Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(29,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.w (of order \(10\), degree \(4\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.3 | ||
Character | \(\chi\) | \(=\) | 462.29 |
Dual form | 462.2.w.b.239.3 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | −1.35082 | + | 1.08410i | −0.779899 | + | 0.625906i | ||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 1.96876 | + | 2.70976i | 0.880456 | + | 1.21184i | 0.976294 | + | 0.216447i | \(0.0694468\pi\) |
−0.0958385 | + | 0.995397i | \(0.530553\pi\) | |||||||
\(6\) | −1.73006 | + | 0.0830614i | −0.706293 | + | 0.0339097i | ||||
\(7\) | 0.951057 | − | 0.309017i | 0.359466 | − | 0.116797i | ||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | 0.649451 | − | 2.92886i | 0.216484 | − | 0.976286i | ||||
\(10\) | 3.34945i | 1.05919i | ||||||||
\(11\) | 3.09211 | + | 1.19953i | 0.932305 | + | 0.361672i | ||||
\(12\) | −1.44847 | − | 0.949704i | −0.418137 | − | 0.274156i | ||||
\(13\) | −1.74405 | + | 2.40048i | −0.483714 | + | 0.665775i | −0.979213 | − | 0.202834i | \(-0.934985\pi\) |
0.495500 | + | 0.868608i | \(0.334985\pi\) | |||||||
\(14\) | 0.951057 | + | 0.309017i | 0.254181 | + | 0.0825883i | ||||
\(15\) | −5.59711 | − | 1.52608i | −1.44517 | − | 0.394033i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 1.58988 | − | 1.15511i | 0.385602 | − | 0.280156i | −0.378049 | − | 0.925786i | \(-0.623405\pi\) |
0.763651 | + | 0.645629i | \(0.223405\pi\) | |||||||
\(18\) | 2.24696 | − | 1.98776i | 0.529613 | − | 0.468519i | ||||
\(19\) | −5.05108 | − | 1.64119i | −1.15880 | − | 0.376516i | −0.334346 | − | 0.942450i | \(-0.608515\pi\) |
−0.824450 | + | 0.565935i | \(0.808515\pi\) | |||||||
\(20\) | −1.96876 | + | 2.70976i | −0.440228 | + | 0.605922i | ||||
\(21\) | −0.949704 | + | 1.44847i | −0.207243 | + | 0.316082i | ||||
\(22\) | 1.79650 | + | 2.78794i | 0.383015 | + | 0.594390i | ||||
\(23\) | − | 3.29064i | − | 0.686145i | −0.939309 | − | 0.343073i | \(-0.888532\pi\) | ||
0.939309 | − | 0.343073i | \(-0.111468\pi\) | |||||||
\(24\) | −0.613613 | − | 1.61972i | −0.125253 | − | 0.330623i | ||||
\(25\) | −1.92173 | + | 5.91447i | −0.384345 | + | 1.18289i | ||||
\(26\) | −2.82194 | + | 0.916903i | −0.553428 | + | 0.179820i | ||||
\(27\) | 2.29788 | + | 4.66044i | 0.442228 | + | 0.896903i | ||||
\(28\) | 0.587785 | + | 0.809017i | 0.111081 | + | 0.152890i | ||||
\(29\) | 0.984118 | + | 3.02880i | 0.182746 | + | 0.562435i | 0.999902 | − | 0.0139816i | \(-0.00445061\pi\) |
−0.817156 | + | 0.576416i | \(0.804451\pi\) | |||||||
\(30\) | −3.63114 | − | 4.52452i | −0.662953 | − | 0.826061i | ||||
\(31\) | −5.28711 | − | 3.84131i | −0.949593 | − | 0.689920i | 0.00111724 | − | 0.999999i | \(-0.499644\pi\) |
−0.950711 | + | 0.310079i | \(0.899644\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −5.47730 | + | 1.73180i | −0.953476 | + | 0.301468i | ||||
\(34\) | 1.96520 | 0.337029 | ||||||||
\(35\) | 2.70976 | + | 1.96876i | 0.458034 | + | 0.332781i | ||||
\(36\) | 2.98620 | − | 0.287402i | 0.497700 | − | 0.0479004i | ||||
\(37\) | −0.250519 | − | 0.771018i | −0.0411851 | − | 0.126755i | 0.928350 | − | 0.371707i | \(-0.121228\pi\) |
−0.969535 | + | 0.244953i | \(0.921228\pi\) | |||||||
\(38\) | −3.12174 | − | 4.29670i | −0.506413 | − | 0.697017i | ||||
\(39\) | −0.246457 | − | 5.13336i | −0.0394647 | − | 0.821996i | ||||
\(40\) | −3.18552 | + | 1.03504i | −0.503675 | + | 0.163654i | ||||
\(41\) | −2.61320 | + | 8.04261i | −0.408113 | + | 1.25604i | 0.510154 | + | 0.860083i | \(0.329588\pi\) |
−0.918267 | + | 0.395961i | \(0.870412\pi\) | |||||||
\(42\) | −1.61972 | + | 0.613613i | −0.249928 | + | 0.0946826i | ||||
\(43\) | − | 6.94527i | − | 1.05914i | −0.848265 | − | 0.529572i | \(-0.822353\pi\) | ||
0.848265 | − | 0.529572i | \(-0.177647\pi\) | |||||||
\(44\) | −0.185308 | + | 3.31144i | −0.0279362 | + | 0.499219i | ||||
\(45\) | 9.21513 | − | 4.00636i | 1.37371 | − | 0.597233i | ||||
\(46\) | 1.93419 | − | 2.66218i | 0.285181 | − | 0.392517i | ||||
\(47\) | 4.03556 | + | 1.31123i | 0.588646 | + | 0.191263i | 0.588170 | − | 0.808737i | \(-0.299848\pi\) |
0.000476052 | 1.00000i | \(0.499848\pi\) | ||||||||
\(48\) | 0.455621 | − | 1.67105i | 0.0657633 | − | 0.241195i | ||||
\(49\) | 0.809017 | − | 0.587785i | 0.115574 | − | 0.0839693i | ||||
\(50\) | −5.03115 | + | 3.65534i | −0.711511 | + | 0.516943i | ||||
\(51\) | −0.895385 | + | 3.28394i | −0.125379 | + | 0.459844i | ||||
\(52\) | −2.82194 | − | 0.916903i | −0.391332 | − | 0.127152i | ||||
\(53\) | 7.18083 | − | 9.88356i | 0.986363 | − | 1.35761i | 0.0530322 | − | 0.998593i | \(-0.483111\pi\) |
0.933330 | − | 0.359019i | \(-0.116889\pi\) | |||||||
\(54\) | −0.880313 | + | 5.12104i | −0.119795 | + | 0.696885i | ||||
\(55\) | 2.83717 | + | 10.7405i | 0.382564 | + | 1.44824i | ||||
\(56\) | 1.00000i | 0.133631i | ||||||||
\(57\) | 8.60233 | − | 3.25891i | 1.13941 | − | 0.431653i | ||||
\(58\) | −0.984118 | + | 3.02880i | −0.129221 | + | 0.397702i | ||||
\(59\) | 6.46724 | − | 2.10133i | 0.841962 | − | 0.273570i | 0.143887 | − | 0.989594i | \(-0.454040\pi\) |
0.698076 | + | 0.716024i | \(0.254040\pi\) | |||||||
\(60\) | −0.278210 | − | 5.79475i | −0.0359168 | − | 0.748099i | ||||
\(61\) | 9.05317 | + | 12.4606i | 1.15914 | + | 1.59542i | 0.714361 | + | 0.699778i | \(0.246718\pi\) |
0.444779 | + | 0.895640i | \(0.353282\pi\) | |||||||
\(62\) | −2.01950 | − | 6.21537i | −0.256476 | − | 0.789353i | ||||
\(63\) | −0.287402 | − | 2.98620i | −0.0362093 | − | 0.376226i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −9.93837 | −1.23270 | ||||||||
\(66\) | −5.44916 | − | 1.81842i | −0.670745 | − | 0.223832i | ||||
\(67\) | −0.291541 | −0.0356175 | −0.0178087 | − | 0.999841i | \(-0.505669\pi\) | ||||
−0.0178087 | + | 0.999841i | \(0.505669\pi\) | |||||||
\(68\) | 1.58988 | + | 1.15511i | 0.192801 | + | 0.140078i | ||||
\(69\) | 3.56738 | + | 4.44507i | 0.429462 | + | 0.535124i | ||||
\(70\) | 1.03504 | + | 3.18552i | 0.123711 | + | 0.380742i | ||||
\(71\) | −5.37987 | − | 7.40476i | −0.638473 | − | 0.878783i | 0.360060 | − | 0.932929i | \(-0.382756\pi\) |
−0.998533 | + | 0.0541460i | \(0.982756\pi\) | |||||||
\(72\) | 2.58482 | + | 1.52273i | 0.304624 | + | 0.179456i | ||||
\(73\) | 12.3912 | − | 4.02614i | 1.45028 | − | 0.471224i | 0.525193 | − | 0.850983i | \(-0.323993\pi\) |
0.925086 | + | 0.379759i | \(0.123993\pi\) | |||||||
\(74\) | 0.250519 | − | 0.771018i | 0.0291222 | − | 0.0896290i | ||||
\(75\) | −3.81596 | − | 10.0727i | −0.440629 | − | 1.16310i | ||||
\(76\) | − | 5.31102i | − | 0.609215i | ||||||
\(77\) | 3.31144 | + | 0.185308i | 0.377374 | + | 0.0211178i | ||||
\(78\) | 2.81793 | − | 4.29784i | 0.319067 | − | 0.486635i | ||||
\(79\) | 0.656580 | − | 0.903705i | 0.0738710 | − | 0.101675i | −0.770483 | − | 0.637461i | \(-0.779985\pi\) |
0.844354 | + | 0.535786i | \(0.179985\pi\) | |||||||
\(80\) | −3.18552 | − | 1.03504i | −0.356152 | − | 0.115721i | ||||
\(81\) | −8.15643 | − | 3.80430i | −0.906270 | − | 0.422700i | ||||
\(82\) | −6.84145 | + | 4.97060i | −0.755512 | + | 0.548911i | ||||
\(83\) | 0.505739 | − | 0.367441i | 0.0555120 | − | 0.0403319i | −0.559683 | − | 0.828707i | \(-0.689077\pi\) |
0.615195 | + | 0.788375i | \(0.289077\pi\) | |||||||
\(84\) | −1.67105 | − | 0.455621i | −0.182327 | − | 0.0497123i | ||||
\(85\) | 6.26017 | + | 2.03405i | 0.679011 | + | 0.220624i | ||||
\(86\) | 4.08233 | − | 5.61884i | 0.440209 | − | 0.605896i | ||||
\(87\) | −4.61290 | − | 3.02450i | −0.494555 | − | 0.324260i | ||||
\(88\) | −2.09634 | + | 2.57009i | −0.223470 | + | 0.273973i | ||||
\(89\) | − | 8.89950i | − | 0.943345i | −0.881774 | − | 0.471672i | \(-0.843650\pi\) | ||
0.881774 | − | 0.471672i | \(-0.156350\pi\) | |||||||
\(90\) | 9.81008 | + | 2.17531i | 1.03407 | + | 0.229297i | ||||
\(91\) | −0.916903 | + | 2.82194i | −0.0961176 | + | 0.295820i | ||||
\(92\) | 3.12958 | − | 1.01686i | 0.326282 | − | 0.106015i | ||||
\(93\) | 11.3063 | − | 0.542826i | 1.17241 | − | 0.0562884i | ||||
\(94\) | 2.49411 | + | 3.43285i | 0.257248 | + | 0.354071i | ||||
\(95\) | −5.49710 | − | 16.9183i | −0.563991 | − | 1.73579i | ||||
\(96\) | 1.35082 | − | 1.08410i | 0.137868 | − | 0.110646i | ||||
\(97\) | −7.11192 | − | 5.16711i | −0.722106 | − | 0.524641i | 0.164950 | − | 0.986302i | \(-0.447254\pi\) |
−0.887056 | + | 0.461661i | \(0.847254\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 5.52143 | − | 8.27731i | 0.554924 | − | 0.831901i | ||||
\(100\) | −6.21884 | −0.621884 | ||||||||
\(101\) | 13.3152 | + | 9.67404i | 1.32491 | + | 0.962603i | 0.999857 | + | 0.0169069i | \(0.00538188\pi\) |
0.325052 | + | 0.945696i | \(0.394618\pi\) | |||||||
\(102\) | −2.65464 | + | 2.13047i | −0.262848 | + | 0.210948i | ||||
\(103\) | −3.29384 | − | 10.1374i | −0.324552 | − | 0.998867i | −0.971643 | − | 0.236454i | \(-0.924015\pi\) |
0.647091 | − | 0.762413i | \(-0.275985\pi\) | |||||||
\(104\) | −1.74405 | − | 2.40048i | −0.171019 | − | 0.235387i | ||||
\(105\) | −5.79475 | + | 0.278210i | −0.565510 | + | 0.0271506i | ||||
\(106\) | 11.6188 | − | 3.77518i | 1.12852 | − | 0.366678i | ||||
\(107\) | 0.120130 | − | 0.369723i | 0.0116134 | − | 0.0357425i | −0.945082 | − | 0.326834i | \(-0.894018\pi\) |
0.956695 | + | 0.291091i | \(0.0940183\pi\) | |||||||
\(108\) | −3.72226 | + | 3.62557i | −0.358175 | + | 0.348871i | ||||
\(109\) | 0.316649i | 0.0303294i | 0.999885 | + | 0.0151647i | \(0.00482726\pi\) | ||||
−0.999885 | + | 0.0151647i | \(0.995173\pi\) | |||||||
\(110\) | −4.01777 | + | 10.3569i | −0.383080 | + | 0.987489i | ||||
\(111\) | 1.17427 | + | 0.769922i | 0.111457 | + | 0.0730778i | ||||
\(112\) | −0.587785 | + | 0.809017i | −0.0555405 | + | 0.0764449i | ||||
\(113\) | −17.7799 | − | 5.77704i | −1.67259 | − | 0.543458i | −0.689140 | − | 0.724628i | \(-0.742012\pi\) |
−0.983452 | + | 0.181170i | \(0.942012\pi\) | |||||||
\(114\) | 8.87497 | + | 2.41981i | 0.831217 | + | 0.226636i | ||||
\(115\) | 8.91685 | − | 6.47847i | 0.831501 | − | 0.604121i | ||||
\(116\) | −2.57646 | + | 1.87190i | −0.239218 | + | 0.173802i | ||||
\(117\) | 5.89800 | + | 6.66709i | 0.545270 | + | 0.616372i | ||||
\(118\) | 6.46724 | + | 2.10133i | 0.595357 | + | 0.193443i | ||||
