Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.13 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.b.184.13 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.758057 | − | 1.97481i | 0.536027 | − | 1.39640i | −0.351736 | − | 0.936099i | \(-0.614409\pi\) |
0.887764 | − | 0.460300i | \(-0.152258\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | −1.83892 | − | 1.65577i | −0.919459 | − | 0.827885i | ||||
\(5\) | −3.65267 | − | 0.578526i | −1.63352 | − | 0.258725i | −0.728802 | − | 0.684725i | \(-0.759922\pi\) |
−0.904723 | + | 0.426000i | \(0.859922\pi\) | |||||||
\(6\) | 1.97481 | − | 0.758057i | 0.806211 | − | 0.309475i | ||||
\(7\) | −4.58954 | + | 0.240527i | −1.73468 | + | 0.0909108i | −0.893280 | − | 0.449500i | \(-0.851602\pi\) |
−0.841401 | + | 0.540411i | \(0.818269\pi\) | |||||||
\(8\) | −0.894330 | + | 0.455684i | −0.316194 | + | 0.161109i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −3.91141 | + | 6.77476i | −1.23690 | + | 2.14237i | ||||
\(11\) | −0.464139 | + | 3.28399i | −0.139943 | + | 0.990160i | ||||
\(12\) | − | 2.47451i | − | 0.714329i | ||||||
\(13\) | −2.70001 | − | 2.38955i | −0.748848 | − | 0.662741i | ||||
\(14\) | −3.00413 | + | 9.24578i | −0.802889 | + | 2.47104i | ||||
\(15\) | −2.01419 | − | 3.10157i | −0.520061 | − | 0.800823i | ||||
\(16\) | −0.295379 | − | 2.81034i | −0.0738447 | − | 0.702586i | ||||
\(17\) | 1.93056 | + | 0.859542i | 0.468230 | + | 0.208470i | 0.627269 | − | 0.778803i | \(-0.284173\pi\) |
−0.159038 | + | 0.987272i | \(0.550839\pi\) | |||||||
\(18\) | 1.88475 | + | 0.960328i | 0.444240 | + | 0.226351i | ||||
\(19\) | 0.773313 | − | 1.19080i | 0.177410 | − | 0.273188i | −0.738767 | − | 0.673961i | \(-0.764592\pi\) |
0.916177 | + | 0.400773i | \(0.131258\pi\) | |||||||
\(20\) | 5.75906 | + | 7.11185i | 1.28777 | + | 1.59026i | ||||
\(21\) | −3.24975 | − | 3.24975i | −0.709153 | − | 0.709153i | ||||
\(22\) | 6.13339 | + | 3.40604i | 1.30764 | + | 0.726169i | ||||
\(23\) | −2.31240 | − | 1.33506i | −0.482168 | − | 0.278380i | 0.239151 | − | 0.970982i | \(-0.423131\pi\) |
−0.721320 | + | 0.692602i | \(0.756464\pi\) | |||||||
\(24\) | −0.937063 | − | 0.359705i | −0.191277 | − | 0.0734244i | ||||
\(25\) | 8.25204 | + | 2.68125i | 1.65041 | + | 0.536250i | ||||
\(26\) | −6.76566 | + | 3.52059i | −1.32685 | + | 0.690444i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | 8.83804 | + | 7.15690i | 1.67023 | + | 1.35253i | ||||
\(29\) | −0.0467729 | + | 0.220049i | −0.00868551 | + | 0.0408621i | −0.982277 | − | 0.187435i | \(-0.939983\pi\) |
0.973591 | + | 0.228297i | \(0.0733158\pi\) | |||||||
\(30\) | −7.65188 | + | 1.62646i | −1.39703 | + | 0.296949i | ||||
\(31\) | −1.48182 | − | 9.35585i | −0.266143 | − | 1.68036i | −0.652326 | − | 0.757938i | \(-0.726207\pi\) |
0.386183 | − | 0.922422i | \(-0.373793\pi\) | |||||||
\(32\) | −7.71285 | − | 2.06665i | −1.36345 | − | 0.365336i | ||||
\(33\) | −2.75105 | + | 1.85249i | −0.478896 | + | 0.322478i | ||||
\(34\) | 3.16091 | − | 3.16091i | 0.542091 | − | 0.542091i | ||||
\(35\) | 16.9032 | + | 1.77660i | 2.85717 | + | 0.300300i | ||||
\(36\) | 1.83892 | − | 1.65577i | 0.306486 | − | 0.275962i | ||||
\(37\) | −5.83273 | + | 3.78782i | −0.958894 | + | 0.622713i | −0.926313 | − | 0.376756i | \(-0.877040\pi\) |
−0.0325818 | + | 0.999469i | \(0.510373\pi\) | |||||||
\(38\) | −1.76538 | − | 2.42983i | −0.286382 | − | 0.394171i | ||||
\(39\) | −0.0308806 | − | 3.60542i | −0.00494485 | − | 0.577329i | ||||
\(40\) | 3.53032 | − | 1.14707i | 0.558193 | − | 0.181368i | ||||
\(41\) | −5.48158 | − | 0.287278i | −0.856079 | − | 0.0448652i | −0.380755 | − | 0.924676i | \(-0.624336\pi\) |
−0.475324 | + | 0.879811i | \(0.657669\pi\) | |||||||
\(42\) | −8.88111 | + | 3.95412i | −1.37038 | + | 0.610135i | ||||
\(43\) | −4.46600 | − | 7.73534i | −0.681058 | − | 1.17963i | −0.974658 | − | 0.223699i | \(-0.928187\pi\) |
0.293600 | − | 0.955928i | \(-0.405147\pi\) | |||||||
\(44\) | 6.29104 | − | 5.27048i | 0.948410 | − | 0.794554i | ||||
\(45\) | 0.957165 | − | 3.57219i | 0.142686 | − | 0.532511i | ||||
\(46\) | −4.38942 | + | 3.55448i | −0.647185 | + | 0.524080i | ||||
\(47\) | −0.672563 | − | 1.31998i | −0.0981034 | − | 0.192539i | 0.836739 | − | 0.547602i | \(-0.184459\pi\) |
−0.934842 | + | 0.355063i | \(0.884459\pi\) | |||||||
\(48\) | 1.89084 | − | 2.10000i | 0.272920 | − | 0.303108i | ||||
\(49\) | 14.0443 | − | 1.47612i | 2.00633 | − | 0.210874i | ||||
\(50\) | 11.5505 | − | 14.2636i | 1.63348 | − | 2.01718i | ||||
\(51\) | 0.653035 | + | 2.00983i | 0.0914432 | + | 0.281433i | ||||
\(52\) | 1.00856 | + | 8.86478i | 0.139862 | + | 1.22932i | ||||
\(53\) | 3.80017 | + | 2.76098i | 0.521993 | + | 0.379250i | 0.817354 | − | 0.576135i | \(-0.195440\pi\) |
−0.295361 | + | 0.955386i | \(0.595440\pi\) | |||||||
\(54\) | 0.547481 | + | 2.04323i | 0.0745027 | + | 0.278048i | ||||
\(55\) | 3.59522 | − | 11.7268i | 0.484780 | − | 1.58124i | ||||
\(56\) | 3.99496 | − | 2.30649i | 0.533849 | − | 0.308218i | ||||
\(57\) | 1.40238 | − | 0.222115i | 0.185750 | − | 0.0294199i | ||||
\(58\) | 0.399098 | + | 0.259177i | 0.0524041 | + | 0.0340317i | ||||
\(59\) | 0.466352 | + | 8.89853i | 0.0607139 | + | 1.15849i | 0.843829 | + | 0.536613i | \(0.180296\pi\) |
−0.783115 | + | 0.621877i | \(0.786370\pi\) | |||||||
\(60\) | −1.43157 | + | 9.03857i | −0.184815 | + | 1.16687i | ||||
\(61\) | −2.88048 | + | 6.46965i | −0.368807 | + | 0.828354i | 0.629858 | + | 0.776710i | \(0.283113\pi\) |
−0.998666 | + | 0.0516444i | \(0.983554\pi\) | |||||||
\(62\) | −19.5993 | − | 4.16596i | −2.48911 | − | 0.529077i | ||||
\(63\) | 0.240527 | − | 4.58954i | 0.0303036 | − | 0.578227i | ||||
\(64\) | −6.60607 | + | 9.09247i | −0.825759 | + | 1.13656i | ||||
\(65\) | 8.47984 | + | 10.2903i | 1.05179 | + | 1.27635i | ||||
\(66\) | 1.57286 | + | 6.83708i | 0.193606 | + | 0.841587i | ||||
\(67\) | 6.95204 | − | 1.86279i | 0.849327 | − | 0.227576i | 0.192199 | − | 0.981356i | \(-0.438438\pi\) |
0.657127 | + | 0.753780i | \(0.271771\pi\) | |||||||
\(68\) | −2.12695 | − | 4.77720i | −0.257930 | − | 0.579320i | ||||
\(69\) | −0.555151 | − | 2.61178i | −0.0668323 | − | 0.314421i | ||||
\(70\) | 16.3220 | − | 32.0338i | 1.95086 | − | 3.82877i | ||||
\(71\) | 4.11267 | + | 10.7139i | 0.488084 | + | 1.27150i | 0.927703 | + | 0.373318i | \(0.121780\pi\) |
−0.439619 | + | 0.898184i | \(0.644887\pi\) | |||||||
\(72\) | −0.359705 | − | 0.937063i | −0.0423916 | − | 0.110434i | ||||
\(73\) | 4.97704 | − | 9.76798i | 0.582518 | − | 1.14326i | −0.392213 | − | 0.919874i | \(-0.628290\pi\) |
0.974731 | − | 0.223382i | \(-0.0717096\pi\) | |||||||
\(74\) | 3.05866 | + | 14.3899i | 0.355563 | + | 1.67279i | ||||
\(75\) | 3.52914 | + | 7.92657i | 0.407509 | + | 0.915281i | ||||
\(76\) | −3.39375 | + | 0.909351i | −0.389289 | + | 0.104310i | ||||
\(77\) | 1.34030 | − | 15.1836i | 0.152741 | − | 1.73033i | ||||
\(78\) | −7.14341 | − | 2.67213i | −0.808832 | − | 0.302559i | ||||
\(79\) | 5.22387 | − | 7.19004i | 0.587731 | − | 0.808943i | −0.406785 | − | 0.913524i | \(-0.633350\pi\) |
0.994516 | + | 0.104581i | \(0.0333502\pi\) | |||||||
\(80\) | −0.546935 | + | 10.4361i | −0.0611492 | + | 1.16680i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −4.72267 | + | 10.6073i | −0.521532 | + | 1.17138i | ||||
\(83\) | 1.30869 | − | 8.26274i | 0.143647 | − | 0.906954i | −0.805608 | − | 0.592448i | \(-0.798161\pi\) |
0.949256 | − | 0.314505i | \(-0.101839\pi\) | |||||||
\(84\) | 0.595187 | + | 11.3568i | 0.0649402 | + | 1.23913i | ||||
\(85\) | −6.55445 | − | 4.25651i | −0.710930 | − | 0.461683i | ||||
\(86\) | −18.6613 | + | 2.95565i | −2.01230 | + | 0.318716i | ||||
\(87\) | −0.194826 | + | 0.112483i | −0.0208875 | + | 0.0120594i | ||||
\(88\) | −1.08137 | − | 3.14847i | −0.115274 | − | 0.335628i | ||||
\(89\) | 0.102003 | + | 0.380681i | 0.0108123 | + | 0.0403521i | 0.971121 | − | 0.238587i | \(-0.0766841\pi\) |
−0.960309 | + | 0.278939i | \(0.910017\pi\) | |||||||
\(90\) | −6.32880 | − | 4.59814i | −0.667114 | − | 0.484686i | ||||
\(91\) | 12.9666 | + | 10.3175i | 1.35926 | + | 1.08157i | ||||
\(92\) | 2.04175 | + | 6.28387i | 0.212868 | + | 0.655139i | ||||
\(93\) | 5.96122 | − | 7.36149i | 0.618150 | − | 0.763351i | ||||
\(94\) | −3.11654 | + | 0.327562i | −0.321447 | + | 0.0337854i | ||||
\(95\) | −3.51357 | + | 3.90221i | −0.360484 | + | 0.400358i | ||||
\(96\) | −3.62508 | − | 7.11463i | −0.369984 | − | 0.726134i | ||||
\(97\) | −5.69927 | + | 4.61518i | −0.578673 | + | 0.468600i | −0.873415 | − | 0.486977i | \(-0.838100\pi\) |
0.294742 | + | 0.955577i | \(0.404766\pi\) | |||||||
\(98\) | 7.73136 | − | 28.8538i | 0.780985 | − | 2.91468i | ||||
\(99\) | −3.21748 | − | 0.804867i | −0.323369 | − | 0.0808922i | ||||
\(100\) | −10.7353 | − | 18.5941i | −1.07353 | − | 1.85941i | ||||
\(101\) | −0.514439 | + | 0.229043i | −0.0511886 | + | 0.0227906i | −0.432171 | − | 0.901792i | \(-0.642252\pi\) |
0.380983 | + | 0.924582i | \(0.375586\pi\) | |||||||
\(102\) | 4.46407 | + | 0.233952i | 0.442009 | + | 0.0231647i | ||||
\(103\) | −16.0215 | + | 5.20570i | −1.57864 | + | 0.512933i | −0.961707 | − | 0.274079i | \(-0.911627\pi\) |
−0.616938 | + | 0.787012i | \(0.711627\pi\) | |||||||
\(104\) | 3.50358 | + | 0.906693i | 0.343554 | + | 0.0889085i | ||||
\(105\) | 9.99019 | + | 13.7503i | 0.974943 | + | 1.34189i | ||||
\(106\) | 8.33315 | − | 5.41161i | 0.809387 | − | 0.525622i | ||||
\(107\) | 0.517299 | − | 0.465778i | 0.0500092 | − | 0.0450285i | −0.643747 | − | 0.765238i | \(-0.722621\pi\) |
0.693756 | + | 0.720210i | \(0.255954\pi\) | |||||||
\(108\) | 2.46095 | + | 0.258657i | 0.236805 | + | 0.0248892i | ||||
\(109\) | −7.69746 | + | 7.69746i | −0.737283 | + | 0.737283i | −0.972051 | − | 0.234768i | \(-0.924567\pi\) |
0.234768 | + | 0.972051i | \(0.424567\pi\) | |||||||
\(110\) | −20.4328 | − | 15.9895i | −1.94819 | − | 1.52454i | ||||
\(111\) | −6.71775 | − | 1.80002i | −0.637621 | − | 0.170850i | ||||
\(112\) | 2.03162 | + | 12.8271i | 0.191970 | + | 1.21205i | ||||
\(113\) | 0.720341 | − | 0.153113i | 0.0677640 | − | 0.0144037i | −0.173905 | − | 0.984762i | \(-0.555639\pi\) |
0.241669 | + | 0.970359i | \(0.422305\pi\) | |||||||
\(114\) | 0.624450 | − | 2.93781i | 0.0584851 | − | 0.275151i | ||||
\(115\) | 7.67406 | + | 6.21433i | 0.715610 | + | 0.579490i | ||||
\(116\) | 0.450363 | − | 0.327208i | 0.0418151 | − | 0.0303805i | ||||
\(117\) | 2.65869 | − | 2.43544i | 0.245796 | − | 0.225157i | ||||
\(118\) | 17.9264 | + | 5.82464i | 1.65026 | + | 0.536201i | ||||
