Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(11,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.v (of order \(6\), degree \(2\), 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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 168.11 |
Dual form | 168.2.v.a.107.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08135 | + | 0.911422i | −0.764627 | + | 0.644473i | ||||
\(3\) | −0.316681 | + | 1.70285i | −0.182836 | + | 0.983143i | ||||
\(4\) | 0.338619 | − | 1.97113i | 0.169310 | − | 0.985563i | ||||
\(5\) | 1.86088 | + | 3.22314i | 0.832210 | + | 1.44143i | 0.896282 | + | 0.443485i | \(0.146258\pi\) |
−0.0640716 | + | 0.997945i | \(0.520409\pi\) | |||||||
\(6\) | −1.20958 | − | 2.13001i | −0.493808 | − | 0.869571i | ||||
\(7\) | 2.46429 | − | 0.962962i | 0.931412 | − | 0.363965i | ||||
\(8\) | 1.43036 | + | 2.44009i | 0.505710 | + | 0.862704i | ||||
\(9\) | −2.79943 | − | 1.07852i | −0.933142 | − | 0.359508i | ||||
\(10\) | −4.94989 | − | 1.78928i | −1.56529 | − | 0.565820i | ||||
\(11\) | −2.26958 | − | 1.31034i | −0.684304 | − | 0.395083i | 0.117171 | − | 0.993112i | \(-0.462618\pi\) |
−0.801475 | + | 0.598029i | \(0.795951\pi\) | |||||||
\(12\) | 3.24931 | + | 1.20084i | 0.937994 | + | 0.346652i | ||||
\(13\) | 3.57182i | 0.990645i | 0.868709 | + | 0.495323i | \(0.164950\pi\) | ||||
−0.868709 | + | 0.495323i | \(0.835050\pi\) | |||||||
\(14\) | −1.78708 | + | 3.28730i | −0.477618 | + | 0.878568i | ||||
\(15\) | −6.07784 | + | 2.14810i | −1.56929 | + | 0.554637i | ||||
\(16\) | −3.77067 | − | 1.33492i | −0.942669 | − | 0.333730i | ||||
\(17\) | 0.186192 | + | 0.107498i | 0.0451582 | + | 0.0260721i | 0.522409 | − | 0.852695i | \(-0.325033\pi\) |
−0.477251 | + | 0.878767i | \(0.658367\pi\) | |||||||
\(18\) | 4.01014 | − | 1.38520i | 0.945199 | − | 0.326495i | ||||
\(19\) | −1.14103 | − | 1.97631i | −0.261769 | − | 0.453398i | 0.704943 | − | 0.709264i | \(-0.250973\pi\) |
−0.966712 | + | 0.255866i | \(0.917639\pi\) | |||||||
\(20\) | 6.98334 | − | 2.57661i | 1.56152 | − | 0.576148i | ||||
\(21\) | 0.859391 | + | 4.50127i | 0.187535 | + | 0.982258i | ||||
\(22\) | 3.64848 | − | 0.651612i | 0.777858 | − | 0.138924i | ||||
\(23\) | −2.33586 | − | 4.04583i | −0.487061 | − | 0.843615i | 0.512828 | − | 0.858491i | \(-0.328598\pi\) |
−0.999889 | + | 0.0148767i | \(0.995264\pi\) | |||||||
\(24\) | −4.60809 | + | 1.66297i | −0.940623 | + | 0.339452i | ||||
\(25\) | −4.42574 | + | 7.66560i | −0.885148 | + | 1.53312i | ||||
\(26\) | −3.25544 | − | 3.86238i | −0.638444 | − | 0.757474i | ||||
\(27\) | 2.72309 | − | 4.42547i | 0.524060 | − | 0.851682i | ||||
\(28\) | −1.06366 | − | 5.18349i | −0.201014 | − | 0.979588i | ||||
\(29\) | 2.57415 | 0.478008 | 0.239004 | − | 0.971019i | \(-0.423179\pi\) | ||||
0.239004 | + | 0.971019i | \(0.423179\pi\) | |||||||
\(30\) | 4.61442 | − | 7.86231i | 0.842474 | − | 1.43546i | ||||
\(31\) | 4.26196 | + | 2.46064i | 0.765471 | + | 0.441945i | 0.831257 | − | 0.555889i | \(-0.187622\pi\) |
−0.0657857 | + | 0.997834i | \(0.520955\pi\) | |||||||
\(32\) | 5.29408 | − | 1.99316i | 0.935870 | − | 0.352345i | ||||
\(33\) | 2.95006 | − | 3.44980i | 0.513539 | − | 0.600534i | ||||
\(34\) | −0.299314 | + | 0.0534570i | −0.0513319 | + | 0.00916779i | ||||
\(35\) | 7.68949 | + | 6.15077i | 1.29976 | + | 1.03967i | ||||
\(36\) | −3.07384 | + | 5.15281i | −0.512307 | + | 0.858802i | ||||
\(37\) | 7.31104 | − | 4.22103i | 1.20193 | − | 0.693933i | 0.240944 | − | 0.970539i | \(-0.422543\pi\) |
0.960983 | + | 0.276606i | \(0.0892098\pi\) | |||||||
\(38\) | 3.03510 | + | 1.09712i | 0.492358 | + | 0.177977i | ||||
\(39\) | −6.08229 | − | 1.13113i | −0.973946 | − | 0.181125i | ||||
\(40\) | −5.20302 | + | 9.15098i | −0.822670 | + | 1.44690i | ||||
\(41\) | 0.909442i | 0.142031i | 0.997475 | + | 0.0710155i | \(0.0226240\pi\) | ||||
−0.997475 | + | 0.0710155i | \(0.977376\pi\) | |||||||
\(42\) | −5.03186 | − | 4.08416i | −0.776433 | − | 0.630200i | ||||
\(43\) | 3.73541 | 0.569644 | 0.284822 | − | 0.958580i | \(-0.408065\pi\) | ||||
0.284822 | + | 0.958580i | \(0.408065\pi\) | |||||||
\(44\) | −3.35137 | + | 4.02992i | −0.505239 | + | 0.607533i | ||||
\(45\) | −1.73317 | − | 11.0299i | −0.258365 | − | 1.64425i | ||||
\(46\) | 6.21334 | + | 2.24599i | 0.916107 | + | 0.331153i | ||||
\(47\) | −0.586728 | − | 1.01624i | −0.0855831 | − | 0.148234i | 0.820056 | − | 0.572283i | \(-0.193942\pi\) |
−0.905640 | + | 0.424048i | \(0.860609\pi\) | |||||||
\(48\) | 3.46728 | − | 5.99816i | 0.500459 | − | 0.865761i | ||||
\(49\) | 5.14541 | − | 4.74603i | 0.735058 | − | 0.678004i | ||||
\(50\) | −2.20085 | − | 12.3229i | −0.311247 | − | 1.74272i | ||||
\(51\) | −0.242017 | + | 0.283015i | −0.0338891 | + | 0.0396301i | ||||
\(52\) | 7.04051 | + | 1.20949i | 0.976343 | + | 0.167726i | ||||
\(53\) | −1.06171 | + | 1.83894i | −0.145837 | + | 0.252598i | −0.929685 | − | 0.368355i | \(-0.879921\pi\) |
0.783848 | + | 0.620953i | \(0.213254\pi\) | |||||||
\(54\) | 1.08886 | + | 7.26735i | 0.148176 | + | 0.988961i | ||||
\(55\) | − | 9.75355i | − | 1.31517i | ||||||
\(56\) | 5.87454 | + | 4.63570i | 0.785019 | + | 0.619472i | ||||
\(57\) | 3.72672 | − | 1.31714i | 0.493616 | − | 0.174459i | ||||
\(58\) | −2.78355 | + | 2.34614i | −0.365498 | + | 0.308063i | ||||
\(59\) | −6.79199 | − | 3.92136i | −0.884242 | − | 0.510517i | −0.0121872 | − | 0.999926i | \(-0.503879\pi\) |
−0.872055 | + | 0.489408i | \(0.837213\pi\) | |||||||
\(60\) | 2.17610 | + | 12.7076i | 0.280934 | + | 1.64054i | ||||
\(61\) | −0.301301 | + | 0.173956i | −0.0385776 | + | 0.0222728i | −0.519165 | − | 0.854674i | \(-0.673757\pi\) |
0.480587 | + | 0.876947i | \(0.340424\pi\) | |||||||
\(62\) | −6.85134 | + | 1.22364i | −0.870121 | + | 0.155402i | ||||
\(63\) | −7.93716 | + | 0.0379510i | −0.999989 | + | 0.00478137i | ||||
\(64\) | −3.90812 | + | 6.98044i | −0.488515 | + | 0.872555i | ||||
\(65\) | −11.5125 | + | 6.64673i | −1.42795 | + | 0.824425i | ||||
\(66\) | −0.0458036 | + | 6.41918i | −0.00563803 | + | 0.790146i | ||||
\(67\) | −4.98736 | + | 8.63836i | −0.609303 | + | 1.05534i | 0.382053 | + | 0.924140i | \(0.375217\pi\) |
−0.991356 | + | 0.131203i | \(0.958116\pi\) | |||||||
\(68\) | 0.274940 | − | 0.330607i | 0.0333414 | − | 0.0400920i | ||||
\(69\) | 7.62919 | − | 2.69640i | 0.918446 | − | 0.324608i | ||||
\(70\) | −13.9210 | + | 0.357259i | −1.66387 | + | 0.0427006i | ||||
\(71\) | 10.0808 | 1.19637 | 0.598183 | − | 0.801359i | \(-0.295889\pi\) | ||||
0.598183 | + | 0.801359i | \(0.295889\pi\) | |||||||
\(72\) | −1.37250 | − | 8.37354i | −0.161750 | − | 0.986832i | ||||
\(73\) | 4.45173 | − | 7.71062i | 0.521036 | − | 0.902460i | −0.478665 | − | 0.877998i | \(-0.658879\pi\) |
0.999701 | − | 0.0244626i | \(-0.00778746\pi\) | |||||||
\(74\) | −4.05862 | + | 11.2278i | −0.471805 | + | 1.30521i | ||||
\(75\) | −11.6519 | − | 9.96394i | −1.34544 | − | 1.15054i | ||||
\(76\) | −4.28194 | + | 1.57989i | −0.491172 | + | 0.181226i | ||||
\(77\) | −6.85470 | − | 1.04354i | −0.781166 | − | 0.118922i | ||||
\(78\) | 7.60800 | − | 4.32040i | 0.861436 | − | 0.489188i | ||||
\(79\) | −9.70950 | + | 5.60578i | −1.09240 | + | 0.630700i | −0.934216 | − | 0.356709i | \(-0.883899\pi\) |
−0.158189 | + | 0.987409i | \(0.550566\pi\) | |||||||
\(80\) | −2.71413 | − | 14.6375i | −0.303449 | − | 1.63652i | ||||
\(81\) | 6.67358 | + | 6.03849i | 0.741508 | + | 0.670944i | ||||
\(82\) | −0.828886 | − | 0.983422i | −0.0915351 | − | 0.108601i | ||||
\(83\) | − | 1.73937i | − | 0.190921i | −0.995433 | − | 0.0954603i | \(-0.969568\pi\) | ||
0.995433 | − | 0.0954603i | \(-0.0304323\pi\) | |||||||
\(84\) | 9.16358 | − | 0.169751i | 0.999828 | − | 0.0185214i | ||||
\(85\) | 0.800163i | 0.0867898i | ||||||||
\(86\) | −4.03927 | + | 3.40453i | −0.435566 | + | 0.367120i | ||||
\(87\) | −0.815185 | + | 4.38341i | −0.0873970 | + | 0.469950i | ||||
\(88\) | −0.0489643 | − | 7.41226i | −0.00521961 | − | 0.790149i | ||||
\(89\) | 15.4694 | − | 8.93127i | 1.63975 | − | 0.946712i | 0.658837 | − | 0.752286i | \(-0.271049\pi\) |
0.980917 | − | 0.194426i | \(-0.0622845\pi\) | |||||||
\(90\) | 11.9271 | + | 10.3475i | 1.25722 | + | 1.09073i | ||||
\(91\) | 3.43953 | + | 8.80199i | 0.360560 | + | 0.922699i | ||||
\(92\) | −8.76581 | + | 3.23428i | −0.913899 | + | 0.337197i | ||||
\(93\) | −5.53980 | + | 6.47826i | −0.574451 | + | 0.671764i | ||||
\(94\) | 1.56068 | + | 0.564153i | 0.160972 | + | 0.0581880i | ||||
\(95\) | 4.24662 | − | 7.35536i | 0.435694 | − | 0.754644i | ||||
\(96\) | 1.71753 | + | 9.64625i | 0.175295 | + | 0.984516i | ||||
\(97\) | −8.88553 | −0.902189 | −0.451094 | − | 0.892476i | \(-0.648966\pi\) | ||||
−0.451094 | + | 0.892476i | \(0.648966\pi\) | |||||||
\(98\) | −1.23834 | + | 9.82174i | −0.125091 | + | 0.992145i | ||||
\(99\) | 4.94029 | + | 6.11600i | 0.496518 | + | 0.614681i | ||||
\(100\) | 13.6112 | + | 11.3194i | 1.36112 | + | 1.13194i | ||||
\(101\) | −7.38721 | + | 12.7950i | −0.735055 | + | 1.27315i | 0.219644 | + | 0.975580i | \(0.429510\pi\) |
−0.954699 | + | 0.297573i | \(0.903823\pi\) | |||||||
\(102\) | 0.00375764 | − | 0.526617i | 0.000372062 | − | 0.0521429i | ||||
\(103\) | 6.50151 | − | 3.75365i | 0.640613 | − | 0.369858i | −0.144238 | − | 0.989543i | \(-0.546073\pi\) |
0.784851 | + | 0.619685i | \(0.212740\pi\) | |||||||
\(104\) | −8.71558 | + | 5.10900i | −0.854633 | + | 0.500979i | ||||
\(105\) | −12.9090 | + | 11.1463i | −1.25979 | + | 1.08776i | ||||
\(106\) | −0.527972 | − | 2.95620i | −0.0512812 | − | 0.287131i | ||||
\(107\) | 10.9396 | − | 6.31597i | 1.05757 | − | 0.610588i | 0.132810 | − | 0.991141i | \(-0.457600\pi\) |
0.924759 | + | 0.380554i | \(0.124267\pi\) | |||||||
\(108\) | −7.80106 | − | 6.86611i | −0.750658 | − | 0.660691i | ||||
\(109\) | −11.2275 | − | 6.48219i | −1.07540 | − | 0.620881i | −0.145747 | − | 0.989322i | \(-0.546558\pi\) |
−0.929651 | + | 0.368441i | \(0.879892\pi\) | |||||||
\(110\) | 8.88961 | + | 10.5470i | 0.847591 | + | 1.00561i | ||||
\(111\) | 4.87253 | + | 13.7864i | 0.462480 | + | 1.30854i | ||||
\(112\) | −10.5775 | + | 0.341386i | −0.999480 | + | 0.0322579i | ||||
\(113\) | − | 7.10498i | − | 0.668380i | −0.942506 | − | 0.334190i | \(-0.891537\pi\) | ||
0.942506 | − | 0.334190i | \(-0.108463\pi\) | |||||||
\(114\) | −2.82940 | + | 4.82090i | −0.264998 | + | 0.451518i | ||||
\(115\) | 8.69351 | − | 15.0576i | 0.810674 | − | 1.40413i | ||||
\(116\) | 0.871657 | − | 5.07398i | 0.0809313 | − | 0.471107i | ||||
\(117\) | 3.85229 | − | 9.99905i | 0.356145 | − | 0.924413i | ||||