\(119\) | 1.15511 | − | 1.58988i | 0.105889 | − | 0.145744i | ||||
\(120\) | 3.18099 | − | 4.85158i | 0.290383 | − | 0.442886i | ||||
\(121\) | 8.12225 | + | 7.41816i | 0.738387 | + | 0.674378i | ||||
\(122\) | 15.4022i | 1.39445i | ||||||||
\(123\) | −5.18902 | − | 13.6971i | −0.467878 | − | 1.23503i | ||||
\(124\) | 2.01950 | − | 6.21537i | 0.181356 | − | 0.558157i | ||||
\(125\) | −3.88263 | + | 1.26154i | −0.347273 | + | 0.112836i | ||||
\(126\) | 1.52273 | − | 2.58482i | 0.135656 | − | 0.230274i | ||||
\(127\) | 8.33877 | + | 11.4773i | 0.739946 | + | 1.01845i | 0.998622 | + | 0.0524841i | \(0.0167139\pi\) |
−0.258676 | + | 0.965964i | \(0.583286\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | 7.52938 | + | 9.38184i | 0.662925 | + | 0.826025i | ||||
\(130\) | −8.04031 | − | 5.84163i | −0.705182 | − | 0.512345i | ||||
\(131\) | −7.35577 | −0.642677 | −0.321339 | − | 0.946964i | \(-0.604133\pi\) | ||||
−0.321339 | + | 0.946964i | \(0.604133\pi\) | |||||||
\(132\) | −3.33962 | − | 4.67407i | −0.290677 | − | 0.406826i | ||||
\(133\) | −5.31102 | −0.460523 | ||||||||
\(134\) | −0.235862 | − | 0.171364i | −0.0203754 | − | 0.0148036i | ||||
\(135\) | −8.10473 | + | 15.4020i | −0.697544 | + | 1.32559i | ||||
\(136\) | 0.607279 | + | 1.86901i | 0.0520738 | + | 0.160267i | ||||
\(137\) | 9.75835 | + | 13.4312i | 0.833713 | + | 1.14751i | 0.987221 | + | 0.159359i | \(0.0509429\pi\) |
−0.153508 | + | 0.988147i | \(0.549057\pi\) | |||||||
\(138\) | 0.273325 | + | 5.69299i | 0.0232670 | + | 0.484620i | ||||
\(139\) | −15.3443 | + | 4.98567i | −1.30149 | + | 0.422879i | −0.876099 | − | 0.482131i | \(-0.839863\pi\) |
−0.425390 | + | 0.905010i | \(0.639863\pi\) | |||||||
\(140\) | −1.03504 | + | 3.18552i | −0.0874767 | + | 0.269226i | ||||
\(141\) | −6.87283 | + | 2.60371i | −0.578797 | + | 0.219272i | ||||
\(142\) | − | 9.15279i | − | 0.768085i | ||||||
\(143\) | −8.27226 | + | 5.33051i | −0.691761 | + | 0.445759i | ||||
\(144\) | 1.19612 | + | 2.75123i | 0.0996769 | + | 0.229270i | ||||
\(145\) | −6.26986 | + | 8.62972i | −0.520683 | + | 0.716659i | ||||
\(146\) | 12.3912 | + | 4.02614i | 1.02550 | + | 0.333206i | ||||
\(147\) | −0.455621 | + | 1.67105i | −0.0375790 | + | 0.137826i | ||||
\(148\) | 0.655867 | − | 0.476515i | 0.0539119 | − | 0.0391693i | ||||
\(149\) | −8.85496 | + | 6.43351i | −0.725427 | + | 0.527053i | −0.888113 | − | 0.459624i | \(-0.847984\pi\) |
0.162687 | + | 0.986678i | \(0.447984\pi\) | |||||||
\(150\) | 2.83343 | − | 10.3920i | 0.231349 | − | 0.848503i | ||||
\(151\) | 13.5674 | + | 4.40833i | 1.10410 | + | 0.358745i | 0.803680 | − | 0.595062i | \(-0.202872\pi\) |
0.300422 | + | 0.953806i | \(0.402872\pi\) | |||||||
\(152\) | 3.12174 | − | 4.29670i | 0.253206 | − | 0.348509i | ||||
\(153\) | −2.35062 | − | 5.40672i | −0.190036 | − | 0.437107i | ||||
\(154\) | 2.57009 | + | 2.09634i | 0.207104 | + | 0.168928i | ||||
\(155\) | − | 21.8894i | − | 1.75820i | ||||||
\(156\) | 4.80596 | − | 1.82069i | 0.384785 | − | 0.145772i | ||||
\(157\) | 6.23366 | − | 19.1852i | 0.497500 | − | 1.53115i | −0.315524 | − | 0.948918i | \(-0.602180\pi\) |
0.813024 | − | 0.582230i | \(-0.197820\pi\) | |||||||
\(158\) | 1.06237 | − | 0.345184i | 0.0845175 | − | 0.0274614i | ||||
\(159\) | 1.01474 | + | 21.1357i | 0.0804742 | + | 1.67617i | ||||
\(160\) | −1.96876 | − | 2.70976i | −0.155644 | − | 0.214226i | ||||
\(161\) | −1.01686 | − | 3.12958i | −0.0801400 | − | 0.246646i | ||||
\(162\) | −4.36257 | − | 7.87197i | −0.342756 | − | 0.618481i | ||||
\(163\) | 4.79493 | + | 3.48372i | 0.375568 | + | 0.272866i | 0.759516 | − | 0.650488i | \(-0.225436\pi\) |
−0.383948 | + | 0.923355i | \(0.625436\pi\) | |||||||
\(164\) | −8.45650 | −0.660341 | ||||||||
\(165\) | −15.4763 | − | 11.4327i | −1.20483 | − | 0.890035i | ||||
\(166\) | 0.625127 | 0.0485193 | ||||||||
\(167\) | 3.55491 | + | 2.58279i | 0.275087 | + | 0.199862i | 0.716772 | − | 0.697308i | \(-0.245619\pi\) |
−0.441685 | + | 0.897170i | \(0.645619\pi\) | |||||||
\(168\) | −1.08410 | − | 1.35082i | −0.0836402 | − | 0.104218i | ||||
\(169\) | 1.29662 | + | 3.99059i | 0.0997400 | + | 0.306968i | ||||
\(170\) | 3.86900 | + | 5.32522i | 0.296739 | + | 0.408426i | ||||
\(171\) | −8.08725 | + | 13.7280i | −0.618448 | + | 1.04981i | ||||
\(172\) | 6.60535 | − | 2.14621i | 0.503653 | − | 0.163647i | ||||
\(173\) | −0.709968 | + | 2.18506i | −0.0539779 | + | 0.166127i | −0.974411 | − | 0.224773i | \(-0.927836\pi\) |
0.920433 | + | 0.390900i | \(0.127836\pi\) | |||||||
\(174\) | −1.95416 | − | 5.15827i | −0.148144 | − | 0.391047i | ||||
\(175\) | 6.21884i | 0.470100i | ||||||||
\(176\) | −3.20663 | + | 0.847054i | −0.241709 | + | 0.0638491i | ||||
\(177\) | −6.45804 | + | 9.84967i | −0.485416 | + | 0.740346i | ||||
\(178\) | 5.23099 | − | 7.19984i | 0.392080 | − | 0.539651i | ||||
\(179\) | 12.5257 | + | 4.06984i | 0.936214 | + | 0.304194i | 0.737101 | − | 0.675782i | \(-0.236194\pi\) |
0.199113 | + | 0.979977i | \(0.436194\pi\) | |||||||
\(180\) | 6.65790 | + | 7.52608i | 0.496251 | + | 0.560961i | ||||
\(181\) | −21.1736 | + | 15.3835i | −1.57382 | + | 1.14345i | −0.650450 | + | 0.759549i | \(0.725420\pi\) |
−0.923374 | + | 0.383901i | \(0.874580\pi\) | |||||||
\(182\) | −2.40048 | + | 1.74405i | −0.177936 | + | 0.129278i | ||||
\(183\) | −25.7378 | − | 7.01755i | −1.90259 | − | 0.518753i | ||||
\(184\) | 3.12958 | + | 1.01686i | 0.230716 | + | 0.0749641i | ||||
\(185\) | 1.59607 | − | 2.19680i | 0.117345 | − | 0.161512i | ||||
\(186\) | 9.46608 | + | 6.20654i | 0.694086 | + | 0.455085i | ||||
\(187\) | 6.30167 | − | 1.66463i | 0.460824 | − | 0.121730i | ||||
\(188\) | 4.24323i | 0.309470i | ||||||||
\(189\) | 3.62557 | + | 3.72226i | 0.263722 | + | 0.270755i | ||||
\(190\) | 5.49710 | − | 16.9183i | 0.398802 | − | 1.22739i | ||||
\(191\) | 10.3485 | − | 3.36244i | 0.748794 | − | 0.243298i | 0.0903319 | − | 0.995912i | \(-0.471207\pi\) |
0.658462 | + | 0.752614i | \(0.271207\pi\) | |||||||
\(192\) | 1.73006 | − | 0.0830614i | 0.124856 | − | 0.00599444i | ||||
\(193\) | −6.32425 | − | 8.70458i | −0.455229 | − | 0.626569i | 0.518282 | − | 0.855210i | \(-0.326572\pi\) |
−0.973511 | + | 0.228641i | \(0.926572\pi\) | |||||||
\(194\) | −2.71651 | − | 8.36056i | −0.195034 | − | 0.600253i | ||||
\(195\) | 13.4250 | − | 10.7742i | 0.961383 | − | 0.771556i | ||||
\(196\) | 0.809017 | + | 0.587785i | 0.0577869 | + | 0.0419847i | ||||
\(197\) | −5.82706 | −0.415161 | −0.207581 | − | 0.978218i | \(-0.566559\pi\) | ||||
−0.207581 | + | 0.978218i | \(0.566559\pi\) | |||||||
\(198\) | 9.33221 | − | 3.45107i | 0.663211 | − | 0.245257i | ||||
\(199\) | −21.0983 | −1.49562 | −0.747811 | − | 0.663912i | \(-0.768895\pi\) | ||||
−0.747811 | + | 0.663912i | \(0.768895\pi\) | |||||||
\(200\) | −5.03115 | − | 3.65534i | −0.355756 | − | 0.258472i | ||||
\(201\) | 0.393821 | − | 0.316060i | 0.0277780 | − | 0.0222932i | ||||
\(202\) | 5.08594 | + | 15.6529i | 0.357846 | + | 1.10134i | ||||
\(203\) | 1.87190 | + | 2.57646i | 0.131382 | + | 0.180832i | ||||
\(204\) | −3.39990 | + | 0.163232i | −0.238041 | + | 0.0114285i | ||||
\(205\) | −26.9383 | + | 8.75280i | −1.88146 | + | 0.611322i | ||||
\(206\) | 3.29384 | − | 10.1374i | 0.229493 | − | 0.706306i | ||||
\(207\) | −9.63781 | − | 2.13711i | −0.669874 | − | 0.148539i | ||||
\(208\) | − | 2.96716i | − | 0.205736i | ||||||
\(209\) | −13.6498 | − | 11.1337i | −0.944177 | − | 0.770132i | ||||
\(210\) | −4.85158 | − | 3.18099i | −0.334791 | − | 0.219509i | ||||
\(211\) | 10.9320 | − | 15.0466i | 0.752591 | − | 1.03585i | −0.245203 | − | 0.969472i | \(-0.578855\pi\) |
0.997794 | − | 0.0663810i | \(-0.0211453\pi\) | |||||||
\(212\) | 11.6188 | + | 3.77518i | 0.797984 | + | 0.259281i | ||||
\(213\) | 15.2948 | + | 4.17020i | 1.04798 | + | 0.285738i | ||||
\(214\) | 0.314505 | − | 0.228502i | 0.0214991 | − | 0.0156200i | ||||
\(215\) | 18.8201 | − | 13.6736i | 1.28352 | − | 0.932530i | ||||
\(216\) | −5.14243 | + | 0.745261i | −0.349898 | + | 0.0507086i | ||||
\(217\) | −6.21537 | − | 2.01950i | −0.421927 | − | 0.137092i | ||||
\(218\) | −0.186121 | + | 0.256174i | −0.0126057 | + | 0.0173503i | ||||
\(219\) | −12.3736 | + | 18.8719i | −0.836129 | + | 1.27525i | ||||
\(220\) | −9.33806 | + | 6.01730i | −0.629572 | + | 0.405686i | ||||
\(221\) | 5.83106i | 0.392239i | ||||||||
\(222\) | 0.497454 | + | 1.31310i | 0.0333869 | + | 0.0881293i | ||||
\(223\) | −0.294783 | + | 0.907249i | −0.0197401 | + | 0.0607539i | −0.960441 | − | 0.278482i | \(-0.910169\pi\) |
0.940701 | + | 0.339236i | \(0.110169\pi\) | |||||||
\(224\) | −0.951057 | + | 0.309017i | −0.0635451 | + | 0.0206471i | ||||
\(225\) | 16.0746 | + | 9.46962i | 1.07164 | + | 0.631308i | ||||
\(226\) | −10.9886 | − | 15.1245i | −0.730950 | − | 1.00607i | ||||
\(227\) | 0.729476 | + | 2.24510i | 0.0484170 | + | 0.149012i | 0.972342 | − | 0.233561i | \(-0.0750379\pi\) |
−0.923925 | + | 0.382573i | \(0.875038\pi\) | |||||||
\(228\) | 5.75768 | + | 7.17425i | 0.381311 | + | 0.475126i | ||||
\(229\) | −8.10652 | − | 5.88973i | −0.535694 | − | 0.389204i | 0.286789 | − | 0.957994i | \(-0.407412\pi\) |
−0.822483 | + | 0.568789i | \(0.807412\pi\) | |||||||
\(230\) | 11.0218 | 0.726758 | ||||||||
\(231\) | −4.67407 | + | 3.33962i | −0.307531 | + | 0.219731i | ||||
\(232\) | −3.18467 | −0.209084 | ||||||||
\(233\) | 0.248510 | + | 0.180553i | 0.0162804 | + | 0.0118284i | 0.595896 | − | 0.803062i | \(-0.296797\pi\) |
−0.579615 | + | 0.814890i | \(0.696797\pi\) | |||||||
\(234\) | 0.852769 | + | 8.86054i | 0.0557472 | + | 0.579232i | ||||
\(235\) | 4.39191 | + | 13.5169i | 0.286497 | + | 0.881746i | ||||
\(236\) | 3.99697 | + | 5.50136i | 0.260181 | + | 0.358108i | ||||
\(237\) | 0.0927830 | + | 1.93254i | 0.00602690 | + | 0.125532i | ||||
\(238\) | 1.86901 | − | 0.607279i | 0.121150 | − | 0.0393641i | ||||
\(239\) | 5.13577 | − | 15.8063i | 0.332205 | − | 1.02242i | −0.635877 | − | 0.771790i | \(-0.719361\pi\) |
0.968082 | − | 0.250632i | \(-0.0806386\pi\) | |||||||
\(240\) | 5.42516 | − | 2.05527i | 0.350193 | − | 0.132667i | ||||
\(241\) | − | 21.0956i | − | 1.35889i | −0.733727 | − | 0.679445i | \(-0.762221\pi\) | ||
0.733727 | − | 0.679445i | \(-0.237779\pi\) | |||||||
