Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(19,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 21, 0, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.cf (of order \(24\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 619.17 | ||
Character | \(\chi\) | \(=\) | 672.619 |
Dual form | 672.2.cf.a.355.17 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{8}\right)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.888289 | + | 1.10043i | −0.628115 | + | 0.778121i | ||||
\(3\) | 0.130526 | − | 0.991445i | 0.0753593 | − | 0.572411i | ||||
\(4\) | −0.421886 | − | 1.95500i | −0.210943 | − | 0.977498i | ||||
\(5\) | 0.0995259 | + | 0.755974i | 0.0445093 | + | 0.338082i | 0.999183 | + | 0.0404259i | \(0.0128715\pi\) |
−0.954673 | + | 0.297656i | \(0.903795\pi\) | |||||||
\(6\) | 0.975069 | + | 1.02432i | 0.398070 | + | 0.418179i | ||||
\(7\) | −0.0601885 | + | 2.64507i | −0.0227491 | + | 0.999741i | ||||
\(8\) | 2.52609 | + | 1.27235i | 0.893108 | + | 0.449842i | ||||
\(9\) | −0.965926 | − | 0.258819i | −0.321975 | − | 0.0862730i | ||||
\(10\) | −0.920303 | − | 0.562002i | −0.291025 | − | 0.177721i | ||||
\(11\) | −2.89434 | − | 3.77198i | −0.872678 | − | 1.13730i | −0.989556 | − | 0.144149i | \(-0.953955\pi\) |
0.116878 | − | 0.993146i | \(-0.462711\pi\) | |||||||
\(12\) | −1.99334 | + | 0.163099i | −0.575427 | + | 0.0470826i | ||||
\(13\) | −3.74004 | + | 1.54918i | −1.03730 | + | 0.429664i | −0.835342 | − | 0.549730i | \(-0.814731\pi\) |
−0.201959 | + | 0.979394i | \(0.564731\pi\) | |||||||
\(14\) | −2.85724 | − | 2.41582i | −0.763630 | − | 0.645654i | ||||
\(15\) | 0.762497 | 0.196876 | ||||||||
\(16\) | −3.64402 | + | 1.64957i | −0.911006 | + | 0.412393i | ||||
\(17\) | −1.44072 | + | 2.49540i | −0.349426 | + | 0.605223i | −0.986148 | − | 0.165870i | \(-0.946957\pi\) |
0.636722 | + | 0.771094i | \(0.280290\pi\) | |||||||
\(18\) | 1.14283 | − | 0.833026i | 0.269368 | − | 0.196346i | ||||
\(19\) | 1.73131 | − | 2.25629i | 0.397191 | − | 0.517629i | −0.551354 | − | 0.834271i | \(-0.685889\pi\) |
0.948545 | + | 0.316642i | \(0.102555\pi\) | |||||||
\(20\) | 1.43594 | − | 0.513508i | 0.321085 | − | 0.114824i | ||||
\(21\) | 2.61458 | + | 0.404924i | 0.570548 | + | 0.0883617i | ||||
\(22\) | 6.72181 | + | 0.165590i | 1.43309 | + | 0.0353040i | ||||
\(23\) | −2.27414 | + | 8.48720i | −0.474191 | + | 1.76970i | 0.150268 | + | 0.988645i | \(0.451986\pi\) |
−0.624458 | + | 0.781058i | \(0.714680\pi\) | |||||||
\(24\) | 1.59118 | − | 2.33841i | 0.324799 | − | 0.477325i | ||||
\(25\) | 4.26804 | − | 1.14362i | 0.853608 | − | 0.228723i | ||||
\(26\) | 1.61748 | − | 5.49176i | 0.317214 | − | 1.07702i | ||||
\(27\) | −0.382683 | + | 0.923880i | −0.0736475 | + | 0.177801i | ||||
\(28\) | 5.19649 | − | 0.998250i | 0.982044 | − | 0.188651i | ||||
\(29\) | −8.57393 | + | 3.55144i | −1.59214 | + | 0.659485i | −0.990276 | − | 0.139115i | \(-0.955574\pi\) |
−0.601862 | + | 0.798600i | \(0.705574\pi\) | |||||||
\(30\) | −0.677318 | + | 0.839074i | −0.123661 | + | 0.153193i | ||||
\(31\) | 3.21627 | − | 5.57074i | 0.577659 | − | 1.00053i | −0.418089 | − | 0.908406i | \(-0.637300\pi\) |
0.995747 | − | 0.0921279i | \(-0.0293668\pi\) | |||||||
\(32\) | 1.42171 | − | 5.47529i | 0.251325 | − | 0.967903i | ||||
\(33\) | −4.11750 | + | 2.37724i | −0.716765 | + | 0.413824i | ||||
\(34\) | −1.46623 | − | 3.80204i | −0.251457 | − | 0.652045i | ||||
\(35\) | −2.00559 | + | 0.217752i | −0.339007 | + | 0.0368067i | ||||
\(36\) | −0.0984793 | + | 1.99757i | −0.0164132 | + | 0.332929i | ||||
\(37\) | −4.02600 | + | 0.530033i | −0.661870 | + | 0.0871369i | −0.453975 | − | 0.891014i | \(-0.649995\pi\) |
−0.207895 | + | 0.978151i | \(0.566661\pi\) | |||||||
\(38\) | 0.944982 | + | 3.90943i | 0.153296 | + | 0.634193i | ||||
\(39\) | 1.04775 | + | 3.91025i | 0.167774 | + | 0.626142i | ||||
\(40\) | −0.710449 | + | 2.03629i | −0.112332 | + | 0.321966i | ||||
\(41\) | 1.76015 | + | 1.76015i | 0.274889 | + | 0.274889i | 0.831065 | − | 0.556176i | \(-0.187732\pi\) |
−0.556176 | + | 0.831065i | \(0.687732\pi\) | |||||||
\(42\) | −2.76809 | + | 2.51747i | −0.427126 | + | 0.388454i | ||||
\(43\) | −0.836412 | + | 2.01928i | −0.127552 | + | 0.307937i | −0.974735 | − | 0.223363i | \(-0.928296\pi\) |
0.847184 | + | 0.531300i | \(0.178296\pi\) | |||||||
\(44\) | −6.15313 | + | 7.24978i | −0.927619 | + | 1.09295i | ||||
\(45\) | 0.0995259 | − | 0.755974i | 0.0148364 | − | 0.112694i | ||||
\(46\) | −7.31947 | − | 10.0416i | −1.07920 | − | 1.48055i | ||||
\(47\) | −11.5358 | + | 6.66019i | −1.68267 | + | 0.971488i | −0.722788 | + | 0.691069i | \(0.757140\pi\) |
−0.959878 | + | 0.280419i | \(0.909527\pi\) | |||||||
\(48\) | 1.15982 | + | 3.82816i | 0.167406 | + | 0.552547i | ||||
\(49\) | −6.99275 | − | 0.318405i | −0.998965 | − | 0.0454864i | ||||
\(50\) | −2.53278 | + | 5.71253i | −0.358189 | + | 0.807874i | ||||
\(51\) | 2.28600 | + | 1.75411i | 0.320104 | + | 0.245624i | ||||
\(52\) | 4.60651 | + | 6.65819i | 0.638808 | + | 0.923325i | ||||
\(53\) | −7.68917 | + | 5.90011i | −1.05619 | + | 0.810442i | −0.982392 | − | 0.186831i | \(-0.940178\pi\) |
−0.0737970 | + | 0.997273i | \(0.523512\pi\) | |||||||
\(54\) | −0.676730 | − | 1.24179i | −0.0920913 | − | 0.168986i | ||||
\(55\) | 2.56346 | − | 2.56346i | 0.345657 | − | 0.345657i | ||||
\(56\) | −3.51748 | + | 6.60510i | −0.470043 | + | 0.882644i | ||||
\(57\) | −2.01101 | − | 2.01101i | −0.266365 | − | 0.266365i | ||||
\(58\) | 3.70802 | − | 12.5897i | 0.486887 | − | 1.65311i | ||||
\(59\) | −5.53749 | − | 7.21660i | −0.720920 | − | 0.939521i | 0.278863 | − | 0.960331i | \(-0.410042\pi\) |
−0.999783 | + | 0.0208094i | \(0.993376\pi\) | |||||||
\(60\) | −0.321687 | − | 1.49068i | −0.0415296 | − | 0.192446i | ||||
\(61\) | −0.108491 | + | 0.141389i | −0.0138909 | + | 0.0181030i | −0.800247 | − | 0.599670i | \(-0.795298\pi\) |
0.786356 | + | 0.617773i | \(0.211965\pi\) | |||||||
\(62\) | 3.27323 | + | 8.48770i | 0.415700 | + | 1.07794i | ||||
\(63\) | 0.742731 | − | 2.53936i | 0.0935753 | − | 0.319929i | ||||
\(64\) | 4.76227 | + | 6.42812i | 0.595284 | + | 0.803515i | ||||
\(65\) | −1.54337 | − | 2.67319i | −0.191431 | − | 0.331569i | ||||
\(66\) | 1.04155 | − | 6.64269i | 0.128205 | − | 0.817659i | ||||
\(67\) | 5.93704 | + | 0.781626i | 0.725325 | + | 0.0954908i | 0.484143 | − | 0.874989i | \(-0.339132\pi\) |
0.241182 | + | 0.970480i | \(0.422465\pi\) | |||||||
\(68\) | 5.48632 | + | 1.76383i | 0.665314 | + | 0.213895i | ||||
\(69\) | 8.11776 | + | 3.36248i | 0.977263 | + | 0.404796i | ||||
\(70\) | 1.54192 | − | 2.40044i | 0.184295 | − | 0.286907i | ||||
\(71\) | 8.88661 | − | 8.88661i | 1.05465 | − | 1.05465i | 0.0562288 | − | 0.998418i | \(-0.482092\pi\) |
0.998418 | − | 0.0562288i | \(-0.0179076\pi\) | |||||||
\(72\) | −2.11071 | − | 1.88279i | −0.248750 | − | 0.221889i | ||||
\(73\) | −14.8633 | + | 3.98260i | −1.73961 | + | 0.466128i | −0.982361 | − | 0.186993i | \(-0.940126\pi\) |
−0.757253 | + | 0.653121i | \(0.773459\pi\) | |||||||
\(74\) | 2.99299 | − | 4.90115i | 0.347928 | − | 0.569747i | ||||
\(75\) | −0.576743 | − | 4.38080i | −0.0665965 | − | 0.505851i | ||||
\(76\) | −5.14146 | − | 2.43281i | −0.589766 | − | 0.279063i | ||||
\(77\) | 10.1514 | − | 7.42870i | 1.15685 | − | 0.846579i | ||||
\(78\) | −5.23366 | − | 2.32046i | −0.592595 | − | 0.262740i | ||||
\(79\) | 3.57249 | + | 6.18773i | 0.401936 | + | 0.696174i | 0.993960 | − | 0.109747i | \(-0.0350040\pi\) |
−0.592023 | + | 0.805921i | \(0.701671\pi\) | |||||||
\(80\) | −1.60971 | − | 2.59061i | −0.179971 | − | 0.289639i | ||||
\(81\) | 0.866025 | + | 0.500000i | 0.0962250 | + | 0.0555556i | ||||
\(82\) | −3.50044 | + | 0.373398i | −0.386559 | + | 0.0412349i | ||||
\(83\) | 0.00841387 | + | 0.0203129i | 0.000923542 | + | 0.00222963i | 0.924341 | − | 0.381568i | \(-0.124616\pi\) |
−0.923417 | + | 0.383798i | \(0.874616\pi\) | |||||||
\(84\) | −0.311431 | − | 5.28233i | −0.0339800 | − | 0.576349i | ||||
\(85\) | −2.02985 | − | 0.840790i | −0.220168 | − | 0.0911964i | ||||
\(86\) | −1.47909 | − | 2.71411i | −0.159495 | − | 0.292670i | ||||
\(87\) | 2.40193 | + | 8.96413i | 0.257514 | + | 0.961056i | ||||
\(88\) | −2.51211 | − | 13.2110i | −0.267792 | − | 1.40829i | ||||
\(89\) | 4.32013 | + | 1.15758i | 0.457933 | + | 0.122703i | 0.480409 | − | 0.877045i | \(-0.340488\pi\) |
−0.0224760 | + | 0.999747i | \(0.507155\pi\) | |||||||
\(90\) | 0.743488 | + | 0.781044i | 0.0783705 | + | 0.0823293i | ||||
\(91\) | −3.87257 | − | 9.98590i | −0.405955 | − | 1.04681i | ||||
\(92\) | 17.5519 | + | 0.865298i | 1.82991 | + | 0.0902135i | ||||
\(93\) | −5.10327 | − | 3.91588i | −0.529185 | − | 0.406058i | ||||
\(94\) | 2.91804 | − | 18.6105i | 0.300973 | − | 1.91952i | ||||
\(95\) | 1.87801 | + | 1.08427i | 0.192680 | + | 0.111244i | ||||
\(96\) | −5.24287 | − | 2.12421i | −0.535099 | − | 0.216802i | ||||
\(97\) | 13.8124i | 1.40243i | 0.712949 | + | 0.701216i | \(0.247359\pi\) | ||||
−0.712949 | + | 0.701216i | \(0.752641\pi\) | |||||||
\(98\) | 6.56197 | − | 7.41219i | 0.662859 | − | 0.748744i | ||||
\(99\) | 1.81946 | + | 4.39257i | 0.182863 | + | 0.441470i | ||||
\(100\) | −4.03640 | − | 7.86152i | −0.403640 | − | 0.786152i | ||||
\(101\) | −9.18616 | + | 7.04879i | −0.914057 | + | 0.701380i | −0.954629 | − | 0.297796i | \(-0.903748\pi\) |
0.0405727 | + | 0.999177i | \(0.487082\pi\) | |||||||
\(102\) | −3.96090 | + | 0.957424i | −0.392187 | + | 0.0947991i | ||||
\(103\) | 2.80466 | − | 10.4671i | 0.276351 | − | 1.03136i | −0.678579 | − | 0.734527i | \(-0.737404\pi\) |
0.954931 | − | 0.296829i | \(-0.0959293\pi\) | |||||||
\(104\) | −11.4188 | − | 0.845265i | −1.11970 | − | 0.0828850i | ||||
\(105\) | −0.0458935 | + | 2.01686i | −0.00447875 | + | 0.196825i | ||||
\(106\) | 0.337555 | − | 13.7024i | 0.0327863 | − | 1.33089i | ||||
\(107\) | 8.09890 | − | 1.06624i | 0.782950 | − | 0.103077i | 0.271555 | − | 0.962423i | \(-0.412462\pi\) |
0.511395 | + | 0.859346i | \(0.329129\pi\) | |||||||
\(108\) | 1.96763 | + | 0.358373i | 0.189335 | + | 0.0344844i | ||||
\(109\) | 15.4356 | + | 2.03214i | 1.47847 | + | 0.194644i | 0.826213 | − | 0.563357i | \(-0.190491\pi\) |
0.652253 | + | 0.758001i | \(0.273824\pi\) | |||||||
\(110\) | 0.543812 | + | 5.09799i | 0.0518504 | + | 0.486075i | ||||
\(111\) | 4.06074i | 0.385428i | ||||||||
\(112\) | −4.14390 | − | 9.73797i | −0.391562 | − | 0.920152i | ||||
\(113\) | − | 13.7883i | − | 1.29709i | −0.761176 | − | 0.648546i | \(-0.775378\pi\) | ||
0.761176 | − | 0.648546i | \(-0.224622\pi\) | |||||||