\(119\) | −9.06714 | − | 3.48055i | −0.831183 | − | 0.319061i | ||||
\(120\) | 3.21469 | + | 1.85600i | 0.293459 | + | 0.169429i | ||||
\(121\) | −10.5691 | − | 3.04846i | −0.960832 | − | 0.277132i | ||||
\(122\) | 10.5927 | + | 10.5927i | 0.959022 | + | 0.959022i | ||||
\(123\) | −3.45441 | − | 4.26584i | −0.311473 | − | 0.384637i | ||||
\(124\) | −12.7662 | + | 19.6582i | −1.14644 | + | 1.76536i | ||||
\(125\) | −12.1152 | − | 6.17301i | −1.08362 | − | 0.552130i | ||||
\(126\) | −8.88111 | − | 3.95412i | −0.791192 | − | 0.352261i | ||||
\(127\) | 0.689760 | + | 6.56263i | 0.0612063 | + | 0.582339i | 0.981547 | + | 0.191221i | \(0.0612449\pi\) |
−0.920341 | + | 0.391118i | \(0.872088\pi\) | |||||||
\(128\) | 4.25028 | + | 6.54486i | 0.375675 | + | 0.578489i | ||||
\(129\) | 2.76014 | − | 8.49483i | 0.243017 | − | 0.747928i | ||||
\(130\) | 26.7495 | − | 8.94544i | 2.34608 | − | 0.784567i | ||||
\(131\) | − | 7.73314i | − | 0.675648i | −0.941209 | − | 0.337824i | \(-0.890309\pi\) | ||
0.941209 | − | 0.337824i | \(-0.109691\pi\) | |||||||
\(132\) | 8.12626 | + | 1.14852i | 0.707300 | + | 0.0999656i | ||||
\(133\) | −3.26273 | + | 5.65121i | −0.282914 | + | 0.490022i | ||||
\(134\) | 1.59139 | − | 15.1410i | 0.137475 | − | 1.30799i | ||||
\(135\) | 3.29512 | − | 1.67895i | 0.283599 | − | 0.144501i | ||||
\(136\) | −2.11824 | + | 0.111012i | −0.181638 | + | 0.00951923i | ||||
\(137\) | −16.8802 | + | 6.47971i | −1.44218 | + | 0.553599i | −0.948705 | − | 0.316163i | \(-0.897605\pi\) |
−0.493471 | + | 0.869762i | \(0.664272\pi\) | |||||||
\(138\) | −5.57859 | − | 0.883562i | −0.474881 | − | 0.0752138i | ||||
\(139\) | −11.7462 | − | 10.5763i | −0.996299 | − | 0.897072i | −0.00161033 | − | 0.999999i | \(-0.500513\pi\) |
−0.994689 | + | 0.102927i | \(0.967179\pi\) | |||||||
\(140\) | −28.1420 | − | 31.2549i | −2.37843 | − | 2.64152i | ||||
\(141\) | 0.530903 | − | 1.38305i | 0.0447101 | − | 0.116474i | ||||
\(142\) | 24.2754 | 2.03715 | ||||||||
\(143\) | 9.10043 | − | 7.75772i | 0.761016 | − | 0.648733i | ||||
\(144\) | 2.82582 | 0.235485 | ||||||||
\(145\) | 0.298150 | − | 0.776709i | 0.0247600 | − | 0.0645021i | ||||
\(146\) | −15.5170 | − | 17.2334i | −1.28420 | − | 1.42624i | ||||
\(147\) | 10.4945 | + | 9.44926i | 0.865569 | + | 0.779362i | ||||
\(148\) | 16.9977 | + | 2.69217i | 1.39720 | + | 0.221295i | ||||
\(149\) | 5.73566 | − | 2.20172i | 0.469884 | − | 0.180372i | −0.111892 | − | 0.993720i | \(-0.535691\pi\) |
0.581776 | + | 0.813349i | \(0.302358\pi\) | |||||||
\(150\) | 18.3287 | − | 0.960567i | 1.49653 | − | 0.0784300i | ||||
\(151\) | 14.7200 | − | 7.50023i | 1.19790 | − | 0.610360i | 0.262836 | − | 0.964841i | \(-0.415342\pi\) |
0.935063 | + | 0.354481i | \(0.115342\pi\) | |||||||
\(152\) | −0.148970 | + | 1.41735i | −0.0120830 | + | 0.114962i | ||||
\(153\) | −1.05663 | + | 1.83014i | −0.0854237 | + | 0.147958i | ||||
\(154\) | −28.9687 | − | 14.1569i | −2.33436 | − | 1.14079i | ||||
\(155\) | 35.0311i | 2.81377i | ||||||||
\(156\) | −5.91296 | + | 6.68120i | −0.473415 | + | 0.534924i | ||||
\(157\) | 0.622270 | − | 1.91515i | 0.0496625 | − | 0.152846i | −0.923150 | − | 0.384440i | \(-0.874394\pi\) |
0.972812 | + | 0.231595i | \(0.0743944\pi\) | |||||||
\(158\) | −10.2389 | − | 15.7666i | −0.814567 | − | 1.25432i | ||||
\(159\) | 0.490998 | + | 4.67153i | 0.0389387 | + | 0.370477i | ||||
\(160\) | 26.9769 | + | 12.0109i | 2.13271 | + | 0.949545i | ||||
\(161\) | 10.9340 | + | 5.57113i | 0.861716 | + | 0.439066i | ||||
\(162\) | −1.15208 | + | 1.77404i | −0.0905157 | + | 0.139382i | ||||
\(163\) | −8.37496 | − | 10.3422i | −0.655977 | − | 0.810064i | 0.335265 | − | 0.942124i | \(-0.391174\pi\) |
−0.991242 | + | 0.132060i | \(0.957841\pi\) | |||||||
\(164\) | 9.60452 | + | 9.60452i | 0.749987 | + | 0.749987i | ||||
\(165\) | 11.1204 | − | 5.17500i | 0.865722 | − | 0.402873i | ||||
\(166\) | −15.3252 | − | 8.84804i | −1.18947 | − | 0.686741i | ||||
\(167\) | −19.4340 | − | 7.46003i | −1.50385 | − | 0.577275i | −0.539520 | − | 0.841973i | \(-0.681394\pi\) |
−0.964331 | + | 0.264698i | \(0.914728\pi\) | |||||||
\(168\) | 4.38720 | + | 1.42549i | 0.338480 | + | 0.109979i | ||||
\(169\) | 1.58013 | + | 12.9036i | 0.121548 | + | 0.992586i | ||||
\(170\) | −13.3744 | + | 9.71709i | −1.02577 | + | 0.745267i | ||||
\(171\) | 1.10344 | + | 0.893549i | 0.0843822 | + | 0.0683314i | ||||
\(172\) | −4.59533 | + | 21.6193i | −0.350391 | + | 1.64846i | ||||
\(173\) | −2.30387 | + | 0.489702i | −0.175160 | + | 0.0372314i | −0.294657 | − | 0.955603i | \(-0.595205\pi\) |
0.119497 | + | 0.992835i | \(0.461872\pi\) | |||||||
\(174\) | 0.0744425 | + | 0.470011i | 0.00564347 | + | 0.0356315i | ||||
\(175\) | −38.5179 | − | 10.3209i | −2.91168 | − | 0.780183i | ||||
\(176\) | 9.36623 | + | 0.334370i | 0.706006 | + | 0.0252041i | ||||
\(177\) | −6.30085 | + | 6.30085i | −0.473601 | + | 0.473601i | ||||
\(178\) | 0.829096 | + | 0.0871415i | 0.0621434 | + | 0.00653153i | ||||
\(179\) | 7.86648 | − | 7.08301i | 0.587969 | − | 0.529409i | −0.320562 | − | 0.947228i | \(-0.603872\pi\) |
0.908531 | + | 0.417818i | \(0.137205\pi\) | |||||||
\(180\) | −7.67487 | + | 4.98412i | −0.572051 | + | 0.371494i | ||||
\(181\) | 11.1456 | + | 15.3406i | 0.828448 | + | 1.14026i | 0.988210 | + | 0.153105i | \(0.0489273\pi\) |
−0.159762 | + | 0.987156i | \(0.551073\pi\) | |||||||
\(182\) | 30.2044 | − | 17.7852i | 2.23890 | − | 1.31833i | ||||
\(183\) | −6.73530 | + | 2.18843i | −0.497888 | + | 0.161774i | ||||
\(184\) | 2.67642 | + | 0.140265i | 0.197308 | + | 0.0103405i | ||||
\(185\) | 23.4964 | − | 10.4613i | 1.72749 | − | 0.769128i | ||||
\(186\) | −10.0186 | − | 17.3527i | −0.734598 | − | 1.27236i | ||||
\(187\) | −3.71878 | + | 5.94100i | −0.271944 | + | 0.434449i | ||||
\(188\) | −0.948793 | + | 3.54094i | −0.0691978 | + | 0.258250i | ||||
\(189\) | 3.57163 | − | 2.89225i | 0.259798 | − | 0.210380i | ||||
\(190\) | 5.04262 | + | 9.89671i | 0.365830 | + | 0.717983i | ||||
\(191\) | 3.07076 | − | 3.41043i | 0.222192 | − | 0.246770i | −0.621734 | − | 0.783228i | \(-0.713572\pi\) |
0.843927 | + | 0.536459i | \(0.180238\pi\) | |||||||
\(192\) | −11.1773 | + | 1.17479i | −0.806656 | + | 0.0847829i | ||||
\(193\) | 5.93840 | − | 7.33331i | 0.427455 | − | 0.527863i | −0.517228 | − | 0.855848i | \(-0.673036\pi\) |
0.944683 | + | 0.327984i | \(0.106369\pi\) | |||||||
\(194\) | 4.79371 | + | 14.7535i | 0.344168 | + | 1.05924i | ||||
\(195\) | −1.97303 | + | 13.1873i | −0.141292 | + | 0.944361i | ||||
\(196\) | −28.2705 | − | 20.5397i | −2.01932 | − | 1.46712i | ||||
\(197\) | 3.12974 | + | 11.6803i | 0.222984 | + | 0.832189i | 0.983202 | + | 0.182521i | \(0.0584257\pi\) |
−0.760218 | + | 0.649669i | \(0.774908\pi\) | |||||||
\(198\) | −4.02849 | + | 5.74377i | −0.286292 | + | 0.408192i | ||||
\(199\) | −6.46443 | + | 3.73224i | −0.458251 | + | 0.264571i | −0.711309 | − | 0.702880i | \(-0.751897\pi\) |
0.253058 | + | 0.967451i | \(0.418564\pi\) | |||||||
\(200\) | −8.60185 | + | 1.36240i | −0.608243 | + | 0.0963362i | ||||
\(201\) | 6.03615 | + | 3.91992i | 0.425757 | + | 0.276490i | ||||
\(202\) | 0.0623414 | + | 1.18955i | 0.00438633 | + | 0.0836961i | ||||
\(203\) | 0.161738 | − | 1.02117i | 0.0113518 | − | 0.0716724i | ||||
\(204\) | 2.12695 | − | 4.77720i | 0.148916 | − | 0.334471i | ||||
\(205\) | 19.8562 | + | 4.22057i | 1.38682 | + | 0.294777i | ||||
\(206\) | −1.86496 | + | 35.5856i | −0.129938 | + | 2.47936i | ||||
\(207\) | 1.56946 | − | 2.16018i | 0.109085 | − | 0.150143i | ||||
\(208\) | −5.91792 | + | 8.29378i | −0.410334 | + | 0.575070i | ||||
\(209\) | 3.55164 | + | 3.09225i | 0.245672 | + | 0.213895i | ||||
\(210\) | 34.7273 | − | 9.30517i | 2.39641 | − | 0.642117i | ||||
\(211\) | 3.22892 | + | 7.25227i | 0.222288 | + | 0.499267i | 0.989921 | − | 0.141623i | \(-0.0452321\pi\) |
−0.767633 | + | 0.640890i | \(0.778565\pi\) | |||||||
\(212\) | −2.41665 | − | 11.3694i | −0.165976 | − | 0.780856i | ||||
\(213\) | −5.21004 | + | 10.2253i | −0.356986 | + | 0.700625i | ||||
\(214\) | −0.527679 | − | 1.37465i | −0.0360714 | − | 0.0939692i | ||||
\(215\) | 11.8377 | + | 30.8384i | 0.807327 | + | 2.10316i | ||||
\(216\) | 0.455684 | − | 0.894330i | 0.0310054 | − | 0.0608515i | ||||
\(217\) | 9.05121 | + | 42.5826i | 0.614436 | + | 2.89069i | ||||
\(218\) | 9.36588 | + | 21.0361i | 0.634337 | + | 1.42474i | ||||
\(219\) | 10.5893 | − | 2.83740i | 0.715560 | − | 0.191734i | ||||
\(220\) | −26.0282 | + | 15.6118i | −1.75482 | + | 1.05255i | ||||
\(221\) | −3.15863 | − | 6.93395i | −0.212472 | − | 0.466428i | ||||
\(222\) | −8.64712 | + | 11.9017i | −0.580357 | + | 0.798793i | ||||
\(223\) | 1.08421 | − | 20.6880i | 0.0726042 | − | 1.38537i | −0.683036 | − | 0.730384i | \(-0.739341\pi\) |
0.755641 | − | 0.654986i | \(-0.227326\pi\) | |||||||
\(224\) | 35.8955 | + | 7.62983i | 2.39837 | + | 0.509789i | ||||
\(225\) | −3.52914 | + | 7.92657i | −0.235276 | + | 0.528438i | ||||
\(226\) | 0.243691 | − | 1.53860i | 0.0162101 | − | 0.102346i | ||||
\(227\) | 0.357263 | + | 6.81698i | 0.0237124 | + | 0.452459i | 0.984523 | + | 0.175254i | \(0.0560747\pi\) |
−0.960811 | + | 0.277205i | \(0.910592\pi\) | |||||||
\(228\) | −2.94664 | − | 1.91357i | −0.195146 | − | 0.126729i | ||||
\(229\) | −3.72500 | + | 0.589982i | −0.246155 | + | 0.0389871i | −0.278293 | − | 0.960496i | \(-0.589769\pi\) |
0.0321376 | + | 0.999483i | \(0.489769\pi\) | |||||||
\(230\) | 18.0895 | − | 10.4440i | 1.19279 | − | 0.688655i | ||||
\(231\) | 12.1805 | − | 9.16379i | 0.801415 | − | 0.602933i | ||||
\(232\) | −0.0584425 | − | 0.218110i | −0.00383694 | − | 0.0143197i | ||||
\(233\) | −3.83113 | − | 2.78348i | −0.250986 | − | 0.182352i | 0.455178 | − | 0.890401i | \(-0.349576\pi\) |
−0.706164 | + | 0.708049i | \(0.749576\pi\) | |||||||
\(234\) | −2.79410 | − | 7.09659i | −0.182656 | − | 0.463919i | ||||
\(235\) | 1.69301 | + | 5.21055i | 0.110440 | + | 0.339899i | ||||
\(236\) | 13.8763 | − | 17.1358i | 0.903272 | − | 1.11545i | ||||
\(237\) | 8.83869 | − | 0.928984i | 0.574135 | − | 0.0603440i | ||||
\(238\) | −13.7468 | + | 15.2674i | −0.891073 | + | 0.989637i | ||||
\(239\) | 2.02893 | + | 3.98199i | 0.131240 | + | 0.257574i | 0.947270 | − | 0.320436i | \(-0.103829\pi\) |
−0.816030 | + | 0.578010i | \(0.803829\pi\) | |||||||
\(240\) | −8.12154 | + | 6.57669i | −0.524243 | + | 0.424524i | ||||
\(241\) | 3.51320 | − | 13.1115i | 0.226305 | − | 0.844583i | −0.755572 | − | 0.655066i | \(-0.772641\pi\) |
