Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(59,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bp (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(608\) |
Relative dimension: | \(76\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 59.6 | ||
Character | \(\chi\) | \(=\) | 525.59 |
Dual form | 525.2.bp.a.89.6 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.253722 | + | 2.41400i | −0.179408 | + | 1.70696i | 0.420833 | + | 0.907138i | \(0.361738\pi\) |
−0.600242 | + | 0.799819i | \(0.704929\pi\) | |||||||
\(3\) | 0.845155 | − | 1.51186i | 0.487950 | − | 0.872871i | ||||
\(4\) | −3.80673 | − | 0.809146i | −1.90337 | − | 0.404573i | ||||
\(5\) | −1.62101 | + | 1.54023i | −0.724938 | + | 0.688814i | ||||
\(6\) | 3.43519 | + | 2.42380i | 1.40241 | + | 0.989510i | ||||
\(7\) | −1.20580 | − | 2.35501i | −0.455748 | − | 0.890109i | ||||
\(8\) | 1.41898 | − | 4.36716i | 0.501684 | − | 1.54402i | ||||
\(9\) | −1.57143 | − | 2.55551i | −0.523809 | − | 0.851836i | ||||
\(10\) | −3.30684 | − | 4.30391i | −1.04572 | − | 1.36102i | ||||
\(11\) | −0.150224 | − | 0.337409i | −0.0452943 | − | 0.101733i | 0.889481 | − | 0.456972i | \(-0.151066\pi\) |
−0.934775 | + | 0.355239i | \(0.884399\pi\) | |||||||
\(12\) | −4.44059 | + | 5.07138i | −1.28189 | + | 1.46398i | ||||
\(13\) | 2.62053 | − | 1.90393i | 0.726805 | − | 0.528054i | −0.161746 | − | 0.986832i | \(-0.551713\pi\) |
0.888551 | + | 0.458778i | \(0.151713\pi\) | |||||||
\(14\) | 5.99092 | − | 2.31328i | 1.60114 | − | 0.618250i | ||||
\(15\) | 0.958610 | + | 3.75247i | 0.247512 | + | 0.968885i | ||||
\(16\) | 3.07167 | + | 1.36760i | 0.767919 | + | 0.341899i | ||||
\(17\) | 1.34010 | − | 1.20663i | 0.325022 | − | 0.292651i | −0.490424 | − | 0.871484i | \(-0.663158\pi\) |
0.815446 | + | 0.578833i | \(0.196492\pi\) | |||||||
\(18\) | 6.56770 | − | 3.14504i | 1.54802 | − | 0.741293i | ||||
\(19\) | −1.39554 | − | 6.56548i | −0.320158 | − | 1.50622i | −0.784254 | − | 0.620440i | \(-0.786954\pi\) |
0.464096 | − | 0.885785i | \(-0.346379\pi\) | |||||||
\(20\) | 7.41703 | − | 4.55162i | 1.65850 | − | 1.01777i | ||||
\(21\) | −4.57952 | − | 0.167351i | −0.999333 | − | 0.0365190i | ||||
\(22\) | 0.852622 | − | 0.277034i | 0.181780 | − | 0.0590638i | ||||
\(23\) | −0.185527 | + | 1.76517i | −0.0386850 | + | 0.368063i | 0.958004 | + | 0.286755i | \(0.0925764\pi\) |
−0.996689 | + | 0.0813081i | \(0.974090\pi\) | |||||||
\(24\) | −5.40327 | − | 5.83621i | −1.10294 | − | 1.19131i | ||||
\(25\) | 0.255356 | − | 4.99348i | 0.0510711 | − | 0.998695i | ||||
\(26\) | 3.93120 | + | 6.80903i | 0.770971 | + | 1.33536i | ||||
\(27\) | −5.19166 | + | 0.215976i | −0.999136 | + | 0.0415645i | ||||
\(28\) | 2.68460 | + | 9.94054i | 0.507342 | + | 1.87859i | ||||
\(29\) | −1.32041 | + | 0.429026i | −0.245193 | + | 0.0796681i | −0.429035 | − | 0.903288i | \(-0.641146\pi\) |
0.183842 | + | 0.982956i | \(0.441146\pi\) | |||||||
\(30\) | −9.30170 | + | 1.36200i | −1.69825 | + | 0.248666i | ||||
\(31\) | 0.864670 | − | 0.778552i | 0.155299 | − | 0.139832i | −0.587818 | − | 0.808993i | \(-0.700013\pi\) |
0.743118 | + | 0.669161i | \(0.233346\pi\) | |||||||
\(32\) | 0.511171 | − | 0.885374i | 0.0903631 | − | 0.156513i | ||||
\(33\) | −0.637078 | − | 0.0580453i | −0.110901 | − | 0.0101044i | ||||
\(34\) | 2.57280 | + | 3.54115i | 0.441231 | + | 0.607302i | ||||
\(35\) | 5.58187 | + | 1.96028i | 0.943509 | + | 0.331348i | ||||
\(36\) | 3.91422 | + | 10.9996i | 0.652371 | + | 1.83327i | ||||
\(37\) | −1.89216 | + | 4.24986i | −0.311069 | + | 0.698672i | −0.999649 | − | 0.0264878i | \(-0.991568\pi\) |
0.688580 | + | 0.725160i | \(0.258234\pi\) | |||||||
\(38\) | 16.2032 | − | 1.70302i | 2.62850 | − | 0.276266i | ||||
\(39\) | −0.663713 | − | 5.57098i | −0.106279 | − | 0.892071i | ||||
\(40\) | 4.42627 | + | 9.26477i | 0.699855 | + | 1.46489i | ||||
\(41\) | 7.93243 | − | 5.76325i | 1.23884 | − | 0.900068i | 0.241317 | − | 0.970446i | \(-0.422421\pi\) |
0.997520 | + | 0.0703781i | \(0.0224206\pi\) | |||||||
\(42\) | 1.56591 | − | 11.0125i | 0.241625 | − | 1.69927i | ||||
\(43\) | − | 5.90617i | − | 0.900682i | −0.892857 | − | 0.450341i | \(-0.851302\pi\) | ||
0.892857 | − | 0.450341i | \(-0.148698\pi\) | |||||||
\(44\) | 0.298850 | + | 1.40598i | 0.0450534 | + | 0.211959i | ||||
\(45\) | 6.48338 | + | 1.72214i | 0.966485 | + | 0.256721i | ||||
\(46\) | −4.21404 | − | 0.895722i | −0.621327 | − | 0.132067i | ||||
\(47\) | −5.89223 | − | 5.30539i | −0.859470 | − | 0.773870i | 0.116174 | − | 0.993229i | \(-0.462937\pi\) |
−0.975644 | + | 0.219358i | \(0.929604\pi\) | |||||||
\(48\) | 4.66365 | − | 3.48810i | 0.673140 | − | 0.503464i | ||||
\(49\) | −4.09211 | + | 5.67932i | −0.584587 | + | 0.811331i | ||||
\(50\) | 11.9895 | + | 1.88338i | 1.69557 | + | 0.266350i | ||||
\(51\) | −0.691663 | − | 3.04583i | −0.0968522 | − | 0.426501i | ||||
\(52\) | −11.5162 | + | 5.12735i | −1.59701 | + | 0.711035i | ||||
\(53\) | −11.4560 | − | 2.43505i | −1.57360 | − | 0.334480i | −0.663278 | − | 0.748373i | \(-0.730835\pi\) |
−0.910325 | + | 0.413893i | \(0.864169\pi\) | |||||||
\(54\) | 0.795872 | − | 12.5875i | 0.108304 | − | 1.71294i | ||||
\(55\) | 0.763205 | + | 0.315564i | 0.102911 | + | 0.0425506i | ||||
\(56\) | −11.9957 | + | 1.92421i | −1.60299 | + | 0.257133i | ||||
\(57\) | −11.1055 | − | 3.43899i | −1.47096 | − | 0.455506i | ||||
\(58\) | −0.700653 | − | 3.29631i | −0.0920002 | − | 0.432827i | ||||
\(59\) | 1.02843 | + | 9.78481i | 0.133890 | + | 1.27387i | 0.830741 | + | 0.556659i | \(0.187917\pi\) |
−0.696852 | + | 0.717215i | \(0.745416\pi\) | |||||||
\(60\) | −0.612872 | − | 15.0603i | −0.0791214 | − | 1.94428i | ||||
\(61\) | 11.1683 | + | 1.17384i | 1.42995 | + | 0.150294i | 0.787634 | − | 0.616143i | \(-0.211306\pi\) |
0.642319 | + | 0.766437i | \(0.277972\pi\) | |||||||
\(62\) | 1.66004 | + | 2.28485i | 0.210825 | + | 0.290176i | ||||
\(63\) | −4.12341 | + | 6.78214i | −0.519501 | + | 0.854470i | ||||
\(64\) | 7.44802 | + | 5.41130i | 0.931003 | + | 0.676413i | ||||
\(65\) | −1.31542 | + | 7.12252i | −0.163157 | + | 0.883440i | ||||
\(66\) | 0.301762 | − | 1.52318i | 0.0371443 | − | 0.187490i | ||||
\(67\) | 4.24006 | − | 3.81777i | 0.518006 | − | 0.466415i | −0.368173 | − | 0.929757i | \(-0.620017\pi\) |
0.886179 | + | 0.463343i | \(0.153350\pi\) | |||||||
\(68\) | −6.07774 | + | 3.50898i | −0.737034 | + | 0.425527i | ||||
\(69\) | 2.51188 | + | 1.77233i | 0.302395 | + | 0.213363i | ||||
\(70\) | −6.14836 | + | 12.9773i | −0.734870 | + | 1.55108i | ||||
\(71\) | −5.24800 | + | 1.70518i | −0.622823 | + | 0.202368i | −0.603393 | − | 0.797444i | \(-0.706185\pi\) |
−0.0194298 | + | 0.999811i | \(0.506185\pi\) | |||||||
\(72\) | −13.3901 | + | 3.23647i | −1.57804 | + | 0.381422i | ||||
\(73\) | −11.3353 | + | 5.04679i | −1.32669 | + | 0.590682i | −0.943004 | − | 0.332780i | \(-0.892013\pi\) |
−0.383689 | + | 0.923462i | \(0.625347\pi\) | |||||||
\(74\) | −9.77908 | − | 5.64595i | −1.13680 | − | 0.656329i | ||||
\(75\) | −7.33361 | − | 4.60632i | −0.846812 | − | 0.531892i | ||||
\(76\) | 26.1222i | 2.99642i | ||||||||
\(77\) | −0.613461 | + | 0.760626i | −0.0699104 | + | 0.0866814i | ||||
\(78\) | 13.6168 | − | 0.188724i | 1.54179 | − | 0.0213688i | ||||
\(79\) | 2.53642 | − | 2.81698i | 0.285370 | − | 0.316935i | −0.583368 | − | 0.812208i | \(-0.698265\pi\) |
0.868737 | + | 0.495273i | \(0.164932\pi\) | |||||||
\(80\) | −7.08564 | + | 2.51421i | −0.792199 | + | 0.281097i | ||||
\(81\) | −4.06123 | + | 8.03159i | −0.451248 | + | 0.892399i | ||||
\(82\) | 11.8999 | + | 20.6112i | 1.31412 | + | 2.27612i | ||||
\(83\) | −11.5153 | − | 3.74155i | −1.26397 | − | 0.410688i | −0.401061 | − | 0.916051i | \(-0.631359\pi\) |
−0.862907 | + | 0.505363i | \(0.831359\pi\) | |||||||
\(84\) | 17.2976 | + | 4.34256i | 1.88732 | + | 0.473812i | ||||
\(85\) | −0.313822 | + | 4.02003i | −0.0340388 | + | 0.436033i | ||||
\(86\) | 14.2575 | + | 1.49852i | 1.53742 | + | 0.161590i | ||||
\(87\) | −0.467321 | + | 2.35886i | −0.0501021 | + | 0.252896i | ||||
\(88\) | −1.68669 | + | 0.177278i | −0.179801 | + | 0.0188979i | ||||
\(89\) | 0.133848 | − | 1.27348i | 0.0141878 | − | 0.134988i | −0.985135 | − | 0.171782i | \(-0.945048\pi\) |
0.999323 | + | 0.0367933i | \(0.0117143\pi\) | |||||||
\(90\) | −5.80222 | + | 15.2139i | −0.611608 | + | 1.60369i | ||||
\(91\) | −7.64359 | − | 3.87562i | −0.801266 | − | 0.406275i | ||||
\(92\) | 2.13453 | − | 6.56940i | 0.222540 | − | 0.684907i | ||||
\(93\) | −0.446280 | − | 1.96525i | −0.0462771 | − | 0.203787i | ||||
\(94\) | 14.3022 | − | 12.8778i | 1.47516 | − | 1.32824i | ||||
\(95\) | 12.3746 | + | 8.49326i | 1.26960 | + | 0.871391i | ||||
\(96\) | −0.906541 | − | 1.52110i | −0.0925235 | − | 0.155246i | ||||
\(97\) | 4.67005 | + | 14.3729i | 0.474172 | + | 1.45935i | 0.847071 | + | 0.531479i | \(0.178364\pi\) |
−0.372899 | + | 0.927872i | \(0.621636\pi\) | |||||||
\(98\) | −12.6716 | − | 11.3193i | −1.28003 | − | 1.14342i | ||||
\(99\) | −0.626185 | + | 0.914114i | −0.0629340 | + | 0.0918719i | ||||
\(100\) | −5.01252 | + | 18.8022i | −0.501252 | + | 1.88022i | ||||
\(101\) | −6.49889 | + | 11.2564i | −0.646664 | + | 1.12006i | 0.337250 | + | 0.941415i | \(0.390503\pi\) |
−0.983914 | + | 0.178640i | \(0.942830\pi\) | |||||||
\(102\) | 7.52812 | − | 0.896882i | 0.745395 | − | 0.0888045i | ||||
\(103\) | −3.73487 | + | 4.14800i | −0.368008 | + | 0.408714i | −0.898498 | − | 0.438977i | \(-0.855341\pi\) |
0.530491 | + | 0.847691i | \(0.322008\pi\) | |||||||
\(104\) | −4.59628 | − | 14.1459i | −0.450703 | − | 1.38712i | ||||
\(105\) | 7.68121 | − | 6.78225i | 0.749610 | − | 0.661880i | ||||
\(106\) | 8.78485 | − | 27.0370i | 0.853260 | − | 2.62606i | ||||
\(107\) | −10.2001 | − | 17.6670i | −0.986077 | − | 1.70794i | −0.637050 | − | 0.770822i | \(-0.719846\pi\) |
−0.349027 | − | 0.937113i | \(-0.613488\pi\) | |||||||
\(108\) | 19.9380 | + | 3.37865i | 1.91854 | + | 0.325111i | ||||
\(109\) | 0.0619712 | + | 0.589617i | 0.00593576 | + | 0.0564750i | 0.997089 | − | 0.0762488i | \(-0.0242943\pi\) |
−0.991153 | + | 0.132724i | \(0.957628\pi\) | |||||||
\(110\) | −0.955413 | + | 1.76231i | −0.0910950 | + | 0.168030i | ||||
\(111\) | 4.82601 | + | 6.45246i | 0.458065 | + | 0.612441i | ||||
\(112\) | −0.483115 | − | 8.88286i | −0.0456501 | − | 0.839351i | ||||
\(113\) | 3.65314 | − | 2.65416i | 0.343658 | − | 0.249682i | −0.402545 | − | 0.915400i | \(-0.631874\pi\) |
0.746204 | + | 0.665718i | \(0.231874\pi\) | |||||||
\(114\) | 11.1194 | − | 25.9362i | 1.04143 | − | 2.42915i | ||||
