Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(47,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bd (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 59.6 | ||
Character | \(\chi\) | \(=\) | 441.59 |
Dual form | 441.2.bd.a.299.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.22460 | + | 0.873090i | −1.57303 | + | 0.617368i | −0.981932 | − | 0.189233i | \(-0.939400\pi\) |
−0.591096 | + | 0.806601i | \(0.701305\pi\) | |||||||
\(3\) | −0.408355 | − | 1.68322i | −0.235764 | − | 0.971810i | ||||
\(4\) | 2.72045 | − | 2.52420i | 1.36022 | − | 1.26210i | ||||
\(5\) | −2.05554 | − | 0.989896i | −0.919266 | − | 0.442695i | −0.0864568 | − | 0.996256i | \(-0.527554\pi\) |
−0.832809 | + | 0.553561i | \(0.813269\pi\) | |||||||
\(6\) | 2.37803 | + | 3.38797i | 0.970828 | + | 1.38313i | ||||
\(7\) | 2.60867 | + | 0.441423i | 0.985984 | + | 0.166842i | ||||
\(8\) | −1.77425 | + | 3.68427i | −0.627293 | + | 1.30259i | ||||
\(9\) | −2.66649 | + | 1.37471i | −0.888831 | + | 0.458236i | ||||
\(10\) | 5.43702 | + | 0.407448i | 1.71934 | + | 0.128846i | ||||
\(11\) | 4.06669 | + | 3.24307i | 1.22615 | + | 0.977824i | 0.999993 | + | 0.00373334i | \(0.00118836\pi\) |
0.226159 | + | 0.974090i | \(0.427383\pi\) | |||||||
\(12\) | −5.35971 | − | 3.54835i | −1.54722 | − | 1.02432i | ||||
\(13\) | −0.574202 | + | 0.225358i | −0.159255 | + | 0.0625030i | −0.443629 | − | 0.896210i | \(-0.646309\pi\) |
0.284374 | + | 0.958713i | \(0.408214\pi\) | |||||||
\(14\) | −6.18864 | + | 1.29561i | −1.65398 | + | 0.346267i | ||||
\(15\) | −0.826827 | + | 3.86417i | −0.213486 | + | 0.997723i | ||||
\(16\) | 0.175630 | − | 2.34362i | 0.0439074 | − | 0.585904i | ||||
\(17\) | 1.39998 | + | 1.29899i | 0.339544 | + | 0.315051i | 0.831452 | − | 0.555596i | \(-0.187510\pi\) |
−0.491908 | + | 0.870647i | \(0.663700\pi\) | |||||||
\(18\) | 4.73163 | − | 5.38626i | 1.11526 | − | 1.26955i | ||||
\(19\) | 4.54187 | − | 2.62225i | 1.04198 | − | 0.601586i | 0.121584 | − | 0.992581i | \(-0.461203\pi\) |
0.920393 | + | 0.390996i | \(0.127869\pi\) | |||||||
\(20\) | −8.09069 | + | 2.49565i | −1.80913 | + | 0.558043i | ||||
\(21\) | −0.322249 | − | 4.57123i | −0.0703204 | − | 0.997524i | ||||
\(22\) | −11.8782 | − | 3.66395i | −2.53245 | − | 0.781157i | ||||
\(23\) | −0.610005 | + | 0.139230i | −0.127195 | + | 0.0290314i | −0.285644 | − | 0.958336i | \(-0.592208\pi\) |
0.158450 | + | 0.987367i | \(0.449350\pi\) | |||||||
\(24\) | 6.92598 | + | 1.48197i | 1.41376 | + | 0.302507i | ||||
\(25\) | 0.127903 | + | 0.160386i | 0.0255807 | + | 0.0320772i | ||||
\(26\) | 1.08061 | − | 1.00266i | 0.211925 | − | 0.196638i | ||||
\(27\) | 3.40282 | + | 3.92694i | 0.654872 | + | 0.755739i | ||||
\(28\) | 8.21098 | − | 5.38394i | 1.55173 | − | 1.01747i | ||||
\(29\) | −2.22091 | − | 7.20001i | −0.412412 | − | 1.33701i | −0.889011 | − | 0.457887i | \(-0.848607\pi\) |
0.476598 | − | 0.879121i | \(-0.341870\pi\) | |||||||
\(30\) | −1.53441 | − | 9.31811i | −0.280143 | − | 1.70125i | ||||
\(31\) | 4.06806 | − | 2.34870i | 0.730645 | − | 0.421838i | −0.0880129 | − | 0.996119i | \(-0.528052\pi\) |
0.818658 | + | 0.574281i | \(0.194718\pi\) | |||||||
\(32\) | −0.755163 | − | 2.44818i | −0.133495 | − | 0.432781i | ||||
\(33\) | 3.79817 | − | 8.16947i | 0.661177 | − | 1.42212i | ||||
\(34\) | −4.24852 | − | 1.66742i | −0.728615 | − | 0.285960i | ||||
\(35\) | −4.92526 | − | 3.48967i | −0.832521 | − | 0.589862i | ||||
\(36\) | −3.78401 | + | 10.4706i | −0.630668 | + | 1.74510i | ||||
\(37\) | −5.42578 | + | 1.67363i | −0.891993 | + | 0.275143i | −0.706678 | − | 0.707536i | \(-0.749807\pi\) |
−0.185315 | + | 0.982679i | \(0.559331\pi\) | |||||||
\(38\) | −7.81438 | + | 9.79892i | −1.26766 | + | 1.58959i | ||||
\(39\) | 0.613806 | + | 0.874485i | 0.0982876 | + | 0.140030i | ||||
\(40\) | 7.29409 | − | 5.81685i | 1.15330 | − | 0.919724i | ||||
\(41\) | 6.01384 | − | 4.10017i | 0.939204 | − | 0.640338i | 0.00611385 | − | 0.999981i | \(-0.498054\pi\) |
0.933090 | + | 0.359643i | \(0.117102\pi\) | |||||||
\(42\) | 4.70797 | + | 9.88780i | 0.726456 | + | 1.52572i | ||||
\(43\) | 4.94212 | + | 3.36948i | 0.753666 | + | 0.513841i | 0.878153 | − | 0.478380i | \(-0.158776\pi\) |
−0.124486 | + | 0.992221i | \(0.539728\pi\) | |||||||
\(44\) | 19.2494 | − | 1.44254i | 2.90195 | − | 0.217471i | ||||
\(45\) | 6.84190 | − | 0.186216i | 1.01993 | − | 0.0277594i | ||||
\(46\) | 1.23546 | − | 0.842319i | 0.182158 | − | 0.124193i | ||||
\(47\) | −0.914445 | − | 2.32997i | −0.133385 | − | 0.339861i | 0.848539 | − | 0.529132i | \(-0.177483\pi\) |
−0.981925 | + | 0.189272i | \(0.939387\pi\) | |||||||
\(48\) | −4.01655 | + | 0.661403i | −0.579740 | + | 0.0954654i | ||||
\(49\) | 6.61029 | + | 2.30305i | 0.944327 | + | 0.329007i | ||||
\(50\) | −0.424565 | − | 0.245123i | −0.0600426 | − | 0.0346656i | ||||
\(51\) | 1.61480 | − | 2.88692i | 0.226117 | − | 0.404250i | ||||
\(52\) | −0.993236 | + | 2.06248i | −0.137737 | + | 0.286014i | ||||
\(53\) | 1.70161 | − | 5.51649i | 0.233735 | − | 0.757749i | −0.760386 | − | 0.649471i | \(-0.774990\pi\) |
0.994121 | − | 0.108278i | \(-0.0345335\pi\) | |||||||
\(54\) | −10.9985 | − | 5.76489i | −1.49670 | − | 0.784502i | ||||
\(55\) | −5.14893 | − | 10.6919i | −0.694282 | − | 1.44169i | ||||
\(56\) | −6.25476 | + | 8.82785i | −0.835827 | + | 1.17967i | ||||
\(57\) | −6.26853 | − | 6.57418i | −0.830288 | − | 0.870772i | ||||
\(58\) | 11.2269 | + | 14.0781i | 1.47416 | + | 1.84854i | ||||
\(59\) | 10.4099 | + | 7.09734i | 1.35525 | + | 0.923995i | 0.999942 | − | 0.0107533i | \(-0.00342294\pi\) |
0.355310 | + | 0.934749i | \(0.384375\pi\) | |||||||
\(60\) | 7.50461 | + | 12.5993i | 0.968841 | + | 1.62657i | ||||
\(61\) | −0.0705253 | + | 0.0760081i | −0.00902983 | + | 0.00973185i | −0.737551 | − | 0.675292i | \(-0.764018\pi\) |
0.728521 | + | 0.685024i | \(0.240208\pi\) | |||||||
\(62\) | −6.99918 | + | 8.77669i | −0.888896 | + | 1.11464i | ||||
\(63\) | −7.56282 | + | 2.40910i | −0.952826 | + | 0.303518i | ||||
\(64\) | 6.74805 | + | 8.46179i | 0.843506 | + | 1.05772i | ||||
\(65\) | 1.40338 | + | 0.105168i | 0.174067 | + | 0.0130445i | ||||
\(66\) | −1.31671 | + | 21.4899i | −0.162076 | + | 2.64523i | ||||
\(67\) | −6.07583 | − | 10.5237i | −0.742281 | − | 1.28567i | −0.951454 | − | 0.307790i | \(-0.900410\pi\) |
0.209173 | − | 0.977879i | \(-0.432923\pi\) | |||||||
\(68\) | 7.08747 | 0.859482 | ||||||||
\(69\) | 0.483453 | + | 0.969920i | 0.0582010 | + | 0.116765i | ||||
\(70\) | 14.0035 | + | 3.46292i | 1.67374 | + | 0.413898i | ||||
\(71\) | 2.65016 | − | 0.604882i | 0.314516 | − | 0.0717862i | −0.0623490 | − | 0.998054i | \(-0.519859\pi\) |
0.376865 | + | 0.926268i | \(0.377002\pi\) | |||||||
\(72\) | −0.333766 | − | 12.2632i | −0.0393347 | − | 1.44523i | ||||
\(73\) | −1.02444 | − | 6.79671i | −0.119902 | − | 0.795495i | −0.965259 | − | 0.261294i | \(-0.915851\pi\) |
0.845358 | − | 0.534201i | \(-0.179387\pi\) | |||||||
\(74\) | 10.6089 | − | 8.46036i | 1.23327 | − | 0.983496i | ||||
\(75\) | 0.217735 | − | 0.280785i | 0.0251419 | − | 0.0324222i | ||||
\(76\) | 5.73682 | − | 18.5983i | 0.658058 | − | 2.13337i | ||||
\(77\) | 9.17707 | + | 10.2552i | 1.04582 | + | 1.16869i | ||||
\(78\) | −2.12898 | − | 1.40947i | −0.241059 | − | 0.159591i | ||||
\(79\) | −6.67798 | + | 11.5666i | −0.751332 | + | 1.30135i | 0.195845 | + | 0.980635i | \(0.437255\pi\) |
−0.947177 | + | 0.320710i | \(0.896078\pi\) | |||||||
\(80\) | −2.68095 | + | 4.64354i | −0.299739 | + | 0.519164i | ||||
\(81\) | 5.22036 | − | 7.33129i | 0.580040 | − | 0.814588i | ||||
\(82\) | −9.79856 | + | 14.3718i | −1.08207 | + | 1.58710i | ||||
\(83\) | 5.52037 | − | 14.0657i | 0.605940 | − | 1.54391i | −0.217234 | − | 0.976119i | \(-0.569704\pi\) |
0.823174 | − | 0.567789i | \(-0.192201\pi\) | |||||||
\(84\) | −12.4154 | − | 11.6224i | −1.35463 | − | 1.26810i | ||||
\(85\) | −1.59184 | − | 4.05595i | −0.172660 | − | 0.439930i | ||||
\(86\) | −13.9361 | − | 3.18082i | −1.50277 | − | 0.342997i | ||||
\(87\) | −11.2123 | + | 6.67845i | −1.20209 | + | 0.716005i | ||||
\(88\) | −19.1637 | + | 9.22875i | −2.04286 | + | 0.983788i | ||||
\(89\) | −2.61883 | + | 6.67267i | −0.277596 | + | 0.707302i | 0.722281 | + | 0.691600i | \(0.243094\pi\) |
−0.999877 | + | 0.0157024i | \(0.995002\pi\) | |||||||
\(90\) | −15.0579 | + | 6.38785i | −1.58724 | + | 0.673339i | ||||
\(91\) | −1.59738 | + | 0.334417i | −0.167451 | + | 0.0350565i | ||||
\(92\) | −1.30804 | + | 1.91854i | −0.136373 | + | 0.200022i | ||||
\(93\) | −5.61460 | − | 5.88836i | −0.582207 | − | 0.610594i | ||||
\(94\) | 4.06854 | + | 4.38485i | 0.419638 | + | 0.452262i | ||||
\(95\) | −11.9318 | + | 0.894162i | −1.22417 | + | 0.0917390i | ||||
\(96\) | −3.81246 | + | 2.27083i | −0.389107 | + | 0.231766i | ||||
\(97\) | −10.2826 | + | 5.93664i | −1.04404 | + | 0.602775i | −0.920974 | − | 0.389624i | \(-0.872605\pi\) |
−0.123063 | + | 0.992399i | \(0.539272\pi\) | |||||||
\(98\) | −16.7160 | + | 0.648019i | −1.68857 | + | 0.0654598i | ||||
\(99\) | −15.3021 | − | 3.05713i | −1.53792 | − | 0.307253i | ||||
\(100\) | 0.752801 | + | 0.113467i | 0.0752801 | + | 0.0113467i | ||||
\(101\) | 0.777256 | + | 0.374307i | 0.0773399 | + | 0.0372449i | 0.472154 | − | 0.881516i | \(-0.343477\pi\) |
−0.394814 | + | 0.918761i | \(0.629191\pi\) | |||||||
\(102\) | −1.07174 | + | 7.83211i | −0.106118 | + | 0.775495i | ||||
\(103\) | 7.60553 | − | 15.7930i | 0.749395 | − | 1.55613i | −0.0795676 | − | 0.996829i | \(-0.525354\pi\) |
0.828962 | − | 0.559305i | \(-0.188932\pi\) | |||||||
\(104\) | 0.188500 | − | 2.51536i | 0.0184839 | − | 0.246651i | ||||
\(105\) | −3.86265 | + | 9.71534i | −0.376956 | + | 0.948120i | ||||
\(106\) | 1.03099 | + | 13.7576i | 0.100139 | + | 1.33626i | ||||
\(107\) | −6.91589 | − | 2.71429i | −0.668584 | − | 0.262400i | 0.00667807 | − | 0.999978i | \(-0.497874\pi\) |
−0.675262 | + | 0.737578i | \(0.735970\pi\) | |||||||
\(108\) | 19.1696 | + | 2.09361i | 1.84459 | + | 0.201458i | ||||
\(109\) | −5.55422 | − | 14.1519i | −0.531998 | − | 1.35551i | −0.904101 | − | 0.427318i | \(-0.859458\pi\) |
0.372103 | − | 0.928191i | \(-0.378637\pi\) | |||||||
\(110\) | 20.7893 | + | 19.2896i | 1.98218 | + | 1.83919i | ||||
\(111\) | 5.03274 | + | 8.44937i | 0.477687 | + | 0.801979i | ||||
\(112\) | 1.49269 | − | 6.03619i | 0.141046 | − | 0.570366i | ||||
\(113\) | 0.119063 | + | 0.789934i | 0.0112005 | + | 0.0743107i | 0.993733 | − | 0.111782i | \(-0.0356557\pi\) |
−0.982532 | + | 0.186092i | \(0.940418\pi\) | |||||||