\(242\) | 2.21076 | + | 10.7756i | 0.142113 | + | 0.692679i | ||||
\(243\) | 15.1421 | − | 3.70344i | 0.971369 | − | 0.237576i | ||||
\(244\) | −9.05317 | + | 12.4606i | −0.579570 | + | 0.797709i | ||||
\(245\) | 3.18552 | + | 1.03504i | 0.203515 | + | 0.0661262i | ||||
\(246\) | 3.85296 | − | 14.1312i | 0.245656 | − | 0.900975i | ||||
\(247\) | 12.7490 | − | 9.26270i | 0.811200 | − | 0.589371i | ||||
\(248\) | 5.28711 | − | 3.84131i | 0.335732 | − | 0.243924i | ||||
\(249\) | −0.284821 | + | 1.04462i | −0.0180498 | + | 0.0662001i | ||||
\(250\) | −3.88263 | − | 1.26154i | −0.245559 | − | 0.0797870i | ||||
\(251\) | 1.03236 | − | 1.42092i | 0.0651620 | − | 0.0896878i | −0.775192 | − | 0.631725i | \(-0.782347\pi\) |
0.840354 | + | 0.542038i | \(0.182347\pi\) | |||||||
\(252\) | 2.75123 | − | 1.19612i | 0.173311 | − | 0.0753487i | ||||
\(253\) | 3.94722 | − | 10.1750i | 0.248160 | − | 0.639697i | ||||
\(254\) | 14.1868i | 0.890156i | ||||||||
\(255\) | −10.6615 | + | 4.03901i | −0.667650 | + | 0.252933i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −0.329839 | + | 0.107171i | −0.0205748 | + | 0.00668515i | −0.319286 | − | 0.947658i | \(-0.603443\pi\) |
0.298712 | + | 0.954343i | \(0.403443\pi\) | |||||||
\(258\) | 0.576884 | + | 12.0157i | 0.0359153 | + | 0.748066i | ||||
\(259\) | −0.476515 | − | 0.655867i | −0.0296092 | − | 0.0407536i | ||||
\(260\) | −3.07113 | − | 9.45195i | −0.190463 | − | 0.586185i | ||||
\(261\) | 9.51008 | − | 0.915282i | 0.588659 | − | 0.0566546i | ||||
\(262\) | −5.95095 | − | 4.32362i | −0.367651 | − | 0.267114i | ||||
\(263\) | −21.9124 | −1.35118 | −0.675589 | − | 0.737279i | \(-0.736111\pi\) | ||||
−0.675589 | + | 0.737279i | \(0.736111\pi\) | |||||||
\(264\) | 0.0455402 | − | 5.74438i | 0.00280281 | − | 0.353542i | ||||
\(265\) | 40.9194 | 2.51366 | ||||||||
\(266\) | −4.29670 | − | 3.12174i | −0.263448 | − | 0.191406i | ||||
\(267\) | 9.64795 | + | 12.0217i | 0.590445 | + | 0.735713i | ||||
\(268\) | −0.0900912 | − | 0.277272i | −0.00550320 | − | 0.0169371i | ||||
\(269\) | −17.4600 | − | 24.0316i | −1.06456 | − | 1.46523i | −0.875469 | − | 0.483275i | \(-0.839447\pi\) |
−0.189087 | − | 0.981960i | \(-0.560553\pi\) | |||||||
\(270\) | −15.6099 | + | 7.69665i | −0.949991 | + | 0.468403i | ||||
\(271\) | −27.9268 | + | 9.07396i | −1.69643 | + | 0.551204i | −0.987984 | − | 0.154559i | \(-0.950604\pi\) |
−0.708448 | + | 0.705763i | \(0.750604\pi\) | |||||||
\(272\) | −0.607279 | + | 1.86901i | −0.0368217 | + | 0.113326i | ||||
\(273\) | −1.82069 | − | 4.80596i | −0.110193 | − | 0.290870i | ||||
\(274\) | 16.6019i | 1.00296i | ||||||||
\(275\) | −13.0368 | + | 15.9830i | −0.786147 | + | 0.963811i | ||||
\(276\) | −3.12513 | + | 4.76639i | −0.188111 | + | 0.286903i | ||||
\(277\) | 6.12398 | − | 8.42893i | 0.367954 | − | 0.506445i | −0.584389 | − | 0.811474i | \(-0.698666\pi\) |
0.952343 | + | 0.305028i | \(0.0986658\pi\) | |||||||
\(278\) | −15.3443 | − | 4.98567i | −0.920291 | − | 0.299021i | ||||
\(279\) | −14.6844 | + | 12.9905i | −0.879131 | + | 0.777719i | ||||
\(280\) | −2.70976 | + | 1.96876i | −0.161939 | + | 0.117656i | ||||
\(281\) | −6.91785 | + | 5.02611i | −0.412684 | + | 0.299833i | −0.774688 | − | 0.632344i | \(-0.782093\pi\) |
0.362003 | + | 0.932177i | \(0.382093\pi\) | |||||||
\(282\) | −7.09066 | − | 1.93331i | −0.422243 | − | 0.115127i | ||||
\(283\) | −25.1001 | − | 8.15553i | −1.49205 | − | 0.484796i | −0.554361 | − | 0.832276i | \(-0.687037\pi\) |
−0.937687 | + | 0.347480i | \(0.887037\pi\) | |||||||
\(284\) | 5.37987 | − | 7.40476i | 0.319237 | − | 0.439392i | ||||
\(285\) | 25.7668 | + | 16.8943i | 1.52629 | + | 1.00073i | ||||
\(286\) | −9.82559 | − | 0.549839i | −0.580999 | − | 0.0325126i | ||||
\(287\) | 8.45650i | 0.499171i | ||||||||
\(288\) | −0.649451 | + | 2.92886i | −0.0382693 | + | 0.172585i | ||||
\(289\) | −4.05987 | + | 12.4950i | −0.238816 | + | 0.734999i | ||||
\(290\) | −10.1448 | + | 3.29626i | −0.595726 | + | 0.193563i | ||||
\(291\) | 15.2086 | − | 0.730178i | 0.891545 | − | 0.0428038i | ||||
\(292\) | 7.65818 | + | 10.5406i | 0.448161 | + | 0.616841i | ||||
\(293\) | 5.03408 | + | 15.4933i | 0.294094 | + | 0.905129i | 0.983524 | + | 0.180777i | \(0.0578611\pi\) |
−0.689430 | + | 0.724352i | \(0.742139\pi\) | |||||||
\(294\) | −1.35082 | + | 1.08410i | −0.0787817 | + | 0.0632260i | ||||
\(295\) | 18.4265 | + | 13.3877i | 1.07284 | + | 0.779460i | ||||
\(296\) | 0.810696 | 0.0471208 | ||||||||
\(297\) | 1.51496 | + | 17.1670i | 0.0879067 | + | 0.996129i | ||||
\(298\) | −10.9453 | −0.634046 | ||||||||
\(299\) | 7.89912 | + | 5.73905i | 0.456818 | + | 0.331898i | ||||
\(300\) | 8.40056 | − | 6.74185i | 0.485006 | − | 0.389241i | ||||
\(301\) | −2.14621 | − | 6.60535i | −0.123705 | − | 0.380726i | ||||
\(302\) | 8.38514 | + | 11.5412i | 0.482510 | + | 0.664119i | ||||
\(303\) | −28.4741 | + | 1.36706i | −1.63579 | + | 0.0785357i | ||||
\(304\) | 5.05108 | − | 1.64119i | 0.289699 | − | 0.0941289i | ||||
\(305\) | −15.9418 | + | 49.0639i | −0.912826 | + | 2.80939i | ||||
\(306\) | 1.27630 | − | 5.75578i | 0.0729612 | − | 0.329036i | ||||
\(307\) | − | 17.8977i | − | 1.02147i | −0.859737 | − | 0.510737i | \(-0.829373\pi\) | ||
0.859737 | − | 0.510737i | \(-0.170627\pi\) | |||||||
\(308\) | 0.847054 | + | 3.20663i | 0.0482654 | + | 0.182715i | ||||
\(309\) | 15.4394 | + | 10.1230i | 0.878314 | + | 0.575876i | ||||
\(310\) | 12.8663 | − | 17.7089i | 0.730756 | − | 1.00580i | ||||
\(311\) | 19.1897 | + | 6.23510i | 1.08815 | + | 0.353560i | 0.797530 | − | 0.603279i | \(-0.206140\pi\) |
0.290617 | + | 0.956840i | \(0.406140\pi\) | |||||||
\(312\) | 4.95828 | + | 1.35190i | 0.280707 | + | 0.0765364i | ||||
\(313\) | 5.43352 | − | 3.94769i | 0.307121 | − | 0.223136i | −0.423539 | − | 0.905878i | \(-0.639212\pi\) |
0.730660 | + | 0.682741i | \(0.239212\pi\) | |||||||
\(314\) | 16.3199 | − | 11.8571i | 0.920987 | − | 0.669136i | ||||
\(315\) | 7.52608 | − | 6.65790i | 0.424046 | − | 0.375130i | ||||
\(316\) | 1.06237 | + | 0.345184i | 0.0597629 | + | 0.0194181i | ||||
\(317\) | 10.4071 | − | 14.3242i | 0.584522 | − | 0.804525i | −0.409660 | − | 0.912238i | \(-0.634353\pi\) |
0.994182 | + | 0.107713i | \(0.0343527\pi\) | |||||||
\(318\) | −11.6023 | + | 17.6956i | −0.650625 | + | 0.992319i | ||||
\(319\) | −0.590145 | + | 10.5459i | −0.0330418 | + | 0.590455i | ||||
\(320\) | − | 3.34945i | − | 0.187240i | ||||||
\(321\) | 0.238542 | + | 0.629664i | 0.0133141 | + | 0.0351444i | ||||
\(322\) | 1.01686 | − | 3.12958i | 0.0566676 | − | 0.174405i | ||||
\(323\) | −9.92636 | + | 3.22527i | −0.552317 | + | 0.179459i | ||||
\(324\) | 1.09763 | − | 8.93282i | 0.0609796 | − | 0.496268i | ||||
\(325\) | −10.8460 | − | 14.9282i | −0.601627 | − | 0.828069i | ||||
\(326\) | 1.83150 | + | 5.63678i | 0.101437 | + | 0.312192i | ||||
\(327\) | −0.343279 | − | 0.427737i | −0.0189834 | − | 0.0236539i | ||||
\(328\) | −6.84145 | − | 4.97060i | −0.377756 | − | 0.274456i | ||||
\(329\) | 4.24323 | 0.233937 | ||||||||
\(330\) | −5.80058 | − | 18.3460i | −0.319312 | − | 1.00991i | ||||
\(331\) | −20.9688 | −1.15255 | −0.576275 | − | 0.817256i | \(-0.695494\pi\) | ||||
−0.576275 | + | 0.817256i | \(0.695494\pi\) | |||||||
\(332\) | 0.505739 | + | 0.367441i | 0.0277560 | + | 0.0201659i | ||||
\(333\) | −2.42090 | + | 0.232996i | −0.132665 | + | 0.0127681i | ||||
\(334\) | 1.35785 | + | 4.17904i | 0.0742984 | + | 0.228667i | ||||
\(335\) | −0.573975 | − | 0.790009i | −0.0313596 | − | 0.0431628i | ||||
\(336\) | −0.0830614 | − | 1.73006i | −0.00453137 | − | 0.0943824i | ||||
\(337\) | −15.4283 | + | 5.01296i | −0.840433 | + | 0.273073i | −0.697434 | − | 0.716649i | \(-0.745675\pi\) |
−0.143000 | + | 0.989723i | \(0.545675\pi\) | |||||||
\(338\) | −1.29662 | + | 3.99059i | −0.0705268 | + | 0.217059i | ||||
\(339\) | 30.2804 | − | 11.4714i | 1.64461 | − | 0.623043i | ||||
\(340\) | 6.58234i | 0.356977i | ||||||||
\(341\) | −11.7405 | − | 18.2198i | −0.635786 | − | 0.986658i | ||||
\(342\) | −14.6118 | + | 6.35263i | −0.790118 | + | 0.343511i | ||||
\(343\) | 0.587785 | − | 0.809017i | 0.0317374 | − | 0.0436828i | ||||
\(344\) | 6.60535 | + | 2.14621i | 0.356136 | + | 0.115716i | ||||
\(345\) | −5.02178 | + | 18.4180i | −0.270364 | + | 0.991594i | ||||
\(346\) | −1.85872 | + | 1.35044i | −0.0999254 | + | 0.0726001i | ||||
\(347\) | −11.7989 | + | 8.57242i | −0.633400 | + | 0.460192i | −0.857576 | − | 0.514357i | \(-0.828031\pi\) |
0.224177 | + | 0.974549i | \(0.428031\pi\) | |||||||
\(348\) | 1.45100 | − | 5.32175i | 0.0777820 | − | 0.285276i | ||||
\(349\) | 4.61564 | + | 1.49971i | 0.247070 | + | 0.0802778i | 0.429934 | − | 0.902860i | \(-0.358537\pi\) |
−0.182864 | + | 0.983138i | \(0.558537\pi\) | |||||||
\(350\) | −3.65534 | + | 5.03115i | −0.195386 | + | 0.268926i | ||||
\(351\) | −15.1950 | − | 2.61203i | −0.811047 | − | 0.139420i | ||||
\(352\) | −3.09211 | − | 1.19953i | −0.164810 | − | 0.0639352i | ||||
\(353\) | − | 26.4448i | − | 1.40751i | −0.710441 | − | 0.703757i | \(-0.751504\pi\) | ||
0.710441 | − | 0.703757i | \(-0.248496\pi\) | |||||||
\(354\) | −11.0142 | + | 4.17260i | −0.585396 | + | 0.221771i | ||||
\(355\) | 9.47348 | − | 29.1564i | 0.502800 | − | 1.54746i | ||||
\(356\) | 8.46392 | − | 2.75010i | 0.448587 | − | 0.145755i | ||||
\(357\) | 0.163232 | + | 3.39990i | 0.00863916 | + | 0.179942i | ||||
\(358\) | 7.74130 | + | 10.6550i | 0.409141 | + | 0.563134i | ||||
\(359\) | 3.58878 | + | 11.0451i | 0.189409 | + | 0.582940i | 0.999996 | − | 0.00267727i | \(-0.000852202\pi\) |
−0.810588 | + | 0.585617i | \(0.800852\pi\) | |||||||
\(360\) | 0.962640 | + | 10.0021i | 0.0507356 | + | 0.527159i | ||||
\(361\) | 7.44853 | + | 5.41167i | 0.392028 | + | 0.284825i | ||||
\(362\) | −26.1721 | −1.37557 | ||||||||
\(363\) | −19.0138 | − | 1.21528i | −0.997964 | − | 0.0637858i | ||||
\(364\) | −2.96716 | −0.155522 | ||||||||
\(365\) | 35.3052 | + | 25.6507i | 1.84796 | + | 1.34262i | ||||
\(366\) | −16.6975 | − | 20.8056i | −0.872792 | − | 1.08753i | ||||
\(367\) | −5.23853 | − | 16.1225i | −0.273449 | − | 0.841590i | −0.989626 | − | 0.143671i | \(-0.954109\pi\) |
0.716176 | − | 0.697919i | \(-0.245891\pi\) | |||||||