\(115\) | −2.41803 | − | 3.14711i | −0.225482 | − | 0.293470i | ||||
\(116\) | 5.37357 | − | 0.564785i | 0.498924 | − | 0.0524390i | ||||
\(117\) | −8.98347 | − | 3.70490i | −0.830523 | − | 0.342518i | ||||
\(118\) | −23.8815 | −2.19847 | ||||||||
\(119\) | −4.45751 | − | 1.70099i | −0.408619 | − | 0.155930i | ||||
\(120\) | 17.7479 | + | 1.13827i | 1.62015 | + | 0.103909i | ||||
\(121\) | 7.26916 | − | 8.07322i | 0.660833 | − | 0.733929i | ||||
\(122\) | −5.66728 | + | 26.6625i | −0.513091 | + | 2.41390i | ||||
\(123\) | −2.00908 | − | 16.8635i | −0.181153 | − | 1.52053i | ||||
\(124\) | −3.92153 | + | 2.26409i | −0.352164 | + | 0.203322i | ||||
\(125\) | 7.27719 | + | 8.48779i | 0.650891 | + | 0.759171i | ||||
\(126\) | −15.3259 | − | 11.6747i | −1.36534 | − | 1.04006i | ||||
\(127\) | 6.73624 | − | 9.27164i | 0.597745 | − | 0.822725i | −0.397755 | − | 0.917492i | \(-0.630211\pi\) |
0.995499 | + | 0.0947669i | \(0.0302106\pi\) | |||||||
\(128\) | −13.5845 | + | 15.0871i | −1.20071 | + | 1.33352i | ||||
\(129\) | −8.92928 | − | 4.99162i | −0.786179 | − | 0.439488i | ||||
\(130\) | −16.8600 | − | 4.98256i | −1.47872 | − | 0.436999i | ||||
\(131\) | 11.3058 | − | 2.40313i | 0.987796 | − | 0.209962i | 0.314437 | − | 0.949278i | \(-0.398184\pi\) |
0.673359 | + | 0.739316i | \(0.264851\pi\) | |||||||
\(132\) | 2.37822 | + | 0.736451i | 0.206997 | + | 0.0640999i | ||||
\(133\) | −13.7790 | + | 11.2031i | −1.19479 | + | 0.971435i | ||||
\(134\) | 8.14030 | + | 11.2042i | 0.703215 | + | 0.967892i | ||||
\(135\) | 8.08309 | − | 8.34648i | 0.695682 | − | 0.718350i | ||||
\(136\) | −3.36798 | − | 7.56461i | −0.288802 | − | 0.648660i | ||||
\(137\) | −0.884494 | − | 8.41540i | −0.0755674 | − | 0.718976i | −0.965060 | − | 0.262027i | \(-0.915609\pi\) |
0.889493 | − | 0.456949i | \(-0.151058\pi\) | |||||||
\(138\) | −4.91572 | + | 5.61401i | −0.418454 | + | 0.477896i | ||||
\(139\) | 12.1694 | − | 16.7497i | 1.03219 | − | 1.42069i | 0.128901 | − | 0.991657i | \(-0.458855\pi\) |
0.903290 | − | 0.429031i | \(-0.141145\pi\) | |||||||
\(140\) | −19.6625 | − | 11.9788i | −1.66179 | − | 1.01239i | ||||
\(141\) | −13.0008 | + | 4.42434i | −1.09487 | + | 0.372597i | ||||
\(142\) | −2.78477 | − | 13.1013i | −0.233693 | − | 1.09944i | ||||
\(143\) | −1.03607 | − | 0.598176i | −0.0866406 | − | 0.0500220i | ||||
\(144\) | −1.33201 | − | 9.99877i | −0.111001 | − | 0.833230i | ||||
\(145\) | 1.47959 | − | 2.72919i | 0.122873 | − | 0.226647i | ||||
\(146\) | −9.30695 | − | 28.6438i | −0.770248 | − | 2.37058i | ||||
\(147\) | 5.12786 | + | 10.9866i | 0.422939 | + | 0.906158i | ||||
\(148\) | 10.6417 | − | 14.6470i | 0.874742 | − | 1.20398i | ||||
\(149\) | 11.0296 | − | 6.36797i | 0.903583 | − | 0.521684i | 0.0252223 | − | 0.999682i | \(-0.491971\pi\) |
0.878361 | + | 0.477998i | \(0.158637\pi\) | |||||||
\(150\) | 12.9804 | − | 16.5346i | 1.05984 | − | 1.35005i | ||||
\(151\) | 1.71189 | − | 2.96508i | 0.139311 | − | 0.241294i | −0.787925 | − | 0.615772i | \(-0.788844\pi\) |
0.927236 | + | 0.374477i | \(0.122178\pi\) | |||||||
\(152\) | −30.6527 | − | 3.22173i | −2.48626 | − | 0.261317i | ||||
\(153\) | −5.18942 | − | 1.52850i | −0.419540 | − | 0.123572i | ||||
\(154\) | −1.68050 | − | 1.67388i | −0.135419 | − | 0.134885i | ||||
\(155\) | −0.202487 | + | 2.59384i | −0.0162641 | + | 0.208342i | ||||
\(156\) | −1.98116 | + | 21.7443i | −0.158620 | + | 1.74094i | ||||
\(157\) | −4.04663 | + | 7.00896i | −0.322956 | + | 0.559376i | −0.981097 | − | 0.193519i | \(-0.938010\pi\) |
0.658141 | + | 0.752895i | \(0.271343\pi\) | |||||||
\(158\) | 6.15665 | + | 6.83766i | 0.489797 | + | 0.543975i | ||||
\(159\) | −13.3635 | + | 15.2619i | −1.05980 | + | 1.21034i | ||||
\(160\) | 0.535070 | + | 2.22252i | 0.0423010 | + | 0.175706i | ||||
\(161\) | 4.38069 | − | 1.69152i | 0.345246 | − | 0.133310i | ||||
\(162\) | −18.3578 | − | 11.8416i | −1.44233 | − | 0.930365i | ||||
\(163\) | −0.0971548 | + | 0.218213i | −0.00760975 | + | 0.0170918i | −0.917310 | − | 0.398173i | \(-0.869644\pi\) |
0.909701 | + | 0.415265i | \(0.136311\pi\) | |||||||
\(164\) | −34.8599 | + | 15.5206i | −2.72210 | + | 1.21196i | ||||
\(165\) | 1.12211 | − | 0.887157i | 0.0873564 | − | 0.0690651i | ||||
\(166\) | 11.9538 | − | 26.8486i | 0.927793 | − | 2.08386i | ||||
\(167\) | 14.5367 | + | 4.72325i | 1.12488 | + | 0.365496i | 0.811628 | − | 0.584174i | \(-0.198582\pi\) |
0.313252 | + | 0.949670i | \(0.398582\pi\) | |||||||
\(168\) | −7.22908 | + | 19.7620i | −0.557735 | + | 1.52467i | ||||
\(169\) | −0.774976 | + | 2.38513i | −0.0596135 | + | 0.183472i | ||||
\(170\) | −9.62473 | − | 1.77754i | −0.738183 | − | 0.136331i | ||||
\(171\) | −14.5851 | + | 13.8835i | −1.11535 | + | 1.06170i | ||||
\(172\) | −4.77895 | + | 22.4832i | −0.364391 | + | 1.71433i | ||||
\(173\) | 8.77143 | + | 0.921914i | 0.666879 | + | 0.0700919i | 0.431918 | − | 0.901913i | \(-0.357837\pi\) |
0.234961 | + | 0.972005i | \(0.424504\pi\) | |||||||
\(174\) | −5.57572 | − | 1.72661i | −0.422694 | − | 0.130894i | ||||
\(175\) | −12.0676 | + | 5.41975i | −0.912223 | + | 0.409695i | ||||
\(176\) | − | 1.24186i | − | 0.0936086i | ||||||
\(177\) | 15.6624 | + | 6.71485i | 1.17726 | + | 0.504719i | ||||
\(178\) | 3.04022 | + | 0.646218i | 0.227874 | + | 0.0484361i | ||||
\(179\) | −1.23814 | + | 5.82497i | −0.0925426 | + | 0.435379i | 0.907345 | + | 0.420387i | \(0.138106\pi\) |
−0.999888 | + | 0.0149920i | \(0.995228\pi\) | |||||||
\(180\) | −23.2870 | − | 11.8017i | −1.73571 | − | 0.879648i | ||||
\(181\) | 7.88776 | + | 2.56289i | 0.586293 | + | 0.190498i | 0.587118 | − | 0.809502i | \(-0.300263\pi\) |
−0.000825029 | 1.00000i | \(0.500263\pi\) | ||||||||
\(182\) | 11.2951 | − | 17.4683i | 0.837248 | − | 1.29484i | ||||
\(183\) | 11.2136 | − | 15.8928i | 0.828934 | − | 1.17483i | ||||
\(184\) | 7.44551 | + | 3.31495i | 0.548890 | + | 0.244382i | ||||
\(185\) | −3.47857 | − | 9.80344i | −0.255749 | − | 0.720763i | ||||
\(186\) | 4.85736 | − | 0.578693i | 0.356159 | − | 0.0424319i | ||||
\(187\) | −0.608444 | − | 0.270897i | −0.0444938 | − | 0.0198099i | ||||
\(188\) | 18.1373 | + | 24.9639i | 1.32280 | + | 1.82068i | ||||
\(189\) | 6.76871 | + | 11.9660i | 0.492351 | + | 0.870396i | ||||
\(190\) | −23.6424 | + | 27.7173i | −1.71520 | + | 2.01082i | ||||
\(191\) | 1.82910 | − | 4.10822i | 0.132349 | − | 0.297260i | −0.835199 | − | 0.549948i | \(-0.814648\pi\) |
0.967548 | + | 0.252687i | \(0.0813144\pi\) | |||||||
\(192\) | 14.4759 | − | 6.68696i | 1.04470 | − | 0.482590i | ||||
\(193\) | 19.4505 | + | 11.2298i | 1.40008 | + | 0.808336i | 0.994400 | − | 0.105679i | \(-0.0337016\pi\) |
0.405680 | + | 0.914015i | \(0.367035\pi\) | |||||||
\(194\) | −35.8812 | + | 7.62678i | −2.57612 | + | 0.547571i | ||||
\(195\) | 9.65651 | + | 8.00835i | 0.691517 | + | 0.573490i | ||||
\(196\) | 20.1729 | − | 18.3085i | 1.44092 | − | 1.30775i | ||||
\(197\) | −0.723810 | − | 2.22766i | −0.0515693 | − | 0.158714i | 0.921955 | − | 0.387296i | \(-0.126591\pi\) |
−0.973525 | + | 0.228582i | \(0.926591\pi\) | |||||||
\(198\) | −2.04779 | − | 1.74354i | −0.145530 | − | 0.123908i | ||||
\(199\) | 5.82371 | + | 3.36232i | 0.412832 | + | 0.238349i | 0.692006 | − | 0.721892i | \(-0.256727\pi\) |
−0.279174 | + | 0.960241i | \(0.590061\pi\) | |||||||
\(200\) | −21.4450 | − | 8.20080i | −1.51639 | − | 0.579884i | ||||
\(201\) | −2.18841 | − | 9.63697i | −0.154359 | − | 0.679740i | ||||
\(202\) | −25.5241 | − | 18.5443i | −1.79587 | − | 1.30477i | ||||
\(203\) | 2.60250 | + | 2.59224i | 0.182660 | + | 0.181940i | ||||
\(204\) | 0.168455 | + | 12.1543i | 0.0117942 | + | 0.850972i | ||||
\(205\) | −3.98181 | + | 21.5601i | −0.278101 | + | 1.50582i | ||||
\(206\) | −9.06565 | − | 10.0684i | −0.631634 | − | 0.701500i | ||||
\(207\) | 4.80244 | − | 2.29972i | 0.333793 | − | 0.159841i | ||||
\(208\) | 10.6532 | − | 2.26441i | 0.738668 | − | 0.157009i | ||||
\(209\) | −2.00561 | + | 1.45716i | −0.138731 | + | 0.100794i | ||||
\(210\) | 14.4235 | + | 20.2633i | 0.995315 | + | 1.39830i | ||||
\(211\) | −16.6517 | − | 12.0981i | −1.14635 | − | 0.832870i | −0.158357 | − | 0.987382i | \(-0.550620\pi\) |
−0.987991 | + | 0.154512i | \(0.950620\pi\) | |||||||
\(212\) | 41.6396 | + | 18.5392i | 2.85982 | + | 1.27327i | ||||
\(213\) | −1.85738 | + | 9.37537i | −0.127266 | + | 0.642390i | ||||
\(214\) | 45.2362 | − | 20.1404i | 3.09228 | − | 1.37677i | ||||
\(215\) | 9.09688 | + | 9.57396i | 0.620402 | + | 0.652939i | ||||
\(216\) | −6.42364 | + | 22.9793i | −0.437074 | + | 1.56354i | ||||
\(217\) | −2.87611 | − | 1.09753i | −0.195243 | − | 0.0745050i | ||||
\(218\) | −1.43906 | −0.0974653 | ||||||||
\(219\) | −1.95003 | + | 21.4026i | −0.131771 | + | 1.44626i | ||||
\(220\) | −2.64998 | − | 1.81881i | −0.178662 | − | 0.122624i | ||||
\(221\) | 1.21443 | − | 5.71347i | 0.0816917 | − | 0.384329i | ||||
\(222\) | −16.8007 | + | 10.0129i | −1.12759 | + | 0.672020i | ||||
\(223\) | 4.63818 | + | 3.36983i | 0.310595 | + | 0.225661i | 0.732152 | − | 0.681141i | \(-0.238516\pi\) |
−0.421557 | + | 0.906802i | \(0.638516\pi\) | |||||||
\(224\) | −2.70143 | − | 0.136229i | −0.180497 | − | 0.00910221i | ||||
\(225\) | −13.1621 | + | 7.19432i | −0.877476 | + | 0.479621i | ||||
\(226\) | 5.48027 | + | 9.49210i | 0.364542 | + | 0.631405i | ||||
\(227\) | 3.66664 | + | 8.23540i | 0.243363 | + | 0.546603i | 0.993388 | − | 0.114807i | \(-0.0366250\pi\) |
−0.750025 | + | 0.661410i | \(0.769958\pi\) | |||||||
\(228\) | 39.4931 | + | 22.0773i | 2.61549 | + | 1.46211i | ||||
\(229\) | −16.7011 | − | 15.0377i | −1.10364 | − | 0.993722i | −0.103640 | − | 0.994615i | \(-0.533049\pi\) |
−1.00000 | 0.000893140i | \(0.999716\pi\) | ||||||||
\(230\) | 8.21063 | − | 5.03864i | 0.541393 | − | 0.332238i | ||||
\(231\) | 0.631489 | + | 1.57031i | 0.0415489 | + | 0.103319i | ||||
\(232\) | 6.37520i | 0.418552i | ||||||||
\(233\) | −23.3394 | + | 4.96094i | −1.52901 | + | 0.325002i | −0.894201 | − | 0.447665i | \(-0.852256\pi\) |
−0.634812 | + | 0.772667i | \(0.718922\pi\) | |||||||
\(234\) | 11.2229 | − | 20.7461i | 0.733667 | − | 1.35622i | ||||
\(235\) | 17.7229 | − | 0.475322i | 1.15612 | − | 0.0310066i | ||||
\(236\) | 4.00240 | − | 38.0803i | 0.260534 | − | 2.47882i | ||||
\(237\) | −2.11521 | − | 6.21550i | −0.137397 | − | 0.403740i | ||||
\(238\) | 5.23716 | − | 10.3289i | 0.339475 | − | 0.669520i | ||||
\(239\) | −8.77018 | + | 12.0711i | −0.567296 | + | 0.780816i | −0.992231 | − | 0.124408i | \(-0.960297\pi\) |
0.424935 | + | 0.905224i | \(0.360297\pi\) | |||||||
\(240\) | −2.18734 | + | 12.8374i | −0.141192 | + | 0.828649i | ||||
