Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(49,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([12, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.n (of order \(15\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 49.5 | ||
Character | \(\chi\) | \(=\) | 418.49 |
Dual form | 418.2.n.e.273.5 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.978148 | − | 0.207912i | −0.691655 | − | 0.147016i | ||||
\(3\) | −0.604189 | + | 0.269002i | −0.348829 | + | 0.155309i | −0.573669 | − | 0.819087i | \(-0.694481\pi\) |
0.224841 | + | 0.974396i | \(0.427814\pi\) | |||||||
\(4\) | 0.913545 | + | 0.406737i | 0.456773 | + | 0.203368i | ||||
\(5\) | −1.30272 | − | 1.44681i | −0.582593 | − | 0.647035i | 0.377733 | − | 0.925914i | \(-0.376704\pi\) |
−0.960326 | + | 0.278880i | \(0.910037\pi\) | |||||||
\(6\) | 0.646915 | − | 0.137506i | 0.264102 | − | 0.0561366i | ||||
\(7\) | −0.622011 | + | 0.451917i | −0.235098 | + | 0.170809i | −0.699097 | − | 0.715027i | \(-0.746414\pi\) |
0.463999 | + | 0.885836i | \(0.346414\pi\) | |||||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | −1.71471 | + | 1.90438i | −0.571570 | + | 0.634793i | ||||
\(10\) | 0.973440 | + | 1.68605i | 0.307829 | + | 0.533175i | ||||
\(11\) | 3.22884 | − | 0.758017i | 0.973532 | − | 0.228551i | ||||
\(12\) | −0.661367 | −0.190920 | ||||||||
\(13\) | −0.255977 | + | 0.284291i | −0.0709952 | + | 0.0788481i | −0.777596 | − | 0.628764i | \(-0.783561\pi\) |
0.706601 | + | 0.707612i | \(0.250228\pi\) | |||||||
\(14\) | 0.702377 | − | 0.312719i | 0.187718 | − | 0.0835775i | ||||
\(15\) | 1.17628 | + | 0.523715i | 0.303715 | + | 0.135223i | ||||
\(16\) | 0.669131 | + | 0.743145i | 0.167283 | + | 0.185786i | ||||
\(17\) | 4.99791 | + | 5.55074i | 1.21217 | + | 1.34625i | 0.920991 | + | 0.389583i | \(0.127381\pi\) |
0.291179 | + | 0.956668i | \(0.405952\pi\) | |||||||
\(18\) | 2.07318 | − | 1.50625i | 0.488654 | − | 0.355028i | ||||
\(19\) | −4.09781 | + | 1.48592i | −0.940102 | + | 0.340893i | ||||
\(20\) | −0.601619 | − | 1.85159i | −0.134526 | − | 0.414029i | ||||
\(21\) | 0.254245 | − | 0.440366i | 0.0554809 | − | 0.0960957i | ||||
\(22\) | −3.31588 | + | 0.0701391i | −0.706949 | + | 0.0149537i | ||||
\(23\) | 1.89880 | + | 3.28881i | 0.395926 | + | 0.685765i | 0.993219 | − | 0.116259i | \(-0.0370902\pi\) |
−0.597292 | + | 0.802024i | \(0.703757\pi\) | |||||||
\(24\) | 0.646915 | + | 0.137506i | 0.132051 | + | 0.0280683i | ||||
\(25\) | 0.126444 | − | 1.20303i | 0.0252888 | − | 0.240606i | ||||
\(26\) | 0.309491 | − | 0.224858i | 0.0606961 | − | 0.0440983i | ||||
\(27\) | 1.13685 | − | 3.49886i | 0.218786 | − | 0.673355i | ||||
\(28\) | −0.752046 | + | 0.159852i | −0.142123 | + | 0.0302093i | ||||
\(29\) | 3.10896 | + | 1.38420i | 0.577319 | + | 0.257039i | 0.674558 | − | 0.738222i | \(-0.264334\pi\) |
−0.0972386 | + | 0.995261i | \(0.531001\pi\) | |||||||
\(30\) | −1.04169 | − | 0.756834i | −0.190186 | − | 0.138178i | ||||
\(31\) | 2.98978 | + | 9.20158i | 0.536980 | + | 1.65265i | 0.739333 | + | 0.673340i | \(0.235141\pi\) |
−0.202353 | + | 0.979313i | \(0.564859\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −1.74692 | + | 1.32655i | −0.304100 | + | 0.230923i | ||||
\(34\) | −3.73463 | − | 6.46857i | −0.640483 | − | 1.10935i | ||||
\(35\) | 1.46414 | + | 0.311213i | 0.247486 | + | 0.0526047i | ||||
\(36\) | −2.34105 | + | 1.04230i | −0.390174 | + | 0.173717i | ||||
\(37\) | −5.58544 | + | 4.05806i | −0.918240 | + | 0.667141i | −0.943085 | − | 0.332551i | \(-0.892091\pi\) |
0.0248451 | + | 0.999691i | \(0.492091\pi\) | |||||||
\(38\) | 4.31720 | − | 0.601466i | 0.700343 | − | 0.0975707i | ||||
\(39\) | 0.0781834 | − | 0.240624i | 0.0125194 | − | 0.0385306i | ||||
\(40\) | 0.203504 | + | 1.93621i | 0.0321769 | + | 0.306142i | ||||
\(41\) | 8.84509 | − | 3.93809i | 1.38137 | − | 0.615026i | 0.424470 | − | 0.905442i | \(-0.360460\pi\) |
0.956901 | + | 0.290416i | \(0.0937937\pi\) | |||||||
\(42\) | −0.340247 | + | 0.377882i | −0.0525012 | + | 0.0583085i | ||||
\(43\) | −3.27961 | + | 5.68045i | −0.500136 | + | 0.866261i | 0.499864 | + | 0.866104i | \(0.333383\pi\) |
−1.00000 | 0.000157156i | \(0.999950\pi\) | ||||||||
\(44\) | 3.25801 | + | 0.620804i | 0.491163 | + | 0.0935898i | ||||
\(45\) | 4.98906 | 0.743725 | ||||||||
\(46\) | −1.17352 | − | 3.61173i | −0.173026 | − | 0.532520i | ||||
\(47\) | −1.05947 | + | 10.0802i | −0.154539 | + | 1.47034i | 0.592503 | + | 0.805568i | \(0.298140\pi\) |
−0.747042 | + | 0.664776i | \(0.768527\pi\) | |||||||
\(48\) | −0.604189 | − | 0.269002i | −0.0872072 | − | 0.0388271i | ||||
\(49\) | −1.98045 | + | 6.09520i | −0.282922 | + | 0.870743i | ||||
\(50\) | −0.373805 | + | 1.15045i | −0.0528640 | + | 0.162699i | ||||
\(51\) | −4.51284 | − | 2.00925i | −0.631924 | − | 0.281351i | ||||
\(52\) | −0.349478 | + | 0.155598i | −0.0484639 | + | 0.0215775i | ||||
\(53\) | 0.935627 | − | 1.03912i | 0.128518 | − | 0.142734i | −0.675451 | − | 0.737405i | \(-0.736051\pi\) |
0.803969 | + | 0.594671i | \(0.202718\pi\) | |||||||
\(54\) | −1.83946 | + | 3.18603i | −0.250319 | + | 0.433564i | ||||
\(55\) | −5.30297 | − | 3.68405i | −0.715053 | − | 0.496757i | ||||
\(56\) | 0.768848 | 0.102742 | ||||||||
\(57\) | 2.07614 | − | 2.00010i | 0.274991 | − | 0.264919i | ||||
\(58\) | −2.75323 | − | 2.00034i | −0.361517 | − | 0.262657i | ||||
\(59\) | −0.950957 | − | 9.04775i | −0.123804 | − | 1.17792i | −0.863277 | − | 0.504731i | \(-0.831592\pi\) |
0.739473 | − | 0.673186i | \(-0.235075\pi\) | |||||||
\(60\) | 0.861574 | + | 0.956875i | 0.111229 | + | 0.123532i | ||||
\(61\) | 7.99986 | − | 1.70042i | 1.02428 | − | 0.217717i | 0.335003 | − | 0.942217i | \(-0.391263\pi\) |
0.689274 | + | 0.724500i | \(0.257929\pi\) | |||||||
\(62\) | −1.01133 | − | 9.62212i | −0.128438 | − | 1.22201i | ||||
\(63\) | 0.205947 | − | 1.95945i | 0.0259468 | − | 0.246868i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 0.744781 | 0.0923788 | ||||||||
\(66\) | 1.98455 | − | 0.934357i | 0.244281 | − | 0.115011i | ||||
\(67\) | −0.609188 | − | 1.05514i | −0.0744241 | − | 0.128906i | 0.826412 | − | 0.563067i | \(-0.190379\pi\) |
−0.900836 | + | 0.434160i | \(0.857045\pi\) | |||||||
\(68\) | 2.30813 | + | 7.10368i | 0.279902 | + | 0.861448i | ||||
\(69\) | −2.03193 | − | 1.47628i | −0.244616 | − | 0.177724i | ||||
\(70\) | −1.36744 | − | 0.608825i | −0.163441 | − | 0.0727685i | ||||
\(71\) | 5.17764 | + | 5.75035i | 0.614473 | + | 0.682441i | 0.967413 | − | 0.253205i | \(-0.0814846\pi\) |
−0.352940 | + | 0.935646i | \(0.614818\pi\) | |||||||
\(72\) | 2.50659 | − | 0.532793i | 0.295405 | − | 0.0627903i | ||||
\(73\) | −1.34255 | − | 12.7735i | −0.157134 | − | 1.49503i | −0.734538 | − | 0.678568i | \(-0.762601\pi\) |
0.577404 | − | 0.816459i | \(-0.304066\pi\) | |||||||
\(74\) | 6.30710 | − | 2.80810i | 0.733185 | − | 0.326435i | ||||
\(75\) | 0.247222 | + | 0.760872i | 0.0285468 | + | 0.0878580i | ||||
\(76\) | −4.34791 | − | 0.309274i | −0.498740 | − | 0.0354762i | ||||
\(77\) | −1.66581 | + | 1.93066i | −0.189837 | + | 0.220020i | ||||
\(78\) | −0.126503 | + | 0.219110i | −0.0143237 | + | 0.0248094i | ||||
\(79\) | 0.587203 | + | 0.124814i | 0.0660655 | + | 0.0140427i | 0.240826 | − | 0.970568i | \(-0.422582\pi\) |
−0.174760 | + | 0.984611i | \(0.555915\pi\) | |||||||
\(80\) | 0.203504 | − | 1.93621i | 0.0227525 | − | 0.216475i | ||||
\(81\) | −0.549262 | − | 5.22588i | −0.0610291 | − | 0.580653i | ||||
\(82\) | −9.47058 | + | 2.01303i | −1.04585 | + | 0.222302i | ||||
\(83\) | −3.05405 | + | 9.39941i | −0.335226 | + | 1.03172i | 0.631385 | + | 0.775470i | \(0.282487\pi\) |
−0.966611 | + | 0.256250i | \(0.917513\pi\) | |||||||
\(84\) | 0.411377 | − | 0.298883i | 0.0448850 | − | 0.0326108i | ||||
\(85\) | 1.52003 | − | 14.4621i | 0.164870 | − | 1.56863i | ||||
\(86\) | 4.38898 | − | 4.87445i | 0.473276 | − | 0.525626i | ||||
\(87\) | −2.25075 | −0.241306 | ||||||||
\(88\) | −3.05774 | − | 1.28462i | −0.325956 | − | 0.136941i | ||||
\(89\) | −8.89886 | − | 15.4133i | −0.943277 | − | 1.63380i | −0.759164 | − | 0.650899i | \(-0.774392\pi\) |
−0.184113 | − | 0.982905i | \(-0.558941\pi\) | |||||||
\(90\) | −4.88004 | − | 1.03728i | −0.514401 | − | 0.109339i | ||||
\(91\) | 0.0307443 | − | 0.292512i | 0.00322288 | − | 0.0306636i | ||||
\(92\) | 0.396957 | + | 3.77679i | 0.0413856 | + | 0.393758i | ||||
\(93\) | −4.28164 | − | 4.75524i | −0.443985 | − | 0.493095i | ||||
\(94\) | 3.13210 | − | 9.63962i | 0.323052 | − | 0.994251i | ||||
\(95\) | 7.48813 | + | 3.99303i | 0.768266 | + | 0.409677i | ||||
\(96\) | 0.535057 | + | 0.388742i | 0.0546090 | + | 0.0396758i | ||||
\(97\) | −14.6001 | − | 3.10335i | −1.48242 | − | 0.315097i | −0.605541 | − | 0.795814i | \(-0.707043\pi\) |
−0.876876 | + | 0.480717i | \(0.840376\pi\) | |||||||
\(98\) | 3.20444 | − | 5.55025i | 0.323697 | − | 0.560660i | ||||
\(99\) | −4.09297 | + | 7.44871i | −0.411359 | + | 0.748624i | ||||
\(100\) | 0.604830 | − | 1.04760i | 0.0604830 | − | 0.104760i | ||||
\(101\) | −4.53999 | + | 5.04217i | −0.451746 | + | 0.501714i | −0.925398 | − | 0.378998i | \(-0.876269\pi\) |
0.473652 | + | 0.880712i | \(0.342935\pi\) | |||||||
\(102\) | 3.99648 | + | 2.90361i | 0.395710 | + | 0.287500i | ||||
\(103\) | −14.5290 | + | 10.5559i | −1.43158 | + | 1.04010i | −0.441860 | + | 0.897084i | \(0.645681\pi\) |
−0.989720 | + | 0.143020i | \(0.954319\pi\) | |||||||
\(104\) | 0.374192 | − | 0.0795369i | 0.0366925 | − | 0.00779923i | ||||
\(105\) | −0.968337 | + | 0.205826i | −0.0945000 | + | 0.0200866i | ||||
\(106\) | −1.13123 | + | 0.821884i | −0.109874 | + | 0.0798285i | ||||
\(107\) | −9.98352 | − | 7.25345i | −0.965144 | − | 0.701218i | −0.0108040 | − | 0.999942i | \(-0.503439\pi\) |
−0.954340 | + | 0.298724i | \(0.903439\pi\) | |||||||
\(108\) | 2.46168 | − | 2.73397i | 0.236875 | − | 0.263076i | ||||
\(109\) | 5.67658 | − | 9.83212i | 0.543717 | − | 0.941746i | −0.454969 | − | 0.890507i | \(-0.650350\pi\) |
0.998686 | − | 0.0512389i | \(-0.0163170\pi\) | |||||||
\(110\) | 4.42114 | + | 4.70609i | 0.421539 | + | 0.448708i | ||||
\(111\) | 2.28303 | − | 3.95433i | 0.216696 | − | 0.375328i | ||||
\(112\) | −0.752046 | − | 0.159852i | −0.0710617 | − | 0.0151046i | ||||
\(113\) | 2.38384 | + | 1.73196i | 0.224253 | + | 0.162929i | 0.694239 | − | 0.719745i | \(-0.255741\pi\) |
−0.469986 | + | 0.882674i | \(0.655741\pi\) | |||||||
\(114\) | −2.44661 | + | 1.52474i | −0.229146 | + | 0.142805i | ||||
\(115\) | 2.28470 | − | 7.03160i | 0.213050 | − | 0.655700i | ||||