\(114\) | 3.99933 | − | 0.426615i | 0.374571 | − | 0.0399562i | ||||
\(115\) | −6.64244 | − | 0.874494i | −0.619411 | − | 0.0815469i | ||||
\(116\) | 10.5603 | + | 15.2637i | 0.980496 | + | 1.41720i | ||||
\(117\) | 4.01356 | − | 0.528395i | 0.371054 | − | 0.0488501i | ||||
\(118\) | 12.8602 | + | 0.316809i | 1.18388 | + | 0.0291647i | ||||
\(119\) | −6.51378 | − | 3.96099i | −0.597118 | − | 0.363104i | ||||
\(120\) | 1.92614 | + | 0.970160i | 0.175832 | + | 0.0885631i | ||||
\(121\) | −3.00362 | + | 11.2096i | −0.273056 | + | 1.01906i | ||||
\(122\) | −0.0592165 | − | 0.244981i | −0.00536121 | − | 0.0221795i | ||||
\(123\) | 1.97484 | − | 1.51535i | 0.178065 | − | 0.136634i | ||||
\(124\) | −12.2477 | − | 3.93757i | −1.09987 | − | 0.353604i | ||||
\(125\) | 2.74830 | + | 6.63498i | 0.245815 | + | 0.593451i | ||||
\(126\) | 2.13463 | + | 3.07301i | 0.190168 | + | 0.273765i | ||||
\(127\) | − | 2.07382i | − | 0.184022i | −0.995758 | − | 0.0920109i | \(-0.970671\pi\) | ||
0.995758 | − | 0.0920109i | \(-0.0293295\pi\) | |||||||
\(128\) | −11.3040 | − | 0.469484i | −0.999139 | − | 0.0414969i | ||||
\(129\) | 1.89283 | + | 1.09282i | 0.166654 | + | 0.0962178i | ||||
\(130\) | 4.31261 | + | 0.676199i | 0.378241 | + | 0.0593066i | ||||
\(131\) | 5.51551 | + | 4.23220i | 0.481892 | + | 0.369769i | 0.820953 | − | 0.570995i | \(-0.193443\pi\) |
−0.339061 | + | 0.940764i | \(0.610109\pi\) | |||||||
\(132\) | 6.38461 | + | 7.04677i | 0.555709 | + | 0.613343i | ||||
\(133\) | 5.86384 | + | 4.71524i | 0.508459 | + | 0.408864i | ||||
\(134\) | −6.13393 | + | 5.83898i | −0.529891 | + | 0.504411i | ||||
\(135\) | −0.736516 | − | 0.197349i | −0.0633892 | − | 0.0169851i | ||||
\(136\) | −6.81440 | + | 4.47051i | −0.584330 | + | 0.383343i | ||||
\(137\) | 1.01874 | + | 3.80200i | 0.0870371 | + | 0.324827i | 0.995692 | − | 0.0927207i | \(-0.0295564\pi\) |
−0.908655 | + | 0.417548i | \(0.862890\pi\) | |||||||
\(138\) | −10.9111 | + | 5.94615i | −0.928813 | + | 0.506170i | ||||
\(139\) | −5.62772 | − | 2.33108i | −0.477337 | − | 0.197720i | 0.131025 | − | 0.991379i | \(-0.458173\pi\) |
−0.608362 | + | 0.793659i | \(0.708173\pi\) | |||||||
\(140\) | 1.27184 | + | 3.82906i | 0.107490 | + | 0.323615i | ||||
\(141\) | 5.09749 | + | 12.3064i | 0.429286 | + | 1.03639i | ||||
\(142\) | 1.88521 | + | 17.6730i | 0.158203 | + | 1.48308i | ||||
\(143\) | 16.6684 | + | 9.62352i | 1.39388 | + | 0.804760i | ||||
\(144\) | 3.94680 | − | 0.650223i | 0.328900 | − | 0.0541852i | ||||
\(145\) | −3.53812 | − | 6.12820i | −0.293825 | − | 0.508920i | ||||
\(146\) | 8.82031 | − | 19.8937i | 0.729974 | − | 1.64641i | ||||
\(147\) | −1.22842 | + | 6.89137i | −0.101318 | + | 0.568391i | ||||
\(148\) | 2.73473 | + | 7.64720i | 0.224793 | + | 0.628596i | ||||
\(149\) | −1.41336 | − | 10.7356i | −0.115787 | − | 0.879492i | −0.946480 | − | 0.322762i | \(-0.895389\pi\) |
0.830693 | − | 0.556731i | \(-0.187945\pi\) | |||||||
\(150\) | 5.33307 | + | 3.25675i | 0.435443 | + | 0.265912i | ||||
\(151\) | 13.5517 | − | 3.63116i | 1.10282 | − | 0.295499i | 0.338907 | − | 0.940820i | \(-0.389943\pi\) |
0.763912 | + | 0.645320i | \(0.223276\pi\) | |||||||
\(152\) | 7.24424 | − | 3.49677i | 0.587586 | − | 0.283626i | ||||
\(153\) | 2.03749 | − | 2.03749i | 0.164721 | − | 0.164721i | ||||
\(154\) | −0.842573 | + | 17.7697i | −0.0678965 | + | 1.43192i | ||||
\(155\) | 4.53143 | + | 1.87698i | 0.363974 | + | 0.150763i | ||||
\(156\) | 7.20250 | − | 3.69803i | 0.576662 | − | 0.296079i | ||||
\(157\) | −1.13347 | − | 0.149224i | −0.0904609 | − | 0.0119094i | 0.0851599 | − | 0.996367i | \(-0.472860\pi\) |
−0.175621 | + | 0.984458i | \(0.556193\pi\) | |||||||
\(158\) | −9.98256 | − | 1.56522i | −0.794170 | − | 0.124522i | ||||
\(159\) | 4.84600 | + | 8.39351i | 0.384312 | + | 0.665649i | ||||
\(160\) | 4.28067 | + | 0.529841i | 0.338417 | + | 0.0418876i | ||||
\(161\) | −22.3123 | − | 6.52608i | −1.75846 | − | 0.514327i | ||||
\(162\) | −1.31949 | + | 0.508855i | −0.103669 | + | 0.0399794i | ||||
\(163\) | 9.23768 | − | 12.0388i | 0.723551 | − | 0.942950i | −0.276285 | − | 0.961076i | \(-0.589103\pi\) |
0.999836 | + | 0.0181258i | \(0.00576995\pi\) | |||||||
\(164\) | 2.69850 | − | 4.18367i | 0.210718 | − | 0.326690i | ||||
\(165\) | −2.20693 | − | 2.87613i | −0.171809 | − | 0.223906i | ||||
\(166\) | −0.0298268 | − | 0.00878484i | −0.00231501 | − | 0.000681836i | ||||
\(167\) | 14.5827 | + | 14.5827i | 1.12844 | + | 1.12844i | 0.990430 | + | 0.138014i | \(0.0440720\pi\) |
0.138014 | + | 0.990430i | \(0.455928\pi\) | |||||||
\(168\) | 6.08947 | + | 4.34953i | 0.469813 | + | 0.335573i | ||||
\(169\) | 2.39558 | − | 2.39558i | 0.184275 | − | 0.184275i | ||||
\(170\) | 2.72832 | − | 1.48684i | 0.209252 | − | 0.114035i | ||||
\(171\) | −2.25629 | + | 1.73131i | −0.172543 | + | 0.132397i | ||||
\(172\) | 4.30055 | + | 0.783277i | 0.327914 | + | 0.0597243i | ||||
\(173\) | −15.2188 | − | 11.6778i | −1.15706 | − | 0.887847i | −0.161972 | − | 0.986795i | \(-0.551785\pi\) |
−0.995093 | + | 0.0989486i | \(0.968452\pi\) | |||||||
\(174\) | −11.9980 | − | 5.31958i | −0.909566 | − | 0.403276i | ||||
\(175\) | 2.76806 | + | 11.3581i | 0.209245 | + | 0.858590i | ||||
\(176\) | 16.7692 | + | 8.97076i | 1.26403 | + | 0.676197i | ||||
\(177\) | −7.87765 | + | 4.54816i | −0.592120 | + | 0.341861i | ||||
\(178\) | −5.11135 | + | 3.72573i | −0.383112 | + | 0.279256i | ||||
\(179\) | −1.70867 | + | 12.9786i | −0.127712 | + | 0.970069i | 0.800843 | + | 0.598874i | \(0.204385\pi\) |
−0.928555 | + | 0.371195i | \(0.878948\pi\) | |||||||
\(180\) | −1.51992 | + | 0.124362i | −0.113288 | + | 0.00926943i | ||||
\(181\) | 4.86037 | − | 11.7340i | 0.361269 | − | 0.872180i | −0.633846 | − | 0.773459i | \(-0.718525\pi\) |
0.995115 | − | 0.0987210i | \(-0.0314751\pi\) | |||||||
\(182\) | 14.4287 | + | 4.60888i | 1.06953 | + | 0.341633i | ||||
\(183\) | 0.126018 | + | 0.126018i | 0.00931553 | + | 0.00931553i | ||||
\(184\) | −16.5433 | + | 18.5460i | −1.21959 | + | 1.36723i | ||||
\(185\) | −0.801382 | − | 2.99080i | −0.0589188 | − | 0.219888i | ||||
\(186\) | 8.84232 | − | 2.13736i | 0.648351 | − | 0.156719i | ||||
\(187\) | 13.5825 | − | 1.78818i | 0.993254 | − | 0.130764i | ||||
\(188\) | 17.8874 | + | 19.7426i | 1.30457 | + | 1.43987i | ||||
\(189\) | −2.42069 | − | 1.06783i | −0.176079 | − | 0.0776732i | ||||
\(190\) | −2.86138 | + | 1.10347i | −0.207586 | + | 0.0800542i | ||||
\(191\) | 13.7559 | − | 7.94197i | 0.995342 | − | 0.574661i | 0.0884749 | − | 0.996078i | \(-0.471801\pi\) |
0.906867 | + | 0.421418i | \(0.138467\pi\) | |||||||
\(192\) | 6.99473 | − | 3.88249i | 0.504801 | − | 0.280195i | ||||
\(193\) | −1.70140 | + | 2.94691i | −0.122469 | + | 0.212123i | −0.920741 | − | 0.390174i | \(-0.872415\pi\) |
0.798271 | + | 0.602298i | \(0.205748\pi\) | |||||||
\(194\) | −15.1995 | − | 12.2694i | −1.09126 | − | 0.880889i | ||||
\(195\) | −2.85177 | + | 1.18124i | −0.204220 | + | 0.0845905i | ||||
\(196\) | 2.32767 | + | 13.8051i | 0.166262 | + | 0.986082i | ||||
\(197\) | 6.20268 | − | 14.9746i | 0.441922 | − | 1.06690i | −0.533351 | − | 0.845894i | \(-0.679068\pi\) |
0.975274 | − | 0.221001i | \(-0.0709325\pi\) | |||||||
\(198\) | −6.44991 | − | 1.89968i | −0.458375 | − | 0.135004i | ||||
\(199\) | 0.140179 | − | 0.0375609i | 0.00993703 | − | 0.00266262i | −0.253847 | − | 0.967244i | \(-0.581696\pi\) |
0.263784 | + | 0.964582i | \(0.415029\pi\) | |||||||
\(200\) | 12.2365 | + | 2.54154i | 0.865253 | + | 0.179714i | ||||
\(201\) | 1.54988 | − | 5.78423i | 0.109320 | − | 0.407988i | ||||
\(202\) | 0.403273 | − | 16.3701i | 0.0283742 | − | 1.15179i | ||||
\(203\) | −8.87773 | − | 22.8924i | −0.623095 | − | 1.60673i | ||||
\(204\) | 2.46484 | − | 5.20916i | 0.172574 | − | 0.364714i | ||||
\(205\) | −1.15545 | + | 1.50581i | −0.0806999 | + | 0.105170i | ||||
\(206\) | 9.02698 | + | 12.3842i | 0.628939 | + | 0.862845i | ||||
\(207\) | 4.39330 | − | 7.60942i | 0.305355 | − | 0.528891i | ||||
\(208\) | 11.0733 | − | 11.8147i | 0.767797 | − | 0.819203i | ||||
\(209\) | −13.5217 | −0.935317 | ||||||||
\(210\) | −2.17864 | − | 1.84205i | −0.150340 | − | 0.127114i | ||||
\(211\) | 11.8348 | − | 4.90214i | 0.814743 | − | 0.337477i | 0.0638981 | − | 0.997956i | \(-0.479647\pi\) |
0.750845 | + | 0.660479i | \(0.229647\pi\) | |||||||
\(212\) | 14.7787 | + | 12.5431i | 1.01500 | + | 0.861466i | ||||
\(213\) | −7.65065 | − | 9.97052i | −0.524214 | − | 0.683169i | ||||
\(214\) | −6.02084 | + | 9.85939i | −0.411576 | + | 0.673974i | ||||
\(215\) | −1.60977 | − | 0.431335i | −0.109785 | − | 0.0294168i | ||||
\(216\) | −2.14219 | + | 1.84690i | −0.145757 | + | 0.125666i | ||||
\(217\) | 14.5414 | + | 8.84254i | 0.987134 | + | 0.600270i | ||||
\(218\) | −15.9475 | + | 15.1807i | −1.08010 | + | 1.02817i | ||||
\(219\) | 2.00848 | + | 15.2559i | 0.135721 | + | 1.03090i | ||||
\(220\) | −6.09304 | − | 3.93006i | −0.410793 | − | 0.264965i | ||||
\(221\) | 1.52254 | − | 11.5648i | 0.102417 | − | 0.777934i | ||||
\(222\) | −4.46856 | − | 3.60711i | −0.299910 | − | 0.242093i | ||||
\(223\) | −24.7167 | −1.65515 | −0.827576 | − | 0.561354i | \(-0.810281\pi\) | ||||
−0.827576 | + | 0.561354i | \(0.810281\pi\) | |||||||
\(224\) | 14.3969 | + | 4.09006i | 0.961935 | + | 0.273279i | ||||
\(225\) | −4.41860 | −0.294573 | ||||||||
\(226\) | 15.1730 | + | 12.2480i | 1.00929 | + | 0.814723i | ||||
\(227\) | −2.11496 | + | 16.0647i | −0.140375 | + | 1.06625i | 0.765719 | + | 0.643175i | \(0.222383\pi\) |
−0.906094 | + | 0.423077i | \(0.860950\pi\) | |||||||
\(228\) | −3.08310 | + | 4.77993i | −0.204183 | + | 0.316559i | ||||
\(229\) | 1.39987 | + | 10.6331i | 0.0925059 | + | 0.702652i | 0.973363 | + | 0.229270i | \(0.0736338\pi\) |
−0.880857 | + | 0.473383i | \(0.843033\pi\) | |||||||
\(230\) | 6.86272 | − | 6.53273i | 0.452514 | − | 0.430755i | ||||
\(231\) | −6.04013 | − | 11.0341i | −0.397412 | − | 0.725993i | ||||
\(232\) | −26.1772 | − | 1.93774i | −1.71862 | − | 0.127219i | ||||
\(233\) | −0.861055 | − | 0.230719i | −0.0564096 | − | 0.0151149i | 0.230504 | − | 0.973071i | \(-0.425963\pi\) |
−0.286913 | + | 0.957957i | \(0.592629\pi\) | |||||||
\(234\) | −2.98374 | + | 4.88600i | −0.195053 | + | 0.319408i | ||||
\(235\) | −6.18303 | − | 8.05789i | −0.403337 | − | 0.525639i | ||||
\(236\) | −11.7722 | + | 13.8704i | −0.766307 | + | 0.902884i | ||||
\(237\) | 6.60110 | − | 2.73426i | 0.428787 | − | 0.177610i | ||||
\(238\) | 10.1449 | − | 3.64945i | 0.657597 | − | 0.236559i | ||||
\(239\) | −8.67788 | −0.561326 | −0.280663 | − | 0.959806i | \(-0.590554\pi\) | ||||
