Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.13 | ||
Character | \(\chi\) | \(=\) | 300.67 |
Dual form | 300.2.w.a.103.13 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.344199 | − | 1.37169i | −0.243385 | − | 0.969930i | ||||
\(3\) | 0.987688 | + | 0.156434i | 0.570242 | + | 0.0903175i | ||||
\(4\) | −1.76305 | + | 0.944266i | −0.881527 | + | 0.472133i | ||||
\(5\) | 1.92573 | − | 1.13647i | 0.861212 | − | 0.508247i | ||||
\(6\) | −0.125382 | − | 1.40864i | −0.0511869 | − | 0.575077i | ||||
\(7\) | 0.176718 | − | 0.176718i | 0.0667932 | − | 0.0667932i | −0.672921 | − | 0.739714i | \(-0.734961\pi\) |
0.739714 | + | 0.672921i | \(0.234961\pi\) | |||||||
\(8\) | 1.90208 | + | 2.09335i | 0.672487 | + | 0.740109i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | −2.22172 | − | 2.25032i | −0.702570 | − | 0.711615i | ||||
\(11\) | 2.50557 | − | 0.814109i | 0.755458 | − | 0.245463i | 0.0941298 | − | 0.995560i | \(-0.469993\pi\) |
0.661328 | + | 0.750097i | \(0.269993\pi\) | |||||||
\(12\) | −1.88906 | + | 0.656838i | −0.545326 | + | 0.189613i | ||||
\(13\) | −0.0867616 | − | 0.170279i | −0.0240634 | − | 0.0472270i | 0.878662 | − | 0.477445i | \(-0.158437\pi\) |
−0.902725 | + | 0.430218i | \(0.858437\pi\) | |||||||
\(14\) | −0.303228 | − | 0.181576i | −0.0810412 | − | 0.0485282i | ||||
\(15\) | 2.07980 | − | 0.821232i | 0.537003 | − | 0.212041i | ||||
\(16\) | 2.21672 | − | 3.32959i | 0.554181 | − | 0.832396i | ||||
\(17\) | −0.150917 | − | 0.952856i | −0.0366029 | − | 0.231101i | 0.962604 | − | 0.270911i | \(-0.0873249\pi\) |
−0.999207 | + | 0.0398095i | \(0.987325\pi\) | |||||||
\(18\) | 0.0965224 | − | 1.41092i | 0.0227506 | − | 0.332556i | ||||
\(19\) | −3.11382 | − | 2.26232i | −0.714359 | − | 0.519012i | 0.170218 | − | 0.985406i | \(-0.445553\pi\) |
−0.884577 | + | 0.466394i | \(0.845553\pi\) | |||||||
\(20\) | −2.32203 | + | 3.82207i | −0.519221 | + | 0.854640i | ||||
\(21\) | 0.202187 | − | 0.146898i | 0.0441209 | − | 0.0320557i | ||||
\(22\) | −1.97912 | − | 3.15664i | −0.421949 | − | 0.672999i | ||||
\(23\) | −1.11018 | + | 2.17885i | −0.231488 | + | 0.454322i | −0.977307 | − | 0.211827i | \(-0.932059\pi\) |
0.745819 | + | 0.666149i | \(0.232059\pi\) | |||||||
\(24\) | 1.55119 | + | 2.36512i | 0.316635 | + | 0.482779i | ||||
\(25\) | 2.41685 | − | 4.37708i | 0.483371 | − | 0.875416i | ||||
\(26\) | −0.203707 | + | 0.177620i | −0.0399502 | + | 0.0348341i | ||||
\(27\) | 0.891007 | + | 0.453990i | 0.171474 | + | 0.0873705i | ||||
\(28\) | −0.144695 | + | 0.478433i | −0.0273447 | + | 0.0904153i | ||||
\(29\) | 2.72431 | + | 3.74969i | 0.505891 | + | 0.696299i | 0.983220 | − | 0.182426i | \(-0.0583949\pi\) |
−0.477329 | + | 0.878725i | \(0.658395\pi\) | |||||||
\(30\) | −1.84234 | − | 2.57017i | −0.336364 | − | 0.469247i | ||||
\(31\) | 4.34632 | − | 5.98219i | 0.780621 | − | 1.07443i | −0.214592 | − | 0.976704i | \(-0.568842\pi\) |
0.995213 | − | 0.0977292i | \(-0.0311579\pi\) | |||||||
\(32\) | −5.33014 | − | 1.89461i | −0.942245 | − | 0.334923i | ||||
\(33\) | 2.60208 | − | 0.412129i | 0.452964 | − | 0.0717424i | ||||
\(34\) | −1.25507 | + | 0.534983i | −0.215244 | + | 0.0917489i | ||||
\(35\) | 0.139475 | − | 0.541147i | 0.0235756 | − | 0.0914705i | ||||
\(36\) | −1.96856 | + | 0.353237i | −0.328093 | + | 0.0588728i | ||||
\(37\) | −10.3242 | + | 5.26047i | −1.69730 | + | 0.864815i | −0.710333 | + | 0.703865i | \(0.751456\pi\) |
−0.986963 | + | 0.160950i | \(0.948544\pi\) | |||||||
\(38\) | −2.03143 | + | 5.04988i | −0.329541 | + | 0.819198i | ||||
\(39\) | −0.0590559 | − | 0.181755i | −0.00945651 | − | 0.0291042i | ||||
\(40\) | 6.04192 | + | 1.86955i | 0.955311 | + | 0.295602i | ||||
\(41\) | −1.65043 | + | 5.07949i | −0.257753 | + | 0.793283i | 0.735521 | + | 0.677502i | \(0.236937\pi\) |
−0.993275 | + | 0.115782i | \(0.963063\pi\) | |||||||
\(42\) | −0.271090 | − | 0.226776i | −0.0418301 | − | 0.0349923i | ||||
\(43\) | −6.04379 | − | 6.04379i | −0.921670 | − | 0.921670i | 0.0754777 | − | 0.997147i | \(-0.475952\pi\) |
−0.997147 | + | 0.0754777i | \(0.975952\pi\) | |||||||
\(44\) | −3.64872 | + | 3.80124i | −0.550065 | + | 0.573059i | ||||
\(45\) | 2.18267 | − | 0.485769i | 0.325373 | − | 0.0724141i | ||||
\(46\) | 3.37082 | + | 0.772862i | 0.497001 | + | 0.113952i | ||||
\(47\) | −0.924721 | + | 5.83846i | −0.134884 | + | 0.851626i | 0.823743 | + | 0.566963i | \(0.191882\pi\) |
−0.958628 | + | 0.284663i | \(0.908118\pi\) | |||||||
\(48\) | 2.71029 | − | 2.94182i | 0.391197 | − | 0.424615i | ||||
\(49\) | 6.93754i | 0.991077i | ||||||||
\(50\) | −6.83586 | − | 1.80858i | −0.966737 | − | 0.255772i | ||||
\(51\) | − | 0.964733i | − | 0.135090i | ||||||
\(52\) | 0.313755 | + | 0.218286i | 0.0435099 | + | 0.0302708i | ||||
\(53\) | 0.172149 | − | 1.08691i | 0.0236465 | − | 0.149298i | −0.973040 | − | 0.230636i | \(-0.925919\pi\) |
0.996687 | + | 0.0813380i | \(0.0259193\pi\) | |||||||
\(54\) | 0.316050 | − | 1.37845i | 0.0430089 | − | 0.187583i | ||||
\(55\) | 3.89983 | − | 4.41527i | 0.525853 | − | 0.595355i | ||||
\(56\) | 0.706064 | + | 0.0338001i | 0.0943518 | + | 0.00451673i | ||||
\(57\) | −2.72158 | − | 2.72158i | −0.360482 | − | 0.360482i | ||||
\(58\) | 4.20570 | − | 5.02753i | 0.552235 | − | 0.660148i | ||||
\(59\) | 0.0901046 | − | 0.277314i | 0.0117306 | − | 0.0361031i | −0.945020 | − | 0.327013i | \(-0.893958\pi\) |
0.956750 | + | 0.290910i | \(0.0939579\pi\) | |||||||
\(60\) | −2.89134 | + | 3.41176i | −0.373271 | + | 0.440457i | ||||
\(61\) | 3.76061 | + | 11.5740i | 0.481496 | + | 1.48189i | 0.836992 | + | 0.547215i | \(0.184312\pi\) |
−0.355496 | + | 0.934678i | \(0.615688\pi\) | |||||||
\(62\) | −9.70169 | − | 3.90273i | −1.23212 | − | 0.495647i | ||||
\(63\) | 0.222678 | − | 0.113460i | 0.0280548 | − | 0.0142946i | ||||
\(64\) | −0.764188 | + | 7.96342i | −0.0955234 | + | 0.995427i | ||||
\(65\) | −0.360597 | − | 0.229309i | −0.0447266 | − | 0.0284423i | ||||
\(66\) | −1.46094 | − | 3.42738i | −0.179830 | − | 0.421882i | ||||
\(67\) | 10.2944 | − | 1.63047i | 1.25766 | − | 0.199193i | 0.508196 | − | 0.861242i | \(-0.330313\pi\) |
0.749461 | + | 0.662048i | \(0.230313\pi\) | |||||||
\(68\) | 1.16583 | + | 1.53743i | 0.141377 | + | 0.186441i | ||||
\(69\) | −1.43736 | + | 1.97835i | −0.173038 | + | 0.238166i | ||||
\(70\) | −0.790291 | − | 0.00505473i | −0.0944579 | − | 0.000604155i | ||||
\(71\) | 5.12235 | + | 7.05030i | 0.607911 | + | 0.836717i | 0.996404 | − | 0.0847346i | \(-0.0270042\pi\) |
−0.388493 | + | 0.921452i | \(0.627004\pi\) | |||||||
\(72\) | 1.16211 | + | 2.57866i | 0.136955 | + | 0.303899i | ||||
\(73\) | −4.09140 | − | 2.08467i | −0.478862 | − | 0.243993i | 0.197861 | − | 0.980230i | \(-0.436601\pi\) |
−0.676723 | + | 0.736238i | \(0.736601\pi\) | |||||||
\(74\) | 10.7693 | + | 12.3510i | 1.25191 | + | 1.43577i | ||||
\(75\) | 3.07182 | − | 3.94511i | 0.354704 | − | 0.455542i | ||||
\(76\) | 7.62607 | + | 1.04832i | 0.874770 | + | 0.120251i | ||||
\(77\) | 0.298912 | − | 0.586648i | 0.0340642 | − | 0.0668547i | ||||
\(78\) | −0.228985 | + | 0.143566i | −0.0259274 | + | 0.0162557i | ||||
\(79\) | −9.57962 | + | 6.96000i | −1.07779 | + | 0.783061i | −0.977297 | − | 0.211876i | \(-0.932043\pi\) |
−0.100495 | + | 0.994938i | \(0.532043\pi\) | |||||||
\(80\) | 0.484816 | − | 8.93112i | 0.0542040 | − | 0.998530i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | 7.53555 | + | 0.515516i | 0.832162 | + | 0.0569292i | ||||
\(83\) | 1.04899 | + | 6.62308i | 0.115142 | + | 0.726978i | 0.975941 | + | 0.218033i | \(0.0699641\pi\) |
−0.860799 | + | 0.508944i | \(0.830036\pi\) | |||||||
\(84\) | −0.217757 | + | 0.449907i | −0.0237592 | + | 0.0490889i | ||||
\(85\) | −1.37352 | − | 1.66343i | −0.148979 | − | 0.180424i | ||||
\(86\) | −6.20993 | + | 10.3705i | −0.669634 | + | 1.11828i | ||||
\(87\) | 2.10419 | + | 4.12970i | 0.225592 | + | 0.442750i | ||||
\(88\) | 6.47000 | + | 3.69652i | 0.689705 | + | 0.394051i | ||||
\(89\) | 13.6637 | − | 4.43960i | 1.44835 | − | 0.470596i | 0.523858 | − | 0.851806i | \(-0.324492\pi\) |
0.924489 | + | 0.381209i | \(0.124492\pi\) | |||||||
\(90\) | −1.41759 | − | 2.82673i | −0.149427 | − | 0.297964i | ||||
\(91\) | −0.0454238 | − | 0.0147591i | −0.00476171 | − | 0.00154717i | ||||
\(92\) | −0.100107 | − | 4.88974i | −0.0104369 | − | 0.509790i | ||||
\(93\) | 5.22863 | − | 5.22863i | 0.542183 | − | 0.542183i | ||||
\(94\) | 8.32683 | − | 0.741161i | 0.858847 | − | 0.0764449i | ||||
\(95\) | −8.56744 | − | 0.817841i | −0.879001 | − | 0.0839087i | ||||
\(96\) | −4.96814 | − | 2.70510i | −0.507059 | − | 0.276089i | ||||
\(97\) | −4.05542 | − | 0.642315i | −0.411765 | − | 0.0652172i | −0.0528846 | − | 0.998601i | \(-0.516842\pi\) |
−0.358881 | + | 0.933383i | \(0.616842\pi\) | |||||||
\(98\) | 9.51614 | − | 2.38789i | 0.961275 | − | 0.241214i | ||||
\(99\) | 2.63451 | 0.264778 | ||||||||
\(100\) | −0.127915 | + | 9.99918i | −0.0127915 | + | 0.999918i | ||||
\(101\) | 6.83240 | 0.679849 | 0.339925 | − | 0.940453i | \(-0.389598\pi\) | ||||
0.339925 | + | 0.940453i | \(0.389598\pi\) | |||||||
\(102\) | −1.32331 | + | 0.332060i | −0.131027 | + | 0.0328788i | ||||
\(103\) | −8.36102 | − | 1.32426i | −0.823836 | − | 0.130483i | −0.269738 | − | 0.962934i | \(-0.586937\pi\) |
−0.554099 | + | 0.832451i | \(0.686937\pi\) | |||||||
\(104\) | 0.191426 | − | 0.505507i | 0.0187708 | − | 0.0495690i | ||||
\(105\) | 0.222412 | − | 0.512665i | 0.0217052 | − | 0.0500310i | ||||
\(106\) | −1.55015 | + | 0.137977i | −0.150564 | + | 0.0134015i | ||||
\(107\) | −9.24105 | + | 9.24105i | −0.893366 | + | 0.893366i | −0.994838 | − | 0.101472i | \(-0.967645\pi\) |
0.101472 | + | 0.994838i | \(0.467645\pi\) | |||||||
\(108\) | −1.99958 | + | 0.0409374i | −0.192410 | + | 0.00393920i | ||||
\(109\) | −16.9198 | − | 5.49758i | −1.62062 | − | 0.526573i | −0.648535 | − | 0.761185i | \(-0.724618\pi\) |
−0.972089 | + | 0.234612i | \(0.924618\pi\) | |||||||
\(110\) | −7.39869 | − | 3.82962i | −0.705437 | − | 0.365140i | ||||
\(111\) | −11.0201 | + | 3.58063i | −1.04598 | + | 0.339859i | ||||
\(112\) | −0.196663 | − | 0.980133i | −0.0185829 | − | 0.0926139i | ||||
\(113\) | −6.56615 | − | 12.8868i | −0.617691 | − | 1.21229i | −0.961902 | − | 0.273395i | \(-0.911853\pi\) |
0.344211 | − | 0.938892i | \(-0.388147\pi\) | |||||||
\(114\) | −2.79639 | + | 4.66992i | −0.261906 | + | 0.437378i | ||||
\(115\) | 0.338304 | + | 5.45756i | 0.0315470 | + | 0.508920i | ||||
\(116\) | −8.34380 | − | 4.03843i | −0.774703 | − | 0.374959i | ||||
\(117\) | −0.0298960 | − | 0.188756i | −0.00276389 | − | 0.0174505i | ||||
\(118\) | −0.411401 | − | 0.0281445i | −0.0378726 | − | 0.00259091i | ||||