\(116\) | 2.27717 | + | 2.52906i | 0.211430 | + | 0.234817i | ||||
\(117\) | −0.102472 | − | 0.974953i | −0.00947351 | − | 0.0901345i | ||||
\(118\) | −0.950957 | + | 9.04775i | −0.0875427 | + | 0.832913i | ||||
\(119\) | −5.61723 | − | 1.19398i | −0.514930 | − | 0.109452i | ||||
\(120\) | −0.643801 | − | 1.11510i | −0.0587707 | − | 0.101794i | ||||
\(121\) | 9.85082 | − | 4.89503i | 0.895529 | − | 0.445003i | ||||
\(122\) | −8.17858 | −0.740454 | ||||||||
\(123\) | −4.28475 | + | 4.75870i | −0.386343 | + | 0.429077i | ||||
\(124\) | −1.01133 | + | 9.62212i | −0.0908197 | + | 0.864092i | ||||
\(125\) | −9.78058 | + | 7.10601i | −0.874802 | + | 0.635581i | ||||
\(126\) | −0.608839 | + | 1.87381i | −0.0542397 | + | 0.166933i | ||||
\(127\) | 14.1149 | − | 3.00021i | 1.25249 | − | 0.266225i | 0.466533 | − | 0.884504i | \(-0.345503\pi\) |
0.785959 | + | 0.618279i | \(0.212170\pi\) | |||||||
\(128\) | −0.104528 | − | 0.994522i | −0.00923910 | − | 0.0879041i | ||||
\(129\) | 0.453450 | − | 4.31429i | 0.0399241 | − | 0.379852i | ||||
\(130\) | −0.728506 | − | 0.154849i | −0.0638942 | − | 0.0135811i | ||||
\(131\) | 4.53434 | − | 7.85371i | 0.396167 | − | 0.686182i | −0.597082 | − | 0.802180i | \(-0.703673\pi\) |
0.993249 | + | 0.115998i | \(0.0370068\pi\) | |||||||
\(132\) | −2.13545 | + | 0.501328i | −0.185867 | + | 0.0436350i | ||||
\(133\) | 1.87737 | − | 2.77613i | 0.162789 | − | 0.240721i | ||||
\(134\) | 0.376499 | + | 1.15874i | 0.0325245 | + | 0.100100i | ||||
\(135\) | −6.54319 | + | 2.91321i | −0.563148 | + | 0.250730i | ||||
\(136\) | −0.780750 | − | 7.42834i | −0.0669487 | − | 0.636975i | ||||
\(137\) | 10.0442 | − | 2.13495i | 0.858130 | − | 0.182401i | 0.242223 | − | 0.970221i | \(-0.422123\pi\) |
0.615906 | + | 0.787819i | \(0.288790\pi\) | |||||||
\(138\) | 1.68059 | + | 1.86649i | 0.143061 | + | 0.158886i | ||||
\(139\) | 15.3521 | + | 6.83520i | 1.30215 | + | 0.579754i | 0.936392 | − | 0.350957i | \(-0.114144\pi\) |
0.365757 | + | 0.930711i | \(0.380810\pi\) | |||||||
\(140\) | 1.21098 | + | 0.879829i | 0.102347 | + | 0.0743591i | ||||
\(141\) | −2.07147 | − | 6.37533i | −0.174449 | − | 0.536900i | ||||
\(142\) | −3.86893 | − | 6.70118i | −0.324673 | − | 0.562351i | ||||
\(143\) | −0.611011 | + | 1.11197i | −0.0510953 | + | 0.0929872i | ||||
\(144\) | −2.56259 | −0.213549 | ||||||||
\(145\) | −2.04742 | − | 6.30130i | −0.170029 | − | 0.523295i | ||||
\(146\) | −1.34255 | + | 12.7735i | −0.111110 | + | 1.05714i | ||||
\(147\) | −0.443056 | − | 4.21540i | −0.0365427 | − | 0.347680i | ||||
\(148\) | −6.75311 | + | 1.43542i | −0.555102 | + | 0.117991i | ||||
\(149\) | 4.39861 | + | 4.88516i | 0.360349 | + | 0.400208i | 0.895872 | − | 0.444313i | \(-0.146552\pi\) |
−0.535523 | + | 0.844521i | \(0.679886\pi\) | |||||||
\(150\) | −0.0836258 | − | 0.795646i | −0.00682802 | − | 0.0649642i | ||||
\(151\) | 3.50154 | + | 2.54402i | 0.284952 | + | 0.207030i | 0.721074 | − | 0.692858i | \(-0.243649\pi\) |
−0.436123 | + | 0.899887i | \(0.643649\pi\) | |||||||
\(152\) | 4.18860 | + | 1.20650i | 0.339740 | + | 0.0978599i | ||||
\(153\) | −19.1407 | −1.54743 | ||||||||
\(154\) | 2.03082 | − | 1.54213i | 0.163648 | − | 0.124269i | ||||
\(155\) | 9.41815 | − | 16.3127i | 0.756484 | − | 1.31027i | ||||
\(156\) | 0.169295 | − | 0.188021i | 0.0135544 | − | 0.0150537i | ||||
\(157\) | −21.2336 | + | 9.45381i | −1.69463 | + | 0.754496i | −0.695266 | + | 0.718753i | \(0.744713\pi\) |
−0.999361 | + | 0.0357439i | \(0.988620\pi\) | |||||||
\(158\) | −0.548421 | − | 0.244173i | −0.0436300 | − | 0.0194253i | ||||
\(159\) | −0.285770 | + | 0.879510i | −0.0226631 | + | 0.0697497i | ||||
\(160\) | −0.601619 | + | 1.85159i | −0.0475622 | + | 0.146381i | ||||
\(161\) | −2.66734 | − | 1.18758i | −0.210216 | − | 0.0935942i | ||||
\(162\) | −0.549262 | + | 5.22588i | −0.0431541 | + | 0.410584i | ||||
\(163\) | 1.18958 | + | 3.66114i | 0.0931749 | + | 0.286763i | 0.986774 | − | 0.162104i | \(-0.0518279\pi\) |
−0.893599 | + | 0.448867i | \(0.851828\pi\) | |||||||
\(164\) | 9.68216 | 0.756049 | ||||||||
\(165\) | 4.19502 | + | 0.799349i | 0.326582 | + | 0.0622292i | ||||
\(166\) | 4.94156 | − | 8.55904i | 0.383540 | − | 0.664310i | ||||
\(167\) | −1.26419 | + | 1.40403i | −0.0978260 | + | 0.108647i | −0.790070 | − | 0.613017i | \(-0.789956\pi\) |
0.692244 | + | 0.721664i | \(0.256622\pi\) | |||||||
\(168\) | −0.464529 | + | 0.206822i | −0.0358392 | + | 0.0159566i | ||||
\(169\) | 1.34357 | + | 12.7832i | 0.103352 | + | 0.983326i | ||||
\(170\) | −4.49365 | + | 13.8300i | −0.344647 | + | 1.06071i | ||||
\(171\) | 4.19680 | − | 10.3517i | 0.320937 | − | 0.791614i | ||||
\(172\) | −5.30652 | + | 3.85541i | −0.404619 | + | 0.293973i | ||||
\(173\) | 4.71916 | − | 2.10111i | 0.358791 | − | 0.159744i | −0.219421 | − | 0.975630i | \(-0.570417\pi\) |
0.578213 | + | 0.815886i | \(0.303750\pi\) | |||||||
\(174\) | 2.20157 | + | 0.467957i | 0.166900 | + | 0.0354758i | ||||
\(175\) | 0.465022 | + | 0.805441i | 0.0351523 | + | 0.0608856i | ||||
\(176\) | 2.72383 | + | 1.89228i | 0.205317 | + | 0.142636i | ||||
\(177\) | 3.00842 | + | 5.21074i | 0.226127 | + | 0.391663i | ||||
\(178\) | 5.49980 | + | 16.9266i | 0.412227 | + | 1.26870i | ||||
\(179\) | 1.92699 | + | 1.40004i | 0.144030 | + | 0.104644i | 0.657467 | − | 0.753483i | \(-0.271628\pi\) |
−0.513437 | + | 0.858127i | \(0.671628\pi\) | |||||||
\(180\) | 4.55773 | + | 2.02923i | 0.339713 | + | 0.151250i | ||||
\(181\) | 14.7655 | − | 3.13850i | 1.09751 | − | 0.233283i | 0.376645 | − | 0.926358i | \(-0.377078\pi\) |
0.720866 | + | 0.693074i | \(0.243744\pi\) | |||||||
\(182\) | −0.0908892 | + | 0.279728i | −0.00673716 | + | 0.0207348i | ||||
\(183\) | −4.37601 | + | 3.17936i | −0.323484 | + | 0.235025i | ||||
\(184\) | 0.396957 | − | 3.77679i | 0.0292640 | − | 0.278429i | ||||
\(185\) | 13.1475 | + | 2.79459i | 0.966623 | + | 0.205462i | ||||
\(186\) | 3.19940 | + | 5.54153i | 0.234592 | + | 0.406324i | ||||
\(187\) | 20.3450 | + | 14.1339i | 1.48777 | + | 1.03358i | ||||
\(188\) | −5.06785 | + | 8.77777i | −0.369611 | + | 0.640185i | ||||
\(189\) | 0.874063 | + | 2.69009i | 0.0635787 | + | 0.195675i | ||||
\(190\) | −6.49430 | − | 5.46265i | −0.471146 | − | 0.396302i | ||||
\(191\) | 1.42444 | − | 1.03491i | 0.103069 | − | 0.0748838i | −0.535057 | − | 0.844816i | \(-0.679710\pi\) |
0.638126 | + | 0.769932i | \(0.279710\pi\) | |||||||
\(192\) | −0.442541 | − | 0.491492i | −0.0319376 | − | 0.0354703i | ||||
\(193\) | 3.16145 | + | 3.51115i | 0.227566 | + | 0.252738i | 0.846105 | − | 0.533017i | \(-0.178942\pi\) |
−0.618539 | + | 0.785754i | \(0.712275\pi\) | |||||||
\(194\) | 13.6358 | + | 6.07107i | 0.978996 | + | 0.435877i | ||||
\(195\) | −0.449989 | + | 0.200348i | −0.0322244 | + | 0.0143472i | ||||
\(196\) | −4.28837 | + | 4.76272i | −0.306312 | + | 0.340194i | ||||
\(197\) | 25.0078 | 1.78173 | 0.890865 | − | 0.454269i | \(-0.150100\pi\) | ||||
0.890865 | + | 0.454269i | \(0.150100\pi\) | |||||||
\(198\) | 5.55221 | − | 6.43496i | 0.394578 | − | 0.457313i | ||||
\(199\) | 9.68257 | + | 16.7707i | 0.686379 | + | 1.18884i | 0.973001 | + | 0.230800i | \(0.0741342\pi\) |
−0.286622 | + | 0.958044i | \(0.592532\pi\) | |||||||
\(200\) | −0.809420 | + | 0.898952i | −0.0572346 | + | 0.0635655i | ||||
\(201\) | 0.651900 | + | 0.473633i | 0.0459815 | + | 0.0334075i | ||||
\(202\) | 5.48910 | − | 3.98807i | 0.386212 | − | 0.280599i | ||||
\(203\) | −2.55935 | + | 0.544006i | −0.179631 | + | 0.0381818i | ||||
\(204\) | −3.30545 | − | 3.67108i | −0.231428 | − | 0.257027i | ||||
\(205\) | −17.2203 | − | 7.66698i | −1.20272 | − | 0.535485i | ||||
\(206\) | 16.4062 | − | 7.30449i | 1.14307 | − | 0.508928i | ||||
\(207\) | −9.51903 | − | 2.02333i | −0.661618 | − | 0.140631i | ||||
\(208\) | −0.382551 | −0.0265252 | ||||||||
\(209\) | −12.1048 | + | 7.90401i | −0.837308 | + | 0.546732i | ||||
\(210\) | 0.989970 | 0.0683144 | ||||||||
\(211\) | −19.3632 | − | 4.11577i | −1.33302 | − | 0.283341i | −0.514334 | − | 0.857590i | \(-0.671961\pi\) |
−0.818681 | + | 0.574249i | \(0.805294\pi\) | |||||||
\(212\) | 1.27739 | − | 0.568729i | 0.0877312 | − | 0.0390605i | ||||
\(213\) | −4.67513 | − | 2.08150i | −0.320335 | − | 0.142622i | ||||
\(214\) | 8.25728 | + | 9.17064i | 0.564456 | + | 0.626892i | ||||
\(215\) | 12.4910 | − | 2.65504i | 0.851877 | − | 0.181072i | ||||
\(216\) | −2.97631 | + | 2.16241i | −0.202512 | + | 0.147134i | ||||
\(217\) | −6.01803 | − | 4.37235i | −0.408530 | − | 0.296815i | ||||
\(218\) | −7.59674 | + | 8.43704i | −0.514516 | + | 0.571428i | ||||
\(219\) | 4.24726 | + | 7.35647i | 0.287003 | + | 0.497104i | ||||
\(220\) | −3.34607 | − | 5.52246i | −0.225592 | − | 0.372324i | ||||
\(221\) | −2.85737 | −0.192208 | ||||||||
\(222\) | −3.05529 | + | 3.39325i | −0.205058 | + | 0.227740i | ||||
\(223\) | −19.7099 | + | 8.77541i | −1.31987 | + | 0.587645i | −0.941189 | − | 0.337882i | \(-0.890290\pi\) |
−0.378683 | + | 0.925526i | \(0.623623\pi\) | |||||||
\(224\) | 0.702377 | + | 0.312719i | 0.0469296 | + | 0.0208944i | ||||
\(225\) | 2.07421 | + | 2.30365i | 0.138281 | + | 0.153577i | ||||
\(226\) | −1.97165 | − | 2.18974i | −0.131152 | − | 0.145660i | ||||
\(227\) | −10.1469 | + | 7.37212i | −0.673470 | + | 0.489305i | −0.871185 | − | 0.490955i | \(-0.836648\pi\) |
0.197715 | + | 0.980260i | \(0.436648\pi\) | |||||||
\(228\) | 2.71016 | − | 0.982738i | 0.179484 | − | 0.0650834i | ||||
\(229\) | −4.28291 | − | 13.1814i | −0.283023 | − | 0.871054i | −0.986984 | − | 0.160816i | \(-0.948587\pi\) |
0.703962 | − | 0.710238i | \(-0.251413\pi\) | |||||||
\(230\) | −3.69673 | + | 6.40292i | −0.243755 | + | 0.422196i | ||||
\(231\) | 0.487113 | − | 1.61459i | 0.0320497 | − | 0.106232i | ||||
\(232\) | −1.70159 | − | 2.94724i | −0.111715 | − | 0.193496i | ||||
\(233\) | 20.1385 | + | 4.28058i | 1.31932 | + | 0.280430i | 0.813175 | − | 0.582019i | \(-0.197737\pi\) |
0.506144 | + | 0.862449i | \(0.331070\pi\) | |||||||
\(234\) | −0.102472 | + | 0.974953i | −0.00669879 | + | 0.0637347i | ||||
\(235\) | 15.9643 | − | 11.5988i | 1.04140 | − | 0.756620i | ||||
\(236\) | 2.81131 | − | 8.65232i | 0.183001 | − | 0.563218i | ||||
\(237\) | −0.388357 | + | 0.0825478i | −0.0252265 | + | 0.00536205i | ||||
\(238\) | 5.24624 | + | 2.33577i | 0.340063 | + | 0.151406i | ||||
\(239\) | −16.0975 | − | 11.6955i | −1.04126 | − | 0.756522i | −0.0707314 | − | 0.997495i | \(-0.522533\pi\) |
−0.970532 | + | 0.240973i | \(0.922533\pi\) | |||||||
