Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [945,2,Mod(104,945)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(945, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11, 9, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("945.104");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 945 = 3^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 945.cs (of order \(18\), degree \(6\), 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: | \(7.54586299101\) |
Analytic rank: | \(0\) |
Dimension: | \(816\) |
Relative dimension: | \(136\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 104.19 | ||
Character | \(\chi\) | \(=\) | 945.104 |
Dual form | 945.2.cs.b.209.19 |
$q$-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 \(\left(\mathbb{Z}/945\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(596\) | \(757\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.96750 | − | 0.716110i | −1.39123 | − | 0.506366i | −0.465667 | − | 0.884960i | \(-0.654186\pi\) |
−0.925563 | + | 0.378594i | \(0.876408\pi\) | |||||||
\(3\) | −1.00171 | + | 1.41301i | −0.578335 | + | 0.815799i | ||||
\(4\) | 1.82614 | + | 1.53231i | 0.913069 | + | 0.766156i | ||||
\(5\) | −1.23328 | + | 1.86521i | −0.551540 | + | 0.834149i | ||||
\(6\) | 2.98272 | − | 2.06275i | 1.21769 | − | 0.842115i | ||||
\(7\) | −2.38678 | + | 1.14161i | −0.902118 | + | 0.431488i | ||||
\(8\) | −0.401851 | − | 0.696026i | −0.142076 | − | 0.246082i | ||||
\(9\) | −0.993173 | − | 2.83083i | −0.331058 | − | 0.943611i | ||||
\(10\) | 3.76217 | − | 2.78664i | 1.18970 | − | 0.881212i | ||||
\(11\) | −4.44627 | + | 0.783998i | −1.34060 | + | 0.236384i | −0.797519 | − | 0.603294i | \(-0.793854\pi\) |
−0.543084 | + | 0.839679i | \(0.682743\pi\) | |||||||
\(12\) | −3.99442 | + | 1.04542i | −1.15309 | + | 0.301787i | ||||
\(13\) | −3.46319 | + | 1.26050i | −0.960516 | + | 0.349599i | −0.774236 | − | 0.632897i | \(-0.781866\pi\) |
−0.186280 | + | 0.982497i | \(0.559643\pi\) | |||||||
\(14\) | 5.51350 | − | 0.536918i | 1.47355 | − | 0.143497i | ||||
\(15\) | −1.40017 | − | 3.61103i | −0.361524 | − | 0.932363i | ||||
\(16\) | −0.535695 | − | 3.03808i | −0.133924 | − | 0.759520i | ||||
\(17\) | −1.90720 | − | 1.10112i | −0.462564 | − | 0.267061i | 0.250558 | − | 0.968102i | \(-0.419386\pi\) |
−0.713122 | + | 0.701040i | \(0.752719\pi\) | |||||||
\(18\) | −0.0731236 | + | 6.28087i | −0.0172354 | + | 1.48042i | ||||
\(19\) | 4.91222 | − | 2.83607i | 1.12694 | − | 0.650639i | 0.183777 | − | 0.982968i | \(-0.441168\pi\) |
0.943164 | + | 0.332329i | \(0.107834\pi\) | |||||||
\(20\) | −5.11023 | + | 1.51637i | −1.14268 | + | 0.339070i | ||||
\(21\) | 0.777748 | − | 4.51609i | 0.169718 | − | 0.985493i | ||||
\(22\) | 9.30946 | + | 1.64151i | 1.98478 | + | 0.349971i | ||||
\(23\) | −5.48722 | − | 4.60432i | −1.14416 | − | 0.960067i | −0.144596 | − | 0.989491i | \(-0.546188\pi\) |
−0.999567 | + | 0.0294235i | \(0.990633\pi\) | |||||||
\(24\) | 1.38602 | + | 0.129395i | 0.282921 | + | 0.0264127i | ||||
\(25\) | −1.95804 | − | 4.60066i | −0.391608 | − | 0.920132i | ||||
\(26\) | 7.71647 | 1.51332 | ||||||||
\(27\) | 4.99485 | + | 1.43230i | 0.961259 | + | 0.275646i | ||||
\(28\) | −6.10790 | − | 1.57255i | −1.15428 | − | 0.297185i | ||||
\(29\) | −2.81698 | + | 7.73958i | −0.523100 | + | 1.43720i | 0.343952 | + | 0.938987i | \(0.388234\pi\) |
−0.867052 | + | 0.498217i | \(0.833988\pi\) | |||||||
\(30\) | 0.168946 | + | 8.10736i | 0.0308452 | + | 1.48019i | ||||
\(31\) | −4.05814 | + | 4.83631i | −0.728864 | + | 0.868626i | −0.995460 | − | 0.0951822i | \(-0.969657\pi\) |
0.266596 | + | 0.963808i | \(0.414101\pi\) | |||||||
\(32\) | −1.40074 | + | 7.94401i | −0.247619 | + | 1.40432i | ||||
\(33\) | 3.34606 | − | 7.06795i | 0.582475 | − | 1.23037i | ||||
\(34\) | 2.96388 | + | 3.53222i | 0.508302 | + | 0.605770i | ||||
\(35\) | 0.814221 | − | 5.85978i | 0.137628 | − | 0.990484i | ||||
\(36\) | 2.52405 | − | 6.69134i | 0.420674 | − | 1.11522i | ||||
\(37\) | 1.79890 | + | 1.03859i | 0.295737 | + | 0.170744i | 0.640526 | − | 0.767936i | \(-0.278716\pi\) |
−0.344789 | + | 0.938680i | \(0.612050\pi\) | |||||||
\(38\) | −11.6957 | + | 2.06227i | −1.89730 | + | 0.334544i | ||||
\(39\) | 1.68800 | − | 6.15616i | 0.270297 | − | 0.985774i | ||||
\(40\) | 1.79383 | + | 0.108857i | 0.283630 | + | 0.0172119i | ||||
\(41\) | −6.31954 | + | 2.30012i | −0.986946 | + | 0.359219i | −0.784537 | − | 0.620082i | \(-0.787099\pi\) |
−0.202409 | + | 0.979301i | \(0.564877\pi\) | |||||||
\(42\) | −4.76424 | + | 8.32845i | −0.735138 | + | 1.28511i | ||||
\(43\) | 4.69546 | − | 0.827937i | 0.716051 | − | 0.126259i | 0.196259 | − | 0.980552i | \(-0.437121\pi\) |
0.519792 | + | 0.854293i | \(0.326009\pi\) | |||||||
\(44\) | −9.32084 | − | 5.38139i | −1.40517 | − | 0.811275i | ||||
\(45\) | 6.50496 | + | 1.63873i | 0.969703 | + | 0.244287i | ||||
\(46\) | 7.49887 | + | 12.9884i | 1.10565 | + | 1.91504i | ||||
\(47\) | 6.25944 | + | 7.45971i | 0.913034 | + | 1.08811i | 0.995801 | + | 0.0915423i | \(0.0291797\pi\) |
−0.0827675 | + | 0.996569i | \(0.526376\pi\) | |||||||
\(48\) | 4.82943 | + | 2.28632i | 0.697069 | + | 0.330002i | ||||
\(49\) | 4.39345 | − | 5.44955i | 0.627635 | − | 0.778507i | ||||
\(50\) | 0.557859 | + | 10.4540i | 0.0788932 | + | 1.47841i | ||||
\(51\) | 3.46634 | − | 1.59188i | 0.485385 | − | 0.222908i | ||||
\(52\) | −8.25574 | − | 3.00484i | −1.14487 | − | 0.416697i | ||||
\(53\) | 2.90976 | 0.399686 | 0.199843 | − | 0.979828i | \(-0.435957\pi\) | ||||
0.199843 | + | 0.979828i | \(0.435957\pi\) | |||||||
\(54\) | −8.80166 | − | 6.39491i | −1.19775 | − | 0.870237i | ||||
\(55\) | 4.02118 | − | 9.26014i | 0.542215 | − | 1.24864i | ||||
\(56\) | 1.75372 | + | 1.20250i | 0.234351 | + | 0.160691i | ||||
\(57\) | −0.913211 | + | 9.78191i | −0.120958 | + | 1.29564i | ||||
\(58\) | 11.0848 | − | 13.2103i | 1.45550 | − | 1.73460i | ||||
\(59\) | −1.44006 | + | 8.16701i | −0.187480 | + | 1.06325i | 0.735246 | + | 0.677800i | \(0.237066\pi\) |
−0.922727 | + | 0.385455i | \(0.874045\pi\) | |||||||
\(60\) | 2.97631 | − | 8.73974i | 0.384240 | − | 1.12830i | ||||
\(61\) | −0.318741 | − | 0.379861i | −0.0408106 | − | 0.0486362i | 0.745253 | − | 0.666782i | \(-0.232329\pi\) |
−0.786064 | + | 0.618146i | \(0.787884\pi\) | |||||||
\(62\) | 11.4477 | − | 6.60934i | 1.45386 | − | 0.839387i | ||||
\(63\) | 5.60219 | + | 5.62276i | 0.705810 | + | 0.708401i | ||||
\(64\) | 5.35979 | − | 9.28344i | 0.669974 | − | 1.16043i | ||||
\(65\) | 1.91999 | − | 8.01414i | 0.238145 | − | 0.994031i | ||||
\(66\) | −11.6448 | + | 11.5100i | −1.43338 | + | 1.41678i | ||||
\(67\) | 2.04359 | + | 5.61471i | 0.249664 | + | 0.685946i | 0.999699 | + | 0.0245475i | \(0.00781449\pi\) |
−0.750035 | + | 0.661398i | \(0.769963\pi\) | |||||||
\(68\) | −1.79555 | − | 4.93323i | −0.217742 | − | 0.598242i | ||||
\(69\) | 12.0025 | − | 3.14130i | 1.44493 | − | 0.378168i | ||||
\(70\) | −5.79822 | + | 10.9460i | −0.693020 | + | 1.30830i | ||||
\(71\) | −6.10717 | − | 3.52597i | −0.724787 | − | 0.418456i | 0.0917247 | − | 0.995784i | \(-0.470762\pi\) |
−0.816512 | + | 0.577328i | \(0.804095\pi\) | |||||||
\(72\) | −1.57122 | + | 1.82885i | −0.185171 | + | 0.215531i | ||||
\(73\) | 0.632890 | + | 1.09620i | 0.0740742 | + | 0.128300i | 0.900683 | − | 0.434476i | \(-0.143067\pi\) |
−0.826609 | + | 0.562776i | \(0.809733\pi\) | |||||||
\(74\) | −2.79558 | − | 3.33164i | −0.324979 | − | 0.387295i | ||||
\(75\) | 8.46214 | + | 1.84178i | 0.977124 | + | 0.212671i | ||||
\(76\) | 13.3161 | + | 2.34799i | 1.52747 | + | 0.269333i | ||||
\(77\) | 9.71726 | − | 6.94715i | 1.10738 | − | 0.791701i | ||||
\(78\) | −7.72963 | + | 10.9034i | −0.875208 | + | 1.23457i | ||||
\(79\) | 8.96547 | + | 3.26316i | 1.00869 | + | 0.367135i | 0.792931 | − | 0.609311i | \(-0.208554\pi\) |
0.215763 | + | 0.976446i | \(0.430776\pi\) | |||||||
\(80\) | 6.32733 | + | 2.74762i | 0.707417 | + | 0.307193i | ||||
\(81\) | −7.02722 | + | 5.62301i | −0.780802 | + | 0.624779i | ||||
\(82\) | 14.0808 | 1.55497 | ||||||||
\(83\) | −0.743273 | + | 2.04213i | −0.0815848 | + | 0.224152i | −0.973777 | − | 0.227503i | \(-0.926944\pi\) |
0.892193 | + | 0.451655i | \(0.149166\pi\) | |||||||
\(84\) | 8.34034 | − | 7.05526i | 0.910006 | − | 0.769792i | ||||
\(85\) | 4.40594 | − | 2.19934i | 0.477891 | − | 0.238552i | ||||
\(86\) | −9.83120 | − | 1.73351i | −1.06013 | − | 0.186929i | ||||
\(87\) | −8.11430 | − | 11.7332i | −0.869944 | − | 1.25793i | ||||
\(88\) | 2.33242 | + | 2.77967i | 0.248637 | + | 0.296314i | ||||
\(89\) | −5.99817 | − | 10.3891i | −0.635805 | − | 1.10125i | −0.986344 | − | 0.164699i | \(-0.947335\pi\) |
0.350539 | − | 0.936548i | \(-0.385999\pi\) | |||||||
\(90\) | −11.6250 | − | 7.88246i | −1.22538 | − | 0.830885i | ||||
\(91\) | 6.82688 | − | 6.96215i | 0.715651 | − | 0.729832i | ||||
\(92\) | −2.96516 | − | 16.8163i | −0.309139 | − | 1.75322i | ||||
\(93\) | −2.76867 | − | 10.5787i | −0.287097 | − | 1.09696i | ||||
\(94\) | −6.97345 | − | 19.1594i | −0.719257 | − | 1.97614i | ||||
\(95\) | −0.768264 | + | 12.6600i | −0.0788223 | + | 1.29889i | ||||
\(96\) | −9.82180 | − | 9.93682i | −1.00243 | − | 1.01417i | ||||
\(97\) | −2.37599 | − | 13.4749i | −0.241245 | − | 1.36817i | −0.829054 | − | 0.559169i | \(-0.811120\pi\) |
0.587809 | − | 0.809000i | \(-0.299991\pi\) | |||||||
\(98\) | −12.5466 | + | 7.57578i | −1.26739 | + | 0.765269i | ||||
\(99\) | 6.63528 | + | 11.8080i | 0.666871 | + | 1.18675i | ||||
\(100\) | 3.47399 | − | 11.4018i | 0.347399 | − | 1.14018i | ||||
\(101\) | 12.6510 | − | 10.6155i | 1.25882 | − | 1.05628i | 0.263019 | − | 0.964791i | \(-0.415282\pi\) |
0.995806 | − | 0.0914885i | \(-0.0291625\pi\) | |||||||
\(102\) | −7.95998 | + | 0.649743i | −0.788156 | + | 0.0643341i | ||||
\(103\) | −1.18283 | + | 6.70816i | −0.116548 | + | 0.660975i | 0.869425 | + | 0.494066i | \(0.164490\pi\) |
−0.985972 | + | 0.166909i | \(0.946621\pi\) | |||||||
\(104\) | 2.26902 | + | 1.90394i | 0.222496 | + | 0.186696i | ||||
\(105\) | 7.46430 | + | 7.02027i | 0.728441 | + | 0.685109i | ||||
\(106\) | −5.72493 | − | 2.08371i | −0.556055 | − | 0.202387i | ||||
\(107\) | 1.61281 | 0.155916 | 0.0779579 | − | 0.996957i | \(-0.475160\pi\) | ||||
0.0779579 | + | 0.996957i | \(0.475160\pi\) | |||||||
\(108\) | 6.92655 | + | 10.2692i | 0.666508 | + | 0.988159i | ||||
\(109\) | −11.0718 | −1.06048 | −0.530241 | − | 0.847847i | \(-0.677899\pi\) | ||||
−0.530241 | + | 0.847847i | \(0.677899\pi\) | |||||||
\(110\) | −14.5429 | + | 15.3397i | −1.38661 | + | 1.46258i | ||||
