Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [456,2,Mod(61,456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(456, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("456.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 456 = 2^{3} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 456.bk (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.64117833217\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 253.37 | ||
Character | \(\chi\) | \(=\) | 456.253 |
Dual form | 456.2.bk.a.301.37 |
$q$-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 \(\left(\mathbb{Z}/456\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36002 | + | 0.387744i | 0.961679 | + | 0.274177i | ||||
\(3\) | −0.342020 | + | 0.939693i | −0.197465 | + | 0.542532i | ||||
\(4\) | 1.69931 | + | 1.05468i | 0.849654 | + | 0.527340i | ||||
\(5\) | 2.74544 | − | 0.484095i | 1.22780 | − | 0.216494i | 0.478118 | − | 0.878296i | \(-0.341319\pi\) |
0.749679 | + | 0.661802i | \(0.230208\pi\) | |||||||
\(6\) | −0.829515 | + | 1.14538i | −0.338648 | + | 0.467601i | ||||
\(7\) | −1.04707 | + | 1.81357i | −0.395754 | + | 0.685466i | −0.993197 | − | 0.116445i | \(-0.962850\pi\) |
0.597443 | + | 0.801911i | \(0.296183\pi\) | |||||||
\(8\) | 1.90215 | + | 2.09328i | 0.672511 | + | 0.740087i | ||||
\(9\) | −0.766044 | − | 0.642788i | −0.255348 | − | 0.214263i | ||||
\(10\) | 3.92155 | + | 0.406149i | 1.24010 | + | 0.128436i | ||||
\(11\) | −0.893712 | + | 0.515985i | −0.269464 | + | 0.155575i | −0.628644 | − | 0.777693i | \(-0.716390\pi\) |
0.359180 | + | 0.933268i | \(0.383056\pi\) | |||||||
\(12\) | −1.57227 | + | 1.23611i | −0.453876 | + | 0.356833i | ||||
\(13\) | −1.06002 | − | 2.91237i | −0.293996 | − | 0.807746i | −0.995472 | − | 0.0950538i | \(-0.969698\pi\) |
0.701476 | − | 0.712693i | \(-0.252525\pi\) | |||||||
\(14\) | −2.12723 | + | 2.06050i | −0.568527 | + | 0.550692i | ||||
\(15\) | −0.484095 | + | 2.74544i | −0.124993 | + | 0.708869i | ||||
\(16\) | 1.77530 | + | 3.58445i | 0.443825 | + | 0.896113i | ||||
\(17\) | 0.735497 | − | 0.617155i | 0.178384 | − | 0.149682i | −0.549224 | − | 0.835675i | \(-0.685077\pi\) |
0.727608 | + | 0.685993i | \(0.240632\pi\) | |||||||
\(18\) | −0.792599 | − | 1.17123i | −0.186817 | − | 0.276062i | ||||
\(19\) | −0.854759 | − | 4.27427i | −0.196095 | − | 0.980585i | ||||
\(20\) | 5.17591 | + | 2.07293i | 1.15737 | + | 0.463522i | ||||
\(21\) | −1.34608 | − | 1.60420i | −0.293739 | − | 0.350065i | ||||
\(22\) | −1.41554 | + | 0.355218i | −0.301793 | + | 0.0757327i | ||||
\(23\) | −0.402778 | + | 2.28427i | −0.0839851 | + | 0.476303i | 0.913586 | + | 0.406646i | \(0.133302\pi\) |
−0.997571 | + | 0.0696573i | \(0.977809\pi\) | |||||||
\(24\) | −2.61762 | + | 1.07149i | −0.534319 | + | 0.218717i | ||||
\(25\) | 2.60461 | − | 0.948001i | 0.520922 | − | 0.189600i | ||||
\(26\) | −0.312388 | − | 4.37190i | −0.0612644 | − | 0.857400i | ||||
\(27\) | 0.866025 | − | 0.500000i | 0.166667 | − | 0.0962250i | ||||
\(28\) | −3.69203 | + | 1.97750i | −0.697728 | + | 0.373712i | ||||
\(29\) | 2.18766 | − | 2.60715i | 0.406238 | − | 0.484136i | −0.523673 | − | 0.851919i | \(-0.675439\pi\) |
0.929911 | + | 0.367784i | \(0.119883\pi\) | |||||||
\(30\) | −1.72291 | + | 3.54614i | −0.314558 | + | 0.647434i | ||||
\(31\) | −2.85218 | + | 4.94012i | −0.512267 | + | 0.887273i | 0.487632 | + | 0.873049i | \(0.337861\pi\) |
−0.999899 | + | 0.0142231i | \(0.995472\pi\) | |||||||
\(32\) | 1.02459 | + | 5.56329i | 0.181124 | + | 0.983460i | ||||
\(33\) | −0.179200 | − | 1.01629i | −0.0311947 | − | 0.176914i | ||||
\(34\) | 1.23959 | − | 0.554158i | 0.212588 | − | 0.0950374i | ||||
\(35\) | −1.99672 | + | 5.48593i | −0.337506 | + | 0.927291i | ||||
\(36\) | −0.623811 | − | 1.90023i | −0.103968 | − | 0.316704i | ||||
\(37\) | − | 3.92447i | − | 0.645178i | −0.946539 | − | 0.322589i | \(-0.895447\pi\) | ||
0.946539 | − | 0.322589i | \(-0.104553\pi\) | |||||||
\(38\) | 0.494834 | − | 6.14452i | 0.0802727 | − | 0.996773i | ||||
\(39\) | 3.09928 | 0.496282 | ||||||||
\(40\) | 6.23557 | + | 4.82616i | 0.985931 | + | 0.763082i | ||||
\(41\) | −3.19432 | − | 1.16264i | −0.498870 | − | 0.181574i | 0.0803159 | − | 0.996769i | \(-0.474407\pi\) |
−0.579185 | + | 0.815196i | \(0.696629\pi\) | |||||||
\(42\) | −1.20868 | − | 2.70368i | −0.186504 | − | 0.417187i | ||||
\(43\) | 8.90791 | − | 1.57071i | 1.35844 | − | 0.239530i | 0.553484 | − | 0.832860i | \(-0.313298\pi\) |
0.804960 | + | 0.593329i | \(0.202187\pi\) | |||||||
\(44\) | −2.06289 | − | 0.0657626i | −0.310993 | − | 0.00991409i | ||||
\(45\) | −2.41430 | − | 1.39389i | −0.359902 | − | 0.207790i | ||||
\(46\) | −1.43350 | + | 2.95048i | −0.211358 | + | 0.435024i | ||||
\(47\) | −7.39087 | − | 6.20168i | −1.07807 | − | 0.904608i | −0.0823108 | − | 0.996607i | \(-0.526230\pi\) |
−0.995759 | + | 0.0919987i | \(0.970674\pi\) | |||||||
\(48\) | −3.97547 | + | 0.442281i | −0.573810 | + | 0.0638378i | ||||
\(49\) | 1.30730 | + | 2.26431i | 0.186757 | + | 0.323473i | ||||
\(50\) | 3.90991 | − | 0.279377i | 0.552944 | − | 0.0395099i | ||||
\(51\) | 0.328381 | + | 0.902220i | 0.0459826 | + | 0.126336i | ||||
\(52\) | 1.27032 | − | 6.06700i | 0.176162 | − | 0.841341i | ||||
\(53\) | −5.34877 | − | 0.943132i | −0.734710 | − | 0.129549i | −0.206240 | − | 0.978501i | \(-0.566123\pi\) |
−0.528470 | + | 0.848952i | \(0.677234\pi\) | |||||||
\(54\) | 1.37168 | − | 0.344214i | 0.186663 | − | 0.0468415i | ||||
\(55\) | −2.20384 | + | 1.84924i | −0.297166 | + | 0.249352i | ||||
\(56\) | −5.78800 | + | 1.25788i | −0.773454 | + | 0.168091i | ||||
\(57\) | 4.30885 | + | 0.658675i | 0.570720 | + | 0.0872437i | ||||
\(58\) | 3.98617 | − | 2.69752i | 0.523409 | − | 0.354202i | ||||
\(59\) | 1.96353 | + | 2.34004i | 0.255629 | + | 0.304647i | 0.878562 | − | 0.477628i | \(-0.158503\pi\) |
−0.622933 | + | 0.782275i | \(0.714059\pi\) | |||||||
\(60\) | −3.71818 | + | 4.15478i | −0.480015 | + | 0.536380i | ||||
\(61\) | −2.24640 | − | 0.396101i | −0.287622 | − | 0.0507156i | 0.0279756 | − | 0.999609i | \(-0.491094\pi\) |
−0.315598 | + | 0.948893i | \(0.602205\pi\) | |||||||
\(62\) | −5.79453 | + | 5.61275i | −0.735906 | + | 0.712820i | ||||
\(63\) | 1.96784 | − | 0.716236i | 0.247925 | − | 0.0902373i | ||||
\(64\) | −0.763669 | + | 7.96347i | −0.0954586 | + | 0.995433i | ||||
\(65\) | −4.32007 | − | 7.48258i | −0.535839 | − | 0.928100i | ||||
\(66\) | 0.150346 | − | 1.45166i | 0.0185063 | − | 0.178687i | ||||
\(67\) | 5.34298 | − | 6.36752i | 0.652749 | − | 0.777916i | −0.333577 | − | 0.942723i | \(-0.608256\pi\) |
0.986326 | + | 0.164807i | \(0.0527000\pi\) | |||||||
\(68\) | 1.90074 | − | 0.273023i | 0.230498 | − | 0.0331089i | ||||
\(69\) | −2.00875 | − | 1.15975i | −0.241825 | − | 0.139618i | ||||
\(70\) | −4.84271 | + | 6.68676i | −0.578815 | + | 0.799221i | ||||
\(71\) | −0.762114 | − | 4.32216i | −0.0904462 | − | 0.512946i | −0.996048 | − | 0.0888170i | \(-0.971691\pi\) |
0.905602 | − | 0.424129i | \(-0.139420\pi\) | |||||||
\(72\) | −0.111593 | − | 2.82622i | −0.0131514 | − | 0.333074i | ||||
\(73\) | 8.86487 | + | 3.22655i | 1.03755 | + | 0.377639i | 0.803952 | − | 0.594694i | \(-0.202727\pi\) |
0.233602 | + | 0.972332i | \(0.424949\pi\) | |||||||
\(74\) | 1.52169 | − | 5.33735i | 0.176893 | − | 0.620455i | ||||
\(75\) | 2.77177i | 0.320057i | ||||||||
\(76\) | 3.05549 | − | 8.16480i | 0.350488 | − | 0.936567i | ||||
\(77\) | − | 2.16108i | − | 0.246278i | ||||||
\(78\) | 4.21508 | + | 1.20173i | 0.477264 | + | 0.136069i | ||||
\(79\) | −5.60986 | − | 2.04182i | −0.631159 | − | 0.229723i | 0.00657683 | − | 0.999978i | \(-0.497907\pi\) |
−0.637736 | + | 0.770255i | \(0.720129\pi\) | |||||||
\(80\) | 6.60919 | + | 8.98148i | 0.738930 | + | 1.00416i | ||||
\(81\) | 0.173648 | + | 0.984808i | 0.0192942 | + | 0.109423i | ||||
\(82\) | −3.89354 | − | 2.81979i | −0.429969 | − | 0.311394i | ||||
\(83\) | −12.4128 | − | 7.16654i | −1.36248 | − | 0.786630i | −0.372530 | − | 0.928020i | \(-0.621510\pi\) |
−0.989954 | + | 0.141390i | \(0.954843\pi\) | |||||||
\(84\) | −0.595494 | − | 4.14572i | −0.0649737 | − | 0.452335i | ||||
\(85\) | 1.72050 | − | 2.05041i | 0.186614 | − | 0.222398i | ||||
\(86\) | 12.7240 | + | 1.31780i | 1.37206 | + | 0.142102i | ||||
\(87\) | 1.70170 | + | 2.94742i | 0.182441 | + | 0.315997i | ||||
\(88\) | −2.78007 | − | 0.889313i | −0.296357 | − | 0.0948011i | ||||
\(89\) | 0.944390 | − | 0.343730i | 0.100105 | − | 0.0364353i | −0.291482 | − | 0.956576i | \(-0.594148\pi\) |
0.391587 | + | 0.920141i | \(0.371926\pi\) | |||||||
\(90\) | −2.74302 | − | 2.83185i | −0.289139 | − | 0.298504i | ||||
\(91\) | 6.39171 | + | 1.12703i | 0.670033 | + | 0.118145i | ||||
\(92\) | −3.09362 | + | 3.45688i | −0.322532 | + | 0.360404i | ||||
\(93\) | −3.66669 | − | 4.36980i | −0.380219 | − | 0.453127i | ||||
\(94\) | −7.64707 | − | 11.3002i | −0.788735 | − | 1.16552i | ||||
\(95\) | −4.41584 | − | 11.3210i | −0.453056 | − | 1.16151i | ||||
\(96\) | −5.57821 | − | 0.939956i | −0.569324 | − | 0.0959339i | ||||
\(97\) | 12.5488 | − | 10.5297i | 1.27414 | − | 1.06913i | 0.280119 | − | 0.959965i | \(-0.409626\pi\) |
0.994023 | − | 0.109167i | \(-0.0348182\pi\) | |||||||
\(98\) | 0.899982 | + | 3.58641i | 0.0909119 | + | 0.362282i | ||||
\(99\) | 1.01629 | + | 0.179200i | 0.102141 | + | 0.0180102i | ||||
\(100\) | 5.42588 | + | 1.13609i | 0.542588 | + | 0.113609i | ||||
\(101\) | −5.48689 | − | 15.0751i | −0.545966 | − | 1.50003i | −0.839111 | − | 0.543961i | \(-0.816924\pi\) |
0.293145 | − | 0.956068i | \(-0.405298\pi\) | |||||||
\(102\) | 0.0967744 | + | 1.35437i | 0.00958209 | + | 0.134102i | ||||
\(103\) | −3.27137 | − | 5.66618i | −0.322338 | − | 0.558306i | 0.658632 | − | 0.752465i | \(-0.271135\pi\) |
−0.980970 | + | 0.194160i | \(0.937802\pi\) | |||||||
\(104\) | 4.08011 | − | 7.75867i | 0.400088 | − | 0.760801i | ||||
\(105\) | −4.47217 | − | 3.75260i | −0.436439 | − | 0.366216i | ||||
\(106\) | −6.90874 | − | 3.35663i | −0.671036 | − | 0.326025i | ||||
\(107\) | 10.7464 | + | 6.20442i | 1.03889 | + | 0.599804i | 0.919519 | − | 0.393045i | \(-0.128578\pi\) |
0.119372 | + | 0.992850i | \(0.461912\pi\) | |||||||
\(108\) | 1.99898 | + | 0.0637253i | 0.192352 | + | 0.00613197i | ||||
\(109\) | 1.31485 | − | 0.231843i | 0.125940 | − | 0.0222066i | −0.110323 | − | 0.993896i | \(-0.535189\pi\) |
0.236263 | + | 0.971689i | \(0.424077\pi\) | |||||||
\(110\) | −3.71431 | + | 1.66048i | −0.354145 | + | 0.158321i | ||||
\(111\) | 3.68779 | + | 1.34225i | 0.350030 | + | 0.127400i | ||||
