Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(76,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.by (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 97.7 | ||
Character | \(\chi\) | \(=\) | 273.97 |
Dual form | 273.2.by.d.76.7 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.385482 | + | 1.43864i | 0.272577 | + | 1.01727i | 0.957448 | + | 0.288607i | \(0.0931921\pi\) |
−0.684870 | + | 0.728665i | \(0.740141\pi\) | |||||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | −0.189037 | + | 0.109141i | −0.0945186 | + | 0.0545703i | ||||
\(5\) | −1.07205 | − | 1.07205i | −0.479437 | − | 0.479437i | 0.425515 | − | 0.904952i | \(-0.360093\pi\) |
−0.904952 | + | 0.425515i | \(0.860093\pi\) | |||||||
\(6\) | 0.385482 | − | 1.43864i | 0.157373 | − | 0.587322i | ||||
\(7\) | 1.81743 | − | 1.92274i | 0.686925 | − | 0.726729i | ||||
\(8\) | 1.87643 | + | 1.87643i | 0.663418 | + | 0.663418i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 1.12904 | − | 1.95556i | 0.357034 | − | 0.618401i | ||||
\(11\) | 1.68564 | − | 0.451666i | 0.508240 | − | 0.136182i | 0.00441837 | − | 0.999990i | \(-0.498594\pi\) |
0.503822 | + | 0.863808i | \(0.331927\pi\) | |||||||
\(12\) | 0.218281 | 0.0630124 | ||||||||
\(13\) | 3.51131 | − | 0.818944i | 0.973863 | − | 0.227134i | ||||
\(14\) | 3.46672 | + | 1.87345i | 0.926521 | + | 0.500700i | ||||
\(15\) | 0.392399 | + | 1.46445i | 0.101317 | + | 0.378120i | ||||
\(16\) | −2.19446 | + | 3.80091i | −0.548614 | + | 0.950228i | ||||
\(17\) | 1.43508 | + | 2.48563i | 0.348058 | + | 0.602854i | 0.985904 | − | 0.167310i | \(-0.0535079\pi\) |
−0.637847 | + | 0.770164i | \(0.720175\pi\) | |||||||
\(18\) | −1.05316 | + | 1.05316i | −0.248232 | + | 0.248232i | ||||
\(19\) | 0.389597 | − | 1.45400i | 0.0893798 | − | 0.333570i | −0.906728 | − | 0.421717i | \(-0.861428\pi\) |
0.996108 | + | 0.0881466i | \(0.0280944\pi\) | |||||||
\(20\) | 0.319663 | + | 0.0856533i | 0.0714787 | + | 0.0191527i | ||||
\(21\) | −2.53531 | + | 0.756429i | −0.553251 | + | 0.165066i | ||||
\(22\) | 1.29957 | + | 2.25092i | 0.277069 | + | 0.479898i | ||||
\(23\) | −3.21155 | − | 1.85419i | −0.669654 | − | 0.386625i | 0.126292 | − | 0.991993i | \(-0.459693\pi\) |
−0.795946 | + | 0.605368i | \(0.793026\pi\) | |||||||
\(24\) | −0.686821 | − | 2.56325i | −0.140197 | − | 0.523222i | ||||
\(25\) | − | 2.70140i | − | 0.540281i | ||||||
\(26\) | 2.53172 | + | 4.73583i | 0.496510 | + | 0.928772i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −0.133713 | + | 0.561826i | −0.0252693 | + | 0.106175i | ||||
\(29\) | −1.65473 | + | 2.86608i | −0.307276 | + | 0.532217i | −0.977765 | − | 0.209702i | \(-0.932751\pi\) |
0.670490 | + | 0.741919i | \(0.266084\pi\) | |||||||
\(30\) | −1.95556 | + | 1.12904i | −0.357034 | + | 0.206134i | ||||
\(31\) | 1.32380 | + | 1.32380i | 0.237761 | + | 0.237761i | 0.815922 | − | 0.578161i | \(-0.196230\pi\) |
−0.578161 | + | 0.815922i | \(0.696230\pi\) | |||||||
\(32\) | −1.18757 | − | 0.318208i | −0.209934 | − | 0.0562517i | ||||
\(33\) | −1.68564 | − | 0.451666i | −0.293432 | − | 0.0786250i | ||||
\(34\) | −3.02273 | + | 3.02273i | −0.518394 | + | 0.518394i | ||||
\(35\) | −4.00967 | + | 0.112899i | −0.677757 | + | 0.0190835i | ||||
\(36\) | −0.189037 | − | 0.109141i | −0.0315062 | − | 0.0181901i | ||||
\(37\) | −5.83082 | + | 1.56236i | −0.958580 | + | 0.256851i | −0.703999 | − | 0.710201i | \(-0.748604\pi\) |
−0.254581 | + | 0.967051i | \(0.581938\pi\) | |||||||
\(38\) | 2.24196 | 0.363694 | ||||||||
\(39\) | −3.45036 | − | 1.04643i | −0.552500 | − | 0.167563i | ||||
\(40\) | − | 4.02327i | − | 0.636134i | ||||||
\(41\) | −3.10007 | + | 0.830662i | −0.484150 | + | 0.129728i | −0.492634 | − | 0.870236i | \(-0.663966\pi\) |
0.00848433 | + | 0.999964i | \(0.497299\pi\) | |||||||
\(42\) | −2.06555 | − | 3.35581i | −0.318721 | − | 0.517813i | ||||
\(43\) | 3.29020 | − | 1.89960i | 0.501751 | − | 0.289686i | −0.227685 | − | 0.973735i | \(-0.573116\pi\) |
0.729436 | + | 0.684049i | \(0.239782\pi\) | |||||||
\(44\) | −0.269354 | + | 0.269354i | −0.0406066 | + | 0.0406066i | ||||
\(45\) | 0.392399 | − | 1.46445i | 0.0584954 | − | 0.218308i | ||||
\(46\) | 1.42951 | − | 5.33502i | 0.210770 | − | 0.786605i | ||||
\(47\) | −5.86346 | + | 5.86346i | −0.855273 | + | 0.855273i | −0.990777 | − | 0.135504i | \(-0.956735\pi\) |
0.135504 | + | 0.990777i | \(0.456735\pi\) | |||||||
\(48\) | 3.80091 | − | 2.19446i | 0.548614 | − | 0.316743i | ||||
\(49\) | −0.393883 | − | 6.98891i | −0.0562690 | − | 0.998416i | ||||
\(50\) | 3.88635 | − | 1.04134i | 0.549612 | − | 0.147268i | ||||
\(51\) | − | 2.87016i | − | 0.401903i | ||||||
\(52\) | −0.574389 | + | 0.538038i | −0.0796534 | + | 0.0746125i | ||||
\(53\) | −1.37219 | −0.188484 | −0.0942422 | − | 0.995549i | \(-0.530043\pi\) | ||||
−0.0942422 | + | 0.995549i | \(0.530043\pi\) | |||||||
\(54\) | 1.43864 | − | 0.385482i | 0.195774 | − | 0.0524575i | ||||
\(55\) | −2.29131 | − | 1.32289i | −0.308960 | − | 0.178378i | ||||
\(56\) | 7.01818 | − | 0.197610i | 0.937843 | − | 0.0264067i | ||||
\(57\) | −1.06440 | + | 1.06440i | −0.140983 | + | 0.140983i | ||||
\(58\) | −4.76112 | − | 1.27574i | −0.625166 | − | 0.167513i | ||||
\(59\) | 0.967827 | + | 0.259328i | 0.126000 | + | 0.0337617i | 0.321268 | − | 0.946988i | \(-0.395891\pi\) |
−0.195268 | + | 0.980750i | \(0.562558\pi\) | |||||||
\(60\) | −0.234009 | − | 0.234009i | −0.0302105 | − | 0.0302105i | ||||
\(61\) | −0.0305081 | + | 0.0176138i | −0.00390616 | + | 0.00225522i | −0.501952 | − | 0.864896i | \(-0.667385\pi\) |
0.498046 | + | 0.867151i | \(0.334051\pi\) | |||||||
\(62\) | −1.39417 | + | 2.41477i | −0.177059 | + | 0.306676i | ||||
\(63\) | 2.57386 | + | 0.612570i | 0.324276 | + | 0.0771766i | ||||
\(64\) | 6.94669i | 0.868336i | ||||||||
\(65\) | −4.64227 | − | 2.88636i | −0.575803 | − | 0.358009i | ||||
\(66\) | − | 2.59914i | − | 0.319932i | ||||||