\(240\) | 0.397891 | + | 1.22458i | 0.0256838 | + | 0.0790465i | ||||
\(241\) | −4.14738 | − | 7.18347i | −0.267156 | − | 0.462728i | 0.700970 | − | 0.713191i | \(-0.252751\pi\) |
−0.968126 | + | 0.250463i | \(0.919417\pi\) | |||||||
\(242\) | −10.6533 | + | 2.73996i | −0.684819 | + | 0.176132i | ||||
\(243\) | 7.25601 | + | 12.5678i | 0.465473 | + | 0.806223i | ||||
\(244\) | 7.99986 | + | 1.70042i | 0.512139 | + | 0.108858i | ||||
\(245\) | 11.3986 | − | 5.07498i | 0.728229 | − | 0.324228i | ||||
\(246\) | 5.18051 | − | 3.76386i | 0.330297 | − | 0.239975i | ||||
\(247\) | 0.626511 | − | 1.54533i | 0.0398639 | − | 0.0983271i | ||||
\(248\) | 2.98978 | − | 9.20158i | 0.189851 | − | 0.584301i | ||||
\(249\) | −0.683237 | − | 6.50057i | −0.0432984 | − | 0.411957i | ||||
\(250\) | 11.0443 | − | 4.91723i | 0.698501 | − | 0.310993i | ||||
\(251\) | −9.65135 | + | 10.7189i | −0.609188 | + | 0.676571i | −0.966279 | − | 0.257498i | \(-0.917102\pi\) |
0.357091 | + | 0.934070i | \(0.383769\pi\) | |||||||
\(252\) | 0.985122 | − | 1.70628i | 0.0620569 | − | 0.107486i | ||||
\(253\) | 8.62389 | + | 9.17973i | 0.542179 | + | 0.577125i | ||||
\(254\) | −14.4302 | −0.905431 | ||||||||
\(255\) | 2.97195 | + | 9.14672i | 0.186111 | + | 0.572790i | ||||
\(256\) | −0.104528 | + | 0.994522i | −0.00653303 | + | 0.0621576i | ||||
\(257\) | −9.79911 | − | 4.36285i | −0.611252 | − | 0.272147i | 0.0776738 | − | 0.996979i | \(-0.475251\pi\) |
−0.688926 | + | 0.724832i | \(0.741917\pi\) | |||||||
\(258\) | −1.34053 | + | 4.12573i | −0.0834579 | + | 0.256857i | ||||
\(259\) | 1.64030 | − | 5.04831i | 0.101923 | − | 0.313687i | ||||
\(260\) | 0.680392 | + | 0.302930i | 0.0421961 | + | 0.0187869i | ||||
\(261\) | −7.96700 | + | 3.54714i | −0.493145 | + | 0.219562i | ||||
\(262\) | −6.06813 | + | 6.73934i | −0.374890 | + | 0.416358i | ||||
\(263\) | −3.32995 | + | 5.76764i | −0.205334 | + | 0.355648i | −0.950239 | − | 0.311522i | \(-0.899161\pi\) |
0.744905 | + | 0.667170i | \(0.232495\pi\) | |||||||
\(264\) | 2.19302 | − | 0.0463877i | 0.134971 | − | 0.00285497i | ||||
\(265\) | −2.72227 | −0.167228 | ||||||||
\(266\) | −2.41353 | + | 2.32514i | −0.147983 | + | 0.142563i | ||||
\(267\) | 9.52280 | + | 6.91872i | 0.582786 | + | 0.423419i | ||||
\(268\) | −0.127355 | − | 1.21170i | −0.00777944 | − | 0.0740164i | ||||
\(269\) | −3.66159 | − | 4.06661i | −0.223251 | − | 0.247946i | 0.621105 | − | 0.783727i | \(-0.286684\pi\) |
−0.844357 | + | 0.535781i | \(0.820017\pi\) | |||||||
\(270\) | 7.00589 | − | 1.48915i | 0.426365 | − | 0.0906267i | ||||
\(271\) | 1.17604 | + | 11.1893i | 0.0714394 | + | 0.679700i | 0.970372 | + | 0.241614i | \(0.0776768\pi\) |
−0.898933 | + | 0.438086i | \(0.855656\pi\) | |||||||
\(272\) | −0.780750 | + | 7.42834i | −0.0473399 | + | 0.450409i | ||||
\(273\) | 0.0601111 | + | 0.185003i | 0.00363809 | + | 0.0111969i | ||||
\(274\) | −10.2685 | −0.620345 | ||||||||
\(275\) | −0.503653 | − | 3.98025i | −0.0303714 | − | 0.240018i | ||||
\(276\) | −1.25580 | − | 2.17511i | −0.0755904 | − | 0.130926i | ||||
\(277\) | −3.07375 | − | 9.46004i | −0.184684 | − | 0.568399i | 0.815259 | − | 0.579097i | \(-0.196595\pi\) |
−0.999943 | + | 0.0106981i | \(0.996595\pi\) | |||||||
\(278\) | −13.5955 | − | 9.87771i | −0.815404 | − | 0.592426i | ||||
\(279\) | −22.6499 | − | 10.0844i | −1.35601 | − | 0.603736i | ||||
\(280\) | −1.00159 | − | 1.11238i | −0.0598565 | − | 0.0664774i | ||||
\(281\) | 0.612065 | − | 0.130098i | 0.0365127 | − | 0.00776102i | −0.189619 | − | 0.981858i | \(-0.560725\pi\) |
0.226132 | + | 0.974097i | \(0.427392\pi\) | |||||||
\(282\) | 0.700698 | + | 6.66670i | 0.0417260 | + | 0.396996i | ||||
\(283\) | 19.0002 | − | 8.45942i | 1.12944 | − | 0.502860i | 0.245006 | − | 0.969521i | \(-0.421210\pi\) |
0.884436 | + | 0.466661i | \(0.154543\pi\) | |||||||
\(284\) | 2.39113 | + | 7.35914i | 0.141888 | + | 0.436685i | ||||
\(285\) | −5.59838 | − | 0.398222i | −0.331620 | − | 0.0235887i | ||||
\(286\) | 0.828849 | − | 0.960630i | 0.0490109 | − | 0.0568032i | ||||
\(287\) | −3.72205 | + | 6.44678i | −0.219706 | + | 0.380541i | ||||
\(288\) | 2.50659 | + | 0.532793i | 0.147703 | + | 0.0313951i | ||||
\(289\) | −4.05464 | + | 38.5773i | −0.238508 | + | 2.26925i | ||||
\(290\) | 0.692562 | + | 6.58929i | 0.0406686 | + | 0.386936i | ||||
\(291\) | 9.65603 | − | 2.05245i | 0.566047 | − | 0.120317i | ||||
\(292\) | 3.96898 | − | 12.2152i | 0.232267 | − | 0.714843i | ||||
\(293\) | 3.40647 | − | 2.47494i | 0.199008 | − | 0.144588i | −0.483818 | − | 0.875168i | \(-0.660751\pi\) |
0.682826 | + | 0.730581i | \(0.260751\pi\) | |||||||
\(294\) | −0.443056 | + | 4.21540i | −0.0258396 | + | 0.245847i | ||||
\(295\) | −11.8516 | + | 13.1625i | −0.690026 | + | 0.766351i | ||||
\(296\) | 6.90398 | 0.401286 | ||||||||
\(297\) | 1.01851 | − | 12.1590i | 0.0590997 | − | 0.705537i | ||||
\(298\) | −3.28681 | − | 5.69293i | −0.190400 | − | 0.329782i | ||||
\(299\) | −1.42103 | − | 0.302049i | −0.0821802 | − | 0.0174679i | ||||
\(300\) | −0.0836258 | + | 0.795646i | −0.00482814 | + | 0.0459366i | ||||
\(301\) | −0.527142 | − | 5.01542i | −0.0303839 | − | 0.289084i | ||||
\(302\) | −2.89610 | − | 3.21644i | −0.166652 | − | 0.185085i | ||||
\(303\) | 1.38666 | − | 4.26769i | 0.0796613 | − | 0.245172i | ||||
\(304\) | −3.84622 | − | 2.05099i | −0.220596 | − | 0.117632i | ||||
\(305\) | −12.8817 | − | 9.35914i | −0.737607 | − | 0.535903i | ||||
\(306\) | 18.7224 | + | 3.97957i | 1.07029 | + | 0.227497i | ||||
\(307\) | 7.11058 | − | 12.3159i | 0.405822 | − | 0.702905i | −0.588594 | − | 0.808429i | \(-0.700318\pi\) |
0.994417 | + | 0.105523i | \(0.0336518\pi\) | |||||||
\(308\) | −2.30707 | + | 1.08620i | −0.131457 | + | 0.0618921i | ||||
\(309\) | 5.93867 | − | 10.2861i | 0.337839 | − | 0.585155i | ||||
\(310\) | −12.6039 | + | 13.9981i | −0.715856 | + | 0.795038i | ||||
\(311\) | 18.0115 | + | 13.0861i | 1.02134 | + | 0.742044i | 0.966556 | − | 0.256454i | \(-0.0825543\pi\) |
0.0547799 | + | 0.998498i | \(0.482554\pi\) | |||||||
\(312\) | −0.204687 | + | 0.148714i | −0.0115881 | + | 0.00841926i | ||||
\(313\) | −2.98635 | + | 0.634768i | −0.168798 | + | 0.0358792i | −0.291535 | − | 0.956560i | \(-0.594166\pi\) |
0.122737 | + | 0.992439i | \(0.460833\pi\) | |||||||
\(314\) | 22.7352 | − | 4.83251i | 1.28302 | − | 0.272714i | ||||
\(315\) | −3.10325 | + | 2.25464i | −0.174848 | + | 0.127035i | ||||
\(316\) | 0.485670 | + | 0.352860i | 0.0273211 | + | 0.0198499i | ||||
\(317\) | 16.3247 | − | 18.1304i | 0.916888 | − | 1.01831i | −0.0828760 | − | 0.996560i | \(-0.526411\pi\) |
0.999764 | − | 0.0217469i | \(-0.00692279\pi\) | |||||||
\(318\) | 0.462386 | − | 0.800876i | 0.0259293 | − | 0.0449109i | ||||
\(319\) | 11.0876 | + | 2.11271i | 0.620785 | + | 0.118289i | ||||
\(320\) | 0.973440 | − | 1.68605i | 0.0544169 | − | 0.0942529i | ||||
\(321\) | 7.98313 | + | 1.69687i | 0.445575 | + | 0.0947098i | ||||
\(322\) | 2.36214 | + | 1.71620i | 0.131637 | + | 0.0956400i | ||||
\(323\) | −28.7284 | − | 15.3194i | −1.59849 | − | 0.852393i | ||||
\(324\) | 1.62378 | − | 4.99748i | 0.0902101 | − | 0.277638i | ||||
\(325\) | 0.309645 | + | 0.343895i | 0.0171760 | + | 0.0190759i | ||||
\(326\) | −0.402388 | − | 3.82847i | −0.0222862 | − | 0.212039i | ||||
\(327\) | −0.784863 | + | 7.46747i | −0.0434030 | + | 0.412952i | ||||
\(328\) | −9.47058 | − | 2.01303i | −0.522925 | − | 0.111151i | ||||
\(329\) | −3.89640 | − | 6.74877i | −0.214816 | − | 0.372072i | ||||
\(330\) | −3.93715 | − | 1.65407i | −0.216733 | − | 0.0910538i | ||||
\(331\) | 0.278238 | 0.0152934 | 0.00764668 | − | 0.999971i | \(-0.497566\pi\) | ||||
0.00764668 | + | 0.999971i | \(0.497566\pi\) | |||||||
\(332\) | −6.61310 | + | 7.34460i | −0.362941 | + | 0.403087i | ||||
\(333\) | 1.84933 | − | 17.5952i | 0.101343 | − | 0.964210i | ||||
\(334\) | 1.52848 | − | 1.11050i | 0.0836346 | − | 0.0607641i | ||||
\(335\) | −0.732998 | + | 2.25593i | −0.0400479 | + | 0.123255i | ||||
\(336\) | 0.497379 | − | 0.105721i | 0.0271342 | − | 0.00576756i | ||||
\(337\) | 1.56399 | + | 14.8803i | 0.0851958 | + | 0.810584i | 0.950790 | + | 0.309837i | \(0.100275\pi\) |
−0.865594 | + | 0.500747i | \(0.833059\pi\) | |||||||
\(338\) | 1.34357 | − | 12.7832i | 0.0730807 | − | 0.695317i | ||||
\(339\) | −1.90619 | − | 0.405174i | −0.103530 | − | 0.0220060i | ||||
\(340\) | 7.27087 | − | 12.5935i | 0.394318 | − | 0.682979i | ||||
\(341\) | 16.6285 | + | 27.4441i | 0.900482 | + | 1.48618i | ||||
\(342\) | −6.25733 | + | 9.25293i | −0.338358 | + | 0.500341i | ||||
\(343\) | −3.18577 | − | 9.80480i | −0.172016 | − | 0.529410i | ||||
\(344\) | 5.99215 | − | 2.66788i | 0.323075 | − | 0.143842i | ||||
\(345\) | 0.511122 | + | 4.86300i | 0.0275179 | + | 0.261815i | ||||
\(346\) | −5.05288 | + | 1.07402i | −0.271645 | + | 0.0577399i | ||||
\(347\) | −3.35209 | − | 3.72287i | −0.179950 | − | 0.199854i | 0.646421 | − | 0.762981i | \(-0.276265\pi\) |
−0.826371 | + | 0.563127i | \(0.809598\pi\) | |||||||
\(348\) | −2.05616 | − | 0.915463i | −0.110222 | − | 0.0490740i | ||||
\(349\) | −13.2678 | − | 9.63961i | −0.710208 | − | 0.515997i | 0.173032 | − | 0.984916i | \(-0.444643\pi\) |
−0.883241 | + | 0.468919i | \(0.844643\pi\) | |||||||
\(350\) | −0.287399 | − | 0.884524i | −0.0153621 | − | 0.0472798i | ||||
\(351\) | 0.703687 | + | 1.21882i | 0.0375600 | + | 0.0650559i | ||||
\(352\) | −2.27088 | − | 2.41725i | −0.121038 | − | 0.128840i | ||||
\(353\) | 12.1725 | 0.647878 | 0.323939 | − | 0.946078i | \(-0.394993\pi\) | ||||
0.323939 | + | 0.946078i | \(0.394993\pi\) | |||||||
\(354\) | −1.85931 | − | 5.72236i | −0.0988211 | − | 0.304140i | ||||
\(355\) | 1.57469 | − | 14.9822i | 0.0835758 | − | 0.795171i | ||||
\(356\) | −1.86037 | − | 17.7002i | −0.0985993 | − | 0.938110i | ||||
\(357\) | 3.71505 | − | 0.789658i | 0.196621 | − | 0.0417931i | ||||
\(358\) | −1.59380 | − | 1.77009i | −0.0842347 | − | 0.0935521i | ||||
\(359\) | −0.189969 | − | 1.80744i | −0.0100262 | − | 0.0953929i | 0.988364 | − | 0.152105i | \(-0.0486051\pi\) |
−0.998391 | + | 0.0567117i | \(0.981938\pi\) | |||||||
\(360\) | −4.03624 | − | 2.93250i | −0.212728 | − | 0.154556i | ||||
\(361\) | 14.5841 | − | 12.1780i | 0.767584 | − | 0.640949i | ||||
\(362\) | −15.0954 | −0.793395 | ||||||||
\(363\) | −4.63498 | + | 5.60742i | −0.243273 | + | 0.294313i | ||||
\(364\) | 0.147062 | − | 0.254719i | 0.00770813 | − | 0.0133509i | ||||
\(365\) | −16.7319 | + | 18.5827i | −0.875789 | + | 0.972662i | ||||
\(366\) | 4.94141 | − | 2.20006i | 0.258292 | − | 0.114999i | ||||