\(368\) | 1.93419 | + | 2.66218i | 0.100827 | + | 0.138776i | ||||
\(369\) | 21.8585 | + | 12.8770i | 1.13791 | + | 0.670349i | ||||
\(370\) | 2.58249 | − | 0.839102i | 0.134257 | − | 0.0436228i | ||||
\(371\) | 3.77518 | − | 11.6188i | 0.195998 | − | 0.603219i | ||||
\(372\) | 4.01011 | + | 10.5852i | 0.207914 | + | 0.548818i | ||||
\(373\) | − | 17.5384i | − | 0.908102i | −0.890976 | − | 0.454051i | \(-0.849978\pi\) | ||
0.890976 | − | 0.454051i | \(-0.150022\pi\) | |||||||
\(374\) | 6.07660 | + | 2.35731i | 0.314213 | + | 0.121894i | ||||
\(375\) | 3.87711 | − | 5.91329i | 0.200213 | − | 0.305361i | ||||
\(376\) | −2.49411 | + | 3.43285i | −0.128624 | + | 0.177036i | ||||
\(377\) | −8.98695 | − | 2.92004i | −0.462852 | − | 0.150390i | ||||
\(378\) | 0.745261 | + | 5.14243i | 0.0383321 | + | 0.264498i | ||||
\(379\) | −12.9746 | + | 9.42659i | −0.666460 | + | 0.484211i | −0.868838 | − | 0.495096i | \(-0.835133\pi\) |
0.202378 | + | 0.979307i | \(0.435133\pi\) | |||||||
\(380\) | 14.3916 | − | 10.4561i | 0.738274 | − | 0.536387i | ||||
\(381\) | −23.7068 | − | 6.46379i | −1.21454 | − | 0.331150i | ||||
\(382\) | 10.3485 | + | 3.36244i | 0.529477 | + | 0.172038i | ||||
\(383\) | −3.59741 | + | 4.95141i | −0.183819 | + | 0.253005i | −0.890975 | − | 0.454053i | \(-0.849978\pi\) |
0.707156 | + | 0.707058i | \(0.249978\pi\) | |||||||
\(384\) | 1.44847 | + | 0.949704i | 0.0739169 | + | 0.0484644i | ||||
\(385\) | 6.01730 | + | 9.33806i | 0.306670 | + | 0.475912i | ||||
\(386\) | − | 10.7595i | − | 0.547642i | ||||||
\(387\) | −20.3417 | − | 4.51062i | −1.03403 | − | 0.229288i | ||||
\(388\) | 2.71651 | − | 8.36056i | 0.137910 | − | 0.424443i | ||||
\(389\) | 16.9391 | − | 5.50385i | 0.858847 | − | 0.279056i | 0.153700 | − | 0.988118i | \(-0.450881\pi\) |
0.705147 | + | 0.709061i | \(0.250881\pi\) | |||||||
\(390\) | 17.1940 | − | 0.825495i | 0.870650 | − | 0.0418006i | ||||
\(391\) | −3.80106 | − | 5.23171i | −0.192228 | − | 0.264579i | ||||
\(392\) | 0.309017 | + | 0.951057i | 0.0156077 | + | 0.0480356i | ||||
\(393\) | 9.93636 | − | 7.97440i | 0.501223 | − | 0.402255i | ||||
\(394\) | −4.71419 | − | 3.42506i | −0.237498 | − | 0.172552i | ||||
\(395\) | 3.74147 | 0.188254 | ||||||||
\(396\) | 9.57840 | + | 2.69336i | 0.481333 | + | 0.135347i | ||||
\(397\) | 28.9597 | 1.45344 | 0.726722 | − | 0.686932i | \(-0.241043\pi\) | ||||
0.726722 | + | 0.686932i | \(0.241043\pi\) | |||||||
\(398\) | −17.0689 | − | 12.4013i | −0.855588 | − | 0.621621i | ||||
\(399\) | 7.17425 | − | 5.75768i | 0.359162 | − | 0.288244i | ||||
\(400\) | −1.92173 | − | 5.91447i | −0.0960863 | − | 0.295723i | ||||
\(401\) | −6.32086 | − | 8.69991i | −0.315648 | − | 0.434453i | 0.621484 | − | 0.783427i | \(-0.286530\pi\) |
−0.937132 | + | 0.348974i | \(0.886530\pi\) | |||||||
\(402\) | 0.504384 | − | 0.0242158i | 0.0251564 | − | 0.00120778i | ||||
\(403\) | 18.4420 | − | 5.99218i | 0.918662 | − | 0.298492i | ||||
\(404\) | −5.08594 | + | 15.6529i | −0.253035 | + | 0.778762i | ||||
\(405\) | −5.74928 | − | 29.5918i | −0.285684 | − | 1.47043i | ||||
\(406\) | 3.18467i | 0.158053i | ||||||||
\(407\) | 0.150228 | − | 2.68458i | 0.00744655 | − | 0.133069i | ||||
\(408\) | −2.84653 | − | 1.86636i | −0.140924 | − | 0.0923984i | ||||
\(409\) | 8.35912 | − | 11.5053i | 0.413332 | − | 0.568902i | −0.550695 | − | 0.834706i | \(-0.685637\pi\) |
0.964027 | + | 0.265804i | \(0.0856374\pi\) | |||||||
\(410\) | −26.9383 | − | 8.75280i | −1.33039 | − | 0.432270i | ||||
\(411\) | −27.7426 | − | 7.56418i | −1.36844 | − | 0.373113i | ||||
\(412\) | 8.62338 | − | 6.26525i | 0.424843 | − | 0.308667i | ||||
\(413\) | 5.50136 | − | 3.99697i | 0.270704 | − | 0.196678i | ||||
\(414\) | −6.54099 | − | 7.39392i | −0.321472 | − | 0.363391i | ||||
\(415\) | 1.99136 | + | 0.647031i | 0.0977518 | + | 0.0317615i | ||||
\(416\) | 1.74405 | − | 2.40048i | 0.0855093 | − | 0.117693i | ||||
\(417\) | 15.3225 | − | 23.3696i | 0.750347 | − | 1.14441i | ||||
\(418\) | −4.49872 | − | 17.0305i | −0.220039 | − | 0.832988i | ||||
\(419\) | 30.4311i | 1.48666i | 0.668926 | + | 0.743329i | \(0.266754\pi\) | ||||
−0.668926 | + | 0.743329i | \(0.733246\pi\) | |||||||
\(420\) | −2.05527 | − | 5.42516i | −0.100287 | − | 0.264721i | ||||
\(421\) | 11.1666 | − | 34.3673i | 0.544228 | − | 1.67496i | −0.178591 | − | 0.983923i | \(-0.557154\pi\) |
0.722819 | − | 0.691038i | \(-0.242846\pi\) | |||||||
\(422\) | 17.6884 | − | 5.74730i | 0.861057 | − | 0.279774i | ||||
\(423\) | 6.46131 | − | 10.9680i | 0.314160 | − | 0.533282i | ||||
\(424\) | 7.18083 | + | 9.88356i | 0.348732 | + | 0.479988i | ||||
\(425\) | 3.77657 | + | 11.6231i | 0.183191 | + | 0.563803i | ||||
\(426\) | 9.92254 | + | 12.3638i | 0.480749 | + | 0.599028i | ||||
\(427\) | 12.4606 | + | 9.05317i | 0.603011 | + | 0.438113i | ||||
\(428\) | 0.388750 | 0.0187909 | ||||||||
\(429\) | 5.39556 | − | 16.1685i | 0.260500 | − | 0.780624i | ||||
\(430\) | 23.2629 | 1.12184 | ||||||||
\(431\) | 21.4925 | + | 15.6152i | 1.03526 | + | 0.752157i | 0.969354 | − | 0.245669i | \(-0.0790077\pi\) |
0.0659013 | + | 0.997826i | \(0.479008\pi\) | |||||||
\(432\) | −4.59837 | − | 2.41972i | −0.221239 | − | 0.116419i | ||||
\(433\) | −0.366960 | − | 1.12939i | −0.0176350 | − | 0.0542748i | 0.941852 | − | 0.336029i | \(-0.109084\pi\) |
−0.959487 | + | 0.281754i | \(0.909084\pi\) | |||||||
\(434\) | −3.84131 | − | 5.28711i | −0.184389 | − | 0.253790i | ||||
\(435\) | −0.886009 | − | 18.4544i | −0.0424809 | − | 0.884820i | ||||
\(436\) | −0.301151 | + | 0.0978498i | −0.0144225 | + | 0.00468616i | ||||
\(437\) | −5.40058 | + | 16.6213i | −0.258345 | + | 0.795103i | ||||
\(438\) | −21.1031 | + | 7.99469i | −1.00834 | + | 0.382001i | ||||
\(439\) | 25.9468i | 1.23837i | 0.785244 | + | 0.619187i | \(0.212538\pi\) | ||||
−0.785244 | + | 0.619187i | \(0.787462\pi\) | |||||||
\(440\) | −11.0915 | − | 0.620680i | −0.528768 | − | 0.0295898i | ||||
\(441\) | −1.19612 | − | 2.75123i | −0.0569582 | − | 0.131011i | ||||
\(442\) | −3.42741 | + | 4.71742i | −0.163025 | + | 0.224385i | ||||
\(443\) | 35.0160 | + | 11.3774i | 1.66366 | + | 0.540556i | 0.981635 | − | 0.190771i | \(-0.0610987\pi\) |
0.682027 | + | 0.731327i | \(0.261099\pi\) | |||||||
\(444\) | −0.369370 | + | 1.35471i | −0.0175295 | + | 0.0642919i | ||||
\(445\) | 24.1155 | − | 17.5210i | 1.14319 | − | 0.830574i | ||||
\(446\) | −0.771752 | + | 0.560711i | −0.0365435 | + | 0.0265504i | ||||
\(447\) | 4.98693 | − | 18.2902i | 0.235874 | − | 0.865097i | ||||
\(448\) | −0.951057 | − | 0.309017i | −0.0449332 | − | 0.0145997i | ||||
\(449\) | −3.72139 | + | 5.12205i | −0.175623 | + | 0.241725i | −0.887750 | − | 0.460327i | \(-0.847732\pi\) |
0.712126 | + | 0.702051i | \(0.247732\pi\) | |||||||
\(450\) | 7.43849 | + | 17.1095i | 0.350654 | + | 0.806549i | ||||
\(451\) | −17.7277 | + | 21.7340i | −0.834763 | + | 1.02341i | ||||
\(452\) | − | 18.6949i | − | 0.879334i | ||||||
\(453\) | −23.1063 | + | 8.75359i | −1.08563 | + | 0.411280i | ||||
\(454\) | −0.729476 | + | 2.24510i | −0.0342360 | + | 0.105368i | ||||
\(455\) | −9.45195 | + | 3.07113i | −0.443114 | + | 0.143977i | ||||
\(456\) | 0.441141 | + | 9.18836i | 0.0206583 | + | 0.430285i | ||||
\(457\) | −2.52221 | − | 3.47152i | −0.117984 | − | 0.162391i | 0.745940 | − | 0.666013i | \(-0.232000\pi\) |
−0.863924 | + | 0.503622i | \(0.832000\pi\) | |||||||
\(458\) | −3.09641 | − | 9.52978i | −0.144686 | − | 0.445298i | ||||
\(459\) | 9.03670 | + | 4.75522i | 0.421797 | + | 0.221955i | ||||
\(460\) | 8.91685 | + | 6.47847i | 0.415750 | + | 0.302060i | ||||
\(461\) | −0.793091 | −0.0369380 | −0.0184690 | − | 0.999829i | \(-0.505879\pi\) | ||||
−0.0184690 | + | 0.999829i | \(0.505879\pi\) | |||||||
\(462\) | −5.74438 | − | 0.0455402i | −0.267253 | − | 0.00211872i | ||||
\(463\) | −27.5831 | −1.28189 | −0.640947 | − | 0.767585i | \(-0.721458\pi\) | ||||
−0.640947 | + | 0.767585i | \(0.721458\pi\) | |||||||
\(464\) | −2.57646 | − | 1.87190i | −0.119609 | − | 0.0869010i | ||||
\(465\) | 23.7304 | + | 29.5688i | 1.10047 | + | 1.37122i | ||||
\(466\) | 0.0949223 | + | 0.292141i | 0.00439719 | + | 0.0135332i | ||||
\(467\) | −1.32163 | − | 1.81906i | −0.0611575 | − | 0.0841761i | 0.777343 | − | 0.629077i | \(-0.216567\pi\) |
−0.838500 | + | 0.544901i | \(0.816567\pi\) | |||||||
\(468\) | −4.51819 | + | 7.66958i | −0.208854 | + | 0.354526i | ||||
\(469\) | −0.277272 | + | 0.0900912i | −0.0128032 | + | 0.00416003i | ||||
\(470\) | −4.39191 | + | 13.5169i | −0.202584 | + | 0.623488i | ||||
\(471\) | 12.3781 | + | 32.6738i | 0.570355 | + | 1.50553i | ||||
\(472\) | 6.80005i | 0.312998i | ||||||||
\(473\) | 8.33107 | − | 21.4755i | 0.383063 | − | 0.987446i | ||||
\(474\) | −1.06086 | + | 1.61800i | −0.0487268 | + | 0.0743171i | ||||
\(475\) | 19.4136 | − | 26.7205i | 0.890756 | − | 1.22602i | ||||
\(476\) | 1.86901 | + | 0.607279i | 0.0856661 | + | 0.0278346i | ||||
\(477\) | −24.2840 | − | 27.4505i | −1.11189 | − | 1.25687i | ||||
\(478\) | 13.4456 | − | 9.76881i | 0.614988 | − | 0.446815i | ||||
\(479\) | 12.0673 | − | 8.76742i | 0.551370 | − | 0.400594i | −0.276921 | − | 0.960893i | \(-0.589314\pi\) |
0.828290 | + | 0.560299i | \(0.189314\pi\) | |||||||
\(480\) | 5.59711 | + | 1.52608i | 0.255472 | + | 0.0696558i | ||||
\(481\) | 2.28774 | + | 0.743330i | 0.104312 | + | 0.0338929i | ||||
\(482\) | 12.3997 | − | 17.0667i | 0.564791 | − | 0.777368i | ||||
\(483\) | 4.76639 | + | 3.12513i | 0.216878 | + | 0.142198i | ||||
\(484\) | −4.54517 | + | 10.0171i | −0.206599 | + | 0.455321i | ||||
\(485\) | − | 29.4444i | − | 1.33700i | ||||||
\(486\) | 14.4271 | + | 5.90418i | 0.654426 | + | 0.267819i | ||||
\(487\) | −7.48024 | + | 23.0218i | −0.338962 | + | 1.04322i | 0.625776 | + | 0.780003i | \(0.284783\pi\) |
−0.964737 | + | 0.263214i | \(0.915217\pi\) | |||||||
\(488\) | −14.6483 | + | 4.75953i | −0.663099 | + | 0.215454i | ||||
\(489\) | −10.2538 | + | 0.492294i | −0.463694 | + | 0.0222623i | ||||
\(490\) | 1.96876 | + | 2.70976i | 0.0889395 | + | 0.122415i | ||||
\(491\) | 2.61492 | + | 8.04788i | 0.118010 | + | 0.363196i | 0.992563 | − | 0.121733i | \(-0.0388453\pi\) |
−0.874553 | + | 0.484929i | \(0.838845\pi\) | |||||||
\(492\) | 11.4232 | − | 9.16769i | 0.514999 | − | 0.413312i | ||||