\(67\) | −1.26183 | − | 4.70921i | −0.154157 | − | 0.575322i | −0.999176 | − | 0.0405858i | \(-0.987078\pi\) |
0.845019 | − | 0.534736i | \(-0.179589\pi\) | |||||||
\(68\) | −0.542567 | − | 0.313251i | −0.0657959 | − | 0.0379873i | ||||
\(69\) | 1.85419 | + | 3.21155i | 0.223218 | + | 0.386625i | ||||
\(70\) | −1.70808 | − | 5.72495i | −0.204154 | − | 0.684262i | ||||
\(71\) | 11.4087 | + | 3.05695i | 1.35396 | + | 0.362793i | 0.861595 | − | 0.507596i | \(-0.169466\pi\) |
0.492366 | + | 0.870388i | \(0.336132\pi\) | |||||||
\(72\) | −0.686821 | + | 2.56325i | −0.0809427 | + | 0.302082i | ||||
\(73\) | −11.3351 | + | 11.3351i | −1.32667 | + | 1.32667i | −0.418410 | + | 0.908258i | \(0.637413\pi\) |
−0.908258 | + | 0.418410i | \(0.862587\pi\) | |||||||
\(74\) | −4.49535 | − | 7.78618i | −0.522574 | − | 0.905125i | ||||
\(75\) | −1.35070 | + | 2.33948i | −0.155966 | + | 0.270140i | ||||
\(76\) | 0.0850419 | + | 0.317381i | 0.00975497 | + | 0.0364061i | ||||
\(77\) | 2.19510 | − | 4.06193i | 0.250155 | − | 0.462900i | ||||
\(78\) | 0.175384 | − | 5.36721i | 0.0198583 | − | 0.607716i | ||||
\(79\) | −3.53025 | −0.397184 | −0.198592 | − | 0.980082i | \(-0.563637\pi\) | ||||
−0.198592 | + | 0.980082i | \(0.563637\pi\) | |||||||
\(80\) | 6.42736 | − | 1.72221i | 0.718600 | − | 0.192548i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −2.39005 | − | 4.13968i | −0.263937 | − | 0.457151i | ||||
\(83\) | −10.8414 | − | 10.8414i | −1.19000 | − | 1.19000i | −0.977066 | − | 0.212936i | \(-0.931698\pi\) |
−0.212936 | − | 0.977066i | \(-0.568302\pi\) | |||||||
\(84\) | 0.396712 | − | 0.419699i | 0.0432848 | − | 0.0457929i | ||||
\(85\) | 1.12625 | − | 4.20321i | 0.122159 | − | 0.455902i | ||||
\(86\) | 4.00116 | + | 4.00116i | 0.431456 | + | 0.431456i | ||||
\(87\) | 2.86608 | − | 1.65473i | 0.307276 | − | 0.177406i | ||||
\(88\) | 4.01051 | + | 2.31547i | 0.427522 | + | 0.246830i | ||||
\(89\) | 2.02252 | + | 7.54814i | 0.214386 | + | 0.800101i | 0.986382 | + | 0.164473i | \(0.0525922\pi\) |
−0.771995 | + | 0.635628i | \(0.780741\pi\) | |||||||
\(90\) | 2.25808 | 0.238023 | ||||||||
\(91\) | 4.80695 | − | 8.23973i | 0.503906 | − | 0.863759i | ||||
\(92\) | 0.809469 | 0.0843930 | ||||||||
\(93\) | −0.484543 | − | 1.80834i | −0.0502448 | − | 0.187516i | ||||
\(94\) | −10.6957 | − | 6.17514i | −1.10317 | − | 0.636918i | ||||
\(95\) | −1.97643 | + | 1.14109i | −0.202778 | + | 0.117074i | ||||
\(96\) | 0.869359 | + | 0.869359i | 0.0887286 | + | 0.0887286i | ||||
\(97\) | −2.46851 | + | 9.21262i | −0.250640 | + | 0.935400i | 0.719825 | + | 0.694156i | \(0.244222\pi\) |
−0.970465 | + | 0.241244i | \(0.922445\pi\) | |||||||
\(98\) | 9.90269 | − | 3.26076i | 1.00032 | − | 0.329386i | ||||
\(99\) | 1.23397 | + | 1.23397i | 0.124019 | + | 0.124019i | ||||
\(100\) | 0.294833 | + | 0.510666i | 0.0294833 | + | 0.0510666i | ||||
\(101\) | 6.74473 | − | 11.6822i | 0.671125 | − | 1.16242i | −0.306460 | − | 0.951883i | \(-0.599145\pi\) |
0.977585 | − | 0.210540i | \(-0.0675221\pi\) | |||||||
\(102\) | 4.12913 | − | 1.10640i | 0.408844 | − | 0.109550i | ||||
\(103\) | 8.93370 | 0.880264 | 0.440132 | − | 0.897933i | \(-0.354932\pi\) | ||||
0.440132 | + | 0.897933i | \(0.354932\pi\) | |||||||
\(104\) | 8.12543 | + | 5.05205i | 0.796764 | + | 0.495394i | ||||
\(105\) | 3.52892 | + | 1.90706i | 0.344388 | + | 0.186110i | ||||
\(106\) | −0.528954 | − | 1.97408i | −0.0513766 | − | 0.191740i | ||||
\(107\) | −6.52366 | + | 11.2993i | −0.630666 | + | 1.09235i | 0.356750 | + | 0.934200i | \(0.383885\pi\) |
−0.987416 | + | 0.158146i | \(0.949448\pi\) | |||||||
\(108\) | 0.109141 | + | 0.189037i | 0.0105021 | + | 0.0181901i | ||||
\(109\) | −14.0320 | + | 14.0320i | −1.34402 | + | 1.34402i | −0.452007 | + | 0.892015i | \(0.649292\pi\) |
−0.892015 | + | 0.452007i | \(0.850708\pi\) | |||||||
\(110\) | 1.01990 | − | 3.80632i | 0.0972436 | − | 0.362918i | ||||
\(111\) | 5.83082 | + | 1.56236i | 0.553436 | + | 0.148293i | ||||
\(112\) | 3.31990 | + | 11.1273i | 0.313701 | + | 1.05143i | ||||
\(113\) | −5.60312 | − | 9.70489i | −0.527097 | − | 0.912959i | −0.999501 | − | 0.0315769i | \(-0.989947\pi\) |
0.472404 | − | 0.881382i | \(-0.343386\pi\) | |||||||
\(114\) | −1.94160 | − | 1.12098i | −0.181847 | − | 0.104989i | ||||
\(115\) | 1.45516 | + | 5.43074i | 0.135695 | + | 0.506419i | ||||
\(116\) | − | 0.722393i | − | 0.0670725i | ||||||
\(117\) | 2.46488 | + | 2.63142i | 0.227879 | + | 0.243274i | ||||
\(118\) | 1.49232i | 0.137379i | ||||||||
\(119\) | 7.38739 | + | 1.75817i | 0.677201 | + | 0.161172i | ||||
\(120\) | −2.01163 | + | 3.48425i | −0.183636 | + | 0.318067i | ||||
\(121\) | −6.88890 | + | 3.97731i | −0.626263 | + | 0.361573i | ||||
\(122\) | −0.0371003 | − | 0.0371003i | −0.00335890 | − | 0.00335890i | ||||
\(123\) | 3.10007 | + | 0.830662i | 0.279524 | + | 0.0748983i | ||||
\(124\) | −0.394727 | − | 0.105767i | −0.0354475 | − | 0.00949814i | ||||
\(125\) | −8.25632 | + | 8.25632i | −0.738467 | + | 0.738467i | ||||
\(126\) | 0.110910 | + | 3.93899i | 0.00988061 | + | 0.350913i | ||||
\(127\) | 3.67035 | + | 2.11908i | 0.325691 | + | 0.188038i | 0.653926 | − | 0.756558i | \(-0.273121\pi\) |
−0.328235 | + | 0.944596i | \(0.606454\pi\) | |||||||
\(128\) | −12.3689 | + | 3.31424i | −1.09327 | + | 0.292940i | ||||
\(129\) | −3.79920 | −0.334501 | ||||||||
\(130\) | 2.36293 | − | 7.79120i | 0.207242 | − | 0.683333i | ||||
\(131\) | − | 7.27464i | − | 0.635589i | −0.948160 | − | 0.317794i | \(-0.897058\pi\) | ||
0.948160 | − | 0.317794i | \(-0.102942\pi\) | |||||||
\(132\) | 0.367944 | − | 0.0985903i | 0.0320254 | − | 0.00858119i | ||||
\(133\) | −2.08760 | − | 3.39164i | −0.181018 | − | 0.294092i | ||||
\(134\) | 6.28845 | − | 3.63064i | 0.543239 | − | 0.313639i | ||||
\(135\) | −1.07205 | + | 1.07205i | −0.0922677 | + | 0.0922677i | ||||