−0.280663 | + | 0.959806i | \(0.590554\pi\) | |||||||
\(240\) | −2.77856 | + | 1.25780i | −0.179355 | + | 0.0811903i | ||||
\(241\) | −7.74905 | + | 13.4218i | −0.499160 | + | 0.864571i | −1.00000 | 0.000969273i | \(-0.999691\pi\) | |
0.500839 | + | 0.865540i | \(0.333025\pi\) | |||||||
\(242\) | −9.66734 | − | 13.2627i | −0.621440 | − | 0.852556i | ||||
\(243\) | 0.608761 | − | 0.793353i | 0.0390521 | − | 0.0508936i | ||||
\(244\) | 0.322185 | + | 0.152450i | 0.0206258 | + | 0.00975963i | ||||
\(245\) | −0.455254 | − | 5.31803i | −0.0290851 | − | 0.339756i | ||||
\(246\) | −0.0866954 | + | 3.51923i | −0.00552750 | + | 0.224378i | ||||
\(247\) | −2.97979 | + | 11.1207i | −0.189600 | + | 0.707596i | ||||
\(248\) | 15.2125 | − | 9.97999i | 0.965994 | − | 0.633730i | ||||
\(249\) | 0.0212373 | − | 0.00569053i | 0.00134586 | − | 0.000360622i | ||||
\(250\) | −9.74261 | − | 2.86947i | −0.616177 | − | 0.181481i | ||||
\(251\) | 7.69468 | − | 18.5766i | 0.485684 | − | 1.17254i | −0.471188 | − | 0.882033i | \(-0.656175\pi\) |
0.956871 | − | 0.290512i | \(-0.0938255\pi\) | |||||||
\(252\) | −5.27779 | − | 0.380715i | −0.332469 | − | 0.0239828i | ||||
\(253\) | 38.5957 | − | 15.9869i | 2.42649 | − | 1.00509i | ||||
\(254\) | 2.28209 | + | 1.84215i | 0.143191 | + | 0.115587i | ||||
\(255\) | −1.09854 | + | 1.90274i | −0.0687935 | + | 0.119154i | ||||
\(256\) | 10.5578 | − | 12.0222i | 0.659864 | − | 0.751385i | ||||
\(257\) | −2.86360 | + | 1.65330i | −0.178626 | + | 0.103130i | −0.586647 | − | 0.809843i | \(-0.699552\pi\) |
0.408021 | + | 0.912973i | \(0.366219\pi\) | |||||||
\(258\) | −2.88395 | + | 1.11218i | −0.179547 | + | 0.0692412i | ||||
\(259\) | −1.15965 | − | 10.6809i | −0.0720574 | − | 0.663681i | ||||
\(260\) | −4.57495 | + | 4.14506i | −0.283727 | + | 0.257066i | ||||
\(261\) | 9.20095 | − | 1.21133i | 0.569525 | − | 0.0749794i | ||||
\(262\) | −9.55660 | + | 2.31001i | −0.590409 | + | 0.142713i | ||||
\(263\) | 1.14525 | + | 4.27412i | 0.0706190 | + | 0.263554i | 0.992204 | − | 0.124622i | \(-0.0397719\pi\) |
−0.921585 | + | 0.388176i | \(0.873105\pi\) | |||||||
\(264\) | −13.4259 | + | 0.766243i | −0.826304 | + | 0.0471590i | ||||
\(265\) | −5.22560 | − | 5.22560i | −0.321006 | − | 0.321006i | ||||
\(266\) | −10.3976 | + | 2.26424i | −0.637516 | + | 0.138829i | ||||
\(267\) | 1.71156 | − | 4.13208i | 0.104746 | − | 0.252879i | ||||
\(268\) | −0.976680 | − | 11.9367i | −0.0596603 | − | 0.729147i | ||||
\(269\) | −0.554737 | + | 4.21365i | −0.0338229 | + | 0.256911i | −1.00000 | 0.000970696i | \(-0.999691\pi\) | |
0.966177 | + | 0.257881i | \(0.0830244\pi\) | |||||||
\(270\) | 0.871407 | − | 0.635180i | 0.0530321 | − | 0.0386558i | ||||
\(271\) | −12.3226 | + | 7.11445i | −0.748544 | + | 0.432172i | −0.825168 | − | 0.564888i | \(-0.808919\pi\) |
0.0766237 | + | 0.997060i | \(0.475586\pi\) | |||||||
\(272\) | 1.13367 | − | 11.4699i | 0.0687389 | − | 0.695463i | ||||
\(273\) | −10.4059 | + | 2.53601i | −0.629796 | + | 0.153487i | ||||
\(274\) | −5.08877 | − | 2.25622i | −0.307424 | − | 0.136303i | ||||
\(275\) | −16.6669 | − | 12.7889i | −1.00505 | − | 0.771202i | ||||
\(276\) | 3.14887 | − | 17.2888i | 0.189540 | − | 1.04066i | ||||
\(277\) | 7.05853 | − | 5.41620i | 0.424106 | − | 0.325428i | −0.374560 | − | 0.927203i | \(-0.622206\pi\) |
0.798666 | + | 0.601775i | \(0.205539\pi\) | |||||||
\(278\) | 7.56423 | − | 4.12224i | 0.453672 | − | 0.247235i | ||||
\(279\) | −4.54849 | + | 4.54849i | −0.272311 | + | 0.272311i | ||||
\(280\) | −5.34336 | − | 2.00175i | −0.319327 | − | 0.119627i | ||||
\(281\) | 11.4397 | + | 11.4397i | 0.682436 | + | 0.682436i | 0.960548 | − | 0.278113i | \(-0.0897089\pi\) |
−0.278113 | + | 0.960548i | \(0.589709\pi\) | |||||||
\(282\) | −18.0704 | − | 5.32223i | −1.07608 | − | 0.316934i | ||||
\(283\) | 3.45337 | + | 4.50052i | 0.205282 | + | 0.267528i | 0.884636 | − | 0.466282i | \(-0.154407\pi\) |
−0.679355 | + | 0.733810i | \(0.737740\pi\) | |||||||
\(284\) | −21.1224 | − | 13.6242i | −1.25339 | − | 0.808445i | ||||
\(285\) | 1.32012 | − | 1.72042i | 0.0781973 | − | 0.101909i | ||||
\(286\) | −25.3964 | + | 9.79395i | −1.50172 | + | 0.579129i | ||||
\(287\) | −4.76165 | + | 4.54977i | −0.281071 | + | 0.268564i | ||||
\(288\) | −2.79037 | + | 4.92075i | −0.164424 | + | 0.289958i | ||||
\(289\) | 4.34865 | + | 7.53209i | 0.255803 | + | 0.443064i | ||||
\(290\) | 9.88652 | + | 1.55017i | 0.580557 | + | 0.0910288i | ||||
\(291\) | 13.6942 | + | 1.80287i | 0.802768 | + | 0.105686i | ||||
\(292\) | 14.0566 | + | 27.3774i | 0.822599 | + | 1.60214i | ||||
\(293\) | 17.1317 | + | 7.09619i | 1.00085 | + | 0.414564i | 0.822107 | − | 0.569333i | \(-0.192798\pi\) |
0.178738 | + | 0.983897i | \(0.442798\pi\) | |||||||
\(294\) | −6.49227 | − | 7.47331i | −0.378637 | − | 0.435852i | ||||
\(295\) | 4.90444 | − | 4.90444i | 0.285547 | − | 0.285547i | ||||
\(296\) | −10.8444 | − | 3.78355i | −0.630320 | − | 0.219914i | ||||
\(297\) | 4.59247 | − | 1.23055i | 0.266482 | − | 0.0714038i | ||||
\(298\) | 13.0692 | + | 7.98098i | 0.757079 | + | 0.462326i | ||||
\(299\) | −4.64279 | − | 35.2655i | −0.268500 | − | 2.03946i | ||||
\(300\) | −8.32112 | + | 2.97573i | −0.480420 | + | 0.171804i | ||||
\(301\) | −5.29078 | − | 2.33390i | −0.304955 | − | 0.134524i | ||||
\(302\) | −8.04196 | + | 18.1382i | −0.462763 | + | 1.04373i | ||||
\(303\) | 5.78945 | + | 10.0276i | 0.332595 | + | 0.576072i | ||||
\(304\) | −2.58703 | + | 11.0779i | −0.148376 | + | 0.635362i | ||||
\(305\) | −0.117684 | − | 0.0679448i | −0.00673856 | − | 0.00389051i | ||||
\(306\) | 0.432232 | + | 4.05198i | 0.0247091 | + | 0.231636i | ||||
\(307\) | −4.62691 | − | 11.1703i | −0.264072 | − | 0.637525i | 0.735111 | − | 0.677947i | \(-0.237130\pi\) |
−0.999183 | + | 0.0404213i | \(0.987130\pi\) | |||||||
\(308\) | −18.8058 | − | 16.7118i | −1.07156 | − | 0.952243i | ||||
\(309\) | −10.0115 | − | 4.14690i | −0.569534 | − | 0.235909i | ||||
\(310\) | −6.09071 | + | 3.31922i | −0.345929 | + | 0.188519i | ||||
\(311\) | −1.35872 | − | 5.07083i | −0.0770462 | − | 0.287540i | 0.916643 | − | 0.399706i | \(-0.130888\pi\) |
−0.993689 | + | 0.112166i | \(0.964221\pi\) | |||||||
\(312\) | −2.32848 | + | 11.2108i | −0.131824 | + | 0.634684i | ||||
\(313\) | −21.2627 | − | 5.69731i | −1.20184 | − | 0.322031i | −0.398283 | − | 0.917263i | \(-0.630394\pi\) |
−0.803554 | + | 0.595231i | \(0.797060\pi\) | |||||||
\(314\) | 1.17106 | − | 1.11475i | 0.0660868 | − | 0.0629090i | ||||
\(315\) | 1.99361 | + | 0.308753i | 0.112327 | + | 0.0173963i | ||||
\(316\) | 10.5898 | − | 9.59472i | 0.595723 | − | 0.539745i | ||||
\(317\) | −4.95563 | − | 3.80259i | −0.278336 | − | 0.213575i | 0.460154 | − | 0.887839i | \(-0.347794\pi\) |
−0.738490 | + | 0.674264i | \(0.764461\pi\) | |||||||
\(318\) | −13.5411 | − | 2.12319i | −0.759347 | − | 0.119062i | ||||
\(319\) | 38.2118 | + | 22.0616i | 2.13945 | + | 1.23521i | ||||
\(320\) | −4.38552 | + | 4.23992i | −0.245158 | + | 0.237019i | ||||
\(321\) | − | 8.16878i | − | 0.455937i | ||||||
\(322\) | 27.0013 | − | 18.7561i | 1.50472 | − | 1.04524i | ||||
\(323\) | 3.13601 | + | 7.57101i | 0.174492 | + | 0.421262i | ||||
\(324\) | 0.612134 | − | 1.90402i | 0.0340074 | − | 0.105779i | ||||
\(325\) | −14.1910 | + | 10.8891i | −0.787174 | + | 0.604020i | ||||
\(326\) | 5.04209 | + | 20.8593i | 0.279256 | + | 1.15529i | ||||
\(327\) | 4.02951 | − | 15.0383i | 0.222833 | − | 0.831622i | ||||
\(328\) | 2.20678 | + | 6.68581i | 0.121849 | + | 0.369162i | ||||
\(329\) | −16.9223 | − | 30.9138i | −0.932957 | − | 1.70433i | ||||
\(330\) | 5.12536 | + | 0.126262i | 0.282142 | + | 0.00695050i | ||||
\(331\) | −15.0222 | + | 1.97771i | −0.825693 | + | 0.108705i | −0.531518 | − | 0.847047i | \(-0.678378\pi\) |
−0.294175 | + | 0.955752i | \(0.595045\pi\) | |||||||
\(332\) | 0.0361619 | − | 0.0250188i | 0.00198464 | − | 0.00137309i | ||||
\(333\) | 4.02600 | + | 0.530033i | 0.220623 | + | 0.0290456i | ||||
\(334\) | −29.0009 | + | 3.09358i | −1.58686 | + | 0.169273i | ||||
\(335\) | 4.56604i | 0.249469i | ||||||||
\(336\) | −10.1955 | + | 2.83739i | −0.556213 | + | 0.154792i | ||||
\(337\) | − | 19.1725i | − | 1.04439i | −0.852826 | − | 0.522196i | \(-0.825113\pi\) | ||
0.852826 | − | 0.522196i | \(-0.174887\pi\) | |||||||
\(338\) | 0.508198 | + | 4.76413i | 0.0276423 | + | 0.259134i | ||||
\(339\) | −13.6703 | − | 1.79973i | −0.742469 | − | 0.0977479i | ||||
\(340\) | −0.787376 | + | 4.32306i | −0.0427015 | + | 0.234451i | ||||
\(341\) | −30.3217 | + | 3.99193i | −1.64201 | + | 0.216175i | ||||
\(342\) | 0.0990514 | − | 4.02080i | 0.00535609 | − | 0.217420i | ||||
\(343\) | 1.26309 | − | 18.4771i | 0.0682002 | − | 0.997672i | ||||
\(344\) | −4.68207 | + | 4.03667i | −0.252440 | + | 0.217643i | ||||
\(345\) | −1.73402 | + | 6.47147i | −0.0933567 | + | 0.348412i | ||||
\(346\) | 26.3693 | − | 6.37395i | 1.41762 | − | 0.342666i | ||||
\(347\) | −2.77769 | + | 2.13140i | −0.149114 | + | 0.114419i | −0.680624 | − | 0.732633i | \(-0.738291\pi\) |
0.531510 | + | 0.847052i | \(0.321625\pi\) | |||||||
\(348\) | 16.5115 | − | 8.47761i | 0.885109 | − | 0.454448i | ||||
\(349\) | 1.07686 | + | 2.59977i | 0.0576430 | + | 0.139163i | 0.950077 | − | 0.312015i | \(-0.101004\pi\) |
−0.892434 | + | 0.451178i | \(0.851004\pi\) | |||||||
\(350\) | −14.9576 | − | 7.04320i | −0.799517 | − | 0.376475i | ||||
\(351\) | − | 4.04819i | − | 0.216077i | ||||||
\(352\) | −24.7676 | + | 10.4847i | −1.32012 | + | 0.558837i | ||||
\(353\) | 19.0516 | + | 10.9994i | 1.01401 | + | 0.585440i | 0.912364 | − | 0.409380i | \(-0.134255\pi\) |
0.101648 | + | 0.994820i | \(0.467588\pi\) | |||||||
\(354\) | 1.99270 | − | 12.7089i | 0.105911 | − | 0.675469i | ||||
\(355\) | 7.60249 | + | 5.83360i | 0.403499 | + | 0.309615i | ||||
\(356\) | 0.440452 | − | 8.93421i | 0.0233439 | − | 0.473512i | ||||
\(357\) | −4.77733 | + | 5.94104i | −0.252843 | + | 0.314433i | ||||
\(358\) | −12.7643 | − | 13.4090i | −0.674613 | − | 0.708690i | ||||
\(359\) | −2.62382 | − | 0.703051i | −0.138480 | − | 0.0371056i | 0.188913 | − | 0.981994i | \(-0.439504\pi\) |
−0.327393 | + | 0.944888i | \(0.606170\pi\) | |||||||
\(360\) | 1.21327 | − | 1.78303i | 0.0639450 | − | 0.0939738i | ||||
\(361\) | 2.82415 | + | 10.5399i | 0.148640 | + | 0.554731i | ||||
\(362\) | 8.59499 | + | 15.7717i | 0.451743 | + | 0.828940i | ||||
\(363\) | 10.7217 | + | 4.44107i | 0.562743 | + | 0.233096i | ||||
\(364\) | −17.8886 | + | 11.7838i | −0.937619 | + | 0.617637i | ||||
\(365\) | −4.49002 | − | 10.8399i | −0.235019 | − | 0.567385i | ||||
