Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 109.4 | ||
Character | \(\chi\) | \(=\) | 729.109 |
Dual form | 729.2.g.d.622.4 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.217727 | − | 0.230777i | −0.153956 | − | 0.163184i | 0.645805 | − | 0.763503i | \(-0.276522\pi\) |
−0.799761 | + | 0.600319i | \(0.795040\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.110437 | − | 1.89612i | 0.0552183 | − | 0.948062i | ||||
\(5\) | −2.10697 | + | 0.246269i | −0.942265 | + | 0.110135i | −0.573334 | − | 0.819322i | \(-0.694350\pi\) |
−0.368931 | + | 0.929457i | \(0.620276\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.27300 | − | 1.14154i | −0.859112 | − | 0.431462i | −0.0360069 | − | 0.999352i | \(-0.511464\pi\) |
−0.823105 | + | 0.567889i | \(0.807760\pi\) | |||||||
\(8\) | −0.947719 | + | 0.795231i | −0.335069 | + | 0.281157i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.515577 | + | 0.432621i | 0.163040 | + | 0.136807i | ||||
\(11\) | −1.21202 | − | 2.80978i | −0.365438 | − | 0.847181i | −0.997392 | − | 0.0721747i | \(-0.977006\pi\) |
0.631954 | − | 0.775006i | \(-0.282253\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.37024 | + | 1.27277i | 1.48944 | + | 0.353003i | 0.893147 | − | 0.449766i | \(-0.148492\pi\) |
0.596291 | + | 0.802769i | \(0.296641\pi\) | |||||||
\(14\) | 0.231451 | + | 0.773099i | 0.0618578 | + | 0.206620i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.38312 | − | 0.395430i | −0.845781 | − | 0.0988576i | ||||
\(17\) | −0.745021 | + | 4.22522i | −0.180694 | + | 1.02477i | 0.750670 | + | 0.660678i | \(0.229731\pi\) |
−0.931364 | + | 0.364090i | \(0.881380\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0105922 | − | 0.0600713i | −0.00243002 | − | 0.0137813i | 0.983569 | − | 0.180535i | \(-0.0577828\pi\) |
−0.985999 | + | 0.166753i | \(0.946672\pi\) | |||||||
\(20\) | 0.234271 | + | 4.02227i | 0.0523845 | + | 0.899407i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.384543 | + | 0.891471i | −0.0819849 | + | 0.190062i | ||||
\(23\) | −3.82550 | + | 1.92124i | −0.797671 | + | 0.400606i | −0.800457 | − | 0.599390i | \(-0.795410\pi\) |
0.00278538 | + | 0.999996i | \(0.499113\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.486554 | + | 0.115315i | −0.0973108 | + | 0.0230631i | ||||
\(26\) | −0.875520 | − | 1.51644i | −0.171704 | − | 0.297399i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.41553 | + | 4.18381i | −0.456491 | + | 0.790666i | ||||
\(29\) | −3.06272 | + | 10.2302i | −0.568733 | + | 1.89970i | −0.159755 | + | 0.987157i | \(0.551070\pi\) |
−0.408979 | + | 0.912544i | \(0.634115\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.85453 | − | 2.53516i | −0.692294 | − | 0.455329i | 0.153982 | − | 0.988074i | \(-0.450790\pi\) |
−0.846276 | + | 0.532745i | \(0.821161\pi\) | |||||||
\(32\) | 2.12290 | + | 2.85155i | 0.375280 | + | 0.504088i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.13730 | − | 0.748011i | 0.195045 | − | 0.128283i | ||||
\(35\) | 5.07026 | + | 1.84542i | 0.857030 | + | 0.311933i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.30730 | + | 1.20376i | −0.543716 | + | 0.197896i | −0.599252 | − | 0.800560i | \(-0.704535\pi\) |
0.0555362 | + | 0.998457i | \(0.482313\pi\) | |||||||
\(38\) | −0.0115569 | + | 0.0155236i | −0.00187477 | + | 0.00251826i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.80097 | − | 1.90892i | 0.284759 | − | 0.301827i | ||||
\(41\) | −1.72935 | + | 1.83301i | −0.270080 | + | 0.286268i | −0.848191 | − | 0.529690i | \(-0.822308\pi\) |
0.578112 | + | 0.815958i | \(0.303790\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.463275 | + | 0.622287i | −0.0706488 | + | 0.0948978i | −0.836043 | − | 0.548664i | \(-0.815137\pi\) |
0.765394 | + | 0.643562i | \(0.222544\pi\) | |||||||
\(44\) | −5.46154 | + | 1.98784i | −0.823359 | + | 0.299678i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.27629 | + | 0.464532i | 0.188179 | + | 0.0684915i | ||||
\(47\) | 3.79858 | − | 2.49837i | 0.554080 | − | 0.364424i | −0.241379 | − | 0.970431i | \(-0.577600\pi\) |
0.795460 | + | 0.606007i | \(0.207229\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.316716 | − | 0.425424i | −0.0452452 | − | 0.0607748i | ||||
\(50\) | 0.132548 | + | 0.0871782i | 0.0187451 | + | 0.0123289i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.00640 | − | 10.0421i | 0.416913 | − | 1.39259i | ||||
\(53\) | 0.986349 | − | 1.70841i | 0.135485 | − | 0.234668i | −0.790297 | − | 0.612724i | \(-0.790074\pi\) |
0.925783 | + | 0.378056i | \(0.123407\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.24565 | + | 5.62164i | 0.437644 | + | 0.758021i | ||||
\(56\) | 3.06195 | − | 0.725696i | 0.409170 | − | 0.0969752i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.02773 | − | 1.52058i | 0.397561 | − | 0.199662i | ||||
\(59\) | 2.85708 | − | 6.62346i | 0.371960 | − | 0.862301i | −0.624717 | − | 0.780851i | \(-0.714786\pi\) |
0.996677 | − | 0.0814496i | \(-0.0259550\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.679073 | + | 11.6592i | 0.0869464 | + | 1.49281i | 0.706419 | + | 0.707794i | \(0.250309\pi\) |
−0.619473 | + | 0.785018i | \(0.712654\pi\) | |||||||
\(62\) | 0.254177 | + | 1.44151i | 0.0322805 | + | 0.183072i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.987085 | + | 5.59804i | −0.123386 | + | 0.699755i | ||||
\(65\) | −11.6284 | − | 1.35916i | −1.44232 | − | 0.168583i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.347884 | + | 1.16201i | 0.0425008 | + | 0.141963i | 0.976607 | − | 0.215034i | \(-0.0689861\pi\) |
−0.934106 | + | 0.356996i | \(0.883801\pi\) | |||||||
\(68\) | 7.92927 | + | 1.87927i | 0.961565 | + | 0.227895i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.678050 | − | 1.57190i | −0.0810425 | − | 0.187878i | ||||
\(71\) | −10.9300 | − | 9.17137i | −1.29715 | − | 1.08844i | −0.990629 | − | 0.136579i | \(-0.956389\pi\) |
−0.306525 | − | 0.951863i | \(-0.599166\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.44218 | − | 6.24473i | 0.871042 | − | 0.730891i | −0.0932755 | − | 0.995640i | \(-0.529734\pi\) |
0.964317 | + | 0.264750i | \(0.0852893\pi\) | |||||||
\(74\) | 0.997887 | + | 0.501157i | 0.116002 | + | 0.0582584i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.115072 | + | 0.0134500i | −0.0131997 | + | 0.00154282i | ||||
\(77\) | −0.452562 | + | 7.77019i | −0.0515742 | + | 0.885496i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.10564 | − | 1.17191i | −0.124395 | − | 0.131851i | 0.662183 | − | 0.749342i | \(-0.269630\pi\) |
−0.786577 | + | 0.617492i | \(0.788149\pi\) | |||||||
\(80\) | 7.22552 | 0.807838 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.799542 | 0.0882947 | ||||||||
\(83\) | −2.26614 | − | 2.40196i | −0.248741 | − | 0.263650i | 0.590958 | − | 0.806702i | \(-0.298750\pi\) |
−0.839699 | + | 0.543053i | \(0.817268\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.529193 | − | 9.08589i | 0.0573990 | − | 0.985503i | ||||
\(86\) | 0.244477 | − | 0.0285753i | 0.0263626 | − | 0.00308135i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.38308 | + | 1.69905i | 0.360637 | + | 0.181119i | ||||