\(136\) | −1.97129 | + | 7.35694i | −0.169036 | + | 0.630852i | ||||
\(137\) | −5.38885 | + | 20.1115i | −0.460400 | + | 1.71824i | 0.211306 | + | 0.977420i | \(0.432228\pi\) |
−0.671706 | + | 0.740818i | \(0.734438\pi\) | |||||||
\(138\) | −3.90550 | + | 3.90550i | −0.332459 | + | 0.332459i | ||||
\(139\) | 16.2490 | − | 9.38137i | 1.37822 | − | 0.795718i | 0.386278 | − | 0.922382i | \(-0.373761\pi\) |
0.991946 | + | 0.126665i | \(0.0404272\pi\) | |||||||
\(140\) | 0.745654 | − | 0.458960i | 0.0630193 | − | 0.0387892i | ||||
\(141\) | 8.00963 | − | 2.14617i | 0.674533 | − | 0.180741i | ||||
\(142\) | 17.5914i | 1.47624i | ||||||||
\(143\) | 5.54893 | − | 2.96639i | 0.464025 | − | 0.248062i | ||||
\(144\) | −4.38892 | −0.365743 | ||||||||
\(145\) | 4.84654 | − | 1.29863i | 0.402484 | − | 0.107845i | ||||
\(146\) | −20.6765 | − | 11.9376i | −1.71120 | − | 0.987963i | ||||
\(147\) | −3.15334 | + | 6.24951i | −0.260083 | + | 0.515451i | ||||
\(148\) | 0.931724 | − | 0.931724i | 0.0765872 | − | 0.0765872i | ||||
\(149\) | −1.73434 | − | 0.464716i | −0.142083 | − | 0.0380710i | 0.187077 | − | 0.982345i | \(-0.440099\pi\) |
−0.329160 | + | 0.944274i | \(0.606765\pi\) | |||||||
\(150\) | −3.88635 | − | 1.04134i | −0.317319 | − | 0.0850253i | ||||
\(151\) | 14.9709 | + | 14.9709i | 1.21832 | + | 1.21832i | 0.968221 | + | 0.250095i | \(0.0804619\pi\) |
0.250095 | + | 0.968221i | \(0.419538\pi\) | |||||||
\(152\) | 3.45938 | − | 1.99727i | 0.280593 | − | 0.162000i | ||||
\(153\) | −1.43508 | + | 2.48563i | −0.116019 | + | 0.200951i | ||||
\(154\) | 6.68982 | + | 1.59216i | 0.539081 | + | 0.128300i | ||||
\(155\) | − | 2.83836i | − | 0.227983i | ||||||
\(156\) | 0.766455 | − | 0.178760i | 0.0613655 | − | 0.0143123i | ||||
\(157\) | 19.5001i | 1.55628i | 0.628093 | + | 0.778138i | \(0.283836\pi\) | ||||
−0.628093 | + | 0.778138i | \(0.716164\pi\) | |||||||
\(158\) | −1.36085 | − | 5.07876i | −0.108263 | − | 0.404044i | ||||
\(159\) | 1.18835 | + | 0.686094i | 0.0942422 | + | 0.0544108i | ||||
\(160\) | 0.931999 | + | 1.61427i | 0.0736810 | + | 0.127619i | ||||
\(161\) | −9.40190 | + | 2.80512i | −0.740973 | + | 0.221075i | ||||
\(162\) | −1.43864 | − | 0.385482i | −0.113030 | − | 0.0302864i | ||||
\(163\) | 3.90415 | − | 14.5705i | 0.305797 | − | 1.14125i | −0.626460 | − | 0.779453i | \(-0.715497\pi\) |
0.932257 | − | 0.361796i | \(-0.117836\pi\) | |||||||
\(164\) | 0.495370 | − | 0.495370i | 0.0386819 | − | 0.0386819i | ||||
\(165\) | 1.32289 | + | 2.29131i | 0.102987 | + | 0.178378i | ||||
\(166\) | 11.4177 | − | 19.7761i | 0.886188 | − | 1.53492i | ||||
\(167\) | −2.08221 | − | 7.77093i | −0.161127 | − | 0.601333i | −0.998503 | − | 0.0547052i | \(-0.982578\pi\) |
0.837376 | − | 0.546627i | \(-0.184089\pi\) | |||||||
\(168\) | −6.17673 | − | 3.33795i | −0.476545 | − | 0.257529i | ||||
\(169\) | 11.6587 | − | 5.75114i | 0.896820 | − | 0.442396i | ||||
\(170\) | 6.48105 | 0.497074 | ||||||||
\(171\) | 1.45400 | − | 0.389597i | 0.111190 | − | 0.0297933i | ||||
\(172\) | −0.414647 | + | 0.718190i | −0.0316166 | + | 0.0547615i | ||||
\(173\) | −10.9025 | − | 18.8837i | −0.828903 | − | 1.43570i | −0.898899 | − | 0.438155i | \(-0.855632\pi\) |
0.0699960 | − | 0.997547i | \(-0.477701\pi\) | |||||||
\(174\) | 3.48538 | + | 3.48538i | 0.264226 | + | 0.264226i | ||||
\(175\) | −5.19410 | − | 4.90962i | −0.392637 | − | 0.371132i | ||||
\(176\) | −1.98232 | + | 7.39814i | −0.149423 | + | 0.557656i | ||||
\(177\) | −0.708498 | − | 0.708498i | −0.0532540 | − | 0.0532540i | ||||
\(178\) | −10.0794 | + | 5.81935i | −0.755484 | + | 0.436179i | ||||
\(179\) | 8.41680 | + | 4.85944i | 0.629101 | + | 0.363212i | 0.780404 | − | 0.625276i | \(-0.215014\pi\) |
−0.151303 | + | 0.988487i | \(0.548347\pi\) | |||||||
\(180\) | 0.0856533 | + | 0.319663i | 0.00638422 | + | 0.0238262i | ||||
\(181\) | 13.6038 | 1.01116 | 0.505580 | − | 0.862779i | \(-0.331278\pi\) | ||||
0.505580 | + | 0.862779i | \(0.331278\pi\) | |||||||
\(182\) | 13.7070 | + | 3.73921i | 1.01603 | + | 0.277168i | ||||
\(183\) | 0.0352277 | 0.00260411 | ||||||||
\(184\) | −2.54699 | − | 9.50550i | −0.187767 | − | 0.700755i | ||||
\(185\) | 7.92588 | + | 4.57601i | 0.582722 | + | 0.336435i | ||||
\(186\) | 2.41477 | − | 1.39417i | 0.177059 | − | 0.102225i | ||||
\(187\) | 3.54170 | + | 3.54170i | 0.258995 | + | 0.258995i | ||||
\(188\) | 0.468470 | − | 1.74835i | 0.0341667 | − | 0.127512i | ||||
\(189\) | −1.92274 | − | 1.81743i | −0.139859 | − | 0.132199i | ||||
\(190\) | −2.40350 | − | 2.40350i | −0.174368 | − | 0.174368i | ||||
\(191\) | 0.423116 | + | 0.732859i | 0.0306156 | + | 0.0530278i | 0.880927 | − | 0.473252i | \(-0.156920\pi\) |
−0.850312 | + | 0.526280i | \(0.823587\pi\) | |||||||
\(192\) | 3.47334 | − | 6.01601i | 0.250667 | − | 0.434168i | ||||
\(193\) | −1.53179 | + | 0.410441i | −0.110260 | + | 0.0295442i | −0.313527 | − | 0.949579i | \(-0.601511\pi\) |
0.203267 | + | 0.979123i | \(0.434844\pi\) | |||||||
\(194\) | −14.2052 | −1.01987 | ||||||||
\(195\) | 2.57714 | + | 4.82080i | 0.184553 | + | 0.345225i | ||||
\(196\) | 0.837233 | + | 1.27818i | 0.0598024 | + | 0.0912982i | ||||
\(197\) | −1.35016 | − | 5.03888i | −0.0961951 | − | 0.359005i | 0.901003 | − | 0.433813i | \(-0.142832\pi\) |
−0.997198 | + | 0.0748081i | \(0.976166\pi\) | |||||||
\(198\) | −1.29957 | + | 2.25092i | −0.0923564 | + | 0.159966i | ||||
\(199\) | −0.678170 | − | 1.17462i | −0.0480742 | − | 0.0832670i | 0.840987 | − | 0.541055i | \(-0.181975\pi\) |
−0.889061 | + | 0.457788i | \(0.848642\pi\) | |||||||
\(200\) | 5.06899 | − | 5.06899i | 0.358432 | − | 0.358432i | ||||
\(201\) | −1.26183 | + | 4.70921i | −0.0890026 | + | 0.332162i | ||||
\(202\) | 19.4065 | + | 5.19995i | 1.36543 | + | 0.365867i | ||||
\(203\) | 2.50337 | + | 8.39052i | 0.175702 | + | 0.588899i | ||||
\(204\) | 0.313251 | + | 0.542567i | 0.0219320 | + | 0.0379873i | ||||
