Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), 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: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 25.3 | ||
Character | \(\chi\) | \(=\) | 49.25 |
Dual form | 49.2.g.a.2.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{8}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.681025 | − | 0.210069i | 0.481558 | − | 0.148541i | −0.0444658 | − | 0.999011i | \(-0.514159\pi\) |
0.526023 | + | 0.850470i | \(0.323682\pi\) | |||||||
\(3\) | −0.953694 | − | 2.42997i | −0.550616 | − | 1.40295i | −0.887241 | − | 0.461307i | \(-0.847381\pi\) |
0.336625 | − | 0.941639i | \(-0.390714\pi\) | |||||||
\(4\) | −1.23281 | + | 0.840516i | −0.616405 | + | 0.420258i | ||||
\(5\) | 2.65874 | + | 0.400741i | 1.18903 | + | 0.179217i | 0.713609 | − | 0.700544i | \(-0.247059\pi\) |
0.475416 | + | 0.879761i | \(0.342297\pi\) | |||||||
\(6\) | −1.15995 | − | 1.45453i | −0.473548 | − | 0.593810i | ||||
\(7\) | −0.518691 | + | 2.59441i | −0.196047 | + | 0.980595i | ||||
\(8\) | −1.55172 | + | 1.94579i | −0.548615 | + | 0.687941i | ||||
\(9\) | −2.79608 | + | 2.59438i | −0.932027 | + | 0.864795i | ||||
\(10\) | 1.89485 | − | 0.285603i | 0.599205 | − | 0.0903157i | ||||
\(11\) | −1.45308 | − | 1.34826i | −0.438120 | − | 0.406516i | 0.430032 | − | 0.902813i | \(-0.358502\pi\) |
−0.868153 | + | 0.496297i | \(0.834693\pi\) | |||||||
\(12\) | 3.21816 | + | 2.19410i | 0.929002 | + | 0.633383i | ||||
\(13\) | 0.408132 | − | 1.78814i | 0.113196 | − | 0.495942i | −0.886267 | − | 0.463174i | \(-0.846711\pi\) |
0.999463 | − | 0.0327681i | \(-0.0104323\pi\) | |||||||
\(14\) | 0.191762 | + | 1.87582i | 0.0512504 | + | 0.501334i | ||||
\(15\) | −1.56184 | − | 6.84285i | −0.403265 | − | 1.76682i | ||||
\(16\) | 0.442224 | − | 1.12677i | 0.110556 | − | 0.281692i | ||||
\(17\) | −0.176437 | + | 2.35439i | −0.0427923 | + | 0.571024i | 0.934061 | + | 0.357114i | \(0.116239\pi\) |
−0.976853 | + | 0.213910i | \(0.931380\pi\) | |||||||
\(18\) | −1.35920 | + | 2.35421i | −0.320367 | + | 0.554893i | ||||
\(19\) | −3.23628 | − | 5.60540i | −0.742453 | − | 1.28597i | −0.951375 | − | 0.308035i | \(-0.900329\pi\) |
0.208922 | − | 0.977932i | \(-0.433005\pi\) | |||||||
\(20\) | −3.61455 | + | 1.74068i | −0.808239 | + | 0.389227i | ||||
\(21\) | 6.79902 | − | 1.21387i | 1.48367 | − | 0.264887i | ||||
\(22\) | −1.27281 | − | 0.612954i | −0.271365 | − | 0.130682i | ||||
\(23\) | 0.536538 | + | 7.15961i | 0.111876 | + | 1.49288i | 0.717181 | + | 0.696887i | \(0.245432\pi\) |
−0.605305 | + | 0.795994i | \(0.706949\pi\) | |||||||
\(24\) | 6.20808 | + | 1.91494i | 1.26722 | + | 0.390886i | ||||
\(25\) | 2.13045 | + | 0.657156i | 0.426090 | + | 0.131431i | ||||
\(26\) | −0.0976844 | − | 1.30351i | −0.0191575 | − | 0.255639i | ||||
\(27\) | 1.91516 | + | 0.922293i | 0.368573 | + | 0.177495i | ||||
\(28\) | −1.54119 | − | 3.63438i | −0.291258 | − | 0.686834i | ||||
\(29\) | 2.13759 | − | 1.02941i | 0.396940 | − | 0.191156i | −0.224756 | − | 0.974415i | \(-0.572158\pi\) |
0.621696 | + | 0.783259i | \(0.286444\pi\) | |||||||
\(30\) | −2.50112 | − | 4.33206i | −0.456640 | − | 0.790923i | ||||
\(31\) | 2.98175 | − | 5.16455i | 0.535538 | − | 0.927580i | −0.463599 | − | 0.886045i | \(-0.653442\pi\) |
0.999137 | − | 0.0415345i | \(-0.0132247\pi\) | |||||||
\(32\) | 0.436438 | − | 5.82386i | 0.0771520 | − | 1.02952i | ||||
\(33\) | −1.89045 | + | 4.81678i | −0.329084 | + | 0.838493i | ||||
\(34\) | 0.374425 | + | 1.64046i | 0.0642134 | + | 0.281337i | ||||
\(35\) | −2.41875 | + | 6.69000i | −0.408844 | + | 1.13082i | ||||
\(36\) | 1.26642 | − | 5.54853i | 0.211069 | − | 0.924756i | ||||
\(37\) | −1.06208 | − | 0.724115i | −0.174605 | − | 0.119044i | 0.472864 | − | 0.881135i | \(-0.343220\pi\) |
−0.647469 | + | 0.762092i | \(0.724173\pi\) | |||||||
\(38\) | −3.38151 | − | 3.13758i | −0.548553 | − | 0.508983i | ||||
\(39\) | −4.73438 | + | 0.713592i | −0.758107 | + | 0.114266i | ||||
\(40\) | −4.90537 | + | 4.55152i | −0.775607 | + | 0.719659i | ||||
\(41\) | −1.15490 | + | 1.44820i | −0.180365 | + | 0.226171i | −0.863792 | − | 0.503848i | \(-0.831917\pi\) |
0.683427 | + | 0.730019i | \(0.260489\pi\) | |||||||
\(42\) | 4.37531 | − | 2.25493i | 0.675125 | − | 0.347944i | ||||
\(43\) | 6.12433 | + | 7.67966i | 0.933951 | + | 1.17114i | 0.985020 | + | 0.172443i | \(0.0551659\pi\) |
−0.0510683 | + | 0.998695i | \(0.516263\pi\) | |||||||
\(44\) | 2.92461 | + | 0.440814i | 0.440901 | + | 0.0664552i | ||||
\(45\) | −8.47373 | + | 5.77729i | −1.26319 | + | 0.861228i | ||||
\(46\) | 1.86940 | + | 4.76316i | 0.275629 | + | 0.702290i | ||||
\(47\) | 4.45387 | − | 1.37384i | 0.649664 | − | 0.200395i | 0.0476298 | − | 0.998865i | \(-0.484833\pi\) |
0.602034 | + | 0.798470i | \(0.294357\pi\) | |||||||
\(48\) | −3.15976 | −0.456072 | ||||||||
\(49\) | −6.46192 | − | 2.69140i | −0.923131 | − | 0.384485i | ||||
\(50\) | 1.58894 | 0.224710 | ||||||||
\(51\) | 5.88938 | − | 1.81663i | 0.824678 | − | 0.254379i | ||||
\(52\) | 0.999814 | + | 2.54748i | 0.138649 | + | 0.353273i | ||||
\(53\) | −0.302191 | + | 0.206030i | −0.0415091 | + | 0.0283004i | −0.583897 | − | 0.811828i | \(-0.698473\pi\) |
0.542388 | + | 0.840128i | \(0.317520\pi\) | |||||||
\(54\) | 1.49802 | + | 0.225790i | 0.203855 | + | 0.0307261i | ||||
\(55\) | −3.32306 | − | 4.16699i | −0.448082 | − | 0.561877i | ||||
\(56\) | −4.24332 | − | 5.03505i | −0.567037 | − | 0.672837i | ||||
\(57\) | −10.5345 | + | 13.2099i | −1.39534 | + | 1.74969i | ||||
\(58\) | 1.23950 | − | 1.15009i | 0.162755 | − | 0.151014i | ||||
\(59\) | −4.96613 | + | 0.748524i | −0.646535 | + | 0.0974495i | −0.464120 | − | 0.885772i | \(-0.653629\pi\) |
−0.182415 | + | 0.983222i | \(0.558391\pi\) | |||||||
\(60\) | 7.67698 | + | 7.12319i | 0.991094 | + | 0.919600i | ||||
\(61\) | 0.00167016 | + | 0.00113870i | 0.000213842 | + | 0.000145795i | 0.563427 | − | 0.826166i | \(-0.309483\pi\) |
−0.563213 | + | 0.826312i | \(0.690435\pi\) | |||||||
\(62\) | 0.945740 | − | 4.14356i | 0.120109 | − | 0.526233i | ||||
\(63\) | −5.28059 | − | 8.59986i | −0.665292 | − | 1.08348i | ||||
\(64\) | −0.387487 | − | 1.69769i | −0.0484359 | − | 0.212211i | ||||
\(65\) | 1.80170 | − | 4.59066i | 0.223473 | − | 0.569401i | ||||
\(66\) | −0.275588 | + | 3.67747i | −0.0339226 | + | 0.452665i | ||||
\(67\) | 5.23522 | − | 9.06766i | 0.639583 | − | 1.10779i | −0.345941 | − | 0.938256i | \(-0.612440\pi\) |
0.985524 | − | 0.169535i | \(-0.0542264\pi\) | |||||||
\(68\) | −1.76139 | − | 3.05082i | −0.213600 | − | 0.369966i | ||||
\(69\) | 16.8860 | − | 8.13185i | 2.03283 | − | 0.978959i | ||||
\(70\) | −0.241873 | + | 5.06416i | −0.0289093 | + | 0.605283i | ||||
\(71\) | 7.12839 | + | 3.43285i | 0.845984 | + | 0.407405i | 0.806085 | − | 0.591799i | \(-0.201582\pi\) |
0.0398988 | + | 0.999204i | \(0.487296\pi\) | |||||||
\(72\) | −0.709404 | − | 9.46634i | −0.0836041 | − | 1.11562i | ||||
\(73\) | −1.23221 | − | 0.380088i | −0.144220 | − | 0.0444859i | 0.221805 | − | 0.975091i | \(-0.428805\pi\) |
−0.366025 | + | 0.930605i | \(0.619281\pi\) | |||||||
\(74\) | −0.875418 | − | 0.270031i | −0.101765 | − | 0.0313904i | ||||
\(75\) | −0.434924 | − | 5.80366i | −0.0502207 | − | 0.670149i | ||||
\(76\) | 8.70115 | + | 4.19025i | 0.998090 | + | 0.480655i | ||||
\(77\) | 4.25164 | − | 3.07055i | 0.484520 | − | 0.349922i | ||||
\(78\) | −3.07433 | + | 1.48052i | −0.348099 | + | 0.167636i | ||||
\(79\) | −0.184407 | − | 0.319402i | −0.0207474 | − | 0.0359355i | 0.855465 | − | 0.517860i | \(-0.173271\pi\) |
−0.876213 | + | 0.481925i | \(0.839938\pi\) | |||||||
\(80\) | 1.62730 | − | 2.81857i | 0.181938 | − | 0.315125i | ||||
\(81\) | −0.440460 | + | 5.87753i | −0.0489400 | + | 0.653059i | ||||
\(82\) | −0.482296 | + | 1.22887i | −0.0532607 | + | 0.135706i | ||||
\(83\) | 3.44861 | + | 15.1093i | 0.378534 | + | 1.65846i | 0.701964 | + | 0.712213i | \(0.252307\pi\) |
−0.323430 | + | 0.946252i | \(0.604836\pi\) | |||||||
\(84\) | −7.36163 | + | 7.21115i | −0.803219 | + | 0.786801i | ||||
\(85\) | −1.41260 | + | 6.18901i | −0.153218 | + | 0.671293i | ||||
\(86\) | 5.78408 | + | 3.94352i | 0.623713 | + | 0.425240i | ||||
\(87\) | −4.54003 | − | 4.21254i | −0.486743 | − | 0.451631i | ||||
\(88\) | 4.87821 | − | 0.735271i | 0.520019 | − | 0.0783802i | ||||
\(89\) | 4.91741 | − | 4.56269i | 0.521244 | − | 0.483644i | −0.375111 | − | 0.926980i | \(-0.622395\pi\) |
0.896356 | + | 0.443336i | \(0.146205\pi\) | |||||||
\(90\) | −4.55720 | + | 5.71455i | −0.480371 | + | 0.602366i | ||||
\(91\) | 4.42748 | + | 1.98636i | 0.464126 | + | 0.208227i | ||||
\(92\) | −6.67921 | − | 8.37547i | −0.696356 | − | 0.873203i | ||||
\(93\) | −15.3934 | − | 2.32018i | −1.59622 | − | 0.240591i | ||||
\(94\) | 2.74460 | − | 1.87124i | 0.283084 | − | 0.193003i | ||||
\(95\) | −6.35812 | − | 16.2002i | −0.652329 | − | 1.66211i | ||||
\(96\) | −14.5680 | + | 4.49365i | −1.48685 | + | 0.458631i | ||||
\(97\) | −5.61724 | −0.570344 | −0.285172 | − | 0.958476i | \(-0.592051\pi\) | ||||
−0.285172 | + | 0.958476i | \(0.592051\pi\) | |||||||
\(98\) | −4.96611 | − | 0.475463i | −0.501653 | − | 0.0480291i | ||||
\(99\) | 7.56084 | 0.759893 | ||||||||
\(100\) | −3.17879 | + | 0.980527i | −0.317879 | + | 0.0980527i | ||||
\(101\) | 3.16511 | + | 8.06456i | 0.314940 | + | 0.802454i | 0.997436 | + | 0.0715644i | \(0.0227992\pi\) |
−0.682496 | + | 0.730889i | \(0.739106\pi\) | |||||||
\(102\) | 3.62920 | − | 2.47434i | 0.359344 | − | 0.244997i | ||||
\(103\) | −10.3883 | − | 1.56578i | −1.02359 | − | 0.154281i | −0.384268 | − | 0.923222i | \(-0.625546\pi\) |
−0.639320 | + | 0.768940i | \(0.720784\pi\) | |||||||
\(104\) | 2.84605 | + | 3.56883i | 0.279078 | + | 0.349953i | ||||
\(105\) | 18.5633 | − | 0.502714i | 1.81159 | − | 0.0490598i | ||||
\(106\) | −0.162519 | + | 0.203793i | −0.0157853 | + | 0.0197941i | ||||
\(107\) | 3.96753 | − | 3.68133i | 0.383556 | − | 0.355888i | −0.464706 | − | 0.885465i | \(-0.653840\pi\) |
0.848262 | + | 0.529577i | \(0.177649\pi\) | |||||||
\(108\) | −3.13623 | + | 0.472711i | −0.301784 | + | 0.0454867i | ||||
\(109\) | −0.955678 | − | 0.886740i | −0.0915374 | − | 0.0849343i | 0.633077 | − | 0.774089i | \(-0.281792\pi\) |
−0.724614 | + | 0.689155i | \(0.757982\pi\) | |||||||
\(110\) | −3.13844 | − | 2.13975i | −0.299239 | − | 0.204018i | ||||
\(111\) | −0.746679 | + | 3.27141i | −0.0708716 | + | 0.310509i | ||||
\(112\) | 2.69392 | + | 1.73175i | 0.254551 | + | 0.163635i | ||||
\(113\) | −2.51605 | − | 11.0235i | −0.236690 | − | 1.03701i | −0.943959 | − | 0.330062i | \(-0.892930\pi\) |
0.707269 | − | 0.706944i | \(-0.249927\pi\) | |||||||
\(114\) | −4.39931 | + | 11.2093i | −0.412033 | + | 1.04984i | ||||