\(114\) | 19.6848 | + | 9.15191i | 1.84365 | + | 0.857155i | ||||
\(115\) | 1.39171 | + | 0.317649i | 0.129778 | + | 0.0296210i | ||||
\(116\) | −24.2161 | − | 13.9812i | −2.24841 | − | 1.29812i | ||||
\(117\) | 1.22130 | − | 1.39027i | 0.112910 | − | 0.128531i | ||||
\(118\) | −29.3544 | − | 6.69996i | −2.70230 | − | 0.616781i | ||||
\(119\) | 3.07867 | + | 4.00661i | 0.282221 | + | 0.367285i | ||||
\(120\) | −12.7696 | − | 9.90226i | −1.16570 | − | 0.903949i | ||||
\(121\) | 3.57268 | + | 15.6529i | 0.324789 | + | 1.42299i | ||||
\(122\) | 0.0905284 | − | 0.230662i | 0.00819605 | − | 0.0208832i | ||||
\(123\) | −9.35728 | − | 8.44832i | −0.843718 | − | 0.761759i | ||||
\(124\) | 5.13835 | − | 16.6581i | 0.461437 | − | 1.49594i | ||||
\(125\) | 2.43424 | + | 10.6651i | 0.217725 | + | 0.953915i | ||||
\(126\) | 14.7209 | − | 11.9623i | 1.31144 | − | 1.06569i | ||||
\(127\) | −2.48820 | + | 10.9015i | −0.220792 | + | 0.967355i | 0.736091 | + | 0.676882i | \(0.236669\pi\) |
−0.956883 | + | 0.290472i | \(0.906188\pi\) | |||||||
\(128\) | −17.9621 | − | 10.3704i | −1.58764 | − | 0.916624i | ||||
\(129\) | 3.65345 | − | 9.69464i | 0.321669 | − | 0.853566i | ||||
\(130\) | −3.21377 | + | 0.991316i | −0.281866 | + | 0.0869442i | ||||
\(131\) | 12.6483 | − | 6.09110i | 1.10509 | − | 0.532182i | 0.209833 | − | 0.977737i | \(-0.432708\pi\) |
0.895254 | + | 0.445555i | \(0.146994\pi\) | |||||||
\(132\) | −10.2887 | − | 31.8120i | −0.895517 | − | 2.76888i | ||||
\(133\) | 13.0058 | − | 4.83569i | 1.12774 | − | 0.419308i | ||||
\(134\) | 22.7044 | + | 18.1061i | 1.96136 | + | 1.56413i | ||||
\(135\) | −3.10737 | − | 11.4404i | −0.267440 | − | 0.984634i | ||||
\(136\) | −7.26974 | + | 2.85316i | −0.623375 | + | 0.244657i | ||||
\(137\) | 4.50890 | + | 9.36283i | 0.385221 | + | 0.799920i | 0.999938 | + | 0.0111721i | \(0.00355627\pi\) |
−0.614716 | + | 0.788748i | \(0.710729\pi\) | |||||||
\(138\) | −1.92232 | − | 1.73558i | −0.163639 | − | 0.147743i | ||||
\(139\) | 1.88711 | + | 2.76788i | 0.160062 | + | 0.234768i | 0.897889 | − | 0.440222i | \(-0.145100\pi\) |
−0.737827 | + | 0.674990i | \(0.764148\pi\) | |||||||
\(140\) | −22.2075 | + | 2.93890i | −1.87688 | + | 0.248382i | ||||
\(141\) | −3.54844 | + | 2.49067i | −0.298833 | + | 0.209752i | ||||
\(142\) | −5.36742 | + | 3.65945i | −0.450424 | + | 0.307094i | ||||
\(143\) | −3.06595 | − | 0.945721i | −0.256388 | − | 0.0790851i | ||||
\(144\) | 2.75347 | + | 6.49067i | 0.229456 | + | 0.540890i | ||||
\(145\) | −2.56209 | + | 16.9984i | −0.212770 | + | 1.41164i | ||||
\(146\) | 8.21311 | + | 14.2255i | 0.679722 | + | 1.17731i | ||||
\(147\) | 1.17721 | − | 12.0671i | 0.0970944 | − | 0.995275i | ||||
\(148\) | −10.5360 | + | 18.2488i | −0.866050 | + | 1.50004i | ||||
\(149\) | 15.0850 | + | 12.0299i | 1.23581 | + | 0.985526i | 0.999905 | + | 0.0137500i | \(0.00437690\pi\) |
0.235905 | + | 0.971776i | \(0.424195\pi\) | |||||||
\(150\) | −0.239223 | + | 0.814736i | −0.0195325 | + | 0.0665229i | ||||
\(151\) | 2.06253 | + | 9.03652i | 0.167846 | + | 0.735381i | 0.986856 | + | 0.161602i | \(0.0516661\pi\) |
−0.819010 | + | 0.573779i | \(0.805477\pi\) | |||||||
\(152\) | 1.60266 | + | 21.3860i | 0.129993 | + | 1.73464i | ||||
\(153\) | −5.51875 | − | 1.53918i | −0.446165 | − | 0.124436i | ||||
\(154\) | −29.3690 | − | 14.8014i | −2.36662 | − | 1.19273i | ||||
\(155\) | −10.6870 | + | 0.800882i | −0.858403 | + | 0.0643284i | ||||
\(156\) | 3.87721 | + | 0.829617i | 0.310425 | + | 0.0664225i | ||||
\(157\) | 9.87233 | − | 14.4801i | 0.787898 | − | 1.15563i | −0.196642 | − | 0.980475i | \(-0.563004\pi\) |
0.984540 | − | 0.175159i | \(-0.0560439\pi\) | |||||||
\(158\) | 4.75714 | − | 31.5615i | 0.378457 | − | 2.51090i | ||||
\(159\) | −9.98036 | − | 0.611509i | −0.791494 | − | 0.0484958i | ||||
\(160\) | −0.871174 | + | 5.77986i | −0.0688723 | + | 0.456938i | ||||
\(161\) | −1.65276 | + | 0.0939337i | −0.130256 | + | 0.00740301i | ||||
\(162\) | −5.21233 | + | 20.8670i | −0.409519 | + | 1.63947i | ||||
\(163\) | 5.34850 | + | 3.64655i | 0.418927 | + | 0.285620i | 0.754381 | − | 0.656437i | \(-0.227937\pi\) |
−0.335454 | + | 0.942057i | \(0.608890\pi\) | |||||||
\(164\) | 6.01066 | − | 26.3344i | 0.469354 | − | 2.05637i | ||||
\(165\) | −15.8942 | + | 13.0329i | −1.23736 | + | 1.01461i | ||||
\(166\) | 36.1103i | 2.80270i | ||||||||
\(167\) | −8.76265 | − | 8.13055i | −0.678074 | − | 0.629161i | 0.264017 | − | 0.964518i | \(-0.414953\pi\) |
−0.942091 | + | 0.335357i | \(0.891143\pi\) | |||||||
\(168\) | 17.4134 | + | 6.92327i | 1.34347 | + | 0.534142i | ||||
\(169\) | −9.25075 | + | 8.58344i | −0.711596 | + | 0.660265i | ||||
\(170\) | 7.08243 | + | 7.63304i | 0.543197 | + | 0.585428i | ||||
\(171\) | −8.50604 | + | 13.2360i | −0.650473 | + | 1.01218i | ||||
\(172\) | 21.9500 | − | 3.30843i | 1.67367 | − | 0.252266i | ||||
\(173\) | 10.5030 | + | 3.23974i | 0.798526 | + | 0.246313i | 0.667056 | − | 0.745007i | \(-0.267554\pi\) |
0.131470 | + | 0.991320i | \(0.458030\pi\) | |||||||
\(174\) | 19.1120 | − | 24.6462i | 1.44888 | − | 1.86843i | ||||
\(175\) | 0.262860 | + | 0.474853i | 0.0198703 | + | 0.0358955i | ||||
\(176\) | 8.31475 | − | 8.96117i | 0.626748 | − | 0.675474i | ||||
\(177\) | 7.69549 | − | 20.4204i | 0.578429 | − | 1.53489i | ||||
\(178\) | − | 17.1305i | − | 1.28398i | ||||||
\(179\) | 3.28564 | − | 3.54108i | 0.245581 | − | 0.264673i | −0.598217 | − | 0.801334i | \(-0.704124\pi\) |
0.843798 | + | 0.536661i | \(0.180315\pi\) | |||||||
\(180\) | 18.1430 | − | 17.7769i | 1.35230 | − | 1.32502i | ||||
\(181\) | 9.98850 | − | 7.96556i | 0.742439 | − | 0.592075i | −0.177507 | − | 0.984119i | \(-0.556803\pi\) |
0.919946 | + | 0.392044i | \(0.128232\pi\) | |||||||
\(182\) | 3.26155 | − | 2.13860i | 0.241762 | − | 0.158524i | ||||
\(183\) | 0.156738 | + | 0.0876715i | 0.0115864 | + | 0.00648087i | ||||
\(184\) | 0.569343 | − | 2.49445i | 0.0419725 | − | 0.183894i | ||||
\(185\) | 12.8096 | + | 1.93074i | 0.941783 | + | 0.141951i | ||||
\(186\) | 17.6313 | + | 8.19718i | 1.29279 | + | 0.601046i | ||||
\(187\) | 1.48055 | + | 9.82280i | 0.108268 | + | 0.718315i | ||||
\(188\) | −8.36901 | − | 4.03030i | −0.610373 | − | 0.293940i | ||||
\(189\) | 7.14338 | + | 11.7462i | 0.519604 | + | 0.854407i | ||||
\(190\) | 25.7627 | − | 12.4067i | 1.86902 | − | 0.900073i | ||||
\(191\) | 4.05385 | + | 5.94591i | 0.293326 | + | 0.430231i | 0.944407 | − | 0.328777i | \(-0.106637\pi\) |
−0.651081 | + | 0.759008i | \(0.725684\pi\) | |||||||
\(192\) | 11.4875 | − | 14.8139i | 0.829038 | − | 1.06910i | ||||
\(193\) | 1.96127 | + | 26.1714i | 0.141176 | + | 1.88386i | 0.397981 | + | 0.917394i | \(0.369711\pi\) |
−0.256805 | + | 0.966463i | \(0.582670\pi\) | |||||||
\(194\) | 17.6914 | − | 22.1843i | 1.27017 | − | 1.59274i | ||||
\(195\) | −0.396054 | − | 2.40514i | −0.0283620 | − | 0.172236i | ||||
\(196\) | 23.7963 | − | 10.4204i | 1.69974 | − | 0.744315i | ||||
\(197\) | − | 14.2362i | − | 1.01429i | −0.861861 | − | 0.507144i | \(-0.830701\pi\) | ||
0.861861 | − | 0.507144i | \(-0.169299\pi\) | |||||||
\(198\) | 36.7101 | − | 6.55920i | 2.60887 | − | 0.466142i | ||||
\(199\) | −5.46115 | − | 8.01003i | −0.387131 | − | 0.567816i | 0.582364 | − | 0.812928i | \(-0.302128\pi\) |
−0.969495 | + | 0.245112i | \(0.921175\pi\) | |||||||
\(200\) | −0.817838 | + | 0.186666i | −0.0578299 | + | 0.0131993i | ||||
\(201\) | −15.2326 | + | 14.5244i | −1.07442 | + | 1.02447i | ||||
\(202\) | −2.05589 | − | 0.154067i | −0.144652 | − | 0.0108401i | ||||
\(203\) | −2.61536 | − | 19.7628i | −0.183562 | − | 1.38708i | ||||
\(204\) | −2.89420 | − | 11.9298i | −0.202635 | − | 0.835254i | ||||
\(205\) | −16.4204 | + | 2.47498i | −1.14685 | + | 0.172860i | ||||
\(206\) | −3.13049 | + | 41.7735i | −0.218111 | + | 2.91050i | ||||
\(207\) | 1.43517 | − | 1.20983i | 0.0997515 | − | 0.0840892i | ||||
\(208\) | 0.427305 | + | 1.38529i | 0.0296283 | + | 0.0960525i | ||||
\(209\) | 26.9745 | + | 4.06575i | 1.86587 | + | 0.281234i | ||||
\(210\) | 0.110468 | − | 24.9852i | 0.00762303 | − | 1.72414i | ||||
\(211\) | 14.7601 | − | 2.22473i | 1.01613 | − | 0.153157i | 0.380200 | − | 0.924904i | \(-0.375855\pi\) |
0.635930 | + | 0.771747i | \(0.280617\pi\) | |||||||
\(212\) | −9.29562 | − | 19.3025i | −0.638426 | − | 1.32570i | ||||
\(213\) | −2.10036 | − | 4.21381i | −0.143914 | − | 0.288725i | ||||
\(214\) | 17.7549 | 1.21370 | ||||||||
\(215\) | −6.82329 | − | 11.8183i | −0.465345 | − | 0.806001i | ||||
\(216\) | −20.5054 | + | 5.56953i | −1.39521 | + | 0.378958i | ||||
\(217\) | 11.6490 | − | 4.33123i | 0.790785 | − | 0.294023i | ||||
\(218\) | 24.7118 | + | 26.6330i | 1.67370 | + | 1.80382i | ||||
\(219\) | −11.0221 | + | 4.49984i | −0.744802 | + | 0.304071i | ||||
\(220\) | −40.9959 | − | 16.0897i | −2.76394 | − | 1.08477i | ||||
\(221\) | −1.09661 | − | 0.430386i | −0.0737657 | − | 0.0289509i | ||||
\(222\) | −18.5729 | − | 14.4024i | −1.24653 | − | 0.966627i | ||||
\(223\) | 7.63013 | + | 8.22333i | 0.510952 | + | 0.550675i | 0.934854 | − | 0.355033i | \(-0.115530\pi\) |
−0.423902 | + | 0.905708i | \(0.639340\pi\) | |||||||
\(224\) | −0.889287 | − | 6.71983i | −0.0594180 | − | 0.448987i | ||||
\(225\) | −0.561537 | − | 0.251838i | −0.0374358 | − | 0.0167892i | ||||
\(226\) | −0.954552 | − | 1.65333i | −0.0634958 | − | 0.109978i | ||||
\(227\) | −16.4473 | −1.09165 | −0.545824 | − | 0.837900i | \(-0.683783\pi\) | ||||
−0.545824 | + | 0.837900i | \(0.683783\pi\) | |||||||
\(228\) | −33.6478 | − | 2.06164i | −2.22838 | − | 0.136535i | ||||
\(229\) | 7.60896 | + | 15.8002i | 0.502814 | + | 1.04410i | 0.985714 | + | 0.168429i | \(0.0538694\pi\) |
−0.482899 | + | 0.875676i | \(0.660416\pi\) | |||||||
\(230\) | −3.37334 | + | 0.508449i | −0.222431 | + | 0.0335261i | ||||
\(231\) | 13.5144 | − | 19.6348i | 0.889180 | − | 1.29188i | ||||
\(232\) | 30.4672 | + | 4.59220i | 2.00027 | + | 0.301493i | ||||
\(233\) | 6.03806 | + | 19.5749i | 0.395567 | + | 1.28240i | 0.906292 | + | 0.422652i | \(0.138901\pi\) |
−0.510726 | + | 0.859744i | \(0.670623\pi\) | |||||||
\(234\) | −1.50308 | + | 4.15911i | −0.0982592 | + | 0.271889i | ||||
\(235\) | −0.426747 | + | 5.69455i | −0.0278379 | + | 0.371471i | ||||
\(236\) | 46.2347 | − | 6.96876i | 3.00962 | − | 0.453627i | ||||
\(237\) | 22.1962 | + | 6.51727i | 1.44180 | + | 0.423342i | ||||
\(238\) | −10.3469 | − | 6.22514i | −0.670692 | − | 0.403516i | ||||
\(239\) | −26.8227 | − | 2.01008i | −1.73502 | − | 0.130022i | −0.830655 | − | 0.556788i | \(-0.812034\pi\) |