\(205\) | 4.21396 | + | 2.43293i | 0.294316 | + | 0.169923i | ||||
\(206\) | 3.44379 | + | 12.8524i | 0.239940 | + | 0.895468i | ||||
\(207\) | − | 3.70838i | − | 0.257750i | ||||||
\(208\) | −4.59270 | + | 15.1433i | −0.318446 | + | 1.05000i | ||||
\(209\) | − | 2.62689i | − | 0.181706i | ||||||
\(210\) | −1.38323 | + | 5.81199i | −0.0954522 | + | 0.401065i | ||||
\(211\) | 12.4140 | − | 21.5017i | 0.854616 | − | 1.48024i | −0.0223853 | − | 0.999749i | \(-0.507126\pi\) |
0.877001 | − | 0.480488i | \(-0.159541\pi\) | |||||||
\(212\) | 0.259394 | − | 0.149761i | 0.0178153 | − | 0.0102857i | ||||
\(213\) | −8.35173 | − | 8.35173i | −0.572251 | − | 0.572251i | ||||
\(214\) | −18.7704 | − | 5.02951i | −1.28312 | − | 0.343810i | ||||
\(215\) | −5.56375 | − | 1.49080i | −0.379444 | − | 0.101672i | ||||
\(216\) | 1.87643 | − | 1.87643i | 0.127675 | − | 0.127675i | ||||
\(217\) | 4.95123 | − | 0.139411i | 0.336112 | − | 0.00946384i | ||||
\(218\) | −25.5961 | − | 14.7779i | −1.73358 | − | 1.00089i | ||||
\(219\) | 15.4840 | − | 4.14892i | 1.04631 | − | 0.280358i | ||||
\(220\) | 0.577523 | 0.0389366 | ||||||||
\(221\) | 7.07461 | + | 7.55258i | 0.475890 | + | 0.508042i | ||||
\(222\) | 8.99071i | 0.603417i | ||||||||
\(223\) | −13.6453 | + | 3.65626i | −0.913760 | + | 0.244841i | −0.684916 | − | 0.728622i | \(-0.740161\pi\) |
−0.228844 | + | 0.973463i | \(0.573494\pi\) | |||||||
\(224\) | −2.77015 | + | 1.70507i | −0.185089 | + | 0.113924i | ||||
\(225\) | 2.33948 | − | 1.35070i | 0.155966 | − | 0.0900468i | ||||
\(226\) | 11.8019 | − | 11.8019i | 0.785053 | − | 0.785053i | ||||
\(227\) | 5.76681 | − | 21.5220i | 0.382757 | − | 1.42847i | −0.458916 | − | 0.888480i | \(-0.651762\pi\) |
0.841673 | − | 0.539988i | \(-0.181571\pi\) | |||||||
\(228\) | 0.0850419 | − | 0.317381i | 0.00563204 | − | 0.0210190i | ||||
\(229\) | 8.69387 | − | 8.69387i | 0.574507 | − | 0.574507i | −0.358877 | − | 0.933385i | \(-0.616840\pi\) |
0.933385 | + | 0.358877i | \(0.116840\pi\) | |||||||
\(230\) | −7.25194 | + | 4.18691i | −0.478179 | + | 0.276077i | ||||
\(231\) | −3.93198 | + | 2.42018i | −0.258705 | + | 0.159236i | ||||
\(232\) | −8.48298 | + | 2.27301i | −0.556935 | + | 0.149230i | ||||
\(233\) | − | 26.8466i | − | 1.75878i | −0.476104 | − | 0.879389i | \(-0.657952\pi\) | ||
0.476104 | − | 0.879389i | \(-0.342048\pi\) | |||||||
\(234\) | −2.83549 | + | 4.56044i | −0.185362 | + | 0.298126i | ||||
\(235\) | 12.5719 | 0.820099 | ||||||||
\(236\) | −0.211259 | + | 0.0566065i | −0.0137518 | + | 0.00368477i | ||||
\(237\) | 3.05729 | + | 1.76513i | 0.198592 | + | 0.114657i | ||||
\(238\) | 0.318328 | + | 11.3055i | 0.0206341 | + | 0.732829i | ||||
\(239\) | 6.42765 | − | 6.42765i | 0.415770 | − | 0.415770i | −0.467973 | − | 0.883743i | \(-0.655016\pi\) |
0.883743 | + | 0.467973i | \(0.155016\pi\) | |||||||
\(240\) | −6.42736 | − | 1.72221i | −0.414884 | − | 0.111168i | ||||
\(241\) | −21.5089 | − | 5.76329i | −1.38551 | − | 0.371246i | −0.512391 | − | 0.858752i | \(-0.671240\pi\) |
−0.873120 | + | 0.487506i | \(0.837907\pi\) | |||||||
\(242\) | −8.37746 | − | 8.37746i | −0.538523 | − | 0.538523i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 0.00384478 | − | 0.00665935i | 0.000246137 | − | 0.000426321i | ||||
\(245\) | −7.07022 | + | 7.91475i | −0.451700 | + | 0.505655i | ||||
\(246\) | 4.78009i | 0.304768i | ||||||||
\(247\) | 0.177256 | − | 5.42450i | 0.0112785 | − | 0.345153i | ||||
\(248\) | 4.96803i | 0.315470i | ||||||||
\(249\) | 3.96824 | + | 14.8097i | 0.251477 | + | 0.938525i | ||||
\(250\) | −15.0605 | − | 8.69520i | −0.952511 | − | 0.549933i | ||||
\(251\) | −15.2735 | − | 26.4545i | −0.964055 | − | 1.66979i | −0.712134 | − | 0.702044i | \(-0.752271\pi\) |
−0.251921 | − | 0.967748i | \(-0.581062\pi\) | |||||||
\(252\) | −0.553412 | + | 0.165114i | −0.0348617 | + | 0.0104012i | ||||
\(253\) | −6.25099 | − | 1.67495i | −0.392996 | − | 0.105303i | ||||
\(254\) | −1.63374 | + | 6.09718i | −0.102510 | + | 0.382571i | ||||
\(255\) | −3.07696 | + | 3.07696i | −0.192687 | + | 0.192687i | ||||
\(256\) | −2.58931 | − | 4.48482i | −0.161832 | − | 0.280301i | ||||
\(257\) | −6.53903 | + | 11.3259i | −0.407894 | + | 0.706493i | −0.994654 | − | 0.103268i | \(-0.967070\pi\) |
0.586760 | + | 0.809761i | \(0.300403\pi\) | |||||||
\(258\) | −1.46452 | − | 5.46568i | −0.0911773 | − | 0.340278i | ||||
\(259\) | −7.59309 | + | 14.0506i | −0.471812 | + | 0.873065i | ||||
\(260\) | 1.19258 | + | 0.0389699i | 0.0739608 | + | 0.00241681i | ||||
\(261\) | −3.30946 | −0.204850 | ||||||||
\(262\) | 10.4656 | − | 2.80425i | 0.646566 | − | 0.173247i | ||||
\(263\) | −4.59748 | + | 7.96308i | −0.283493 | + | 0.491024i | −0.972243 | − | 0.233975i | \(-0.924827\pi\) |
0.688750 | + | 0.724999i | \(0.258160\pi\) | |||||||
\(264\) | −2.31547 | − | 4.01051i | −0.142507 | − | 0.246830i | ||||
\(265\) | 1.47106 | + | 1.47106i | 0.0903664 | + | 0.0903664i | ||||
\(266\) | 4.07461 | − | 4.31072i | 0.249831 | − | 0.264307i | ||||
\(267\) | 2.02252 | − | 7.54814i | 0.123776 | − | 0.461939i | ||||
\(268\) | 0.752500 | + | 0.752500i | 0.0459662 | + | 0.0459662i | ||||
\(269\) | 10.0654 | − | 5.81128i | 0.613700 | − | 0.354320i | −0.160712 | − | 0.987001i | \(-0.551379\pi\) |
0.774412 | + | 0.632681i | \(0.218046\pi\) | |||||||
\(270\) | −1.95556 | − | 1.12904i | −0.119011 | − | 0.0687112i | ||||
\(271\) | 5.43020 | + | 20.2658i | 0.329861 | + | 1.23106i | 0.909334 | + | 0.416067i | \(0.136592\pi\) |
−0.579473 | + | 0.814991i | \(0.696742\pi\) | |||||||
\(272\) | −12.5969 | −0.763798 | ||||||||
\(273\) | −8.28281 | + | 4.73234i | −0.501299 | + | 0.286414i | ||||
\(274\) | −31.0104 | −1.87341 | ||||||||
\(275\) | −1.22013 | − | 4.55360i | −0.0735768 | − | 0.274592i | ||||
\(276\) | −0.701021 | − | 0.404735i | −0.0421965 | − | 0.0243622i | ||||
\(277\) | −13.6743 | + | 7.89485i | −0.821608 | + | 0.474356i | −0.850971 | − | 0.525213i | \(-0.823986\pi\) |