\(119\) | −0.195057 | − | 0.141717i | −0.0178808 | − | 0.0129912i | ||||
\(120\) | 5.67507 | + | 2.79170i | 0.518061 | + | 0.254846i | ||||
\(121\) | −3.28408 | + | 2.38602i | −0.298553 | + | 0.216911i | ||||
\(122\) | 14.5815 | − | 9.14212i | 1.32014 | − | 0.827688i | ||||
\(123\) | −2.42471 | + | 4.75877i | −0.218629 | + | 0.429084i | ||||
\(124\) | −2.01401 | + | 14.6510i | −0.180864 | + | 1.31570i | ||||
\(125\) | −0.320238 | − | 11.1758i | −0.0286429 | − | 0.999590i | ||||
\(126\) | −0.232277 | − | 0.266392i | −0.0206929 | − | 0.0237321i | ||||
\(127\) | −0.529736 | − | 0.269914i | −0.0470064 | − | 0.0239510i | 0.430329 | − | 0.902672i | \(-0.358397\pi\) |
−0.477336 | + | 0.878721i | \(0.658397\pi\) | |||||||
\(128\) | 11.1864 | − | 1.69277i | 0.988743 | − | 0.149621i | ||||
\(129\) | −5.02393 | − | 6.91484i | −0.442332 | − | 0.608818i | ||||
\(130\) | −0.190423 | + | 0.573555i | −0.0167012 | + | 0.0503041i | ||||
\(131\) | 7.32463 | − | 10.0815i | 0.639956 | − | 0.880824i | −0.358657 | − | 0.933469i | \(-0.616765\pi\) |
0.998613 | + | 0.0526455i | \(0.0167653\pi\) | |||||||
\(132\) | −4.19844 | + | 3.18366i | −0.365428 | + | 0.277102i | ||||
\(133\) | −0.950062 | + | 0.150475i | −0.0823808 | + | 0.0130478i | ||||
\(134\) | −5.77980 | − | 13.5594i | −0.499298 | − | 1.17136i | ||||
\(135\) | 2.23178 | − | 0.138344i | 0.192081 | − | 0.0119067i | ||||
\(136\) | 1.70760 | − | 2.12833i | 0.146425 | − | 0.182503i | ||||
\(137\) | −9.74532 | + | 4.96549i | −0.832599 | + | 0.424230i | −0.817690 | − | 0.575659i | \(-0.804746\pi\) |
−0.0149087 | + | 0.999889i | \(0.504746\pi\) | |||||||
\(138\) | 3.20842 | + | 1.29066i | 0.273119 | + | 0.109868i | ||||
\(139\) | −4.43695 | − | 13.6555i | −0.376337 | − | 1.15825i | −0.942572 | − | 0.334003i | \(-0.891600\pi\) |
0.566235 | − | 0.824244i | \(-0.308400\pi\) | |||||||
\(140\) | 0.265084 | + | 1.08577i | 0.0224037 | + | 0.0917646i | ||||
\(141\) | −1.82667 | + | 5.62192i | −0.153834 | + | 0.473451i | ||||
\(142\) | 7.90771 | − | 9.45296i | 0.663600 | − | 0.793275i | ||||
\(143\) | −0.356013 | − | 0.356013i | −0.0297713 | − | 0.0297713i | ||||
\(144\) | 3.13713 | − | 2.48162i | 0.261427 | − | 0.206802i | ||||
\(145\) | 9.50769 | + | 4.12477i | 0.789571 | + | 0.342543i | ||||
\(146\) | −1.45127 | + | 6.32967i | −0.120108 | + | 0.523847i | ||||
\(147\) | −1.08527 | + | 6.85213i | −0.0895116 | + | 0.565154i | ||||
\(148\) | 13.2349 | − | 19.0233i | 1.08790 | − | 1.56371i | ||||
\(149\) | − | 10.2756i | − | 0.841808i | −0.907105 | − | 0.420904i | \(-0.861713\pi\) | ||
0.907105 | − | 0.420904i | \(-0.138287\pi\) | |||||||
\(150\) | −6.46878 | − | 2.85568i | −0.528174 | − | 0.233165i | ||||
\(151\) | 18.7598i | 1.52665i | 0.646016 | + | 0.763324i | \(0.276434\pi\) | ||||
−0.646016 | + | 0.763324i | \(0.723566\pi\) | |||||||
\(152\) | −1.18691 | − | 10.8214i | −0.0962712 | − | 0.877733i | ||||
\(153\) | 0.150917 | − | 0.952856i | 0.0122010 | − | 0.0770338i | ||||
\(154\) | −0.907582 | − | 0.208090i | −0.0731351 | − | 0.0167684i | ||||
\(155\) | 1.57121 | − | 16.4595i | 0.126203 | − | 1.32206i | ||||
\(156\) | 0.275744 | + | 0.264680i | 0.0220772 | + | 0.0211914i | ||||
\(157\) | −5.56867 | − | 5.56867i | −0.444428 | − | 0.444428i | 0.449069 | − | 0.893497i | \(-0.351756\pi\) |
−0.893497 | + | 0.449069i | \(0.851756\pi\) | |||||||
\(158\) | 12.8442 | + | 10.7446i | 1.02183 | + | 0.854797i | ||||
\(159\) | 0.340059 | − | 1.04659i | 0.0269684 | − | 0.0830003i | ||||
\(160\) | −12.4176 | + | 2.40907i | −0.981696 | + | 0.190453i | ||||
\(161\) | 0.188853 | + | 0.581231i | 0.0148837 | + | 0.0458074i | ||||
\(162\) | 0.527795 | − | 1.31203i | 0.0414675 | − | 0.103083i | ||||
\(163\) | 0.388509 | − | 0.197955i | 0.0304304 | − | 0.0155050i | −0.438709 | − | 0.898629i | \(-0.644564\pi\) |
0.469139 | + | 0.883124i | \(0.344564\pi\) | |||||||
\(164\) | −1.88660 | − | 10.5139i | −0.147319 | − | 0.820995i | ||||
\(165\) | 4.54252 | − | 3.75084i | 0.353635 | − | 0.292003i | ||||
\(166\) | 8.72374 | − | 3.71855i | 0.677093 | − | 0.288615i | ||||
\(167\) | −10.3937 | + | 1.64620i | −0.804291 | + | 0.127387i | −0.545026 | − | 0.838419i | \(-0.683480\pi\) |
−0.259265 | + | 0.965806i | \(0.583480\pi\) | |||||||
\(168\) | 0.692084 | + | 0.143837i | 0.0533954 | + | 0.0110972i | ||||
\(169\) | 7.61974 | − | 10.4877i | 0.586134 | − | 0.806744i | ||||
\(170\) | −1.80894 | + | 2.45659i | −0.138739 | + | 0.188412i | ||||
\(171\) | −2.26232 | − | 3.11382i | −0.173004 | − | 0.238120i | ||||
\(172\) | 16.3625 | + | 4.94859i | 1.24763 | + | 0.377326i | ||||
\(173\) | −8.22786 | − | 4.19230i | −0.625553 | − | 0.318735i | 0.112323 | − | 0.993672i | \(-0.464171\pi\) |
−0.737876 | + | 0.674937i | \(0.764171\pi\) | |||||||
\(174\) | 4.94040 | − | 4.30772i | 0.374530 | − | 0.326568i | ||||
\(175\) | −0.346408 | − | 1.20061i | −0.0261860 | − | 0.0907577i | ||||
\(176\) | 2.84351 | − | 10.1472i | 0.214337 | − | 0.764871i | ||||
\(177\) | 0.132377 | − | 0.259804i | 0.00995004 | − | 0.0195281i | ||||
\(178\) | −10.7928 | − | 17.2142i | −0.808952 | − | 1.29026i | ||||
\(179\) | 16.6746 | − | 12.1148i | 1.24632 | − | 0.905503i | 0.248315 | − | 0.968679i | \(-0.420123\pi\) |
0.998002 | + | 0.0631765i | \(0.0201231\pi\) | |||||||
\(180\) | −3.38946 | + | 2.91745i | −0.252636 | + | 0.217454i | ||||
\(181\) | −4.10735 | − | 2.98416i | −0.305297 | − | 0.221811i | 0.424579 | − | 0.905391i | \(-0.360422\pi\) |
−0.729876 | + | 0.683580i | \(0.760422\pi\) | |||||||
\(182\) | −0.00461005 | + | 0.0673873i | −0.000341719 | + | 0.00499508i | ||||
\(183\) | 1.90374 | + | 12.0197i | 0.140729 | + | 0.888525i | ||||
\(184\) | −6.67273 | + | 1.82036i | −0.491921 | + | 0.134198i | ||||
\(185\) | −13.9033 | + | 21.8635i | −1.02219 | + | 1.60743i | ||||
\(186\) | −8.97173 | − | 5.37236i | −0.657839 | − | 0.393920i | ||||
\(187\) | −1.15386 | − | 2.26458i | −0.0843788 | − | 0.165603i | ||||
\(188\) | −3.88272 | − | 11.1667i | −0.283177 | − | 0.814415i | ||||
\(189\) | 0.237685 | − | 0.0772287i | 0.0172891 | − | 0.00561756i | ||||
\(190\) | 1.82708 | + | 12.0334i | 0.132550 | + | 0.872991i | ||||
\(191\) | 9.33935 | + | 3.03454i | 0.675772 | + | 0.219571i | 0.626743 | − | 0.779226i | \(-0.284388\pi\) |
0.0490284 | + | 0.998797i | \(0.484388\pi\) | |||||||
\(192\) | −2.00053 | + | 7.74583i | −0.144376 | + | 0.559007i | ||||
\(193\) | 13.1195 | − | 13.1195i | 0.944361 | − | 0.944361i | −0.0541709 | − | 0.998532i | \(-0.517252\pi\) |
0.998532 | + | 0.0541709i | \(0.0172516\pi\) | |||||||
\(194\) | 0.514814 | + | 5.78385i | 0.0369615 | + | 0.415256i | ||||
\(195\) | −0.320286 | − | 0.282896i | −0.0229362 | − | 0.0202586i | ||||
\(196\) | −6.55089 | − | 12.2313i | −0.467920 | − | 0.873662i | ||||
\(197\) | 15.4704 | + | 2.45027i | 1.10222 | + | 0.174574i | 0.680928 | − | 0.732351i | \(-0.261577\pi\) |
0.421292 | + | 0.906925i | \(0.361577\pi\) | |||||||
\(198\) | −0.906796 | − | 3.61373i | −0.0644432 | − | 0.256816i | ||||
\(199\) | −22.0119 | −1.56038 | −0.780191 | − | 0.625542i | \(-0.784878\pi\) | ||||
−0.780191 | + | 0.625542i | \(0.784878\pi\) | |||||||
\(200\) | 13.7598 | − | 3.26625i | 0.972964 | − | 0.230958i | ||||
\(201\) | 10.4227 | 0.735159 | ||||||||
\(202\) | −2.35170 | − | 9.37192i | −0.165465 | − | 0.659406i | ||||
\(203\) | 1.14407 | + | 0.181203i | 0.0802981 | + | 0.0127180i | ||||
\(204\) | 0.910965 | + | 1.70088i | 0.0637803 | + | 0.119085i | ||||
\(205\) | 2.59444 | + | 11.6574i | 0.181203 | + | 0.814187i | ||||
\(206\) | 1.06139 | + | 11.9245i | 0.0739504 | + | 0.830821i | ||||
\(207\) | −1.72915 | + | 1.72915i | −0.120184 | + | 0.120184i | ||||
\(208\) | −0.759286 | − | 0.0885817i | −0.0526470 | − | 0.00614203i | ||||
\(209\) | −9.64367 | − | 3.13342i | −0.667067 | − | 0.216743i | ||||
\(210\) | −0.779771 | − | 0.128621i | −0.0538093 | − | 0.00887571i | ||||
\(211\) | 15.8836 | − | 5.16089i | 1.09347 | − | 0.355291i | 0.293885 | − | 0.955841i | \(-0.405052\pi\) |
0.799587 | + | 0.600550i | \(0.205052\pi\) | |||||||
\(212\) | 0.722820 | + | 2.07883i | 0.0496435 | + | 0.142775i | ||||
\(213\) | 3.95637 | + | 7.76481i | 0.271086 | + | 0.532036i | ||||
\(214\) | 15.8566 | + | 9.49508i | 1.08393 | + | 0.649070i | ||||
\(215\) | −18.5073 | − | 4.77008i | −1.26219 | − | 0.325317i | ||||
\(216\) | 0.744406 | + | 2.72871i | 0.0506504 | + | 0.185665i | ||||
\(217\) | −0.289089 | − | 1.82523i | −0.0196246 | − | 0.123905i | ||||
\(218\) | −1.71719 | + | 25.1010i | −0.116303 | + | 1.70005i | ||||
\(219\) | −3.71492 | − | 2.69904i | −0.251031 | − | 0.182385i | ||||
\(220\) | −2.70643 | + | 11.4668i | −0.182467 | + | 0.773094i | ||||
\(221\) | −0.149158 | + | 0.108369i | −0.0100334 | + | 0.00728972i | ||||
\(222\) | 8.70460 | + | 13.8836i | 0.584215 | + | 0.931808i | ||||
\(223\) | −9.86230 | + | 19.3559i | −0.660429 | + | 1.29616i | 0.281245 | + | 0.959636i | \(0.409253\pi\) |
−0.941673 | + | 0.336528i | \(0.890747\pi\) | |||||||
\(224\) | −1.27675 | + | 0.607121i | −0.0853062 | + | 0.0405650i | ||||
\(225\) | 3.65116 | − | 3.41600i | 0.243410 | − | 0.227733i | ||||
\(226\) | −15.4166 | + | 13.4423i | −1.02550 | + | 0.894170i | ||||
\(227\) | 14.8153 | + | 7.54875i | 0.983323 | + | 0.501028i | 0.870277 | − | 0.492562i | \(-0.163939\pi\) |
0.113045 | + | 0.993590i | \(0.463939\pi\) | |||||||
\(228\) | 7.36819 | + | 2.22840i | 0.487970 | + | 0.147579i | ||||
\(229\) | 5.47711 | + | 7.53859i | 0.361937 | + | 0.498164i | 0.950687 | − | 0.310151i | \(-0.100380\pi\) |
−0.588750 | + | 0.808315i | \(0.700380\pi\) | |||||||
\(230\) | 7.36963 | − | 2.34253i | 0.485939 | − | 0.154462i | ||||
\(231\) | 0.387004 | − | 0.532665i | 0.0254630 | − | 0.0350468i | ||||
\(232\) | −2.66754 | + | 12.8351i | −0.175133 | + | 0.842667i | ||||
\(233\) | −13.6715 | + | 2.16536i | −0.895652 | + | 0.141857i | −0.587257 | − | 0.809401i | \(-0.699792\pi\) |
−0.308396 | + | 0.951258i | \(0.599792\pi\) | |||||||
\(234\) | −0.248624 | + | 0.105978i | −0.0162531 | + | 0.00692797i | ||||
\(235\) | 4.85450 | + | 12.2942i | 0.316672 | + | 0.801985i | ||||
\(236\) | 0.102998 | + | 0.574002i | 0.00670463 | + | 0.0373643i | ||||
\(237\) | −10.5505 | + | 5.37573i | −0.685326 | + | 0.349191i | ||||
\(238\) | −0.127253 | + | 0.316336i | −0.00824860 | + | 0.0205050i | ||||
\(239\) | 0.321628 | + | 0.989869i | 0.0208044 | + | 0.0640293i | 0.960920 | − | 0.276827i | \(-0.0892830\pi\) |
−0.940115 | + | 0.340857i | \(0.889283\pi\) | |||||||
\(240\) | 1.87598 | − | 8.74532i | 0.121094 | − | 0.564508i | ||||
\(241\) | −0.429404 | + | 1.32157i | −0.0276603 | + | 0.0851298i | −0.963934 | − | 0.266142i | \(-0.914251\pi\) |