\(111\) | −3.26951 | + | 1.50149i | −0.310328 | + | 0.142515i | ||||
\(112\) | 4.74689 | + | 6.63968i | 0.448539 | + | 0.627390i | ||||
\(113\) | 1.99228 | − | 11.2988i | 0.187418 | − | 1.06290i | −0.735391 | − | 0.677643i | \(-0.763001\pi\) |
0.922809 | − | 0.385258i | \(-0.125888\pi\) | |||||||
\(114\) | 8.80166 | − | 18.5919i | 0.824351 | − | 1.74129i | ||||
\(115\) | 15.3553 | − | 4.55641i | 1.43189 | − | 0.424887i | ||||
\(116\) | −17.0036 | + | 9.81706i | −1.57875 | + | 0.911491i | ||||
\(117\) | 7.00780 | + | 8.55182i | 0.647872 | + | 0.790616i | ||||
\(118\) | 8.68180 | − | 15.0373i | 0.799225 | − | 1.38430i | ||||
\(119\) | 5.80912 | + | 0.450857i | 0.532521 | + | 0.0413300i | ||||
\(120\) | −1.95071 | + | 2.42565i | −0.178074 | + | 0.221431i | ||||
\(121\) | 8.81808 | − | 3.20952i | 0.801644 | − | 0.291775i | ||||
\(122\) | 0.355100 | + | 0.975628i | 0.0321492 | + | 0.0883292i | ||||
\(123\) | 3.08023 | − | 11.2336i | 0.277735 | − | 1.01290i | ||||
\(124\) | −14.8215 | + | 2.61342i | −1.33101 | + | 0.234692i | ||||
\(125\) | 10.9960 | + | 2.02174i | 0.983514 | + | 0.180830i | ||||
\(126\) | −6.99578 | − | 15.0745i | −0.623234 | − | 1.34295i | ||||
\(127\) | −7.94667 | + | 4.58801i | −0.705153 | + | 0.407120i | −0.809264 | − | 0.587446i | \(-0.800134\pi\) |
0.104111 | + | 0.994566i | \(0.466800\pi\) | |||||||
\(128\) | −4.83465 | + | 4.05675i | −0.427327 | + | 0.358570i | ||||
\(129\) | −3.53359 | + | 7.46407i | −0.311115 | + | 0.657174i | ||||
\(130\) | −9.51657 | + | 14.3929i | −0.834658 | + | 1.26234i | ||||
\(131\) | 7.10311 | + | 5.96022i | 0.620602 | + | 0.520747i | 0.897993 | − | 0.440010i | \(-0.145025\pi\) |
−0.277391 | + | 0.960757i | \(0.589470\pi\) | |||||||
\(132\) | 16.9407 | − | 7.77984i | 1.47450 | − | 0.677148i | ||||
\(133\) | −8.48670 | + | 12.3769i | −0.735890 | + | 1.07322i | ||||
\(134\) | − | 12.5104i | − | 1.08073i | ||||||
\(135\) | −8.83159 | + | 7.55003i | −0.760102 | + | 0.649803i | ||||
\(136\) | 1.76995i | 0.151772i | ||||||||
\(137\) | 18.3118 | + | 6.66493i | 1.56448 | + | 0.569424i | 0.971757 | − | 0.235983i | \(-0.0758311\pi\) |
0.592722 | + | 0.805407i | \(0.298053\pi\) | |||||||
\(138\) | −25.8644 | − | 2.41463i | −2.20172 | − | 0.205547i | ||||
\(139\) | 4.02795 | − | 4.80032i | 0.341646 | − | 0.407158i | −0.567675 | − | 0.823253i | \(-0.692157\pi\) |
0.909321 | + | 0.416095i | \(0.136602\pi\) | |||||||
\(140\) | 10.4659 | − | 9.45313i | 0.884530 | − | 0.798936i | ||||
\(141\) | −16.8107 | + | 1.37220i | −1.41572 | + | 0.115560i | ||||
\(142\) | 9.49084 | + | 11.3107i | 0.796454 | + | 0.949177i | ||||
\(143\) | 14.4101 | − | 8.31966i | 1.20503 | − | 0.695725i | ||||
\(144\) | −8.06825 | + | 4.53380i | −0.672355 | + | 0.377817i | ||||
\(145\) | −10.9619 | − | 14.7993i | −0.910332 | − | 1.22902i | ||||
\(146\) | −0.460210 | − | 2.60998i | −0.0380873 | − | 0.216004i | ||||
\(147\) | 3.29931 | + | 11.6668i | 0.272123 | + | 0.962263i | ||||
\(148\) | 1.69359 | + | 4.65309i | 0.139212 | + | 0.382482i | ||||
\(149\) | −5.26471 | − | 14.4647i | −0.431302 | − | 1.18499i | −0.945014 | − | 0.327029i | \(-0.893953\pi\) |
0.513713 | − | 0.857962i | \(-0.328270\pi\) | |||||||
\(150\) | −15.3303 | − | 9.68352i | −1.25171 | − | 0.790656i | ||||
\(151\) | 1.40527 | + | 7.96969i | 0.114359 | + | 0.648564i | 0.987065 | + | 0.160318i | \(0.0512520\pi\) |
−0.872706 | + | 0.488246i | \(0.837637\pi\) | |||||||
\(152\) | −3.94796 | − | 2.27935i | −0.320222 | − | 0.184880i | ||||
\(153\) | −1.22291 | + | 6.49256i | −0.0988667 | + | 0.524893i | ||||
\(154\) | −24.0936 | + | 6.70986i | −1.94152 | + | 0.540696i | ||||
\(155\) | −4.01592 | − | 13.5338i | −0.322566 | − | 1.08706i | ||||
\(156\) | 12.5157 | − | 8.65544i | 1.00206 | − | 0.692990i | ||||
\(157\) | −0.754737 | + | 4.28032i | −0.0602345 | + | 0.341607i | −1.00000 | 0.000212988i | \(-0.999932\pi\) | |
0.939765 | + | 0.341820i | \(0.111043\pi\) | |||||||
\(158\) | −15.3027 | − | 12.8405i | −1.21742 | − | 1.02154i | ||||
\(159\) | −2.91472 | + | 4.11150i | −0.231152 | + | 0.326063i | ||||
\(160\) | −13.0898 | − | 12.4099i | −1.03484 | − | 0.981087i | ||||
\(161\) | 18.3531 | + | 4.72524i | 1.44643 | + | 0.372401i | ||||
\(162\) | 17.8527 | − | 6.03099i | 1.40264 | − | 0.473839i | ||||
\(163\) | − | 7.67621i | − | 0.601247i | −0.953743 | − | 0.300624i | \(-0.902805\pi\) | ||
0.953743 | − | 0.300624i | \(-0.0971948\pi\) | |||||||
\(164\) | −15.0649 | − | 5.48316i | −1.17637 | − | 0.428163i | ||||
\(165\) | 9.05660 | + | 14.9579i | 0.705055 | + | 1.16447i | ||||
\(166\) | 2.92477 | − | 3.48561i | 0.227006 | − | 0.270536i | ||||
\(167\) | −8.58297 | − | 1.51341i | −0.664170 | − | 0.117111i | −0.168608 | − | 0.985683i | \(-0.553927\pi\) |
−0.495563 | + | 0.868572i | \(0.665038\pi\) | |||||||
\(168\) | −3.45586 | + | 1.27346i | −0.266625 | + | 0.0982498i | ||||
\(169\) | 0.446254 | − | 0.374451i | 0.0343272 | − | 0.0288039i | ||||
\(170\) | −10.2436 | + | 1.17206i | −0.785651 | + | 0.0898929i | ||||
\(171\) | −12.9071 | − | 11.0890i | −0.987032 | − | 0.847994i | ||||
\(172\) | 9.84322 | + | 5.68299i | 0.750539 | + | 0.433324i | ||||
\(173\) | −15.4779 | + | 2.72917i | −1.17676 | + | 0.207495i | −0.727630 | − | 0.685970i | \(-0.759378\pi\) |
−0.449132 | + | 0.893465i | \(0.648267\pi\) | |||||||
\(174\) | 7.56259 | + | 28.8957i | 0.573319 | + | 2.19058i | ||||
\(175\) | 9.92558 | + | 8.74545i | 0.750303 | + | 0.661094i | ||||
\(176\) | 4.76370 | + | 13.0882i | 0.359077 | + | 0.986557i | ||||
\(177\) | −10.0975 | − | 10.2158i | −0.758976 | − | 0.767864i | ||||
\(178\) | 4.36162 | + | 24.7360i | 0.326917 | + | 1.85404i | ||||
\(179\) | 21.0864 | + | 12.1743i | 1.57607 | + | 0.909947i | 0.995399 | + | 0.0958117i | \(0.0305447\pi\) |
0.580675 | + | 0.814135i | \(0.302789\pi\) | |||||||
\(180\) | 9.36792 | + | 12.9602i | 0.698244 | + | 0.965995i | ||||
\(181\) | −2.40999 | + | 1.39141i | −0.179133 | + | 0.103423i | −0.586885 | − | 0.809670i | \(-0.699646\pi\) |
0.407752 | + | 0.913093i | \(0.366313\pi\) | |||||||
\(182\) | −18.4175 | + | 8.80921i | −1.36520 | + | 0.652982i | ||||
\(183\) | 0.856030 | − | 0.0698744i | 0.0632796 | − | 0.00516527i | ||||
\(184\) | −0.999684 | + | 5.66949i | −0.0736977 | + | 0.417960i | ||||
\(185\) | −4.15575 | + | 2.07445i | −0.305537 | + | 0.152517i | ||||
\(186\) | −2.12820 | + | 22.7963i | −0.156047 | + | 1.67150i | ||||
\(187\) | 9.34321 | + | 3.40065i | 0.683243 | + | 0.248680i | ||||
\(188\) | 23.2139i | 1.69305i | ||||||||
\(189\) | −13.5567 | + | 2.28359i | −0.986108 | + | 0.166107i | ||||
\(190\) | 10.5775 | − | 24.3584i | 0.767374 | − | 1.76714i | ||||
\(191\) | −0.575587 | + | 1.58141i | −0.0416480 | + | 0.114427i | −0.958773 | − | 0.284172i | \(-0.908281\pi\) |
0.917125 | + | 0.398599i | \(0.130503\pi\) | |||||||
\(192\) | 7.74862 | + | 16.8727i | 0.559208 | + | 1.21768i | ||||
\(193\) | 7.11343 | − | 8.47746i | 0.512036 | − | 0.610221i | −0.446642 | − | 0.894713i | \(-0.647380\pi\) |
0.958679 | + | 0.284492i | \(0.0918248\pi\) | |||||||
\(194\) | −4.97476 | + | 28.2133i | −0.357167 | + | 2.02559i | ||||
\(195\) | 9.40076 | + | 10.7408i | 0.673203 | + | 0.769161i | ||||
\(196\) | 16.3735 | − | 3.21950i | 1.16953 | − | 0.229965i | ||||
\(197\) | −4.17651 | − | 7.23392i | −0.297564 | − | 0.515396i | 0.678014 | − | 0.735049i | \(-0.262841\pi\) |
−0.975578 | + | 0.219653i | \(0.929507\pi\) | |||||||
\(198\) | −4.59906 | − | 27.9838i | −0.326841 | − | 1.98872i | ||||
\(199\) | 7.22720 | + | 4.17262i | 0.512322 | + | 0.295790i | 0.733788 | − | 0.679379i | \(-0.237751\pi\) |
−0.221465 | + | 0.975168i | \(0.571084\pi\) | |||||||
\(200\) | −2.41534 | + | 3.21162i | −0.170790 | + | 0.227096i | ||||
\(201\) | −9.98069 | − | 2.73668i | −0.703984 | − | 0.193031i | ||||
\(202\) | −32.4927 | + | 11.8264i | −2.28618 | + | 0.832101i | ||||
\(203\) | −2.11209 | − | 21.6886i | −0.148239 | − | 1.52224i | ||||
\(204\) | 8.76929 | + | 2.40452i | 0.613973 | + | 0.168350i | ||||
\(205\) | 3.50354 | − | 14.6240i | 0.244698 | − | 1.02138i | ||||
\(206\) | 7.13099 | − | 12.3512i | 0.496840 | − | 0.860552i | ||||
\(207\) | −7.58430 | + | 20.1063i | −0.527146 | + | 1.39748i | ||||
\(208\) | 5.68471 | + | 9.84620i | 0.394164 | + | 0.682711i | ||||
\(209\) | −19.6176 | + | 16.4611i | −1.35698 | + | 1.13864i | ||||
\(210\) | −9.65869 | − | 19.1576i | −0.666513 | − | 1.32200i | ||||
\(211\) | 1.31065 | − | 7.43306i | 0.0902288 | − | 0.511713i | −0.905877 | − | 0.423542i | \(-0.860787\pi\) |
0.996105 | − | 0.0881712i | \(-0.0281022\pi\) | |||||||
\(212\) | 5.31362 | + | 4.45865i | 0.364941 | + | 0.306222i | ||||
\(213\) | 11.0998 | − | 5.09748i | 0.760546 | − | 0.349273i | ||||
\(214\) | −3.17319 | − | 1.15495i | −0.216915 | − | 0.0789505i | ||||
\(215\) | −4.24654 | + | 9.77912i | −0.289612 | + | 0.666930i | ||||
\(216\) | −1.01027 | − | 4.05211i | −0.0687398 | − | 0.275711i | ||||
\(217\) | 4.16472 | − | 16.1760i | 0.282719 | − | 1.09810i | ||||
\(218\) | 21.7837 | + | 7.92860i | 1.47538 | + | 0.536993i | ||||
\(219\) | −2.18290 | − | 0.203790i | −0.147507 | − | 0.0137708i | ||||
\(220\) | 21.5326 | − | 10.7486i | 1.45173 | − | 0.724670i | ||||
\(221\) | 7.99296 | + | 1.40937i | 0.537664 | + | 0.0948047i | ||||
\(222\) | 7.50797 | − | 0.612847i | 0.503902 | − | 0.0411316i | ||||
\(223\) | −18.6222 | + | 15.6259i | −1.24703 | + | 1.04639i | −0.250093 | + | 0.968222i | \(0.580461\pi\) |
−0.996941 | + | 0.0781635i | \(0.975094\pi\) | |||||||
\(224\) | −5.72570 | − | 20.5597i | −0.382565 | − | 1.37370i | ||||
\(225\) | −11.0790 | + | 10.1121i | −0.738601 | + | 0.674142i | ||||
\(226\) | −12.0110 | + | 20.8036i | −0.798959 | + | 1.38384i | ||||
\(227\) | −11.8463 | + | 2.08883i | −0.786268 | + | 0.138640i | −0.552346 | − | 0.833615i | \(-0.686267\pi\) |
−0.233922 | + | 0.972255i | \(0.575156\pi\) | |||||||
\(228\) | −16.6566 | + | 16.4638i | −1.10311 | + | 1.09034i | ||||
\(229\) | 0.436253 | + | 1.19860i | 0.0288284 | + | 0.0792054i | 0.953272 | − | 0.302114i | \(-0.0976922\pi\) |
−0.924444 | + | 0.381319i | \(0.875470\pi\) | |||||||
\(230\) | −33.4744 | − | 2.03137i | −2.20724 | − | 0.133945i | ||||
\(231\) | 0.0825299 | + | 20.6895i | 0.00543007 | + | 1.36127i | ||||
\(232\) | 6.51895 | − | 1.14947i | 0.427990 | − | 0.0754662i | ||||
\(233\) | 8.77621 | − | 15.2008i | 0.574949 | − | 0.995841i | −0.421098 | − | 0.907015i | \(-0.638355\pi\) |
0.996047 | − | 0.0888257i | \(-0.0283114\pi\) | |||||||
\(234\) | −7.66379 | − | 21.8440i | −0.500997 | − | 1.42799i | ||||
\(235\) | −21.6336 | + | 2.47528i | −1.41122 | + | 0.161470i | ||||