\(112\) | −8.35953 | − | 0.533527i | −0.789901 | − | 0.0504135i | ||||
\(113\) | −11.3673 | −1.06934 | −0.534672 | − | 0.845060i | \(-0.679565\pi\) | ||||
−0.534672 | + | 0.845060i | \(0.679565\pi\) | |||||||
\(114\) | 5.60472 | + | 2.56654i | 0.524930 | + | 0.240379i | ||||
\(115\) | 6.46630i | 0.602986i | ||||||||
\(116\) | 6.46722 | − | 2.12307i | 0.600466 | − | 0.197122i | ||||
\(117\) | −1.06002 | + | 2.91237i | −0.0979985 | + | 0.269249i | ||||
\(118\) | 1.76310 | + | 3.94385i | 0.162306 | + | 0.363061i | ||||
\(119\) | 0.349141 | + | 1.98008i | 0.0320057 | + | 0.181514i | ||||
\(120\) | −6.66780 | + | 4.20888i | −0.608684 | + | 0.384216i | ||||
\(121\) | −4.96752 | + | 8.60400i | −0.451593 | + | 0.782181i | ||||
\(122\) | −2.90157 | − | 1.40974i | −0.262695 | − | 0.127631i | ||||
\(123\) | 2.18505 | − | 2.60404i | 0.197019 | − | 0.234798i | ||||
\(124\) | −10.0570 | + | 5.38666i | −0.903144 | + | 0.483736i | ||||
\(125\) | −5.37961 | + | 3.10592i | −0.481167 | + | 0.277802i | ||||
\(126\) | 2.95402 | − | 0.211076i | 0.263165 | − | 0.0188041i | ||||
\(127\) | −10.2958 | + | 3.74735i | −0.913602 | + | 0.332524i | −0.755690 | − | 0.654930i | \(-0.772698\pi\) |
−0.157912 | + | 0.987453i | \(0.550476\pi\) | |||||||
\(128\) | −4.12639 | + | 10.5344i | −0.364725 | + | 0.931115i | ||||
\(129\) | −1.57071 | + | 8.90791i | −0.138293 | + | 0.784298i | ||||
\(130\) | −2.97405 | − | 11.8515i | −0.260842 | − | 1.03945i | ||||
\(131\) | 7.88203 | + | 9.39344i | 0.688657 | + | 0.820709i | 0.991192 | − | 0.132429i | \(-0.0422777\pi\) |
−0.302536 | + | 0.953138i | \(0.597833\pi\) | |||||||
\(132\) | 0.767347 | − | 1.91599i | 0.0667890 | − | 0.166766i | ||||
\(133\) | 8.64669 | + | 2.92528i | 0.749763 | + | 0.253654i | ||||
\(134\) | 9.73553 | − | 6.58824i | 0.841022 | − | 0.569137i | ||||
\(135\) | 2.13557 | − | 1.79196i | 0.183801 | − | 0.154227i | ||||
\(136\) | 2.69090 | + | 0.365683i | 0.230743 | + | 0.0313571i | ||||
\(137\) | −1.94418 | + | 11.0260i | −0.166102 | + | 0.942014i | 0.781818 | + | 0.623507i | \(0.214293\pi\) |
−0.947920 | + | 0.318507i | \(0.896819\pi\) | |||||||
\(138\) | −2.28226 | − | 2.35617i | −0.194279 | − | 0.200571i | ||||
\(139\) | 4.90131 | + | 13.4662i | 0.415724 | + | 1.14219i | 0.954100 | + | 0.299488i | \(0.0968157\pi\) |
−0.538376 | + | 0.842705i | \(0.680962\pi\) | |||||||
\(140\) | −9.17894 | + | 7.21639i | −0.775762 | + | 0.609897i | ||||
\(141\) | 8.35550 | − | 4.82405i | 0.703660 | − | 0.406258i | ||||
\(142\) | 0.639404 | − | 6.17373i | 0.0536576 | − | 0.518088i | ||||
\(143\) | 2.45009 | + | 2.05587i | 0.204887 | + | 0.171920i | ||||
\(144\) | 0.944084 | − | 3.88699i | 0.0786736 | − | 0.323916i | ||||
\(145\) | 4.74397 | − | 8.21680i | 0.393965 | − | 0.682368i | ||||
\(146\) | 10.8053 | + | 7.82547i | 0.894255 | + | 0.647640i | ||||
\(147\) | −2.57488 | + | 0.454021i | −0.212373 | + | 0.0374470i | ||||
\(148\) | 4.13906 | − | 6.66888i | 0.340228 | − | 0.548179i | ||||
\(149\) | −7.64081 | + | 20.9930i | −0.625960 | + | 1.71981i | 0.0659468 | + | 0.997823i | \(0.478993\pi\) |
−0.691907 | + | 0.721987i | \(0.743229\pi\) | |||||||
\(150\) | −1.07474 | + | 3.76966i | −0.0877520 | + | 0.307792i | ||||
\(151\) | 8.46245 | 0.688665 | 0.344332 | − | 0.938848i | \(-0.388105\pi\) | ||||
0.344332 | + | 0.938848i | \(0.388105\pi\) | |||||||
\(152\) | 7.32138 | − | 9.91955i | 0.593842 | − | 0.804581i | ||||
\(153\) | −0.960123 | −0.0776213 | ||||||||
\(154\) | 0.837948 | − | 2.93912i | 0.0675237 | − | 0.236841i | ||||
\(155\) | −5.43900 | + | 14.9435i | −0.436871 | + | 1.20029i | ||||
\(156\) | 5.26663 | + | 3.26875i | 0.421668 | + | 0.261709i | ||||
\(157\) | 18.9844 | − | 3.34746i | 1.51512 | − | 0.267157i | 0.646608 | − | 0.762823i | \(-0.276187\pi\) |
0.868513 | + | 0.495666i | \(0.165076\pi\) | |||||||
\(158\) | −6.83782 | − | 4.95211i | −0.543988 | − | 0.393969i | ||||
\(159\) | 2.71564 | − | 4.70363i | 0.215364 | − | 0.373022i | ||||
\(160\) | 5.50611 | + | 14.7777i | 0.435296 | + | 1.16828i | ||||
\(161\) | −3.72095 | − | 3.12225i | −0.293252 | − | 0.246068i | ||||
\(162\) | −0.145689 | + | 1.40669i | −0.0114464 | + | 0.110520i | ||||
\(163\) | −8.96240 | + | 5.17444i | −0.701989 | + | 0.405294i | −0.808088 | − | 0.589062i | \(-0.799497\pi\) |
0.106099 | + | 0.994356i | \(0.466164\pi\) | |||||||
\(164\) | −4.20193 | − | 5.34467i | −0.328116 | − | 0.417349i | ||||
\(165\) | −0.983963 | − | 2.70342i | −0.0766014 | − | 0.210461i | ||||
\(166\) | −14.1029 | − | 14.5596i | −1.09460 | − | 1.13005i | ||||
\(167\) | −3.31815 | + | 18.8182i | −0.256766 | + | 1.45619i | 0.534731 | + | 0.845022i | \(0.320413\pi\) |
−0.791498 | + | 0.611172i | \(0.790698\pi\) | |||||||
\(168\) | 0.797595 | − | 5.86916i | 0.0615358 | − | 0.452815i | ||||
\(169\) | 2.60031 | − | 2.18192i | 0.200024 | − | 0.167840i | ||||
\(170\) | 3.13495 | − | 2.12149i | 0.240439 | − | 0.162710i | ||||
\(171\) | −2.09266 | + | 3.82371i | −0.160030 | + | 0.292406i | ||||
\(172\) | 16.7939 | + | 6.72589i | 1.28052 | + | 0.512844i | ||||
\(173\) | −11.3616 | − | 13.5402i | −0.863807 | − | 1.02944i | −0.999252 | − | 0.0386600i | \(-0.987691\pi\) |
0.135446 | − | 0.990785i | \(-0.456753\pi\) | |||||||
\(174\) | 1.17149 | + | 4.66838i | 0.0888107 | + | 0.353909i | ||||
\(175\) | −1.00793 | + | 5.71628i | −0.0761926 | + | 0.432110i | ||||
\(176\) | −3.43613 | − | 2.28744i | −0.259008 | − | 0.172422i | ||||
\(177\) | −2.87048 | + | 1.04477i | −0.215759 | + | 0.0785298i | ||||
\(178\) | 1.41767 | − | 0.101298i | 0.106259 | − | 0.00759258i | ||||
\(179\) | −7.78401 | + | 4.49410i | −0.581804 | + | 0.335905i | −0.761850 | − | 0.647753i | \(-0.775709\pi\) |
0.180046 | + | 0.983658i | \(0.442375\pi\) | |||||||
\(180\) | −2.63252 | − | 4.91497i | −0.196217 | − | 0.366340i | ||||
\(181\) | −12.9198 | + | 15.3972i | −0.960318 | + | 1.14446i | 0.0291307 | + | 0.999576i | \(0.490726\pi\) |
−0.989448 | + | 0.144886i | \(0.953718\pi\) | |||||||
\(182\) | 8.25585 | + | 4.01113i | 0.611964 | + | 0.297325i | ||||
\(183\) | 1.14053 | − | 1.97545i | 0.0843103 | − | 0.146030i | ||||
\(184\) | −5.54777 | + | 3.50189i | −0.408987 | + | 0.258163i | ||||
\(185\) | −1.89981 | − | 10.7744i | −0.139677 | − | 0.792148i | ||||
\(186\) | −3.29241 | − | 7.36475i | −0.241412 | − | 0.540010i | ||||
\(187\) | −0.338880 | + | 0.931064i | −0.0247813 | + | 0.0680861i | ||||
\(188\) | −6.01859 | − | 18.3336i | −0.438951 | − | 1.33711i | ||||
\(189\) | 2.09413i | 0.152326i | ||||||||
\(190\) | −1.61599 | − | 17.1089i | −0.117236 | − | 1.24121i | ||||
\(191\) | −20.3624 | −1.47338 | −0.736688 | − | 0.676233i | \(-0.763611\pi\) | ||||
−0.736688 | + | 0.676233i | \(0.763611\pi\) | |||||||
\(192\) | −7.22202 | − | 3.44128i | −0.521204 | − | 0.248353i | ||||
\(193\) | 16.1429 | + | 5.87554i | 1.16199 | + | 0.422931i | 0.849809 | − | 0.527091i | \(-0.176717\pi\) |
0.312183 | + | 0.950022i | \(0.398940\pi\) | |||||||
\(194\) | 21.1495 | − | 9.45490i | 1.51845 | − | 0.678822i | ||||
\(195\) | 8.50888 | − | 1.50034i | 0.609333 | − | 0.107442i | ||||
\(196\) | −0.166616 | + | 5.22655i | −0.0119012 | + | 0.373325i | ||||
\(197\) | 7.74832 | + | 4.47350i | 0.552045 | + | 0.318723i | 0.749946 | − | 0.661499i | \(-0.230079\pi\) |
−0.197901 | + | 0.980222i | \(0.563413\pi\) | |||||||
\(198\) | 1.31269 | + | 0.637776i | 0.0932891 | + | 0.0453248i | ||||
\(199\) | 17.5510 | + | 14.7270i | 1.24416 | + | 1.04397i | 0.997187 | + | 0.0749474i | \(0.0238789\pi\) |
0.246969 | + | 0.969023i | \(0.420566\pi\) | |||||||
\(200\) | 6.93879 | + | 3.64895i | 0.490647 | + | 0.258020i | ||||
\(201\) | 4.15610 | + | 7.19858i | 0.293149 | + | 0.507749i | ||||
\(202\) | −1.61699 | − | 22.6300i | −0.113771 | − | 1.59224i | ||||
\(203\) | 2.43763 | + | 6.69734i | 0.171088 | + | 0.470061i | ||||
\(204\) | −0.393532 | + | 1.87949i | −0.0275528 | + | 0.131590i | ||||
\(205\) | −9.33264 | − | 1.64560i | −0.651820 | − | 0.114933i | ||||
\(206\) | −2.25210 | − | 8.97458i | −0.156911 | − | 0.625289i | ||||
\(207\) | 1.77685 | − | 1.49095i | 0.123499 | − | 0.103628i | ||||
\(208\) | 8.55741 | − | 8.96991i | 0.593350 | − | 0.621952i | ||||
\(209\) | 2.96937 | + | 3.37892i | 0.205395 | + | 0.233725i | ||||
\(210\) | −4.62719 | − | 6.83767i | −0.319307 | − | 0.471844i | ||||
\(211\) | −13.8564 | − | 16.5134i | −0.953913 | − | 1.13683i | −0.990502 | − | 0.137498i | \(-0.956094\pi\) |
0.0365893 | − | 0.999330i | \(-0.488351\pi\) | |||||||
\(212\) | −8.09451 | − | 7.24391i | −0.555933 | − | 0.497514i | ||||
\(213\) | 4.32216 | + | 0.762114i | 0.296150 | + | 0.0522192i | ||||
\(214\) | 12.2096 | + | 12.6050i | 0.834628 | + | 0.861659i | ||||
\(215\) | 23.6957 | − | 8.62455i | 1.61604 | − | 0.588189i | ||||
\(216\) | 2.69395 | + | 0.861763i | 0.183300 | + | 0.0586355i | ||||
\(217\) | −5.97285 | − | 10.3453i | −0.405464 | − | 0.702283i | ||||
\(218\) | 1.87812 | + | 0.194514i | 0.127202 | + | 0.0131741i | ||||
\(219\) | −6.06393 | + | 7.22670i | −0.409762 | + | 0.488335i | ||||
\(220\) | −5.69537 | + | 0.818087i | −0.383982 | + | 0.0551554i | ||||
\(221\) | −2.57702 | − | 1.48784i | −0.173349 | − | 0.100083i | ||||
\(222\) | 4.49502 | + | 3.25540i | 0.301686 | + | 0.218488i | ||||
\(223\) | −0.762240 | − | 4.32288i | −0.0510433 | − | 0.289481i | 0.948591 | − | 0.316503i | \(-0.102509\pi\) |
−0.999635 | + | 0.0270218i | \(0.991398\pi\) | |||||||
\(224\) | −11.1623 | − | 3.96697i | −0.745809 | − | 0.265054i | ||||
\(225\) | −2.60461 | − | 0.948001i | −0.173641 | − | 0.0632001i | ||||
\(226\) | −15.4597 | − | 4.40760i | −1.02837 | − | 0.293189i | ||||
\(227\) | − | 17.6130i | − | 1.16901i | −0.811389 | − | 0.584507i | \(-0.801288\pi\) | ||
0.811389 | − | 0.584507i | \(-0.198712\pi\) | |||||||
\(228\) | 6.62737 | + | 5.66375i | 0.438908 | + | 0.375091i | ||||
\(229\) | 25.3331i | 1.67406i | 0.547158 | + | 0.837030i | \(0.315710\pi\) | ||||
−0.547158 | + | 0.837030i | \(0.684290\pi\) | |||||||
\(230\) | −2.50727 | + | 8.79430i | −0.165325 | + | 0.579879i | ||||
\(231\) | 2.03075 | + | 0.739134i | 0.133614 | + | 0.0486314i | ||||
\(232\) | 9.61875 | − | 0.379795i | 0.631502 | − | 0.0249348i | ||||
\(233\) | 2.41152 | + | 13.6764i | 0.157984 | + | 0.895972i | 0.956007 | + | 0.293345i | \(0.0947684\pi\) |
−0.798023 | + | 0.602628i | \(0.794120\pi\) | |||||||
\(234\) | −2.57090 | + | 3.54987i | −0.168065 | + | 0.232062i | ||||
\(235\) | −23.2934 | − | 13.4484i | −1.51949 | − | 0.877279i | ||||
\(236\) | 0.868644 | + | 6.04734i | 0.0565439 | + | 0.393648i | ||||