\(89\) | −10.7606 | + | 9.02919i | −1.14062 | + | 0.957092i | −0.999459 | − | 0.0328946i | \(-0.989527\pi\) |
−0.141159 | + | 0.989987i | \(0.545083\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.7536 | − | 9.02336i | −1.12729 | − | 0.945905i | ||||
\(92\) | 3.22043 | + | 7.46579i | 0.335753 | + | 0.778363i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.40362 | − | 0.332664i | −0.144772 | − | 0.0343117i | ||||
\(95\) | 0.0371112 | + | 0.123960i | 0.00380752 | + | 0.0127180i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.97567 | − | 0.815339i | −0.708272 | − | 0.0827851i | −0.245673 | − | 0.969353i | \(-0.579009\pi\) |
−0.462599 | + | 0.886568i | \(0.653083\pi\) | |||||||
\(98\) | −0.0292204 | + | 0.165717i | −0.00295170 | + | 0.0167399i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.164919 | + | 0.935301i | 0.0164919 | + | 0.0935301i | ||||
\(101\) | −0.631091 | − | 10.8354i | −0.0627959 | − | 1.07816i | −0.871642 | − | 0.490143i | \(-0.836944\pi\) |
0.808846 | − | 0.588021i | \(-0.200093\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.92595 | + | 11.4196i | −0.485368 | + | 1.12521i | 0.482986 | + | 0.875628i | \(0.339552\pi\) |
−0.968354 | + | 0.249582i | \(0.919707\pi\) | |||||||
\(104\) | −6.10163 | + | 3.06435i | −0.598314 | + | 0.300485i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.609016 | + | 0.144339i | −0.0591528 | + | 0.0140195i | ||||
\(107\) | −2.48915 | − | 4.31134i | −0.240636 | − | 0.416793i | 0.720260 | − | 0.693704i | \(-0.244023\pi\) |
−0.960896 | + | 0.276911i | \(0.910689\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.180626 | + | 0.312853i | −0.0173008 | + | 0.0299659i | −0.874546 | − | 0.484942i | \(-0.838841\pi\) |
0.857245 | + | 0.514908i | \(0.172174\pi\) | |||||||
\(110\) | 0.590678 | − | 1.97300i | 0.0563190 | − | 0.188119i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 7.23843 | + | 4.76079i | 0.683967 | + | 0.449852i | ||||
\(113\) | −11.7891 | − | 15.8355i | −1.10902 | − | 1.48968i | −0.852200 | − | 0.523216i | \(-0.824732\pi\) |
−0.256822 | − | 0.966459i | \(-0.582675\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.58706 | − | 4.99009i | 0.707497 | − | 0.465328i | ||||
\(116\) | 19.0595 | + | 6.93709i | 1.76963 | + | 0.644092i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.15060 | + | 0.782756i | −0.197979 | + | 0.0720585i | ||||
\(119\) | 6.51670 | − | 8.75344i | 0.597385 | − | 0.802427i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.12279 | − | 1.19008i | 0.102072 | − | 0.108189i | ||||
\(122\) | 2.54283 | − | 2.69524i | 0.230217 | − | 0.244016i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.23266 | + | 7.02869i | −0.469907 | + | 0.631195i | ||||
\(125\) | 10.9637 | − | 3.99045i | 0.980620 | − | 0.356916i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.5556 | + | 4.93382i | 1.20286 | + | 0.437806i | 0.864222 | − | 0.503111i | \(-0.167811\pi\) |
0.338639 | + | 0.940916i | \(0.390033\pi\) | |||||||
\(128\) | 7.44714 | − | 4.89806i | 0.658240 | − | 0.432932i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.21815 | + | 2.97949i | 0.194544 | + | 0.261318i | ||||
\(131\) | −2.55224 | − | 1.67864i | −0.222990 | − | 0.146663i | 0.433099 | − | 0.901346i | \(-0.357420\pi\) |
−0.656089 | + | 0.754683i | \(0.727791\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0444979 | + | 0.148633i | −0.00385846 | + | 0.0128881i | ||||
\(134\) | 0.192422 | − | 0.333285i | 0.0166228 | − | 0.0287915i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.65396 | − | 4.59679i | −0.227575 | − | 0.394171i | ||||
\(137\) | 2.53477 | − | 0.600750i | 0.216560 | − | 0.0513256i | −0.120904 | − | 0.992664i | \(-0.538579\pi\) |
0.337463 | + | 0.941339i | \(0.390431\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −16.9648 | + | 8.52003i | −1.43893 | + | 0.722660i | −0.985665 | − | 0.168714i | \(-0.946038\pi\) |
−0.453269 | + | 0.891374i | \(0.649742\pi\) | |||||||
\(140\) | 4.05909 | − | 9.41004i | 0.343056 | − | 0.795293i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.263216 | + | 4.51925i | 0.0220886 | + | 0.379247i | ||||
\(143\) | −2.93264 | − | 16.6318i | −0.245240 | − | 1.39082i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.93367 | − | 22.3090i | 0.326674 | − | 1.85266i | ||||
\(146\) | −3.06150 | − | 0.357838i | −0.253372 | − | 0.0296149i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.91723 | + | 6.40398i | 0.157595 | + | 0.526404i | ||||
\(149\) | 3.98717 | + | 0.944978i | 0.326642 | + | 0.0774156i | 0.390665 | − | 0.920533i | \(-0.372245\pi\) |
−0.0640232 | + | 0.997948i | \(0.520393\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.93753 | + | 9.12821i | 0.320431 | + | 0.742843i | 0.999958 | + | 0.00919237i | \(0.00292606\pi\) |
−0.679526 | + | 0.733651i | \(0.737815\pi\) | |||||||
\(152\) | 0.0578090 | + | 0.0485075i | 0.00468893 | + | 0.00393448i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.89172 | − | 1.58734i | 0.152439 | − | 0.127911i | ||||
\(155\) | 8.74570 | + | 4.39226i | 0.702472 | + | 0.352795i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −11.4715 | + | 1.34082i | −0.915523 | + | 0.107009i | −0.560790 | − | 0.827958i | \(-0.689502\pi\) |
−0.354733 | + | 0.934968i | \(0.615428\pi\) | |||||||
\(158\) | −0.0297224 | + | 0.510314i | −0.00236459 | + | 0.0405984i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −5.17514 | − | 5.48533i | −0.409131 | − | 0.433653i | ||||
\(161\) | 10.8885 | 0.858135 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.1333 | −1.10700 | −0.553502 | − | 0.832848i | \(-0.686709\pi\) | ||||
−0.553502 | + | 0.832848i | \(0.686709\pi\) | |||||||
\(164\) | 3.28462 | + | 3.48150i | 0.256486 | + | 0.271859i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.0609193 | + | 1.04594i | −0.00472825 | + | 0.0811810i | ||||
\(167\) | 6.65820 | − | 0.778232i | 0.515227 | − | 0.0602214i | 0.145493 | − | 0.989359i | \(-0.453523\pi\) |
0.369733 | + | 0.929138i | \(0.379449\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 15.6023 | + | 7.83578i | 1.20018 | + | 0.602753i | ||||
\(170\) | −2.21203 | + | 1.85612i | −0.169655 | + | 0.142358i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.12877 | + | 0.947150i | 0.0860679 | + | 0.0722195i | ||||
\(173\) | −5.85754 | − | 13.5793i | −0.445340 | − | 1.03242i | −0.982045 | − | 0.188645i | \(-0.939590\pi\) |
0.536705 | − | 0.843770i | \(-0.319669\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.23757 | + | 0.293310i | 0.0935517 | + | 0.0221722i | ||||
\(176\) | 2.98934 | + | 9.98511i | 0.225330 | + | 0.752656i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.42659 | + | 0.517395i | 0.331787 | + | 0.0387804i | ||||
\(179\) | −0.110050 | + | 0.624125i | −0.00822552 | + | 0.0466493i | −0.988644 | − | 0.150275i | \(-0.951984\pi\) |
0.980419 | + | 0.196924i | \(0.0630953\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.42311 | − | 13.7421i | −0.180108 | − | 1.02145i | −0.932081 | − | 0.362251i | \(-0.882008\pi\) |
0.751972 | − | 0.659195i | \(-0.229103\pi\) | |||||||
\(182\) | 0.258968 | + | 4.44631i | 0.0191960 | + | 0.329583i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.09767 | − | 4.86295i | 0.154642 | − | 0.358501i | ||||