\(367\) | −12.1231 | − | 5.39754i | −0.632819 | − | 0.281749i | 0.0651519 | − | 0.997875i | \(-0.479247\pi\) |
−0.697971 | + | 0.716126i | \(0.745913\pi\) | |||||||
\(368\) | −1.17352 | + | 3.61173i | −0.0611740 | + | 0.188274i | ||||
\(369\) | −7.66715 | + | 23.5971i | −0.399136 | + | 1.22841i | ||||
\(370\) | −12.2792 | − | 5.46704i | −0.638363 | − | 0.284218i | ||||
\(371\) | −0.112374 | + | 1.06917i | −0.00583418 | + | 0.0555085i | ||||
\(372\) | −1.97734 | − | 6.08562i | −0.102520 | − | 0.315525i | ||||
\(373\) | 10.5103 | 0.544202 | 0.272101 | − | 0.962269i | \(-0.412282\pi\) | ||||
0.272101 | + | 0.962269i | \(0.412282\pi\) | |||||||
\(374\) | −16.9618 | − | 18.0551i | −0.877074 | − | 0.933604i | ||||
\(375\) | 3.99779 | − | 6.92437i | 0.206445 | − | 0.357573i | ||||
\(376\) | 6.78211 | − | 7.53229i | 0.349760 | − | 0.388448i | ||||
\(377\) | −1.18934 | + | 0.529527i | −0.0612539 | + | 0.0272720i | ||||
\(378\) | −0.295661 | − | 2.81303i | −0.0152072 | − | 0.144687i | ||||
\(379\) | 7.64301 | − | 23.5228i | 0.392595 | − | 1.20828i | −0.538224 | − | 0.842802i | \(-0.680904\pi\) |
0.930819 | − | 0.365481i | \(-0.119096\pi\) | |||||||
\(380\) | 5.21664 | + | 6.69352i | 0.267608 | + | 0.343370i | ||||
\(381\) | −7.72098 | + | 5.60962i | −0.395558 | + | 0.287390i | ||||
\(382\) | −1.60848 | + | 0.716142i | −0.0822970 | + | 0.0366410i | ||||
\(383\) | −0.855604 | − | 0.181864i | −0.0437193 | − | 0.00929283i | 0.186000 | − | 0.982550i | \(-0.440448\pi\) |
−0.229719 | + | 0.973257i | \(0.573781\pi\) | |||||||
\(384\) | 0.330684 | + | 0.572761i | 0.0168751 | + | 0.0292286i | ||||
\(385\) | 4.96339 | − | 0.104988i | 0.252958 | − | 0.00535069i | ||||
\(386\) | −2.36236 | − | 4.09172i | −0.120241 | − | 0.208263i | ||||
\(387\) | −5.19415 | − | 15.9860i | −0.264034 | − | 0.812612i | ||||
\(388\) | −12.0756 | − | 8.77345i | −0.613047 | − | 0.445404i | ||||
\(389\) | 10.8325 | + | 4.82293i | 0.549228 | + | 0.244532i | 0.662539 | − | 0.749028i | \(-0.269479\pi\) |
−0.113311 | + | 0.993560i | \(0.536146\pi\) | |||||||
\(390\) | 0.481810 | − | 0.102412i | 0.0243974 | − | 0.00518583i | ||||
\(391\) | −8.76533 | + | 26.9769i | −0.443282 | + | 1.36428i | ||||
\(392\) | 5.18489 | − | 3.76704i | 0.261876 | − | 0.190264i | ||||
\(393\) | −0.626933 | + | 5.96487i | −0.0316246 | + | 0.300888i | ||||
\(394\) | −24.4613 | − | 5.19941i | −1.23234 | − | 0.261942i | ||||
\(395\) | −0.584377 | − | 1.01217i | −0.0294032 | − | 0.0509278i | ||||
\(396\) | −6.76878 | + | 5.13998i | −0.340144 | + | 0.258293i | ||||
\(397\) | 5.25841 | − | 9.10784i | 0.263912 | − | 0.457109i | −0.703366 | − | 0.710828i | \(-0.748320\pi\) |
0.967278 | + | 0.253719i | \(0.0816538\pi\) | |||||||
\(398\) | −5.98416 | − | 18.4173i | −0.299959 | − | 0.923178i | ||||
\(399\) | −0.387501 | + | 2.18232i | −0.0193993 | + | 0.109253i | ||||
\(400\) | 0.978635 | − | 0.711020i | 0.0489317 | − | 0.0355510i | ||||
\(401\) | −17.9232 | − | 19.9058i | −0.895043 | − | 0.994046i | 0.104957 | − | 0.994477i | \(-0.466530\pi\) |
−1.00000 | 0.000430820i | \(0.999863\pi\) | ||||||||
\(402\) | −0.539181 | − | 0.598821i | −0.0268919 | − | 0.0298665i | ||||
\(403\) | −3.38124 | − | 1.50543i | −0.168432 | − | 0.0749906i | ||||
\(404\) | −6.19832 | + | 2.75967i | −0.308378 | + | 0.137299i | ||||
\(405\) | −6.84534 | + | 7.60252i | −0.340148 | + | 0.377772i | ||||
\(406\) | 2.61653 | 0.129856 | ||||||||
\(407\) | −14.9584 | + | 17.3367i | −0.741461 | + | 0.859347i | ||||
\(408\) | 2.46996 | + | 4.27810i | 0.122281 | + | 0.211797i | ||||
\(409\) | −16.9356 | + | 18.8088i | −0.837410 | + | 0.930038i | −0.998379 | − | 0.0569218i | \(-0.981871\pi\) |
0.160969 | + | 0.986959i | \(0.448538\pi\) | |||||||
\(410\) | 15.2500 | + | 11.0797i | 0.753142 | + | 0.547190i | ||||
\(411\) | −5.49426 | + | 3.99181i | −0.271012 | + | 0.196902i | ||||
\(412\) | −17.5663 | + | 3.73384i | −0.865431 | + | 0.183953i | ||||
\(413\) | 4.68034 | + | 5.19805i | 0.230305 | + | 0.255779i | ||||
\(414\) | 8.89034 | + | 3.95823i | 0.436936 | + | 0.194537i | ||||
\(415\) | 17.5778 | − | 7.82613i | 0.862859 | − | 0.384169i | ||||
\(416\) | 0.374192 | + | 0.0795369i | 0.0183463 | + | 0.00389962i | ||||
\(417\) | −11.1143 | −0.544267 | ||||||||
\(418\) | 13.4836 | − | 5.21455i | 0.659506 | − | 0.255052i | ||||
\(419\) | −15.4290 | −0.753756 | −0.376878 | − | 0.926263i | \(-0.623002\pi\) | ||||
−0.376878 | + | 0.926263i | \(0.623002\pi\) | |||||||
\(420\) | −0.968337 | − | 0.205826i | −0.0472500 | − | 0.0100433i | ||||
\(421\) | 29.5223 | − | 13.1442i | 1.43883 | − | 0.640607i | 0.468734 | − | 0.883339i | \(-0.344710\pi\) |
0.970093 | + | 0.242732i | \(0.0780437\pi\) | |||||||
\(422\) | 18.0843 | + | 8.05166i | 0.880331 | + | 0.391949i | ||||
\(423\) | −17.3798 | − | 19.3022i | −0.845034 | − | 0.938505i | ||||
\(424\) | −1.36772 | + | 0.290717i | −0.0664222 | + | 0.0141185i | ||||
\(425\) | 7.30967 | − | 5.31079i | 0.354571 | − | 0.257611i | ||||
\(426\) | 4.14020 | + | 3.00803i | 0.200593 | + | 0.145740i | ||||
\(427\) | −4.20755 | + | 4.67296i | −0.203618 | + | 0.226140i | ||||
\(428\) | −6.17016 | − | 10.6870i | −0.298246 | − | 0.516577i | ||||
\(429\) | 0.0700448 | − | 0.836200i | 0.00338179 | − | 0.0403721i | ||||
\(430\) | −12.7700 | −0.615825 | ||||||||
\(431\) | 22.0954 | − | 24.5395i | 1.06430 | − | 1.18202i | 0.0816293 | − | 0.996663i | \(-0.473988\pi\) |
0.982670 | − | 0.185362i | \(-0.0593457\pi\) | |||||||
\(432\) | 3.36086 | − | 1.49635i | 0.161699 | − | 0.0719932i | ||||
\(433\) | −0.501354 | − | 0.223217i | −0.0240935 | − | 0.0107271i | 0.394655 | − | 0.918830i | \(-0.370864\pi\) |
−0.418748 | + | 0.908102i | \(0.637531\pi\) | |||||||
\(434\) | 4.97746 | + | 5.52802i | 0.238926 | + | 0.265354i | ||||
\(435\) | 2.93209 | + | 3.25642i | 0.140583 | + | 0.156133i | ||||
\(436\) | 9.18489 | − | 6.67322i | 0.439877 | − | 0.319589i | ||||
\(437\) | −12.6678 | − | 10.6555i | −0.605984 | − | 0.509720i | ||||
\(438\) | −2.62495 | − | 8.07876i | −0.125425 | − | 0.386018i | ||||
\(439\) | −11.1388 | + | 19.2929i | −0.531625 | + | 0.920802i | 0.467693 | + | 0.883891i | \(0.345085\pi\) |
−0.999319 | + | 0.0369113i | \(0.988248\pi\) | |||||||
\(440\) | 2.12477 | + | 6.09747i | 0.101294 | + | 0.290685i | ||||
\(441\) | −8.21167 | − | 14.2230i | −0.391032 | − | 0.677287i | ||||
\(442\) | 2.79493 | + | 0.594081i | 0.132941 | + | 0.0282576i | ||||
\(443\) | 0.975209 | − | 9.27849i | 0.0463336 | − | 0.440834i | −0.946622 | − | 0.322346i | \(-0.895529\pi\) |
0.992955 | − | 0.118488i | \(-0.0378048\pi\) | |||||||
\(444\) | 3.69402 | − | 2.68387i | 0.175311 | − | 0.127371i | ||||
\(445\) | −10.7074 | + | 32.9541i | −0.507582 | + | 1.56218i | ||||
\(446\) | 21.1037 | − | 4.48573i | 0.999289 | − | 0.212405i | ||||
\(447\) | −3.97171 | − | 1.76832i | −0.187856 | − | 0.0836387i | ||||
\(448\) | −0.622011 | − | 0.451917i | −0.0293872 | − | 0.0213511i | ||||
\(449\) | 0.159611 | + | 0.491231i | 0.00753249 | + | 0.0231826i | 0.954752 | − | 0.297403i | \(-0.0961204\pi\) |
−0.947220 | + | 0.320585i | \(0.896120\pi\) | |||||||
\(450\) | −1.54993 | − | 2.68456i | −0.0730645 | − | 0.126551i | ||||
\(451\) | 25.5742 | − | 19.4202i | 1.20424 | − | 0.914461i | ||||
\(452\) | 1.47329 | + | 2.55182i | 0.0692980 | + | 0.120028i | ||||
\(453\) | −2.79994 | − | 0.595146i | −0.131553 | − | 0.0279624i | ||||
\(454\) | 11.4579 | − | 5.10137i | 0.537744 | − | 0.239419i | ||||
\(455\) | −0.463262 | + | 0.336580i | −0.0217181 | + | 0.0157791i | ||||
\(456\) | −2.85526 | + | 0.397790i | −0.133710 | + | 0.0186282i | ||||
\(457\) | −1.31877 | + | 4.05874i | −0.0616893 | + | 0.189860i | −0.977152 | − | 0.212544i | \(-0.931825\pi\) |
0.915462 | + | 0.402404i | \(0.131825\pi\) | |||||||
\(458\) | 1.44874 | + | 13.7839i | 0.0676953 | + | 0.644078i | ||||
\(459\) | 25.1031 | − | 11.1766i | 1.17171 | − | 0.521680i | ||||
\(460\) | 4.94719 | − | 5.49441i | 0.230664 | − | 0.256178i | ||||
\(461\) | 8.01902 | − | 13.8893i | 0.373483 | − | 0.646891i | −0.616616 | − | 0.787264i | \(-0.711497\pi\) |
0.990099 | + | 0.140373i | \(0.0448301\pi\) | |||||||
\(462\) | −0.812161 | + | 1.47803i | −0.0377851 | + | 0.0687644i | ||||
\(463\) | −3.82341 | −0.177689 | −0.0888445 | − | 0.996046i | \(-0.528317\pi\) | ||||
−0.0888445 | + | 0.996046i | \(0.528317\pi\) | |||||||
\(464\) | 1.05164 | + | 3.23662i | 0.0488212 | + | 0.150256i | ||||
\(465\) | −1.30218 | + | 12.3895i | −0.0603874 | + | 0.574547i | ||||
\(466\) | −18.8085 | − | 8.37408i | −0.871286 | − | 0.387922i | ||||
\(467\) | 8.03956 | − | 24.7432i | 0.372027 | − | 1.14498i | −0.573436 | − | 0.819250i | \(-0.694390\pi\) |
0.945463 | − | 0.325730i | \(-0.105610\pi\) | |||||||
\(468\) | 0.302937 | − | 0.932343i | 0.0140033 | − | 0.0430976i | ||||
\(469\) | 0.855759 | + | 0.381008i | 0.0395153 | + | 0.0175933i | ||||
\(470\) | −18.0270 | + | 8.02613i | −0.831523 | + | 0.370218i | ||||
\(471\) | 10.2860 | − | 11.4238i | 0.473955 | − | 0.526380i | ||||
\(472\) | −4.54879 | + | 7.87874i | −0.209375 | + | 0.362649i | ||||
\(473\) | −6.28346 | + | 20.8273i | −0.288914 | + | 0.957639i | ||||
\(474\) | 0.397033 | 0.0182363 | ||||||||
\(475\) | 1.26947 | + | 5.11768i | 0.0582471 | + | 0.234815i | ||||
\(476\) | −4.64596 | − | 3.37549i | −0.212947 | − | 0.154715i | ||||
\(477\) | 0.374547 | + | 3.56358i | 0.0171493 | + | 0.163165i | ||||
\(478\) | 13.3141 | + | 14.7868i | 0.608974 | + | 0.676334i | ||||
\(479\) | −25.6942 | + | 5.46148i | −1.17400 | + | 0.249541i | −0.753312 | − | 0.657664i | \(-0.771545\pi\) |
−0.420688 | + | 0.907205i | \(0.638211\pi\) | |||||||
\(480\) | −0.134591 | − | 1.28055i | −0.00614321 | − | 0.0584488i | ||||
\(481\) | 0.276073 | − | 2.62666i | 0.0125878 | − | 0.119765i | ||||
\(482\) | 2.56322 | + | 7.88879i | 0.116752 | + | 0.359324i | ||||
\(483\) | 1.93104 | 0.0878654 | ||||||||
\(484\) | 10.9902 | − | 0.465146i | 0.499553 | − | 0.0211430i | ||||
\(485\) | 14.5298 | + | 25.1664i | 0.659766 | + | 1.14275i | ||||
\(486\) | −4.48446 | − | 13.8017i | −0.203419 | − | 0.626060i | ||||
\(487\) | −2.43876 | − | 1.77186i | −0.110511 | − | 0.0802907i | 0.531157 | − | 0.847273i | \(-0.321757\pi\) |
−0.641668 | + | 0.766982i | \(0.721757\pi\) | |||||||
\(488\) | −7.47151 | − | 3.32653i | −0.338219 | − | 0.150585i | ||||
\(489\) | −1.70359 | − | 1.89202i | −0.0770388 | − | 0.0855603i | ||||
\(490\) | −12.2046 | + | 2.59418i | −0.551350 | + | 0.117193i | ||||
\(491\) | −3.71223 | − | 35.3195i | −0.167531 | − | 1.59395i | −0.678665 | − | 0.734448i | \(-0.737441\pi\) |