\(241\) | 2.24185 | − | 0.235628i | 0.144410 | − | 0.0151781i | −0.0320474 | − | 0.999486i | \(-0.510203\pi\) |
0.176458 | + | 0.984308i | \(0.443536\pi\) | |||||||
\(242\) | 17.6444 | + | 19.5961i | 1.13423 | + | 1.25969i | ||||
\(243\) | 8.71025 | + | 12.9279i | 0.558763 | + | 0.829328i | ||||
\(244\) | −41.5649 | − | 13.5053i | −2.66092 | − | 0.864585i | ||||
\(245\) | −2.11413 | − | 15.5090i | −0.135067 | − | 0.990837i | ||||
\(246\) | 41.2184 | − | 0.571275i | 2.62799 | − | 0.0364232i | ||||
\(247\) | −16.1572 | − | 14.5480i | −1.02806 | − | 0.925670i | ||||
\(248\) | −2.17312 | − | 4.88090i | −0.137993 | − | 0.309937i | ||||
\(249\) | −15.3889 | + | 14.2473i | −0.975232 | + | 0.902886i | ||||
\(250\) | −22.3359 | + | 15.4136i | −1.41265 | + | 0.974842i | ||||
\(251\) | 22.7047 | 1.43311 | 0.716555 | − | 0.697531i | \(-0.245718\pi\) | ||||
0.716555 | + | 0.697531i | \(0.245718\pi\) | |||||||
\(252\) | 21.1845 | − | 22.4814i | 1.33450 | − | 1.41619i | ||||
\(253\) | 0.623454 | − | 0.202573i | 0.0391962 | − | 0.0127356i | ||||
\(254\) | 20.6726 | + | 18.6137i | 1.29712 | + | 1.16793i | ||||
\(255\) | 5.81248 | + | 3.87200i | 0.363992 | + | 0.242474i | ||||
\(256\) | −20.6531 | − | 22.9376i | −1.29082 | − | 1.43360i | ||||
\(257\) | 13.1831 | − | 7.61129i | 0.822342 | − | 0.474779i | −0.0288814 | − | 0.999583i | \(-0.509195\pi\) |
0.851223 | + | 0.524803i | \(0.175861\pi\) | |||||||
\(258\) | 14.3153 | − | 20.2888i | 0.891234 | − | 1.26313i | ||||
\(259\) | 12.2900 | − | 0.668420i | 0.763664 | − | 0.0415336i | ||||
\(260\) | 10.7706 | − | 26.0492i | 0.667964 | − | 1.61550i | ||||
\(261\) | 3.17130 | + | 2.70012i | 0.196298 | + | 0.167133i | ||||
\(262\) | 2.93262 | + | 27.9020i | 0.181178 | + | 1.72379i | ||||
\(263\) | −1.08566 | − | 10.3293i | −0.0669444 | − | 0.636933i | −0.975625 | − | 0.219442i | \(-0.929576\pi\) |
0.908681 | − | 0.417491i | \(-0.137090\pi\) | |||||||
\(264\) | −1.15749 | + | 2.69985i | −0.0712386 | + | 0.166165i | ||||
\(265\) | 22.3209 | − | 13.6977i | 1.37116 | − | 0.841443i | ||||
\(266\) | −23.5483 | − | 36.1050i | −1.44384 | − | 2.21374i | ||||
\(267\) | −1.81219 | − | 1.27864i | −0.110904 | − | 0.0782518i | ||||
\(268\) | −19.2299 | + | 11.1024i | −1.17465 | + | 0.678186i | ||||
\(269\) | 7.17836 | + | 7.97237i | 0.437672 | + | 0.486084i | 0.921114 | − | 0.389292i | \(-0.127280\pi\) |
−0.483442 | + | 0.875376i | \(0.660614\pi\) | |||||||
\(270\) | 18.0975 | + | 21.6303i | 1.10138 | + | 1.31638i | ||||
\(271\) | 18.7627 | + | 16.8940i | 1.13975 | + | 1.02624i | 0.999347 | + | 0.0361453i | \(0.0115079\pi\) |
0.140407 | + | 0.990094i | \(0.455159\pi\) | |||||||
\(272\) | 5.76653 | − | 1.87366i | 0.349647 | − | 0.113607i | ||||
\(273\) | −12.3194 | + | 8.28052i | −0.745604 | + | 0.501160i | ||||
\(274\) | 20.5392 | 1.24082 | ||||||||
\(275\) | −1.72321 | + | 0.663982i | −0.103913 | + | 0.0400396i | ||||
\(276\) | −8.12799 | − | 8.77926i | −0.489247 | − | 0.528449i | ||||
\(277\) | 0.851455 | + | 1.91240i | 0.0511590 | + | 0.114905i | 0.937317 | − | 0.348479i | \(-0.113302\pi\) |
−0.886158 | + | 0.463384i | \(0.846635\pi\) | |||||||
\(278\) | 37.3461 | + | 33.6266i | 2.23987 | + | 2.01679i | ||||
\(279\) | −3.34836 | − | 0.986232i | −0.200461 | − | 0.0590441i | ||||
\(280\) | 16.4814 | − | 21.5953i | 0.984952 | − | 1.29057i | ||||
\(281\) | 8.03753 | + | 2.61155i | 0.479479 | + | 0.155792i | 0.538777 | − | 0.842448i | \(-0.318886\pi\) |
−0.0592985 | + | 0.998240i | \(0.518886\pi\) | |||||||
\(282\) | −7.38177 | − | 32.5066i | −0.439578 | − | 1.93574i | ||||
\(283\) | 15.0596 | + | 16.7254i | 0.895199 | + | 0.994219i | 1.00000 | 0.000273932i | \(-8.71953e-5\pi\) | |
−0.104801 | + | 0.994493i | \(0.533421\pi\) | |||||||
\(284\) | 21.3575 | − | 2.24476i | 1.26733 | − | 0.133202i | ||||
\(285\) | 23.2990 | − | 11.5304i | 1.38011 | − | 0.683005i | ||||
\(286\) | 1.70687 | − | 2.34931i | 0.100929 | − | 0.138917i | ||||
\(287\) | −23.1374 | − | 11.7316i | −1.36576 | − | 0.692495i | ||||
\(288\) | −3.06585 | + | 0.0849999i | −0.180657 | + | 0.00500867i | ||||
\(289\) | −1.43708 | + | 13.6729i | −0.0845339 | + | 0.804286i | ||||
\(290\) | 6.21286 | + | 4.26419i | 0.364832 | + | 0.250402i | ||||
\(291\) | 25.6768 | + | 5.08690i | 1.50520 | + | 0.298200i | ||||
\(292\) | 47.2339 | − | 10.0399i | 2.76416 | − | 0.587540i | ||||
\(293\) | 2.46674i | 0.144108i | 0.997401 | + | 0.0720542i | \(0.0229555\pi\) | ||||
−0.997401 | + | 0.0720542i | \(0.977045\pi\) | |||||||
\(294\) | −27.8227 | + | 9.59112i | −1.62265 | + | 0.559365i | ||||
\(295\) | −16.7380 | − | 14.2773i | −0.974524 | − | 0.831255i | ||||
\(296\) | 15.8749 | + | 14.2938i | 0.922709 | + | 0.830811i | ||||
\(297\) | 0.852786 | + | 1.71927i | 0.0494837 | + | 0.0997622i | ||||
\(298\) | 12.5738 | + | 28.2413i | 0.728382 | + | 1.63597i | ||||
\(299\) | 2.87457 | + | 4.97890i | 0.166241 | + | 0.287937i | ||||
\(300\) | 24.1899 | + | 23.4690i | 1.39660 | + | 1.35498i | ||||
\(301\) | −13.9091 | + | 7.12164i | −0.801705 | + | 0.410484i | ||||
\(302\) | 6.72335 | + | 4.88480i | 0.386885 | + | 0.281089i | ||||
\(303\) | 11.5255 | + | 19.3388i | 0.662124 | + | 1.11099i | ||||
\(304\) | 4.69230 | − | 22.0755i | 0.269122 | − | 1.26612i | ||||
\(305\) | −19.9119 | + | 15.2990i | −1.14015 | + | 0.876018i | ||||
\(306\) | 5.00647 | − | 12.1395i | 0.286201 | − | 0.693967i | ||||
\(307\) | −28.2937 | −1.61481 | −0.807403 | − | 0.590000i | \(-0.799128\pi\) | ||||
−0.807403 | + | 0.590000i | \(0.799128\pi\) | |||||||
\(308\) | 2.95074 | − | 2.39912i | 0.168134 | − | 0.136703i | ||||
\(309\) | 3.11463 | + | 9.15229i | 0.177185 | + | 0.520656i | ||||
\(310\) | −6.21015 | − | 1.14692i | −0.352713 | − | 0.0651404i | ||||
\(311\) | 31.2363 | − | 13.9073i | 1.77125 | − | 0.788609i | 0.785830 | − | 0.618443i | \(-0.212236\pi\) |
0.985415 | − | 0.170167i | \(-0.0544306\pi\) | |||||||
\(312\) | −25.2712 | − | 5.00655i | −1.43070 | − | 0.283440i | ||||
\(313\) | −14.2564 | − | 6.34736i | −0.805819 | − | 0.358774i | −0.0378684 | − | 0.999283i | \(-0.512057\pi\) |
−0.767951 | + | 0.640509i | \(0.778723\pi\) | |||||||
\(314\) | −15.8929 | − | 11.5469i | −0.896890 | − | 0.651629i | ||||
\(315\) | −3.76199 | − | 17.3450i | −0.211964 | − | 0.977277i | ||||
\(316\) | −11.9348 | + | 8.67116i | −0.671387 | + | 0.487791i | ||||
\(317\) | 6.60424 | − | 1.40377i | 0.370931 | − | 0.0788438i | −0.0186746 | − | 0.999826i | \(-0.505945\pi\) |
0.389606 | + | 0.920982i | \(0.372611\pi\) | |||||||
\(318\) | −33.4515 | − | 36.1319i | −1.87587 | − | 2.02617i | ||||
\(319\) | 0.343114 | + | 0.381067i | 0.0192107 | + | 0.0213357i | ||||
\(320\) | −20.4080 | + | 2.69991i | −1.14084 | + | 0.150930i | ||||
\(321\) | −35.3306 | + | 0.489673i | −1.97196 | + | 0.0273309i | ||||
\(322\) | 2.97185 | + | 11.0042i | 0.165615 | + | 0.613238i | ||||
\(323\) | −9.79227 | − | 7.11450i | −0.544856 | − | 0.395861i | ||||
\(324\) | 21.9587 | − | 27.2880i | 1.21993 | − | 1.51600i | ||||
\(325\) | −8.83805 | − | 13.5717i | −0.490247 | − | 0.752825i | ||||
\(326\) | −0.502117 | − | 0.289897i | −0.0278097 | − | 0.0160559i | ||||
\(327\) | 0.943792 | + | 0.404626i | 0.0521918 | + | 0.0223758i | ||||
\(328\) | −13.9131 | − | 42.8201i | −0.768222 | − | 2.36434i | ||||
\(329\) | −5.38939 | + | 20.2735i | −0.297127 | + | 1.11771i | ||||
\(330\) | 1.85689 | + | 2.93387i | 0.102219 | + | 0.161504i | ||||
\(331\) | 16.5107 | − | 3.50945i | 0.907509 | − | 0.192897i | 0.269567 | − | 0.962982i | \(-0.413119\pi\) |
0.637942 | + | 0.770084i | \(0.279786\pi\) | |||||||
\(332\) | 40.8082 | + | 23.5606i | 2.23964 | + | 1.29306i | ||||
\(333\) | 13.8339 | − | 1.84292i | 0.758095 | − | 0.100991i | ||||
\(334\) | −15.0902 | + | 33.8931i | −0.825698 | + | 1.85455i | ||||
\(335\) | −0.992929 | + | 12.7193i | −0.0542495 | + | 0.694931i | ||||
\(336\) | −13.8379 | − | 6.77699i | −0.754921 | − | 0.369715i | ||||
\(337\) | −17.2714 | − | 23.7720i | −0.940831 | − | 1.29494i | −0.955482 | − | 0.295050i | \(-0.904664\pi\) |
0.0146508 | − | 0.999893i | \(-0.495336\pi\) | |||||||
\(338\) | −5.56108 | − | 2.47595i | −0.302483 | − | 0.134674i | ||||
\(339\) | −0.925246 | − | 7.76620i | −0.0502525 | − | 0.421802i | ||||
\(340\) | 4.44742 | − | 15.0492i | 0.241195 | − | 0.816160i | ||||
\(341\) | −0.392585 | − | 0.174790i | −0.0212597 | − | 0.00946542i | ||||
\(342\) | −29.8142 | − | 38.7311i | −1.61216 | − | 2.09434i | ||||
\(343\) | 18.3091 | + | 2.78883i | 0.988597 | + | 0.150583i | ||||
\(344\) | −25.7932 | − | 8.38071i | −1.39067 | − | 0.451857i | ||||
\(345\) | −6.80159 | + | 0.995923i | −0.366185 | + | 0.0536187i | ||||
\(346\) | −4.45100 | + | 20.9403i | −0.239288 | + | 1.12576i | ||||
\(347\) | −9.60609 | − | 2.04184i | −0.515682 | − | 0.109612i | −0.0572829 | − | 0.998358i | \(-0.518244\pi\) |
−0.458399 | + | 0.888746i | \(0.651577\pi\) | |||||||
\(348\) | 3.68762 | − | 8.60141i | 0.197677 | − | 0.461084i | ||||
\(349\) | − | 7.91263i | − | 0.423554i | −0.977318 | − | 0.211777i | \(-0.932075\pi\) | ||
0.977318 | − | 0.211777i | \(-0.0679250\pi\) | |||||||
\(350\) | −10.0215 | − | 30.5062i | −0.535671 | − | 1.63063i | ||||
\(351\) | −13.1937 | + | 10.4505i | −0.704228 | + | 0.557807i | ||||
\(352\) | −0.375524 | − | 0.0394691i | −0.0200155 | − | 0.00210371i | ||||
\(353\) | 1.90372 | − | 8.95632i | 0.101325 | − | 0.476697i | −0.898001 | − | 0.439993i | \(-0.854981\pi\) |
0.999326 | − | 0.0367036i | \(-0.0116858\pi\) | |||||||
\(354\) | −20.1835 | + | 36.1054i | −1.07274 | + | 1.91898i | ||||
\(355\) | 5.88069 | − | 10.8473i | 0.312115 | − | 0.575713i | ||||
\(356\) | −1.53995 | + | 4.73948i | −0.0816173 | + | 0.251192i | ||||
\(357\) | −6.33894 | + | 5.30152i | −0.335492 | + | 0.280586i | ||||
\(358\) | −13.7473 | − | 4.46678i | −0.726570 | − | 0.236077i | ||||
\(359\) | −5.88931 | + | 13.2276i | −0.310826 | + | 0.698127i | −0.999641 | − | 0.0268110i | \(-0.991465\pi\) |
0.688815 | + | 0.724938i | \(0.258131\pi\) | |||||||
\(360\) | 16.7206 | − | 25.8703i | 0.881254 | − | 1.36348i | ||||
\(361\) | −23.8006 | + | 10.5967i | −1.25266 | + | 0.557722i | ||||
\(362\) | −8.18811 | + | 18.3908i | −0.430358 | + | 0.966599i | ||||
\(363\) | −6.06199 | − | 17.8131i | −0.318172 | − | 0.934943i | ||||
\(364\) | 25.9612 | + | 20.9382i | 1.36073 | + | 1.09746i | ||||
\(365\) | 10.6014 | − | 25.6399i | 0.554901 | − | 1.34205i | ||||
\(366\) | 35.5201 | + | 31.1020i | 1.85667 | + | 1.62573i | ||||
\(367\) | −4.39755 | − | 4.88398i | −0.229550 | − | 0.254942i | 0.617356 | − | 0.786684i | \(-0.288204\pi\) |
−0.846906 | + | 0.531743i | \(0.821537\pi\) | |||||||