\(237\) | 3.83737 | − | 4.57320i | 0.249264 | − | 0.297061i | ||||
\(238\) | −0.292925 | + | 2.82833i | −0.0189875 | + | 0.183333i | ||||
\(239\) | 11.2171 | + | 19.4286i | 0.725575 | + | 1.25673i | 0.958737 | + | 0.284295i | \(0.0917595\pi\) |
−0.233162 | + | 0.972438i | \(0.574907\pi\) | |||||||
\(240\) | −10.7003 | + | 3.13876i | −0.690702 | + | 0.202606i | ||||
\(241\) | 21.3730 | − | 7.77913i | 1.37676 | − | 0.501098i | 0.455562 | − | 0.890204i | \(-0.349438\pi\) |
0.921193 | + | 0.389106i | \(0.127216\pi\) | |||||||
\(242\) | −10.0921 | + | 9.77548i | −0.648743 | + | 0.628392i | ||||
\(243\) | −0.984808 | − | 0.173648i | −0.0631754 | − | 0.0111395i | ||||
\(244\) | −3.39957 | − | 3.04233i | −0.217635 | − | 0.194765i | ||||
\(245\) | 4.68526 | + | 5.58367i | 0.299330 | + | 0.356728i | ||||
\(246\) | 3.98141 | − | 2.69430i | 0.253845 | − | 0.171782i | ||||
\(247\) | −11.5422 | + | 7.02017i | −0.734413 | + | 0.446683i | ||||
\(248\) | −15.7664 | + | 3.42642i | −1.00116 | + | 0.217578i | ||||
\(249\) | 10.9798 | − | 9.21313i | 0.695815 | − | 0.583858i | ||||
\(250\) | −8.52067 | + | 2.13820i | −0.538895 | + | 0.135231i | ||||
\(251\) | 17.5350 | + | 3.09189i | 1.10680 | + | 0.195158i | 0.697038 | − | 0.717035i | \(-0.254501\pi\) |
0.409761 | + | 0.912193i | \(0.365612\pi\) | |||||||
\(252\) | 4.09937 | + | 0.858338i | 0.258236 | + | 0.0540702i | ||||
\(253\) | −0.818681 | − | 2.24931i | −0.0514700 | − | 0.141413i | ||||
\(254\) | −15.4555 | + | 1.10435i | −0.969762 | + | 0.0692930i | ||||
\(255\) | 1.33831 | + | 2.31802i | 0.0838082 | + | 0.145160i | ||||
\(256\) | −9.69662 | + | 12.7270i | −0.606039 | + | 0.795435i | ||||
\(257\) | −14.4237 | − | 12.1029i | −0.899728 | − | 0.754961i | 0.0704095 | − | 0.997518i | \(-0.477569\pi\) |
−0.970137 | + | 0.242557i | \(0.922014\pi\) | |||||||
\(258\) | −5.59018 | + | 11.5059i | −0.348030 | + | 0.716327i | ||||
\(259\) | 7.11731 | + | 4.10918i | 0.442248 | + | 0.255332i | ||||
\(260\) | 0.550596 | − | 17.2715i | 0.0341465 | − | 1.07113i | ||||
\(261\) | −3.35169 | + | 0.590993i | −0.207464 | + | 0.0365815i | ||||
\(262\) | 7.07747 | + | 15.8315i | 0.437248 | + | 0.978072i | ||||
\(263\) | 5.55042 | + | 2.02019i | 0.342254 | + | 0.124570i | 0.507428 | − | 0.861694i | \(-0.330596\pi\) |
−0.165174 | + | 0.986264i | \(0.552819\pi\) | |||||||
\(264\) | 1.78652 | − | 2.30825i | 0.109953 | − | 0.142063i | ||||
\(265\) | −15.1413 | −0.930121 | ||||||||
\(266\) | 10.6254 | + | 7.33114i | 0.651486 | + | 0.449501i | ||||
\(267\) | 1.00500i | 0.0615050i | ||||||||
\(268\) | 15.7951 | − | 5.18524i | 0.964838 | − | 0.316739i | ||||
\(269\) | −5.08143 | + | 13.9611i | −0.309821 | + | 0.851225i | 0.682870 | + | 0.730540i | \(0.260731\pi\) |
−0.992691 | + | 0.120685i | \(0.961491\pi\) | |||||||
\(270\) | 3.59924 | − | 1.60904i | 0.219043 | − | 0.0979231i | ||||
\(271\) | −4.90947 | − | 27.8430i | −0.298229 | − | 1.69134i | −0.653781 | − | 0.756684i | \(-0.726818\pi\) |
0.355552 | − | 0.934656i | \(-0.384293\pi\) | |||||||
\(272\) | 3.51789 | + | 1.54072i | 0.213303 | + | 0.0934198i | ||||
\(273\) | −3.24515 | + | 5.62077i | −0.196406 | + | 0.340185i | ||||
\(274\) | −6.91939 | + | 14.2417i | −0.418015 | + | 0.860374i | ||||
\(275\) | −1.83862 | + | 2.19118i | −0.110873 | + | 0.132133i | ||||
\(276\) | −2.19032 | − | 4.08937i | −0.131842 | − | 0.246151i | ||||
\(277\) | −12.6750 | + | 7.31790i | −0.761566 | + | 0.439690i | −0.829858 | − | 0.557975i | \(-0.811578\pi\) |
0.0682920 | + | 0.997665i | \(0.478245\pi\) | |||||||
\(278\) | 1.44442 | + | 20.2148i | 0.0866307 | + | 1.21240i | ||||
\(279\) | 5.36035 | − | 1.95101i | 0.320916 | − | 0.116804i | ||||
\(280\) | −15.2817 | + | 6.25536i | −0.913253 | + | 0.373829i | ||||
\(281\) | 1.22075 | − | 6.92323i | 0.0728239 | − | 0.413005i | −0.926502 | − | 0.376290i | \(-0.877200\pi\) |
0.999326 | − | 0.0367149i | \(-0.0116893\pi\) | |||||||
\(282\) | 13.2341 | − | 3.32101i | 0.788082 | − | 0.197763i | ||||
\(283\) | −18.7427 | − | 22.3367i | −1.11414 | − | 1.32778i | −0.939267 | − | 0.343186i | \(-0.888494\pi\) |
−0.174871 | − | 0.984591i | \(-0.555951\pi\) | |||||||
\(284\) | 3.26343 | − | 8.14847i | 0.193649 | − | 0.483523i | ||||
\(285\) | 12.1485 | − | 0.277537i | 0.719616 | − | 0.0164399i | ||||
\(286\) | 2.53502 | + | 3.74603i | 0.149899 | + | 0.221507i | ||||
\(287\) | 5.45320 | − | 4.57578i | 0.321892 | − | 0.270100i | ||||
\(288\) | 2.79113 | − | 4.92032i | 0.164469 | − | 0.289933i | ||||
\(289\) | −2.79194 | + | 15.8339i | −0.164232 | + | 0.931406i | ||||
\(290\) | 9.63791 | − | 9.33556i | 0.565958 | − | 0.548203i | ||||
\(291\) | 5.60275 | + | 15.3934i | 0.328439 | + | 0.902379i | ||||
\(292\) | 11.6612 | + | 14.8325i | 0.682418 | + | 0.868006i | ||||
\(293\) | 16.9133 | − | 9.76489i | 0.988085 | − | 0.570471i | 0.0833836 | − | 0.996518i | \(-0.473427\pi\) |
0.904701 | + | 0.426046i | \(0.140094\pi\) | |||||||
\(294\) | −3.67793 | − | 0.380918i | −0.214501 | − | 0.0222156i | ||||
\(295\) | 6.52354 | + | 5.47390i | 0.379815 | + | 0.318703i | ||||
\(296\) | 8.21502 | − | 7.46491i | 0.477488 | − | 0.433889i | ||||
\(297\) | −0.515985 | + | 0.893712i | −0.0299405 | + | 0.0518584i | ||||
\(298\) | −18.5316 | + | 25.5882i | −1.07350 | + | 1.48228i | ||||
\(299\) | 7.07959 | − | 1.24832i | 0.409423 | − | 0.0721924i | ||||
\(300\) | −2.92333 | + | 4.71009i | −0.168779 | + | 0.271937i | ||||
\(301\) | −6.47859 | + | 17.7998i | −0.373420 | + | 1.02596i | ||||
\(302\) | 11.5091 | + | 3.28127i | 0.662274 | + | 0.188816i | ||||
\(303\) | 16.0426 | 0.921623 | ||||||||
\(304\) | 13.8035 | − | 10.6520i | 0.791683 | − | 0.610932i | ||||
\(305\) | −6.35910 | −0.364121 | ||||||||
\(306\) | −1.30579 | − | 0.372282i | −0.0746468 | − | 0.0212820i | ||||
\(307\) | 1.51249 | − | 4.15553i | 0.0863223 | − | 0.237168i | −0.889019 | − | 0.457870i | \(-0.848612\pi\) |
0.975341 | + | 0.220702i | \(0.0708347\pi\) | |||||||
\(308\) | 2.27925 | − | 3.67235i | 0.129872 | − | 0.209251i | ||||
\(309\) | 6.44335 | − | 1.13614i | 0.366549 | − | 0.0646325i | ||||
\(310\) | −13.1914 | + | 18.2146i | −0.749222 | + | 1.03452i | ||||
\(311\) | 5.86864 | − | 10.1648i | 0.332780 | − | 0.576392i | −0.650276 | − | 0.759698i | \(-0.725347\pi\) |
0.983056 | + | 0.183306i | \(0.0586800\pi\) | |||||||
\(312\) | 5.89529 | + | 6.48767i | 0.333755 | + | 0.367292i | ||||
\(313\) | 16.7422 | + | 14.0484i | 0.946324 | + | 0.794060i | 0.978675 | − | 0.205417i | \(-0.0658550\pi\) |
−0.0323509 | + | 0.999477i | \(0.510299\pi\) | |||||||
\(314\) | 27.1171 | + | 2.80848i | 1.53031 | + | 0.158492i | ||||
\(315\) | 5.05586 | − | 2.91900i | 0.284865 | − | 0.164467i | ||||
\(316\) | −7.37942 | − | 9.38630i | −0.415125 | − | 0.528020i | ||||
\(317\) | 1.99541 | + | 5.48235i | 0.112073 | + | 0.307919i | 0.983031 | − | 0.183439i | \(-0.0587229\pi\) |
−0.870958 | + | 0.491358i | \(0.836501\pi\) | |||||||
\(318\) | 5.51713 | − | 5.34405i | 0.309385 | − | 0.299680i | ||||
\(319\) | −0.609887 | + | 3.45884i | −0.0341471 | + | 0.193658i | ||||
\(320\) | 1.75847 | + | 22.2329i | 0.0983013 | + | 1.24286i | ||||
\(321\) | −9.50573 | + | 7.97625i | −0.530558 | + | 0.445191i | ||||
\(322\) | −3.84994 | − | 5.68910i | −0.214549 | − | 0.317041i | ||||
\(323\) | −3.26656 | − | 2.61619i | −0.181756 | − | 0.145569i | ||||
\(324\) | −0.743575 | + | 1.85664i | −0.0413097 | + | 0.103146i | ||||
\(325\) | −5.52186 | − | 6.58070i | −0.306298 | − | 0.365032i | ||||
\(326\) | −14.1954 | + | 3.56223i | −0.786211 | + | 0.197294i | ||||
\(327\) | −0.231843 | + | 1.31485i | −0.0128210 | + | 0.0727113i | ||||
\(328\) | −3.64234 | − | 8.89813i | −0.201115 | − | 0.491317i | ||||
\(329\) | 18.9859 | − | 6.91032i | 1.04673 | − | 0.380978i | ||||
\(330\) | −0.289975 | − | 4.05822i | −0.0159626 | − | 0.223398i | ||||
\(331\) | −13.0410 | + | 7.52924i | −0.716800 | + | 0.413844i | −0.813574 | − | 0.581462i | \(-0.802481\pi\) |
0.0967739 | + | 0.995306i | \(0.469148\pi\) | |||||||
\(332\) | −13.5348 | − | 25.2697i | −0.742819 | − | 1.38686i | ||||
\(333\) | −2.52260 | + | 3.00632i | −0.138238 | + | 0.164745i | ||||
\(334\) | −11.8094 | + | 24.3065i | −0.646181 | + | 1.32999i | ||||
\(335\) | 11.5863 | − | 20.0681i | 0.633029 | − | 1.09644i | ||||
\(336\) | 3.36048 | − | 7.67291i | 0.183329 | − | 0.418592i | ||||
\(337\) | 1.84009 | + | 10.4357i | 0.100236 | + | 0.568467i | 0.993017 | + | 0.117975i | \(0.0376403\pi\) |
−0.892780 | + | 0.450492i | \(0.851249\pi\) | |||||||
\(338\) | 4.38250 | − | 1.95920i | 0.238376 | − | 0.106566i | ||||
\(339\) | 3.88784 | − | 10.6817i | 0.211158 | − | 0.580153i | ||||
\(340\) | 5.08618 | − | 1.66970i | 0.275837 | − | 0.0905524i | ||||
\(341\) | − | 5.88673i | − | 0.318784i | ||||||
\(342\) | −4.32869 | + | 4.38890i | −0.234069 | + | 0.237325i | ||||
\(343\) | −20.1343 | −1.08715 | ||||||||
\(344\) | 20.2321 | + | 15.6591i | 1.09084 | + | 0.844281i | ||||
\(345\) | −6.07633 | − | 2.21160i | −0.327139 | − | 0.119069i | ||||
\(346\) | −10.2019 | − | 22.8204i | −0.548455 | − | 1.22683i | ||||
\(347\) | 17.5477 | − | 3.09414i | 0.942012 | − | 0.166102i | 0.318506 | − | 0.947921i | \(-0.396819\pi\) |
0.623506 | + | 0.781819i | \(0.285708\pi\) | |||||||
\(348\) | −0.216882 | + | 6.80333i | −0.0116261 | + | 0.364697i | ||||
\(349\) | 12.0948 | + | 6.98292i | 0.647418 | + | 0.373787i | 0.787466 | − | 0.616358i | \(-0.211392\pi\) |
−0.140048 | + | 0.990145i | \(0.544726\pi\) | |||||||
\(350\) | −3.58726 | + | 7.38343i | −0.191747 | + | 0.394661i | ||||
\(351\) | −2.37419 | − | 1.99218i | −0.126725 | − | 0.106335i | ||||
\(352\) | −3.78626 | − | 4.44331i | −0.201809 | − | 0.236829i | ||||
\(353\) | 5.78632 | + | 10.0222i | 0.307975 | + | 0.533428i | 0.977919 | − | 0.208983i | \(-0.0670154\pi\) |
−0.669944 | + | 0.742411i | \(0.733682\pi\) | |||||||
\(354\) | −4.30902 | + | 0.307895i | −0.229022 | + | 0.0163644i | ||||
\(355\) | −4.18467 | − | 11.4973i | −0.222099 | − | 0.610212i | ||||
\(356\) | 1.96734 | + | 0.411926i | 0.104269 | + | 0.0218321i | ||||
\(357\) | −1.98008 | − | 0.349141i | −0.104797 | − | 0.0184785i | ||||
\(358\) | −12.3290 | + | 3.09386i | −0.651607 | + | 0.163516i | ||||
\(359\) | 1.08064 | − | 0.906767i | 0.0570342 | − | 0.0478573i | −0.613825 | − | 0.789442i | \(-0.710370\pi\) |
0.670859 | + | 0.741585i | \(0.265926\pi\) | |||||||
\(360\) | −1.67453 | − | 7.70520i | −0.0882556 | − | 0.406100i | ||||
\(361\) | −17.5388 | + | 7.30695i | −0.923093 | + | 0.384576i | ||||
\(362\) | −23.5413 | + | 15.9309i | −1.23730 | + | 0.837309i | ||||
\(363\) | −6.38612 | − | 7.61068i | −0.335184 | − | 0.399457i | ||||