\(366\) | −0.250614 | + | 0.0267335i | −0.0130998 | + | 0.00139738i | ||||
\(367\) | −29.6921 | − | 17.1428i | −1.54992 | − | 0.894845i | −0.998147 | − | 0.0608476i | \(-0.980620\pi\) |
−0.551769 | − | 0.833997i | \(-0.686047\pi\) | |||||||
\(368\) | −5.71324 | − | 34.6789i | −0.297823 | − | 1.80776i | ||||
\(369\) | −1.24461 | − | 2.15573i | −0.0647920 | − | 0.112223i | ||||
\(370\) | 4.00302 | + | 1.77483i | 0.208107 | + | 0.0922690i | ||||
\(371\) | −15.1434 | − | 20.6935i | −0.786205 | − | 1.07435i | ||||
\(372\) | −5.50253 | + | 11.6289i | −0.285293 | + | 0.602932i | ||||
\(373\) | 3.16031 | + | 24.0049i | 0.163635 | + | 1.24293i | 0.854310 | + | 0.519763i | \(0.173980\pi\) |
−0.690676 | + | 0.723165i | \(0.742687\pi\) | |||||||
\(374\) | −10.0975 | + | 16.5350i | −0.522127 | + | 0.855006i | ||||
\(375\) | 6.93695 | − | 1.85875i | 0.358222 | − | 0.0959854i | ||||
\(376\) | −37.6145 | + | 2.14674i | −1.93982 | + | 0.110710i | ||||
\(377\) | 26.5650 | − | 26.5650i | 1.36817 | − | 1.36817i | ||||
\(378\) | 3.32534 | − | 1.71526i | 0.171037 | − | 0.0882232i | ||||
\(379\) | −18.9776 | − | 7.86077i | −0.974813 | − | 0.403781i | −0.162311 | − | 0.986740i | \(-0.551895\pi\) |
−0.812502 | + | 0.582959i | \(0.801895\pi\) | |||||||
\(380\) | 1.32744 | − | 4.12894i | 0.0680960 | − | 0.211810i | ||||
\(381\) | −2.05608 | − | 0.270688i | −0.105336 | − | 0.0138678i | ||||
\(382\) | −3.47963 | + | 22.1921i | −0.178034 | + | 1.13545i | ||||
\(383\) | −5.47728 | − | 9.48693i | −0.279876 | − | 0.484760i | 0.691478 | − | 0.722398i | \(-0.256960\pi\) |
−0.971354 | + | 0.237638i | \(0.923627\pi\) | |||||||
\(384\) | −1.94093 | + | 11.1460i | −0.0990477 | + | 0.568791i | ||||
\(385\) | 6.62623 | + | 6.93481i | 0.337704 | + | 0.353431i | ||||
\(386\) | −1.73153 | − | 4.48998i | −0.0881326 | − | 0.228534i | ||||
\(387\) | 1.33054 | − | 1.73399i | 0.0676351 | − | 0.0881438i | ||||
\(388\) | 27.0031 | − | 5.82725i | 1.37088 | − | 0.295834i | ||||
\(389\) | 7.28293 | + | 9.49130i | 0.369259 | + | 0.481228i | 0.940615 | − | 0.339474i | \(-0.110249\pi\) |
−0.571356 | + | 0.820702i | \(0.693583\pi\) | |||||||
\(390\) | 1.23332 | − | 4.18746i | 0.0624518 | − | 0.212040i | ||||
\(391\) | −17.9026 | − | 17.9026i | −0.905371 | − | 0.905371i | ||||
\(392\) | −17.2592 | − | 9.70152i | −0.871722 | − | 0.490001i | ||||
\(393\) | 4.91591 | − | 4.91591i | 0.247975 | − | 0.247975i | ||||
\(394\) | 10.9687 | + | 20.1274i | 0.552595 | + | 1.01400i | ||||
\(395\) | −4.32221 | + | 3.31655i | −0.217474 | + | 0.166874i | ||||
\(396\) | 7.81985 | − | 5.41020i | 0.392962 | − | 0.271873i | ||||
\(397\) | 0.0757879 | + | 0.0581541i | 0.00380369 | + | 0.00291867i | 0.610662 | − | 0.791892i | \(-0.290904\pi\) |
−0.606858 | + | 0.794810i | \(0.707570\pi\) | |||||||
\(398\) | −0.0831864 | + | 0.187622i | −0.00416976 | + | 0.00940464i | ||||
\(399\) | 5.44029 | − | 5.19821i | 0.272355 | − | 0.260236i | ||||
\(400\) | −13.6664 | + | 11.2078i | −0.683318 | + | 0.560390i | ||||
\(401\) | −7.71068 | + | 4.45177i | −0.385053 | + | 0.222311i | −0.680015 | − | 0.733199i | \(-0.738027\pi\) |
0.294961 | + | 0.955509i | \(0.404693\pi\) | |||||||
\(402\) | 4.98839 | + | 6.84359i | 0.248798 | + | 0.341327i | ||||
\(403\) | −3.39892 | + | 25.8174i | −0.169312 | + | 1.28605i | ||||
\(404\) | 17.6559 | + | 14.9851i | 0.878412 | + | 0.745538i | ||||
\(405\) | −0.291795 | + | 0.704456i | −0.0144994 | + | 0.0350047i | ||||
\(406\) | 33.0774 | + | 10.5657i | 1.64160 | + | 0.524367i | ||||
\(407\) | 13.6519 | + | 13.6519i | 0.676700 | + | 0.676700i | ||||
\(408\) | 3.54281 | + | 7.33962i | 0.175395 | + | 0.363365i | ||||
\(409\) | 9.63415 | + | 35.9551i | 0.476378 | + | 1.77787i | 0.616091 | + | 0.787675i | \(0.288715\pi\) |
−0.139714 | + | 0.990192i | \(0.544618\pi\) | |||||||
\(410\) | −0.630663 | − | 2.60908i | −0.0311462 | − | 0.128853i | ||||
\(411\) | 3.90245 | − | 0.513767i | 0.192494 | − | 0.0253423i | ||||
\(412\) | −21.6464 | − | 1.06716i | −1.06644 | − | 0.0525751i | ||||
\(413\) | 19.4217 | − | 14.2127i | 0.955678 | − | 0.699360i | ||||
\(414\) | 4.47110 | + | 11.5939i | 0.219743 | + | 0.569808i | ||||
\(415\) | −0.0145186 | + | 0.00838232i | −0.000712691 | + | 0.000411472i | ||||
\(416\) | 3.16494 | + | 22.6803i | 0.155174 | + | 1.11199i | ||||
\(417\) | −3.04570 | + | 5.27531i | −0.149149 | + | 0.258333i | ||||
\(418\) | 12.0112 | − | 14.8797i | 0.587486 | − | 0.727789i | ||||
\(419\) | −14.8284 | + | 6.14211i | −0.724413 | + | 0.300062i | −0.714254 | − | 0.699887i | \(-0.753234\pi\) |
−0.0101590 | + | 0.999948i | \(0.503234\pi\) | |||||||
\(420\) | 3.96231 | − | 0.761163i | 0.193341 | − | 0.0371409i | ||||
\(421\) | −6.35424 | + | 15.3405i | −0.309687 | + | 0.747650i | 0.690028 | + | 0.723782i | \(0.257598\pi\) |
−0.999715 | + | 0.0238676i | \(0.992402\pi\) | |||||||
\(422\) | −5.11828 | + | 17.3779i | −0.249154 | + | 0.845943i | ||||
\(423\) | 12.8665 | − | 3.44757i | 0.625590 | − | 0.167626i | ||||
\(424\) | −26.9305 | + | 5.12093i | −1.30786 | + | 0.248694i | ||||
\(425\) | −3.29526 | + | 12.2981i | −0.159844 | + | 0.596545i | ||||
\(426\) | 17.7678 | + | 0.437706i | 0.860854 | + | 0.0212069i | ||||
\(427\) | −0.367453 | − | 0.295477i | −0.0177823 | − | 0.0142991i | ||||
\(428\) | −5.50131 | − | 15.3835i | −0.265916 | − | 0.743589i | ||||
\(429\) | 11.7169 | − | 15.2697i | 0.565695 | − | 0.737229i | ||||
\(430\) | 1.90459 | − | 1.38828i | 0.0918475 | − | 0.0669489i | ||||
\(431\) | −13.0006 | + | 22.5177i | −0.626215 | + | 1.08464i | 0.362089 | + | 0.932144i | \(0.382064\pi\) |
−0.988304 | + | 0.152494i | \(0.951270\pi\) | |||||||
\(432\) | −0.129500 | − | 3.99790i | −0.00623055 | − | 0.192349i | ||||
\(433\) | −17.5006 | −0.841026 | −0.420513 | − | 0.907286i | \(-0.638150\pi\) | ||||
−0.420513 | + | 0.907286i | \(0.638150\pi\) | |||||||
\(434\) | −22.6475 | + | 8.14704i | −1.08712 | + | 0.391070i | ||||
\(435\) | −6.53759 | + | 2.70796i | −0.313454 | + | 0.129837i | ||||
\(436\) | −2.53926 | − | 31.0340i | −0.121609 | − | 1.48626i | ||||
\(437\) | 15.2124 | + | 19.8251i | 0.727706 | + | 0.948365i | ||||
\(438\) | −18.5722 | − | 11.3415i | −0.887414 | − | 0.541918i | ||||
\(439\) | 15.4512 | + | 4.14014i | 0.737446 | + | 0.197598i | 0.607943 | − | 0.793981i | \(-0.291995\pi\) |
0.129503 | + | 0.991579i | \(0.458662\pi\) | |||||||
\(440\) | 9.73714 | − | 3.21393i | 0.464200 | − | 0.153218i | ||||
\(441\) | 6.67207 | + | 2.11741i | 0.317718 | + | 0.100829i | ||||
\(442\) | 11.3738 | + | 11.9483i | 0.540997 | + | 0.568325i | ||||
\(443\) | 0.757089 | + | 5.75066i | 0.0359704 | + | 0.273222i | 0.999973 | + | 0.00732994i | \(0.00233321\pi\) |
−0.964003 | + | 0.265892i | \(0.914333\pi\) | |||||||
\(444\) | 7.93873 | − | 1.71317i | 0.376756 | − | 0.0813035i | ||||
\(445\) | −0.445132 | + | 3.38112i | −0.0211013 | + | 0.160280i | ||||
\(446\) | 21.9556 | − | 27.1990i | 1.03963 | − | 1.28791i | ||||
\(447\) | −10.8282 | −0.512157 | ||||||||
\(448\) | −17.2894 | + | 12.2096i | −0.816849 | + | 0.576851i | ||||
\(449\) | −3.33350 | −0.157317 | −0.0786587 | − | 0.996902i | \(-0.525064\pi\) | ||||
−0.0786587 | + | 0.996902i | \(0.525064\pi\) | |||||||
\(450\) | 3.92499 | − | 4.86235i | 0.185026 | − | 0.229213i | ||||
\(451\) | 1.54477 | − | 11.7337i | 0.0727406 | − | 0.552520i | ||||
\(452\) | −26.9560 | + | 5.81709i | −1.26790 | + | 0.273613i | ||||
\(453\) | −1.83125 | − | 13.9097i | −0.0860394 | − | 0.653534i | ||||
\(454\) | −15.7994 | − | 16.5975i | −0.741501 | − | 0.778957i | ||||
\(455\) | 7.16366 | − | 3.92142i | 0.335838 | − | 0.183839i | ||||
\(456\) | −2.52129 | − | 7.63869i | −0.118070 | − | 0.357714i | ||||
\(457\) | 21.5234 | + | 5.76719i | 1.00682 | + | 0.269778i | 0.724302 | − | 0.689483i | \(-0.242162\pi\) |
0.282522 | + | 0.959261i | \(0.408829\pi\) | |||||||
\(458\) | −12.9444 | − | 7.90477i | −0.604853 | − | 0.369366i | ||||
\(459\) | −1.75411 | − | 2.28600i | −0.0818748 | − | 0.106701i | ||||
\(460\) | 1.09272 | + | 13.3549i | 0.0509485 | + | 0.622674i | ||||
\(461\) | 2.19904 | − | 0.910871i | 0.102419 | − | 0.0424235i | −0.330885 | − | 0.943671i | \(-0.607347\pi\) |
0.433305 | + | 0.901247i | \(0.357347\pi\) | |||||||
\(462\) | 17.5077 | + | 3.15477i | 0.814531 | + | 0.146773i | ||||
\(463\) | −28.5928 | −1.32882 | −0.664410 | − | 0.747368i | \(-0.731317\pi\) | ||||
−0.664410 | + | 0.747368i | \(0.731317\pi\) | |||||||
\(464\) | 25.3852 | − | 27.0848i | 1.17848 | − | 1.25738i | ||||
\(465\) | 2.45239 | − | 4.24767i | 0.113727 | − | 0.196981i | ||||
\(466\) | 1.01875 | − | 0.742584i | 0.0471929 | − | 0.0343996i | ||||
\(467\) | 7.99264 | − | 10.4162i | 0.369855 | − | 0.482005i | −0.570934 | − | 0.820996i | \(-0.693419\pi\) |
0.940790 | + | 0.338991i | \(0.110086\pi\) | |||||||
\(468\) | −2.72628 | − | 7.62357i | −0.126022 | − | 0.352400i | ||||
\(469\) | −2.42479 | + | 15.6568i | −0.111967 | + | 0.722965i | ||||
\(470\) | 14.3595 | + | 0.353742i | 0.662352 | + | 0.0163169i | ||||
\(471\) | −0.295895 | + | 1.10430i | −0.0136341 | + | 0.0508833i | ||||
\(472\) | −4.80620 | − | 25.2754i | −0.221223 | − | 1.16339i | ||||
\(473\) | 10.0375 | − | 2.68955i | 0.461527 | − | 0.123666i | ||||
\(474\) | −2.85482 | + | 9.69285i | −0.131126 | + | 0.445208i | ||||
\(475\) | 4.80898 | − | 11.6099i | 0.220651 | − | 0.532699i | ||||
\(476\) | −4.99565 | + | 14.4055i | −0.228975 | + | 0.660276i | ||||
\(477\) | 8.95423 | − | 3.70896i | 0.409986 | − | 0.169822i | ||||
\(478\) | 7.70847 | − | 9.54939i | 0.352577 | − | 0.436779i | ||||
\(479\) | −1.70166 | + | 2.94737i | −0.0777510 | + | 0.134669i | −0.902279 | − | 0.431152i | \(-0.858107\pi\) |
0.824528 | + | 0.565821i | \(0.191441\pi\) | |||||||
\(480\) | 1.08405 | − | 4.17489i | 0.0494798 | − | 0.190557i | ||||
\(481\) | 14.2363 | − | 8.21933i | 0.649119 | − | 0.374769i | ||||
\(482\) | −7.88629 | − | 20.4497i | −0.359210 | − | 0.931457i | ||||
\(483\) | −9.38259 | + | 21.2696i | −0.426923 | + | 0.967801i | ||||
\(484\) | 23.1820 | + | 1.14286i | 1.05373 | + | 0.0519482i | ||||
\(485\) | −10.4418 | + | 1.37469i | −0.474137 | + | 0.0624213i | ||||
\(486\) | 0.332273 | + | 1.37463i | 0.0150722 | + | 0.0623543i | ||||
\(487\) | −0.101270 | − | 0.377945i | −0.00458898 | − | 0.0171263i | 0.963593 | − | 0.267372i | \(-0.0861553\pi\) |
−0.968182 | + | 0.250246i | \(0.919489\pi\) | |||||||
\(488\) | −0.453954 | + | 0.219122i | −0.0205495 | + | 0.00991920i | ||||
\(489\) | −10.7300 | − | 10.7300i | −0.485229 | − | 0.485229i | ||||
\(490\) | 6.25651 | + | 4.22297i | 0.282640 | + | 0.190774i | ||||
\(491\) | −3.32812 | + | 8.03480i | −0.150196 | + | 0.362605i | −0.981013 | − | 0.193940i | \(-0.937873\pi\) |