\(118\) | 10.9185 | − | 1.95003i | 1.00513 | − | 0.179514i | ||||
\(119\) | 0.562347 | + | 0.0856100i | 0.0515502 | + | 0.00784786i | ||||
\(120\) | −13.9351 | − | 11.7579i | −1.27209 | − | 1.07335i | ||||
\(121\) | −2.06600 | − | 3.57842i | −0.187819 | − | 0.325311i | ||||
\(122\) | 0.167263 | − | 0.462719i | 0.0151433 | − | 0.0418926i | ||||
\(123\) | −1.54865 | − | 0.288003i | −0.139637 | − | 0.0259684i | ||||
\(124\) | 6.29342 | − | 7.56764i | 0.565166 | − | 0.679594i | ||||
\(125\) | −14.3343 | −1.28210 | ||||||||
\(126\) | 8.54823 | − | 7.27514i | 0.761537 | − | 0.648121i | ||||
\(127\) | 2.53093i | 0.224584i | 0.993675 | + | 0.112292i | \(0.0358192\pi\) | ||||
−0.993675 | + | 0.112292i | \(0.964181\pi\) | |||||||
\(128\) | −2.13610 | − | 11.1102i | −0.188806 | − | 0.982014i | ||||
\(129\) | −1.18293 | + | 6.36086i | −0.104151 | + | 0.560042i | ||||
\(130\) | 6.39099 | − | 17.6801i | 0.560527 | − | 1.55065i | ||||
\(131\) | −5.04824 | + | 2.91460i | −0.441067 | + | 0.254650i | −0.704050 | − | 0.710150i | \(-0.748627\pi\) |
0.262983 | + | 0.964800i | \(0.415294\pi\) | |||||||
\(132\) | −5.80105 | − | 6.98310i | −0.504917 | − | 0.607801i | ||||
\(133\) | −4.71493 | − | 3.77144i | −0.408836 | − | 0.327025i | ||||
\(134\) | −2.48013 | − | 13.8866i | −0.214251 | − | 1.19962i | ||||
\(135\) | 19.3312 | + | 0.541642i | 1.66377 | + | 0.0466171i | ||||
\(136\) | 0.00401694 | + | 0.608087i | 0.000344449 | + | 0.0521430i | ||||
\(137\) | −8.15158 | − | 4.70632i | −0.696437 | − | 0.402088i | 0.109582 | − | 0.993978i | \(-0.465049\pi\) |
−0.806019 | + | 0.591890i | \(0.798382\pi\) | |||||||
\(138\) | −5.79224 | + | 9.86915i | −0.493068 | + | 0.840118i | ||||
\(139\) | −7.53929 | −0.639474 | −0.319737 | − | 0.947506i | \(-0.603595\pi\) | ||||
−0.319737 | + | 0.947506i | \(0.603595\pi\) | |||||||
\(140\) | 14.7278 | − | 13.0742i | 1.24472 | − | 1.10497i | ||||
\(141\) | 1.91632 | − | 0.677288i | 0.161383 | − | 0.0570379i | ||||
\(142\) | −10.9008 | + | 9.18783i | −0.914774 | + | 0.771026i | ||||
\(143\) | 4.68031 | − | 8.10654i | 0.391387 | − | 0.677903i | ||||
\(144\) | 9.11598 | + | 7.80378i | 0.759665 | + | 0.650315i | ||||
\(145\) | 4.79018 | + | 8.29684i | 0.397803 | + | 0.689015i | ||||
\(146\) | 2.21377 | + | 12.3953i | 0.183213 | + | 1.02584i | ||||
\(147\) | 6.45234 | + | 10.2649i | 0.532180 | + | 0.846631i | ||||
\(148\) | −5.84452 | − | 15.8403i | −0.480417 | − | 1.30206i | ||||
\(149\) | −7.38721 | − | 12.7950i | −0.605184 | − | 1.04821i | −0.992022 | − | 0.126062i | \(-0.959766\pi\) |
0.386838 | − | 0.922148i | \(-0.373567\pi\) | |||||||
\(150\) | 21.6810 | + | 0.154704i | 1.77025 | + | 0.0126315i | ||||
\(151\) | 3.18729 | + | 1.84018i | 0.259378 | + | 0.149752i | 0.624051 | − | 0.781384i | \(-0.285486\pi\) |
−0.364673 | + | 0.931136i | \(0.618819\pi\) | |||||||
\(152\) | 3.19031 | − | 5.61106i | 0.258769 | − | 0.455117i | ||||
\(153\) | −0.405292 | − | 0.501745i | −0.0327659 | − | 0.0405637i | ||||
\(154\) | 8.36341 | − | 5.11910i | 0.673943 | − | 0.412509i | ||||
\(155\) | 18.3158i | 1.47116i | ||||||||
\(156\) | −4.28918 | + | 11.6059i | −0.343409 | + | 0.929219i | ||||
\(157\) | 18.5989 | + | 10.7381i | 1.48436 | + | 0.856993i | 0.999842 | − | 0.0177905i | \(-0.00566318\pi\) |
0.484514 | + | 0.874784i | \(0.338997\pi\) | |||||||
\(158\) | 5.39010 | − | 14.9113i | 0.428813 | − | 1.18628i | ||||
\(159\) | −2.79522 | − | 2.39030i | −0.221676 | − | 0.189563i | ||||
\(160\) | 16.2759 | + | 13.3545i | 1.28672 | + | 1.05577i | ||||
\(161\) | −9.65222 | − | 7.72074i | −0.760701 | − | 0.608480i | ||||
\(162\) | −12.7201 | − | 0.447256i | −0.999382 | − | 0.0351397i | ||||
\(163\) | −0.756294 | − | 1.30994i | −0.0592375 | − | 0.102602i | 0.834886 | − | 0.550423i | \(-0.185534\pi\) |
−0.894123 | + | 0.447821i | \(0.852200\pi\) | |||||||
\(164\) | 1.79263 | + | 0.307955i | 0.139981 | + | 0.0240472i | ||||
\(165\) | 16.6089 | + | 3.08877i | 1.29300 | + | 0.240460i | ||||
\(166\) | 1.58530 | + | 1.88086i | 0.123043 | + | 0.145983i | ||||
\(167\) | 7.21687 | 0.558459 | 0.279229 | − | 0.960224i | \(-0.409921\pi\) | ||||
0.279229 | + | 0.960224i | \(0.409921\pi\) | |||||||
\(168\) | −9.75429 | + | 8.53545i | −0.752560 | + | 0.658524i | ||||
\(169\) | 0.242090 | 0.0186223 | ||||||||
\(170\) | −0.729286 | − | 0.865253i | −0.0559337 | − | 0.0663619i | ||||
\(171\) | 1.06272 | + | 6.76317i | 0.0812680 | + | 0.517193i | ||||
\(172\) | 1.26488 | − | 7.36296i | 0.0964462 | − | 0.561420i | ||||
\(173\) | 1.33696 | + | 2.31567i | 0.101647 | + | 0.176057i | 0.912363 | − | 0.409382i | \(-0.134256\pi\) |
−0.810716 | + | 0.585439i | \(0.800922\pi\) | |||||||
\(174\) | −3.11364 | − | 5.48296i | −0.236044 | − | 0.415662i | ||||
\(175\) | −3.52460 | + | 23.1521i | −0.266435 | + | 1.75013i | ||||
\(176\) | 6.80864 | + | 7.97059i | 0.513221 | + | 0.600806i | ||||
\(177\) | 8.82840 | − | 10.3240i | 0.663583 | − | 0.775996i | ||||
\(178\) | −8.58763 | + | 23.7569i | −0.643670 | + | 1.78066i | ||||
\(179\) | −7.29346 | − | 4.21088i | −0.545139 | − | 0.314736i | 0.202020 | − | 0.979381i | \(-0.435249\pi\) |
−0.747159 | + | 0.664645i | \(0.768583\pi\) | |||||||
\(180\) | −22.3283 | − | 0.318660i | −1.66425 | − | 0.0237515i | ||||
\(181\) | − | 6.12284i | − | 0.455107i | −0.973766 | − | 0.227553i | \(-0.926927\pi\) | ||
0.973766 | − | 0.227553i | \(-0.0730726\pi\) | |||||||
\(182\) | −11.7416 | − | 6.38314i | −0.870349 | − | 0.473150i | ||||
\(183\) | −0.200806 | − | 0.568160i | −0.0148440 | − | 0.0419996i | ||||
\(184\) | 6.53108 | − | 11.4867i | 0.481478 | − | 0.846814i | ||||
\(185\) | 27.2099 | + | 15.7096i | 2.00051 | + | 1.15500i | ||||
\(186\) | 0.0860129 | − | 12.0543i | 0.00630677 | − | 0.883867i | ||||
\(187\) | −0.281718 | − | 0.487951i | −0.0206013 | − | 0.0356825i | ||||
\(188\) | −2.20182 | + | 0.812396i | −0.160584 | + | 0.0592500i | ||||
\(189\) | 2.44892 | − | 13.5279i | 0.178133 | − | 0.984006i | ||||
\(190\) | 2.11177 | + | 11.8242i | 0.153204 | + | 0.857815i | ||||
\(191\) | 7.56478 | + | 13.1026i | 0.547368 | + | 0.948069i | 0.998454 | + | 0.0555887i | \(0.0177036\pi\) |
−0.451086 | + | 0.892481i | \(0.648963\pi\) | |||||||
\(192\) | −10.6491 | − | 8.86554i | −0.768529 | − | 0.639815i | ||||
\(193\) | −1.52962 | + | 2.64937i | −0.110104 | + | 0.190706i | −0.915812 | − | 0.401607i | \(-0.868452\pi\) |
0.805708 | + | 0.592313i | \(0.201785\pi\) | |||||||
\(194\) | 9.60833 | − | 8.09847i | 0.689838 | − | 0.581436i | ||||
\(195\) | −7.67263 | − | 21.7089i | −0.549448 | − | 1.55461i | ||||
\(196\) | −7.61268 | − | 11.7493i | −0.543763 | − | 0.839239i | ||||
\(197\) | −14.5736 | −1.03833 | −0.519163 | − | 0.854675i | \(-0.673756\pi\) | ||||
−0.519163 | + | 0.854675i | \(0.673756\pi\) | |||||||
\(198\) | −10.9164 | − | 2.11083i | −0.775796 | − | 0.150010i | ||||
\(199\) | −15.0386 | − | 8.68255i | −1.06606 | − | 0.615490i | −0.138957 | − | 0.990298i | \(-0.544375\pi\) |
−0.927102 | + | 0.374809i | \(0.877708\pi\) | |||||||
\(200\) | −25.0352 | + | 0.165379i | −1.77026 | + | 0.0116941i | ||||
\(201\) | −13.1305 | − | 11.2283i | −0.926151 | − | 0.791987i | ||||
\(202\) | −3.67354 | − | 20.5687i | −0.258469 | − | 1.44721i | ||||
\(203\) | 6.34345 | − | 2.47881i | 0.445223 | − | 0.173978i | ||||
\(204\) | 0.475907 | + | 0.572880i | 0.0333202 | + | 0.0401096i | ||||
\(205\) | −2.93126 | + | 1.69236i | −0.204728 | + | 0.118200i | ||||
\(206\) | −3.60922 | + | 9.98462i | −0.251467 | + | 0.695661i | ||||
\(207\) | 2.17555 | + | 13.8453i | 0.151211 | + | 0.962314i | ||||
\(208\) | 4.76810 | − | 13.4682i | 0.330608 | − | 0.933850i | ||||
\(209\) | 5.98054i | 0.413683i | ||||||||
\(210\) | 3.80014 | − | 23.8185i | 0.262235 | − | 1.64363i | ||||
\(211\) | −21.2686 | −1.46419 | −0.732097 | − | 0.681201i | \(-0.761458\pi\) | ||||
−0.732097 | + | 0.681201i | \(0.761458\pi\) | |||||||
\(212\) | 3.26527 | + | 2.71547i | 0.224259 | + | 0.186499i | ||||
\(213\) | −3.19239 | + | 17.1661i | −0.218739 | + | 1.17620i | ||||
\(214\) | −6.07296 | + | 16.8003i | −0.415139 | + | 1.14845i | ||||
\(215\) | 6.95114 | + | 12.0397i | 0.474064 | + | 0.821103i | ||||
\(216\) | 14.6936 | + | 0.314577i | 0.999771 | + | 0.0214043i | ||||
\(217\) | 12.8722 | + | 1.95963i | 0.873822 | + | 0.133028i | ||||
\(218\) | 18.0488 | − | 3.22349i | 1.22242 | − | 0.218322i | ||||
\(219\) | 11.7203 | + | 10.0225i | 0.791984 | + | 0.677255i | ||||
\(220\) | −19.2255 | − | 3.30274i | −1.29618 | − | 0.222671i | ||||
\(221\) | −0.383964 | + | 0.665045i | −0.0258282 | + | 0.0447357i | ||||
\(222\) | −17.8341 | − | 10.4669i | −1.19695 | − | 0.702491i | ||||
\(223\) | 6.68788i | 0.447854i | 0.974606 | + | 0.223927i | \(0.0718877\pi\) | ||||
−0.974606 | + | 0.223927i | \(0.928112\pi\) | |||||||
\(224\) | 11.1268 | − | 10.0097i | 0.743440 | − | 0.668803i | ||||
\(225\) | 20.6571 | − | 16.6860i | 1.37714 | − | 1.11240i | ||||
\(226\) | 6.47563 | + | 7.68294i | 0.430753 | + | 0.511062i | ||||
\(227\) | −20.7637 | − | 11.9879i | −1.37813 | − | 0.795666i | −0.386199 | − | 0.922415i | \(-0.626212\pi\) |
−0.991935 | + | 0.126749i | \(0.959546\pi\) | |||||||
\(228\) | −1.33431 | − | 7.79184i | −0.0883668 | − | 0.516027i | ||||
\(229\) | −14.3077 | + | 8.26054i | −0.945478 | + | 0.545872i | −0.891673 | − | 0.452680i | \(-0.850468\pi\) |
−0.0538045 | + | 0.998551i | \(0.517135\pi\) | |||||||
\(230\) | 4.32314 | + | 24.2060i | 0.285059 | + | 1.59609i | ||||
\(231\) | 3.94775 | − | 11.3421i | 0.259743 | − | 0.746255i | ||||
\(232\) | 3.68197 | + | 6.28117i | 0.241733 | + | 0.412379i | ||||
\(233\) | −13.4061 | + | 7.74002i | −0.878264 | + | 0.507066i | −0.870086 | − | 0.492901i | \(-0.835937\pi\) |
−0.00817827 | + | 0.999967i | \(0.502603\pi\) | |||||||
\(234\) | 4.94770 | + | 14.3235i | 0.323441 | + | 0.936357i | ||||
\(235\) | 2.18366 | − | 3.78221i | 0.142446 | − | 0.246724i | ||||
\(236\) | −10.0294 | + | 12.0600i | −0.652858 | + | 0.785041i | ||||
\(237\) | −6.47102 | − | 18.3091i | −0.420338 | − | 1.18930i | ||||
\(238\) | −0.686118 | + | 0.419961i | −0.0444744 | + | 0.0272220i | ||||
\(239\) | −20.5460 | −1.32901 | −0.664505 | − | 0.747284i | \(-0.731358\pi\) | ||||
−0.664505 | + | 0.747284i | \(0.731358\pi\) | |||||||
\(240\) | 25.7851 | + | 0.0136545i | 1.66442 | + | 0.000881392i | ||||
\(241\) | −6.16667 | + | 10.6810i | −0.397230 | + | 0.688023i | −0.993383 | − | 0.114848i | \(-0.963362\pi\) |
0.596153 | + | 0.802871i | \(0.296695\pi\) | |||||||
\(242\) | 5.49552 | + | 1.98651i | 0.353266 | + | 0.127698i | ||||