−0.904362 | + | 0.426766i | \(0.859653\pi\) | |||||||
\(240\) | 8.91091 | + | 2.61643i | 0.575197 | + | 0.168890i | ||||
\(241\) | 16.6552 | − | 3.80143i | 1.07285 | − | 0.244872i | 0.350617 | − | 0.936519i | \(-0.385972\pi\) |
0.722236 | + | 0.691647i | \(0.243115\pi\) | |||||||
\(242\) | −21.6142 | − | 31.7022i | −1.38941 | − | 2.03789i | ||||
\(243\) | −14.4720 | − | 5.79327i | −0.928378 | − | 0.371639i | ||||
\(244\) | 0.384796i | 0.0246341i | ||||||||
\(245\) | −11.3079 | − | 11.2775i | −0.722438 | − | 0.720494i | ||||
\(246\) | 28.1923 | + | 10.6244i | 1.79748 | + | 0.677385i | ||||
\(247\) | −2.01701 | + | 2.52925i | −0.128339 | + | 0.160932i | ||||
\(248\) | 1.43547 | + | 19.1550i | 0.0911525 | + | 1.21635i | ||||
\(249\) | −25.9300 | − | 3.54824i | −1.64325 | − | 0.224860i | ||||
\(250\) | −14.7268 | − | 21.6002i | −0.931404 | − | 1.36612i | ||||
\(251\) | −5.01961 | + | 2.41732i | −0.316835 | + | 0.152580i | −0.585542 | − | 0.810642i | \(-0.699118\pi\) |
0.268706 | + | 0.963222i | \(0.413404\pi\) | |||||||
\(252\) | −14.4932 | + | 25.6439i | −0.912984 | + | 1.61542i | ||||
\(253\) | −2.93223 | − | 1.41209i | −0.184348 | − | 0.0887772i | ||||
\(254\) | −3.98277 | − | 26.4240i | −0.249901 | − | 1.65799i | ||||
\(255\) | −6.17704 | + | 4.33570i | −0.386821 | + | 0.271512i | ||||
\(256\) | 27.6084 | + | 4.16130i | 1.72553 | + | 0.260081i | ||||
\(257\) | −1.65977 | + | 7.27194i | −0.103534 | + | 0.453611i | 0.896412 | + | 0.443221i | \(0.146164\pi\) |
−0.999946 | + | 0.0103899i | \(0.996693\pi\) | |||||||
\(258\) | 0.336836 | + | 24.7565i | 0.0209705 | + | 1.54127i | ||||
\(259\) | −14.8928 | + | 1.97088i | −0.925396 | + | 0.122465i | ||||
\(260\) | 4.08328 | − | 3.25630i | 0.253234 | − | 0.201947i | ||||
\(261\) | 15.8199 | + | 16.1457i | 0.979229 | + | 0.999391i | ||||
\(262\) | −22.8193 | + | 24.5934i | −1.40978 | + | 1.51938i | ||||
\(263\) | − | 7.15831i | − | 0.441400i | −0.975342 | − | 0.220700i | \(-0.929166\pi\) | ||
0.975342 | − | 0.220700i | \(-0.0708342\pi\) | |||||||
\(264\) | 23.3597 | + | 28.4882i | 1.43769 | + | 1.75333i | ||||
\(265\) | −8.95849 | + | 9.65496i | −0.550316 | + | 0.593099i | ||||
\(266\) | −24.7106 | + | 22.1127i | −1.51510 | + | 1.35581i | ||||
\(267\) | 12.3010 | + | 1.68326i | 0.752810 | + | 0.103014i | ||||
\(268\) | −43.0928 | − | 13.2924i | −2.63231 | − | 0.811961i | ||||
\(269\) | −13.0298 | + | 1.96393i | −0.794440 | + | 0.119743i | −0.533708 | − | 0.845669i | \(-0.679202\pi\) |
−0.260732 | + | 0.965411i | \(0.583964\pi\) | |||||||
\(270\) | 16.9012 | + | 22.7373i | 1.02857 | + | 1.38375i | ||||
\(271\) | −4.58657 | − | 4.94315i | −0.278614 | − | 0.300275i | 0.578205 | − | 0.815892i | \(-0.303753\pi\) |
−0.856819 | + | 0.515617i | \(0.827563\pi\) | |||||||
\(272\) | 3.29021 | − | 3.05287i | 0.199498 | − | 0.185107i | ||||
\(273\) | 1.21520 | + | 2.55219i | 0.0735471 | + | 0.154465i | ||||
\(274\) | −18.2051 | − | 16.8919i | −1.09981 | − | 1.02047i | ||||
\(275\) | 1.06704i | 0.0643449i | ||||||||
\(276\) | 3.76349 | + | 1.41828i | 0.226535 | + | 0.0853704i | ||||
\(277\) | −4.32852 | + | 18.9645i | −0.260075 | + | 1.13946i | 0.661094 | + | 0.750303i | \(0.270092\pi\) |
−0.921169 | + | 0.389162i | \(0.872765\pi\) | |||||||
\(278\) | −6.61466 | − | 4.50980i | −0.396721 | − | 0.270480i | ||||
\(279\) | −7.61868 | + | 11.8552i | −0.456119 | + | 0.709751i | ||||
\(280\) | 21.5956 | − | 11.9544i | 1.29058 | − | 0.714414i | ||||
\(281\) | 2.91832 | − | 19.3618i | 0.174092 | − | 1.15503i | −0.715615 | − | 0.698495i | \(-0.753853\pi\) |
0.889707 | − | 0.456532i | \(-0.150909\pi\) | |||||||
\(282\) | 5.71927 | − | 8.63885i | 0.340578 | − | 0.514436i | ||||
\(283\) | −1.60917 | + | 10.6762i | −0.0956553 | + | 0.634632i | 0.888707 | + | 0.458476i | \(0.151604\pi\) |
−0.984362 | + | 0.176156i | \(0.943634\pi\) | |||||||
\(284\) | 5.68277 | − | 8.33509i | 0.337210 | − | 0.494597i | ||||
\(285\) | 6.37747 | + | 19.7187i | 0.377769 | + | 1.16803i | ||||
\(286\) | 7.64621 | − | 0.573004i | 0.452130 | − | 0.0338824i | ||||
\(287\) | 17.4980 | − | 8.04132i | 1.03288 | − | 0.474664i | ||||
\(288\) | 5.37916 | + | 5.48992i | 0.316970 | + | 0.323496i | ||||
\(289\) | −0.997848 | − | 13.3154i | −0.0586970 | − | 0.783257i | ||||
\(290\) | −9.14149 | − | 40.0515i | −0.536807 | − | 2.35190i | ||||
\(291\) | 14.1916 | + | 14.8836i | 0.831929 | + | 0.872493i | ||||
\(292\) | −19.9432 | − | 15.9042i | −1.16709 | − | 0.930723i | ||||
\(293\) | −8.56348 | + | 14.8324i | −0.500284 | + | 0.866518i | 0.499716 | + | 0.866189i | \(0.333438\pi\) |
−1.00000 | 0.000328097i | \(0.999896\pi\) | ||||||||
\(294\) | 7.91683 | + | 27.8722i | 0.461719 | + | 1.62554i | ||||
\(295\) | −14.3723 | − | 24.8936i | −0.836789 | − | 1.44936i | ||||
\(296\) | 3.46059 | − | 22.9595i | 0.201143 | − | 1.33449i | ||||
\(297\) | 1.10284 | + | 27.0052i | 0.0639933 | + | 1.56700i | ||||
\(298\) | −44.0612 | − | 13.5911i | −2.55240 | − | 0.787310i | ||||
\(299\) | 0.318890 | − | 0.217415i | 0.0184419 | − | 0.0125734i | ||||
\(300\) | −0.116421 | − | 1.31347i | −0.00672154 | − | 0.0758331i | ||||
\(301\) | 11.4050 | + | 10.9714i | 0.657372 | + | 0.632382i | ||||
\(302\) | −12.4780 | − | 18.3018i | −0.718027 | − | 1.05315i | ||||
\(303\) | 0.312646 | − | 1.46115i | 0.0179610 | − | 0.0839407i | ||||
\(304\) | −5.34786 | − | 11.1050i | −0.306721 | − | 0.636913i | ||||
\(305\) | 0.220208 | − | 0.0864251i | 0.0126091 | − | 0.00494869i | ||||
\(306\) | 13.6209 | − | 1.39430i | 0.778652 | − | 0.0797071i | ||||
\(307\) | −4.73908 | − | 3.77929i | −0.270474 | − | 0.215696i | 0.478855 | − | 0.877894i | \(-0.341052\pi\) |
−0.749328 | + | 0.662199i | \(0.769624\pi\) | |||||||
\(308\) | 50.8520 | + | 4.73401i | 2.89756 | + | 0.269745i | ||||
\(309\) | −29.6890 | − | 6.35264i | −1.68895 | − | 0.361389i | ||||
\(310\) | 23.0751 | − | 11.1124i | 1.31058 | − | 0.631141i | ||||
\(311\) | −8.58728 | + | 2.64882i | −0.486940 | + | 0.150201i | −0.528497 | − | 0.848935i | \(-0.677244\pi\) |
0.0415574 | + | 0.999136i | \(0.486768\pi\) | |||||||
\(312\) | −4.31089 | + | 0.709871i | −0.244056 | + | 0.0401886i | ||||
\(313\) | −14.9634 | − | 8.63913i | −0.845782 | − | 0.488312i | 0.0134436 | − | 0.999910i | \(-0.495721\pi\) |
−0.859225 | + | 0.511597i | \(0.829054\pi\) | |||||||
\(314\) | −9.31958 | + | 40.8317i | −0.525934 | + | 2.30427i | ||||
\(315\) | 17.9304 | + | 2.53440i | 1.01027 | + | 0.142797i | ||||
\(316\) | 11.0294 | + | 48.3229i | 0.620452 | + | 2.71838i | ||||
\(317\) | 1.29682 | − | 4.20419i | 0.0728367 | − | 0.236131i | −0.911833 | − | 0.410562i | \(-0.865333\pi\) |
0.984669 | + | 0.174431i | \(0.0558087\pi\) | |||||||
\(318\) | 22.7362 | − | 7.35340i | 1.27498 | − | 0.412358i | ||||
\(319\) | 14.3184 | − | 36.4827i | 0.801678 | − | 2.04264i | ||||
\(320\) | −5.49460 | − | 24.0734i | −0.307157 | − | 1.34574i | ||||
\(321\) | −1.74462 | + | 12.7494i | −0.0973749 | + | 0.711601i | ||||
\(322\) | 3.59471 | − | 1.65197i | 0.200325 | − | 0.0920608i | ||||
\(323\) | 9.76478 | + | 2.22875i | 0.543327 | + | 0.124011i | ||||
\(324\) | −4.30397 | − | 33.1216i | −0.239109 | − | 1.84009i | ||||
\(325\) | −0.109587 | − | 0.0632699i | −0.00607877 | − | 0.00350958i | ||||
\(326\) | −15.0820 | − | 3.44238i | −0.835317 | − | 0.190656i | ||||
\(327\) | −21.5528 | + | 15.1280i | −1.19187 | + | 0.836582i | ||||
\(328\) | 4.43606 | + | 29.4314i | 0.244941 | + | 1.62507i | ||||
\(329\) | −1.35698 | − | 6.48177i | −0.0748128 | − | 0.357351i | ||||
\(330\) | 23.9794 | − | 42.8700i | 1.32002 | − | 2.35992i | ||||
\(331\) | −12.6931 | − | 11.7774i | −0.697673 | − | 0.647346i | 0.249386 | − | 0.968404i | \(-0.419771\pi\) |
−0.947060 | + | 0.321058i | \(0.895962\pi\) | |||||||
\(332\) | −20.4868 | − | 52.1995i | −1.12436 | − | 2.86482i | ||||
\(333\) | 12.1670 | − | 11.9216i | 0.666750 | − | 0.653299i | ||||
\(334\) | 26.5921 | + | 10.4366i | 1.45505 | + | 0.571067i | ||||
\(335\) | 2.07180 | + | 27.6462i | 0.113194 | + | 1.51048i | ||||
\(336\) | −10.7698 | − | 0.0476171i | −0.587541 | − | 0.00259773i | ||||
\(337\) | 1.52789 | − | 20.3883i | 0.0832296 | − | 1.11062i | −0.786664 | − | 0.617382i | \(-0.788193\pi\) |
0.869893 | − | 0.493240i | \(-0.164188\pi\) | |||||||
\(338\) | 13.0851 | − | 27.1715i | 0.711735 | − | 1.47793i | ||||
\(339\) | 1.28102 | − | 0.522984i | 0.0695752 | − | 0.0284046i | ||||
\(340\) | −14.5686 | − | 7.01586i | −0.790092 | − | 0.380488i | ||||
\(341\) | 24.1605 | + | 3.64161i | 1.30837 | + | 0.197204i | ||||
\(342\) | 7.36633 | − | 36.8712i | 0.398326 | − | 1.99377i | ||||
\(343\) | 16.2274 | + | 8.92583i | 0.876199 | + | 0.481949i | ||||
\(344\) | −21.1827 | + | 12.2298i | −1.14209 | + | 0.659387i | ||||
\(345\) | −0.0336377 | − | 2.47228i | −0.00181099 | − | 0.133103i | ||||
\(346\) | −26.1935 | + | 1.96293i | −1.40817 | + | 0.105528i | ||||
\(347\) | 23.5060 | + | 25.3334i | 1.26187 | + | 1.35997i | 0.904769 | + | 0.425902i | \(0.140043\pi\) |
0.357097 | + | 0.934067i | \(0.383766\pi\) | |||||||
\(348\) | −13.6447 | + | 46.4705i | −0.731434 | + | 2.49108i | ||||
\(349\) | 14.1272 | − | 20.7207i | 0.756209 | − | 1.10916i | −0.234361 | − | 0.972150i | \(-0.575300\pi\) |
0.990570 | − | 0.137006i | \(-0.0437479\pi\) | |||||||
\(350\) | −0.999346 | − | 0.826857i | −0.0534173 | − | 0.0441973i | ||||
\(351\) | −2.83887 | − | 1.48800i | −0.151528 | − | 0.0794238i | ||||
\(352\) | 4.86861 | − | 12.4050i | 0.259498 | − | 0.661190i | ||||
\(353\) | −29.5901 | + | 14.2499i | −1.57492 | + | 0.758443i | −0.998284 | − | 0.0585549i | \(-0.981351\pi\) |
−0.576640 | + | 0.816998i | \(0.695636\pi\) | |||||||
\(354\) | 0.709498 | + | 52.1461i | 0.0377094 | + | 2.77153i | ||||
\(355\) | −6.04628 | − | 1.38002i | −0.320903 | − | 0.0732441i | ||||
\(356\) | 9.71880 | + | 24.7631i | 0.515096 | + | 1.31244i | ||||
\(357\) | 5.48683 | − | 6.81821i | 0.290394 | − | 0.360858i | ||||
\(358\) | −4.21755 | + | 10.7461i | −0.222905 | + | 0.567952i | ||||
\(359\) | −6.56260 | + | 9.62556i | −0.346361 | + | 0.508018i | −0.959405 | − | 0.282030i | \(-0.908992\pi\) |
0.613045 | + | 0.790048i | \(0.289944\pi\) | |||||||
\(360\) | −11.4532 | + | 25.5378i | −0.603636 | + | 1.34596i | ||||
\(361\) | 4.25240 | − | 7.36537i | 0.223810 | − | 0.387651i | ||||
\(362\) | −15.2657 | + | 26.4410i | −0.802349 | + | 1.38971i | ||||
\(363\) | 24.8885 | − | 12.4056i | 1.30631 | − | 0.651124i | ||||
\(364\) | −3.50145 | + | 4.94188i | −0.183526 | + | 0.259025i | ||||
\(365\) | −4.62226 | + | 14.9850i | −0.241940 | + | 0.784351i | ||||