0.0293625 | + | 0.999569i | \(0.490652\pi\) | |||||||
\(278\) | 19.7601 | + | 19.7601i | 1.18513 | + | 1.18513i | ||||
\(279\) | −0.484543 | + | 1.80834i | −0.0290089 | + | 0.108263i | ||||
\(280\) | −7.73571 | − | 7.31201i | −0.462297 | − | 0.436976i | ||||
\(281\) | −6.16446 | − | 6.16446i | −0.367741 | − | 0.367741i | 0.498912 | − | 0.866653i | \(-0.333733\pi\) |
−0.866653 | + | 0.498912i | \(0.833733\pi\) | |||||||
\(282\) | 6.17514 | + | 10.6957i | 0.367725 | + | 0.636918i | ||||
\(283\) | −2.66486 | + | 4.61567i | −0.158410 | + | 0.274373i | −0.934295 | − | 0.356500i | \(-0.883970\pi\) |
0.775886 | + | 0.630873i | \(0.217303\pi\) | |||||||
\(284\) | −2.49030 | + | 0.667274i | −0.147772 | + | 0.0395954i | ||||
\(285\) | 2.28219 | 0.135185 | ||||||||
\(286\) | 6.40658 | + | 6.83942i | 0.378829 | + | 0.404423i | ||||
\(287\) | −4.03702 | + | 7.47032i | −0.238298 | + | 0.440959i | ||||
\(288\) | −0.318208 | − | 1.18757i | −0.0187506 | − | 0.0699780i | ||||
\(289\) | 4.38109 | − | 7.58828i | 0.257711 | − | 0.446369i | ||||
\(290\) | 3.73652 | + | 6.47183i | 0.219416 | + | 0.380039i | ||||
\(291\) | 6.74410 | − | 6.74410i | 0.395346 | − | 0.395346i | ||||
\(292\) | 0.905632 | − | 3.37986i | 0.0529981 | − | 0.197792i | ||||
\(293\) | 20.8745 | + | 5.59331i | 1.21950 | + | 0.326764i | 0.810483 | − | 0.585762i | \(-0.199205\pi\) |
0.409018 | + | 0.912526i | \(0.365871\pi\) | |||||||
\(294\) | −10.2064 | − | 2.12745i | −0.595247 | − | 0.124075i | ||||
\(295\) | −0.759548 | − | 1.31558i | −0.0442226 | − | 0.0765958i | ||||
\(296\) | −13.8728 | − | 8.00945i | −0.806339 | − | 0.465540i | ||||
\(297\) | −0.451666 | − | 1.68564i | −0.0262083 | − | 0.0978108i | ||||
\(298\) | − | 2.67424i | − | 0.154914i | ||||||
\(299\) | −12.7952 | − | 3.88056i | −0.739967 | − | 0.224418i | ||||
\(300\) | − | 0.589666i | − | 0.0340444i | ||||||
\(301\) | 2.32728 | − | 9.77861i | 0.134142 | − | 0.563630i | ||||
\(302\) | −15.7667 | + | 27.3088i | −0.907274 | + | 1.57144i | ||||
\(303\) | −11.6822 | + | 6.74473i | −0.671125 | + | 0.387474i | ||||
\(304\) | 4.67156 | + | 4.67156i | 0.267933 | + | 0.267933i | ||||
\(305\) | 0.0515893 | + | 0.0138233i | 0.00295399 | + | 0.000791520i | ||||
\(306\) | −4.12913 | − | 1.10640i | −0.236046 | − | 0.0632484i | ||||
\(307\) | −3.48509 | + | 3.48509i | −0.198904 | + | 0.198904i | −0.799530 | − | 0.600626i | \(-0.794918\pi\) |
0.600626 | + | 0.799530i | \(0.294918\pi\) | |||||||
\(308\) | 0.0283660 | + | 1.00743i | 0.00161630 | + | 0.0574037i | ||||
\(309\) | −7.73681 | − | 4.46685i | −0.440132 | − | 0.254110i | ||||
\(310\) | 4.08338 | − | 1.09414i | 0.231920 | − | 0.0621429i | ||||
\(311\) | −16.5536 | −0.938671 | −0.469335 | − | 0.883020i | \(-0.655506\pi\) | ||||
−0.469335 | + | 0.883020i | \(0.655506\pi\) | |||||||
\(312\) | −4.51081 | − | 8.43791i | −0.255374 | − | 0.477703i | ||||
\(313\) | 21.0200i | 1.18812i | 0.804421 | + | 0.594060i | \(0.202476\pi\) | ||||
−0.804421 | + | 0.594060i | \(0.797524\pi\) | |||||||
\(314\) | −28.0536 | + | 7.51694i | −1.58316 | + | 0.424205i | ||||
\(315\) | −2.10261 | − | 3.41602i | −0.118469 | − | 0.192471i | ||||
\(316\) | 0.667349 | − | 0.385294i | 0.0375413 | − | 0.0216745i | ||||
\(317\) | 10.3124 | − | 10.3124i | 0.579204 | − | 0.579204i | −0.355480 | − | 0.934684i | \(-0.615683\pi\) |
0.934684 | + | 0.355480i | \(0.115683\pi\) | |||||||
\(318\) | −0.528954 | + | 1.97408i | −0.0296623 | + | 0.110701i | ||||
\(319\) | −1.49477 | + | 5.57856i | −0.0836911 | + | 0.312339i | ||||
\(320\) | 7.44722 | − | 7.44722i | 0.416312 | − | 0.416312i | ||||
\(321\) | 11.2993 | − | 6.52366i | 0.630666 | − | 0.364115i | ||||
\(322\) | −7.65982 | − | 12.4446i | −0.426865 | − | 0.693511i | ||||
\(323\) | 4.17320 | − | 1.11821i | 0.232203 | − | 0.0622187i | ||||
\(324\) | − | 0.218281i | − | 0.0121267i | ||||||
\(325\) | −2.21230 | − | 9.48548i | −0.122716 | − | 0.526160i | ||||
\(326\) | 22.4667 | 1.24431 | ||||||||
\(327\) | 19.1681 | − | 5.13607i | 1.06000 | − | 0.284025i | ||||
\(328\) | −7.37575 | − | 4.25839i | −0.407258 | − | 0.235130i | ||||
\(329\) | 0.617489 | + | 21.9304i | 0.0340433 | + | 1.20906i | ||||
\(330\) | −2.78642 | + | 2.78642i | −0.153387 | + | 0.153387i | ||||
\(331\) | 22.7352 | + | 6.09189i | 1.24964 | + | 0.334840i | 0.822198 | − | 0.569202i | \(-0.192748\pi\) |
0.427444 | + | 0.904042i | \(0.359414\pi\) | |||||||
\(332\) | 3.23268 | + | 0.866193i | 0.177416 | + | 0.0475385i | ||||
\(333\) | −4.26845 | − | 4.26845i | −0.233910 | − | 0.233910i | ||||
\(334\) | 10.3769 | − | 5.99111i | 0.567799 | − | 0.327819i | ||||
\(335\) | −3.69578 | + | 6.40128i | −0.201922 | + | 0.349739i | ||||
\(336\) | 2.68852 | − | 11.2965i | 0.146671 | − | 0.616272i | ||||
\(337\) | 14.6004i | 0.795337i | 0.917529 | + | 0.397668i | \(0.130181\pi\) | ||||
−0.917529 | + | 0.397668i | \(0.869819\pi\) | |||||||
\(338\) | 12.7680 | + | 14.5556i | 0.694489 | + | 0.791723i | ||||
\(339\) | 11.2062i | 0.608639i | ||||||||
\(340\) | 0.245839 | + | 0.917483i | 0.0133325 | + | 0.0497575i | ||||
\(341\) | 2.82936 | + | 1.63353i | 0.153219 | + | 0.0884607i | ||||
\(342\) | 1.12098 | + | 1.94160i | 0.0606157 | + | 0.104989i | ||||
\(343\) | −14.1537 | − | 11.9445i | −0.764230 | − | 0.644944i | ||||
\(344\) | 9.73830 | + | 2.60937i | 0.525054 | + | 0.140688i | ||||
\(345\) | 1.45516 | − | 5.43074i | 0.0783433 | − | 0.292381i | ||||
\(346\) | 22.9641 | − | 22.9641i | 1.23456 | − | 1.23456i | ||||
\(347\) | −8.48574 | − | 14.6977i | −0.455538 | − | 0.789016i | 0.543181 | − | 0.839616i | \(-0.317220\pi\) |
−0.998719 | + | 0.0506002i | \(0.983887\pi\) | |||||||
\(348\) | −0.361197 | + | 0.625611i | −0.0193622 | + | 0.0335363i | ||||
\(349\) | −0.728645 | − | 2.71934i | −0.0390035 | − | 0.145563i | 0.943678 | − | 0.330865i | \(-0.107340\pi\) |
−0.982682 | + | 0.185302i | \(0.940674\pi\) | |||||||