0.936273 | + | 0.351272i | \(0.114251\pi\) | |||||||
\(242\) | 4.40325 | + | 3.68346i | 0.283052 | + | 0.236782i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −17.5590 | − | 16.8545i | −1.12410 | − | 1.07900i | ||||
\(245\) | 7.88434 | + | 13.3598i | 0.503712 | + | 0.853527i | ||||
\(246\) | 7.36213 | + | 1.68799i | 0.469392 | + | 0.107622i | ||||
\(247\) | −0.115067 | + | 0.726502i | −0.00732151 | + | 0.0462262i | ||||
\(248\) | 20.7898 | − | 2.28026i | 1.32016 | − | 0.144797i | ||||
\(249\) | 6.70564i | 0.424953i | ||||||||
\(250\) | −15.2194 | + | 4.28595i | −0.962560 | + | 0.271067i | ||||
\(251\) | − | 12.8188i | − | 0.809114i | −0.914513 | − | 0.404557i | \(-0.867426\pi\) | ||
0.914513 | − | 0.404557i | \(-0.132574\pi\) | |||||||
\(252\) | −0.285457 | + | 0.410303i | −0.0179821 | + | 0.0258467i | ||||
\(253\) | −1.00781 | + | 6.36307i | −0.0633605 | + | 0.400043i | ||||
\(254\) | −0.187903 | + | 0.819536i | −0.0117901 | + | 0.0514223i | ||||
\(255\) | −1.09639 | − | 1.85781i | −0.0686589 | − | 0.116341i | ||||
\(256\) | −6.17228 | − | 14.7615i | −0.385768 | − | 0.922596i | ||||
\(257\) | 10.9996 | + | 10.9996i | 0.686135 | + | 0.686135i | 0.961375 | − | 0.275241i | \(-0.0887576\pi\) |
−0.275241 | + | 0.961375i | \(0.588758\pi\) | |||||||
\(258\) | −7.75577 | + | 9.27134i | −0.482853 | + | 0.577208i | ||||
\(259\) | −0.894862 | + | 2.75410i | −0.0556040 | + | 0.171132i | ||||
\(260\) | 0.852282 | + | 0.0637847i | 0.0528563 | + | 0.00395576i | ||||
\(261\) | 1.43225 | + | 4.40802i | 0.0886542 | + | 0.272850i | ||||
\(262\) | −16.3498 | − | 6.57707i | −1.01009 | − | 0.406333i | ||||
\(263\) | 6.19986 | − | 3.15899i | 0.382300 | − | 0.194792i | −0.252270 | − | 0.967657i | \(-0.581177\pi\) |
0.634570 | + | 0.772865i | \(0.281177\pi\) | |||||||
\(264\) | 5.81208 | + | 4.66314i | 0.357709 | + | 0.286997i | ||||
\(265\) | −0.903728 | − | 2.28873i | −0.0555156 | − | 0.140595i | ||||
\(266\) | 0.533415 | + | 1.25140i | 0.0327058 | + | 0.0767280i | ||||
\(267\) | 14.1900 | − | 2.24747i | 0.868411 | − | 0.137543i | ||||
\(268\) | −16.6099 | + | 12.5952i | −1.01461 | + | 0.769376i | ||||
\(269\) | 10.5934 | − | 14.5805i | 0.645889 | − | 0.888990i | −0.353024 | − | 0.935614i | \(-0.614846\pi\) |
0.998912 | + | 0.0466246i | \(0.0148464\pi\) | |||||||
\(270\) | −0.957942 | − | 3.01369i | −0.0582985 | − | 0.183408i | ||||
\(271\) | 1.80316 | + | 2.48183i | 0.109534 | + | 0.150761i | 0.860265 | − | 0.509848i | \(-0.170298\pi\) |
−0.750731 | + | 0.660609i | \(0.770298\pi\) | |||||||
\(272\) | −3.50716 | − | 1.60972i | −0.212653 | − | 0.0976038i | ||||
\(273\) | −0.0425557 | − | 0.0216832i | −0.00257559 | − | 0.00131233i | ||||
\(274\) | 10.1654 | + | 11.6584i | 0.614116 | + | 0.704311i | ||||
\(275\) | 2.49217 | − | 12.9347i | 0.150284 | − | 0.779989i | ||||
\(276\) | 0.666048 | − | 4.84520i | 0.0400914 | − | 0.291647i | ||||
\(277\) | 6.03868 | − | 11.8516i | 0.362829 | − | 0.712092i | −0.635362 | − | 0.772215i | \(-0.719149\pi\) |
0.998191 | + | 0.0601222i | \(0.0191490\pi\) | |||||||
\(278\) | −17.2039 | + | 10.7863i | −1.03182 | + | 0.646921i | ||||
\(279\) | 5.98219 | − | 4.34632i | 0.358144 | − | 0.260207i | ||||
\(280\) | 1.39810 | − | 0.737334i | 0.0835524 | − | 0.0440641i | ||||
\(281\) | −17.4485 | − | 12.6771i | −1.04089 | − | 0.756251i | −0.0704309 | − | 0.997517i | \(-0.522437\pi\) |
−0.970459 | + | 0.241266i | \(0.922437\pi\) | |||||||
\(282\) | 8.34025 | + | 0.570567i | 0.496655 | + | 0.0339767i | ||||
\(283\) | −2.15332 | − | 13.5956i | −0.128002 | − | 0.808172i | −0.965246 | − | 0.261343i | \(-0.915835\pi\) |
0.837244 | − | 0.546829i | \(-0.184165\pi\) | |||||||
\(284\) | −15.6883 | − | 7.59321i | −0.930932 | − | 0.450574i | ||||
\(285\) | −8.33402 | − | 2.14801i | −0.493665 | − | 0.127237i | ||||
\(286\) | −0.365800 | + | 0.610878i | −0.0216302 | + | 0.0361220i | ||||
\(287\) | 0.605978 | + | 1.18930i | 0.0357697 | + | 0.0702021i | ||||
\(288\) | −4.48380 | − | 3.44899i | −0.264211 | − | 0.203234i | ||||
\(289\) | 15.2828 | − | 4.96568i | 0.898988 | − | 0.292099i | ||||
\(290\) | 2.38536 | − | 14.4613i | 0.140073 | − | 0.849198i | ||||
\(291\) | −3.90501 | − | 1.26881i | −0.228916 | − | 0.0743792i | ||||
\(292\) | 9.18185 | − | 0.187980i | 0.537327 | − | 0.0110007i | ||||
\(293\) | −6.36868 | + | 6.36868i | −0.372062 | + | 0.372062i | −0.868228 | − | 0.496166i | \(-0.834741\pi\) |
0.496166 | + | 0.868228i | \(0.334741\pi\) | |||||||
\(294\) | 9.77253 | − | 0.869841i | 0.569946 | − | 0.0507302i | ||||
\(295\) | −0.141643 | − | 0.636432i | −0.00824676 | − | 0.0370545i | ||||
\(296\) | −30.6495 | − | 11.6064i | −1.78147 | − | 0.674608i | ||||
\(297\) | 2.60208 | + | 0.412129i | 0.150988 | + | 0.0239141i | ||||
\(298\) | −14.0949 | + | 3.53684i | −0.816495 | + | 0.204884i | ||||
\(299\) | 0.467334 | 0.0270266 | ||||||||
\(300\) | −1.69056 | + | 9.85606i | −0.0976044 | + | 0.569040i | ||||
\(301\) | −2.13610 | −0.123123 | ||||||||
\(302\) | 25.7325 | − | 6.45709i | 1.48074 | − | 0.371564i | ||||
\(303\) | 6.74828 | + | 1.06882i | 0.387679 | + | 0.0614023i | ||||
\(304\) | −14.4351 | + | 5.35279i | −0.827908 | + | 0.307004i | ||||
\(305\) | 20.3954 | + | 18.0145i | 1.16784 | + | 1.03150i | ||||
\(306\) | −1.35897 | + | 0.120960i | −0.0776869 | + | 0.00691482i | ||||
\(307\) | 19.8224 | − | 19.8224i | 1.13132 | − | 1.13132i | 0.141365 | − | 0.989957i | \(-0.454851\pi\) |
0.989957 | − | 0.141365i | \(-0.0451492\pi\) | |||||||
\(308\) | 0.0269536 | + | 1.31654i | 0.00153582 | + | 0.0750171i | ||||
\(309\) | −8.05093 | − | 2.61590i | −0.458001 | − | 0.148814i | ||||
\(310\) | −23.1182 | + | 3.51014i | −1.31302 | + | 0.199362i | ||||
\(311\) | 5.86739 | − | 1.90643i | 0.332709 | − | 0.108104i | −0.137898 | − | 0.990446i | \(-0.544035\pi\) |
0.470608 | + | 0.882343i | \(0.344035\pi\) | |||||||
\(312\) | 0.268148 | − | 0.469338i | 0.0151809 | − | 0.0265710i | ||||
\(313\) | 11.1734 | + | 21.9291i | 0.631560 | + | 1.23951i | 0.955935 | + | 0.293578i | \(0.0948460\pi\) |
−0.324375 | + | 0.945929i | \(0.605154\pi\) | |||||||
\(314\) | −5.72175 | + | 9.55520i | −0.322897 | + | 0.539231i | ||||
\(315\) | 0.299872 | − | 0.471561i | 0.0168959 | − | 0.0265694i | ||||
\(316\) | 10.3173 | − | 21.3166i | 0.580393 | − | 1.19915i | ||||
\(317\) | 2.63873 | + | 16.6603i | 0.148206 | + | 0.935735i | 0.943947 | + | 0.330098i | \(0.107082\pi\) |
−0.795741 | + | 0.605637i | \(0.792918\pi\) | |||||||
\(318\) | −1.55265 | − | 0.106218i | −0.0870682 | − | 0.00595644i | ||||
\(319\) | 9.87859 | + | 7.17722i | 0.553095 | + | 0.401847i | ||||
\(320\) | 7.57860 | + | 16.2039i | 0.423657 | + | 0.905823i | ||||
\(321\) | −10.5729 | + | 7.68166i | −0.590122 | + | 0.428748i | ||||
\(322\) | 0.732265 | − | 0.459107i | 0.0408075 | − | 0.0255850i | ||||
\(323\) | −1.68574 | + | 3.30844i | −0.0937969 | + | 0.184087i | ||||
\(324\) | −1.98137 | − | 0.272370i | −0.110076 | − | 0.0151317i | ||||
\(325\) | −0.955016 | − | 0.0317775i | −0.0529748 | − | 0.00176270i | ||||
\(326\) | −0.405257 | − | 0.464777i | −0.0224451 | − | 0.0257416i | ||||
\(327\) | −15.8515 | − | 8.07674i | −0.876589 | − | 0.446645i | ||||
\(328\) | −13.7724 | + | 6.20668i | −0.760452 | + | 0.342707i | ||||
\(329\) | 0.868346 | + | 1.19518i | 0.0478735 | + | 0.0658922i | ||||
\(330\) | −6.70851 | − | 4.93988i | −0.369291 | − | 0.271932i | ||||
\(331\) | 0.146758 | − | 0.201995i | 0.00806656 | − | 0.0111027i | −0.804965 | − | 0.593323i | \(-0.797816\pi\) |
0.813031 | + | 0.582220i | \(0.197816\pi\) | |||||||
\(332\) | −8.10338 | − | 10.6863i | −0.444731 | − | 0.586488i | ||||
\(333\) | −11.4445 | + | 1.81263i | −0.627156 | + | 0.0993317i | ||||
\(334\) | 5.83559 | + | 13.6903i | 0.319309 | + | 0.749101i | ||||
\(335\) | 17.9712 | − | 14.8391i | 0.981869 | − | 0.810747i | ||||
\(336\) | −0.0409152 | − | 0.998831i | −0.00223211 | − | 0.0544907i | ||||
\(337\) | −5.73749 | + | 2.92340i | −0.312541 | + | 0.159248i | −0.603224 | − | 0.797572i | \(-0.706117\pi\) |
0.290683 | + | 0.956819i | \(0.406117\pi\) | |||||||
\(338\) | −17.0085 | − | 6.84206i | −0.925141 | − | 0.372159i | ||||
\(339\) | −4.46937 | − | 13.7553i | −0.242743 | − | 0.747086i | ||||
\(340\) | 3.99231 | + | 1.63574i | 0.216513 | + | 0.0887105i | ||||
\(341\) | 6.01984 | − | 18.5272i | 0.325993 | − | 1.00330i | ||||
\(342\) | −3.49250 | + | 4.17497i | −0.188853 | + | 0.225757i | ||||
\(343\) | 2.46302 | + | 2.46302i | 0.132990 | + | 0.132990i | ||||
\(344\) | 1.15597 | − | 24.1475i | 0.0623257 | − | 1.30195i | ||||
\(345\) | −0.519612 | + | 5.44329i | −0.0279750 | + | 0.293057i | ||||
\(346\) | −2.91851 | + | 12.7290i | −0.156900 | + | 0.684317i | ||||
\(347\) | 1.70261 | − | 10.7499i | 0.0914009 | − | 0.577083i | −0.898901 | − | 0.438151i | \(-0.855633\pi\) |
0.990302 | − | 0.138931i | \(-0.0443666\pi\) | |||||||
\(348\) | −7.60933 | − | 5.29397i | −0.407903 | − | 0.283787i | ||||
\(349\) | 9.51909i | 0.509545i | 0.967001 | + | 0.254773i | \(0.0820006\pi\) | ||||
−0.967001 | + | 0.254773i | \(0.917999\pi\) | |||||||
\(350\) | −1.52763 | + | 0.888412i | −0.0816553 | + | 0.0474876i | ||||
\(351\) | − | 0.191109i | − | 0.0102006i | ||||||
\(352\) | −14.8975 | − | 0.407764i | −0.794038 | − | 0.0217339i | ||||
\(353\) | −4.37237 | + | 27.6061i | −0.232718 | + | 1.46932i | 0.543794 | + | 0.839219i | \(0.316987\pi\) |
−0.776511 | + | 0.630103i | \(0.783013\pi\) | |||||||
\(354\) | −0.401934 | − | 0.0921553i | −0.0213625 | − | 0.00489800i | ||||
\(355\) | 17.8767 | + | 7.75555i | 0.948798 | + | 0.411622i | ||||
\(356\) | −19.8976 | + | 20.7294i | −1.05457 | + | 1.09866i | ||||
\(357\) | −0.170486 | − | 0.170486i | −0.00902307 | − | 0.00902307i | ||||
\(358\) | −22.3571 | − | 18.7024i | −1.18161 | − | 0.988454i | ||||
\(359\) | −11.0850 | + | 34.1161i | −0.585043 | + | 1.80058i | 0.0140544 | + | 0.999901i | \(0.495526\pi\) |
−0.599097 | + | 0.800676i | \(0.704474\pi\) | |||||||
\(360\) | 5.16848 | + | 3.64510i | 0.272403 | + | 0.192114i | ||||
\(361\) | −1.29355 | − | 3.98114i | −0.0680816 | − | 0.209534i | ||||
\(362\) | −2.67960 | + | 6.66114i | −0.140836 | + | 0.350102i | ||||
\(363\) | −3.61690 | + | 1.84290i | −0.189838 | + | 0.0967274i | ||||
\(364\) | 0.0940211 | − | 0.0168711i | 0.00492805 | − | 0.000884285i | ||||
\(365\) | −10.2481 | + | 0.635260i | −0.536410 | + | 0.0332510i | ||||
\(366\) | 15.8321 | − | 6.74852i | 0.827556 | − | 0.352751i | ||||
\(367\) | 8.15534 | − | 1.29168i | 0.425705 | − | 0.0674251i | 0.0600940 | − | 0.998193i | \(-0.480860\pi\) |
0.365611 | + | 0.930768i | \(0.380860\pi\) | |||||||
\(368\) | 4.79371 | + | 8.52634i | 0.249889 | + | 0.444466i | ||||