\(185\) | 6.67192 | − | 3.35077i | 0.490529 | − | 0.246353i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 12.7749 | − | 3.02771i | 0.934195 | − | 0.221408i | ||||
\(188\) | −4.31771 | − | 7.47849i | −0.314901 | − | 0.545425i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.0205270 | − | 0.0355538i | 0.00148918 | − | 0.00257934i | ||||
\(191\) | −2.43589 | + | 8.13645i | −0.176255 | + | 0.588733i | 0.823515 | + | 0.567294i | \(0.192010\pi\) |
−0.999770 | + | 0.0214386i | \(0.993175\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.0711 | − | 7.28156i | −0.796914 | − | 0.524138i | 0.0845336 | − | 0.996421i | \(-0.473060\pi\) |
−0.881447 | + | 0.472282i | \(0.843430\pi\) | |||||||
\(194\) | 1.33063 | + | 1.78735i | 0.0955336 | + | 0.128324i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.841633 | + | 0.553551i | −0.0601167 | + | 0.0395394i | ||||
\(197\) | 7.09307 | + | 2.58167i | 0.505360 | + | 0.183936i | 0.582103 | − | 0.813115i | \(-0.302230\pi\) |
−0.0767431 | + | 0.997051i | \(0.524452\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.98595 | − | 0.722827i | 0.140780 | − | 0.0512399i | −0.270669 | − | 0.962672i | \(-0.587245\pi\) |
0.411449 | + | 0.911433i | \(0.365023\pi\) | |||||||
\(200\) | 0.369414 | − | 0.496209i | 0.0261215 | − | 0.0350873i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.36316 | + | 2.50480i | −0.166271 | + | 0.176237i | ||||
\(203\) | 18.6398 | − | 19.7570i | 1.30825 | − | 1.38667i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.19228 | − | 4.28798i | 0.222958 | − | 0.299485i | ||||
\(206\) | 3.70790 | − | 1.34957i | 0.258342 | − | 0.0940287i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −17.6649 | − | 6.42950i | −1.22484 | − | 0.445805i | ||||
\(209\) | −0.155949 | + | 0.102569i | −0.0107872 | + | 0.00709488i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.392021 | + | 0.526575i | 0.0269878 | + | 0.0362509i | 0.815412 | − | 0.578881i | \(-0.196510\pi\) |
−0.788424 | + | 0.615132i | \(0.789103\pi\) | |||||||
\(212\) | −3.13042 | − | 2.05891i | −0.214998 | − | 0.141407i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.453003 | + | 1.51313i | −0.0309666 | + | 0.103436i | ||||
\(215\) | 0.822857 | − | 1.42523i | 0.0561184 | − | 0.0971998i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.86733 | + | 10.1625i | 0.398301 | + | 0.689877i | ||||
\(218\) | 0.111526 | − | 0.0264323i | 0.00755352 | − | 0.00179022i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 11.0178 | − | 5.53333i | 0.742817 | − | 0.373057i | ||||
\(221\) | −9.37868 | + | 21.7422i | −0.630878 | + | 1.46254i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.30890 | − | 22.4729i | −0.0876503 | − | 1.50490i | −0.699904 | − | 0.714237i | \(-0.746774\pi\) |
0.612254 | − | 0.790661i | \(-0.290263\pi\) | |||||||
\(224\) | −1.57018 | − | 8.90495i | −0.104912 | − | 0.594987i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.08766 | + | 6.16845i | −0.0723503 | + | 0.410319i | ||||
\(227\) | 13.3179 | + | 1.55664i | 0.883942 | + | 0.103318i | 0.545937 | − | 0.837826i | \(-0.316174\pi\) |
0.338005 | + | 0.941144i | \(0.390248\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.78489 | − | 5.96194i | −0.117949 | − | 0.393976i | 0.878543 | − | 0.477663i | \(-0.158516\pi\) |
−0.996492 | + | 0.0836862i | \(0.973331\pi\) | |||||||
\(230\) | −2.80351 | − | 0.664443i | −0.184858 | − | 0.0438121i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.23277 | − | 12.1309i | −0.343548 | − | 0.796434i | ||||
\(233\) | −9.49107 | − | 7.96396i | −0.621781 | − | 0.521736i | 0.276582 | − | 0.960990i | \(-0.410798\pi\) |
−0.898363 | + | 0.439254i | \(0.855243\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7.38822 | + | 6.19946i | −0.481955 | + | 0.404408i | ||||
\(236\) | −12.2434 | − | 6.14885i | −0.796975 | − | 0.400256i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −3.43895 | + | 0.401956i | −0.222914 | + | 0.0260549i | ||||
\(239\) | 0.571683 | − | 9.81542i | 0.0369791 | − | 0.634907i | −0.928000 | − | 0.372580i | \(-0.878473\pi\) |
0.964979 | − | 0.262327i | \(-0.0844897\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.8975 | + | 12.6106i | 0.766384 | + | 0.812320i | 0.986605 | − | 0.163130i | \(-0.0521591\pi\) |
−0.220220 | + | 0.975450i | \(0.570678\pi\) | |||||||
\(242\) | −0.519105 | −0.0333693 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 22.1823 | 1.42008 | ||||||||
\(245\) | 0.772080 | + | 0.818357i | 0.0493264 | + | 0.0522829i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0195744 | − | 0.336079i | 0.00124549 | − | 0.0213842i | ||||
\(248\) | 5.66905 | − | 0.662617i | 0.359985 | − | 0.0420762i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.30799 | − | 1.66133i | −0.209216 | − | 0.105072i | ||||
\(251\) | −19.1764 | + | 16.0909i | −1.21040 | + | 1.01565i | −0.211132 | + | 0.977458i | \(0.567715\pi\) |
−0.999270 | + | 0.0381908i | \(0.987841\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.0348 | + | 8.42023i | 0.630885 | + | 0.529375i | ||||
\(254\) | −1.81280 | − | 4.20253i | −0.113745 | − | 0.263690i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.31055 | + | 1.96964i | 0.519409 | + | 0.123102i | ||||
\(257\) | −0.691327 | − | 2.30919i | −0.0431238 | − | 0.144044i | 0.933716 | − | 0.358013i | \(-0.116546\pi\) |
−0.976840 | + | 0.213970i | \(0.931361\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.89161 | + | 1.03928i | 0.552498 | + | 0.0645777i | ||||
\(260\) | −3.86134 | + | 21.8987i | −0.239470 | + | 1.35810i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.168301 | + | 0.954483i | 0.0103977 | + | 0.0589682i | ||||
\(263\) | 0.228089 | + | 3.91614i | 0.0140646 | + | 0.241480i | 0.998012 | + | 0.0630218i | \(0.0200737\pi\) |
−0.983948 | + | 0.178458i | \(0.942889\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.65748 | + | 3.84247i | −0.101818 | + | 0.236041i | ||||
\(266\) | 0.0439895 | − | 0.0220924i | 0.00269717 | − | 0.00135457i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.24174 | − | 0.531302i | 0.136936 | − | 0.0324545i | ||||
\(269\) | −5.54513 | − | 9.60445i | −0.338093 | − | 0.585594i | 0.645981 | − | 0.763353i | \(-0.276448\pi\) |
−0.984074 | + | 0.177760i | \(0.943115\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.397309 | + | 0.688159i | −0.0241348 | + | 0.0418027i | −0.877841 | − | 0.478953i | \(-0.841016\pi\) |
0.853706 | + | 0.520756i | \(0.174350\pi\) | |||||||
\(272\) | 4.19128 | − | 13.9998i | 0.254134 | − | 0.848865i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.690526 | − | 0.454166i | −0.0417162 | − | 0.0274372i | ||||
\(275\) | 0.913725 | + | 1.22735i | 0.0550997 | + | 0.0740117i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −24.3861 | + | 16.0390i | −1.46522 | + | 0.963688i | −0.468436 | + | 0.883497i | \(0.655182\pi\) |
−0.996780 | + | 0.0801905i | \(0.974447\pi\) | |||||||
\(278\) | 5.65991 | + | 2.06004i | 0.339459 | + | 0.123553i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.27272 | + | 2.28308i | −0.374867 | + | 0.136440i | ||||