\(364\) | 9.67283 | + | 8.65638i | 0.506994 | + | 0.453717i | ||||
\(365\) | 25.8999 | + | 4.56685i | 1.35566 | + | 0.239040i | ||||
\(366\) | 2.31711 | − | 2.24442i | 0.121117 | − | 0.117318i | ||||
\(367\) | −25.5661 | + | 9.30532i | −1.33454 | + | 0.485734i | −0.908089 | − | 0.418776i | \(-0.862459\pi\) |
−0.426453 | + | 0.904510i | \(0.640237\pi\) | |||||||
\(368\) | −8.90291 | + | 2.61152i | −0.464096 | + | 0.136135i | ||||
\(369\) | 1.69966 | + | 2.94390i | 0.0884810 | + | 0.153254i | ||||
\(370\) | 1.59392 | − | 15.3900i | 0.0828639 | − | 0.800088i | ||||
\(371\) | 7.31096 | − | 8.71286i | 0.379566 | − | 0.452349i | ||||
\(372\) | −1.62211 | − | 11.2928i | −0.0841024 | − | 0.585506i | ||||
\(373\) | 11.2308 | + | 6.48409i | 0.581508 | + | 0.335734i | 0.761732 | − | 0.647892i | \(-0.224349\pi\) |
−0.180225 | + | 0.983625i | \(0.557682\pi\) | |||||||
\(374\) | −0.821898 | + | 1.13487i | −0.0424993 | + | 0.0586826i | ||||
\(375\) | −1.07867 | − | 6.11746i | −0.0557025 | − | 0.315904i | ||||
\(376\) | −1.07666 | − | 27.2677i | −0.0555246 | − | 1.40622i | ||||
\(377\) | −9.91194 | − | 3.60765i | −0.510491 | − | 0.185804i | ||||
\(378\) | −0.811989 | + | 2.84806i | −0.0417642 | + | 0.146489i | ||||
\(379\) | − | 11.4676i | − | 0.589050i | −0.955644 | − | 0.294525i | \(-0.904839\pi\) | ||
0.955644 | − | 0.294525i | \(-0.0951614\pi\) | |||||||
\(380\) | 4.43611 | − | 23.8951i | 0.227568 | − | 1.22579i | ||||
\(381\) | − | 10.9565i | − | 0.561320i | ||||||
\(382\) | −27.6933 | − | 7.89542i | −1.41691 | − | 0.403965i | ||||
\(383\) | −11.9026 | − | 4.33218i | −0.608193 | − | 0.221364i | 0.0195196 | − | 0.999809i | \(-0.493786\pi\) |
−0.627712 | + | 0.778445i | \(0.716009\pi\) | |||||||
\(384\) | −8.48776 | − | 7.48051i | −0.433139 | − | 0.381738i | ||||
\(385\) | −1.04617 | − | 5.93312i | −0.0533177 | − | 0.302380i | ||||
\(386\) | 19.6765 | + | 14.2502i | 1.00151 | + | 0.725315i | ||||
\(387\) | −7.83349 | − | 4.52267i | −0.398199 | − | 0.229900i | ||||
\(388\) | 32.4299 | − | 4.65825i | 1.64638 | − | 0.236487i | ||||
\(389\) | 0.206971 | − | 0.246659i | 0.0104939 | − | 0.0125061i | −0.760772 | − | 0.649019i | \(-0.775179\pi\) |
0.771266 | + | 0.636513i | \(0.219624\pi\) | |||||||
\(390\) | 12.1540 | + | 1.25877i | 0.615441 | + | 0.0637403i | ||||
\(391\) | 1.11351 | + | 1.92865i | 0.0563124 | + | 0.0975360i | ||||
\(392\) | −2.25317 | + | 7.04361i | −0.113802 | + | 0.355756i | ||||
\(393\) | −11.5228 | + | 4.19394i | −0.581247 | + | 0.211556i | ||||
\(394\) | 8.80330 | + | 9.08841i | 0.443504 | + | 0.457868i | ||||
\(395\) | −16.3900 | − | 2.88999i | −0.824668 | − | 0.145411i | ||||
\(396\) | 1.53800 | + | 1.37638i | 0.0772872 | + | 0.0691656i | ||||
\(397\) | −7.87054 | − | 9.37974i | −0.395011 | − | 0.470756i | 0.531481 | − | 0.847070i | \(-0.321636\pi\) |
−0.926492 | + | 0.376314i | \(0.877191\pi\) | |||||||
\(398\) | 18.1594 | + | 26.8343i | 0.910247 | + | 1.34508i | ||||
\(399\) | −5.70621 | + | 7.12473i | −0.285668 | + | 0.356683i | ||||
\(400\) | 8.02204 | + | 7.65313i | 0.401102 | + | 0.382656i | ||||
\(401\) | −12.3059 | + | 10.3259i | −0.614526 | + | 0.515649i | −0.896078 | − | 0.443897i | \(-0.853596\pi\) |
0.281551 | + | 0.959546i | \(0.409151\pi\) | |||||||
\(402\) | 2.86117 | + | 11.4017i | 0.142702 | + | 0.568666i | ||||
\(403\) | 17.4108 | + | 3.07000i | 0.867295 | + | 0.152928i | ||||
\(404\) | 6.57549 | − | 31.4042i | 0.327143 | − | 1.56242i | ||||
\(405\) | 0.953480 | + | 2.61967i | 0.0473788 | + | 0.130172i | ||||
\(406\) | 0.718373 | + | 10.0537i | 0.0356523 | + | 0.498956i | ||||
\(407\) | 2.02497 | + | 3.50734i | 0.100374 | + | 0.173853i | ||||
\(408\) | −1.26397 | + | 2.40355i | −0.0625760 | + | 0.118994i | ||||
\(409\) | 17.2457 | + | 14.4709i | 0.852745 | + | 0.715538i | 0.960392 | − | 0.278651i | \(-0.0898873\pi\) |
−0.107647 | + | 0.994189i | \(0.534332\pi\) | |||||||
\(410\) | −12.0545 | − | 5.85672i | −0.595330 | − | 0.289243i | ||||
\(411\) | −9.69609 | − | 5.59804i | −0.478273 | − | 0.276131i | ||||
\(412\) | 0.416939 | − | 13.0788i | 0.0205411 | − | 0.644348i | ||||
\(413\) | −6.29978 | + | 1.11082i | −0.309992 | + | 0.0546599i | ||||
\(414\) | 2.99465 | − | 1.33876i | 0.147179 | − | 0.0657965i | ||||
\(415\) | −37.5479 | − | 13.6663i | −1.84315 | − | 0.670853i | ||||
\(416\) | 15.1163 | − | 8.88117i | 0.741137 | − | 0.435435i | ||||
\(417\) | −14.3305 | −0.701767 | ||||||||
\(418\) | 2.72824 | + | 5.74676i | 0.133443 | + | 0.281083i | ||||
\(419\) | − | 9.23590i | − | 0.451203i | −0.974220 | − | 0.225602i | \(-0.927565\pi\) | ||
0.974220 | − | 0.225602i | \(-0.0724348\pi\) | |||||||
\(420\) | −3.64181 | − | 11.0935i | −0.177702 | − | 0.541309i | ||||
\(421\) | 3.22808 | − | 8.86907i | 0.157327 | − | 0.432252i | −0.835837 | − | 0.548977i | \(-0.815017\pi\) |
0.993164 | + | 0.116725i | \(0.0372397\pi\) | |||||||
\(422\) | −12.4420 | − | 27.8313i | −0.605666 | − | 1.35481i | ||||
\(423\) | 1.67538 | + | 9.50153i | 0.0814595 | + | 0.461980i | ||||
\(424\) | −8.19990 | − | 12.9905i | −0.398223 | − | 0.630873i | ||||
\(425\) | 1.33062 | − | 2.30470i | 0.0645445 | − | 0.111794i | ||||
\(426\) | 5.58272 | + | 2.71238i | 0.270484 | + | 0.131415i | ||||
\(427\) | 3.07049 | − | 3.65927i | 0.148592 | − | 0.177084i | ||||
\(428\) | 11.7177 | + | 21.8772i | 0.566398 | + | 1.05748i | ||||
\(429\) | −2.76986 | + | 1.59918i | −0.133730 | + | 0.0772092i | ||||
\(430\) | 35.5708 | − | 2.54166i | 1.71538 | − | 0.122570i | ||||
\(431\) | 1.52770 | − | 0.556037i | 0.0735867 | − | 0.0267834i | −0.304965 | − | 0.952364i | \(-0.598645\pi\) |
0.378551 | + | 0.925580i | \(0.376422\pi\) | |||||||
\(432\) | 3.32968 | + | 2.21658i | 0.160199 | + | 0.106645i | ||||
\(433\) | 5.49481 | − | 31.1626i | 0.264064 | − | 1.49758i | −0.507624 | − | 0.861578i | \(-0.669476\pi\) |
0.771688 | − | 0.636001i | \(-0.219413\pi\) | |||||||
\(434\) | −4.11187 | − | 16.3857i | −0.197376 | − | 0.786540i | ||||
\(435\) | 6.09873 | + | 7.26818i | 0.292412 | + | 0.348483i | ||||
\(436\) | 2.47886 | + | 0.992772i | 0.118716 | + | 0.0475451i | ||||
\(437\) | 10.1079 | − | 0.230917i | 0.483525 | − | 0.0110463i | ||||
\(438\) | −11.0492 | + | 7.47721i | −0.527950 | + | 0.357275i | ||||
\(439\) | 5.70419 | − | 4.78638i | 0.272246 | − | 0.228442i | −0.496435 | − | 0.868074i | \(-0.665358\pi\) |
0.768681 | + | 0.639632i | \(0.220913\pi\) | |||||||
\(440\) | −8.06303 | − | 1.09573i | −0.384390 | − | 0.0522370i | ||||
\(441\) | 0.454021 | − | 2.57488i | 0.0216201 | − | 0.122613i | ||||
\(442\) | −2.92790 | − | 3.02272i | −0.139266 | − | 0.143776i | ||||
\(443\) | −8.34692 | − | 22.9330i | −0.396574 | − | 1.08958i | −0.963942 | − | 0.266114i | \(-0.914260\pi\) |
0.567367 | − | 0.823465i | \(-0.307962\pi\) | |||||||
\(444\) | 4.85106 | + | 6.17033i | 0.230221 | + | 0.292831i | ||||
\(445\) | 2.42637 | − | 1.40086i | 0.115021 | − | 0.0664073i | ||||
\(446\) | 0.639509 | − | 6.17475i | 0.0302816 | − | 0.292383i | ||||
\(447\) | −17.1136 | − | 14.3600i | −0.809446 | − | 0.679206i | ||||
\(448\) | −13.6427 | − | 9.72325i | −0.644558 | − | 0.459381i | ||||
\(449\) | −6.99430 | + | 12.1145i | −0.330081 | + | 0.571718i | −0.982528 | − | 0.186117i | \(-0.940410\pi\) |
0.652446 | + | 0.757835i | \(0.273743\pi\) | |||||||
\(450\) | −3.17474 | − | 2.29922i | −0.149659 | − | 0.108386i | ||||
\(451\) | 3.45471 | − | 0.609158i | 0.162676 | − | 0.0286841i | ||||
\(452\) | −19.3165 | − | 11.9888i | −0.908572 | − | 0.563908i | ||||
\(453\) | −2.89433 | + | 7.95210i | −0.135987 | + | 0.373622i | ||||
\(454\) | 6.82932 | − | 23.9540i | 0.320516 | − | 1.12422i | ||||
\(455\) | 18.0936 | 0.848242 | ||||||||
\(456\) | 6.81727 | + | 10.2725i | 0.319248 | + | 0.481055i | ||||
\(457\) | −31.0992 | −1.45476 | −0.727380 | − | 0.686235i | \(-0.759262\pi\) | ||||
−0.727380 | + | 0.686235i | \(0.759262\pi\) | |||||||
\(458\) | −9.82277 | + | 34.4535i | −0.458988 | + | 1.60991i | ||||
\(459\) | 0.328381 | − | 0.902220i | 0.0153275 | − | 0.0421120i | ||||
\(460\) | −6.81988 | + | 10.9882i | −0.317978 | + | 0.512329i | ||||
\(461\) | −24.3494 | + | 4.29346i | −1.13406 | + | 0.199966i | −0.709008 | − | 0.705201i | \(-0.750857\pi\) |
−0.425057 | + | 0.905167i | \(0.639746\pi\) | |||||||
\(462\) | 2.47527 | + | 1.79265i | 0.115160 | + | 0.0834016i | ||||
\(463\) | 12.7614 | − | 22.1034i | 0.593072 | − | 1.02723i | −0.400744 | − | 0.916190i | \(-0.631248\pi\) |
0.993816 | − | 0.111041i | \(-0.0354185\pi\) | |||||||
\(464\) | 13.2290 | + | 3.21309i | 0.614139 | + | 0.149164i | ||||
\(465\) | −12.1821 | − | 10.2220i | −0.564930 | − | 0.474033i | ||||
\(466\) | −2.02324 | + | 19.5353i | −0.0937246 | + | 0.904954i | ||||
\(467\) | −10.3292 | + | 5.96357i | −0.477978 | + | 0.275961i | −0.719574 | − | 0.694416i | \(-0.755663\pi\) |
0.241595 | + | 0.970377i | \(0.422329\pi\) | |||||||
\(468\) | −4.87291 | + | 3.83104i | −0.225251 | + | 0.177090i | ||||
\(469\) | 5.95350 | + | 16.3571i | 0.274907 | + | 0.755301i | ||||
\(470\) | −26.4649 | − | 27.3220i | −1.22074 | − | 1.26027i | ||||
\(471\) | −3.34746 | + | 18.9844i | −0.154243 | + | 0.874756i | ||||
\(472\) | −1.16345 | + | 8.56132i | −0.0535521 | + | 0.394067i | ||||
\(473\) | −7.15065 | + | 6.00011i | −0.328787 | + | 0.275885i | ||||
\(474\) | 6.99213 | − | 4.73173i | 0.321159 | − | 0.217335i | ||||
\(475\) | −6.27833 | − | 10.3225i | −0.288070 | − | 0.473629i | ||||
\(476\) | −1.49505 | + | 3.73300i | −0.0685256 | + | 0.171102i | ||||
\(477\) | 3.49116 | + | 4.16060i | 0.159849 | + | 0.190501i | ||||
\(478\) | 7.72217 | + | 30.7727i | 0.353204 | + | 1.40751i | ||||
\(479\) | 1.98083 | − | 11.2338i | 0.0905065 | − | 0.513288i | −0.905526 | − | 0.424292i | \(-0.860523\pi\) |
0.996032 | − | 0.0889959i | \(-0.0283658\pi\) | |||||||
\(480\) | −15.7697 | + | 0.119793i | −0.719783 | + | 0.00546779i | ||||
\(481\) | −11.4295 | + | 4.16000i | −0.521140 | + | 0.189680i | ||||
\(482\) | 32.0840 | − | 2.29252i | 1.46139 | − | 0.104421i | ||||
\(483\) | 4.20660 | − | 2.42868i | 0.191407 | − | 0.110509i | ||||
\(484\) | −17.5158 | + | 9.38170i | −0.796173 | + | 0.426441i | ||||
\(485\) | 29.3547 | − | 34.9835i | 1.33293 | − | 1.58852i | ||||
\(486\) | −1.27203 | − | 0.618019i | −0.0577003 | − | 0.0280339i | ||||
\(487\) | 11.3671 | − | 19.6884i | 0.515092 | − | 0.892166i | −0.484755 | − | 0.874650i | \(-0.661091\pi\) |
0.999847 | − | 0.0175154i | \(-0.00557560\pi\) | |||||||
\(488\) | −3.44384 | − | 5.45580i | −0.155895 | − | 0.246972i | ||||