\(366\) | −0.425225 | − | 0.0581874i | −0.0222268 | − | 0.00304150i | ||||
\(367\) | −1.66471 | + | 1.32756i | −0.0868971 | + | 0.0692981i | −0.665975 | − | 0.745974i | \(-0.731984\pi\) |
0.579078 | + | 0.815272i | \(0.303413\pi\) | |||||||
\(368\) | 0.219166 | + | 1.45407i | 0.0114248 | + | 0.0757987i | ||||
\(369\) | −10.3993 | + | 19.2003i | −0.541367 | + | 0.999529i | ||||
\(370\) | −30.1820 | + | 6.88884i | −1.56909 | + | 0.358134i | ||||
\(371\) | 6.87405 | − | 13.6396i | 0.356883 | − | 0.708131i | ||||
\(372\) | −30.1376 | − | 1.84657i | −1.56256 | − | 0.0957401i | ||||
\(373\) | −4.68702 | −0.242685 | −0.121342 | − | 0.992611i | \(-0.538720\pi\) | ||||
−0.121342 | + | 0.992611i | \(0.538720\pi\) | |||||||
\(374\) | −11.8698 | − | 20.5591i | −0.613774 | − | 1.06309i | ||||
\(375\) | 16.9577 | − | 8.45251i | 0.875693 | − | 0.436486i | ||||
\(376\) | 10.2067 | + | 0.764886i | 0.526370 | + | 0.0394460i | ||||
\(377\) | 2.89783 | + | 3.63376i | 0.149246 | + | 0.187148i | ||||
\(378\) | −26.1466 | − | 19.8937i | −1.34484 | − | 1.02322i | ||||
\(379\) | 5.42380 | − | 6.80123i | 0.278602 | − | 0.349356i | −0.622767 | − | 0.782407i | \(-0.713992\pi\) |
0.901369 | + | 0.433051i | \(0.142563\pi\) | |||||||
\(380\) | −30.2026 | + | 32.5507i | −1.54936 | + | 1.66982i | ||||
\(381\) | 19.3658 | − | 0.263490i | 0.992140 | − | 0.0134990i | ||||
\(382\) | −14.2095 | − | 9.68788i | −0.727021 | − | 0.495675i | ||||
\(383\) | −3.82941 | − | 4.80193i | −0.195674 | − | 0.245367i | 0.674309 | − | 0.738449i | \(-0.264442\pi\) |
−0.869983 | + | 0.493082i | \(0.835870\pi\) | |||||||
\(384\) | −10.1208 | + | 34.4690i | −0.516477 | + | 1.75899i | ||||
\(385\) | −8.71222 | − | 30.1644i | −0.444016 | − | 1.53732i | ||||
\(386\) | −27.2130 | − | 56.5084i | −1.38511 | − | 2.87620i | ||||
\(387\) | −17.8102 | − | 2.19073i | −0.905342 | − | 0.111361i | ||||
\(388\) | −12.9879 | + | 42.1056i | −0.659359 | + | 2.13759i | ||||
\(389\) | 8.41827 | − | 17.4807i | 0.426823 | − | 0.886307i | −0.571037 | − | 0.820924i | \(-0.693459\pi\) |
0.997860 | − | 0.0653829i | \(-0.0208269\pi\) | |||||||
\(390\) | 2.98097 | + | 5.00469i | 0.150947 | + | 0.253422i | ||||
\(391\) | −1.03485 | − | 0.597471i | −0.0523346 | − | 0.0302154i | ||||
\(392\) | −20.2134 | + | 20.2679i | −1.02093 | + | 1.02368i | ||||
\(393\) | −15.4177 | − | 18.8026i | −0.777720 | − | 0.948466i | ||||
\(394\) | 12.4295 | + | 31.6699i | 0.626189 | + | 1.59550i | ||||
\(395\) | 25.1766 | − | 17.1651i | 1.26677 | − | 0.863671i | ||||
\(396\) | −49.3453 | + | 30.3088i | −2.47969 | + | 1.52307i | ||||
\(397\) | 3.83629 | − | 0.287490i | 0.192538 | − | 0.0144287i | 0.0218879 | − | 0.999760i | \(-0.493032\pi\) |
0.170650 | + | 0.985332i | \(0.445413\pi\) | |||||||
\(398\) | 19.1423 | + | 13.0510i | 0.959519 | + | 0.654189i | ||||
\(399\) | −13.4505 | − | 19.9169i | −0.673369 | − | 0.997094i | ||||
\(400\) | 0.398347 | − | 0.271588i | 0.0199173 | − | 0.0135794i | ||||
\(401\) | −22.1657 | + | 17.6766i | −1.10690 | + | 0.882727i | −0.993836 | − | 0.110861i | \(-0.964639\pi\) |
−0.113068 | + | 0.993587i | \(0.536068\pi\) | |||||||
\(402\) | 21.2053 | − | 45.6103i | 1.05762 | − | 2.27484i | ||||
\(403\) | −1.80659 | + | 2.26539i | −0.0899927 | + | 0.112847i | ||||
\(404\) | 3.05931 | − | 0.943672i | 0.152206 | − | 0.0469494i | ||||
\(405\) | −17.9879 | + | 9.90215i | −0.893825 | + | 0.492042i | ||||
\(406\) | 23.0728 | + | 41.6808i | 1.14509 | + | 2.06858i | ||||
\(407\) | −27.4927 | − | 10.7901i | −1.36276 | − | 0.534844i | ||||
\(408\) | 7.77115 | + | 11.0715i | 0.384729 | + | 0.548121i | ||||
\(409\) | −5.42021 | − | 17.5719i | −0.268012 | − | 0.868874i | −0.985113 | − | 0.171905i | \(-0.945008\pi\) |
0.717101 | − | 0.696969i | \(-0.245469\pi\) | |||||||
\(410\) | 34.3680 | − | 19.8424i | 1.69731 | − | 0.979944i | ||||
\(411\) | 13.9185 | − | 11.4129i | 0.686550 | − | 0.562955i | ||||
\(412\) | −19.1744 | − | 62.1620i | −0.944657 | − | 3.06250i | ||||
\(413\) | 24.0230 | + | 23.1098i | 1.18209 | + | 1.13716i | ||||
\(414\) | −2.13639 | + | 3.94443i | −0.104998 | + | 0.193858i | ||||
\(415\) | −25.2709 | + | 23.4480i | −1.24050 | + | 1.15102i | ||||
\(416\) | 0.985331 | + | 1.23557i | 0.0483098 | + | 0.0605786i | ||||
\(417\) | 3.88835 | − | 4.30670i | 0.190413 | − | 0.210900i | ||||
\(418\) | −63.5572 | + | 14.5065i | −3.10869 | + | 0.709537i | ||||
\(419\) | 18.5000 | + | 5.70650i | 0.903785 | + | 0.278781i | 0.711606 | − | 0.702579i | \(-0.247968\pi\) |
0.192179 | + | 0.981360i | \(0.438444\pi\) | |||||||
\(420\) | 14.0154 | + | 36.1802i | 0.683881 | + | 1.76541i | ||||
\(421\) | 24.5836 | − | 7.58303i | 1.19813 | − | 0.369574i | 0.369425 | − | 0.929260i | \(-0.379555\pi\) |
0.828705 | + | 0.559686i | \(0.189078\pi\) | |||||||
\(422\) | −30.8930 | + | 17.8361i | −1.50385 | + | 0.868246i | ||||
\(423\) | 5.64138 | + | 4.95575i | 0.274293 | + | 0.240957i | ||||
\(424\) | 17.3052 | + | 16.0569i | 0.840414 | + | 0.779790i | ||||
\(425\) | −0.0292775 | + | 0.390681i | −0.00142017 | + | 0.0189508i | ||||
\(426\) | 8.35149 | + | 7.54023i | 0.404631 | + | 0.365325i | ||||
\(427\) | −0.217529 | + | 0.167149i | −0.0105270 | + | 0.00808888i | ||||
\(428\) | −25.6657 | + | 10.0730i | −1.24060 | + | 0.486899i | ||||
\(429\) | −0.339864 | + | 5.54687i | −0.0164088 | + | 0.267806i | ||||
\(430\) | 25.4975 | + | 20.3336i | 1.22960 | + | 0.980573i | ||||
\(431\) | −19.6353 | − | 1.47146i | −0.945797 | − | 0.0708777i | −0.407106 | − | 0.913381i | \(-0.633462\pi\) |
−0.538691 | + | 0.842503i | \(0.681081\pi\) | |||||||
\(432\) | 9.80087 | − | 7.28521i | 0.471545 | − | 0.350510i | ||||
\(433\) | −2.53480 | + | 5.26356i | −0.121814 | + | 0.252950i | −0.952955 | − | 0.303112i | \(-0.901974\pi\) |
0.831140 | + | 0.556063i | \(0.187689\pi\) | |||||||
\(434\) | −22.1328 | + | 19.8059i | −1.06241 | + | 0.950712i | ||||
\(435\) | 29.6583 | − | 2.62879i | 1.42201 | − | 0.126041i | ||||
\(436\) | −50.8323 | − | 24.4796i | −2.43443 | − | 1.17236i | ||||
\(437\) | −2.40547 | + | 2.23195i | −0.115069 | + | 0.106769i | ||||
\(438\) | 20.5909 | − | 19.6336i | 0.983871 | − | 0.938129i | ||||
\(439\) | 2.08369 | − | 0.817788i | 0.0994491 | − | 0.0390309i | −0.315095 | − | 0.949060i | \(-0.602036\pi\) |
0.414544 | + | 0.910029i | \(0.363941\pi\) | |||||||
\(440\) | 48.5273 | 2.31345 | ||||||||
\(441\) | −20.7923 | + | 2.94615i | −0.990110 | + | 0.140293i | ||||
\(442\) | 2.81527 | 0.133909 | ||||||||
\(443\) | 18.2465 | − | 7.16123i | 0.866919 | − | 0.340240i | 0.110143 | − | 0.993916i | \(-0.464869\pi\) |
0.756775 | + | 0.653675i | \(0.226774\pi\) | |||||||
\(444\) | 35.0193 | + | 10.2824i | 1.66194 | + | 0.487980i | ||||
\(445\) | 11.9884 | − | 11.1236i | 0.568303 | − | 0.527308i | ||||
\(446\) | −24.1537 | − | 11.6318i | −1.14371 | − | 0.550782i | ||||
\(447\) | 14.0890 | − | 30.3039i | 0.666385 | − | 1.43333i | ||||
\(448\) | 13.8682 | + | 25.0527i | 0.655210 | + | 1.18363i | ||||
\(449\) | 4.07501 | − | 8.46185i | 0.192312 | − | 0.399339i | −0.782409 | − | 0.622764i | \(-0.786010\pi\) |
0.974721 | + | 0.223425i | \(0.0717238\pi\) | |||||||
\(450\) | 1.46907 | + | 0.0699653i | 0.0692527 | + | 0.00329820i | ||||
\(451\) | 37.7535 | + | 2.82924i | 1.77774 | + | 0.133224i | ||||
\(452\) | 2.31786 | + | 1.84843i | 0.109023 | + | 0.0869429i | ||||
\(453\) | 14.3682 | − | 7.16180i | 0.675079 | − | 0.336491i | ||||
\(454\) | 36.5887 | − | 14.3600i | 1.71719 | − | 0.673948i | ||||
\(455\) | 3.61452 | + | 0.893832i | 0.169451 | + | 0.0419035i | ||||
\(456\) | 35.3430 | − | 11.4307i | 1.65509 | − | 0.535293i | ||||
\(457\) | −1.22110 | + | 16.2944i | −0.0571205 | + | 0.762220i | 0.892944 | + | 0.450167i | \(0.148636\pi\) |
−0.950065 | + | 0.312053i | \(0.898983\pi\) | |||||||
\(458\) | −30.7219 | − | 28.5057i | −1.43554 | − | 1.33198i | ||||
\(459\) | −0.337182 | + | 9.91784i | −0.0157383 | + | 0.462925i | ||||
\(460\) | 4.58789 | − | 2.64882i | 0.213912 | − | 0.123502i | ||||
\(461\) | −23.2848 | + | 7.18240i | −1.08448 | + | 0.334518i | −0.784944 | − | 0.619567i | \(-0.787308\pi\) |
−0.299536 | + | 0.954085i | \(0.596832\pi\) | |||||||
\(462\) | −12.9210 | + | 55.4789i | −0.601140 | + | 2.58111i | ||||
\(463\) | 15.0063 | + | 4.62883i | 0.697402 | + | 0.215120i | 0.623131 | − | 0.782118i | \(-0.285861\pi\) |
0.0742719 | + | 0.997238i | \(0.476337\pi\) | |||||||
\(464\) | −17.2641 | + | 3.94042i | −0.801466 | + | 0.182929i | ||||
\(465\) | 5.71217 | + | 17.6616i | 0.264895 | + | 0.819038i | ||||
\(466\) | −30.5229 | − | 38.2745i | −1.41395 | − | 1.77303i | ||||
\(467\) | −24.4592 | + | 22.6948i | −1.13184 | + | 1.05019i | −0.133586 | + | 0.991037i | \(0.542649\pi\) |
−0.998249 | + | 0.0591522i | \(0.981160\pi\) | |||||||
\(468\) | −0.186844 | − | 6.86499i | −0.00863687 | − | 0.317334i | ||||
\(469\) | −11.2044 | − | 30.1347i | −0.517373 | − | 1.39149i | ||||
\(470\) | −4.02251 | − | 13.0407i | −0.185545 | − | 0.601521i | ||||
\(471\) | −28.4046 | − | 10.7044i | −1.30882 | − | 0.493231i | ||||
\(472\) | −44.6183 | + | 25.7604i | −2.05372 | + | 1.18572i | ||||
\(473\) | 9.17058 | + | 29.7303i | 0.421664 | + | 1.36700i | ||||
\(474\) | −55.0678 | + | 4.88099i | −2.52935 | + | 0.224191i | ||||
\(475\) | 1.00149 | + | 0.393057i | 0.0459517 | + | 0.0180347i | ||||
\(476\) | 18.4889 | + | 3.12857i | 0.847435 | + | 0.143398i | ||||
\(477\) | 3.04623 | + | 17.0489i | 0.139477 | + | 0.780616i | ||||
\(478\) | 61.4247 | − | 18.9470i | 2.80950 | − | 0.866617i | ||||
\(479\) | −23.9697 | + | 30.0571i | −1.09520 | + | 1.37334i | −0.173779 | + | 0.984785i | \(0.555598\pi\) |
−0.921424 | + | 0.388558i | \(0.872973\pi\) | |||||||
\(480\) | 10.0846 | − | 0.893854i | 0.460295 | − | 0.0407987i | ||||
\(481\) | 2.73833 | − | 2.18374i | 0.124857 | − | 0.0995702i | ||||
\(482\) | −33.7320 | + | 22.9981i | −1.53645 | + | 1.04754i | ||||
\(483\) | 0.833024 | + | 2.74361i | 0.0379039 | + | 0.124838i | ||||
\(484\) | 49.2305 | + | 33.5648i | 2.23775 | + | 1.52567i | ||||
\(485\) | 27.0129 | − | 2.02434i | 1.22659 | − | 0.0919204i | ||||
\(486\) | 37.2524 | + | 0.252360i | 1.68980 | + | 0.0114473i | ||||
\(487\) | 15.4696 | − | 10.5470i | 0.700995 | − | 0.477930i | −0.159625 | − | 0.987178i | \(-0.551029\pi\) |
0.860620 | + | 0.509248i | \(0.170076\pi\) | |||||||
\(488\) | −0.154905 | − | 0.394692i | −0.00701223 | − | 0.0178669i | ||||
\(489\) | 3.95387 | − | 10.4918i | 0.178800 | − | 0.474456i | ||||
\(490\) | 35.0019 | + | 15.2151i | 1.58123 | + | 0.687348i | ||||
\(491\) | −12.8248 | − | 7.40437i | −0.578773 | − | 0.334155i | 0.181873 | − | 0.983322i | \(-0.441784\pi\) |