\(281\) | −16.4750 | + | 22.1297i | −0.982814 | + | 1.32015i | −0.0356623 | + | 0.999364i | \(0.511354\pi\) |
−0.947152 | + | 0.320785i | \(0.896053\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.50574 | − | 3.71587i | 0.208395 | − | 0.220886i | −0.614743 | − | 0.788728i | \(-0.710740\pi\) |
0.823137 | + | 0.567842i | \(0.192222\pi\) | |||||||
\(284\) | −18.5971 | + | 19.7118i | −1.10354 | + | 1.16968i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.19973 | + | 4.29798i | −0.189204 | + | 0.254145i | ||||
\(287\) | 6.02327 | − | 2.19229i | 0.355542 | − | 0.129407i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.32268 | − | 0.481415i | −0.0778046 | − | 0.0283185i | ||||
\(290\) | −6.00486 | + | 3.94946i | −0.352618 | + | 0.231920i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −11.0189 | − | 14.8009i | −0.644832 | − | 0.866160i | ||||
\(293\) | 1.95792 | + | 1.28775i | 0.114383 | + | 0.0752310i | 0.605412 | − | 0.795913i | \(-0.293009\pi\) |
−0.491028 | + | 0.871144i | \(0.663379\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.38863 | + | 14.6590i | −0.255516 | + | 0.853482i | ||||
\(296\) | 2.17712 | − | 3.77089i | 0.126543 | − | 0.219178i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.650036 | − | 1.12590i | −0.0376556 | − | 0.0652214i | ||||
\(299\) | −22.9891 | + | 5.44853i | −1.32950 | + | 0.315096i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.76339 | − | 0.885607i | 0.101640 | − | 0.0510456i | ||||
\(302\) | 1.24928 | − | 2.89615i | 0.0718878 | − | 0.166655i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.0120807 | + | 0.207417i | 0.000692874 | + | 0.0118962i | ||||
\(305\) | −4.30210 | − | 24.3984i | −0.246337 | − | 1.39705i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.80743 | + | 15.9217i | −0.160228 | + | 0.908700i | 0.793620 | + | 0.608413i | \(0.208194\pi\) |
−0.953849 | + | 0.300287i | \(0.902918\pi\) | |||||||
\(308\) | 14.6833 | + | 1.71623i | 0.836657 | + | 0.0977911i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.890543 | − | 2.97462i | −0.0505794 | − | 0.168947i | ||||
\(311\) | −20.6275 | − | 4.88881i | −1.16968 | − | 0.277219i | −0.400527 | − | 0.916285i | \(-0.631173\pi\) |
−0.769152 | + | 0.639066i | \(0.779321\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.14335 | − | 4.96885i | −0.121149 | − | 0.280856i | 0.846840 | − | 0.531848i | \(-0.178502\pi\) |
−0.967989 | + | 0.250992i | \(0.919243\pi\) | |||||||
\(314\) | 2.80708 | + | 2.35542i | 0.158413 | + | 0.132924i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.34420 | + | 1.96701i | −0.131871 | + | 0.110653i | ||||
\(317\) | 7.79902 | + | 3.91682i | 0.438037 | + | 0.219990i | 0.654130 | − | 0.756382i | \(-0.273035\pi\) |
−0.216093 | + | 0.976373i | \(0.569331\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 32.4567 | − | 3.79364i | 1.81723 | − | 0.212403i | ||||
\(320\) | 0.701133 | − | 12.0380i | 0.0391945 | − | 0.672944i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.37072 | − | 2.51282i | −0.132115 | − | 0.140034i | ||||
\(323\) | 0.261706 | 0.0145617 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.75968 | −0.153080 | ||||||||
\(326\) | 3.07719 | + | 3.26163i | 0.170430 | + | 0.180645i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.181277 | − | 3.11241i | 0.0100094 | − | 0.171854i | ||||
\(329\) | −11.4862 | + | 1.34254i | −0.633252 | + | 0.0740166i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.5604 | − | 8.81917i | −0.965207 | − | 0.484745i | −0.104878 | − | 0.994485i | \(-0.533445\pi\) |
−0.860329 | + | 0.509740i | \(0.829742\pi\) | |||||||
\(332\) | −4.80468 | + | 4.03161i | −0.263691 | + | 0.221263i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.62927 | − | 1.36712i | −0.0891495 | − | 0.0748053i | ||||
\(335\) | −1.01915 | − | 2.36265i | −0.0556821 | − | 0.129086i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.14751 | − | 1.69399i | −0.389350 | − | 0.0922776i | 0.0312784 | − | 0.999511i | \(-0.490042\pi\) |
−0.420628 | + | 0.907233i | \(0.638190\pi\) | |||||||
\(338\) | −1.58873 | − | 5.30672i | −0.0864154 | − | 0.288647i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −17.1695 | − | 2.00683i | −0.931148 | − | 0.108836i | ||||
\(341\) | −2.45148 | + | 13.9030i | −0.132755 | + | 0.752892i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.32603 | + | 18.8629i | 0.179589 | + | 1.01850i | ||||
\(344\) | −0.0558067 | − | 0.958164i | −0.00300889 | − | 0.0516607i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.85845 | + | 4.30836i | −0.0999107 | + | 0.231619i | ||||
\(347\) | 16.2806 | − | 8.17644i | 0.873990 | − | 0.438934i | 0.0455174 | − | 0.998964i | \(-0.485506\pi\) |
0.828473 | + | 0.560029i | \(0.189210\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.6760 | + | 3.71527i | −0.839116 | + | 0.198874i | −0.627635 | − | 0.778508i | \(-0.715977\pi\) |
−0.211481 | + | 0.977382i | \(0.567829\pi\) | |||||||
\(350\) | −0.201764 | − | 0.349465i | −0.0107847 | − | 0.0186797i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.43923 | − | 9.42103i | 0.289912 | − | 0.502142i | ||||
\(353\) | 4.92839 | − | 16.4620i | 0.262312 | − | 0.876183i | −0.720795 | − | 0.693149i | \(-0.756223\pi\) |
0.983107 | − | 0.183034i | \(-0.0585919\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 25.2878 | + | 16.6321i | 1.34214 | + | 0.882739i | ||||
\(356\) | 15.9321 | + | 21.4005i | 0.844400 | + | 1.13423i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.167994 | − | 0.110492i | 0.00887878 | − | 0.00583967i | ||||
\(359\) | 26.7193 | + | 9.72505i | 1.41019 | + | 0.513268i | 0.931187 | − | 0.364543i | \(-0.118775\pi\) |
0.479007 | + | 0.877811i | \(0.340997\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.8507 | − | 6.49711i | 0.939509 | − | 0.341953i | ||||
\(362\) | −2.64379 | + | 3.55123i | −0.138955 | + | 0.186649i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −18.2970 | + | 19.3937i | −0.959023 | + | 1.01651i | ||||
\(365\) | −14.1426 | + | 14.9902i | −0.740256 | + | 0.784625i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.19676 | − | 8.32370i | 0.323468 | − | 0.434494i | −0.610409 | − | 0.792086i | \(-0.708995\pi\) |
0.933878 | + | 0.357593i | \(0.116402\pi\) | |||||||
\(368\) | 13.7018 | − | 4.98706i | 0.714258 | − | 0.259969i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.22594 | − | 0.810174i | −0.115721 | − | 0.0421190i | ||||
\(371\) | −4.19218 | + | 2.75724i | −0.217647 | + | 0.143149i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.89318 | + | 11.9456i | 0.460472 | + | 0.618521i | 0.970344 | − | 0.241730i | \(-0.0777147\pi\) |
−0.509872 | + | 0.860250i | \(0.670307\pi\) | |||||||
\(374\) | −3.48017 | − | 2.28895i | −0.179955 | − | 0.118359i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.61321 | + | 5.38850i | −0.0831950 | + | 0.277891i | ||||
\(377\) | −29.4683 | + | 51.0405i | −1.51769 | + | 2.62872i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.81217 | − | 10.0670i | −0.298551 | − | 0.517106i | 0.677253 | − | 0.735750i | \(-0.263170\pi\) |
−0.975805 | + | 0.218644i | \(0.929837\pi\) | |||||||