\(350\) | 5.06093 | − | 9.36502i | 0.270518 | − | 0.500581i | ||||
\(351\) | −0.818944 | − | 3.51131i | −0.0437120 | − | 0.187420i | ||||
\(352\) | −2.14553 | −0.114357 | ||||||||
\(353\) | 30.6157 | − | 8.20345i | 1.62951 | − | 0.436625i | 0.675733 | − | 0.737146i | \(-0.263827\pi\) |
0.953775 | + | 0.300521i | \(0.0971605\pi\) | |||||||
\(354\) | 0.746160 | − | 1.29239i | 0.0396580 | − | 0.0686896i | ||||
\(355\) | −8.95350 | − | 15.5079i | −0.475203 | − | 0.823075i | ||||
\(356\) | −1.20614 | − | 1.20614i | −0.0639253 | − | 0.0639253i | ||||
\(357\) | −5.51858 | − | 5.21632i | −0.292074 | − | 0.276077i | ||||
\(358\) | −3.74646 | + | 13.9820i | −0.198006 | + | 0.738970i | ||||
\(359\) | 12.8172 | + | 12.8172i | 0.676466 | + | 0.676466i | 0.959199 | − | 0.282733i | \(-0.0912410\pi\) |
−0.282733 | + | 0.959199i | \(0.591241\pi\) | |||||||
\(360\) | 3.48425 | − | 2.01163i | 0.183636 | − | 0.106022i | ||||
\(361\) | 14.4922 | + | 8.36705i | 0.762745 | + | 0.440371i | ||||
\(362\) | 5.24402 | + | 19.5709i | 0.275619 | + | 1.02863i | ||||
\(363\) | 7.95461 | 0.417509 | ||||||||
\(364\) | −0.00940337 | + | 2.08225i | −0.000492870 | + | 0.109140i | ||||
\(365\) | 24.3036 | 1.27211 | ||||||||
\(366\) | 0.0135797 | + | 0.0506800i | 0.000709820 | + | 0.00264908i | ||||
\(367\) | −3.51454 | − | 2.02912i | −0.183457 | − | 0.105919i | 0.405459 | − | 0.914113i | \(-0.367112\pi\) |
−0.588916 | + | 0.808194i | \(0.700445\pi\) | |||||||
\(368\) | 14.0952 | − | 8.13787i | 0.734764 | − | 0.424216i | ||||
\(369\) | −2.26941 | − | 2.26941i | −0.118141 | − | 0.118141i | ||||
\(370\) | −3.52794 | + | 13.1665i | −0.183409 | + | 0.684492i | ||||
\(371\) | −2.49386 | + | 2.63836i | −0.129475 | + | 0.136977i | ||||
\(372\) | 0.288960 | + | 0.288960i | 0.0149819 | + | 0.0149819i | ||||
\(373\) | 5.07453 | + | 8.78935i | 0.262749 | + | 0.455095i | 0.966972 | − | 0.254884i | \(-0.0820374\pi\) |
−0.704222 | + | 0.709980i | \(0.748704\pi\) | |||||||
\(374\) | −3.72997 | + | 6.46050i | −0.192872 | + | 0.334065i | ||||
\(375\) | 11.2783 | − | 3.02202i | 0.582411 | − | 0.156056i | ||||
\(376\) | −22.0047 | −1.13481 | ||||||||
\(377\) | −3.46312 | + | 11.4188i | −0.178360 | + | 0.588099i | ||||
\(378\) | 1.87345 | − | 3.46672i | 0.0963597 | − | 0.178309i | ||||
\(379\) | 1.04136 | + | 3.88639i | 0.0534908 | + | 0.199630i | 0.987500 | − | 0.157618i | \(-0.0503815\pi\) |
−0.934009 | + | 0.357249i | \(0.883715\pi\) | |||||||
\(380\) | 0.249080 | − | 0.431418i | 0.0127775 | − | 0.0221313i | ||||
\(381\) | −2.11908 | − | 3.67035i | −0.108564 | − | 0.188038i | ||||
\(382\) | −0.891216 | + | 0.891216i | −0.0455986 | + | 0.0455986i | ||||
\(383\) | 0.289889 | − | 1.08188i | 0.0148126 | − | 0.0552815i | −0.958124 | − | 0.286354i | \(-0.907557\pi\) |
0.972937 | + | 0.231072i | \(0.0742234\pi\) | |||||||
\(384\) | 12.3689 | + | 3.31424i | 0.631199 | + | 0.169129i | ||||
\(385\) | −6.70787 | + | 2.00134i | −0.341865 | + | 0.101998i | ||||
\(386\) | −1.18095 | − | 2.04547i | −0.0601090 | − | 0.104112i | ||||
\(387\) | 3.29020 | + | 1.89960i | 0.167250 | + | 0.0965621i | ||||
\(388\) | −0.538830 | − | 2.01094i | −0.0273550 | − | 0.102090i | ||||
\(389\) | − | 2.46580i | − | 0.125021i | −0.998044 | − | 0.0625106i | \(-0.980089\pi\) | ||
0.998044 | − | 0.0625106i | \(-0.0199107\pi\) | |||||||
\(390\) | −5.94195 | + | 5.56591i | −0.300882 | + | 0.281841i | ||||
\(391\) | − | 10.6436i | − | 0.538271i | ||||||
\(392\) | 12.3751 | − | 13.8533i | 0.625037 | − | 0.699697i | ||||
\(393\) | −3.63732 | + | 6.30003i | −0.183479 | + | 0.317794i | ||||
\(394\) | 6.72867 | − | 3.88480i | 0.338985 | − | 0.195713i | ||||
\(395\) | 3.78462 | + | 3.78462i | 0.190425 | + | 0.190425i | ||||
\(396\) | −0.367944 | − | 0.0985903i | −0.0184899 | − | 0.00495435i | ||||
\(397\) | −13.8529 | − | 3.71187i | −0.695257 | − | 0.186294i | −0.106152 | − | 0.994350i | \(-0.533853\pi\) |
−0.589105 | + | 0.808056i | \(0.700520\pi\) | |||||||
\(398\) | 1.42844 | − | 1.42844i | 0.0716012 | − | 0.0716012i | ||||
\(399\) | 0.112094 | + | 3.98104i | 0.00561170 | + | 0.199301i | ||||
\(400\) | 10.2678 | + | 5.92812i | 0.513390 | + | 0.296406i | ||||
\(401\) | 9.59670 | − | 2.57143i | 0.479236 | − | 0.128411i | −0.0111107 | − | 0.999938i | \(-0.503537\pi\) |
0.490347 | + | 0.871527i | \(0.336870\pi\) | |||||||
\(402\) | −7.26128 | −0.362160 | ||||||||
\(403\) | 5.73238 | + | 3.56415i | 0.285550 | + | 0.177543i | ||||
\(404\) | 2.94450i | 0.146494i | ||||||||
\(405\) | 1.46445 | − | 0.392399i | 0.0727692 | − | 0.0194985i | ||||
\(406\) | −11.1059 | + | 6.83584i | −0.551178 | + | 0.339257i | ||||
\(407\) | −9.12300 | + | 5.26716i | −0.452210 | + | 0.261084i | ||||
\(408\) | 5.38565 | − | 5.38565i | 0.266630 | − | 0.266630i | ||||
\(409\) | 9.20429 | − | 34.3509i | 0.455123 | − | 1.69854i | −0.232603 | − | 0.972572i | \(-0.574724\pi\) |
0.687726 | − | 0.725970i | \(-0.258609\pi\) | |||||||
\(410\) | −1.87570 | + | 7.00022i | −0.0926344 | + | 0.345716i | ||||
\(411\) | 14.7226 | − | 14.7226i | 0.726213 | − | 0.726213i | ||||
\(412\) | −1.68880 | + | 0.975031i | −0.0832013 | + | 0.0480363i | ||||
\(413\) | 2.25758 | − | 1.38957i | 0.111088 | − | 0.0683763i | ||||
\(414\) | 5.33502 | − | 1.42951i | 0.262202 | − | 0.0702568i | ||||
\(415\) | 23.2452i | 1.14106i | ||||||||
\(416\) | −4.43051 | − | 0.144776i | −0.217224 | − | 0.00709821i | ||||
\(417\) | −18.7627 | −0.918816 | ||||||||
\(418\) | 3.77914 | − | 1.01262i | 0.184844 | − | 0.0495288i | ||||
\(419\) | 22.2160 | + | 12.8264i | 1.08532 | + | 0.626611i | 0.932327 | − | 0.361616i | \(-0.117775\pi\) |
0.152995 | + | 0.988227i | \(0.451108\pi\) | |||||||
\(420\) | −0.875236 | + | 0.0246439i | −0.0427071 | + | 0.00120250i | ||||
\(421\) | −9.66177 | + | 9.66177i | −0.470886 | + | 0.470886i | −0.902201 | − | 0.431315i | \(-0.858050\pi\) |
0.431315 | + | 0.902201i | \(0.358050\pi\) | |||||||