−0.760646 | + | 0.649167i | \(0.775117\pi\) | |||||||
\(492\) | −46.7813 | + | 0.636504i | −2.10906 | + | 0.0286958i | ||||
\(493\) | 6.24350 | − | 12.9648i | 0.281193 | − | 0.583904i | ||||
\(494\) | 2.27877 | − | 7.38759i | 0.102527 | − | 0.332383i | ||||
\(495\) | 28.4278 | + | 21.4315i | 1.27773 | + | 0.963275i | ||||
\(496\) | −4.78997 | − | 9.94648i | −0.215076 | − | 0.446610i | ||||
\(497\) | 7.18039 | − | 0.408094i | 0.322085 | − | 0.0183055i | ||||
\(498\) | 60.7817 | − | 14.7458i | 2.72369 | − | 0.660776i | ||||
\(499\) | 2.13779 | + | 2.68071i | 0.0957007 | + | 0.120005i | 0.827376 | − | 0.561648i | \(-0.189833\pi\) |
−0.731675 | + | 0.681653i | \(0.761261\pi\) | |||||||
\(500\) | 33.5431 | + | 22.8693i | 1.50009 | + | 1.02275i | ||||
\(501\) | −10.1073 | + | 18.0697i | −0.451560 | + | 0.807293i | ||||
\(502\) | 9.05609 | − | 9.76014i | 0.404193 | − | 0.435616i | ||||
\(503\) | −7.17705 | + | 8.99973i | −0.320009 | + | 0.401278i | −0.915653 | − | 0.401970i | \(-0.868325\pi\) |
0.595644 | + | 0.803249i | \(0.296897\pi\) | |||||||
\(504\) | 4.54256 | − | 32.1378i | 0.202342 | − | 1.43153i | ||||
\(505\) | −1.22716 | − | 1.53881i | −0.0546078 | − | 0.0684760i | ||||
\(506\) | 7.75592 | + | 0.581226i | 0.344793 | + | 0.0258386i | ||||
\(507\) | 18.2255 | + | 12.0660i | 0.809421 | + | 0.535870i | ||||
\(508\) | 20.7487 | + | 35.9378i | 0.920574 | + | 1.59448i | ||||
\(509\) | −11.8892 | −0.526979 | −0.263490 | − | 0.964662i | \(-0.584873\pi\) | ||||
−0.263490 | + | 0.964662i | \(0.584873\pi\) | |||||||
\(510\) | 9.95598 | − | 15.0383i | 0.440858 | − | 0.665908i | ||||
\(511\) | 0.327803 | − | 18.1826i | 0.0145011 | − | 0.804350i | ||||
\(512\) | −24.6092 | + | 5.61690i | −1.08759 | + | 0.248234i | ||||
\(513\) | 25.7526 | + | 8.91261i | 1.13700 | + | 0.393501i | ||||
\(514\) | −2.65673 | − | 17.6263i | −0.117184 | − | 0.777462i | ||||
\(515\) | −31.2669 | + | 24.9345i | −1.37779 | + | 1.09875i | ||||
\(516\) | −14.5322 | − | 35.5958i | −0.639746 | − | 1.56702i | ||||
\(517\) | 3.83750 | − | 12.4409i | 0.168773 | − | 0.547148i | ||||
\(518\) | 31.4098 | − | 17.3872i | 1.38007 | − | 0.763951i | ||||
\(519\) | 1.16426 | − | 19.0018i | 0.0511056 | − | 0.834088i | ||||
\(520\) | −2.87741 | + | 4.98382i | −0.126183 | + | 0.218555i | ||||
\(521\) | 12.6917 | − | 21.9826i | 0.556032 | − | 0.963075i | −0.441791 | − | 0.897118i | \(-0.645657\pi\) |
0.997822 | − | 0.0659572i | \(-0.0210101\pi\) | |||||||
\(522\) | −49.2896 | − | 22.1054i | −2.15735 | − | 0.967526i | ||||
\(523\) | −14.7381 | + | 21.6169i | −0.644454 | + | 0.945240i | 0.355490 | + | 0.934680i | \(0.384314\pi\) |
−0.999944 | + | 0.0105602i | \(0.996639\pi\) | |||||||
\(524\) | 19.0338 | − | 48.4974i | 0.831497 | − | 2.11862i | ||||
\(525\) | 0.691944 | − | 0.636360i | 0.0301989 | − | 0.0277730i | ||||
\(526\) | 6.24985 | + | 15.9244i | 0.272507 | + | 0.694335i | ||||
\(527\) | 8.74612 | + | 1.99624i | 0.380987 | + | 0.0869577i | ||||
\(528\) | −18.4790 | − | 10.3363i | −0.804197 | − | 0.449828i | ||||
\(529\) | −20.3696 | + | 9.80946i | −0.885633 | + | 0.426498i | ||||
\(530\) | 11.4994 | − | 29.3000i | 0.499502 | − | 1.27271i | ||||
\(531\) | −37.5147 | − | 4.61446i | −1.62800 | − | 0.200250i | ||||
\(532\) | 23.1752 | − | 45.9844i | 1.00477 | − | 1.99368i | ||||
\(533\) | −2.52915 | + | 3.70959i | −0.109550 | + | 0.160680i | ||||
\(534\) | −28.8345 | + | 6.99532i | −1.24779 | + | 0.302717i | ||||
\(535\) | 11.5290 | + | 12.4253i | 0.498443 | + | 0.537194i | ||||
\(536\) | 49.5521 | − | 3.71341i | 2.14032 | − | 0.160395i | ||||
\(537\) | −7.30215 | − | 4.08446i | −0.315111 | − | 0.176257i | ||||
\(538\) | 27.2714 | − | 15.7451i | 1.17575 | − | 0.678821i | ||||
\(539\) | 19.4130 | + | 30.8035i | 0.836178 | + | 1.32680i | ||||
\(540\) | −37.3314 | − | 23.2794i | −1.60649 | − | 1.00179i | ||||
\(541\) | −29.6823 | − | 4.47388i | −1.27614 | − | 0.192347i | −0.524209 | − | 0.851589i | \(-0.675639\pi\) |
−0.751931 | + | 0.659242i | \(0.770877\pi\) | |||||||
\(542\) | 14.5191 | + | 6.99203i | 0.623649 | + | 0.300333i | ||||
\(543\) | −17.4867 | − | 13.5601i | −0.750425 | − | 0.581920i | ||||
\(544\) | 2.12294 | − | 4.40834i | 0.0910204 | − | 0.189006i | ||||
\(545\) | −2.59201 | + | 34.5880i | −0.111030 | + | 1.48159i | ||||
\(546\) | −4.93162 | − | 4.61662i | −0.211054 | − | 0.197573i | ||||
\(547\) | 1.93233 | + | 25.7852i | 0.0826206 | + | 1.10249i | 0.872299 | + | 0.488973i | \(0.162628\pi\) |
−0.789678 | + | 0.613521i | \(0.789752\pi\) | |||||||
\(548\) | 35.8999 | + | 14.0897i | 1.53357 | + | 0.601881i | ||||
\(549\) | 0.0835661 | − | 0.299627i | 0.00356651 | − | 0.0127878i | ||||
\(550\) | −0.931622 | − | 2.37373i | −0.0397245 | − | 0.101216i | ||||
\(551\) | −28.9673 | − | 26.8777i | −1.23405 | − | 1.14503i | ||||
\(552\) | −4.43122 | + | 0.0602910i | −0.188605 | + | 0.00256616i | ||||
\(553\) | −22.5264 | + | 27.2256i | −0.957920 | + | 1.15775i | ||||
\(554\) | −6.92849 | − | 45.9675i | −0.294363 | − | 1.95297i | ||||
\(555\) | −1.98101 | − | 22.3499i | −0.0840891 | − | 0.948701i | ||||
\(556\) | 12.1205 | + | 2.76642i | 0.514022 | + | 0.117322i | ||||
\(557\) | 18.4058 | + | 10.6266i | 0.779879 | + | 0.450263i | 0.836387 | − | 0.548139i | \(-0.184663\pi\) |
−0.0565085 | + | 0.998402i | \(0.517997\pi\) | |||||||
\(558\) | 6.59787 | − | 33.0248i | 0.279310 | − | 1.39805i | ||||
\(559\) | −3.59711 | − | 0.821018i | −0.152142 | − | 0.0347253i | ||||
\(560\) | −9.04348 | + | 10.9300i | −0.382157 | + | 0.461878i | ||||
\(561\) | 15.9294 | − | 6.50329i | 0.672540 | − | 0.274569i | ||||
\(562\) | 10.4125 | + | 45.6201i | 0.439225 | + | 1.92437i | ||||
\(563\) | 9.68157 | − | 24.6682i | 0.408030 | − | 1.03964i | −0.568197 | − | 0.822892i | \(-0.692359\pi\) |
0.976227 | − | 0.216750i | \(-0.0695458\pi\) | |||||||
\(564\) | −3.36638 | + | 15.7327i | −0.141750 | + | 0.662467i | ||||
\(565\) | 0.537213 | − | 1.74160i | 0.0226007 | − | 0.0732697i | ||||
\(566\) | −5.74149 | − | 25.1551i | −0.241333 | − | 1.05735i | ||||
\(567\) | 16.8544 | − | 16.8205i | 0.707818 | − | 0.706395i | ||||
\(568\) | −2.47350 | + | 10.8371i | −0.103786 | + | 0.454716i | ||||
\(569\) | −6.93866 | − | 4.00604i | −0.290884 | − | 0.167942i | 0.347457 | − | 0.937696i | \(-0.387045\pi\) |
−0.638340 | + | 0.769754i | \(0.720379\pi\) | |||||||
\(570\) | −31.4035 | − | 38.2981i | −1.31535 | − | 1.60413i | ||||
\(571\) | −4.91851 | + | 1.51716i | −0.205833 | + | 0.0634911i | −0.395957 | − | 0.918269i | \(-0.629587\pi\) |
0.190124 | + | 0.981760i | \(0.439111\pi\) | |||||||
\(572\) | −10.7279 | + | 5.16631i | −0.448558 | + | 0.216014i | ||||
\(573\) | 8.35289 | − | 9.25159i | 0.348947 | − | 0.386491i | ||||
\(574\) | −31.9052 | + | 33.1661i | −1.33170 | + | 1.38432i | ||||
\(575\) | −0.100352 | − | 0.0800282i | −0.00418498 | − | 0.00333741i | ||||
\(576\) | −29.6261 | − | 13.2867i | −1.23442 | − | 0.553612i | ||||
\(577\) | −12.0713 | + | 4.73762i | −0.502533 | + | 0.197230i | −0.603047 | − | 0.797706i | \(-0.706047\pi\) |
0.100513 | + | 0.994936i | \(0.467952\pi\) | |||||||
\(578\) | 13.8453 | + | 28.7501i | 0.575890 | + | 1.19585i | ||||
\(579\) | 43.2514 | − | 13.9885i | 1.79747 | − | 0.581341i | ||||
\(580\) | 35.9373 | + | 52.7104i | 1.49222 | + | 2.18868i | ||||
\(581\) | 20.6097 | − | 34.2559i | 0.855036 | − | 1.42117i | ||||
\(582\) | −44.5654 | − | 20.7195i | −1.84730 | − | 0.858850i | ||||
\(583\) | 24.8103 | − | 16.9154i | 1.02754 | − | 0.700564i | ||||
\(584\) | 26.8586 | + | 8.28477i | 1.11142 | + | 0.342826i | ||||
\(585\) | −3.88667 | + | 1.64880i | −0.160694 | + | 0.0681695i | ||||
\(586\) | 6.10029 | − | 40.4728i | 0.252001 | − | 1.67192i | ||||
\(587\) | −10.5278 | − | 18.2346i | −0.434527 | − | 0.752624i | 0.562730 | − | 0.826641i | \(-0.309751\pi\) |
−0.997257 | + | 0.0740175i | \(0.976418\pi\) | |||||||
\(588\) | −27.2572 | − | 35.7993i | −1.12407 | − | 1.47634i | ||||
\(589\) | 12.3177 | − | 21.3350i | 0.507544 | − | 0.879091i | ||||
\(590\) | 53.7070 | + | 42.8299i | 2.21108 | + | 1.76328i | ||||
\(591\) | −23.9627 | + | 5.81343i | −0.985696 | + | 0.239133i | ||||
\(592\) | 2.96942 | + | 13.0099i | 0.122043 | + | 0.534703i | ||||
\(593\) | 0.231356 | + | 3.08723i | 0.00950063 | + | 0.126777i | 0.999937 | − | 0.0111904i | \(-0.00356208\pi\) |
−0.990437 | + | 0.137968i | \(0.955943\pi\) | |||||||
\(594\) | −26.0314 | − | 59.1129i | −1.06808 | − | 2.42543i | ||||
\(595\) | −2.36220 | − | 11.2833i | −0.0968408 | − | 0.462571i | ||||
\(596\) | 71.4038 | − | 5.35097i | 2.92481 | − | 0.219184i | ||||
\(597\) | −11.2526 | + | 12.4633i | −0.460538 | + | 0.510088i | ||||
\(598\) | −0.519578 | + | 0.762081i | −0.0212471 | + | 0.0311638i | ||||
\(599\) | −4.34033 | + | 28.7962i | −0.177341 | + | 1.17658i | 0.706125 | + | 0.708087i | \(0.250442\pi\) |
−0.883466 | + | 0.468495i | \(0.844796\pi\) | |||||||
\(600\) | 0.648170 | + | 1.30038i | 0.0264614 | + | 0.0530878i | ||||
\(601\) | −0.325004 | + | 2.15626i | −0.0132572 | + | 0.0879557i | −0.994481 | − | 0.104917i | \(-0.966542\pi\) |
0.981224 | + | 0.192873i | \(0.0617804\pi\) | |||||||
\(602\) | −34.9505 | − | 14.4494i | −1.42448 | − | 0.588914i | ||||
\(603\) | 30.6681 | + | 19.7087i | 1.24890 | + | 0.802602i | ||||
\(604\) | 28.4210 | + | 19.3771i | 1.15643 | + | 0.788444i | ||||
\(605\) | 8.15099 | − | 35.7118i | 0.331385 | − | 1.45189i | ||||
\(606\) | 0.580202 | + | 3.52343i | 0.0235691 | + | 0.143130i | ||||
\(607\) | − | 21.1684i | − | 0.859199i | −0.903020 | − | 0.429600i | \(-0.858655\pi\) | ||
0.903020 | − | 0.429600i | \(-0.141345\pi\) | |||||||
\(608\) | −9.84958 | − | 9.13908i | −0.399453 | − | 0.370639i | ||||
\(609\) | −32.1972 | + | 12.4725i | −1.30470 | + | 0.505410i | ||||
\(610\) | −0.414417 | + | 0.384522i | −0.0167792 | + | 0.0155689i | ||||
\(611\) | 1.05015 | + | 1.13179i | 0.0424846 | + | 0.0457875i | ||||
\(612\) | −18.8987 | + | 9.74320i | −0.763934 | + | 0.393845i | ||||
\(613\) | −37.7894 | + | 5.69583i | −1.52630 | + | 0.230052i | −0.857926 | − | 0.513774i | \(-0.828247\pi\) |
−0.668373 | + | 0.743826i | \(0.733009\pi\) | |||||||
\(614\) | 13.8422 | + | 4.26976i | 0.558626 | + | 0.172313i | ||||
\(615\) | 10.8713 | + | 26.6286i | 0.438374 | + | 1.07377i | ||||
\(616\) | −54.0655 | + | 15.6154i | −2.17836 | + | 0.629164i | ||||
\(617\) | 3.57396 | − | 3.85181i | 0.143882 | − | 0.155068i | −0.656999 | − | 0.753891i | \(-0.728174\pi\) |
0.800881 | + | 0.598823i | \(0.204365\pi\) | |||||||