\(236\) | −15.1442 | + | 12.7075i | −0.985802 | + | 0.827186i | ||||
\(237\) | −13.5916 | + | 9.39954i | −0.882871 | + | 0.610566i | ||||
\(238\) | −11.1066 | − | 5.04703i | −0.719931 | − | 0.327150i | ||||
\(239\) | −3.48022 | + | 4.14756i | −0.225116 | + | 0.268283i | −0.866766 | − | 0.498714i | \(-0.833806\pi\) |
0.641650 | + | 0.766998i | \(0.278250\pi\) | |||||||
\(240\) | −10.2205 | + | 6.18825i | −0.659732 | + | 0.399450i | ||||
\(241\) | −9.89061 | + | 27.1742i | −0.637110 | + | 1.75045i | 0.0235067 | + | 0.999724i | \(0.492517\pi\) |
−0.660617 | + | 0.750723i | \(0.729705\pi\) | |||||||
\(242\) | −19.6479 | −1.26302 | ||||||||
\(243\) | −0.906146 | − | 15.5621i | −0.0581293 | − | 0.998309i | ||||
\(244\) | − | 1.18209i | − | 0.0756755i | ||||||
\(245\) | 4.74623 | + | 14.9155i | 0.303225 | + | 0.952919i | ||||
\(246\) | −14.1048 | + | 19.8963i | −0.899291 | + | 1.26854i | ||||
\(247\) | −13.4371 | + | 16.0137i | −0.854982 | + | 1.01893i | ||||
\(248\) | 4.99696 | + | 0.881099i | 0.317307 | + | 0.0559498i | ||||
\(249\) | −2.14100 | − | 3.09586i | −0.135680 | − | 0.196192i | ||||
\(250\) | −20.1869 | − | 11.8521i | −1.27673 | − | 0.749594i | ||||
\(251\) | −8.93455 | − | 15.4751i | −0.563944 | − | 0.976780i | −0.997147 | − | 0.0754833i | \(-0.975950\pi\) |
0.433203 | − | 0.901296i | \(-0.357383\pi\) | |||||||
\(252\) | 1.61456 | + | 18.8522i | 0.101708 | + | 1.18758i | ||||
\(253\) | 28.0074 | + | 16.1701i | 1.76081 | + | 1.01661i | ||||
\(254\) | 18.9206 | − | 3.33620i | 1.18718 | − | 0.209332i | ||||
\(255\) | −1.30577 | + | 8.42871i | −0.0817704 | + | 0.527826i | ||||
\(256\) | −7.72900 | + | 2.81312i | −0.483062 | + | 0.175820i | ||||
\(257\) | −2.61908 | − | 7.19585i | −0.163374 | − | 0.448865i | 0.830811 | − | 0.556555i | \(-0.187877\pi\) |
−0.994185 | + | 0.107690i | \(0.965655\pi\) | |||||||
\(258\) | 12.2974 | − | 12.1551i | 0.765604 | − | 0.756742i | ||||
\(259\) | −5.47925 | − | 0.425255i | −0.340464 | − | 0.0264241i | ||||
\(260\) | 15.7863 | − | 11.6929i | 0.979026 | − | 0.725163i | ||||
\(261\) | 24.7072 | + | 0.287648i | 1.52934 | + | 0.0178050i | ||||
\(262\) | −9.70717 | − | 16.8133i | −0.599711 | − | 1.03873i | ||||
\(263\) | 8.78731 | − | 7.37343i | 0.541849 | − | 0.454665i | −0.330321 | − | 0.943869i | \(-0.607157\pi\) |
0.872170 | + | 0.489203i | \(0.162712\pi\) | |||||||
\(264\) | −6.26409 | + | 0.511314i | −0.385528 | + | 0.0314692i | ||||
\(265\) | −3.58854 | + | 5.42732i | −0.220443 | + | 0.333397i | ||||
\(266\) | 25.5608 | − | 18.2741i | 1.56723 | − | 1.12046i | ||||
\(267\) | 20.6883 | + | 1.93140i | 1.26610 | + | 0.118200i | ||||
\(268\) | −4.87161 | + | 13.3846i | −0.297581 | + | 0.817597i | ||||
\(269\) | −12.4690 | −0.760248 | −0.380124 | − | 0.924935i | \(-0.624119\pi\) | ||||
−0.380124 | + | 0.924935i | \(0.624119\pi\) | |||||||
\(270\) | 22.7828 | − | 8.53026i | 1.38652 | − | 0.519135i | ||||
\(271\) | 17.0770i | 1.03735i | 0.854970 | + | 0.518677i | \(0.173575\pi\) | ||||
−0.854970 | + | 0.518677i | \(0.826425\pi\) | |||||||
\(272\) | −2.32362 | + | 6.38409i | −0.140890 | + | 0.387092i | ||||
\(273\) | 2.99904 | + | 16.6204i | 0.181510 | + | 1.00592i | ||||
\(274\) | −31.2555 | − | 26.2265i | −1.88821 | − | 1.58440i | ||||
\(275\) | 12.3129 | + | 18.9207i | 0.742496 | + | 1.14096i | ||||
\(276\) | 26.7317 | + | 12.6551i | 1.60906 | + | 0.761750i | ||||
\(277\) | 2.63866 | + | 3.14464i | 0.158542 | + | 0.188943i | 0.839468 | − | 0.543409i | \(-0.182867\pi\) |
−0.680926 | + | 0.732352i | \(0.738422\pi\) | |||||||
\(278\) | −11.3625 | + | 6.56016i | −0.681479 | + | 0.393452i | ||||
\(279\) | 17.7212 | + | 6.68463i | 1.06094 | + | 0.400198i | ||||
\(280\) | −4.40575 | + | 1.78804i | −0.263294 | + | 0.106856i | ||||
\(281\) | 27.8803 | − | 4.91605i | 1.66320 | − | 0.293267i | 0.738582 | − | 0.674164i | \(-0.235496\pi\) |
0.924618 | + | 0.380897i | \(0.124385\pi\) | |||||||
\(282\) | 34.0577 | + | 9.33855i | 2.02811 | + | 0.556102i | ||||
\(283\) | −2.02830 | + | 0.738240i | −0.120570 | + | 0.0438838i | −0.401600 | − | 0.915815i | \(-0.631546\pi\) |
0.281031 | + | 0.959699i | \(0.409324\pi\) | |||||||
\(284\) | −5.74964 | − | 15.7970i | −0.341178 | − | 0.937380i | ||||
\(285\) | −17.1191 | − | 13.7672i | −1.01405 | − | 0.815496i | ||||
\(286\) | −34.3095 | + | 6.04970i | −2.02877 | + | 0.357726i | ||||
\(287\) | 12.4575 | − | 12.7044i | 0.735344 | − | 0.749914i | ||||
\(288\) | 23.8793 | − | 3.92450i | 1.40710 | − | 0.231254i | ||||
\(289\) | −6.07506 | − | 10.5223i | −0.357356 | − | 0.618960i | ||||
\(290\) | 10.9694 | + | 36.9675i | 0.644148 | + | 2.17081i | ||||
\(291\) | 21.4201 | + | 10.1406i | 1.25567 | + | 0.594452i | ||||
\(292\) | −0.523972 | + | 2.97159i | −0.0306631 | + | 0.173899i | ||||
\(293\) | 13.2899 | − | 15.8383i | 0.776405 | − | 0.925283i | −0.222360 | − | 0.974965i | \(-0.571376\pi\) |
0.998765 | + | 0.0496814i | \(0.0158206\pi\) | |||||||
\(294\) | 1.86334 | − | 25.3171i | 0.108672 | − | 1.47652i | ||||
\(295\) | −13.4572 | − | 12.7582i | −0.783510 | − | 0.742814i | ||||
\(296\) | − | 1.66944i | − | 0.0970342i | ||||||
\(297\) | −23.3314 | − | 2.45245i | −1.35382 | − | 0.142305i | ||||
\(298\) | 32.2293i | 1.86699i | ||||||||
\(299\) | 24.8070 | + | 9.02901i | 1.43463 | + | 0.522161i | ||||
\(300\) | 12.6309 | + | 16.3300i | 0.729243 | + | 0.942812i | ||||
\(301\) | −10.2619 | + | 7.33650i | −0.591484 | + | 0.422869i | ||||
\(302\) | 2.94231 | − | 16.6867i | 0.169311 | − | 0.960209i | ||||
\(303\) | 2.32713 | + | 28.5096i | 0.133690 | + | 1.63783i | ||||
\(304\) | −11.2477 | − | 13.4044i | −0.645098 | − | 0.768798i | ||||
\(305\) | 1.10162 | − | 0.126045i | 0.0630785 | − | 0.00721733i | ||||
\(306\) | 7.05547 | − | 11.8984i | 0.403334 | − | 0.680184i | ||||
\(307\) | −2.89678 | + | 5.01737i | −0.165328 | + | 0.286356i | −0.936772 | − | 0.349941i | \(-0.886202\pi\) |
0.771444 | + | 0.636297i | \(0.219535\pi\) | |||||||
\(308\) | 28.3903 | + | 2.20342i | 1.61769 | + | 0.125552i | ||||
\(309\) | −8.29382 | − | 8.39094i | −0.471819 | − | 0.477344i | ||||
\(310\) | −1.79041 | + | 29.5036i | −0.101688 | + | 1.67569i | ||||
\(311\) | 12.4442 | − | 4.52931i | 0.705645 | − | 0.256834i | 0.0358257 | − | 0.999358i | \(-0.488594\pi\) |
0.669819 | + | 0.742524i | \(0.266372\pi\) | |||||||
\(312\) | −4.96317 | + | 1.29896i | −0.280984 | + | 0.0735392i | ||||
\(313\) | −4.72350 | − | 26.7883i | −0.266988 | − | 1.51417i | −0.763313 | − | 0.646029i | \(-0.776429\pi\) |
0.496325 | − | 0.868137i | \(-0.334682\pi\) | |||||||
\(314\) | 4.55012 | − | 7.88105i | 0.256778 | − | 0.444753i | ||||
\(315\) | −17.3967 | + | 3.51485i | −0.980194 | + | 0.198040i | ||||
\(316\) | 11.3720 | + | 19.6969i | 0.639725 | + | 1.10804i | ||||
\(317\) | −19.2423 | + | 16.1462i | −1.08076 | + | 0.906862i | −0.995983 | − | 0.0895379i | \(-0.971461\pi\) |
−0.0847731 | + | 0.996400i | \(0.527017\pi\) | |||||||
\(318\) | 8.67899 | − | 6.00211i | 0.486693 | − | 0.336581i | ||||
\(319\) | 6.45724 | − | 36.6208i | 0.361536 | − | 2.05037i | ||||
\(320\) | 10.7055 | + | 21.4462i | 0.598453 | + | 1.19888i | ||||
\(321\) | −1.61556 | + | 2.27890i | −0.0901716 | + | 0.127196i | ||||
\(322\) | −32.7259 | − | 22.4397i | −1.82374 | − | 1.25052i | ||||
\(323\) | −12.4914 | −0.695043 | ||||||||
\(324\) | −21.4489 | − | 0.499495i | −1.19160 | − | 0.0277497i | ||||
\(325\) | 12.5802 | + | 13.4649i | 0.697824 | + | 0.746896i | ||||
\(326\) | −5.49701 | + | 15.1029i | −0.304451 | + | 0.836473i | ||||
\(327\) | 11.0906 | − | 15.6445i | 0.613314 | − | 0.865141i | ||||
\(328\) | 4.14046 | + | 3.47426i | 0.228618 | + | 0.191834i | ||||
\(329\) | −23.4560 | − | 10.6589i | −1.29317 | − | 0.587642i | ||||
\(330\) | −7.10733 | − | 35.9151i | −0.391246 | − | 1.97706i | ||||
\(331\) | 8.38165 | − | 7.03304i | 0.460697 | − | 0.386571i | −0.382690 | − | 0.923877i | \(-0.625002\pi\) |
0.843387 | + | 0.537306i | \(0.180558\pi\) | |||||||
\(332\) | −4.48649 | + | 2.59028i | −0.246228 | + | 0.142160i | ||||
\(333\) | 1.15347 | − | 6.12388i | 0.0632097 | − | 0.335587i | ||||
\(334\) | 15.8032 | + | 9.12398i | 0.864713 | + | 0.499242i | ||||
\(335\) | −12.9929 | − | 3.11278i | −0.709880 | − | 0.170069i | ||||
\(336\) | −14.1369 | + | 0.0563916i | −0.771231 | + | 0.00307641i | ||||
\(337\) | 3.38123 | + | 9.28985i | 0.184187 | + | 0.506050i | 0.997080 | − | 0.0763631i | \(-0.0243308\pi\) |
−0.812893 | + | 0.582413i | \(0.802109\pi\) | |||||||
\(338\) | −1.14615 | + | 0.417165i | −0.0623424 | + | 0.0226908i | ||||
\(339\) | 13.9696 | + | 14.1332i | 0.758724 | + | 0.767609i | ||||
\(340\) | 11.4159 | + | 2.73497i | 0.619116 | + | 0.148325i | ||||
\(341\) | 14.2520 | − | 24.6851i | 0.771787 | − | 1.33677i | ||||
\(342\) | 17.4538 | + | 31.0604i | 0.943793 | + | 1.67955i | ||||
\(343\) | −4.26493 | + | 18.0225i | −0.230284 | + | 0.973123i | ||||
\(344\) | −2.46314 | − | 2.93546i | −0.132804 | − | 0.158269i | ||||
\(345\) | −8.94326 | + | 26.2613i | −0.481489 | + | 1.41386i | ||||
\(346\) | 32.4071 | + | 5.71424i | 1.74221 | + | 0.307199i | ||||
\(347\) | −19.5786 | − | 16.4284i | −1.05103 | − | 0.881921i | −0.0578309 | − | 0.998326i | \(-0.518418\pi\) |
−0.993202 | + | 0.116405i | \(0.962863\pi\) | |||||||
\(348\) | 3.16108 | − | 33.8601i | 0.169452 | − | 1.81509i | ||||
\(349\) | 6.51740 | − | 17.9064i | 0.348868 | − | 0.958508i | −0.633859 | − | 0.773448i | \(-0.718530\pi\) |
0.982727 | − | 0.185059i | \(-0.0592477\pi\) | |||||||
\(350\) | −13.2658 | − | 24.3144i | −0.709089 | − | 1.29966i | ||||
\(351\) | −19.1035 | + | 1.33567i | −1.01967 | + | 0.0712928i | ||||
\(352\) | − | 36.4194i | − | 1.94116i | ||||||
\(353\) | −5.80576 | + | 15.9512i | −0.309009 | + | 0.848996i | 0.683841 | + | 0.729631i | \(0.260308\pi\) |
−0.992850 | + | 0.119365i | \(0.961914\pi\) | |||||||
\(354\) | 12.5512 | + | 27.3304i | 0.667090 | + | 1.45259i | ||||
\(355\) | 14.1085 | − | 7.04266i | 0.748804 | − | 0.373785i | ||||
\(356\) | 4.96591 | − | 28.1631i | 0.263193 | − | 1.49264i | ||||
\(357\) | −6.45609 | + | 7.75670i | −0.341693 | + | 0.410528i | ||||
\(358\) | −32.7694 | − | 39.0530i | −1.73192 | − | 2.06402i | ||||
\(359\) | 28.1244 | − | 16.2376i | 1.48435 | − | 0.856989i | 0.484507 | − | 0.874787i | \(-0.338999\pi\) |
0.999842 | + | 0.0177981i | \(0.00566560\pi\) | |||||||
\(360\) | −1.47343 | − | 5.18615i | −0.0776564 | − | 0.273334i | ||||
\(361\) | 6.58660 | − | 11.4083i | 0.346663 | − | 0.600439i | ||||
\(362\) | 5.73805 | − | 1.01177i | 0.301585 | − | 0.0531776i | ||||
\(363\) | −4.29805 | + | 15.6750i | −0.225589 | + | 0.822724i | ||||