\(369\) | −3.13930 | + | 4.32087i | −0.163425 | + | 0.224936i | ||||
\(370\) | 34.7753 | + | 11.5456i | 1.80788 | + | 0.600228i | ||||
\(371\) | −0.161654 | − | 0.222498i | −0.00839266 | − | 0.0115515i | ||||
\(372\) | −4.28114 | + | 14.1556i | −0.221967 | + | 0.733932i | ||||
\(373\) | −16.8009 | − | 8.56049i | −0.869918 | − | 0.443245i | −0.0387386 | − | 0.999249i | \(-0.512334\pi\) |
−0.831180 | + | 0.556004i | \(0.812334\pi\) | |||||||
\(374\) | −2.70914 | + | 2.36221i | −0.140086 | + | 0.122147i | ||||
\(375\) | 1.43198 | − | 11.0883i | 0.0739470 | − | 0.572595i | ||||
\(376\) | −13.9808 | + | 9.16945i | −0.721005 | + | 0.472878i | ||||
\(377\) | 0.402129 | − | 0.789222i | 0.0207107 | − | 0.0406470i | ||||
\(378\) | −0.187745 | − | 0.299448i | −0.00965654 | − | 0.0154019i | ||||
\(379\) | 5.75200 | − | 4.17907i | 0.295460 | − | 0.214664i | −0.430172 | − | 0.902747i | \(-0.641547\pi\) |
0.725633 | + | 0.688082i | \(0.241547\pi\) | |||||||
\(380\) | 15.8771 | − | 6.64805i | 0.814479 | − | 0.341038i | ||||
\(381\) | −0.480990 | − | 0.349460i | −0.0246419 | − | 0.0179034i | ||||
\(382\) | 0.947847 | − | 13.8552i | 0.0484961 | − | 0.708891i | ||||
\(383\) | −4.72618 | − | 29.8399i | −0.241497 | − | 1.52475i | −0.748692 | − | 0.662918i | \(-0.769318\pi\) |
0.507195 | − | 0.861831i | \(-0.330682\pi\) | |||||||
\(384\) | 11.3134 | + | 0.0780011i | 0.577337 | + | 0.00398048i | ||||
\(385\) | −0.0910870 | − | 1.46943i | −0.00464222 | − | 0.0748890i | ||||
\(386\) | −22.5115 | − | 13.4801i | −1.14581 | − | 0.686120i | ||||
\(387\) | −3.88035 | − | 7.61562i | −0.197249 | − | 0.387124i | ||||
\(388\) | 7.75644 | − | 2.69696i | 0.393774 | − | 0.136917i | ||||
\(389\) | 34.5907 | − | 11.2392i | 1.75382 | − | 0.569851i | 0.757290 | − | 0.653079i | \(-0.226523\pi\) |
0.996531 | + | 0.0832281i | \(0.0265230\pi\) | |||||||
\(390\) | −0.277803 | + | 0.536705i | −0.0140671 | + | 0.0271771i | ||||
\(391\) | 2.24367 | + | 0.729014i | 0.113468 | + | 0.0368678i | ||||
\(392\) | −14.5227 | + | 13.1958i | −0.733506 | + | 0.666486i | ||||
\(393\) | 8.81154 | − | 8.81154i | 0.444484 | − | 0.444484i | ||||
\(394\) | −1.96388 | − | 22.0639i | −0.0989390 | − | 1.11156i | ||||
\(395\) | −10.5379 | + | 24.2901i | −0.530218 | + | 1.22217i | ||||
\(396\) | −4.64479 | + | 2.48768i | −0.233409 | + | 0.125011i | ||||
\(397\) | 35.1495 | + | 5.56713i | 1.76410 | + | 0.279406i | 0.952441 | − | 0.304724i | \(-0.0985641\pi\) |
0.811660 | + | 0.584130i | \(0.198564\pi\) | |||||||
\(398\) | 7.57646 | + | 30.1934i | 0.379774 | + | 1.51346i | ||||
\(399\) | −0.961905 | −0.0481555 | ||||||||
\(400\) | −9.21637 | − | 17.7499i | −0.460818 | − | 0.887494i | ||||
\(401\) | −8.79529 | −0.439216 | −0.219608 | − | 0.975588i | \(-0.570478\pi\) | ||||
−0.219608 | + | 0.975588i | \(0.570478\pi\) | |||||||
\(402\) | −3.58747 | − | 14.2967i | −0.178927 | − | 0.713053i | ||||
\(403\) | −1.39574 | − | 0.221063i | −0.0695266 | − | 0.0110119i | ||||
\(404\) | −12.0459 | + | 6.45161i | −0.599306 | + | 0.320979i | ||||
\(405\) | 2.22595 | + | 0.212487i | 0.110608 | + | 0.0105586i | ||||
\(406\) | −0.145234 | − | 1.63168i | −0.00720783 | − | 0.0809789i | ||||
\(407\) | −21.5855 | + | 21.5855i | −1.06996 | + | 1.06996i | ||||
\(408\) | 2.01952 | − | 1.83500i | 0.0999811 | − | 0.0908460i | ||||
\(409\) | −9.78051 | − | 3.17788i | −0.483615 | − | 0.157136i | 0.0570545 | − | 0.998371i | \(-0.481829\pi\) |
−0.540670 | + | 0.841235i | \(0.681829\pi\) | |||||||
\(410\) | 15.0973 | − | 7.57122i | 0.745602 | − | 0.373916i | ||||
\(411\) | −10.4021 | + | 3.37985i | −0.513098 | + | 0.166716i | ||||
\(412\) | 15.9914 | − | 5.56030i | 0.787839 | − | 0.273936i | ||||
\(413\) | −0.0330832 | − | 0.0649295i | −0.00162792 | − | 0.00319497i | ||||
\(414\) | 2.96702 | + | 1.77668i | 0.145821 | + | 0.0873189i | ||||
\(415\) | 9.54703 | + | 11.5621i | 0.468645 | + | 0.567561i | ||||
\(416\) | 0.139839 | + | 1.07199i | 0.00685616 | + | 0.0525588i | ||||
\(417\) | −2.24613 | − | 14.1815i | −0.109993 | − | 0.694471i | ||||
\(418\) | −0.978733 | + | 14.3066i | −0.0478714 | + | 0.699760i | ||||
\(419\) | 13.2984 | + | 9.66189i | 0.649672 | + | 0.472014i | 0.863159 | − | 0.504932i | \(-0.168482\pi\) |
−0.213488 | + | 0.976946i | \(0.568482\pi\) | |||||||
\(420\) | 0.0919678 | + | 1.11387i | 0.00448757 | + | 0.0543515i | ||||
\(421\) | 15.0738 | − | 10.9517i | 0.734650 | − | 0.533755i | −0.156381 | − | 0.987697i | \(-0.549983\pi\) |
0.891031 | + | 0.453942i | \(0.149983\pi\) | |||||||
\(422\) | −12.5462 | − | 20.0110i | −0.610742 | − | 0.974118i | ||||
\(423\) | −2.68364 | + | 5.26695i | −0.130483 | + | 0.256088i | ||||
\(424\) | 2.60271 | − | 1.70701i | 0.126399 | − | 0.0828999i | ||||
\(425\) | −4.53547 | − | 1.64233i | −0.220003 | − | 0.0796649i | ||||
\(426\) | 9.28912 | − | 8.09954i | 0.450059 | − | 0.392424i | ||||
\(427\) | 2.70990 | + | 1.38076i | 0.131141 | + | 0.0668197i | ||||
\(428\) | 7.56647 | − | 25.0185i | 0.365739 | − | 1.20931i | ||||
\(429\) | −0.295937 | − | 0.407323i | −0.0142880 | − | 0.0196657i | ||||
\(430\) | −0.172873 | + | 27.0281i | −0.00833666 | + | 1.30341i | ||||
\(431\) | −14.7504 | + | 20.3021i | −0.710500 | + | 0.977920i | 0.289286 | + | 0.957243i | \(0.406582\pi\) |
−0.999786 | + | 0.0206770i | \(0.993418\pi\) | |||||||
\(432\) | 3.48671 | − | 1.96031i | 0.167755 | − | 0.0943155i | ||||
\(433\) | 6.23259 | − | 0.987146i | 0.299519 | − | 0.0474392i | −0.00486610 | − | 0.999988i | \(-0.501549\pi\) |
0.304385 | + | 0.952549i | \(0.401549\pi\) | |||||||
\(434\) | −2.40415 | + | 1.02478i | −0.115403 | + | 0.0491911i | ||||
\(435\) | 8.74538 | + | 5.56132i | 0.419309 | + | 0.266645i | ||||
\(436\) | 35.0217 | − | 6.28427i | 1.67724 | − | 0.300962i | ||||
\(437\) | 8.38616 | − | 4.27296i | 0.401164 | − | 0.204404i | ||||
\(438\) | −2.42358 | + | 6.02471i | −0.115803 | + | 0.287872i | ||||
\(439\) | −2.09652 | − | 6.45241i | −0.100061 | − | 0.307957i | 0.888478 | − | 0.458919i | \(-0.151763\pi\) |
−0.988540 | + | 0.150962i | \(0.951763\pi\) | |||||||
\(440\) | 16.6605 | − | 0.234498i | 0.794257 | − | 0.0111792i | ||||
\(441\) | −2.14382 | + | 6.59799i | −0.102087 | + | 0.314190i | ||||
\(442\) | 0.199989 | + | 0.167297i | 0.00951250 | + | 0.00795752i | ||||
\(443\) | −26.2759 | − | 26.2759i | −1.24840 | − | 1.24840i | −0.956424 | − | 0.291981i | \(-0.905686\pi\) |
−0.291981 | − | 0.956424i | \(-0.594314\pi\) | |||||||
\(444\) | 16.0479 | − | 16.7187i | 0.761599 | − | 0.793435i | ||||
\(445\) | 21.2670 | − | 24.0779i | 1.00815 | − | 1.14140i | ||||
\(446\) | 29.9448 | + | 6.86574i | 1.41793 | + | 0.325102i | ||||
\(447\) | 1.60745 | − | 10.1491i | 0.0760300 | − | 0.480035i | ||||
\(448\) | 1.27223 | + | 1.54233i | 0.0601074 | + | 0.0728681i | ||||
\(449\) | 12.3345i | 0.582103i | 0.956707 | + | 0.291052i | \(0.0940051\pi\) | ||||
−0.956707 | + | 0.291052i | \(0.905995\pi\) | |||||||
\(450\) | −5.94241 | − | 3.83246i | −0.280128 | − | 0.180664i | ||||
\(451\) | 14.0707i | 0.662561i | ||||||||
\(452\) | 23.7450 | + | 16.5199i | 1.11687 | + | 0.777032i | ||||
\(453\) | −2.93467 | + | 18.5288i | −0.137883 | + | 0.870559i | ||||
\(454\) | 5.25513 | − | 22.9202i | 0.246636 | − | 1.07570i | ||||
\(455\) | −0.104247 | + | 0.0232010i | −0.00488718 | + | 0.00108768i | ||||
\(456\) | 0.520545 | − | 10.8739i | 0.0243767 | − | 0.509215i | ||||
\(457\) | −21.1144 | − | 21.1144i | −0.987689 | − | 0.987689i | 0.0122358 | − | 0.999925i | \(-0.496105\pi\) |
−0.999925 | + | 0.0122358i | \(0.996105\pi\) | |||||||
\(458\) | 8.45538 | − | 10.1077i | 0.395094 | − | 0.472299i | ||||
\(459\) | 0.298119 | − | 0.917516i | 0.0139150 | − | 0.0428260i | ||||
\(460\) | −5.74984 | − | 9.30253i | −0.268088 | − | 0.433733i | ||||
\(461\) | −12.6107 | − | 38.8117i | −0.587339 | − | 1.80764i | −0.589669 | − | 0.807645i | \(-0.700742\pi\) |
0.00233064 | − | 0.999997i | \(-0.499258\pi\) | |||||||
\(462\) | −0.863856 | − | 0.347506i | −0.0401902 | − | 0.0161674i | ||||
\(463\) | 35.5965 | − | 18.1373i | 1.65431 | − | 0.842913i | 0.658390 | − | 0.752677i | \(-0.271238\pi\) |
0.995920 | − | 0.0902367i | \(-0.0287623\pi\) | |||||||
\(464\) | 18.5239 | − | 0.758798i | 0.859952 | − | 0.0352263i | ||||
\(465\) | 4.12671 | − | 16.0111i | 0.191372 | − | 0.742497i | ||||
\(466\) | 7.67592 | + | 18.0078i | 0.355580 | + | 0.834194i | ||||
\(467\) | −20.1169 | + | 3.18620i | −0.930899 | + | 0.147440i | −0.603424 | − | 0.797420i | \(-0.706198\pi\) |
−0.327474 | + | 0.944860i | \(0.606198\pi\) | |||||||
\(468\) | 0.230944 | + | 0.304557i | 0.0106754 | + | 0.0140782i | ||||
\(469\) | 1.53107 | − | 2.10733i | 0.0706981 | − | 0.0973076i | ||||
\(470\) | 15.1929 | − | 10.8905i | 0.700796 | − | 0.502341i | ||||
\(471\) | −4.62898 | − | 6.37124i | −0.213292 | − | 0.293571i | ||||
\(472\) | 0.751899 | − | 0.338852i | 0.0346090 | − | 0.0155969i | ||||
\(473\) | −20.0635 | − | 10.2228i | −0.922519 | − | 0.470047i | ||||
\(474\) | 11.0053 | + | 12.6216i | 0.505489 | + | 0.579730i | ||||
\(475\) | −17.4280 | + | 8.16174i | −0.799652 | + | 0.374486i | ||||
\(476\) | 0.477714 | + | 0.0656693i | 0.0218960 | + | 0.00300995i | ||||
\(477\) | 0.499596 | − | 0.980512i | 0.0228749 | − | 0.0448945i | ||||
\(478\) | 1.24709 | − | 0.781885i | 0.0570404 | − | 0.0357626i | ||||
\(479\) | −5.74735 | + | 4.17569i | −0.262603 | + | 0.190792i | −0.711294 | − | 0.702895i | \(-0.751890\pi\) |
0.448691 | + | 0.893687i | \(0.351890\pi\) | |||||||
\(480\) | −12.6416 | + | 0.436867i | −0.577006 | + | 0.0199402i | ||||
\(481\) | 1.79150 | + | 1.30160i | 0.0816853 | + | 0.0593478i | ||||
\(482\) | 1.96058 | + | 0.134126i | 0.0893020 | + | 0.00610926i | ||||
\(483\) | 0.0956038 | + | 0.603618i | 0.00435012 | + | 0.0274656i | ||||
\(484\) | 3.53697 | − | 7.30773i | 0.160771 | − | 0.332170i | ||||
\(485\) | −8.53961 | + | 3.37195i | −0.387764 | + | 0.153113i | ||||
\(486\) | 0.726544 | − | 1.21331i | 0.0329567 | − | 0.0550371i | ||||
\(487\) | −12.3757 | − | 24.2887i | −0.560798 | − | 1.10063i | −0.981147 | − | 0.193265i | \(-0.938092\pi\) |
0.420349 | − | 0.907363i | \(-0.361908\pi\) | |||||||
\(488\) | −17.0753 | + | 29.8868i | −0.772963 | + | 1.35291i | ||||
\(489\) | 0.414693 | − | 0.134742i | 0.0187531 | − | 0.00609324i | ||||
\(490\) | 15.6117 | − | 15.4133i | 0.705265 | − | 0.696301i | ||||
\(491\) | −26.7341 | − | 8.68645i | −1.20650 | − | 0.392014i | −0.364349 | − | 0.931263i | \(-0.618708\pi\) |
−0.842147 | + | 0.539249i | \(0.818708\pi\) | |||||||
\(492\) | −0.218642 | − | 10.6795i | −0.00985714 | − | 0.481471i | ||||
\(493\) | 3.16176 | − | 3.16176i | 0.142399 | − | 0.142399i | ||||
\(494\) | 1.03614 | − | 0.0922256i | 0.0466181 | − | 0.00414942i | ||||