0.981877 | − | 0.189517i | \(-0.0606923\pi\) | |||||||
\(242\) | −14.0321 | + | 18.5611i | −0.902019 | + | 1.19315i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 16.0092 | − | 7.12776i | 1.02489 | − | 0.456308i | ||||
\(245\) | −52.1533 | − | 2.73324i | −3.33195 | − | 0.174620i | ||||
\(246\) | −11.0428 | + | 3.58803i | −0.704065 | + | 0.228765i | ||||
\(247\) | −4.93342 | + | 1.36730i | −0.313906 | + | 0.0869991i | ||||
\(248\) | 5.58855 | + | 7.69198i | 0.354873 | + | 0.488441i | ||||
\(249\) | 7.01610 | − | 4.55631i | 0.444627 | − | 0.288744i | ||||
\(250\) | −21.3745 | + | 19.2457i | −1.35184 | + | 1.21720i | ||||
\(251\) | −21.8853 | − | 2.30024i | −1.38139 | − | 0.145190i | −0.615486 | − | 0.788148i | \(-0.711040\pi\) |
−0.765901 | + | 0.642959i | \(0.777707\pi\) | |||||||
\(252\) | −8.04152 | + | 8.04152i | −0.506568 | + | 0.506568i | ||||
\(253\) | 5.45761 | − | 6.97423i | 0.343117 | − | 0.438466i | ||||
\(254\) | 13.4828 | + | 3.61271i | 0.845986 | + | 0.226681i | ||||
\(255\) | −1.22258 | − | 7.71906i | −0.0765609 | − | 0.483387i | ||||
\(256\) | −5.83986 | + | 1.24130i | −0.364991 | + | 0.0775813i | ||||
\(257\) | 4.43310 | − | 20.8561i | 0.276529 | − | 1.30097i | −0.592245 | − | 0.805758i | \(-0.701758\pi\) |
0.868774 | − | 0.495209i | \(-0.164909\pi\) | |||||||
\(258\) | −14.6833 | − | 11.8903i | −0.914143 | − | 0.740258i | ||||
\(259\) | 25.8584 | − | 18.7873i | 1.60677 | − | 1.16738i | ||||
\(260\) | 1.44457 | − | 32.9636i | 0.0895882 | − | 2.04432i | ||||
\(261\) | −0.213955 | − | 0.0695181i | −0.0132435 | − | 0.00430306i | ||||
\(262\) | −15.2715 | − | 5.86216i | −0.943474 | − | 0.362166i | ||||
\(263\) | 18.2927 | + | 10.5613i | 1.12797 | + | 0.651237i | 0.943425 | − | 0.331587i | \(-0.107584\pi\) |
0.184550 | + | 0.982823i | \(0.440917\pi\) | |||||||
\(264\) | 1.61619 | − | 2.91035i | 0.0994699 | − | 0.179120i | ||||
\(265\) | −12.2835 | − | 12.2835i | −0.754567 | − | 0.754567i | ||||
\(266\) | 8.68671 | + | 10.7272i | 0.532616 | + | 0.657726i | ||||
\(267\) | −0.214648 | + | 0.330529i | −0.0131362 | + | 0.0202280i | ||||
\(268\) | −15.8686 | − | 8.08545i | −0.969328 | − | 0.493897i | ||||
\(269\) | 0.134044 | + | 0.0596803i | 0.00817281 | + | 0.00363877i | 0.410819 | − | 0.911717i | \(-0.365243\pi\) |
−0.402646 | + | 0.915356i | \(0.631909\pi\) | |||||||
\(270\) | −0.817708 | − | 7.77997i | −0.0497641 | − | 0.473474i | ||||
\(271\) | −8.64278 | − | 13.3087i | −0.525011 | − | 0.808447i | 0.472322 | − | 0.881426i | \(-0.343416\pi\) |
−0.997333 | + | 0.0729793i | \(0.976749\pi\) | |||||||
\(272\) | 1.84536 | − | 5.67944i | 0.111891 | − | 0.344366i | ||||
\(273\) | 1.00893 | + | 16.5398i | 0.0610632 | + | 1.00103i | ||||
\(274\) | 38.2472i | 2.31060i | ||||||||
\(275\) | −12.6353 | + | 25.8551i | −0.761937 | + | 1.55912i | ||||
\(276\) | −3.30363 | + | 5.72205i | −0.198855 | + | 0.344427i | ||||
\(277\) | −1.26865 | + | 12.0704i | −0.0762256 | + | 0.725238i | 0.887944 | + | 0.459952i | \(0.152133\pi\) |
−0.964170 | + | 0.265287i | \(0.914533\pi\) | |||||||
\(278\) | −29.7905 | + | 15.1790i | −1.78671 | + | 0.910376i | ||||
\(279\) | 9.45949 | − | 0.495751i | 0.566325 | − | 0.0296798i | ||||
\(280\) | −15.9266 | + | 6.11366i | −0.951799 | + | 0.365361i | ||||
\(281\) | −3.49643 | − | 0.553780i | −0.208579 | − | 0.0330357i | 0.0512702 | − | 0.998685i | \(-0.483673\pi\) |
−0.259850 | + | 0.965649i | \(0.583673\pi\) | |||||||
\(282\) | −2.32880 | − | 2.09686i | −0.138678 | − | 0.124866i | ||||
\(283\) | −12.5327 | − | 13.9190i | −0.744993 | − | 0.827398i | 0.244851 | − | 0.969561i | \(-0.421261\pi\) |
−0.989843 | + | 0.142163i | \(0.954594\pi\) | |||||||
\(284\) | 10.1768 | − | 26.5116i | 0.603884 | − | 1.57317i | ||||
\(285\) | −5.25094 | −0.311039 | ||||||||
\(286\) | −8.42135 | − | 23.8524i | −0.497965 | − | 1.41042i | ||||
\(287\) | 25.2270 | 1.48910 | ||||||||
\(288\) | 2.86154 | − | 7.45458i | 0.168618 | − | 0.439265i | ||||
\(289\) | −8.38696 | − | 9.31466i | −0.493350 | − | 0.547921i | ||||
\(290\) | −1.30783 | − | 1.17758i | −0.0767986 | − | 0.0691498i | ||||
\(291\) | −7.24330 | − | 1.14723i | −0.424610 | − | 0.0672516i | ||||
\(292\) | −25.3259 | + | 9.72170i | −1.48209 | + | 0.568920i | ||||
\(293\) | 31.8895 | − | 1.67126i | 1.86300 | − | 0.0976358i | 0.912637 | − | 0.408771i | \(-0.134042\pi\) |
0.950366 | + | 0.311135i | \(0.100709\pi\) | |||||||
\(294\) | 26.6159 | − | 13.5615i | 1.55227 | − | 0.790920i | ||||
\(295\) | 3.44460 | − | 32.7732i | 0.200553 | − | 1.90813i | ||||
\(296\) | 3.49034 | − | 6.04544i | 0.202872 | − | 0.351384i | ||||
\(297\) | −1.55478 | − | 2.92962i | −0.0902177 | − | 0.169994i | ||||
\(298\) | − | 12.9958i | − | 0.752829i | ||||||
\(299\) | 3.05330 | + | 9.13027i | 0.176577 | + | 0.528017i | ||||
\(300\) | 6.63478 | − | 20.4197i | 0.383059 | − | 1.17893i | ||||
\(301\) | 22.3574 | + | 34.4274i | 1.28866 | + | 1.98436i | ||||
\(302\) | −3.65288 | − | 34.7548i | −0.210199 | − | 1.99991i | ||||
\(303\) | −0.514439 | − | 0.229043i | −0.0295538 | − | 0.0131582i | ||||
\(304\) | −3.57497 | − | 1.82154i | −0.205039 | − | 0.104472i | ||||
\(305\) | 14.2643 | − | 21.9651i | 0.816771 | − | 1.25772i | ||||
\(306\) | 2.81319 | + | 3.47400i | 0.160819 | + | 0.198595i | ||||
\(307\) | −16.7875 | − | 16.7875i | −0.958113 | − | 0.958113i | 0.0410446 | − | 0.999157i | \(-0.486931\pi\) |
−0.999157 | + | 0.0410446i | \(0.986931\pi\) | |||||||
\(308\) | −27.6053 | + | 25.7022i | −1.57296 | + | 1.46452i | ||||
\(309\) | −14.5891 | − | 8.42300i | −0.829943 | − | 0.479168i | ||||
\(310\) | 69.1797 | + | 26.5556i | 3.92914 | + | 1.50826i | ||||
\(311\) | 3.26632 | + | 1.06129i | 0.185216 | + | 0.0601804i | 0.400157 | − | 0.916447i | \(-0.368956\pi\) |
−0.214940 | + | 0.976627i | \(0.568956\pi\) | |||||||
\(312\) | 1.67055 | + | 3.21036i | 0.0945763 | + | 0.181751i | ||||
\(313\) | 3.75834 | − | 2.73060i | 0.212434 | − | 0.154342i | −0.476480 | − | 0.879185i | \(-0.658088\pi\) |
0.688914 | + | 0.724843i | \(0.258088\pi\) | |||||||
\(314\) | −3.31033 | − | 2.68065i | −0.186813 | − | 0.151278i | ||||
\(315\) | −3.53374 | + | 16.6249i | −0.199103 | + | 0.936708i | ||||
\(316\) | −21.5113 | + | 4.57237i | −1.21011 | + | 0.257216i | ||||
\(317\) | −0.705372 | − | 4.45355i | −0.0396177 | − | 0.250136i | 0.959929 | − | 0.280243i | \(-0.0904151\pi\) |
−0.999547 | + | 0.0301072i | \(0.990415\pi\) | |||||||
\(318\) | 9.59758 | + | 2.57166i | 0.538205 | + | 0.144212i | ||||
\(319\) | −0.700930 | − | 0.255735i | −0.0392445 | − | 0.0143184i | ||||
\(320\) | 29.3900 | − | 29.3900i | 1.64295 | − | 1.64295i | ||||
\(321\) | 0.692281 | + | 0.0727617i | 0.0386394 | + | 0.00406116i | ||||
\(322\) | 19.2905 | − | 17.3692i | 1.07502 | − | 0.967948i | ||||
\(323\) | 2.51647 | − | 1.63421i | 0.140020 | − | 0.0909301i | ||||
\(324\) | 1.45448 | + | 2.00192i | 0.0808044 | + | 0.111218i | ||||
\(325\) | −15.8736 | − | 26.9580i | −0.880511 | − | 1.49536i | ||||
\(326\) | −26.7725 | + | 8.69893i | −1.48279 | + | 0.481789i | ||||
\(327\) | −10.8709 | − | 0.569721i | −0.601164 | − | 0.0315057i | ||||
\(328\) | 5.03325 | − | 2.24095i | 0.277915 | − | 0.123736i | ||||
\(329\) | 3.40424 | + | 5.89632i | 0.187682 | + | 0.325075i | ||||
\(330\) | −1.78973 | − | 25.8836i | −0.0985211 | − | 1.42484i | ||||
\(331\) | −6.11026 | + | 22.8038i | −0.335850 | + | 1.25341i | 0.567094 | + | 0.823653i | \(0.308067\pi\) |
−0.902945 | + | 0.429757i | \(0.858599\pi\) | |||||||
\(332\) | −16.0878 | + | 13.0276i | −0.882931 | + | 0.714983i | ||||
\(333\) | −3.15738 | − | 6.19671i | −0.173023 | − | 0.339578i | ||||
\(334\) | −29.4642 | + | 32.7233i | −1.61221 | + | 1.79054i | ||||
\(335\) | −26.4712 | + | 2.78223i | −1.44628 | + | 0.152010i | ||||
\(336\) | −8.17299 | + | 10.0928i | −0.445873 | + | 0.550608i | ||||
\(337\) | −1.98932 | − | 6.12251i | −0.108365 | − | 0.333514i | 0.882140 | − | 0.470987i | \(-0.156102\pi\) |
−0.990506 | + | 0.137473i | \(0.956102\pi\) | |||||||
\(338\) | 26.6800 | + | 6.66123i | 1.45120 | + | 0.362323i | ||||
\(339\) | 0.595787 | + | 0.432865i | 0.0323587 | + | 0.0235100i | ||||
\(340\) | 5.00530 | + | 18.6800i | 0.271450 | + | 1.01307i | ||||
\(341\) | 31.4123 | − | 0.523863i | 1.70107 | − | 0.0283688i | ||||
\(342\) | 2.60106 | − | 1.50172i | 0.140649 | − | 0.0812037i | ||||
\(343\) | −32.3272 | + | 5.12012i | −1.74550 | + | 0.276460i | ||||
\(344\) | 7.51895 | + | 4.88286i | 0.405395 | + | 0.263266i | ||||
\(345\) | 0.516801 | + | 9.86114i | 0.0278236 | + | 0.530906i | ||||
\(346\) | −0.779396 | + | 4.92091i | −0.0419006 | + | 0.264550i | ||||
\(347\) | −6.75606 | + | 15.1744i | −0.362684 | + | 0.814602i | 0.636381 | + | 0.771375i | \(0.280431\pi\) |
−0.999065 | + | 0.0432272i | \(0.986236\pi\) | |||||||
\(348\) | 0.544514 | + | 0.115740i | 0.0291890 | + | 0.00620432i | ||||
\(349\) | 1.87897 | − | 35.8528i | 0.100579 | − | 1.91916i | −0.226240 | − | 0.974072i | \(-0.572643\pi\) |
0.326819 | − | 0.945087i | \(-0.394023\pi\) | |||||||
\(350\) | −49.5805 | + | 68.2417i | −2.65019 | + | 3.64767i | ||||
\(351\) | 3.58890 | + | 0.346158i | 0.191561 | + | 0.0184765i | ||||
\(352\) | 10.3667 | − | 24.3697i | 0.552547 | − | 1.29891i | ||||
\(353\) | −20.3210 | + | 5.44500i | −1.08158 | + | 0.289808i | −0.755242 | − | 0.655446i | \(-0.772481\pi\) |
−0.326336 | + | 0.945254i | \(0.605814\pi\) | |||||||
\(354\) | 7.66655 | + | 17.2194i | 0.407472 | + | 0.915198i | ||||
\(355\) | −8.82398 | − | 41.5135i | −0.468328 | − | 2.20331i | ||||
\(356\) | 0.442745 | − | 0.868936i | 0.0234654 | − | 0.0460535i | ||||
\(357\) | −3.48055 | − | 9.06714i | −0.184210 | − | 0.479884i | ||||
\(358\) | −8.02434 | − | 20.9041i | −0.424099 | − | 1.10482i | ||||
\(359\) | 8.72949 | − | 17.1326i | 0.460725 | − | 0.904223i | −0.537419 | − | 0.843316i | \(-0.680600\pi\) |
0.998143 | − | 0.0609077i | \(-0.0193995\pi\) | |||||||
\(360\) | 0.771768 | + | 3.63088i | 0.0406758 | + | 0.191364i | ||||
\(361\) | 6.90801 | + | 15.5156i | 0.363580 | + | 0.816613i | ||||
\(362\) | 38.7438 | − | 10.3814i | 2.03633 | − | 0.545633i | ||||
\(363\) | −4.80670 | − | 9.89422i | −0.252286 | − | 0.519312i | ||||
\(364\) | −6.76105 | − | 40.4426i | −0.354375 | − | 2.11977i | ||||
\(365\) | −23.8305 | + | 32.7999i | −1.24735 | + | 1.71683i | ||||
\(366\) | −0.784014 | + | 14.9599i | −0.0409811 | + | 0.781965i | ||||
\(367\) | −34.5988 | − | 7.35419i | −1.80604 | − | 0.383886i | −0.823113 | − | 0.567878i | \(-0.807765\pi\) |
−0.982928 | + | 0.183992i | \(0.941098\pi\) | |||||||