\(618\) | 71.5925 | − | 11.7891i | 2.87987 | − | 0.474227i | ||||
\(619\) | 34.8212i | 1.39958i | 0.714348 | + | 0.699791i | \(0.246723\pi\) | ||||
−0.714348 | + | 0.699791i | \(0.753277\pi\) | |||||||
\(620\) | −27.0519 | + | 29.1550i | −1.08643 | + | 1.17089i | ||||
\(621\) | −2.62248 | − | 1.92168i | −0.105237 | − | 0.0771143i | ||||
\(622\) | 16.7906 | − | 13.3900i | 0.673241 | − | 0.536892i | ||||
\(623\) | −9.77713 | + | 16.2508i | −0.391712 | + | 0.651073i | ||||
\(624\) | 2.15726 | − | 1.28494i | 0.0863595 | − | 0.0514388i | ||||
\(625\) | 5.78190 | − | 25.3322i | 0.231276 | − | 1.01329i | ||||
\(626\) | 40.8303 | + | 6.15418i | 1.63191 | + | 0.245970i | ||||
\(627\) | −4.17160 | − | 47.0645i | −0.166598 | − | 1.87957i | ||||
\(628\) | −9.69347 | − | 64.3120i | −0.386812 | − | 2.56633i | ||||
\(629\) | −9.76999 | − | 4.70498i | −0.389555 | − | 0.187600i | ||||
\(630\) | −42.1008 | + | 10.0169i | −1.67734 | + | 0.399082i | ||||
\(631\) | −4.39900 | + | 2.11845i | −0.175122 | + | 0.0843341i | −0.519391 | − | 0.854537i | \(-0.673841\pi\) |
0.344269 | + | 0.938871i | \(0.388127\pi\) | |||||||
\(632\) | −30.7661 | − | 45.1256i | −1.22381 | − | 1.79500i | ||||
\(633\) | −9.77211 | − | 23.9362i | −0.388406 | − | 0.951377i | ||||
\(634\) | 0.785733 | + | 10.4849i | 0.0312054 | + | 0.416408i | ||||
\(635\) | 15.9060 | − | 19.9455i | 0.631210 | − | 0.791512i | ||||
\(636\) | −28.6946 | + | 23.5289i | −1.13782 | + | 0.932982i | ||||
\(637\) | −4.31465 | + | 0.167263i | −0.170953 | + | 0.00662721i | ||||
\(638\) | 93.6607i | 3.70806i | ||||||||
\(639\) | −6.23509 | + | 5.25610i | −0.246656 | + | 0.207928i | ||||
\(640\) | 26.6562 | + | 39.0974i | 1.05368 | + | 1.54546i | ||||
\(641\) | 7.71548 | − | 1.76101i | 0.304743 | − | 0.0695557i | −0.0674148 | − | 0.997725i | \(-0.521475\pi\) |
0.372158 | + | 0.928169i | \(0.378618\pi\) | |||||||
\(642\) | −7.25030 | − | 29.8855i | −0.286146 | − | 1.17949i | ||||
\(643\) | −31.9135 | − | 2.39159i | −1.25855 | − | 0.0943150i | −0.571301 | − | 0.820741i | \(-0.693561\pi\) |
−0.687245 | + | 0.726426i | \(0.741180\pi\) | |||||||
\(644\) | −4.25913 | + | 4.42744i | −0.167833 | + | 0.174466i | ||||
\(645\) | −17.1065 | + | 16.3112i | −0.673568 | + | 0.642253i | ||||
\(646\) | −23.6686 | + | 3.56747i | −0.931229 | + | 0.140360i | ||||
\(647\) | 1.21356 | − | 16.1938i | 0.0477099 | − | 0.636644i | −0.921178 | − | 0.389142i | \(-0.872771\pi\) |
0.968887 | − | 0.247502i | \(-0.0796096\pi\) | |||||||
\(648\) | 17.7482 | + | 32.2408i | 0.697217 | + | 1.26654i | ||||
\(649\) | 19.3165 | + | 62.6227i | 0.758241 | + | 2.45816i | ||||
\(650\) | 0.299026 | + | 0.0450710i | 0.0117288 | + | 0.00176783i | ||||
\(651\) | −12.0474 | − | 17.8392i | −0.472173 | − | 0.699173i | ||||
\(652\) | 23.7549 | − | 3.58048i | 0.930315 | − | 0.140222i | ||||
\(653\) | 4.47491 | + | 9.29224i | 0.175117 | + | 0.363633i | 0.969991 | − | 0.243140i | \(-0.0781776\pi\) |
−0.794874 | + | 0.606774i | \(0.792463\pi\) | |||||||
\(654\) | 34.7382 | − | 52.4713i | 1.35837 | − | 2.05179i | ||||
\(655\) | −32.0287 | −1.25146 | ||||||||
\(656\) | −8.55301 | − | 14.8142i | −0.333939 | − | 0.578399i | ||||
\(657\) | 12.0752 | + | 16.7151i | 0.471096 | + | 0.652117i | ||||
\(658\) | 8.67791 | + | 13.2346i | 0.338300 | + | 0.515937i | ||||
\(659\) | 17.9264 | + | 19.3201i | 0.698313 | + | 0.752603i | 0.978253 | − | 0.207415i | \(-0.0665050\pi\) |
−0.279940 | + | 0.960018i | \(0.590314\pi\) | |||||||
\(660\) | −10.3417 | + | 75.5756i | −0.402550 | + | 2.94177i | ||||
\(661\) | −5.70382 | − | 2.23858i | −0.221853 | − | 0.0870708i | 0.251811 | − | 0.967776i | \(-0.418974\pi\) |
−0.473664 | + | 0.880706i | \(0.657069\pi\) | |||||||
\(662\) | 38.5197 | + | 15.1179i | 1.49711 | + | 0.587573i | ||||
\(663\) | −0.276632 | + | 2.02158i | −0.0107435 | + | 0.0785118i | ||||
\(664\) | 42.0273 | + | 45.2946i | 1.63097 | + | 1.75777i | ||||
\(665\) | −31.5207 | − | 2.93438i | −1.22232 | − | 0.113790i | ||||
\(666\) | −16.6582 | + | 37.1437i | −0.645491 | + | 1.43929i | ||||
\(667\) | 2.35722 | + | 4.08282i | 0.0912719 | + | 0.158088i | ||||
\(668\) | −44.3615 | −1.71640 | ||||||||
\(669\) | 10.7259 | − | 16.2013i | 0.414688 | − | 0.626377i | ||||
\(670\) | −28.7466 | − | 59.6929i | −1.11058 | − | 2.30614i | ||||
\(671\) | −0.533304 | + | 0.0803827i | −0.0205880 | + | 0.00310314i | ||||
\(672\) | −10.9478 | + | 4.24094i | −0.422322 | + | 0.163598i | ||||
\(673\) | −0.986767 | − | 0.148731i | −0.0380371 | − | 0.00573317i | 0.129996 | − | 0.991514i | \(-0.458503\pi\) |
−0.168033 | + | 0.985781i | \(0.553742\pi\) | |||||||
\(674\) | 14.4019 | + | 46.6898i | 0.554740 | + | 1.79842i | ||||
\(675\) | −0.194593 | + | 1.04803i | −0.00748990 | + | 0.0403388i | ||||
\(676\) | −3.49980 | + | 46.7016i | −0.134608 | + | 1.79621i | ||||
\(677\) | −1.87861 | + | 0.283155i | −0.0722008 | + | 0.0108825i | −0.185043 | − | 0.982730i | \(-0.559243\pi\) |
0.112842 | + | 0.993613i | \(0.464004\pi\) | |||||||
\(678\) | −2.39313 | + | 2.28187i | −0.0919077 | + | 0.0876348i | ||||
\(679\) | −29.4444 | + | 10.9478i | −1.12997 | + | 0.420137i | ||||
\(680\) | 17.7676 | + | 1.33150i | 0.681355 | + | 0.0510605i | ||||
\(681\) | 6.71635 | + | 27.6846i | 0.257371 | + | 1.06087i | ||||
\(682\) | −56.9269 | + | 12.9932i | −2.17984 | + | 0.497535i | ||||
\(683\) | 1.31320 | + | 1.92611i | 0.0502481 | + | 0.0737004i | 0.850541 | − | 0.525909i | \(-0.176275\pi\) |
−0.800293 | + | 0.599610i | \(0.795322\pi\) | |||||||
\(684\) | 10.2700 | + | 57.4787i | 0.392685 | + | 2.19775i | ||||
\(685\) | − | 23.7090i | − | 0.905875i | ||||||
\(686\) | −43.8926 | − | 5.68837i | −1.67583 | − | 0.217183i | ||||
\(687\) | 23.4881 | − | 19.2597i | 0.896126 | − | 0.734802i | ||||
\(688\) | 8.76475 | − | 10.9907i | 0.334153 | − | 0.419015i | ||||
\(689\) | 0.266115 | + | 3.55105i | 0.0101382 | + | 0.135284i | ||||
\(690\) | 2.23335 | + | 5.47046i | 0.0850223 | + | 0.208257i | ||||
\(691\) | 0.123176 | + | 0.180666i | 0.00468583 | + | 0.00687285i | 0.828575 | − | 0.559879i | \(-0.189152\pi\) |
−0.823889 | + | 0.566752i | \(0.808200\pi\) | |||||||
\(692\) | 36.7505 | − | 17.6981i | 1.39705 | − | 0.672782i | ||||
\(693\) | −38.5685 | − | 14.7297i | −1.46510 | − | 0.559536i | ||||
\(694\) | −74.4097 | − | 35.8338i | −2.82455 | − | 1.36023i | ||||
\(695\) | −1.13911 | − | 7.55753i | −0.0432091 | − | 0.286673i | ||||
\(696\) | −4.71175 | − | 53.1585i | −0.178599 | − | 2.01497i | ||||
\(697\) | 13.7453 | + | 2.07177i | 0.520640 | + | 0.0784739i | ||||
\(698\) | −13.3362 | + | 58.4296i | −0.504782 | + | 2.21159i | ||||
\(699\) | 30.4833 | − | 18.1569i | 1.15298 | − | 0.686758i | ||||
\(700\) | 1.91372 | + | 0.628300i | 0.0723319 | + | 0.0237475i | ||||
\(701\) | −31.4744 | + | 25.1000i | −1.18877 | + | 0.948015i | −0.999425 | − | 0.0338947i | \(-0.989209\pi\) |
−0.189348 | + | 0.981910i | \(0.560637\pi\) | |||||||
\(702\) | 7.61451 | + | 0.831622i | 0.287391 | + | 0.0313875i | ||||
\(703\) | −20.2545 | + | 21.8292i | −0.763914 | + | 0.823303i | ||||
\(704\) | 56.2959i | 2.12173i | ||||||||
\(705\) | 9.75947 | − | 1.60709i | 0.367563 | − | 0.0605264i | ||||
\(706\) | 53.3847 | − | 57.5351i | 2.00916 | − | 2.16536i | ||||
\(707\) | 1.86238 | + | 1.31954i | 0.0700418 | + | 0.0496264i | ||||
\(708\) | −30.6102 | − | 74.9776i | −1.15040 | − | 2.81783i | ||||
\(709\) | −26.0877 | − | 8.04700i | −0.979745 | − | 0.302211i | −0.236796 | − | 0.971559i | \(-0.576097\pi\) |
−0.742949 | + | 0.669348i | \(0.766573\pi\) | |||||||
\(710\) | 14.6554 | − | 2.20895i | 0.550008 | − | 0.0829004i | ||||
\(711\) | 1.90610 | − | 40.0225i | 0.0714842 | − | 1.50096i | ||||
\(712\) | −19.9375 | − | 21.4875i | −0.747189 | − | 0.805278i | ||||
\(713\) | −2.15453 | + | 1.99911i | −0.0806877 | + | 0.0748673i | ||||
\(714\) | −6.25309 | + | 19.9583i | −0.234016 | + | 0.746920i | ||||
\(715\) | 5.36602 | + | 4.97894i | 0.200678 | + | 0.186202i | ||||
\(716\) | − | 17.9270i | − | 0.669962i | ||||||
\(717\) | 7.56977 | + | 45.9695i | 0.282698 | + | 1.71676i | ||||
\(718\) | 6.19515 | − | 27.1427i | 0.231201 | − | 1.01296i | ||||
\(719\) | −19.2131 | − | 13.0992i | −0.716526 | − | 0.488519i | 0.149346 | − | 0.988785i | \(-0.452283\pi\) |
−0.865872 | + | 0.500266i | \(0.833236\pi\) | |||||||
\(720\) | 0.765223 | − | 16.0675i | 0.0285182 | − | 0.598800i | ||||
\(721\) | 26.8117 | − | 37.8415i | 0.998520 | − | 1.40929i | ||||
\(722\) | −3.02924 | + | 20.0977i | −0.112737 | + | 0.747959i | ||||
\(723\) | −13.1999 | − | 26.4820i | −0.490909 | − | 0.984878i | ||||
\(724\) | 7.06646 | − | 46.8829i | 0.262623 | − | 1.74239i | ||||
\(725\) | 0.870717 | − | 1.27711i | 0.0323376 | − | 0.0474306i | ||||
\(726\) | −44.5357 | + | 49.3273i | −1.65287 | + | 1.83071i | ||||
\(727\) | 41.2189 | − | 3.08893i | 1.52872 | − | 0.114562i | 0.716368 | − | 0.697723i | \(-0.245803\pi\) |
0.812357 | + | 0.583161i | \(0.198184\pi\) | |||||||
\(728\) | 1.60207 | − | 6.47852i | 0.0593767 | − | 0.240110i | ||||
\(729\) | −3.84167 | + | 26.7253i | −0.142284 | + | 0.989826i | ||||
\(730\) | −2.80059 | − | 37.3713i | −0.103654 | − | 1.38317i | ||||
\(731\) | 2.54194 | + | 11.1369i | 0.0940169 | + | 0.411915i | ||||
\(732\) | 0.647699 | − | 0.157134i | 0.0239396 | − | 0.00580782i | ||||
\(733\) | 24.3282 | + | 19.4011i | 0.898582 | + | 0.716596i | 0.959548 | − | 0.281544i | \(-0.0908466\pi\) |
−0.0609658 | + | 0.998140i | \(0.519418\pi\) | |||||||
\(734\) | 2.54423 | − | 4.40673i | 0.0939092 | − | 0.162655i | ||||
\(735\) | −14.3649 | + | 23.6390i | −0.529859 | + | 0.871939i | ||||
\(736\) | 0.801512 | + | 1.38826i | 0.0295441 | + | 0.0511719i | ||||
\(737\) | 9.42048 | − | 62.5008i | 0.347008 | − | 2.30225i | ||||
\(738\) | 6.37070 | − | 51.7926i | 0.234509 | − | 1.90651i | ||||
\(739\) | −7.05135 | − | 2.17505i | −0.259388 | − | 0.0800107i | 0.162334 | − | 0.986736i | \(-0.448098\pi\) |
−0.421722 | + | 0.906725i | \(0.638574\pi\) | |||||||
\(740\) | 39.7215 | − | 27.0817i | 1.46019 | − | 0.995542i | ||||
\(741\) | 5.08095 | + | 2.36225i | 0.186653 | + | 0.0867793i | ||||
\(742\) | −3.38342 | + | 36.3442i | −0.124209 | + | 1.33424i | ||||
\(743\) | −6.55394 | − | 9.61286i | −0.240441 | − | 0.352662i | 0.686983 | − | 0.726673i | \(-0.258934\pi\) |
−0.927424 | + | 0.374011i | \(0.877982\pi\) | |||||||
\(744\) | 31.6560 | − | 10.2383i | 1.16057 | − | 0.375353i | ||||
\(745\) | −19.0995 | − | 39.6605i | −0.699751 | − | 1.45305i | ||||
\(746\) | 10.4267 | − | 4.09219i | 0.381750 | − | 0.149826i | ||||
\(747\) | 4.61616 | + | 45.0949i | 0.168896 | + | 1.64994i | ||||