\(495\) | 5.07335 | − | 2.99406i | 0.228030 | − | 0.134573i | ||||
\(496\) | −10.2836 | − | 27.7323i | −0.461749 | − | 1.24522i | ||||
\(497\) | 2.15113 | + | 0.340705i | 0.0964913 | + | 0.0152827i | ||||
\(498\) | 9.19804 | − | 2.30807i | 0.412174 | − | 0.103427i | ||||
\(499\) | 13.3239 | 0.596461 | 0.298231 | − | 0.954494i | \(-0.403604\pi\) | ||||
0.298231 | + | 0.954494i | \(0.403604\pi\) | |||||||
\(500\) | 11.1175 | + | 19.4011i | 0.497189 | + | 0.867642i | ||||
\(501\) | −10.5233 | −0.470146 | ||||||||
\(502\) | −17.5834 | + | 4.41221i | −0.784784 | + | 0.196926i | ||||
\(503\) | 40.2547 | + | 6.37572i | 1.79487 | + | 0.284279i | 0.962765 | − | 0.270339i | \(-0.0871358\pi\) |
0.832105 | + | 0.554619i | \(0.187136\pi\) | |||||||
\(504\) | 0.661062 | + | 0.250332i | 0.0294460 | + | 0.0111507i | ||||
\(505\) | 13.1573 | − | 7.76485i | 0.585494 | − | 0.345531i | ||||
\(506\) | 9.07503 | − | 0.807758i | 0.403434 | − | 0.0359092i | ||||
\(507\) | 9.16656 | − | 9.16656i | 0.407101 | − | 0.407101i | ||||
\(508\) | 1.18882 | − | 0.0243387i | 0.0527455 | − | 0.00107986i | ||||
\(509\) | −24.0302 | − | 7.80790i | −1.06512 | − | 0.346079i | −0.276536 | − | 0.961004i | \(-0.589186\pi\) |
−0.788586 | + | 0.614925i | \(0.789186\pi\) | |||||||
\(510\) | −2.17096 | + | 2.14337i | −0.0961318 | + | 0.0949099i | ||||
\(511\) | −1.09142 | + | 0.354625i | −0.0482818 | + | 0.0156877i | ||||
\(512\) | −18.1237 | + | 13.5473i | −0.800963 | + | 0.598714i | ||||
\(513\) | −1.74736 | − | 3.42939i | −0.0771479 | − | 0.151411i | ||||
\(514\) | 11.3019 | − | 18.8740i | 0.498507 | − | 0.832497i | ||||
\(515\) | −17.6060 | + | 6.95193i | −0.775815 | + | 0.306339i | ||||
\(516\) | 15.3869 | + | 7.44732i | 0.677371 | + | 0.327850i | ||||
\(517\) | 2.43619 | + | 15.3815i | 0.107143 | + | 0.676477i | ||||
\(518\) | 4.08578 | + | 0.279513i | 0.179519 | + | 0.0122811i | ||||
\(519\) | −7.47074 | − | 5.42781i | −0.327929 | − | 0.238254i | ||||
\(520\) | −0.205861 | − | 1.19102i | −0.00902762 | − | 0.0522296i | ||||
\(521\) | 4.81010 | − | 3.49474i | 0.210734 | − | 0.153108i | −0.477412 | − | 0.878680i | \(-0.658425\pi\) |
0.688146 | + | 0.725572i | \(0.258425\pi\) | |||||||
\(522\) | 5.55345 | − | 3.48184i | 0.243068 | − | 0.152396i | ||||
\(523\) | −20.2406 | + | 39.7244i | −0.885059 | + | 1.73703i | −0.243587 | + | 0.969879i | \(0.578324\pi\) |
−0.641472 | + | 0.767147i | \(0.721676\pi\) | |||||||
\(524\) | −3.39411 | + | 24.6906i | −0.148273 | + | 1.07861i | ||||
\(525\) | −0.154326 | − | 1.24002i | −0.00673533 | − | 0.0541189i | ||||
\(526\) | −6.46713 | − | 7.41696i | −0.281980 | − | 0.323395i | ||||
\(527\) | −6.35610 | − | 3.23859i | −0.276876 | − | 0.141075i | ||||
\(528\) | 4.39587 | − | 9.57741i | 0.191306 | − | 0.416803i | ||||
\(529\) | 10.0042 | + | 13.7696i | 0.434964 | + | 0.598677i | ||||
\(530\) | −2.82836 | + | 2.02741i | −0.122856 | + | 0.0880651i | ||||
\(531\) | 0.171389 | − | 0.235897i | 0.00743766 | − | 0.0102371i | ||||
\(532\) | 1.53292 | − | 1.16241i | 0.0664606 | − | 0.0503967i | ||||
\(533\) | 1.00813 | − | 0.159671i | 0.0436668 | − | 0.00691614i | ||||
\(534\) | −7.96699 | − | 18.6906i | −0.344765 | − | 0.808822i | ||||
\(535\) | −7.29353 | + | 28.2980i | −0.315327 | + | 1.22343i | ||||
\(536\) | 22.9938 | + | 18.4484i | 0.993182 | + | 0.796849i | ||||
\(537\) | 18.3645 | − | 9.35717i | 0.792486 | − | 0.403792i | ||||
\(538\) | −23.6461 | − | 9.51220i | −1.01946 | − | 0.410100i | ||||
\(539\) | 5.64792 | + | 17.3825i | 0.243273 | + | 0.748717i | ||||
\(540\) | −3.80412 | + | 2.35131i | −0.163703 | + | 0.101184i | ||||
\(541\) | −0.192846 | + | 0.593520i | −0.00829111 | + | 0.0255174i | −0.955116 | − | 0.296230i | \(-0.904270\pi\) |
0.946825 | + | 0.321748i | \(0.104270\pi\) | |||||||
\(542\) | 2.78365 | − | 3.32761i | 0.119568 | − | 0.142933i | ||||
\(543\) | −3.58995 | − | 3.58995i | −0.154060 | − | 0.154060i | ||||
\(544\) | −1.00088 | + | 5.36479i | −0.0429124 | + | 0.230013i | ||||
\(545\) | −38.8308 | + | 8.64209i | −1.66333 | + | 0.370186i | ||||
\(546\) | −0.0150950 | + | 0.0658365i | −0.000646006 | + | 0.00281754i | ||||
\(547\) | −2.59743 | + | 16.3996i | −0.111058 | + | 0.701194i | 0.867840 | + | 0.496844i | \(0.165508\pi\) |
−0.978898 | + | 0.204350i | \(0.934492\pi\) | |||||||
\(548\) | 12.4928 | − | 17.9566i | 0.533665 | − | 0.767068i | ||||
\(549\) | 12.1696i | 0.519385i | ||||||||
\(550\) | −18.6001 | + | 1.03361i | −0.793112 | + | 0.0440732i | ||||
\(551\) | − | 17.8391i | − | 0.759972i | ||||||
\(552\) | −6.87535 | + | 0.754100i | −0.292634 | + | 0.0320966i | ||||
\(553\) | −0.462934 | + | 2.92285i | −0.0196860 | + | 0.124292i | ||||
\(554\) | −18.3352 | − | 4.20389i | −0.778987 | − | 0.178606i | ||||
\(555\) | −17.1523 | + | 19.4193i | −0.728076 | + | 0.824305i | ||||
\(556\) | 20.7170 | + | 19.8858i | 0.878598 | + | 0.843345i | ||||
\(557\) | 4.95983 | + | 4.95983i | 0.210155 | + | 0.210155i | 0.804333 | − | 0.594178i | \(-0.202523\pi\) |
−0.594178 | + | 0.804333i | \(0.702523\pi\) | |||||||
\(558\) | −8.02085 | − | 6.70970i | −0.339550 | − | 0.284044i | ||||
\(559\) | −0.504764 | + | 1.55350i | −0.0213492 | + | 0.0657062i | ||||
\(560\) | −1.49262 | − | 1.66397i | −0.0630745 | − | 0.0703154i | ||||
\(561\) | −0.785398 | − | 2.41721i | −0.0331595 | − | 0.102055i | ||||
\(562\) | −11.3832 | + | 28.2973i | −0.480173 | + | 1.19365i | ||||
\(563\) | 13.2206 | − | 6.73624i | 0.557183 | − | 0.283899i | −0.152637 | − | 0.988282i | \(-0.548777\pi\) |
0.709819 | + | 0.704384i | \(0.248777\pi\) | |||||||
\(564\) | −2.08806 | − | 11.6366i | −0.0879234 | − | 0.489990i | ||||
\(565\) | −27.2901 | − | 17.3542i | −1.14810 | − | 0.730096i | ||||
\(566\) | −17.9077 | + | 7.63326i | −0.752716 | + | 0.320850i | ||||
\(567\) | 0.246840 | − | 0.0390957i | 0.0103663 | − | 0.00164186i | ||||
\(568\) | −5.01561 | + | 24.1331i | −0.210450 | + | 1.01260i | ||||
\(569\) | −15.6861 | + | 21.5900i | −0.657595 | + | 0.905102i | −0.999399 | − | 0.0346696i | \(-0.988962\pi\) |
0.341804 | + | 0.939771i | \(0.388962\pi\) | |||||||
\(570\) | −0.0778462 | + | 12.1710i | −0.00326062 | + | 0.509788i | ||||
\(571\) | −27.7669 | − | 38.2179i | −1.16201 | − | 1.59937i | −0.703534 | − | 0.710661i | \(-0.748396\pi\) |
−0.458475 | − | 0.888707i | \(-0.651604\pi\) | |||||||
\(572\) | 0.963842 | + | 0.291500i | 0.0403003 | + | 0.0121882i | ||||
\(573\) | 8.74966 | + | 4.45817i | 0.365522 | + | 0.186243i | ||||
\(574\) | 1.42277 | − | 1.24057i | 0.0593853 | − | 0.0517803i | ||||
\(575\) | 6.85386 | + | 10.1253i | 0.285826 | + | 0.422254i | ||||
\(576\) | −3.18762 | + | 7.33751i | −0.132817 | + | 0.305730i | ||||
\(577\) | 9.35098 | − | 18.3523i | 0.389286 | − | 0.764018i | −0.610318 | − | 0.792157i | \(-0.708958\pi\) |
0.999604 | + | 0.0281393i | \(0.00895819\pi\) | |||||||
\(578\) | −12.0717 | − | 19.2541i | −0.502116 | − | 0.800863i | ||||
\(579\) | 15.0103 | − | 10.9056i | 0.623807 | − | 0.453222i | ||||
\(580\) | −20.6575 | + | 1.70560i | −0.857754 | + | 0.0708212i | ||||
\(581\) | 1.35579 | + | 0.985042i | 0.0562478 | + | 0.0408664i | ||||
\(582\) | −0.396318 | + | 5.79318i | −0.0164279 | + | 0.240135i | ||||
\(583\) | −0.453529 | − | 2.86347i | −0.0187832 | − | 0.118593i | ||||
\(584\) | −3.41823 | − | 12.5299i | −0.141447 | − | 0.518492i | ||||
\(585\) | −0.272088 | − | 0.329517i | −0.0112495 | − | 0.0136238i | ||||
\(586\) | 10.9279 | + | 6.54374i | 0.451428 | + | 0.270320i | ||||
\(587\) | 15.5526 | + | 30.5238i | 0.641926 | + | 1.25985i | 0.951111 | + | 0.308849i | \(0.0999437\pi\) |
−0.309185 | + | 0.951002i | \(0.600056\pi\) | |||||||
\(588\) | −4.55684 | − | 13.1055i | −0.187921 | − | 0.540460i | ||||
\(589\) | −27.0673 | + | 8.79470i | −1.11529 | + | 0.362379i | ||||
\(590\) | −0.824233 | + | 0.413349i | −0.0339331 | + | 0.0170173i | ||||
\(591\) | 14.8966 | + | 4.84020i | 0.612765 | + | 0.199099i | ||||
\(592\) | −5.37082 | + | 46.0365i | −0.220739 | + | 1.89209i | ||||
\(593\) | 22.8164 | − | 22.8164i | 0.936957 | − | 0.936957i | −0.0611702 | − | 0.998127i | \(-0.519483\pi\) |
0.998127 | + | 0.0611702i | \(0.0194832\pi\) | |||||||
\(594\) | −0.330320 | − | 3.71109i | −0.0135532 | − | 0.152268i | ||||
\(595\) | −0.536684 | − | 0.0512314i | −0.0220019 | − | 0.00210028i | ||||
\(596\) | 9.70288 | + | 18.1164i | 0.397446 | + | 0.742077i | ||||
\(597\) | −21.7409 | − | 3.44342i | −0.889795 | − | 0.140930i | ||||
\(598\) | −0.160856 | − | 0.641036i | −0.00657788 | − | 0.0262139i | ||||
\(599\) | −17.5409 | −0.716703 | −0.358352 | − | 0.933587i | \(-0.616661\pi\) | ||||
−0.358352 | + | 0.933587i | \(0.616661\pi\) | |||||||
\(600\) | 14.1013 | − | 1.07353i | 0.575684 | − | 0.0438266i | ||||
\(601\) | −9.13668 | −0.372693 | −0.186347 | − | 0.982484i | \(-0.559665\pi\) | ||||
−0.186347 | + | 0.982484i | \(0.559665\pi\) | |||||||
\(602\) | 0.735241 | + | 2.93006i | 0.0299662 | + | 0.119420i | ||||
\(603\) | 10.2944 | + | 1.63047i | 0.419219 | + | 0.0663977i | ||||
\(604\) | −17.7142 | − | 33.0745i | −0.720781 | − | 1.34578i | ||||
\(605\) | −3.61259 | + | 8.32710i | −0.146873 | + | 0.338545i | ||||
\(606\) | −0.856659 | − | 9.62442i | −0.0347994 | − | 0.390966i | ||||
\(607\) | −5.75589 | + | 5.75589i | −0.233624 | + | 0.233624i | −0.814204 | − | 0.580579i | \(-0.802826\pi\) |
0.580579 | + | 0.814204i | \(0.302826\pi\) | |||||||
\(608\) | 12.3109 | + | 17.9580i | 0.499272 | + | 0.728293i | ||||
\(609\) | 1.10164 | + | 0.357945i | 0.0446407 | + | 0.0145046i | ||||
\(610\) | 17.6901 | − | 34.1767i | 0.716253 | − | 1.38377i | ||||
\(611\) | 1.07440 | − | 0.349093i | 0.0434655 | − | 0.0141228i | ||||
\(612\) | 0.633674 | + | 1.82244i | 0.0256147 | + | 0.0736679i | ||||
\(613\) | 5.36315 | + | 10.5258i | 0.216616 | + | 0.425132i | 0.973587 | − | 0.228316i | \(-0.0733218\pi\) |
−0.756971 | + | 0.653448i | \(0.773322\pi\) | |||||||
\(614\) | −34.0129 | − | 20.3673i | −1.37265 | − | 0.821956i | ||||
\(615\) | 0.738880 | + | 11.9197i | 0.0297945 | + | 0.480650i | ||||
\(616\) | 1.79661 | − | 0.490125i | 0.0723875 | − | 0.0197477i | ||||
\(617\) | 2.22140 | + | 14.0254i | 0.0894303 | + | 0.564641i | 0.991195 | + | 0.132413i | \(0.0422724\pi\) |
−0.901764 | + | 0.432228i | \(0.857728\pi\) | |||||||
\(618\) | −0.817086 | + | 11.9437i | −0.0328680 | + | 0.480448i | ||||
\(619\) | 21.4280 | + | 15.5683i | 0.861263 | + | 0.625744i | 0.928228 | − | 0.372011i | \(-0.121332\pi\) |
−0.0669654 | + | 0.997755i | \(0.521332\pi\) | |||||||
\(620\) | 12.7721 | + | 30.5027i | 0.512938 | + | 1.22502i | ||||
\(621\) | −1.97835 | + | 1.43736i | −0.0793886 | + | 0.0576792i | ||||
\(622\) | −4.63457 | − | 7.39203i | −0.185830 | − | 0.296394i | ||||