\(493\) | 5.06324 | + | 3.67866i | 0.228037 | + | 0.165679i | ||||
\(494\) | 15.7586 | 0.709015 | ||||||||
\(495\) | 33.2999 | − | 1.33425i | 1.49672 | − | 0.0599702i | ||||
\(496\) | 6.53523 | 0.293441 | ||||||||
\(497\) | −7.40476 | − | 5.37987i | −0.332149 | − | 0.241320i | ||||
\(498\) | −0.844437 | + | 0.677701i | −0.0378401 | + | 0.0303685i | ||||
\(499\) | −1.67031 | − | 5.14067i | −0.0747731 | − | 0.230128i | 0.906684 | − | 0.421811i | \(-0.138605\pi\) |
−0.981457 | + | 0.191683i | \(0.938605\pi\) | |||||||
\(500\) | −2.39960 | − | 3.30276i | −0.107313 | − | 0.147704i | ||||
\(501\) | −7.60206 | + | 0.364981i | −0.339635 | + | 0.0163061i | ||||
\(502\) | 1.67039 | − | 0.542744i | 0.0745534 | − | 0.0242239i | ||||
\(503\) | 8.06902 | − | 24.8339i | 0.359780 | − | 1.10729i | −0.593406 | − | 0.804903i | \(-0.702217\pi\) |
0.953186 | − | 0.302385i | \(-0.0977829\pi\) | |||||||
\(504\) | 2.92886 | + | 0.649451i | 0.130462 | + | 0.0289289i | ||||
\(505\) | 55.1268i | 2.45311i | ||||||||
\(506\) | 9.17409 | − | 5.91163i | 0.407838 | − | 0.262804i | ||||
\(507\) | −6.07770 | − | 3.98491i | −0.269920 | − | 0.176976i | ||||
\(508\) | −8.33877 | + | 11.4773i | −0.369973 | + | 0.509224i | ||||
\(509\) | −16.7967 | − | 5.45758i | −0.744501 | − | 0.241903i | −0.0878877 | − | 0.996130i | \(-0.528012\pi\) |
−0.656613 | + | 0.754227i | \(0.728012\pi\) | |||||||
\(510\) | −10.9994 | − | 2.99905i | −0.487062 | − | 0.132800i | ||||
\(511\) | 10.5406 | − | 7.65818i | 0.466288 | − | 0.338778i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −3.95809 | − | 27.3115i | −0.174754 | − | 1.20583i | ||||
\(514\) | −0.329839 | − | 0.107171i | −0.0145486 | − | 0.00472711i | ||||
\(515\) | 20.9852 | − | 28.8836i | 0.924717 | − | 1.27276i | ||||
\(516\) | −6.59596 | + | 10.0600i | −0.290371 | + | 0.442867i | ||||
\(517\) | 10.9055 | + | 8.89524i | 0.479624 | + | 0.391212i | ||||
\(518\) | − | 0.810696i | − | 0.0356200i | ||||||
\(519\) | −1.40978 | − | 3.72130i | −0.0618825 | − | 0.163347i | ||||
\(520\) | 3.07113 | − | 9.45195i | 0.134678 | − | 0.414495i | ||||
\(521\) | −24.2568 | + | 7.88151i | −1.06271 | + | 0.345295i | −0.787644 | − | 0.616130i | \(-0.788699\pi\) |
−0.275065 | + | 0.961426i | \(0.588699\pi\) | |||||||
\(522\) | 8.23180 | + | 4.84940i | 0.360296 | + | 0.212253i | ||||
\(523\) | −15.9861 | − | 22.0030i | −0.699023 | − | 0.962123i | −0.999964 | − | 0.00847986i | \(-0.997301\pi\) |
0.300941 | − | 0.953643i | \(-0.402699\pi\) | |||||||
\(524\) | −2.27306 | − | 6.99576i | −0.0992991 | − | 0.305611i | ||||
\(525\) | −6.74185 | − | 8.40056i | −0.294238 | − | 0.366630i | ||||
\(526\) | −17.7275 | − | 12.8798i | −0.772957 | − | 0.561586i | ||||
\(527\) | −12.8430 | −0.559451 | ||||||||
\(528\) | 3.41331 | − | 4.62053i | 0.148545 | − | 0.201083i | ||||
\(529\) | 12.1717 | 0.529204 | ||||||||
\(530\) | 33.1045 | + | 24.0518i | 1.43797 | + | 1.04475i | ||||
\(531\) | −1.95435 | − | 20.3063i | −0.0848116 | − | 0.881220i | ||||
\(532\) | −1.64119 | − | 5.05108i | −0.0711548 | − | 0.218992i | ||||
\(533\) | −14.7486 | − | 20.2997i | −0.638832 | − | 0.879277i | ||||
\(534\) | 0.739205 | + | 15.3966i | 0.0319885 | + | 0.666278i | ||||
\(535\) | 1.23837 | − | 0.402371i | 0.0535394 | − | 0.0173960i | ||||
\(536\) | 0.0900912 | − | 0.277272i | 0.00389135 | − | 0.0119763i | ||||
\(537\) | −21.3321 | + | 8.08147i | −0.920549 | + | 0.348741i | ||||
\(538\) | − | 29.7047i | − | 1.28066i | ||||||
\(539\) | 3.20663 | − | 0.847054i | 0.138119 | − | 0.0364852i | ||||
\(540\) | −17.1527 | − | 2.94857i | −0.738134 | − | 0.126886i | ||||
\(541\) | −6.00348 | + | 8.26308i | −0.258110 | + | 0.355258i | −0.918331 | − | 0.395814i | \(-0.870463\pi\) |
0.660221 | + | 0.751071i | \(0.270463\pi\) | |||||||
\(542\) | −27.9268 | − | 9.07396i | −1.19956 | − | 0.389760i | ||||
\(543\) | 11.9245 | − | 43.7348i | 0.511731 | − | 1.87684i | ||||
\(544\) | −1.58988 | + | 1.15511i | −0.0681654 | + | 0.0495251i | ||||
\(545\) | −0.858043 | + | 0.623405i | −0.0367545 | + | 0.0267037i | ||||
\(546\) | 1.35190 | − | 4.95828i | 0.0578561 | − | 0.212195i | ||||
\(547\) | −28.4799 | − | 9.25370i | −1.21771 | − | 0.395659i | −0.371466 | − | 0.928447i | \(-0.621145\pi\) |
−0.846249 | + | 0.532787i | \(0.821145\pi\) | |||||||
\(548\) | −9.75835 | + | 13.4312i | −0.416856 | + | 0.573753i | ||||
\(549\) | 42.3750 | − | 18.4229i | 1.80852 | − | 0.786270i | ||||
\(550\) | −19.9415 | + | 5.26769i | −0.850310 | + | 0.224615i | ||||
\(551\) | − | 16.9139i | − | 0.720554i | ||||||
\(552\) | −5.32990 | + | 2.01918i | −0.226855 | + | 0.0859420i | ||||
\(553\) | 0.345184 | − | 1.06237i | 0.0146787 | − | 0.0451765i | ||||
\(554\) | 9.90880 | − | 3.21957i | 0.420985 | − | 0.136786i | ||||
\(555\) | 0.225544 | + | 4.69778i | 0.00957382 | + | 0.199410i | ||||
\(556\) | −9.48331 | − | 13.0527i | −0.402182 | − | 0.553556i | ||||
\(557\) | −3.84988 | − | 11.8487i | −0.163124 | − | 0.502046i | 0.835769 | − | 0.549082i | \(-0.185022\pi\) |
−0.998893 | + | 0.0470361i | \(0.985022\pi\) | |||||||
\(558\) | −19.5155 | + | 1.87824i | −0.826158 | + | 0.0795122i | ||||
\(559\) | 16.6720 | + | 12.1129i | 0.705151 | + | 0.512322i | ||||
\(560\) | −3.34945 | −0.141540 | ||||||||
\(561\) | −6.70782 | + | 9.08026i | −0.283204 | + | 0.383369i | ||||
\(562\) | −8.55093 | −0.360699 | ||||||||
\(563\) | 6.90825 | + | 5.01914i | 0.291148 | + | 0.211531i | 0.723765 | − | 0.690046i | \(-0.242410\pi\) |
−0.432617 | + | 0.901578i | \(0.642410\pi\) | |||||||
\(564\) | −4.60009 | − | 5.73186i | −0.193699 | − | 0.241355i | ||||
\(565\) | −19.3499 | − | 59.5529i | −0.814057 | − | 2.50541i | ||||
\(566\) | −15.5127 | − | 21.3515i | −0.652049 | − | 0.897469i | ||||
\(567\) | −8.93282 | − | 1.09763i | −0.375143 | − | 0.0460962i | ||||
\(568\) | 8.70482 | − | 2.82837i | 0.365246 | − | 0.118676i | ||||
\(569\) | −4.53295 | + | 13.9510i | −0.190031 | + | 0.584856i | −0.999999 | − | 0.00161883i | \(-0.999485\pi\) |
0.809967 | + | 0.586475i | \(0.199485\pi\) | |||||||
\(570\) | 10.9156 | + | 28.8131i | 0.457203 | + | 1.20685i | ||||
\(571\) | 43.0612i | 1.80206i | 0.433762 | + | 0.901028i | \(0.357186\pi\) | ||||
−0.433762 | + | 0.901028i | \(0.642814\pi\) | |||||||
\(572\) | −7.62588 | − | 6.22017i | −0.318854 | − | 0.260078i | ||||
\(573\) | −10.3338 | + | 15.7609i | −0.431702 | + | 0.658422i | ||||
\(574\) | −4.97060 | + | 6.84145i | −0.207469 | + | 0.285557i | ||||
\(575\) | 19.4624 | + | 6.32371i | 0.811637 | + | 0.263717i | ||||
\(576\) | −2.24696 | + | 1.98776i | −0.0936232 | + | 0.0828233i | ||||
\(577\) | −17.7269 | + | 12.8794i | −0.737982 | + | 0.536176i | −0.892079 | − | 0.451880i | \(-0.850753\pi\) |
0.154096 | + | 0.988056i | \(0.450753\pi\) | |||||||
\(578\) | −10.6289 | + | 7.72232i | −0.442103 | + | 0.321206i | ||||
\(579\) | 17.9796 | + | 4.90223i | 0.747206 | + | 0.203730i | ||||
\(580\) | −10.1448 | − | 3.29626i | −0.421242 | − | 0.136870i | ||||
\(581\) | 0.367441 | − | 0.505739i | 0.0152440 | − | 0.0209816i | ||||
\(582\) | 12.7332 | + | 8.34868i | 0.527809 | + | 0.346064i | ||||
\(583\) | 34.0595 | − | 21.9474i | 1.41060 | − | 0.908969i | ||||
\(584\) | 13.0289i | 0.539138i | ||||||||
\(585\) | −6.45449 | + | 29.1081i | −0.266860 | + | 1.20347i | ||||
\(586\) | −5.03408 | + | 15.4933i | −0.207956 | + | 0.640023i | ||||
\(587\) | −13.0033 | + | 4.22501i | −0.536702 | + | 0.174385i | −0.564812 | − | 0.825220i | \(-0.691051\pi\) |
0.0281098 | + | 0.999605i | \(0.491051\pi\) | |||||||
\(588\) | −1.73006 | + | 0.0830614i | −0.0713464 | + | 0.00342540i | ||||
\(589\) | 20.4013 | + | 28.0799i | 0.840620 | + | 1.15701i | ||||
\(590\) | 7.03831 | + | 21.6617i | 0.289763 | + | 0.891798i | ||||
\(591\) | 7.87134 | − | 6.31712i | 0.323783 | − | 0.259852i | ||||
\(592\) | 0.655867 | + | 0.476515i | 0.0269560 | + | 0.0195847i | ||||
\(593\) | −25.6012 | −1.05132 | −0.525659 | − | 0.850696i | \(-0.676181\pi\) | ||||
−0.525659 | + | 0.850696i | \(0.676181\pi\) | |||||||
\(594\) | −8.86487 | + | 14.7788i | −0.363730 | + | 0.606383i | ||||
\(595\) | 6.58234 | 0.269849 | ||||||||
\(596\) | −8.85496 | − | 6.43351i | −0.362713 | − | 0.263527i | ||||
\(597\) | 28.5002 | − | 22.8727i | 1.16643 | − | 0.936119i | ||||
\(598\) | 3.01720 | + | 9.28598i | 0.123382 | + | 0.379732i | ||||
\(599\) | −12.9678 | − | 17.8486i | −0.529848 | − | 0.729273i | 0.457259 | − | 0.889333i | \(-0.348831\pi\) |
−0.987107 | + | 0.160060i | \(0.948831\pi\) | |||||||
\(600\) | 10.7590 | − | 0.516546i | 0.439232 | − | 0.0210879i | ||||
\(601\) | −12.9783 | + | 4.21689i | −0.529394 | + | 0.172011i | −0.561505 | − | 0.827474i | \(-0.689777\pi\) |
0.0321101 | + | 0.999484i | \(0.489777\pi\) | |||||||
\(602\) | 2.14621 | − | 6.60535i | 0.0874729 | − | 0.269214i | ||||
\(603\) | −0.189342 | + | 0.853884i | −0.00771060 | + | 0.0347728i | ||||
\(604\) | 14.2656i | 0.580461i | ||||||||
\(605\) | −4.11070 | + | 36.6140i | −0.167124 | + | 1.48857i | ||||
\(606\) | −23.8396 | − | 15.6307i | −0.968416 | − | 0.634953i | ||||
\(607\) | 1.91867 | − | 2.64082i | 0.0778764 | − | 0.107188i | −0.768302 | − | 0.640088i | \(-0.778898\pi\) |
0.846178 | + | 0.532900i | \(0.178898\pi\) | |||||||
\(608\) | 5.05108 | + | 1.64119i | 0.204848 | + | 0.0665592i | ||||
\(609\) | −5.32175 | − | 1.45100i | −0.215648 | − | 0.0587977i | ||||
\(610\) | −41.7363 | + | 30.3232i | −1.68985 | + | 1.22775i | ||||
\(611\) | −10.1858 | + | 7.40043i | −0.412074 | + | 0.299389i | ||||
\(612\) | 4.41571 | − | 3.90634i | 0.178495 | − | 0.157904i | ||||
\(613\) | −31.9471 | − | 10.3802i | −1.29033 | − | 0.419254i | −0.418124 | − | 0.908390i | \(-0.637312\pi\) |
−0.872208 | + | 0.489136i | \(0.837312\pi\) | |||||||
\(614\) | 10.5200 | − | 14.4795i | 0.424552 | − | 0.584345i | ||||
\(615\) | 26.9000 | − | 41.0274i | 1.08471 | − | 1.65438i | ||||
\(616\) | −1.19953 | + | 3.09211i | −0.0483305 | + | 0.124585i | ||||
\(617\) | 43.6916i | 1.75896i | 0.475940 | + | 0.879478i | \(0.342108\pi\) | ||||
−0.475940 | + | 0.879478i | \(0.657892\pi\) | |||||||
\(618\) | 6.54056 | + | 17.2647i | 0.263100 | + | 0.694488i | ||||
\(619\) | −1.99688 | + | 6.14575i | −0.0802612 | + | 0.247019i | −0.983133 | − | 0.182891i | \(-0.941455\pi\) |
0.902872 | + | 0.429909i | \(0.141455\pi\) | |||||||