0.511134 | − | 0.859501i | \(-0.329226\pi\) | |||||||
\(492\) | −5.84985 | + | 2.60452i | −0.263732 | + | 0.117421i | ||||
\(493\) | 7.85497 | + | 24.1751i | 0.353770 | + | 1.08879i | ||||
\(494\) | −0.934112 | + | 1.38130i | −0.0420277 | + | 0.0621478i | ||||
\(495\) | 16.1089 | − | 3.78179i | 0.724040 | − | 0.169979i | ||||
\(496\) | −4.83756 | + | 8.37890i | −0.217213 | + | 0.376224i | ||||
\(497\) | −5.81923 | − | 1.23692i | −0.261028 | − | 0.0554833i | ||||
\(498\) | −0.683237 | + | 6.50057i | −0.0306166 | + | 0.291297i | ||||
\(499\) | 0.498933 | + | 4.74703i | 0.0223353 | + | 0.212506i | 0.999997 | + | 0.00232290i | \(0.000739404\pi\) |
−0.977662 | + | 0.210183i | \(0.932594\pi\) | |||||||
\(500\) | −11.8253 | + | 2.51354i | −0.528842 | + | 0.112409i | ||||
\(501\) | 0.386124 | − | 1.18837i | 0.0172507 | − | 0.0530923i | ||||
\(502\) | 11.6690 | − | 8.47804i | 0.520814 | − | 0.378394i | ||||
\(503\) | 0.562773 | − | 5.35442i | 0.0250928 | − | 0.238742i | −0.974786 | − | 0.223144i | \(-0.928368\pi\) |
0.999878 | − | 0.0155982i | \(-0.00496526\pi\) | |||||||
\(504\) | −1.31835 | + | 1.46418i | −0.0587240 | + | 0.0652196i | ||||
\(505\) | 13.2094 | 0.587810 | ||||||||
\(506\) | −6.52686 | − | 10.7721i | −0.290154 | − | 0.478880i | ||||
\(507\) | −4.25049 | − | 7.36207i | −0.188771 | − | 0.326961i | ||||
\(508\) | 14.1149 | + | 3.00021i | 0.626246 | + | 0.133113i | ||||
\(509\) | 0.575430 | − | 5.47485i | 0.0255055 | − | 0.242668i | −0.974340 | − | 0.225082i | \(-0.927735\pi\) |
0.999845 | − | 0.0175866i | \(-0.00559828\pi\) | |||||||
\(510\) | −1.00530 | − | 9.56474i | −0.0445152 | − | 0.423534i | ||||
\(511\) | 6.60765 | + | 7.33854i | 0.292305 | + | 0.324638i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 0.540435 | + | 16.0269i | 0.0238608 | + | 0.707606i | ||||
\(514\) | 8.67789 | + | 6.30486i | 0.382765 | + | 0.278095i | ||||
\(515\) | 34.1995 | + | 7.26934i | 1.50701 | + | 0.320325i | ||||
\(516\) | 2.16903 | − | 3.75687i | 0.0954861 | − | 0.165387i | ||||
\(517\) | 4.22009 | + | 33.3504i | 0.185599 | + | 1.46675i | ||||
\(518\) | −2.65405 | + | 4.59696i | −0.116612 | + | 0.201979i | ||||
\(519\) | −2.28606 | + | 2.53893i | −0.100347 | + | 0.111447i | ||||
\(520\) | −0.602541 | − | 0.437772i | −0.0264232 | − | 0.0191976i | ||||
\(521\) | 17.3963 | − | 12.6391i | 0.762145 | − | 0.553731i | −0.137422 | − | 0.990513i | \(-0.543882\pi\) |
0.899568 | + | 0.436782i | \(0.143882\pi\) | |||||||
\(522\) | 8.53039 | − | 1.81319i | 0.373365 | − | 0.0793612i | ||||
\(523\) | 13.3950 | − | 2.84719i | 0.585721 | − | 0.124499i | 0.0944862 | − | 0.995526i | \(-0.469879\pi\) |
0.491234 | + | 0.871027i | \(0.336546\pi\) | |||||||
\(524\) | 7.33672 | − | 5.33044i | 0.320506 | − | 0.232861i | ||||
\(525\) | −0.497626 | − | 0.361547i | −0.0217182 | − | 0.0157792i | ||||
\(526\) | 4.45634 | − | 4.94927i | 0.194306 | − | 0.215798i | ||||
\(527\) | −36.1330 | + | 62.5841i | −1.57398 | + | 2.72621i | ||||
\(528\) | −2.15474 | − | 0.410580i | −0.0937729 | − | 0.0178682i | ||||
\(529\) | 4.28914 | − | 7.42901i | 0.186484 | − | 0.323000i | ||||
\(530\) | 2.66278 | + | 0.565992i | 0.115664 | + | 0.0245851i | ||||
\(531\) | 18.8610 | + | 13.7033i | 0.818496 | + | 0.594672i | ||||
\(532\) | 2.84422 | − | 1.77253i | 0.123312 | − | 0.0768487i | ||||
\(533\) | −1.14457 | + | 3.52264i | −0.0495770 | + | 0.152582i | ||||
\(534\) | −7.87622 | − | 8.74743i | −0.340837 | − | 0.378538i | ||||
\(535\) | 2.51131 | + | 23.8935i | 0.108573 | + | 1.03301i | ||||
\(536\) | −0.127355 | + | 1.21170i | −0.00550089 | + | 0.0523375i | ||||
\(537\) | −1.54088 | − | 0.327524i | −0.0664939 | − | 0.0141337i | ||||
\(538\) | 2.73608 | + | 4.73904i | 0.117961 | + | 0.204314i | ||||
\(539\) | −1.77429 | + | 21.1816i | −0.0764242 | + | 0.912358i | ||||
\(540\) | −7.16241 | −0.308221 | ||||||||
\(541\) | 7.68500 | − | 8.53506i | 0.330404 | − | 0.366951i | −0.554938 | − | 0.831892i | \(-0.687258\pi\) |
0.885342 | + | 0.464941i | \(0.153925\pi\) | |||||||
\(542\) | 1.17604 | − | 11.1893i | 0.0505153 | − | 0.480621i | ||||
\(543\) | −8.07689 | + | 5.86820i | −0.346612 | + | 0.251829i | ||||
\(544\) | 2.30813 | − | 7.10368i | 0.0989601 | − | 0.304568i | ||||
\(545\) | −21.6202 | + | 4.59552i | −0.926108 | + | 0.196850i | ||||
\(546\) | −0.0203333 | − | 0.193458i | −0.000870183 | − | 0.00827924i | ||||
\(547\) | −2.59898 | + | 24.7276i | −0.111124 | + | 1.05728i | 0.786825 | + | 0.617177i | \(0.211724\pi\) |
−0.897949 | + | 0.440100i | \(0.854943\pi\) | |||||||
\(548\) | 10.0442 | + | 2.13495i | 0.429065 | + | 0.0912005i | ||||
\(549\) | −10.4792 | + | 18.1505i | −0.447241 | + | 0.774644i | ||||
\(550\) | −0.334893 | + | 3.99798i | −0.0142799 | + | 0.170475i | ||||
\(551\) | −14.7967 | − | 1.05252i | −0.630362 | − | 0.0448387i | ||||
\(552\) | 0.776128 | + | 2.38868i | 0.0330342 | + | 0.101669i | ||||
\(553\) | −0.421652 | + | 0.187732i | −0.0179305 | + | 0.00798316i | ||||
\(554\) | 1.03973 | + | 9.89238i | 0.0441739 | + | 0.420287i | ||||
\(555\) | −8.69532 | + | 1.84825i | −0.369096 | + | 0.0784537i | ||||
\(556\) | 11.2447 | + | 12.4885i | 0.476882 | + | 0.529631i | ||||
\(557\) | 16.6489 | + | 7.41256i | 0.705436 | + | 0.314080i | 0.727915 | − | 0.685667i | \(-0.240489\pi\) |
−0.0224797 | + | 0.999747i | \(0.507156\pi\) | |||||||
\(558\) | 20.0583 | + | 14.5732i | 0.849135 | + | 0.616932i | ||||
\(559\) | −0.775398 | − | 2.38643i | −0.0327958 | − | 0.100935i | ||||
\(560\) | 0.748427 | + | 1.29631i | 0.0316268 | + | 0.0547792i | ||||
\(561\) | −16.0943 | − | 3.06672i | −0.679501 | − | 0.129477i | ||||
\(562\) | −0.625739 | −0.0263952 | ||||||||
\(563\) | 8.11479 | + | 24.9748i | 0.341998 | + | 1.05256i | 0.963172 | + | 0.268888i | \(0.0866560\pi\) |
−0.621174 | + | 0.783673i | \(0.713344\pi\) | |||||||
\(564\) | 0.700698 | − | 6.66670i | 0.0295047 | − | 0.280719i | ||||
\(565\) | −0.599644 | − | 5.70523i | −0.0252272 | − | 0.240021i | ||||
\(566\) | −20.3438 | + | 4.32420i | −0.855113 | + | 0.181760i | ||||
\(567\) | 2.70331 | + | 3.00233i | 0.113528 | + | 0.126086i | ||||
\(568\) | −0.808827 | − | 7.69547i | −0.0339376 | − | 0.322895i | ||||
\(569\) | 5.64026 | + | 4.09789i | 0.236452 | + | 0.171792i | 0.699701 | − | 0.714436i | \(-0.253316\pi\) |
−0.463249 | + | 0.886228i | \(0.653316\pi\) | |||||||
\(570\) | 5.39325 | + | 1.55349i | 0.225898 | + | 0.0650685i | ||||
\(571\) | 13.7941 | 0.577264 | 0.288632 | − | 0.957440i | \(-0.406800\pi\) | ||||
0.288632 | + | 0.957440i | \(0.406800\pi\) | |||||||
\(572\) | −1.01046 | + | 0.767310i | −0.0422496 | + | 0.0320829i | ||||
\(573\) | −0.582235 | + | 1.00846i | −0.0243232 | + | 0.0421290i | ||||
\(574\) | 4.98108 | − | 5.53205i | 0.207906 | − | 0.230903i | ||||
\(575\) | 4.19664 | − | 1.86846i | 0.175012 | − | 0.0779203i | ||||
\(576\) | −2.34105 | − | 1.04230i | −0.0975436 | − | 0.0434292i | ||||
\(577\) | 6.80872 | − | 20.9551i | 0.283451 | − | 0.872371i | −0.703408 | − | 0.710786i | \(-0.748339\pi\) |
0.986859 | − | 0.161585i | \(-0.0516607\pi\) | |||||||
\(578\) | 11.9867 | − | 36.8913i | 0.498581 | − | 1.53447i | ||||
\(579\) | −2.85462 | − | 1.27096i | −0.118634 | − | 0.0528192i | ||||
\(580\) | 0.692562 | − | 6.58929i | 0.0287571 | − | 0.273605i | ||||
\(581\) | −2.34810 | − | 7.22672i | −0.0974157 | − | 0.299815i | ||||
\(582\) | −9.87175 | −0.409197 | ||||||||
\(583\) | 2.23332 | − | 4.06437i | 0.0924947 | − | 0.168329i | ||||
\(584\) | −6.42194 | + | 11.1231i | −0.265742 | + | 0.460278i | ||||
\(585\) | −1.27708 | + | 1.41835i | −0.0528009 | + | 0.0586414i | ||||
\(586\) | −3.84660 | + | 1.71262i | −0.158902 | + | 0.0707475i | ||||
\(587\) | −2.19829 | − | 20.9154i | −0.0907333 | − | 0.863270i | −0.941338 | − | 0.337465i | \(-0.890431\pi\) |
0.850605 | − | 0.525805i | \(-0.176236\pi\) | |||||||
\(588\) | 1.30980 | − | 4.03117i | 0.0540154 | − | 0.166242i | ||||
\(589\) | −25.9243 | − | 33.2638i | −1.06819 | − | 1.37061i | ||||
\(590\) | 14.3292 | − | 10.4108i | 0.589925 | − | 0.428606i | ||||
\(591\) | −15.1094 | + | 6.72714i | −0.621518 | + | 0.276718i | ||||
\(592\) | −6.75311 | − | 1.43542i | −0.277551 | − | 0.0589953i | ||||
\(593\) | −2.28129 | − | 3.95131i | −0.0936814 | − | 0.162261i | 0.815376 | − | 0.578932i | \(-0.196530\pi\) |
−0.909058 | + | 0.416671i | \(0.863197\pi\) | |||||||
\(594\) | −3.52425 | + | 11.6815i | −0.144602 | + | 0.479299i | ||||
\(595\) | 5.59019 | + | 9.68250i | 0.229176 | + | 0.396944i | ||||
\(596\) | 2.03136 | + | 6.25189i | 0.0832078 | + | 0.256087i | ||||
\(597\) | −10.3615 | − | 7.52804i | −0.424066 | − | 0.308102i | ||||
\(598\) | 1.32718 | + | 0.590897i | 0.0542722 | + | 0.0241636i | ||||
\(599\) | 26.6698 | − | 5.66883i | 1.08970 | − | 0.231622i | 0.372178 | − | 0.928161i | \(-0.378611\pi\) |
0.717519 | + | 0.696539i | \(0.245278\pi\) | |||||||
\(600\) | 0.247222 | − | 0.760872i | 0.0100928 | − | 0.0310625i | ||||
\(601\) | 6.22058 | − | 4.51952i | 0.253743 | − | 0.184355i | −0.453641 | − | 0.891184i | \(-0.649875\pi\) |
0.707384 | + | 0.706829i | \(0.249875\pi\) | |||||||
\(602\) | −0.527142 | + | 5.01542i | −0.0214847 | + | 0.204413i | ||||
\(603\) | 3.05397 | + | 0.649142i | 0.124367 | + | 0.0264351i | ||||
\(604\) | 2.16407 | + | 3.74829i | 0.0880549 | + | 0.152516i | ||||
\(605\) | −19.9150 | − | 7.87546i | −0.809661 | − | 0.320183i | ||||
\(606\) | −2.24366 | + | 3.88613i | −0.0911423 | + | 0.157863i | ||||
\(607\) | −7.78942 | − | 23.9734i | −0.316163 | − | 0.973049i | −0.975273 | − | 0.221003i | \(-0.929067\pi\) |
0.659110 | − | 0.752046i | \(-0.270933\pi\) | |||||||
\(608\) | 3.33575 | + | 2.80585i | 0.135282 | + | 0.113792i | ||||
\(609\) | 1.39999 | − | 1.01715i | 0.0567305 | − | 0.0412171i | ||||
\(610\) | 10.6544 | + | 11.8329i | 0.431383 | + | 0.479100i | ||||
\(611\) | −2.59450 | − | 2.88149i | −0.104962 | − | 0.116573i | ||||
\(612\) | −17.4859 | − | 7.78521i | −0.706824 | − | 0.314698i | ||||
\(613\) | −29.2146 | + | 13.0072i | −1.17997 | + | 0.525355i | −0.900523 | − | 0.434807i | \(-0.856816\pi\) |
−0.279443 | + | 0.960162i | \(0.590150\pi\) | |||||||
\(614\) | −9.51582 | + | 10.5684i | −0.384027 | + | 0.426505i | ||||
\(615\) | 12.4668 | 0.502708 | ||||||||
\(616\) | 2.48249 | − | 0.582800i | 0.100022 | − | 0.0234817i | ||||
\(617\) | 5.65616 | + | 9.79676i | 0.227709 | + | 0.394403i | 0.957129 | − | 0.289663i | \(-0.0935433\pi\) |
−0.729420 | + | 0.684066i | \(0.760210\pi\) | |||||||
\(618\) | −7.94749 | + | 8.82658i | −0.319695 | + | 0.355057i | ||||