\(368\) | −3.06895 | + | 6.89298i | −0.159980 | + | 0.359322i | ||||
\(369\) | 0.858685 | − | 5.42152i | 0.0447014 | − | 0.282233i | ||||
\(370\) | −2.84737 | − | 54.3311i | −0.148028 | − | 2.82454i | ||||
\(371\) | −18.1051 | − | 11.7576i | −0.939970 | − | 0.610424i | ||||
\(372\) | −23.1511 | + | 3.66678i | −1.20033 | + | 0.190114i | ||||
\(373\) | 4.01438 | − | 2.31770i | 0.207857 | − | 0.120006i | −0.392458 | − | 0.919770i | \(-0.628375\pi\) |
0.600315 | + | 0.799764i | \(0.295042\pi\) | |||||||
\(374\) | 8.91328 | + | 11.8475i | 0.460895 | + | 0.612619i | ||||
\(375\) | −3.51922 | − | 13.1339i | −0.181732 | − | 0.678232i | ||||
\(376\) | 1.20299 | + | 0.874021i | 0.0620393 | + | 0.0450742i | ||||
\(377\) | 0.652106 | − | 0.482370i | 0.0335851 | − | 0.0248433i | ||||
\(378\) | −3.00413 | − | 9.24578i | −0.154516 | − | 0.475551i | ||||
\(379\) | −2.85826 | + | 3.52965i | −0.146819 | + | 0.181306i | −0.845250 | − | 0.534371i | \(-0.820548\pi\) |
0.698431 | + | 0.715677i | \(0.253882\pi\) | |||||||
\(380\) | 12.9223 | − | 1.35819i | 0.662901 | − | 0.0696737i | ||||
\(381\) | −4.41545 | + | 4.90385i | −0.226210 | + | 0.251232i | ||||
\(382\) | −4.40712 | − | 8.64945i | −0.225488 | − | 0.442545i | ||||
\(383\) | −4.87901 | + | 3.95094i | −0.249306 | + | 0.201884i | −0.745825 | − | 0.666142i | \(-0.767945\pi\) |
0.496519 | + | 0.868026i | \(0.334611\pi\) | |||||||
\(384\) | −2.01978 | + | 7.53794i | −0.103072 | + | 0.384669i | ||||
\(385\) | −13.6798 | + | 54.6854i | −0.697186 | + | 2.78703i | ||||
\(386\) | −9.98022 | − | 17.2863i | −0.507980 | − | 0.879847i | ||||
\(387\) | 8.15979 | − | 3.63297i | 0.414785 | − | 0.184674i | ||||
\(388\) | 18.1222 | + | 0.949742i | 0.920013 | + | 0.0482158i | ||||
\(389\) | −2.22924 | + | 0.724322i | −0.113027 | + | 0.0367246i | −0.364984 | − | 0.931014i | \(-0.618926\pi\) |
0.251958 | + | 0.967738i | \(0.418926\pi\) | |||||||
\(390\) | 24.5466 | + | 13.8931i | 1.24297 | + | 0.703503i | ||||
\(391\) | −3.31669 | − | 4.56503i | −0.167732 | − | 0.230863i | ||||
\(392\) | −11.8876 | + | 7.71992i | −0.600416 | + | 0.389915i | ||||
\(393\) | 5.74685 | − | 5.17448i | 0.289890 | − | 0.261018i | ||||
\(394\) | 25.4389 | + | 2.67374i | 1.28159 | + | 0.134701i | ||||
\(395\) | −23.2407 | + | 23.2407i | −1.16937 | + | 1.16937i | ||||
\(396\) | 4.58401 | + | 6.80749i | 0.230355 | + | 0.342089i | ||||
\(397\) | 30.0494 | + | 8.05172i | 1.50814 | + | 0.404104i | 0.915816 | − | 0.401598i | \(-0.131545\pi\) |
0.592321 | + | 0.805702i | \(0.298212\pi\) | |||||||
\(398\) | 2.47004 | + | 15.5952i | 0.123812 | + | 0.781719i | ||||
\(399\) | −6.38286 | + | 1.35672i | −0.319543 | + | 0.0679209i | ||||
\(400\) | 5.09775 | − | 23.9830i | 0.254888 | − | 1.19915i | ||||
\(401\) | 19.7805 | + | 16.0180i | 0.987793 | + | 0.799899i | 0.979782 | − | 0.200069i | \(-0.0641165\pi\) |
0.00801145 | + | 0.999968i | \(0.497450\pi\) | |||||||
\(402\) | 12.3168 | − | 8.94870i | 0.614307 | − | 0.446320i | ||||
\(403\) | −18.3553 | + | 28.8018i | −0.914343 | + | 1.43472i | ||||
\(404\) | 1.32525 | + | 0.430601i | 0.0659339 | + | 0.0214232i | ||||
\(405\) | 3.45257 | + | 1.32532i | 0.171560 | + | 0.0658556i | ||||
\(406\) | −1.89401 | − | 1.09351i | −0.0939984 | − | 0.0542700i | ||||
\(407\) | −9.73195 | − | 20.9127i | −0.482395 | − | 1.03660i | ||||
\(408\) | −1.49988 | − | 1.49988i | −0.0742551 | − | 0.0742551i | ||||
\(409\) | 15.1714 | + | 18.7352i | 0.750179 | + | 0.926394i | 0.999112 | − | 0.0421266i | \(-0.0134133\pi\) |
−0.248933 | + | 0.968521i | \(0.580080\pi\) | |||||||
\(410\) | 23.3870 | − | 36.0128i | 1.15500 | − | 1.77854i | ||||
\(411\) | −16.1104 | − | 8.20868i | −0.794670 | − | 0.404904i | ||||
\(412\) | 38.0817 | + | 16.9550i | 1.87615 | + | 0.835315i | ||||
\(413\) | −4.28068 | − | 40.7280i | −0.210639 | − | 2.00409i | ||||
\(414\) | −3.07619 | − | 4.73692i | −0.151187 | − | 0.232807i | ||||
\(415\) | −9.56043 | + | 29.4240i | −0.469303 | + | 1.44437i | ||||
\(416\) | 15.8864 | + | 24.0102i | 0.778896 | + | 1.17720i | ||||
\(417\) | − | 15.8061i | − | 0.774026i | ||||||
\(418\) | 8.79893 | − | 4.66970i | 0.430370 | − | 0.228402i | ||||
\(419\) | −11.6117 | + | 20.1120i | −0.567268 | + | 0.982538i | 0.429566 | + | 0.903035i | \(0.358666\pi\) |
−0.996835 | + | 0.0795024i | \(0.974667\pi\) | |||||||
\(420\) | 4.39621 | − | 41.8272i | 0.214513 | − | 2.04096i | ||||
\(421\) | 4.77350 | − | 2.43222i | 0.232646 | − | 0.118539i | −0.333782 | − | 0.942650i | \(-0.608325\pi\) |
0.566428 | + | 0.824111i | \(0.308325\pi\) | |||||||
\(422\) | 16.7695 | − | 0.878854i | 0.816328 | − | 0.0427820i | ||||
\(423\) | 1.38305 | − | 0.530903i | 0.0672462 | − | 0.0258134i | ||||
\(424\) | −4.65674 | − | 0.737556i | −0.226151 | − | 0.0358189i | ||||
\(425\) | 13.6264 | + | 12.2693i | 0.660979 | + | 0.595149i | ||||
\(426\) | 16.2434 | + | 18.0402i | 0.786998 | + | 0.874049i | ||||
\(427\) | 11.6639 | − | 30.3855i | 0.564457 | − | 1.47046i | ||||
\(428\) | −1.72249 | −0.0832598 | ||||||||
\(429\) | 11.8545 | + | 1.57201i | 0.572340 | + | 0.0758971i | ||||
\(430\) | 69.8734 | 3.36960 | ||||||||
\(431\) | 8.48250 | − | 22.0977i | 0.408588 | − | 1.06441i | −0.562734 | − | 0.826638i | \(-0.690250\pi\) |
0.971322 | − | 0.237769i | \(-0.0764163\pi\) | |||||||
\(432\) | 1.89084 | + | 2.10000i | 0.0909733 | + | 0.101036i | ||||
\(433\) | 17.5668 | + | 15.8172i | 0.844208 | + | 0.760128i | 0.972819 | − | 0.231567i | \(-0.0743852\pi\) |
−0.128611 | + | 0.991695i | \(0.541052\pi\) | |||||||
\(434\) | 90.9537 | + | 14.4056i | 4.36592 | + | 0.691493i | ||||
\(435\) | 0.776709 | − | 0.298150i | 0.0372403 | − | 0.0142952i | ||||
\(436\) | 26.9002 | − | 1.40978i | 1.28829 | − | 0.0675163i | ||||
\(437\) | −3.37800 | + | 1.72118i | −0.161592 | + | 0.0823350i | ||||
\(438\) | 2.42399 | − | 23.0628i | 0.115823 | − | 1.10198i | ||||
\(439\) | −7.09960 | + | 12.2969i | −0.338846 | + | 0.586898i | −0.984216 | − | 0.176972i | \(-0.943370\pi\) |
0.645370 | + | 0.763870i | \(0.276703\pi\) | |||||||
\(440\) | 2.12841 | + | 12.1259i | 0.101468 | + | 0.578081i | ||||
\(441\) | 14.1217i | 0.672462i | ||||||||
\(442\) | −16.0876 | + | 0.981348i | −0.765210 | + | 0.0466780i | ||||
\(443\) | 7.92548 | − | 24.3921i | 0.376551 | − | 1.15890i | −0.565876 | − | 0.824491i | \(-0.691462\pi\) |
0.942426 | − | 0.334413i | \(-0.108538\pi\) | |||||||
\(444\) | 9.37299 | + | 14.4331i | 0.444822 | + | 0.684966i | ||||
\(445\) | −0.152350 | − | 1.44952i | −0.00722209 | − | 0.0687136i | ||||
\(446\) | −40.0329 | − | 17.8238i | −1.89561 | − | 0.843981i | ||||
\(447\) | 5.47410 | + | 2.78919i | 0.258916 | + | 0.131924i | ||||
\(448\) | 28.1318 | − | 43.3192i | 1.32910 | − | 2.04664i | ||||
\(449\) | 8.39559 | + | 10.3677i | 0.396212 | + | 0.489282i | 0.935742 | − | 0.352685i | \(-0.114731\pi\) |
−0.539530 | + | 0.841967i | \(0.681398\pi\) | |||||||
\(450\) | 12.9781 | + | 12.9781i | 0.611796 | + | 0.611796i | ||||
\(451\) | 3.48763 | − | 17.8681i | 0.164226 | − | 0.841376i | ||||
\(452\) | −1.57817 | − | 0.911156i | −0.0742308 | − | 0.0428572i | ||||
\(453\) | 15.4234 | + | 5.92048i | 0.724653 | + | 0.278168i | ||||
\(454\) | 13.7330 | + | 4.46214i | 0.644523 | + | 0.209418i | ||||
\(455\) | −41.3936 | − | 45.1879i | −1.94056 | − | 2.11844i | ||||
\(456\) | −1.15298 | + | 0.837688i | −0.0539932 | + | 0.0392283i | ||||
\(457\) | −6.00438 | − | 4.86225i | −0.280873 | − | 0.227447i | 0.478523 | − | 0.878075i | \(-0.341172\pi\) |
−0.759396 | + | 0.650628i | \(0.774506\pi\) | |||||||
\(458\) | −1.65866 | + | 7.80340i | −0.0775042 | + | 0.364629i | ||||
\(459\) | −2.06709 | + | 0.439373i | −0.0964833 | + | 0.0205082i | ||||
\(460\) | −3.82247 | − | 24.1341i | −0.178224 | − | 1.12526i | ||||
\(461\) | 3.74654 | + | 1.00388i | 0.174494 | + | 0.0467555i | 0.345008 | − | 0.938600i | \(-0.387876\pi\) |
−0.170514 | + | 0.985355i | \(0.554543\pi\) | |||||||
\(462\) | −8.86322 | − | 31.0007i | −0.412354 | − | 1.44228i | ||||
\(463\) | 4.16221 | − | 4.16221i | 0.193435 | − | 0.193435i | −0.603744 | − | 0.797178i | \(-0.706325\pi\) |
0.797178 | + | 0.603744i | \(0.206325\pi\) | |||||||
\(464\) | 0.632230 | + | 0.0664500i | 0.0293505 | + | 0.00308486i | ||||
\(465\) | −26.0332 | + | 23.4404i | −1.20726 | + | 1.08702i | ||||
\(466\) | −8.40104 | + | 5.45570i | −0.389171 | + | 0.252730i | ||||
\(467\) | −10.9495 | − | 15.0708i | −0.506684 | − | 0.697391i | 0.476671 | − | 0.879082i | \(-0.341843\pi\) |
−0.983356 | + | 0.181690i | \(0.941843\pi\) | |||||||
\(468\) | −8.92164 | + | 0.0764143i | −0.412403 | + | 0.00353225i | ||||
\(469\) | −31.4586 | + | 10.2215i | −1.45262 | + | 0.471986i | ||||
\(470\) | 11.5732 | + | 0.606527i | 0.533833 | + | 0.0279770i | ||||
\(471\) | 1.83961 | − | 0.819049i | 0.0847649 | − | 0.0377398i | ||||
\(472\) | −4.47199 | − | 7.74572i | −0.205840 | − | 0.356526i | ||||
\(473\) | 27.4756 | − | 11.0760i | 1.26333 | − | 0.509275i | ||||
\(474\) | 4.86567 | − | 18.1589i | 0.223488 | − | 0.834067i | ||||
\(475\) | 9.57423 | − | 7.75306i | 0.439296 | − | 0.355735i | ||||
\(476\) | 10.9107 | + | 21.4135i | 0.500093 | + | 0.981488i | ||||
\(477\) | −3.14308 | + | 3.49075i | −0.143912 | + | 0.159830i | ||||
\(478\) | 9.40170 | − | 0.988159i | 0.430024 | − | 0.0451973i | ||||
\(479\) | 8.02487 | − | 9.90989i | 0.366666 | − | 0.452794i | −0.560105 | − | 0.828421i | \(-0.689239\pi\) |
0.926771 | + | 0.375627i | \(0.122573\pi\) | |||||||
\(480\) | 9.12525 | + | 28.0846i | 0.416509 | + | 1.28188i | ||||
\(481\) | 24.7996 | + | 3.71043i | 1.13076 | + | 0.169181i | ||||
\(482\) | −23.2294 | − | 16.8771i | −1.05807 | − | 0.768732i | ||||
\(483\) | 3.17609 | + | 11.8533i | 0.144517 | + | 0.539345i | ||||
\(484\) | 14.3883 | + | 23.1059i | 0.654012 | + | 1.05027i | ||||
\(485\) | 23.4876 | − | 13.5605i | 1.06651 | − | 0.615753i | ||||
\(486\) | −2.08926 | + | 0.330906i | −0.0947708 | + | 0.0150102i | ||||
\(487\) | 3.47087 | + | 2.25401i | 0.157280 | + | 0.102139i | 0.620880 | − | 0.783906i | \(-0.286776\pi\) |
−0.463599 | + | 0.886045i | \(0.653442\pi\) | |||||||
\(488\) | −0.372022 | − | 7.09860i | −0.0168406 | − | 0.321338i | ||||
\(489\) | 2.08182 | − | 13.1441i | 0.0941432 | − | 0.594396i | ||||
\(490\) | −44.9328 | + | 100.921i | −2.02986 | + | 4.55913i | ||||
\(491\) | −29.7541 | − | 6.32443i | −1.34278 | − | 0.285418i | −0.520192 | − | 0.854049i | \(-0.674140\pi\) |
−0.822592 | + | 0.568632i | \(0.807473\pi\) | |||||||
\(492\) | −0.710871 | + | 13.5642i | −0.0320485 | + | 0.611522i | ||||
\(493\) | −0.279440 | + | 0.384616i | −0.0125853 | + | 0.0173222i | ||||