\(243\) | −12.3961 | + | 9.45185i | −0.795208 | + | 0.606337i | ||||
\(244\) | 0.240863 | + | 0.652807i | 0.0154197 | + | 0.0417917i | ||||
\(245\) | 24.8721 | + | 7.75258i | 1.58902 | + | 0.495294i | ||||
\(246\) | 1.93712 | − | 1.10004i | 0.123506 | − | 0.0701361i | ||||
\(247\) | 7.05904 | − | 4.07554i | 0.449156 | − | 0.259320i | ||||
\(248\) | 0.0919482 | + | 13.9192i | 0.00583872 | + | 0.883870i | ||||
\(249\) | 2.96189 | + | 0.550825i | 0.187702 | + | 0.0349071i | ||||
\(250\) | 15.5003 | − | 13.0646i | 0.980325 | − | 0.826275i | ||||
\(251\) | 21.2978i | 1.34430i | 0.740413 | + | 0.672152i | \(0.234630\pi\) | ||||
−0.740413 | + | 0.672152i | \(0.765370\pi\) | |||||||
\(252\) | −2.61287 | + | 15.6580i | −0.164595 | + | 0.986361i | ||||
\(253\) | 12.2431i | 0.769719i | ||||||||
\(254\) | −2.30675 | − | 2.73681i | −0.144738 | − | 0.171723i | ||||
\(255\) | −1.36256 | − | 0.253396i | −0.0853269 | − | 0.0158683i | ||||
\(256\) | 12.4360 | + | 10.0671i | 0.777248 | + | 0.629194i | ||||
\(257\) | −13.2299 | + | 7.63828i | −0.825258 | + | 0.476463i | −0.852226 | − | 0.523173i | \(-0.824748\pi\) |
0.0269684 | + | 0.999636i | \(0.491415\pi\) | |||||||
\(258\) | −4.51827 | − | 7.95644i | −0.281295 | − | 0.495346i | ||||
\(259\) | 13.9518 | − | 17.4421i | 0.866922 | − | 1.08380i | ||||
\(260\) | 9.20319 | + | 24.9432i | 0.570758 | + | 1.54691i | ||||
\(261\) | −7.20615 | − | 2.77628i | −0.446049 | − | 0.171848i | ||||
\(262\) | 2.80246 | − | 7.75278i | 0.173137 | − | 0.478968i | ||||
\(263\) | 0.249921 | − | 0.432876i | 0.0154108 | − | 0.0266923i | −0.858217 | − | 0.513287i | \(-0.828428\pi\) |
0.873628 | + | 0.486594i | \(0.161761\pi\) | |||||||
\(264\) | 12.6375 | + | 2.26394i | 0.777784 | + | 0.139336i | ||||
\(265\) | −7.90287 | −0.485470 | ||||||||
\(266\) | 8.53584 | − | 0.219059i | 0.523366 | − | 0.0134314i | ||||
\(267\) | 10.3098 | + | 29.1705i | 0.630948 | + | 1.78521i | ||||
\(268\) | 15.3385 | + | 12.7558i | 0.936946 | + | 0.779186i | ||||
\(269\) | 10.9207 | − | 18.9153i | 0.665849 | − | 1.15328i | −0.313205 | − | 0.949685i | \(-0.601403\pi\) |
0.979054 | − | 0.203599i | \(-0.0652638\pi\) | |||||||
\(270\) | −21.3974 | + | 17.0332i | −1.30221 | + | 1.03661i | ||||
\(271\) | −13.6308 | + | 7.86975i | −0.828013 | + | 0.478053i | −0.853172 | − | 0.521630i | \(-0.825324\pi\) |
0.0251590 | + | 0.999683i | \(0.491991\pi\) | |||||||
\(272\) | −0.558568 | − | 0.653892i | −0.0338681 | − | 0.0396480i | ||||
\(273\) | −16.0777 | + | 3.06959i | −0.973069 | + | 0.185780i | ||||
\(274\) | 13.1041 | − | 2.34037i | 0.791649 | − | 0.141387i | ||||
\(275\) | 20.0891 | − | 11.5985i | 1.21142 | − | 0.699414i | ||||
\(276\) | −2.73155 | − | 15.9511i | −0.164420 | − | 0.960146i | ||||
\(277\) | −10.8672 | − | 6.27417i | −0.652945 | − | 0.376978i | 0.136639 | − | 0.990621i | \(-0.456370\pi\) |
−0.789584 | + | 0.613643i | \(0.789703\pi\) | |||||||
\(278\) | 8.15258 | − | 6.87148i | 0.488959 | − | 0.412124i | ||||
\(279\) | −9.27718 | − | 11.4850i | −0.555411 | − | 0.687590i | ||||
\(280\) | −4.00970 | + | 27.5609i | −0.239625 | + | 1.64708i | ||||
\(281\) | − | 22.7512i | − | 1.35722i | −0.734498 | − | 0.678610i | \(-0.762582\pi\) | ||
0.734498 | − | 0.678610i | \(-0.237418\pi\) | |||||||
\(282\) | −1.45491 | + | 2.47896i | −0.0866386 | + | 0.147620i | ||||
\(283\) | 0.440379 | − | 0.762759i | 0.0261778 | − | 0.0453413i | −0.852640 | − | 0.522499i | \(-0.825000\pi\) |
0.878818 | + | 0.477158i | \(0.158333\pi\) | |||||||
\(284\) | 3.41354 | − | 19.8705i | 0.202556 | − | 1.17909i | ||||
\(285\) | 11.1803 | + | 9.56068i | 0.662263 | + | 0.566326i | ||||
\(286\) | 2.32744 | + | 13.0317i | 0.137624 | + | 0.770581i | ||||
\(287\) | 0.875758 | + | 2.24113i | 0.0516944 | + | 0.132289i | ||||
\(288\) | −16.9701 | − | 0.130076i | −0.999971 | − | 0.00766478i | ||||
\(289\) | −8.47689 | − | 14.6824i | −0.498640 | − | 0.863671i | ||||
\(290\) | −12.7418 | − | 4.60588i | −0.748223 | − | 0.270466i | ||||
\(291\) | 2.81388 | − | 15.1308i | 0.164952 | − | 0.886981i | ||||
\(292\) | −13.6912 | − | 11.3859i | −0.801215 | − | 0.666309i | ||||
\(293\) | 22.1280 | 1.29273 | 0.646366 | − | 0.763028i | \(-0.276288\pi\) | ||||
0.646366 | + | 0.763028i | \(0.276288\pi\) | |||||||
\(294\) | −16.3328 | − | 5.21906i | −0.952550 | − | 0.304382i | ||||
\(295\) | − | 29.1887i | − | 1.69943i | ||||||
\(296\) | 20.7571 | + | 11.8020i | 1.20648 | + | 0.685978i | ||||
\(297\) | −11.9792 | + | 6.47577i | −0.695101 | + | 0.375762i | ||||
\(298\) | 19.6498 | + | 7.10298i | 1.13828 | + | 0.411465i | ||||
\(299\) | 14.4510 | − | 8.34329i | 0.835723 | − | 0.482505i | ||||
\(300\) | −23.5857 | + | 19.5933i | −1.36172 | + | 1.13122i | ||||
\(301\) | 9.20511 | − | 3.59705i | 0.530574 | − | 0.207331i | ||||
\(302\) | −5.12375 | + | 0.915093i | −0.294839 | + | 0.0526577i | ||||
\(303\) | −19.4487 | − | 16.6313i | −1.11730 | − | 0.955442i | ||||
\(304\) | 1.66421 | + | 8.97522i | 0.0954490 | + | 0.514764i | ||||
\(305\) | −1.12137 | − | 0.647422i | −0.0642094 | − | 0.0370713i | ||||
\(306\) | 0.895562 | + | 0.173168i | 0.0511959 | + | 0.00989937i | ||||
\(307\) | 9.96754 | 0.568878 | 0.284439 | − | 0.958694i | \(-0.408193\pi\) | ||||
0.284439 | + | 0.958694i | \(0.408193\pi\) | |||||||
\(308\) | −4.37808 | + | 13.1581i | −0.249464 | + | 0.749754i | ||||
\(309\) | 4.33301 | + | 12.2598i | 0.246496 | + | 0.697438i | ||||
\(310\) | −16.6935 | − | 19.8058i | −0.948125 | − | 1.12489i | ||||
\(311\) | 5.87187 | − | 10.1704i | 0.332963 | − | 0.576709i | −0.650128 | − | 0.759825i | \(-0.725285\pi\) |
0.983091 | + | 0.183115i | \(0.0586181\pi\) | |||||||
\(312\) | −5.93983 | − | 16.4593i | −0.336277 | − | 0.931824i | ||||
\(313\) | −0.343520 | − | 0.594993i | −0.0194169 | − | 0.0336310i | 0.856154 | − | 0.516721i | \(-0.172848\pi\) |
−0.875571 | + | 0.483090i | \(0.839514\pi\) | |||||||
\(314\) | −29.8988 | + | 5.33988i | −1.68729 | + | 0.301347i | ||||
\(315\) | −14.8924 | − | 25.5119i | −0.839093 | − | 1.43743i | ||||
\(316\) | 7.76188 | + | 21.0369i | 0.436640 | + | 1.18342i | ||||
\(317\) | 16.4535 | + | 28.4983i | 0.924120 | + | 1.60062i | 0.792970 | + | 0.609261i | \(0.208534\pi\) |
0.131150 | + | 0.991363i | \(0.458133\pi\) | |||||||
\(318\) | 5.20118 | + | 0.0371126i | 0.291667 | + | 0.00208117i | ||||
\(319\) | −5.84224 | − | 3.37302i | −0.327103 | − | 0.188853i | ||||
\(320\) | −29.7715 | + | 0.393349i | −1.66428 | + | 0.0219889i | ||||
\(321\) | 7.29082 | + | 20.6287i | 0.406934 | + | 1.15138i | ||||
\(322\) | 17.4742 | − | 0.448448i | 0.973802 | − | 0.0249911i | ||||
\(323\) | − | 0.490632i | − | 0.0272995i | ||||||
\(324\) | 14.1624 | − | 11.1097i | 0.786802 | − | 0.617206i | ||||
\(325\) | −27.3802 | − | 15.8079i | −1.51878 | − | 0.876867i | ||||
\(326\) | 2.01172 | + | 0.727195i | 0.111419 | + | 0.0402756i | ||||
\(327\) | 14.5938 | − | 17.0660i | 0.807037 | − | 0.943751i | ||||
\(328\) | −2.21913 | + | 1.30083i | −0.122531 | + | 0.0718265i | ||||
\(329\) | −2.42447 | − | 1.93932i | −0.133665 | − | 0.106918i | ||||
\(330\) | −20.7751 | + | 11.7977i | −1.14363 | + | 0.649441i | ||||
\(331\) | −0.833276 | − | 1.44328i | −0.0458010 | − | 0.0793297i | 0.842216 | − | 0.539140i | \(-0.181251\pi\) |
−0.888017 | + | 0.459810i | \(0.847917\pi\) | |||||||
\(332\) | −3.42852 | − | 0.588984i | −0.188164 | − | 0.0323247i | ||||
\(333\) | −25.0192 | + | 3.93134i | −1.37104 | + | 0.215436i | ||||
\(334\) | −7.80394 | + | 6.57762i | −0.427013 | + | 0.359911i | ||||
\(335\) | −37.1235 | −2.02827 | ||||||||
\(336\) | 2.76836 | − | 18.1200i | 0.151027 | − | 0.988530i | ||||
\(337\) | 9.04814 | 0.492884 | 0.246442 | − | 0.969158i | \(-0.420739\pi\) | ||||
0.246442 | + | 0.969158i | \(0.420739\pi\) | |||||||
\(338\) | −0.261783 | + | 0.220646i | −0.0142391 | + | 0.0120016i | ||||
\(339\) | 12.0987 | + | 2.25001i | 0.657113 | + | 0.122204i | ||||
\(340\) | 1.57722 | + | 0.270950i | 0.0855368 | + | 0.0146944i | ||||
\(341\) | −6.44858 | − | 11.1693i | −0.349210 | − | 0.604849i | ||||
\(342\) | −7.31327 | − | 6.34474i | −0.395456 | − | 0.343085i | ||||
\(343\) | 8.10952 | − | 16.6504i | 0.437873 | − | 0.899037i | ||||
\(344\) | 5.34299 | + | 9.11475i | 0.288075 | + | 0.491434i | ||||
\(345\) | 22.8878 | + | 19.5722i | 1.23224 | + | 1.05373i | ||||
\(346\) | −3.55627 | − | 1.28551i | −0.191186 | − | 0.0691097i | ||||
\(347\) | 4.59168 | + | 2.65101i | 0.246494 | + | 0.142313i | 0.618158 | − | 0.786054i | \(-0.287879\pi\) |
−0.371664 | + | 0.928367i | \(0.621213\pi\) | |||||||
\(348\) | 8.36421 | + | 3.09114i | 0.448369 | + | 0.165702i | ||||
\(349\) | 10.7938i | 0.577779i | 0.957362 | + | 0.288890i | \(0.0932861\pi\) | ||||
−0.957362 | + | 0.288890i | \(0.906714\pi\) | |||||||
\(350\) | −17.2900 | − | 28.2478i | −0.924188 | − | 1.50991i | ||||
\(351\) | 15.8070 | + | 9.72640i | 0.843714 | + | 0.519157i | ||||
\(352\) | −14.6271 | − | 2.41342i | −0.779625 | − | 0.128636i | ||||
\(353\) | 24.5717 | + | 14.1865i | 1.30782 | + | 0.755071i | 0.981732 | − | 0.190268i | \(-0.0609357\pi\) |
0.326089 | + | 0.945339i | \(0.394269\pi\) | |||||||
\(354\) | −0.137073 | + | 19.2102i | −0.00728533 | + | 1.02101i | ||||
\(355\) | 18.7591 | + | 32.4917i | 0.995628 | + | 1.72448i | ||||
\(356\) | −12.3664 | − | 33.5164i | −0.655418 | − | 1.77637i | ||||
\(357\) | −0.323866 | + | 0.930483i | −0.0171408 | + | 0.0492464i | ||||
\(358\) | 11.7247 | − | 2.09400i | 0.619667 | − | 0.110671i | ||||
\(359\) | −0.0586851 | − | 0.101646i | −0.00309728 | − | 0.00536465i | 0.864473 | − | 0.502680i | \(-0.167653\pi\) |
−0.867570 | + | 0.497315i | \(0.834319\pi\) | |||||||
\(360\) | 24.4350 | − | 20.0059i | 1.28784 | − | 1.05440i | ||||
\(361\) | 6.89612 | − | 11.9444i | 0.362954 | − | 0.628654i | ||||
\(362\) | 5.58049 | + | 6.62091i | 0.293304 | + | 0.347987i | ||||
\(363\) | 6.74780 | − | 2.38489i | 0.354168 | − | 0.125174i | ||||
\(364\) | 18.5145 | − | 3.79922i | 0.970424 | − | 0.199133i | ||||
\(365\) | 33.1365 | 1.73444 | ||||||||
\(366\) | 0.734974 | + | 0.431359i | 0.0384177 | + | 0.0225475i | ||||
\(367\) | 7.31080 | + | 4.22089i | 0.381621 | + | 0.220329i | 0.678523 | − | 0.734579i | \(-0.262620\pi\) |
−0.296902 | + | 0.954908i | \(0.595954\pi\) | |||||||
\(368\) | 3.40691 | + | 18.3737i | 0.177597 | + | 0.957796i | ||||
\(369\) | 0.980855 | − | 2.54592i | 0.0510613 | − | 0.132535i | ||||
\(370\) | −43.7414 | + | 7.81215i | −2.27401 | + | 0.406134i | ||||
\(371\) | −0.845534 | + | 5.55406i | −0.0438980 | + | 0.288353i | ||||
\(372\) | 10.8936 | + | 13.1133i | 0.564806 | + | 0.679893i | ||||