\(619\) | 0.515342 | + | 0.374418i | 0.0207133 | + | 0.0150491i | 0.598094 | − | 0.801426i | \(-0.295925\pi\) |
−0.577380 | + | 0.816475i | \(0.695925\pi\) | |||||||
\(620\) | 15.2389 | − | 11.0717i | 0.612008 | − | 0.444650i | ||||
\(621\) | 13.6657 | − | 2.90474i | 0.548387 | − | 0.116563i | ||||
\(622\) | −14.8971 | − | 16.5449i | −0.597320 | − | 0.663391i | ||||
\(623\) | 12.5007 | + | 5.56568i | 0.500830 | + | 0.222984i | ||||
\(624\) | 0.231133 | − | 0.102907i | 0.00925274 | − | 0.00411958i | ||||
\(625\) | 17.1063 | + | 3.63605i | 0.684251 | + | 0.145442i | ||||
\(626\) | 3.05306 | 0.122025 | ||||||||
\(627\) | 5.18740 | − | 8.03174i | 0.207165 | − | 0.320757i | ||||
\(628\) | −23.2431 | −0.927500 | ||||||||
\(629\) | −50.4407 | − | 10.7215i | −2.01120 | − | 0.427494i | ||||
\(630\) | 3.50420 | − | 1.56017i | 0.139611 | − | 0.0621587i | ||||
\(631\) | 29.9329 | + | 13.3270i | 1.19161 | + | 0.530539i | 0.904134 | − | 0.427249i | \(-0.140517\pi\) |
0.287476 | + | 0.957788i | \(0.407184\pi\) | |||||||
\(632\) | −0.401693 | − | 0.446126i | −0.0159785 | − | 0.0177459i | ||||
\(633\) | 12.8062 | − | 2.72203i | 0.508999 | − | 0.108191i | ||||
\(634\) | −19.7375 | + | 14.3401i | −0.783877 | + | 0.569520i | ||||
\(635\) | −22.7284 | − | 16.5132i | −0.901950 | − | 0.655305i | ||||
\(636\) | −0.618793 | + | 0.687240i | −0.0245367 | + | 0.0272508i | ||||
\(637\) | −1.22586 | − | 2.12325i | −0.0485704 | − | 0.0841264i | ||||
\(638\) | −10.4060 | − | 4.37178i | −0.411979 | − | 0.173080i | ||||
\(639\) | −19.8290 | −0.784423 | ||||||||
\(640\) | −1.30272 | + | 1.44681i | −0.0514944 | + | 0.0571903i | ||||
\(641\) | 5.87699 | − | 2.61660i | 0.232127 | − | 0.103350i | −0.287377 | − | 0.957817i | \(-0.592783\pi\) |
0.519504 | + | 0.854468i | \(0.326117\pi\) | |||||||
\(642\) | −7.45588 | − | 3.31957i | −0.294260 | − | 0.131013i | ||||
\(643\) | 5.78611 | + | 6.42612i | 0.228182 | + | 0.253422i | 0.846354 | − | 0.532621i | \(-0.178793\pi\) |
−0.618172 | + | 0.786043i | \(0.712126\pi\) | |||||||
\(644\) | −1.95371 | − | 2.16981i | −0.0769869 | − | 0.0855026i | ||||
\(645\) | −6.83269 | + | 4.96424i | −0.269037 | + | 0.195467i | ||||
\(646\) | 24.9156 | + | 20.9576i | 0.980290 | + | 0.824565i | ||||
\(647\) | −13.9150 | − | 42.8260i | −0.547055 | − | 1.68366i | −0.716053 | − | 0.698046i | \(-0.754053\pi\) |
0.168998 | − | 0.985616i | \(-0.445947\pi\) | |||||||
\(648\) | −2.62733 | + | 4.55067i | −0.103211 | + | 0.178767i | ||||
\(649\) | −9.92884 | − | 28.4929i | −0.389741 | − | 1.11844i | ||||
\(650\) | −0.231378 | − | 0.400759i | −0.00907540 | − | 0.0157191i | ||||
\(651\) | 4.81220 | + | 1.02286i | 0.188605 | + | 0.0400892i | ||||
\(652\) | −0.402388 | + | 3.82847i | −0.0157587 | + | 0.149934i | ||||
\(653\) | −14.1371 | + | 10.2712i | −0.553228 | + | 0.401944i | −0.828974 | − | 0.559287i | \(-0.811075\pi\) |
0.275746 | + | 0.961231i | \(0.411075\pi\) | |||||||
\(654\) | 2.32029 | − | 7.14110i | 0.0907303 | − | 0.279239i | ||||
\(655\) | −17.2698 | + | 3.67081i | −0.674787 | + | 0.143430i | ||||
\(656\) | 8.84509 | + | 3.93809i | 0.345343 | + | 0.153756i | ||||
\(657\) | 26.6277 | + | 19.3461i | 1.03884 | + | 0.754765i | ||||
\(658\) | 2.40811 | + | 7.41140i | 0.0938779 | + | 0.288926i | ||||
\(659\) | 7.15874 | + | 12.3993i | 0.278865 | + | 0.483009i | 0.971103 | − | 0.238661i | \(-0.0767084\pi\) |
−0.692238 | + | 0.721669i | \(0.743375\pi\) | |||||||
\(660\) | 3.50721 | + | 2.43651i | 0.136518 | + | 0.0948410i | ||||
\(661\) | 23.6626 | + | 40.9848i | 0.920368 | + | 1.59412i | 0.798847 | + | 0.601535i | \(0.205444\pi\) |
0.121521 | + | 0.992589i | \(0.461223\pi\) | |||||||
\(662\) | −0.272158 | − | 0.0578490i | −0.0105777 | − | 0.00224837i | ||||
\(663\) | 1.72639 | − | 0.768640i | 0.0670476 | − | 0.0298515i | ||||
\(664\) | 7.99562 | − | 5.80916i | 0.310290 | − | 0.225439i | ||||
\(665\) | −6.46222 | + | 0.900307i | −0.250594 | + | 0.0349124i | ||||
\(666\) | −5.46716 | + | 16.8262i | −0.211848 | + | 0.652001i | ||||
\(667\) | 1.35091 | + | 12.8531i | 0.0523076 | + | 0.497674i | ||||
\(668\) | −1.72596 | + | 0.768449i | −0.0667796 | + | 0.0297322i | ||||
\(669\) | 9.54789 | − | 10.6040i | 0.369143 | − | 0.409975i | ||||
\(670\) | 1.18601 | − | 2.05424i | 0.0458198 | − | 0.0793621i | ||||
\(671\) | 24.5413 | − | 11.5544i | 0.947407 | − | 0.446054i | ||||
\(672\) | −0.508491 | −0.0196154 | ||||||||
\(673\) | −4.70148 | − | 14.4697i | −0.181229 | − | 0.557764i | 0.818634 | − | 0.574315i | \(-0.194732\pi\) |
−0.999863 | + | 0.0165506i | \(0.994732\pi\) | |||||||
\(674\) | 1.56399 | − | 14.8803i | 0.0602425 | − | 0.573170i | ||||
\(675\) | −4.06549 | − | 1.81007i | −0.156481 | − | 0.0696698i | ||||
\(676\) | −3.97200 | + | 12.2246i | −0.152769 | + | 0.470175i | ||||
\(677\) | −12.4066 | + | 38.1837i | −0.476826 | + | 1.46752i | 0.366653 | + | 0.930358i | \(0.380503\pi\) |
−0.843479 | + | 0.537162i | \(0.819497\pi\) | |||||||
\(678\) | 1.78030 | + | 0.792639i | 0.0683719 | + | 0.0304411i | ||||
\(679\) | 10.4839 | − | 4.66772i | 0.402334 | − | 0.179131i | ||||
\(680\) | −9.73033 | + | 10.8066i | −0.373141 | + | 0.414415i | ||||
\(681\) | 4.14750 | − | 7.18368i | 0.158933 | − | 0.275279i | ||||
\(682\) | −10.5591 | − | 30.3017i | −0.404330 | − | 1.16031i | ||||
\(683\) | 18.3648 | 0.702710 | 0.351355 | − | 0.936242i | \(-0.385721\pi\) | ||||
0.351355 | + | 0.936242i | \(0.385721\pi\) | |||||||
\(684\) | 8.04438 | − | 7.74976i | 0.307585 | − | 0.296319i | ||||
\(685\) | −16.1736 | − | 11.7508i | −0.617960 | − | 0.448974i | ||||
\(686\) | 1.07762 | + | 10.2529i | 0.0411439 | + | 0.391458i | ||||
\(687\) | 6.13352 | + | 6.81197i | 0.234009 | + | 0.259893i | ||||
\(688\) | −6.41589 | + | 1.36374i | −0.244603 | + | 0.0519921i | ||||
\(689\) | 0.0559135 | + | 0.531981i | 0.00213013 | + | 0.0202669i | ||||
\(690\) | 0.511122 | − | 4.86300i | 0.0194581 | − | 0.185131i | ||||
\(691\) | 1.51888 | + | 4.67462i | 0.0577808 | + | 0.177831i | 0.975781 | − | 0.218748i | \(-0.0701973\pi\) |
−0.918001 | + | 0.396579i | \(0.870197\pi\) | |||||||
\(692\) | 5.16577 | 0.196373 | ||||||||
\(693\) | −0.820329 | − | 6.48287i | −0.0311617 | − | 0.246264i | ||||
\(694\) | 2.50481 | + | 4.33846i | 0.0950813 | + | 0.164686i | ||||
\(695\) | −10.1102 | − | 31.1160i | −0.383501 | − | 1.18030i | ||||
\(696\) | 1.82090 | + | 1.32296i | 0.0690209 | + | 0.0501466i | ||||
\(697\) | 66.0662 | + | 29.4146i | 2.50244 | + | 1.11416i | ||||
\(698\) | 10.9737 | + | 12.1875i | 0.415359 | + | 0.461303i | ||||
\(699\) | −13.3190 | + | 2.83103i | −0.503770 | + | 0.107080i | ||||
\(700\) | 0.0972160 | + | 0.924949i | 0.00367442 | + | 0.0349598i | ||||
\(701\) | −3.22840 | + | 1.43737i | −0.121935 | + | 0.0542889i | −0.466797 | − | 0.884364i | \(-0.654592\pi\) |
0.344862 | + | 0.938653i | \(0.387926\pi\) | |||||||
\(702\) | −0.434903 | − | 1.33849i | −0.0164143 | − | 0.0505181i | ||||
\(703\) | 16.8581 | − | 24.9287i | 0.635816 | − | 0.940202i | ||||
\(704\) | 1.71868 | + | 2.83657i | 0.0647753 | + | 0.106907i | ||||
\(705\) | −6.52537 | + | 11.3023i | −0.245760 | + | 0.425668i | ||||
\(706\) | −11.9065 | − | 2.53081i | −0.448108 | − | 0.0952483i | ||||
\(707\) | 0.545279 | − | 5.18798i | 0.0205073 | − | 0.195114i | ||||
\(708\) | 0.628932 | + | 5.98388i | 0.0236367 | + | 0.224888i | ||||
\(709\) | −11.2390 | + | 2.38892i | −0.422089 | + | 0.0897178i | −0.414059 | − | 0.910250i | \(-0.635889\pi\) |
−0.00802980 | + | 0.999968i | \(0.502556\pi\) | |||||||
\(710\) | −4.65524 | + | 14.3274i | −0.174708 | + | 0.537697i | ||||
\(711\) | −1.24458 | + | 0.904237i | −0.0466752 | + | 0.0339115i | ||||
\(712\) | −1.86037 | + | 17.7002i | −0.0697202 | + | 0.663344i | ||||
\(713\) | −24.5853 | + | 27.3047i | −0.920727 | + | 1.02257i | ||||
\(714\) | −3.79805 | −0.142138 | ||||||||
\(715\) | 2.40478 | − | 0.564557i | 0.0899337 | − | 0.0211132i | ||||
\(716\) | 1.19095 | + | 2.06278i | 0.0445077 | + | 0.0770896i | ||||
\(717\) | 12.8721 | + | 2.73605i | 0.480717 | + | 0.102179i | ||||
\(718\) | −0.189969 | + | 1.80744i | −0.00708960 | + | 0.0674530i | ||||
\(719\) | −0.241425 | − | 2.29700i | −0.00900362 | − | 0.0856638i | 0.989097 | − | 0.147263i | \(-0.0470465\pi\) |
−0.998101 | + | 0.0615996i | \(0.980380\pi\) | |||||||
\(720\) | 3.33833 | + | 3.70760i | 0.124412 | + | 0.138174i | ||||
\(721\) | 4.26677 | − | 13.1318i | 0.158903 | − | 0.489053i | ||||
\(722\) | −16.7973 | + | 8.87971i | −0.625132 | + | 0.330469i | ||||
\(723\) | 4.43817 | + | 3.22452i | 0.165057 | + | 0.119921i | ||||
\(724\) | 14.7655 | + | 3.13850i | 0.548756 | + | 0.116642i | ||||
\(725\) | 2.05834 | − | 3.56516i | 0.0764450 | − | 0.132407i | ||||
\(726\) | 5.69954 | − | 4.52122i | 0.211530 | − | 0.167798i | ||||
\(727\) | 4.05612 | − | 7.02541i | 0.150433 | − | 0.260558i | −0.780954 | − | 0.624589i | \(-0.785266\pi\) |
0.931387 | + | 0.364031i | \(0.118600\pi\) | |||||||
\(728\) | −0.196807 | + | 0.218576i | −0.00729416 | + | 0.00810098i | ||||
\(729\) | 4.98859 | + | 3.62442i | 0.184762 | + | 0.134238i | ||||
\(730\) | 20.2299 | − | 14.6979i | 0.748741 | − | 0.543992i | ||||
\(731\) | −47.9219 | + | 10.1861i | −1.77246 | + | 0.376747i | ||||
\(732\) | −5.29084 | + | 1.12460i | −0.195555 | + | 0.0415666i | ||||
\(733\) | 9.51795 | − | 6.91519i | 0.351553 | − | 0.255419i | −0.397967 | − | 0.917400i | \(-0.630284\pi\) |
0.749520 | + | 0.661981i | \(0.230284\pi\) | |||||||
\(734\) | 10.7359 | + | 7.80011i | 0.396271 | + | 0.287907i | ||||
\(735\) | −5.52172 | + | 6.13249i | −0.203672 | + | 0.226200i | ||||
\(736\) | 1.89880 | − | 3.28881i | 0.0699906 | − | 0.121227i | ||||
\(737\) | −2.76679 | − | 2.94512i | −0.101916 | − | 0.108485i | ||||
\(738\) | 12.4057 | − | 21.4873i | 0.456661 | − | 0.790959i | ||||
\(739\) | 14.7689 | + | 3.13923i | 0.543284 | + | 0.115479i | 0.471375 | − | 0.881933i | \(-0.343758\pi\) |
0.0719085 | + | 0.997411i | \(0.477091\pi\) | |||||||
\(740\) | 10.8742 | + | 7.90055i | 0.399743 | + | 0.290430i | ||||
\(741\) | 0.0371668 | + | 1.10220i | 0.00136536 | + | 0.0404905i | ||||
\(742\) | 0.332212 | − | 1.02244i | 0.0121959 | − | 0.0375350i | ||||
\(743\) | −8.60434 | − | 9.55609i | −0.315663 | − | 0.350579i | 0.564344 | − | 0.825539i | \(-0.309129\pi\) |
−0.880007 | + | 0.474961i | \(0.842462\pi\) | |||||||
\(744\) | 0.668857 | + | 6.36375i | 0.0245215 | + | 0.233306i | ||||
\(745\) | 1.33776 | − | 12.7280i | 0.0490118 | − | 0.466316i | ||||
\(746\) | −10.2806 | − | 2.18521i | −0.376400 | − | 0.0800063i | ||||
\(747\) | −12.6632 | − | 21.9333i | −0.463323 | − | 0.802499i | ||||