\(115\) | −1.44263 | + | 19.2506i | −0.134526 | + | 1.79512i | ||||
\(116\) | −1.77001 | + | 3.06574i | −0.164341 | + | 0.284647i | ||||
\(117\) | 3.49796 | + | 6.05865i | 0.323387 | + | 0.560122i | ||||
\(118\) | −3.22482 | + | 1.55299i | −0.296869 | + | 0.142964i | ||||
\(119\) | −6.01674 | − | 1.67895i | −0.551554 | − | 0.153909i | ||||
\(120\) | 15.7383 | + | 7.57916i | 1.43670 | + | 0.691880i | ||||
\(121\) | −0.528397 | − | 7.05097i | −0.0480361 | − | 0.640998i | ||||
\(122\) | 0.00137663 | 0.000424633i | 0.000124634 | 3.84445e-5i | ||||||
\(123\) | 4.62051 | + | 1.42524i | 0.416618 | + | 0.128509i | ||||
\(124\) | 0.664948 | + | 8.87312i | 0.0597141 | + | 0.796830i | ||||
\(125\) | −6.71154 | − | 3.23211i | −0.600299 | − | 0.289089i | ||||
\(126\) | −5.40278 | − | 4.74744i | −0.481318 | − | 0.422935i | ||||
\(127\) | −18.5652 | + | 8.94051i | −1.64739 | + | 0.793342i | −0.647891 | + | 0.761733i | \(0.724349\pi\) |
−0.999500 | + | 0.0316083i | \(0.989937\pi\) | |||||||
\(128\) | 5.21967 | + | 9.04073i | 0.461358 | + | 0.799095i | ||||
\(129\) | 12.8206 | − | 22.2060i | 1.12879 | − | 1.95513i | ||||
\(130\) | 0.262651 | − | 3.50483i | 0.0230360 | − | 0.307394i | ||||
\(131\) | 0.710525 | − | 1.81039i | 0.0620789 | − | 0.158174i | −0.896469 | − | 0.443107i | \(-0.853876\pi\) |
0.958547 | + | 0.284933i | \(0.0919713\pi\) | |||||||
\(132\) | −1.71802 | − | 7.52712i | −0.149534 | − | 0.655152i | ||||
\(133\) | 16.2213 | − | 5.48876i | 1.40657 | − | 0.475936i | ||||
\(134\) | 1.66049 | − | 7.27506i | 0.143444 | − | 0.628470i | ||||
\(135\) | 4.72232 | + | 3.21962i | 0.406433 | + | 0.277101i | ||||
\(136\) | −4.30738 | − | 3.99666i | −0.369354 | − | 0.342711i | ||||
\(137\) | 4.53783 | − | 0.683968i | 0.387693 | − | 0.0584353i | 0.0476962 | − | 0.998862i | \(-0.484812\pi\) |
0.339997 | + | 0.940427i | \(0.389574\pi\) | |||||||
\(138\) | 9.79152 | − | 9.08520i | 0.833510 | − | 0.773384i | ||||
\(139\) | −0.538375 | + | 0.675100i | −0.0456643 | + | 0.0572613i | −0.804139 | − | 0.594441i | \(-0.797373\pi\) |
0.758475 | + | 0.651702i | \(0.225945\pi\) | |||||||
\(140\) | −2.64119 | − | 10.2805i | −0.223221 | − | 0.868861i | ||||
\(141\) | −7.58602 | − | 9.51257i | −0.638858 | − | 0.801103i | ||||
\(142\) | 5.57575 | + | 0.840409i | 0.467906 | + | 0.0705255i | ||||
\(143\) | −3.00394 | + | 2.04805i | −0.251202 | + | 0.171266i | ||||
\(144\) | 1.68677 | + | 4.29783i | 0.140565 | + | 0.358153i | ||||
\(145\) | 6.09581 | − | 1.88031i | 0.506230 | − | 0.156151i | ||||
\(146\) | −0.919013 | −0.0760581 | ||||||||
\(147\) | −0.377326 | + | 18.2691i | −0.0311213 | + | 1.50681i | ||||
\(148\) | 1.91798 | 0.157657 | ||||||||
\(149\) | −16.2289 | + | 5.00594i | −1.32952 | + | 0.410103i | −0.876502 | − | 0.481398i | \(-0.840129\pi\) |
−0.453018 | + | 0.891501i | \(0.649653\pi\) | |||||||
\(150\) | −1.51536 | − | 3.86107i | −0.123729 | − | 0.315255i | ||||
\(151\) | −10.9425 | + | 7.46046i | −0.890487 | + | 0.607123i | −0.919774 | − | 0.392448i | \(-0.871628\pi\) |
0.0292878 | + | 0.999571i | \(0.490676\pi\) | |||||||
\(152\) | 15.9287 | + | 2.40087i | 1.29199 | + | 0.194736i | ||||
\(153\) | −5.61486 | − | 7.04082i | −0.453935 | − | 0.569216i | ||||
\(154\) | 2.25045 | − | 2.98426i | 0.181346 | − | 0.240479i | ||||
\(155\) | 9.99735 | − | 12.5363i | 0.803007 | − | 1.00694i | ||||
\(156\) | 5.23680 | − | 4.85904i | 0.419280 | − | 0.389035i | ||||
\(157\) | −0.476592 | + | 0.0718346i | −0.0380362 | + | 0.00573303i | −0.168033 | − | 0.985781i | \(-0.553741\pi\) |
0.129997 | + | 0.991514i | \(0.458503\pi\) | |||||||
\(158\) | −0.192682 | − | 0.178783i | −0.0153290 | − | 0.0142232i | ||||
\(159\) | 0.788846 | + | 0.537826i | 0.0625595 | + | 0.0426524i | ||||
\(160\) | 3.49423 | − | 15.3092i | 0.276243 | − | 1.21030i | ||||
\(161\) | −18.8532 | − | 2.32163i | −1.48584 | − | 0.182970i | ||||
\(162\) | 0.934719 | + | 4.09527i | 0.0734385 | + | 0.321755i | ||||
\(163\) | 0.779678 | − | 1.98659i | 0.0610691 | − | 0.155602i | −0.897082 | − | 0.441864i | \(-0.854318\pi\) |
0.958151 | + | 0.286262i | \(0.0924128\pi\) | |||||||
\(164\) | 0.206539 | − | 2.75607i | 0.0161280 | − | 0.215213i | ||||
\(165\) | −6.95648 | + | 12.0490i | −0.541562 | + | 0.938012i | ||||
\(166\) | 5.52258 | + | 9.56540i | 0.428636 | + | 0.742419i | ||||
\(167\) | 2.87300 | − | 1.38357i | 0.222320 | − | 0.107064i | −0.319409 | − | 0.947617i | \(-0.603484\pi\) |
0.541729 | + | 0.840553i | \(0.317770\pi\) | |||||||
\(168\) | −8.18822 | + | 15.1130i | −0.631735 | + | 1.16600i | ||||
\(169\) | 8.68171 | + | 4.18089i | 0.667824 | + | 0.321607i | ||||
\(170\) | 0.338099 | + | 4.51162i | 0.0259310 | + | 0.346025i | ||||
\(171\) | 23.5915 | + | 7.27700i | 1.80408 | + | 0.556486i | ||||
\(172\) | −14.0050 | − | 4.31998i | −1.06787 | − | 0.329395i | ||||
\(173\) | 0.651912 | + | 8.69916i | 0.0495639 | + | 0.661385i | 0.965557 | + | 0.260191i | \(0.0837855\pi\) |
−0.915993 | + | 0.401194i | \(0.868595\pi\) | |||||||
\(174\) | −3.97680 | − | 1.91513i | −0.301480 | − | 0.145185i | ||||
\(175\) | −2.80998 | + | 5.18639i | −0.212414 | + | 0.392054i | ||||
\(176\) | −2.16176 | + | 1.04105i | −0.162949 | + | 0.0784722i | ||||
\(177\) | 6.55506 | + | 11.3537i | 0.492709 | + | 0.853396i | ||||
\(178\) | 2.39040 | − | 4.14030i | 0.179168 | − | 0.310329i | ||||
\(179\) | −1.20777 | + | 16.1166i | −0.0902730 | + | 1.20461i | 0.749624 | + | 0.661864i | \(0.230234\pi\) |
−0.839897 | + | 0.542746i | \(0.817385\pi\) | |||||||
\(180\) | 5.59060 | − | 14.2446i | 0.416699 | − | 1.06173i | ||||
\(181\) | −4.51931 | − | 19.8004i | −0.335917 | − | 1.47175i | −0.807468 | − | 0.589911i | \(-0.799163\pi\) |
0.471551 | − | 0.881839i | \(-0.343694\pi\) | |||||||
\(182\) | 3.43250 | + | 0.422685i | 0.254434 | + | 0.0313315i | ||||
\(183\) | 0.00117418 | − | 0.00514442i | 8.67978e−5 | − | 0.000380286i | ||||
\(184\) | −14.7637 | − | 10.0657i | −1.08839 | − | 0.742053i | ||||
\(185\) | −2.53362 | − | 2.35085i | −0.186275 | − | 0.172838i | ||||
\(186\) | −10.9707 | + | 1.65356i | −0.804410 | + | 0.121245i | ||||
\(187\) | 3.43071 | − | 3.18324i | 0.250879 | − | 0.232781i | ||||
\(188\) | −4.33605 | + | 5.43723i | −0.316239 | + | 0.396551i | ||||
\(189\) | −3.38618 | + | 4.49033i | −0.246309 | + | 0.326623i | ||||
\(190\) | −7.73319 | − | 9.69712i | −0.561025 | − | 0.703503i | ||||
\(191\) | 21.9602 | + | 3.30997i | 1.58899 | + | 0.239501i | 0.883225 | − | 0.468950i | \(-0.155367\pi\) |
0.705760 | + | 0.708451i | \(0.250605\pi\) | |||||||
\(192\) | −3.75580 | + | 2.56066i | −0.271052 | + | 0.184800i | ||||
\(193\) | 6.59912 | + | 16.8143i | 0.475015 | + | 1.21032i | 0.944832 | + | 0.327555i | \(0.106225\pi\) |
−0.469817 | + | 0.882764i | \(0.655680\pi\) | |||||||
\(194\) | −3.82548 | + | 1.18001i | −0.274654 | + | 0.0847194i | ||||
\(195\) | −12.8734 | −0.921886 | ||||||||
\(196\) | 10.2285 | − | 2.11336i | 0.730606 | − | 0.150955i | ||||
\(197\) | 10.5838 | 0.754067 | 0.377034 | − | 0.926200i | \(-0.376944\pi\) | ||||
0.377034 | + | 0.926200i | \(0.376944\pi\) | |||||||
\(198\) | 5.14912 | − | 1.58829i | 0.365932 | − | 0.112875i | ||||
\(199\) | −4.91203 | − | 12.5157i | −0.348205 | − | 0.887212i | −0.992479 | − | 0.122417i | \(-0.960936\pi\) |
0.644274 | − | 0.764795i | \(-0.277160\pi\) | |||||||
\(200\) | −4.58454 | + | 3.12569i | −0.324176 | + | 0.221019i | ||||
\(201\) | −27.0270 | − | 4.07366i | −1.90633 | − | 0.287334i | ||||
\(202\) | 3.84963 | + | 4.82728i | 0.270859 | + | 0.339646i | ||||
\(203\) | 1.56196 | + | 6.07972i | 0.109628 | + | 0.426713i | ||||
\(204\) | −5.73358 | + | 7.18968i | −0.401431 | + | 0.503378i | ||||
\(205\) | −3.65094 | + | 3.38758i | −0.254993 | + | 0.236599i | ||||
\(206\) | −7.40361 | + | 1.11591i | −0.515834 | + | 0.0777494i | ||||
\(207\) | −20.0750 | − | 18.6268i | −1.39531 | − | 1.29466i | ||||
\(208\) | −1.83434 | − | 1.25063i | −0.127188 | − | 0.0867156i | ||||
\(209\) | −2.85497 | + | 12.5085i | −0.197483 | + | 0.865228i | ||||
\(210\) | 12.5365 | − | 4.24192i | 0.865098 | − | 0.292720i | ||||
\(211\) | −3.34638 | − | 14.6614i | −0.230374 | − | 1.00934i | −0.949330 | − | 0.314280i | \(-0.898237\pi\) |
0.718956 | − | 0.695055i | \(-0.244620\pi\) | |||||||
\(212\) | 0.199372 | − | 0.507993i | 0.0136930 | − | 0.0348891i | ||||
\(213\) | 1.54343 | − | 20.5957i | 0.105754 | − | 1.41119i | ||||
\(214\) | 1.92866 | − | 3.34053i | 0.131840 | − | 0.228354i | ||||
\(215\) | 13.2054 | + | 22.8725i | 0.900604 | + | 1.55989i | ||||
\(216\) | −4.76638 | + | 2.29537i | −0.324311 | + | 0.156180i | ||||
\(217\) | 11.8523 | + | 10.4147i | 0.804589 | + | 0.706995i | ||||
\(218\) | −0.837117 | − | 0.403134i | −0.0566967 | − | 0.0273037i | ||||
\(219\) | 0.251552 | + | 3.35673i | 0.0169983 | + | 0.226827i | ||||
\(220\) | 7.59913 | + | 2.34402i | 0.512333 | + | 0.158034i | ||||
\(221\) | 4.13798 | + | 1.27640i | 0.278351 | + | 0.0858598i | ||||
\(222\) | 0.178714 | + | 2.38477i | 0.0119945 | + | 0.160055i | ||||
\(223\) | 18.1294 | + | 8.73067i | 1.21404 | + | 0.584649i | 0.927645 | − | 0.373464i | \(-0.121830\pi\) |
0.286392 | + | 0.958113i | \(0.407544\pi\) | |||||||
\(224\) | 14.8831 | + | 4.15308i | 0.994419 | + | 0.277490i | ||||
\(225\) | −7.66182 | + | 3.68974i | −0.510788 | + | 0.245983i | ||||
\(226\) | −4.02919 | − | 6.97876i | −0.268018 | − | 0.464220i | ||||
\(227\) | −11.0311 | + | 19.1064i | −0.732160 | + | 1.26814i | 0.223799 | + | 0.974635i | \(0.428154\pi\) |
−0.955958 | + | 0.293502i | \(0.905179\pi\) | |||||||
\(228\) | 1.88397 | − | 25.1398i | 0.124769 | − | 1.66492i | ||||
\(229\) | 1.75146 | − | 4.46264i | 0.115740 | − | 0.294900i | −0.861252 | − | 0.508179i | \(-0.830319\pi\) |
0.976991 | + | 0.213279i | \(0.0684143\pi\) | |||||||
\(230\) | 3.06147 | + | 13.4132i | 0.201867 | + | 0.884438i | ||||
\(231\) | −11.5161 | − | 7.40301i | −0.757706 | − | 0.487082i | ||||
\(232\) | −1.31392 | + | 5.75665i | −0.0862629 | + | 0.377942i | ||||
\(233\) | −6.87774 | − | 4.68916i | −0.450576 | − | 0.307197i | 0.316687 | − | 0.948530i | \(-0.397429\pi\) |
−0.767263 | + | 0.641333i | \(0.778382\pi\) | |||||||
\(234\) | 3.65493 | + | 3.39128i | 0.238930 | + | 0.221695i | ||||
\(235\) | 12.3922 | − | 1.86783i | 0.808381 | − | 0.121844i | ||||
\(236\) | 5.49315 | − | 5.09690i | 0.357574 | − | 0.331780i | ||||
\(237\) | −0.600270 | + | 0.752715i | −0.0389917 | + | 0.0488941i | ||||
\(238\) | −4.45025 | + | 0.120518i | −0.288467 | + | 0.00781199i | ||||
\(239\) | −2.32992 | − | 2.92162i | −0.150710 | − | 0.188984i | 0.700745 | − | 0.713411i | \(-0.252851\pi\) |
−0.851455 | + | 0.524427i | \(0.824279\pi\) | |||||||
\(240\) | −8.40099 | − | 1.26625i | −0.542281 | − | 0.0817358i | ||||