\(373\) | 0.0783826 | − | 0.0452542i | 0.00405850 | − | 0.00234318i | −0.497969 | − | 0.867195i | \(-0.665921\pi\) |
0.502028 | + | 0.864851i | \(0.332587\pi\) | |||||||
\(374\) | 0.749364 | + | 0.270879i | 0.0387487 | + | 0.0140068i | ||||
\(375\) | 4.53939 | − | 24.4092i | 0.234413 | − | 1.26048i | ||||
\(376\) | 1.64049 | − | 2.88527i | 0.0846020 | − | 0.148796i | ||||
\(377\) | 9.19441i | 0.473536i | ||||||||
\(378\) | 9.68145 | + | 16.8603i | 0.497960 | + | 0.867200i | ||||
\(379\) | −19.7881 | −1.01645 | −0.508224 | − | 0.861225i | \(-0.669698\pi\) | ||||
−0.508224 | + | 0.861225i | \(0.669698\pi\) | |||||||
\(380\) | −13.0604 | − | 10.8613i | −0.669982 | − | 0.557172i | ||||
\(381\) | −4.30981 | − | 0.801498i | −0.220798 | − | 0.0410620i | ||||
\(382\) | −20.1221 | − | 7.27372i | −1.02954 | − | 0.372156i | ||||
\(383\) | −12.4851 | − | 21.6249i | −0.637961 | − | 1.10498i | −0.985880 | − | 0.167456i | \(-0.946445\pi\) |
0.347919 | − | 0.937525i | \(-0.386888\pi\) | |||||||
\(384\) | 19.5956 | − | 0.119068i | 0.999982 | − | 0.00607617i | ||||
\(385\) | −9.39230 | − | 24.0355i | −0.478676 | − | 1.22496i | ||||
\(386\) | −0.760653 | − | 4.25902i | −0.0387162 | − | 0.216778i | ||||
\(387\) | −10.4570 | − | 4.02872i | −0.531559 | − | 0.204792i | ||||
\(388\) | −3.00881 | + | 17.5145i | −0.152749 | + | 0.889164i | ||||
\(389\) | 15.0483 | − | 26.0644i | 0.762979 | − | 1.32152i | −0.178329 | − | 0.983971i | \(-0.557069\pi\) |
0.941308 | − | 0.337548i | \(-0.109597\pi\) | |||||||
\(390\) | 28.0828 | + | 16.4819i | 1.42203 | + | 0.834593i | ||||
\(391\) | − | 1.00440i | − | 0.0507948i | ||||||
\(392\) | 18.9406 | + | 5.76674i | 0.956643 | + | 0.291265i | ||||
\(393\) | −3.36446 | − | 9.51942i | −0.169715 | − | 0.480191i | ||||
\(394\) | 15.7591 | − | 13.2827i | 0.793932 | − | 0.669173i | ||||
\(395\) | −36.1364 | − | 20.8634i | −1.81822 | − | 1.04975i | ||||
\(396\) | 13.7283 | − | 7.66693i | 0.689872 | − | 0.385278i | ||||
\(397\) | 4.91661 | − | 2.83861i | 0.246758 | − | 0.142466i | −0.371521 | − | 0.928425i | \(-0.621164\pi\) |
0.618279 | + | 0.785959i | \(0.287830\pi\) | |||||||
\(398\) | 24.1754 | − | 4.31769i | 1.21180 | − | 0.216426i | ||||
\(399\) | 7.91534 | − | 6.83449i | 0.396263 | − | 0.342153i | ||||
\(400\) | 26.9210 | − | 22.9965i | 1.34605 | − | 1.14982i | ||||
\(401\) | −0.897563 | + | 0.518208i | −0.0448222 | + | 0.0258781i | −0.522244 | − | 0.852796i | \(-0.674905\pi\) |
0.477421 | + | 0.878674i | \(0.341572\pi\) | |||||||
\(402\) | 24.4323 | + | 0.174335i | 1.21857 | + | 0.00869505i | ||||
\(403\) | −8.78898 | + | 15.2230i | −0.437810 | + | 0.758310i | ||||
\(404\) | 22.7192 | + | 18.8938i | 1.13032 | + | 0.940000i | ||||
\(405\) | −7.04417 | + | 32.7467i | −0.350028 | + | 1.62720i | ||||
\(406\) | −4.60022 | + | 8.46201i | −0.228305 | + | 0.419962i | ||||
\(407\) | −22.1240 | −1.09664 | ||||||||
\(408\) | −1.03676 | − | 0.185729i | −0.0513271 | − | 0.00919497i | ||||
\(409\) | 1.83983 | − | 3.18669i | 0.0909739 | − | 0.157571i | −0.816947 | − | 0.576712i | \(-0.804335\pi\) |
0.907921 | + | 0.419141i | \(0.137669\pi\) | |||||||
\(410\) | 1.62725 | − | 4.50164i | 0.0803640 | − | 0.222320i | ||||
\(411\) | 10.5956 | − | 12.3906i | 0.522644 | − | 0.611181i | ||||
\(412\) | −5.19738 | − | 14.0864i | −0.256056 | − | 0.693985i | ||||
\(413\) | −20.5135 | − | 3.12292i | −1.00940 | − | 0.153669i | ||||
\(414\) | −14.9714 | − | 12.9887i | −0.735806 | − | 0.638360i | ||||
\(415\) | 5.60623 | − | 3.23676i | 0.275199 | − | 0.158886i | ||||
\(416\) | 7.11922 | + | 18.9095i | 0.349049 | + | 0.927115i | ||||
\(417\) | 2.38755 | − | 12.8383i | 0.116919 | − | 0.628695i | ||||
\(418\) | −5.45080 | − | 6.46703i | −0.266607 | − | 0.316313i | ||||
\(419\) | 9.81445i | 0.479467i | 0.970839 | + | 0.239734i | \(0.0770601\pi\) | ||||
−0.970839 | + | 0.239734i | \(0.922940\pi\) | |||||||
\(420\) | 17.5994 | + | 29.2196i | 0.858765 | + | 1.42577i | ||||
\(421\) | − | 33.0188i | − | 1.60924i | −0.593790 | − | 0.804620i | \(-0.702369\pi\) | ||
0.593790 | − | 0.804620i | \(-0.297631\pi\) | |||||||
\(422\) | 22.9988 | − | 19.3847i | 1.11956 | − | 0.943633i | ||||
\(423\) | 0.546461 | + | 3.47770i | 0.0265698 | + | 0.169091i | ||||
\(424\) | −6.00582 | + | 0.0396736i | −0.291668 | + | 0.00192672i | ||||
\(425\) | −1.64807 | + | 0.951516i | −0.0799433 | + | 0.0461553i | ||||
\(426\) | −12.1935 | − | 21.4721i | −0.590775 | − | 1.04033i | ||||
\(427\) | −0.574978 | + | 0.718819i | −0.0278252 | + | 0.0347861i | ||||
\(428\) | −8.74522 | − | 23.7020i | −0.422716 | − | 1.14568i | ||||
\(429\) | 12.3221 | + | 10.5371i | 0.594916 | + | 0.508735i | ||||
\(430\) | −18.4899 | − | 6.68369i | −0.891660 | − | 0.322316i | ||||
\(431\) | −5.27304 | + | 9.13317i | −0.253993 | + | 0.439929i | −0.964622 | − | 0.263638i | \(-0.915077\pi\) |
0.710628 | + | 0.703568i | \(0.248411\pi\) | |||||||
\(432\) | −16.1756 | + | 13.0519i | −0.778247 | + | 0.627959i | ||||
\(433\) | 13.7135 | 0.659026 | 0.329513 | − | 0.944151i | \(-0.393115\pi\) | ||||
0.329513 | + | 0.944151i | \(0.393115\pi\) | |||||||
\(434\) | −15.7053 | + | 9.61297i | −0.753881 | + | 0.461437i | ||||
\(435\) | −15.6453 | + | 5.52953i | −0.750133 | + | 0.265121i | ||||
\(436\) | −16.5791 | + | 19.9358i | −0.793993 | + | 0.954751i | ||||
\(437\) | −5.33056 | + | 9.23280i | −0.254995 | + | 0.441665i | ||||
\(438\) | −21.8084 | − | 0.155612i | −1.04204 | − | 0.00743543i | ||||
\(439\) | −8.62149 | + | 4.97762i | −0.411481 | + | 0.237569i | −0.691426 | − | 0.722447i | \(-0.743017\pi\) |
0.279945 | + | 0.960016i | \(0.409684\pi\) | |||||||
\(440\) | 23.7996 | − | 13.9511i | 1.13460 | − | 0.665094i | ||||
\(441\) | −19.5229 | + | 7.73671i | −0.929662 | + | 0.368415i | ||||
\(442\) | −0.190939 | − | 1.06910i | −0.00908203 | − | 0.0508517i | ||||
\(443\) | −0.202164 | + | 0.116720i | −0.00960512 | + | 0.00554552i | −0.504795 | − | 0.863239i | \(-0.668432\pi\) |
0.495190 | + | 0.868785i | \(0.335099\pi\) | |||||||
\(444\) | 28.8246 | − | 4.93605i | 1.36795 | − | 0.234255i | ||||
\(445\) | 57.5734 | + | 33.2400i | 2.72924 | + | 1.57573i | ||||
\(446\) | −6.09548 | − | 7.23192i | −0.288630 | − | 0.342441i | ||||
\(447\) | 24.1275 | − | 8.52740i | 1.14119 | − | 0.403332i | ||||
\(448\) | −2.90883 | + | 20.9652i | −0.137429 | + | 0.990512i | ||||
\(449\) | 5.83932i | 0.275575i | 0.990462 | + | 0.137787i | \(0.0439990\pi\) | ||||
−0.990462 | + | 0.137787i | \(0.956001\pi\) | |||||||
\(450\) | −7.12941 | + | 36.8707i | −0.336084 | + | 1.73810i | ||||
\(451\) | 1.19168 | − | 2.06405i | 0.0561141 | − | 0.0971924i | ||||
\(452\) | −14.0048 | − | 2.40588i | −0.658731 | − | 0.113163i | ||||
\(453\) | −4.14292 | + | 4.84475i | −0.194651 | + | 0.227626i | ||||
\(454\) | 33.3788 | − | 5.96139i | 1.56654 | − | 0.279782i | ||||
\(455\) | −21.9695 | + | 27.4655i | −1.02994 | + | 1.28760i | ||||
\(456\) | 8.54450 | + | 7.20955i | 0.400133 | + | 0.337618i | ||||
\(457\) | 8.93416 | + | 15.4744i | 0.417923 | + | 0.723863i | 0.995730 | − | 0.0923098i | \(-0.0294250\pi\) |
−0.577808 | + | 0.816173i | \(0.696092\pi\) | |||||||
\(458\) | 7.94271 | − | 21.9728i | 0.371138 | − | 1.02672i | ||||
\(459\) | 0.982747 | − | 0.531260i | 0.0458707 | − | 0.0247971i | ||||
\(460\) | −26.7367 | − | 22.2348i | −1.24660 | − | 1.03670i | ||||
\(461\) | −0.400330 | −0.0186452 | −0.00932262 | − | 0.999957i | \(-0.502968\pi\) | ||||
−0.00932262 | + | 0.999957i | \(0.502968\pi\) | |||||||
\(462\) | 6.06855 | + | 15.8628i | 0.282334 | + | 0.738004i | ||||
\(463\) | 29.4293i | 1.36769i | 0.729626 | + | 0.683847i | \(0.239694\pi\) | ||||
−0.729626 | + | 0.683847i | \(0.760306\pi\) | |||||||
\(464\) | −9.70629 | − | 3.43629i | −0.450603 | − | 0.159526i | ||||
\(465\) | −31.1892 | − | 5.80028i | −1.44637 | − | 0.268982i | ||||
\(466\) | 7.44222 | − | 20.5883i | 0.344754 | − | 0.953734i | ||||
\(467\) | −6.75074 | + | 3.89754i | −0.312387 | + | 0.180357i | −0.647994 | − | 0.761645i | \(-0.724392\pi\) |
0.335607 | + | 0.942002i | \(0.391059\pi\) | |||||||
\(468\) | −18.4049 | − | 10.9792i | −0.850768 | − | 0.507515i | ||||
\(469\) | −3.97187 | + | 26.0900i | −0.183404 | + | 1.20472i | ||||
\(470\) | 1.08590 | + | 6.08011i | 0.0500887 | + | 0.280455i | ||||
\(471\) | −24.1753 | + | 28.2707i | −1.11394 | + | 1.30265i | ||||
\(472\) | −0.146531 | − | 22.1821i | −0.00674466 | − | 1.02101i | ||||
\(473\) | −8.47781 | − | 4.89466i | −0.389810 | − | 0.225057i | ||||
\(474\) | 23.6847 | + | 13.9007i | 1.08788 | + | 0.638479i | ||||
\(475\) | 20.1995 | 0.926818 | ||||||||
\(476\) | 0.359169 | − | 1.07947i | 0.0164625 | − | 0.0494773i | ||||
\(477\) | 4.95553 | − | 4.00290i | 0.226898 | − | 0.183280i | ||||
\(478\) | 22.2173 | − | 18.7261i | 1.01620 | − | 0.856511i | ||||
\(479\) | −19.3422 | + | 33.5016i | −0.883765 | + | 1.53073i | −0.0366434 | + | 0.999328i | \(0.511667\pi\) |
−0.847122 | + | 0.531398i | \(0.821667\pi\) | |||||||
\(480\) | −27.8950 | + | 23.4863i | −1.27323 | + | 1.07200i | ||||
\(481\) | 15.0768 | + | 26.1137i | 0.687441 | + | 1.19068i | ||||
\(482\) | −3.06658 | − | 17.1703i | −0.139679 | − | 0.782085i | ||||
\(483\) | 16.2040 | − | 13.9913i | 0.737306 | − | 0.636627i | ||||
\(484\) | −7.75311 | + | 2.86063i | −0.352414 | + | 0.130029i | ||||
\(485\) | −16.5349 | − | 28.6393i | −0.750811 | − | 1.30044i | ||||
\(486\) | 4.78981 | − | 21.5188i | 0.217270 | − | 0.976111i | ||||
\(487\) | 8.63096 | + | 4.98308i | 0.391106 | + | 0.225805i | 0.682639 | − | 0.730756i | \(-0.260832\pi\) |
−0.291533 | + | 0.956561i | \(0.594165\pi\) | |||||||
\(488\) | −0.855439 | − | 0.486382i | −0.0387239 | − | 0.0220175i | ||||
\(489\) | 2.47014 | − | 0.873026i | 0.111704 | − | 0.0394796i | ||||
\(490\) | −33.9612 | + | 14.2857i | −1.53421 | + | 0.645364i | ||||
\(491\) | − | 15.5075i | − | 0.699845i | −0.936779 | − | 0.349923i | \(-0.886208\pi\) | ||
0.936779 | − | 0.349923i | \(-0.113792\pi\) | |||||||
\(492\) | −1.09209 | + | 2.95506i | −0.0492353 | + | 0.133224i | ||||
\(493\) | 0.479286 | + | 0.276716i | 0.0215860 | + | 0.0124627i | ||||
\(494\) | −3.91873 | + | 10.8408i | −0.176312 | + | 0.487752i | ||||
\(495\) | −10.5194 | + | 27.3044i | −0.472813 | + | 1.22724i | ||||
\(496\) | −12.7857 | − | 14.9677i | −0.574095 | − | 0.672068i | ||||
\(497\) | 24.8419 | − | 9.70739i | 1.11431 | − | 0.435436i | ||||
\(498\) | −3.70487 | + | 2.10390i | −0.166019 | + | 0.0942781i | ||||
\(499\) | −0.275544 | − | 0.477256i | −0.0123350 | − | 0.0213649i | 0.859792 | − | 0.510644i | \(-0.170593\pi\) |