\(368\) | −2.98391 | + | 5.16829i | −0.155547 | + | 0.269416i | ||||
\(369\) | −27.1933 | − | 11.2149i | −1.41562 | − | 0.583822i | ||||
\(370\) | 24.5481 | − | 5.90992i | 1.27619 | − | 0.307242i | ||||
\(371\) | 8.07906 | + | 29.9151i | 0.419444 | + | 1.55312i | ||||
\(372\) | 0.108692 | + | 7.84230i | 0.00563542 | + | 0.406604i | ||||
\(373\) | 18.4362 | + | 1.93772i | 0.954589 | + | 0.100331i | 0.568999 | − | 0.822338i | \(-0.307331\pi\) |
0.385591 | + | 0.922670i | \(0.373998\pi\) | |||||||
\(374\) | 0.808320 | − | 1.40005i | 0.0417973 | − | 0.0723950i | ||||
\(375\) | 18.9827 | − | 3.82858i | 0.980261 | − | 0.197707i | ||||
\(376\) | −31.5304 | + | 18.2041i | −1.62606 | + | 0.938804i | ||||
\(377\) | −2.64333 | + | 3.63823i | −0.136138 | + | 0.187378i | ||||
\(378\) | −30.6032 | + | 13.3037i | −1.57406 | + | 0.684266i | ||||
\(379\) | 1.81961 | + | 5.60018i | 0.0934670 | + | 0.287662i | 0.986851 | − | 0.161632i | \(-0.0516757\pi\) |
−0.893384 | + | 0.449294i | \(0.851676\pi\) | |||||||
\(380\) | −40.2343 | − | 42.3444i | −2.06398 | − | 2.17222i | ||||
\(381\) | −8.32423 | − | 18.0202i | −0.426463 | − | 0.923203i | ||||
\(382\) | 9.45316 | + | 5.45779i | 0.483666 | + | 0.279245i | ||||
\(383\) | 6.50630 | + | 30.6097i | 0.332456 | + | 1.56408i | 0.753751 | + | 0.657160i | \(0.228242\pi\) |
−0.421295 | + | 0.906924i | \(0.638424\pi\) | |||||||
\(384\) | 11.3285 | + | 33.2887i | 0.578107 | + | 1.69876i | ||||
\(385\) | −0.177116 | − | 2.17786i | −0.00902664 | − | 0.110994i | ||||
\(386\) | −32.0437 | + | 44.1044i | −1.63098 | + | 2.24485i | ||||
\(387\) | −15.0932 | + | 9.28111i | −0.767233 | + | 0.471785i | ||||
\(388\) | −6.14783 | − | 58.4927i | −0.312109 | − | 2.96952i | ||||
\(389\) | −5.90015 | − | 13.2520i | −0.299149 | − | 0.671901i | 0.699956 | − | 0.714186i | \(-0.253203\pi\) |
−0.999106 | + | 0.0422851i | \(0.986536\pi\) | |||||||
\(390\) | −21.7822 | + | 21.2789i | −1.10299 | + | 1.07750i | ||||
\(391\) | 1.88128 | + | 2.58936i | 0.0951405 | + | 0.130950i | ||||
\(392\) | 18.9959 | + | 25.9297i | 0.959437 | + | 1.30965i | ||||
\(393\) | 5.92199 | − | 19.1238i | 0.298725 | − | 0.964670i | ||||
\(394\) | 5.56121 | − | 1.18207i | 0.280170 | − | 0.0595519i | ||||
\(395\) | 0.227244 | + | 8.47305i | 0.0114339 | + | 0.426325i | ||||
\(396\) | 3.12337 | − | 2.97311i | 0.156955 | − | 0.149404i | ||||
\(397\) | 8.54754 | − | 9.49301i | 0.428989 | − | 0.476441i | −0.489434 | − | 0.872040i | \(-0.662797\pi\) |
0.918423 | + | 0.395600i | \(0.129463\pi\) | |||||||
\(398\) | −9.59425 | + | 13.2053i | −0.480916 | + | 0.661924i | ||||
\(399\) | 5.29214 | + | 30.3003i | 0.264938 | + | 1.51691i | ||||
\(400\) | 7.61343 | − | 14.9891i | 0.380672 | − | 0.749455i | ||||
\(401\) | −13.2276 | + | 7.63694i | −0.660553 | + | 0.381370i | −0.792488 | − | 0.609888i | \(-0.791214\pi\) |
0.131935 | + | 0.991258i | \(0.457881\pi\) | |||||||
\(402\) | 23.8189 | − | 2.83773i | 1.18798 | − | 0.141533i | ||||
\(403\) | 0.783587 | − | 3.68649i | 0.0390333 | − | 0.183637i | ||||
\(404\) | 33.8476 | − | 37.5916i | 1.68398 | − | 1.87025i | ||||
\(405\) | −5.78722 | − | 19.2745i | −0.287569 | − | 0.957760i | ||||
\(406\) | −6.91799 | + | 5.62473i | −0.343334 | + | 0.279150i | ||||
\(407\) | 1.71819 | 0.0851675 | ||||||||
\(408\) | −14.2831 | − | 1.30136i | −0.707118 | − | 0.0644267i | ||||
\(409\) | −4.55151 | + | 0.478383i | −0.225058 | + | 0.0236545i | −0.216386 | − | 0.976308i | \(-0.569427\pi\) |
−0.00867161 | + | 0.999962i | \(0.502760\pi\) | |||||||
\(410\) | −51.0358 | − | 15.0824i | −2.52048 | − | 0.744864i | ||||
\(411\) | −13.4704 | − | 5.77508i | −0.664447 | − | 0.284864i | ||||
\(412\) | 17.5740 | − | 12.7682i | 0.865808 | − | 0.629046i | ||||
\(413\) | 21.8032 | − | 14.2204i | 1.07287 | − | 0.699742i | ||||
\(414\) | 4.33304 | + | 12.1766i | 0.212957 | + | 0.598446i | ||||
\(415\) | 24.4293 | − | 11.6712i | 1.19919 | − | 0.572915i | ||||
\(416\) | −0.346148 | − | 3.29338i | −0.0169713 | − | 0.161471i | ||||
\(417\) | −15.0381 | − | 32.5544i | −0.736421 | − | 1.59420i | ||||
\(418\) | −3.00872 | − | 5.21126i | −0.147161 | − | 0.254891i | ||||
\(419\) | 6.74092 | − | 20.7464i | 0.329316 | − | 1.01353i | −0.640139 | − | 0.768259i | \(-0.721123\pi\) |
0.969455 | − | 0.245270i | \(-0.0788767\pi\) | |||||||
\(420\) | −34.7281 | + | 19.6030i | −1.69456 | + | 0.956528i | ||||
\(421\) | 2.09687 | + | 6.45351i | 0.102195 | + | 0.314525i | 0.989062 | − | 0.147501i | \(-0.0471228\pi\) |
−0.886867 | + | 0.462026i | \(0.847123\pi\) | |||||||
\(422\) | 33.4298 | − | 37.1276i | 1.62734 | − | 1.80734i | ||||
\(423\) | −4.29875 | + | 23.3947i | −0.209012 | + | 1.13749i | ||||
\(424\) | −26.8900 | + | 46.5749i | −1.30590 | + | 2.26188i | ||||
\(425\) | −5.68308 | − | 6.99987i | −0.275670 | − | 0.339544i | ||||
\(426\) | −22.1609 | − | 6.86246i | −1.07370 | − | 0.332487i | ||||
\(427\) | −10.7023 | − | 27.7168i | −0.517921 | − | 1.34131i | ||||
\(428\) | 24.5337 | + | 75.5069i | 1.18588 | + | 3.64976i | ||||
\(429\) | −1.78000 | + | 1.06084i | −0.0859390 | + | 0.0512178i | ||||
\(430\) | −25.4196 | + | 19.5308i | −1.22584 | + | 0.941857i | ||||
\(431\) | 19.5710 | − | 17.6218i | 0.942701 | − | 0.848811i | −0.0459655 | − | 0.998943i | \(-0.514636\pi\) |
0.988666 | + | 0.150132i | \(0.0479698\pi\) | |||||||
\(432\) | −16.2425 | − | 6.43670i | −0.781466 | − | 0.309686i | ||||
\(433\) | 10.0204 | − | 30.8396i | 0.481549 | − | 1.48206i | −0.355368 | − | 0.934727i | \(-0.615644\pi\) |
0.836917 | − | 0.547330i | \(-0.184356\pi\) | |||||||
\(434\) | 3.37916 | − | 6.66447i | 0.162205 | − | 0.319905i | ||||
\(435\) | −2.87566 | − | 4.54352i | −0.137877 | − | 0.217845i | ||||
\(436\) | 0.241178 | − | 2.29466i | 0.0115503 | − | 0.109894i | ||||
\(437\) | 11.8481 | − | 1.24528i | 0.566770 | − | 0.0595700i | ||||
\(438\) | −51.1712 | − | 10.1377i | −2.44506 | − | 0.484398i | ||||
\(439\) | −9.58186 | − | 1.00709i | −0.457317 | − | 0.0480660i | −0.126931 | − | 0.991912i | \(-0.540513\pi\) |
−0.330387 | + | 0.943846i | \(0.607179\pi\) | |||||||
\(440\) | 2.46109 | − | 2.88526i | 0.117328 | − | 0.137549i | ||||
\(441\) | 20.9440 | + | 1.53277i | 0.997333 | + | 0.0729893i | ||||
\(442\) | 13.4842 | + | 4.38128i | 0.641377 | + | 0.208396i | ||||
\(443\) | −1.65099 | − | 2.85961i | −0.0784411 | − | 0.135864i | 0.824136 | − | 0.566391i | \(-0.191661\pi\) |
−0.902578 | + | 0.430527i | \(0.858328\pi\) | |||||||
\(444\) | −13.1504 | − | 28.4677i | −0.624088 | − | 1.35102i | ||||
\(445\) | 1.74448 | + | 2.27048i | 0.0826965 | + | 0.107631i | ||||
\(446\) | −9.31158 | + | 10.3416i | −0.440916 | + | 0.489687i | ||||
\(447\) | −0.305706 | − | 22.0572i | −0.0144594 | − | 1.04327i | ||||
\(448\) | 3.76285 | − | 24.0651i | 0.177778 | − | 1.13697i | ||||
\(449\) | − | 12.8007i | − | 0.604101i | −0.953292 | − | 0.302051i | \(-0.902329\pi\) | ||
0.953292 | − | 0.302051i | \(-0.0976711\pi\) | |||||||
\(450\) | −14.0276 | − | 33.5988i | −0.661266 | − | 1.58386i | ||||
\(451\) | −3.13622 | − | 1.81070i | −0.147679 | − | 0.0852624i | ||||
\(452\) | −16.0541 | + | 7.14775i | −0.755122 | + | 0.336202i | ||||
\(453\) | −3.03596 | − | 5.09408i | −0.142642 | − | 0.239341i | ||||
\(454\) | −20.8106 | + | 6.76177i | −0.976689 | + | 0.317345i | ||||
\(455\) | 18.3597 | − | 5.49050i | 0.860716 | − | 0.257399i | ||||
\(456\) | −30.7771 | + | 43.6197i | −1.44127 | + | 2.04268i | ||||
\(457\) | 23.1016 | − | 13.3377i | 1.08065 | − | 0.623913i | 0.149577 | − | 0.988750i | \(-0.452209\pi\) |
0.931071 | + | 0.364837i | \(0.118875\pi\) | |||||||
\(458\) | 40.5385 | − | 36.5011i | 1.89424 | − | 1.70558i | ||||
\(459\) | −6.69674 | + | 6.55385i | −0.312577 | + | 0.305907i | ||||
\(460\) | 6.65832 | + | 13.9367i | 0.310446 | + | 0.649804i | ||||
\(461\) | −4.64925 | − | 3.37788i | −0.216537 | − | 0.157323i | 0.474229 | − | 0.880401i | \(-0.342727\pi\) |
−0.690766 | + | 0.723078i | \(0.742727\pi\) | |||||||
\(462\) | −3.95096 | + | 1.12599i | −0.183815 | + | 0.0523860i | ||||
\(463\) | 12.5155 | + | 17.2261i | 0.581644 | + | 0.800565i | 0.993874 | − | 0.110515i | \(-0.0352500\pi\) |
−0.412230 | + | 0.911080i | \(0.635250\pi\) | |||||||
\(464\) | −4.64259 | − | 0.487956i | −0.215527 | − | 0.0226528i | ||||
\(465\) | 3.75038 | + | 2.49832i | 0.173920 | + | 0.115857i | ||||
\(466\) | −6.05400 | − | 57.6000i | −0.280446 | − | 2.66827i | ||||
\(467\) | −1.09233 | − | 5.13903i | −0.0505472 | − | 0.237806i | 0.945620 | − | 0.325273i | \(-0.105456\pi\) |
−0.996167 | + | 0.0874669i | \(0.972123\pi\) | |||||||
\(468\) | 31.1999 | + | 21.3725i | 1.44221 | + | 0.987945i | ||||
\(469\) | −14.1035 | − | 5.38192i | −0.651240 | − | 0.248514i | ||||
\(470\) | −3.34926 | + | 42.9037i | −0.154490 | + | 1.97900i | ||||
\(471\) | 7.17653 | + | 12.0416i | 0.330677 | + | 0.554847i | ||||
\(472\) | 44.1912 | + | 9.39312i | 2.03406 | + | 0.432353i | ||||
\(473\) | −1.99280 | + | 0.887250i | −0.0916288 | + | 0.0407958i | ||||
\(474\) | 15.5409 | − | 3.52911i | 0.713817 | − | 0.162097i | ||||
\(475\) | −33.1409 | + | 5.29204i | −1.52061 | + | 0.242815i | ||||
\(476\) | 15.5922 | + | 10.0820i | 0.714667 | + | 0.462107i | ||||
\(477\) | 11.7795 | + | 33.1024i | 0.539346 | + | 1.51566i | ||||
\(478\) | −26.9145 | − | 24.2339i | −1.23104 | − | 1.10843i | ||||
\(479\) | 27.0614 | + | 5.75208i | 1.23647 | + | 0.262819i | 0.779351 | − | 0.626588i | \(-0.215549\pi\) |
0.457116 | + | 0.889407i | \(0.348882\pi\) | |||||||
\(480\) | 3.81236 | + | 1.06943i | 0.174009 | + | 0.0488125i | ||||
\(481\) | 3.13296 | + | 14.7394i | 0.142851 | + | 0.672060i | ||||
\(482\) | 5.47162i | 0.249225i | ||||||||
\(483\) | 1.14502 | − | 8.05257i | 0.0521004 | − | 0.366405i | ||||
\(484\) | −34.2041 | + | 24.8508i | −1.55473 | + | 1.12958i | ||||
\(485\) | −29.7079 | − | 16.1057i | −1.34897 | − | 0.731323i | ||||
\(486\) | −33.4180 | + | 17.7464i | −1.51587 | + | 0.804995i | ||||
\(487\) | −32.3717 | + | 3.40240i | −1.46690 | + | 0.154178i | −0.804045 | − | 0.594568i | \(-0.797323\pi\) |
−0.662857 | + | 0.748746i | \(0.730656\pi\) | |||||||
\(488\) | 20.9739 | − | 47.1081i | 0.949443 | − | 2.13248i | ||||
\(489\) | 0.247796 | + | 0.331308i | 0.0112057 | + | 0.0149823i | ||||
\(490\) | 37.9752 | − | 1.16853i | 1.71555 | − | 0.0527887i | ||||
\(491\) | −1.55528 | − | 2.14065i | −0.0701887 | − | 0.0966064i | 0.772479 | − | 0.635040i | \(-0.219016\pi\) |
−0.842668 | + | 0.538433i | \(0.819016\pi\) | |||||||
\(492\) | −5.99703 | + | 65.8206i | −0.270367 | + | 2.96742i | ||||
\(493\) | −1.25180 | + | 2.16818i | −0.0563782 | + | 0.0976498i | ||||