\(623\) | 1.63006 | − | 3.19918i | 0.0653071 | − | 0.128172i | ||||
\(624\) | −0.736081 | − | 0.206270i | −0.0294668 | − | 0.00825739i | ||||
\(625\) | −13.3176 | − | 21.1575i | −0.532706 | − | 0.846301i | ||||
\(626\) | 26.2340 | − | 22.8744i | 1.04852 | − | 0.914246i | ||||
\(627\) | −9.03477 | − | 4.60344i | −0.360814 | − | 0.183844i | ||||
\(628\) | 15.0762 | + | 4.55956i | 0.601605 | + | 0.181946i | ||||
\(629\) | 6.57057 | + | 9.04362i | 0.261986 | + | 0.360593i | ||||
\(630\) | −0.750050 | − | 0.249021i | −0.0298827 | − | 0.00992123i | ||||
\(631\) | −14.7217 | + | 20.2627i | −0.586062 | + | 0.806645i | −0.994344 | − | 0.106211i | \(-0.966128\pi\) |
0.408282 | + | 0.912856i | \(0.366128\pi\) | |||||||
\(632\) | −32.7909 | − | 6.81498i | −1.30435 | − | 0.271085i | ||||
\(633\) | 16.4954 | − | 2.61261i | 0.655633 | − | 0.103842i | ||||
\(634\) | 21.9445 | − | 9.35397i | 0.871526 | − | 0.371493i | ||||
\(635\) | −1.32688 | + | 0.0822505i | −0.0526555 | + | 0.00326401i | ||||
\(636\) | 0.388721 | + | 2.16631i | 0.0154138 | + | 0.0858997i | ||||
\(637\) | 1.18132 | − | 0.601912i | 0.0468056 | − | 0.0238486i | ||||
\(638\) | 6.44470 | − | 16.0207i | 0.255148 | − | 0.634267i | ||||
\(639\) | 2.69298 | + | 8.28813i | 0.106532 | + | 0.327873i | ||||
\(640\) | 19.6181 | − | 15.9728i | 0.775473 | − | 0.631381i | ||||
\(641\) | −0.0363080 | + | 0.111745i | −0.00143408 | + | 0.00441365i | −0.951771 | − | 0.306809i | \(-0.900739\pi\) |
0.950337 | + | 0.311223i | \(0.100739\pi\) | |||||||
\(642\) | 14.1760 | + | 11.8587i | 0.559483 | + | 0.468025i | ||||
\(643\) | 1.07400 | + | 1.07400i | 0.0423544 | + | 0.0423544i | 0.727967 | − | 0.685612i | \(-0.240465\pi\) |
−0.685612 | + | 0.727967i | \(0.740465\pi\) | |||||||
\(644\) | −0.881796 | − | 0.846414i | −0.0347476 | − | 0.0333534i | ||||
\(645\) | −17.5333 | − | 7.60654i | −0.690371 | − | 0.299507i | ||||
\(646\) | 5.11838 | + | 1.17354i | 0.201380 | + | 0.0461724i | ||||
\(647\) | 6.72327 | − | 42.4490i | 0.264319 | − | 1.66884i | −0.396299 | − | 0.918122i | \(-0.629706\pi\) |
0.660618 | − | 0.750722i | \(-0.270294\pi\) | |||||||
\(648\) | 0.308377 | + | 2.81157i | 0.0121142 | + | 0.110449i | ||||
\(649\) | − | 0.768184i | − | 0.0301538i | ||||||
\(650\) | 0.285127 | + | 1.32092i | 0.0111836 | + | 0.0518108i | ||||
\(651\) | − | 1.84799i | − | 0.0724283i | ||||||
\(652\) | −0.498040 | + | 0.715862i | −0.0195048 | + | 0.0280353i | ||||
\(653\) | 1.20930 | − | 7.63522i | 0.0473236 | − | 0.298789i | −0.952663 | − | 0.304029i | \(-0.901668\pi\) |
0.999986 | + | 0.00524001i | \(0.00166795\pi\) | |||||||
\(654\) | −5.62270 | + | 24.5233i | −0.219865 | + | 0.958937i | ||||
\(655\) | 2.64789 | − | 27.7385i | 0.103462 | − | 1.08383i | ||||
\(656\) | 13.2541 | + | 16.7551i | 0.517484 | + | 0.654175i | ||||
\(657\) | −3.24696 | − | 3.24696i | −0.126676 | − | 0.126676i | ||||
\(658\) | 1.34052 | − | 1.60248i | 0.0522591 | − | 0.0624711i | ||||
\(659\) | −2.77377 | + | 8.53679i | −0.108051 | + | 0.332546i | −0.990434 | − | 0.137985i | \(-0.955938\pi\) |
0.882384 | + | 0.470531i | \(0.155938\pi\) | |||||||
\(660\) | −4.46692 | + | 10.9023i | −0.173874 | + | 0.424371i | ||||
\(661\) | 9.41319 | + | 28.9708i | 0.366130 | + | 1.12683i | 0.949270 | + | 0.314462i | \(0.101824\pi\) |
−0.583140 | + | 0.812372i | \(0.698176\pi\) | |||||||
\(662\) | −0.327588 | − | 0.131780i | −0.0127321 | − | 0.00512177i | ||||
\(663\) | −0.164274 | + | 0.0837018i | −0.00637988 | + | 0.00325071i | ||||
\(664\) | −11.8691 | + | 14.7935i | −0.460611 | + | 0.574100i | ||||
\(665\) | −1.65855 | + | 1.36949i | −0.0643158 | + | 0.0531067i | ||||
\(666\) | 6.42555 | + | 15.0744i | 0.248985 | + | 0.584121i | ||||
\(667\) | −11.1945 | + | 1.77303i | −0.433452 | + | 0.0686520i | ||||
\(668\) | 16.7703 | − | 12.7168i | 0.648861 | − | 0.492028i | ||||
\(669\) | −12.7688 | + | 17.5748i | −0.493671 | + | 0.679479i | ||||
\(670\) | −26.5403 | − | 19.5432i | −1.02534 | − | 0.755020i | ||||
\(671\) | 18.8449 | + | 25.9378i | 0.727500 | + | 1.00132i | ||||
\(672\) | −1.35600 | + | 0.399919i | −0.0523089 | + | 0.0154272i | ||||
\(673\) | 0.846696 | + | 0.431413i | 0.0326377 | + | 0.0166298i | 0.470233 | − | 0.882542i | \(-0.344170\pi\) |
−0.437595 | + | 0.899172i | \(0.644170\pi\) | |||||||
\(674\) | 5.98482 | + | 6.86381i | 0.230527 | + | 0.264384i | ||||
\(675\) | 4.14058 | − | 2.80278i | 0.159371 | − | 0.107879i | ||||
\(676\) | −3.53086 | + | 25.6854i | −0.135802 | + | 0.987900i | ||||
\(677\) | 2.75206 | − | 5.40123i | 0.105770 | − | 0.207586i | −0.832055 | − | 0.554693i | \(-0.812836\pi\) |
0.937826 | + | 0.347107i | \(0.112836\pi\) | |||||||
\(678\) | −17.3296 | + | 10.8651i | −0.665540 | + | 0.417273i | ||||
\(679\) | −0.830175 | + | 0.603157i | −0.0318592 | + | 0.0231471i | ||||
\(680\) | 0.869578 | − | 6.03922i | 0.0333468 | − | 0.231594i | ||||
\(681\) | 13.4520 | + | 9.77343i | 0.515481 | + | 0.374519i | ||||
\(682\) | −27.4855 | − | 1.88032i | −1.05247 | − | 0.0720011i | ||||
\(683\) | −2.07314 | − | 13.0893i | −0.0793264 | − | 0.500847i | −0.995077 | − | 0.0991009i | \(-0.968403\pi\) |
0.915751 | − | 0.401746i | \(-0.131597\pi\) | |||||||
\(684\) | 6.92887 | + | 3.35360i | 0.264932 | + | 0.128228i | ||||
\(685\) | −13.1237 | + | 20.6375i | −0.501430 | + | 0.788518i | ||||
\(686\) | 2.53072 | − | 4.22626i | 0.0966234 | − | 0.161359i | ||||
\(687\) | 4.23038 | + | 8.30258i | 0.161399 | + | 0.316763i | ||||
\(688\) | −33.5207 | + | 6.72591i | −1.27797 | + | 0.256423i | ||||
\(689\) | −0.200013 | + | 0.0649883i | −0.00761991 | + | 0.00247586i | ||||
\(690\) | 7.64535 | − | 1.16083i | 0.291053 | − | 0.0441920i | ||||
\(691\) | −20.1481 | − | 6.54650i | −0.766468 | − | 0.249041i | −0.100416 | − | 0.994946i | \(-0.532017\pi\) |
−0.666053 | + | 0.745905i | \(0.732017\pi\) | |||||||
\(692\) | 18.4648 | − | 0.378030i | 0.701927 | − | 0.0143705i | ||||
\(693\) | 0.465566 | − | 0.465566i | 0.0176854 | − | 0.0176854i | ||||
\(694\) | −15.3315 | + | 1.36464i | −0.581975 | + | 0.0518009i | ||||
\(695\) | −24.0635 | − | 21.2543i | −0.912781 | − | 0.806223i | ||||
\(696\) | −4.64255 | + | 12.2598i | −0.175975 | + | 0.464706i | ||||
\(697\) | 5.08910 | + | 0.806034i | 0.192763 | + | 0.0305307i | ||||
\(698\) | 13.0572 | − | 3.27646i | 0.494223 | − | 0.124016i | ||||
\(699\) | −13.8420 | −0.523551 | ||||||||
\(700\) | 1.74443 | + | 1.78964i | 0.0659333 | + | 0.0676421i | ||||
\(701\) | 5.50684 | 0.207991 | 0.103995 | − | 0.994578i | \(-0.466837\pi\) | ||||
0.103995 | + | 0.994578i | \(0.466837\pi\) | |||||||
\(702\) | −0.262142 | + | 0.0657794i | −0.00989390 | + | 0.00248269i | ||||
\(703\) | 44.0487 | + | 6.97663i | 1.66133 | + | 0.263129i | ||||
\(704\) | 4.56837 | + | 20.5750i | 0.172177 | + | 0.775451i | ||||
\(705\) | 2.87149 | + | 12.9022i | 0.108147 | + | 0.485927i | ||||
\(706\) | 39.3719 | − | 3.50444i | 1.48178 | − | 0.131891i | ||||
\(707\) | 1.20741 | − | 1.20741i | 0.0454093 | − | 0.0454093i | ||||
\(708\) | 0.0119367 | + | 0.583047i | 0.000448609 | + | 0.0219123i | ||||
\(709\) | −44.2003 | − | 14.3615i | −1.65998 | − | 0.539359i | −0.679108 | − | 0.734038i | \(-0.737633\pi\) |
−0.980867 | + | 0.194679i | \(0.937633\pi\) | |||||||
\(710\) | 4.48505 | − | 27.1907i | 0.168321 | − | 1.02045i | ||||
\(711\) | −11.2615 | + | 3.65909i | −0.422340 | + | 0.137227i | ||||
\(712\) | 35.2830 | + | 20.1583i | 1.32229 | + | 0.755465i | ||||
\(713\) | 8.20910 | + | 16.1113i | 0.307433 | + | 0.603372i | ||||
\(714\) | −0.175172 | + | 0.292534i | −0.00655566 | + | 0.0109478i | ||||
\(715\) | −1.09018 | − | 0.280985i | −0.0407706 | − | 0.0105082i | ||||
\(716\) | −17.9586 | + | 37.1043i | −0.671145 | + | 1.38665i | ||||
\(717\) | 0.162819 | + | 1.02800i | 0.00608057 | + | 0.0383912i | ||||
\(718\) | 50.6120 | + | 3.46243i | 1.88882 | + | 0.129217i | ||||
\(719\) | 34.8703 | + | 25.3348i | 1.30044 | + | 0.944828i | 0.999960 | − | 0.00895909i | \(-0.00285181\pi\) |
0.300484 | + | 0.953787i | \(0.402852\pi\) | |||||||
\(720\) | 3.22096 | − | 8.34419i | 0.120038 | − | 0.310969i | ||||
\(721\) | −1.71156 | + | 1.24352i | −0.0637420 | + | 0.0463113i | ||||
\(722\) | −5.01564 | + | 3.14465i | −0.186663 | + | 0.117032i | ||||
\(723\) | −0.630856 | + | 1.23812i | −0.0234618 | + | 0.0460464i | ||||
\(724\) | 10.0593 | + | 1.38281i | 0.373852 | + | 0.0513918i | ||||
\(725\) | 22.9969 | − | 2.86207i | 0.854084 | − | 0.106294i | ||||
\(726\) | 3.77282 | + | 4.32694i | 0.140023 | + | 0.160588i | ||||
\(727\) | −23.0801 | − | 11.7599i | −0.855994 | − | 0.436151i | −0.0298130 | − | 0.999555i | \(-0.509491\pi\) |
−0.826181 | + | 0.563405i | \(0.809491\pi\) | |||||||
\(728\) | −0.0555038 | − | 0.123161i | −0.00205711 | − | 0.00456464i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 4.39876 | + | 13.8385i | 0.162805 | + | 0.512187i | ||||
\(731\) | −4.84675 | + | 6.67098i | −0.179263 | + | 0.246735i | ||||
\(732\) | −14.7062 | − | 19.3938i | −0.543558 | − | 0.716817i | ||||
\(733\) | 21.7312 | − | 3.44188i | 0.802659 | − | 0.127129i | 0.258391 | − | 0.966040i | \(-0.416808\pi\) |
0.544268 | + | 0.838912i | \(0.316808\pi\) | |||||||
\(734\) | −4.57884 | − | 10.7420i | −0.169008 | − | 0.396494i | ||||
\(735\) | 5.69733 | + | 14.4287i | 0.210149 | + | 0.532211i | ||||
\(736\) | 10.0455 | − | 9.51023i | 0.370282 | − | 0.350552i | ||||
\(737\) | 24.4659 | − | 12.4660i | 0.901212 | − | 0.459190i | ||||
\(738\) | 7.00743 | + | 2.81890i | 0.257947 | + | 0.103765i | ||||
\(739\) | −12.1629 | − | 37.4335i | −0.447419 | − | 1.37701i | −0.879809 | − | 0.475327i | \(-0.842330\pi\) |
0.432390 | − | 0.901686i | \(-0.357670\pi\) | |||||||
\(740\) | 3.86735 | − | 51.6749i | 0.142167 | − | 1.89961i | ||||
\(741\) | −0.227300 | + | 0.699557i | −0.00835007 | + | 0.0256989i | ||||
\(742\) | −0.249556 | + | 0.298322i | −0.00916150 | + | 0.0109518i | ||||
\(743\) | −22.1429 | − | 22.1429i | −0.812343 | − | 0.812343i | 0.172642 | − | 0.984985i | \(-0.444770\pi\) |
−0.984985 | + | 0.172642i | \(0.944770\pi\) | |||||||
\(744\) | 20.8906 | + | 1.00006i | 0.765886 | + | 0.0366639i | ||||
\(745\) | −11.6779 | − | 19.7880i | −0.427846 | − | 0.724975i | ||||
\(746\) | −5.95947 | + | 25.9921i | −0.218192 | + | 0.951639i | ||||
\(747\) | −1.04899 | + | 6.62308i | −0.0383806 | + | 0.242326i | ||||
\(748\) | 4.17269 | + | 2.90303i | 0.152569 | + | 0.106145i | ||||
\(749\) | 3.26612i | 0.119342i | ||||||||
\(750\) | −15.7025 | + | 1.85234i | −0.573375 | + | 0.0676378i | ||||
\(751\) | 2.21081i | 0.0806736i | 0.999186 | + | 0.0403368i | \(0.0128431\pi\) | ||||
−0.999186 | + | 0.0403368i | \(0.987157\pi\) | |||||||