\(494\) | −1.03966 | + | 10.7790i | −0.0467767 | + | 0.484972i | ||||
\(495\) | 11.2868 | + | 4.80131i | 0.507303 | + | 0.215803i | ||||
\(496\) | −25.8554 | + | 6.92795i | −1.16094 | + | 0.311074i | ||||
\(497\) | −21.4522 | − | 48.1825i | −0.962264 | − | 2.16128i | ||||
\(498\) | −3.67922 | − | 17.3094i | −0.164870 | − | 0.775651i | ||||
\(499\) | −5.84553 | + | 11.4725i | −0.261682 | + | 0.513579i | −0.984042 | − | 0.177938i | \(-0.943057\pi\) |
0.722360 | + | 0.691517i | \(0.243057\pi\) | |||||||
\(500\) | 12.0578 | + | 31.4116i | 0.539241 | + | 1.40477i | ||||
\(501\) | −7.46003 | − | 19.4340i | −0.333290 | − | 0.868249i | ||||
\(502\) | −21.1328 | + | 41.4755i | −0.943203 | + | 1.85114i | ||||
\(503\) | −7.76208 | − | 36.5177i | −0.346094 | − | 1.62825i | −0.715244 | − | 0.698875i | \(-0.753684\pi\) |
0.369149 | − | 0.929370i | \(-0.379649\pi\) | |||||||
\(504\) | 1.87627 | + | 4.21417i | 0.0835756 | + | 0.187714i | ||||
\(505\) | 2.01159 | − | 0.539003i | 0.0895144 | − | 0.0239853i | ||||
\(506\) | −9.63558 | − | 16.0646i | −0.428354 | − | 0.714158i | ||||
\(507\) | −8.53194 | + | 9.80846i | −0.378917 | + | 0.435609i | ||||
\(508\) | 9.59779 | − | 13.2102i | 0.425833 | − | 0.586109i | ||||
\(509\) | −1.66490 | + | 31.7683i | −0.0737956 | + | 1.40810i | 0.671320 | + | 0.741168i | \(0.265728\pi\) |
−0.745115 | + | 0.666936i | \(0.767606\pi\) | |||||||
\(510\) | −16.1704 | − | 3.43713i | −0.716039 | − | 0.152199i | ||||
\(511\) | −20.4928 | + | 46.0276i | −0.906549 | + | 2.03614i | ||||
\(512\) | −4.41720 | + | 27.8891i | −0.195215 | + | 1.23254i | ||||
\(513\) | 0.0743099 | + | 1.41792i | 0.00328086 | + | 0.0626026i | ||||
\(514\) | −37.8262 | − | 24.5646i | −1.66844 | − | 1.08350i | ||||
\(515\) | 61.5329 | − | 9.74585i | 2.71146 | − | 0.429454i | ||||
\(516\) | −19.1412 | + | 11.0512i | −0.842643 | + | 0.486500i | ||||
\(517\) | 4.64696 | − | 1.59603i | 0.204373 | − | 0.0701935i | ||||
\(518\) | −17.4990 | − | 65.3072i | −0.768862 | − | 2.86943i | ||||
\(519\) | −1.90551 | − | 1.38443i | −0.0836425 | − | 0.0607699i | ||||
\(520\) | −12.2729 | − | 5.33877i | −0.538202 | − | 0.234120i | ||||
\(521\) | −5.84213 | − | 17.9802i | −0.255948 | − | 0.787728i | −0.993641 | − | 0.112591i | \(-0.964085\pi\) |
0.737693 | − | 0.675136i | \(-0.235915\pi\) | |||||||
\(522\) | −0.299475 | + | 0.369820i | −0.0131076 | + | 0.0161866i | ||||
\(523\) | −15.8218 | + | 1.66294i | −0.691838 | + | 0.0727151i | −0.443921 | − | 0.896066i | \(-0.646413\pi\) |
−0.247917 | + | 0.968781i | \(0.579746\pi\) | |||||||
\(524\) | −12.8043 | + | 14.2206i | −0.559359 | + | 0.621231i | ||||
\(525\) | −18.1036 | − | 35.5304i | −0.790108 | − | 1.55067i | ||||
\(526\) | 34.7234 | − | 28.1184i | 1.51401 | − | 1.22602i | ||||
\(527\) | 5.18100 | − | 19.3358i | 0.225688 | − | 0.842279i | ||||
\(528\) | 6.01874 | + | 7.18420i | 0.261932 | + | 0.312652i | ||||
\(529\) | −7.93521 | − | 13.7442i | −0.345009 | − | 0.597573i | ||||
\(530\) | −33.5690 | + | 14.9459i | −1.45815 | + | 0.649208i | ||||
\(531\) | −8.89853 | − | 0.466352i | −0.386163 | − | 0.0202380i | ||||
\(532\) | 15.3570 | − | 4.98979i | 0.665810 | − | 0.216335i | ||||
\(533\) | 14.1139 | + | 13.8742i | 0.611340 | + | 0.600956i | ||||
\(534\) | 0.490015 | + | 0.674447i | 0.0212050 | + | 0.0291862i | ||||
\(535\) | −2.15899 | + | 1.40206i | −0.0933412 | + | 0.0606165i | ||||
\(536\) | −5.36857 | + | 4.83389i | −0.231887 | + | 0.208792i | ||||
\(537\) | 10.5274 | + | 1.10648i | 0.454291 | + | 0.0477479i | ||||
\(538\) | 0.219470 | − | 0.219470i | 0.00946202 | − | 0.00946202i | ||||
\(539\) | −1.67097 | + | 46.8065i | −0.0719739 | + | 2.01610i | ||||
\(540\) | −8.83942 | − | 2.36851i | −0.380388 | − | 0.101925i | ||||
\(541\) | −0.0347408 | − | 0.219345i | −0.00149363 | − | 0.00943038i | 0.986930 | − | 0.161148i | \(-0.0515196\pi\) |
−0.988424 | + | 0.151717i | \(0.951520\pi\) | |||||||
\(542\) | −32.8338 | + | 6.97905i | −1.41033 | + | 0.299776i | ||||
\(543\) | −3.94244 | + | 18.5477i | −0.169186 | + | 0.795958i | ||||
\(544\) | −13.1138 | − | 10.6193i | −0.562249 | − | 0.455300i | ||||
\(545\) | 32.5695 | − | 23.6631i | 1.39512 | − | 1.01362i | ||||
\(546\) | 33.4277 | + | 10.5457i | 1.43057 | + | 0.451312i | ||||
\(547\) | 5.36421 | + | 1.74294i | 0.229357 | + | 0.0745226i | 0.421441 | − | 0.906856i | \(-0.361525\pi\) |
−0.192084 | + | 0.981379i | \(0.561525\pi\) | |||||||
\(548\) | 41.7703 | + | 16.0341i | 1.78434 | + | 0.684943i | ||||
\(549\) | −6.13312 | − | 3.54096i | −0.261755 | − | 0.151124i | ||||
\(550\) | 41.4806 | + | 44.5519i | 1.76874 | + | 1.89970i | ||||
\(551\) | 0.225864 | + | 0.225864i | 0.00962213 | + | 0.00962213i | ||||
\(552\) | 1.68663 | + | 2.08282i | 0.0717879 | + | 0.0886507i | ||||
\(553\) | −22.2457 | + | 34.2554i | −0.945985 | + | 1.45669i | ||||
\(554\) | 22.8749 | + | 11.6554i | 0.971863 | + | 0.495189i | ||||
\(555\) | 23.4964 | + | 10.4613i | 0.997366 | + | 0.444056i | ||||
\(556\) | 4.08834 | + | 38.8980i | 0.173384 | + | 1.64964i | ||||
\(557\) | 3.03700 | + | 4.67657i | 0.128682 | + | 0.198153i | 0.897139 | − | 0.441749i | \(-0.145642\pi\) |
−0.768457 | + | 0.639902i | \(0.778975\pi\) | |||||||
\(558\) | 6.19182 | − | 19.0565i | 0.262121 | − | 0.806724i | ||||
\(559\) | −6.42571 | + | 31.5572i | −0.271778 | + | 1.33473i | ||||
\(560\) | − | 48.0286i | − | 2.02958i | ||||||
\(561\) | −6.90337 | + | 1.21171i | −0.291461 | + | 0.0511586i | ||||
\(562\) | −3.74410 | + | 6.48497i | −0.157935 | + | 0.273552i | ||||
\(563\) | −4.16212 | + | 39.5999i | −0.175412 | + | 1.66894i | 0.453344 | + | 0.891336i | \(0.350231\pi\) |
−0.628756 | + | 0.777602i | \(0.716436\pi\) | |||||||
\(564\) | −3.26630 | + | 1.66426i | −0.137536 | + | 0.0700781i | ||||
\(565\) | −2.71975 | + | 0.142536i | −0.114421 | + | 0.00599653i | ||||
\(566\) | −36.9878 | + | 14.1983i | −1.55471 | + | 0.596799i | ||||
\(567\) | 4.53925 | + | 0.718947i | 0.190631 | + | 0.0301929i | ||||
\(568\) | −8.56023 | − | 7.70766i | −0.359179 | − | 0.323406i | ||||
\(569\) | 7.33494 | + | 8.14627i | 0.307496 | + | 0.341509i | 0.877010 | − | 0.480473i | \(-0.159535\pi\) |
−0.569513 | + | 0.821982i | \(0.692868\pi\) | |||||||
\(570\) | −3.98051 | + | 10.3696i | −0.166725 | + | 0.434334i | ||||
\(571\) | 7.07672 | 0.296152 | 0.148076 | − | 0.988976i | \(-0.452692\pi\) | ||||
0.148076 | + | 0.988976i | \(0.452692\pi\) | |||||||
\(572\) | −29.5799 | − | 0.802392i | −1.23680 | − | 0.0335497i | ||||
\(573\) | 4.58918 | 0.191716 | ||||||||
\(574\) | 19.1235 | − | 49.8185i | 0.798200 | − | 2.07938i | ||||
\(575\) | −15.5024 | − | 17.2171i | −0.646493 | − | 0.718003i | ||||
\(576\) | −8.35214 | − | 7.52030i | −0.348006 | − | 0.313346i | ||||
\(577\) | −39.8945 | − | 6.31867i | −1.66083 | − | 0.263050i | −0.745722 | − | 0.666257i | \(-0.767895\pi\) |
−0.915109 | + | 0.403207i | \(0.867895\pi\) | |||||||
\(578\) | −24.7524 | + | 9.50157i | −1.02957 | + | 0.395213i | ||||
\(579\) | 9.42328 | − | 0.493853i | 0.391618 | − | 0.0205238i | ||||
\(580\) | −1.83432 | + | 0.934635i | −0.0761662 | + | 0.0388086i | ||||
\(581\) | −4.01886 | + | 38.2369i | −0.166730 | + | 1.58633i | ||||
\(582\) | −7.75638 | + | 13.4344i | −0.321512 | + | 0.556876i | ||||
\(583\) | −10.8308 | + | 11.1982i | −0.448568 | + | 0.463783i | ||||
\(584\) | 11.0038i | 0.455339i | ||||||||
\(585\) | −11.1203 | + | 7.35776i | −0.459767 | + | 0.304206i | ||||
\(586\) | 20.8736 | − | 64.2424i | 0.862282 | − | 2.65383i | ||||
\(587\) | 3.38939 | + | 5.21921i | 0.139895 | + | 0.215420i | 0.901673 | − | 0.432419i | \(-0.142340\pi\) |
−0.761778 | + | 0.647839i | \(0.775673\pi\) | |||||||
\(588\) | −3.65267 | − | 34.7528i | −0.150634 | − | 1.43318i | ||||
\(589\) | −12.2868 | − | 5.47045i | −0.506270 | − | 0.225406i | ||||
\(590\) | −62.1095 | − | 31.6464i | −2.55701 | − | 1.30286i | ||||
\(591\) | −6.58598 | + | 10.1415i | −0.270911 | + | 0.417166i | ||||
\(592\) | 12.3679 | + | 15.2731i | 0.508319 | + | 0.627721i | ||||
\(593\) | −29.9106 | − | 29.9106i | −1.22828 | − | 1.22828i | −0.964614 | − | 0.263666i | \(-0.915068\pi\) |
−0.263666 | − | 0.964614i | \(-0.584932\pi\) | |||||||
\(594\) | −6.96404 | + | 0.849578i | −0.285738 | + | 0.0348586i | ||||
\(595\) | 31.1057 | + | 17.9589i | 1.27521 | + | 0.736242i | ||||
\(596\) | −14.1930 | − | 5.44816i | −0.581366 | − | 0.223165i | ||||
\(597\) | −7.09914 | − | 2.30665i | −0.290548 | − | 0.0944049i | ||||
\(598\) | 20.3451 | + | 0.891584i | 0.831973 | + | 0.0364596i | ||||
\(599\) | 8.44382 | − | 6.13479i | 0.345005 | − | 0.250661i | −0.401766 | − | 0.915743i | \(-0.631603\pi\) |
0.746771 | + | 0.665082i | \(0.231603\pi\) | |||||||
\(600\) | −6.76822 | − | 5.48080i | −0.276312 | − | 0.223753i | ||||
\(601\) | 9.21987 | − | 43.3761i | 0.376086 | − | 1.76935i | −0.229239 | − | 0.973370i | \(-0.573624\pi\) |
0.605326 | − | 0.795978i | \(-0.293043\pi\) | |||||||
\(602\) | 84.9357 | − | 18.0536i | 3.46172 | − | 0.735811i | ||||
\(603\) | 1.12590 | + | 7.10867i | 0.0458503 | + | 0.289487i | ||||
\(604\) | −39.4876 | − | 10.5807i | −1.60673 | − | 0.430521i | ||||
\(605\) | 36.8420 | + | 17.2495i | 1.49784 | + | 0.701294i | ||||
\(606\) | −0.842290 | + | 0.842290i | −0.0342157 | + | 0.0342157i | ||||
\(607\) | 22.6437 | + | 2.37995i | 0.919079 | + | 0.0965990i | 0.552240 | − | 0.833685i | \(-0.313773\pi\) |
0.366839 | + | 0.930284i | \(0.380440\pi\) | |||||||
\(608\) | −8.42541 | + | 7.58628i | −0.341696 | + | 0.307664i | ||||
\(609\) | 0.867104 | − | 0.563104i | 0.0351368 | − | 0.0228181i | ||||
\(610\) | −32.5637 | − | 44.8200i | −1.31846 | − | 1.81471i | ||||
\(611\) | −1.33823 | + | 5.17108i | −0.0541388 | + | 0.209200i | ||||
\(612\) | 4.97335 | − | 1.61594i | 0.201036 | − | 0.0653205i | ||||
\(613\) | 17.0571 | + | 0.893924i | 0.688929 | + | 0.0361052i | 0.393588 | − | 0.919287i | \(-0.371233\pi\) |
0.295341 | + | 0.955392i | \(0.404567\pi\) | |||||||
\(614\) | −45.8779 | + | 20.4262i | −1.85148 | + | 0.824333i | ||||
\(615\) | 10.1499 | + | 17.5802i | 0.409284 | + | 0.708901i | ||||
\(616\) | 5.72027 | + | 14.1899i | 0.230476 | + | 0.571728i | ||||
\(617\) | −0.279415 | + | 1.04279i | −0.0112488 | + | 0.0419812i | −0.971322 | − | 0.237767i | \(-0.923584\pi\) |
0.960073 | + | 0.279749i | \(0.0902511\pi\) | |||||||
\(618\) | −27.6931 | + | 22.4255i | −1.11398 | + | 0.902084i | ||||
\(619\) | 8.06273 | + | 15.8240i | 0.324069 | + | 0.636020i | 0.994358 | − | 0.106080i | \(-0.0338299\pi\) |
−0.670289 | + | 0.742100i | \(0.733830\pi\) | |||||||