\(748\) | 28.8225 | + | 22.9852i | 1.05386 | + | 0.840422i | ||||
\(749\) | −16.8431 | − | 10.1335i | −0.615434 | − | 0.370270i | ||||
\(750\) | −30.3443 | + | 33.6091i | −1.10802 | + | 1.22723i | ||||
\(751\) | −33.4464 | + | 16.1070i | −1.22048 | + | 0.587751i | −0.929444 | − | 0.368962i | \(-0.879713\pi\) |
−0.291033 | + | 0.956713i | \(0.593999\pi\) | |||||||
\(752\) | −5.62115 | + | 1.73390i | −0.204982 | + | 0.0632287i | ||||
\(753\) | 6.11868 | + | 7.46202i | 0.222977 | + | 0.271931i | ||||
\(754\) | −9.61910 | − | 5.55359i | −0.350307 | − | 0.202250i | ||||
\(755\) | 4.70561 | − | 20.6166i | 0.171255 | − | 0.750315i | ||||
\(756\) | 49.0829 | + | 13.9234i | 1.78513 | + | 0.506390i | ||||
\(757\) | −8.45735 | − | 37.0541i | −0.307388 | − | 1.34675i | −0.858711 | − | 0.512461i | \(-0.828734\pi\) |
0.551323 | − | 0.834292i | \(-0.314123\pi\) | |||||||
\(758\) | −6.12769 | + | 19.8655i | −0.222568 | + | 0.721547i | ||||
\(759\) | −1.17947 | + | 5.51224i | −0.0428121 | + | 0.200082i | ||||
\(760\) | 17.8756 | − | 45.5463i | 0.648417 | − | 1.65214i | ||||
\(761\) | 1.57060 | + | 6.88123i | 0.0569340 | + | 0.249444i | 0.995384 | − | 0.0959704i | \(-0.0305954\pi\) |
−0.938450 | + | 0.345415i | \(0.887738\pi\) | |||||||
\(762\) | −42.8511 | + | 17.4943i | −1.55233 | + | 0.633750i | ||||
\(763\) | −8.24214 | − | 39.3694i | −0.298385 | − | 1.42527i | ||||
\(764\) | 26.0370 | + | 5.94277i | 0.941985 | + | 0.215002i | ||||
\(765\) | 9.82039 | + | 8.62685i | 0.355057 | + | 0.311904i | ||||
\(766\) | 12.7114 | + | 7.33895i | 0.459283 | + | 0.265167i | ||||
\(767\) | −7.57682 | − | 1.72936i | −0.273583 | − | 0.0624436i | ||||
\(768\) | −4.26964 | − | 48.1705i | −0.154067 | − | 1.73820i | ||||
\(769\) | −3.33141 | − | 22.1024i | −0.120134 | − | 0.797034i | −0.965037 | − | 0.262115i | \(-0.915580\pi\) |
0.844903 | − | 0.534919i | \(-0.179658\pi\) | |||||||
\(770\) | 45.7174 | + | 59.4971i | 1.64754 | + | 2.14413i | ||||
\(771\) | 12.9181 | − | 0.175763i | 0.465234 | − | 0.00632995i | ||||
\(772\) | 71.3974 | + | 66.2471i | 2.56965 | + | 2.38429i | ||||
\(773\) | 5.57988 | + | 14.2173i | 0.200694 | + | 0.511361i | 0.995419 | − | 0.0956094i | \(-0.0304800\pi\) |
−0.794725 | + | 0.606970i | \(0.792385\pi\) | |||||||
\(774\) | 41.5332 | − | 10.6764i | 1.49288 | − | 0.383756i | ||||
\(775\) | 0.897017 | + | 0.352053i | 0.0322218 | + | 0.0126461i | ||||
\(776\) | −3.62834 | − | 48.4169i | −0.130250 | − | 1.73806i | ||||
\(777\) | 9.39901 | + | 24.2632i | 0.337188 | + | 0.870437i | ||||
\(778\) | −3.46502 | + | 46.2375i | −0.124227 | + | 1.65769i | ||||
\(779\) | 16.5624 | − | 34.3922i | 0.593410 | − | 1.23223i | ||||
\(780\) | −7.14852 | − | 5.54334i | −0.255958 | − | 0.198483i | ||||
\(781\) | 12.7390 | + | 6.13480i | 0.455839 | + | 0.219520i | ||||
\(782\) | 2.82377 | + | 0.425615i | 0.100978 | + | 0.0152200i | ||||
\(783\) | 20.7166 | − | 33.2217i | 0.740352 | − | 1.18725i | ||||
\(784\) | 6.55843 | − | 15.0875i | 0.234230 | − | 0.538839i | ||||
\(785\) | −34.6267 | + | 19.9918i | −1.23588 | + | 0.713536i | ||||
\(786\) | 50.7145 | + | 28.3672i | 1.80893 | + | 1.01182i | ||||
\(787\) | −21.6380 | + | 1.62154i | −0.771312 | + | 0.0578018i | −0.454571 | − | 0.890710i | \(-0.650207\pi\) |
−0.316740 | + | 0.948512i | \(0.602588\pi\) | |||||||
\(788\) | −35.9351 | − | 38.7288i | −1.28014 | − | 1.37966i | ||||
\(789\) | −12.0491 | + | 2.92313i | −0.428958 | + | 0.104066i | ||||
\(790\) | −41.0211 | + | 60.1669i | −1.45947 | + | 2.14064i | ||||
\(791\) | −0.0380982 | + | 2.11323i | −0.00135462 | + | 0.0751379i | ||||
\(792\) | 38.4130 | − | 50.9529i | 1.36495 | − | 1.81053i | ||||
\(793\) | 0.0233667 | − | 0.0595374i | 0.000829777 | − | 0.00211424i | ||||
\(794\) | −8.28320 | + | 3.98898i | −0.293960 | + | 0.141564i | ||||
\(795\) | 19.9097 | + | 11.1365i | 0.706125 | + | 0.394971i | ||||
\(796\) | −35.0757 | − | 8.00581i | −1.24323 | − | 0.283758i | ||||
\(797\) | −10.1020 | − | 25.7396i | −0.357833 | − | 0.911743i | −0.990524 | − | 0.137339i | \(-0.956145\pi\) |
0.632691 | − | 0.774404i | \(-0.281950\pi\) | |||||||
\(798\) | 47.3113 | + | 32.5636i | 1.67480 | + | 1.15274i | ||||
\(799\) | 1.74640 | − | 4.44975i | 0.0617831 | − | 0.157421i | ||||
\(800\) | 0.296065 | − | 0.434248i | 0.0104675 | − | 0.0153530i | ||||
\(801\) | −2.18988 | − | 21.3928i | −0.0773755 | − | 0.755876i | ||||
\(802\) | 33.8766 | − | 58.6760i | 1.19622 | − | 2.07192i | ||||
\(803\) | 17.8762 | − | 30.9624i | 0.630836 | − | 1.09264i | ||||
\(804\) | −4.77688 | + | 77.9629i | −0.168468 | + | 2.74954i | ||||
\(805\) | 3.49030 | + | 1.44298i | 0.123017 | + | 0.0508582i | ||||
\(806\) | 2.04105 | − | 6.61691i | 0.0718928 | − | 0.233071i | ||||
\(807\) | 8.62651 | + | 21.1301i | 0.303668 | + | 0.743814i | ||||
\(808\) | −2.75810 | + | 2.19951i | −0.0970295 | + | 0.0773785i | ||||
\(809\) | 4.46196 | + | 29.6032i | 0.156874 | + | 1.04079i | 0.919255 | + | 0.393663i | \(0.128792\pi\) |
−0.762380 | + | 0.647129i | \(0.775969\pi\) | |||||||
\(810\) | 31.3703 | − | 37.7334i | 1.10224 | − | 1.32581i | ||||
\(811\) | 15.9421 | − | 3.63867i | 0.559802 | − | 0.127771i | 0.0667479 | − | 0.997770i | \(-0.478738\pi\) |
0.493054 | + | 0.869999i | \(0.335881\pi\) | |||||||
\(812\) | −57.0003 | − | 47.1619i | −2.00032 | − | 1.65506i | ||||
\(813\) | −6.44748 | + | 9.73879i | −0.226123 | + | 0.341554i | ||||
\(814\) | 70.5808 | 2.47386 | ||||||||
\(815\) | −7.38436 | − | 12.7901i | −0.258663 | − | 0.448017i | ||||
\(816\) | −6.48223 | − | 4.29151i | −0.226924 | − | 0.150233i | ||||
\(817\) | 31.2821 | + | 2.34427i | 1.09442 | + | 0.0820156i | ||||
\(818\) | 27.3996 | + | 34.3581i | 0.958006 | + | 1.20130i | ||||
\(819\) | 3.79968 | − | 3.08765i | 0.132771 | − | 0.107891i | ||||
\(820\) | −38.4235 | + | 48.1816i | −1.34181 | + | 1.68257i | ||||
\(821\) | 15.0674 | − | 16.2388i | 0.525855 | − | 0.566737i | −0.413140 | − | 0.910667i | \(-0.635568\pi\) |
0.938995 | + | 0.343931i | \(0.111759\pi\) | |||||||
\(822\) | −20.9986 | + | 37.5411i | −0.732412 | + | 1.30940i | ||||
\(823\) | 21.1630 | + | 14.4287i | 0.737695 | + | 0.502952i | 0.872920 | − | 0.487863i | \(-0.162223\pi\) |
−0.135225 | + | 0.990815i | \(0.543176\pi\) | |||||||
\(824\) | 44.6917 | + | 56.0417i | 1.55691 | + | 1.95230i | ||||
\(825\) | 1.79607 | − | 0.435731i | 0.0625310 | − | 0.0151702i | ||||
\(826\) | −73.6185 | − | 30.4357i | −2.56151 | − | 1.05899i | ||||
\(827\) | −6.92450 | − | 14.3789i | −0.240788 | − | 0.500002i | 0.745195 | − | 0.666847i | \(-0.232357\pi\) |
−0.985983 | + | 0.166844i | \(0.946642\pi\) | |||||||
\(828\) | 0.850446 | − | 6.91396i | 0.0295550 | − | 0.240277i | ||||
\(829\) | −10.9377 | + | 35.4592i | −0.379882 | + | 1.23155i | 0.540772 | + | 0.841169i | \(0.318132\pi\) |
−0.920654 | + | 0.390379i | \(0.872344\pi\) | |||||||
\(830\) | 35.7454 | − | 74.2261i | 1.24074 | − | 2.57643i | ||||
\(831\) | 33.6890 | − | 0.458372i | 1.16866 | − | 0.0159007i | ||||
\(832\) | −5.78167 | − | 3.33805i | −0.200443 | − | 0.115726i | ||||
\(833\) | 6.26261 | + | 11.8109i | 0.216987 | + | 0.409224i | ||||
\(834\) | −4.88988 | + | 12.9756i | −0.169323 | + | 0.449307i | ||||
\(835\) | 9.96358 | + | 25.3868i | 0.344804 | + | 0.878546i | ||||
\(836\) | 83.6455 | − | 57.0285i | 2.89294 | − | 1.97237i | ||||
\(837\) | 23.0660 | + | 7.98284i | 0.797279 | + | 0.275927i | ||||
\(838\) | −46.1374 | + | 3.45752i | −1.59379 | + | 0.119438i | ||||
\(839\) | 30.1644 | + | 20.5658i | 1.04139 | + | 0.710009i | 0.958076 | − | 0.286514i | \(-0.0924966\pi\) |
0.0833157 | + | 0.996523i | \(0.473449\pi\) | |||||||
\(840\) | −28.9407 | − | 31.4685i | −0.998548 | − | 1.08577i | ||||
\(841\) | −22.9467 | + | 15.6448i | −0.791267 | + | 0.539477i | ||||
\(842\) | −48.0679 | + | 38.3329i | −1.65653 | + | 1.32104i | ||||
\(843\) | −33.7819 | + | 2.99429i | −1.16351 | + | 0.103129i | ||||
\(844\) | 34.5385 | − | 43.3099i | 1.18886 | − | 1.49079i | ||||
\(845\) | 27.5120 | − | 8.48633i | 0.946442 | − | 0.291939i | ||||
\(846\) | −16.8766 | − | 6.09911i | −0.580230 | − | 0.209692i | ||||
\(847\) | 2.41037 | + | 42.4103i | 0.0828213 | + | 1.45724i | ||||
\(848\) | −12.6297 | − | 4.95679i | −0.433705 | − | 0.170217i | ||||
\(849\) | 18.6275 | − | 1.65107i | 0.639294 | − | 0.0566644i | ||||
\(850\) | −0.275969 | − | 0.894671i | −0.00946567 | − | 0.0306870i | ||||
\(851\) | 3.07673 | − | 1.77635i | 0.105469 | − | 0.0608926i | ||||
\(852\) | −16.3504 | − | 6.16170i | −0.560156 | − | 0.211096i | ||||
\(853\) | −4.06732 | − | 13.1859i | −0.139262 | − | 0.451478i | 0.858895 | − | 0.512151i | \(-0.171151\pi\) |
−0.998158 | + | 0.0606737i | \(0.980675\pi\) | |||||||
\(854\) | 0.337978 | − | 0.561760i | 0.0115654 | − | 0.0192230i | ||||
\(855\) | 30.5867 | − | 18.7869i | 1.04604 | − | 0.642500i | ||||
\(856\) | 22.2707 | − | 20.6642i | 0.761197 | − | 0.706287i | ||||
\(857\) | 28.7773 | + | 36.0856i | 0.983015 | + | 1.23266i | 0.972545 | + | 0.232716i | \(0.0747613\pi\) |
0.0104698 | + | 0.999945i | \(0.496667\pi\) | |||||||
\(858\) | −4.08686 | − | 12.6363i | −0.139523 | − | 0.431396i | ||||
\(859\) | 8.88878 | − | 2.02881i | 0.303281 | − | 0.0692220i | −0.0681721 | − | 0.997674i | \(-0.521717\pi\) |
0.371453 | + | 0.928452i | \(0.378860\pi\) | |||||||
\(860\) | −48.3942 | − | 14.9276i | −1.65023 | − | 0.509028i | ||||
\(861\) | −20.6808 | − | 26.1694i | −0.704798 | − | 0.891850i | ||||
\(862\) | 44.9653 | − | 13.8699i | 1.53152 | − | 0.472412i | ||||
\(863\) | −42.8094 | + | 24.7160i | −1.45725 | + | 0.841343i | −0.998875 | − | 0.0474159i | \(-0.984901\pi\) |
−0.458374 | + | 0.888759i | \(0.651568\pi\) | |||||||
\(864\) | 7.04416 | − | 11.2962i | 0.239647 | − | 0.384304i | ||||
\(865\) | −18.3823 | − | 17.0563i | −0.625016 | − | 0.579930i | ||||
\(866\) | 1.04334 | − | 13.9224i | 0.0354541 | − | 0.473102i | ||||
\(867\) | −22.0053 | + | 7.11700i | −0.747338 | + | 0.241706i | ||||
\(868\) | 20.7575 | − | 41.1873i | 0.704556 | − | 1.39799i | ||||
\(869\) | −64.6686 | + | 25.3806i | −2.19373 | + | 0.860977i | ||||
\(870\) | −63.6827 | + | 31.7424i | −2.15905 | + | 1.07617i | ||||
\(871\) | 5.86034 | + | 4.67347i | 0.198570 | + | 0.158354i | ||||
\(872\) | 61.9942 | + | 4.64582i | 2.09939 | + | 0.157327i | ||||
\(873\) | 19.2572 | − | 29.9655i | 0.651759 | − | 1.01418i | ||||
\(874\) | 3.40251 | − | 7.06538i | 0.115092 | − | 0.238990i | ||||
\(875\) | 1.64230 | + | 28.8962i | 0.0555199 | + | 0.976870i | ||||
\(876\) | −18.6264 | + | 40.0635i | −0.629328 | + | 1.35362i | ||||