\(620\) | 20.8181 | − | 6.76421i | 0.836075 | − | 0.271657i | ||||
\(621\) | 15.3358 | − | 7.56150i | 0.615406 | − | 0.303433i | ||||
\(622\) | 11.8599 | + | 16.3237i | 0.475538 | + | 0.654521i | ||||
\(623\) | −2.75010 | − | 8.46392i | −0.110180 | − | 0.339100i | ||||
\(624\) | 3.21670 | + | 4.00811i | 0.128771 | + | 0.160453i | ||||
\(625\) | 14.0933 | + | 10.2394i | 0.563731 | + | 0.409574i | ||||
\(626\) | 6.71621 | 0.268434 | ||||||||
\(627\) | 30.5085 | + | 0.241865i | 1.21839 | + | 0.00965915i | ||||
\(628\) | 20.1725 | 0.804972 | ||||||||
\(629\) | −1.28891 | − | 0.936447i | −0.0513921 | − | 0.0373386i | ||||
\(630\) | 10.0021 | − | 0.962640i | 0.398495 | − | 0.0383525i | ||||
\(631\) | 13.4126 | + | 41.2797i | 0.533946 | + | 1.64332i | 0.745915 | + | 0.666041i | \(0.232012\pi\) |
−0.211969 | + | 0.977276i | \(0.567988\pi\) | |||||||
\(632\) | 0.656580 | + | 0.903705i | 0.0261173 | + | 0.0359474i | ||||
\(633\) | 1.54483 | + | 32.1768i | 0.0614015 | + | 1.27891i | ||||
\(634\) | 16.8391 | − | 5.47134i | 0.668765 | − | 0.217295i | ||||
\(635\) | −14.6838 | + | 45.1922i | −0.582710 | + | 1.79340i | ||||
\(636\) | −19.7877 | + | 7.49636i | −0.784632 | + | 0.297250i | ||||
\(637\) | 2.96716i | 0.117563i | ||||||||
\(638\) | −6.67614 | + | 8.18491i | −0.264311 | + | 0.324044i | ||||
\(639\) | −25.1815 | + | 10.9479i | −0.996163 | + | 0.433091i | ||||
\(640\) | 1.96876 | − | 2.70976i | 0.0778220 | − | 0.107113i | ||||
\(641\) | −15.2776 | − | 4.96400i | −0.603429 | − | 0.196066i | −0.00866002 | − | 0.999963i | \(-0.502757\pi\) |
−0.594769 | + | 0.803896i | \(0.702757\pi\) | |||||||
\(642\) | −0.177123 | + | 0.649621i | −0.00699048 | + | 0.0256385i | ||||
\(643\) | −5.78826 | + | 4.20542i | −0.228267 | + | 0.165846i | −0.696040 | − | 0.718003i | \(-0.745056\pi\) |
0.467773 | + | 0.883849i | \(0.345056\pi\) | |||||||
\(644\) | 2.66218 | − | 1.93419i | 0.104905 | − | 0.0762177i | ||||
\(645\) | −10.5991 | + | 38.8734i | −0.417337 | + | 1.53064i | ||||
\(646\) | −9.92636 | − | 3.22527i | −0.390547 | − | 0.126897i | ||||
\(647\) | −0.103256 | + | 0.142120i | −0.00405941 | + | 0.00558730i | −0.811042 | − | 0.584988i | \(-0.801099\pi\) |
0.806982 | + | 0.590575i | \(0.201099\pi\) | |||||||
\(648\) | 6.13858 | − | 6.58163i | 0.241146 | − | 0.258551i | ||||
\(649\) | 22.5180 | + | 1.26010i | 0.883909 | + | 0.0494634i | ||||
\(650\) | − | 18.4523i | − | 0.723759i | ||||||
\(651\) | 10.5852 | − | 4.01011i | 0.414867 | − | 0.157168i | ||||
\(652\) | −1.83150 | + | 5.63678i | −0.0717271 | + | 0.220753i | ||||
\(653\) | 12.1656 | − | 3.95285i | 0.476077 | − | 0.154687i | −0.0611426 | − | 0.998129i | \(-0.519474\pi\) |
0.537220 | + | 0.843442i | \(0.319474\pi\) | |||||||
\(654\) | −0.0263013 | − | 0.547820i | −0.00102846 | − | 0.0214215i | ||||
\(655\) | −14.4817 | − | 19.9324i | −0.565849 | − | 0.778824i | ||||
\(656\) | −2.61320 | − | 8.04261i | −0.102028 | − | 0.314011i | ||||
\(657\) | −3.74453 | − | 38.9068i | −0.146088 | − | 1.51790i | ||||
\(658\) | 3.43285 | + | 2.49411i | 0.133826 | + | 0.0972306i | ||||
\(659\) | −9.68624 | −0.377322 | −0.188661 | − | 0.982042i | \(-0.560415\pi\) | ||||
−0.188661 | + | 0.982042i | \(0.560415\pi\) | |||||||
\(660\) | 6.09072 | − | 18.2517i | 0.237081 | − | 0.710447i | ||||
\(661\) | 7.90856 | 0.307607 | 0.153804 | − | 0.988101i | \(-0.450848\pi\) | ||||
0.153804 | + | 0.988101i | \(0.450848\pi\) | |||||||
\(662\) | −16.9641 | − | 12.3252i | −0.659330 | − | 0.479031i | ||||
\(663\) | −6.32145 | − | 7.87673i | −0.245505 | − | 0.305907i | ||||
\(664\) | 0.193175 | + | 0.594531i | 0.00749664 | + | 0.0230723i | ||||
\(665\) | −10.4561 | − | 14.3916i | −0.405471 | − | 0.558082i | ||||
\(666\) | −2.09550 | − | 1.23447i | −0.0811991 | − | 0.0478349i | ||||
\(667\) | 9.96670 | − | 3.23838i | 0.385912 | − | 0.125390i | ||||
\(668\) | −1.35785 | + | 4.17904i | −0.0525369 | + | 0.161692i | ||||
\(669\) | −0.585349 | − | 1.54511i | −0.0226309 | − | 0.0597374i | ||||
\(670\) | − | 0.976504i | − | 0.0377257i | ||||||
\(671\) | 13.0465 | + | 49.3891i | 0.503653 | + | 1.90665i | ||||
\(672\) | 0.949704 | − | 1.44847i | 0.0366356 | − | 0.0558759i | ||||
\(673\) | −17.6357 | + | 24.2735i | −0.679808 | + | 0.935675i | −0.999932 | − | 0.0117004i | \(-0.996276\pi\) |
0.320124 | + | 0.947376i | \(0.396276\pi\) | |||||||
\(674\) | −15.4283 | − | 5.01296i | −0.594276 | − | 0.193092i | ||||
\(675\) | −31.9799 | + | 4.63466i | −1.23091 | + | 0.178388i | ||||
\(676\) | −3.39460 | + | 2.46632i | −0.130561 | + | 0.0948584i | ||||
\(677\) | 6.31637 | − | 4.58911i | 0.242758 | − | 0.176374i | −0.459753 | − | 0.888047i | \(-0.652062\pi\) |
0.702511 | + | 0.711673i | \(0.252062\pi\) | |||||||
\(678\) | 31.2401 | + | 8.51779i | 1.19977 | + | 0.327124i | ||||
\(679\) | −8.36056 | − | 2.71651i | −0.320849 | − | 0.104250i | ||||
\(680\) | −3.86900 | + | 5.32522i | −0.148369 | + | 0.204213i | ||||
\(681\) | −3.41930 | − | 2.24190i | −0.131028 | − | 0.0859100i | ||||
\(682\) | 1.21103 | − | 21.6410i | 0.0463727 | − | 0.828679i | ||||
\(683\) | 47.5654i | 1.82004i | 0.414567 | + | 0.910019i | \(0.363933\pi\) | ||||
−0.414567 | + | 0.910019i | \(0.636067\pi\) | |||||||
\(684\) | −15.5552 | − | 3.44925i | −0.594768 | − | 0.131885i | ||||
\(685\) | −17.1836 | + | 52.8857i | −0.656552 | + | 2.02066i | ||||
\(686\) | 0.951057 | − | 0.309017i | 0.0363115 | − | 0.0117983i | ||||
\(687\) | 17.3355 | − | 0.832293i | 0.661392 | − | 0.0317540i | ||||
\(688\) | 4.08233 | + | 5.61884i | 0.155637 | + | 0.214216i | ||||
\(689\) | 11.2016 | + | 34.4749i | 0.426746 | + | 1.31339i | ||||
\(690\) | −14.8886 | + | 11.9488i | −0.566798 | + | 0.454882i | ||||
\(691\) | 13.4565 | + | 9.77672i | 0.511909 | + | 0.371924i | 0.813547 | − | 0.581499i | \(-0.197533\pi\) |
−0.301638 | + | 0.953423i | \(0.597533\pi\) | |||||||
\(692\) | −2.29751 | −0.0873380 | ||||||||
\(693\) | 2.69336 | − | 9.57840i | 0.102312 | − | 0.363853i | ||||
\(694\) | −14.5843 | −0.553612 | ||||||||
\(695\) | −43.7193 | − | 31.7639i | −1.65837 | − | 1.20487i | ||||
\(696\) | 4.30193 | − | 3.45251i | 0.163064 | − | 0.130867i | ||||
\(697\) | 5.13546 | + | 15.8053i | 0.194519 | + | 0.598669i | ||||
\(698\) | 2.85262 | + | 3.92630i | 0.107973 | + | 0.148613i | ||||
\(699\) | −0.531431 | + | 0.0255144i | −0.0201006 | + | 0.000965043i | ||||
\(700\) | −5.91447 | + | 1.92173i | −0.223546 | + | 0.0726344i | ||||
\(701\) | 4.83599 | − | 14.8836i | 0.182653 | − | 0.562147i | −0.817247 | − | 0.576287i | \(-0.804501\pi\) |
0.999900 | + | 0.0141399i | \(0.00450101\pi\) | |||||||
\(702\) | −10.7577 | − | 11.0445i | −0.406022 | − | 0.416850i | ||||
\(703\) | 4.30562i | 0.162390i | ||||||||
\(704\) | −1.79650 | − | 2.78794i | −0.0677082 | − | 0.105074i | ||||
\(705\) | −20.5864 | − | 13.4977i | −0.775328 | − | 0.508352i | ||||
\(706\) | 15.5439 | − | 21.3943i | 0.585001 | − | 0.805185i | ||||
\(707\) | 15.6529 | + | 5.08594i | 0.588689 | + | 0.191277i | ||||
\(708\) | −11.3632 | − | 3.09825i | −0.427056 | − | 0.116439i | ||||
\(709\) | −18.0240 | + | 13.0952i | −0.676907 | + | 0.491802i | −0.872330 | − | 0.488917i | \(-0.837392\pi\) |
0.195423 | + | 0.980719i | \(0.437392\pi\) | |||||||
\(710\) | 24.8019 | − | 18.0196i | 0.930799 | − | 0.676265i | ||||
\(711\) | −2.22041 | − | 2.50994i | −0.0832718 | − | 0.0941302i | ||||
\(712\) | 8.46392 | + | 2.75010i | 0.317199 | + | 0.103064i | ||||
\(713\) | −12.6404 | + | 17.3980i | −0.473385 | + | 0.651559i | ||||
\(714\) | −1.86636 | + | 2.84653i | −0.0698466 | + | 0.106529i | ||||
\(715\) | −30.7305 | − | 11.9214i | −1.14926 | − | 0.445834i | ||||
\(716\) | 13.1703i | 0.492197i | ||||||||
\(717\) | 10.1981 | + | 26.9192i | 0.380854 | + | 1.00532i | ||||
\(718\) | −3.58878 | + | 11.0451i | −0.133932 | + | 0.412201i | ||||
\(719\) | 23.5096 | − | 7.63874i | 0.876761 | − | 0.284877i | 0.164149 | − | 0.986436i | \(-0.447512\pi\) |
0.712612 | + | 0.701559i | \(0.247512\pi\) | |||||||
\(720\) | −5.10032 | + | 8.65773i | −0.190078 | + | 0.322655i | ||||
\(721\) | −6.26525 | − | 8.62338i | −0.233330 | − | 0.321151i | ||||
\(722\) | 2.84508 | + | 8.75627i | 0.105883 | + | 0.325875i | ||||
\(723\) | 22.8698 | + | 28.4965i | 0.850537 | + | 1.05980i | ||||
\(724\) | −21.1736 | − | 15.3835i | −0.786912 | − | 0.571725i | ||||
\(725\) | −19.8050 | −0.735538 | ||||||||
\(726\) | −14.6681 | − | 12.1592i | −0.544385 | − | 0.451270i | ||||
\(727\) | 36.8818 | 1.36787 | 0.683935 | − | 0.729543i | \(-0.260267\pi\) | ||||
0.683935 | + | 0.729543i | \(0.260267\pi\) | |||||||
\(728\) | −2.40048 | − | 1.74405i | −0.0889679 | − | 0.0646389i | ||||
\(729\) | −16.4395 | + | 21.4183i | −0.608869 | + | 0.793271i | ||||
\(730\) | 13.4854 | + | 41.5037i | 0.499116 | + | 1.53612i | ||||
\(731\) | −8.02258 | − | 11.0421i | −0.296726 | − | 0.408408i | ||||
\(732\) | −1.27933 | − | 26.6466i | −0.0472853 | − | 0.984888i | ||||
\(733\) | −24.3745 | + | 7.91975i | −0.900292 | + | 0.292523i | −0.722357 | − | 0.691520i | \(-0.756941\pi\) |
−0.177934 | + | 0.984042i | \(0.556941\pi\) | |||||||
\(734\) | 5.23853 | − | 16.1225i | 0.193358 | − | 0.595094i | ||||
\(735\) | −5.42516 | + | 2.05527i | −0.200110 | + | 0.0758098i | ||||
\(736\) | 3.29064i | 0.121295i | ||||||||
\(737\) | −0.901477 | − | 0.349713i | −0.0332063 | − | 0.0128818i | ||||
\(738\) | 10.1150 | + | 23.2658i | 0.372339 | + | 0.856426i | ||||
\(739\) | −15.6277 | + | 21.5096i | −0.574873 | + | 0.791244i | −0.993122 | − | 0.117088i | \(-0.962644\pi\) |
0.418249 | + | 0.908332i | \(0.362644\pi\) | |||||||
\(740\) | 2.58249 | + | 0.839102i | 0.0949342 | + | 0.0308460i | ||||
\(741\) | −7.17997 | + | 26.3335i | −0.263763 | + | 0.967385i | ||||
\(742\) | 9.88356 | − | 7.18083i | 0.362837 | − | 0.263616i | ||||
\(743\) | 11.0261 | − | 8.01096i | 0.404510 | − | 0.293894i | −0.366866 | − | 0.930274i | \(-0.619569\pi\) |
0.771375 | + | 0.636380i | \(0.219569\pi\) | |||||||
\(744\) | −2.97759 | + | 10.9207i | −0.109164 | + | 0.400372i | ||||
\(745\) | −34.8666 | − | 11.3288i | −1.27741 | − | 0.415057i | ||||
\(746\) | 10.3088 | − | 14.1888i | 0.377432 | − | 0.519490i | ||||
\(747\) | −0.747729 | − | 1.71987i | −0.0273580 | − | 0.0629268i | ||||
\(748\) | 3.53048 | + | 5.47884i | 0.129087 | + | 0.200326i | ||||