\(241\) | 8.97618 | − | 6.11986i | 0.578207 | − | 0.394215i | −0.238607 | − | 0.971116i | \(-0.576691\pi\) |
0.816814 | + | 0.576902i | \(0.195738\pi\) | |||||||
\(242\) | −1.84104 | − | 4.69089i | −0.118347 | − | 0.301542i | ||||
\(243\) | 20.7960 | − | 6.41472i | 1.33406 | − | 0.411504i | ||||
\(244\) | −0.00301609 | −0.000193085 | ||||||||
\(245\) | −16.1020 | − | 9.74528i | −1.02872 | − | 0.622603i | ||||
\(246\) | 3.44608 | 0.219714 | ||||||||
\(247\) | −11.3441 | + | 3.49919i | −0.721807 | + | 0.222648i | ||||
\(248\) | 5.42230 | + | 13.8158i | 0.344316 | + | 0.877303i | ||||
\(249\) | 33.4264 | − | 22.7897i | 2.11831 | − | 1.44424i | ||||
\(250\) | −5.24969 | − | 0.791264i | −0.332020 | − | 0.0500439i | ||||
\(251\) | −8.18810 | − | 10.2676i | −0.516828 | − | 0.648082i | 0.453104 | − | 0.891458i | \(-0.350317\pi\) |
−0.969932 | + | 0.243376i | \(0.921745\pi\) | |||||||
\(252\) | 13.7383 | + | 6.16358i | 0.865431 | + | 0.388269i | ||||
\(253\) | 8.87339 | − | 11.1269i | 0.557865 | − | 0.699541i | ||||
\(254\) | −10.7652 | + | 9.98867i | −0.675470 | + | 0.626745i | ||||
\(255\) | 16.3863 | − | 2.46984i | 1.02615 | − | 0.154667i | ||||
\(256\) | 8.00690 | + | 7.42932i | 0.500431 | + | 0.464332i | ||||
\(257\) | −11.2217 | − | 7.65079i | −0.699988 | − | 0.477243i | 0.160290 | − | 0.987070i | \(-0.448757\pi\) |
−0.860277 | + | 0.509827i | \(0.829710\pi\) | |||||||
\(258\) | 4.06640 | − | 17.8161i | 0.253163 | − | 1.10918i | ||||
\(259\) | 2.42954 | − | 2.37988i | 0.150964 | − | 0.147879i | ||||
\(260\) | 1.63737 | + | 7.17377i | 0.101545 | + | 0.444898i | ||||
\(261\) | −3.30619 | + | 8.42402i | −0.204648 | + | 0.521434i | ||||
\(262\) | 0.103580 | − | 1.38218i | 0.00639920 | − | 0.0853914i | ||||
\(263\) | 3.86916 | − | 6.70158i | 0.238583 | − | 0.413237i | −0.721725 | − | 0.692180i | \(-0.756651\pi\) |
0.960308 | + | 0.278943i | \(0.0899839\pi\) | |||||||
\(264\) | −6.43901 | − | 11.1527i | −0.396293 | − | 0.686400i | ||||
\(265\) | −0.886012 | + | 0.426681i | −0.0544273 | + | 0.0262108i | ||||
\(266\) | 9.89412 | − | 7.14557i | 0.606648 | − | 0.438123i | ||||
\(267\) | −15.7769 | − | 7.59776i | −0.965532 | − | 0.464976i | ||||
\(268\) | 1.16748 | + | 15.5790i | 0.0713154 | + | 0.951638i | ||||
\(269\) | −14.1497 | − | 4.36462i | −0.862725 | − | 0.266116i | −0.168349 | − | 0.985727i | \(-0.553844\pi\) |
−0.694376 | + | 0.719612i | \(0.744320\pi\) | |||||||
\(270\) | 3.89236 | + | 1.20063i | 0.236882 | + | 0.0730683i | ||||
\(271\) | −0.646740 | − | 8.63014i | −0.0392866 | − | 0.524244i | −0.981780 | − | 0.190020i | \(-0.939145\pi\) |
0.942494 | − | 0.334224i | \(-0.108474\pi\) | |||||||
\(272\) | 2.57483 | + | 1.23997i | 0.156122 | + | 0.0751843i | ||||
\(273\) | 0.604330 | − | 12.6530i | 0.0365757 | − | 0.765797i | ||||
\(274\) | 2.94670 | − | 1.41905i | 0.178017 | − | 0.0857282i | ||||
\(275\) | −2.20969 | − | 3.82730i | −0.133250 | − | 0.230795i | ||||
\(276\) | −13.9822 | + | 24.2179i | −0.841632 | + | 1.45775i | ||||
\(277\) | −1.18371 | + | 15.7956i | −0.0711225 | + | 0.949063i | 0.841499 | + | 0.540258i | \(0.181673\pi\) |
−0.912622 | + | 0.408805i | \(0.865946\pi\) | |||||||
\(278\) | −0.224829 | + | 0.572856i | −0.0134844 | + | 0.0343576i | ||||
\(279\) | 5.06160 | + | 22.1763i | 0.303030 | + | 1.32766i | ||||
\(280\) | −9.26413 | − | 15.0874i | −0.553638 | − | 0.901643i | ||||
\(281\) | −0.674788 | + | 2.95644i | −0.0402545 | + | 0.176366i | −0.991059 | − | 0.133426i | \(-0.957402\pi\) |
0.950804 | + | 0.309792i | \(0.100259\pi\) | |||||||
\(282\) | −7.16457 | − | 4.88472i | −0.426644 | − | 0.290881i | ||||
\(283\) | −8.27632 | − | 7.67930i | −0.491976 | − | 0.456487i | 0.394746 | − | 0.918790i | \(-0.370833\pi\) |
−0.886722 | + | 0.462303i | \(0.847023\pi\) | |||||||
\(284\) | −11.6733 | + | 1.75947i | −0.692684 | + | 0.104405i | ||||
\(285\) | −33.3024 | + | 30.9001i | −1.97266 | + | 1.83036i | ||||
\(286\) | −1.61553 | + | 2.02581i | −0.0955281 | + | 0.119788i | ||||
\(287\) | −3.15819 | − | 3.74746i | −0.186422 | − | 0.221205i | ||||
\(288\) | 13.8890 | + | 17.4163i | 0.818418 | + | 1.02626i | ||||
\(289\) | 11.2981 | + | 1.70291i | 0.664594 | + | 0.100171i | ||||
\(290\) | 3.75641 | − | 2.56108i | 0.220584 | − | 0.150392i | ||||
\(291\) | 5.35713 | + | 13.6497i | 0.314040 | + | 0.800162i | ||||
\(292\) | 1.83856 | − | 0.567120i | 0.107593 | − | 0.0331882i | ||||
\(293\) | 23.7203 | 1.38576 | 0.692878 | − | 0.721055i | \(-0.256342\pi\) | ||||
0.692878 | + | 0.721055i | \(0.256342\pi\) | |||||||
\(294\) | 3.58078 | + | 12.5210i | 0.208836 | + | 0.730237i | ||||
\(295\) | −13.5036 | −0.786211 | ||||||||
\(296\) | 3.05703 | − | 0.942968i | 0.177686 | − | 0.0548089i | ||||
\(297\) | −1.53939 | − | 3.92231i | −0.0893246 | − | 0.227595i | ||||
\(298\) | −10.0007 | + | 6.81835i | −0.579324 | + | 0.394976i | ||||
\(299\) | 13.0214 | + | 1.96266i | 0.753046 | + | 0.113503i | ||||
\(300\) | 5.41425 | + | 6.78925i | 0.312592 | + | 0.391978i | ||||
\(301\) | −23.1008 | + | 11.9056i | −1.33151 | + | 0.686229i | ||||
\(302\) | −5.88490 | + | 7.37943i | −0.338638 | + | 0.424639i | ||||
\(303\) | 16.5781 | − | 15.3822i | 0.952388 | − | 0.883687i | ||||
\(304\) | −7.74714 | + | 1.16769i | −0.444329 | + | 0.0669718i | ||||
\(305\) | 0.00398420 | + | 0.00369680i | 0.000228135 | + | 0.000211678i | ||||
\(306\) | −5.30292 | − | 3.61547i | −0.303148 | − | 0.206683i | ||||
\(307\) | −2.80954 | + | 12.3094i | −0.160349 | + | 0.702535i | 0.829274 | + | 0.558843i | \(0.188755\pi\) |
−0.989622 | + | 0.143692i | \(0.954103\pi\) | |||||||
\(308\) | −2.66062 | + | 7.35899i | −0.151603 | + | 0.419317i | ||||
\(309\) | 6.10244 | + | 26.7365i | 0.347156 | + | 1.52099i | ||||
\(310\) | 4.17497 | − | 10.6377i | 0.237122 | − | 0.604178i | ||||
\(311\) | −1.13748 | + | 15.1787i | −0.0645008 | + | 0.860704i | 0.867312 | + | 0.497765i | \(0.165846\pi\) |
−0.931813 | + | 0.362939i | \(0.881773\pi\) | |||||||
\(312\) | 5.95791 | − | 10.3194i | 0.337300 | − | 0.584221i | ||||
\(313\) | −6.24124 | − | 10.8101i | −0.352776 | − | 0.611025i | 0.633959 | − | 0.773367i | \(-0.281429\pi\) |
−0.986735 | + | 0.162341i | \(0.948095\pi\) | |||||||
\(314\) | −0.309481 | + | 0.149038i | −0.0174650 | + | 0.00841071i | ||||
\(315\) | −10.5934 | − | 24.9810i | −0.596871 | − | 1.40752i | ||||
\(316\) | 0.495801 | + | 0.238765i | 0.0278910 | + | 0.0134316i | ||||
\(317\) | −2.27787 | − | 30.3960i | −0.127938 | − | 1.70721i | −0.579500 | − | 0.814972i | \(-0.696752\pi\) |
0.451563 | − | 0.892239i | \(-0.350867\pi\) | |||||||
\(318\) | 0.650204 | + | 0.200561i | 0.0364617 | + | 0.0112469i | ||||
\(319\) | −4.49400 | − | 1.38621i | −0.251615 | − | 0.0776131i | ||||
\(320\) | −0.349894 | − | 4.66901i | −0.0195596 | − | 0.261005i | ||||
\(321\) | −12.7294 | − | 6.13013i | −0.710483 | − | 0.342151i | ||||
\(322\) | −13.3272 | + | 2.37939i | −0.742698 | + | 0.132598i | ||||
\(323\) | 13.7683 | − | 6.63047i | 0.766089 | − | 0.368929i | ||||
\(324\) | −4.39715 | − | 7.61609i | −0.244286 | − | 0.423116i | ||||
\(325\) | 2.04459 | − | 3.54134i | 0.113414 | − | 0.196438i | ||||
\(326\) | 0.113661 | − | 1.51670i | 0.00629511 | − | 0.0840024i | ||||
\(327\) | −1.24333 | + | 3.16795i | −0.0687563 | + | 0.175188i | ||||
\(328\) | −1.02582 | − | 4.49440i | −0.0566412 | − | 0.248161i | ||||
\(329\) | 1.25411 | + | 12.2678i | 0.0691414 | + | 0.676344i | ||||
\(330\) | −2.20643 | + | 9.66700i | −0.121460 | + | 0.532151i | ||||
\(331\) | 5.84101 | + | 3.98234i | 0.321051 | + | 0.218889i | 0.713112 | − | 0.701050i | \(-0.247285\pi\) |
−0.392061 | + | 0.919939i | \(0.628238\pi\) | |||||||
\(332\) | −16.9511 | − | 15.7283i | −0.930313 | − | 0.863205i | ||||
\(333\) | 4.84830 | − | 0.730763i | 0.265685 | − | 0.0400456i | ||||
\(334\) | 1.66594 | − | 1.54577i | 0.0911564 | − | 0.0845808i | ||||
\(335\) | 17.5529 | − | 22.0106i | 0.959015 | − | 1.20257i | ||||
\(336\) | 1.63894 | − | 8.19771i | 0.0894116 | − | 0.447222i | ||||
\(337\) | 12.6022 | + | 15.8027i | 0.686487 | + | 0.860828i | 0.995934 | − | 0.0900891i | \(-0.0287152\pi\) |
−0.309446 | + | 0.950917i | \(0.600144\pi\) | |||||||
\(338\) | 6.79074 | + | 1.02354i | 0.369367 | + | 0.0556732i | ||||
\(339\) | −24.3873 | + | 16.6270i | −1.32454 | + | 0.903055i | ||||
\(340\) | −3.46049 | − | 8.81720i | −0.187672 | − | 0.478180i | ||||
\(341\) | −11.2959 | + | 3.48432i | −0.611707 | + | 0.188687i | ||||
\(342\) | 17.5950 | 0.951431 | ||||||||
\(343\) | 10.3343 | − | 15.3689i | 0.558001 | − | 0.829840i | ||||
\(344\) | −24.4462 | −1.31805 | ||||||||
\(345\) | 48.1542 | − | 14.8536i | 2.59253 | − | 0.799690i | ||||
\(346\) | 2.27139 | + | 5.78740i | 0.122111 | + | 0.311133i | ||||
\(347\) | 4.45757 | − | 3.03912i | 0.239295 | − | 0.163148i | −0.437735 | − | 0.899104i | \(-0.644219\pi\) |
0.677030 | + | 0.735956i | \(0.263267\pi\) | |||||||
\(348\) | 9.13771 | + | 1.37729i | 0.489833 | + | 0.0738304i | ||||
\(349\) | 0.991376 | + | 1.24315i | 0.0530671 | + | 0.0665441i | 0.807657 | − | 0.589653i | \(-0.200735\pi\) |
−0.754590 | + | 0.656197i | \(0.772164\pi\) | |||||||
\(350\) | −0.824168 | + | 4.12235i | −0.0440536 | + | 0.220349i | ||||
\(351\) | 2.43083 | − | 3.04817i | 0.129748 | − | 0.162699i | ||||
\(352\) | −8.48627 | + | 7.87410i | −0.452320 | + | 0.419691i | ||||
\(353\) | 10.0293 | − | 1.51167i | 0.533805 | − | 0.0804582i | 0.123392 | − | 0.992358i | \(-0.460623\pi\) |
0.410413 | + | 0.911900i | \(0.365385\pi\) | |||||||
\(354\) | 6.84922 | + | 6.35514i | 0.364032 | + | 0.337772i | ||||
\(355\) | 17.5769 | + | 11.9837i | 0.932883 | + | 0.636029i | ||||
\(356\) | −2.22722 | + | 9.75810i | −0.118043 | + | 0.517178i | ||||
\(357\) | 1.65832 | + | 16.2217i | 0.0877675 | + | 0.858545i | ||||
\(358\) | 2.56306 | + | 11.2295i | 0.135462 | + | 0.593498i | ||||
\(359\) | 9.61664 | − | 24.5028i | 0.507547 | − | 1.29321i | −0.415875 | − | 0.909422i | \(-0.636524\pi\) |
0.923422 | − | 0.383787i | \(-0.125380\pi\) | |||||||
\(360\) | 1.90743 | − | 25.4528i | 0.100530 | − | 1.34148i | ||||
\(361\) | −11.4470 | + | 19.8268i | −0.602474 | + | 1.04352i | ||||
\(362\) | −7.23720 | − | 12.5352i | −0.380379 | − | 0.658835i | ||||
\(363\) | −16.6297 | + | 8.00846i | −0.872835 | + | 0.420335i | ||||
\(364\) | −7.12781 | + | 1.27257i | −0.373599 | + | 0.0667007i | ||||
\(365\) | −3.12382 | − | 1.50435i | −0.163508 | − | 0.0787414i | ||||
\(366\) | −0.000281034 | − | 0.00375014i | −1.46899e−5 | − | 0.000196023i | ||||
\(367\) | −12.7066 | − | 3.91946i | −0.663277 | − | 0.204594i | −0.0552042 | − | 0.998475i | \(-0.517581\pi\) |
−0.608073 | + | 0.793881i | \(0.708057\pi\) | |||||||
\(368\) | 8.30448 | + | 2.56159i | 0.432901 | + | 0.133532i | ||||
\(369\) | −0.527991 | − | 7.04554i | −0.0274861 | − | 0.366776i | ||||