\(380\) | 0.239142 | − | 0.0566776i | 0.0122677 | − | 0.00290750i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.40807 | − | 1.20938i | 0.123207 | − | 0.0618771i | ||||
\(383\) | −11.2946 | + | 26.1838i | −0.577127 | + | 1.33793i | 0.340408 | + | 0.940278i | \(0.389435\pi\) |
−0.917535 | + | 0.397654i | \(0.869824\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.960026 | − | 16.4830i | −0.0489274 | − | 0.840052i | ||||
\(386\) | 0.730054 | + | 4.14034i | 0.0371588 | + | 0.210738i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.31635 | + | 13.1367i | −0.117595 | + | 0.666915i | ||||
\(389\) | −3.04961 | − | 0.356448i | −0.154621 | − | 0.0180726i | 0.0384301 | − | 0.999261i | \(-0.487764\pi\) |
−0.193051 | + | 0.981189i | \(0.561838\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.26758 | − | 17.5949i | −0.266393 | − | 0.889814i | ||||
\(392\) | 0.638468 | + | 0.151320i | 0.0322475 | + | 0.00764280i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.948562 | − | 2.19901i | −0.0477879 | − | 0.110785i | ||||
\(395\) | 2.61816 | + | 2.19690i | 0.131734 | + | 0.110538i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.05095 | + | 6.75555i | −0.404065 | + | 0.339051i | −0.822063 | − | 0.569397i | \(-0.807177\pi\) |
0.417997 | + | 0.908448i | \(0.362732\pi\) | |||||||
\(398\) | −0.599207 | − | 0.300933i | −0.0300355 | − | 0.0150844i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.69167 | − | 0.197728i | 0.0845836 | − | 0.00988640i | ||||
\(401\) | −1.54074 | + | 26.4534i | −0.0769407 | + | 1.32102i | 0.710092 | + | 0.704109i | \(0.248653\pi\) |
−0.787033 | + | 0.616912i | \(0.788384\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −17.4731 | − | 18.5204i | −0.870395 | − | 0.922565i | ||||
\(404\) | −20.6150 | −1.02563 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.61783 | −0.427696 | ||||||||
\(407\) | 7.39081 | + | 7.83380i | 0.366349 | + | 0.388307i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.53226 | + | 26.3079i | −0.0757654 | + | 1.30084i | 0.719463 | + | 0.694531i | \(0.244388\pi\) |
−0.795228 | + | 0.606311i | \(0.792649\pi\) | |||||||
\(410\) | −1.68461 | + | 0.196903i | −0.0831970 | + | 0.00972434i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 21.1090 | + | 10.6014i | 1.03997 | + | 0.522291i | ||||
\(413\) | −14.0551 | + | 11.7936i | −0.691605 | + | 0.580326i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.36621 | + | 4.50278i | 0.263417 | + | 0.221033i | ||||
\(416\) | 7.77112 | + | 18.0155i | 0.381011 | + | 0.883282i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0576250 | + | 0.0136574i | 0.00281853 | + | 0.000668004i | ||||
\(419\) | −2.24612 | − | 7.50255i | −0.109730 | − | 0.366523i | 0.885432 | − | 0.464768i | \(-0.153862\pi\) |
−0.995162 | + | 0.0982448i | \(0.968677\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 31.6365 | + | 3.69777i | 1.54187 | + | 0.180218i | 0.844131 | − | 0.536136i | \(-0.180117\pi\) |
0.697736 | + | 0.716355i | \(0.254191\pi\) | |||||||
\(422\) | 0.0361680 | − | 0.205119i | 0.00176063 | − | 0.00998504i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.423796 | + | 2.40347i | 0.0205813 | + | 0.116723i | ||||
\(425\) | −0.124740 | − | 2.14171i | −0.00605080 | − | 0.103888i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.7660 | − | 27.2766i | 0.569395 | − | 1.32001i | ||||
\(428\) | −8.44973 | + | 4.24361i | −0.408433 | + | 0.205123i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.508068 | + | 0.120414i | −0.0245012 | + | 0.00580690i | ||||
\(431\) | 16.6567 | + | 28.8502i | 0.802324 | + | 1.38967i | 0.918083 | + | 0.396389i | \(0.129737\pi\) |
−0.115759 | + | 0.993277i | \(0.536930\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.75793 | − | 4.77688i | 0.132538 | − | 0.229562i | −0.792116 | − | 0.610370i | \(-0.791021\pi\) |
0.924654 | + | 0.380808i | \(0.124354\pi\) | |||||||
\(434\) | 1.06780 | − | 3.56670i | 0.0512560 | − | 0.171207i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.573261 | + | 0.377040i | 0.0274542 | + | 0.0180569i | ||||
\(437\) | 0.155932 | + | 0.209453i | 0.00745922 | + | 0.0100195i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.76551 | − | 1.81890i | 0.131990 | − | 0.0868114i | −0.481797 | − | 0.876283i | \(-0.660016\pi\) |
0.613787 | + | 0.789472i | \(0.289645\pi\) | |||||||
\(440\) | −7.54647 | − | 2.74669i | −0.359764 | − | 0.130943i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.05960 | − | 2.56948i | 0.335791 | − | 0.122218i | ||||
\(443\) | 10.2627 | − | 13.7852i | 0.487595 | − | 0.654954i | −0.488432 | − | 0.872602i | \(-0.662431\pi\) |
0.976027 | + | 0.217648i | \(0.0698385\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 20.4486 | − | 21.6742i | 0.969355 | − | 1.02746i | ||||
\(446\) | −4.90125 | + | 5.19502i | −0.232081 | + | 0.245991i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 8.63404 | − | 11.5975i | 0.407920 | − | 0.547931i | ||||
\(449\) | 16.5392 | − | 6.01977i | 0.780532 | − | 0.284090i | 0.0791375 | − | 0.996864i | \(-0.474783\pi\) |
0.701394 | + | 0.712773i | \(0.252561\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.24636 | + | 2.63746i | 0.341218 | + | 0.124193i | ||||
\(452\) | −31.3279 | + | 20.6047i | −1.47354 | + | 0.969164i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.54043 | − | 3.41239i | −0.119228 | − | 0.160152i | ||||
\(455\) | 24.8797 | + | 16.3636i | 1.16638 | + | 0.767140i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.12647 | + | 17.1236i | −0.239806 | + | 0.801009i | 0.750350 | + | 0.661041i | \(0.229885\pi\) |
−0.990156 | + | 0.139968i | \(0.955300\pi\) | |||||||
\(458\) | −0.987261 | + | 1.70999i | −0.0461317 | + | 0.0799024i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −8.62394 | − | 14.9371i | −0.402093 | − | 0.696446i | ||||
\(461\) | −4.89168 | + | 1.15935i | −0.227828 | + | 0.0539963i | −0.342944 | − | 0.939356i | \(-0.611424\pi\) |
0.115116 | + | 0.993352i | \(0.463276\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.3751 | − | 7.72167i | 0.714542 | − | 0.358857i | −0.0541001 | − | 0.998536i | \(-0.517229\pi\) |
0.768642 | + | 0.639679i | \(0.220933\pi\) | |||||||
\(464\) | 14.4069 | − | 33.3989i | 0.668823 | − | 1.55051i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.228564 | + | 3.92429i | 0.0105880 | + | 0.181789i | ||||
\(467\) | −6.50441 | − | 36.8883i | −0.300988 | − | 1.70699i | −0.641812 | − | 0.766862i | \(-0.721817\pi\) |
0.340824 | − | 0.940127i | \(-0.389294\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.535748 | − | 3.03838i | 0.0247385 | − | 0.140299i | ||||
\(470\) | 3.03931 | + | 0.355244i | 0.140193 | + | 0.0163862i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.55947 | + | 8.54921i | 0.117809 | + | 0.393510i | ||||
\(473\) | 2.30999 | + | 0.547477i | 0.106213 | + | 0.0251730i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.0120808 | + | 0.0280065i | 0.000554306 | + | 0.00128503i | ||||
\(476\) | −15.8779 | − | 13.3232i | −0.727764 | − | 0.610666i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.38964 | + | 2.00515i | −0.109300 | + | 0.0917134i | ||||
\(479\) | −3.05867 | − | 1.53612i | −0.139754 | − | 0.0701872i | 0.377548 | − | 0.925990i | \(-0.376767\pi\) |