\(877\) | 6.48242 | + | 3.12177i | 0.218896 | + | 0.105415i | 0.540118 | − | 0.841589i | \(-0.318379\pi\) |
−0.321223 | + | 0.947004i | \(0.604094\pi\) | |||||||
\(878\) | −3.92137 | + | 3.63850i | −0.132340 | + | 0.122793i | ||||
\(879\) | 28.4632 | + | 8.35739i | 0.960040 | + | 0.281888i | ||||
\(880\) | −25.9619 | + | 10.1893i | −0.875177 | + | 0.343482i | ||||
\(881\) | 8.55695 | 0.288291 | 0.144146 | − | 0.989557i | \(-0.453957\pi\) | ||||
0.144146 | + | 0.989557i | \(0.453957\pi\) | |||||||
\(882\) | 43.6823 | − | 24.7076i | 1.47086 | − | 0.831947i | ||||
\(883\) | 38.5663 | 1.29786 | 0.648930 | − | 0.760848i | \(-0.275217\pi\) | ||||
0.648930 | + | 0.760848i | \(0.275217\pi\) | |||||||
\(884\) | −4.06964 | + | 1.59722i | −0.136877 | + | 0.0537202i | ||||
\(885\) | −36.0325 | + | 34.3573i | −1.21122 | + | 1.15491i | ||||
\(886\) | −34.3388 | + | 31.8617i | −1.15363 | + | 1.07042i | ||||
\(887\) | −25.3807 | − | 12.2227i | −0.852202 | − | 0.410399i | −0.0438076 | − | 0.999040i | \(-0.513949\pi\) |
−0.808394 | + | 0.588641i | \(0.799663\pi\) | |||||||
\(888\) | −40.0592 | + | 3.55068i | −1.34430 | + | 0.119153i | ||||
\(889\) | −11.3031 | + | 27.3401i | −0.379093 | + | 0.916958i | ||||
\(890\) | −16.9574 | + | 35.2124i | −0.568414 | + | 1.18032i | ||||
\(891\) | 45.0055 | − | 12.8840i | 1.50774 | − | 0.431632i | ||||
\(892\) | 41.5147 | + | 3.11110i | 1.39002 | + | 0.104167i | ||||
\(893\) | −10.2630 | − | 8.18451i | −0.343440 | − | 0.273884i | ||||
\(894\) | −4.88423 | + | 79.7149i | −0.163353 | + | 2.66607i | ||||
\(895\) | −10.2591 | + | 4.02639i | −0.342923 | + | 0.134587i | ||||
\(896\) | −42.2794 | − | 34.9818i | −1.41245 | − | 1.16866i | ||||
\(897\) | −0.496179 | − | 0.447980i | −0.0165669 | − | 0.0149576i | ||||
\(898\) | −1.67730 | + | 22.3821i | −0.0559723 | + | 0.746899i | ||||
\(899\) | −25.9454 | − | 24.0738i | −0.865328 | − | 0.802907i | ||||
\(900\) | −2.16332 | + | 0.732324i | −0.0721107 | + | 0.0244108i | ||||
\(901\) | 9.54808 | − | 5.51259i | 0.318093 | − | 0.183651i | ||||
\(902\) | −86.4566 | + | 26.6683i | −2.87869 | + | 0.887959i | ||||
\(903\) | 13.8101 | − | 23.6774i | 0.459571 | − | 0.787934i | ||||
\(904\) | −3.12158 | − | 0.962880i | −0.103822 | − | 0.0320249i | ||||
\(905\) | −28.4168 | + | 6.48596i | −0.944608 | + | 0.215601i | ||||
\(906\) | −25.7107 | + | 28.4769i | −0.854180 | + | 0.946082i | ||||
\(907\) | 33.6443 | + | 42.1886i | 1.11714 | + | 1.40085i | 0.905940 | + | 0.423406i | \(0.139166\pi\) |
0.211200 | + | 0.977443i | \(0.432263\pi\) | |||||||
\(908\) | −44.7441 | + | 41.5164i | −1.48488 | + | 1.37777i | ||||
\(909\) | −2.58711 | + | 0.0704133i | −0.0858090 | + | 0.00233546i | ||||
\(910\) | −8.82124 | + | 1.16738i | −0.292421 | + | 0.0386984i | ||||
\(911\) | 6.15148 | + | 19.9426i | 0.203808 | + | 0.660729i | 0.998553 | + | 0.0537848i | \(0.0171285\pi\) |
−0.794745 | + | 0.606944i | \(0.792395\pi\) | |||||||
\(912\) | −16.5083 | + | 13.5364i | −0.546645 | + | 0.448236i | ||||
\(913\) | 68.0657 | − | 39.2977i | 2.25264 | − | 1.30057i | ||||
\(914\) | −11.5100 | − | 37.3146i | −0.380718 | − | 1.23426i | ||||
\(915\) | −0.235396 | − | 0.335367i | −0.00778195 | − | 0.0110869i | ||||
\(916\) | 60.5826 | + | 23.7769i | 2.00171 | + | 0.785612i | ||||
\(917\) | 35.6840 | − | 10.3064i | 1.17839 | − | 0.340348i | ||||
\(918\) | −7.90907 | − | 22.3576i | −0.261038 | − | 0.737910i | ||||
\(919\) | −13.2222 | + | 4.07850i | −0.436159 | + | 0.134537i | −0.505056 | − | 0.863087i | \(-0.668528\pi\) |
0.0688971 | + | 0.997624i | \(0.478052\pi\) | |||||||
\(920\) | −3.63956 | + | 4.56386i | −0.119993 | + | 0.150466i | ||||
\(921\) | −4.42617 | + | 9.52024i | −0.145847 | + | 0.313702i | ||||
\(922\) | 45.5284 | − | 36.3077i | 1.49940 | − | 1.19573i | ||||
\(923\) | −1.38541 | + | 0.944558i | −0.0456014 | + | 0.0310905i | ||||
\(924\) | −12.7973 | − | 87.5285i | −0.421000 | − | 2.87948i | ||||
\(925\) | −0.962403 | − | 0.656155i | −0.0316436 | − | 0.0215743i | ||||
\(926\) | −37.4244 | + | 2.80457i | −1.22984 | + | 0.0921639i | ||||
\(927\) | 1.43072 | + | 52.5674i | 0.0469911 | + | 1.72654i | ||||
\(928\) | −15.9497 | + | 10.8744i | −0.523576 | + | 0.356968i | ||||
\(929\) | 1.20673 | + | 3.07471i | 0.0395916 | + | 0.100878i | 0.949302 | − | 0.314365i | \(-0.101792\pi\) |
−0.909710 | + | 0.415243i | \(0.863696\pi\) | |||||||
\(930\) | −28.1275 | − | 34.3028i | −0.922336 | − | 1.12483i | ||||
\(931\) | 36.0623 | − | 6.87368i | 1.18189 | − | 0.225276i | ||||
\(932\) | 65.8373 | + | 38.0112i | 2.15657 | + | 1.24510i | ||||
\(933\) | 7.96522 | + | 13.3727i | 0.260770 | + | 0.437801i | ||||
\(934\) | 34.5972 | − | 71.8418i | 1.13206 | − | 2.35074i | ||||
\(935\) | 6.68023 | − | 21.6568i | 0.218467 | − | 0.708252i | ||||
\(936\) | 2.95525 | + | 6.96631i | 0.0965953 | + | 0.227701i | ||||
\(937\) | 15.0429 | + | 31.2369i | 0.491429 | + | 1.02046i | 0.988283 | + | 0.152630i | \(0.0487741\pi\) |
−0.496854 | + | 0.867834i | \(0.665512\pi\) | |||||||
\(938\) | 51.2357 | + | 57.2552i | 1.67291 | + | 1.86945i | ||||
\(939\) | −8.43121 | + | 28.7146i | −0.275142 | + | 0.937066i | ||||
\(940\) | 13.2133 | + | 16.5689i | 0.430969 | + | 0.540418i | ||||
\(941\) | −36.5186 | − | 24.8980i | −1.19047 | − | 0.811650i | −0.204550 | − | 0.978856i | \(-0.565573\pi\) |
−0.985922 | + | 0.167206i | \(0.946526\pi\) | |||||||
\(942\) | 72.5347 | − | 0.986904i | 2.36331 | − | 0.0321551i | ||||
\(943\) | −3.09761 | + | 3.33843i | −0.100872 | + | 0.108714i | ||||
\(944\) | 18.4617 | − | 23.1503i | 0.600878 | − | 0.753478i | ||||
\(945\) | −3.05603 | − | 31.2159i | −0.0994126 | − | 1.01545i | ||||
\(946\) | −46.3581 | − | 58.1312i | −1.50723 | − | 1.89001i | ||||
\(947\) | −25.4814 | − | 1.90957i | −0.828034 | − | 0.0620526i | −0.346032 | − | 0.938223i | \(-0.612471\pi\) |
−0.482002 | + | 0.876170i | \(0.660090\pi\) | |||||||
\(948\) | 76.8344 | − | 38.2979i | 2.49547 | − | 1.24386i | ||||
\(949\) | 2.11993 | + | 3.67182i | 0.0688157 | + | 0.119192i | ||||
\(950\) | −2.57109 | −0.0834173 | ||||||||
\(951\) | −7.60616 | − | 0.466039i | −0.246647 | − | 0.0151123i | ||||
\(952\) | −20.2238 | + | 4.23392i | −0.655456 | + | 0.137222i | ||||
\(953\) | 29.3308 | − | 6.69456i | 0.950117 | − | 0.216858i | 0.280743 | − | 0.959783i | \(-0.409419\pi\) |
0.669375 | + | 0.742925i | \(0.266562\pi\) | |||||||
\(954\) | −21.6619 | − | 35.2673i | −0.701329 | − | 1.14182i | ||||
\(955\) | −2.44702 | − | 16.2349i | −0.0791839 | − | 0.525351i | ||||
\(956\) | −78.0436 | + | 62.2377i | −2.52411 | + | 2.01291i | ||||
\(957\) | −67.2557 | − | 9.20321i | −2.17407 | − | 0.297497i | ||||
\(958\) | 27.0804 | − | 87.7926i | 0.874929 | − | 2.83645i | ||||
\(959\) | 7.62926 | + | 26.4148i | 0.246362 | + | 0.852980i | ||||
\(960\) | −38.2772 | + | 19.0791i | −1.23539 | + | 0.615777i | ||||
\(961\) | −4.46725 | + | 7.73751i | −0.144105 | + | 0.249597i | ||||
\(962\) | −4.18507 | + | 7.24876i | −0.134932 | + | 0.233709i | ||||
\(963\) | 22.1725 | − | 2.26970i | 0.714499 | − | 0.0731400i | ||||
\(964\) | 35.7139 | − | 52.3826i | 1.15027 | − | 1.68713i | ||||
\(965\) | 21.8755 | − | 55.7378i | 0.704196 | − | 1.79426i | ||||
\(966\) | −4.24856 | − | 5.37612i | −0.136695 | − | 0.172974i | ||||
\(967\) | −18.0319 | − | 45.9445i | −0.579866 | − | 1.47748i | −0.856319 | − | 0.516448i | \(-0.827254\pi\) |
0.276452 | − | 0.961028i | \(-0.410841\pi\) | |||||||
\(968\) | −64.0085 | − | 14.6095i | −2.05731 | − | 0.469568i | ||||
\(969\) | −0.236015 | − | 17.3464i | −0.00758190 | − | 0.557248i | ||||
\(970\) | −58.3254 | + | 28.0880i | −1.87272 | + | 0.901852i | ||||
\(971\) | −18.1716 | + | 46.3005i | −0.583154 | + | 1.48585i | 0.269303 | + | 0.963056i | \(0.413207\pi\) |
−0.852457 | + | 0.522797i | \(0.824888\pi\) | |||||||
\(972\) | −53.9936 | + | 20.7699i | −1.73185 | + | 0.666196i | ||||
\(973\) | 3.70103 | + | 8.05349i | 0.118650 | + | 0.258183i | ||||
\(974\) | −25.2052 | + | 36.9692i | −0.807626 | + | 1.18457i | ||||
\(975\) | −0.0617471 | + | 0.210295i | −0.00197749 | + | 0.00673484i | ||||
\(976\) | 0.165748 | + | 0.178633i | 0.00530545 | + | 0.00571792i | ||||
\(977\) | 11.5448 | − | 0.865160i | 0.369350 | − | 0.0276789i | 0.111237 | − | 0.993794i | \(-0.464519\pi\) |
0.258112 | + | 0.966115i | \(0.416900\pi\) | |||||||
\(978\) | 0.364533 | + | 26.7922i | 0.0116565 | + | 0.856719i | ||||
\(979\) | −32.2899 | + | 18.6426i | −1.03199 | + | 0.595820i | ||||
\(980\) | −59.2294 | − | 2.13632i | −1.89201 | − | 0.0682421i | ||||
\(981\) | 34.2651 | + | 30.1006i | 1.09400 | + | 0.961038i | ||||
\(982\) | 34.9946 | + | 5.27459i | 1.11672 | + | 0.168319i | ||||
\(983\) | −17.0439 | − | 8.20790i | −0.543616 | − | 0.261791i | 0.141860 | − | 0.989887i | \(-0.454692\pi\) |
−0.685476 | + | 0.728095i | \(0.740406\pi\) | |||||||
\(984\) | 47.7281 | − | 19.4853i | 1.52152 | − | 0.621170i | ||||
\(985\) | −14.0924 | + | 29.2631i | −0.449020 | + | 0.932400i | ||||
\(986\) | −2.56987 | + | 34.2925i | −0.0818414 | + | 1.09210i | ||||
\(987\) | −10.3561 | + | 4.93097i | −0.329640 | + | 0.156954i | ||||
\(988\) | 0.897179 | + | 11.9720i | 0.0285431 | + | 0.380881i | ||||
\(989\) | −3.48385 | − | 1.36731i | −0.110780 | − | 0.0434779i | ||||
\(990\) | −81.9520 | − | 22.8565i | −2.60461 | − | 0.726427i | ||||
\(991\) | −2.12416 | − | 5.41227i | −0.0674761 | − | 0.171926i | 0.893158 | − | 0.449743i | \(-0.148484\pi\) |
−0.960634 | + | 0.277817i | \(0.910389\pi\) | |||||||
\(992\) | −8.82207 | − | 8.18568i | −0.280101 | − | 0.259896i | ||||
\(993\) | −14.6408 | + | 26.1746i | −0.464611 | + | 0.830627i | ||||
\(994\) | −15.6172 | + | 7.17698i | −0.495347 | + | 0.227640i | ||||
\(995\) | 3.29651 | + | 21.8709i | 0.104506 | + | 0.693355i | ||||
\(996\) | −79.4976 | + | 55.7998i | −2.51898 | + | 1.76808i | ||||
\(997\) | −11.8262 | − | 2.69925i | −0.374539 | − | 0.0854861i | 0.0311076 | − | 0.999516i | \(-0.490097\pi\) |
−0.405647 | + | 0.914030i | \(0.632954\pi\) | |||||||
\(998\) | −7.09622 | − | 4.09701i | −0.224627 | − | 0.129688i | ||||
\(999\) | −25.0352 | − | 15.6116i | −0.792078 | − | 0.493930i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.bd.a.59.6 | ✓ | 648 | |
9.2 | odd | 6 | 441.2.bn.a.353.6 | yes | 648 | ||
49.5 | odd | 42 | 441.2.bn.a.5.6 | yes | 648 | ||
441.299 | even | 42 | inner | 441.2.bd.a.299.6 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.59.6 | ✓ | 648 | 1.1 | even | 1 | trivial | |
441.2.bd.a.299.6 | yes | 648 | 441.299 | even | 42 | inner | |
441.2.bn.a.5.6 | yes | 648 | 49.5 | odd | 42 | ||
441.2.bn.a.353.6 | yes | 648 | 9.2 | odd | 6 |