\(364\) | 23.1350 | − | 2.25294i | 1.21260 | − | 0.118086i | ||||
\(365\) | −2.82517 | − | 0.171444i | −0.147876 | − | 0.00897377i | ||||
\(366\) | −1.73427 | − | 0.475534i | −0.0906519 | − | 0.0248566i | ||||
\(367\) | −2.19754 | − | 12.4629i | −0.114711 | − | 0.650556i | −0.986893 | − | 0.161375i | \(-0.948407\pi\) |
0.872183 | − | 0.489180i | \(-0.162704\pi\) | |||||||
\(368\) | −11.0488 | + | 19.1371i | −0.575959 | + | 0.997591i | ||||
\(369\) | 12.7877 | + | 15.6051i | 0.665699 | + | 0.812371i | ||||
\(370\) | 9.66195 | − | 1.10550i | 0.502301 | − | 0.0574724i | ||||
\(371\) | −6.94495 | + | 3.32181i | −0.360564 | + | 0.172460i | ||||
\(372\) | 11.1540 | − | 23.5607i | 0.578306 | − | 1.22157i | ||||
\(373\) | −10.5128 | − | 1.85370i | −0.544334 | − | 0.0959807i | −0.105282 | − | 0.994442i | \(-0.533574\pi\) |
−0.439052 | + | 0.898462i | \(0.644686\pi\) | |||||||
\(374\) | −15.9475 | − | 13.3815i | −0.824625 | − | 0.691943i | ||||
\(375\) | −13.8715 | + | 13.5123i | −0.716322 | + | 0.697770i | ||||
\(376\) | 2.67679 | − | 7.35442i | 0.138045 | − | 0.379275i | ||||
\(377\) | − | 30.3544i | − | 1.56333i | ||||||
\(378\) | 28.3081 | + | 5.21517i | 1.45601 | + | 0.268239i | ||||
\(379\) | −18.0645 | −0.927910 | −0.463955 | − | 0.885859i | \(-0.653570\pi\) | ||||
−0.463955 | + | 0.885859i | \(0.653570\pi\) | |||||||
\(380\) | −20.8020 | + | 21.9417i | −1.06712 | + | 1.12559i | ||||
\(381\) | 1.47733 | − | 15.8245i | 0.0756860 | − | 0.810715i | ||||
\(382\) | 2.26493 | − | 2.69924i | 0.115884 | − | 0.138105i | ||||
\(383\) | −1.57647 | − | 0.277975i | −0.0805540 | − | 0.0142038i | 0.133226 | − | 0.991086i | \(-0.457466\pi\) |
−0.213780 | + | 0.976882i | \(0.568578\pi\) | |||||||
\(384\) | −0.889322 | − | 10.8951i | −0.0453830 | − | 0.555986i | ||||
\(385\) | 0.973809 | + | 26.6925i | 0.0496299 | + | 1.36038i | ||||
\(386\) | −20.0664 | + | 11.5854i | −1.02136 | + | 0.589680i | ||||
\(387\) | −7.00716 | − | 12.4698i | −0.356194 | − | 0.633875i | ||||
\(388\) | 16.3089 | − | 28.2478i | 0.827957 | − | 1.43406i | ||||
\(389\) | 4.32725 | − | 0.763010i | 0.219400 | − | 0.0386861i | −0.0628675 | − | 0.998022i | \(-0.520025\pi\) |
0.282267 | + | 0.959336i | \(0.408913\pi\) | |||||||
\(390\) | −10.8044 | − | 27.8644i | −0.547102 | − | 1.41097i | ||||
\(391\) | 5.39529 | + | 14.8235i | 0.272852 | + | 0.749654i | ||||
\(392\) | −5.55854 | − | 0.868046i | −0.280749 | − | 0.0438430i | ||||
\(393\) | −15.5371 | + | 4.06636i | −0.783741 | + | 0.205121i | ||||
\(394\) | 3.03698 | + | 17.2235i | 0.153001 | + | 0.867710i | ||||
\(395\) | −17.1434 | + | 12.6981i | −0.862580 | + | 0.638912i | ||||
\(396\) | −5.97661 | + | 31.7304i | −0.300336 | + | 1.59451i | ||||
\(397\) | 10.1088 | + | 17.5090i | 0.507348 | + | 0.878752i | 0.999964 | + | 0.00850506i | \(0.00270728\pi\) |
−0.492616 | + | 0.870247i | \(0.663959\pi\) | |||||||
\(398\) | −11.2314 | − | 13.3851i | −0.562980 | − | 0.670934i | ||||
\(399\) | −8.98750 | − | 24.3898i | −0.449938 | − | 1.22102i | ||||
\(400\) | −12.9283 | + | 8.41324i | −0.646413 | + | 0.420662i | ||||
\(401\) | 15.3228 | − | 18.2610i | 0.765186 | − | 0.911913i | −0.232978 | − | 0.972482i | \(-0.574847\pi\) |
0.998164 | + | 0.0605693i | \(0.0192916\pi\) | |||||||
\(402\) | 17.6772 | + | 12.5317i | 0.881659 | + | 0.625024i | ||||
\(403\) | 7.95796 | − | 21.8643i | 0.396414 | − | 1.08914i | ||||
\(404\) | 39.3688 | 1.95867 | ||||||||
\(405\) | −1.82159 | − | 20.0420i | −0.0905154 | − | 0.995895i | ||||
\(406\) | −11.3759 | + | 44.1847i | −0.564576 | + | 2.19285i | ||||
\(407\) | −8.81265 | − | 3.20754i | −0.436827 | − | 0.158992i | ||||
\(408\) | −2.50094 | − | 1.77296i | −0.123815 | − | 0.0877748i | ||||
\(409\) | 12.2108 | − | 14.5523i | 0.603787 | − | 0.719565i | −0.374406 | − | 0.927265i | \(-0.622153\pi\) |
0.978193 | + | 0.207700i | \(0.0665977\pi\) | |||||||
\(410\) | −17.3656 | + | 26.2637i | −0.857625 | + | 1.29707i | ||||
\(411\) | −27.7606 | + | 19.1983i | −1.36933 | + | 0.946984i | ||||
\(412\) | −12.4390 | + | 10.4376i | −0.612826 | + | 0.514222i | ||||
\(413\) | −5.88644 | − | 21.1369i | −0.289653 | − | 1.04008i | ||||
\(414\) | 29.3204 | − | 34.1278i | 1.44102 | − | 1.67729i | ||||
\(415\) | −2.89234 | − | 3.90487i | −0.141979 | − | 0.191683i | ||||
\(416\) | −5.16237 | − | 29.2772i | −0.253106 | − | 1.43544i | ||||
\(417\) | 2.74806 | + | 10.5000i | 0.134573 | + | 0.514188i | ||||
\(418\) | 50.3855 | − | 18.3388i | 2.46444 | − | 0.896982i | ||||
\(419\) | 4.06130 | − | 1.47819i | 0.198407 | − | 0.0722144i | −0.240905 | − | 0.970549i | \(-0.577444\pi\) |
0.439313 | + | 0.898334i | \(0.355222\pi\) | |||||||
\(420\) | 2.87359 | + | 24.2576i | 0.140217 | + | 1.18365i | ||||
\(421\) | −5.27236 | − | 29.9011i | −0.256959 | − | 1.45729i | −0.790993 | − | 0.611825i | \(-0.790436\pi\) |
0.534034 | − | 0.845463i | \(-0.320675\pi\) | |||||||
\(422\) | −7.90159 | + | 13.6859i | −0.384643 | + | 0.666222i | ||||
\(423\) | 14.9005 | − | 25.1282i | 0.724486 | − | 1.22178i | ||||
\(424\) | −1.16929 | − | 2.02526i | −0.0567856 | − | 0.0983556i | ||||
\(425\) | −1.33151 | + | 10.9304i | −0.0645879 | + | 0.530203i | ||||
\(426\) | −25.4892 | + | 2.08058i | −1.23495 | + | 0.100805i | ||||
\(427\) | 1.19442 | + | 0.542766i | 0.0578019 | + | 0.0262663i | ||||
\(428\) | 2.94521 | + | 2.47132i | 0.142362 | + | 0.119456i | ||||
\(429\) | −2.67892 | + | 28.6954i | −0.129339 | + | 1.38542i | ||||
\(430\) | 15.3580 | − | 16.1994i | 0.740628 | − | 0.781204i | ||||
\(431\) | 8.71009i | 0.419551i | 0.977750 | + | 0.209775i | \(0.0672732\pi\) | ||||
−0.977750 | + | 0.209775i | \(0.932727\pi\) | |||||||
\(432\) | 1.67572 | − | 15.9420i | 0.0806233 | − | 0.767011i | ||||
\(433\) | −4.19676 | −0.201683 | −0.100842 | − | 0.994902i | \(-0.532154\pi\) | ||||
−0.100842 | + | 0.994902i | \(0.532154\pi\) | |||||||
\(434\) | −19.7779 | + | 28.8439i | −0.949368 | + | 1.38455i | ||||
\(435\) | 31.8921 | − | 0.664586i | 1.52911 | − | 0.0318645i | ||||
\(436\) | −20.2186 | − | 16.9654i | −0.968294 | − | 0.812495i | ||||
\(437\) | −40.0126 | − | 7.05530i | −1.91406 | − | 0.337501i | ||||
\(438\) | 4.14892 | + | 1.96415i | 0.198243 | + | 0.0938509i | ||||
\(439\) | −13.4488 | − | 16.0277i | −0.641878 | − | 0.764960i | 0.342788 | − | 0.939413i | \(-0.388629\pi\) |
−0.984666 | + | 0.174453i | \(0.944184\pi\) | |||||||
\(440\) | −8.06121 | + | 0.922350i | −0.384303 | + | 0.0439713i | ||||
\(441\) | −19.7902 | − | 7.02476i | −0.942391 | − | 0.334513i | ||||
\(442\) | −14.7168 | − | 8.49677i | −0.700009 | − | 0.404150i | ||||
\(443\) | −2.89508 | − | 16.4188i | −0.137549 | − | 0.780080i | −0.973051 | − | 0.230592i | \(-0.925934\pi\) |
0.835501 | − | 0.549488i | \(-0.185177\pi\) | |||||||
\(444\) | −8.27132 | − | 2.26798i | −0.392540 | − | 0.107633i | ||||
\(445\) | 26.7754 | + | 1.62485i | 1.26928 | + | 0.0770252i | ||||
\(446\) | 47.8289 | − | 17.4083i | 2.26476 | − | 0.824307i | ||||
\(447\) | 25.7123 | + | 7.05027i | 1.21615 | + | 0.333466i | ||||
\(448\) | −2.19458 | + | 28.2763i | −0.103684 | + | 1.33593i | ||||
\(449\) | −32.8568 | − | 18.9699i | −1.55061 | − | 0.895245i | −0.998092 | − | 0.0617431i | \(-0.980334\pi\) |
−0.552517 | − | 0.833502i | \(-0.686333\pi\) | |||||||
\(450\) | 29.0393 | − | 11.9618i | 1.36893 | − | 0.563884i | ||||
\(451\) | 26.2951 | − | 15.1815i | 1.23819 | − | 0.714869i | ||||
\(452\) | 20.9515 | − | 17.5804i | 0.985474 | − | 0.826911i | ||||
\(453\) | −12.6689 | − | 5.99762i | −0.595236 | − | 0.281793i | ||||
\(454\) | 24.8034 | + | 4.37351i | 1.16408 | + | 0.205259i | ||||
\(455\) | 4.56644 | + | 21.3199i | 0.214078 | + | 0.999491i | ||||
\(456\) | 7.17543 | − | 3.29525i | 0.336020 | − | 0.154314i | ||||
\(457\) | −6.45144 | + | 17.7252i | −0.301786 | + | 0.829149i | 0.692404 | + | 0.721510i | \(0.256551\pi\) |
−0.994190 | + | 0.107640i | \(0.965671\pi\) | |||||||
\(458\) | − | 2.67064i | − | 0.124791i | ||||||
\(459\) | −7.94904 | − | 8.23162i | −0.371029 | − | 0.384219i | ||||
\(460\) | 35.0228 | + | 15.2085i | 1.63295 | + | 0.709100i | ||||
\(461\) | −5.36766 | − | 1.95367i | −0.249997 | − | 0.0909915i | 0.213982 | − | 0.976838i | \(-0.431357\pi\) |
−0.463979 | + | 0.885846i | \(0.653579\pi\) | |||||||
\(462\) | 14.6536 | − | 40.7657i | 0.681748 | − | 1.89659i | ||||
\(463\) | 18.4686 | − | 22.0100i | 0.858308 | − | 1.02289i | −0.141151 | − | 0.989988i | \(-0.545080\pi\) |
0.999459 | − | 0.0329035i | \(-0.0104754\pi\) | |||||||
\(464\) | 25.0225 | + | 4.41214i | 1.16164 | + | 0.204829i | ||||
\(465\) | 23.1461 | + | 7.88239i | 1.07338 | + | 0.365537i | ||||
\(466\) | −28.1526 | + | 23.6229i | −1.30415 | + | 1.09431i | ||||
\(467\) | −14.3300 | + | 8.27343i | −0.663113 | + | 0.382848i | −0.793462 | − | 0.608620i | \(-0.791724\pi\) |
0.130349 | + | 0.991468i | \(0.458390\pi\) | |||||||
\(468\) | −0.306831 | + | 26.3549i | −0.0141833 | + | 1.21826i | ||||
\(469\) | −11.2874 | − | 11.0681i | −0.521204 | − | 0.511077i | ||||
\(470\) | 44.3366 | + | 10.6219i | 2.04510 | + | 0.489953i | ||||
\(471\) | −5.29210 | − | 5.35407i | −0.243847 | − | 0.246703i | ||||
\(472\) | 6.26314 | − | 2.27960i | 0.288284 | − | 0.104927i | ||||
\(473\) | −20.2282 | + | 7.36247i | −0.930094 | + | 0.338527i | ||||
\(474\) | 33.4726 | − | 8.76045i | 1.53745 | − | 0.402381i | ||||
\(475\) | −22.6661 | − | 17.0463i | −1.03999 | − | 0.782138i | ||||
\(476\) | 9.91740 | + | 9.72471i | 0.454563 | + | 0.445731i | ||||
\(477\) | −2.88989 | − | 8.23703i | −0.132319 | − | 0.377148i | ||||
\(478\) | 9.81742 | − | 5.66809i | 0.449038 | − | 0.259252i | ||||
\(479\) | −8.40305 | + | 7.05099i | −0.383945 | + | 0.322168i | −0.814249 | − | 0.580516i | \(-0.802851\pi\) |
0.430304 | + | 0.902684i | \(0.358406\pi\) | |||||||
\(480\) | 30.6473 | − | 6.06488i | 1.39885 | − | 0.276823i | ||||
\(481\) | −7.53907 | − | 1.32934i | −0.343752 | − | 0.0606128i | ||||
\(482\) | 38.9195 | − | 46.3824i | 1.77273 | − | 2.11266i | ||||
\(483\) | −25.0612 | + | 21.1998i | −1.14032 | + | 0.964624i | ||||
\(484\) | 21.0210 | + | 7.65103i | 0.955501 | + | 0.347774i | ||||
\(485\) | 28.0638 | + | 12.1866i | 1.27431 | + | 0.553365i | ||||
\(486\) | −9.36134 | + | 31.2673i | −0.424639 | + | 1.41831i | ||||
\(487\) | 12.6066i | 0.571259i | 0.958340 | + | 0.285630i | \(0.0922027\pi\) | ||||
−0.958340 | + | 0.285630i | \(0.907797\pi\) | |||||||
\(488\) | −0.136307 | + | 0.374499i | −0.00617031 | + | 0.0169528i | ||||
\(489\) | 10.8465 | + | 7.68930i | 0.490497 | + | 0.347722i | ||||
\(490\) | 1.34299 | − | 32.7451i | 0.0606699 | − | 1.47927i | ||||