\(494\) | 39.2184 | − | 35.3124i | 1.76452 | − | 1.58878i | ||||
\(495\) | −0.392896 | − | 2.44626i | −0.0176593 | − | 0.109951i | ||||
\(496\) | 3.72073 | − | 1.20894i | 0.167066 | − | 0.0542829i | ||||
\(497\) | 10.3437 | + | 10.3030i | 0.463980 | + | 0.462152i | ||||
\(498\) | −30.4885 | − | 40.7637i | −1.36622 | − | 1.82666i | ||||
\(499\) | −2.27017 | − | 3.93205i | −0.101627 | − | 0.176023i | 0.810728 | − | 0.585423i | \(-0.199071\pi\) |
−0.912355 | + | 0.409400i | \(0.865738\pi\) | |||||||
\(500\) | −20.8344 | − | 38.1990i | −0.931744 | − | 1.70831i | ||||
\(501\) | 19.4266 | − | 17.9855i | 0.867916 | − | 0.803532i | ||||
\(502\) | −5.76068 | + | 54.8092i | −0.257112 | + | 2.44626i | ||||
\(503\) | 22.4333 | − | 7.28903i | 1.00025 | − | 0.325002i | 0.237286 | − | 0.971440i | \(-0.423742\pi\) |
0.762966 | + | 0.646438i | \(0.223742\pi\) | |||||||
\(504\) | 23.7677 | + | 27.6313i | 1.05870 | + | 1.23080i | ||||
\(505\) | −6.80274 | − | 28.2566i | −0.302718 | − | 1.25740i | ||||
\(506\) | 0.330827 | + | 1.55642i | 0.0147070 | + | 0.0691912i | ||||
\(507\) | 2.95100 | + | 3.18746i | 0.131059 | + | 0.141560i | ||||
\(508\) | −33.1452 | + | 29.8440i | −1.47058 | + | 1.32411i | ||||
\(509\) | −19.1318 | − | 8.51804i | −0.848003 | − | 0.377555i | −0.0637273 | − | 0.997967i | \(-0.520299\pi\) |
−0.784276 | + | 0.620412i | \(0.786965\pi\) | |||||||
\(510\) | −10.8218 | + | 13.0489i | −0.479196 | + | 0.577816i | ||||
\(511\) | 25.5533 | + | 20.6092i | 1.13041 | + | 0.911699i | ||||
\(512\) | 27.7629 | − | 20.1709i | 1.22696 | − | 0.891437i | ||||
\(513\) | 8.66313 | + | 33.7843i | 0.382487 | + | 1.49162i | ||||
\(514\) | 15.0288 | + | 33.7553i | 0.662893 | + | 1.48888i | ||||
\(515\) | −0.334616 | − | 12.4765i | −0.0147449 | − | 0.549781i | ||||
\(516\) | 29.9524 | + | 26.2269i | 1.31858 | + | 1.15457i | ||||
\(517\) | −0.904931 | + | 2.78509i | −0.0397988 | + | 0.122488i | ||||
\(518\) | −1.50467 | + | 29.8377i | −0.0661115 | + | 1.31099i | ||||
\(519\) | 8.80702 | − | 12.4820i | 0.386585 | − | 0.547899i | ||||
\(520\) | 29.2386 | + | 15.8513i | 1.28220 | + | 0.695126i | ||||
\(521\) | −7.03284 | − | 1.49488i | −0.308114 | − | 0.0654917i | 0.0512596 | − | 0.998685i | \(-0.483676\pi\) |
−0.359374 | + | 0.933194i | \(0.617010\pi\) | |||||||
\(522\) | −7.32272 | + | 6.97044i | −0.320507 | + | 0.305088i | ||||
\(523\) | −0.104717 | + | 0.996316i | −0.00457895 | + | 0.0435658i | −0.996573 | − | 0.0827205i | \(-0.973639\pi\) |
0.991994 | + | 0.126286i | \(0.0403058\pi\) | |||||||
\(524\) | −44.9828 | −1.96508 | ||||||||
\(525\) | −2.00507 | + | 22.8250i | −0.0875084 | + | 0.996164i | ||||
\(526\) | 25.2104 | 1.09923 | ||||||||
\(527\) | 0.219318 | − | 2.08667i | 0.00955366 | − | 0.0908970i | ||||
\(528\) | −1.87751 | − | 1.04956i | −0.0817082 | − | 0.0456763i | ||||
\(529\) | 19.4160 | + | 4.12700i | 0.844174 | + | 0.179435i | ||||
\(530\) | 27.4030 | + | 57.3580i | 1.19031 | + | 2.49147i | ||||
\(531\) | 23.3891 | − | 18.0043i | 1.01500 | − | 0.781319i | ||||
\(532\) | 61.5180 | − | 31.4981i | 2.66714 | − | 1.36561i | ||||
\(533\) | 9.81438 | − | 30.2055i | 0.425108 | − | 1.30835i | ||||
\(534\) | 3.54644 | − | 4.05022i | 0.153470 | − | 0.175270i | ||||
\(535\) | 43.7458 | + | 12.9280i | 1.89129 | + | 0.558924i | ||||
\(536\) | −10.6563 | − | 23.9343i | −0.460280 | − | 1.03381i | ||||
\(537\) | 7.76011 | + | 6.79489i | 0.334874 | + | 0.293221i | ||||
\(538\) | −21.0666 | + | 15.3058i | −0.908246 | + | 0.659880i | ||||
\(539\) | 2.53099 | + | 0.527544i | 0.109017 | + | 0.0227229i | ||||
\(540\) | −37.5237 | + | 25.2324i | −1.61476 | + | 1.08583i | ||||
\(541\) | −38.0447 | − | 16.9386i | −1.63567 | − | 0.728246i | −0.636591 | − | 0.771202i | \(-0.719656\pi\) |
−0.999077 | + | 0.0429557i | \(0.986323\pi\) | |||||||
\(542\) | −45.5427 | + | 41.0068i | −1.95623 | + | 1.76139i | ||||
\(543\) | 10.5411 | − | 9.75913i | 0.452362 | − | 0.418804i | ||||
\(544\) | −0.383300 | − | 1.80328i | −0.0164338 | − | 0.0773151i | ||||
\(545\) | −1.00860 | − | 0.860325i | −0.0432038 | − | 0.0368523i | ||||
\(546\) | −16.8635 | − | 31.8400i | −0.721691 | − | 1.36263i | ||||
\(547\) | 21.4720 | − | 6.97667i | 0.918076 | − | 0.298301i | 0.188399 | − | 0.982093i | \(-0.439670\pi\) |
0.729677 | + | 0.683792i | \(0.239670\pi\) | |||||||
\(548\) | −3.44225 | + | 32.7508i | −0.147046 | + | 1.39905i | ||||
\(549\) | −14.5504 | − | 30.3853i | −0.620997 | − | 1.29681i | ||||
\(550\) | −1.16564 | − | 4.32829i | −0.0497030 | − | 0.184559i | ||||
\(551\) | 4.65943 | + | 8.07037i | 0.198498 | + | 0.343809i | ||||
\(552\) | 11.3043 | − | 8.45490i | 0.481145 | − | 0.359864i | ||||
\(553\) | −9.69242 | − | 2.57658i | −0.412164 | − | 0.109567i | ||||
\(554\) | −4.83256 | + | 1.57020i | −0.205316 | + | 0.0667112i | ||||
\(555\) | −17.7613 | − | 3.02632i | −0.753926 | − | 0.128460i | ||||
\(556\) | −59.8784 | + | 53.9147i | −2.53941 | + | 2.28649i | ||||
\(557\) | −22.2185 | + | 38.4836i | −0.941428 | + | 1.63060i | −0.178678 | + | 0.983908i | \(0.557182\pi\) |
−0.762750 | + | 0.646693i | \(0.776151\pi\) | |||||||
\(558\) | 3.23032 | − | 7.83272i | 0.136750 | − | 0.331585i | ||||
\(559\) | −11.2449 | − | 15.4773i | −0.475609 | − | 0.654620i | ||||
\(560\) | 14.4648 | + | 13.6551i | 0.611250 | + | 0.577033i | ||||
\(561\) | −0.923787 | + | 0.690931i | −0.0390023 | + | 0.0291711i | ||||
\(562\) | −8.34359 | + | 18.7400i | −0.351953 | + | 0.790499i | ||||
\(563\) | −22.6770 | + | 2.38344i | −0.955720 | + | 0.100450i | −0.569531 | − | 0.821970i | \(-0.692875\pi\) |
−0.386189 | + | 0.922420i | \(0.626209\pi\) | |||||||
\(564\) | 53.0706 | − | 6.32270i | 2.23468 | − | 0.266234i | ||||
\(565\) | −1.83375 | + | 9.92911i | −0.0771464 | + | 0.417721i | ||||
\(566\) | −44.1960 | + | 32.1103i | −1.85770 | + | 1.34969i | ||||
\(567\) | 23.8115 | − | 0.120234i | 0.999987 | − | 0.00504937i | ||||
\(568\) | 25.3385i | 1.06318i | ||||||||
\(569\) | 1.52643 | + | 7.18127i | 0.0639911 | + | 0.301054i | 0.998491 | − | 0.0549078i | \(-0.0174865\pi\) |
−0.934500 | + | 0.355962i | \(0.884153\pi\) | |||||||
\(570\) | 21.9230 | + | 59.1694i | 0.918255 | + | 2.47833i | ||||
\(571\) | 21.1142 | + | 4.48797i | 0.883602 | + | 0.187816i | 0.627297 | − | 0.778780i | \(-0.284161\pi\) |
0.256306 | + | 0.966596i | \(0.417495\pi\) | |||||||
\(572\) | 3.46003 | + | 3.11543i | 0.144671 | + | 0.130262i | ||||
\(573\) | −4.66517 | − | 6.23741i | −0.194890 | − | 0.260572i | ||||
\(574\) | 34.1906 | − | 52.8771i | 1.42709 | − | 2.20705i | ||||
\(575\) | 8.76694 | + | 1.37717i | 0.365607 | + | 0.0574319i | ||||
\(576\) | 2.12460 | − | 27.5369i | 0.0885251 | − | 1.14737i | ||||
\(577\) | 29.1721 | − | 12.9882i | 1.21445 | − | 0.540708i | 0.303344 | − | 0.952881i | \(-0.401897\pi\) |
0.911105 | + | 0.412173i | \(0.135230\pi\) | |||||||
\(578\) | −32.6417 | − | 6.93820i | −1.35772 | − | 0.288591i | ||||
\(579\) | 33.4165 | − | 19.9155i | 1.38874 | − | 0.827662i | ||||
\(580\) | −7.84072 | + | 9.19208i | −0.325568 | + | 0.381680i | ||||
\(581\) | 5.07374 | + | 31.6301i | 0.210494 | + | 1.31224i | ||||
\(582\) | −18.7945 | + | 60.6931i | −0.779059 | + | 2.51581i | ||||
\(583\) | 0.899362 | + | 4.23117i | 0.0372478 | + | 0.175237i | ||||
\(584\) | 5.95565 | + | 56.6642i | 0.246447 | + | 2.34478i | ||||
\(585\) | 20.2687 | − | 7.83097i | 0.838009 | − | 0.323771i | ||||
\(586\) | −5.95471 | − | 0.625865i | −0.245987 | − | 0.0258543i | ||||
\(587\) | −8.61667 | − | 11.8598i | −0.355648 | − | 0.489508i | 0.593282 | − | 0.804995i | \(-0.297832\pi\) |
−0.948930 | + | 0.315487i | \(0.897832\pi\) | |||||||
\(588\) | −10.6306 | − | 45.9722i | −0.438400 | − | 1.89586i | ||||
\(589\) | −6.31824 | − | 4.59047i | −0.260339 | − | 0.189147i | ||||
\(590\) | 38.7122 | − | 36.7831i | 1.59375 | − | 1.51434i | ||||
\(591\) | −3.97963 | − | 0.788417i | −0.163700 | − | 0.0324312i | ||||
\(592\) | −11.6242 | + | 10.4665i | −0.477751 | + | 0.430169i | ||||
\(593\) | −19.7636 | + | 11.4105i | −0.811594 | + | 0.468574i | −0.847509 | − | 0.530781i | \(-0.821899\pi\) |
0.0359148 | + | 0.999355i | \(0.488566\pi\) | |||||||
\(594\) | −4.36669 | + | 1.62241i | −0.179167 | + | 0.0665683i | ||||
\(595\) | 9.84560 | − | 4.10829i | 0.403630 | − | 0.168423i | ||||
\(596\) | −47.1395 | + | 15.3165i | −1.93091 | + | 0.627390i | ||||
\(597\) | 10.0053 | − | 5.96294i | 0.409489 | − | 0.244047i | ||||
\(598\) | −12.7484 | + | 5.67596i | −0.521322 | + | 0.232107i | ||||
\(599\) | −8.62297 | − | 4.97847i | −0.352325 | − | 0.203415i | 0.313384 | − | 0.949627i | \(-0.398537\pi\) |
−0.665709 | + | 0.746212i | \(0.731871\pi\) | |||||||
\(600\) | −30.5227 | + | 25.4908i | −1.24609 | + | 1.04066i | ||||
\(601\) | − | 4.58266i | − | 0.186931i | −0.995623 | − | 0.0934653i | \(-0.970206\pi\) | ||
0.995623 | − | 0.0934653i | \(-0.0297944\pi\) | |||||||
\(602\) | −13.6626 | − | 35.3834i | −0.556846 | − | 1.44212i | ||||
\(603\) | −16.4193 | − | 4.83616i | −0.668645 | − | 0.196944i | ||||
\(604\) | −8.91587 | + | 9.90208i | −0.362782 | + | 0.402910i | ||||
\(605\) | 0.651261 | + | 24.2830i | 0.0264775 | + | 0.987244i | ||||
\(606\) | −49.6082 | + | 22.9160i | −2.01520 | + | 0.930897i | ||||
\(607\) | −10.1116 | − | 17.5138i | −0.410417 | − | 0.710863i | 0.584518 | − | 0.811380i | \(-0.301283\pi\) |
−0.994935 | + | 0.100518i | \(0.967950\pi\) | |||||||
\(608\) | −6.52626 | − | 2.12051i | −0.264675 | − | 0.0859981i | ||||
\(609\) | 6.11862 | − | 1.74376i | 0.247939 | − | 0.0706607i | ||||
\(610\) | −31.8797 | − | 51.9491i | −1.29077 | − | 2.10336i | ||||
\(611\) | −25.5419 | − | 2.68456i | −1.03331 | − | 0.108606i | ||||
\(612\) | 18.5180 | + | 10.0176i | 0.748544 | + | 0.404937i | ||||
\(613\) | 14.3297 | − | 1.50612i | 0.578773 | − | 0.0608315i | 0.189381 | − | 0.981904i | \(-0.439352\pi\) |
0.389392 | + | 0.921072i | \(0.372685\pi\) | |||||||
\(614\) | 7.17872 | − | 68.3010i | 0.289710 | − | 2.75640i | ||||
\(615\) | 29.2306 | + | 24.2415i | 1.17869 | + | 0.977513i | ||||
\(616\) | 2.45129 | + | 3.75839i | 0.0987653 | + | 0.151430i | ||||
\(617\) | −5.39818 | + | 16.6139i | −0.217322 | + | 0.668850i | 0.781658 | + | 0.623707i | \(0.214374\pi\) |
−0.998981 | + | 0.0451425i | \(0.985626\pi\) | |||||||
\(618\) | −22.8839 | + | 5.19659i | −0.920525 | + | 0.209038i | ||||
\(619\) | −8.76898 | + | 7.89563i | −0.352455 | + | 0.317352i | −0.826272 | − | 0.563271i | \(-0.809543\pi\) |
0.473817 | + | 0.880623i | \(0.342876\pi\) | |||||||
\(620\) | 2.86960 | − | 9.71019i | 0.115246 | − | 0.389971i | ||||
\(621\) | 0.581958 | − | 9.20422i | 0.0233532 | − | 0.369353i | ||||