\(748\) | 12.8373 | + | 21.1871i | 0.469378 | + | 0.774676i | ||||
\(749\) | 9.48782 | 0.346677 | ||||||||
\(750\) | −5.35008 | + | 5.94187i | −0.195357 | + | 0.216966i | ||||
\(751\) | 3.98505 | − | 37.9152i | 0.145416 | − | 1.38354i | −0.641802 | − | 0.766870i | \(-0.721813\pi\) |
0.787218 | − | 0.616674i | \(-0.211520\pi\) | |||||||
\(752\) | −8.19995 | + | 5.95761i | −0.299022 | + | 0.217252i | ||||
\(753\) | 2.94783 | − | 9.07248i | 0.107425 | − | 0.330619i | ||||
\(754\) | 1.27344 | − | 0.270678i | 0.0463760 | − | 0.00985752i | ||||
\(755\) | −0.880797 | − | 8.38022i | −0.0320555 | − | 0.304987i | ||||
\(756\) | −0.295661 | + | 2.81303i | −0.0107531 | + | 0.102309i | ||||
\(757\) | −22.1981 | − | 4.71835i | −0.806803 | − | 0.171491i | −0.213994 | − | 0.976835i | \(-0.568647\pi\) |
−0.592808 | + | 0.805344i | \(0.701981\pi\) | |||||||
\(758\) | −12.3666 | + | 21.4197i | −0.449177 | + | 0.777997i | ||||
\(759\) | −7.67983 | − | 3.22645i | −0.278760 | − | 0.117113i | ||||
\(760\) | −3.71098 | − | 7.63185i | −0.134611 | − | 0.276836i | ||||
\(761\) | 4.22762 | + | 13.0113i | 0.153251 | + | 0.471659i | 0.997980 | − | 0.0635366i | \(-0.0202380\pi\) |
−0.844728 | + | 0.535195i | \(0.820238\pi\) | |||||||
\(762\) | 8.71857 | − | 3.88176i | 0.315840 | − | 0.140621i | ||||
\(763\) | 0.912413 | + | 8.68103i | 0.0330316 | + | 0.314274i | ||||
\(764\) | 1.72223 | − | 0.366070i | 0.0623079 | − | 0.0132440i | ||||
\(765\) | 24.9349 | + | 27.6930i | 0.901522 | + | 1.00124i | ||||
\(766\) | 0.799095 | + | 0.355780i | 0.0288725 | + | 0.0128549i | ||||
\(767\) | 2.81562 | + | 2.04567i | 0.101666 | + | 0.0738647i | ||||
\(768\) | −0.204374 | − | 0.628997i | −0.00737470 | − | 0.0226970i | ||||
\(769\) | −18.3312 | − | 31.7506i | −0.661041 | − | 1.14496i | −0.980342 | − | 0.197303i | \(-0.936782\pi\) |
0.319301 | − | 0.947653i | \(-0.396552\pi\) | |||||||
\(770\) | −4.87676 | − | 0.929254i | −0.175746 | − | 0.0334880i | ||||
\(771\) | 7.09413 | 0.255489 | ||||||||
\(772\) | 1.46002 | + | 4.49347i | 0.0525472 | + | 0.161724i | ||||
\(773\) | 0.683818 | − | 6.50609i | 0.0245952 | − | 0.234008i | −0.975318 | − | 0.220806i | \(-0.929131\pi\) |
0.999913 | − | 0.0132013i | \(-0.00420224\pi\) | |||||||
\(774\) | 1.75698 | + | 16.7165i | 0.0631533 | + | 0.600864i | ||||
\(775\) | 11.4478 | − | 2.43331i | 0.411219 | − | 0.0874072i | ||||
\(776\) | 9.98763 | + | 11.0924i | 0.358535 | + | 0.398194i | ||||
\(777\) | 0.366959 | + | 3.49138i | 0.0131646 | + | 0.125252i | ||||
\(778\) | −9.59301 | − | 6.96973i | −0.343926 | − | 0.249877i | ||||
\(779\) | −30.3938 | + | 29.2806i | −1.08897 | + | 1.04909i | ||||
\(780\) | −0.492574 | −0.0176370 | ||||||||
\(781\) | 21.0766 | + | 14.6422i | 0.754181 | + | 0.523940i | ||||
\(782\) | 14.1826 | − | 24.5650i | 0.507169 | − | 0.878442i | ||||
\(783\) | 8.37752 | − | 9.30418i | 0.299388 | − | 0.332504i | ||||
\(784\) | −5.85480 | + | 2.60672i | −0.209100 | + | 0.0930973i | ||||
\(785\) | 41.3393 | + | 18.4054i | 1.47546 | + | 0.656918i | ||||
\(786\) | 1.85340 | − | 5.70418i | 0.0661086 | − | 0.203461i | ||||
\(787\) | −5.31655 | + | 16.3626i | −0.189514 | + | 0.583265i | −0.999997 | − | 0.00249751i | \(-0.999205\pi\) |
0.810482 | + | 0.585763i | \(0.199205\pi\) | |||||||
\(788\) | 22.8457 | + | 10.1716i | 0.813845 | + | 0.362347i | ||||
\(789\) | 0.460410 | − | 4.38051i | 0.0163910 | − | 0.155950i | ||||
\(790\) | 0.361165 | + | 1.11155i | 0.0128497 | + | 0.0395472i | ||||
\(791\) | −2.26548 | −0.0805512 | ||||||||
\(792\) | 7.68953 | − | 3.62035i | 0.273235 | − | 0.128643i | ||||
\(793\) | −1.56436 | + | 2.70956i | −0.0555522 | + | 0.0962192i | ||||
\(794\) | −7.03713 | + | 7.81552i | −0.249738 | + | 0.277363i | ||||
\(795\) | 1.64477 | − | 0.732297i | 0.0583338 | − | 0.0259719i | ||||
\(796\) | 2.02421 | + | 19.2591i | 0.0717462 | + | 0.682619i | ||||
\(797\) | −8.63909 | + | 26.5884i | −0.306012 | + | 0.941809i | 0.673285 | + | 0.739383i | \(0.264883\pi\) |
−0.979298 | + | 0.202426i | \(0.935117\pi\) | |||||||
\(798\) | 0.832763 | − | 2.05407i | 0.0294795 | − | 0.0727132i | ||||
\(799\) | −61.2475 | + | 44.4989i | −2.16678 | + | 1.57426i | ||||
\(800\) | −1.10508 | + | 0.492013i | −0.0390704 | + | 0.0173953i | ||||
\(801\) | 44.6117 | + | 9.48250i | 1.57628 | + | 0.335048i | ||||
\(802\) | 13.3929 | + | 23.1972i | 0.472920 | + | 0.819122i | ||||
\(803\) | −14.0174 | − | 40.2260i | −0.494664 | − | 1.41954i | ||||
\(804\) | 0.402897 | + | 0.697837i | 0.0142091 | + | 0.0246108i | ||||
\(805\) | 1.75659 | + | 5.40623i | 0.0619116 | + | 0.190544i | ||||
\(806\) | 2.99436 | + | 2.17553i | 0.105472 | + | 0.0766297i | ||||
\(807\) | 3.30622 | + | 1.47202i | 0.116385 | + | 0.0518177i | ||||
\(808\) | 6.63664 | − | 1.41066i | 0.233476 | − | 0.0496269i | ||||
\(809\) | 8.89199 | − | 27.3667i | 0.312626 | − | 0.962163i | −0.664095 | − | 0.747648i | \(-0.731183\pi\) |
0.976721 | − | 0.214515i | \(-0.0688171\pi\) | |||||||
\(810\) | 8.27641 | − | 6.01316i | 0.290803 | − | 0.211281i | ||||
\(811\) | 3.28227 | − | 31.2287i | 0.115256 | − | 1.09659i | −0.772099 | − | 0.635502i | \(-0.780793\pi\) |
0.887355 | − | 0.461087i | \(-0.152540\pi\) | |||||||
\(812\) | −2.55935 | − | 0.544006i | −0.0898155 | − | 0.0190909i | ||||
\(813\) | −3.72049 | − | 6.44408i | −0.130483 | − | 0.226004i | ||||
\(814\) | 18.2360 | − | 13.8478i | 0.639172 | − | 0.485365i | ||||
\(815\) | 3.74731 | − | 6.49053i | 0.131263 | − | 0.227353i | ||||
\(816\) | −1.52652 | − | 4.69814i | −0.0534389 | − | 0.164468i | ||||
\(817\) | 4.99853 | − | 28.1507i | 0.174876 | − | 0.984867i | ||||
\(818\) | 20.4761 | − | 14.8767i | 0.715929 | − | 0.520153i | ||||
\(819\) | 0.504337 | + | 0.560123i | 0.0176230 | + | 0.0195723i | ||||
\(820\) | −12.6131 | − | 14.0083i | −0.440469 | − | 0.489190i | ||||
\(821\) | −11.1853 | − | 4.98004i | −0.390371 | − | 0.173805i | 0.202159 | − | 0.979353i | \(-0.435204\pi\) |
−0.592530 | + | 0.805548i | \(0.701871\pi\) | |||||||
\(822\) | 6.20414 | − | 2.76226i | 0.216394 | − | 0.0963449i | ||||
\(823\) | 24.5061 | − | 27.2168i | 0.854229 | − | 0.948717i | −0.144942 | − | 0.989440i | \(-0.546299\pi\) |
0.999170 | + | 0.0407230i | \(0.0129661\pi\) | |||||||
\(824\) | 17.9588 | 0.625623 | ||||||||
\(825\) | 1.37500 | + | 2.26934i | 0.0478712 | + | 0.0790082i | ||||
\(826\) | −3.49733 | − | 6.05755i | −0.121688 | − | 0.210769i | ||||
\(827\) | 22.1174 | − | 24.5639i | 0.769099 | − | 0.854171i | −0.223614 | − | 0.974678i | \(-0.571785\pi\) |
0.992712 | + | 0.120507i | \(0.0384521\pi\) | |||||||
\(828\) | −7.87310 | − | 5.72014i | −0.273609 | − | 0.198789i | ||||
\(829\) | −30.9812 | + | 22.5091i | −1.07602 | + | 0.781774i | −0.976985 | − | 0.213309i | \(-0.931576\pi\) |
−0.0990355 | + | 0.995084i | \(0.531576\pi\) | |||||||
\(830\) | −18.8208 | + | 4.00048i | −0.653279 | + | 0.138859i | ||||
\(831\) | 4.40190 | + | 4.88880i | 0.152700 | + | 0.169591i | ||||
\(832\) | −0.349478 | − | 0.155598i | −0.0121160 | − | 0.00539438i | ||||
\(833\) | −43.7310 | + | 19.4703i | −1.51519 | + | 0.674605i | ||||
\(834\) | 10.8714 | + | 2.31078i | 0.376445 | + | 0.0800159i | ||||
\(835\) | 3.67825 | 0.127291 | ||||||||
\(836\) | −14.2732 | + | 2.29720i | −0.493647 | + | 0.0794502i | ||||
\(837\) | 35.5939 | 1.23031 | ||||||||
\(838\) | 15.0918 | + | 3.20787i | 0.521339 | + | 0.110814i | ||||
\(839\) | −33.6399 | + | 14.9775i | −1.16138 | + | 0.517079i | −0.894683 | − | 0.446702i | \(-0.852599\pi\) |
−0.266696 | + | 0.963781i | \(0.585932\pi\) | |||||||
\(840\) | 0.904383 | + | 0.402657i | 0.0312042 | + | 0.0138930i | ||||
\(841\) | −11.6552 | − | 12.9444i | −0.401902 | − | 0.446358i | ||||
\(842\) | −31.6100 | + | 6.71890i | −1.08935 | + | 0.231549i | ||||
\(843\) | −0.334806 | + | 0.243251i | −0.0115313 | + | 0.00837800i | ||||
\(844\) | −16.0151 | − | 11.6356i | −0.551262 | − | 0.400516i | ||||
\(845\) | 16.7447 | − | 18.5968i | 0.576034 | − | 0.639751i | ||||
\(846\) | 12.9868 | + | 22.4939i | 0.446497 | + | 0.773355i | ||||
\(847\) | −3.91517 | + | 7.49652i | −0.134527 | + | 0.257583i | ||||
\(848\) | 1.39827 | 0.0480169 | ||||||||
\(849\) | −9.20409 | + | 10.2222i | −0.315883 | + | 0.350824i | ||||
\(850\) | −8.25411 | + | 3.67497i | −0.283114 | + | 0.126050i | ||||
\(851\) | −23.9518 | − | 10.6640i | −0.821057 | − | 0.365558i | ||||
\(852\) | −3.42432 | − | 3.80309i | −0.117315 | − | 0.130292i | ||||
\(853\) | −29.8040 | − | 33.1007i | −1.02047 | − | 1.13334i | −0.991011 | − | 0.133779i | \(-0.957289\pi\) |
−0.0294572 | − | 0.999566i | \(-0.509378\pi\) | |||||||
\(854\) | 5.08717 | − | 3.69604i | 0.174079 | − | 0.126476i | ||||
\(855\) | −20.4442 | + | 7.41334i | −0.699178 | + | 0.253531i | ||||
\(856\) | 3.81337 | + | 11.7363i | 0.130338 | + | 0.401140i | ||||
\(857\) | −4.07424 | + | 7.05679i | −0.139173 | + | 0.241055i | −0.927184 | − | 0.374606i | \(-0.877778\pi\) |
0.788011 | + | 0.615662i | \(0.211111\pi\) | |||||||
\(858\) | −0.242370 | + | 0.803364i | −0.00827437 | + | 0.0274264i | ||||
\(859\) | −6.47397 | − | 11.2132i | −0.220889 | − | 0.382591i | 0.734189 | − | 0.678945i | \(-0.237562\pi\) |
−0.955078 | + | 0.296354i | \(0.904229\pi\) | |||||||
\(860\) | 12.4910 | + | 2.65504i | 0.425938 | + | 0.0905360i | ||||
\(861\) | 0.514623 | − | 4.89631i | 0.0175383 | − | 0.166866i | ||||
\(862\) | −26.7146 | + | 19.4093i | −0.909904 | + | 0.661084i | ||||
\(863\) | 1.76507 | − | 5.43232i | 0.0600836 | − | 0.184918i | −0.916510 | − | 0.400012i | \(-0.869006\pi\) |
0.976593 | + | 0.215094i | \(0.0690058\pi\) | |||||||
\(864\) | −3.59852 | + | 0.764890i | −0.122424 | + | 0.0260221i | ||||
\(865\) | −9.18764 | − | 4.09060i | −0.312389 | − | 0.139085i | ||||
\(866\) | 0.443989 | + | 0.322577i | 0.0150874 | + | 0.0109616i | ||||
\(867\) | −7.92761 | − | 24.3987i | −0.269236 | − | 0.828622i | ||||
\(868\) | −3.71935 | − | 6.44210i | −0.126243 | − | 0.218659i | ||||
\(869\) | 1.99060 | − | 0.0421060i | 0.0675263 | − | 0.00142835i | ||||
\(870\) | −2.19097 | − | 3.79487i | −0.0742809 | − | 0.128658i | ||||
\(871\) | 0.455906 | + | 0.0969058i | 0.0154478 | + | 0.00328353i | ||||
\(872\) | −10.3716 | + | 4.61774i | −0.351227 | + | 0.156377i | ||||
\(873\) | 30.9449 | − | 22.4828i | 1.04733 | − | 0.760927i | ||||
\(874\) | 10.1756 | + | 13.0564i | 0.344195 | + | 0.441640i | ||||
\(875\) | 2.87230 | − | 8.84003i | 0.0971014 | − | 0.298847i | ||||
\(876\) | 0.887919 | + | 8.44798i | 0.0300000 | + | 0.285431i | ||||
\(877\) | −2.41236 | + | 1.07405i | −0.0814596 | + | 0.0362682i | −0.447062 | − | 0.894503i | \(-0.647530\pi\) |