\(491\) | 33.0592 | + | 5.82924i | 1.49194 | + | 0.263070i | 0.859339 | − | 0.511406i | \(-0.170875\pi\) |
0.632603 | + | 0.774476i | \(0.281986\pi\) | |||||||
\(492\) | 22.8383 | − | 15.7942i | 1.02963 | − | 0.712059i | ||||
\(493\) | 13.8948 | − | 11.6591i | 0.625789 | − | 0.525099i | ||||
\(494\) | 37.9050 | − | 21.8845i | 1.70543 | − | 0.984628i | ||||
\(495\) | −30.2076 | − | 2.18636i | −1.35773 | − | 0.0982696i | ||||
\(496\) | 16.8670 | + | 9.73817i | 0.757351 | + | 0.437257i | ||||
\(497\) | 18.6018 | + | 1.44372i | 0.834403 | + | 0.0647596i | ||||
\(498\) | 1.99543 | + | 7.62428i | 0.0894172 | + | 0.341652i | ||||
\(499\) | −3.61055 | + | 1.31413i | −0.161630 | + | 0.0588286i | −0.421568 | − | 0.906797i | \(-0.638520\pi\) |
0.259938 | + | 0.965625i | \(0.416298\pi\) | |||||||
\(500\) | 16.9823 | + | 20.5413i | 0.759473 | + | 0.918636i | ||||
\(501\) | 10.7361 | − | 10.6118i | 0.479652 | − | 0.474100i | ||||
\(502\) | 6.49682 | + | 36.8453i | 0.289967 | + | 1.64449i | ||||
\(503\) | 18.6458 | + | 10.7652i | 0.831376 | + | 0.479995i | 0.854324 | − | 0.519741i | \(-0.173972\pi\) |
−0.0229475 | + | 0.999737i | \(0.507305\pi\) | |||||||
\(504\) | 1.66234 | − | 6.15878i | 0.0740464 | − | 0.274334i | ||||
\(505\) | 4.19786 | + | 36.6887i | 0.186802 | + | 1.63263i | ||||
\(506\) | −43.5250 | − | 51.8710i | −1.93492 | − | 2.30595i | ||||
\(507\) | 0.0820872 | + | 1.00565i | 0.00364562 | + | 0.0446624i | ||||
\(508\) | −21.5420 | − | 3.79843i | −0.955771 | − | 0.168528i | ||||
\(509\) | −5.32142 | − | 4.46520i | −0.235868 | − | 0.197917i | 0.517191 | − | 0.855870i | \(-0.326978\pi\) |
−0.753058 | + | 0.657954i | \(0.771422\pi\) | |||||||
\(510\) | 8.60498 | − | 15.6484i | 0.381035 | − | 0.692922i | ||||
\(511\) | −2.76200 | − | 1.89387i | −0.122184 | − | 0.0837798i | ||||
\(512\) | 29.8437 | 1.31892 | ||||||||
\(513\) | 28.5979 | − | 7.12997i | 1.26263 | − | 0.314796i | ||||
\(514\) | 16.0334i | 0.707201i | ||||||||
\(515\) | −11.0534 | − | 10.4793i | −0.487070 | − | 0.461772i | ||||
\(516\) | −17.8901 | + | 8.21586i | −0.787568 | + | 0.361683i | ||||
\(517\) | −33.6796 | − | 28.2605i | −1.48123 | − | 1.24290i | ||||
\(518\) | 10.4759 | + | 4.76043i | 0.460283 | + | 0.209161i | ||||
\(519\) | 11.6480 | − | 24.6042i | 0.511288 | − | 1.08000i | ||||
\(520\) | −6.34959 | + | 1.88413i | −0.278448 | + | 0.0826244i | ||||
\(521\) | −7.63869 | − | 13.2306i | −0.334657 | − | 0.579643i | 0.648762 | − | 0.760991i | \(-0.275287\pi\) |
−0.983419 | + | 0.181349i | \(0.941954\pi\) | |||||||
\(522\) | −48.4053 | − | 18.2590i | −2.11864 | − | 0.799176i | ||||
\(523\) | 11.4024 | − | 19.7495i | 0.498592 | − | 0.863587i | −0.501407 | − | 0.865212i | \(-0.667184\pi\) |
0.999999 | + | 0.00162509i | \(0.000517283\pi\) | |||||||
\(524\) | 3.83835 | + | 21.7684i | 0.167679 | + | 0.950956i | ||||
\(525\) | −22.2999 | + | 5.26455i | −0.973246 | + | 0.229764i | ||||
\(526\) | −22.5692 | + | 8.21451i | −0.984064 | + | 0.358170i | ||||
\(527\) | 13.0650 | − | 4.75529i | 0.569123 | − | 0.207144i | ||||
\(528\) | −23.2655 | − | 6.37934i | −1.01250 | − | 0.277625i | ||||
\(529\) | 4.91586 | + | 27.8792i | 0.213733 | + | 1.21214i | ||||
\(530\) | 10.9470 | − | 8.10843i | 0.475507 | − | 0.352208i | ||||
\(531\) | 24.5497 | − | 4.03467i | 1.06537 | − | 0.175090i | ||||
\(532\) | −34.4632 | + | 9.59771i | −1.49417 | + | 0.416113i | ||||
\(533\) | 18.9865 | − | 15.9315i | 0.822395 | − | 0.690072i | ||||
\(534\) | −39.3211 | − | 18.6151i | −1.70159 | − | 0.805556i | ||||
\(535\) | −1.98904 | + | 3.00823i | −0.0859937 | + | 0.130057i | ||||
\(536\) | 3.08676 | − | 3.67866i | 0.133328 | − | 0.158894i | ||||
\(537\) | −38.3247 | + | 17.6002i | −1.65383 | + | 0.759507i | ||||
\(538\) | 24.5327 | + | 8.92917i | 1.05768 | + | 0.384964i | ||||
\(539\) | −15.2620 | + | 27.6747i | −0.657382 | + | 1.19203i | ||||
\(540\) | −27.6967 | + | 0.254646i | −1.19188 | + | 0.0109582i | ||||
\(541\) | 34.3030 | 1.47480 | 0.737400 | − | 0.675457i | \(-0.236054\pi\) | ||||
0.737400 | + | 0.675457i | \(0.236054\pi\) | |||||||
\(542\) | 12.2290 | − | 33.5989i | 0.525281 | − | 1.44320i | ||||
\(543\) | 0.448032 | − | 4.79912i | 0.0192269 | − | 0.205950i | ||||
\(544\) | 11.4188 | − | 13.6084i | 0.489578 | − | 0.583456i | ||||
\(545\) | 13.6546 | − | 20.6512i | 0.584898 | − | 0.884600i | ||||
\(546\) | 6.00147 | − | 34.8483i | 0.256839 | − | 1.49137i | ||||
\(547\) | −5.91721 | − | 7.05186i | −0.253002 | − | 0.301516i | 0.624563 | − | 0.780975i | \(-0.285277\pi\) |
−0.877564 | + | 0.479459i | \(0.840833\pi\) | |||||||
\(548\) | 23.2270 | + | 40.2304i | 0.992210 | + | 1.71856i | ||||
\(549\) | −0.758757 | + | 1.27957i | −0.0323830 | + | 0.0546107i | ||||
\(550\) | −10.6763 | − | 46.0438i | −0.455238 | − | 1.96331i | ||||
\(551\) | 8.11240 | + | 46.0077i | 0.345600 | + | 1.95999i | ||||
\(552\) | −7.00964 | − | 7.09172i | −0.298350 | − | 0.301844i | ||||
\(553\) | −25.1239 | + | 2.44662i | −1.06838 | + | 0.104041i | ||||
\(554\) | −2.93965 | − | 8.07663i | −0.124894 | − | 0.343143i | ||||
\(555\) | 1.23162 | − | 7.95008i | 0.0522794 | − | 0.337462i | ||||
\(556\) | 14.7112 | − | 2.59398i | 0.623893 | − | 0.110009i | ||||
\(557\) | 16.6747 | − | 28.8815i | 0.706531 | − | 1.22375i | −0.259605 | − | 0.965715i | \(-0.583592\pi\) |
0.966136 | − | 0.258033i | \(-0.0830744\pi\) | |||||||
\(558\) | −30.0795 | − | 25.8423i | −1.27337 | − | 1.09399i | ||||
\(559\) | −15.2177 | + | 8.78593i | −0.643639 | + | 0.371605i | ||||
\(560\) | −18.2387 | + | 0.665391i | −0.770724 | + | 0.0281179i | ||||
\(561\) | −14.1643 | + | 9.79556i | −0.598016 | + | 0.413569i | ||||
\(562\) | −58.3748 | − | 10.2931i | −2.46239 | − | 0.434186i | ||||
\(563\) | −16.6369 | + | 19.8271i | −0.701163 | + | 0.835614i | −0.992658 | − | 0.120959i | \(-0.961403\pi\) |
0.291494 | + | 0.956573i | \(0.405848\pi\) | |||||||
\(564\) | −32.8014 | − | 23.2535i | −1.38119 | − | 0.979148i | ||||
\(565\) | 18.6176 | + | 17.6506i | 0.783249 | + | 0.742567i | ||||
\(566\) | 4.51933 | 0.189962 | ||||||||
\(567\) | 10.3531 | − | 21.4432i | 0.434791 | − | 0.900531i | ||||
\(568\) | 5.66766i | 0.237810i | ||||||||
\(569\) | −15.3291 | + | 42.1163i | −0.642628 | + | 1.76561i | 0.000682401 | 1.00000i | \(0.499783\pi\) | |
−0.643310 | + | 0.765606i | \(0.722439\pi\) | |||||||
\(570\) | 23.8230 | + | 39.3460i | 0.997834 | + | 1.64802i | ||||
\(571\) | −2.04055 | − | 1.71223i | −0.0853944 | − | 0.0716544i | 0.599091 | − | 0.800681i | \(-0.295529\pi\) |
−0.684486 | + | 0.729026i | \(0.739973\pi\) | |||||||
\(572\) | 39.0631 | + | 6.88788i | 1.63331 | + | 0.287997i | ||||
\(573\) | −1.65798 | − | 2.39742i | −0.0692629 | − | 0.100154i | ||||
\(574\) | −33.6078 | + | 16.0748i | −1.40276 | + | 0.670950i | ||||
\(575\) | −10.4387 | + | 34.2603i | −0.435325 | + | 1.42875i | ||||
\(576\) | −31.6030 | − | 5.95262i | −1.31679 | − | 0.248026i | ||||
\(577\) | −14.5617 | + | 25.2217i | −0.606213 | + | 1.04999i | 0.385646 | + | 0.922647i | \(0.373979\pi\) |
−0.991859 | + | 0.127345i | \(0.959355\pi\) | |||||||
\(578\) | 4.41752 | + | 25.0530i | 0.183745 | + | 1.04207i | ||||
\(579\) | 4.85314 | + | 18.5432i | 0.201690 | + | 0.770631i | ||||
\(580\) | 2.65935 | − | 43.8226i | 0.110423 | − | 1.81963i | ||||
\(581\) | −0.557284 | − | 5.72264i | −0.0231200 | − | 0.237415i | ||||
\(582\) | −34.8823 | − | 35.2908i | −1.44592 | − | 1.46285i | ||||
\(583\) | −12.9376 | + | 2.28124i | −0.535820 | + | 0.0944794i | ||||
\(584\) | 0.508654 | − | 0.881015i | 0.0210483 | − | 0.0364567i | ||||
\(585\) | −24.5935 | + | 2.52427i | −1.01682 | + | 0.104366i | ||||
\(586\) | −37.4898 | + | 21.6447i | −1.54869 | + | 0.894136i | ||||
\(587\) | 9.87308 | + | 11.7663i | 0.407506 | + | 0.485647i | 0.930293 | − | 0.366817i | \(-0.119552\pi\) |
−0.522787 | + | 0.852463i | \(0.675108\pi\) | |||||||
\(588\) | −11.8522 | + | 26.3608i | −0.488777 | + | 1.08710i | ||||
\(589\) | −6.21838 | + | 35.2662i | −0.256224 | + | 1.45312i | ||||
\(590\) | 17.3407 | + | 34.7386i | 0.713906 | + | 1.43017i | ||||
\(591\) | 14.4052 | + | 1.34483i | 0.592551 | + | 0.0553189i | ||||
\(592\) | 2.19167 | − | 6.02157i | 0.0900771 | − | 0.247485i | ||||
\(593\) | 34.6784i | 1.42407i | 0.702143 | + | 0.712036i | \(0.252227\pi\) | ||||
−0.702143 | + | 0.712036i | \(0.747773\pi\) | |||||||
\(594\) | 44.1482 | + | 21.5330i | 1.81142 | + | 0.883511i | ||||
\(595\) | −8.00522 | + | 10.2792i | −0.328182 | + | 0.421407i | ||||
\(596\) | 12.5503 | − | 34.4816i | 0.514080 | − | 1.41242i | ||||
\(597\) | −13.1355 | + | 6.03233i | −0.537599 | + | 0.246887i | ||||
\(598\) | −42.3419 | − | 35.5291i | −1.73149 | − | 1.45289i | ||||
\(599\) | −14.1986 | − | 2.50360i | −0.580140 | − | 0.102294i | −0.124125 | − | 0.992267i | \(-0.539613\pi\) |
−0.456015 | + | 0.889972i | \(0.650724\pi\) | |||||||
\(600\) | −2.11859 | − | 6.62999i | −0.0864910 | − | 0.270668i | ||||
\(601\) | −21.0441 | − | 25.0794i | −0.858407 | − | 1.02301i | −0.999455 | − | 0.0330066i | \(-0.989492\pi\) |
0.141048 | − | 0.990003i | \(-0.454953\pi\) | |||||||
\(602\) | 25.4439 | − | 7.08591i | 1.03702 | − | 0.288800i | ||||
\(603\) | 13.8647 | − | 11.3614i | 0.564613 | − | 0.462673i | ||||
\(604\) | −9.64583 | + | 16.7071i | −0.392483 | + | 0.679801i | ||||
\(605\) | −4.88873 | + | 20.4058i | −0.198755 | + | 0.829615i | ||||
\(606\) | 15.8374 | − | 57.7589i | 0.643349 | − | 2.34630i | ||||
\(607\) | −1.55390 | + | 0.565575i | −0.0630710 | + | 0.0229560i | −0.373363 | − | 0.927685i | \(-0.621795\pi\) |
0.310292 | + | 0.950641i | \(0.399573\pi\) | |||||||
\(608\) | 15.6490 | + | 42.9953i | 0.634652 | + | 1.74369i | ||||
\(609\) | 32.7618 | + | 18.7412i | 1.32757 | + | 0.759431i | ||||
\(610\) | −2.25769 | − | 0.540886i | −0.0914113 | − | 0.0218998i | ||||
\(611\) | −31.0806 | − | 17.9444i | −1.25739 | − | 0.725952i | ||||
\(612\) | −12.1818 | + | 9.98244i | −0.492422 | + | 0.403516i | ||||
\(613\) | 0.0468704 | − | 0.0270606i | 0.00189308 | − | 0.00109297i | −0.499053 | − | 0.866571i | \(-0.666319\pi\) |
0.500946 | + | 0.865478i | \(0.332985\pi\) | |||||||
\(614\) | 9.29238 | − | 7.79724i | 0.375010 | − | 0.314671i | ||||
\(615\) | 17.1543 | + | 19.5995i | 0.691727 | + | 0.790326i | ||||
\(616\) | −8.74028 | − | 3.97175i | −0.352156 | − | 0.160026i | ||||
\(617\) | 14.6348 | + | 12.2801i | 0.589175 | + | 0.494377i | 0.887946 | − | 0.459948i | \(-0.152132\pi\) |
−0.298770 | + | 0.954325i | \(0.596576\pi\) | |||||||
\(618\) | 10.3092 | + | 22.4484i | 0.414698 | + | 0.903009i | ||||
\(619\) | 12.2042 | − | 33.5306i | 0.490526 | − | 1.34771i | −0.409673 | − | 0.912232i | \(-0.634357\pi\) |