\(370\) | −2.21930 | − | 1.06876i | −0.115376 | − | 0.0555621i | ||||
\(371\) | −0.377783 | − | 0.890873i | −0.0196135 | − | 0.0462518i | ||||
\(372\) | 20.9273 | − | 10.0780i | 1.08503 | − | 0.522522i | ||||
\(373\) | −7.12503 | − | 12.3409i | −0.368920 | − | 0.638988i | 0.620477 | − | 0.784225i | \(-0.286939\pi\) |
−0.989397 | + | 0.145236i | \(0.953606\pi\) | |||||||
\(374\) | 1.66771 | − | 2.88855i | 0.0862350 | − | 0.149363i | ||||
\(375\) | −1.45318 | + | 19.3913i | −0.0750418 | + | 1.00136i | ||||
\(376\) | −4.23795 | + | 10.7981i | −0.218556 | + | 0.556870i | ||||
\(377\) | −0.968311 | − | 4.24245i | −0.0498705 | − | 0.218497i | ||||
\(378\) | −1.36280 | + | 3.76936i | −0.0700949 | + | 0.193875i | ||||
\(379\) | 5.27288 | − | 23.1020i | 0.270850 | − | 1.18667i | −0.638163 | − | 0.769901i | \(-0.720305\pi\) |
0.909013 | − | 0.416769i | \(-0.136838\pi\) | |||||||
\(380\) | 21.4549 | + | 14.6277i | 1.10061 | + | 0.750385i | ||||
\(381\) | 39.4307 | + | 36.5863i | 2.02009 | + | 1.87437i | ||||
\(382\) | 15.6508 | − | 2.35898i | 0.800764 | − | 0.120696i | ||||
\(383\) | −9.90714 | + | 9.19249i | −0.506231 | + | 0.469714i | −0.891455 | − | 0.453109i | \(-0.850315\pi\) |
0.385224 | + | 0.922823i | \(0.374124\pi\) | |||||||
\(384\) | 16.9908 | − | 21.3057i | 0.867056 | − | 1.08725i | ||||
\(385\) | 12.5345 | − | 6.46000i | 0.638818 | − | 0.329232i | ||||
\(386\) | 8.02632 | + | 10.0647i | 0.408529 | + | 0.512279i | ||||
\(387\) | −37.0481 | − | 5.58410i | −1.88326 | − | 0.283856i | ||||
\(388\) | 6.92499 | − | 4.72138i | 0.351563 | − | 0.239692i | ||||
\(389\) | −10.4754 | − | 26.6909i | −0.531124 | − | 1.35328i | −0.904845 | − | 0.425741i | \(-0.860013\pi\) |
0.373721 | − | 0.927541i | \(-0.378082\pi\) | |||||||
\(390\) | −8.76714 | + | 2.70431i | −0.443942 | + | 0.136938i | ||||
\(391\) | −16.9512 | −0.857258 | ||||||||
\(392\) | 15.2640 | − | 8.39726i | 0.770947 | − | 0.424126i | ||||
\(393\) | −5.07682 | −0.256092 | ||||||||
\(394\) | 7.20786 | − | 2.22333i | 0.363127 | − | 0.112010i | ||||
\(395\) | −0.362292 | − | 0.923106i | −0.0182289 | − | 0.0464465i | ||||
\(396\) | −9.32108 | + | 6.35501i | −0.468402 | + | 0.319351i | ||||
\(397\) | 9.99956 | + | 1.50719i | 0.501863 | + | 0.0756437i | 0.395095 | − | 0.918640i | \(-0.370712\pi\) |
0.106768 | + | 0.994284i | \(0.465950\pi\) | |||||||
\(398\) | −5.97437 | − | 7.49162i | −0.299468 | − | 0.375521i | ||||
\(399\) | −28.8077 | − | 34.1828i | −1.44219 | − | 1.71128i | ||||
\(400\) | 1.68260 | − | 2.10991i | 0.0841299 | − | 0.105495i | ||||
\(401\) | −15.8360 | + | 14.6936i | −0.790811 | + | 0.733766i | −0.968146 | − | 0.250385i | \(-0.919443\pi\) |
0.177335 | + | 0.984151i | \(0.443252\pi\) | |||||||
\(402\) | −19.2618 | + | 2.90325i | −0.960691 | + | 0.144801i | ||||
\(403\) | −8.01800 | − | 7.43962i | −0.399405 | − | 0.370594i | ||||
\(404\) | −10.6804 | − | 7.28175i | −0.531368 | − | 0.362281i | ||||
\(405\) | −3.52643 | + | 15.4503i | −0.175230 | + | 0.767733i | ||||
\(406\) | 2.34089 | + | 3.81232i | 0.116176 | + | 0.189202i | ||||
\(407\) | 0.566994 | + | 2.48416i | 0.0281048 | + | 0.123135i | ||||
\(408\) | −5.60386 | + | 14.2784i | −0.277432 | + | 0.706886i | ||||
\(409\) | −0.820706 | + | 10.9516i | −0.0405813 | + | 0.541520i | 0.939451 | + | 0.342683i | \(0.111336\pi\) |
−0.980033 | + | 0.198837i | \(0.936284\pi\) | |||||||
\(410\) | −1.77476 | + | 3.07397i | −0.0876491 | + | 0.151813i | ||||
\(411\) | −5.98973 | − | 10.3745i | −0.295451 | − | 0.511737i | ||||
\(412\) | 14.1229 | − | 6.80121i | 0.695783 | − | 0.335072i | ||||
\(413\) | 0.633913 | − | 13.2724i | 0.0311928 | − | 0.653093i | ||||
\(414\) | −17.5845 | − | 8.46824i | −0.864230 | − | 0.416191i | ||||
\(415\) | 3.11403 | + | 41.5538i | 0.152862 | + | 2.03980i | ||||
\(416\) | −10.2358 | − | 3.15732i | −0.501850 | − | 0.154800i | ||||
\(417\) | 2.15392 | + | 0.664397i | 0.105478 | + | 0.0325356i | ||||
\(418\) | 0.683323 | + | 9.11831i | 0.0334224 | + | 0.445991i | ||||
\(419\) | −13.3297 | − | 6.41925i | −0.651199 | − | 0.313601i | 0.0789606 | − | 0.996878i | \(-0.474840\pi\) |
−0.730159 | + | 0.683277i | \(0.760554\pi\) | |||||||
\(420\) | −22.4625 | + | 16.2225i | −1.09606 | + | 0.791576i | ||||
\(421\) | 21.1710 | − | 10.1954i | 1.03181 | − | 0.496893i | 0.160195 | − | 0.987085i | \(-0.448788\pi\) |
0.871614 | + | 0.490192i | \(0.163073\pi\) | |||||||
\(422\) | −5.35888 | − | 9.28185i | −0.260866 | − | 0.451833i | ||||
\(423\) | −8.88913 | + | 15.3964i | −0.432204 | + | 0.748599i | ||||
\(424\) | 0.0680228 | − | 0.907701i | 0.00330348 | − | 0.0440819i | ||||
\(425\) | −1.92309 | + | 4.89996i | −0.0932837 | + | 0.237683i | ||||
\(426\) | −3.27539 | − | 14.3504i | −0.158693 | − | 0.695280i | ||||
\(427\) | −0.00382054 | + | 0.00374245i | −0.000184889 | + | 0.000181110i | ||||
\(428\) | −1.79700 | + | 7.87316i | −0.0868612 | + | 0.380564i | ||||
\(429\) | 7.84154 | + | 5.34627i | 0.378593 | + | 0.258120i | ||||
\(430\) | 13.7980 | + | 12.8027i | 0.665401 | + | 0.617401i | ||||
\(431\) | 24.1341 | − | 3.63762i | 1.16250 | − | 0.175218i | 0.460674 | − | 0.887570i | \(-0.347608\pi\) |
0.701823 | + | 0.712351i | \(0.252370\pi\) | |||||||
\(432\) | 1.88614 | − | 1.75008i | 0.0907470 | − | 0.0842009i | ||||
\(433\) | −21.6403 | + | 27.1361i | −1.03997 | + | 1.30408i | −0.0885831 | + | 0.996069i | \(0.528234\pi\) |
−0.951384 | + | 0.308008i | \(0.900338\pi\) | |||||||
\(434\) | 10.2595 | + | 4.60287i | 0.492474 | + | 0.220945i | ||||
\(435\) | −10.3826 | − | 13.0194i | −0.497810 | − | 0.624234i | ||||
\(436\) | 1.92349 | + | 0.289919i | 0.0921185 | + | 0.0138846i | ||||
\(437\) | 38.3961 | − | 26.1780i | 1.83673 | − | 1.25226i | ||||
\(438\) | 0.876458 | + | 2.23318i | 0.0418788 | + | 0.106705i | ||||
\(439\) | −1.16117 | + | 0.358174i | −0.0554198 | + | 0.0170947i | −0.322341 | − | 0.946624i | \(-0.604470\pi\) |
0.266921 | + | 0.963718i | \(0.413994\pi\) | |||||||
\(440\) | 13.2645 | 0.632362 | ||||||||
\(441\) | 25.0506 | − | 9.23934i | 1.19288 | − | 0.439968i | ||||
\(442\) | 3.08620 | 0.146796 | ||||||||
\(443\) | −37.8581 | + | 11.6777i | −1.79869 | + | 0.554822i | −0.998963 | − | 0.0455403i | \(-0.985499\pi\) |
−0.799728 | + | 0.600363i | \(0.795023\pi\) | |||||||
\(444\) | −1.82916 | − | 4.66063i | −0.0868082 | − | 0.221184i | ||||
\(445\) | 14.9026 | − | 10.1604i | 0.706450 | − | 0.481649i | ||||
\(446\) | 14.1806 | + | 2.13739i | 0.671473 | + | 0.101208i | ||||
\(447\) | 27.6417 | + | 34.6616i | 1.30741 | + | 1.63944i | ||||
\(448\) | 4.60549 | − | 0.124722i | 0.217589 | − | 0.00589255i | ||||
\(449\) | −23.8384 | + | 29.8924i | −1.12500 | + | 1.41071i | −0.225254 | + | 0.974300i | \(0.572321\pi\) |
−0.899749 | + | 0.436409i | \(0.856250\pi\) | |||||||
\(450\) | −4.44280 | + | 4.12231i | −0.209435 | + | 0.194328i | ||||
\(451\) | 3.63072 | − | 0.547243i | 0.170964 | − | 0.0257687i | ||||
\(452\) | 12.3673 | + | 11.4751i | 0.581707 | + | 0.539745i | ||||
\(453\) | 28.5645 | + | 19.4749i | 1.34208 | + | 0.915013i | ||||
\(454\) | −3.49880 | + | 15.3292i | −0.164207 | + | 0.719437i | ||||
\(455\) | 10.9755 | + | 7.05548i | 0.514540 | + | 0.330766i | ||||
\(456\) | −9.35709 | − | 40.9961i | −0.438186 | − | 1.91982i | ||||
\(457\) | −9.69211 | + | 24.6951i | −0.453378 | + | 1.15519i | 0.503319 | + | 0.864101i | \(0.332112\pi\) |
−0.956697 | + | 0.291087i | \(0.905983\pi\) | |||||||
\(458\) | 0.255327 | − | 3.40710i | 0.0119306 | − | 0.159203i | ||||
\(459\) | −2.50935 | + | 4.34632i | −0.117126 | + | 0.202869i | ||||
\(460\) | −14.4019 | − | 24.9448i | −0.671493 | − | 1.16306i | ||||
\(461\) | −28.5671 | + | 13.7572i | −1.33050 | + | 0.640736i | −0.957859 | − | 0.287238i | \(-0.907263\pi\) |
−0.372644 | + | 0.927975i | \(0.621549\pi\) | |||||||
\(462\) | −9.39792 | − | 2.62246i | −0.437231 | − | 0.122008i | ||||
\(463\) | −33.7705 | − | 16.2630i | −1.56945 | − | 0.755807i | −0.571549 | − | 0.820568i | \(-0.693657\pi\) |
−0.997901 | + | 0.0647606i | \(0.979372\pi\) | |||||||
\(464\) | −0.214611 | − | 2.86379i | −0.00996309 | − | 0.132948i | ||||
\(465\) | −39.9972 | − | 12.3375i | −1.85483 | − | 0.572139i | ||||
\(466\) | −5.66896 | − | 1.74864i | −0.262610 | − | 0.0810043i | ||||
\(467\) | −2.51542 | − | 33.5659i | −0.116400 | − | 1.55325i | −0.683717 | − | 0.729747i | \(-0.739638\pi\) |
0.567317 | − | 0.823499i | \(-0.307981\pi\) | |||||||
\(468\) | −9.40471 | − | 4.52907i | −0.434733 | − | 0.209356i | ||||
\(469\) | 20.8098 | + | 18.2856i | 0.960905 | + | 0.844351i | ||||
\(470\) | 8.04706 | − | 3.87526i | 0.371183 | − | 0.178753i | ||||
\(471\) | 0.629079 | + | 1.08960i | 0.0289864 | + | 0.0502060i | ||||
\(472\) | 6.24956 | − | 10.8245i | 0.287659 | − | 0.498240i | ||||
\(473\) | 1.45506 | − | 19.4164i | 0.0669035 | − | 0.892766i | ||||
\(474\) | −0.250678 | + | 0.638716i | −0.0115140 | + | 0.0293372i | ||||
\(475\) | −3.21110 | − | 14.0688i | −0.147335 | − | 0.645519i | ||||
\(476\) | 8.82869 | − | 2.98733i | 0.404662 | − | 0.136924i | ||||
\(477\) | 0.310429 | − | 1.36008i | 0.0142136 | − | 0.0622736i | ||||
\(478\) | −2.20047 | − | 1.50026i | −0.100647 | − | 0.0686202i | ||||
\(479\) | 18.0182 | + | 16.7184i | 0.823272 | + | 0.763884i | 0.974446 | − | 0.224623i | \(-0.0721150\pi\) |
−0.151174 | + | 0.988507i | \(0.548305\pi\) | |||||||
\(480\) | −40.5335 | + | 6.10944i | −1.85009 | + | 0.278856i | ||||
\(481\) | −1.72829 | + | 1.60362i | −0.0788033 | + | 0.0731188i | ||||
\(482\) | 4.82742 | − | 6.05339i | 0.219883 | − | 0.275724i | ||||
\(483\) | 12.3387 | + | 48.0270i | 0.561432 | + | 2.18530i | ||||
\(484\) | 6.57787 | + | 8.24839i | 0.298994 | + | 0.374927i | ||||
\(485\) | −14.9348 | − | 2.25106i | −0.678154 | − | 0.102215i | ||||
\(486\) | 12.8151 | − | 8.73717i | 0.581303 | − | 0.396326i | ||||
\(487\) | −3.60693 | − | 9.19030i | −0.163445 | − | 0.416452i | 0.825563 | − | 0.564310i | \(-0.190858\pi\) |
−0.989009 | + | 0.147857i | \(0.952762\pi\) | |||||||
\(488\) | −0.00480728 | + | 0.00148285i | −0.000217616 | + | 6.71255e-5i | ||||
\(489\) | −5.57093 | −0.251926 | ||||||||
\(490\) | −13.0131 | − | 3.25426i | −0.587870 | − | 0.147012i | ||||
\(491\) | 14.1120 | 0.636864 | 0.318432 | − | 0.947946i | \(-0.396844\pi\) | ||||
0.318432 | + | 0.947946i | \(0.396844\pi\) | |||||||
\(492\) | −6.89415 | + | 2.12656i | −0.310812 | + | 0.0958729i | ||||
\(493\) | 2.04648 | + | 5.21434i | 0.0921687 | + | 0.234842i | ||||
\(494\) | −6.99055 | + | 4.76607i | −0.314519 | + | 0.214436i | ||||
\(495\) | 20.1023 | + | 3.02994i | 0.903532 | + | 0.136186i | ||||
\(496\) | −4.50064 | − | 5.64363i | −0.202085 | − | 0.253406i | ||||
\(497\) | −12.6037 | + | 16.7134i | −0.565351 | + | 0.749697i | ||||
\(498\) | 17.9768 | − | 22.5422i | 0.805560 | − | 1.01014i | ||||