0.365602 | + | 0.930771i | \(0.380863\pi\) | |||||||
\(878\) | 14.9066 | − | 16.5555i | 0.503074 | − | 0.558720i | ||||
\(879\) | −1.39238 | + | 2.41168i | −0.0469640 | + | 0.0813440i | ||||
\(880\) | −0.810601 | − | 6.40599i | −0.0273254 | − | 0.215946i | ||||
\(881\) | −38.2054 | −1.28717 | −0.643587 | − | 0.765373i | \(-0.722554\pi\) | ||||
−0.643587 | + | 0.765373i | \(0.722554\pi\) | |||||||
\(882\) | 5.07509 | + | 15.6195i | 0.170887 | + | 0.525937i | ||||
\(883\) | 1.18234 | − | 11.2492i | 0.0397889 | − | 0.378566i | −0.956449 | − | 0.291901i | \(-0.905712\pi\) |
0.996238 | − | 0.0866651i | \(-0.0276210\pi\) | |||||||
\(884\) | −2.61034 | − | 1.16220i | −0.0877953 | − | 0.0390890i | ||||
\(885\) | 3.61985 | − | 11.1407i | 0.121680 | − | 0.374492i | ||||
\(886\) | −2.88300 | + | 8.87298i | −0.0968564 | + | 0.298093i | ||||
\(887\) | 2.90009 | + | 1.29120i | 0.0973756 | + | 0.0433544i | 0.454846 | − | 0.890570i | \(-0.349694\pi\) |
−0.357471 | + | 0.933924i | \(0.616361\pi\) | |||||||
\(888\) | −4.17131 | + | 1.85719i | −0.139980 | + | 0.0623231i | ||||
\(889\) | −7.42375 | + | 8.24491i | −0.248985 | + | 0.276526i | ||||
\(890\) | 17.3250 | − | 30.0078i | 0.580736 | − | 1.00586i | ||||
\(891\) | −5.73479 | − | 16.4572i | −0.192123 | − | 0.551336i | ||||
\(892\) | −21.5752 | −0.722390 | ||||||||
\(893\) | −10.6368 | − | 42.8809i | −0.355948 | − | 1.43496i | ||||
\(894\) | 3.51727 | + | 2.55544i | 0.117635 | + | 0.0854668i | ||||
\(895\) | −0.484725 | − | 4.61185i | −0.0162026 | − | 0.154157i | ||||
\(896\) | 0.514459 | + | 0.571365i | 0.0171869 | + | 0.0190880i | ||||
\(897\) | 0.939821 | − | 0.199765i | 0.0313797 | − | 0.00666996i | ||||
\(898\) | −0.0539901 | − | 0.513681i | −0.00180167 | − | 0.0171418i | ||||
\(899\) | −3.44172 | + | 32.7458i | −0.114788 | + | 1.09213i | ||||
\(900\) | 0.957911 | + | 2.94815i | 0.0319304 | + | 0.0982715i | ||||
\(901\) | 10.4441 | 0.347942 | ||||||||
\(902\) | −29.0531 | + | 13.6786i | −0.967361 | + | 0.455448i | ||||
\(903\) | 1.66765 | + | 2.88846i | 0.0554960 | + | 0.0961218i | ||||
\(904\) | −0.910546 | − | 2.80237i | −0.0302843 | − | 0.0932056i | ||||
\(905\) | −23.7761 | − | 17.2743i | −0.790344 | − | 0.574219i | ||||
\(906\) | 2.61502 | + | 1.16428i | 0.0868782 | + | 0.0386807i | ||||
\(907\) | 37.8006 | + | 41.9818i | 1.25515 | + | 1.39398i | 0.885387 | + | 0.464854i | \(0.153893\pi\) |
0.369760 | + | 0.929127i | \(0.379440\pi\) | |||||||
\(908\) | −12.2681 | + | 2.60767i | −0.407132 | + | 0.0865386i | ||||
\(909\) | −1.81743 | − | 17.2917i | −0.0602804 | − | 0.573530i | ||||
\(910\) | 0.523118 | − | 0.232907i | 0.0173412 | − | 0.00772079i | ||||
\(911\) | −2.05464 | − | 6.32353i | −0.0680733 | − | 0.209508i | 0.911233 | − | 0.411891i | \(-0.135131\pi\) |
−0.979306 | + | 0.202383i | \(0.935131\pi\) | |||||||
\(912\) | 2.87557 | + | 0.204544i | 0.0952195 | + | 0.00677313i | ||||
\(913\) | −2.73614 | + | 32.6642i | −0.0905529 | + | 1.08103i | ||||
\(914\) | 2.13381 | − | 3.69586i | 0.0705801 | − | 0.122248i | ||||
\(915\) | 10.3006 | + | 2.18947i | 0.340529 | + | 0.0723816i | ||||
\(916\) | 1.44874 | − | 13.7839i | 0.0478678 | − | 0.455432i | ||||
\(917\) | 0.728818 | + | 6.93424i | 0.0240677 | + | 0.228989i | ||||
\(918\) | −26.8783 | + | 5.71316i | −0.887116 | + | 0.188562i | ||||
\(919\) | 0.0993105 | − | 0.305646i | 0.00327595 | − | 0.0100823i | −0.949405 | − | 0.314054i | \(-0.898313\pi\) |
0.952681 | + | 0.303971i | \(0.0983128\pi\) | |||||||
\(920\) | −5.98143 | + | 4.34577i | −0.197202 | + | 0.143276i | ||||
\(921\) | −0.983133 | + | 9.35389i | −0.0323953 | + | 0.308221i | ||||
\(922\) | −10.7315 | + | 11.9186i | −0.353424 | + | 0.392518i | ||||
\(923\) | −2.96013 | −0.0974338 | ||||||||
\(924\) | 1.10171 | − | 1.27688i | 0.0362437 | − | 0.0420062i | ||||
\(925\) | 4.17573 | + | 7.23258i | 0.137297 | + | 0.237806i | ||||
\(926\) | 3.73986 | + | 0.794932i | 0.122899 | + | 0.0261231i | ||||
\(927\) | 4.81051 | − | 45.7689i | 0.157998 | − | 1.50325i | ||||
\(928\) | −0.355729 | − | 3.38454i | −0.0116774 | − | 0.111103i | ||||
\(929\) | 15.8415 | + | 17.5937i | 0.519742 | + | 0.577232i | 0.944681 | − | 0.327990i | \(-0.106371\pi\) |
−0.424939 | + | 0.905222i | \(0.639705\pi\) | |||||||
\(930\) | 3.84964 | − | 11.8480i | 0.126235 | − | 0.388511i | ||||
\(931\) | −0.941467 | − | 27.9198i | −0.0308553 | − | 0.915033i | ||||
\(932\) | 16.6564 | + | 12.1016i | 0.545599 | + | 0.396401i | ||||
\(933\) | −14.4025 | − | 3.06135i | −0.471517 | − | 0.100224i | ||||
\(934\) | −13.0083 | + | 22.5310i | −0.425644 | + | 0.737237i | ||||
\(935\) | −6.05459 | − | 47.8480i | −0.198006 | − | 1.56480i | ||||
\(936\) | −0.490162 | + | 0.848985i | −0.0160214 | + | 0.0277499i | ||||
\(937\) | −14.6137 | + | 16.2301i | −0.477408 | + | 0.530216i | −0.932953 | − | 0.359997i | \(-0.882778\pi\) |
0.455545 | + | 0.890213i | \(0.349444\pi\) | |||||||
\(938\) | −0.757842 | − | 0.550605i | −0.0247444 | − | 0.0179779i | ||||
\(939\) | 1.63356 | − | 1.18685i | 0.0533093 | − | 0.0387315i | ||||
\(940\) | 19.3018 | − | 4.10272i | 0.629554 | − | 0.133816i | ||||
\(941\) | −50.4975 | + | 10.7336i | −1.64617 | + | 0.349904i | −0.935419 | − | 0.353540i | \(-0.884978\pi\) |
−0.710751 | + | 0.703444i | \(0.751645\pi\) | |||||||
\(942\) | −12.4364 | + | 9.03556i | −0.405199 | + | 0.294394i | ||||
\(943\) | 29.7467 | + | 21.6122i | 0.968684 | + | 0.703790i | ||||
\(944\) | 6.08748 | − | 6.76083i | 0.198130 | − | 0.220046i | ||||
\(945\) | 2.75340 | − | 4.76903i | 0.0895681 | − | 0.155137i | ||||
\(946\) | 10.4764 | − | 19.0658i | 0.340617 | − | 0.619881i | ||||
\(947\) | 10.4730 | − | 18.1398i | 0.340327 | − | 0.589464i | −0.644166 | − | 0.764886i | \(-0.722796\pi\) |
0.984493 | + | 0.175422i | \(0.0561288\pi\) | |||||||
\(948\) | −0.388357 | − | 0.0825478i | −0.0126132 | − | 0.00268103i | ||||
\(949\) | 3.97506 | + | 2.88805i | 0.129036 | + | 0.0937500i | ||||
\(950\) | −0.177700 | − | 5.26979i | −0.00576533 | − | 0.170974i | ||||
\(951\) | −4.98609 | + | 15.3456i | −0.161685 | + | 0.497615i | ||||
\(952\) | 3.84263 | + | 4.26767i | 0.124540 | + | 0.138316i | ||||
\(953\) | −2.36569 | − | 22.5081i | −0.0766324 | − | 0.729108i | −0.963613 | − | 0.267302i | \(-0.913868\pi\) |
0.886981 | − | 0.461807i | \(-0.152799\pi\) | |||||||
\(954\) | 0.374547 | − | 3.56358i | 0.0121264 | − | 0.115375i | ||||
\(955\) | −3.35297 | − | 0.712695i | −0.108499 | − | 0.0230623i | ||||
\(956\) | −9.94883 | − | 17.2319i | −0.321768 | − | 0.557319i | ||||
\(957\) | −7.26731 | + | 1.70611i | −0.234919 | + | 0.0551506i | ||||
\(958\) | 26.2683 | 0.848689 | ||||||||
\(959\) | −5.28275 | + | 5.86709i | −0.170589 | + | 0.189458i | ||||
\(960\) | −0.134591 | + | 1.28055i | −0.00434391 | + | 0.0413295i | ||||
\(961\) | −50.6508 | + | 36.8000i | −1.63390 | + | 1.18710i | ||||
\(962\) | −0.816153 | + | 2.51186i | −0.0263138 | + | 0.0809856i | ||||
\(963\) | 30.9322 | − | 6.57483i | 0.996775 | − | 0.211871i | ||||
\(964\) | −0.867039 | − | 8.24932i | −0.0279254 | − | 0.265693i | ||||
\(965\) | 0.961500 | − | 9.14806i | 0.0309518 | − | 0.294486i | ||||
\(966\) | −1.88884 | − | 0.401486i | −0.0607725 | − | 0.0129176i | ||||
\(967\) | 23.3712 | − | 40.4801i | 0.751566 | − | 1.30175i | −0.195497 | − | 0.980704i | \(-0.562632\pi\) |
0.947063 | − | 0.321047i | \(-0.104035\pi\) | |||||||
\(968\) | −10.8467 | − | 1.83000i | −0.348626 | − | 0.0588185i | ||||
\(969\) | 21.4783 | + | 1.52779i | 0.689984 | + | 0.0490797i | ||||
\(970\) | −8.97993 | − | 27.6374i | −0.288328 | − | 0.887383i | ||||
\(971\) | 12.6510 | − | 5.63260i | 0.405991 | − | 0.180759i | −0.193573 | − | 0.981086i | \(-0.562008\pi\) |
0.599563 | + | 0.800327i | \(0.295341\pi\) | |||||||
\(972\) | 1.51692 | + | 14.4325i | 0.0486552 | + | 0.462923i | ||||
\(973\) | −12.6381 | + | 2.68631i | −0.405159 | + | 0.0861193i | ||||
\(974\) | 2.01707 | + | 2.24019i | 0.0646312 | + | 0.0717802i | ||||
\(975\) | −0.279592 | − | 0.124483i | −0.00895412 | − | 0.00398663i | ||||
\(976\) | 6.61661 | + | 4.80725i | 0.211793 | + | 0.153876i | ||||
\(977\) | −5.11197 | − | 15.7330i | −0.163547 | − | 0.503344i | 0.835380 | − | 0.549673i | \(-0.185248\pi\) |
−0.998926 | + | 0.0463289i | \(0.985248\pi\) | |||||||
\(978\) | 1.27298 | + | 2.20487i | 0.0407056 | + | 0.0705041i | ||||
\(979\) | −40.4165 | − | 43.0215i | −1.29172 | − | 1.37497i | ||||
\(980\) | 12.4773 | 0.398573 | ||||||||
\(981\) | 8.99039 | + | 27.6696i | 0.287041 | + | 0.883422i | ||||
\(982\) | −3.71223 | + | 35.3195i | −0.118462 | + | 1.12709i | ||||
\(983\) | −0.880072 | − | 8.37332i | −0.0280699 | − | 0.267068i | −0.999551 | − | 0.0299518i | \(-0.990465\pi\) |
0.971481 | − | 0.237116i | \(-0.0762021\pi\) | |||||||
\(984\) | 6.26353 | − | 1.33135i | 0.199674 | − | 0.0424420i | ||||
\(985\) | −32.5780 | − | 36.1816i | −1.03802 | − | 1.15284i | ||||
\(986\) | −2.65703 | − | 25.2800i | −0.0846171 | − | 0.805078i | ||||
\(987\) | 4.16960 | + | 3.02939i | 0.132720 | + | 0.0964266i | ||||
\(988\) | 1.20089 | − | 1.15691i | 0.0382054 | − | 0.0368061i | ||||
\(989\) | −24.9093 | −0.792069 | ||||||||
\(990\) | −16.5431 | + | 0.349928i | −0.525776 | + | 0.0111215i | ||||
\(991\) | −13.8941 | + | 24.0654i | −0.441362 | + | 0.764461i | −0.997791 | − | 0.0664339i | \(-0.978838\pi\) |
0.556429 | + | 0.830895i | \(0.312171\pi\) | |||||||
\(992\) | 6.47392 | − | 7.19001i | 0.205547 | − | 0.228283i | ||||
\(993\) | −0.168109 | + | 0.0748467i | −0.00533476 | + | 0.00237519i | ||||
\(994\) | 5.43490 | + | 2.41977i | 0.172385 | + | 0.0767505i | ||||
\(995\) | 11.6504 | − | 35.8563i | 0.369344 | − | 1.13672i | ||||
\(996\) | 2.01985 | − | 6.21646i | 0.0640014 | − | 0.196976i | ||||
\(997\) | 36.0419 | + | 16.0469i | 1.14146 | + | 0.508210i | 0.888322 | − | 0.459221i | \(-0.151871\pi\) |
0.253136 | + | 0.967431i | \(0.418538\pi\) | |||||||
\(998\) | 0.498933 | − | 4.74703i | 0.0157934 | − | 0.150265i | ||||
\(999\) | 7.84877 | + | 24.1560i | 0.248324 | + | 0.764263i |
(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 | 418.2.n.e.49.5 | ✓ | 72 | |
11.9 | even | 5 | inner | 418.2.n.e.163.5 | yes | 72 | |
19.7 | even | 3 | inner | 418.2.n.e.159.5 | yes | 72 | |
209.64 | even | 15 | inner | 418.2.n.e.273.5 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.n.e.49.5 | ✓ | 72 | 1.1 | even | 1 | trivial | |
418.2.n.e.159.5 | yes | 72 | 19.7 | even | 3 | inner | |
418.2.n.e.163.5 | yes | 72 | 11.9 | even | 5 | inner | |
418.2.n.e.273.5 | yes | 72 | 209.64 | even | 15 | inner |