−0.872127 | + | 0.489279i | \(0.837260\pi\) | |||||||
\(500\) | −4.85385 | + | 28.2546i | −0.217071 | + | 1.26359i | ||||
\(501\) | −2.28545 | + | 12.2893i | −0.102106 | + | 0.549045i | ||||
\(502\) | −19.4113 | − | 23.0303i | −0.866368 | − | 1.02789i | ||||
\(503\) | 32.2097 | 1.43616 | 0.718079 | − | 0.695962i | \(-0.245022\pi\) | ||||
0.718079 | + | 0.695962i | \(0.245022\pi\) | |||||||
\(504\) | −11.4456 | − | 19.3131i | −0.509829 | − | 0.860276i | ||||
\(505\) | −54.9868 | −2.44688 | ||||||||
\(506\) | −11.1587 | − | 13.2391i | −0.496063 | − | 0.588548i | ||||
\(507\) | −0.0766652 | + | 0.412243i | −0.00340482 | + | 0.0183084i | ||||
\(508\) | 4.98879 | + | 0.857022i | 0.221342 | + | 0.0380242i | ||||
\(509\) | −0.906135 | − | 1.56947i | −0.0401637 | − | 0.0695656i | 0.845245 | − | 0.534379i | \(-0.179455\pi\) |
−0.885408 | + | 0.464814i | \(0.846121\pi\) | |||||||
\(510\) | 1.70435 | − | 0.967859i | 0.0754699 | − | 0.0428575i | ||||
\(511\) | 3.54530 | − | 23.2880i | 0.156835 | − | 1.03020i | ||||
\(512\) | −22.6230 | + | 0.448384i | −0.999804 | + | 0.0198160i | ||||
\(513\) | −11.8532 | − | 0.332116i | −0.523333 | − | 0.0146633i | ||||
\(514\) | 7.34439 | − | 20.3176i | 0.323947 | − | 0.896173i | ||||
\(515\) | 24.1970 | + | 13.9702i | 1.06625 | + | 0.615599i | ||||
\(516\) | 12.1375 | + | 4.48562i | 0.534323 | + | 0.197468i | ||||
\(517\) | 3.07526i | 0.135250i | ||||||||
\(518\) | 0.810370 | + | 31.5769i | 0.0356056 | + | 1.38741i | ||||
\(519\) | −4.36664 | + | 1.54331i | −0.191674 | + | 0.0677438i | ||||
\(520\) | −32.6857 | − | 18.5843i | −1.43336 | − | 0.814974i | ||||
\(521\) | 6.65560 | + | 3.84261i | 0.291587 | + | 0.168348i | 0.638657 | − | 0.769491i | \(-0.279490\pi\) |
−0.347070 | + | 0.937839i | \(0.612823\pi\) | |||||||
\(522\) | 10.3227 | − | 3.56572i | 0.451813 | − | 0.156067i | ||||
\(523\) | −4.33611 | − | 7.51035i | −0.189605 | − | 0.328405i | 0.755514 | − | 0.655133i | \(-0.227387\pi\) |
−0.945118 | + | 0.326728i | \(0.894054\pi\) | |||||||
\(524\) | 4.03562 | + | 10.9377i | 0.176297 | + | 0.477814i | ||||
\(525\) | −38.3084 | − | 13.3337i | −1.67192 | − | 0.581930i | ||||
\(526\) | 0.124281 | + | 0.695872i | 0.00541893 | + | 0.0303415i | ||||
\(527\) | 0.529029 | + | 0.916305i | 0.0230449 | + | 0.0399149i | ||||
\(528\) | −15.7289 | + | 9.06999i | −0.684513 | + | 0.394721i | ||||
\(529\) | 0.587489 | − | 1.01756i | 0.0255430 | − | 0.0442417i | ||||
\(530\) | 8.54574 | − | 7.20285i | 0.371203 | − | 0.312872i | ||||
\(531\) | 14.7844 | + | 18.3029i | 0.641588 | + | 0.794277i | ||||
\(532\) | −9.03055 | + | 8.01664i | −0.391524 | + | 0.347565i | ||||
\(533\) | −3.24837 | −0.140702 | ||||||||
\(534\) | −37.7351 | − | 22.1469i | −1.63296 | − | 0.958388i | ||||
\(535\) | 40.7145 | + | 23.5065i | 1.76024 | + | 1.01627i | ||||
\(536\) | −28.2121 | + | 0.186365i | −1.21858 | + | 0.00804975i | ||||
\(537\) | 9.48022 | − | 11.0862i | 0.409102 | − | 0.478405i | ||||
\(538\) | 5.43070 | + | 30.4074i | 0.234134 | + | 1.31095i | ||||
\(539\) | −17.8968 | + | 4.02924i | −0.770871 | + | 0.173551i | ||||
\(540\) | 7.61357 | − | 37.9209i | 0.327636 | − | 1.63185i | ||||
\(541\) | 10.0751 | − | 5.81687i | 0.433163 | − | 0.250087i | −0.267530 | − | 0.963549i | \(-0.586208\pi\) |
0.700693 | + | 0.713463i | \(0.252874\pi\) | |||||||
\(542\) | 7.56696 | − | 20.9334i | 0.325029 | − | 0.899164i | ||||
\(543\) | 10.4263 | + | 1.93899i | 0.447435 | + | 0.0832098i | ||||
\(544\) | 1.19998 | + | 0.197992i | 0.0514486 | + | 0.00848884i | ||||
\(545\) | − | 48.2503i | − | 2.06681i | ||||||
\(546\) | 14.5879 | − | 17.9729i | 0.624305 | − | 0.769169i | ||||
\(547\) | −27.7574 | −1.18682 | −0.593410 | − | 0.804900i | \(-0.702219\pi\) | ||||
−0.593410 | + | 0.804900i | \(0.702219\pi\) | |||||||
\(548\) | −12.0370 | + | 14.4741i | −0.514196 | + | 0.618305i | ||||
\(549\) | 1.03109 | − | 0.162017i | 0.0440056 | − | 0.00691473i | ||||
\(550\) | −11.1522 | + | 30.8516i | −0.475532 | + | 1.31552i | ||||
\(551\) | −2.93717 | − | 5.08733i | −0.125128 | − | 0.216728i | ||||
\(552\) | 17.4920 | + | 14.7591i | 0.744508 | + | 0.628190i | ||||
\(553\) | −18.5288 | + | 23.1641i | −0.787926 | + | 0.985039i | ||||
\(554\) | 17.4696 | − | 3.12004i | 0.742212 | − | 0.132558i | ||||
\(555\) | −35.3681 | + | 41.3596i | −1.50129 | + | 1.75562i | ||||
\(556\) | −2.55295 | + | 14.8609i | −0.108269 | + | 0.630242i | ||||
\(557\) | −7.71096 | + | 13.3558i | −0.326724 | + | 0.565902i | −0.981860 | − | 0.189609i | \(-0.939278\pi\) |
0.655136 | + | 0.755511i | \(0.272611\pi\) | |||||||
\(558\) | 20.4995 | + | 3.96385i | 0.867815 | + | 0.167803i | ||||
\(559\) | 13.3422i | 0.564315i | ||||||||
\(560\) | −20.7838 | − | 33.4574i | −0.878275 | − | 1.41383i | ||||
\(561\) | 0.920124 | − | 0.325201i | 0.0388476 | − | 0.0137300i | ||||
\(562\) | 20.7359 | + | 24.6019i | 0.874692 | + | 1.03777i | ||||
\(563\) | 11.5626 | + | 6.67567i | 0.487305 | + | 0.281346i | 0.723456 | − | 0.690371i | \(-0.242553\pi\) |
−0.236151 | + | 0.971716i | \(0.575886\pi\) | |||||||
\(564\) | −0.686117 | − | 4.00665i | −0.0288907 | − | 0.168710i | ||||
\(565\) | 22.9003 | − | 13.2215i | 0.963423 | − | 0.556233i | ||||
\(566\) | 0.218993 | + | 1.22618i | 0.00920497 | + | 0.0515401i | ||||
\(567\) | 22.2604 | + | 8.45417i | 0.934850 | + | 0.355042i | ||||
\(568\) | 14.4192 | + | 24.5980i | 0.605014 | + | 1.03211i | ||||
\(569\) | −39.4279 | + | 22.7637i | −1.65290 | + | 0.954305i | −0.677034 | + | 0.735951i | \(0.736735\pi\) |
−0.975870 | + | 0.218353i | \(0.929931\pi\) | |||||||
\(570\) | −20.8036 | − | 0.148442i | −0.871366 | − | 0.00621757i | ||||
\(571\) | 20.3243 | − | 35.2028i | 0.850546 | − | 1.47319i | −0.0301698 | − | 0.999545i | \(-0.509605\pi\) |
0.880716 | − | 0.473645i | \(-0.157062\pi\) | |||||||
\(572\) | −14.3942 | − | 11.9705i | −0.601850 | − | 0.500512i | ||||
\(573\) | −24.7074 | + | 8.73238i | −1.03217 | + | 0.364800i | ||||
\(574\) | −2.98961 | − | 1.62525i | −0.124784 | − | 0.0678365i | ||||
\(575\) | 41.3517 | 1.72448 | ||||||||
\(576\) | 18.4691 | − | 15.3262i | 0.769545 | − | 0.638593i | ||||
\(577\) | −8.50680 | + | 14.7342i | −0.354143 | + | 0.613393i | −0.986971 | − | 0.160899i | \(-0.948561\pi\) |
0.632828 | + | 0.774292i | \(0.281894\pi\) | |||||||
\(578\) | 22.5483 | + | 8.15073i | 0.937886 | + | 0.339026i | ||||
\(579\) | −4.02710 | − | 3.44372i | −0.167360 | − | 0.143116i | ||||
\(580\) | 17.9762 | − | 6.63259i | 0.746420 | − | 0.275403i | ||||
\(581\) | −1.67495 | − | 4.28630i | −0.0694885 | − | 0.177826i | ||||
\(582\) | 10.7477 | + | 18.9262i | 0.445508 | + | 0.784517i | ||||
\(583\) | 4.81928 | − | 2.78241i | 0.199594 | − | 0.115236i | ||||
\(584\) | 25.1822 | − | 0.166350i | 1.04205 | − | 0.00688362i | ||||
\(585\) | 39.3970 | − | 6.19056i | 1.62886 | − | 0.255948i | ||||
\(586\) | −23.9280 | + | 20.1679i | −0.988458 | + | 0.833130i | ||||
\(587\) | − | 28.5925i | − | 1.18014i | −0.807352 | − | 0.590070i | \(-0.799100\pi\) | ||
0.807352 | − | 0.590070i | \(-0.200900\pi\) | |||||||
\(588\) | 22.4182 | − | 9.24249i | 0.924512 | − | 0.381154i | ||||
\(589\) | − | 11.2306i | − | 0.462750i | ||||||
\(590\) | 26.6032 | + | 31.5631i | 1.09524 | + | 1.29943i | ||||
\(591\) | 4.61518 | − | 24.8167i | 0.189843 | − | 1.02082i | ||||
\(592\) | −33.2023 | + | 6.15646i | −1.36461 | + | 0.253029i | ||||
\(593\) | −4.49943 | + | 2.59775i | −0.184770 | + | 0.106677i | −0.589532 | − | 0.807745i | \(-0.700688\pi\) |
0.404762 | + | 0.914422i | \(0.367354\pi\) | |||||||
\(594\) | 7.05146 | − | 17.9206i | 0.289325 | − | 0.735292i | ||||
\(595\) | 0.770526 | + | 1.97183i | 0.0315885 | + | 0.0808371i | ||||
\(596\) | −27.7221 | + | 10.2285i | −1.13554 | + | 0.418975i | ||||
\(597\) | 19.5476 | − | 22.8590i | 0.800029 | − | 0.935556i | ||||
\(598\) | −8.02227 | + | 22.1929i | −0.328055 | + | 0.907537i | ||||
\(599\) | −22.7140 | + | 39.3418i | −0.928069 | + | 1.60746i | −0.141519 | + | 0.989936i | \(0.545199\pi\) |
−0.786550 | + | 0.617527i | \(0.788135\pi\) | |||||||
\(600\) | 7.64656 | − | 42.6837i | 0.312169 | − | 1.74255i | ||||
\(601\) | 45.5994 | 1.86004 | 0.930019 | − | 0.367511i | \(-0.119790\pi\) | ||||
0.930019 | + | 0.367511i | \(0.119790\pi\) | |||||||
\(602\) | −6.67548 | + | 12.2794i | −0.272072 | + | 0.500471i | ||||
\(603\) | 23.2784 | − | 18.8035i | 0.947970 | − | 0.765736i | ||||
\(604\) | 4.70651 | − | 5.65944i | 0.191505 | − | 0.230279i | ||||
\(605\) | 7.68917 | − | 13.3180i | 0.312609 | − | 0.541455i | ||||
\(606\) | 36.1889 | + | 0.258223i | 1.47007 | + | 0.0104896i | ||||
\(607\) | 18.3382 | − | 10.5876i | 0.744324 | − | 0.429736i | −0.0793155 | − | 0.996850i | \(-0.525273\pi\) |
0.823639 | + | 0.567114i | \(0.191940\pi\) | |||||||
\(608\) | −9.97980 | − | 8.18852i | −0.404734 | − | 0.332088i | ||||
\(609\) | 2.21220 | + | 11.5870i | 0.0896430 | + | 0.469527i | ||||
\(610\) | 1.80266 | − | 0.321952i | 0.0729877 | − | 0.0130355i | ||||
\(611\) | 3.62984 | − | 2.09569i | 0.146848 | − | 0.0847825i | ||||
\(612\) | −1.12624 | + | 0.628980i | −0.0455256 | + | 0.0254250i | ||||
\(613\) | −22.2592 | − | 12.8513i | −0.899039 | − | 0.519060i | −0.0221508 | − | 0.999755i | \(-0.507051\pi\) |
−0.876888 | + | 0.480694i | \(0.840385\pi\) | |||||||
\(614\) | −10.7784 | + | 9.08464i | −0.434979 | + | 0.366626i | ||||
\(615\) | −1.95357 | − | 5.52744i | −0.0787756 | − | 0.222888i | ||||
\(616\) | −7.25838 | − | 18.2188i | −0.292448 | − | 0.734055i | ||||
\(617\) | 16.9888i | 0.683941i | 0.939711 | + | 0.341971i | \(0.111094\pi\) | ||||
−0.939711 | + | 0.341971i | \(0.888906\pi\) | |||||||
\(618\) | −15.8594 | − | 9.30792i | −0.637958 | − | 0.374420i | ||||
\(619\) | −11.6456 | + | 20.1708i | −0.468076 | + | 0.810732i | −0.999334 | − | 0.0364781i | \(-0.988386\pi\) |
0.531258 | + | 0.847210i | \(0.321719\pi\) | |||||||
\(620\) | 36.1028 | + | 6.20210i | 1.44992 | + | 0.249082i | ||||
\(621\) | −24.2655 | − | 0.679895i | −0.973740 | − | 0.0272832i | ||||
\(622\) | 2.91998 | + | 16.3495i | 0.117081 | + | 0.655554i | ||||
\(623\) | 29.5206 | − | 36.9056i | 1.18272 | − | 1.47859i | ||||
\(624\) | 21.4244 | + | 12.3845i | 0.857661 | + | 0.495777i | ||||
\(625\) | −4.54562 | − | 7.87325i | −0.181825 | − | 0.314930i | ||||
\(626\) | 0.913754 | + | 0.330302i | 0.0365209 | + | 0.0132015i | ||||
\(627\) | −10.1840 | − | 1.89392i | −0.406709 | − | 0.0756360i | ||||
\(628\) | 27.4641 | − | 33.0247i | 1.09594 | − | 1.31783i | ||||
\(629\) | 1.81501 | 0.0723691 | ||||||||
\(630\) | 39.3560 | + | 14.0140i | 1.56798 | + | 0.558329i | ||||