\(422\) | 35.7186 | + | 9.57077i | 1.73875 | + | 0.465898i | ||||
\(423\) | −8.00963 | − | 2.14617i | −0.389442 | − | 0.104351i | ||||
\(424\) | −2.57481 | − | 2.57481i | −0.125044 | − | 0.125044i | ||||
\(425\) | 6.71469 | − | 3.87673i | 0.325710 | − | 0.188049i | ||||
\(426\) | 8.79569 | − | 15.2346i | 0.426153 | − | 0.738118i | ||||
\(427\) | −0.0215794 | + | 0.0906712i | −0.00104430 | + | 0.00438789i | ||||
\(428\) | − | 2.84799i | − | 0.137663i | ||||||
\(429\) | −6.28871 | − | 0.205496i | −0.303622 | − | 0.00992142i | ||||
\(430\) | − | 8.57890i | − | 0.413712i | ||||||
\(431\) | −1.68005 | − | 6.27002i | −0.0809250 | − | 0.302016i | 0.913586 | − | 0.406645i | \(-0.133301\pi\) |
−0.994511 | + | 0.104629i | \(0.966635\pi\) | |||||||
\(432\) | 3.80091 | + | 2.19446i | 0.182871 | + | 0.105581i | ||||
\(433\) | −16.7283 | − | 28.9743i | −0.803912 | − | 1.39242i | −0.917023 | − | 0.398834i | \(-0.869415\pi\) |
0.113111 | − | 0.993582i | \(-0.463918\pi\) | |||||||
\(434\) | 2.10918 | + | 7.06930i | 0.101244 | + | 0.339337i | ||||
\(435\) | −4.84654 | − | 1.29863i | −0.232374 | − | 0.0622644i | ||||
\(436\) | 1.12111 | − | 4.18403i | 0.0536913 | − | 0.200379i | ||||
\(437\) | −3.94720 | + | 3.94720i | −0.188820 | + | 0.188820i | ||||
\(438\) | 11.9376 | + | 20.6765i | 0.570401 | + | 0.987963i | ||||
\(439\) | −9.81984 | + | 17.0085i | −0.468675 | + | 0.811769i | −0.999359 | − | 0.0358007i | \(-0.988602\pi\) |
0.530684 | + | 0.847570i | \(0.321935\pi\) | |||||||
\(440\) | −1.81717 | − | 6.78178i | −0.0866303 | − | 0.323309i | ||||
\(441\) | 5.85563 | − | 3.83557i | 0.278840 | − | 0.182646i | ||||
\(442\) | −8.13831 | + | 13.0892i | −0.387100 | + | 0.622590i | ||||
\(443\) | 16.3344 | 0.776072 | 0.388036 | − | 0.921644i | \(-0.373154\pi\) | ||||
0.388036 | + | 0.921644i | \(0.373154\pi\) | |||||||
\(444\) | −1.27276 | + | 0.341035i | −0.0604024 | + | 0.0161848i | ||||
\(445\) | 5.92376 | − | 10.2603i | 0.280813 | − | 0.486383i | ||||
\(446\) | −10.5201 | − | 18.2213i | −0.498140 | − | 0.862804i | ||||
\(447\) | 1.26963 | + | 1.26963i | 0.0600514 | + | 0.0600514i | ||||
\(448\) | 13.3567 | + | 12.6251i | 0.631045 | + | 0.596481i | ||||
\(449\) | −5.76005 | + | 21.4968i | −0.271834 | + | 1.01450i | 0.686100 | + | 0.727507i | \(0.259321\pi\) |
−0.957934 | + | 0.286990i | \(0.907345\pi\) | |||||||
\(450\) | 2.84500 | + | 2.84500i | 0.134115 | + | 0.134115i | ||||
\(451\) | −4.85043 | + | 2.80040i | −0.228398 | + | 0.131865i | ||||
\(452\) | 2.11840 | + | 1.22306i | 0.0996410 | + | 0.0575277i | ||||
\(453\) | −5.47974 | − | 20.4507i | −0.257461 | − | 0.960856i | ||||
\(454\) | 33.1855 | 1.55747 | ||||||||
\(455\) | −13.9867 | + | 3.68012i | −0.655709 | + | 0.172527i | ||||
\(456\) | −3.99455 | −0.187062 | ||||||||
\(457\) | −2.56831 | − | 9.58507i | −0.120141 | − | 0.448371i | 0.879479 | − | 0.475937i | \(-0.157891\pi\) |
−0.999620 | + | 0.0275663i | \(0.991224\pi\) | |||||||
\(458\) | 15.8587 | + | 9.15602i | 0.741028 | + | 0.427833i | ||||
\(459\) | 2.48563 | − | 1.43508i | 0.116019 | − | 0.0669838i | ||||
\(460\) | −0.867794 | − | 0.867794i | −0.0404611 | − | 0.0404611i | ||||
\(461\) | −9.43198 | + | 35.2006i | −0.439291 | + | 1.63946i | 0.291293 | + | 0.956634i | \(0.405915\pi\) |
−0.730584 | + | 0.682823i | \(0.760752\pi\) | |||||||
\(462\) | −4.99748 | − | 4.72376i | −0.232504 | − | 0.219769i | ||||
\(463\) | −5.57925 | − | 5.57925i | −0.259290 | − | 0.259290i | 0.565476 | − | 0.824765i | \(-0.308693\pi\) |
−0.824765 | + | 0.565476i | \(0.808693\pi\) | |||||||
\(464\) | −7.26247 | − | 12.5790i | −0.337152 | − | 0.583964i | ||||
\(465\) | −1.41918 | + | 2.45809i | −0.0658130 | + | 0.113991i | ||||
\(466\) | 38.6226 | − | 10.3489i | 1.78916 | − | 0.479403i | ||||
\(467\) | −23.2676 | −1.07670 | −0.538349 | − | 0.842722i | \(-0.680952\pi\) | ||||
−0.538349 | + | 0.842722i | \(0.680952\pi\) | |||||||
\(468\) | −0.753149 | − | 0.228416i | −0.0348143 | − | 0.0105585i | ||||
\(469\) | −11.3479 | − | 6.13250i | −0.523997 | − | 0.283173i | ||||
\(470\) | 4.84624 | + | 18.0864i | 0.223540 | + | 0.834264i | ||||
\(471\) | 9.75004 | − | 16.8876i | 0.449258 | − | 0.778138i | ||||
\(472\) | 1.32945 | + | 2.30267i | 0.0611928 | + | 0.105989i | ||||
\(473\) | 4.68812 | − | 4.68812i | 0.215560 | − | 0.215560i | ||||
\(474\) | −1.36085 | + | 5.07876i | −0.0625059 | + | 0.233275i | ||||
\(475\) | −3.92783 | − | 1.05246i | −0.180221 | − | 0.0482902i | ||||
\(476\) | −1.58838 | + | 0.473904i | −0.0728033 | + | 0.0217214i | ||||
\(477\) | −0.686094 | − | 1.18835i | −0.0314141 | − | 0.0544108i | ||||
\(478\) | 11.7248 | + | 6.76932i | 0.536280 | + | 0.309622i | ||||
\(479\) | 9.64340 | + | 35.9897i | 0.440618 | + | 1.64441i | 0.727252 | + | 0.686370i | \(0.240797\pi\) |
−0.286634 | + | 0.958040i | \(0.592536\pi\) | |||||||
\(480\) | − | 1.86400i | − | 0.0850795i | ||||||
\(481\) | −19.1943 | + | 10.2611i | −0.875187 | + | 0.467864i | ||||
\(482\) | − | 33.1652i | − | 1.51063i | ||||||
\(483\) | 9.54484 | + | 2.27164i | 0.434305 | + | 0.103363i | ||||
\(484\) | 0.868172 | − | 1.50372i | 0.0394624 | − | 0.0683508i | ||||
\(485\) | 12.5228 | − | 7.23004i | 0.568631 | − | 0.328299i | ||||
\(486\) | 1.05316 | + | 1.05316i | 0.0477722 | + | 0.0477722i | ||||
\(487\) | −40.0906 | − | 10.7422i | −1.81668 | − | 0.486777i | −0.820308 | − | 0.571922i | \(-0.806198\pi\) |
−0.996369 | + | 0.0851447i | \(0.972865\pi\) | |||||||
\(488\) | −0.0902975 | − | 0.0241951i | −0.00408757 | − | 0.00109526i | ||||
\(489\) | −10.6663 | + | 10.6663i | −0.482349 | + | 0.482349i | ||||
\(490\) | −14.1119 | − | 7.12050i | −0.637511 | − | 0.321672i | ||||
\(491\) | 7.22040 | + | 4.16870i | 0.325852 | + | 0.188131i | 0.653998 | − | 0.756496i | \(-0.273090\pi\) |
−0.328146 | + | 0.944627i | \(0.606424\pi\) | |||||||
\(492\) | −0.676688 | + | 0.181318i | −0.0305075 | + | 0.00817445i | ||||