0.900200 | − | 0.435478i | \(-0.143421\pi\) | |||||||
\(620\) | 13.4044 | − | 30.8683i | 0.538334 | − | 1.23970i | ||||
\(621\) | −20.8130 | − | 30.8572i | −0.835199 | − | 1.23826i | ||||
\(622\) | −27.7274 | −1.11177 | ||||||||
\(623\) | 26.1767 | + | 17.9490i | 1.04875 | + | 0.719113i | ||||
\(624\) | −19.6072 | − | 1.83047i | −0.784914 | − | 0.0732774i | ||||
\(625\) | −17.3322 | + | 18.0166i | −0.693286 | + | 0.720663i | ||||
\(626\) | −9.88991 | + | 56.0885i | −0.395280 | + | 2.24175i | ||||
\(627\) | −3.60861 | − | 44.2090i | −0.144114 | − | 1.76554i | ||||
\(628\) | −7.93704 | + | 6.65997i | −0.316723 | + | 0.265762i | ||||
\(629\) | −2.28724 | − | 3.96161i | −0.0911982 | − | 0.157960i | ||||
\(630\) | 36.7450 | + | 5.54250i | 1.46396 | + | 0.220819i | ||||
\(631\) | −4.85472 | + | 8.40861i | −0.193263 | + | 0.334742i | −0.946330 | − | 0.323203i | \(-0.895240\pi\) |
0.753067 | + | 0.657944i | \(0.228574\pi\) | |||||||
\(632\) | −1.33153 | − | 7.55150i | −0.0529656 | − | 0.300383i | ||||
\(633\) | 9.19008 | + | 9.29769i | 0.365273 | + | 0.369550i | ||||
\(634\) | 49.4217 | − | 17.9880i | 1.96279 | − | 0.714395i | ||||
\(635\) | 1.24285 | − | 20.4805i | 0.0493209 | − | 0.812745i | ||||
\(636\) | −11.6228 | + | 3.04192i | −0.460873 | + | 0.120620i | ||||
\(637\) | −8.34619 | + | 24.4108i | −0.330688 | + | 0.967190i | ||||
\(638\) | −38.9291 | + | 67.4272i | −1.54122 | + | 2.66947i | ||||
\(639\) | −3.91597 | + | 20.7903i | −0.154913 | + | 0.822450i | ||||
\(640\) | −1.60423 | − | 14.0208i | −0.0634129 | − | 0.554220i | ||||
\(641\) | −29.7726 | − | 35.4815i | −1.17595 | − | 1.40144i | −0.897517 | − | 0.440980i | \(-0.854631\pi\) |
−0.278428 | − | 0.960457i | \(-0.589813\pi\) | |||||||
\(642\) | 4.81055 | − | 3.32682i | 0.189857 | − | 0.131299i | ||||
\(643\) | 3.12370 | − | 17.7154i | 0.123187 | − | 0.698626i | −0.859182 | − | 0.511670i | \(-0.829027\pi\) |
0.982368 | − | 0.186955i | \(-0.0598620\pi\) | |||||||
\(644\) | 26.2748 | + | 36.7517i | 1.03537 | + | 1.44822i | ||||
\(645\) | −9.56417 | − | 15.7962i | −0.376589 | − | 0.621974i | ||||
\(646\) | 24.5769 | + | 8.94525i | 0.966964 | + | 0.351946i | ||||
\(647\) | 2.57630i | 0.101285i | 0.998717 | + | 0.0506424i | \(0.0161269\pi\) | ||||
−0.998717 | + | 0.0506424i | \(0.983873\pi\) | |||||||
\(648\) | 6.73765 | + | 2.63151i | 0.264680 | + | 0.103376i | ||||
\(649\) | − | 37.4418i | − | 1.46972i | ||||||
\(650\) | −15.1092 | − | 35.5009i | −0.592630 | − | 1.39246i | ||||
\(651\) | 18.6850 | + | 22.0884i | 0.732323 | + | 0.865712i | ||||
\(652\) | 11.7624 | − | 14.0178i | 0.460649 | − | 0.548981i | ||||
\(653\) | 6.21509 | − | 35.2475i | 0.243215 | − | 1.37934i | −0.581386 | − | 0.813628i | \(-0.697489\pi\) |
0.824601 | − | 0.565714i | \(-0.191399\pi\) | |||||||
\(654\) | −33.0240 | + | 22.8383i | −1.29134 | + | 0.893049i | ||||
\(655\) | −19.8772 | + | 5.89820i | −0.776667 | + | 0.230462i | ||||
\(656\) | 10.3733 | + | 17.9671i | 0.405010 | + | 0.701497i | ||||
\(657\) | 2.47458 | − | 2.88032i | 0.0965426 | − | 0.112372i | ||||
\(658\) | 38.5167 | + | 37.7683i | 1.50154 | + | 1.47236i | ||||
\(659\) | 18.6704 | − | 3.29210i | 0.727297 | − | 0.128242i | 0.202273 | − | 0.979329i | \(-0.435167\pi\) |
0.525024 | + | 0.851087i | \(0.324056\pi\) | |||||||
\(660\) | −6.38154 | + | 41.1927i | −0.248401 | + | 1.60342i | ||||
\(661\) | −1.71768 | − | 4.71928i | −0.0668099 | − | 0.183559i | 0.901795 | − | 0.432164i | \(-0.142250\pi\) |
−0.968605 | + | 0.248606i | \(0.920028\pi\) | |||||||
\(662\) | −21.5273 | + | 7.83529i | −0.836682 | + | 0.304527i | ||||
\(663\) | −9.99804 | + | 9.88232i | −0.388292 | + | 0.383797i | ||||
\(664\) | 1.72006 | − | 0.303292i | 0.0667511 | − | 0.0117700i | ||||
\(665\) | −12.6191 | − | 31.0937i | −0.489349 | − | 1.20576i | ||||
\(666\) | −6.65482 | + | 11.2227i | −0.257869 | + | 0.434871i | ||||
\(667\) | 51.0929 | − | 29.4985i | 1.97832 | − | 1.14219i | ||||
\(668\) | −13.3547 | − | 15.9155i | −0.516708 | − | 0.615789i | ||||
\(669\) | −3.42550 | − | 41.9658i | −0.132438 | − | 1.62249i | ||||
\(670\) | 23.3345 | + | 15.4288i | 0.901489 | + | 0.596065i | ||||
\(671\) | 1.71502 | + | 1.43907i | 0.0662076 | + | 0.0555548i | ||||
\(672\) | 34.7865 | + | 12.5043i | 1.34192 | + | 0.482365i | ||||
\(673\) | −10.9530 | + | 30.0930i | −0.422205 | + | 1.16000i | 0.528237 | + | 0.849097i | \(0.322853\pi\) |
−0.950442 | + | 0.310902i | \(0.899369\pi\) | |||||||
\(674\) | − | 20.6991i | − | 0.797298i | ||||||
\(675\) | −3.19059 | − | 25.7841i | −0.122806 | − | 0.992431i | ||||
\(676\) | 1.38870 | 0.0534114 | ||||||||
\(677\) | −1.82703 | + | 5.01973i | −0.0702185 | + | 0.192924i | −0.969838 | − | 0.243751i | \(-0.921622\pi\) |
0.899619 | + | 0.436675i | \(0.143844\pi\) | |||||||
\(678\) | −17.3642 | − | 37.8107i | −0.666868 | − | 1.45211i | ||||
\(679\) | 21.0541 | + | 29.4492i | 0.807980 | + | 1.13016i | ||||
\(680\) | −3.30133 | − | 2.18284i | −0.126600 | − | 0.0837081i | ||||
\(681\) | 8.91500 | − | 18.8313i | 0.341623 | − | 0.721617i | ||||
\(682\) | −45.7179 | + | 38.3619i | −1.75063 | + | 1.46895i | ||||
\(683\) | 25.1727 | + | 43.6004i | 0.963207 | + | 1.66832i | 0.714358 | + | 0.699781i | \(0.246719\pi\) |
0.248849 | + | 0.968542i | \(0.419948\pi\) | |||||||
\(684\) | −6.57845 | − | 40.0277i | −0.251533 | − | 1.53050i | ||||
\(685\) | −35.0150 | + | 25.9356i | −1.33786 | + | 0.990948i | ||||
\(686\) | 21.2973 | − | 32.4050i | 0.813135 | − | 1.23723i | ||||
\(687\) | −2.13062 | − | 0.584211i | −0.0812882 | − | 0.0222890i | ||||
\(688\) | −5.03068 | − | 13.8217i | −0.191793 | − | 0.526946i | ||||
\(689\) | −10.0770 | + | 3.66774i | −0.383905 | + | 0.139730i | ||||
\(690\) | 36.4018 | − | 45.2647i | 1.38579 | − | 1.72320i | ||||
\(691\) | 36.5482 | − | 6.44444i | 1.39036 | − | 0.245158i | 0.572183 | − | 0.820126i | \(-0.306097\pi\) |
0.818176 | + | 0.574968i | \(0.194985\pi\) | |||||||
\(692\) | −32.4467 | − | 18.7331i | −1.23344 | − | 0.712126i | ||||
\(693\) | −29.3171 | − | 20.6082i | −1.11367 | − | 0.782841i | ||||
\(694\) | 26.7562 | + | 46.3432i | 1.01565 | + | 1.75916i | ||||
\(695\) | 3.98603 | + | 13.4331i | 0.151199 | + | 0.509547i | ||||
\(696\) | −4.90587 | + | 10.3627i | −0.185956 | + | 0.392799i | ||||
\(697\) | 14.5853 | + | 2.57179i | 0.552459 | + | 0.0974135i | ||||
\(698\) | −25.6459 | + | 30.5636i | −0.970712 | + | 1.15685i | ||||
\(699\) | 12.6877 | + | 27.6276i | 0.479893 | + | 1.04497i | ||||
\(700\) | 4.72473 | + | 31.1795i | 0.178578 | + | 1.17847i | ||||
\(701\) | 4.36553i | 0.164884i | 0.996596 | + | 0.0824419i | \(0.0262719\pi\) | ||||
−0.996596 | + | 0.0824419i | \(0.973728\pi\) | |||||||
\(702\) | 38.5426 | + | 11.0523i | 1.45470 | + | 0.417142i | ||||
\(703\) | 11.7821 | 0.444371 | ||||||||
\(704\) | −16.5529 | + | 45.4788i | −0.623862 | + | 1.71405i | ||||
\(705\) | 18.1729 | − | 33.0479i | 0.684431 | − | 1.24466i | ||||
\(706\) | 22.8456 | − | 27.2263i | 0.859806 | − | 1.02468i | ||||
\(707\) | −18.0765 | + | 39.7794i | −0.679837 | + | 1.49606i | ||||
\(708\) | −2.78573 | − | 34.1280i | −0.104694 | − | 1.28261i | ||||
\(709\) | 2.58861 | − | 2.17210i | 0.0972174 | − | 0.0815751i | −0.592884 | − | 0.805288i | \(-0.702011\pi\) |
0.690101 | + | 0.723713i | \(0.257566\pi\) | |||||||
\(710\) | −32.8018 | + | 3.75313i | −1.23103 | + | 0.140852i | ||||
\(711\) | 0.333209 | − | 28.6206i | 0.0124963 | − | 1.07336i | ||||
\(712\) | −4.82074 | + | 8.34977i | −0.180665 | + | 0.312921i | ||||
\(713\) | 44.5358 | − | 7.85286i | 1.66788 | − | 0.294092i | ||||
\(714\) | 18.2570 | − | 10.6380i | 0.683250 | − | 0.398117i | ||||
\(715\) | −2.25371 | + | 37.1383i | −0.0842841 | + | 1.38889i | ||||
\(716\) | 19.8520 | + | 54.5429i | 0.741904 | + | 2.03836i | ||||
\(717\) | −2.37438 | − | 9.07220i | −0.0886727 | − | 0.338808i | ||||
\(718\) | −66.9626 | + | 11.8073i | −2.49902 | + | 0.440645i | ||||
\(719\) | −15.1075 | + | 26.1669i | −0.563413 | + | 0.975860i | 0.433782 | + | 0.901018i | \(0.357179\pi\) |
−0.997195 | + | 0.0748424i | \(0.976155\pi\) | |||||||
\(720\) | 1.49391 | − | 20.6405i | 0.0556747 | − | 0.769225i | ||||
\(721\) | −4.83495 | − | 17.3612i | −0.180063 | − | 0.646566i | ||||
\(722\) | −21.1287 | + | 17.7291i | −0.786330 | + | 0.659809i | ||||
\(723\) | −28.4899 | − | 41.1961i | −1.05955 | − | 1.53210i | ||||
\(724\) | −6.53305 | − | 1.15195i | −0.242799 | − | 0.0428120i | ||||
\(725\) | 41.1229 | − | 2.19446i | 1.52727 | − | 0.0815003i | ||||
\(726\) | 19.6814 | − | 27.7626i | 0.730446 | − | 1.03037i | ||||
\(727\) | −9.33068 | − | 3.39609i | −0.346056 | − | 0.125954i | 0.163144 | − | 0.986602i | \(-0.447836\pi\) |
−0.509200 | + | 0.860648i | \(0.670059\pi\) | |||||||
\(728\) | −7.58922 | − | 1.95394i | −0.281275 | − | 0.0724178i | ||||
\(729\) | 22.8970 | + | 14.3082i | 0.848038 | + | 0.529935i | ||||
\(730\) | 5.43574 | + | 2.36045i | 0.201186 | + | 0.0873641i | ||||
\(731\) | −9.86684 | − | 3.59124i | −0.364938 | − | 0.132827i | ||||
\(732\) | 1.67030 | + | 1.18410i | 0.0617360 | + | 0.0437658i | ||||
\(733\) | −15.4420 | − | 12.9574i | −0.570363 | − | 0.478592i | 0.311403 | − | 0.950278i | \(-0.399201\pi\) |
−0.881766 | + | 0.471686i | \(0.843646\pi\) | |||||||
\(734\) | −4.60113 | + | 26.0943i | −0.169831 | + | 0.963158i | ||||
\(735\) | −25.8301 | − | 8.23453i | −0.952756 | − | 0.303735i | ||||
\(736\) | 44.2629 | − | 37.1410i | 1.63155 | − | 1.36904i | ||||
\(737\) | −13.4883 | − | 23.3624i | −0.496847 | − | 0.860564i | ||||
\(738\) | −13.9847 | − | 39.8604i | −0.514783 | − | 1.46728i | ||||
\(739\) | −3.19346 | + | 5.53123i | −0.117473 | + | 0.203470i | −0.918766 | − | 0.394803i | \(-0.870813\pi\) |
0.801292 | + | 0.598273i | \(0.204146\pi\) | |||||||
\(740\) | −10.7677 | − | 2.57966i | −0.395828 | − | 0.0948303i | ||||
\(741\) | −9.16745 | − | 35.0277i | −0.336775 | − | 1.28677i | ||||
\(742\) | 16.0429 | − | 1.56230i | 0.588955 | − | 0.0573538i | ||||
\(743\) | 17.5737 | − | 6.39631i | 0.644717 | − | 0.234658i | 0.00109279 | − | 0.999999i | \(-0.499652\pi\) |
0.643624 | + | 0.765342i | \(0.277430\pi\) | |||||||
\(744\) | −6.25048 | + | 6.17813i | −0.229154 | + | 0.226501i | ||||
\(745\) | 33.4725 | + | 8.01918i | 1.22634 | + | 0.293800i | ||||
\(746\) | 19.3565 | + | 11.1755i | 0.708692 | + | 0.409164i | ||||
\(747\) | 6.51911 | + | 0.0758973i | 0.238522 | + | 0.00277694i | ||||
\(748\) | 11.8511 | + | 20.5268i | 0.433320 | + | 0.750533i | ||||
\(749\) | −3.84941 | + | 1.84120i | −0.140655 | + | 0.0672759i | ||||
\(750\) | 36.9684 | − | 16.6518i | 1.34990 | − | 0.608038i | ||||