\(620\) | 58.0035 | − | 64.4194i | 2.32948 | − | 2.58714i | ||||
\(621\) | 2.65550 | − | 0.279104i | 0.106562 | − | 0.0112001i | ||||
\(622\) | 4.57191 | − | 5.64583i | 0.183317 | − | 0.226377i | ||||
\(623\) | −0.559712 | − | 1.72262i | −0.0224244 | − | 0.0690151i | ||||
\(624\) | −10.1233 | + | 1.15175i | −0.405258 | + | 0.0461069i | ||||
\(625\) | 5.58361 | + | 4.05673i | 0.223345 | + | 0.162269i | ||||
\(626\) | −2.54336 | − | 9.49195i | −0.101653 | − | 0.379375i | ||||
\(627\) | 0.0785238 | + | 4.70850i | 0.00313594 | + | 0.188039i | ||||
\(628\) | −4.31535 | + | 2.49147i | −0.172201 | + | 0.0994204i | ||||
\(629\) | −14.5162 | + | 2.29915i | −0.578800 | + | 0.0916730i | ||||
\(630\) | 30.1522 | + | 19.5811i | 1.20129 | + | 0.780129i | ||||
\(631\) | −2.21856 | − | 42.3326i | −0.0883194 | − | 1.68523i | −0.580124 | − | 0.814528i | \(-0.696996\pi\) |
0.491804 | − | 0.870706i | \(-0.336337\pi\) | |||||||
\(632\) | −1.39548 | + | 8.81071i | −0.0555092 | + | 0.350471i | ||||
\(633\) | −3.22892 | + | 7.25227i | −0.128338 | + | 0.288252i | ||||
\(634\) | −9.32960 | − | 1.98307i | −0.370526 | − | 0.0787577i | ||||
\(635\) | 1.27719 | − | 24.3702i | 0.0506836 | − | 0.967101i | ||||
\(636\) | 6.83208 | − | 9.40355i | 0.270910 | − | 0.372875i | ||||
\(637\) | −41.4471 | − | 29.5741i | −1.64219 | − | 1.17177i | ||||
\(638\) | −1.03637 | + | 1.19034i | −0.0410304 | + | 0.0471260i | ||||
\(639\) | −11.0851 | + | 2.97024i | −0.438519 | + | 0.117501i | ||||
\(640\) | −11.7385 | − | 26.3651i | −0.464005 | − | 1.04217i | ||||
\(641\) | 0.808212 | + | 3.80234i | 0.0319225 | + | 0.150183i | 0.991222 | − | 0.132206i | \(-0.0422062\pi\) |
−0.959300 | + | 0.282390i | \(0.908873\pi\) | |||||||
\(642\) | 0.668479 | − | 1.31196i | 0.0263828 | − | 0.0517791i | ||||
\(643\) | −4.67815 | − | 12.1870i | −0.184488 | − | 0.480608i | 0.809879 | − | 0.586597i | \(-0.199533\pi\) |
−0.994367 | + | 0.105989i | \(0.966199\pi\) | |||||||
\(644\) | −10.8821 | − | 28.3490i | −0.428817 | − | 1.11711i | ||||
\(645\) | −14.9964 | + | 29.4320i | −0.590482 | + | 1.15889i | ||||
\(646\) | −1.31963 | − | 6.20837i | −0.0519201 | − | 0.244265i | ||||
\(647\) | −20.0656 | − | 45.0682i | −0.788862 | − | 1.77181i | −0.617445 | − | 0.786614i | \(-0.711832\pi\) |
−0.171417 | − | 0.985199i | \(-0.554835\pi\) | |||||||
\(648\) | 0.969529 | − | 0.259785i | 0.0380867 | − | 0.0102053i | ||||
\(649\) | −29.4391 | − | 2.59866i | −1.15559 | − | 0.102006i | ||||
\(650\) | −65.2700 | + | 10.9116i | −2.56010 | + | 0.427988i | ||||
\(651\) | −25.5886 | + | 35.2197i | −1.00290 | + | 1.38037i | ||||
\(652\) | −1.72345 | + | 32.8855i | −0.0674957 | + | 1.28789i | ||||
\(653\) | −13.8827 | − | 2.95087i | −0.543274 | − | 0.115476i | −0.0719032 | − | 0.997412i | \(-0.522907\pi\) |
−0.471371 | + | 0.881935i | \(0.656241\pi\) | |||||||
\(654\) | −9.36588 | + | 21.0361i | −0.366235 | + | 0.822577i | ||||
\(655\) | −4.47383 | + | 28.2466i | −0.174807 | + | 1.10369i | ||||
\(656\) | 0.811796 | + | 15.4900i | 0.0316953 | + | 0.604782i | ||||
\(657\) | 9.19423 | + | 5.97080i | 0.358701 | + | 0.232943i | ||||
\(658\) | 14.2247 | − | 2.25297i | 0.554537 | − | 0.0878300i | ||||
\(659\) | −19.3149 | + | 11.1515i | −0.752402 | + | 0.434399i | −0.826561 | − | 0.562847i | \(-0.809706\pi\) |
0.0741594 | + | 0.997246i | \(0.476373\pi\) | |||||||
\(660\) | −29.0181 | − | 8.89641i | −1.12953 | − | 0.346292i | ||||
\(661\) | 10.9930 | + | 41.0266i | 0.427579 | + | 1.59575i | 0.758225 | + | 0.651993i | \(0.226067\pi\) |
−0.330646 | + | 0.943755i | \(0.607266\pi\) | |||||||
\(662\) | 40.4011 | + | 29.3532i | 1.57024 | + | 1.14084i | ||||
\(663\) | 3.03939 | − | 6.98703i | 0.118040 | − | 0.271354i | ||||
\(664\) | 2.59480 | + | 7.98597i | 0.100698 | + | 0.309916i | ||||
\(665\) | 15.1870 | − | 18.7544i | 0.588928 | − | 0.727266i | ||||
\(666\) | −14.6308 | + | 1.53776i | −0.566931 | + | 0.0595868i | ||||
\(667\) | 0.401937 | − | 0.446397i | 0.0155631 | − | 0.0172845i | ||||
\(668\) | 23.3855 | + | 45.8967i | 0.904814 | + | 1.77580i | ||||
\(669\) | 16.0997 | − | 13.0372i | 0.622449 | − | 0.504049i | ||||
\(670\) | −14.5723 | + | 54.3846i | −0.562977 | + | 2.10106i | ||||
\(671\) | −19.9093 | − | 12.4623i | −0.768591 | − | 0.481101i | ||||
\(672\) | 18.3487 | + | 31.7809i | 0.707817 | + | 1.22598i | ||||
\(673\) | 11.5121 | − | 5.12552i | 0.443759 | − | 0.197574i | −0.172678 | − | 0.984978i | \(-0.555242\pi\) |
0.616437 | + | 0.787404i | \(0.288575\pi\) | |||||||
\(674\) | −13.5988 | − | 0.712682i | −0.523806 | − | 0.0274515i | ||||
\(675\) | −8.25204 | + | 2.68125i | −0.317621 | + | 0.103201i | ||||
\(676\) | 18.4597 | − | 26.3450i | 0.709988 | − | 1.01327i | ||||
\(677\) | −5.09704 | − | 7.01547i | −0.195895 | − | 0.269627i | 0.699758 | − | 0.714380i | \(-0.253291\pi\) |
−0.895653 | + | 0.444754i | \(0.853291\pi\) | |||||||
\(678\) | 1.30646 | − | 0.848428i | 0.0501745 | − | 0.0325837i | ||||
\(679\) | 25.0469 | − | 22.5523i | 0.961212 | − | 0.865479i | ||||
\(680\) | 7.80147 | + | 0.819967i | 0.299173 | + | 0.0314443i | ||||
\(681\) | −4.82695 | + | 4.82695i | −0.184969 | + | 0.184969i | ||||
\(682\) | 22.7778 | − | 62.4303i | 0.872205 | − | 2.39058i | ||||
\(683\) | 10.8962 | + | 2.91962i | 0.416930 | + | 0.111716i | 0.461185 | − | 0.887304i | \(-0.347425\pi\) |
−0.0442544 | + | 0.999020i | \(0.514091\pi\) | |||||||
\(684\) | −0.549627 | − | 3.47021i | −0.0210155 | − | 0.132687i | ||||
\(685\) | 65.4066 | − | 13.9026i | 2.49906 | − | 0.531191i | ||||
\(686\) | −14.3946 | + | 67.7212i | −0.549588 | + | 2.58561i | ||||
\(687\) | −2.93096 | − | 2.37344i | −0.111823 | − | 0.0905524i | ||||
\(688\) | −20.4198 | + | 14.8358i | −0.778497 | + | 0.565611i | ||||
\(689\) | −3.66300 | − | 16.5354i | −0.139549 | − | 0.629948i | ||||
\(690\) | 19.8656 | + | 6.45473i | 0.756271 | + | 0.245727i | ||||
\(691\) | 26.2488 | + | 10.0760i | 0.998550 | + | 0.383307i | 0.802089 | − | 0.597204i | \(-0.203722\pi\) |
0.196461 | + | 0.980512i | \(0.437055\pi\) | |||||||
\(692\) | 5.04746 | + | 2.91415i | 0.191876 | + | 0.110779i | ||||
\(693\) | 14.9603 | + | 2.92007i | 0.568296 | + | 0.110924i | ||||
\(694\) | 24.8449 | + | 24.8449i | 0.943101 | + | 0.943101i | ||||
\(695\) | 36.7863 | + | 45.4273i | 1.39538 | + | 1.72316i | ||||
\(696\) | 0.122982 | − | 0.189376i | 0.00466162 | − | 0.00717827i | ||||
\(697\) | −10.3356 | − | 5.26626i | −0.391489 | − | 0.199474i | ||||
\(698\) | −69.3780 | − | 30.8891i | −2.62600 | − | 1.16917i | ||||
\(699\) | −0.494998 | − | 4.70959i | −0.0187226 | − | 0.178133i | ||||
\(700\) | 53.7424 | + | 82.7561i | 2.03127 | + | 3.12789i | ||||
\(701\) | −4.34196 | + | 13.3632i | −0.163994 | + | 0.504720i | −0.998961 | − | 0.0455794i | \(-0.985487\pi\) |
0.834967 | + | 0.550300i | \(0.185487\pi\) | |||||||
\(702\) | 3.40418 | − | 6.82497i | 0.128483 | − | 0.257592i | ||||
\(703\) | 9.87476i | 0.372434i | ||||||||
\(704\) | −26.7934 | − | 25.9144i | −1.00982 | − | 0.976686i | ||||
\(705\) | −2.73935 | + | 4.74469i | −0.103170 | + | 0.178695i | ||||
\(706\) | −4.65167 | + | 44.2577i | −0.175068 | + | 1.66566i | ||||
\(707\) | 2.30595 | − | 1.17494i | 0.0867240 | − | 0.0441881i | ||||
\(708\) | 22.0195 | − | 1.15399i | 0.827543 | − | 0.0433697i | ||||
\(709\) | −1.17323 | + | 0.450360i | −0.0440615 | + | 0.0169136i | −0.380299 | − | 0.924864i | \(-0.624179\pi\) |
0.336237 | + | 0.941777i | \(0.390846\pi\) | |||||||
\(710\) | −88.6703 | − | 14.0440i | −3.32774 | − | 0.527062i | ||||
\(711\) | 6.60461 | + | 5.94682i | 0.247692 | + | 0.223023i | ||||
\(712\) | −0.264695 | − | 0.293974i | −0.00991986 | − | 0.0110171i | ||||
\(713\) | −9.06410 | + | 23.6128i | −0.339453 | + | 0.884305i | ||||
\(714\) | −20.5443 | −0.768851 | ||||||||
\(715\) | −37.7289 | + | 23.0716i | −1.41098 | + | 0.862828i | ||||
\(716\) | −26.1937 | −0.978903 | ||||||||
\(717\) | −1.60158 | + | 4.17226i | −0.0598121 | + | 0.155816i | ||||
\(718\) | −27.2161 | − | 30.2265i | −1.01570 | − | 1.12804i | ||||
\(719\) | −12.6258 | − | 11.3683i | −0.470864 | − | 0.423967i | 0.399232 | − | 0.916850i | \(-0.369277\pi\) |
−0.870096 | + | 0.492882i | \(0.835943\pi\) | |||||||
\(720\) | −10.3218 | − | 1.63481i | −0.384671 | − | 0.0609259i | ||||
\(721\) | 72.2791 | − | 27.7454i | 2.69181 | − | 1.03329i | ||||
\(722\) | 35.8771 | − | 1.88024i | 1.33521 | − | 0.0699752i | ||||
\(723\) | 12.0945 | − | 6.16246i | 0.449799 | − | 0.229184i | ||||
\(724\) | 4.90467 | − | 46.6648i | 0.182280 | − | 1.73428i | ||||
\(725\) | −0.975979 | + | 1.69045i | −0.0362470 | + | 0.0627816i | ||||
\(726\) | −23.1829 | + | 1.99191i | −0.860399 | + | 0.0739266i | ||||
\(727\) | − | 24.2216i | − | 0.898331i | −0.893449 | − | 0.449166i | \(-0.851721\pi\) | ||
0.893449 | − | 0.449166i | \(-0.148279\pi\) | |||||||
\(728\) | −16.2979 | − | 3.31859i | −0.604040 | − | 0.122995i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 46.7085 | + | 71.9248i | 1.72876 | + | 2.66206i | ||||
\(731\) | −1.97305 | − | 18.7723i | −0.0729757 | − | 0.694318i | ||||
\(732\) | 16.0092 | + | 7.12776i | 0.591718 | + | 0.263450i | ||||
\(733\) | 14.0399 | + | 7.15367i | 0.518574 | + | 0.264227i | 0.693630 | − | 0.720332i | \(-0.256010\pi\) |
−0.175055 | + | 0.984559i | \(0.556010\pi\) | |||||||
\(734\) | −40.7509 | + | 62.7509i | −1.50414 | + | 2.31618i | ||||
\(735\) | −32.8662 | − | 40.5864i | −1.21229 | − | 1.49705i | ||||
\(736\) | 15.0761 | + | 15.0761i | 0.555712 | + | 0.555712i | ||||
\(737\) | 2.89067 | + | 23.6950i | 0.106479 | + | 0.872817i | ||||
\(738\) | −10.0555 | − | 5.80556i | −0.370149 | − | 0.213706i | ||||
\(739\) | 15.7387 | + | 6.04152i | 0.578957 | + | 0.222241i | 0.630184 | − | 0.776446i | \(-0.282980\pi\) |
−0.0512262 | + | 0.998687i | \(0.516313\pi\) | |||||||
\(740\) | −60.5294 | − | 19.6672i | −2.22511 | − | 0.722981i | ||||
\(741\) | −4.31720 | − | 2.75134i | −0.158596 | − | 0.101073i | ||||
\(742\) | −36.9437 | + | 26.8411i | −1.35624 | + | 0.985369i | ||||
\(743\) | 17.8653 | + | 14.4670i | 0.655413 | + | 0.530743i | 0.898339 | − | 0.439302i | \(-0.144774\pi\) |
−0.242927 | + | 0.970045i | \(0.578107\pi\) | |||||||
\(744\) | −1.97678 | + | 9.30004i | −0.0724724 | + | 0.340956i | ||||
\(745\) | −22.2243 | + | 4.72391i | −0.814234 | + | 0.173071i | ||||
\(746\) | −1.53389 | − | 9.68457i | −0.0561595 | − | 0.354577i | ||||
\(747\) | 8.08068 | + | 2.16521i | 0.295657 | + | 0.0792210i | ||||
\(748\) | 16.6755 | − | 4.76758i | 0.609715 | − | 0.174320i | ||||
\(749\) | −2.26213 | + | 2.26213i | −0.0826564 | + | 0.0826564i | ||||