\(489\) | −1.79707 | − | 10.1917i | −0.0812661 | − | 0.460883i | ||||
\(490\) | 4.20700 | + | 9.41058i | 0.190053 | + | 0.425127i | ||||
\(491\) | 4.60913 | − | 12.6635i | 0.208007 | − | 0.571495i | −0.791190 | − | 0.611571i | \(-0.790538\pi\) |
0.999197 | + | 0.0400763i | \(0.0127601\pi\) | |||||||
\(492\) | 6.45949 | − | 2.12054i | 0.291216 | − | 0.0956012i | ||||
\(493\) | − | 3.26767i | − | 0.147169i | ||||||
\(494\) | −18.4197 | + | 5.07215i | −0.828740 | + | 0.228207i | ||||
\(495\) | 2.87691 | 0.129308 | ||||||||
\(496\) | −22.7711 | − | 1.45331i | −1.02245 | − | 0.0652556i | ||||
\(497\) | 8.63654 | + | 3.14344i | 0.387402 | + | 0.141003i | ||||
\(498\) | 18.5051 | − | 8.27269i | 0.829232 | − | 0.370708i | ||||
\(499\) | −6.06861 | + | 1.07006i | −0.271668 | + | 0.0479024i | −0.307823 | − | 0.951444i | \(-0.599600\pi\) |
0.0361544 | + | 0.999346i | \(0.488489\pi\) | |||||||
\(500\) | −12.4174 | − | 0.395851i | −0.555321 | − | 0.0177030i | ||||
\(501\) | −16.5484 | − | 9.55424i | −0.739329 | − | 0.426852i | ||||
\(502\) | 22.6491 | + | 11.0041i | 1.01088 | + | 0.491138i | ||||
\(503\) | 22.3714 | + | 18.7718i | 0.997490 | + | 0.836993i | 0.986635 | − | 0.162948i | \(-0.0521002\pi\) |
0.0108550 | + | 0.999941i | \(0.496545\pi\) | |||||||
\(504\) | 5.24241 | + | 2.75686i | 0.233516 | + | 0.122801i | ||||
\(505\) | −22.3617 | − | 38.7316i | −0.995082 | − | 1.72353i | ||||
\(506\) | −0.241266 | − | 3.37654i | −0.0107256 | − | 0.150106i | ||||
\(507\) | 1.16097 | + | 3.18975i | 0.0515607 | + | 0.141662i | ||||
\(508\) | −21.4479 | − | 4.49083i | −0.951599 | − | 0.199248i | ||||
\(509\) | 6.46829 | + | 1.14053i | 0.286702 | + | 0.0505533i | 0.315150 | − | 0.949042i | \(-0.397945\pi\) |
−0.0284476 | + | 0.999595i | \(0.509056\pi\) | |||||||
\(510\) | 0.921329 | + | 3.67148i | 0.0407971 | + | 0.162576i | ||||
\(511\) | −15.1337 | + | 12.6987i | −0.669475 | + | 0.561756i | ||||
\(512\) | −18.1224 | + | 13.5491i | −0.800905 | + | 0.598792i | ||||
\(513\) | −2.87738 | − | 3.27425i | −0.127039 | − | 0.144562i | ||||
\(514\) | −14.9237 | − | 22.0530i | −0.658257 | − | 0.972715i | ||||
\(515\) | −11.7243 | − | 13.9725i | −0.516635 | − | 0.615702i | ||||
\(516\) | −12.0641 | + | 13.4807i | −0.531093 | + | 0.593455i | ||||
\(517\) | 9.80529 | + | 1.72894i | 0.431236 | + | 0.0760385i | ||||
\(518\) | 8.08637 | + | 8.34826i | 0.355295 | + | 0.366802i | ||||
\(519\) | 16.6096 | − | 6.04538i | 0.729078 | − | 0.265363i | ||||
\(520\) | 7.44575 | − | 23.2761i | 0.326518 | − | 1.02072i | ||||
\(521\) | −16.9413 | − | 29.3431i | −0.742210 | − | 1.28555i | −0.951487 | − | 0.307689i | \(-0.900444\pi\) |
0.209277 | − | 0.977856i | \(-0.432889\pi\) | |||||||
\(522\) | −4.78752 | − | 0.495835i | −0.209544 | − | 0.0217021i | ||||
\(523\) | 8.76581 | − | 10.4467i | 0.383302 | − | 0.456802i | −0.539551 | − | 0.841953i | \(-0.681406\pi\) |
0.922854 | + | 0.385151i | \(0.125851\pi\) | |||||||
\(524\) | 3.48693 | + | 24.2754i | 0.152327 | + | 1.06047i | ||||
\(525\) | −5.02681 | − | 2.90223i | −0.219388 | − | 0.126664i | ||||
\(526\) | 6.76537 | + | 4.89964i | 0.294984 | + | 0.213635i | ||||
\(527\) | 0.951052 | + | 5.39368i | 0.0414285 | + | 0.234953i | ||||
\(528\) | 3.32472 | − | 2.44656i | 0.144690 | − | 0.106473i | ||||
\(529\) | 16.5573 | + | 6.02635i | 0.719881 | + | 0.262015i | ||||
\(530\) | −20.5924 | − | 5.87094i | −0.894478 | − | 0.255017i | ||||
\(531\) | − | 3.05470i | − | 0.132563i | ||||||
\(532\) | 11.6082 | + | 14.0904i | 0.503278 | + | 0.610898i | ||||
\(533\) | 10.5355i | 0.456342i | ||||||||
\(534\) | −0.389683 | + | 1.36682i | −0.0168632 | + | 0.0591480i | ||||
\(535\) | 32.5070 | + | 11.8316i | 1.40540 | + | 0.511524i | ||||
\(536\) | 23.4922 | − | 0.927585i | 1.01471 | − | 0.0400656i | ||||
\(537\) | −1.56079 | − | 8.85165i | −0.0673529 | − | 0.381977i | ||||
\(538\) | −12.3242 | + | 17.0171i | −0.531334 | + | 0.733660i | ||||
\(539\) | −2.33670 | − | 1.34910i | −0.100649 | − | 0.0581097i | ||||
\(540\) | 5.51893 | − | 0.792744i | 0.237497 | − | 0.0341143i | ||||
\(541\) | 6.23407 | − | 7.42948i | 0.268024 | − | 0.319418i | −0.615199 | − | 0.788372i | \(-0.710924\pi\) |
0.883223 | + | 0.468953i | \(0.155369\pi\) | |||||||
\(542\) | 4.11898 | − | 39.7706i | 0.176925 | − | 1.70829i | ||||
\(543\) | −10.0498 | − | 17.4067i | −0.431277 | − | 0.746995i | ||||
\(544\) | 4.18700 | + | 3.45945i | 0.179516 | + | 0.148323i | ||||
\(545\) | 3.49760 | − | 1.27302i | 0.149821 | − | 0.0545303i | ||||
\(546\) | −6.59290 | + | 6.38607i | −0.282150 | + | 0.273299i | ||||
\(547\) | 18.6027 | + | 3.28016i | 0.795394 | + | 0.140249i | 0.556556 | − | 0.830810i | \(-0.312122\pi\) |
0.238838 | + | 0.971059i | \(0.423233\pi\) | |||||||
\(548\) | −14.9327 | + | 16.6861i | −0.637891 | + | 0.712794i | ||||
\(549\) | 1.46623 | + | 1.74739i | 0.0625774 | + | 0.0745768i | ||||
\(550\) | −3.35018 | + | 2.26714i | −0.142852 | + | 0.0966710i | ||||
\(551\) | −13.0136 | − | 7.12216i | −0.554397 | − | 0.303414i | ||||
\(552\) | −1.39325 | − | 6.41091i | −0.0593007 | − | 0.272867i | ||||
\(553\) | 9.57690 | − | 8.03597i | 0.407251 | − | 0.341724i | ||||
\(554\) | −20.0757 | + | 5.03784i | −0.852935 | + | 0.214037i | ||||
\(555\) | 10.7744 | + | 1.89981i | 0.457347 | + | 0.0806426i | ||||
\(556\) | −5.87374 | + | 28.0526i | −0.249102 | + | 1.18970i | ||||
\(557\) | −8.65678 | − | 23.7843i | −0.366799 | − | 1.00777i | −0.976571 | − | 0.215196i | \(-0.930961\pi\) |
0.609772 | − | 0.792577i | \(-0.291261\pi\) | |||||||
\(558\) | 8.04667 | − | 0.574964i | 0.340643 | − | 0.0243402i | ||||
\(559\) | −14.0170 | − | 24.2782i | −0.592856 | − | 1.02686i | ||||
\(560\) | −23.2088 | + | 2.58204i | −0.980752 | + | 0.109111i | ||||
\(561\) | −0.759010 | − | 0.636885i | −0.0320454 | − | 0.0268893i | ||||
\(562\) | 4.34469 | − | 8.94239i | 0.183270 | − | 0.377212i | ||||
\(563\) | −9.18809 | − | 5.30474i | −0.387232 | − | 0.223568i | 0.293728 | − | 0.955889i | \(-0.405104\pi\) |
−0.680960 | + | 0.732321i | \(0.738437\pi\) | |||||||
\(564\) | 19.2864 | + | 0.614829i | 0.812104 | + | 0.0258890i | ||||
\(565\) | −31.2081 | + | 5.50284i | −1.31294 | + | 0.231506i | ||||
\(566\) | −16.8295 | − | 37.6457i | −0.707398 | − | 1.58237i | ||||
\(567\) | −1.96784 | − | 0.716236i | −0.0826416 | − | 0.0300791i | ||||
\(568\) | 7.59785 | − | 9.81671i | 0.318799 | − | 0.411900i | ||||
\(569\) | −11.8869 | −0.498326 | −0.249163 | − | 0.968462i | \(-0.580156\pi\) | ||||
−0.249163 | + | 0.968462i | \(0.580156\pi\) | |||||||
\(570\) | 16.6298 | + | 4.33307i | 0.696548 | + | 0.181492i | ||||
\(571\) | 10.7383i | 0.449386i | 0.974430 | + | 0.224693i | \(0.0721379\pi\) | ||||
−0.974430 | + | 0.224693i | \(0.927862\pi\) | |||||||
\(572\) | 1.99517 | + | 6.07761i | 0.0834224 | + | 0.254118i | ||||
\(573\) | 6.96437 | − | 19.1344i | 0.290941 | − | 0.799353i | ||||
\(574\) | 9.19069 | − | 4.10870i | 0.383612 | − | 0.171494i | ||||
\(575\) | 1.11641 | + | 6.33147i | 0.0465575 | + | 0.264041i | ||||
\(576\) | 5.70382 | − | 5.60949i | 0.237659 | − | 0.233729i | ||||
\(577\) | 1.17003 | − | 2.02656i | 0.0487092 | − | 0.0843667i | −0.840643 | − | 0.541590i | \(-0.817823\pi\) |
0.889352 | + | 0.457223i | \(0.151156\pi\) | |||||||
\(578\) | −9.93660 | + | 20.4519i | −0.413308 | + | 0.850685i | ||||
\(579\) | −11.0424 | + | 13.1598i | −0.458907 | + | 0.546904i | ||||
\(580\) | 16.7276 | − | 8.95951i | 0.694574 | − | 0.372023i | ||||
\(581\) | 25.9941 | − | 15.0077i | 1.07842 | − | 0.622624i | ||||
\(582\) | 1.65114 | + | 23.1078i | 0.0684419 | + | 0.957850i | ||||
\(583\) | 5.26690 | − | 1.91700i | 0.218133 | − | 0.0793938i | ||||
\(584\) | 10.1082 | + | 24.6940i | 0.418281 | + | 1.02185i | ||||
\(585\) | −1.50034 | + | 8.50888i | −0.0620316 | + | 0.351799i | ||||
\(586\) | 26.7887 | − | 6.72242i | 1.10663 | − | 0.277700i | ||||
\(587\) | −17.3895 | − | 20.7240i | −0.717743 | − | 0.855373i | 0.276667 | − | 0.960966i | \(-0.410770\pi\) |
−0.994409 | + | 0.105593i | \(0.966326\pi\) | |||||||
\(588\) | −4.85437 | − | 1.94415i | −0.200191 | − | 0.0801756i | ||||
\(589\) | 23.5534 | + | 7.96838i | 0.970499 | + | 0.328331i | ||||
\(590\) | 6.74967 | + | 9.97408i | 0.277879 | + | 0.410626i | ||||
\(591\) | −6.85379 | + | 5.75102i | −0.281927 | + | 0.236565i | ||||
\(592\) | 14.0671 | − | 6.96711i | 0.578153 | − | 0.286346i | ||||
\(593\) | −5.47915 | + | 31.0738i | −0.225002 | + | 1.27605i | 0.637680 | + | 0.770302i | \(0.279894\pi\) |
−0.862682 | + | 0.505747i | \(0.831217\pi\) | |||||||
\(594\) | −1.04828 | + | 1.01540i | −0.0430115 | + | 0.0416622i | ||||
\(595\) | 1.91709 | + | 5.26717i | 0.0785931 | + | 0.215933i | ||||
\(596\) | −35.1250 | + | 27.6149i | −1.43877 | + | 1.13115i | ||||
\(597\) | −19.8417 | + | 11.4556i | −0.812065 | + | 0.468846i | ||||
\(598\) | 10.1124 | + | 1.04733i | 0.413527 | + | 0.0428284i | ||||
\(599\) | 16.3714 | + | 13.7372i | 0.668916 | + | 0.561287i | 0.912744 | − | 0.408531i | \(-0.133959\pi\) |
−0.243828 | + | 0.969818i | \(0.578403\pi\) | |||||||
\(600\) | −5.80210 | + | 5.27232i | −0.236870 | + | 0.215241i | ||||
\(601\) | 5.98104 | − | 10.3595i | 0.243972 | − | 0.422571i | −0.717870 | − | 0.696177i | \(-0.754883\pi\) |
0.961842 | + | 0.273606i | \(0.0882163\pi\) | |||||||
\(602\) | −15.7128 | + | 21.6960i | −0.640405 | + | 0.884264i | ||||
\(603\) | −8.18593 | + | 1.44340i | −0.333357 | + | 0.0587798i | ||||
\(604\) | 14.3803 | + | 8.92518i | 0.585127 | + | 0.363160i | ||||
\(605\) | −9.47286 | + | 26.0265i | −0.385127 | + | 1.05813i | ||||
\(606\) | 21.8182 | + | 6.22042i | 0.886306 | + | 0.252687i | ||||
\(607\) | 29.8314 | 1.21082 | 0.605409 | − | 0.795915i | \(-0.293010\pi\) | ||||
0.605409 | + | 0.795915i | \(0.293010\pi\) | |||||||
\(608\) | 22.9032 | − | 9.13466i | 0.928849 | − | 0.370459i | ||||
\(609\) | −7.12716 | −0.288807 | ||||||||
\(610\) | −8.64851 | − | 2.46571i | −0.350168 | − | 0.0998335i | ||||
\(611\) | −10.2271 | + | 28.0989i | −0.413746 | + | 1.13676i | ||||
\(612\) | −1.63154 | − | 1.01262i | −0.0659513 | − | 0.0409328i | ||||
\(613\) | 5.67036 | − | 0.999838i | 0.229024 | − | 0.0403831i | −0.0579584 | − | 0.998319i | \(-0.518459\pi\) |
0.286982 | + | 0.957936i | \(0.407348\pi\) | |||||||
\(614\) | 3.66830 | − | 5.06514i | 0.148040 | − | 0.204412i | ||||
\(615\) | 4.73831 | − | 8.20699i | 0.191067 | − | 0.330938i | ||||
\(616\) | 4.52376 | − | 4.11070i | 0.182267 | − | 0.165625i | ||||
\(617\) | 35.9381 | + | 30.1556i | 1.44681 | + | 1.21402i | 0.934864 | + | 0.355005i | \(0.115521\pi\) |
0.511949 | + | 0.859016i | \(0.328924\pi\) | |||||||