\(631\) | − | 15.0554i | − | 0.599347i | −0.954042 | − | 0.299674i | \(-0.903122\pi\) | ||
0.954042 | − | 0.299674i | \(-0.0968778\pi\) | |||||||
\(632\) | −27.5668 | − | 15.6738i | −1.09655 | − | 0.623470i | ||||
\(633\) | 6.73537 | − | 36.2174i | 0.267707 | − | 1.43951i | ||||
\(634\) | −43.7659 | − | 15.8204i | −1.73817 | − | 0.628310i | ||||
\(635\) | −8.15754 | + | 4.70976i | −0.323722 | + | 0.186901i | ||||
\(636\) | −5.65810 | + | 4.70034i | −0.224358 | + | 0.186380i | ||||
\(637\) | 16.9520 | + | 18.3785i | 0.671661 | + | 0.728182i | ||||
\(638\) | 9.39173 | − | 1.67735i | 0.371822 | − | 0.0664068i | ||||
\(639\) | −28.2204 | − | 10.8723i | −1.11638 | − | 0.430103i | ||||
\(640\) | 31.8347 | − | 27.5597i | 1.25838 | − | 1.08939i | ||||
\(641\) | 22.9318 | + | 13.2397i | 0.905752 | + | 0.522936i | 0.879062 | − | 0.476707i | \(-0.158170\pi\) |
0.0266904 | + | 0.999644i | \(0.491503\pi\) | |||||||
\(642\) | −26.6853 | − | 15.6617i | −1.05319 | − | 0.618118i | ||||
\(643\) | −29.9973 | −1.18298 | −0.591490 | − | 0.806312i | \(-0.701460\pi\) | ||||
−0.591490 | + | 0.806312i | \(0.701460\pi\) | |||||||
\(644\) | −18.4870 | + | 16.4113i | −0.728489 | + | 0.646697i | ||||
\(645\) | −22.7032 | + | 8.02403i | −0.893937 | + | 0.315946i | ||||
\(646\) | 0.447173 | + | 0.530543i | 0.0175938 | + | 0.0208739i | ||||
\(647\) | 9.22707 | − | 15.9817i | 0.362753 | − | 0.628307i | −0.625659 | − | 0.780096i | \(-0.715170\pi\) |
0.988413 | + | 0.151789i | \(0.0485034\pi\) | |||||||
\(648\) | −5.18885 | + | 24.9214i | −0.203837 | + | 0.979005i | ||||
\(649\) | 10.2766 | + | 17.7997i | 0.403394 | + | 0.698698i | ||||
\(650\) | 44.0152 | − | 7.86103i | 1.72642 | − | 0.308335i | ||||
\(651\) | −7.41334 | + | 21.2989i | −0.290552 | + | 0.834770i | ||||
\(652\) | −2.83815 | + | 1.04718i | −0.111151 | + | 0.0410107i | ||||
\(653\) | −8.95898 | − | 15.5174i | −0.350592 | − | 0.607243i | 0.635761 | − | 0.771886i | \(-0.280686\pi\) |
−0.986353 | + | 0.164643i | \(0.947353\pi\) | |||||||
\(654\) | −0.226588 | + | 31.7553i | −0.00886028 | + | 1.24173i | ||||
\(655\) | −18.7883 | − | 10.8474i | −0.734121 | − | 0.423845i | ||||
\(656\) | 1.21403 | − | 3.42921i | 0.0474001 | − | 0.133888i | ||||
\(657\) | −20.7784 | + | 16.7840i | −0.810642 | + | 0.654807i | ||||
\(658\) | 4.38923 | − | 0.112642i | 0.171110 | − | 0.00439126i | ||||
\(659\) | − | 30.7250i | − | 1.19687i | −0.801170 | − | 0.598437i | \(-0.795789\pi\) | ||
0.801170 | − | 0.598437i | \(-0.204211\pi\) | |||||||
\(660\) | 11.7124 | − | 31.6923i | 0.455906 | − | 1.23362i | ||||
\(661\) | −13.0311 | − | 7.52352i | −0.506852 | − | 0.292631i | 0.224687 | − | 0.974431i | \(-0.427864\pi\) |
−0.731539 | + | 0.681800i | \(0.761197\pi\) | |||||||
\(662\) | 2.21649 | + | 0.801215i | 0.0861465 | + | 0.0311401i | ||||
\(663\) | −1.01088 | − | 0.864441i | −0.0392593 | − | 0.0335721i | ||||
\(664\) | 4.24423 | − | 2.48793i | 0.164708 | − | 0.0965504i | ||||
\(665\) | 3.38195 | − | 22.2151i | 0.131147 | − | 0.861463i | ||||
\(666\) | 23.4713 | − | 27.0542i | 0.909494 | − | 1.04833i | ||||
\(667\) | −6.01287 | − | 10.4146i | −0.232819 | − | 0.403254i | ||||
\(668\) | 2.44377 | − | 14.2254i | 0.0945524 | − | 0.550396i | ||||
\(669\) | −11.3885 | − | 2.11793i | −0.440304 | − | 0.0818837i | ||||
\(670\) | 40.1433 | − | 33.8352i | 1.55087 | − | 1.30717i | ||||
\(671\) | 0.911768 | 0.0351984 | ||||||||
\(672\) | 13.5215 | + | 22.1172i | 0.521602 | + | 0.853189i | ||||
\(673\) | 20.6079 | 0.794376 | 0.397188 | − | 0.917737i | \(-0.369986\pi\) | ||||
0.397188 | + | 0.917737i | \(0.369986\pi\) | |||||||
\(674\) | −9.78417 | + | 8.24667i | −0.376872 | + | 0.317650i | ||||
\(675\) | 21.8722 | + | 40.4601i | 0.841861 | + | 1.55731i | ||||
\(676\) | 0.0819762 | − | 0.477189i | 0.00315293 | − | 0.0183534i | ||||
\(677\) | 5.13682 | + | 8.89723i | 0.197424 | + | 0.341948i | 0.947692 | − | 0.319185i | \(-0.103409\pi\) |
−0.750268 | + | 0.661133i | \(0.770076\pi\) | |||||||
\(678\) | −15.1336 | + | 8.59402i | −0.581204 | + | 0.330051i | ||||
\(679\) | −21.8965 | + | 8.55642i | −0.840310 | + | 0.328365i | ||||
\(680\) | −1.95247 | + | 1.14452i | −0.0748739 | + | 0.0438905i | ||||
\(681\) | 26.9891 | − | 31.5612i | 1.03423 | − | 1.20943i | ||||
\(682\) | 17.1531 | + | 6.20046i | 0.656824 | + | 0.237428i | ||||
\(683\) | 30.7725 | + | 17.7665i | 1.17748 | + | 0.679817i | 0.955430 | − | 0.295218i | \(-0.0953924\pi\) |
0.222048 | + | 0.975036i | \(0.428726\pi\) | |||||||
\(684\) | 13.6909 | + | 0.195391i | 0.523485 | + | 0.00747096i | ||||
\(685\) | − | 35.0316i | − | 1.33849i | ||||||
\(686\) | 6.40634 | + | 25.3960i | 0.244595 | + | 0.969625i | ||||
\(687\) | −9.53553 | − | 26.9798i | −0.363803 | − | 1.02935i | ||||
\(688\) | −14.0850 | − | 4.98648i | −0.536986 | − | 0.190108i | ||||
\(689\) | −6.56837 | − | 3.79225i | −0.250235 | − | 0.144473i | ||||
\(690\) | −42.5883 | − | 0.303886i | −1.62131 | − | 0.0115687i | ||||
\(691\) | 17.0490 | + | 29.5298i | 0.648576 | + | 1.12337i | 0.983463 | + | 0.181109i | \(0.0579685\pi\) |
−0.334887 | + | 0.942258i | \(0.608698\pi\) | |||||||
\(692\) | 5.01720 | − | 1.85118i | 0.190725 | − | 0.0703711i | ||||
\(693\) | 18.0638 | + | 10.3143i | 0.686185 | + | 0.391807i | ||||
\(694\) | −7.38138 | + | 1.31830i | −0.280193 | + | 0.0500420i | ||||
\(695\) | −14.0297 | − | 24.3002i | −0.532177 | − | 0.921758i | ||||
\(696\) | −11.8619 | + | 4.28073i | −0.449625 | + | 0.162261i | ||||
\(697\) | −0.0977632 | + | 0.169331i | −0.00370305 | + | 0.00641386i | ||||
\(698\) | −9.83772 | − | 11.6718i | −0.372363 | − | 0.441786i | ||||
\(699\) | −8.93467 | − | 25.2798i | −0.337940 | − | 0.956169i | ||||
\(700\) | 44.4421 | + | 14.7872i | 1.67975 | + | 0.558902i | ||||
\(701\) | −42.6496 | −1.61085 | −0.805426 | − | 0.592696i | \(-0.798063\pi\) | ||||
−0.805426 | + | 0.592696i | \(0.798063\pi\) | |||||||
\(702\) | −25.9577 | + | 3.88923i | −0.979709 | + | 0.146789i | ||||
\(703\) | −16.6842 | − | 9.63261i | −0.629255 | − | 0.363301i | ||||
\(704\) | 18.0166 | − | 10.7217i | 0.679025 | − | 0.404089i | ||||
\(705\) | 5.74903 | + | 4.91621i | 0.216521 | + | 0.185155i | ||||
\(706\) | −39.5004 | + | 7.05471i | −1.48662 | + | 0.265507i | ||||
\(707\) | −5.88308 | + | 38.6442i | −0.221256 | + | 1.45336i | ||||
\(708\) | −17.3603 | − | 20.8978i | −0.652442 | − | 0.785386i | ||||
\(709\) | −24.7114 | + | 14.2671i | −0.928054 | + | 0.535812i | −0.886196 | − | 0.463311i | \(-0.846661\pi\) |
−0.0418586 | + | 0.999124i | \(0.513328\pi\) | |||||||
\(710\) | −49.8987 | − | 18.0373i | −1.87266 | − | 0.676928i | ||||
\(711\) | 33.2270 | − | 5.22106i | 1.24611 | − | 0.195805i | ||||
\(712\) | 43.9200 | + | 24.9719i | 1.64597 | + | 0.935860i | ||||
\(713\) | − | 22.9909i | − | 0.861017i | ||||||
\(714\) | −0.497852 | − | 1.30135i | −0.0186316 | − | 0.0487019i | ||||
\(715\) | 34.8380 | 1.30287 | ||||||||
\(716\) | −10.7699 | + | 12.9504i | −0.402490 | + | 0.483981i | ||||
\(717\) | 6.50653 | − | 34.9869i | 0.242991 | − | 1.30661i | ||||
\(718\) | 0.156101 | + | 0.0564272i | 0.00582564 | + | 0.00210584i | ||||
\(719\) | 25.0072 | + | 43.3138i | 0.932612 | + | 1.61533i | 0.778837 | + | 0.627226i | \(0.215810\pi\) |
0.153775 | + | 0.988106i | \(0.450857\pi\) | |||||||
\(720\) | −8.18890 | + | 43.9039i | −0.305182 | + | 1.63620i | ||||
\(721\) | 12.4070 | − | 15.5108i | 0.462059 | − | 0.577651i | ||||
\(722\) | 3.42933 | + | 19.2013i | 0.127626 | + | 0.714600i | ||||
\(723\) | −16.2353 | − | 13.8834i | −0.603797 | − | 0.516329i | ||||
\(724\) | −12.0689 | − | 2.07331i | −0.448536 | − | 0.0770539i | ||||
\(725\) | −11.3925 | + | 19.7324i | −0.423108 | + | 0.732844i | ||||
\(726\) | −5.12307 | + | 8.72898i | −0.190135 | + | 0.323963i | ||||
\(727\) | 27.7338i | 1.02859i | 0.857614 | + | 0.514295i | \(0.171946\pi\) | ||||
−0.857614 | + | 0.514295i | \(0.828054\pi\) | |||||||
\(728\) | −16.5579 | + | 20.9828i | −0.613677 | + | 0.777675i | ||||
\(729\) | −12.1695 | − | 24.1019i | −0.450723 | − | 0.892664i | ||||
\(730\) | −35.8320 | + | 30.2014i | −1.32620 | + | 1.11780i | ||||
\(731\) | 0.695503 | + | 0.401549i | 0.0257241 | + | 0.0148518i | ||||
\(732\) | −1.18791 | + | 0.203423i | −0.0439065 | + | 0.00751875i | ||||
\(733\) | −24.4018 | + | 14.0884i | −0.901300 | + | 0.520366i | −0.877622 | − | 0.479354i | \(-0.840871\pi\) |
−0.0236782 | + | 0.999720i | \(0.507538\pi\) | |||||||
\(734\) | −11.7525 | + | 2.09898i | −0.433794 | + | 0.0774748i | ||||
\(735\) | −21.0780 | + | 39.8984i | −0.777475 | + | 1.47168i | ||||
\(736\) | −20.4303 | − | 16.7632i | −0.753069 | − | 0.617900i | ||||
\(737\) | 22.6384 | − | 13.0703i | 0.833897 | − | 0.481450i | ||||
\(738\) | 1.25976 | + | 3.64699i | 0.0463725 | + | 0.134248i | ||||
\(739\) | 15.9133 | − | 27.5626i | 0.585379 | − | 1.01391i | −0.409449 | − | 0.912333i | \(-0.634279\pi\) |
0.994828 | − | 0.101573i | \(-0.0323876\pi\) | |||||||
\(740\) | 40.1795 | − | 48.3146i | 1.47703 | − | 1.77608i | ||||
\(741\) | 4.70459 | + | 13.3112i | 0.172827 | + | 0.488998i | ||||
\(742\) | −4.14778 | − | 6.77650i | −0.152270 | − | 0.248773i | ||||
\(743\) | 30.9943 | 1.13707 | 0.568535 | − | 0.822659i | \(-0.307510\pi\) | ||||
0.568535 | + | 0.822659i | \(0.307510\pi\) | |||||||
\(744\) | −23.7315 | − | 4.25137i | −0.870039 | − | 0.155863i | ||||
\(745\) | 27.4934 | − | 47.6200i | 1.00728 | − | 1.74466i | ||||
\(746\) | −0.0435130 | + | 0.120375i | −0.00159313 | + | 0.00440725i | ||||
\(747\) | −1.87595 | + | 4.86924i | −0.0686375 | + | 0.178156i | ||||
\(748\) | −1.05721 | + | 0.390073i | −0.0386553 | + | 0.0142625i | ||||
\(749\) | 20.8762 | − | 26.0988i | 0.762800 | − | 0.953628i | ||||
\(750\) | 17.3384 | + | 30.5320i | 0.633109 | + | 1.11487i | ||||
\(751\) | 32.0364 | − | 18.4962i | 1.16902 | − | 0.674936i | 0.215574 | − | 0.976488i | \(-0.430838\pi\) |
0.953450 | + | 0.301551i | \(0.0975045\pi\) | |||||||
\(752\) | 0.855756 | + | 4.61516i | 0.0312062 | + | 0.168297i | ||||
\(753\) | −36.2670 | − | 6.74460i | −1.32164 | − | 0.245787i | ||||
\(754\) | −8.37999 | − | 9.94234i | −0.305181 | − | 0.362079i | ||||
\(755\) | 13.6974i | 0.498501i | ||||||||
\(756\) | −25.8358 | − | 9.40793i | −0.939641 | − | 0.342163i | ||||
\(757\) | − | 2.01191i | − | 0.0731242i | −0.999331 | − | 0.0365621i | \(-0.988359\pi\) | ||
0.999331 | − | 0.0365621i | \(-0.0116407\pi\) | |||||||
\(758\) | 21.3978 | − | 18.0353i | 0.777204 | − | 0.655073i | ||||
\(759\) | −20.8483 | − | 3.87716i | −0.756744 | − | 0.140732i | ||||