0.830817 | + | 0.556545i | \(0.187873\pi\) | |||||||
\(492\) | −3.79565 | − | 3.22149i | −0.171121 | − | 0.145236i | ||||
\(493\) | 3.49037 | − | 26.5120i | 0.157198 | − | 1.19404i | ||||
\(494\) | −9.59066 | − | 13.1575i | −0.431504 | − | 0.591983i | ||||
\(495\) | −3.13958 | + | 1.81264i | −0.141114 | + | 0.0814721i | ||||
\(496\) | −2.53081 | + | 25.6054i | −0.113637 | + | 1.14972i | ||||
\(497\) | 22.9708 | + | 24.0406i | 1.03038 | + | 1.07837i | ||||
\(498\) | −0.0126029 | + | 0.0284250i | −0.000564748 | + | 0.00127375i | ||||
\(499\) | 12.7671 | + | 9.79653i | 0.571533 | + | 0.438553i | 0.853665 | − | 0.520823i | \(-0.174375\pi\) |
−0.282132 | + | 0.959376i | \(0.591041\pi\) | |||||||
\(500\) | 11.8119 | − | 8.17213i | 0.528244 | − | 0.365469i | ||||
\(501\) | 16.3614 | − | 12.5545i | 0.730973 | − | 0.560895i | ||||
\(502\) | 13.6071 | + | 24.9688i | 0.607316 | + | 1.11441i | ||||
\(503\) | 2.82420 | − | 2.82420i | 0.125925 | − | 0.125925i | −0.641336 | − | 0.767260i | \(-0.721619\pi\) |
0.767260 | + | 0.641336i | \(0.221619\pi\) | |||||||
\(504\) | 5.10715 | − | 5.46965i | 0.227491 | − | 0.243637i | ||||
\(505\) | −6.24296 | − | 6.24296i | −0.277808 | − | 0.277808i | ||||
\(506\) | −16.6917 | + | 56.6728i | −0.742038 | + | 2.51941i | ||||
\(507\) | −2.06240 | − | 2.68777i | −0.0915943 | − | 0.119368i | ||||
\(508\) | −4.05431 | + | 0.874917i | −0.179881 | + | 0.0388182i | ||||
\(509\) | 13.6661 | − | 17.8100i | 0.605738 | − | 0.789413i | −0.385329 | − | 0.922779i | \(-0.625912\pi\) |
0.991067 | + | 0.133366i | \(0.0425786\pi\) | |||||||
\(510\) | −1.11800 | − | 2.89905i | −0.0495059 | − | 0.128372i | ||||
\(511\) | −9.63965 | − | 39.5541i | −0.426433 | − | 1.74977i | ||||
\(512\) | 3.85115 | + | 22.2973i | 0.170198 | + | 0.985410i | ||||
\(513\) | 1.42200 | + | 2.46297i | 0.0627827 | + | 0.108743i | ||||
\(514\) | 0.724363 | − | 4.61979i | 0.0319503 | − | 0.203770i | ||||
\(515\) | 8.19201 | + | 1.07850i | 0.360983 | + | 0.0475243i | ||||
\(516\) | 1.33791 | − | 4.16152i | 0.0588982 | − | 0.183201i | ||||
\(517\) | 58.5106 | + | 24.2359i | 2.57329 | + | 1.06589i | ||||
\(518\) | 12.7837 | + | 8.21164i | 0.561684 | + | 0.360799i | ||||
\(519\) | −13.5643 | + | 13.5643i | −0.595409 | + | 0.595409i | ||||
\(520\) | −0.497465 | − | 8.71642i | −0.0218153 | − | 0.382240i | ||||
\(521\) | −4.24482 | + | 1.13739i | −0.185969 | + | 0.0498302i | −0.350601 | − | 0.936525i | \(-0.614023\pi\) |
0.164633 | + | 0.986355i | \(0.447356\pi\) | |||||||
\(522\) | −6.84012 | + | 11.2010i | −0.299384 | + | 0.490255i | ||||
\(523\) | 5.28712 | + | 40.1596i | 0.231189 | + | 1.75606i | 0.576059 | + | 0.817408i | \(0.304590\pi\) |
−0.344870 | + | 0.938651i | \(0.612077\pi\) | |||||||
\(524\) | 5.94702 | − | 12.5683i | 0.259797 | − | 0.549049i | ||||
\(525\) | 11.6222 | − | 1.26185i | 0.507235 | − | 0.0550716i | ||||
\(526\) | −5.72068 | − | 2.53639i | −0.249433 | − | 0.110592i | ||||
\(527\) | 9.26748 | + | 16.0517i | 0.403698 | + | 0.699225i | ||||
\(528\) | 11.0828 | − | 15.4548i | 0.482319 | − | 0.672585i | ||||
\(529\) | −46.9423 | − | 27.1021i | −2.04097 | − | 1.17835i | ||||
\(530\) | 10.3922 | − | 1.10856i | 0.451410 | − | 0.0481527i | ||||
\(531\) | 3.48101 | + | 8.40391i | 0.151063 | + | 0.364699i | ||||
\(532\) | 6.74441 | − | 13.4531i | 0.292407 | − | 0.583265i | ||||
\(533\) | −9.30981 | − | 3.85625i | −0.403253 | − | 0.167033i | ||||
\(534\) | 3.02670 | + | 5.55393i | 0.130978 | + | 0.240342i | ||||
\(535\) | 1.61210 | + | 6.01644i | 0.0696971 | + | 0.260113i | ||||
\(536\) | 14.0030 | + | 9.52843i | 0.604838 | + | 0.411565i | ||||
\(537\) | 12.6446 | + | 3.38810i | 0.545654 | + | 0.146207i | ||||
\(538\) | −4.14405 | − | 4.35338i | −0.178663 | − | 0.187688i | ||||
\(539\) | 19.0384 | + | 27.2981i | 0.820043 | + | 1.17581i | ||||
\(540\) | −0.0750902 | + | 1.52314i | −0.00323137 | + | 0.0655457i | ||||
\(541\) | −1.73327 | − | 1.32998i | −0.0745189 | − | 0.0571803i | 0.570830 | − | 0.821068i | \(-0.306621\pi\) |
−0.645349 | + | 0.763888i | \(0.723288\pi\) | |||||||
\(542\) | 3.11707 | − | 19.8798i | 0.133890 | − | 0.853911i | ||||
\(543\) | −10.9992 | − | 6.35038i | −0.472020 | − | 0.272521i | ||||
\(544\) | 11.6147 | + | 11.4361i | 0.497978 | + | 0.490318i | ||||
\(545\) | 11.8712i | 0.508506i | ||||||||
\(546\) | 6.45278 | − | 13.7037i | 0.276153 | − | 0.586465i | ||||
\(547\) | 2.35903 | + | 5.69520i | 0.100865 | + | 0.243509i | 0.966254 | − | 0.257591i | \(-0.0829288\pi\) |
−0.865389 | + | 0.501100i | \(0.832929\pi\) | |||||||
\(548\) | 7.00310 | − | 3.59565i | 0.299158 | − | 0.153599i | ||||
\(549\) | 0.141389 | − | 0.108491i | 0.00603432 | − | 0.00463030i | ||||
\(550\) | 28.8783 | − | 6.98043i | 1.23138 | − | 0.297647i | ||||
\(551\) | −6.83108 | + | 25.4939i | −0.291014 | + | 1.08608i | ||||
\(552\) | 16.2280 | + | 18.8225i | 0.690707 | + | 0.801140i | ||||
\(553\) | −16.5820 | + | 9.07704i | −0.705138 | + | 0.385995i | ||||
\(554\) | −0.309870 | + | 12.5786i | −0.0131651 | + | 0.534412i | ||||
\(555\) | −3.06981 | + | 0.404149i | −0.130306 | + | 0.0171552i | ||||
\(556\) | −2.18299 | + | 11.9856i | −0.0925795 | + | 0.508304i | ||||
\(557\) | 2.83469 | + | 0.373194i | 0.120110 | + | 0.0158127i | 0.190341 | − | 0.981718i | \(-0.439041\pi\) |
−0.0702317 | + | 0.997531i | \(0.522374\pi\) | |||||||
\(558\) | −0.964916 | − | 9.04566i | −0.0408482 | − | 0.382933i | ||||
\(559\) | − | 8.84793i | − | 0.374228i | ||||||
\(560\) | 6.94923 | − | 4.10186i | 0.293658 | − | 0.173335i | ||||
\(561\) | − | 13.6997i | − | 0.578404i | ||||||
\(562\) | −22.7503 | + | 2.42682i | −0.959665 | + | 0.102369i | ||||
\(563\) | 8.47078 | + | 1.11520i | 0.357001 | + | 0.0470000i | 0.306894 | − | 0.951744i | \(-0.400710\pi\) |
0.0501071 | + | 0.998744i | \(0.484044\pi\) | |||||||
\(564\) | 21.9084 | − | 15.1575i | 0.922512 | − | 0.638245i | ||||
\(565\) | 10.4236 | − | 1.37229i | 0.438523 | − | 0.0577327i | ||||
\(566\) | −8.02009 | − | 0.197573i | −0.337110 | − | 0.00830462i | ||||
\(567\) | −1.37466 | + | 2.26060i | −0.0577302 | + | 0.0949363i | ||||
\(568\) | 33.7552 | − | 11.1416i | 1.41634 | − | 0.467489i | ||||
\(569\) | 5.16569 | − | 19.2786i | 0.216557 | − | 0.808202i | −0.769056 | − | 0.639182i | \(-0.779273\pi\) |
0.985613 | − | 0.169020i | \(-0.0540602\pi\) | |||||||
\(570\) | 0.720546 | + | 2.98093i | 0.0301804 | + | 0.124857i | ||||
\(571\) | −36.1284 | + | 27.7223i | −1.51193 | + | 1.16014i | −0.571280 | + | 0.820755i | \(0.693553\pi\) |
−0.940647 | + | 0.339387i | \(0.889780\pi\) | |||||||
\(572\) | 11.7818 | − | 36.6468i | 0.492621 | − | 1.53228i | ||||
\(573\) | −6.07852 | − | 14.6748i | −0.253934 | − | 0.613050i | ||||
\(574\) | −0.776976 | − | 9.28137i | −0.0324304 | − | 0.387397i | ||||
\(575\) | 38.8244i | 1.61909i | ||||||||
\(576\) | −2.93628 | − | 7.44166i | −0.122345 | − | 0.310069i | ||||
\(577\) | −2.72284 | − | 1.57203i | −0.113353 | − | 0.0654445i | 0.442252 | − | 0.896891i | \(-0.354180\pi\) |
−0.555605 | + | 0.831447i | \(0.687513\pi\) | |||||||
\(578\) | −12.1514 | − | 1.90529i | −0.505431 | − | 0.0792495i | ||||
\(579\) | 2.69962 | + | 2.07149i | 0.112193 | + | 0.0860883i | ||||
\(580\) | −10.4879 | + | 9.50242i | −0.435488 | + | 0.394567i | ||||
\(581\) | −0.0542353 | + | 0.0210326i | −0.00225006 | + | 0.000872581i | ||||
\(582\) | −14.1483 | + | 13.4680i | −0.586467 | + | 0.558267i | ||||
\(583\) | 44.5102 | + | 11.9265i | 1.84343 | + | 0.493944i | ||||
\(584\) | −42.6132 | − | 8.85080i | −1.76335 | − | 0.366249i | ||||
\(585\) | 0.798906 | + | 2.98156i | 0.0330307 | + | 0.123272i | ||||
\(586\) | −23.0268 | + | 12.5488i | −0.951227 | + | 0.518385i | ||||
\(587\) | −30.8975 | − | 12.7982i | −1.27528 | − | 0.528236i | −0.360712 | − | 0.932677i | \(-0.617466\pi\) |
−0.914564 | + | 0.404441i | \(0.867466\pi\) | |||||||
\(588\) | 13.9909 | − | 0.505822i | 0.576973 | − | 0.0208597i | ||||
\(589\) | −7.00085 | − | 16.9015i | −0.288465 | − | 0.696416i | ||||
\(590\) | 1.04043 | + | 9.75354i | 0.0428337 | + | 0.401547i | ||||
\(591\) | −14.0369 | − | 8.10419i | −0.577400 | − | 0.333362i | ||||
\(592\) | 13.7965 | − | 8.57264i | 0.567033 | − | 0.352333i | ||||
\(593\) | −6.78778 | − | 11.7568i | −0.278741 | − | 0.482793i | 0.692331 | − | 0.721580i | \(-0.256584\pi\) |
−0.971072 | + | 0.238787i | \(0.923250\pi\) | |||||||
\(594\) | −2.72531 | + | 6.14677i | −0.111821 | + | 0.252205i | ||||
\(595\) | 2.34612 | − | 5.31847i | 0.0961815 | − | 0.218036i | ||||
\(596\) | −20.3917 | + | 7.29232i | −0.835278 | + | 0.298705i | ||||
\(597\) | −0.0189425 | − | 0.143882i | −0.000775264 | − | 0.00588872i | ||||
\(598\) | 42.9313 | + | 26.2169i | 1.75559 | + | 1.07209i | ||||
\(599\) | 2.01171 | − | 0.539035i | 0.0821961 | − | 0.0220244i | −0.217487 | − | 0.976063i | \(-0.569786\pi\) |
0.299683 | + | 0.954039i | \(0.403119\pi\) | |||||||
\(600\) | 4.11698 | − | 11.8001i | 0.168075 | − | 0.481737i | ||||
\(601\) | −7.59658 | + | 7.59658i | −0.309871 | + | 0.309871i | −0.844859 | − | 0.534988i | \(-0.820316\pi\) |
0.534988 | + | 0.844859i | \(0.320316\pi\) | |||||||
\(602\) | 7.26803 | − | 3.74895i | 0.296223 | − | 0.152796i | ||||
\(603\) | −5.53244 | − | 2.29161i | −0.225298 | − | 0.0933217i | ||||
\(604\) | −12.8162 | − | 24.9615i | −0.521482 | − | 1.01567i | ||||
\(605\) | −8.77314 | − | 1.15501i | −0.356679 | − | 0.0469577i | ||||
\(606\) | −16.1774 | − | 2.53655i | −0.657161 | − | 0.103040i | ||||
\(607\) | −10.5123 | − | 18.2078i | −0.426680 | − | 0.739032i | 0.569895 | − | 0.821717i | \(-0.306984\pi\) |
−0.996576 | + | 0.0826851i | \(0.973650\pi\) | |||||||
\(608\) | −9.89242 | − | 12.6872i | −0.401191 | − | 0.514535i | ||||
\(609\) | −23.8553 | + | 5.81373i | −0.966665 | + | 0.235584i | ||||
\(610\) | 0.179306 | − | 0.0691481i | 0.00725987 | − | 0.00279972i | ||||
\(611\) | 32.8265 | − | 42.7803i | 1.32802 | − | 1.73071i | ||||
\(612\) | −4.84286 | − | 3.12369i | −0.195761 | − | 0.126268i | ||||
\(613\) | 21.9395 | + | 28.5921i | 0.886128 | + | 1.15482i | 0.987127 | + | 0.159938i | \(0.0511293\pi\) |
−0.101000 | + | 0.994886i | \(0.532204\pi\) | |||||||
\(614\) | 16.4022 | + | 4.83091i | 0.661939 | + | 0.194960i | ||||
\(615\) | 1.34211 | + | 1.34211i | 0.0541190 | + | 0.0541190i | ||||
\(616\) | 35.0951 | − | 5.84956i | 1.41402 | − | 0.235685i | ||||
\(617\) | 10.3903 | − | 10.3903i | 0.418297 | − | 0.418297i | −0.466319 | − | 0.884617i | \(-0.654420\pi\) |
0.884617 | + | 0.466319i | \(0.154420\pi\) | |||||||
\(618\) | 13.4565 | − | 7.33329i | 0.541298 | − | 0.294988i | ||||