\(499\) | 30.5944 | − | 28.3875i | 1.36959 | − | 1.27080i | 0.442096 | − | 0.896968i | \(-0.354235\pi\) |
0.927498 | − | 0.373829i | \(-0.121955\pi\) | |||||||
\(500\) | 10.9907 | − | 1.65658i | 0.491519 | − | 0.0740846i | ||||
\(501\) | −6.10199 | − | 5.66182i | −0.272617 | − | 0.252952i | ||||
\(502\) | −7.73319 | − | 5.27240i | −0.345149 | − | 0.235319i | ||||
\(503\) | 8.83628 | − | 38.7143i | 0.393990 | − | 1.72618i | −0.256388 | − | 0.966574i | \(-0.582532\pi\) |
0.650378 | − | 0.759611i | \(-0.274610\pi\) | |||||||
\(504\) | 24.9275 | + | 3.06963i | 1.11036 | + | 0.136732i | ||||
\(505\) | 5.18340 | + | 22.7100i | 0.230658 | + | 1.01058i | ||||
\(506\) | 3.70560 | − | 9.44171i | 0.164734 | − | 0.419735i | ||||
\(507\) | 1.87976 | − | 25.0836i | 0.0834829 | − | 1.11400i | ||||
\(508\) | 15.3727 | − | 26.6263i | 0.682052 | − | 1.18135i | ||||
\(509\) | 7.62570 | + | 13.2081i | 0.338003 | + | 0.585439i | 0.984057 | − | 0.177853i | \(-0.0569152\pi\) |
−0.646054 | + | 0.763292i | \(0.723582\pi\) | |||||||
\(510\) | 10.6407 | − | 5.12428i | 0.471177 | − | 0.226907i | ||||
\(511\) | 1.62524 | − | 2.99972i | 0.0718965 | − | 0.132700i | ||||
\(512\) | −11.7975 | − | 5.68136i | −0.521379 | − | 0.251083i | ||||
\(513\) | −1.02818 | − | 13.7200i | −0.0453951 | − | 0.605755i | ||||
\(514\) | −9.24942 | − | 2.85307i | −0.407975 | − | 0.125843i | ||||
\(515\) | −26.9923 | − | 8.32602i | −1.18942 | − | 0.366888i | ||||
\(516\) | 2.85908 | + | 38.1518i | 0.125864 | + | 1.67954i | ||||
\(517\) | −8.32413 | − | 4.00869i | −0.366095 | − | 0.176302i | ||||
\(518\) | 1.15464 | − | 2.13113i | 0.0507321 | − | 0.0936365i | ||||
\(519\) | 20.5170 | − | 9.88046i | 0.900596 | − | 0.433704i | ||||
\(520\) | 6.13673 | + | 10.6291i | 0.269114 | + | 0.466118i | ||||
\(521\) | 7.09992 | − | 12.2974i | 0.311053 | − | 0.538760i | −0.667537 | − | 0.744576i | \(-0.732652\pi\) |
0.978591 | + | 0.205816i | \(0.0659849\pi\) | |||||||
\(522\) | −0.481974 | + | 6.43150i | −0.0210954 | + | 0.281499i | ||||
\(523\) | −5.78231 | + | 14.7331i | −0.252843 | + | 0.644232i | −0.999787 | − | 0.0206544i | \(-0.993425\pi\) |
0.746944 | + | 0.664887i | \(0.231520\pi\) | |||||||
\(524\) | 0.645718 | + | 2.82907i | 0.0282083 | + | 0.123589i | ||||
\(525\) | 15.2827 | + | 1.88194i | 0.666990 | + | 0.0821345i | ||||
\(526\) | 1.22720 | − | 5.37673i | 0.0535087 | − | 0.234437i | ||||
\(527\) | 11.6333 | + | 7.93143i | 0.506753 | + | 0.345499i | ||||
\(528\) | 4.59139 | + | 4.26019i | 0.199815 | + | 0.185401i | ||||
\(529\) | −28.2290 | + | 4.25483i | −1.22735 | + | 0.184993i | ||||
\(530\) | −0.513765 | + | 0.476704i | −0.0223165 | + | 0.0207067i | ||||
\(531\) | 11.9437 | − | 14.9770i | 0.518314 | − | 0.649945i | ||||
\(532\) | −15.3844 | + | 20.4009i | −0.667000 | + | 0.884491i | ||||
\(533\) | 2.11824 | + | 2.65619i | 0.0917511 | + | 0.115052i | ||||
\(534\) | −12.3405 | − | 1.86004i | −0.534027 | − | 0.0804916i | ||||
\(535\) | 12.0239 | − | 8.19776i | 0.519839 | − | 0.354420i | ||||
\(536\) | 9.52020 | + | 24.2571i | 0.411210 | + | 1.04775i | ||||
\(537\) | 40.3147 | − | 12.4354i | 1.73971 | − | 0.536629i | ||||
\(538\) | −10.5532 | −0.454981 | ||||||||
\(539\) | 5.76098 | + | 12.6232i | 0.248143 | + | 0.543719i | ||||
\(540\) | −8.52787 | −0.366981 | ||||||||
\(541\) | 24.9084 | − | 7.68323i | 1.07090 | − | 0.330328i | 0.291314 | − | 0.956627i | \(-0.405907\pi\) |
0.779583 | + | 0.626299i | \(0.215431\pi\) | |||||||
\(542\) | −2.25337 | − | 5.74149i | −0.0967904 | − | 0.246618i | ||||
\(543\) | −43.8043 | + | 29.8653i | −1.87982 | + | 1.28164i | ||||
\(544\) | 13.6346 | + | 2.05509i | 0.584580 | + | 0.0881113i | ||||
\(545\) | −2.18555 | − | 2.74059i | −0.0936186 | − | 0.117394i | ||||
\(546\) | −2.24644 | − | 8.74399i | −0.0961388 | − | 0.374208i | ||||
\(547\) | 8.00236 | − | 10.0346i | 0.342156 | − | 0.429050i | −0.580746 | − | 0.814085i | \(-0.697239\pi\) |
0.922902 | + | 0.385035i | \(0.125810\pi\) | |||||||
\(548\) | −5.01940 | + | 4.65732i | −0.214418 | + | 0.198951i | ||||
\(549\) | −0.00762412 | + | 0.00114915i | −0.000325390 | + | 4.90446e-5i | ||||
\(550\) | −2.30885 | − | 2.14230i | −0.0984499 | − | 0.0913481i | ||||
\(551\) | −12.6881 | − | 8.65058i | −0.540530 | − | 0.368527i | ||||
\(552\) | −10.3793 | + | 45.4749i | −0.441774 | + | 1.93554i | ||||
\(553\) | 0.924309 | − | 0.312756i | 0.0393056 | − | 0.0132997i | ||||
\(554\) | 2.51201 | + | 11.0058i | 0.106725 | + | 0.467593i | ||||
\(555\) | −3.29621 | + | 8.39862i | −0.139916 | + | 0.356501i | ||||
\(556\) | 0.0962812 | − | 1.28478i | 0.00408323 | − | 0.0544870i | ||||
\(557\) | −5.39322 | + | 9.34134i | −0.228518 | + | 0.395805i | −0.957369 | − | 0.288867i | \(-0.906721\pi\) |
0.728851 | + | 0.684672i | \(0.240055\pi\) | |||||||
\(558\) | 8.10562 | + | 14.0393i | 0.343138 | + | 0.594333i | ||||
\(559\) | 16.2319 | − | 7.81686i | 0.686535 | − | 0.330618i | ||||
\(560\) | 6.46845 | + | 5.68385i | 0.273342 | + | 0.240186i | ||||
\(561\) | −11.0070 | − | 5.30071i | −0.464717 | − | 0.223796i | ||||
\(562\) | 0.161507 | + | 2.15516i | 0.00681277 | + | 0.0909100i | ||||
\(563\) | −10.6489 | − | 3.28476i | −0.448799 | − | 0.138436i | 0.0621133 | − | 0.998069i | \(-0.480216\pi\) |
−0.510912 | + | 0.859633i | \(0.670692\pi\) | |||||||
\(564\) | 17.3476 | + | 5.35103i | 0.730466 | + | 0.225319i | ||||
\(565\) | −2.27194 | − | 30.3170i | −0.0955814 | − | 1.27545i | ||||
\(566\) | −7.24956 | − | 3.49121i | −0.304722 | − | 0.146746i | ||||
\(567\) | −15.0203 | − | 4.19136i | −0.630791 | − | 0.176020i | ||||
\(568\) | −17.7409 | + | 8.54355i | −0.744390 | + | 0.358479i | ||||
\(569\) | 9.80062 | + | 16.9752i | 0.410863 | + | 0.711636i | 0.994984 | − | 0.100031i | \(-0.0318941\pi\) |
−0.584121 | + | 0.811666i | \(0.698561\pi\) | |||||||
\(570\) | −16.1886 | + | 28.0395i | −0.678067 | + | 1.17445i | ||||
\(571\) | 0.712765 | − | 9.51119i | 0.0298283 | − | 0.398031i | −0.962229 | − | 0.272242i | \(-0.912235\pi\) |
0.992057 | − | 0.125789i | \(-0.0401461\pi\) | |||||||
\(572\) | 1.98187 | − | 5.04971i | 0.0828660 | − | 0.211139i | ||||
\(573\) | −12.9002 | − | 56.5194i | −0.538913 | − | 2.36113i | ||||
\(574\) | −2.93803 | − | 1.88868i | −0.122631 | − | 0.0788319i | ||||
\(575\) | −3.56191 | + | 15.6058i | −0.148542 | + | 0.650805i | ||||
\(576\) | 5.48791 | + | 3.74159i | 0.228663 | + | 0.155900i | ||||
\(577\) | −15.7924 | − | 14.6532i | −0.657447 | − | 0.610022i | 0.279226 | − | 0.960225i | \(-0.409922\pi\) |
−0.936674 | + | 0.350203i | \(0.886113\pi\) | |||||||
\(578\) | 8.05202 | − | 1.21365i | 0.334920 | − | 0.0504810i | ||||
\(579\) | 34.5647 | − | 32.0714i | 1.43646 | − | 1.33284i | ||||
\(580\) | −5.93455 | + | 7.44170i | −0.246419 | + | 0.309000i | ||||
\(581\) | −40.9886 | + | 1.11001i | −1.70049 | + | 0.0460512i | ||||
\(582\) | 6.51572 | + | 8.17045i | 0.270085 | + | 0.338676i | ||||
\(583\) | 0.716891 | + | 0.108054i | 0.0296906 | + | 0.00447514i | ||||
\(584\) | 2.65162 | − | 1.80784i | 0.109725 | − | 0.0748091i | ||||
\(585\) | 6.87223 | + | 17.5101i | 0.284132 | + | 0.723956i | ||||
\(586\) | 16.1541 | − | 4.98290i | 0.667322 | − | 0.205841i | ||||
\(587\) | 23.1623 | 0.956012 | 0.478006 | − | 0.878357i | \(-0.341360\pi\) | ||||
0.478006 | + | 0.878357i | \(0.341360\pi\) | |||||||
\(588\) | −14.8903 | − | 22.8394i | −0.614064 | − | 0.941882i | ||||
\(589\) | −38.5991 | −1.59045 | ||||||||
\(590\) | −9.19631 | + | 2.83668i | −0.378606 | + | 0.116784i | ||||
\(591\) | −10.0937 | − | 25.7184i | −0.415201 | − | 1.05792i | ||||
\(592\) | −1.28559 | + | 0.876498i | −0.0528373 | + | 0.0360239i | ||||
\(593\) | −40.9933 | − | 6.17875i | −1.68339 | − | 0.253731i | −0.763475 | − | 0.645837i | \(-0.776508\pi\) |
−0.919920 | + | 0.392106i | \(0.871746\pi\) | |||||||
\(594\) | −1.87232 | − | 2.34781i | −0.0768222 | − | 0.0963319i | ||||
\(595\) | −15.3241 | − | 6.87506i | −0.628228 | − | 0.281850i | ||||
\(596\) | 15.7995 | − | 19.8120i | 0.647174 | − | 0.811531i | ||||
\(597\) | −25.7281 | + | 23.8722i | −1.05298 | + | 0.977025i | ||||
\(598\) | 9.28019 | − | 1.39876i | 0.379495 | − | 0.0571997i | ||||
\(599\) | 25.0823 | + | 23.2730i | 1.02483 | + | 0.950908i | 0.998811 | − | 0.0487537i | \(-0.0155249\pi\) |
0.0260239 | + | 0.999661i | \(0.491715\pi\) | |||||||
\(600\) | 11.9676 | + | 8.15936i | 0.488575 | + | 0.333105i | ||||
\(601\) | 4.10702 | − | 17.9940i | 0.167529 | − | 0.733991i | −0.819451 | − | 0.573149i | \(-0.805722\pi\) |
0.986980 | − | 0.160843i | \(-0.0514212\pi\) | |||||||
\(602\) | −13.2313 | + | 12.9608i | −0.539266 | + | 0.528243i | ||||
\(603\) | 8.88690 | + | 38.9361i | 0.361903 | + | 1.58560i | ||||
\(604\) | 7.21937 | − | 18.3947i | 0.293752 | − | 0.748468i | ||||
\(605\) | 1.42074 | − | 18.9585i | 0.0577613 | − | 0.770771i | ||||
\(606\) | 8.05879 | − | 13.9582i | 0.327366 | − | 0.567015i | ||||
\(607\) | 17.7770 | + | 30.7906i | 0.721545 | + | 1.24975i | 0.960381 | + | 0.278692i | \(0.0899009\pi\) |
−0.238836 | + | 0.971060i | \(0.576766\pi\) | |||||||
\(608\) | −34.0575 | + | 16.4012i | −1.38121 | + | 0.665157i | ||||
\(609\) | 13.2839 | − | 9.59370i | 0.538292 | − | 0.388756i | ||||
\(610\) | 0.00348993 | + | 0.00168066i | 0.000141303 | + | 6.80479e-5i | ||||
\(611\) | −0.638851 | − | 8.52487i | −0.0258451 | − | 0.344880i | ||||
\(612\) | 12.8400 | + | 3.96061i | 0.519026 | + | 0.160098i | ||||
\(613\) | 1.60156 | + | 0.494016i | 0.0646864 | + | 0.0199531i | 0.326930 | − | 0.945049i | \(-0.393986\pi\) |
−0.262243 | + | 0.965002i | \(0.584462\pi\) | |||||||
\(614\) | 0.672449 | + | 8.97321i | 0.0271378 | + | 0.362129i | ||||
\(615\) | 11.7136 | + | 5.64097i | 0.472338 | + | 0.227466i | ||||
\(616\) | −0.622690 | + | 13.0374i | −0.0250889 | + | 0.525294i | ||||
\(617\) | −4.31320 | + | 2.07713i | −0.173643 | + | 0.0836220i | −0.518686 | − | 0.854965i | \(-0.673579\pi\) |
0.345043 | + | 0.938587i | \(0.387864\pi\) | |||||||
\(618\) | 9.77242 | + | 16.9263i | 0.393104 | + | 0.680877i | ||||
\(619\) | −16.2276 | + | 28.1071i | −0.652244 | + | 1.12972i | 0.330333 | + | 0.943865i | \(0.392839\pi\) |
−0.982577 | + | 0.185856i | \(0.940494\pi\) | |||||||
\(620\) | −1.78789 | + | 23.8578i | −0.0718036 | + | 0.958152i | ||||
\(621\) | −5.57570 | + | 14.2067i | −0.223745 | + | 0.570093i | ||||
\(622\) | 2.41391 | + | 10.5760i | 0.0967888 | + | 0.424060i | ||||
\(623\) | 9.28687 | + | 15.1244i | 0.372070 | + | 0.605946i | ||||
\(624\) | −1.28960 | + | 5.65011i | −0.0516253 | + | 0.226185i | ||||
\(625\) | −25.7595 | − | 17.5625i | −1.03038 | − | 0.702501i | ||||
\(626\) | −6.52131 | − | 6.05089i | −0.260644 | − | 0.241842i | ||||
\(627\) | 33.1180 | − | 4.99173i | 1.32260 | − | 0.199351i | ||||