−0.517302 | + | 0.855803i | \(0.673064\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −19.2931 | + | 2.25504i | −0.879689 | + | 0.102821i | ||||
\(482\) | 0.319834 | − | 5.49133i | 0.0145680 | − | 0.250123i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.13255 | − | 2.26037i | −0.0969341 | − | 0.102744i | ||||
\(485\) | 14.8983 | 0.676498 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.43342 | −0.246212 | −0.123106 | − | 0.992394i | \(-0.539285\pi\) | ||||
−0.123106 | + | 0.992394i | \(0.539285\pi\) | |||||||
\(488\) | −9.91535 | − | 10.5097i | −0.448847 | − | 0.475750i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.0207554 | − | 0.356357i | 0.000937634 | − | 0.0160986i | ||||
\(491\) | −3.94699 | + | 0.461337i | −0.178125 | + | 0.0208199i | −0.204688 | − | 0.978827i | \(-0.565618\pi\) |
0.0265626 | + | 0.999647i | \(0.491544\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −40.9431 | − | 20.5624i | −1.84398 | − | 0.926084i | ||||
\(494\) | −0.0818212 | + | 0.0686561i | −0.00368131 | + | 0.00308898i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.0379 | + | 10.1010i | 0.540516 | + | 0.453547i | ||||
\(497\) | 14.3744 | + | 33.3236i | 0.644779 | + | 1.49477i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.8781 | − | 4.94820i | −0.934632 | − | 0.221512i | −0.265037 | − | 0.964238i | \(-0.585384\pi\) |
−0.669595 | + | 0.742727i | \(0.733532\pi\) | |||||||
\(500\) | −6.35559 | − | 21.2292i | −0.284231 | − | 0.949397i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.88862 | + | 0.922048i | 0.352086 | + | 0.0411530i | ||||
\(503\) | 4.28340 | − | 24.2924i | 0.190987 | − | 1.08314i | −0.727031 | − | 0.686605i | \(-0.759100\pi\) |
0.918018 | − | 0.396538i | \(-0.129789\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.99812 | + | 22.6745i | 0.177914 | + | 1.00900i | ||||
\(506\) | −0.241659 | − | 4.14912i | −0.0107430 | − | 0.184451i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 10.8522 | − | 25.1581i | 0.481487 | − | 1.11621i | ||||
\(509\) | −6.56544 | + | 3.29729i | −0.291008 | + | 0.146150i | −0.588314 | − | 0.808633i | \(-0.700208\pi\) |
0.297306 | + | 0.954782i | \(0.403912\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −24.0447 | + | 5.69869i | −1.06367 | + | 0.252095i | ||||
\(512\) | −10.2684 | − | 17.7854i | −0.453804 | − | 0.786011i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.382388 | + | 0.662316i | −0.0168664 | + | 0.0292135i | ||||
\(515\) | 7.56652 | − | 25.2739i | 0.333421 | − | 1.11370i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11.6238 | − | 7.64511i | −0.511215 | − | 0.336232i | ||||
\(518\) | −1.69610 | − | 2.27826i | −0.0745224 | − | 0.100101i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 12.1013 | − | 7.95914i | 0.530676 | − | 0.349031i | ||||
\(521\) | −25.5909 | − | 9.31432i | −1.12116 | − | 0.408068i | −0.286082 | − | 0.958205i | \(-0.592353\pi\) |
−0.835074 | + | 0.550137i | \(0.814575\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.3006 | + | 5.20499i | −0.625321 | + | 0.227598i | −0.635193 | − | 0.772353i | \(-0.719080\pi\) |
0.00987267 | + | 0.999951i | \(0.496857\pi\) | |||||||
\(524\) | −3.46476 | + | 4.65399i | −0.151359 | + | 0.203310i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.854094 | − | 0.905286i | 0.0372403 | − | 0.0394724i | ||||
\(527\) | 13.5833 | − | 14.3975i | 0.591699 | − | 0.627165i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.79137 | + | 3.74946i | −0.121364 | + | 0.163020i | ||||
\(530\) | 1.24763 | − | 0.454101i | 0.0541936 | − | 0.0197249i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.276913 | + | 0.100788i | 0.0120057 | + | 0.00436972i | ||||
\(533\) | −11.6200 | + | 7.64262i | −0.503320 | + | 0.331039i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.30632 | + | 8.47086i | 0.272646 | + | 0.366227i | ||||
\(536\) | −1.25377 | − | 0.824615i | −0.0541544 | − | 0.0356179i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.00916 | + | 3.37084i | −0.0435081 | + | 0.145327i | ||||
\(539\) | −0.811481 | + | 1.40553i | −0.0349530 | + | 0.0605403i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.31159 | − | 14.3961i | −0.357343 | − | 0.618937i | 0.630173 | − | 0.776455i | \(-0.282984\pi\) |
−0.987516 | + | 0.157518i | \(0.949651\pi\) | |||||||
\(542\) | 0.245316 | − | 0.0581409i | 0.0105372 | − | 0.00249737i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −13.6300 | + | 6.84527i | −0.584383 | + | 0.293488i | ||||
\(545\) | 0.303527 | − | 0.703655i | 0.0130017 | − | 0.0301413i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.656042 | − | 11.2638i | −0.0280503 | − | 0.481605i | −0.982856 | − | 0.184375i | \(-0.940974\pi\) |
0.954806 | − | 0.297231i | \(-0.0960630\pi\) | |||||||
\(548\) | −0.859166 | − | 4.87257i | −0.0367018 | − | 0.208146i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.0843006 | − | 0.478093i | 0.00359459 | − | 0.0203859i | ||||
\(551\) | 0.646983 | + | 0.0756214i | 0.0275624 | + | 0.00322158i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.17533 | + | 3.92589i | 0.0499803 | + | 0.166946i | ||||
\(554\) | 9.01092 | + | 2.13563i | 0.382837 | + | 0.0907341i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 14.2815 | + | 33.1082i | 0.605671 | + | 1.40410i | ||||
\(557\) | 22.3339 | + | 18.7404i | 0.946318 | + | 0.794055i | 0.978674 | − | 0.205421i | \(-0.0658565\pi\) |
−0.0323557 | + | 0.999476i | \(0.510301\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.27993 | + | 2.75219i | −0.138726 | + | 0.116405i | ||||
\(560\) | −16.4236 | − | 8.24823i | −0.694023 | − | 0.348551i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.69407 | − | 1.01619i | 0.366737 | − | 0.0428655i | ||||
\(563\) | 1.24814 | − | 21.4297i | 0.0526028 | − | 0.903154i | −0.864034 | − | 0.503433i | \(-0.832070\pi\) |
0.916637 | − | 0.399721i | \(-0.130893\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 28.7390 | + | 30.4615i | 1.20906 | + | 1.28153i | ||||
\(566\) | −1.62083 | −0.0681286 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 17.6519 | 0.740659 | ||||||||
\(569\) | 1.83992 | + | 1.95021i | 0.0771336 | + | 0.0817569i | 0.764791 | − | 0.644279i | \(-0.222842\pi\) |
−0.687657 | + | 0.726035i | \(0.741361\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.165178 | − | 2.83600i | 0.00691248 | − | 0.118683i | −0.993087 | − | 0.117383i | \(-0.962549\pi\) |
0.999999 | − | 0.00129937i | \(-0.000413604\pi\) | |||||||
\(572\) | −31.8599 | + | 3.72388i | −1.33213 | + | 0.155703i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.81736 | − | 0.912711i | −0.0758550 | − | 0.0380958i | ||||
\(575\) | 1.63976 | − | 1.37592i | 0.0683828 | − | 0.0573800i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.53692 | + | 3.80692i | 0.188874 | + | 0.158484i | 0.732322 | − | 0.680959i | \(-0.238437\pi\) |
−0.543447 | + | 0.839443i | \(0.682881\pi\) | |||||||
\(578\) | 0.176883 | + | 0.410061i | 0.00735736 | + | 0.0170563i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −41.8662 | − | 9.92246i | −1.73840 | − | 0.412008i | ||||
\(581\) | 2.40898 | + | 8.04654i | 0.0999412 | + | 0.333827i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.99572 | − | 0.700800i | −0.248318 | − | 0.0290242i | ||||