\(619\) | 7.35112 | − | 5.64072i | 0.295467 | − | 0.226719i | −0.450380 | − | 0.892837i | \(-0.648712\pi\) |
0.745847 | + | 0.666117i | \(0.232045\pi\) | |||||||
\(620\) | 1.75774 | − | 9.65081i | 0.0705926 | − | 0.387586i | ||||
\(621\) | −6.97088 | − | 5.34894i | −0.279732 | − | 0.214646i | ||||
\(622\) | 6.78702 | + | 3.00918i | 0.272135 | + | 0.120657i | ||||
\(623\) | −3.32189 | + | 11.3574i | −0.133089 | + | 0.455023i | ||||
\(624\) | −10.2683 | − | 12.5207i | −0.411060 | − | 0.501230i | ||||
\(625\) | 14.3907 | − | 8.30850i | 0.575630 | − | 0.332340i | ||||
\(626\) | 25.1569 | − | 18.3372i | 1.00547 | − | 0.732901i | ||||
\(627\) | −1.76494 | + | 13.4060i | −0.0704848 | + | 0.535386i | ||||
\(628\) | 0.186463 | + | 2.27889i | 0.00744069 | + | 0.0909376i | ||||
\(629\) | 4.47769 | − | 10.8101i | 0.178537 | − | 0.431027i | ||||
\(630\) | −2.11066 | + | 1.91956i | −0.0840908 | + | 0.0764773i | ||||
\(631\) | 23.8077 | + | 23.8077i | 0.947770 | + | 0.947770i | 0.998702 | − | 0.0509320i | \(-0.0162192\pi\) |
−0.0509320 | + | 0.998702i | \(0.516219\pi\) | |||||||
\(632\) | 1.15150 | + | 20.1762i | 0.0458042 | + | 0.802567i | ||||
\(633\) | −3.31545 | − | 12.3734i | −0.131777 | − | 0.491800i | ||||
\(634\) | 8.58651 | − | 2.07552i | 0.341014 | − | 0.0824295i | ||||
\(635\) | 1.56775 | − | 0.206399i | 0.0622145 | − | 0.00819069i | ||||
\(636\) | 14.3648 | − | 13.0150i | 0.569602 | − | 0.516079i | ||||
\(637\) | 26.6465 | − | 9.64216i | 1.05577 | − | 0.382036i | ||||
\(638\) | −58.2204 | + | 22.4523i | −2.30497 | + | 0.888896i | ||||
\(639\) | −10.8838 | + | 6.28378i | −0.430558 | + | 0.248583i | ||||
\(640\) | −0.770119 | − | 8.59223i | −0.0304416 | − | 0.339638i | ||||
\(641\) | −3.13079 | + | 5.42268i | −0.123659 | + | 0.214183i | −0.921208 | − | 0.389071i | \(-0.872796\pi\) |
0.797549 | + | 0.603254i | \(0.206129\pi\) | |||||||
\(642\) | 8.98916 | + | 7.25624i | 0.354774 | + | 0.286381i | ||||
\(643\) | −2.81967 | + | 1.16795i | −0.111197 | + | 0.0460593i | −0.437588 | − | 0.899175i | \(-0.644167\pi\) |
0.326391 | + | 0.945235i | \(0.394167\pi\) | |||||||
\(644\) | −3.34519 | + | 46.3738i | −0.131819 | + | 1.82738i | ||||
\(645\) | −0.637762 | + | 1.53969i | −0.0251118 | + | 0.0606253i | ||||
\(646\) | −11.1170 | − | 3.27428i | −0.437394 | − | 0.128825i | ||||
\(647\) | −38.2546 | + | 10.2503i | −1.50394 | + | 0.402981i | −0.914419 | − | 0.404770i | \(-0.867352\pi\) |
−0.589525 | + | 0.807750i | \(0.700685\pi\) | |||||||
\(648\) | 1.55149 | + | 2.36493i | 0.0609481 | + | 0.0929032i | ||||
\(649\) | −11.1935 | + | 41.7746i | −0.439383 | + | 1.63980i | ||||
\(650\) | 0.622985 | − | 25.2888i | 0.0244355 | − | 0.991910i | ||||
\(651\) | 10.6649 | − | 13.2628i | 0.417991 | − | 0.519810i | ||||
\(652\) | −27.4330 | − | 12.9806i | −1.07436 | − | 0.508361i | ||||
\(653\) | −19.8412 | + | 25.8576i | −0.776448 | + | 1.01189i | 0.222866 | + | 0.974849i | \(0.428459\pi\) |
−0.999314 | + | 0.0370374i | \(0.988208\pi\) | |||||||
\(654\) | 12.9693 | + | 17.7926i | 0.507138 | + | 0.695745i | ||||
\(655\) | −2.65050 | + | 4.59080i | −0.103563 | + | 0.179377i | ||||
\(656\) | −9.31752 | − | 3.51053i | −0.363788 | − | 0.137063i | ||||
\(657\) | 15.3876 | 0.600327 | ||||||||
\(658\) | 49.0503 | + | 8.83855i | 1.91218 | + | 0.344563i | ||||
\(659\) | −29.3294 | + | 12.1486i | −1.14251 | + | 0.473244i | −0.872016 | − | 0.489477i | \(-0.837188\pi\) |
−0.270496 | + | 0.962721i | \(0.587188\pi\) | |||||||
\(660\) | −4.69174 | + | 5.52794i | −0.182626 | + | 0.215175i | ||||
\(661\) | 1.63398 | + | 2.12944i | 0.0635543 | + | 0.0828256i | 0.824049 | − | 0.566519i | \(-0.191710\pi\) |
−0.760495 | + | 0.649344i | \(0.775043\pi\) | |||||||
\(662\) | 11.1677 | − | 18.2876i | 0.434045 | − | 0.710768i | ||||
\(663\) | −11.2672 | − | 3.01903i | −0.437580 | − | 0.117249i | ||||
\(664\) | −0.00459079 | + | 0.0620175i | −0.000178157 | + | 0.00240675i | ||||
\(665\) | −2.98100 | + | 4.90220i | −0.115598 | + | 0.190099i | ||||
\(666\) | −4.15951 | + | 3.95950i | −0.161178 | + | 0.153428i | ||||
\(667\) | −10.6435 | − | 80.8451i | −0.412116 | − | 3.13033i | ||||
\(668\) | 22.3569 | − | 34.6614i | 0.865015 | − | 1.34109i | ||||
\(669\) | −3.22618 | + | 24.5052i | −0.124731 | + | 0.947427i | ||||
\(670\) | −5.02460 | − | 4.05596i | −0.194117 | − | 0.156695i | ||||
\(671\) | 0.847327 | 0.0327107 | ||||||||
\(672\) | 5.93424 | − | 13.7399i | 0.228918 | − | 0.530028i | ||||
\(673\) | 12.9129 | 0.497756 | 0.248878 | − | 0.968535i | \(-0.419938\pi\) | ||||
0.248878 | + | 0.968535i | \(0.419938\pi\) | |||||||
\(674\) | 21.0980 | + | 17.0307i | 0.812663 | + | 0.655998i | ||||
\(675\) | −0.576743 | + | 4.38080i | −0.0221988 | + | 0.168617i | ||||
\(676\) | −5.69401 | − | 3.67269i | −0.219000 | − | 0.141257i | ||||
\(677\) | −1.53971 | − | 11.6953i | −0.0591759 | − | 0.449485i | −0.995224 | − | 0.0976143i | \(-0.968879\pi\) |
0.936048 | − | 0.351871i | \(-0.114454\pi\) | |||||||
\(678\) | 14.1237 | − | 13.4445i | 0.542416 | − | 0.516334i | ||||
\(679\) | −36.5346 | − | 0.831345i | −1.40207 | − | 0.0319041i | ||||
\(680\) | −4.05780 | − | 4.70658i | −0.155610 | − | 0.180489i | ||||
\(681\) | 15.6512 | + | 4.19373i | 0.599756 | + | 0.160704i | ||||
\(682\) | 22.5416 | − | 36.9129i | 0.863162 | − | 1.41347i | ||||
\(683\) | −11.2969 | − | 14.7224i | −0.432262 | − | 0.563335i | 0.525538 | − | 0.850770i | \(-0.323864\pi\) |
−0.957800 | + | 0.287435i | \(0.907197\pi\) | |||||||
\(684\) | 4.33661 | + | 3.68063i | 0.165815 | + | 0.140732i | ||||
\(685\) | −2.77282 | + | 1.14854i | −0.105944 | + | 0.0438835i | ||||
\(686\) | 19.2108 | + | 17.8030i | 0.733471 | + | 0.679720i | ||||
\(687\) | 10.7248 | 0.409177 | ||||||||
\(688\) | −0.283041 | − | 8.73801i | −0.0107908 | − | 0.333134i | ||||
\(689\) | 19.6175 | − | 33.9785i | 0.747368 | − | 1.29448i | ||||
\(690\) | −5.58107 | − | 7.65670i | −0.212468 | − | 0.291486i | ||||
\(691\) | −17.5589 | + | 22.8832i | −0.667973 | + | 0.870519i | −0.997280 | − | 0.0737034i | \(-0.976518\pi\) |
0.329307 | + | 0.944223i | \(0.393185\pi\) | |||||||
\(692\) | −16.4095 | + | 34.6794i | −0.623794 | + | 1.31831i | ||||
\(693\) | −11.7281 | + | 4.54821i | −0.445515 | + | 0.172772i | ||||
\(694\) | 0.121941 | − | 4.94994i | 0.00462881 | − | 0.187897i | ||||
\(695\) | 1.20213 | − | 4.48642i | 0.0455994 | − | 0.170179i | ||||
\(696\) | −5.33797 | + | 25.7003i | −0.202335 | + | 0.974167i | ||||
\(697\) | −6.92816 | + | 1.85639i | −0.262423 | + | 0.0703159i | ||||
\(698\) | −3.81743 | − | 1.12434i | −0.144492 | − | 0.0425569i | ||||
\(699\) | −0.341135 | + | 0.823573i | −0.0129029 | + | 0.0311504i | ||||
\(700\) | 21.0372 | − | 10.2034i | 0.795131 | − | 0.385651i | ||||
\(701\) | 13.2873 | − | 5.50376i | 0.501853 | − | 0.207874i | −0.117372 | − | 0.993088i | \(-0.537447\pi\) |
0.619225 | + | 0.785214i | \(0.287447\pi\) | |||||||
\(702\) | 4.45475 | + | 3.59596i | 0.168134 | + | 0.135721i | ||||
\(703\) | −5.77436 | + | 10.0015i | −0.217784 | + | 0.377213i | ||||
\(704\) | 10.4631 | − | 36.5684i | 0.394343 | − | 1.37822i | ||||
\(705\) | −8.79600 | + | 5.07837i | −0.331277 | + | 0.191263i | ||||
\(706\) | −29.0274 | + | 11.1942i | −1.09246 | + | 0.421300i | ||||
\(707\) | −18.0916 | − | 24.7223i | −0.680405 | − | 0.929776i | ||||
\(708\) | 12.2151 | + | 13.4820i | 0.459072 | + | 0.506683i | ||||
\(709\) | −26.4388 | + | 3.48073i | −0.992929 | + | 0.130722i | −0.609447 | − | 0.792827i | \(-0.708608\pi\) |
−0.383482 | + | 0.923548i | \(0.625275\pi\) | |||||||
\(710\) | −13.1727 | + | 3.18408i | −0.494361 | + | 0.119496i | ||||
\(711\) | −1.84926 | − | 6.90152i | −0.0693525 | − | 0.258827i | ||||
\(712\) | 9.44021 | + | 8.42084i | 0.353787 | + | 0.315584i | ||||
\(713\) | 39.9657 | + | 39.9657i | 1.49673 | + | 1.49673i | ||||
\(714\) | −2.29405 | − | 10.5345i | −0.0858527 | − | 0.394243i | ||||
\(715\) | −5.61619 | + | 13.5587i | −0.210034 | + | 0.507066i | ||||
\(716\) | 26.0941 | − | 2.13507i | 0.975181 | − | 0.0797912i | ||||
\(717\) | −1.13269 | + | 8.60364i | −0.0423011 | + | 0.321309i | ||||
\(718\) | 3.10437 | − | 2.26282i | 0.115854 | − | 0.0844476i | ||||
\(719\) | −37.9540 | + | 21.9127i | −1.41544 | + | 0.817207i | −0.995894 | − | 0.0905252i | \(-0.971145\pi\) |
−0.419550 | + | 0.907732i | \(0.637812\pi\) | |||||||
\(720\) | 0.884360 | + | 2.91896i | 0.0329581 | + | 0.108783i | ||||
\(721\) | 27.5174 | + | 8.04851i | 1.02480 | + | 0.299742i | ||||
\(722\) | −14.1071 | − | 6.25468i | −0.525010 | − | 0.232775i | ||||
\(723\) | 12.2955 | + | 9.43465i | 0.457274 | + | 0.350878i | ||||
\(724\) | −24.9904 | − | 4.55161i | −0.928762 | − | 0.169159i | ||||
\(725\) | −32.5324 | + | 24.9630i | −1.20822 | + | 0.927101i | ||||
\(726\) | −14.4110 | + | 7.85351i | −0.534844 | + | 0.291471i | ||||
\(727\) | 10.0627 | − | 10.0627i | 0.373206 | − | 0.373206i | −0.495438 | − | 0.868644i | \(-0.664992\pi\) |
0.868644 | + | 0.495438i | \(0.164992\pi\) | |||||||
\(728\) | 2.92306 | − | 30.1525i | 0.108336 | − | 1.11753i | ||||
\(729\) | −0.707107 | − | 0.707107i | −0.0261891 | − | 0.0261891i | ||||
\(730\) | 15.9169 | + | 4.68799i | 0.589113 | + | 0.173510i | ||||
\(731\) | −3.83387 | − | 4.99639i | −0.141801 | − | 0.184798i | ||||
\(732\) | 0.193200 | − | 0.299530i | 0.00714087 | − | 0.0110710i | ||||
\(733\) | 7.95490 | − | 10.3670i | 0.293821 | − | 0.382915i | −0.622994 | − | 0.782226i | \(-0.714084\pi\) |
0.916815 | + | 0.399311i | \(0.130751\pi\) | |||||||
\(734\) | 45.2396 | − | 17.4463i | 1.66982 | − | 0.643956i | ||||
\(735\) | −5.33196 | − | 0.242783i | −0.196672 | − | 0.00895519i | ||||
\(736\) | 43.2367 | + | 24.5179i | 1.59373 | + | 0.903741i | ||||
\(737\) | −14.2356 | − | 24.6567i | −0.524373 | − | 0.908242i | ||||
\(738\) | 3.47781 | + | 0.545305i | 0.128020 | + | 0.0200730i | ||||
\(739\) | 28.3167 | + | 3.72797i | 1.04165 | + | 0.137136i | 0.631889 | − | 0.775059i | \(-0.282280\pi\) |
0.409758 | + | 0.912194i | \(0.365613\pi\) | |||||||
\(740\) | −5.50891 | + | 2.82848i | −0.202512 | + | 0.103977i | ||||
\(741\) | 10.6367 | + | 4.40585i | 0.390747 | + | 0.161853i | ||||
\(742\) | 36.2234 | + | 1.71758i | 1.32980 | + | 0.0630544i | ||||
\(743\) | −9.30773 | + | 9.30773i | −0.341467 | + | 0.341467i | −0.856919 | − | 0.515451i | \(-0.827624\pi\) |
0.515451 | + | 0.856919i | \(0.327624\pi\) | |||||||
\(744\) | −7.90898 | − | 16.3850i | −0.289957 | − | 0.600703i | ||||
\(745\) | 7.97515 | − | 2.13693i | 0.292187 | − | 0.0782912i | ||||
\(746\) | −29.2230 | − | 17.8456i | −1.06993 | − | 0.653374i | ||||
\(747\) | −0.00286981 | − | 0.0217984i | −0.000105001 | − | 0.000797562i | ||||