\(752\) | 17.3898 | + | 16.0212i | 0.634140 | + | 0.584232i | ||||
\(753\) | 2.00530 | − | 12.6610i | 0.0730771 | − | 0.461391i | ||||
\(754\) | −1.22098 | − | 0.279946i | −0.0444654 | − | 0.0101950i | ||||
\(755\) | 21.3200 | + | 36.1262i | 0.775914 | + | 1.31477i | ||||
\(756\) | −0.346128 | + | 0.360597i | −0.0125885 | + | 0.0131148i | ||||
\(757\) | −8.95051 | − | 8.95051i | −0.325312 | − | 0.325312i | 0.525489 | − | 0.850801i | \(-0.323882\pi\) |
−0.850801 | + | 0.525489i | \(0.823882\pi\) | |||||||
\(758\) | −7.71221 | − | 6.45151i | −0.280120 | − | 0.234329i | ||||
\(759\) | −1.99081 | + | 6.12707i | −0.0722617 | + | 0.222399i | ||||
\(760\) | −14.5839 | − | 19.4902i | −0.529015 | − | 0.706984i | ||||
\(761\) | −0.436642 | − | 1.34385i | −0.0158283 | − | 0.0487143i | 0.942830 | − | 0.333273i | \(-0.108153\pi\) |
−0.958659 | + | 0.284558i | \(0.908153\pi\) | |||||||
\(762\) | −0.313793 | + | 0.780052i | −0.0113675 | + | 0.0282583i | ||||
\(763\) | −3.96156 | + | 2.01852i | −0.143418 | + | 0.0730752i | ||||
\(764\) | −19.3312 | + | 3.46877i | −0.699378 | + | 0.125496i | ||||
\(765\) | −0.792270 | − | 2.00645i | −0.0286446 | − | 0.0725435i | ||||
\(766\) | −39.3043 | + | 16.7537i | −1.42012 | + | 0.605336i | ||||
\(767\) | −0.0550384 | + | 0.00871722i | −0.00198732 | + | 0.000314761i | ||||
\(768\) | −3.78708 | − | 15.5454i | −0.136654 | − | 0.560945i | ||||
\(769\) | −12.3460 | + | 16.9928i | −0.445207 | + | 0.612774i | −0.971359 | − | 0.237616i | \(-0.923634\pi\) |
0.526153 | + | 0.850390i | \(0.323634\pi\) | |||||||
\(770\) | −1.98425 | + | 0.630718i | −0.0715073 | + | 0.0227295i | ||||
\(771\) | 9.14344 | + | 12.5849i | 0.329293 | + | 0.453233i | ||||
\(772\) | −10.7421 | + | 35.5186i | −0.386616 | + | 1.27834i | ||||
\(773\) | 15.8497 | + | 8.07581i | 0.570073 | + | 0.290467i | 0.715170 | − | 0.698951i | \(-0.246349\pi\) |
−0.145097 | + | 0.989417i | \(0.546349\pi\) | |||||||
\(774\) | −9.11064 | + | 7.94392i | −0.327475 | + | 0.285538i | ||||
\(775\) | −15.6801 | − | 33.4822i | −0.563246 | − | 1.20272i | ||||
\(776\) | −6.36914 | − | 9.71113i | −0.228639 | − | 0.348609i | ||||
\(777\) | −1.31468 | + | 2.58021i | −0.0471639 | + | 0.0925644i | ||||
\(778\) | −27.3228 | − | 43.5792i | −0.979569 | − | 1.56239i | ||||
\(779\) | 16.6306 | − | 12.0828i | 0.595852 | − | 0.432912i | ||||
\(780\) | 0.831811 | + | 0.196326i | 0.0297836 | + | 0.00702959i | ||||
\(781\) | 18.5741 | + | 13.4949i | 0.664634 | + | 0.482885i | ||||
\(782\) | 0.227710 | − | 3.32855i | 0.00814289 | − | 0.119029i | ||||
\(783\) | 0.725053 | + | 4.57780i | 0.0259113 | + | 0.163597i | ||||
\(784\) | 23.0991 | + | 15.3786i | 0.824969 | + | 0.549236i | ||||
\(785\) | −17.0524 | − | 4.39509i | −0.608626 | − | 0.156868i | ||||
\(786\) | −15.1196 | − | 9.05377i | −0.539299 | − | 0.322937i | ||||
\(787\) | 6.97641 | + | 13.6920i | 0.248682 | + | 0.488066i | 0.981278 | − | 0.192598i | \(-0.0616913\pi\) |
−0.732596 | + | 0.680664i | \(0.761691\pi\) | |||||||
\(788\) | −29.5888 | + | 10.2882i | −1.05406 | + | 0.366502i | ||||
\(789\) | 6.61771 | − | 2.15022i | 0.235597 | − | 0.0765500i | ||||
\(790\) | 36.9455 | + | 6.09407i | 1.31446 | + | 0.216817i | ||||
\(791\) | −3.43769 | − | 1.11697i | −0.122230 | − | 0.0397150i | ||||
\(792\) | 5.01105 | + | 5.51494i | 0.178060 | + | 0.195965i | ||||
\(793\) | 1.64453 | − | 1.64453i | 0.0583989 | − | 0.0583989i | ||||
\(794\) | −4.46204 | − | 50.1303i | −0.158352 | − | 1.77906i | ||||
\(795\) | −0.534566 | − | 2.40192i | −0.0189591 | − | 0.0851874i | ||||
\(796\) | 38.8082 | − | 20.7851i | 1.37552 | − | 0.736708i | ||||
\(797\) | −14.9916 | − | 2.37443i | −0.531028 | − | 0.0841066i | −0.114838 | − | 0.993384i | \(-0.536635\pi\) |
−0.416190 | + | 0.909278i | \(0.636635\pi\) | |||||||
\(798\) | 0.331086 | + | 1.31943i | 0.0117203 | + | 0.0467074i | ||||
\(799\) | 5.70276 | 0.201749 | ||||||||
\(800\) | −21.1750 | + | 18.7515i | −0.748651 | + | 0.662964i | ||||
\(801\) | 14.3668 | 0.507627 | ||||||||
\(802\) | 3.02733 | + | 12.0644i | 0.106899 | + | 0.426008i | ||||
\(803\) | −11.9484 | − | 1.89245i | −0.421652 | − | 0.0667830i | ||||
\(804\) | −18.3758 | + | 9.84179i | −0.648063 | + | 0.347093i | ||||
\(805\) | 1.02423 | + | 0.904666i | 0.0360995 | + | 0.0318853i | ||||
\(806\) | 0.177181 | + | 1.99060i | 0.00624095 | + | 0.0701161i | ||||
\(807\) | 12.7438 | − | 12.7438i | 0.448604 | − | 0.448604i | ||||
\(808\) | 12.9958 | + | 14.3026i | 0.457190 | + | 0.503163i | ||||
\(809\) | 12.5987 | + | 4.09358i | 0.442948 | + | 0.143923i | 0.521995 | − | 0.852948i | \(-0.325188\pi\) |
−0.0790472 | + | 0.996871i | \(0.525188\pi\) | |||||||
\(810\) | −0.474703 | − | 3.12644i | −0.0166793 | − | 0.109852i | ||||
\(811\) | −42.5104 | + | 13.8125i | −1.49274 | + | 0.485021i | −0.937891 | − | 0.346929i | \(-0.887225\pi\) |
−0.554850 | + | 0.831950i | \(0.687225\pi\) | |||||||
\(812\) | −2.18817 | + | 0.760837i | −0.0767895 | + | 0.0267002i | ||||
\(813\) | 1.39271 | + | 2.73335i | 0.0488446 | + | 0.0958629i | ||||
\(814\) | 37.0383 | + | 22.1789i | 1.29819 | + | 0.777370i | ||||
\(815\) | 0.523191 | − | 0.822738i | 0.0183266 | − | 0.0288193i | ||||
\(816\) | −3.21216 | − | 2.13855i | −0.112448 | − | 0.0748641i | ||||
\(817\) | 5.14627 | + | 32.4923i | 0.180045 | + | 1.13676i | ||||
\(818\) | −0.992621 | + | 14.5096i | −0.0347062 | + | 0.507317i | ||||
\(819\) | −0.0386398 | − | 0.0280735i | −0.00135018 | − | 0.000980966i | ||||
\(820\) | −15.5818 | − | 18.1028i | −0.544140 | − | 0.632176i | ||||
\(821\) | 14.5355 | − | 10.5607i | 0.507293 | − | 0.368570i | −0.304503 | − | 0.952511i | \(-0.598490\pi\) |
0.811796 | + | 0.583942i | \(0.198490\pi\) | |||||||
\(822\) | 8.21649 | + | 13.1051i | 0.286583 | + | 0.457093i | ||||
\(823\) | 8.43710 | − | 16.5587i | 0.294099 | − | 0.577202i | −0.695923 | − | 0.718117i | \(-0.745004\pi\) |
0.990022 | + | 0.140915i | \(0.0450044\pi\) | |||||||
\(824\) | −13.1312 | − | 20.0213i | −0.457447 | − | 0.697477i | ||||
\(825\) | 4.48492 | − | 12.3856i | 0.156145 | − | 0.431210i | ||||
\(826\) | −0.0776757 | + | 0.0677285i | −0.00270268 | + | 0.00235657i | ||||
\(827\) | 29.9200 | + | 15.2450i | 1.04042 | + | 0.530120i | 0.888789 | − | 0.458317i | \(-0.151548\pi\) |
0.151630 | + | 0.988437i | \(0.451548\pi\) | |||||||
\(828\) | 1.41580 | − | 4.68135i | 0.0492026 | − | 0.162688i | ||||
\(829\) | 16.7470 | + | 23.0502i | 0.581646 | + | 0.800567i | 0.993875 | − | 0.110513i | \(-0.0352495\pi\) |
−0.412229 | + | 0.911080i | \(0.635250\pi\) | |||||||
\(830\) | 12.5735 | − | 17.0752i | 0.436433 | − | 0.592689i | ||||
\(831\) | 7.81833 | − | 10.7610i | 0.271215 | − | 0.373295i | ||||
\(832\) | 1.42231 | − | 0.560794i | 0.0493096 | − | 0.0194420i | ||||
\(833\) | 6.61047 | − | 1.04700i | 0.229039 | − | 0.0362763i | ||||
\(834\) | −18.6795 | + | 7.96224i | −0.646817 | + | 0.275710i | ||||
\(835\) | −18.1446 | + | 14.9823i | −0.627920 | + | 0.518485i | ||||
\(836\) | 19.9611 | − | 3.58181i | 0.690369 | − | 0.123879i | ||||
\(837\) | 6.58845 | − | 3.35698i | 0.227730 | − | 0.116034i | ||||
\(838\) | 8.67578 | − | 21.5669i | 0.299700 | − | 0.745017i | ||||
\(839\) | −6.56174 | − | 20.1950i | −0.226537 | − | 0.697208i | −0.998132 | − | 0.0610942i | \(-0.980541\pi\) |
0.771595 | − | 0.636114i | \(-0.219459\pi\) | |||||||
\(840\) | 1.49623 | − | 0.509545i | 0.0516249 | − | 0.0175810i | ||||
\(841\) | 2.32319 | − | 7.15005i | 0.0801101 | − | 0.246554i | ||||
\(842\) | −20.2107 | − | 16.9069i | −0.696507 | − | 0.582651i | ||||
\(843\) | −15.2505 | − | 15.2505i | −0.525257 | − | 0.525257i | ||||
\(844\) | −23.1304 | + | 24.0973i | −0.796181 | + | 0.829463i | ||||
\(845\) | 2.75457 | − | 28.8560i | 0.0947602 | − | 0.992678i | ||||
\(846\) | 8.14831 | + | 1.86825i | 0.280145 | + | 0.0642316i | ||||
\(847\) | −0.158703 | + | 1.00201i | −0.00545309 | + | 0.0344295i | ||||
\(848\) | −3.23734 | − | 2.98255i | −0.111171 | − | 0.102421i | ||||
\(849\) | − | 13.7650i | − | 0.472414i | ||||||
\(850\) | −0.691667 | + | 6.78654i | −0.0237240 | + | 0.232776i | ||||
\(851\) | − | 28.3350i | − | 0.971313i | ||||||
\(852\) | −14.3073 | − | 9.95392i | −0.490162 | − | 0.341016i | ||||
\(853\) | 0.269113 | − | 1.69911i | 0.00921426 | − | 0.0581766i | −0.982653 | − | 0.185455i | \(-0.940624\pi\) |
0.991867 | + | 0.127278i | \(0.0406241\pi\) | |||||||
\(854\) | 0.961230 | − | 4.19239i | 0.0328926 | − | 0.143461i | ||||
\(855\) | −7.89539 | − | 3.42530i | −0.270017 | − | 0.117143i | ||||
\(856\) | −36.9219 | − | 1.76750i | −1.26197 | − | 0.0604118i | ||||
\(857\) | −9.07518 | − | 9.07518i | −0.310002 | − | 0.310002i | 0.534908 | − | 0.844910i | \(-0.320346\pi\) |
−0.844910 | + | 0.534908i | \(0.820346\pi\) | |||||||
\(858\) | −0.456859 | + | 0.546134i | −0.0155969 | + | 0.0186447i | ||||
\(859\) | −1.35894 | + | 4.18239i | −0.0463665 | + | 0.142701i | −0.971560 | − | 0.236795i | \(-0.923903\pi\) |
0.925193 | + | 0.379497i | \(0.123903\pi\) | |||||||
\(860\) | 37.1336 | − | 9.06591i | 1.26625 | − | 0.309145i | ||||
\(861\) | 0.412470 | + | 1.26945i | 0.0140569 | + | 0.0432628i | ||||
\(862\) | 32.9253 | + | 13.2449i | 1.12144 | + | 0.451124i | ||||
\(863\) | 31.8073 | − | 16.2066i | 1.08273 | − | 0.551679i | 0.180783 | − | 0.983523i | \(-0.442137\pi\) |
0.901948 | + | 0.431844i | \(0.142137\pi\) | |||||||
\(864\) | −3.88906 | − | 4.10795i | −0.132308 | − | 0.139755i | ||||
\(865\) | −20.6091 | + | 1.27752i | −0.700729 | + | 0.0434368i | ||||
\(866\) | −3.49931 | − | 8.20940i | −0.118911 | − | 0.278967i | ||||
\(867\) | 15.8715 | − | 2.51379i | 0.539023 | − | 0.0853728i | ||||
\(868\) | 2.23319 | + | 2.94501i | 0.0757993 | + | 0.0999602i | ||||
\(869\) | −18.3362 | + | 25.2376i | −0.622013 | + | 0.856128i | ||||
\(870\) | 4.61824 | − | 13.9101i | 0.156573 | − | 0.471598i | ||||
\(871\) | −1.17079 | − | 1.61146i | −0.0396707 | − | 0.0546021i | ||||
\(872\) | −20.6745 | − | 45.8758i | −0.700127 | − | 1.55355i | ||||
\(873\) | −3.65845 | − | 1.86407i | −0.123820 | − | 0.0630893i | ||||
\(874\) | −8.74768 | − | 10.0324i | −0.295895 | − | 0.339353i | ||||
\(875\) | −2.03155 | − | 1.91837i | −0.0686789 | − | 0.0648526i | ||||
\(876\) | 9.09822 | + | 1.25069i | 0.307400 | + | 0.0422570i | ||||
\(877\) | 6.92550 | − | 13.5921i | 0.233857 | − | 0.458971i | −0.744018 | − | 0.668160i | \(-0.767082\pi\) |
0.977875 | + | 0.209189i | \(0.0670823\pi\) | |||||||
\(878\) | −8.12908 | + | 5.09668i | −0.274343 | + | 0.172005i | ||||
\(879\) | −7.28655 | + | 5.29399i | −0.245769 | + | 0.178562i | ||||
\(880\) | −6.05617 | − | 22.7722i | −0.204153 | − | 0.767652i | ||||
\(881\) | 27.0196 | + | 19.6309i | 0.910313 | + | 0.661381i | 0.941094 | − | 0.338145i | \(-0.109799\pi\) |