\(628\) | 0.527169 | − | 0.489141i | 0.0210363 | − | 0.0195189i | ||||
\(629\) | 1.89224 | − | 2.37279i | 0.0754486 | − | 0.0946095i | ||||
\(630\) | −12.4621 | − | 14.7873i | −0.496502 | − | 0.589141i | ||||
\(631\) | 6.81081 | + | 8.54048i | 0.271134 | + | 0.339991i | 0.898693 | − | 0.438577i | \(-0.144517\pi\) |
−0.627559 | + | 0.778569i | \(0.715946\pi\) | |||||||
\(632\) | 0.907637 | + | 0.136804i | 0.0361038 | + | 0.00544178i | ||||
\(633\) | −32.4355 | + | 22.1141i | −1.28919 | + | 0.878958i | ||||
\(634\) | −7.93654 | − | 20.2220i | −0.315200 | − | 0.803117i | ||||
\(635\) | −52.9428 | + | 16.3307i | −2.10097 | + | 0.648063i | ||||
\(636\) | −1.42455 | −0.0564870 | ||||||||
\(637\) | −7.44992 | + | 10.4564i | −0.295177 | + | 0.414297i | ||||
\(638\) | −3.35173 | −0.132696 | ||||||||
\(639\) | −28.8377 | + | 8.89525i | −1.14080 | + | 0.351891i | ||||
\(640\) | 10.2548 | + | 26.1287i | 0.405355 | + | 1.03283i | ||||
\(641\) | −11.1298 | + | 7.58820i | −0.439602 | + | 0.299716i | −0.762822 | − | 0.646608i | \(-0.776187\pi\) |
0.323220 | + | 0.946324i | \(0.395235\pi\) | |||||||
\(642\) | −9.95676 | − | 1.50074i | −0.392962 | − | 0.0592295i | ||||
\(643\) | 21.9249 | + | 27.4930i | 0.864634 | + | 1.08422i | 0.995681 | + | 0.0928405i | \(0.0295947\pi\) |
−0.131047 | + | 0.991376i | \(0.541834\pi\) | |||||||
\(644\) | 25.1938 | − | 12.9843i | 0.992777 | − | 0.511654i | ||||
\(645\) | 42.9856 | − | 53.9023i | 1.69256 | − | 2.12240i | ||||
\(646\) | 7.98371 | − | 7.40780i | 0.314115 | − | 0.291456i | ||||
\(647\) | 43.4950 | − | 6.55582i | 1.70997 | − | 0.257736i | 0.780106 | − | 0.625648i | \(-0.215165\pi\) |
0.929861 | + | 0.367912i | \(0.119927\pi\) | |||||||
\(648\) | −10.7530 | − | 9.97730i | −0.422417 | − | 0.391946i | ||||
\(649\) | 8.22539 | + | 5.60798i | 0.322875 | + | 0.220132i | ||||
\(650\) | 0.648496 | − | 2.84125i | 0.0254361 | − | 0.111443i | ||||
\(651\) | 14.0039 | − | 38.7333i | 0.548857 | − | 1.51808i | ||||
\(652\) | 0.708563 | + | 3.10442i | 0.0277495 | + | 0.121578i | ||||
\(653\) | 6.55703 | − | 16.7070i | 0.256596 | − | 0.653797i | −0.743289 | − | 0.668971i | \(-0.766735\pi\) |
0.999885 | + | 0.0151743i | \(0.00483031\pi\) | |||||||
\(654\) | −0.181252 | + | 2.41864i | −0.00708751 | + | 0.0945763i | ||||
\(655\) | 2.61460 | − | 4.52862i | 0.102161 | − | 0.176948i | ||||
\(656\) | 1.12106 | + | 1.94173i | 0.0437701 | + | 0.0758120i | ||||
\(657\) | 4.43146 | − | 2.13408i | 0.172888 | − | 0.0832584i | ||||
\(658\) | 3.43115 | + | 8.09121i | 0.133760 | + | 0.315428i | ||||
\(659\) | 13.3123 | + | 6.41085i | 0.518572 | + | 0.249731i | 0.674814 | − | 0.737988i | \(-0.264224\pi\) |
−0.156242 | + | 0.987719i | \(0.549938\pi\) | |||||||
\(660\) | −1.55134 | − | 20.7012i | −0.0603857 | − | 0.805791i | ||||
\(661\) | 4.67831 | + | 1.44307i | 0.181965 | + | 0.0561288i | 0.384399 | − | 0.923167i | \(-0.374409\pi\) |
−0.202434 | + | 0.979296i | \(0.564885\pi\) | |||||||
\(662\) | 4.81444 | + | 1.48506i | 0.187119 | + | 0.0577184i | ||||
\(663\) | −0.844755 | − | 11.2725i | −0.0328076 | − | 0.437787i | ||||
\(664\) | −34.7509 | − | 16.7351i | −1.34860 | − | 0.649449i | ||||
\(665\) | 45.3279 | − | 8.09264i | 1.75774 | − | 0.313819i | ||||
\(666\) | 3.14830 | − | 1.51614i | 0.121994 | − | 0.0587493i | ||||
\(667\) | 8.51705 | + | 14.7520i | 0.329781 | + | 0.571198i | ||||
\(668\) | −2.37896 | + | 4.12048i | −0.0920447 | + | 0.159426i | ||||
\(669\) | 3.92537 | − | 52.3804i | 0.151764 | − | 2.02514i | ||||
\(670\) | 7.33021 | − | 18.6771i | 0.283191 | − | 0.721559i | ||||
\(671\) | −0.000891618 | − | 0.00390643i | −3.44205e−5 | − | 0.000150806i | ||||
\(672\) | −4.10204 | − | 40.1263i | −0.158240 | − | 1.54791i | ||||
\(673\) | 2.43453 | − | 10.6664i | 0.0938444 | − | 0.411159i | −0.906084 | − | 0.423097i | \(-0.860943\pi\) |
0.999929 | + | 0.0119380i | \(0.00380006\pi\) | |||||||
\(674\) | 11.9021 | + | 8.11471i | 0.458451 | + | 0.312567i | ||||
\(675\) | 3.47406 | + | 3.22346i | 0.133717 | + | 0.124071i | ||||
\(676\) | −14.2170 | + | 2.14287i | −0.546808 | + | 0.0824180i | ||||
\(677\) | 10.4060 | − | 9.65539i | 0.399936 | − | 0.371087i | −0.454408 | − | 0.890794i | \(-0.650149\pi\) |
0.854345 | + | 0.519707i | \(0.173959\pi\) | |||||||
\(678\) | −13.1156 | + | 16.4464i | −0.503701 | + | 0.631621i | ||||
\(679\) | 2.91361 | − | 14.5734i | 0.111814 | − | 0.559276i | ||||
\(680\) | −9.85057 | − | 12.3522i | −0.377752 | − | 0.473686i | ||||
\(681\) | 56.9484 | + | 8.58359i | 2.18227 | + | 0.328924i | ||||
\(682\) | −6.96084 | + | 4.74582i | −0.266544 | + | 0.181727i | ||||
\(683\) | 7.01376 | + | 17.8708i | 0.268374 | + | 0.683806i | 0.999998 | + | 0.00209745i | \(0.000667640\pi\) |
−0.731624 | + | 0.681709i | \(0.761237\pi\) | |||||||
\(684\) | −35.2002 | + | 10.8578i | −1.34591 | + | 0.415160i | ||||
\(685\) | 12.3390 | 0.471449 | ||||||||
\(686\) | 3.80942 | − | 12.6375i | 0.145445 | − | 0.482502i | ||||
\(687\) | −12.5145 | −0.477456 | ||||||||
\(688\) | 11.3615 | − | 3.50456i | 0.433154 | − | 0.133610i | ||||
\(689\) | 0.245078 | + | 0.624449i | 0.00933673 | + | 0.0237896i | ||||
\(690\) | 29.6739 | − | 20.2313i | 1.12967 | − | 0.770194i | ||||
\(691\) | −35.1741 | − | 5.30165i | −1.33809 | − | 0.201684i | −0.559296 | − | 0.828968i | \(-0.688928\pi\) |
−0.778791 | + | 0.627284i | \(0.784167\pi\) | |||||||
\(692\) | −8.11547 | − | 10.1765i | −0.308504 | − | 0.386851i | ||||
\(693\) | −3.92174 | + | 19.6159i | −0.148975 | + | 0.745147i | ||||
\(694\) | 2.39729 | − | 3.00611i | 0.0910000 | − | 0.114110i | ||||
\(695\) | −1.70194 | + | 1.57917i | −0.0645582 | + | 0.0599013i | ||||
\(696\) | 15.2416 | − | 2.29730i | 0.577730 | − | 0.0870788i | ||||
\(697\) | −3.20586 | − | 2.97461i | −0.121431 | − | 0.112671i | ||||
\(698\) | 0.936298 | + | 0.638357i | 0.0354394 | + | 0.0241622i | ||||
\(699\) | −4.83528 | + | 21.1847i | −0.182887 | + | 0.801281i | ||||
\(700\) | −0.895076 | − | 8.75567i | −0.0338307 | − | 0.330933i | ||||
\(701\) | 5.39122 | + | 23.6205i | 0.203624 | + | 0.892134i | 0.968708 | + | 0.248203i | \(0.0798402\pi\) |
−0.765084 | + | 0.643930i | \(0.777303\pi\) | |||||||
\(702\) | 1.01513 | − | 2.58652i | 0.0383138 | − | 0.0976220i | ||||
\(703\) | −0.621761 | + | 8.29683i | −0.0234502 | + | 0.312921i | ||||
\(704\) | −1.72588 | + | 2.98932i | −0.0650467 | + | 0.112664i | ||||
\(705\) | −16.3572 | − | 28.3315i | −0.616048 | − | 1.06703i | ||||
\(706\) | 6.51265 | − | 3.13633i | 0.245107 | − | 0.118037i | ||||
\(707\) | −22.5645 | + | 4.02856i | −0.848625 | + | 0.151510i | ||||
\(708\) | −17.6241 | − | 8.48733i | −0.662355 | − | 0.318973i | ||||
\(709\) | 0.743831 | + | 9.92573i | 0.0279351 | + | 0.372769i | 0.993598 | + | 0.112971i | \(0.0360368\pi\) |
−0.965663 | + | 0.259798i | \(0.916344\pi\) | |||||||
\(710\) | 14.4877 | + | 4.46886i | 0.543713 | + | 0.167713i | ||||
\(711\) | 1.34427 | + | 0.414651i | 0.0504140 | + | 0.0155506i | ||||
\(712\) | 1.24761 | + | 16.6483i | 0.0467563 | + | 0.623920i | ||||
\(713\) | 38.5759 | + | 18.5772i | 1.44468 | + | 0.695721i | ||||
\(714\) | 4.53703 | + | 10.6990i | 0.169794 | + | 0.400402i | ||||
\(715\) | −8.80742 | + | 4.24143i | −0.329379 | + | 0.158621i | ||||
\(716\) | −12.0573 | − | 20.8839i | −0.450602 | − | 0.780466i | ||||
\(717\) | −4.87744 | + | 8.44797i | −0.182151 | + | 0.315495i | ||||
\(718\) | 1.40191 | − | 18.7072i | 0.0523188 | − | 0.698146i | ||||
\(719\) | −9.02353 | + | 22.9916i | −0.336521 | + | 0.857441i | 0.658011 | + | 0.753008i | \(0.271398\pi\) |
−0.994532 | + | 0.104433i | \(0.966697\pi\) | |||||||
\(720\) | 2.76238 | + | 12.1028i | 0.102948 | + | 0.451044i | ||||
\(721\) | 9.45060 | − | 26.1393i | 0.351959 | − | 0.973479i | ||||
\(722\) | −3.63072 | + | 15.9072i | −0.135121 | + | 0.592005i | ||||
\(723\) | −23.4316 | − | 15.9754i | −0.871431 | − | 0.594132i | ||||
\(724\) | 22.2140 | + | 20.6116i | 0.825576 | + | 0.766023i | ||||
\(725\) | 5.23050 | − | 0.788371i | 0.194256 | − | 0.0292794i | ||||
\(726\) | −9.64295 | + | 8.94735i | −0.357884 | + | 0.332067i | ||||
\(727\) | 8.65970 | − | 10.8589i | 0.321170 | − | 0.402735i | −0.594869 | − | 0.803822i | \(-0.702796\pi\) |
0.916040 | + | 0.401087i | \(0.131368\pi\) | |||||||
\(728\) | −10.7352 | + | 5.53269i | −0.397874 | + | 0.205055i | ||||
\(729\) | −24.3960 | − | 30.5917i | −0.903557 | − | 1.13302i | ||||
\(730\) | −2.44342 | − | 0.368286i | −0.0904350 | − | 0.0136309i | ||||
\(731\) | −19.1615 | + | 13.0641i | −0.708714 | + | 0.483193i | ||||
\(732\) | 0.00287642 | + | 0.00732901i | 0.000106316 | + | 0.000270888i | ||||
\(733\) | −9.41111 | + | 2.90294i | −0.347607 | + | 0.107223i | −0.463642 | − | 0.886023i | \(-0.653458\pi\) |
0.116035 | + | 0.993245i | \(0.462981\pi\) | |||||||
\(734\) | −9.47685 | −0.349797 | ||||||||
\(735\) | −8.32437 | + | 48.4215i | −0.307049 | + | 1.78605i | ||||
\(736\) | 41.9307 | 1.54559 | ||||||||
\(737\) | −19.8328 | + | 6.11760i | −0.730550 | + | 0.225345i | ||||
\(738\) | −1.83962 | − | 4.68728i | −0.0677174 | − | 0.172541i | ||||
\(739\) | 35.3947 | − | 24.1317i | 1.30202 | − | 0.887699i | 0.304126 | − | 0.952632i | \(-0.401636\pi\) |
0.997890 | + | 0.0649323i | \(0.0206831\pi\) | |||||||
\(740\) | 5.09940 | + | 0.768611i | 0.187458 | + | 0.0282547i | ||||
\(741\) | 19.3217 | + | 24.2287i | 0.709801 | + | 0.890063i | ||||
\(742\) | −0.444424 | − | 0.527347i | −0.0163153 | − | 0.0193595i | ||||
\(743\) | −4.20444 | + | 5.27221i | −0.154246 | + | 0.193419i | −0.852950 | − | 0.521992i | \(-0.825189\pi\) |
0.698704 | + | 0.715411i | \(0.253760\pi\) | |||||||
\(744\) | 28.4008 | − | 26.3521i | 1.04122 | − | 0.966113i | ||||
\(745\) | −45.1544 | + | 6.80594i | −1.65433 | + | 0.249350i | ||||
\(746\) | −7.44476 | − | 6.90773i | −0.272572 | − | 0.252910i | ||||
\(747\) | −48.8420 | − | 33.2999i | −1.78704 | − | 1.21838i | ||||
\(748\) | −1.55386 | + | 6.80790i | −0.0568147 | + | 0.248922i | ||||
\(749\) | 7.49296 | + | 12.2029i | 0.273787 | + | 0.445883i | ||||
\(750\) | 3.08385 | + | 13.5112i | 0.112606 | + | 0.493361i | ||||
\(751\) | −0.821805 | + | 2.09393i | −0.0299881 | + | 0.0764084i | −0.945083 | − | 0.326829i | \(-0.894020\pi\) |
0.915095 | + | 0.403237i | \(0.132115\pi\) | |||||||
\(752\) | 0.421612 | − | 5.62602i | 0.0153746 | − | 0.205160i | ||||
\(753\) | −17.1409 | + | 29.6890i | −0.624650 | + | 1.08193i | ||||
\(754\) | −1.55065 | − | 2.68580i | −0.0564713 | − | 0.0978111i | ||||
\(755\) | −32.0829 | + | 15.4503i | −1.16762 | + | 0.562295i | ||||
\(756\) | 0.400332 | − | 8.38187i | 0.0145599 | − | 0.304846i | ||||
\(757\) | 38.9075 | + | 18.7369i | 1.41412 | + | 0.681004i | 0.975971 | − | 0.217900i | \(-0.0699205\pi\) |
0.438147 | + | 0.898903i | \(0.355635\pi\) | |||||||