\(584\) | −2.08710 | + | 11.8365i | −0.0863646 | + | 0.489798i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.129110 | − | 0.732221i | −0.00533350 | − | 0.0302478i | ||||
\(587\) | 0.655164 | + | 11.2487i | 0.0270415 | + | 0.464285i | 0.984463 | + | 0.175592i | \(0.0561838\pi\) |
−0.957422 | + | 0.288694i | \(0.906779\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.111463 | + | 0.258400i | −0.00459274 | + | 0.0106472i | ||||
\(590\) | 4.33849 | − | 2.17887i | 0.178613 | − | 0.0897027i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 11.6650 | − | 2.76465i | 0.479428 | − | 0.113627i | ||||
\(593\) | 4.74627 | + | 8.22078i | 0.194906 | + | 0.337587i | 0.946870 | − | 0.321617i | \(-0.104226\pi\) |
−0.751964 | + | 0.659205i | \(0.770893\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11.5748 | + | 20.0481i | −0.474519 | + | 0.821892i | ||||
\(596\) | 2.23212 | − | 7.45582i | 0.0914314 | − | 0.305402i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 6.26275 | + | 4.11907i | 0.256103 | + | 0.168441i | ||||
\(599\) | 14.8996 | + | 20.0136i | 0.608780 | + | 0.817733i | 0.994484 | − | 0.104889i | \(-0.0334488\pi\) |
−0.385704 | + | 0.922623i | \(0.626041\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.59732 | − | 6.31226i | 0.391483 | − | 0.257482i | −0.338474 | − | 0.940976i | \(-0.609911\pi\) |
0.729957 | + | 0.683494i | \(0.239540\pi\) | |||||||
\(602\) | −0.588315 | − | 0.214129i | −0.0239779 | − | 0.00872725i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 17.7431 | − | 6.45795i | 0.721955 | − | 0.262770i | ||||
\(605\) | −2.07260 | + | 2.78398i | −0.0842630 | + | 0.113185i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −27.3496 | + | 28.9889i | −1.11009 | + | 1.17662i | −0.127303 | + | 0.991864i | \(0.540632\pi\) |
−0.982784 | + | 0.184759i | \(0.940849\pi\) | |||||||
\(608\) | 0.148810 | − | 0.157730i | 0.00603505 | − | 0.00639678i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.69391 | + | 6.30501i | −0.190051 | + | 0.255283i | ||||
\(611\) | 23.5792 | − | 8.58211i | 0.953911 | − | 0.347195i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.9065 | − | 6.15347i | −0.682848 | − | 0.248536i | −0.0227782 | − | 0.999741i | \(-0.507251\pi\) |
−0.660070 | + | 0.751204i | \(0.729473\pi\) | |||||||
\(614\) | 4.28562 | − | 2.81869i | 0.172953 | − | 0.113753i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.75019 | − | 7.72385i | −0.231682 | − | 0.311203i | ||||
\(617\) | −15.3291 | − | 10.0821i | −0.617124 | − | 0.405889i | 0.202098 | − | 0.979365i | \(-0.435224\pi\) |
−0.819222 | + | 0.573476i | \(0.805594\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.8881 | − | 43.0492i | 0.518016 | − | 1.73029i | −0.152409 | − | 0.988317i | \(-0.548703\pi\) |
0.670425 | − | 0.741977i | \(-0.266112\pi\) | |||||||
\(620\) | 9.29411 | − | 16.0979i | 0.373260 | − | 0.646506i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.36294 | + | 5.82478i | 0.134842 | + | 0.233553i | ||||
\(623\) | 34.7659 | − | 8.23968i | 1.39287 | − | 0.330116i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.8832 | + | 9.98569i | −0.795326 | + | 0.399428i | ||||
\(626\) | −0.680030 | + | 1.57649i | −0.0271795 | + | 0.0630091i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.27549 | + | 21.8994i | 0.0508978 | + | 0.873881i | ||||
\(629\) | −2.62214 | − | 14.8709i | −0.104552 | − | 0.592941i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.90645 | − | 33.4972i | 0.235132 | − | 1.33350i | −0.607203 | − | 0.794547i | \(-0.707708\pi\) |
0.842335 | − | 0.538954i | \(-0.181180\pi\) | |||||||
\(632\) | 1.97978 | + | 0.231403i | 0.0787515 | + | 0.00920473i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.794146 | − | 2.65263i | −0.0315396 | − | 0.105349i | ||||
\(635\) | −29.7762 | − | 7.05709i | −1.18163 | − | 0.280052i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.15938 | − | 2.68774i | −0.0459362 | − | 0.106492i | ||||
\(638\) | −7.94218 | − | 6.66428i | −0.314434 | − | 0.263841i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −14.4847 | + | 12.1541i | −0.572556 | + | 0.480432i | ||||
\(641\) | −0.281153 | − | 0.141200i | −0.0111049 | − | 0.00557707i | 0.443238 | − | 0.896404i | \(-0.353830\pi\) |
−0.454343 | + | 0.890827i | \(0.650126\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 32.9098 | − | 3.84660i | 1.29783 | − | 0.151695i | 0.561027 | − | 0.827797i | \(-0.310406\pi\) |
0.736808 | + | 0.676102i | \(0.236332\pi\) | |||||||
\(644\) | 1.20249 | − | 20.6460i | 0.0473848 | − | 0.813565i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.0569804 | − | 0.0603957i | −0.00224187 | − | 0.00237624i | ||||
\(647\) | 14.0510 | 0.552403 | 0.276201 | − | 0.961100i | \(-0.410924\pi\) | ||||
0.276201 | + | 0.961100i | \(0.410924\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −22.0733 | −0.866453 | ||||||||
\(650\) | 0.600857 | + | 0.636871i | 0.0235675 | + | 0.0249801i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.56083 | + | 26.7984i | −0.0611268 | + | 1.04951i | ||||
\(653\) | 44.6094 | − | 5.21409i | 1.74570 | − | 0.204043i | 0.817451 | − | 0.575999i | \(-0.195387\pi\) |
0.928251 | + | 0.371955i | \(0.121313\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.79089 | + | 2.90830i | 0.226269 | + | 0.113637i | ||||
\(656\) | 6.57544 | − | 5.51745i | 0.256728 | − | 0.215420i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.81067 | + | 2.35843i | 0.109571 | + | 0.0919413i | ||||
\(659\) | −13.2766 | − | 30.7786i | −0.517182 | − | 1.19896i | −0.954107 | − | 0.299465i | \(-0.903192\pi\) |
0.436925 | − | 0.899498i | \(-0.356067\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 15.7899 | + | 3.74227i | 0.614156 | + | 0.145558i | 0.525909 | − | 0.850541i | \(-0.323725\pi\) |
0.0882470 | + | 0.996099i | \(0.471874\pi\) | |||||||
\(662\) | 1.78811 | + | 5.97271i | 0.0694969 | + | 0.232136i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.05778 | + | 0.474286i | 0.157472 | + | 0.0184059i | ||||
\(665\) | 0.0571518 | − | 0.324124i | 0.00221625 | − | 0.0125690i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.93821 | − | 45.0198i | −0.307369 | − | 1.74317i | ||||
\(668\) | −0.740315 | − | 12.7107i | −0.0286436 | − | 0.491792i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.323350 | + | 0.749610i | −0.0124921 | + | 0.0289599i | ||||
\(671\) | 31.9368 | − | 16.0393i | 1.23291 | − | 0.619190i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.91409 | − | 0.453649i | 0.0737829 | − | 0.0174869i | −0.193559 | − | 0.981089i | \(-0.562003\pi\) |
0.267342 | + | 0.963602i | \(0.413855\pi\) | |||||||
\(674\) | 1.16527 | + | 2.01831i | 0.0448846 | + | 0.0777424i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 16.5807 | − | 28.7186i | 0.637719 | − | 1.10456i | ||||
\(677\) | −5.88502 | + | 19.6573i | −0.226180 | + | 0.755493i | 0.767280 | + | 0.641312i | \(0.221609\pi\) |
−0.993460 | + | 0.114181i | \(0.963576\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.9249 | + | 9.81628i | 0.572766 | + | 0.376714i | ||||