\(750\) | −28.6047 | − | 3.00647i | −1.04450 | − | 0.109781i | ||||
\(751\) | −2.92704 | + | 2.63552i | −0.106809 | + | 0.0961716i | −0.720805 | − | 0.693138i | \(-0.756228\pi\) |
0.613996 | + | 0.789309i | \(0.289561\pi\) | |||||||
\(752\) | −3.51093 | + | 2.28003i | −0.128031 | + | 0.0831440i | ||||
\(753\) | −12.9347 | − | 17.8031i | −0.471367 | − | 0.648781i | ||||
\(754\) | −0.458253 | − | 1.65345i | −0.0166886 | − | 0.0602149i | ||||
\(755\) | −58.1065 | + | 18.8800i | −2.11471 | + | 0.687112i | ||||
\(756\) | −11.3568 | − | 0.595187i | −0.413045 | − | 0.0216467i | ||||
\(757\) | −15.3729 | + | 6.84446i | −0.558738 | + | 0.248766i | −0.666620 | − | 0.745397i | \(-0.732260\pi\) |
0.107882 | + | 0.994164i | \(0.465593\pi\) | |||||||
\(758\) | 4.80366 | + | 8.32018i | 0.174477 | + | 0.302203i | ||||
\(759\) | 8.83472 | − | 0.610879i | 0.320680 | − | 0.0221735i | ||||
\(760\) | 1.36411 | − | 5.09094i | 0.0494816 | − | 0.184668i | ||||
\(761\) | −3.80733 | + | 3.08312i | −0.138016 | + | 0.111763i | −0.695842 | − | 0.718195i | \(-0.744969\pi\) |
0.557827 | + | 0.829958i | \(0.311635\pi\) | |||||||
\(762\) | 6.33699 | + | 12.4370i | 0.229565 | + | 0.450547i | ||||
\(763\) | 33.4763 | − | 37.1792i | 1.21192 | − | 1.34598i | ||||
\(764\) | −11.2938 | + | 1.18702i | −0.408594 | + | 0.0429449i | ||||
\(765\) | 4.91832 | − | 6.07362i | 0.177822 | − | 0.219592i | ||||
\(766\) | 4.10378 | + | 12.6301i | 0.148276 | + | 0.456345i | ||||
\(767\) | 20.0043 | − | 25.1405i | 0.722314 | − | 0.907771i | ||||
\(768\) | −4.83010 | − | 3.50927i | −0.174291 | − | 0.126630i | ||||
\(769\) | −2.63252 | − | 9.82470i | −0.0949311 | − | 0.354288i | 0.902078 | − | 0.431573i | \(-0.142041\pi\) |
−0.997009 | + | 0.0772856i | \(0.975375\pi\) | |||||||
\(770\) | 97.6230 | + | 68.4696i | 3.51809 | + | 2.46747i | ||||
\(771\) | 18.4654 | − | 10.6610i | 0.665016 | − | 0.383947i | ||||
\(772\) | −23.0625 | + | 3.65274i | −0.830038 | + | 0.131465i | ||||
\(773\) | 22.0610 | + | 14.3266i | 0.793478 | + | 0.515291i | 0.876583 | − | 0.481250i | \(-0.159817\pi\) |
−0.0831052 | + | 0.996541i | \(0.526484\pi\) | |||||||
\(774\) | −0.988830 | − | 18.8680i | −0.0355427 | − | 0.678196i | ||||
\(775\) | 12.8573 | − | 81.1780i | 0.461849 | − | 2.91600i | ||||
\(776\) | 2.99397 | − | 6.72456i | 0.107477 | − | 0.241398i | ||||
\(777\) | 31.2643 | + | 6.64544i | 1.12160 | + | 0.238404i | ||||
\(778\) | −0.259491 | + | 4.95138i | −0.00930321 | + | 0.177516i | ||||
\(779\) | −4.58107 | + | 6.30530i | −0.164134 | + | 0.225911i | ||||
\(780\) | 25.4633 | − | 20.9834i | 0.911734 | − | 0.751328i | ||||
\(781\) | −37.0931 | + | 8.53323i | −1.32729 | + | 0.305343i | ||||
\(782\) | −11.5293 | + | 3.08926i | −0.412286 | + | 0.110472i | ||||
\(783\) | −0.0915016 | − | 0.205516i | −0.00327000 | − | 0.00734454i | ||||
\(784\) | −8.29680 | − | 39.0334i | −0.296314 | − | 1.39405i | ||||
\(785\) | −3.38091 | + | 6.63541i | −0.120670 | + | 0.236828i | ||||
\(786\) | −5.86216 | − | 15.2715i | −0.209096 | − | 0.544715i | ||||
\(787\) | −1.05446 | − | 2.74695i | −0.0375873 | − | 0.0979184i | 0.913502 | − | 0.406834i | \(-0.133367\pi\) |
−0.951089 | + | 0.308916i | \(0.900034\pi\) | |||||||
\(788\) | 13.5846 | − | 26.6613i | 0.483932 | − | 0.949770i | ||||
\(789\) | 4.39163 | + | 20.6610i | 0.156346 | + | 0.735551i | ||||
\(790\) | 28.2781 | + | 63.5137i | 1.00609 | + | 2.25972i | ||||
\(791\) | −3.26920 | + | 0.875980i | −0.116239 | + | 0.0311463i | ||||
\(792\) | 3.24426 | − | 0.746338i | 0.115280 | − | 0.0265200i | ||||
\(793\) | 23.2369 | − | 10.5851i | 0.825165 | − | 0.375888i | ||||
\(794\) | 38.6798 | − | 53.2381i | 1.37269 | − | 1.88935i | ||||
\(795\) | 0.909151 | − | 17.3476i | 0.0322443 | − | 0.615257i | ||||
\(796\) | 18.0673 | + | 3.84032i | 0.640378 | + | 0.136116i | ||||
\(797\) | 0.441746 | − | 0.992178i | 0.0156474 | − | 0.0351447i | −0.905553 | − | 0.424234i | \(-0.860543\pi\) |
0.921200 | + | 0.389089i | \(0.127210\pi\) | |||||||
\(798\) | −2.15931 | + | 13.6334i | −0.0764389 | + | 0.482616i | ||||
\(799\) | −0.163848 | − | 3.12640i | −0.00579651 | − | 0.110604i | ||||
\(800\) | −58.1056 | − | 37.7342i | −2.05434 | − | 1.33411i | ||||
\(801\) | −0.389258 | + | 0.0616524i | −0.0137538 | + | 0.00217838i | ||||
\(802\) | 46.6272 | − | 26.9202i | 1.64646 | − | 0.950586i | ||||
\(803\) | 29.7679 | + | 20.8782i | 1.05049 | + | 0.736777i | ||||
\(804\) | −4.60950 | − | 17.2029i | −0.162564 | − | 0.606699i | ||||
\(805\) | −36.7151 | − | 26.6751i | −1.29404 | − | 0.940173i | ||||
\(806\) | 42.9636 | + | 58.0816i | 1.51333 | + | 2.04584i | ||||
\(807\) | 0.0453419 | + | 0.139548i | 0.00159611 | + | 0.00491232i | ||||
\(808\) | 0.355707 | − | 0.439262i | 0.0125137 | − | 0.0154532i | ||||
\(809\) | −53.1249 | + | 5.58365i | −1.86777 | + | 0.196311i | −0.969826 | − | 0.243796i | \(-0.921607\pi\) |
−0.897945 | + | 0.440107i | \(0.854940\pi\) | |||||||
\(810\) | 5.23449 | − | 5.81349i | 0.183921 | − | 0.204265i | ||||
\(811\) | 21.8365 | + | 42.8566i | 0.766785 | + | 1.50490i | 0.860584 | + | 0.509308i | \(0.170099\pi\) |
−0.0937994 | + | 0.995591i | \(0.529901\pi\) | |||||||
\(812\) | −1.98825 | + | 1.61006i | −0.0697740 | + | 0.0565019i | ||||
\(813\) | 4.10715 | − | 15.3281i | 0.144044 | − | 0.537580i | ||||
\(814\) | −48.6759 | + | 3.36570i | −1.70609 | + | 0.117968i | ||||
\(815\) | 24.6077 | + | 42.6218i | 0.861971 | + | 1.49298i | ||||
\(816\) | 5.45543 | − | 2.42891i | 0.190978 | − | 0.0850290i | ||||
\(817\) | −12.6648 | − | 0.663736i | −0.443086 | − | 0.0232212i | ||||
\(818\) | 48.4991 | − | 15.7583i | 1.69573 | − | 0.550977i | ||||
\(819\) | −11.6163 | + | 11.8170i | −0.405908 | + | 0.412921i | ||||
\(820\) | −29.5257 | − | 40.6386i | −1.03108 | − | 1.41916i | ||||
\(821\) | −13.8907 | + | 9.02071i | −0.484788 | + | 0.314825i | −0.763789 | − | 0.645466i | \(-0.776663\pi\) |
0.279001 | + | 0.960291i | \(0.409997\pi\) | |||||||
\(822\) | −28.4232 | + | 25.5924i | −0.991373 | + | 0.892636i | ||||
\(823\) | 32.5797 | + | 3.42426i | 1.13566 | + | 0.119362i | 0.653644 | − | 0.756802i | \(-0.273239\pi\) |
0.482013 | + | 0.876164i | \(0.339906\pi\) | |||||||
\(824\) | 11.9564 | − | 11.9564i | 0.416519 | − | 0.416519i | ||||
\(825\) | −27.6688 | + | 7.91060i | −0.963303 | + | 0.275412i | ||||
\(826\) | −83.6748 | − | 22.4206i | −2.91142 | − | 0.780112i | ||||
\(827\) | −5.92781 | − | 37.4267i | −0.206130 | − | 1.30146i | −0.846087 | − | 0.533044i | \(-0.821048\pi\) |
0.639957 | − | 0.768411i | \(-0.278952\pi\) | |||||||
\(828\) | −6.46287 | + | 1.37373i | −0.224600 | + | 0.0477403i | ||||
\(829\) | 5.65440 | − | 26.6018i | 0.196385 | − | 0.923920i | −0.763994 | − | 0.645224i | \(-0.776764\pi\) |
0.960379 | − | 0.278697i | \(-0.0899024\pi\) | |||||||
\(830\) | 50.8593 | + | 41.1850i | 1.76535 | + | 1.42955i | ||||
\(831\) | −9.81892 | + | 7.13387i | −0.340615 | + | 0.247471i | ||||
\(832\) | 39.5634 | − | 8.76427i | 1.37161 | − | 0.303846i | ||||
\(833\) | 28.3823 | + | 9.22196i | 0.983387 | + | 0.319522i | ||||
\(834\) | −31.2139 | − | 11.9819i | −1.08085 | − | 0.414899i | ||||
\(835\) | 66.6704 | + | 38.4922i | 2.30722 | + | 1.33208i | ||||
\(836\) | −1.41113 | − | 11.5671i | −0.0488049 | − | 0.400056i | ||||
\(837\) | 6.69805 | + | 6.69805i | 0.231518 | + | 0.231518i | ||||
\(838\) | 30.9151 | + | 38.1769i | 1.06794 | + | 1.31880i | ||||
\(839\) | −21.8138 | + | 33.5903i | −0.753095 | + | 1.15966i | 0.229392 | + | 0.973334i | \(0.426326\pi\) |
−0.982487 | + | 0.186330i | \(0.940341\pi\) | |||||||
\(840\) | −15.2003 | − | 7.74496i | −0.524461 | − | 0.267226i | ||||
\(841\) | 26.4466 | + | 11.7748i | 0.911951 | + | 0.406027i | ||||
\(842\) | −1.18458 | − | 11.2705i | −0.0408232 | − | 0.388407i | ||||
\(843\) | −1.92803 | − | 2.96890i | −0.0664048 | − | 0.102254i | ||||
\(844\) | 6.07037 | − | 18.6827i | 0.208951 | − | 0.643085i | ||||
\(845\) | 1.69340 | − | 48.0468i | 0.0582547 | − | 1.65286i | ||||
\(846\) | − | 3.13371i | − | 0.107739i | ||||||
\(847\) | 49.2407 | + | 11.4488i | 1.69193 | + | 0.393386i | ||||
\(848\) | 6.63682 | − | 11.4953i | 0.227909 | − | 0.394751i | ||||
\(849\) | 1.95780 | − | 18.6272i | 0.0671916 | − | 0.639285i | ||||
\(850\) | 34.5591 | − | 17.6087i | 1.18537 | − | 0.603975i | ||||
\(851\) | 18.5446 | − | 0.971879i | 0.635699 | − | 0.0333156i | ||||
\(852\) | 26.5116 | − | 10.1768i | 0.908271 | − | 0.348653i | ||||
\(853\) | 9.24004 | + | 1.46348i | 0.316373 | + | 0.0501086i | 0.312602 | − | 0.949884i | \(-0.398800\pi\) |
0.00377137 | + | 0.999993i | \(0.498800\pi\) | |||||||
\(854\) | −51.1636 | − | 46.0679i | −1.75078 | − | 1.57641i | ||||
\(855\) | −3.51357 | − | 3.90221i | −0.120161 | − | 0.133453i | ||||
\(856\) | −0.250389 | + | 0.652284i | −0.00855810 | + | 0.0222946i | ||||
\(857\) | −22.4769 | −0.767797 | −0.383899 | − | 0.923375i | \(-0.625419\pi\) | ||||
−0.383899 | + | 0.923375i | \(0.625419\pi\) | |||||||
\(858\) | 12.0908 | − | 22.2186i | 0.412772 | − | 0.758532i | ||||
\(859\) | 33.3303 | 1.13722 | 0.568608 | − | 0.822609i | \(-0.307482\pi\) | ||||
0.568608 | + | 0.822609i | \(0.307482\pi\) | |||||||
\(860\) | 29.2926 | − | 76.3098i | 0.998869 | − | 2.60214i | ||||
\(861\) | 16.8802 | + | 18.7473i | 0.575275 | + | 0.638907i | ||||
\(862\) | −37.2084 | − | 33.5026i | −1.26732 | − | 1.14110i | ||||
\(863\) | 15.8048 | + | 2.50324i | 0.538003 | + | 0.0852113i | 0.419522 | − | 0.907745i | \(-0.362198\pi\) |
0.118481 | + | 0.992956i | \(0.462198\pi\) | |||||||
\(864\) | 7.45458 | − | 2.86154i | 0.253610 | − | 0.0973517i | ||||
\(865\) | 8.69858 | − | 0.455873i | 0.295761 | − | 0.0155002i | ||||
\(866\) | 44.5527 | − | 22.7007i | 1.51396 | − | 0.771402i | ||||
\(867\) | 1.31017 | − | 12.4654i | 0.0444958 | − | 0.423349i | ||||
\(868\) | 53.8625 | − | 93.2926i | 1.82821 | − | 3.16656i | ||||
\(869\) | 21.1874 | + | 20.4923i | 0.718733 | + | 0.695154i | ||||
\(870\) | − | 1.75986i | − | 0.0596650i | ||||||
\(871\) | −23.2218 | − | 11.5827i | −0.786841 | − | 0.392464i | ||||
\(872\) | 3.37646 | − | 10.3917i | 0.114341 | − | 0.351907i | ||||
\(873\) | −3.99416 | − | 6.15046i | −0.135182 | − | 0.208162i | ||||
\(874\) | 0.838273 | + | 7.97564i | 0.0283550 | + | 0.269780i | ||||
\(875\) | 57.0880 | + | 25.4172i | 1.92993 | + | 0.859258i | ||||
\(876\) | −24.1710 | − | 12.3157i | −0.816661 | − | 0.416110i | ||||
\(877\) | −3.85440 | + | 5.93526i | −0.130154 | + | 0.200420i | −0.897739 | − | 0.440527i | \(-0.854791\pi\) |
0.767585 | + | 0.640947i | \(0.221458\pi\) | |||||||