\(749\) | − | 0.388750i | − | 0.0142046i | ||||||
\(750\) | 6.61239 | − | 2.50504i | 0.241450 | − | 0.0914712i | ||||
\(751\) | 12.3775 | − | 38.0942i | 0.451663 | − | 1.39008i | −0.423346 | − | 0.905968i | \(-0.639144\pi\) |
0.875009 | − | 0.484107i | \(-0.160856\pi\) | |||||||
\(752\) | −4.03556 | + | 1.31123i | −0.147162 | + | 0.0478157i | ||||
\(753\) | 0.145886 | + | 3.03860i | 0.00531637 | + | 0.110733i | ||||
\(754\) | −5.55424 | − | 7.64476i | −0.202274 | − | 0.278406i | ||||
\(755\) | 14.7655 | + | 45.4435i | 0.537371 | + | 1.65386i | ||||
\(756\) | −2.41972 | + | 4.59837i | −0.0880042 | + | 0.167241i | ||||
\(757\) | 20.4083 | + | 14.8275i | 0.741751 | + | 0.538913i | 0.893259 | − | 0.449543i | \(-0.148413\pi\) |
−0.151508 | + | 0.988456i | \(0.548413\pi\) | |||||||
\(758\) | −16.0375 | −0.582507 | ||||||||
\(759\) | 5.69873 | + | 18.0238i | 0.206851 | + | 0.654223i | ||||
\(760\) | 17.7890 | 0.645275 | ||||||||
\(761\) | −31.2556 | − | 22.7085i | −1.13301 | − | 0.823183i | −0.146883 | − | 0.989154i | \(-0.546924\pi\) |
−0.986131 | + | 0.165971i | \(0.946924\pi\) | |||||||
\(762\) | −15.3799 | − | 19.1638i | −0.557154 | − | 0.694232i | ||||
\(763\) | 0.0978498 | + | 0.301151i | 0.00354240 | + | 0.0109024i | ||||
\(764\) | 6.39575 | + | 8.80299i | 0.231390 | + | 0.318481i | ||||
\(765\) | 10.0231 | − | 17.0141i | 0.362387 | − | 0.615148i | ||||
\(766\) | −5.82073 | + | 1.89127i | −0.210311 | + | 0.0683343i | ||||
\(767\) | −6.23499 | + | 19.1893i | −0.225133 | + | 0.692887i | ||||
\(768\) | 0.613613 | + | 1.61972i | 0.0221419 | + | 0.0584465i | ||||
\(769\) | 22.9318i | 0.826942i | 0.910517 | + | 0.413471i | \(0.135684\pi\) | ||||
−0.910517 | + | 0.413471i | \(0.864316\pi\) | |||||||
\(770\) | −0.620680 | + | 11.0915i | −0.0223678 | + | 0.399711i | ||||
\(771\) | 0.329370 | − | 0.502347i | 0.0118620 | − | 0.0180916i | ||||
\(772\) | 6.32425 | − | 8.70458i | 0.227615 | − | 0.313285i | ||||
\(773\) | 5.72599 | + | 1.86049i | 0.205949 | + | 0.0669170i | 0.410175 | − | 0.912007i | \(-0.365468\pi\) |
−0.204226 | + | 0.978924i | \(0.565468\pi\) | |||||||
\(774\) | −13.8055 | − | 15.6057i | −0.496229 | − | 0.560936i | ||||
\(775\) | 32.8797 | − | 23.8885i | 1.18107 | − | 0.858100i | ||||
\(776\) | 7.11192 | − | 5.16711i | 0.255303 | − | 0.185489i | ||||
\(777\) | 1.35471 | + | 0.369370i | 0.0486001 | + | 0.0132511i | ||||
\(778\) | 16.9391 | + | 5.50385i | 0.607296 | + | 0.197323i | ||||
\(779\) | 26.3990 | − | 36.3350i | 0.945841 | − | 1.30184i | ||||
\(780\) | 14.3954 | + | 9.43851i | 0.515439 | + | 0.337953i | ||||
\(781\) | −7.75291 | − | 29.3496i | −0.277421 | − | 1.05021i | ||||
\(782\) | − | 6.46675i | − | 0.231251i | ||||||
\(783\) | −11.8542 | + | 11.5463i | −0.423634 | + | 0.412630i | ||||
\(784\) | −0.309017 | + | 0.951057i | −0.0110363 | + | 0.0339663i | ||||
\(785\) | 64.2600 | − | 20.8793i | 2.29354 | − | 0.745216i | ||||
\(786\) | 12.7259 | − | 0.610981i | 0.453918 | − | 0.0217930i | ||||
\(787\) | 21.3866 | + | 29.4361i | 0.762350 | + | 1.04929i | 0.997015 | + | 0.0772087i | \(0.0246008\pi\) |
−0.234665 | + | 0.972076i | \(0.575399\pi\) | |||||||
\(788\) | −1.80066 | − | 5.54187i | −0.0641459 | − | 0.197421i | ||||
\(789\) | 29.5998 | − | 23.7553i | 1.05378 | − | 0.845710i | ||||
\(790\) | 3.02692 | + | 2.19918i | 0.107693 | + | 0.0782434i | ||||
\(791\) | −18.6949 | −0.664714 | ||||||||
\(792\) | 6.16597 | + | 7.80902i | 0.219098 | + | 0.277481i | ||||
\(793\) | −45.7007 | −1.62288 | ||||||||
\(794\) | 23.4288 | + | 17.0221i | 0.831459 | + | 0.604090i | ||||
\(795\) | −55.2750 | + | 44.3608i | −1.96040 | + | 1.57332i | ||||
\(796\) | −6.51975 | − | 20.0657i | −0.231086 | − | 0.711211i | ||||
\(797\) | −31.1246 | − | 42.8393i | −1.10249 | − | 1.51745i | −0.832042 | − | 0.554713i | \(-0.812828\pi\) |
−0.270448 | − | 0.962734i | \(-0.587172\pi\) | |||||||
\(798\) | 9.18836 | − | 0.441141i | 0.325265 | − | 0.0156162i | ||||
\(799\) | 7.93066 | − | 2.57683i | 0.280567 | − | 0.0911616i | ||||
\(800\) | 1.92173 | − | 5.91447i | 0.0679433 | − | 0.209108i | ||||
\(801\) | −26.0654 | − | 5.77979i | −0.920975 | − | 0.204219i | ||||
\(802\) | − | 10.7537i | − | 0.379726i | ||||||
\(803\) | 43.1444 | + | 2.41435i | 1.52253 | + | 0.0852007i | ||||
\(804\) | 0.422289 | + | 0.276878i | 0.0148930 | + | 0.00976474i | ||||
\(805\) | 6.47847 | − | 8.91685i | 0.228336 | − | 0.314278i | ||||
\(806\) | 18.4420 | + | 5.99218i | 0.649592 | + | 0.211065i | ||||
\(807\) | 49.6381 | + | 13.5341i | 1.74734 | + | 0.476423i | ||||
\(808\) | −13.3152 | + | 9.67404i | −0.468426 | + | 0.340332i | ||||
\(809\) | 18.0212 | − | 13.0932i | 0.633592 | − | 0.460331i | −0.224051 | − | 0.974577i | \(-0.571928\pi\) |
0.857643 | + | 0.514246i | \(0.171928\pi\) | |||||||
\(810\) | 12.7423 | − | 27.3196i | 0.447720 | − | 0.959912i | ||||
\(811\) | 4.56271 | + | 1.48251i | 0.160218 | + | 0.0520581i | 0.388028 | − | 0.921648i | \(-0.373156\pi\) |
−0.227810 | + | 0.973706i | \(0.573156\pi\) | |||||||
\(812\) | −1.87190 | + | 2.57646i | −0.0656910 | + | 0.0904159i | ||||
\(813\) | 27.8871 | − | 42.5328i | 0.978043 | − | 1.49169i | ||||
\(814\) | 1.69949 | − | 2.08357i | 0.0595671 | − | 0.0730289i | ||||
\(815\) | 19.8518i | 0.695377i | ||||||||
\(816\) | −1.20587 | − | 3.18306i | −0.0422139 | − | 0.111429i | ||||
\(817\) | −11.3985 | + | 35.0811i | −0.398784 | + | 1.22733i | ||||
\(818\) | 13.5253 | − | 4.39465i | 0.472902 | − | 0.153655i | ||||
\(819\) | 7.66958 | + | 4.51819i | 0.267997 | + | 0.157878i | ||||
\(820\) | −16.6488 | − | 22.9151i | −0.581402 | − | 0.800231i | ||||
\(821\) | −5.49098 | − | 16.8995i | −0.191636 | − | 0.589796i | −0.999999 | − | 0.00111177i | \(-0.999646\pi\) |
0.808363 | − | 0.588684i | \(-0.200354\pi\) | |||||||
\(822\) | −17.9981 | − | 22.4263i | −0.627757 | − | 0.782205i | ||||
\(823\) | −36.8421 | − | 26.7674i | −1.28424 | − | 0.933052i | −0.284564 | − | 0.958657i | \(-0.591849\pi\) |
−0.999672 | + | 0.0256052i | \(0.991849\pi\) | |||||||
\(824\) | 10.6591 | 0.371327 | ||||||||
\(825\) | 0.283207 | − | 35.7234i | 0.00986001 | − | 1.24373i | ||||
\(826\) | 6.80005 | 0.236604 | ||||||||
\(827\) | −22.6418 | − | 16.4502i | −0.787333 | − | 0.572031i | 0.119838 | − | 0.992794i | \(-0.461763\pi\) |
−0.907171 | + | 0.420762i | \(0.861763\pi\) | |||||||
\(828\) | −0.945737 | − | 9.82651i | −0.0328666 | − | 0.341495i | ||||
\(829\) | −3.50843 | − | 10.7978i | −0.121853 | − | 0.375024i | 0.871462 | − | 0.490464i | \(-0.163173\pi\) |
−0.993315 | + | 0.115439i | \(0.963173\pi\) | |||||||
\(830\) | 1.23073 | + | 1.69395i | 0.0427191 | + | 0.0587978i | ||||
\(831\) | 0.865395 | + | 18.0250i | 0.0300202 | + | 0.625281i | ||||
\(832\) | 2.82194 | − | 0.916903i | 0.0978331 | − | 0.0317879i | ||||
\(833\) | 0.607279 | − | 1.86901i | 0.0210410 | − | 0.0647575i | ||||
\(834\) | 26.1325 | − | 9.90003i | 0.904893 | − | 0.342810i | ||||
\(835\) | 14.7178i | 0.509332i | ||||||||
\(836\) | 6.37073 | − | 16.4222i | 0.220336 | − | 0.567975i | ||||
\(837\) | 5.75305 | − | 33.4672i | 0.198854 | − | 1.15679i | ||||
\(838\) | −17.8870 | + | 24.6193i | −0.617895 | + | 0.850460i | ||||
\(839\) | −11.9547 | − | 3.88433i | −0.412724 | − | 0.134102i | 0.0952931 | − | 0.995449i | \(-0.469621\pi\) |
−0.508017 | + | 0.861347i | \(0.669621\pi\) | |||||||
\(840\) | 1.52608 | − | 5.59711i | 0.0526548 | − | 0.193118i | ||||
\(841\) | 15.2563 | − | 11.0844i | 0.526080 | − | 0.382220i | ||||
\(842\) | 29.2346 | − | 21.2402i | 1.00749 | − | 0.731985i | ||||
\(843\) | 3.89599 | − | 14.2890i | 0.134185 | − | 0.492141i | ||||
\(844\) | 17.6884 | + | 5.74730i | 0.608859 | + | 0.197830i | ||||
\(845\) | −8.26082 | + | 11.3700i | −0.284181 | + | 0.391141i | ||||
\(846\) | 11.6741 | − | 5.07543i | 0.401365 | − | 0.174497i | ||||
\(847\) | 10.0171 | + | 4.54517i | 0.344190 | + | 0.156174i | ||||
\(848\) | 12.2168i | 0.419525i | ||||||||
\(849\) | 42.7473 | − | 16.1944i | 1.46708 | − | 0.555790i | ||||
\(850\) | −3.77657 | + | 11.6231i | −0.129535 | + | 0.398669i | ||||
\(851\) | −2.53714 | + | 0.824367i | −0.0869721 | + | 0.0282589i | ||||
\(852\) | 0.760244 | + | 15.8349i | 0.0260455 | + | 0.542493i | ||||
\(853\) | −9.04093 | − | 12.4438i | −0.309556 | − | 0.426067i | 0.625687 | − | 0.780074i | \(-0.284819\pi\) |
−0.935243 | + | 0.354007i | \(0.884819\pi\) | |||||||
\(854\) | 4.75953 | + | 14.6483i | 0.162868 | + | 0.501256i | ||||
\(855\) | −53.1215 | + | 5.11260i | −1.81672 | + | 0.174847i | ||||
\(856\) | 0.314505 | + | 0.228502i | 0.0107496 | + | 0.00781002i | ||||
\(857\) | 18.5694 | 0.634320 | 0.317160 | − | 0.948372i | \(-0.397271\pi\) | ||||
0.317160 | + | 0.948372i | \(0.397271\pi\) | |||||||
\(858\) | 13.8687 | − | 9.90919i | 0.473470 | − | 0.338294i | ||||
\(859\) | −38.4864 | −1.31314 | −0.656570 | − | 0.754265i | \(-0.727993\pi\) | ||||
−0.656570 | + | 0.754265i | \(0.727993\pi\) | |||||||
\(860\) | 18.8201 | + | 13.6736i | 0.641759 | + | 0.466265i | ||||
\(861\) | −9.16769 | − | 11.4232i | −0.312434 | − | 0.389303i | ||||
\(862\) | 8.20939 | + | 25.2659i | 0.279613 | + | 0.860560i | ||||
\(863\) | 18.3519 | + | 25.2593i | 0.624707 | + | 0.859836i | 0.997685 | − | 0.0680043i | \(-0.0216632\pi\) |
−0.372978 | + | 0.927840i | \(0.621663\pi\) | |||||||
\(864\) | −2.29788 | − | 4.66044i | −0.0781756 | − | 0.158552i | ||||
\(865\) | −7.31875 | + | 2.37801i | −0.248845 | + | 0.0808546i | ||||
\(866\) | 0.366960 | − | 1.12939i | 0.0124698 | − | 0.0383781i | ||||
\(867\) | −8.06165 | − | 21.2798i | −0.273788 | − | 0.722701i | ||||
\(868\) | − | 6.53523i | − | 0.221820i | ||||||
\(869\) | 3.11424 | − | 2.00676i | 0.105643 | − | 0.0680748i | ||||
\(870\) | 10.1304 | − | 15.4507i | 0.343453 | − | 0.523828i | ||||
\(871\) | 0.508464 | − | 0.699841i | 0.0172286 | − | 0.0237132i | ||||
\(872\) | −0.301151 | − | 0.0978498i | −0.0101983 | − | 0.00331361i | ||||
\(873\) | −19.7526 | + | 17.4740i | −0.668524 | + | 0.591406i | ||||
\(874\) | −14.1389 | + | 10.2725i | −0.478255 | + | 0.347473i | ||||
\(875\) | −3.30276 | + | 2.39960i | −0.111654 | + | 0.0811212i | ||||
\(876\) | −21.7719 | − | 5.93623i | −0.735604 | − | 0.200567i | ||||
\(877\) | 8.44949 | + | 2.74541i | 0.285319 | + | 0.0927058i | 0.448180 | − | 0.893943i | \(-0.352072\pi\) |