−0.0307807 | + | 0.999526i | \(0.509799\pi\) | |||||||
\(882\) | 9.78829 | + | 0.669628i | 0.329589 | + | 0.0225476i | ||||
\(883\) | 3.46901 | + | 21.9024i | 0.116741 | + | 0.737076i | 0.974727 | + | 0.223401i | \(0.0717160\pi\) |
−0.857985 | + | 0.513674i | \(0.828284\pi\) | |||||||
\(884\) | 0.160644 | − | 0.331906i | 0.00540303 | − | 0.0111632i | ||||
\(885\) | −0.0403390 | − | 0.650754i | −0.00135598 | − | 0.0218749i | ||||
\(886\) | −26.9982 | + | 45.0864i | −0.907022 | + | 1.51471i | ||||
\(887\) | −10.7076 | − | 21.0148i | −0.359526 | − | 0.705609i | 0.638419 | − | 0.769689i | \(-0.279589\pi\) |
−0.997945 | + | 0.0640801i | \(0.979589\pi\) | |||||||
\(888\) | −28.4565 | − | 16.2581i | −0.954939 | − | 0.545587i | ||||
\(889\) | −0.141313 | + | 0.0459152i | −0.00473947 | + | 0.00153995i | ||||
\(890\) | −40.3474 | − | 20.8842i | −1.35245 | − | 0.700038i | ||||
\(891\) | 2.50557 | + | 0.814109i | 0.0839398 | + | 0.0272737i | ||||
\(892\) | −0.889306 | − | 43.4381i | −0.0297762 | − | 1.45441i | ||||
\(893\) | 16.0879 | − | 16.0879i | 0.538361 | − | 0.538361i | ||||
\(894\) | −14.4746 | + | 1.28837i | −0.484104 | + | 0.0430896i | ||||
\(895\) | 18.3426 | − | 42.2801i | 0.613124 | − | 1.41327i | ||||
\(896\) | 1.67769 | − | 2.27598i | 0.0560476 | − | 0.0760350i | ||||
\(897\) | 0.461580 | + | 0.0731072i | 0.0154117 | + | 0.00244098i | ||||
\(898\) | 16.9191 | − | 4.24553i | 0.564599 | − | 0.141675i | ||||
\(899\) | 34.2720 | 1.14304 | ||||||||
\(900\) | −3.21157 | + | 9.47026i | −0.107052 | + | 0.315675i | ||||
\(901\) | −1.06164 | −0.0353685 | ||||||||
\(902\) | 19.3005 | − | 4.84310i | 0.642638 | − | 0.161258i | ||||
\(903\) | −2.10980 | − | 0.334159i | −0.0702096 | − | 0.0111201i | ||||
\(904\) | 14.4872 | − | 38.2569i | 0.481836 | − | 1.27241i | ||||
\(905\) | −11.3011 | − | 1.07879i | −0.375660 | − | 0.0358602i | ||||
\(906\) | 26.4258 | − | 2.35213i | 0.877940 | − | 0.0781444i | ||||
\(907\) | 26.5114 | − | 26.5114i | 0.880297 | − | 0.880297i | −0.113268 | − | 0.993564i | \(-0.536132\pi\) |
0.993564 | + | 0.113268i | \(0.0361319\pi\) | |||||||
\(908\) | −33.2481 | + | 0.680688i | −1.10338 | + | 0.0225894i | ||||
\(909\) | 6.49800 | + | 2.11133i | 0.215525 | + | 0.0700283i | ||||
\(910\) | 0.0677063 | + | 0.135009i | 0.00224444 | + | 0.00447550i | ||||
\(911\) | 40.0136 | − | 13.0012i | 1.32571 | − | 0.430749i | 0.441258 | − | 0.897381i | \(-0.354533\pi\) |
0.884452 | + | 0.466631i | \(0.154533\pi\) | |||||||
\(912\) | −15.0947 | + | 3.02874i | −0.499836 | + | 0.100292i | ||||
\(913\) | 8.02024 | + | 15.7406i | 0.265431 | + | 0.520938i | ||||
\(914\) | −21.6948 | + | 36.2299i | −0.717600 | + | 1.19838i | ||||
\(915\) | 17.3262 | + | 20.9832i | 0.572787 | + | 0.693684i | ||||
\(916\) | −16.7749 | − | 8.11910i | −0.554257 | − | 0.268263i | ||||
\(917\) | −0.487187 | − | 3.07598i | −0.0160883 | − | 0.101578i | ||||
\(918\) | −1.36116 | − | 0.0931184i | −0.0449249 | − | 0.00307336i | ||||
\(919\) | 34.7296 | + | 25.2325i | 1.14562 | + | 0.832345i | 0.987893 | − | 0.155138i | \(-0.0495821\pi\) |
0.157731 | + | 0.987482i | \(0.449582\pi\) | |||||||
\(920\) | −10.7811 | + | 11.0889i | −0.355442 | + | 0.365590i | ||||
\(921\) | 22.6792 | − | 16.4774i | 0.747306 | − | 0.542950i | ||||
\(922\) | −48.8970 | + | 30.6569i | −1.61034 | + | 1.00963i | ||||
\(923\) | 0.756098 | − | 1.48393i | 0.0248873 | − | 0.0488440i | ||||
\(924\) | −0.179331 | + | 1.30455i | −0.00589956 | + | 0.0429166i | ||||
\(925\) | −1.92671 | + | 57.9038i | −0.0633497 | + | 1.90387i | ||||
\(926\) | −37.1310 | − | 42.5845i | −1.22020 | − | 1.39941i | ||||
\(927\) | −7.54259 | − | 3.84314i | −0.247731 | − | 0.126225i | ||||
\(928\) | −7.41675 | − | 25.1479i | −0.243467 | − | 0.825519i | ||||
\(929\) | −17.0062 | − | 23.4070i | −0.557956 | − | 0.767960i | 0.433109 | − | 0.901341i | \(-0.357416\pi\) |
−0.991065 | + | 0.133381i | \(0.957416\pi\) | |||||||
\(930\) | −23.3826 | − | 0.149556i | −0.766747 | − | 0.00490414i | ||||
\(931\) | 15.6950 | − | 21.6023i | 0.514381 | − | 0.707985i | ||||
\(932\) | 22.0590 | − | 16.7272i | 0.722566 | − | 0.547918i | ||||
\(933\) | 6.09338 | − | 0.965097i | 0.199488 | − | 0.0315959i | ||||
\(934\) | 11.2947 | + | 26.4974i | 0.369573 | + | 0.867022i | ||||
\(935\) | −4.79567 | − | 3.04963i | −0.156835 | − | 0.0997337i | ||||
\(936\) | 0.338267 | − | 0.421612i | 0.0110566 | − | 0.0137808i | ||||
\(937\) | −20.3509 | + | 10.3693i | −0.664836 | + | 0.338751i | −0.753630 | − | 0.657299i | \(-0.771699\pi\) |
0.0887940 | + | 0.996050i | \(0.471699\pi\) | |||||||
\(938\) | −3.41760 | − | 1.37481i | −0.111588 | − | 0.0448890i | ||||
\(939\) | 7.60541 | + | 23.4070i | 0.248193 | + | 0.763860i | ||||
\(940\) | −20.1677 | − | 17.0914i | −0.657799 | − | 0.557460i | ||||
\(941\) | −3.11642 | + | 9.59135i | −0.101592 | + | 0.312669i | −0.988916 | − | 0.148479i | \(-0.952562\pi\) |
0.887323 | + | 0.461148i | \(0.152562\pi\) | |||||||
\(942\) | −7.14607 | + | 8.54248i | −0.232831 | + | 0.278329i | ||||
\(943\) | −9.23518 | − | 9.23518i | −0.300739 | − | 0.300739i | ||||
\(944\) | −0.723602 | − | 0.914738i | −0.0235512 | − | 0.0297722i | ||||
\(945\) | 0.369949 | − | 0.418845i | 0.0120344 | − | 0.0136250i | ||||
\(946\) | −7.11673 | + | 31.0395i | −0.231385 | + | 1.00918i | ||||
\(947\) | 6.29820 | − | 39.7653i | 0.204664 | − | 1.29220i | −0.644718 | − | 0.764420i | \(-0.723025\pi\) |
0.849382 | − | 0.527778i | \(-0.176975\pi\) | |||||||
\(948\) | 13.5249 | − | 19.4402i | 0.439269 | − | 0.631387i | ||||
\(949\) | 0.877551i | 0.0284865i | ||||||||
\(950\) | 17.1941 | + | 21.0965i | 0.557849 | + | 0.684462i | ||||
\(951\) | 16.8680i | 0.546981i | ||||||||
\(952\) | −0.0743508 | − | 0.677878i | −0.00240972 | − | 0.0219702i | ||||
\(953\) | −2.29969 | + | 14.5197i | −0.0744943 | + | 0.470338i | 0.922036 | + | 0.387105i | \(0.126525\pi\) |
−0.996530 | + | 0.0832336i | \(0.973475\pi\) | |||||||
\(954\) | −1.51692 | − | 0.347798i | −0.0491120 | − | 0.0112604i | ||||
\(955\) | 21.4337 | − | 4.77023i | 0.693579 | − | 0.154361i | ||||
\(956\) | −1.50175 | − | 1.44149i | −0.0485700 | − | 0.0466211i | ||||
\(957\) | 8.63421 | + | 8.63421i | 0.279104 | + | 0.279104i | ||||
\(958\) | 7.70598 | + | 6.44630i | 0.248969 | + | 0.208271i | ||||
\(959\) | −0.844683 | + | 2.59967i | −0.0272762 | + | 0.0839476i | ||||
\(960\) | 4.95046 | + | 17.1899i | 0.159775 | + | 0.554802i | ||||
\(961\) | −7.31661 | − | 22.5182i | −0.236020 | − | 0.726394i | ||||
\(962\) | 1.16876 | − | 2.90538i | 0.0376822 | − | 0.0936733i | ||||
\(963\) | −11.6444 | + | 5.93312i | −0.375236 | + | 0.191192i | ||||
\(964\) | −0.490851 | − | 2.73547i | −0.0158092 | − | 0.0881036i | ||||
\(965\) | 10.3546 | − | 40.1745i | 0.333326 | − | 1.29326i | ||||
\(966\) | 0.795069 | − | 0.338903i | 0.0255809 | − | 0.0109040i | ||||
\(967\) | −46.6505 | + | 7.38871i | −1.50018 | + | 0.237605i | −0.851862 | − | 0.523766i | \(-0.824527\pi\) |
−0.648316 | + | 0.761371i | \(0.724527\pi\) | |||||||
\(968\) | −11.2413 | − | 2.33630i | −0.361311 | − | 0.0750917i | ||||
\(969\) | −2.18254 | + | 3.00401i | −0.0701132 | + | 0.0965025i | ||||
\(970\) | 7.56459 | + | 10.5531i | 0.242884 | + | 0.338838i | ||||
\(971\) | 9.67925 | + | 13.3223i | 0.310622 | + | 0.427534i | 0.935575 | − | 0.353128i | \(-0.114882\pi\) |
−0.624953 | + | 0.780662i | \(0.714882\pi\) | |||||||
\(972\) | −1.91436 | − | 0.578971i | −0.0614033 | − | 0.0185705i | ||||
\(973\) | −3.19727 | − | 1.62909i | −0.102500 | − | 0.0522262i | ||||
\(974\) | −29.0568 | + | 25.3358i | −0.931041 | + | 0.811811i | ||||
\(975\) | −0.938287 | − | 0.180784i | −0.0300492 | − | 0.00578971i | ||||
\(976\) | 46.8727 | + | 13.1350i | 1.50036 | + | 0.420441i | ||||
\(977\) | −3.65591 | + | 7.17512i | −0.116963 | + | 0.229552i | −0.942064 | − | 0.335432i | \(-0.891118\pi\) |
0.825102 | + | 0.564984i | \(0.191118\pi\) | |||||||
\(978\) | −0.327560 | − | 0.522451i | −0.0104742 | − | 0.0167061i | ||||
\(979\) | 30.6210 | − | 22.2474i | 0.978651 | − | 0.711031i | ||||
\(980\) | −26.5157 | − | 16.1092i | −0.847014 | − | 0.514589i | ||||
\(981\) | −14.3928 | − | 10.4570i | −0.459528 | − | 0.333867i | ||||
\(982\) | −2.71324 | + | 39.6608i | −0.0865830 | + | 1.26563i | ||||
\(983\) | 5.96372 | + | 37.6535i | 0.190213 | + | 1.20096i | 0.879296 | + | 0.476276i | \(0.158014\pi\) |
−0.689082 | + | 0.724683i | \(0.741986\pi\) | |||||||
\(984\) | −14.5738 | + | 3.97580i | −0.464594 | + | 0.126744i | ||||
\(985\) | 32.5764 | − | 12.8631i | 1.03797 | − | 0.409854i | ||||
\(986\) | −5.42523 | − | 3.24868i | −0.172774 | − | 0.103459i | ||||
\(987\) | 0.670689 | + | 1.31630i | 0.0213483 | + | 0.0418983i | ||||
\(988\) | −0.483143 | − | 1.38952i | −0.0153708 | − | 0.0442064i | ||||
\(989\) | 19.8782 | − | 6.45882i | 0.632090 | − | 0.205379i | ||||
\(990\) | −5.85315 | − | 5.92851i | −0.186025 | − | 0.188420i | ||||
\(991\) | −20.3267 | − | 6.60455i | −0.645699 | − | 0.209800i | −0.0321823 | − | 0.999482i | \(-0.510246\pi\) |
−0.613517 | + | 0.789682i | \(0.710246\pi\) | |||||||
\(992\) | −34.5004 | + | 23.6514i | −1.09539 | + | 0.750931i | ||||
\(993\) | 0.176550 | − | 0.176550i | 0.00560266 | − | 0.00560266i | ||||
\(994\) | −0.273074 | − | 3.06795i | −0.00866139 | − | 0.0973093i | ||||
\(995\) | −42.3889 | + | 25.0159i | −1.34382 | + | 0.793059i | ||||
\(996\) | −6.33191 | − | 11.8224i | −0.200634 | − | 0.374607i | ||||
\(997\) | −40.7447 | − | 6.45333i | −1.29040 | − | 0.204379i | −0.526755 | − | 0.850017i | \(-0.676591\pi\) |
−0.763643 | + | 0.645639i | \(0.776591\pi\) | |||||||
\(998\) | −4.58608 | − | 18.2763i | −0.145170 | − | 0.578525i | ||||
\(999\) | −11.5872 | −0.366602 |
(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 | 300.2.w.a.67.13 | ✓ | 240 | |
3.2 | odd | 2 | 900.2.bj.f.667.18 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.67.27 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.667.4 | 240 | |||
25.3 | odd | 20 | inner | 300.2.w.a.103.27 | yes | 240 | |
75.53 | even | 20 | 900.2.bj.f.703.4 | 240 | |||
100.3 | even | 20 | inner | 300.2.w.a.103.13 | yes | 240 | |
300.203 | odd | 20 | 900.2.bj.f.703.18 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.13 | ✓ | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.67.27 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.103.13 | yes | 240 | 100.3 | even | 20 | inner | |
300.2.w.a.103.27 | yes | 240 | 25.3 | odd | 20 | inner | |
900.2.bj.f.667.4 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.667.18 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.703.4 | 240 | 75.53 | even | 20 | |||
900.2.bj.f.703.18 | 240 | 300.203 | odd | 20 |