\(878\) | 18.9020 | + | 23.3421i | 0.637913 | + | 0.787757i | ||||
\(879\) | 22.5802 | + | 22.5802i | 0.761612 | + | 0.761612i | ||||
\(880\) | −34.0183 | − | 6.63996i | −1.14676 | − | 0.223833i | ||||
\(881\) | 18.6566 | + | 10.7714i | 0.628557 | + | 0.362898i | 0.780193 | − | 0.625539i | \(-0.215121\pi\) |
−0.151636 | + | 0.988436i | \(0.548454\pi\) | |||||||
\(882\) | 27.8876 | + | 10.7050i | 0.939025 | + | 0.360458i | ||||
\(883\) | 29.5644 | + | 9.60605i | 0.994920 | + | 0.323269i | 0.760834 | − | 0.648947i | \(-0.224790\pi\) |
0.234086 | + | 0.972216i | \(0.424790\pi\) | |||||||
\(884\) | −5.67256 | + | 17.9809i | −0.190789 | + | 0.604764i | ||||
\(885\) | 26.6601 | − | 19.3697i | 0.896171 | − | 0.651106i | ||||
\(886\) | −42.1617 | − | 34.1419i | −1.41645 | − | 1.14702i | ||||
\(887\) | 1.57390 | − | 7.40460i | 0.0528462 | − | 0.248622i | −0.943793 | − | 0.330537i | \(-0.892770\pi\) |
0.996639 | + | 0.0819148i | \(0.0261035\pi\) | |||||||
\(888\) | 6.82813 | − | 1.45136i | 0.229137 | − | 0.0487046i | ||||
\(889\) | −4.74417 | − | 29.9535i | −0.159114 | − | 1.00461i | ||||
\(890\) | −2.97800 | − | 0.797953i | −0.0998228 | − | 0.0267474i | ||||
\(891\) | 1.13678 | − | 3.11572i | 0.0380834 | − | 0.104381i | ||||
\(892\) | −36.2483 | + | 36.2483i | −1.21368 | + | 1.21368i | ||||
\(893\) | −2.09193 | − | 0.219871i | −0.0700037 | − | 0.00735769i | ||||
\(894\) | 9.65780 | − | 8.69592i | 0.323005 | − | 0.290835i | ||||
\(895\) | −32.8314 | + | 21.3210i | −1.09743 | + | 0.712681i | ||||
\(896\) | −21.0810 | − | 29.0155i | −0.704268 | − | 0.969341i | ||||
\(897\) | −4.74206 | + | 8.37839i | −0.158333 | + | 0.279746i | ||||
\(898\) | 26.8385 | − | 8.72036i | 0.895613 | − | 0.291002i | ||||
\(899\) | 2.12806 | + | 0.111527i | 0.0709747 | + | 0.00371963i | ||||
\(900\) | 19.6144 | − | 8.73288i | 0.653812 | − | 0.291096i | ||||
\(901\) | 4.96328 | + | 8.59666i | 0.165351 | + | 0.286396i | ||||
\(902\) | −32.6422 | − | 20.4324i | −1.08687 | − | 0.680326i | ||||
\(903\) | −10.6245 | + | 39.6512i | −0.353562 | + | 1.31951i | ||||
\(904\) | −0.574452 | + | 0.465182i | −0.0191060 | + | 0.0154717i | ||||
\(905\) | −31.8364 | − | 62.4824i | −1.05828 | − | 2.07698i | ||||
\(906\) | 23.3836 | − | 25.9701i | 0.776868 | − | 0.862799i | ||||
\(907\) | −30.6603 | + | 3.22252i | −1.01806 | + | 0.107002i | −0.598828 | − | 0.800878i | \(-0.704367\pi\) |
−0.419230 | + | 0.907880i | \(0.637700\pi\) | |||||||
\(908\) | 10.6304 | − | 13.1274i | 0.352781 | − | 0.435649i | ||||
\(909\) | −0.174015 | − | 0.535563i | −0.00577171 | − | 0.0177635i | ||||
\(910\) | −120.616 | + | 47.4894i | −3.99838 | + | 1.57426i | ||||
\(911\) | 28.9061 | + | 21.0015i | 0.957701 | + | 0.695811i | 0.952616 | − | 0.304176i | \(-0.0983812\pi\) |
0.00508553 | + | 0.999987i | \(0.498381\pi\) | |||||||
\(912\) | −1.03845 | − | 3.87557i | −0.0343867 | − | 0.128333i | ||||
\(913\) | 26.5273 | + | 8.13278i | 0.877926 | + | 0.269156i | ||||
\(914\) | −14.1537 | + | 8.17163i | −0.468162 | + | 0.270293i | ||||
\(915\) | 25.8679 | − | 4.09708i | 0.855167 | − | 0.135445i | ||||
\(916\) | 7.82685 | + | 5.08282i | 0.258606 | + | 0.167941i | ||||
\(917\) | 1.86003 | + | 35.4915i | 0.0614237 | + | 1.17203i | ||||
\(918\) | −0.699293 | + | 4.41516i | −0.0230801 | + | 0.145722i | ||||
\(919\) | −5.48116 | + | 12.3109i | −0.180807 | + | 0.406099i | −0.981098 | − | 0.193513i | \(-0.938012\pi\) |
0.800291 | + | 0.599612i | \(0.204678\pi\) | |||||||
\(920\) | −9.69492 | − | 2.06072i | −0.319632 | − | 0.0679399i | ||||
\(921\) | 1.24251 | − | 23.7086i | 0.0409422 | − | 0.781224i | ||||
\(922\) | 4.82257 | − | 6.63770i | 0.158823 | − | 0.218601i | ||||
\(923\) | 14.4970 | − | 38.7550i | 0.477176 | − | 1.27564i | ||||
\(924\) | −37.5720 | − | 3.31657i | −1.23603 | − | 0.109107i | ||||
\(925\) | −58.2880 | + | 15.6182i | −1.91650 | + | 0.513524i | ||||
\(926\) | −5.06437 | − | 11.3748i | −0.166426 | − | 0.373798i | ||||
\(927\) | −3.50248 | − | 16.4779i | −0.115037 | − | 0.541204i | ||||
\(928\) | 0.815518 | − | 1.60054i | 0.0267707 | − | 0.0525405i | ||||
\(929\) | −1.80183 | − | 4.69393i | −0.0591162 | − | 0.154003i | 0.900841 | − | 0.434148i | \(-0.142951\pi\) |
−0.959958 | + | 0.280145i | \(0.909617\pi\) | |||||||
\(930\) | 26.5556 | + | 69.1797i | 0.870792 | + | 2.26849i | ||||
\(931\) | 9.10290 | − | 17.8655i | 0.298336 | − | 0.585517i | ||||
\(932\) | 2.43634 | + | 11.4621i | 0.0798048 | + | 0.375452i | ||||
\(933\) | 1.39690 | + | 3.13749i | 0.0457325 | + | 0.102717i | ||||
\(934\) | −38.0622 | + | 10.1987i | −1.24543 | + | 0.333713i | ||||
\(935\) | 17.0205 | − | 19.5491i | 0.556630 | − | 0.639324i | ||||
\(936\) | −1.26795 | + | 3.38961i | −0.0414442 | + | 0.110793i | ||||
\(937\) | 8.41522 | − | 11.5826i | 0.274913 | − | 0.378385i | −0.649128 | − | 0.760680i | \(-0.724866\pi\) |
0.924041 | + | 0.382294i | \(0.124866\pi\) | |||||||
\(938\) | −3.66189 | + | 69.8731i | −0.119565 | + | 2.28144i | ||||
\(939\) | 4.54405 | + | 0.965868i | 0.148290 | + | 0.0315199i | ||||
\(940\) | 5.51416 | − | 12.3850i | 0.179852 | − | 0.403954i | ||||
\(941\) | −4.68586 | + | 29.5853i | −0.152755 | + | 0.964454i | 0.785589 | + | 0.618749i | \(0.212360\pi\) |
−0.938343 | + | 0.345705i | \(0.887640\pi\) | |||||||
\(942\) | −0.222930 | − | 4.25376i | −0.00726346 | − | 0.138595i | ||||
\(943\) | 12.2921 | + | 7.98256i | 0.400285 | + | 0.259948i | ||||
\(944\) | 24.8702 | − | 3.93905i | 0.809455 | − | 0.128205i | ||||
\(945\) | −14.7193 | + | 8.49817i | −0.478817 | + | 0.276445i | ||||
\(946\) | −1.04490 | − | 62.6552i | −0.0339727 | − | 2.03710i | ||||
\(947\) | −6.32141 | − | 23.5918i | −0.205418 | − | 0.766631i | −0.989322 | − | 0.145749i | \(-0.953441\pi\) |
0.783903 | − | 0.620883i | \(-0.213226\pi\) | |||||||
\(948\) | −17.7918 | − | 12.9265i | −0.577852 | − | 0.419834i | ||||
\(949\) | −36.7791 | + | 14.4808i | −1.19390 | + | 0.470067i | ||||
\(950\) | −8.05298 | − | 24.7845i | −0.261273 | − | 0.804116i | ||||
\(951\) | 2.83764 | − | 3.50420i | 0.0920169 | − | 0.113631i | ||||
\(952\) | 9.69505 | − | 1.01899i | 0.314218 | − | 0.0330257i | ||||
\(953\) | 13.1387 | − | 14.5920i | 0.425604 | − | 0.472681i | −0.491760 | − | 0.870731i | \(-0.663646\pi\) |
0.917364 | + | 0.398050i | \(0.130313\pi\) | |||||||
\(954\) | 4.51092 | + | 8.85317i | 0.146046 | + | 0.286632i | ||||
\(955\) | −13.1895 | + | 10.6806i | −0.426802 | + | 0.345618i | ||||
\(956\) | 2.86223 | − | 10.6820i | 0.0925712 | − | 0.345480i | ||||
\(957\) | −0.278965 | − | 0.692013i | −0.00901767 | − | 0.0223696i | ||||
\(958\) | −13.4868 | − | 23.3598i | −0.435739 | − | 0.754721i | ||||
\(959\) | 75.9139 | − | 33.7990i | 2.45139 | − | 1.09143i | ||||
\(960\) | 41.5068 | + | 2.17528i | 1.33963 | + | 0.0702069i | ||||
\(961\) | −55.8534 | + | 18.1479i | −1.80172 | + | 0.585415i | ||||
\(962\) | 26.1269 | − | 46.1617i | 0.842365 | − | 1.48831i | ||||
\(963\) | 0.409154 | + | 0.563152i | 0.0131848 | + | 0.0181473i | ||||
\(964\) | −28.1700 | + | 18.2938i | −0.907296 | + | 0.589205i | ||||
\(965\) | −25.9335 | + | 23.3507i | −0.834830 | + | 0.751684i | ||||
\(966\) | 25.8157 | + | 2.71334i | 0.830606 | + | 0.0873002i | ||||
\(967\) | 11.6118 | − | 11.6118i | 0.373411 | − | 0.373411i | −0.495307 | − | 0.868718i | \(-0.664945\pi\) |
0.868718 | + | 0.495307i | \(0.164945\pi\) | |||||||
\(968\) | 10.8414 | − | 2.08987i | 0.348457 | − | 0.0671709i | ||||
\(969\) | 2.89831 | + | 0.776599i | 0.0931070 | + | 0.0249479i | ||||
\(970\) | −8.97454 | − | 56.6630i | −0.288155 | − | 1.81934i | ||||
\(971\) | 50.4204 | − | 10.7172i | 1.61807 | − | 0.343931i | 0.692178 | − | 0.721727i | \(-0.256651\pi\) |
0.925889 | + | 0.377796i | \(0.123318\pi\) | |||||||
\(972\) | −0.514479 | + | 2.42044i | −0.0165019 | + | 0.0776355i | ||||
\(973\) | 56.4535 | + | 45.7151i | 1.80982 | + | 1.46556i | ||||
\(974\) | 7.08236 | − | 5.14563i | 0.226933 | − | 0.164877i | ||||
\(975\) | 9.41220 | − | 29.8349i | 0.301432 | − | 0.955480i | ||||
\(976\) | 19.0328 | + | 6.18413i | 0.609224 | + | 0.197949i | ||||
\(977\) | −27.6146 | − | 10.6002i | −0.883468 | − | 0.339132i | −0.126021 | − | 0.992028i | \(-0.540221\pi\) |
−0.757448 | + | 0.652896i | \(0.773554\pi\) | |||||||
\(978\) | −24.3789 | − | 14.0752i | −0.779551 | − | 0.450074i | ||||
\(979\) | −1.29750 | + | 0.158288i | −0.0414682 | + | 0.00505891i | ||||
\(980\) | 91.3801 | + | 91.3801i | 2.91903 | + | 2.91903i | ||||
\(981\) | −6.85069 | − | 8.45990i | −0.218726 | − | 0.270104i | ||||
\(982\) | −35.0448 | + | 53.9643i | −1.11833 | + | 1.72207i | ||||
\(983\) | 47.1593 | + | 24.0289i | 1.50415 | + | 0.766402i | 0.995517 | − | 0.0945827i | \(-0.0301517\pi\) |
0.508631 | + | 0.860984i | \(0.330152\pi\) | |||||||
\(984\) | 5.03325 | + | 2.24095i | 0.160454 | + | 0.0714388i | ||||
\(985\) | −4.67452 | − | 44.4751i | −0.148943 | − | 1.41709i | ||||
\(986\) | 0.547710 | + | 0.843400i | 0.0174427 | + | 0.0268593i | ||||
\(987\) | −2.10394 | + | 6.47526i | −0.0669691 | + | 0.206110i | ||||
\(988\) | 11.3361 | + | 5.65426i | 0.360649 | + | 0.179886i | ||||
\(989\) | 23.8496i | 0.758372i | ||||||||
\(990\) | 18.0377 | − | 18.6495i | 0.573275 | − | 0.592720i | ||||
\(991\) | −11.6106 | + | 20.1102i | −0.368824 | + | 0.638822i | −0.989382 | − | 0.145339i | \(-0.953573\pi\) |
0.620558 | + | 0.784160i | \(0.286906\pi\) | |||||||
\(992\) | −7.90623 | + | 75.2227i | −0.251023 | + | 2.38832i | ||||
\(993\) | −21.0351 | + | 10.7179i | −0.667528 | + | 0.340123i | ||||
\(994\) | −111.413 | + | 5.83891i | −3.53381 | + | 0.185199i | ||||
\(995\) | 25.7716 | − | 9.89280i | 0.817016 | − | 0.313623i | ||||
\(996\) | −20.4462 | − | 3.23836i | −0.647863 | − | 0.102611i | ||||
\(997\) | 30.3126 | + | 27.2936i | 0.960010 | + | 0.864397i | 0.990828 | − | 0.135128i | \(-0.0431446\pi\) |
−0.0308182 | + | 0.999525i | \(0.509811\pi\) | |||||||
\(998\) | 18.2247 | + | 20.2406i | 0.576893 | + | 0.640705i | ||||
\(999\) | 2.49235 | − | 6.49280i | 0.0788545 | − | 0.205423i |
(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 | 429.2.bs.b.7.13 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.b.85.13 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.b.106.13 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.b.184.13 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.7.13 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.85.13 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.b.106.13 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.b.184.13 | yes | 224 | 143.41 | even | 60 | inner |