\(751\) | −7.00662 | + | 39.7365i | −0.255675 | + | 1.45001i | 0.538659 | + | 0.842524i | \(0.318931\pi\) |
−0.794334 | + | 0.607482i | \(0.792180\pi\) | |||||||
\(752\) | 19.3101 | − | 23.0128i | 0.704165 | − | 0.839191i | ||||
\(753\) | 30.8162 | + | 2.87691i | 1.12300 | + | 0.104841i | ||||
\(754\) | −21.7371 | + | 59.7222i | −0.791619 | + | 2.17496i | ||||
\(755\) | −16.5983 | − | 7.20773i | −0.604072 | − | 0.262316i | ||||
\(756\) | −28.2557 | − | 16.6030i | −1.02765 | − | 0.603846i | ||||
\(757\) | 27.5160i | 1.00009i | 0.866000 | + | 0.500044i | \(0.166683\pi\) | ||||
−0.866000 | + | 0.500044i | \(0.833317\pi\) | |||||||
\(758\) | 35.5418 | + | 12.9362i | 1.29094 | + | 0.469862i | ||||
\(759\) | −50.9037 | + | 23.3770i | −1.84769 | + | 0.848532i | ||||
\(760\) | 9.12042 | − | 4.55270i | 0.330832 | − | 0.165144i | ||||
\(761\) | 6.08100 | − | 34.4870i | 0.220436 | − | 1.25015i | −0.650785 | − | 0.759262i | \(-0.725560\pi\) |
0.871221 | − | 0.490892i | \(-0.163329\pi\) | |||||||
\(762\) | −14.2387 | + | 30.0768i | −0.515815 | + | 1.08957i | ||||
\(763\) | 26.4259 | − | 12.6397i | 0.956681 | − | 0.457586i | ||||
\(764\) | −3.47432 | + | 2.00590i | −0.125696 | + | 0.0725708i | ||||
\(765\) | −10.6018 | − | 10.2881i | −0.383310 | − | 0.371969i | ||||
\(766\) | 2.90264 | + | 1.67584i | 0.104877 | + | 0.0605506i | ||||
\(767\) | −5.30729 | − | 30.0991i | −0.191635 | − | 1.08682i | ||||
\(768\) | 3.76722 | − | 13.7390i | 0.135938 | − | 0.495765i | ||||
\(769\) | 15.8244 | + | 43.4773i | 0.570644 | + | 1.56783i | 0.803490 | + | 0.595318i | \(0.202974\pi\) |
−0.232847 | + | 0.972513i | \(0.574804\pi\) | |||||||
\(770\) | 17.1988 | − | 53.2148i | 0.619803 | − | 1.91773i | ||||
\(771\) | 12.7913 | + | 3.50735i | 0.460669 | + | 0.126314i | ||||
\(772\) | 25.9802 | − | 4.58102i | 0.935049 | − | 0.164874i | ||||
\(773\) | −15.4782 | − | 8.93634i | −0.556712 | − | 0.321418i | 0.195113 | − | 0.980781i | \(-0.437493\pi\) |
−0.751825 | + | 0.659363i | \(0.770826\pi\) | |||||||
\(774\) | 4.85682 | + | 29.5521i | 0.174575 | + | 1.06223i | ||||
\(775\) | 30.1962 | + | 9.20045i | 1.08468 | + | 0.330490i | ||||
\(776\) | −8.42408 | + | 7.06864i | −0.302407 | + | 0.253749i | ||||
\(777\) | 6.08948 | − | 7.31623i | 0.218459 | − | 0.262468i | ||||
\(778\) | −9.06024 | − | 1.59756i | −0.324825 | − | 0.0572755i | ||||
\(779\) | −24.5197 | + | 29.2214i | −0.878508 | + | 1.04696i | ||||
\(780\) | 0.708908 | + | 34.0190i | 0.0253830 | + | 1.21808i | ||||
\(781\) | 29.9185 | + | 10.8894i | 1.07057 | + | 0.389655i | ||||
\(782\) | − | 33.0287i | − | 1.18110i | ||||||
\(783\) | −25.1558 | + | 34.6233i | −0.898994 | + | 1.23734i | ||||
\(784\) | −18.9097 | − | 10.4283i | −0.675347 | − | 0.372441i | ||||
\(785\) | −7.05291 | − | 6.68658i | −0.251729 | − | 0.238654i | ||||
\(786\) | 33.4811 | + | 3.12570i | 1.19423 | + | 0.111490i | ||||
\(787\) | 5.71659 | + | 4.79679i | 0.203774 | + | 0.170987i | 0.738964 | − | 0.673745i | \(-0.235315\pi\) |
−0.535190 | + | 0.844732i | \(0.679760\pi\) | |||||||
\(788\) | 3.45775 | − | 19.6099i | 0.123177 | − | 0.698572i | ||||
\(789\) | 1.61640 | + | 19.8025i | 0.0575455 | + | 0.704989i | ||||
\(790\) | 42.8229 | − | 12.7069i | 1.52357 | − | 0.452092i | ||||
\(791\) | 8.14369 | + | 29.2422i | 0.289556 | + | 1.03973i | ||||
\(792\) | 5.55228 | − | 9.36338i | 0.197292 | − | 0.332713i | ||||
\(793\) | 1.58267 | + | 0.913757i | 0.0562024 | + | 0.0324485i | ||||
\(794\) | −7.35071 | − | 41.6879i | −0.260867 | − | 1.47945i | ||||
\(795\) | −4.07417 | − | 10.5072i | −0.144496 | − | 0.372652i | ||||
\(796\) | 6.80410 | + | 18.6941i | 0.241165 | + | 0.662595i | ||||
\(797\) | −4.32804 | − | 11.8912i | −0.153307 | − | 0.421207i | 0.839135 | − | 0.543923i | \(-0.183062\pi\) |
−0.992442 | + | 0.122716i | \(0.960840\pi\) | |||||||
\(798\) | 0.217091 | + | 54.4229i | 0.00768494 | + | 1.92655i | ||||
\(799\) | −3.72395 | − | 21.1196i | −0.131744 | − | 0.747157i | ||||
\(800\) | 39.2904 | − | 9.11035i | 1.38913 | − | 0.322100i | ||||
\(801\) | −23.4527 | + | 27.2980i | −0.828660 | + | 0.964529i | ||||
\(802\) | −43.2245 | + | 24.9557i | −1.52631 | + | 0.881216i | ||||
\(803\) | −3.67342 | − | 4.37781i | −0.129632 | − | 0.154490i | ||||
\(804\) | −14.0327 | − | 20.2911i | −0.494894 | − | 0.715612i | ||||
\(805\) | −31.4481 | + | 28.4050i | −1.10840 | + | 1.00114i | ||||
\(806\) | −31.3145 | + | 37.3192i | −1.10301 | + | 1.31451i | ||||
\(807\) | 12.4903 | − | 17.6188i | 0.439678 | − | 0.620210i | ||||
\(808\) | −12.4725 | − | 4.53961i | −0.438780 | − | 0.159703i | ||||
\(809\) | 18.8468i | 0.662618i | 0.943522 | + | 0.331309i | \(0.107490\pi\) | ||||
−0.943522 | + | 0.331309i | \(0.892510\pi\) | |||||||
\(810\) | −10.7683 | + | 40.7370i | −0.378360 | + | 1.43135i | ||||
\(811\) | 31.0285i | 1.08956i | 0.838579 | + | 0.544779i | \(0.183387\pi\) | ||||
−0.838579 | + | 0.544779i | \(0.816613\pi\) | |||||||
\(812\) | 29.3767 | − | 42.8427i | 1.03092 | − | 1.50349i | ||||
\(813\) | −24.1299 | − | 17.1061i | −0.846273 | − | 0.599938i | ||||
\(814\) | 15.0419 | + | 12.6217i | 0.527219 | + | 0.442389i | ||||
\(815\) | 14.3178 | + | 9.46692i | 0.501530 | + | 0.331612i | ||||
\(816\) | −6.69318 | − | 9.67826i | −0.234308 | − | 0.338807i | ||||
\(817\) | 20.7171 | − | 17.3837i | 0.724798 | − | 0.608178i | ||||
\(818\) | −34.4458 | + | 19.8873i | −1.20437 | + | 0.695343i | ||||
\(819\) | −26.4889 | − | 12.4111i | −0.925599 | − | 0.433680i | ||||
\(820\) | 28.8065 | − | 21.3369i | 1.00597 | − | 0.745117i | ||||
\(821\) | 4.74489 | − | 0.836651i | 0.165598 | − | 0.0291993i | −0.0902345 | − | 0.995921i | \(-0.528762\pi\) |
0.255832 | + | 0.966721i | \(0.417651\pi\) | |||||||
\(822\) | 68.3669 | − | 17.8930i | 2.38457 | − | 0.624090i | ||||
\(823\) | −6.86958 | − | 18.8740i | −0.239458 | − | 0.657906i | −0.999963 | − | 0.00857426i | \(-0.997271\pi\) |
0.760505 | − | 0.649332i | \(-0.224952\pi\) | |||||||
\(824\) | 5.14437 | − | 1.87240i | 0.179213 | − | 0.0652281i | ||||
\(825\) | −39.0690 | − | 1.55477i | −1.36021 | − | 0.0541300i | ||||
\(826\) | −3.55478 | + | 45.8020i | −0.123687 | + | 1.59366i | ||||
\(827\) | −20.4523 | + | 35.4245i | −0.711197 | + | 1.23183i | 0.253211 | + | 0.967411i | \(0.418513\pi\) |
−0.964408 | + | 0.264418i | \(0.914820\pi\) | |||||||
\(828\) | −44.6591 | + | 25.0953i | −1.55201 | + | 0.872122i | ||||
\(829\) | −4.07579 | + | 2.35316i | −0.141558 | + | 0.0817285i | −0.569106 | − | 0.822264i | \(-0.692711\pi\) |
0.427548 | + | 0.903992i | \(0.359377\pi\) | |||||||
\(830\) | 2.89434 | + | 9.75406i | 0.100464 | + | 0.338568i | ||||
\(831\) | −7.08655 | + | 0.578448i | −0.245830 | + | 0.0200661i | ||||
\(832\) | −6.86023 | + | 38.9063i | −0.237836 | + | 1.34883i | ||||
\(833\) | −14.3798 | + | 5.55566i | −0.498231 | + | 0.192492i | ||||
\(834\) | 2.11236 | − | 22.6267i | 0.0731451 | − | 0.783497i | ||||
\(835\) | 13.4080 | − | 14.1426i | 0.464004 | − | 0.489425i | ||||
\(836\) | −61.0480 | −2.11139 | ||||||||
\(837\) | −27.1969 | + | 18.3441i | −0.940061 | + | 0.634066i | ||||
\(838\) | −9.04914 | −0.312597 | ||||||||
\(839\) | 3.64095 | + | 1.32520i | 0.125700 | + | 0.0457509i | 0.404104 | − | 0.914713i | \(-0.367583\pi\) |
−0.278405 | + | 0.960464i | \(0.589806\pi\) | |||||||
\(840\) | 1.88676 | − | 8.01644i | 0.0650993 | − | 0.276594i | ||||
\(841\) | −29.7505 | − | 24.9636i | −1.02588 | − | 0.860815i | ||||
\(842\) | −11.0391 | + | 62.6058i | −0.380432 | + | 2.15754i | ||||
\(843\) | −20.9814 | + | 44.3195i | −0.722639 | + | 1.52644i | ||||
\(844\) | 13.7832 | − | 11.5655i | 0.474437 | − | 0.398100i | ||||
\(845\) | 0.148076 | + | 1.29416i | 0.00509396 | + | 0.0445205i | ||||
\(846\) | −47.3112 | + | 38.7693i | −1.62659 | + | 1.33292i | ||||
\(847\) | −17.3828 | + | 17.7272i | −0.597280 | + | 0.609115i | ||||
\(848\) | −1.55874 | − | 8.84007i | −0.0535275 | − | 0.303569i | ||||
\(849\) | 0.988619 | − | 3.60550i | 0.0339293 | − | 0.123740i | ||||
\(850\) | 10.4471 | − | 20.5520i | 0.358334 | − | 0.704929i | ||||
\(851\) | −5.08892 | − | 13.9817i | −0.174446 | − | 0.479286i | ||||
\(852\) | 28.0807 | + | 7.69967i | 0.962029 | + | 0.263786i | ||||
\(853\) | −1.91732 | − | 10.8736i | −0.0656477 | − | 0.372307i | −0.999878 | − | 0.0156356i | \(-0.995023\pi\) |
0.934230 | − | 0.356671i | \(-0.116088\pi\) | |||||||
\(854\) | −1.96133 | − | 1.92322i | −0.0671154 | − | 0.0658114i | ||||
\(855\) | 36.6014 | − | 10.3987i | 1.25174 | − | 0.355630i | ||||
\(856\) | −0.648107 | − | 1.12255i | −0.0221518 | − | 0.0383681i | ||||
\(857\) | 18.2665 | + | 21.7692i | 0.623973 | + | 0.743622i | 0.981748 | − | 0.190186i | \(-0.0609091\pi\) |
−0.357775 | + | 0.933808i | \(0.616465\pi\) | |||||||
\(858\) | 25.8198 | − | 54.5396i | 0.881473 | − | 1.86195i | ||||
\(859\) | −27.4050 | − | 4.83224i | −0.935047 | − | 0.164874i | −0.314691 | − | 0.949194i | \(-0.601901\pi\) |
−0.620356 | + | 0.784320i | \(0.713012\pi\) | |||||||
\(860\) | −22.7394 | + | 11.3510i | −0.775408 | + | 0.387066i | ||||
\(861\) | 5.47257 | + | 30.3286i | 0.186505 | + | 1.03359i | ||||
\(862\) | 6.23739 | − | 17.1371i | 0.212446 | − | 0.583691i | ||||
\(863\) | −22.1229 | −0.753074 | −0.376537 | − | 0.926402i | \(-0.622885\pi\) | ||||
−0.376537 | + | 0.926402i | \(0.622885\pi\) | |||||||
\(864\) | −18.3747 | + | 37.6728i | −0.625120 | + | 1.28166i | ||||
\(865\) | 13.9981 | − | 32.2354i | 0.475949 | − | 1.09604i | ||||
\(866\) | 8.25711 | + | 3.00534i | 0.280588 | + | 0.102126i | ||||
\(867\) | 20.9535 | + | 1.95616i | 0.711619 | + | 0.0664347i | ||||
\(868\) | 32.3921 | − | 23.1580i | 1.09946 | − | 0.786034i | ||||
\(869\) | −42.4213 | − | 7.48001i | −1.43904 | − | 0.253742i | ||||
\(870\) | −63.2235 | − | 21.5307i | −2.14348 | − | 0.729958i | ||||
\(871\) | −14.1547 | − | 16.8689i | −0.479612 | − | 0.571580i | ||||
\(872\) | 4.44920 | + | 7.70623i | 0.150669 | + | 0.260966i | ||||
\(873\) | −35.7854 | + | 20.1089i | −1.21115 | + | 0.680584i | ||||
\(874\) | 73.6722 | + | 42.5347i | 2.49200 | + | 1.43876i | ||||
\(875\) | −28.5531 | + | 7.72774i | −0.965272 | + | 0.261245i | ||||
\(876\) | −3.67401 | − | 3.71704i | −0.124133 | − | 0.125587i | ||||
\(877\) | −5.67982 | − | 15.6052i | −0.191794 | − | 0.526949i | 0.806103 | − | 0.591776i | \(-0.201573\pi\) |
−0.997897 | + | 0.0648263i | \(0.979351\pi\) | |||||||
\(878\) | 14.9829 | + | 41.1653i | 0.505649 | + | 1.38926i | ||||
\(879\) | 9.06704 | + | 34.6440i | 0.305824 | + | 1.16851i | ||||
\(880\) | −30.2872 | − | 7.25604i | −1.02098 | − | 0.244601i | ||||
\(881\) | 7.35278 | − | 12.7354i | 0.247721 | − | 0.429066i | −0.715172 | − | 0.698949i | \(-0.753652\pi\) |