\(758\) | −1.26204 | − | 16.8407i | −0.0458393 | − | 0.611682i | ||||
\(759\) | −35.5005 | − | 10.9505i | −1.28859 | − | 0.397477i | ||||
\(760\) | 41.3882 | + | 12.7666i | 1.50131 | + | 0.463093i | ||||
\(761\) | 1.90428 | + | 25.4108i | 0.0690300 | + | 0.921141i | 0.918987 | + | 0.394288i | \(0.129009\pi\) |
−0.849957 | + | 0.526852i | \(0.823372\pi\) | |||||||
\(762\) | 34.5389 | + | 16.6331i | 1.25121 | + | 0.602552i | ||||
\(763\) | 2.79627 | − | 2.01948i | 0.101232 | − | 0.0731099i | ||||
\(764\) | −29.8549 | + | 14.3773i | −1.08011 | + | 0.520154i | ||||
\(765\) | −12.1069 | − | 20.9698i | −0.437727 | − | 0.758165i | ||||
\(766\) | −4.81597 | + | 8.34150i | −0.174008 | + | 0.301391i | ||||
\(767\) | −0.688369 | + | 9.18565i | −0.0248556 | + | 0.331675i | ||||
\(768\) | 10.4169 | − | 26.5419i | 0.375888 | − | 0.957747i | ||||
\(769\) | 9.07254 | + | 39.7494i | 0.327164 | + | 1.43340i | 0.824510 | + | 0.565847i | \(0.191451\pi\) |
−0.497346 | + | 0.867552i | \(0.665692\pi\) | |||||||
\(770\) | 7.17928 | − | 7.03253i | 0.258723 | − | 0.253435i | ||||
\(771\) | −7.88920 | + | 34.5648i | −0.284123 | + | 1.24482i | ||||
\(772\) | −22.2681 | − | 15.1822i | −0.801448 | − | 0.546418i | ||||
\(773\) | 30.0158 | + | 27.8506i | 1.07959 | + | 1.00171i | 0.999988 | + | 0.00488837i | \(0.00155602\pi\) |
0.0796039 | + | 0.996827i | \(0.474634\pi\) | |||||||
\(774\) | −26.4037 | + | 3.97972i | −0.949063 | + | 0.143048i | ||||
\(775\) | 9.74638 | − | 9.04332i | 0.350100 | − | 0.324846i | ||||
\(776\) | 8.71637 | − | 10.9300i | 0.312899 | − | 0.392363i | ||||
\(777\) | −8.10009 | − | 3.63404i | −0.290589 | − | 0.130371i | ||||
\(778\) | −12.7409 | − | 15.9766i | −0.456785 | − | 0.572790i | ||||
\(779\) | 11.8553 | + | 1.78690i | 0.424761 | + | 0.0640224i | ||||
\(780\) | 15.8705 | − | 10.8203i | 0.568256 | − | 0.387430i | ||||
\(781\) | −5.72974 | − | 14.5991i | −0.205026 | − | 0.522399i | ||||
\(782\) | −11.5442 | + | 3.56091i | −0.412819 | + | 0.127338i | ||||
\(783\) | 5.04324 | 0.180231 | ||||||||
\(784\) | −5.89019 | + | 6.09088i | −0.210364 | + | 0.217531i | ||||
\(785\) | −1.29592 | −0.0462534 | ||||||||
\(786\) | −3.45744 | + | 1.06648i | −0.123323 | + | 0.0380401i | ||||
\(787\) | −16.7244 | − | 42.6131i | −0.596160 | − | 1.51899i | −0.836310 | − | 0.548256i | \(-0.815292\pi\) |
0.240150 | − | 0.970736i | \(-0.422803\pi\) | |||||||
\(788\) | −13.0479 | + | 8.89589i | −0.464811 | + | 0.316903i | ||||
\(789\) | −19.9747 | − | 3.01069i | −0.711116 | − | 0.107184i | ||||
\(790\) | −0.440646 | − | 0.552553i | −0.0156775 | − | 0.0196589i | ||||
\(791\) | 29.9046 | − | 0.809849i | 1.06329 | − | 0.0287949i | ||||
\(792\) | −11.7323 | + | 14.7118i | −0.416889 | + | 0.522762i | ||||
\(793\) | 0.00271780 | − | 0.00252175i | 9.65119e−5 | − | 8.95500e-5i | ||||
\(794\) | 7.12656 | − | 1.07416i | 0.252912 | − | 0.0381204i | ||||
\(795\) | 1.88181 | + | 1.74606i | 0.0667409 | + | 0.0619265i | ||||
\(796\) | 16.5752 | + | 11.3008i | 0.587493 | + | 0.400546i | ||||
\(797\) | 11.0254 | − | 48.3053i | 0.390539 | − | 1.71106i | −0.272225 | − | 0.962234i | \(-0.587759\pi\) |
0.662764 | − | 0.748829i | \(-0.269383\pi\) | |||||||
\(798\) | −26.7995 | − | 17.2278i | −0.948693 | − | 0.609856i | ||||
\(799\) | 2.44872 | + | 10.7286i | 0.0866296 | + | 0.379549i | ||||
\(800\) | 4.75699 | − | 12.1206i | 0.168185 | − | 0.428529i | ||||
\(801\) | −1.91211 | + | 25.5153i | −0.0675610 | + | 0.901539i | ||||
\(802\) | −7.69803 | + | 13.3334i | −0.271827 | + | 0.470818i | ||||
\(803\) | 1.27805 | + | 2.21365i | 0.0451014 | + | 0.0781178i | ||||
\(804\) | 36.7431 | − | 17.6945i | 1.29583 | − | 0.624039i | ||||
\(805\) | −49.1955 | − | 13.7279i | −1.73391 | − | 0.483844i | ||||
\(806\) | −7.02329 | − | 3.38224i | −0.247385 | − | 0.119134i | ||||
\(807\) | 2.88862 | + | 38.5460i | 0.101684 | + | 1.35688i | ||||
\(808\) | −20.6033 | − | 6.35528i | −0.724822 | − | 0.223578i | ||||
\(809\) | 13.6170 | + | 4.20030i | 0.478749 | + | 0.147675i | 0.524732 | − | 0.851268i | \(-0.324166\pi\) |
−0.0459824 | + | 0.998942i | \(0.514642\pi\) | |||||||
\(810\) | 0.844034 | + | 11.2629i | 0.0296563 | + | 0.395736i | ||||
\(811\) | −4.60653 | − | 2.21839i | −0.161757 | − | 0.0778981i | 0.351253 | − | 0.936280i | \(-0.385756\pi\) |
−0.513011 | + | 0.858382i | \(0.671470\pi\) | |||||||
\(812\) | −7.03570 | − | 6.18229i | −0.246905 | − | 0.216956i | ||||
\(813\) | −20.3542 | + | 9.80208i | −0.713854 | + | 0.343774i | ||||
\(814\) | 0.907981 | + | 1.57267i | 0.0318247 | + | 0.0551220i | ||||
\(815\) | 2.86907 | − | 4.96938i | 0.100499 | − | 0.174070i | ||||
\(816\) | 0.557500 | − | 7.43932i | 0.0195164 | − | 0.260428i | ||||
\(817\) | 23.2276 | − | 59.1828i | 0.812629 | − | 2.07055i | ||||
\(818\) | 1.74166 | + | 7.63069i | 0.0608956 | + | 0.266801i | ||||
\(819\) | −17.5330 | + | 5.93257i | −0.612652 | + | 0.207301i | ||||
\(820\) | 1.65360 | − | 7.24491i | 0.0577463 | − | 0.253003i | ||||
\(821\) | −11.2404 | − | 7.66357i | −0.392292 | − | 0.267460i | 0.351070 | − | 0.936349i | \(-0.385818\pi\) |
−0.743363 | + | 0.668889i | \(0.766770\pi\) | |||||||
\(822\) | −6.25851 | − | 5.80705i | −0.218291 | − | 0.202544i | ||||
\(823\) | 6.60778 | − | 0.995963i | 0.230333 | − | 0.0347171i | −0.0328616 | − | 0.999460i | \(-0.510462\pi\) |
0.263194 | + | 0.964743i | \(0.415224\pi\) | |||||||
\(824\) | 19.1664 | − | 17.7838i | 0.667692 | − | 0.619528i | ||||
\(825\) | −7.19287 | + | 9.01957i | −0.250424 | + | 0.314021i | ||||
\(826\) | −2.35641 | − | 9.17202i | −0.0819899 | − | 0.319136i | ||||
\(827\) | −0.896544 | − | 1.12423i | −0.0311759 | − | 0.0390933i | 0.765999 | − | 0.642842i | \(-0.222245\pi\) |
−0.797175 | + | 0.603748i | \(0.793673\pi\) | |||||||
\(828\) | 40.4048 | + | 6.09004i | 1.40416 | + | 0.211644i | ||||
\(829\) | −18.1744 | + | 12.3911i | −0.631221 | + | 0.430360i | −0.836213 | − | 0.548404i | \(-0.815236\pi\) |
0.204992 | + | 0.978764i | \(0.434283\pi\) | |||||||
\(830\) | 10.8499 | + | 27.6450i | 0.376605 | + | 0.959573i | ||||
\(831\) | 39.5117 | − | 12.1877i | 1.37065 | − | 0.422788i | ||||
\(832\) | −3.19386 | −0.110727 | ||||||||
\(833\) | 7.47672 | − | 14.7390i | 0.259053 | − | 0.510677i | ||||
\(834\) | 1.60644 | 0.0556266 | ||||||||
\(835\) | 8.19302 | − | 2.52721i | 0.283531 | − | 0.0874578i | ||||
\(836\) | −6.99391 | − | 17.8202i | −0.241890 | − | 0.616325i | ||||
\(837\) | 10.4738 | − | 7.14089i | 0.362026 | − | 0.246825i | ||||
\(838\) | −10.4263 | − | 1.57152i | −0.360172 | − | 0.0542872i | ||||
\(839\) | −36.0143 | − | 45.1605i | −1.24335 | − | 1.55911i | −0.681280 | − | 0.732023i | \(-0.738577\pi\) |
−0.562070 | − | 0.827090i | \(-0.689995\pi\) | |||||||
\(840\) | −27.8268 | + | 36.9003i | −0.960115 | + | 1.27318i | ||||
\(841\) | −14.5716 | + | 18.2722i | −0.502469 | + | 0.630077i | ||||
\(842\) | 12.2762 | − | 11.3907i | 0.423067 | − | 0.392549i | ||||
\(843\) | 7.82761 | − | 1.17982i | 0.269597 | − | 0.0406352i | ||||
\(844\) | 16.4486 | + | 15.2621i | 0.566185 | + | 0.525343i | ||||
\(845\) | 21.4070 | + | 14.5950i | 0.736422 | + | 0.502084i | ||||
\(846\) | −2.81942 | + | 12.3527i | −0.0969336 | + | 0.424694i | ||||
\(847\) | 18.5672 | + | 2.28640i | 0.637976 | + | 0.0785617i | ||||
\(848\) | 0.0985123 | + | 0.431611i | 0.00338293 | + | 0.0148216i | ||||
\(849\) | −10.7674 | + | 27.4349i | −0.369537 | + | 0.941565i | ||||
\(850\) | −0.280348 | + | 3.74098i | −0.00961585 | + | 0.128315i | ||||
\(851\) | 4.61453 | − | 7.99260i | 0.158184 | − | 0.273983i | ||||
\(852\) | 15.4082 | + | 26.6879i | 0.527878 | + | 0.914311i | ||||
\(853\) | 32.1017 | − | 15.4593i | 1.09914 | − | 0.529318i | 0.205752 | − | 0.978604i | \(-0.434036\pi\) |
0.893388 | + | 0.449286i | \(0.148322\pi\) | |||||||
\(854\) | −0.00181572 | + | 0.00335128i | −6.21325e−5 | + | 0.000114678i | ||||
\(855\) | 59.8074 | + | 28.8017i | 2.04537 | + | 0.984998i | ||||
\(856\) | 1.00662 | + | 13.4324i | 0.0344055 | + | 0.459109i | ||||
\(857\) | 7.72163 | + | 2.38181i | 0.263766 | + | 0.0813610i | 0.423817 | − | 0.905748i | \(-0.360690\pi\) |
−0.160051 | + | 0.987109i | \(0.551166\pi\) | |||||||
\(858\) | 6.46337 | + | 1.99369i | 0.220656 | + | 0.0680633i | ||||
\(859\) | 3.87795 | + | 51.7477i | 0.132314 | + | 1.76561i | 0.529915 | + | 0.848051i | \(0.322224\pi\) |
−0.397601 | + | 0.917558i | \(0.630157\pi\) | |||||||
\(860\) | −35.5045 | − | 17.0981i | −1.21069 | − | 0.583040i | ||||
\(861\) | −6.09427 | + | 11.2482i | −0.207692 | + | 0.383339i | ||||
\(862\) | 15.6718 | − | 7.54712i | 0.533782 | − | 0.257056i | ||||
\(863\) | 1.23616 | + | 2.14109i | 0.0420793 | + | 0.0728834i | 0.886298 | − | 0.463115i | \(-0.153268\pi\) |
−0.844219 | + | 0.535999i | \(0.819935\pi\) | |||||||
\(864\) | 6.20716 | − | 10.7511i | 0.211172 | − | 0.365760i | ||||
\(865\) | −1.75284 | + | 23.3901i | −0.0595984 | + | 0.795286i | ||||
\(866\) | −9.03716 | + | 23.0263i | −0.307095 | + | 0.782466i | ||||
\(867\) | −6.63689 | − | 29.0781i | −0.225401 | − | 0.987545i | ||||
\(868\) | −23.3654 | − | 2.87726i | −0.793073 | − | 0.0976607i | ||||
\(869\) | −0.162679 | + | 0.712745i | −0.00551852 | + | 0.0241782i | ||||
\(870\) | −9.80581 | − | 6.68549i | −0.332448 | − | 0.226659i | ||||
\(871\) | −14.0776 | − | 13.0621i | −0.477002 | − | 0.442593i | ||||
\(872\) | 3.20835 | − | 0.483581i | 0.108649 | − | 0.0163761i | ||||
\(873\) | 15.7063 | − | 14.5733i | 0.531576 | − | 0.493231i | ||||
\(874\) | 20.6495 | − | 25.8937i | 0.698481 | − | 0.875867i | ||||
\(875\) | 11.8666 | − | 15.7360i | 0.401165 | − | 0.531974i | ||||
\(876\) | −3.13151 | − | 3.92678i | −0.105804 | − | 0.132674i | ||||
\(877\) | −11.9326 | − | 1.79855i | −0.402936 | − | 0.0607328i | −0.0555518 | − | 0.998456i | \(-0.517692\pi\) |
−0.347384 | + | 0.937723i | \(0.612930\pi\) | |||||||
\(878\) | −0.715547 | + | 0.487852i | −0.0241485 | + | 0.0164642i | ||||
\(879\) | −22.6219 | − | 57.6398i | −0.763019 | − | 1.94414i | ||||
\(880\) | −6.16476 | + | 1.90158i | −0.207814 | + | 0.0641022i | ||||
\(881\) | 35.1243 | 1.18337 | 0.591685 | − | 0.806170i | \(-0.298463\pi\) | ||||
0.591685 | + | 0.806170i | \(0.298463\pi\) | |||||||
\(882\) | 15.1192 | − | 11.5546i | 0.509089 | − | 0.389062i | ||||
\(883\) | −3.20454 | −0.107841 | −0.0539207 | − | 0.998545i | \(-0.517172\pi\) | ||||
−0.0539207 | + | 0.998545i | \(0.517172\pi\) | |||||||
\(884\) | −6.17418 | + | 1.90448i | −0.207660 | + | 0.0640547i | ||||
\(885\) | 12.8783 | + | 32.8134i | 0.432900 | + | 1.10301i | ||||
\(886\) | −23.3292 | + | 15.9056i | −0.783759 | + | 0.534358i | ||||
\(887\) | 0.803339 | + | 0.121084i | 0.0269735 | + | 0.00406560i | 0.162515 | − | 0.986706i | \(-0.448039\pi\) |
−0.135542 | + | 0.990772i | \(0.543277\pi\) | |||||||