\(748\) | −9.22617 | − | 25.7994i | −0.337342 | − | 0.943320i | ||||
\(749\) | 2.33282 | + | 21.4863i | 0.0852392 | + | 0.785092i | ||||
\(750\) | −4.11659 | + | 9.28472i | −0.150317 | + | 0.339030i | ||||
\(751\) | −8.25589 | − | 14.2996i | −0.301262 | − | 0.521800i | 0.675160 | − | 0.737671i | \(-0.264074\pi\) |
−0.976422 | + | 0.215871i | \(0.930741\pi\) | |||||||
\(752\) | 31.0502 | − | 43.2990i | 1.13228 | − | 1.57895i | ||||
\(753\) | −17.4133 | − | 10.0536i | −0.634577 | − | 0.366373i | ||||
\(754\) | 5.63551 | + | 52.8304i | 0.205233 | + | 1.92397i | ||||
\(755\) | 4.09380 | + | 9.88331i | 0.148989 | + | 0.359691i | ||||
\(756\) | −1.06635 | + | 5.18294i | −0.0387827 | + | 0.188502i | ||||
\(757\) | −21.4564 | − | 8.88755i | −0.779847 | − | 0.323023i | −0.0429934 | − | 0.999075i | \(-0.513689\pi\) |
−0.736854 | + | 0.676052i | \(0.763689\pi\) | |||||||
\(758\) | 25.5078 | − | 13.9008i | 0.926485 | − | 0.504901i | ||||
\(759\) | −10.8123 | − | 40.3522i | −0.392463 | − | 1.46469i | ||||
\(760\) | 3.36446 | + | 5.12844i | 0.122042 | + | 0.186028i | ||||
\(761\) | 22.1350 | + | 5.93107i | 0.802395 | + | 0.215001i | 0.636635 | − | 0.771165i | \(-0.280326\pi\) |
0.165760 | + | 0.986166i | \(0.446992\pi\) | |||||||
\(762\) | 2.12426 | − | 2.02212i | 0.0769540 | − | 0.0732537i | ||||
\(763\) | −6.30420 | + | 40.7060i | −0.228227 | + | 1.47366i | ||||
\(764\) | −21.3299 | − | 23.5421i | −0.771690 | − | 0.851724i | ||||
\(765\) | 1.74307 | + | 1.33750i | 0.0630208 | + | 0.0483575i | ||||
\(766\) | 15.3051 | + | 2.39978i | 0.552996 | + | 0.0867074i | ||||
\(767\) | 31.8902 | + | 18.4118i | 1.15149 | + | 0.664813i | ||||
\(768\) | −10.5412 | − | 12.0367i | −0.380374 | − | 0.434337i | ||||
\(769\) | 9.26403i | 0.334070i | 0.985951 | + | 0.167035i | \(0.0534192\pi\) | ||||
−0.985951 | + | 0.167035i | \(0.946581\pi\) | |||||||
\(770\) | −13.5173 | + | 1.13158i | −0.487128 | + | 0.0407793i | ||||
\(771\) | 1.26538 | + | 3.05490i | 0.0455715 | + | 0.110019i | ||||
\(772\) | 6.47900 | + | 2.08297i | 0.233184 | + | 0.0749677i | ||||
\(773\) | −3.88397 | + | 2.98027i | −0.139697 | + | 0.107193i | −0.676246 | − | 0.736676i | \(-0.736394\pi\) |
0.536549 | + | 0.843869i | \(0.319728\pi\) | |||||||
\(774\) | 0.726232 | + | 3.00445i | 0.0261039 | + | 0.107993i | ||||
\(775\) | 7.35636 | − | 27.4543i | 0.264248 | − | 0.986188i | ||||
\(776\) | −17.5741 | + | 34.8913i | −0.630873 | + | 1.25252i | ||||
\(777\) | −10.7409 | − | 0.244410i | −0.385329 | − | 0.00876815i | ||||
\(778\) | −16.9138 | − | 0.416669i | −0.606391 | − | 0.0149383i | ||||
\(779\) | 7.01878 | − | 0.924040i | 0.251474 | − | 0.0331072i | ||||
\(780\) | 3.51245 | + | 5.07685i | 0.125766 | + | 0.181781i | ||||
\(781\) | −59.2411 | − | 7.79923i | −2.11981 | − | 0.279078i | ||||
\(782\) | 35.6031 | − | 3.79785i | 1.27317 | − | 0.135811i | ||||
\(783\) | − | 9.28035i | − | 0.331653i | ||||||
\(784\) | 26.0070 | − | 10.3748i | 0.928821 | − | 0.370528i | ||||
\(785\) | − | 0.871727i | − | 0.0311133i | ||||||
\(786\) | 1.04286 | + | 9.77636i | 0.0371976 | + | 0.348711i | ||||
\(787\) | −7.40405 | − | 0.974761i | −0.263926 | − | 0.0347465i | −0.00259808 | − | 0.999997i | \(-0.500827\pi\) |
−0.261328 | + | 0.965250i | \(0.584160\pi\) | |||||||
\(788\) | −31.8921 | − | 5.80864i | −1.13611 | − | 0.206924i | ||||
\(789\) | 4.38704 | − | 0.577565i | 0.156183 | − | 0.0205619i | ||||
\(790\) | 0.189745 | − | 7.70233i | 0.00675083 | − | 0.274037i | ||||
\(791\) | 36.4709 | + | 0.829895i | 1.29676 | + | 0.0295077i | ||||
\(792\) | −0.992738 | + | 13.4110i | −0.0352754 | + | 0.476539i | ||||
\(793\) | 0.186726 | − | 0.696872i | 0.00663084 | − | 0.0247466i | ||||
\(794\) | −0.131316 | + | 0.0317415i | −0.00466023 | + | 0.00112647i | ||||
\(795\) | −5.86297 | + | 4.49882i | −0.207938 | + | 0.159557i | ||||
\(796\) | −0.132571 | − | 0.258203i | −0.00469885 | − | 0.00915177i | ||||
\(797\) | −5.06309 | − | 12.2234i | −0.179344 | − | 0.432974i | 0.808486 | − | 0.588516i | \(-0.200288\pi\) |
−0.987829 | + | 0.155542i | \(0.950288\pi\) | |||||||
\(798\) | 0.887712 | + | 10.6042i | 0.0314247 | + | 0.375383i | ||||
\(799\) | − | 38.3818i | − | 1.35785i | ||||||
\(800\) | −0.193731 | − | 24.9946i | −0.00684942 | − | 0.883693i | ||||
\(801\) | −3.87332 | − | 2.23626i | −0.136857 | − | 0.0790145i | ||||
\(802\) | 1.95046 | − | 12.4395i | 0.0688732 | − | 0.439254i | ||||
\(803\) | 58.0417 | + | 44.5370i | 2.04825 | + | 1.57168i | ||||
\(804\) | −11.9620 | − | 0.589721i | −0.421868 | − | 0.0207979i | ||||
\(805\) | 2.71289 | − | 17.5171i | 0.0956169 | − | 0.617395i | ||||
\(806\) | −25.3909 | − | 26.6735i | −0.894358 | − | 0.939535i | ||||
\(807\) | 4.10519 | + | 1.09998i | 0.144510 | + | 0.0387212i | ||||
\(808\) | −32.1736 | + | 6.11791i | −1.13186 | + | 0.215227i | ||||
\(809\) | −4.77978 | − | 17.8384i | −0.168048 | − | 0.627164i | −0.997632 | − | 0.0687817i | \(-0.978089\pi\) |
0.829584 | − | 0.558383i | \(-0.188578\pi\) | |||||||
\(810\) | −0.516005 | − | 0.946860i | −0.0181306 | − | 0.0332693i | ||||
\(811\) | 7.37208 | + | 3.05362i | 0.258869 | + | 0.107227i | 0.508344 | − | 0.861154i | \(-0.330258\pi\) |
−0.249475 | + | 0.968381i | \(0.580258\pi\) | |||||||
\(812\) | −41.0091 | + | 27.0139i | −1.43914 | + | 0.948003i | ||||
\(813\) | 5.44516 | + | 13.1458i | 0.190970 | + | 0.461043i | ||||
\(814\) | −27.1498 | + | 2.89612i | −0.951599 | + | 0.101509i | ||||
\(815\) | 10.0204 | + | 5.78528i | 0.350999 | + | 0.202649i | ||||
\(816\) | −11.2238 | − | 2.62109i | −0.392910 | − | 0.0917565i | ||||
\(817\) | 3.10799 | + | 5.38319i | 0.108735 | + | 0.188334i | ||||
\(818\) | −48.1240 | − | 21.3368i | −1.68261 | − | 0.746025i | ||||
\(819\) | 1.15607 | + | 10.6479i | 0.0403964 | + | 0.372069i | ||||
\(820\) | 3.43132 | + | 1.62361i | 0.119827 | + | 0.0566991i | ||||
\(821\) | 0.693762 | + | 5.26965i | 0.0242125 | + | 0.183912i | 0.999277 | − | 0.0380075i | \(-0.0121011\pi\) |
−0.975065 | + | 0.221920i | \(0.928768\pi\) | |||||||
\(822\) | −2.90114 | + | 4.75074i | −0.101189 | + | 0.165701i | ||||
\(823\) | 20.8750 | − | 5.59343i | 0.727656 | − | 0.194975i | 0.124071 | − | 0.992273i | \(-0.460405\pi\) |
0.603585 | + | 0.797299i | \(0.293738\pi\) | |||||||
\(824\) | 20.4026 | − | 22.8724i | 0.710759 | − | 0.796798i | ||||
\(825\) | −14.8550 | + | 14.8550i | −0.517185 | + | 0.517185i | ||||
\(826\) | −1.61202 | + | 33.9971i | −0.0560893 | + | 1.18291i | ||||
\(827\) | −19.4683 | − | 8.06405i | −0.676981 | − | 0.280415i | 0.0175834 | − | 0.999845i | \(-0.494403\pi\) |
−0.694564 | + | 0.719431i | \(0.744403\pi\) | |||||||
\(828\) | −16.7299 | − | 5.37857i | −0.581403 | − | 0.186918i | ||||
\(829\) | −42.8183 | − | 5.63713i | −1.48714 | − | 0.195786i | −0.657233 | − | 0.753687i | \(-0.728273\pi\) |
−0.829907 | + | 0.557901i | \(0.811607\pi\) | |||||||
\(830\) | 0.00367257 | − | 0.0234226i | 0.000127477 | − | 0.000813011i | ||||
\(831\) | −4.44854 | − | 7.70510i | −0.154318 | − | 0.267287i | ||||
\(832\) | −27.7694 | − | 16.6638i | −0.962731 | − | 0.577715i | ||||
\(833\) | 10.8691 | − | 16.9910i | 0.376594 | − | 0.588703i | ||||
\(834\) | −3.09964 | − | 8.03758i | −0.107332 | − | 0.278319i | ||||
\(835\) | −9.57280 | + | 12.4755i | −0.331280 | + | 0.431733i | ||||
\(836\) | 5.70463 | + | 26.4349i | 0.197299 | + | 0.914270i | ||||
\(837\) | 3.91588 | + | 5.10327i | 0.135353 | + | 0.176395i | ||||
\(838\) | 6.41291 | − | 21.7735i | 0.221530 | − | 0.752154i | ||||
\(839\) | −9.63217 | − | 9.63217i | −0.332539 | − | 0.332539i | 0.521011 | − | 0.853550i | \(-0.325555\pi\) |
−0.853550 | + | 0.521011i | \(0.825555\pi\) | |||||||
\(840\) | −2.68207 | + | 5.03637i | −0.0925402 | + | 0.173771i | ||||
\(841\) | 40.3934 | − | 40.3934i | 1.39288 | − | 1.39288i | ||||
\(842\) | −11.2367 | − | 20.6192i | −0.387243 | − | 0.710584i | ||||
\(843\) | 12.8350 | − | 9.84866i | 0.442062 | − | 0.339206i | ||||
\(844\) | −14.5766 | − | 21.0689i | −0.501748 | − | 0.725221i | ||||
\(845\) | 2.04942 | + | 1.57257i | 0.0705021 | + | 0.0540982i | ||||
\(846\) | −7.63536 | + | 17.2211i | −0.262509 | + | 0.592073i | ||||
\(847\) | −29.4695 | − | 8.61946i | −1.01258 | − | 0.296168i | ||||
\(848\) | 18.2869 | − | 34.1840i | 0.627973 | − | 1.17388i | ||||
\(849\) | 4.91277 | − | 2.83639i | 0.168606 | − | 0.0973447i | ||||
\(850\) | −10.6060 | − | 14.5505i | −0.363784 | − | 0.499077i | ||||
\(851\) | 4.65719 | − | 35.3748i | 0.159646 | − | 1.21263i | ||||
\(852\) | −16.2646 | + | 19.1634i | −0.557217 | + | 0.656528i | ||||
\(853\) | −13.6192 | + | 32.8796i | −0.466312 | + | 1.12578i | 0.499449 | + | 0.866343i | \(0.333536\pi\) |
−0.965761 | + | 0.259433i | \(0.916464\pi\) | |||||||
\(854\) | 0.651555 | − | 0.141887i | 0.0222958 | − | 0.00485526i | ||||
\(855\) | −1.53339 | − | 1.53339i | −0.0524408 | − | 0.0524408i | ||||
\(856\) | 21.8152 | + | 7.61117i | 0.745627 | + | 0.260145i | ||||
\(857\) | 8.08753 | + | 30.1831i | 0.276265 | + | 1.03103i | 0.954989 | + | 0.296641i | \(0.0958665\pi\) |
−0.678724 | + | 0.734393i | \(0.737467\pi\) | |||||||
\(858\) | 6.39527 | + | 26.4575i | 0.218331 | + | 0.903243i | ||||
\(859\) | −23.0427 | + | 3.03363i | −0.786207 | + | 0.103506i | −0.512931 | − | 0.858430i | \(-0.671440\pi\) |
−0.273276 | + | 0.961936i | \(0.588107\pi\) | |||||||
\(860\) | −0.164121 | + | 3.32906i | −0.00559648 | + | 0.113520i | ||||
\(861\) | 3.88933 | + | 5.31478i | 0.132548 | + | 0.181127i | ||||
\(862\) | −13.2308 | − | 34.3084i | −0.450643 | − | 1.16855i | ||||
\(863\) | −6.83903 | + | 3.94851i | −0.232803 | + | 0.134409i | −0.611865 | − | 0.790963i | \(-0.709580\pi\) |
0.379061 | + | 0.925372i | \(0.376247\pi\) | |||||||
\(864\) | 4.51444 | + | 3.40879i | 0.153584 | + | 0.115969i | ||||
\(865\) | 7.31345 | − | 12.6673i | 0.248665 | − | 0.430700i | ||||
\(866\) | 15.5456 | − | 19.2582i | 0.528261 | − | 0.654420i | ||||
\(867\) | 8.03527 | − | 3.32832i | 0.272892 | − | 0.113036i | ||||
\(868\) | 11.1523 | − | 32.1589i | 0.378534 | − | 1.09154i | ||||
\(869\) | 13.0000 | − | 31.3848i | 0.440995 | − | 1.06466i | ||||
\(870\) | 2.82735 | − | 9.59961i | 0.0958563 | − | 0.325457i | ||||
\(871\) | −23.4157 | + | 6.27421i | −0.793409 | + | 0.212593i | ||||
\(872\) | 36.4063 | + | 24.7728i | 1.23287 | + | 0.838914i | ||||
\(873\) | 3.57490 | − | 13.3417i | 0.120992 | − | 0.451548i | ||||
\(874\) | −35.3291 | − | 0.870325i | −1.19502 | − | 0.0294392i | ||||
\(875\) | −17.7154 | + | 6.87009i | −0.598890 | + | 0.232251i | ||||
\(876\) | 28.9780 | − | 10.3629i | 0.979075 | − | 0.350128i | ||||