0.962893 | + | 0.269883i | \(0.0869849\pi\) | |||||||
\(882\) | 33.9067 | + | 27.9932i | 1.14170 | + | 0.942579i | ||||
\(883\) | 18.8685 | − | 10.8938i | 0.634977 | − | 0.366604i | −0.147700 | − | 0.989032i | \(-0.547187\pi\) |
0.782677 | + | 0.622428i | \(0.213854\pi\) | |||||||
\(884\) | 12.4366 | + | 14.8214i | 0.418290 | + | 0.498498i | ||||
\(885\) | 31.5076 | − | 6.23513i | 1.05912 | − | 0.209592i | ||||
\(886\) | −6.06161 | + | 34.3771i | −0.203644 | + | 1.15492i | ||||
\(887\) | 2.87146 | − | 3.42207i | 0.0964142 | − | 0.114902i | −0.715680 | − | 0.698428i | \(-0.753883\pi\) |
0.812094 | + | 0.583526i | \(0.198328\pi\) | |||||||
\(888\) | 2.35893 | + | 1.67229i | 0.0791604 | + | 0.0561183i | ||||
\(889\) | 13.7292 | − | 20.0226i | 0.460464 | − | 0.671536i | ||||
\(890\) | −51.5169 | − | 22.3710i | −1.72685 | − | 0.749878i | ||||
\(891\) | 26.8365 | − | 30.5108i | 0.899057 | − | 1.02215i | ||||
\(892\) | −57.9504 | −1.94032 | ||||||||
\(893\) | 51.9040 | + | 18.8915i | 1.73690 | + | 0.632181i | ||||
\(894\) | −45.5402 | − | 32.2842i | −1.52309 | − | 1.07975i | ||||
\(895\) | −48.7131 | + | 24.3164i | −1.62830 | + | 0.812809i | ||||
\(896\) | 6.90802 | − | 15.2019i | 0.230781 | − | 0.507859i | ||||
\(897\) | −37.6074 | + | 26.0080i | −1.25567 | + | 0.868383i | ||||
\(898\) | 51.0611 | + | 60.8523i | 1.70393 | + | 2.03067i | ||||
\(899\) | −25.9993 | − | 45.0321i | −0.867125 | − | 1.50190i | ||||
\(900\) | −35.7268 | + | 1.48964i | −1.19089 | + | 0.0496546i | ||||
\(901\) | −5.54949 | − | 3.20400i | −0.184880 | − | 0.106741i | ||||
\(902\) | −62.6072 | + | 11.0393i | −2.08459 | + | 0.367570i | ||||
\(903\) | −0.0871552 | − | 21.8491i | −0.00290034 | − | 0.727092i | ||||
\(904\) | −8.66485 | + | 3.15375i | −0.288189 | + | 0.104892i | ||||
\(905\) | 0.376919 | − | 6.21115i | 0.0125292 | − | 0.206466i | ||||
\(906\) | 20.6310 | + | 20.8726i | 0.685420 | + | 0.693446i | ||||
\(907\) | 35.9614 | − | 6.34096i | 1.19408 | − | 0.210548i | 0.458941 | − | 0.888467i | \(-0.348229\pi\) |
0.735137 | + | 0.677919i | \(0.237118\pi\) | |||||||
\(908\) | −24.8338 | − | 14.3378i | −0.824137 | − | 0.475816i | ||||
\(909\) | −42.6153 | − | 25.2699i | −1.41346 | − | 0.838151i | ||||
\(910\) | 6.28291 | − | 45.2168i | 0.208276 | − | 1.49892i | ||||
\(911\) | −15.7057 | − | 18.7173i | −0.520353 | − | 0.620133i | 0.440311 | − | 0.897845i | \(-0.354868\pi\) |
−0.960664 | + | 0.277712i | \(0.910424\pi\) | |||||||
\(912\) | 30.2074 | − | 2.46571i | 1.00027 | − | 0.0816480i | ||||
\(913\) | 1.70377 | − | 9.66257i | 0.0563866 | − | 0.319785i | ||||
\(914\) | 25.3864 | − | 30.2543i | 0.839707 | − | 1.00072i | ||||
\(915\) | −0.925394 | + | 1.68285i | −0.0305926 | + | 0.0556334i | ||||
\(916\) | −1.03996 | + | 2.85728i | −0.0343614 | + | 0.0944071i | ||||
\(917\) | −23.7578 | − | 6.11675i | −0.784553 | − | 0.201993i | ||||
\(918\) | 9.74495 | + | 21.8881i | 0.321631 | + | 0.722414i | ||||
\(919\) | 7.21074 | 0.237860 | 0.118930 | − | 0.992903i | \(-0.462054\pi\) | ||||
0.118930 | + | 0.992903i | \(0.462054\pi\) | |||||||
\(920\) | −9.34192 | − | 8.85669i | −0.307994 | − | 0.291997i | ||||
\(921\) | −4.18785 | − | 9.11909i | −0.137994 | − | 0.300484i | ||||
\(922\) | 9.16182 | + | 7.68768i | 0.301728 | + | 0.253180i | ||||
\(923\) | 25.5948 | + | 4.51305i | 0.842462 | + | 0.148549i | ||||
\(924\) | −31.5521 | + | 37.9084i | −1.03799 | + | 1.24710i | ||||
\(925\) | 1.25590 | − | 10.3097i | 0.0412939 | − | 0.338982i | ||||
\(926\) | −52.0985 | + | 30.0791i | −1.71206 | + | 0.988459i | ||||
\(927\) | 20.1644 | − | 3.31397i | 0.662287 | − | 0.108845i | ||||
\(928\) | −57.5375 | − | 33.2193i | −1.88876 | − | 1.09048i | ||||
\(929\) | −8.22788 | − | 46.6626i | −0.269948 | − | 1.53095i | −0.754565 | − | 0.656225i | \(-0.772152\pi\) |
0.484617 | − | 0.874726i | \(-0.338959\pi\) | |||||||
\(930\) | −39.8953 | − | 32.0837i | −1.30822 | − | 1.05207i | ||||
\(931\) | 6.12626 | − | 39.2295i | 0.200780 | − | 1.28570i | ||||
\(932\) | 39.3190 | − | 14.3110i | 1.28794 | − | 0.468771i | ||||
\(933\) | −6.06546 | + | 22.1207i | −0.198574 | + | 0.724200i | ||||
\(934\) | 34.1189 | − | 6.01608i | 1.11640 | − | 0.196852i | ||||
\(935\) | −17.8657 | + | 13.2331i | −0.584272 | + | 0.432769i | ||||
\(936\) | 3.13619 | − | 8.31416i | 0.102510 | − | 0.271757i | ||||
\(937\) | −7.66648 | − | 13.2787i | −0.250453 | − | 0.433797i | 0.713198 | − | 0.700963i | \(-0.247246\pi\) |
−0.963651 | + | 0.267166i | \(0.913913\pi\) | |||||||
\(938\) | 14.2820 | + | 29.8595i | 0.466322 | + | 0.974946i | ||||
\(939\) | 42.5836 | + | 20.1597i | 1.38966 | + | 0.657886i | ||||
\(940\) | −43.2989 | − | 28.6292i | −1.41225 | − | 0.933782i | ||||
\(941\) | 2.32465 | + | 1.95061i | 0.0757814 | + | 0.0635881i | 0.679892 | − | 0.733313i | \(-0.262027\pi\) |
−0.604110 | + | 0.796901i | \(0.706471\pi\) | |||||||
\(942\) | 6.57808 | + | 14.3238i | 0.214325 | + | 0.466696i | ||||
\(943\) | 45.2672 | + | 16.4759i | 1.47410 | + | 0.536529i | ||||
\(944\) | 25.5835 | 0.832671 | ||||||||
\(945\) | 12.4599 | − | 28.1025i | 0.405320 | − | 0.914175i | ||||
\(946\) | 45.0713 | 1.46539 | ||||||||
\(947\) | −17.5905 | − | 6.40240i | −0.571613 | − | 0.208050i | 0.0400102 | − | 0.999199i | \(-0.487261\pi\) |
−0.611623 | + | 0.791149i | \(0.709483\pi\) | |||||||
\(948\) | −39.2232 | − | 3.66177i | −1.27391 | − | 0.118929i | ||||
\(949\) | −3.57357 | − | 2.99858i | −0.116003 | − | 0.0973381i | ||||
\(950\) | 32.3885 | + | 49.7700i | 1.05082 | + | 1.61475i | ||||
\(951\) | −3.53958 | − | 43.3633i | −0.114779 | − | 1.40615i | ||||
\(952\) | −2.02059 | − | 4.22447i | −0.0654877 | − | 0.136916i | ||||
\(953\) | −12.5736 | − | 21.7781i | −0.407298 | − | 0.705461i | 0.587288 | − | 0.809378i | \(-0.300196\pi\) |
−0.994586 | + | 0.103917i | \(0.966862\pi\) | |||||||
\(954\) | −0.212772 | + | 18.2758i | −0.00688874 | + | 0.591701i | ||||
\(955\) | −2.23981 | − | 3.02392i | −0.0724786 | − | 0.0978516i | ||||
\(956\) | −12.7107 | + | 2.24124i | −0.411094 | + | 0.0724869i | ||||
\(957\) | 45.2772 | + | 45.8074i | 1.46360 | + | 1.48074i | ||||
\(958\) | 21.5822 | − | 7.85530i | 0.697291 | − | 0.253793i | ||||
\(959\) | −51.3149 | + | 4.99717i | −1.65705 | + | 0.161367i | ||||
\(960\) | −41.0274 | − | 6.35593i | −1.32415 | − | 0.205137i | ||||
\(961\) | −1.53824 | − | 8.72380i | −0.0496207 | − | 0.281413i | ||||
\(962\) | 13.8811 | + | 8.01428i | 0.447546 | + | 0.258391i | ||||
\(963\) | −1.60179 | − | 4.56558i | −0.0516171 | − | 0.147124i | ||||
\(964\) | −59.7010 | + | 34.4684i | −1.92284 | + | 1.11015i | ||||
\(965\) | 7.03942 | + | 23.7232i | 0.226607 | + | 0.763675i | ||||
\(966\) | 64.4892 | − | 23.7639i | 2.07491 | − | 0.764591i | ||||
\(967\) | 16.6675 | + | 2.93893i | 0.535991 | + | 0.0945097i | 0.435090 | − | 0.900387i | \(-0.356716\pi\) |
0.100901 | + | 0.994897i | \(0.467828\pi\) | |||||||
\(968\) | −5.77746 | − | 4.84786i | −0.185695 | − | 0.155816i | ||||
\(969\) | 12.5127 | − | 17.6505i | 0.401967 | − | 0.567015i | ||||
\(970\) | −46.4885 | − | 44.0739i | −1.49266 | − | 1.41513i | ||||
\(971\) | −5.47368 | −0.175659 | −0.0878294 | − | 0.996136i | \(-0.527993\pi\) | ||||
−0.0878294 | + | 0.996136i | \(0.527993\pi\) | |||||||
\(972\) | 22.1912 | − | 29.8070i | 0.711784 | − | 0.956061i | ||||
\(973\) | −4.13373 | + | 16.0557i | −0.132521 | + | 0.514721i | ||||
\(974\) | 9.02771 | − | 24.8034i | 0.289266 | − | 0.794753i | ||||
\(975\) | −31.6276 | + | 4.28807i | −1.01289 | + | 0.137328i | ||||
\(976\) | −0.983299 | + | 1.17185i | −0.0314746 | + | 0.0375100i | ||||
\(977\) | 9.52464 | − | 54.0169i | 0.304720 | − | 1.72815i | −0.320099 | − | 0.947384i | \(-0.603716\pi\) |
0.624819 | − | 0.780770i | \(-0.285173\pi\) | |||||||
\(978\) | −15.8341 | − | 22.8960i | −0.506320 | − | 0.732133i | ||||
\(979\) | 34.8146 | + | 41.4904i | 1.11268 | + | 1.32604i | ||||
\(980\) | −14.1880 | + | 34.5105i | −0.453219 | + | 1.10240i | ||||
\(981\) | 10.9962 | + | 31.3423i | 0.351081 | + | 1.00068i | ||||
\(982\) | −60.8695 | − | 35.1430i | −1.94243 | − | 1.12146i | ||||
\(983\) | 39.3717 | − | 6.94230i | 1.25576 | − | 0.221425i | 0.494104 | − | 0.869403i | \(-0.335496\pi\) |
0.761659 | + | 0.647978i | \(0.224385\pi\) | |||||||
\(984\) | −9.05666 | + | 2.37031i | −0.288716 | + | 0.0755627i | ||||
\(985\) | 18.6436 | + | 1.13138i | 0.594035 | + | 0.0360486i | ||||
\(986\) | −35.6871 | + | 12.9890i | −1.13651 | + | 0.413655i | ||||
\(987\) | 38.5570 | − | 22.4665i | 1.22728 | − | 0.715115i | ||||
\(988\) | −49.0760 | + | 8.65342i | −1.56131 | + | 0.275302i | ||||
\(989\) | −29.5771 | − | 17.0763i | −0.940497 | − | 0.542996i | ||||
\(990\) | 57.8677 | + | 25.9336i | 1.83916 | + | 0.824225i | ||||
\(991\) | −12.1277 | − | 21.0058i | −0.385249 | − | 0.667271i | 0.606555 | − | 0.795042i | \(-0.292551\pi\) |
−0.991804 | + | 0.127771i | \(0.959218\pi\) | |||||||
\(992\) | −32.7352 | − | 39.0123i | −1.03934 | − | 1.23864i | ||||
\(993\) | 1.54178 | + | 18.8883i | 0.0489270 | + | 0.599404i | ||||
\(994\) | −35.5650 | − | 16.1614i | −1.12805 | − | 0.512609i | ||||
\(995\) | −16.6960 | + | 8.33425i | −0.529299 | + | 0.264214i | ||||
\(996\) | 0.834066 | − | 8.93414i | 0.0264284 | − | 0.283089i | ||||
\(997\) | 46.0475 | + | 16.7599i | 1.45834 | + | 0.530792i | 0.944908 | − | 0.327337i | \(-0.106151\pi\) |
0.513433 | + | 0.858130i | \(0.328374\pi\) | |||||||
\(998\) | 8.04480 | 0.254654 | ||||||||
\(999\) | 7.49765 | + | 7.76419i | 0.237215 | + | 0.245648i |
(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 | 945.2.cs.b.104.19 | ✓ | 816 | |
5.4 | even | 2 | inner | 945.2.cs.b.104.118 | yes | 816 | |
7.6 | odd | 2 | inner | 945.2.cs.b.104.20 | yes | 816 | |
27.20 | odd | 18 | inner | 945.2.cs.b.209.117 | yes | 816 | |
35.34 | odd | 2 | inner | 945.2.cs.b.104.117 | yes | 816 | |
135.74 | odd | 18 | inner | 945.2.cs.b.209.20 | yes | 816 | |
189.20 | even | 18 | inner | 945.2.cs.b.209.118 | yes | 816 | |
945.209 | even | 18 | inner | 945.2.cs.b.209.19 | yes | 816 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
945.2.cs.b.104.19 | ✓ | 816 | 1.1 | even | 1 | trivial | |
945.2.cs.b.104.20 | yes | 816 | 7.6 | odd | 2 | inner | |
945.2.cs.b.104.117 | yes | 816 | 35.34 | odd | 2 | inner | |
945.2.cs.b.104.118 | yes | 816 | 5.4 | even | 2 | inner | |
945.2.cs.b.209.19 | yes | 816 | 945.209 | even | 18 | inner | |
945.2.cs.b.209.20 | yes | 816 | 135.74 | odd | 18 | inner | |
945.2.cs.b.209.117 | yes | 816 | 27.20 | odd | 18 | inner | |
945.2.cs.b.209.118 | yes | 816 | 189.20 | even | 18 | inner |