | 1728.2.z.a.143.10 | 88 | |||
16.11 | odd | 4 | inner | 432.2.v.a.251.8 | 88 | ||
36.23 | even | 6 | 1728.2.z.a.1583.10 | 88 | |||
36.31 | odd | 6 | 576.2.y.a.239.7 | 88 | |||
48.5 | odd | 4 | 576.2.y.a.335.7 | 88 | |||
48.11 | even | 4 | 144.2.u.a.11.15 | ✓ | 88 | ||
144.5 | odd | 12 | 1728.2.z.a.719.10 | 88 | |||
144.59 | even | 12 | inner | 432.2.v.a.395.15 | 88 | ||
144.85 | even | 12 | 576.2.y.a.527.5 | 88 | |||
144.139 | odd | 12 | 144.2.u.a.59.8 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.15 | ✓ | 88 | 48.11 | even | 4 | ||
144.2.u.a.59.8 | yes | 88 | 144.139 | odd | 12 | ||
144.2.u.a.83.8 | yes | 88 | 3.2 | odd | 2 | ||
144.2.u.a.131.15 | yes | 88 | 9.4 | even | 3 | ||
432.2.v.a.35.15 | 88 | 1.1 | even | 1 | trivial | ||
432.2.v.a.179.8 | 88 | 9.5 | odd | 6 | inner | ||
432.2.v.a.251.8 | 88 | 16.11 | odd | 4 | inner | ||
432.2.v.a.395.15 | 88 | 144.59 | even | 12 | inner | ||
576.2.y.a.47.5 | 88 | 12.11 | even | 2 | |||
576.2.y.a.239.7 | 88 | 36.31 | odd | 6 | |||
576.2.y.a.335.7 | 88 | 48.5 | odd | 4 | |||
576.2.y.a.527.5 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.143.10 | 88 | 16.5 | even | 4 | |||
1728.2.z.a.719.10 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.1007.10 | 88 | 4.3 | odd | 2 | |||
1728.2.z.a.1583.10 | 88 | 36.23 | even | 6 |