\(877\) | −10.2138 | + | 13.3108i | −0.344894 | + | 0.449475i | −0.933304 | − | 0.359088i | \(-0.883088\pi\) |
0.588409 | + | 0.808563i | \(0.299754\pi\) | |||||||
\(878\) | −18.2811 | + | 13.3253i | −0.616956 | + | 0.449708i | ||||
\(879\) | 9.27162 | − | 16.0589i | 0.312724 | − | 0.541654i | ||||
\(880\) | −5.11269 | + | 13.5699i | −0.172349 | + | 0.457442i | ||||
\(881\) | 25.6671 | 0.864747 | 0.432374 | − | 0.901695i | \(-0.357676\pi\) | ||||
0.432374 | + | 0.901695i | \(0.357676\pi\) | |||||||
\(882\) | −8.25679 | + | 5.46127i | −0.278021 | + | 0.183890i | ||||
\(883\) | 12.8820 | − | 5.33590i | 0.433514 | − | 0.179567i | −0.155245 | − | 0.987876i | \(-0.549617\pi\) |
0.588759 | + | 0.808309i | \(0.299617\pi\) | |||||||
\(884\) | −23.2515 | + | 1.90249i | −0.782034 | + | 0.0639876i | ||||
\(885\) | −4.22232 | − | 5.50264i | −0.141932 | − | 0.184969i | ||||
\(886\) | −7.00071 | − | 4.27513i | −0.235193 | − | 0.143626i | ||||
\(887\) | −13.7047 | − | 3.67215i | −0.460157 | − | 0.123299i | 0.0212910 | − | 0.999773i | \(-0.493222\pi\) |
−0.481448 | + | 0.876475i | \(0.659889\pi\) | |||||||
\(888\) | −5.16666 | + | 10.2578i | −0.173382 | + | 0.344229i | ||||
\(889\) | 5.48540 | + | 0.124820i | 0.183974 | + | 0.00418633i | ||||
\(890\) | −3.32527 | − | 3.49324i | −0.111463 | − | 0.117094i | ||||
\(891\) | −0.620584 | − | 4.71380i | −0.0207904 | − | 0.157918i | ||||
\(892\) | 10.4276 | + | 48.3210i | 0.349143 | + | 1.61791i | ||||
\(893\) | −4.94473 | + | 37.5590i | −0.165469 | + | 1.25686i | ||||
\(894\) | 9.61858 | − | 11.9157i | 0.321693 | − | 0.398520i | ||||
\(895\) | −9.98157 | −0.333647 | ||||||||
\(896\) | 1.92218 | − | 29.8715i | 0.0642157 | − | 0.997936i | ||||
\(897\) | −35.5698 | −1.18764 | ||||||||
\(898\) | 2.96111 | − | 3.66828i | 0.0988134 | − | 0.122412i | ||||
\(899\) | −7.79191 | + | 59.1855i | −0.259875 | + | 1.97395i | ||||
\(900\) | 1.86415 | + | 8.63834i | 0.0621382 | + | 0.287945i | ||||
\(901\) | −3.64519 | − | 27.6880i | −0.121439 | − | 0.922420i | ||||
\(902\) | 11.5399 | + | 12.1229i | 0.384237 | + | 0.403647i | ||||
\(903\) | −3.00452 | + | 4.94088i | −0.0999842 | + | 0.164422i | ||||
\(904\) | 17.5434 | − | 34.8304i | 0.583486 | − | 1.15844i | ||||
\(905\) | 9.35432 | + | 2.50648i | 0.310948 | + | 0.0833183i | ||||
\(906\) | 16.9333 | + | 10.3407i | 0.562571 | + | 0.343546i | ||||
\(907\) | 9.83259 | + | 12.8141i | 0.326486 | + | 0.425484i | 0.927540 | − | 0.373724i | \(-0.121919\pi\) |
−0.601054 | + | 0.799208i | \(0.705253\pi\) | |||||||
\(908\) | 32.2987 | − | 2.64274i | 1.07187 | − | 0.0877025i | ||||
\(909\) | 10.6975 | − | 4.43105i | 0.354814 | − | 0.146969i | ||||
\(910\) | −2.04816 | + | 11.3664i | −0.0678959 | + | 0.376794i | ||||
\(911\) | 54.8984 | 1.81887 | 0.909433 | − | 0.415851i | \(-0.136516\pi\) | ||||
0.909433 | + | 0.415851i | \(0.136516\pi\) | |||||||
\(912\) | 10.6455 | + | 4.01086i | 0.352507 | + | 0.132813i | ||||
\(913\) | 0.0522672 | − | 0.0905294i | 0.00172979 | − | 0.00299609i | ||||
\(914\) | −25.4654 | + | 18.5621i | −0.842320 | + | 0.613979i | ||||
\(915\) | −0.0827244 | + | 0.107808i | −0.00273478 | + | 0.00356404i | ||||
\(916\) | 20.1970 | − | 7.22268i | 0.667328 | − | 0.238644i | ||||
\(917\) | −11.5264 | + | 14.3342i | −0.380636 | + | 0.473356i | ||||
\(918\) | 4.07373 | + | 0.100356i | 0.134453 | + | 0.00331223i | ||||
\(919\) | −5.55562 | + | 20.7339i | −0.183263 | + | 0.683947i | 0.811733 | + | 0.584029i | \(0.198525\pi\) |
−0.994996 | + | 0.0999179i | \(0.968142\pi\) | |||||||
\(920\) | −15.6667 | − | 10.6605i | −0.516517 | − | 0.351467i | ||||
\(921\) | −11.6787 | + | 3.12930i | −0.384827 | + | 0.103114i | ||||
\(922\) | −0.951031 | + | 3.22900i | −0.0313205 | + | 0.106341i | ||||
\(923\) | −19.4694 | + | 47.0032i | −0.640842 | + | 1.54713i | ||||
\(924\) | −19.0235 | + | 16.4636i | −0.625826 | + | 0.541612i | ||||
\(925\) | −16.5770 | + | 6.86641i | −0.545047 | + | 0.225766i | ||||
\(926\) | 25.3987 | − | 31.4643i | 0.834652 | − | 1.03398i | ||||
\(927\) | −5.41818 | + | 9.38457i | −0.177956 | + | 0.308230i | ||||
\(928\) | 7.25551 | + | 51.9938i | 0.238174 | + | 1.70678i | ||||
\(929\) | −18.4514 | + | 10.6529i | −0.605372 | + | 0.349512i | −0.771152 | − | 0.636651i | \(-0.780319\pi\) |
0.165780 | + | 0.986163i | \(0.446986\pi\) | |||||||
\(930\) | 2.49583 | + | 6.47185i | 0.0818414 | + | 0.212220i | ||||
\(931\) | −12.8251 | + | 15.2264i | −0.420325 | + | 0.499027i | ||||
\(932\) | −0.0877874 | + | 1.78070i | −0.00287557 | + | 0.0583286i | ||||
\(933\) | −5.20479 | + | 0.685224i | −0.170397 | + | 0.0224332i | ||||
\(934\) | 4.36253 | + | 18.0479i | 0.142746 | + | 0.590547i | ||||
\(935\) | 2.70363 | + | 10.0901i | 0.0884181 | + | 0.329981i | ||||
\(936\) | 10.8109 | + | 3.77186i | 0.353366 | + | 0.123287i | ||||
\(937\) | −16.9942 | − | 16.9942i | −0.555177 | − | 0.555177i | 0.372754 | − | 0.927930i | \(-0.378414\pi\) |
−0.927930 | + | 0.372754i | \(0.878414\pi\) | |||||||
\(938\) | −15.0753 | − | 16.5761i | −0.492226 | − | 0.541229i | ||||
\(939\) | −8.42391 | + | 20.3371i | −0.274904 | + | 0.663677i | ||||
\(940\) | −13.1446 | + | 15.4873i | −0.428730 | + | 0.505141i | ||||
\(941\) | −4.87178 | + | 37.0049i | −0.158816 | + | 1.20632i | 0.707458 | + | 0.706755i | \(0.249842\pi\) |
−0.866274 | + | 0.499569i | \(0.833492\pi\) | |||||||
\(942\) | −0.952359 | − | 1.30655i | −0.0310295 | − | 0.0425696i | ||||
\(943\) | −18.9416 | + | 10.9359i | −0.616822 | + | 0.356122i | ||||
\(944\) | 32.0831 | + | 17.1630i | 1.04421 | + | 0.558607i | ||||
\(945\) | 0.566331 | − | 1.93626i | 0.0184227 | − | 0.0629864i | ||||
\(946\) | −5.95657 | + | 13.4347i | −0.193665 | + | 0.436800i | ||||
\(947\) | 6.15484 | + | 4.72277i | 0.200005 | + | 0.153469i | 0.703908 | − | 0.710291i | \(-0.251437\pi\) |
−0.503903 | + | 0.863760i | \(0.668103\pi\) | |||||||
\(948\) | −8.13039 | − | 11.7516i | −0.264063 | − | 0.381673i | ||||
\(949\) | 49.4195 | − | 37.9209i | 1.60423 | − | 1.23097i | ||||
\(950\) | 8.50411 | + | 15.6049i | 0.275910 | + | 0.506289i | ||||
\(951\) | −4.41690 | + | 4.41690i | −0.143228 | + | 0.143228i | ||||
\(952\) | −11.4147 | − | 18.2936i | −0.369951 | − | 0.592899i | ||||
\(953\) | 33.0947 | + | 33.0947i | 1.07204 | + | 1.07204i | 0.997195 | + | 0.0748485i | \(0.0238473\pi\) |
0.0748485 | + | 0.997195i | \(0.476153\pi\) | |||||||
\(954\) | −3.87249 | + | 13.1481i | −0.125377 | + | 0.425686i | ||||
\(955\) | 7.37299 | + | 9.60867i | 0.238584 | + | 0.310929i | ||||
\(956\) | 3.66108 | + | 16.9652i | 0.118408 | + | 0.548695i | ||||
\(957\) | 26.8605 | − | 35.0053i | 0.868277 | − | 1.13156i | ||||
\(958\) | −1.73180 | − | 4.49067i | −0.0559519 | − | 0.145087i | ||||
\(959\) | −10.1179 | + | 2.46581i | −0.326723 | + | 0.0796250i | ||||
\(960\) | 3.63122 | + | 4.90142i | 0.117197 | + | 0.158193i | ||||
\(961\) | −5.18875 | − | 8.98718i | −0.167379 | − | 0.289909i | ||||
\(962\) | −3.60116 | + | 22.9672i | −0.116106 | + | 0.740491i | ||||
\(963\) | −8.09890 | − | 1.06624i | −0.260983 | − | 0.0343591i | ||||
\(964\) | 29.5087 | + | 9.48692i | 0.950411 | + | 0.305553i | ||||
\(965\) | −2.39712 | − | 0.992920i | −0.0771661 | − | 0.0319632i | ||||
\(966\) | −15.0713 | − | 29.2184i | −0.484910 | − | 0.940088i | ||||
\(967\) | 14.9178 | − | 14.9178i | 0.479723 | − | 0.479723i | −0.425320 | − | 0.905043i | \(-0.639838\pi\) |
0.905043 | + | 0.425320i | \(0.139838\pi\) | |||||||
\(968\) | −21.8499 | + | 24.4950i | −0.702284 | + | 0.787298i | ||||
\(969\) | 7.91557 | − | 2.12097i | 0.254285 | − | 0.0681354i | ||||
\(970\) | 7.76257 | − | 12.7116i | 0.249241 | − | 0.408143i | ||||
\(971\) | −0.396957 | − | 3.01518i | −0.0127389 | − | 0.0967619i | 0.983894 | − | 0.178752i | \(-0.0572059\pi\) |
−0.996633 | + | 0.0819898i | \(0.973873\pi\) | |||||||
\(972\) | −1.80783 | − | 0.855421i | −0.0579862 | − | 0.0274377i | ||||
\(973\) | 6.50458 | − | 14.7454i | 0.208527 | − | 0.472716i | ||||
\(974\) | 0.505858 | + | 0.224284i | 0.0162087 | + | 0.00718651i | ||||
\(975\) | 8.94367 | + | 15.4909i | 0.286427 | + | 0.496105i | ||||
\(976\) | 0.162114 | − | 0.694188i | 0.00518914 | − | 0.0222204i | ||||
\(977\) | 20.4882 | + | 11.8288i | 0.655474 | + | 0.378438i | 0.790550 | − | 0.612397i | \(-0.209795\pi\) |
−0.135076 | + | 0.990835i | \(0.543128\pi\) | |||||||
\(978\) | 21.3390 | − | 2.27627i | 0.682346 | − | 0.0727870i | ||||
\(979\) | −8.13759 | − | 19.6459i | −0.260079 | − | 0.627885i | ||||
\(980\) | −10.2047 | + | 3.13362i | −0.325976 | + | 0.100100i | ||||
\(981\) | −14.3837 | − | 5.95794i | −0.459237 | − | 0.190222i | ||||
\(982\) | −5.88539 | − | 10.7996i | −0.187810 | − | 0.344629i | ||||
\(983\) | −10.9785 | − | 40.9724i | −0.350160 | − | 1.30682i | −0.886467 | − | 0.462792i | \(-0.846848\pi\) |
0.536307 | − | 0.844023i | \(-0.319819\pi\) | |||||||
\(984\) | 6.91666 | − | 1.31523i | 0.220495 | − | 0.0419279i | ||||
\(985\) | 11.9377 | + | 3.19870i | 0.380368 | + | 0.101919i | ||||
\(986\) | 26.0741 | + | 27.3912i | 0.830368 | + | 0.872314i | ||||
\(987\) | −32.8581 | + | 12.7425i | −1.04588 | + | 0.405598i | ||||
\(988\) | 22.9981 | + | 1.13380i | 0.731668 | + | 0.0360709i | ||||
\(989\) | −15.2359 | − | 11.6909i | −0.484473 | − | 0.371749i | ||||
\(990\) | 0.794176 | − | 5.06503i | 0.0252406 | − | 0.160977i | ||||
\(991\) | −34.1594 | − | 19.7219i | −1.08511 | − | 0.626487i | −0.152838 | − | 0.988251i | \(-0.548841\pi\) |
−0.932270 | + | 0.361764i | \(0.882175\pi\) | |||||||
\(992\) | −25.9288 | − | 25.5299i | −0.823240 | − | 0.810576i | ||||
\(993\) | 15.1518i | 0.480828i | ||||||||
\(994\) | −46.8596 | + | 3.92279i | −1.48630 | + | 0.124423i | ||||
\(995\) | 0.0423465 | + | 0.102233i | 0.00134247 | + | 0.00324102i | ||||
\(996\) | −0.0200847 | − | 0.0391182i | −0.000636408 | − | 0.00123951i | ||||
\(997\) | −35.6290 | + | 27.3391i | −1.12838 | + | 0.865839i | −0.992177 | − | 0.124842i | \(-0.960158\pi\) |
−0.136206 | + | 0.990681i | \(0.543491\pi\) | |||||||
\(998\) | −22.1212 | + | 5.34712i | −0.700236 | + | 0.169260i | ||||
\(999\) | 1.05100 | − | 3.92237i | 0.0332521 | − | 0.124098i |
(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 | 672.2.cf.a.619.17 | yes | 512 | |
7.5 | odd | 6 | inner | 672.2.cf.a.523.61 | yes | 512 | |
32.3 | odd | 8 | inner | 672.2.cf.a.451.61 | yes | 512 | |
224.131 | even | 24 | inner | 672.2.cf.a.355.17 | ✓ | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.cf.a.355.17 | ✓ | 512 | 224.131 | even | 24 | inner | |
672.2.cf.a.451.61 | yes | 512 | 32.3 | odd | 8 | inner | |
672.2.cf.a.523.61 | yes | 512 | 7.5 | odd | 6 | inner | |
672.2.cf.a.619.17 | yes | 512 | 1.1 | even | 1 | trivial |