\(622\) | 25.6469 | + | 78.9329i | 1.02835 | + | 3.16492i | ||||
\(623\) | −3.16044 | + | 1.22034i | −0.126620 | + | 0.0488920i | ||||
\(624\) | 5.58015 | − | 18.0199i | 0.223385 | − | 0.721375i | ||||
\(625\) | −24.8696 | − | 2.55022i | −0.994783 | − | 0.102009i | ||||
\(626\) | 18.9397 | − | 32.8045i | 0.756982 | − | 1.31113i | ||||
\(627\) | 0.507969 | + | 4.26372i | 0.0202863 | + | 0.170277i | ||||
\(628\) | 21.0757 | − | 23.4069i | 0.841012 | − | 0.934038i | ||||
\(629\) | 2.59233 | + | 7.97837i | 0.103363 | + | 0.318118i | ||||
\(630\) | 42.8252 | − | 4.68066i | 1.70620 | − | 0.186482i | ||||
\(631\) | 7.48117 | − | 23.0247i | 0.297821 | − | 0.916598i | −0.684438 | − | 0.729071i | \(-0.739953\pi\) |
0.982259 | − | 0.187528i | \(-0.0600474\pi\) | |||||||
\(632\) | −8.70309 | − | 15.0742i | −0.346190 | − | 0.599619i | ||||
\(633\) | −32.3639 | + | 14.9501i | −1.28635 | + | 0.594215i | ||||
\(634\) | 1.71307 | + | 16.2988i | 0.0680349 | + | 0.647308i | ||||
\(635\) | 3.36098 | + | 25.4048i | 0.133376 | + | 1.00816i | ||||
\(636\) | 63.2205 | − | 47.2847i | 2.50686 | − | 1.87496i | ||||
\(637\) | 0.0895138 | + | 22.6739i | 0.00354667 | + | 0.898373i | ||||
\(638\) | −1.00695 | + | 0.731593i | −0.0398656 | + | 0.0289640i | ||||
\(639\) | 12.6044 | + | 10.7317i | 0.498624 | + | 0.424541i | ||||
\(640\) | −1.21706 | − | 45.3796i | −0.0481086 | − | 1.79378i | ||||
\(641\) | −24.3094 | + | 2.55502i | −0.960162 | + | 0.100917i | −0.571624 | − | 0.820516i | \(-0.693686\pi\) |
−0.388538 | + | 0.921433i | \(0.627020\pi\) | |||||||
\(642\) | 7.78208 | − | 85.4125i | 0.307134 | − | 3.37096i | ||||
\(643\) | −36.1433 | −1.42535 | −0.712677 | − | 0.701493i | \(-0.752517\pi\) | ||||
−0.712677 | + | 0.701493i | \(0.752517\pi\) | |||||||
\(644\) | −18.0448 | + | 2.89454i | −0.711064 | + | 0.114061i | ||||
\(645\) | 22.1627 | − | 5.66171i | 0.872657 | − | 0.222930i | ||||
\(646\) | 19.6589 | − | 21.8334i | 0.773470 | − | 0.859025i | ||||
\(647\) | 7.44290 | − | 35.0161i | 0.292611 | − | 1.37662i | −0.548676 | − | 0.836035i | \(-0.684868\pi\) |
0.841286 | − | 0.540590i | \(-0.181799\pi\) | |||||||
\(648\) | 29.3124 | + | 29.1327i | 1.15150 | + | 1.14444i | ||||
\(649\) | 3.14699 | − | 1.81692i | 0.123530 | − | 0.0713202i | ||||
\(650\) | 35.0046 | − | 17.8916i | 1.37299 | − | 0.701767i | ||||
\(651\) | −4.09006 | + | 3.42069i | −0.160302 | + | 0.134067i | ||||
\(652\) | 0.546408 | − | 0.752066i | 0.0213990 | − | 0.0294532i | ||||
\(653\) | 1.17303 | − | 1.30278i | 0.0459042 | − | 0.0509817i | −0.719755 | − | 0.694228i | \(-0.755746\pi\) |
0.765660 | + | 0.643246i | \(0.222413\pi\) | |||||||
\(654\) | −1.21623 | + | 2.17565i | −0.0475582 | + | 0.0850747i | ||||
\(655\) | −14.6255 | + | 21.3091i | −0.571466 | + | 0.832617i | ||||
\(656\) | 32.2476 | − | 6.85445i | 1.25906 | − | 0.267621i | ||||
\(657\) | 30.7097 | + | 21.0367i | 1.19810 | + | 0.820720i | ||||
\(658\) | −47.5728 | − | 18.1538i | −1.85458 | − | 0.707709i | ||||
\(659\) | 2.31267 | + | 3.18312i | 0.0900889 | + | 0.123997i | 0.851682 | − | 0.524058i | \(-0.175583\pi\) |
−0.761593 | + | 0.648055i | \(0.775583\pi\) | |||||||
\(660\) | −4.98942 | + | 2.46921i | −0.194213 | + | 0.0961140i | ||||
\(661\) | 14.8054 | + | 33.2534i | 0.575862 | + | 1.29341i | 0.933175 | + | 0.359422i | \(0.117026\pi\) |
−0.357313 | + | 0.933985i | \(0.616307\pi\) | |||||||
\(662\) | 4.28271 | + | 40.7472i | 0.166452 | + | 1.58369i | ||||
\(663\) | −7.61156 | − | 6.66481i | −0.295609 | − | 0.258840i | ||||
\(664\) | −32.6799 | + | 44.9800i | −1.26822 | + | 1.74556i | ||||
\(665\) | 5.08049 | − | 39.3833i | 0.197013 | − | 1.52722i | ||||
\(666\) | 0.938836 | + | 33.8627i | 0.0363792 | + | 1.31215i | ||||
\(667\) | −0.512332 | − | 2.41033i | −0.0198376 | − | 0.0933284i | ||||
\(668\) | −51.5153 | − | 29.7424i | −1.99319 | − | 1.15077i | ||||
\(669\) | 9.01468 | − | 4.16423i | 0.348528 | − | 0.160999i | ||||
\(670\) | −30.4526 | − | 5.62410i | −1.17648 | − | 0.217278i | ||||
\(671\) | −1.28169 | − | 3.94463i | −0.0494790 | − | 0.152281i | ||||
\(672\) | −2.48909 | + | 3.96904i | −0.0960185 | + | 0.153109i | ||||
\(673\) | −18.5519 | + | 25.5345i | −0.715124 | + | 0.984283i | 0.284548 | + | 0.958662i | \(0.408157\pi\) |
−0.999672 | + | 0.0256216i | \(0.991843\pi\) | |||||||
\(674\) | 61.7677 | − | 35.6616i | 2.37920 | − | 1.37363i | ||||
\(675\) | −0.247252 | + | 25.9796i | −0.00951672 | + | 0.999955i | ||||
\(676\) | 4.88004 | − | 8.45248i | 0.187694 | − | 0.325095i | ||||
\(677\) | −41.0091 | − | 4.31023i | −1.57611 | − | 0.165656i | −0.724291 | − | 0.689494i | \(-0.757833\pi\) |
−0.851818 | + | 0.523838i | \(0.824500\pi\) | |||||||
\(678\) | 18.9824 | − | 0.263090i | 0.729014 | − | 0.0101039i | ||||
\(679\) | 28.2172 | − | 28.3288i | 1.08288 | − | 1.08716i | ||||
\(680\) | 17.1108 | + | 7.07484i | 0.656169 | + | 0.271308i | ||||
\(681\) | 15.5496 | + | 1.41675i | 0.595863 | + | 0.0542902i | ||||
\(682\) | 0.521551 | − | 0.903353i | 0.0199712 | − | 0.0345912i | ||||
\(683\) | −8.19980 | − | 9.10681i | −0.313757 | − | 0.348462i | 0.565553 | − | 0.824712i | \(-0.308663\pi\) |
−0.879310 | + | 0.476249i | \(0.841996\pi\) | |||||||
\(684\) | 66.7555 | − | 41.0491i | 2.55246 | − | 1.56955i | ||||
\(685\) | 14.3955 | + | 12.2791i | 0.550022 | + | 0.469161i | ||||
\(686\) | −11.3777 | + | 43.4905i | −0.434401 | + | 1.66048i | ||||
\(687\) | −36.8499 | + | 12.5405i | −1.40591 | + | 0.478449i | ||||
\(688\) | 8.07726 | − | 18.1418i | 0.307943 | − | 0.691650i | ||||
\(689\) | −34.6570 | + | 15.4303i | −1.32033 | + | 0.587847i | ||||
\(690\) | −0.678448 | − | 16.6717i | −0.0258281 | − | 0.634682i | ||||
\(691\) | −6.04771 | + | 13.5834i | −0.230066 | + | 0.516736i | −0.991281 | − | 0.131763i | \(-0.957936\pi\) |
0.761215 | + | 0.648499i | \(0.224603\pi\) | |||||||
\(692\) | −32.6445 | − | 10.6068i | −1.24096 | − | 0.403212i | ||||
\(693\) | 2.90780 | + | 0.372435i | 0.110458 | + | 0.0141476i | ||||
\(694\) | 7.36627 | − | 22.6711i | 0.279620 | − | 0.860582i | ||||
\(695\) | 6.07177 | + | 45.8951i | 0.230315 | + | 1.74090i | ||||
\(696\) | 9.63839 | + | 5.38803i | 0.365342 | + | 0.204233i | ||||
\(697\) | 3.67613 | − | 17.2948i | 0.139243 | − | 0.655089i | ||||
\(698\) | 19.1011 | + | 2.00761i | 0.722987 | + | 0.0759890i | ||||
\(699\) | −12.2252 | + | 39.4786i | −0.462398 | + | 1.49322i | ||||
\(700\) | 50.3234 | − | 10.8671i | 1.90204 | − | 0.410738i | ||||
\(701\) | − | 5.67696i | − | 0.214416i | −0.994237 | − | 0.107208i | \(-0.965809\pi\) | ||
0.994237 | − | 0.107208i | \(-0.0341911\pi\) | |||||||
\(702\) | −21.8800 | − | 34.5012i | −0.825809 | − | 1.30216i | ||||
\(703\) | 30.5429 | + | 6.49210i | 1.15195 | + | 0.244854i | ||||
\(704\) | 0.706951 | − | 3.32594i | 0.0266442 | − | 0.125351i | ||||
\(705\) | 14.2600 | − | 27.1962i | 0.537062 | − | 1.02427i | ||||
\(706\) | 21.1375 | + | 6.86800i | 0.795522 | + | 0.258481i | ||||
\(707\) | 34.3453 | + | 1.73199i | 1.29169 | + | 0.0651380i | ||||
\(708\) | −54.1893 | − | 38.2348i | −2.03656 | − | 1.43695i | ||||
\(709\) | 4.45945 | + | 1.98548i | 0.167478 | + | 0.0745661i | 0.488763 | − | 0.872416i | \(-0.337448\pi\) |
−0.321285 | + | 0.946983i | \(0.604115\pi\) | |||||||
\(710\) | 24.6933 | + | 16.9482i | 0.926721 | + | 0.636054i | ||||
\(711\) | −11.1846 | − | 2.05516i | −0.419456 | − | 0.0770746i | ||||
\(712\) | −5.37155 | − | 2.39157i | −0.201307 | − | 0.0896278i | ||||
\(713\) | 1.21386 | + | 1.67073i | 0.0454592 | + | 0.0625693i | ||||
\(714\) | −11.1896 | − | 16.6473i | −0.418758 | − | 0.623010i | ||||
\(715\) | 2.60081 | − | 0.626142i | 0.0972649 | − | 0.0234164i | ||||
\(716\) | 9.42650 | − | 21.1723i | 0.352285 | − | 0.791245i | ||||
\(717\) | 10.8377 | + | 23.4612i | 0.404740 | + | 0.876176i | ||||
\(718\) | −30.4372 | − | 17.5729i | −1.13591 | − | 0.655816i | ||||
\(719\) | −29.1621 | + | 6.19859i | −1.08756 | + | 0.231168i | −0.716603 | − | 0.697481i | \(-0.754304\pi\) |
−0.370958 | + | 0.928650i | \(0.620971\pi\) | |||||||
\(720\) | 17.5596 | + | 14.1565i | 0.654409 | + | 0.527582i | ||||
\(721\) | 14.2721 | + | 3.79401i | 0.531519 | + | 0.141296i | ||||
\(722\) | −19.5418 | − | 60.1434i | −0.727269 | − | 2.23830i | ||||
\(723\) | 1.53848 | − | 3.58850i | 0.0572165 | − | 0.133458i | ||||
\(724\) | −27.9528 | − | 16.1386i | −1.03886 | − | 0.599785i | ||||
\(725\) | 1.80516 | + | 6.70296i | 0.0670418 | + | 0.248942i | ||||
\(726\) | 44.5388 | − | 10.1141i | 1.65299 | − | 0.375370i | ||||
\(727\) | −4.23429 | − | 3.07639i | −0.157041 | − | 0.114097i | 0.506490 | − | 0.862246i | \(-0.330943\pi\) |
−0.663531 | + | 0.748149i | \(0.730943\pi\) | |||||||
\(728\) | −27.7715 | + | 27.8814i | −1.02928 | + | 1.03335i | ||||
\(729\) | 26.9067 | − | 2.24254i | 0.996545 | − | 0.0830572i | ||||
\(730\) | 59.2049 | + | 32.0971i | 2.19127 | + | 1.18797i | ||||
\(731\) | −7.12656 | − | 7.91485i | −0.263585 | − | 0.292741i | ||||
\(732\) | −55.5468 | + | 51.4262i | −2.05307 | + | 1.90077i | ||||
\(733\) | 20.4906 | − | 4.35540i | 0.756836 | − | 0.160870i | 0.186696 | − | 0.982418i | \(-0.440222\pi\) |
0.570140 | + | 0.821547i | \(0.306889\pi\) | |||||||
\(734\) | 12.9057 | − | 9.37653i | 0.476357 | − | 0.346094i | ||||
\(735\) | −25.2342 | − | 9.91128i | −0.930779 | − | 0.365583i | ||||
\(736\) | 1.46800 | + | 1.06656i | 0.0541111 | + | 0.0393140i | ||||
\(737\) | −1.92511 | − | 0.857114i | −0.0709124 | − | 0.0315722i | ||||
\(738\) | 33.9722 | − | 62.7991i | 1.25053 | − | 2.31167i | ||||
\(739\) | 15.0151 | − | 6.68517i | 0.552341 | − | 0.245918i | −0.111535 | − | 0.993760i | \(-0.535577\pi\) |
0.663876 | + | 0.747842i | \(0.268910\pi\) | |||||||
\(740\) | 5.30956 | + | 40.1337i | 0.195183 | + | 1.47534i | ||||
\(741\) | −35.6499 | + | 12.1321i | −1.30963 | + | 0.445684i | ||||
\(742\) | −74.2650 | + | 11.9127i | −2.72635 | + | 0.437330i | ||||
\(743\) | 21.5396 | 0.790211 | 0.395106 | − | 0.918636i | \(-0.370708\pi\) | ||||
0.395106 | + | 0.918636i | \(0.370708\pi\) | |||||||
\(744\) | −9.21584 | − | 0.839672i | −0.337869 | − | 0.0307839i | ||||
\(745\) | −8.07101 | + | 27.3108i | −0.295699 | + | 1.00059i | ||||
\(746\) | −9.35532 | + | 44.0133i | −0.342523 | + | 1.61144i | ||||
\(747\) | 8.53390 | + | 35.3070i | 0.312239 | + | 1.29182i | ||||
\(748\) | 2.09699 | + | 1.52355i | 0.0766735 | + | 0.0557065i | ||||
\(749\) | −29.3067 | + | 45.3240i | −1.07084 | + | 1.65610i | ||||
\(750\) | 4.42588 | + | 46.7956i | 0.161610 | + | 1.70873i | ||||
\(751\) | −22.4760 | − | 38.9295i | −0.820159 | − | 1.42056i | −0.905563 | − | 0.424211i | \(-0.860551\pi\) |
0.0854037 | − | 0.996346i | \(-0.472782\pi\) | |||||||