\(760\) | 24.0220 | − | 0.158686i | 0.871369 | − | 0.00575614i | ||||
\(761\) | −35.5006 | + | 20.4963i | −1.28689 | + | 0.742989i | −0.978099 | − | 0.208140i | \(-0.933259\pi\) |
−0.308795 | + | 0.951129i | \(0.599926\pi\) | |||||||
\(762\) | 5.39090 | − | 3.06136i | 0.195292 | − | 0.110901i | ||||
\(763\) | −33.9098 | − | 5.16233i | −1.22762 | − | 0.186889i | ||||
\(764\) | 28.3884 | − | 10.4743i | 1.02706 | − | 0.378948i | ||||
\(765\) | 0.862994 | − | 2.24000i | 0.0312016 | − | 0.0809873i | ||||
\(766\) | 33.2102 | + | 12.0048i | 1.19993 | + | 0.433750i | ||||
\(767\) | 14.0064 | − | 24.2598i | 0.505741 | − | 0.875970i | ||||
\(768\) | −21.0811 | + | 17.9886i | −0.760697 | + | 0.649107i | ||||
\(769\) | −46.8470 | −1.68935 | −0.844673 | − | 0.535282i | \(-0.820205\pi\) | ||||
−0.844673 | + | 0.535282i | \(0.820205\pi\) | |||||||
\(770\) | 32.0629 | + | 17.4304i | 1.15547 | + | 0.628148i | ||||
\(771\) | −8.81723 | − | 24.9475i | −0.317545 | − | 0.898461i | ||||
\(772\) | 4.70429 | + | 3.91219i | 0.169311 | + | 0.140803i | ||||
\(773\) | −11.2358 | + | 19.4611i | −0.404125 | + | 0.699966i | −0.994219 | − | 0.107369i | \(-0.965757\pi\) |
0.590094 | + | 0.807335i | \(0.299091\pi\) | |||||||
\(774\) | 14.9795 | − | 5.17430i | 0.538427 | − | 0.185986i | ||||
\(775\) | −37.7247 | + | 21.7803i | −1.35511 | + | 0.782373i | ||||
\(776\) | −12.7095 | − | 21.6815i | −0.456246 | − | 0.778322i | ||||
\(777\) | 25.2830 | + | 29.2814i | 0.907024 | + | 1.05047i | ||||
\(778\) | 7.48327 | + | 41.9000i | 0.268288 | + | 1.50219i | ||||
\(779\) | 1.79734 | − | 1.03770i | 0.0643965 | − | 0.0371794i | ||||
\(780\) | −45.3892 | + | 7.77265i | −1.62519 | + | 0.278305i | ||||
\(781\) | −22.8791 | − | 13.2093i | −0.818679 | − | 0.472664i | ||||
\(782\) | 0.915434 | + | 1.08611i | 0.0327359 | + | 0.0388391i | ||||
\(783\) | 7.00965 | − | 11.3918i | 0.250505 | − | 0.407111i | ||||
\(784\) | −25.7372 | + | 11.0270i | −0.919187 | + | 0.393821i | ||||
\(785\) | 79.9291i | 2.85279i | ||||||||
\(786\) | 12.3144 | + | 7.22734i | 0.439239 | + | 0.257791i | ||||
\(787\) | 11.3998 | − | 19.7450i | 0.406358 | − | 0.703833i | −0.588120 | − | 0.808773i | \(-0.700132\pi\) |
0.994479 | + | 0.104940i | \(0.0334652\pi\) | |||||||
\(788\) | −4.93490 | + | 28.7264i | −0.175799 | + | 1.02334i | ||||
\(789\) | 0.657979 | + | 0.562662i | 0.0234247 | + | 0.0200313i | ||||
\(790\) | 58.0913 | − | 10.3750i | 2.06680 | − | 0.369126i | ||||
\(791\) | −6.84182 | − | 17.5087i | −0.243267 | − | 0.622538i | ||||
\(792\) | −7.85722 | + | 20.8029i | −0.279194 | + | 0.739198i | ||||
\(793\) | −0.621340 | − | 1.07619i | −0.0220644 | − | 0.0382167i | ||||
\(794\) | −2.72939 | + | 7.55063i | −0.0968625 | + | 0.267962i | ||||
\(795\) | 2.50269 | − | 13.4574i | 0.0887612 | − | 0.477286i | ||||
\(796\) | −22.2068 | + | 26.7029i | −0.787098 | + | 0.946461i | ||||
\(797\) | 21.8746 | 0.774837 | 0.387419 | − | 0.921904i | \(-0.373367\pi\) | ||||
0.387419 | + | 0.921904i | \(0.373367\pi\) | |||||||
\(798\) | −2.33011 | + | 14.6047i | −0.0824852 | + | 0.517000i | ||||
\(799\) | − | 0.252288i | − | 0.00892532i | ||||||
\(800\) | −8.15142 | + | 49.4035i | −0.288196 | + | 1.74668i | ||||
\(801\) | −52.9380 | + | 8.31831i | −1.87047 | + | 0.293913i | ||||
\(802\) | 0.498270 | − | 1.37842i | 0.0175945 | − | 0.0486738i | ||||
\(803\) | −20.2071 | + | 11.6666i | −0.713094 | + | 0.411705i | ||||
\(804\) | −26.5787 | + | 22.0797i | −0.937359 | + | 0.778690i | ||||
\(805\) | 6.92340 | − | 45.4778i | 0.244018 | − | 1.60288i | ||||
\(806\) | −4.37062 | − | 24.4718i | −0.153948 | − | 0.861981i | ||||
\(807\) | 28.7516 | + | 24.5865i | 1.01210 | + | 0.865487i | ||||
\(808\) | −41.7875 | + | 0.276042i | −1.47008 | + | 0.00971112i | ||||
\(809\) | 24.0416 | + | 13.8804i | 0.845258 | + | 0.488010i | 0.859048 | − | 0.511895i | \(-0.171056\pi\) |
−0.0137900 | + | 0.999905i | \(0.504390\pi\) | |||||||
\(810\) | −22.2289 | − | 41.8308i | −0.781045 | − | 1.46978i | ||||
\(811\) | 6.49133 | 0.227942 | 0.113971 | − | 0.993484i | \(-0.463643\pi\) | ||||
0.113971 | + | 0.993484i | \(0.463643\pi\) | |||||||
\(812\) | −2.73803 | − | 13.3431i | −0.0960861 | − | 0.468251i | ||||
\(813\) | −9.08442 | − | 25.7035i | −0.318605 | − | 0.901461i | ||||
\(814\) | 23.9237 | − | 20.1643i | 0.838524 | − | 0.706758i | ||||
\(815\) | 2.81474 | − | 4.87528i | 0.0985962 | − | 0.170774i | ||||
\(816\) | 1.29037 | − | 0.744085i | 0.0451720 | − | 0.0260482i | ||||
\(817\) | −4.26220 | − | 7.38234i | −0.149115 | − | 0.258275i | ||||
\(818\) | 0.914919 | + | 5.12277i | 0.0319894 | + | 0.179114i | ||||
\(819\) | −0.135554 | − | 28.3501i | −0.00473664 | − | 0.990634i | ||||
\(820\) | 2.34328 | + | 6.35094i | 0.0818308 | + | 0.221784i | ||||
\(821\) | 12.8884 | + | 22.3234i | 0.449810 | + | 0.779094i | 0.998373 | − | 0.0570153i | \(-0.0181584\pi\) |
−0.548563 | + | 0.836109i | \(0.684825\pi\) | |||||||
\(822\) | −0.164511 | + | 23.0556i | −0.00573799 | + | 0.804155i | ||||
\(823\) | −18.5654 | − | 10.7188i | −0.647151 | − | 0.373633i | 0.140213 | − | 0.990121i | \(-0.455221\pi\) |
−0.787364 | + | 0.616489i | \(0.788555\pi\) | |||||||
\(824\) | 18.4588 | + | 10.4952i | 0.643042 | + | 0.365618i | ||||
\(825\) | 13.3887 | + | 37.8819i | 0.466133 | + | 1.31888i | ||||
\(826\) | 25.0285 | − | 15.3195i | 0.870854 | − | 0.533034i | ||||
\(827\) | 0.550214i | 0.0191328i | 0.999954 | + | 0.00956640i | \(0.00304513\pi\) | ||||
−0.999954 | + | 0.00956640i | \(0.996955\pi\) | |||||||
\(828\) | 28.0275 | + | 0.399997i | 0.974023 | + | 0.0139008i | ||||
\(829\) | 40.9798 | + | 23.6597i | 1.42329 | + | 0.821735i | 0.996578 | − | 0.0826545i | \(-0.0263398\pi\) |
0.426708 | + | 0.904389i | \(0.359673\pi\) | |||||||
\(830\) | −3.11222 | + | 8.60969i | −0.108027 | + | 0.298847i | ||||
\(831\) | 14.1254 | − | 16.5183i | 0.490005 | − | 0.573014i | ||||
\(832\) | −24.9329 | − | 13.9591i | −0.864393 | − | 0.483945i | ||||
\(833\) | 1.46822 | − | 0.330551i | 0.0508709 | − | 0.0114529i | ||||
\(834\) | 9.11936 | + | 16.0587i | 0.315777 | + | 0.556068i | ||||
\(835\) | 13.4297 | + | 23.2610i | 0.464755 | + | 0.804979i | ||||
\(836\) | 11.7884 | + | 2.02512i | 0.407710 | + | 0.0700404i | ||||
\(837\) | 22.4952 | − | 12.1606i | 0.777549 | − | 0.420332i | ||||
\(838\) | −8.94511 | − | 10.6128i | −0.309004 | − | 0.366614i | ||||
\(839\) | −13.0088 | −0.449114 | −0.224557 | − | 0.974461i | \(-0.572094\pi\) | ||||
−0.224557 | + | 0.974461i | \(0.572094\pi\) | |||||||
\(840\) | −45.6625 | − | 15.5560i | −1.57550 | − | 0.536732i | ||||
\(841\) | −22.3737 | −0.771508 | ||||||||
\(842\) | 30.0941 | + | 35.7048i | 1.03711 | + | 1.23047i | ||||
\(843\) | 38.7419 | + | 7.20486i | 1.33434 | + | 0.248149i | ||||
\(844\) | −7.20197 | + | 41.9232i | −0.247902 | + | 1.44305i | ||||
\(845\) | 0.450499 | + | 0.780288i | 0.0154977 | + | 0.0268427i | ||||
\(846\) | −3.76056 | − | 3.26254i | −0.129291 | − | 0.112168i | ||||
\(847\) | −8.53711 | − | 6.82878i | −0.293339 | − | 0.234640i | ||||
\(848\) | 6.45821 | − | 5.51674i | 0.221776 | − | 0.189446i | ||||
\(849\) | 1.15941 | + | 0.991453i | 0.0397908 | + | 0.0340266i | ||||
\(850\) | 0.914906 | − | 2.53101i | 0.0313810 | − | 0.0868129i | ||||
\(851\) | −34.1552 | − | 19.7195i | −1.17082 | − | 0.675975i | ||||
\(852\) | 32.7555 | + | 12.1054i | 1.12218 | + | 0.414723i | ||||
\(853\) | − | 30.6386i | − | 1.04904i | −0.851397 | − | 0.524522i | \(-0.824244\pi\) | ||
0.851397 | − | 0.524522i | \(-0.175756\pi\) | |||||||
\(854\) | −0.0333968 | − | 1.30134i | −0.00114281 | − | 0.0445309i | ||||
\(855\) | −19.8210 | + | 16.0107i | −0.677865 | + | 0.547555i | ||||
\(856\) | 31.0591 | + | 17.6595i | 1.06158 | + | 0.603589i | ||||
\(857\) | −37.8255 | − | 21.8385i | −1.29209 | − | 0.745991i | −0.313069 | − | 0.949731i | \(-0.601357\pi\) |
−0.979025 | + | 0.203740i | \(0.934690\pi\) | |||||||
\(858\) | −22.9282 | − | 0.163602i | −0.782754 | − | 0.00558529i | ||||
\(859\) | −10.5500 | − | 18.2731i | −0.359961 | − | 0.623471i | 0.627993 | − | 0.778219i | \(-0.283877\pi\) |
−0.987954 | + | 0.154748i | \(0.950543\pi\) | |||||||
\(860\) | 26.0856 | − | 9.62469i | 0.889512 | − | 0.328199i | ||||
\(861\) | −4.09365 | + | 0.781567i | −0.139511 | + | 0.0266357i | ||||
\(862\) | −2.62219 | − | 14.6821i | −0.0893123 | − | 0.500074i | ||||
\(863\) | 23.7379 | + | 41.1152i | 0.808047 | + | 1.39958i | 0.914215 | + | 0.405230i | \(0.132809\pi\) |
−0.106168 | + | 0.994348i | \(0.533858\pi\) | |||||||
\(864\) | 5.59560 | − | 28.8564i | 0.190366 | − | 0.981713i | ||||
\(865\) | −4.97582 | + | 8.61838i | −0.169183 | + | 0.293034i | ||||
\(866\) | −14.8290 | + | 12.4987i | −0.503910 | + | 0.424725i | ||||
\(867\) | 27.6865 | − | 9.78527i | 0.940282 | − | 0.332325i | ||||
\(868\) | 8.22144 | − | 24.7092i | 0.279054 | − | 0.838683i | ||||
\(869\) | 29.3820 | 0.996716 | ||||||||
\(870\) | 11.8782 | − | 20.2388i | 0.402709 | − | 0.686159i | ||||
\(871\) | −30.8547 | − | 17.8140i | −1.04547 | − | 0.603603i | ||||
\(872\) | −0.242224 | − | 36.6680i | −0.00820272 | − | 1.24174i | ||||
\(873\) | 24.8744 | + | 9.58325i | 0.841870 | + | 0.324344i | ||||
\(874\) | −2.65080 | − | 14.8422i | −0.0896646 | − | 0.502046i | ||||
\(875\) | −35.3237 | + | 13.8033i | −1.19416 | + | 0.466638i | ||||
\(876\) | 23.7242 | − | 19.7084i | 0.801568 | − | 0.665884i | ||||
\(877\) | −33.6478 | + | 19.4266i | −1.13621 | + | 0.655989i | −0.945488 | − | 0.325656i | \(-0.894415\pi\) |
−0.190718 | + | 0.981645i | \(0.561082\pi\) | |||||||
\(878\) | 4.78610 | − | 13.2403i | 0.161523 | − | 0.446840i | ||||
\(879\) | −7.00752 | + | 37.6808i | −0.236358 | + | 1.27094i | ||||
\(880\) | −13.0202 | + | 36.7775i | −0.438912 | + | 1.23977i | ||||
\(881\) | − | 45.6144i | − | 1.53679i | −0.639978 | − | 0.768393i | \(-0.721056\pi\) | ||
0.639978 | − | 0.768393i | \(-0.278944\pi\) | |||||||
\(882\) | 14.0596 | − | 26.1597i | 0.473411 | − | 0.880841i | ||||
\(883\) | 56.6501 | 1.90643 | 0.953214 | − | 0.302295i | \(-0.0977527\pi\) | ||||
0.953214 | + | 0.302295i | \(0.0977527\pi\) | |||||||
\(884\) | 1.18087 | + | 0.982037i | 0.0397169 | + | 0.0330295i | ||||
\(885\) | 49.7041 | + | 9.24350i | 1.67078 | + | 0.310717i | ||||
\(886\) | 0.112229 | − | 0.310471i | 0.00377040 | − | 0.0104305i | ||||
\(887\) | −3.46905 | − | 6.00857i | −0.116479 | − | 0.201748i | 0.801891 | − | 0.597471i | \(-0.203828\pi\) |
−0.918370 | + | 0.395723i | \(0.870494\pi\) | |||||||
\(888\) | −26.6705 | + | 31.6089i | −0.895004 | + | 1.06073i | ||||
\(889\) | 2.43719 | + | 6.23694i | 0.0817407 | + | 0.209180i | ||||