\(618\) | 9.20361 | + | 0.953203i | 0.370223 | + | 0.0383435i | ||||
\(619\) | 10.2047 | − | 5.89167i | 0.410161 | − | 0.236806i | −0.280698 | − | 0.959796i | \(-0.590566\pi\) |
0.690859 | + | 0.722990i | \(0.257233\pi\) | |||||||
\(620\) | −25.0032 | + | 19.6573i | −1.00415 | + | 0.789455i | ||||
\(621\) | 0.793318 | + | 2.17962i | 0.0318348 | + | 0.0874653i | ||||
\(622\) | 11.9228 | − | 11.5488i | 0.478061 | − | 0.463064i | ||||
\(623\) | −0.365460 | + | 2.07263i | −0.0146419 | + | 0.0830381i | ||||
\(624\) | 5.50215 | + | 11.1092i | 0.220262 | + | 0.444725i | ||||
\(625\) | −23.8823 | + | 20.0396i | −0.955292 | + | 0.801585i | ||||
\(626\) | 17.3225 | + | 25.5977i | 0.692347 | + | 1.02309i | ||||
\(627\) | −4.19073 | + | 1.63463i | −0.167362 | + | 0.0652809i | ||||
\(628\) | 35.7909 | + | 14.3341i | 1.42821 | + | 0.571993i | ||||
\(629\) | −2.42200 | − | 2.88643i | −0.0965716 | − | 0.115090i | ||||
\(630\) | 8.00790 | − | 2.00952i | 0.319042 | − | 0.0800612i | ||||
\(631\) | −1.91609 | + | 10.8667i | −0.0762782 | + | 0.432595i | 0.922622 | + | 0.385706i | \(0.126042\pi\) |
−0.998900 | + | 0.0468895i | \(0.985069\pi\) | |||||||
\(632\) | −6.39667 | − | 15.6269i | −0.254446 | − | 0.621604i | ||||
\(633\) | 20.2567 | − | 7.37283i | 0.805131 | − | 0.293044i | ||||
\(634\) | 0.588050 | + | 8.22981i | 0.0233545 | + | 0.326848i | ||||
\(635\) | −26.4523 | + | 15.2722i | −1.04973 | + | 0.606061i | ||||
\(636\) | 9.57554 | − | 5.12878i | 0.379695 | − | 0.203370i | ||||
\(637\) | 5.20876 | − | 6.20756i | 0.206378 | − | 0.245952i | ||||
\(638\) | −2.17060 | + | 4.46761i | −0.0859350 | + | 0.176874i | ||||
\(639\) | −2.19442 | + | 3.80084i | −0.0868099 | + | 0.150359i | ||||
\(640\) | −6.22912 | + | 30.9190i | −0.246228 | + | 1.22218i | ||||
\(641\) | 7.57684 | + | 42.9704i | 0.299267 | + | 1.69723i | 0.649334 | + | 0.760504i | \(0.275048\pi\) |
−0.350066 | + | 0.936725i | \(0.613841\pi\) | |||||||
\(642\) | −16.0207 | + | 7.16207i | −0.632288 | + | 0.282664i | ||||
\(643\) | 8.33026 | − | 22.8872i | 0.328513 | − | 0.902583i | −0.659975 | − | 0.751287i | \(-0.729433\pi\) |
0.988489 | − | 0.151296i | \(-0.0483445\pi\) | |||||||
\(644\) | −3.03007 | − | 9.23008i | −0.119402 | − | 0.363716i | ||||
\(645\) | 25.2165i | 0.992898i | ||||||||
\(646\) | −3.42817 | − | 4.82466i | −0.134880 | − | 0.189824i | ||||
\(647\) | −23.0062 | −0.904467 | −0.452234 | − | 0.891899i | \(-0.649373\pi\) | ||||
−0.452234 | + | 0.891899i | \(0.649373\pi\) | |||||||
\(648\) | −1.73118 | + | 2.23674i | −0.0680071 | + | 0.0878676i | ||||
\(649\) | −2.96225 | − | 1.07817i | −0.116279 | − | 0.0423219i | ||||
\(650\) | −4.95822 | − | 11.0910i | −0.194477 | − | 0.435023i | ||||
\(651\) | 11.7642 | − | 2.07435i | 0.461076 | − | 0.0813002i | ||||
\(652\) | −20.6873 | − | 0.659487i | −0.810176 | − | 0.0258275i | ||||
\(653\) | 10.3956 | + | 6.00193i | 0.406813 | + | 0.234874i | 0.689419 | − | 0.724362i | \(-0.257866\pi\) |
−0.282606 | + | 0.959236i | \(0.591199\pi\) | |||||||
\(654\) | −0.825137 | + | 1.69833i | −0.0322654 | + | 0.0664098i | ||||
\(655\) | 26.1869 | + | 21.9735i | 1.02321 | + | 0.858574i | ||||
\(656\) | −1.50346 | − | 13.5139i | −0.0587002 | − | 0.527631i | ||||
\(657\) | −4.71690 | − | 8.16990i | −0.184024 | − | 0.318738i | ||||
\(658\) | 28.5007 | − | 2.03648i | 1.11107 | − | 0.0793902i | ||||
\(659\) | 10.8725 | + | 29.8720i | 0.423533 | + | 1.16365i | 0.949671 | + | 0.313249i | \(0.101417\pi\) |
−0.526138 | + | 0.850399i | \(0.676360\pi\) | |||||||
\(660\) | 1.17918 | − | 5.63170i | 0.0458996 | − | 0.219214i | ||||
\(661\) | −18.1081 | − | 3.19295i | −0.704325 | − | 0.124192i | −0.189997 | − | 0.981785i | \(-0.560848\pi\) |
−0.514329 | + | 0.857593i | \(0.671959\pi\) | |||||||
\(662\) | −20.6555 | + | 5.18333i | −0.802798 | + | 0.201456i | ||||
\(663\) | 2.27951 | − | 1.91274i | 0.0885288 | − | 0.0742845i | ||||
\(664\) | −8.60941 | − | 39.6154i | −0.334110 | − | 1.53737i | ||||
\(665\) | 25.1551 | + | 3.84535i | 0.975471 | + | 0.149116i | ||||
\(666\) | −4.59647 | + | 3.11053i | −0.178109 | + | 0.120530i | ||||
\(667\) | 5.07429 | + | 6.04730i | 0.196477 | + | 0.234153i | ||||
\(668\) | −25.4857 | + | 28.4783i | −0.986072 | + | 1.10186i | ||||
\(669\) | 4.32288 | + | 0.762240i | 0.167132 | + | 0.0294699i | ||||
\(670\) | 23.5390 | − | 22.8005i | 0.909389 | − | 0.880861i | ||||
\(671\) | 2.21202 | − | 0.805109i | 0.0853940 | − | 0.0310809i | ||||
\(672\) | 7.54544 | − | 9.13230i | 0.291072 | − | 0.352286i | ||||
\(673\) | −10.8644 | − | 18.8177i | −0.418791 | − | 0.725367i | 0.577027 | − | 0.816725i | \(-0.304213\pi\) |
−0.995818 | + | 0.0913576i | \(0.970879\pi\) | |||||||
\(674\) | −1.54381 | + | 14.9062i | −0.0594654 | + | 0.574166i | ||||
\(675\) | 1.78166 | − | 2.12330i | 0.0685761 | − | 0.0817258i | ||||
\(676\) | 6.71995 | − | 0.965258i | 0.258460 | − | 0.0371253i | ||||
\(677\) | −22.6174 | − | 13.0582i | −0.869257 | − | 0.501866i | −0.00215585 | − | 0.999998i | \(-0.500686\pi\) |
−0.867101 | + | 0.498132i | \(0.834020\pi\) | |||||||
\(678\) | 9.42932 | − | 13.0199i | 0.362131 | − | 0.500026i | ||||
\(679\) | 5.95696 | + | 33.7836i | 0.228607 | + | 1.29649i | ||||
\(680\) | 7.56473 | − | 0.298692i | 0.290094 | − | 0.0114543i | ||||
\(681\) | 16.5508 | + | 6.02399i | 0.634227 | + | 0.230840i | ||||
\(682\) | 2.28255 | − | 8.00607i | 0.0874032 | − | 0.306568i | ||||
\(683\) | − | 31.3001i | − | 1.19767i | −0.800874 | − | 0.598833i | \(-0.795631\pi\) | ||
0.800874 | − | 0.598833i | \(-0.204369\pi\) | |||||||
\(684\) | −7.58887 | + | 4.29057i | −0.290168 | + | 0.164054i | ||||
\(685\) | 31.2123i | 1.19256i | ||||||||
\(686\) | −27.3830 | − | 7.80695i | −1.04549 | − | 0.298071i | ||||
\(687\) | −23.8053 | − | 8.66443i | −0.908230 | − | 0.330569i | ||||
\(688\) | 21.4443 | + | 29.1415i | 0.817558 | + | 1.11101i | ||||
\(689\) | 2.92303 | + | 16.5773i | 0.111359 | + | 0.631546i | ||||
\(690\) | −7.40640 | − | 5.36389i | −0.281957 | − | 0.204200i | ||||
\(691\) | 7.30963 | + | 4.22022i | 0.278071 | + | 0.160545i | 0.632550 | − | 0.774519i | \(-0.282008\pi\) |
−0.354479 | + | 0.935064i | \(0.615342\pi\) | |||||||
\(692\) | −5.02626 | − | 34.9919i | −0.191070 | − | 1.33019i | ||||
\(693\) | −1.38912 | + | 1.65549i | −0.0527682 | + | 0.0628867i | ||||
\(694\) | 25.0650 | + | 2.59594i | 0.951455 | + | 0.0985407i | ||||
\(695\) | 19.9752 | + | 34.5980i | 0.757702 | + | 1.31238i | ||||
\(696\) | −2.93292 | + | 9.16857i | −0.111172 | + | 0.347534i | ||||
\(697\) | −3.06694 | + | 1.11628i | −0.116169 | + | 0.0422820i | ||||
\(698\) | 13.7415 | + | 14.1866i | 0.520125 | + | 0.536970i | ||||
\(699\) | −13.6764 | − | 2.41152i | −0.517290 | − | 0.0912122i | ||||
\(700\) | −7.74163 | + | 8.65067i | −0.292606 | + | 0.326965i | ||||
\(701\) | −9.79934 | − | 11.6784i | −0.370116 | − | 0.441087i | 0.548553 | − | 0.836116i | \(-0.315179\pi\) |
−0.918669 | + | 0.395029i | \(0.870735\pi\) | |||||||
\(702\) | −2.45649 | − | 3.62998i | −0.0927141 | − | 0.137005i | ||||
\(703\) | −16.7742 | + | 3.35447i | −0.632652 | + | 0.126516i | ||||
\(704\) | −3.42653 | − | 7.51109i | −0.129142 | − | 0.283085i | ||||
\(705\) | 20.6042 | − | 17.2890i | 0.775999 | − | 0.651141i | ||||
\(706\) | 3.98346 | + | 15.8740i | 0.149919 | + | 0.597426i | ||||
\(707\) | 33.0849 | + | 5.83377i | 1.24429 | + | 0.219401i | ||||
\(708\) | −5.97974 | − | 1.25205i | −0.224732 | − | 0.0470551i | ||||
\(709\) | −4.39632 | − | 12.0788i | −0.165107 | − | 0.453628i | 0.829355 | − | 0.558722i | \(-0.188708\pi\) |
−0.994462 | + | 0.105094i | \(0.966486\pi\) | |||||||
\(710\) | −1.23323 | − | 17.2591i | −0.0462822 | − | 0.647723i | ||||
\(711\) | 2.98494 | + | 5.17008i | 0.111944 | + | 0.193893i | ||||
\(712\) | 2.51589 | + | 1.32305i | 0.0942871 | + | 0.0495834i | ||||
\(713\) | −10.1358 | − | 8.50493i | −0.379588 | − | 0.318512i | ||||
\(714\) | −2.55757 | − | 1.24260i | −0.0957147 | − | 0.0465033i | ||||
\(715\) | 7.72180 | + | 4.45818i | 0.288779 | + | 0.166727i | ||||
\(716\) | −17.9673 | − | 0.572776i | −0.671469 | − | 0.0214057i | ||||
\(717\) | −22.0934 | + | 3.89566i | −0.825094 | + | 0.145486i | ||||
\(718\) | 1.82129 | − | 0.814208i | 0.0679699 | − | 0.0303860i | ||||
\(719\) | −15.6338 | − | 5.69024i | −0.583043 | − | 0.212210i | 0.0336239 | − | 0.999435i | \(-0.489295\pi\) |
−0.616667 | + | 0.787224i | \(0.711517\pi\) | |||||||
\(720\) | 0.710251 | − | 11.1285i | 0.0264695 | − | 0.414735i | ||||
\(721\) | 13.7014 | 0.510266 | ||||||||
\(722\) | −26.6863 | + | 3.13703i | −0.993162 | + | 0.116748i | ||||
\(723\) | 22.7447i | 0.845883i | ||||||||
\(724\) | −38.1937 | + | 12.5383i | −1.41946 | + | 0.465983i | ||||
\(725\) | 3.22642 | − | 8.86452i | 0.119826 | − | 0.329220i | ||||
\(726\) | −5.73425 | − | 12.8269i | −0.212818 | − | 0.476049i | ||||
\(727\) | 0.217213 | + | 1.23188i | 0.00805598 | + | 0.0456878i | 0.988571 | − | 0.150758i | \(-0.0481713\pi\) |
−0.980515 | + | 0.196445i | \(0.937060\pi\) | |||||||
\(728\) | 9.79877 | + | 15.5234i | 0.363167 | + | 0.575337i | ||||
\(729\) | 0.500000 | − | 0.866025i | 0.0185185 | − | 0.0320750i | ||||
\(730\) | 33.4536 | + | 16.2535i | 1.23817 | + | 0.601570i | ||||
\(731\) | 5.58237 | − | 6.65281i | 0.206472 | − | 0.246063i | ||||
\(732\) | 4.02158 | − | 2.15401i | 0.148642 | − | 0.0796146i | ||||
\(733\) | 36.5021 | − | 21.0745i | 1.34824 | − | 0.778405i | 0.360237 | − | 0.932861i | \(-0.382696\pi\) |
0.988000 | + | 0.154456i | \(0.0493625\pi\) | |||||||
\(734\) | −38.3786 | + | 2.74229i | −1.41658 | + | 0.101220i | ||||
\(735\) | −6.84939 | + | 2.49297i | −0.252643 | + | 0.0919547i | ||||
\(736\) | −13.1207 | + | 0.0996709i | −0.483637 | + | 0.00367392i | ||||
\(737\) | −1.48954 | + | 8.44763i | −0.0548681 | + | 0.311172i | ||||
\(738\) | 1.17009 | + | 4.66280i | 0.0430718 | + | 0.171640i | ||||
\(739\) | 20.4734 | + | 24.3992i | 0.753126 | + | 0.897540i | 0.997393 | − | 0.0721679i | \(-0.0229917\pi\) |
−0.244267 | + | 0.969708i | \(0.578547\pi\) | |||||||
\(740\) | 8.13515 | − | 20.3127i | 0.299054 | − | 0.746709i | ||||
\(741\) | −2.64914 | − | 13.2472i | −0.0973186 | − | 0.486647i | ||||
\(742\) | 13.3214 | − | 9.01488i | 0.489044 | − | 0.330947i | ||||
\(743\) | 16.4767 | − | 13.8256i | 0.604470 | − | 0.507210i | −0.288409 | − | 0.957507i | \(-0.593126\pi\) |
0.892879 | + | 0.450297i | \(0.148682\pi\) | |||||||
\(744\) | 2.17263 | − | 15.9874i | 0.0796524 | − | 0.586128i | ||||
\(745\) | −10.8148 | + | 61.3337i | −0.396223 | + | 2.24709i | ||||
\(746\) | 12.7599 | + | 13.1732i | 0.467174 | + | 0.482304i | ||||