\(888\) | −5.20685 | − | 6.52919i | −0.174731 | − | 0.219105i | ||||
\(889\) | −13.5657 | − | 52.8030i | −0.454981 | − | 1.77095i | ||||
\(890\) | 8.01465 | − | 10.0501i | 0.268652 | − | 0.336879i | ||||
\(891\) | 8.56447 | − | 7.94667i | 0.286921 | − | 0.266223i | ||||
\(892\) | −29.6884 | + | 4.47481i | −0.994042 | + | 0.149828i | ||||
\(893\) | −22.1149 | − | 20.5196i | −0.740046 | − | 0.686663i | ||||
\(894\) | 26.1060 | + | 17.7988i | 0.873115 | + | 0.595280i | ||||
\(895\) | −9.66972 | + | 42.3658i | −0.323223 | + | 1.41613i | ||||
\(896\) | −26.1628 | + | 8.85261i | −0.874036 | + | 0.295745i | ||||
\(897\) | −7.64921 | − | 33.5134i | −0.255400 | − | 1.11898i | ||||
\(898\) | −9.95509 | + | 25.3652i | −0.332206 | + | 0.846446i | ||||
\(899\) | 1.05733 | − | 14.1091i | 0.0352640 | − | 0.470565i | ||||
\(900\) | 6.34429 | − | 10.9886i | 0.211476 | − | 0.366288i | ||||
\(901\) | −0.431758 | − | 0.747827i | −0.0143840 | − | 0.0249137i | ||||
\(902\) | 2.35765 | − | 1.13539i | 0.0785013 | − | 0.0378042i | ||||
\(903\) | 50.9615 | + | 44.7801i | 1.69589 | + | 1.49019i | ||||
\(904\) | 25.3537 | + | 12.2097i | 0.843251 | + | 0.406088i | ||||
\(905\) | −4.08085 | − | 54.4551i | −0.135652 | − | 1.81015i | ||||
\(906\) | 23.5442 | + | 7.26243i | 0.782204 | + | 0.241278i | ||||
\(907\) | −41.2285 | − | 12.7173i | −1.36897 | − | 0.422271i | −0.478809 | − | 0.877919i | \(-0.658931\pi\) |
−0.890160 | + | 0.455648i | \(0.849407\pi\) | |||||||
\(908\) | −2.46000 | − | 32.8264i | −0.0816379 | − | 1.08938i | ||||
\(909\) | −29.7725 | − | 14.3377i | −0.987490 | − | 0.475550i | ||||
\(910\) | 8.95674 | + | 2.49935i | 0.296913 | + | 0.0828527i | ||||
\(911\) | −4.45627 | + | 2.14603i | −0.147643 | + | 0.0711010i | −0.506246 | − | 0.862389i | \(-0.668967\pi\) |
0.358603 | + | 0.933490i | \(0.383253\pi\) | |||||||
\(912\) | 10.2259 | + | 17.7117i | 0.338612 | + | 0.586494i | ||||
\(913\) | 15.3602 | − | 26.6047i | 0.508350 | − | 0.880487i | ||||
\(914\) | −1.41291 | + | 18.8540i | −0.0467350 | + | 0.623635i | ||||
\(915\) | 0.00518342 | − | 0.0132071i | 0.000171358 | − | 0.000436614i | ||||
\(916\) | 1.59171 | + | 6.97372i | 0.0525915 | + | 0.230418i | ||||
\(917\) | 4.32835 | + | 2.78243i | 0.142935 | + | 0.0918838i | ||||
\(918\) | −0.795905 | + | 3.48709i | −0.0262688 | + | 0.115091i | ||||
\(919\) | −0.300414 | − | 0.204819i | −0.00990974 | − | 0.00675635i | 0.558355 | − | 0.829602i | \(-0.311433\pi\) |
−0.568265 | + | 0.822846i | \(0.692385\pi\) | |||||||
\(920\) | −35.2190 | − | 32.6785i | −1.16114 | − | 1.07738i | ||||
\(921\) | 32.5910 | − | 4.91230i | 1.07391 | − | 0.161866i | ||||
\(922\) | −16.5650 | + | 15.3700i | −0.545538 | + | 0.506186i | ||||
\(923\) | 9.04776 | − | 11.3455i | 0.297811 | − | 0.373443i | ||||
\(924\) | 20.4196 | − | 0.552984i | 0.671754 | − | 0.0181918i | ||||
\(925\) | −1.78685 | − | 2.24064i | −0.0587514 | − | 0.0736719i | ||||
\(926\) | −26.4149 | − | 3.98141i | −0.868049 | − | 0.130837i | ||||
\(927\) | 33.1087 | − | 22.5731i | 1.08743 | − | 0.741400i | ||||
\(928\) | −5.06220 | − | 12.8983i | −0.166175 | − | 0.423406i | ||||
\(929\) | 38.0158 | − | 11.7263i | 1.24726 | − | 0.384728i | 0.400298 | − | 0.916385i | \(-0.368907\pi\) |
0.846960 | + | 0.531657i | \(0.178430\pi\) | |||||||
\(930\) | −29.8309 | −0.978193 | ||||||||
\(931\) | 5.82622 | + | 44.9317i | 0.190947 | + | 1.47258i | ||||
\(932\) | 12.4203 | 0.406839 | ||||||||
\(933\) | 37.9686 | − | 11.7118i | 1.24304 | − | 0.383426i | ||||
\(934\) | −8.76421 | − | 22.3309i | −0.286774 | − | 0.730688i | ||||
\(935\) | 10.3970 | − | 7.08858i | 0.340019 | − | 0.231821i | ||||
\(936\) | −17.2167 | − | 2.59500i | −0.562746 | − | 0.0848203i | ||||
\(937\) | 12.2756 | + | 15.3931i | 0.401027 | + | 0.502872i | 0.940811 | − | 0.338932i | \(-0.110066\pi\) |
−0.539784 | + | 0.841803i | \(0.681494\pi\) | |||||||
\(938\) | 18.0132 | + | 8.08149i | 0.588152 | + | 0.263870i | ||||
\(939\) | −20.3161 | + | 25.4756i | −0.662991 | + | 0.831365i | ||||
\(940\) | −13.7074 | + | 12.7186i | −0.447085 | + | 0.414834i | ||||
\(941\) | −35.5605 | + | 5.35988i | −1.15924 | + | 0.174727i | −0.700372 | − | 0.713778i | \(-0.746982\pi\) |
−0.458866 | + | 0.888505i | \(0.651744\pi\) | |||||||
\(942\) | 0.657309 | + | 0.609893i | 0.0214163 | + | 0.0198714i | ||||
\(943\) | −10.9882 | − | 7.49163i | −0.357825 | − | 0.243961i | ||||
\(944\) | −1.35273 | + | 5.92669i | −0.0440275 | + | 0.192897i | ||||
\(945\) | −10.8024 | + | 10.5816i | −0.351404 | + | 0.344221i | ||||
\(946\) | −3.08784 | − | 13.5287i | −0.100394 | − | 0.439856i | ||||
\(947\) | 2.69447 | − | 6.86540i | 0.0875586 | − | 0.223096i | −0.880387 | − | 0.474256i | \(-0.842717\pi\) |
0.967945 | + | 0.251161i | \(0.0808123\pi\) | |||||||
\(948\) | 0.107350 | − | 1.43249i | 0.00348658 | − | 0.0465252i | ||||
\(949\) | −1.18256 | + | 2.04825i | −0.0383874 | + | 0.0664890i | ||||
\(950\) | −5.14224 | − | 8.90663i | −0.166836 | − | 0.288969i | ||||
\(951\) | −71.6892 | + | 34.5237i | −2.32468 | + | 1.11951i | ||||
\(952\) | 12.6032 | − | 9.10206i | 0.408471 | − | 0.294999i | ||||
\(953\) | −46.7676 | − | 22.5221i | −1.51495 | − | 0.729561i | −0.522549 | − | 0.852609i | \(-0.675019\pi\) |
−0.992401 | + | 0.123048i | \(0.960733\pi\) | |||||||
\(954\) | −0.0742995 | − | 0.991458i | −0.00240554 | − | 0.0320996i | ||||
\(955\) | 57.0601 | + | 17.6007i | 1.84642 | + | 0.569546i | ||||
\(956\) | 5.32802 | + | 1.64348i | 0.172320 | + | 0.0531538i | ||||
\(957\) | 0.917435 | + | 12.2423i | 0.0296564 | + | 0.395738i | ||||
\(958\) | 15.7829 | + | 7.60062i | 0.509921 | + | 0.245565i | ||||
\(959\) | −0.579241 | + | 12.1278i | −0.0187047 | + | 0.391626i | ||||
\(960\) | −11.0119 | + | 5.30304i | −0.355406 | + | 0.171155i | ||||
\(961\) | −2.28169 | − | 3.95201i | −0.0736029 | − | 0.127484i | ||||
\(962\) | −0.840140 | + | 1.45517i | −0.0270872 | + | 0.0469164i | ||||
\(963\) | −1.54275 | + | 20.5866i | −0.0497145 | + | 0.663394i | ||||
\(964\) | −5.92209 | + | 15.0892i | −0.190738 | + | 0.485992i | ||||
\(965\) | 10.8072 | + | 47.3494i | 0.347896 | + | 1.52423i | ||||
\(966\) | 18.4920 | + | 30.1156i | 0.594969 | + | 0.968954i | ||||
\(967\) | 4.94753 | − | 21.6765i | 0.159102 | − | 0.697071i | −0.830948 | − | 0.556351i | \(-0.812201\pi\) |
0.990049 | − | 0.140720i | \(-0.0449417\pi\) | |||||||
\(968\) | 14.5397 | + | 9.91297i | 0.467322 | + | 0.318615i | ||||
\(969\) | −29.2426 | − | 27.1332i | −0.939408 | − | 0.871643i | ||||
\(970\) | −10.6438 | + | 1.60430i | −0.341753 | + | 0.0515110i | ||||
\(971\) | −12.3821 | + | 11.4890i | −0.397362 | + | 0.368698i | −0.853395 | − | 0.521265i | \(-0.825460\pi\) |
0.456033 | + | 0.889963i | \(0.349270\pi\) | |||||||
\(972\) | −20.2459 | + | 25.3875i | −0.649386 | + | 0.814304i | ||||
\(973\) | −1.47224 | − | 1.74693i | −0.0471977 | − | 0.0560041i | ||||
\(974\) | −4.38700 | − | 5.50112i | −0.140569 | − | 0.176267i | ||||
\(975\) | −10.5553 | − | 1.59095i | −0.338040 | − | 0.0509513i | ||||
\(976\) | 0.00202163 | − | 0.00137833i | 6.47108e−5 | − | 4.41191e-5i | ||||
\(977\) | 11.2450 | + | 28.6518i | 0.359760 | + | 0.916653i | 0.990104 | + | 0.140337i | \(0.0448186\pi\) |
−0.630344 | + | 0.776316i | \(0.717086\pi\) | |||||||
\(978\) | −3.79394 | + | 1.17028i | −0.121317 | + | 0.0374213i | ||||
\(979\) | −13.2971 | −0.424977 | ||||||||
\(980\) | 28.0418 | − | 1.51992i | 0.895763 | − | 0.0485520i | ||||
\(981\) | 4.97270 | 0.158766 | ||||||||
\(982\) | 9.61061 | − | 2.96448i | 0.306687 | − | 0.0946003i | ||||
\(983\) | 11.5170 | + | 29.3449i | 0.367336 | + | 0.935958i | 0.988356 | + | 0.152162i | \(0.0486237\pi\) |
−0.621019 | + | 0.783795i | \(0.713281\pi\) | |||||||
\(984\) | −9.94294 | + | 6.77899i | −0.316970 | + | 0.216106i | ||||
\(985\) | 28.1397 | + | 4.24138i | 0.896605 | + | 0.135142i | ||||
\(986\) | 2.48907 | + | 3.12120i | 0.0792682 | + | 0.0993992i | ||||
\(987\) | 28.6143 | − | 14.7472i | 0.910803 | − | 0.469407i | ||||
\(988\) | 11.0440 | − | 13.8487i | 0.351356 | − | 0.440587i | ||||
\(989\) | −51.6974 | + | 47.9682i | −1.64388 | + | 1.52530i | ||||
\(990\) | 14.3267 | − | 2.15940i | 0.455332 | − | 0.0686302i | ||||
\(991\) | 13.1263 | + | 12.1794i | 0.416971 | + | 0.386892i | 0.860569 | − | 0.509333i | \(-0.170108\pi\) |
−0.443599 | + | 0.896226i | \(0.646298\pi\) | |||||||
\(992\) | −28.7762 | − | 19.6193i | −0.913646 | − | 0.622914i | ||||
\(993\) | 4.10643 | − | 17.9914i | 0.130314 | − | 0.570941i | ||||
\(994\) | −5.07246 | + | 14.0299i | −0.160889 | + | 0.445000i | ||||
\(995\) | −8.04429 | − | 35.2444i | −0.255021 | − | 1.11732i | ||||
\(996\) | −22.0533 | + | 56.1908i | −0.698784 | + | 1.78047i | ||||
\(997\) | −2.20265 | + | 29.3923i | −0.0697587 | + | 0.930865i | 0.847044 | + | 0.531523i | \(0.178380\pi\) |
−0.916802 | + | 0.399341i | \(0.869239\pi\) | |||||||
\(998\) | 14.8723 | − | 25.7595i | 0.470773 | − | 0.815403i | ||||
\(999\) | −1.36621 | − | 2.36635i | −0.0432250 | − | 0.0748679i |
(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 | 49.2.g.a.25.3 | yes | 48 | |
3.2 | odd | 2 | 441.2.bb.d.172.2 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.417.4 | 48 | |||
7.2 | even | 3 | 343.2.g.i.177.2 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.99.4 | 48 | |||
7.4 | even | 3 | 343.2.e.d.99.4 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.177.2 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.67.3 | 48 | |||
49.2 | even | 21 | inner | 49.2.g.a.2.3 | ✓ | 48 | |
49.10 | odd | 42 | 2401.2.a.i.1.15 | 24 | |||
49.11 | even | 21 | 343.2.e.d.246.4 | 48 | |||
49.13 | odd | 14 | 343.2.g.h.312.2 | 48 | |||
49.36 | even | 7 | 343.2.g.i.312.2 | 48 | |||
49.38 | odd | 42 | 343.2.e.c.246.4 | 48 | |||
49.39 | even | 21 | 2401.2.a.h.1.15 | 24 | |||
49.47 | odd | 42 | 343.2.g.g.128.3 | 48 | |||
147.2 | odd | 42 | 441.2.bb.d.100.2 | 48 | |||
196.51 | odd | 42 | 784.2.bg.c.737.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.2.3 | ✓ | 48 | 49.2 | even | 21 | inner | |
49.2.g.a.25.3 | yes | 48 | 1.1 | even | 1 | trivial | |
343.2.e.c.99.4 | 48 | 7.3 | odd | 6 | |||
343.2.e.c.246.4 | 48 | 49.38 | odd | 42 | |||
343.2.e.d.99.4 | 48 | 7.4 | even | 3 | |||
343.2.e.d.246.4 | 48 | 49.11 | even | 21 | |||
343.2.g.g.67.3 | 48 | 7.6 | odd | 2 | |||
343.2.g.g.128.3 | 48 | 49.47 | odd | 42 | |||
343.2.g.h.177.2 | 48 | 7.5 | odd | 6 | |||
343.2.g.h.312.2 | 48 | 49.13 | odd | 14 | |||
343.2.g.i.177.2 | 48 | 7.2 | even | 3 | |||
343.2.g.i.312.2 | 48 | 49.36 | even | 7 | |||
441.2.bb.d.100.2 | 48 | 147.2 | odd | 42 | |||
441.2.bb.d.172.2 | 48 | 3.2 | odd | 2 | |||
784.2.bg.c.417.4 | 48 | 4.3 | odd | 2 | |||
784.2.bg.c.737.4 | 48 | 196.51 | odd | 42 | |||
2401.2.a.h.1.15 | 24 | 49.39 | even | 21 | |||
2401.2.a.i.1.15 | 24 | 49.10 | odd | 42 |