\(752\) | −10.8434 | − | 24.3546i | −0.395417 | − | 0.888122i | ||||
\(753\) | 19.1890 | − | 34.3263i | 0.699286 | − | 1.25092i | ||||
\(754\) | −8.11202 | − | 7.30410i | −0.295422 | − | 0.266000i | ||||
\(755\) | 1.79192 | + | 7.44313i | 0.0652147 | + | 0.270883i | ||||
\(756\) | −16.0845 | − | 51.0281i | −0.584986 | − | 1.85587i | ||||
\(757\) | 8.42819i | 0.306328i | 0.988201 | + | 0.153164i | \(0.0489462\pi\) | ||||
−0.988201 | + | 0.153164i | \(0.951054\pi\) | |||||||
\(758\) | −13.9805 | + | 2.97165i | −0.507795 | + | 0.107935i | ||||
\(759\) | 0.220654 | − | 1.11378i | 0.00800925 | − | 0.0404276i | ||||
\(760\) | 54.6506 | − | 41.9899i | 1.98239 | − | 1.52313i | ||||
\(761\) | 2.37115 | − | 22.5600i | 0.0859543 | − | 0.817801i | −0.863596 | − | 0.504185i | \(-0.831793\pi\) |
0.949550 | − | 0.313616i | \(-0.101540\pi\) | |||||||
\(762\) | 45.6128 | − | 15.5226i | 1.65238 | − | 0.562324i | ||||
\(763\) | 1.31383 | − | 0.856900i | 0.0475637 | − | 0.0310219i | ||||
\(764\) | −10.2870 | + | 14.1589i | −0.372172 | + | 0.512250i | ||||
\(765\) | 10.7664 | − | 5.51521i | 0.389259 | − | 0.199403i | ||||
\(766\) | −75.5427 | + | 7.93986i | −2.72947 | + | 0.286879i | ||||
\(767\) | 21.3246 | + | 23.6834i | 0.769987 | + | 0.855157i | ||||
\(768\) | −52.1336 | + | 11.8388i | −1.88121 | + | 0.427195i | ||||
\(769\) | −24.0656 | − | 7.81938i | −0.867827 | − | 0.281974i | −0.158933 | − | 0.987289i | \(-0.550805\pi\) |
−0.708894 | + | 0.705315i | \(0.750805\pi\) | |||||||
\(770\) | 5.30229 | + | 0.125013i | 0.191081 | + | 0.00450515i | ||||
\(771\) | −0.365394 | − | 26.3638i | −0.0131594 | − | 0.949468i | ||||
\(772\) | −64.9564 | − | 58.4870i | −2.33783 | − | 2.10499i | ||||
\(773\) | −9.42080 | − | 21.1595i | −0.338843 | − | 0.761053i | −0.999942 | − | 0.0107548i | \(-0.996577\pi\) |
0.661100 | − | 0.750298i | \(-0.270090\pi\) | |||||||
\(774\) | −18.5751 | − | 38.7899i | −0.667669 | − | 1.39428i | ||||
\(775\) | −3.66688 | − | 4.51651i | −0.131718 | − | 0.162238i | ||||
\(776\) | 69.3956 | 2.49116 | ||||||||
\(777\) | 9.37640 | − | 19.1457i | 0.336376 | − | 0.686846i | ||||
\(778\) | 33.4872 | − | 10.8807i | 1.20058 | − | 0.390091i | ||||
\(779\) | −48.9085 | − | 44.0374i | −1.75233 | − | 1.57780i | ||||
\(780\) | −30.2798 | − | 38.2992i | −1.08419 | − | 1.37133i | ||||
\(781\) | 1.36372 | + | 1.51457i | 0.0487978 | + | 0.0541954i | ||||
\(782\) | −6.72804 | + | 3.88444i | −0.240594 | + | 0.138907i | ||||
\(783\) | 6.76244 | − | 2.51253i | 0.241670 | − | 0.0897905i | ||||
\(784\) | −20.3366 | + | 11.8487i | −0.726309 | + | 0.423166i | ||||
\(785\) | −4.23582 | − | 17.5944i | −0.151183 | − | 0.627970i | ||||
\(786\) | 44.6624 | + | 19.1478i | 1.59306 | + | 0.682980i | ||||
\(787\) | −0.658289 | − | 6.26320i | −0.0234655 | − | 0.223259i | −0.999970 | − | 0.00776166i | \(-0.997529\pi\) |
0.976504 | − | 0.215497i | \(-0.0691373\pi\) | |||||||
\(788\) | 0.952849 | + | 9.06576i | 0.0339439 | + | 0.322954i | ||||
\(789\) | −16.5340 | − | 7.08852i | −0.588626 | − | 0.252358i | ||||
\(790\) | −20.5116 | − | 1.60123i | −0.729770 | − | 0.0569692i | ||||
\(791\) | −10.6555 | − | 5.40279i | −0.378866 | − | 0.192101i | ||||
\(792\) | 3.10354 | + | 4.03176i | 0.110279 | + | 0.143262i | ||||
\(793\) | 31.5018 | − | 18.1876i | 1.11866 | − | 0.645859i | ||||
\(794\) | 20.7474 | + | 23.0424i | 0.736299 | + | 0.817743i | ||||
\(795\) | −1.84438 | − | 45.3226i | −0.0654134 | − | 1.60743i | ||||
\(796\) | −19.4487 | − | 17.5117i | −0.689341 | − | 0.620685i | ||||
\(797\) | 13.4348 | − | 4.36522i | 0.475884 | − | 0.154624i | −0.0612474 | − | 0.998123i | \(-0.519508\pi\) |
0.537132 | + | 0.843498i | \(0.319508\pi\) | |||||||
\(798\) | −74.4876 | + | 5.08740i | −2.63683 | + | 0.180092i | ||||
\(799\) | −14.2978 | −0.505821 | ||||||||
\(800\) | −4.29056 | − | 2.77860i | −0.151694 | − | 0.0982385i | ||||
\(801\) | −3.46471 | + | 1.65913i | −0.122420 | + | 0.0586224i | ||||
\(802\) | −15.0795 | − | 33.8690i | −0.532474 | − | 1.19596i | ||||
\(803\) | 3.40567 | + | 3.06648i | 0.120183 | + | 0.108214i | ||||
\(804\) | 0.532991 | + | 38.4561i | 0.0187971 | + | 1.35624i | ||||
\(805\) | −4.49581 | + | 9.48925i | −0.158456 | + | 0.334452i | ||||
\(806\) | 8.70037 | + | 2.82692i | 0.306458 | + | 0.0995741i | ||||
\(807\) | 18.1199 | − | 4.11477i | 0.637851 | − | 0.144847i | ||||
\(808\) | 39.9368 | + | 44.3543i | 1.40497 | + | 1.56038i | ||||
\(809\) | 27.1159 | − | 2.84999i | 0.953343 | − | 0.100200i | 0.384932 | − | 0.922945i | \(-0.374225\pi\) |
0.568411 | + | 0.822745i | \(0.307558\pi\) | |||||||
\(810\) | 47.9971 | − | 9.07999i | 1.68645 | − | 0.319038i | ||||
\(811\) | 4.86886 | − | 6.70142i | 0.170969 | − | 0.235319i | −0.714931 | − | 0.699195i | \(-0.753542\pi\) |
0.885900 | + | 0.463877i | \(0.153542\pi\) | |||||||
\(812\) | −7.80951 | − | 11.9738i | −0.274060 | − | 0.420197i | ||||
\(813\) | 41.3988 | − | 14.0885i | 1.45192 | − | 0.494105i | ||||
\(814\) | −0.435942 | + | 4.14771i | −0.0152798 | + | 0.145377i | ||||
\(815\) | −0.178610 | − | 0.503367i | −0.00625645 | − | 0.0176322i | ||||
\(816\) | 2.04091 | − | 10.3017i | 0.0714460 | − | 0.360632i | ||||
\(817\) | −38.7768 | + | 8.24226i | −1.35663 | + | 0.288360i | ||||
\(818\) | − | 11.1087i | − | 0.388407i | ||||||
\(819\) | 2.10718 | + | 25.6235i | 0.0736307 | + | 0.895358i | ||||
\(820\) | 32.6029 | − | 78.8516i | 1.13854 | − | 2.75362i | ||||
\(821\) | −14.8415 | − | 13.3633i | −0.517970 | − | 0.466383i | 0.368197 | − | 0.929748i | \(-0.379975\pi\) |
−0.886167 | + | 0.463365i | \(0.846642\pi\) | |||||||
\(822\) | 17.3588 | − | 31.0523i | 0.605458 | − | 1.08307i | ||||
\(823\) | 20.2711 | + | 45.5297i | 0.706606 | + | 1.58706i | 0.805931 | + | 0.592009i | \(0.201665\pi\) |
−0.0993249 | + | 0.995055i | \(0.531668\pi\) | |||||||
\(824\) | 12.8153 | + | 22.1967i | 0.446441 | + | 0.773258i | ||||
\(825\) | −0.452529 | + | 3.16641i | −0.0157550 | + | 0.110240i | ||||
\(826\) | 28.7962 | + | 56.2410i | 1.00195 | + | 1.95688i | ||||
\(827\) | −29.4824 | − | 21.4202i | −1.02520 | − | 0.744854i | −0.0578601 | − | 0.998325i | \(-0.518428\pi\) |
−0.967343 | + | 0.253471i | \(0.918428\pi\) | |||||||
\(828\) | −20.1424 | + | 4.86853i | −0.699997 | + | 0.169193i | ||||
\(829\) | 3.42796 | − | 16.1273i | 0.119058 | − | 0.560124i | −0.877668 | − | 0.479269i | \(-0.840902\pi\) |
0.996726 | − | 0.0808545i | \(-0.0257649\pi\) | |||||||
\(830\) | 21.9760 | + | 61.9336i | 0.762797 | + | 2.14975i | ||||
\(831\) | 3.61089 | + | 0.328994i | 0.125260 | + | 0.0114127i | ||||
\(832\) | 29.8205 | 1.03384 | ||||||||
\(833\) | 1.36901 | + | 12.5485i | 0.0474334 | + | 0.434780i | ||||
\(834\) | 82.4018 | − | 28.0423i | 2.85334 | − | 0.971026i | ||||
\(835\) | −30.8390 | + | 14.7334i | −1.06723 | + | 0.509871i | ||||
\(836\) | 8.81388 | − | 3.92419i | 0.304834 | − | 0.135721i | ||||
\(837\) | −4.32092 | + | 4.22873i | −0.149353 | + | 0.146166i | ||||
\(838\) | 48.3716 | + | 21.5364i | 1.67097 | + | 0.743963i | ||||
\(839\) | 33.8926 | + | 24.6244i | 1.17010 | + | 0.850130i | 0.991021 | − | 0.133704i | \(-0.0426870\pi\) |
0.179083 | + | 0.983834i | \(0.442687\pi\) | |||||||
\(840\) | −18.7197 | − | 43.1689i | −0.645892 | − | 1.48947i | ||||
\(841\) | −21.9021 | + | 15.9128i | −0.755244 | + | 0.548717i | ||||
\(842\) | −16.1108 | + | 3.42446i | −0.555215 | + | 0.118015i | ||||
\(843\) | 10.7413 | − | 9.94444i | 0.369948 | − | 0.342505i | ||||
\(844\) | 53.5992 | + | 59.5280i | 1.84496 | + | 2.04904i | ||||
\(845\) | −2.41742 | − | 5.05997i | −0.0831616 | − | 0.174068i | ||||
\(846\) | −55.3841 | − | 16.3129i | −1.90414 | − | 0.560850i | ||||
\(847\) | −27.7776 | − | 7.38425i | −0.954450 | − | 0.253726i | ||||
\(848\) | −31.8590 | − | 23.1469i | −1.09404 | − | 0.794867i | ||||
\(849\) | 38.0140 | − | 8.63243i | 1.30464 | − | 0.296264i | ||||
\(850\) | 18.3396 | − | 11.9429i | 0.629044 | − | 0.409639i | ||||
\(851\) | −7.15066 | − | 4.12844i | −0.245122 | − | 0.141521i | ||||
\(852\) | 14.6566 | − | 34.1866i | 0.502127 | − | 1.17121i | ||||
\(853\) | 14.1235 | + | 43.4677i | 0.483580 | + | 1.48831i | 0.834028 | + | 0.551723i | \(0.186029\pi\) |
−0.350448 | + | 0.936582i | \(0.613971\pi\) | |||||||
\(854\) | 69.6238 | − | 18.8030i | 2.38248 | − | 0.643426i | ||||
\(855\) | 2.25888 | − | 44.9698i | 0.0772521 | − | 1.53794i | ||||
\(856\) | −91.6283 | + | 19.4762i | −3.13179 | + | 0.665683i | ||||
\(857\) | 0.154621 | + | 0.0892704i | 0.00528175 | + | 0.00304942i | 0.502639 | − | 0.864497i | \(-0.332363\pi\) |
−0.497357 | + | 0.867546i | \(0.665696\pi\) | |||||||
\(858\) | −2.10925 | − | 4.56607i | −0.0720085 | − | 0.155883i | ||||
\(859\) | 2.39138 | − | 5.37113i | 0.0815928 | − | 0.183260i | −0.868142 | − | 0.496316i | \(-0.834686\pi\) |
0.949735 | + | 0.313055i | \(0.101353\pi\) | |||||||
\(860\) | −26.8826 | − | 43.8062i | −0.916691 | − | 1.49378i | ||||
\(861\) | −37.2912 | + | 25.0654i | −1.27088 | + | 0.854227i | ||||
\(862\) | 37.5734 | + | 51.7154i | 1.27976 | + | 1.76143i | ||||
\(863\) | 5.71990 | + | 2.54666i | 0.194707 | + | 0.0866894i | 0.501774 | − | 0.864999i | \(-0.332681\pi\) |
−0.307067 | + | 0.951688i | \(0.599347\pi\) | |||||||
\(864\) | −2.46261 | + | 4.70696i | −0.0837796 | + | 0.160134i | ||||
\(865\) | −15.6386 | + | 12.0156i | −0.531727 | + | 0.408544i | ||||
\(866\) | 71.9044 | + | 32.0139i | 2.44341 | + | 1.08788i | ||||
\(867\) | 19.4569 | + | 13.7283i | 0.660790 | + | 0.466239i | ||||
\(868\) | 10.0605 | + | 6.50518i | 0.341476 | + | 0.220800i | ||||
\(869\) | −1.33151 | − | 0.432633i | −0.0451683 | − | 0.0146761i | ||||
\(870\) | 11.6977 | − | 5.78906i | 0.396588 | − | 0.196268i | ||||
\(871\) | 3.84246 | − | 18.0773i | 0.130197 | − | 0.612528i | ||||
\(872\) | 2.66289 | + | 0.566014i | 0.0901767 | + | 0.0191676i | ||||
\(873\) | 29.3915 | − | 34.5204i | 0.994752 | − | 1.16834i | ||||
\(874\) | 28.9172i | 0.978140i | ||||||||
\(875\) | 11.2140 | − | 27.3724i | 0.379102 | − | 0.925355i | ||||
\(876\) | 24.7411 | − | 79.8962i | 0.835924 | − | 2.69944i | ||||
\(877\) | 6.98541 | + | 0.734196i | 0.235880 | + | 0.0247920i | 0.221731 | − | 0.975108i | \(-0.428829\pi\) |
0.0141494 | + | 0.999900i | \(0.495496\pi\) | |||||||
\(878\) | 4.86225 | − | 22.8751i | 0.164093 | − | 0.771997i | ||||
\(879\) | 3.72936 | + | 2.08478i | 0.125788 | + | 0.0703177i | ||||
\(880\) | 1.91275 | + | 2.01307i | 0.0644789 | + | 0.0678604i | ||||
\(881\) | 16.9483 | − | 52.1616i | 0.571004 | − | 1.75737i | −0.0783957 | − | 0.996922i | \(-0.524980\pi\) |
0.649400 | − | 0.760447i | \(-0.275020\pi\) | |||||||