−0.162861 | + | 0.986649i | \(0.552072\pi\) | |||||||
\(878\) | −15.2512 | + | 20.9914i | −0.514701 | + | 0.708426i | ||||
\(879\) | −23.5965 | − | 15.4713i | −0.795889 | − | 0.521834i | ||||
\(880\) | −8.60841 | − | 7.02158i | −0.290189 | − | 0.236697i | ||||
\(881\) | 16.7076i | 0.562893i | 0.959577 | + | 0.281446i | \(0.0908142\pi\) | ||||
−0.959577 | + | 0.281446i | \(0.909186\pi\) | |||||||
\(882\) | 0.649451 | − | 2.92886i | 0.0218682 | − | 0.0986198i | ||||
\(883\) | −2.68601 | + | 8.26670i | −0.0903916 | + | 0.278197i | −0.986025 | − | 0.166596i | \(-0.946723\pi\) |
0.895634 | + | 0.444792i | \(0.146723\pi\) | |||||||
\(884\) | −5.54567 | + | 1.80190i | −0.186521 | + | 0.0606043i | ||||
\(885\) | −39.4046 | + | 1.89185i | −1.32457 | + | 0.0635937i | ||||
\(886\) | 21.6411 | + | 29.7864i | 0.727047 | + | 1.00069i | ||||
\(887\) | −4.92600 | − | 15.1607i | −0.165399 | − | 0.509046i | 0.833666 | − | 0.552268i | \(-0.186238\pi\) |
−0.999065 | + | 0.0432224i | \(0.986238\pi\) | |||||||
\(888\) | −1.09511 | + | 0.878876i | −0.0367494 | + | 0.0294932i | ||||
\(889\) | 11.4773 | + | 8.33877i | 0.384937 | + | 0.279673i | ||||
\(890\) | 29.8085 | 0.999182 | ||||||||
\(891\) | −20.6572 | − | 21.5472i | −0.692041 | − | 0.721858i | ||||
\(892\) | −0.953938 | −0.0319402 | ||||||||
\(893\) | −18.2319 | − | 13.2463i | −0.610108 | − | 0.443269i | ||||
\(894\) | 14.7852 | − | 11.8658i | 0.494492 | − | 0.396853i | ||||
\(895\) | 13.6318 | + | 41.9542i | 0.455659 | + | 1.40237i | ||||
\(896\) | −0.587785 | − | 0.809017i | −0.0196365 | − | 0.0270274i | ||||
\(897\) | −16.8920 | + | 0.811000i | −0.564009 | + | 0.0270785i | ||||
\(898\) | −6.02133 | + | 1.95645i | −0.200934 | + | 0.0652876i | ||||
\(899\) | 6.43144 | − | 19.7939i | 0.214501 | − | 0.660165i | ||||
\(900\) | −4.03883 | + | 18.2141i | −0.134628 | + | 0.607137i | ||||
\(901\) | − | 24.0083i | − | 0.799833i | ||||||
\(902\) | −27.1169 | + | 7.16311i | −0.902894 | + | 0.238506i | ||||
\(903\) | 10.0600 | + | 6.59596i | 0.334776 | + | 0.219500i | ||||
\(904\) | 10.9886 | − | 15.1245i | 0.365475 | − | 0.503033i | ||||
\(905\) | −83.3716 | − | 27.0891i | −2.77137 | − | 0.900471i | ||||
\(906\) | −23.8386 | − | 6.49973i | −0.791985 | − | 0.215939i | ||||
\(907\) | −8.54347 | + | 6.20720i | −0.283681 | + | 0.206107i | −0.720522 | − | 0.693433i | \(-0.756098\pi\) |
0.436840 | + | 0.899539i | \(0.356098\pi\) | |||||||
\(908\) | −1.90979 | + | 1.38755i | −0.0633787 | + | 0.0460473i | ||||
\(909\) | 36.9815 | − | 32.7154i | 1.22660 | − | 1.08510i | ||||
\(910\) | −9.45195 | − | 3.07113i | −0.313329 | − | 0.101807i | ||||
\(911\) | −25.2711 | + | 34.7828i | −0.837271 | + | 1.15240i | 0.149255 | + | 0.988799i | \(0.452312\pi\) |
−0.986526 | + | 0.163605i | \(0.947688\pi\) | |||||||
\(912\) | −5.04390 | + | 7.69284i | −0.167020 | + | 0.254735i | ||||
\(913\) | 2.00455 | − | 0.529517i | 0.0663411 | − | 0.0175244i | ||||
\(914\) | − | 4.29104i | − | 0.141935i | ||||||
\(915\) | −31.6556 | − | 83.5593i | −1.04650 | − | 2.76238i | ||||
\(916\) | 3.09641 | − | 9.52978i | 0.102308 | − | 0.314873i | ||||
\(917\) | −6.99576 | + | 2.27306i | −0.231020 | + | 0.0750630i | ||||
\(918\) | 4.51579 | + | 9.15869i | 0.149043 | + | 0.302282i | ||||
\(919\) | −14.3381 | − | 19.7347i | −0.472969 | − | 0.650986i | 0.504166 | − | 0.863607i | \(-0.331800\pi\) |
−0.977135 | + | 0.212621i | \(0.931800\pi\) | |||||||
\(920\) | 3.40594 | + | 10.4824i | 0.112290 | + | 0.345594i | ||||
\(921\) | 19.4029 | + | 24.1766i | 0.639346 | + | 0.796646i | ||||
\(922\) | −0.641624 | − | 0.466167i | −0.0211308 | − | 0.0153524i | ||||
\(923\) | 27.1578 | 0.893910 | ||||||||
\(924\) | −4.62053 | − | 3.41331i | −0.152004 | − | 0.112290i | ||||
\(925\) | 5.04159 | 0.165766 | ||||||||
\(926\) | −22.3152 | − | 16.2129i | −0.733322 | − | 0.532790i | ||||
\(927\) | −31.8302 | + | 3.06344i | −1.04544 | + | 0.100617i | ||||
\(928\) | −0.984118 | − | 3.02880i | −0.0323053 | − | 0.0994254i | ||||
\(929\) | −8.39883 | − | 11.5600i | −0.275557 | − | 0.379271i | 0.648699 | − | 0.761045i | \(-0.275313\pi\) |
−0.924256 | + | 0.381774i | \(0.875313\pi\) | |||||||
\(930\) | 1.81817 | + | 37.8700i | 0.0596201 | + | 1.24181i | ||||
\(931\) | −5.05108 | + | 1.64119i | −0.165542 | + | 0.0537880i | ||||
\(932\) | −0.0949223 | + | 0.292141i | −0.00310928 | + | 0.00956939i | ||||
\(933\) | −32.6814 | + | 12.3810i | −1.06994 | + | 0.405336i | ||||
\(934\) | − | 2.24848i | − | 0.0735726i | ||||||
\(935\) | 16.9172 | + | 13.7988i | 0.553252 | + | 0.451268i | ||||
\(936\) | −8.16336 | + | 3.54909i | −0.266828 | + | 0.116006i | ||||
\(937\) | 32.1674 | − | 44.2746i | 1.05086 | − | 1.44639i | 0.162803 | − | 0.986659i | \(-0.447947\pi\) |
0.888059 | − | 0.459729i | \(-0.152053\pi\) | |||||||
\(938\) | −0.277272 | − | 0.0900912i | −0.00905326 | − | 0.00294158i | ||||
\(939\) | −3.06005 | + | 11.2231i | −0.0998608 | + | 0.366253i | ||||
\(940\) | −11.4982 | + | 8.35391i | −0.375029 | + | 0.272474i | ||||
\(941\) | 1.77805 | − | 1.29183i | 0.0579629 | − | 0.0421125i | −0.558427 | − | 0.829554i | \(-0.688595\pi\) |
0.616389 | + | 0.787441i | \(0.288595\pi\) | |||||||
\(942\) | −9.19104 | + | 33.7093i | −0.299460 | + | 1.09831i | ||||
\(943\) | 26.4653 | + | 8.59910i | 0.861829 | + | 0.280025i | ||||
\(944\) | −3.99697 | + | 5.50136i | −0.130090 | + | 0.179054i | ||||
\(945\) | −2.94857 | + | 17.1527i | −0.0959169 | + | 0.557977i | ||||
\(946\) | 19.3630 | − | 12.4772i | 0.629545 | − | 0.405668i | ||||
\(947\) | 13.1313i | 0.426709i | 0.976975 | + | 0.213354i | \(0.0684389\pi\) | ||||
−0.976975 | + | 0.213354i | \(0.931561\pi\) | |||||||
\(948\) | −1.80929 | + | 0.685431i | −0.0587629 | + | 0.0222618i | ||||
\(949\) | −11.9462 | + | 36.7667i | −0.387791 | + | 1.19350i | ||||
\(950\) | 31.4118 | − | 10.2063i | 1.01913 | − | 0.331137i | ||||
\(951\) | 1.47066 | + | 30.6318i | 0.0476893 | + | 0.993304i | ||||
\(952\) | 1.15511 | + | 1.58988i | 0.0374375 | + | 0.0515282i | ||||
\(953\) | 17.7408 | + | 54.6007i | 0.574682 | + | 1.76869i | 0.637260 | + | 0.770649i | \(0.280068\pi\) |
−0.0625783 | + | 0.998040i | \(0.519932\pi\) | |||||||
\(954\) | −3.51112 | − | 36.4817i | −0.113677 | − | 1.18114i | ||||
\(955\) | 29.4852 | + | 21.4223i | 0.954119 | + | 0.693208i | ||||
\(956\) | 16.6197 | 0.537519 | ||||||||
\(957\) | −10.6356 | − | 14.8854i | −0.343800 | − | 0.481176i | ||||
\(958\) | 14.9160 | 0.481915 | ||||||||
\(959\) | 13.4312 | + | 9.75835i | 0.433717 | + | 0.315114i | ||||
\(960\) | 3.63114 | + | 4.52452i | 0.117195 | + | 0.146028i | ||||
\(961\) | 3.61835 | + | 11.1361i | 0.116721 | + | 0.359231i | ||||
\(962\) | 1.41390 | + | 1.94606i | 0.0455859 | + | 0.0627436i | ||||
\(963\) | −1.00485 | − | 0.591962i | −0.0323808 | − | 0.0190757i | ||||
\(964\) | 20.0631 | − | 6.51891i | 0.646190 | − | 0.209960i | ||||
\(965\) | 11.1364 | − | 34.2744i | 0.358495 | − | 1.10333i | ||||
\(966\) | 2.01918 | + | 5.32990i | 0.0649660 | + | 0.171487i | ||||
\(967\) | − | 6.11095i | − | 0.196515i | −0.995161 | − | 0.0982575i | \(-0.968673\pi\) | ||
0.995161 | − | 0.0982575i | \(-0.0313269\pi\) | |||||||
\(968\) | −9.56500 | + | 5.43238i | −0.307431 | + | 0.174603i | ||||
\(969\) | 9.91225 | − | 15.1179i | 0.318427 | − | 0.485658i | ||||
\(970\) | 17.3070 | − | 23.8210i | 0.555694 | − | 0.764848i | ||||
\(971\) | −0.953745 | − | 0.309890i | −0.0306071 | − | 0.00994486i | 0.293673 | − | 0.955906i | \(-0.405122\pi\) |
−0.324281 | + | 0.945961i | \(0.605122\pi\) | |||||||
\(972\) | 8.20136 | + | 13.2566i | 0.263059 | + | 0.425206i | ||||
\(973\) | −13.0527 | + | 9.48331i | −0.418449 | + | 0.304021i | ||||
\(974\) | −19.5835 | + | 14.2283i | −0.627496 | + | 0.455903i | ||||
\(975\) | 30.8347 | + | 8.40726i | 0.987501 | + | 0.269248i | ||||
\(976\) | −14.6483 | − | 4.75953i | −0.468882 | − | 0.152349i | ||||
\(977\) | 22.0343 | − | 30.3277i | 0.704941 | − | 0.970268i | −0.294950 | − | 0.955513i | \(-0.595303\pi\) |
0.999891 | − | 0.0147556i | \(-0.00469704\pi\) | |||||||
\(978\) | −8.58488 | − | 5.62877i | −0.274514 | − | 0.179988i | ||||
\(979\) | 10.6752 | − | 27.5182i | 0.341182 | − | 0.879485i | ||||
\(980\) | 3.34945i | 0.106994i | ||||||||
\(981\) | 0.927419 | + | 0.205648i | 0.0296102 | + | 0.00656583i | ||||
\(982\) | −2.61492 | + | 8.04788i | −0.0834453 | + | 0.256818i | ||||
\(983\) | 2.43633 | − | 0.791611i | 0.0777068 | − | 0.0252485i | −0.269906 | − | 0.962887i | \(-0.586992\pi\) |
0.347612 | + | 0.937638i | \(0.386992\pi\) | |||||||
\(984\) | 14.6302 | − | 0.702409i | 0.466395 | − | 0.0223920i | ||||
\(985\) | −11.4721 | − | 15.7900i | −0.365531 | − | 0.503110i | ||||
\(986\) | 1.93399 | + | 5.95220i | 0.0615907 | + | 0.189557i | ||||
\(987\) | −5.73186 | + | 4.60009i | −0.182447 | + | 0.146423i | ||||
\(988\) | 12.7490 | + | 9.26270i | 0.405600 | + | 0.294686i | ||||
\(989\) | −22.8544 | −0.726727 | ||||||||
\(990\) | 27.7245 | + | 18.4938i | 0.881141 | + | 0.587771i | ||||
\(991\) | 4.09723 | 0.130153 | 0.0650765 | − | 0.997880i | \(-0.479271\pi\) | ||||
0.0650765 | + | 0.997880i | \(0.479271\pi\) | |||||||
\(992\) | 5.28711 | + | 3.84131i | 0.167866 | + | 0.121962i | ||||
\(993\) | 28.3252 | − | 22.7323i | 0.898872 | − | 0.721388i | ||||
\(994\) | −2.82837 | − | 8.70482i | −0.0897103 | − | 0.276100i | ||||
\(995\) | −41.5376 | − | 57.1716i | −1.31683 | − | 1.81246i | ||||
\(996\) | −1.08151 | + | 0.0519240i | −0.0342688 | + | 0.00164527i | ||||
\(997\) | 19.7978 | − | 6.43271i | 0.627004 | − | 0.203726i | 0.0217563 | − | 0.999763i | \(-0.493074\pi\) |
0.605247 | + | 0.796037i | \(0.293074\pi\) | |||||||
\(998\) | 1.67031 | − | 5.14067i | 0.0528726 | − | 0.162725i | ||||
\(999\) | 3.01762 | − | 2.93924i | 0.0954734 | − | 0.0929934i |
(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 | 462.2.w.b.29.3 | yes | 48 | |
3.2 | odd | 2 | 462.2.w.a.29.8 | ✓ | 48 | ||
11.8 | odd | 10 | 462.2.w.a.239.8 | yes | 48 | ||
33.8 | even | 10 | inner | 462.2.w.b.239.3 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.w.a.29.8 | ✓ | 48 | 3.2 | odd | 2 | ||
462.2.w.a.239.8 | yes | 48 | 11.8 | odd | 10 | ||
462.2.w.b.29.3 | yes | 48 | 1.1 | even | 1 | trivial | |
462.2.w.b.239.3 | yes | 48 | 33.8 | even | 10 | inner |