\(890\) | −92.5524 | + | 16.5297i | −3.10236 | + | 0.554077i | ||||
\(891\) | −7.23372 | − | 22.4495i | −0.242339 | − | 0.752087i | ||||
\(892\) | 13.1827 | + | 2.26465i | 0.441388 | + | 0.0758259i | ||||
\(893\) | −1.33894 | + | 2.31912i | −0.0448060 | + | 0.0776064i | ||||
\(894\) | −18.3181 | + | 31.2114i | −0.612648 | + | 1.04386i | ||||
\(895\) | − | 31.3438i | − | 1.04771i | ||||||
\(896\) | −15.9627 | − | 25.3218i | −0.533276 | − | 0.845942i | ||||
\(897\) | 9.63105 | + | 27.2501i | 0.321571 | + | 0.909854i | ||||
\(898\) | −5.32209 | − | 6.31433i | −0.177600 | − | 0.210712i | ||||
\(899\) | 10.9709 | + | 6.33407i | 0.365901 | + | 0.211253i | ||||
\(900\) | −25.8954 | − | 46.3679i | −0.863180 | − | 1.54560i | ||||
\(901\) | −0.395365 | + | 0.228264i | −0.0131715 | + | 0.00760457i | ||||
\(902\) | 0.592603 | + | 3.31808i | 0.0197315 | + | 0.110480i | ||||
\(903\) | 3.21018 | + | 16.8141i | 0.106828 | + | 0.559538i | ||||
\(904\) | 17.3368 | − | 10.1627i | 0.576614 | − | 0.338006i | ||||
\(905\) | 19.7347 | − | 11.3939i | 0.656005 | − | 0.378745i | ||||
\(906\) | 0.0643244 | − | 9.01480i | 0.00213704 | − | 0.299497i | ||||
\(907\) | −23.0866 | + | 39.9871i | −0.766577 | + | 1.32775i | 0.172832 | + | 0.984951i | \(0.444708\pi\) |
−0.939409 | + | 0.342799i | \(0.888625\pi\) | |||||||
\(908\) | −30.6607 | + | 36.8685i | −1.01751 | + | 1.22352i | ||||
\(909\) | 34.4797 | − | 27.8515i | 1.14362 | − | 0.923774i | ||||
\(910\) | −1.27607 | − | 49.7232i | −0.0423012 | − | 1.64831i | ||||
\(911\) | −33.7577 | −1.11844 | −0.559221 | − | 0.829018i | \(-0.688900\pi\) | ||||
−0.559221 | + | 0.829018i | \(0.688900\pi\) | |||||||
\(912\) | −15.8105 | − | 0.00837244i | −0.523538 | − | 0.000277239i | ||||
\(913\) | −2.27917 | + | 3.94764i | −0.0754295 | + | 0.130648i | ||||
\(914\) | −23.7647 | − | 8.59042i | −0.786065 | − | 0.284146i | ||||
\(915\) | 1.45758 | − | 1.70450i | 0.0481862 | − | 0.0563491i | ||||
\(916\) | 11.4377 | + | 30.9994i | 0.377913 | + | 1.02425i | ||||
\(917\) | −9.63366 | + | 12.0437i | −0.318131 | + | 0.397717i | ||||
\(918\) | −0.578488 | + | 1.47017i | −0.0190929 | + | 0.0485229i | ||||
\(919\) | 1.09773 | − | 0.633774i | 0.0362107 | − | 0.0209063i | −0.481785 | − | 0.876289i | \(-0.660012\pi\) |
0.517996 | + | 0.855383i | \(0.326678\pi\) | |||||||
\(920\) | 49.1769 | − | 0.324855i | 1.62131 | − | 0.0107102i | ||||
\(921\) | −3.15653 | + | 16.9733i | −0.104011 | + | 0.559289i | ||||
\(922\) | 0.432896 | − | 0.364870i | 0.0142567 | − | 0.0120164i | ||||
\(923\) | 36.0067i | 1.18517i | ||||||||
\(924\) | −21.0199 | − | 11.6222i | −0.691504 | − | 0.382341i | ||||
\(925\) | 74.7247i | 2.45693i | ||||||||
\(926\) | −26.8225 | − | 31.8232i | −0.881441 | − | 1.04578i | ||||
\(927\) | −22.2489 | + | 3.49603i | −0.730750 | + | 0.114825i | ||||
\(928\) | 13.6278 | − | 5.13070i | 0.447353 | − | 0.168424i | ||||
\(929\) | 28.9002 | − | 16.6855i | 0.948183 | − | 0.547434i | 0.0556673 | − | 0.998449i | \(-0.482271\pi\) |
0.892516 | + | 0.451015i | \(0.148938\pi\) | |||||||
\(930\) | 39.0128 | − | 22.1544i | 1.27928 | − | 0.726472i | ||||
\(931\) | −15.2507 | − | 4.75361i | −0.499821 | − | 0.155793i | ||||
\(932\) | 10.7170 | + | 29.0461i | 0.351047 | + | 0.951435i | ||||
\(933\) | 15.4592 | + | 13.2197i | 0.506111 | + | 0.432794i | ||||
\(934\) | 3.74758 | − | 10.3674i | 0.122625 | − | 0.339231i | ||||
\(935\) | 1.04849 | − | 1.81603i | 0.0342892 | − | 0.0593906i | ||||
\(936\) | 29.9088 | − | 4.90232i | 0.977600 | − | 0.160237i | ||||
\(937\) | −9.31498 | −0.304307 | −0.152154 | − | 0.988357i | \(-0.548621\pi\) | ||||
−0.152154 | + | 0.988357i | \(0.548621\pi\) | |||||||
\(938\) | −19.4841 | − | 31.8324i | −0.636177 | − | 1.03936i | ||||
\(939\) | 1.12197 | − | 0.396541i | 0.0366142 | − | 0.0129406i | ||||
\(940\) | −6.71578 | − | 5.58500i | −0.219045 | − | 0.182163i | ||||
\(941\) | −20.0007 | + | 34.6422i | −0.652003 | + | 1.12930i | 0.330633 | + | 0.943759i | \(0.392738\pi\) |
−0.982636 | + | 0.185543i | \(0.940596\pi\) | |||||||
\(942\) | 0.375355 | − | 52.6044i | 0.0122297 | − | 1.71394i | ||||
\(943\) | 3.67945 | − | 2.12433i | 0.119819 | − | 0.0691778i | ||||
\(944\) | 20.3757 | + | 23.8529i | 0.663172 | + | 0.776347i | ||||
\(945\) | 48.1593 | − | 17.2805i | 1.56662 | − | 0.562134i | ||||
\(946\) | 13.6285 | − | 2.43403i | 0.443102 | − | 0.0791373i | ||||
\(947\) | 28.9295 | − | 16.7025i | 0.940083 | − | 0.542757i | 0.0500965 | − | 0.998744i | \(-0.484047\pi\) |
0.889986 | + | 0.455987i | \(0.150714\pi\) | |||||||
\(948\) | −38.2808 | + | 6.55538i | −1.24330 | + | 0.212909i | ||||
\(949\) | 27.5410 | + | 15.9008i | 0.894018 | + | 0.516161i | ||||
\(950\) | −21.8427 | + | 18.4103i | −0.708670 | + | 0.597309i | ||||
\(951\) | −53.7389 | + | 18.9930i | −1.74260 | + | 0.615891i | ||||
\(952\) | 0.595464 | + | 1.49463i | 0.0192991 | + | 0.0484413i | ||||
\(953\) | 35.4084i | 1.14699i | 0.819209 | + | 0.573495i | \(0.194413\pi\) | ||||
−0.819209 | + | 0.573495i | \(0.805587\pi\) | |||||||
\(954\) | −1.71031 | + | 8.84509i | −0.0553734 | + | 0.286370i | ||||
\(955\) | −28.1543 | + | 48.7646i | −0.911051 | + | 1.57799i | ||||
\(956\) | −6.95727 | + | 40.4988i | −0.225014 | + | 1.30982i | ||||
\(957\) | 7.59389 | − | 8.88032i | 0.245476 | − | 0.287060i | ||||
\(958\) | −9.61853 | − | 53.8557i | −0.310761 | − | 1.74000i | ||||
\(959\) | −24.6198 | − | 3.74805i | −0.795016 | − | 0.121031i | ||||
\(960\) | 8.75824 | − | 50.8210i | 0.282671 | − | 1.64024i | ||||
\(961\) | −3.39046 | − | 5.87244i | −0.109370 | − | 0.189434i | ||||
\(962\) | −40.1038 | − | 14.4967i | −1.29300 | − | 0.467392i | ||||
\(963\) | −37.4365 | + | 5.88250i | −1.20637 | + | 0.189561i | ||||
\(964\) | 18.9654 | + | 15.7721i | 0.610835 | + | 0.507984i | ||||
\(965\) | −11.3857 | −0.366519 | ||||||||
\(966\) | −4.77012 | + | 29.8981i | −0.153476 | + | 0.961956i | ||||
\(967\) | 59.2726i | 1.90608i | 0.302849 | + | 0.953039i | \(0.402062\pi\) | ||||
−0.302849 | + | 0.953039i | \(0.597938\pi\) | |||||||
\(968\) | 5.77656 | − | 10.1597i | 0.185666 | − | 0.326545i | ||||
\(969\) | 0.835475 | + | 0.155374i | 0.0268393 | + | 0.00499133i | ||||
\(970\) | 43.9824 | + | 15.8987i | 1.41219 | + | 0.510476i | ||||
\(971\) | 49.2281 | − | 28.4218i | 1.57980 | − | 0.912101i | 0.584919 | − | 0.811092i | \(-0.301126\pi\) |
0.994886 | − | 0.101009i | \(-0.0322070\pi\) | |||||||
\(972\) | 14.4332 | + | 27.6348i | 0.462946 | + | 0.886386i | ||||
\(973\) | −18.5790 | + | 7.26005i | −0.595614 | + | 0.232746i | ||||
\(974\) | −13.8747 | + | 2.47801i | −0.444576 | + | 0.0794004i | ||||
\(975\) | 35.5894 | − | 41.6184i | 1.13977 | − | 1.33285i | ||||
\(976\) | 1.36833 | − | 0.253719i | 0.0437990 | − | 0.00812134i | ||||
\(977\) | −31.5116 | − | 18.1932i | −1.00814 | − | 0.582052i | −0.0974966 | − | 0.995236i | \(-0.531084\pi\) |
−0.910648 | + | 0.413183i | \(0.864417\pi\) | |||||||
\(978\) | −1.87538 | + | 3.19538i | −0.0599681 | + | 0.102177i | ||||
\(979\) | −46.8121 | −1.49612 | ||||||||
\(980\) | 23.7035 | − | 46.4008i | 0.757179 | − | 1.48222i | ||||
\(981\) | 24.4393 | + | 30.2555i | 0.780287 | + | 0.965984i | ||||
\(982\) | 14.1339 | + | 16.7690i | 0.451031 | + | 0.535121i | ||||
\(983\) | 7.30275 | − | 12.6487i | 0.232921 | − | 0.403432i | −0.725745 | − | 0.687964i | \(-0.758505\pi\) |
0.958667 | + | 0.284532i | \(0.0918381\pi\) | |||||||
\(984\) | −1.51237 | − | 4.19080i | −0.0482127 | − | 0.133598i | ||||
\(985\) | −27.1197 | − | 46.9727i | −0.864105 | − | 1.49667i | ||||
\(986\) | −0.770480 | + | 0.137606i | −0.0245371 | + | 0.00438228i | ||||
\(987\) | 4.07016 | − | 3.51437i | 0.129555 | − | 0.111864i | ||||
\(988\) | −5.64308 | − | 15.2943i | −0.179530 | − | 0.486577i | ||||
\(989\) | −8.72540 | − | 15.1128i | −0.277452 | − | 0.480560i | ||||
\(990\) | −13.5106 | − | 39.1131i | −0.429397 | − | 1.24310i | ||||
\(991\) | 36.4541 | + | 21.0468i | 1.15800 | + | 0.668572i | 0.950824 | − | 0.309731i | \(-0.100239\pi\) |
0.207177 | + | 0.978303i | \(0.433572\pi\) | |||||||
\(992\) | 27.4676 | + | 4.53207i | 0.872098 | + | 0.143893i | ||||
\(993\) | 2.72157 | − | 0.961890i | 0.0863665 | − | 0.0305246i | ||||
\(994\) | −18.0151 | + | 33.1385i | −0.571406 | + | 1.05109i | ||||
\(995\) | − | 64.6287i | − | 2.04887i | ||||||
\(996\) | 2.08870 | − | 5.65175i | 0.0661830 | − | 0.179082i | ||||
\(997\) | 11.0158 | + | 6.36000i | 0.348875 | + | 0.201423i | 0.664190 | − | 0.747564i | \(-0.268777\pi\) |
−0.315315 | + | 0.948987i | \(0.602110\pi\) | |||||||
\(998\) | 0.732941 | + | 0.264942i | 0.0232008 | + | 0.00838660i | ||||
\(999\) | 1.22861 | − | 43.8490i | 0.0388714 | − | 1.38732i |
(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 | 168.2.v.a.11.6 | yes | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.11.23 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.431.16 | 56 | |||
7.2 | even | 3 | inner | 168.2.v.a.107.26 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.11.3 | ✓ | 56 | |
8.5 | even | 2 | 672.2.bd.a.431.15 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.431.21 | 56 | |||
21.2 | odd | 6 | inner | 168.2.v.a.107.3 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.431.22 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.11.26 | yes | 56 | |
28.23 | odd | 6 | 672.2.bd.a.527.22 | 56 | |||
56.37 | even | 6 | 672.2.bd.a.527.21 | 56 | |||
56.51 | odd | 6 | inner | 168.2.v.a.107.23 | yes | 56 | |
84.23 | even | 6 | 672.2.bd.a.527.15 | 56 | |||
168.107 | even | 6 | inner | 168.2.v.a.107.6 | yes | 56 | |
168.149 | odd | 6 | 672.2.bd.a.527.16 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.3 | ✓ | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.11.6 | yes | 56 | 1.1 | even | 1 | trivial | |
168.2.v.a.11.23 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.11.26 | yes | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.107.3 | yes | 56 | 21.2 | odd | 6 | inner | |
168.2.v.a.107.6 | yes | 56 | 168.107 | even | 6 | inner | |
168.2.v.a.107.23 | yes | 56 | 56.51 | odd | 6 | inner | |
168.2.v.a.107.26 | yes | 56 | 7.2 | even | 3 | inner | |
672.2.bd.a.431.15 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.431.16 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.431.21 | 56 | 12.11 | even | 2 | |||
672.2.bd.a.431.22 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.527.15 | 56 | 84.23 | even | 6 | |||
672.2.bd.a.527.16 | 56 | 168.149 | odd | 6 | |||
672.2.bd.a.527.21 | 56 | 56.37 | even | 6 | |||
672.2.bd.a.527.22 | 56 | 28.23 | odd | 6 |