\(882\) | −9.01406 | + | 50.1699i | −0.303519 | + | 1.68931i | ||||
\(883\) | −33.2697 | − | 10.8100i | −1.11961 | − | 0.363785i | −0.309994 | − | 0.950739i | \(-0.600327\pi\) |
−0.809620 | + | 0.586954i | \(0.800327\pi\) | |||||||
\(884\) | −9.24605 | + | 20.7670i | −0.310978 | + | 0.698469i | ||||
\(885\) | −35.7314 | + | 13.2390i | −1.20110 | + | 0.445023i | ||||
\(886\) | 7.32198 | − | 3.25996i | 0.245987 | − | 0.109520i | ||||
\(887\) | 11.8285 | − | 26.5672i | 0.397162 | − | 0.892040i | −0.598684 | − | 0.800985i | \(-0.704309\pi\) |
0.995846 | − | 0.0910548i | \(-0.0290238\pi\) | |||||||
\(888\) | 35.0269 | − | 11.9201i | 1.17543 | − | 0.400012i | ||||
\(889\) | −29.9573 | − | 4.68417i | −1.00474 | − | 0.157102i | ||||
\(890\) | −5.92355 | + | 3.63512i | −0.198558 | + | 0.121849i | ||||
\(891\) | 3.32003 | + | 0.163758i | 0.111225 | + | 0.00548611i | ||||
\(892\) | −14.9296 | − | 16.5810i | −0.499880 | − | 0.555173i | ||||
\(893\) | −26.6096 | + | 46.0892i | −0.890456 | + | 1.54232i | ||||
\(894\) | 53.3236 | + | 4.85841i | 1.78341 | + | 0.162489i | ||||
\(895\) | −6.96479 | − | 11.3494i | −0.232807 | − | 0.379367i | ||||
\(896\) | 51.9102 | + | 13.7995i | 1.73420 | + | 0.461010i | ||||
\(897\) | 9.95685 | − | 0.137999i | 0.332450 | − | 0.00460766i | ||||
\(898\) | 30.9008 | + | 3.24781i | 1.03117 | + | 0.108381i | ||||
\(899\) | −0.807695 | + | 1.39897i | −0.0269382 | + | 0.0466582i | ||||
\(900\) | 55.9260 | − | 16.7368i | 1.86420 | − | 0.557892i | ||||
\(901\) | −18.2904 | + | 10.5600i | −0.609341 | + | 0.351803i | ||||
\(902\) | 5.16675 | − | 7.11142i | 0.172034 | − | 0.236784i | ||||
\(903\) | −0.988403 | + | 27.0474i | −0.0328920 | + | 0.900081i | ||||
\(904\) | −6.40743 | − | 19.7200i | −0.213108 | − | 0.655878i | ||||
\(905\) | −16.7336 | + | 7.99453i | −0.556244 | + | 0.265747i | ||||
\(906\) | 13.0674 | − | 6.03634i | 0.434135 | − | 0.200544i | ||||
\(907\) | −33.2182 | − | 19.1785i | −1.10299 | − | 0.636813i | −0.165987 | − | 0.986128i | \(-0.553081\pi\) |
−0.937005 | + | 0.349315i | \(0.886414\pi\) | |||||||
\(908\) | −7.29426 | − | 34.3168i | −0.242069 | − | 1.13884i | ||||
\(909\) | 38.9784 | − | 1.08067i | 1.29283 | − | 0.0358435i | ||||
\(910\) | 8.59582 | + | 45.7134i | 0.284949 | + | 1.51538i | ||||
\(911\) | 14.9516 | − | 20.5791i | 0.495369 | − | 0.681816i | −0.485998 | − | 0.873960i | \(-0.661544\pi\) |
0.981367 | + | 0.192143i | \(0.0615439\pi\) | |||||||
\(912\) | −29.4094 | − | 25.7513i | −0.973841 | − | 0.852712i | ||||
\(913\) | 0.467445 | + | 4.44744i | 0.0154702 | + | 0.147189i | ||||
\(914\) | 26.3359 | + | 59.1514i | 0.871114 | + | 1.95655i | ||||
\(915\) | 6.30125 | + | 43.0340i | 0.208313 | + | 1.42266i | ||||
\(916\) | 51.4089 | + | 70.7582i | 1.69860 | + | 2.33792i | ||||
\(917\) | −19.2919 | − | 23.7276i | −0.637076 | − | 0.783556i | ||||
\(918\) | −14.1219 | − | 17.8288i | −0.466092 | − | 0.588438i | ||||
\(919\) | 0.591285 | − | 0.125681i | 0.0195047 | − | 0.00414585i | −0.198149 | − | 0.980172i | \(-0.563493\pi\) |
0.217654 | + | 0.976026i | \(0.430160\pi\) | |||||||
\(920\) | −17.1751 | + | 6.09425i | −0.566245 | + | 0.200921i | ||||
\(921\) | −23.9125 | + | 42.7760i | −0.787945 | + | 1.40952i | ||||
\(922\) | 9.33382 | − | 10.3663i | 0.307393 | − | 0.341394i | ||||
\(923\) | −10.5060 | + | 14.4603i | −0.345810 | + | 0.475966i | ||||
\(924\) | −1.13330 | − | 6.48872i | −0.0372828 | − | 0.213463i | ||||
\(925\) | 20.7384 | + | 10.5337i | 0.681874 | + | 0.346345i | ||||
\(926\) | −44.7593 | + | 25.8418i | −1.47088 | + | 0.849214i | ||||
\(927\) | 16.4693 | + | 3.02622i | 0.540923 | + | 0.0993941i | ||||
\(928\) | −0.295105 | + | 1.38836i | −0.00968728 | + | 0.0455751i | ||||
\(929\) | −3.78412 | + | 4.20269i | −0.124153 | + | 0.137886i | −0.802016 | − | 0.597302i | \(-0.796239\pi\) |
0.677863 | + | 0.735188i | \(0.262906\pi\) | |||||||
\(930\) | −6.98251 | + | 8.41954i | −0.228965 | + | 0.276088i | ||||
\(931\) | 42.9981 | + | 18.9410i | 1.40921 | + | 0.620765i | ||||
\(932\) | 92.8608 | 3.04176 | ||||||||
\(933\) | 5.37364 | − | 58.9786i | 0.175925 | − | 1.93087i | ||||
\(934\) | 12.6828 | − | 1.33301i | 0.414993 | − | 0.0436175i | ||||
\(935\) | 1.40354 | − | 0.498020i | 0.0459006 | − | 0.0162870i | ||||
\(936\) | −28.9272 | + | 33.9751i | −0.945516 | + | 1.11051i | ||||
\(937\) | 30.0098 | − | 21.8034i | 0.980377 | − | 0.712286i | 0.0225844 | − | 0.999745i | \(-0.492811\pi\) |
0.957793 | + | 0.287459i | \(0.0928106\pi\) | |||||||
\(938\) | 16.5703 | − | 32.6804i | 0.541040 | − | 1.06705i | ||||
\(939\) | −21.6452 | + | 16.1891i | −0.706363 | + | 0.528313i | ||||
\(940\) | −67.8510 | − | 12.5310i | −2.21305 | − | 0.408716i | ||||
\(941\) | 4.23705 | + | 40.3128i | 0.138124 | + | 1.31416i | 0.815600 | + | 0.578616i | \(0.196407\pi\) |
−0.677477 | + | 0.735544i | \(0.736927\pi\) | |||||||
\(942\) | −30.8892 | + | 14.2689i | −1.00643 | + | 0.464907i | ||||
\(943\) | 8.70142 | + | 15.0713i | 0.283357 | + | 0.490789i | ||||
\(944\) | −10.2227 | + | 31.4622i | −0.332721 | + | 1.02401i | ||||
\(945\) | −29.4026 | − | 8.97157i | −0.956466 | − | 0.291845i | ||||
\(946\) | −1.63621 | − | 5.03572i | −0.0531976 | − | 0.163726i | ||||
\(947\) | 1.71687 | − | 1.90678i | 0.0557909 | − | 0.0619620i | −0.714603 | − | 0.699530i | \(-0.753393\pi\) |
0.770394 | + | 0.637568i | \(0.220059\pi\) | |||||||
\(948\) | 3.02278 | + | 25.3722i | 0.0981755 | + | 0.824052i | ||||
\(949\) | −20.0957 | + | 34.8068i | −0.652335 | + | 1.12988i | ||||
\(950\) | −4.36642 | − | 81.3449i | −0.141665 | − | 2.63918i | ||||
\(951\) | 3.45930 | − | 11.1711i | 0.112175 | − | 0.362247i | ||||
\(952\) | −13.7536 | + | 17.0530i | −0.445757 | + | 0.552691i | ||||
\(953\) | −11.2314 | − | 34.5667i | −0.363821 | − | 1.11973i | −0.950716 | − | 0.310063i | \(-0.899650\pi\) |
0.586895 | − | 0.809663i | \(-0.300350\pi\) | |||||||
\(954\) | −82.8980 | + | 20.0369i | −2.68392 | + | 0.648719i | ||||
\(955\) | 3.36263 | + | 9.47671i | 0.108812 | + | 0.306659i | ||||
\(956\) | 43.1530 | − | 38.8552i | 1.39567 | − | 1.25667i | ||||
\(957\) | 0.866104 | − | 0.196679i | 0.0279972 | − | 0.00635774i | ||||
\(958\) | −20.7516 | + | 63.8668i | −0.670453 | + | 2.06344i | ||||
\(959\) | −18.7518 | + | 12.2302i | −0.605527 | + | 0.394935i | ||||
\(960\) | −13.1660 | + | 33.1358i | −0.424932 | + | 1.06945i | ||||
\(961\) | −3.09887 | + | 29.4838i | −0.0999636 | + | 0.951090i | ||||
\(962\) | −36.3759 | + | 3.82326i | −1.17281 | + | 0.123267i | ||||
\(963\) | −29.1195 | + | 53.8288i | −0.938364 | + | 1.73461i | ||||
\(964\) | −8.72479 | − | 0.917012i | −0.281007 | − | 0.0295350i | ||||
\(965\) | −48.8260 | + | 11.7548i | −1.57176 | + | 0.378400i | ||||
\(966\) | 19.1484 | + | 4.80720i | 0.616089 | + | 0.154669i | ||||
\(967\) | 53.0033 | + | 17.2218i | 1.70447 | + | 0.553817i | 0.989398 | − | 0.145231i | \(-0.0463926\pi\) |
0.715075 | + | 0.699048i | \(0.246393\pi\) | |||||||
\(968\) | −24.9423 | − | 43.2013i | −0.801675 | − | 1.38854i | ||||
\(969\) | −19.0321 | + | 8.79166i | −0.611399 | + | 0.282429i | ||||
\(970\) | 46.4168 | − | 67.6285i | 1.49035 | − | 2.17142i | ||||
\(971\) | −34.5995 | + | 38.4266i | −1.11035 | + | 1.23317i | −0.140341 | + | 0.990103i | \(0.544820\pi\) |
−0.970010 | + | 0.243066i | \(0.921847\pi\) | |||||||
\(972\) | −22.6970 | − | 56.2610i | −0.728006 | − | 1.80457i | ||||
\(973\) | −54.1193 | − | 8.46219i | −1.73499 | − | 0.271285i | ||||
\(974\) | − | 79.0086i | − | 2.53160i | ||||||
\(975\) | −27.9881 | + | 1.89165i | −0.896335 | + | 0.0605814i | ||||
\(976\) | 32.7000 | + | 18.8794i | 1.04670 | + | 0.604314i | ||||
\(977\) | 1.24238 | − | 0.553143i | 0.0397472 | − | 0.0176966i | −0.386767 | − | 0.922178i | \(-0.626408\pi\) |
0.426514 | + | 0.904481i | \(0.359741\pi\) | |||||||
\(978\) | −0.862649 | + | 0.514121i | −0.0275845 | + | 0.0164398i | ||||
\(979\) | −0.449790 | + | 0.146146i | −0.0143754 | + | 0.00467084i | ||||
\(980\) | −4.50116 | + | 60.7494i | −0.143784 | + | 1.94057i | ||||
\(981\) | 1.40939 | − | 1.08491i | 0.0449982 | − | 0.0346384i | ||||
\(982\) | 5.56215 | − | 3.21131i | 0.177495 | − | 0.102477i | ||||
\(983\) | 27.9449 | − | 25.1617i | 0.891304 | − | 0.802534i | −0.0898110 | − | 0.995959i | \(-0.528626\pi\) |
0.981115 | + | 0.193425i | \(0.0619596\pi\) | |||||||
\(984\) | −76.4966 | − | 15.1550i | −2.43862 | − | 0.483123i | ||||
\(985\) | 4.60442 | + | 2.49622i | 0.146709 | + | 0.0795362i | ||||
\(986\) | −4.91638 | − | 3.57196i | −0.156569 | − | 0.113754i | ||||
\(987\) | 26.0957 | + | 25.2822i | 0.830636 | + | 0.804741i | ||||
\(988\) | 49.7348 | + | 68.4541i | 1.58227 | + | 2.17781i | ||||
\(989\) | 10.4254 | + | 1.09575i | 0.331507 | + | 0.0348428i | ||||
\(990\) | 6.00496 | − | 0.327781i | 0.190850 | − | 0.0104176i | ||||
\(991\) | 2.16951 | + | 20.6415i | 0.0689166 | + | 0.655698i | 0.973388 | + | 0.229163i | \(0.0735990\pi\) |
−0.904471 | + | 0.426534i | \(0.859734\pi\) | |||||||
\(992\) | −0.247316 | − | 1.16353i | −0.00785228 | − | 0.0369421i | ||||
\(993\) | 8.64829 | − | 27.9278i | 0.274445 | − | 0.886263i | ||||
\(994\) | −27.4958 | + | 22.3557i | −0.872114 | + | 0.709079i | ||||
\(995\) | −14.6191 | + | 3.51952i | −0.463455 | + | 0.111576i | ||||
\(996\) | 70.1095 | − | 41.7838i | 2.22151 | − | 1.32397i | ||||
\(997\) | −22.8386 | − | 4.85449i | −0.723305 | − | 0.153743i | −0.168474 | − | 0.985706i | \(-0.553884\pi\) |
−0.554831 | + | 0.831963i | \(0.687217\pi\) | |||||||
\(998\) | 10.0680 | − | 4.48255i | 0.318696 | − | 0.141892i | ||||
\(999\) | 8.90558 | − | 22.4725i | 0.281760 | − | 0.710998i |
(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 | 525.2.bp.a.59.6 | ✓ | 608 | |
3.2 | odd | 2 | inner | 525.2.bp.a.59.71 | yes | 608 | |
7.5 | odd | 6 | inner | 525.2.bp.a.509.71 | yes | 608 | |
21.5 | even | 6 | inner | 525.2.bp.a.509.6 | yes | 608 | |
25.14 | even | 10 | inner | 525.2.bp.a.164.6 | yes | 608 | |
75.14 | odd | 10 | inner | 525.2.bp.a.164.71 | yes | 608 | |
175.89 | odd | 30 | inner | 525.2.bp.a.89.71 | yes | 608 | |
525.89 | even | 30 | inner | 525.2.bp.a.89.6 | yes | 608 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bp.a.59.6 | ✓ | 608 | 1.1 | even | 1 | trivial | |
525.2.bp.a.59.71 | yes | 608 | 3.2 | odd | 2 | inner | |
525.2.bp.a.89.6 | yes | 608 | 525.89 | even | 30 | inner | |
525.2.bp.a.89.71 | yes | 608 | 175.89 | odd | 30 | inner | |
525.2.bp.a.164.6 | yes | 608 | 25.14 | even | 10 | inner | |
525.2.bp.a.164.71 | yes | 608 | 75.14 | odd | 10 | inner | |
525.2.bp.a.509.6 | yes | 608 | 21.5 | even | 6 | inner | |
525.2.bp.a.509.71 | yes | 608 | 7.5 | odd | 6 | inner |