\(747\) | 4.90220 | + | 13.4687i | 0.179362 | + | 0.492794i | ||||
\(748\) | −1.55784 | + | 1.22476i | −0.0569601 | + | 0.0447815i | ||||
\(749\) | −22.5044 | + | 12.9929i | −0.822291 | + | 0.474750i | ||||
\(750\) | 0.904994 | − | 8.73812i | 0.0330457 | − | 0.319071i | ||||
\(751\) | −11.5356 | − | 9.67948i | −0.420938 | − | 0.353209i | 0.407582 | − | 0.913169i | \(-0.366372\pi\) |
−0.828520 | + | 0.559960i | \(0.810817\pi\) | |||||||
\(752\) | 9.10862 | − | 37.5021i | 0.332157 | − | 1.36756i | ||||
\(753\) | −8.90275 | + | 15.4200i | −0.324434 | + | 0.561936i | ||||
\(754\) | −12.0816 | − | 8.74978i | −0.439986 | − | 0.318648i | ||||
\(755\) | 23.2331 | − | 4.09663i | 0.845540 | − | 0.149092i | ||||
\(756\) | −2.20864 | + | 3.55858i | −0.0803275 | + | 0.129424i | ||||
\(757\) | 9.52178 | − | 26.1609i | 0.346075 | − | 0.950833i | −0.637519 | − | 0.770435i | \(-0.720039\pi\) |
0.983594 | − | 0.180398i | \(-0.0577387\pi\) | |||||||
\(758\) | 4.44649 | − | 15.5961i | 0.161504 | − | 0.566477i | ||||
\(759\) | 2.39366 | 0.0868844 | ||||||||
\(760\) | 15.2984 | − | 30.7777i | 0.554931 | − | 1.11643i | ||||
\(761\) | 39.1433 | 1.41894 | 0.709471 | − | 0.704734i | \(-0.248934\pi\) | ||||
0.709471 | + | 0.704734i | \(0.248934\pi\) | |||||||
\(762\) | 4.24833 | − | 14.9011i | 0.153901 | − | 0.539810i | ||||
\(763\) | −0.956270 | + | 2.62733i | −0.0346193 | + | 0.0951158i | ||||
\(764\) | −34.6021 | − | 21.4759i | −1.25186 | − | 0.776970i | ||||
\(765\) | −2.63596 | + | 0.464790i | −0.0953032 | + | 0.0168045i | ||||
\(766\) | −14.5079 | − | 10.5070i | −0.524194 | − | 0.379633i | ||||
\(767\) | 4.73369 | − | 8.19900i | 0.170924 | − | 0.296049i | ||||
\(768\) | −8.64299 | − | 13.4647i | −0.311877 | − | 0.485866i | ||||
\(769\) | 18.6611 | + | 15.6586i | 0.672938 | + | 0.564662i | 0.913933 | − | 0.405864i | \(-0.133029\pi\) |
−0.240995 | + | 0.970526i | \(0.577474\pi\) | |||||||
\(770\) | 0.877722 | − | 8.47480i | 0.0316309 | − | 0.305411i | ||||
\(771\) | 16.3063 | − | 9.41442i | 0.587256 | − | 0.339052i | ||||
\(772\) | 21.2350 | + | 27.0100i | 0.764263 | + | 0.972110i | ||||
\(773\) | 7.58524 | + | 20.8403i | 0.272822 | + | 0.749572i | 0.998129 | + | 0.0611466i | \(0.0194757\pi\) |
−0.725307 | + | 0.688426i | \(0.758302\pi\) | |||||||
\(774\) | −8.90006 | − | 9.18831i | −0.319906 | − | 0.330267i | ||||
\(775\) | −2.74558 | + | 15.5710i | −0.0986243 | + | 0.559326i | ||||
\(776\) | 45.9115 | + | 6.23918i | 1.64813 | + | 0.223974i | ||||
\(777\) | −6.29563 | + | 5.28266i | −0.225854 | + | 0.189514i | ||||
\(778\) | 0.377125 | − | 0.255209i | 0.0135206 | − | 0.00914968i | ||||
\(779\) | −2.23905 | + | 14.6472i | −0.0802224 | + | 0.524790i | ||||
\(780\) | 16.0416 | + | 6.42460i | 0.574381 | + | 0.230037i | ||||
\(781\) | 2.91128 | + | 3.46953i | 0.104174 | + | 0.124149i | ||||
\(782\) | 0.766568 | + | 3.05476i | 0.0274124 | + | 0.109238i | ||||
\(783\) | 0.590993 | − | 3.35169i | 0.0211204 | − | 0.119780i | ||||
\(784\) | −5.79547 | + | 8.70580i | −0.206981 | + | 0.310921i | ||||
\(785\) | 50.5000 | − | 18.3805i | 1.80242 | − | 0.656028i | ||||
\(786\) | −17.2974 | + | 1.23596i | −0.616977 | + | 0.0440852i | ||||
\(787\) | −34.4068 | + | 19.8648i | −1.22647 | + | 0.708103i | −0.966290 | − | 0.257456i | \(-0.917116\pi\) |
−0.260181 | + | 0.965560i | \(0.583782\pi\) | |||||||
\(788\) | 8.44868 | + | 15.7739i | 0.300972 | + | 0.561920i | ||||
\(789\) | −3.79671 | + | 4.52475i | −0.135167 | + | 0.161085i | ||||
\(790\) | −21.1701 | − | 10.2856i | −0.753198 | − | 0.365944i | ||||
\(791\) | 11.9023 | − | 20.6154i | 0.423197 | − | 0.732999i | ||||
\(792\) | 1.55802 | + | 2.46825i | 0.0553619 | + | 0.0877055i | ||||
\(793\) | 1.22763 | + | 6.96223i | 0.0435944 | + | 0.247236i | ||||
\(794\) | −7.06715 | − | 15.8084i | −0.250804 | − | 0.561019i | ||||
\(795\) | 5.17862 | − | 14.2281i | 0.183667 | − | 0.504620i | ||||
\(796\) | 14.2922 | + | 43.5364i | 0.506575 | + | 1.54311i | ||||
\(797\) | 12.6266i | 0.447257i | 0.974675 | + | 0.223628i | \(0.0717902\pi\) | ||||
−0.974675 | + | 0.223628i | \(0.928210\pi\) | |||||||
\(798\) | −10.5231 | + | 7.47722i | −0.372515 | + | 0.264691i | ||||
\(799\) | −9.26336 | −0.327714 | ||||||||
\(800\) | 7.94267 | + | 13.5189i | 0.280816 | + | 0.477965i | ||||
\(801\) | −0.944390 | − | 0.343730i | −0.0333684 | − | 0.0121451i | ||||
\(802\) | −20.7400 | + | 9.27184i | −0.732356 | + | 0.327400i | ||||
\(803\) | −9.58749 | + | 1.69053i | −0.338335 | + | 0.0596576i | ||||
\(804\) | −0.529698 | + | 16.6160i | −0.0186810 | + | 0.586000i | ||||
\(805\) | −11.7271 | − | 6.77065i | −0.413326 | − | 0.238634i | ||||
\(806\) | 22.4887 | + | 10.9262i | 0.792131 | + | 0.384859i | ||||
\(807\) | −11.3812 | − | 9.54997i | −0.400638 | − | 0.336175i | ||||
\(808\) | 21.1196 | − | 40.1607i | 0.742985 | − | 1.41285i | ||||
\(809\) | −13.5158 | − | 23.4101i | −0.475191 | − | 0.823055i | 0.524405 | − | 0.851469i | \(-0.324288\pi\) |
−0.999596 | + | 0.0284141i | \(0.990954\pi\) | |||||||
\(810\) | 0.280992 | + | 3.93250i | 0.00987305 | + | 0.138174i | ||||
\(811\) | 4.31964 | + | 11.8681i | 0.151683 | + | 0.416746i | 0.992140 | − | 0.125132i | \(-0.0399355\pi\) |
−0.840457 | + | 0.541878i | \(0.817713\pi\) | |||||||
\(812\) | −2.92126 | + | 13.9518i | −0.102516 | + | 0.489611i | ||||
\(813\) | 27.8430 | + | 4.90947i | 0.976496 | + | 0.172183i | ||||
\(814\) | 1.39404 | + | 5.55522i | 0.0488611 | + | 0.194711i | ||||
\(815\) | −22.1008 | + | 18.5448i | −0.774157 | + | 0.649595i | ||||
\(816\) | −2.65099 | + | 2.77878i | −0.0928033 | + | 0.0972767i | ||||
\(817\) | −14.3277 | − | 36.7323i | −0.501264 | − | 1.28510i | ||||
\(818\) | 17.8435 | + | 26.3676i | 0.623883 | + | 0.921921i | ||||
\(819\) | −4.17189 | − | 4.97186i | −0.145778 | − | 0.173731i | ||||
\(820\) | −14.1235 | − | 12.6393i | −0.493213 | − | 0.441384i | ||||
\(821\) | −20.7600 | − | 3.66055i | −0.724530 | − | 0.127754i | −0.200792 | − | 0.979634i | \(-0.564352\pi\) |
−0.523738 | + | 0.851880i | \(0.675463\pi\) | |||||||
\(822\) | −11.0163 | − | 11.3731i | −0.384237 | − | 0.396681i | ||||
\(823\) | 6.83501 | − | 2.48774i | 0.238254 | − | 0.0867172i | −0.220134 | − | 0.975470i | \(-0.570649\pi\) |
0.458387 | + | 0.888752i | \(0.348427\pi\) | |||||||
\(824\) | 5.63829 | − | 17.6258i | 0.196419 | − | 0.614025i | ||||
\(825\) | −1.43019 | − | 2.47716i | −0.0497929 | − | 0.0862438i | ||||
\(826\) | −8.99854 | − | 0.931964i | −0.313099 | − | 0.0324272i | ||||
\(827\) | −27.7840 | + | 33.1117i | −0.966144 | + | 1.15141i | 0.0222897 | + | 0.999752i | \(0.492904\pi\) |
−0.988434 | + | 0.151654i | \(0.951540\pi\) | |||||||
\(828\) | 4.59189 | − | 0.659582i | 0.159579 | − | 0.0229221i | ||||
\(829\) | −43.3631 | − | 25.0357i | −1.50606 | − | 0.869525i | −0.999975 | − | 0.00704309i | \(-0.997758\pi\) |
−0.506087 | − | 0.862482i | \(-0.668909\pi\) | |||||||
\(830\) | −45.7668 | − | 33.1454i | −1.58859 | − | 1.15049i | ||||
\(831\) | −2.54148 | − | 14.4135i | −0.0881630 | − | 0.499997i | ||||
\(832\) | 24.0021 | − | 6.21732i | 0.832122 | − | 0.215547i | ||||
\(833\) | 2.35895 | + | 0.858587i | 0.0817327 | + | 0.0297483i | ||||
\(834\) | −19.4897 | − | 5.55656i | −0.674874 | − | 0.192408i | ||||
\(835\) | 53.2704i | 1.84350i | ||||||||
\(836\) | 1.48219 | + | 8.87357i | 0.0512626 | + | 0.306899i | ||||
\(837\) | 5.70436i | 0.197172i | ||||||||
\(838\) | 3.58117 | − | 12.5610i | 0.123709 | − | 0.433913i | ||||
\(839\) | 3.88712 | + | 1.41480i | 0.134198 | + | 0.0488442i | 0.408246 | − | 0.912872i | \(-0.366140\pi\) |
−0.274048 | + | 0.961716i | \(0.588363\pi\) | |||||||
\(840\) | −0.651481 | − | 16.4995i | −0.0224782 | − | 0.569287i | ||||
\(841\) | 3.02442 | + | 17.1523i | 0.104290 | + | 0.591459i | ||||
\(842\) | 7.82918 | − | 10.8104i | 0.269811 | − | 0.372552i | ||||
\(843\) | 6.08818 | + | 3.51501i | 0.209688 | + | 0.121064i | ||||
\(844\) | −6.12992 | − | 42.6754i | −0.211001 | − | 1.46895i | ||||
\(845\) | 6.08273 | − | 7.24911i | 0.209252 | − | 0.249377i | ||||
\(846\) | −1.40562 | + | 13.5719i | −0.0483262 | + | 0.466611i | ||||
\(847\) | −10.4027 | − | 18.0179i | −0.357439 | − | 0.619103i | ||||
\(848\) | −6.11506 | − | 20.8468i | −0.209992 | − | 0.715881i | ||||
\(849\) | 27.4000 | − | 9.97278i | 0.940365 | − | 0.342265i | ||||
\(850\) | 2.70330 | − | 2.61850i | 0.0927226 | − | 0.0898138i | ||||
\(851\) | 8.96454 | + | 1.58069i | 0.307300 | + | 0.0541854i | ||||
\(852\) | 6.54090 | + | 5.85356i | 0.224088 | + | 0.200540i | ||||
\(853\) | 5.78741 | + | 6.89717i | 0.198157 | + | 0.236155i | 0.855968 | − | 0.517028i | \(-0.172962\pi\) |
−0.657811 | + | 0.753183i | \(0.728517\pi\) | |||||||
\(854\) | 5.59479 | − | 3.78611i | 0.191450 | − | 0.129558i | ||||
\(855\) | −3.89424 | + | 11.5108i | −0.133180 | + | 0.393661i | ||||
\(856\) | 7.45358 | + | 34.2969i | 0.254758 | + | 1.17225i | ||||
\(857\) | 41.2490 | − | 34.6120i | 1.40904 | − | 1.18233i | 0.452126 | − | 0.891954i | \(-0.350666\pi\) |
0.956914 | − | 0.290371i | \(-0.0937787\pi\) | |||||||
\(858\) | −4.38714 | + | 1.10092i | −0.149775 | + | 0.0375848i | ||||
\(859\) | 27.5318 | + | 4.85460i | 0.939373 | + | 0.165637i | 0.622313 | − | 0.782769i | \(-0.286193\pi\) |
0.317060 | + | 0.948405i | \(0.397304\pi\) | |||||||
\(860\) | 49.3625 | + | 10.3357i | 1.68325 | + | 0.352443i | ||||
\(861\) | 2.43472 | + | 6.68934i | 0.0829751 | + | 0.227972i | ||||
\(862\) | 2.29330 | − | 0.163865i | 0.0781102 | − | 0.00558126i | ||||
\(863\) | −3.89150 | − | 6.74028i | −0.132468 | − | 0.229442i | 0.792159 | − | 0.610315i | \(-0.208957\pi\) |
−0.924627 | + | 0.380873i | \(0.875624\pi\) | |||||||
\(864\) | 3.66897 | + | 4.30566i | 0.124821 | + | 0.146481i | ||||
\(865\) | −37.7473 | − | 31.6738i | −1.28345 | − | 1.07694i | ||||
\(866\) | 19.5562 | − | 40.2512i | 0.664546 | − | 1.36779i | ||||
\(867\) | −13.9241 | − | 8.03908i | −0.472887 | − | 0.273022i | ||||
\(868\) | 0.761244 | − | 23.8793i | 0.0258383 | − | 0.810515i | ||||
\(869\) | 6.06715 | − | 1.06980i | 0.205814 | − | 0.0362906i | ||||
\(870\) | 5.47620 | + | 12.2496i | 0.185661 | + | 0.415301i | ||||
\(871\) | −24.2082 | − | 8.81108i | −0.820265 | − | 0.298552i | ||||
\(872\) | 2.98635 | + | 2.31135i | 0.101131 | + | 0.0782722i | ||||
\(873\) | −16.3814 | −0.554425 | ||||||||
\(874\) | 13.8364 | + | 3.60521i | 0.468024 | + | 0.121948i | ||||
\(875\) | − | 13.0084i | − | 0.439765i | ||||||
\(876\) | −17.9263 | + | 5.88490i | −0.605675 | + | 0.198832i | ||||
\(877\) | 7.84447 | − | 21.5525i | 0.264889 | − | 0.727777i | −0.733931 | − | 0.679223i | \(-0.762317\pi\) |