\(680\) | 6.72385 | + | 9.03170i | 0.257848 | + | 0.346350i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.74226 | − | 2.46132i | 0.143298 | − | 0.0942489i | ||||
\(683\) | 20.1405 | + | 7.33055i | 0.770656 | + | 0.280496i | 0.697271 | − | 0.716808i | \(-0.254398\pi\) |
0.0733852 | + | 0.997304i | \(0.476620\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.19273 | + | 1.89000i | −0.198404 | + | 0.0722131i | ||||
\(686\) | 3.62895 | − | 4.87452i | 0.138554 | − | 0.186110i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.81339 | − | 1.92208i | 0.0691348 | − | 0.0732786i | ||||
\(689\) | 7.47134 | − | 7.91916i | 0.284636 | − | 0.301696i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.5776 | − | 22.2675i | 0.630640 | − | 0.847096i | −0.365862 | − | 0.930669i | \(-0.619226\pi\) |
0.996502 | + | 0.0835728i | \(0.0266331\pi\) | |||||||
\(692\) | −26.3949 | + | 9.60696i | −1.00338 | + | 0.365202i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.43167 | − | 1.97696i | −0.206183 | − | 0.0750446i | ||||
\(695\) | 33.6460 | − | 22.1293i | 1.27627 | − | 0.839414i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.45646 | − | 8.67253i | −0.244556 | − | 0.328495i | ||||
\(698\) | 4.27048 | + | 2.80874i | 0.161640 | + | 0.106312i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.692825 | − | 2.31420i | 0.0261863 | − | 0.0874685i | ||||
\(701\) | −0.354873 | + | 0.614659i | −0.0134034 | + | 0.0232153i | −0.872649 | − | 0.488347i | \(-0.837600\pi\) |
0.859246 | + | 0.511563i | \(0.170933\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.107343 | + | 0.185923i | 0.00404851 | + | 0.00701223i | ||||
\(704\) | 16.9256 | − | 4.01145i | 0.637909 | − | 0.151187i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.87209 | + | 2.44686i | −0.183364 | + | 0.0920886i | ||||
\(707\) | −10.9346 | + | 25.3493i | −0.411238 | + | 0.953357i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.17399 | + | 20.1566i | 0.0440900 | + | 0.756996i | 0.945819 | + | 0.324694i | \(0.105261\pi\) |
−0.901729 | + | 0.432302i | \(0.857702\pi\) | |||||||
\(710\) | −1.66754 | − | 9.45710i | −0.0625817 | − | 0.354919i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.01771 | − | 17.1143i | 0.113093 | − | 0.641385i | ||||
\(713\) | 19.6161 | + | 2.29280i | 0.734630 | + | 0.0858659i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.2749 | + | 34.3205i | 0.384259 | + | 1.28351i | ||||
\(716\) | 1.17126 | + | 0.277595i | 0.0437722 | + | 0.0103742i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.57320 | − | 8.28361i | −0.133351 | − | 0.309142i | ||||
\(719\) | 12.8502 | + | 10.7826i | 0.479231 | + | 0.402123i | 0.850148 | − | 0.526543i | \(-0.176512\pi\) |
−0.370917 | + | 0.928666i | \(0.620957\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 24.2326 | − | 20.3336i | 0.902471 | − | 0.757263i | ||||
\(722\) | −5.38595 | − | 2.70493i | −0.200444 | − | 0.100667i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −26.3244 | + | 3.07688i | −0.978339 | + | 0.114351i | ||||
\(725\) | 0.310479 | − | 5.33072i | 0.0115309 | − | 0.197978i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.2361 | + | 16.1493i | 0.565075 | + | 0.598945i | 0.945402 | − | 0.325908i | \(-0.105670\pi\) |
−0.380327 | + | 0.924852i | \(0.624188\pi\) | |||||||
\(728\) | 17.3671 | 0.643666 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 6.53862 | 0.242005 | ||||||||
\(731\) | −2.28415 | − | 2.42106i | −0.0844823 | − | 0.0895461i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.226456 | + | 3.88810i | −0.00836434 | + | 0.143610i | 0.991540 | + | 0.129799i | \(0.0414333\pi\) |
−0.999905 | + | 0.0138108i | \(0.995604\pi\) | |||||||
\(734\) | −3.27012 | + | 0.382222i | −0.120702 | + | 0.0141081i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −13.5997 | − | 6.83001i | −0.501290 | − | 0.251757i | ||||
\(737\) | 2.84336 | − | 2.38586i | 0.104737 | − | 0.0878844i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.2233 | − | 12.7738i | −0.559997 | − | 0.469894i | 0.318312 | − | 0.947986i | \(-0.396884\pi\) |
−0.878310 | + | 0.478092i | \(0.841328\pi\) | |||||||
\(740\) | −5.61664 | − | 13.0208i | −0.206472 | − | 0.478655i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.54906 | + | 0.367134i | 0.0568678 | + | 0.0134779i | ||||
\(743\) | −1.78348 | − | 5.95723i | −0.0654294 | − | 0.218549i | 0.919022 | − | 0.394206i | \(-0.128980\pi\) |
−0.984452 | + | 0.175657i | \(0.943795\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −8.63357 | − | 1.00912i | −0.316310 | − | 0.0369713i | ||||
\(746\) | 0.820489 | − | 4.65322i | 0.0300402 | − | 0.170367i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −4.33010 | − | 24.5572i | −0.158324 | − | 0.897901i | ||||
\(749\) | 0.736262 | + | 12.6411i | 0.0269024 | + | 0.461897i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.38259 | + | 14.7965i | −0.232904 | + | 0.539933i | −0.994085 | − | 0.108608i | \(-0.965361\pi\) |
0.761181 | + | 0.648540i | \(0.224620\pi\) | |||||||
\(752\) | −13.8390 | + | 6.95021i | −0.504657 | + | 0.253448i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 18.1950 | − | 4.31230i | 0.662623 | − | 0.157045i | ||||
\(755\) | −10.5442 | − | 18.2632i | −0.383744 | − | 0.664665i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 17.7618 | − | 30.7643i | 0.645563 | − | 1.11815i | −0.338608 | − | 0.940928i | \(-0.609956\pi\) |
0.984171 | − | 0.177221i | \(-0.0567106\pi\) | |||||||
\(758\) | −1.05776 | + | 3.53317i | −0.0384196 | + | 0.128330i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.133748 | − | 0.0879672i | −0.00485154 | − | 0.00319091i | ||||
\(761\) | −12.1544 | − | 16.3261i | −0.440595 | − | 0.591822i | 0.525248 | − | 0.850949i | \(-0.323973\pi\) |
−0.965843 | + | 0.259127i | \(0.916565\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.767697 | − | 0.504922i | 0.0277925 | − | 0.0182794i | ||||
\(764\) | 15.1587 | + | 5.51732i | 0.548423 | + | 0.199610i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.50177 | − | 3.09439i | 0.307181 | − | 0.111805i | ||||
\(767\) | 23.7734 | − | 31.9332i | 0.858406 | − | 1.15304i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.7783 | − | 13.5442i | 0.460797 | − | 0.488416i | −0.454755 | − | 0.890617i | \(-0.650273\pi\) |
0.915552 | + | 0.402201i | \(0.131755\pi\) | |||||||
\(770\) | −3.59488 | + | 3.81035i | −0.129550 | + | 0.137315i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −15.0294 | + | 20.1880i | −0.540920 | + | 0.726582i | ||||
\(773\) | 3.69733 | − | 1.34572i | 0.132984 | − | 0.0484021i | −0.274671 | − | 0.961538i | \(-0.588569\pi\) |
0.407655 | + | 0.913136i | \(0.366347\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.16778 | + | 0.789007i | 0.0778689 | + | 0.0283420i | ||||
\(776\) | 7.25936 | − | 4.77456i | 0.260596 | − | 0.171397i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.581721 | + | 0.781387i | 0.0208557 | + | 0.0280141i | ||||
\(779\) | 0.128429 | + | 0.0844689i | 0.00460144 | + | 0.00302641i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.5221 | + | 41.8268i | −0.448077 | + | 1.49668i | ||||
\(782\) | −2.91361 | + | 5.04653i | −0.104191 | + | 0.180463i | ||||
\(783\) |