0.998821 | − | 0.0485533i | \(-0.0154611\pi\) | |||||||
\(878\) | 9.61371 | − | 4.29781i | 0.324447 | − | 0.145044i | ||||
\(879\) | 3.39131 | + | 19.2331i | 0.114386 | + | 0.648716i | ||||
\(880\) | −10.5410 | − | 4.61661i | −0.355338 | − | 0.155626i | ||||
\(881\) | 20.9027 | − | 36.2045i | 0.704230 | − | 1.21976i | −0.262739 | − | 0.964867i | \(-0.584626\pi\) |
0.966969 | − | 0.254895i | \(-0.0820409\pi\) | |||||||
\(882\) | 1.61587 | − | 3.32585i | 0.0544093 | − | 0.111987i | ||||
\(883\) | −14.4098 | + | 17.1729i | −0.484929 | + | 0.577915i | −0.951920 | − | 0.306346i | \(-0.900893\pi\) |
0.466992 | + | 0.884262i | \(0.345338\pi\) | |||||||
\(884\) | −2.80996 | − | 5.24624i | −0.0945091 | − | 0.176450i | ||||
\(885\) | −7.37496 | + | 4.25794i | −0.247907 | + | 0.143129i | ||||
\(886\) | −2.45985 | − | 34.4258i | −0.0826402 | − | 1.15656i | ||||
\(887\) | 13.7991 | − | 5.02246i | 0.463328 | − | 0.168638i | −0.0997995 | − | 0.995008i | \(-0.531820\pi\) |
0.563128 | + | 0.826370i | \(0.309598\pi\) | |||||||
\(888\) | 4.20502 | + | 10.2727i | 0.141111 | + | 0.344731i | ||||
\(889\) | 3.98426 | − | 22.5959i | 0.133628 | − | 0.757841i | ||||
\(890\) | 3.84308 | − | 0.964392i | 0.128820 | − | 0.0323265i | ||||
\(891\) | −0.663337 | − | 0.790535i | −0.0222226 | − | 0.0264839i | ||||
\(892\) | 3.26397 | − | 8.14982i | 0.109286 | − | 0.272876i | ||||
\(893\) | −20.1902 | + | 36.8915i | −0.675641 | + | 1.23453i | ||||
\(894\) | −17.7068 | − | 26.1656i | −0.592205 | − | 0.875110i | ||||
\(895\) | −19.1949 | + | 16.1065i | −0.641616 | + | 0.538380i | ||||
\(896\) | −14.7842 | − | 18.5137i | −0.493907 | − | 0.618499i | ||||
\(897\) | −1.24832 | + | 7.07959i | −0.0416803 | + | 0.236381i | ||||
\(898\) | −14.2097 | + | 13.7639i | −0.474184 | + | 0.459309i | ||||
\(899\) | 6.64004 | + | 18.2434i | 0.221458 | + | 0.608450i | ||||
\(900\) | −3.42620 | − | 4.35798i | −0.114207 | − | 0.145266i | ||||
\(901\) | −4.51606 | + | 2.60735i | −0.150452 | + | 0.0868634i | ||||
\(902\) | 4.93467 | + | 0.511076i | 0.164307 | + | 0.0170170i | ||||
\(903\) | −14.5105 | − | 12.1758i | −0.482880 | − | 0.405184i | ||||
\(904\) | −21.6222 | − | 23.7949i | −0.719145 | − | 0.791407i | ||||
\(905\) | −28.0167 | + | 48.5263i | −0.931306 | + | 1.61307i | ||||
\(906\) | −7.01973 | + | 9.69276i | −0.233215 | + | 0.322020i | ||||
\(907\) | 2.60569 | − | 0.459453i | 0.0865204 | − | 0.0152559i | −0.130220 | − | 0.991485i | \(-0.541568\pi\) |
0.216741 | + | 0.976229i | \(0.430457\pi\) | |||||||
\(908\) | 18.5760 | − | 29.9299i | 0.616467 | − | 0.993257i | ||||
\(909\) | −5.48689 | + | 15.0751i | −0.181989 | + | 0.500010i | ||||
\(910\) | 24.6077 | + | 7.01570i | 0.815737 | + | 0.232568i | ||||
\(911\) | −47.4044 | −1.57058 | −0.785289 | − | 0.619129i | \(-0.787486\pi\) | ||||
−0.785289 | + | 0.619129i | \(0.787486\pi\) | |||||||
\(912\) | 5.28850 | + | 16.6142i | 0.175120 | + | 0.550151i | ||||
\(913\) | 14.7913 | 0.489521 | ||||||||
\(914\) | −42.2955 | − | 12.0585i | −1.39901 | − | 0.398861i | ||||
\(915\) | 2.17494 | − | 5.97560i | 0.0719014 | − | 0.197547i | ||||
\(916\) | −26.7183 | + | 43.0488i | −0.882798 | + | 1.42237i | ||||
\(917\) | −25.2887 | + | 4.45908i | −0.835107 | + | 0.147252i | ||||
\(918\) | 0.796436 | − | 1.09971i | 0.0262863 | − | 0.0362958i | ||||
\(919\) | 20.6457 | − | 35.7593i | 0.681037 | − | 1.17959i | −0.293627 | − | 0.955920i | \(-0.594863\pi\) |
0.974665 | − | 0.223671i | \(-0.0718042\pi\) | |||||||
\(920\) | −13.5358 | + | 12.2999i | −0.446262 | + | 0.405514i | ||||
\(921\) | 3.38762 | + | 2.84255i | 0.111626 | + | 0.0936651i | ||||
\(922\) | −34.7804 | − | 3.60216i | −1.14543 | − | 0.118631i | ||||
\(923\) | −11.7799 | + | 6.80112i | −0.387740 | + | 0.223862i | ||||
\(924\) | 2.67133 | + | 3.39781i | 0.0878802 | + | 0.111780i | ||||
\(925\) | −3.72040 | − | 10.2217i | −0.122326 | − | 0.336088i | ||||
\(926\) | 25.9262 | − | 25.1129i | 0.851988 | − | 0.825261i | ||||
\(927\) | −1.13614 | + | 6.44335i | −0.0373156 | + | 0.211627i | ||||
\(928\) | 16.7458 | + | 9.49932i | 0.549708 | + | 0.311830i | ||||
\(929\) | 31.3665 | − | 26.3196i | 1.02910 | − | 0.863517i | 0.0383565 | − | 0.999264i | \(-0.487788\pi\) |
0.990744 | + | 0.135747i | \(0.0433433\pi\) | |||||||
\(930\) | −12.6044 | − | 18.6256i | −0.413313 | − | 0.610758i | ||||
\(931\) | 8.56086 | − | 7.52320i | 0.280571 | − | 0.246563i | ||||
\(932\) | −10.3263 | + | 25.7839i | −0.338250 | + | 0.844578i | ||||
\(933\) | 7.54458 | + | 8.99128i | 0.246998 | + | 0.294361i | ||||
\(934\) | −16.3603 | + | 4.10548i | −0.535324 | + | 0.134335i | ||||
\(935\) | −0.479649 | + | 2.72023i | −0.0156862 | + | 0.0889609i | ||||
\(936\) | −8.11272 | + | 3.32085i | −0.265173 | + | 0.108545i | ||||
\(937\) | −10.0588 | + | 3.66109i | −0.328605 | + | 0.119603i | −0.501054 | − | 0.865416i | \(-0.667054\pi\) |
0.172449 | + | 0.985018i | \(0.444832\pi\) | |||||||
\(938\) | 1.75450 | + | 24.5544i | 0.0572866 | + | 0.801731i | ||||
\(939\) | −18.9273 | + | 10.9277i | −0.617669 | + | 0.356611i | ||||
\(940\) | −25.3988 | − | 47.4201i | −0.828419 | − | 1.54667i | ||||
\(941\) | −18.5931 | + | 22.1584i | −0.606119 | + | 0.722345i | −0.978618 | − | 0.205688i | \(-0.934057\pi\) |
0.372499 | + | 0.928033i | \(0.378501\pi\) | |||||||
\(942\) | −11.9137 | + | 24.5212i | −0.388170 | + | 0.798945i | ||||
\(943\) | 3.94238 | − | 6.82841i | 0.128382 | − | 0.222364i | ||||
\(944\) | −4.90192 | + | 11.1924i | −0.159544 | + | 0.364283i | ||||
\(945\) | 1.01376 | + | 5.74931i | 0.0329776 | + | 0.187025i | ||||
\(946\) | −12.0515 | + | 5.38764i | −0.391829 | + | 0.175167i | ||||
\(947\) | 5.93940 | − | 16.3184i | 0.193005 | − | 0.530276i | −0.805010 | − | 0.593261i | \(-0.797840\pi\) |
0.998014 | + | 0.0629857i | \(0.0200622\pi\) | |||||||
\(948\) | 11.3441 | − | 3.72408i | 0.368441 | − | 0.120953i | ||||
\(949\) | − | 29.2380i | − | 0.949105i | ||||||
\(950\) | −4.53616 | − | 16.4732i | −0.147173 | − | 0.534461i | ||||
\(951\) | −5.83419 | −0.189187 | ||||||||
\(952\) | −3.48075 | + | 4.49726i | −0.112812 | + | 0.145757i | ||||
\(953\) | −36.2901 | − | 13.2085i | −1.17555 | − | 0.427865i | −0.320922 | − | 0.947106i | \(-0.603993\pi\) |
−0.854628 | + | 0.519240i | \(0.826215\pi\) | |||||||
\(954\) | 3.13480 | + | 7.01218i | 0.101493 | + | 0.227028i | ||||
\(955\) | −55.9038 | + | 9.85735i | −1.80900 | + | 0.318976i | ||||
\(956\) | −1.42963 | + | 44.8457i | −0.0462375 | + | 1.45041i | ||||
\(957\) | −3.04165 | − | 1.75610i | −0.0983227 | − | 0.0567666i | ||||
\(958\) | 7.04983 | − | 14.5102i | 0.227770 | − | 0.468803i | ||||
\(959\) | −17.9608 | − | 15.0709i | −0.579983 | − | 0.486663i | ||||
\(960\) | −21.4935 | − | 5.95168i | −0.693700 | − | 0.192090i | ||||
\(961\) | −0.769885 | − | 1.33348i | −0.0248350 | − | 0.0430155i | ||||
\(962\) | −17.1574 | + | 1.22596i | −0.553176 | + | 0.0395264i | ||||
\(963\) | −4.24408 | − | 11.6605i | −0.136763 | − | 0.375754i | ||||
\(964\) | 44.5238 | + | 9.32252i | 1.43402 | + | 0.300258i | ||||
\(965\) | 47.1637 | + | 8.31623i | 1.51825 | + | 0.267709i | ||||
\(966\) | 6.66276 | − | 1.67197i | 0.214371 | − | 0.0537947i | ||||
\(967\) | −4.53497 | + | 3.80529i | −0.145835 | + | 0.122370i | −0.712786 | − | 0.701381i | \(-0.752567\pi\) |
0.566952 | + | 0.823751i | \(0.308123\pi\) | |||||||
\(968\) | −27.4596 | + | 5.96765i | −0.882584 | + | 0.191807i | ||||
\(969\) | 3.57565 | − | 2.17477i | 0.114866 | − | 0.0698637i | ||||
\(970\) | 53.4876 | − | 36.1962i | 1.71738 | − | 1.16219i | ||||
\(971\) | 12.2450 | + | 14.5931i | 0.392962 | + | 0.468314i | 0.925861 | − | 0.377865i | \(-0.123342\pi\) |
−0.532898 | + | 0.846179i | \(0.678897\pi\) | |||||||
\(972\) | −1.49035 | − | 1.33374i | −0.0478030 | − | 0.0427797i | ||||
\(973\) | −29.5540 | − | 5.21117i | −0.947459 | − | 0.167062i | ||||
\(974\) | 23.0935 | − | 22.3691i | 0.739964 | − | 0.716751i | ||||
\(975\) | 8.07242 | − | 2.93812i | 0.258524 | − | 0.0940952i | ||||
\(976\) | −2.56823 | − | 8.75532i | −0.0822071 | − | 0.280251i | ||||
\(977\) | −29.4877 | − | 51.0742i | −0.943394 | − | 1.63401i | −0.758935 | − | 0.651167i | \(-0.774280\pi\) |
−0.184460 | − | 0.982840i | \(-0.559054\pi\) | |||||||
\(978\) | 1.50772 | − | 14.5577i | 0.0482114 | − | 0.465503i | ||||
\(979\) | −0.666654 | + | 0.794487i | −0.0213063 | + | 0.0253919i | ||||
\(980\) | 2.07271 | + | 14.4298i | 0.0662103 | + | 0.460944i | ||||
\(981\) | −1.15626 | − | 0.667566i | −0.0369165 | − | 0.0213138i | ||||
\(982\) | 11.1787 | − | 15.4354i | 0.356727 | − | 0.492564i | ||||
\(983\) | 0.394039 | + | 2.23471i | 0.0125679 | + | 0.0712761i | 0.990447 | − | 0.137896i | \(-0.0440341\pi\) |
−0.977879 | + | 0.209172i | \(0.932923\pi\) | |||||||
\(984\) | 9.60727 | − | 0.379342i | 0.306268 | − | 0.0120930i | ||||
\(985\) | 23.4381 | + | 8.53078i | 0.746801 | + | 0.271813i | ||||
\(986\) | 1.26702 | − | 4.44410i | 0.0403502 | − | 0.141529i | ||||
\(987\) | 20.2044i | 0.643114i | ||||||||
\(988\) | −27.0178 | − | 0.243889i | −0.859551 | − | 0.00775915i | ||||
\(989\) | 20.9807i | 0.667148i | ||||||||
\(990\) | 3.91266 | + | 1.11551i | 0.124353 | + | 0.0354531i | ||||
\(991\) | 32.4454 | + | 11.8092i | 1.03066 | + | 0.375130i | 0.801333 | − | 0.598219i | \(-0.204125\pi\) |
0.229329 | + | 0.973349i | \(0.426347\pi\) | |||||||
\(992\) | −30.4057 | − | 10.8059i | −0.965381 | − | 0.343088i | ||||
\(993\) | −2.61488 | − | 14.8297i | −0.0829806 | − | 0.470607i | ||||
\(994\) | 10.5270 | + | 7.62391i | 0.333897 | + | 0.241816i | ||||
\(995\) | 55.3144 | + | 31.9358i | 1.75358 | + | 1.01243i | ||||
\(996\) | 28.3749 | − | 4.07580i | 0.899094 | − | 0.129147i | ||||
\(997\) | −4.29391 | + | 5.11729i | −0.135990 | + | 0.162066i | −0.829741 | − | 0.558148i | \(-0.811512\pi\) |
0.693752 | + | 0.720214i | \(0.255957\pi\) | |||||||
\(998\) | −8.66833 | − | 0.897766i | −0.274391 | − | 0.0284183i | ||||
\(999\) | −1.96223 | − | 3.39869i | −0.0620823 | − | 0.107530i |
(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 | 456.2.bk.a.253.37 | yes | 240 | |
8.5 | even | 2 | inner | 456.2.bk.a.253.19 | ✓ | 240 | |
19.16 | even | 9 | inner | 456.2.bk.a.301.19 | yes | 240 | |
152.149 | even | 18 | inner | 456.2.bk.a.301.37 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
456.2.bk.a.253.19 | ✓ | 240 | 8.5 | even | 2 | inner | |
456.2.bk.a.253.37 | yes | 240 | 1.1 | even | 1 | trivial | |
456.2.bk.a.301.19 | yes | 240 | 19.16 | even | 9 | inner | |
456.2.bk.a.301.37 | yes | 240 | 152.149 | even | 18 | inner |