\(493\) | −9.49867 | −0.427799 | ||||||||
\(494\) | 7.87223 | − | 1.83604i | 0.354189 | − | 0.0826074i | ||||
\(495\) | − | 2.64577i | − | 0.118919i | ||||||
\(496\) | −7.93666 | + | 2.12662i | −0.356366 | + | 0.0954881i | ||||
\(497\) | 26.6122 | − | 16.3802i | 1.19372 | − | 0.734751i | ||||
\(498\) | −19.7761 | + | 11.4177i | −0.886188 | + | 0.511641i | ||||
\(499\) | −6.61818 | + | 6.61818i | −0.296270 | + | 0.296270i | −0.839551 | − | 0.543281i | \(-0.817182\pi\) |
0.543281 | + | 0.839551i | \(0.317182\pi\) | |||||||
\(500\) | 0.659651 | − | 2.46185i | 0.0295005 | − | 0.110097i | ||||
\(501\) | −2.08221 | + | 7.77093i | −0.0930265 | + | 0.347180i | ||||
\(502\) | 32.1708 | − | 32.1708i | 1.43585 | − | 1.43585i | ||||
\(503\) | −6.07077 | + | 3.50496i | −0.270682 | + | 0.156278i | −0.629198 | − | 0.777245i | \(-0.716616\pi\) |
0.358515 | + | 0.933524i | \(0.383283\pi\) | |||||||
\(504\) | 3.68022 | + | 5.97912i | 0.163930 | + | 0.266331i | ||||
\(505\) | −19.7547 | + | 5.29324i | −0.879071 | + | 0.235546i | ||||
\(506\) | − | 9.63859i | − | 0.428487i | ||||||
\(507\) | −12.9723 | − | 0.848694i | −0.576119 | − | 0.0376918i | ||||
\(508\) | −0.925111 | −0.0410452 | ||||||||
\(509\) | 6.23491 | − | 1.67064i | 0.276357 | − | 0.0740498i | −0.117978 | − | 0.993016i | \(-0.537641\pi\) |
0.394336 | + | 0.918966i | \(0.370975\pi\) | |||||||
\(510\) | −5.61276 | − | 3.24053i | −0.248537 | − | 0.143493i | ||||
\(511\) | 1.19371 | + | 42.3951i | 0.0528067 | + | 1.87545i | ||||
\(512\) | −12.6554 | + | 12.6554i | −0.559297 | + | 0.559297i | ||||
\(513\) | −1.45400 | − | 0.389597i | −0.0641956 | − | 0.0172011i | ||||
\(514\) | −18.8146 | − | 5.04136i | −0.829878 | − | 0.222365i | ||||
\(515\) | −9.57741 | − | 9.57741i | −0.422031 | − | 0.422031i | ||||
\(516\) | 0.718190 | − | 0.414647i | 0.0316166 | − | 0.0182538i | ||||
\(517\) | −7.23536 | + | 12.5320i | −0.318211 | + | 0.551157i | ||||
\(518\) | −23.1408 | − | 5.50744i | −1.01675 | − | 0.241983i | ||||
\(519\) | 21.8050i | 0.957135i | ||||||||
\(520\) | −3.29483 | − | 14.1270i | −0.144488 | − | 0.619508i | ||||
\(521\) | 13.2340i | 0.579793i | 0.957058 | + | 0.289896i | \(0.0936208\pi\) | ||||
−0.957058 | + | 0.289896i | \(0.906379\pi\) | |||||||
\(522\) | −1.27574 | − | 4.76112i | −0.0558375 | − | 0.208389i | ||||
\(523\) | 35.3268 | + | 20.3959i | 1.54473 | + | 0.891852i | 0.998530 | + | 0.0541990i | \(0.0172605\pi\) |
0.546203 | + | 0.837653i | \(0.316073\pi\) | |||||||
\(524\) | 0.793960 | + | 1.37518i | 0.0346843 | + | 0.0600749i | ||||
\(525\) | 2.04342 | + | 6.84890i | 0.0891821 | + | 0.298911i | ||||
\(526\) | −13.2282 | − | 3.54450i | −0.576779 | − | 0.154547i | ||||
\(527\) | −1.39072 | + | 5.19023i | −0.0605806 | + | 0.226090i | ||||
\(528\) | 5.41581 | − | 5.41581i | 0.235693 | − | 0.235693i | ||||
\(529\) | −4.62397 | − | 8.00896i | −0.201042 | − | 0.348216i | ||||
\(530\) | −1.54926 | + | 2.68339i | −0.0672954 | + | 0.116559i | ||||
\(531\) | 0.259328 | + | 0.967827i | 0.0112539 | + | 0.0420001i | ||||
\(532\) | 0.764799 | + | 0.413304i | 0.0331583 | + | 0.0179190i | ||||
\(533\) | −10.2051 | + | 5.45550i | −0.442030 | + | 0.236304i | ||||
\(534\) | 11.6387 | 0.503656 | ||||||||
\(535\) | 19.1072 | − | 5.11975i | 0.826075 | − | 0.221346i | ||||
\(536\) | 6.46878 | − | 11.2042i | 0.279409 | − | 0.483950i | ||||
\(537\) | −4.85944 | − | 8.41680i | −0.209700 | − | 0.363212i | ||||
\(538\) | 12.2404 | + | 12.2404i | 0.527721 | + | 0.527721i | ||||
\(539\) | −3.82060 | − | 11.6029i | −0.164565 | − | 0.499772i | ||||
\(540\) | 0.0856533 | − | 0.319663i | 0.00368593 | − | 0.0137561i | ||||
\(541\) | −14.4412 | − | 14.4412i | −0.620878 | − | 0.620878i | 0.324878 | − | 0.945756i | \(-0.394677\pi\) |
−0.945756 | + | 0.324878i | \(0.894677\pi\) | |||||||
\(542\) | −27.0619 | + | 15.6242i | −1.16241 | + | 0.671117i | ||||
\(543\) | −11.7812 | − | 6.80189i | −0.505580 | − | 0.291897i | ||||
\(544\) | −0.913306 | − | 3.40851i | −0.0391577 | − | 0.146138i | ||||
\(545\) | 30.0861 | 1.28875 | ||||||||
\(546\) | −10.0010 | − | 10.0917i | −0.428004 | − | 0.431887i | ||||
\(547\) | 3.47188 | 0.148447 | 0.0742234 | − | 0.997242i | \(-0.476352\pi\) | ||||
0.0742234 | + | 0.997242i | \(0.476352\pi\) | |||||||
\(548\) | −1.17629 | − | 4.38996i | −0.0502484 | − | 0.187530i | ||||
\(549\) | −0.0305081 | − | 0.0176138i | −0.00130205 | − | 0.000751741i | ||||
\(550\) | 6.08065 | − | 3.51066i | 0.259280 | − | 0.149695i | ||||
\(551\) | 3.52259 | + | 3.52259i | 0.150067 | + | 0.150067i | ||||
\(552\) | −2.54699 | + | 9.50550i | −0.108407 | + | 0.404581i | ||||
\(553\) | −6.41599 | + | 6.78777i | −0.272836 | + | 0.288645i | ||||
\(554\) | −16.6290 | − | 16.6290i | −0.706500 | − | 0.706500i | ||||
\(555\) | −4.57601 | − | 7.92588i | −0.194241 | − | 0.336435i | ||||
\(556\) | −2.04778 | + | 3.54686i | −0.0868452 | + | 0.150420i | ||||
\(557\) | −42.2673 | + | 11.3255i | −1.79092 | + | 0.479876i | −0.992503 | − | 0.122224i | \(-0.960997\pi\) |
−0.798420 | + | 0.602100i | \(0.794331\pi\) | |||||||
\(558\) | −2.78833 | −0.118040 | ||||||||
\(559\) | 9.99727 | − | 9.36459i | 0.422840 | − | 0.396080i | ||||
\(560\) | 8.36993 | − | 15.4881i | 0.353694 | − | 0.654494i | ||||
\(561\) | −1.29635 | − | 4.83806i | −0.0547321 | − | 0.204263i | ||||
\(562\) | 6.49215 | − | 11.2447i | 0.273855 | − | 0.474330i | ||||
\(563\) | 2.66750 | + | 4.62024i | 0.112422 | + | 0.194720i | 0.916746 | − | 0.399470i | \(-0.130806\pi\) |
−0.804325 | + | 0.594190i | \(0.797473\pi\) | |||||||
\(564\) | −1.27988 | + | 1.27988i | −0.0538928 | + | 0.0538928i | ||||
\(565\) | −4.39731 | + | 16.4110i | −0.184996 | + | 0.690416i | ||||
\(566\) | −7.66755 | − | 2.05451i | −0.322291 | − | 0.0863577i | ||||
\(567\) | 0.756429 | + | 2.53531i | 0.0317670 | + | 0.106473i | ||||
\(568\) | 15.6714 | + | 27.1437i | 0.657559 | + | 1.13893i | ||||
\(569\) | 15.8463 | + | 9.14887i | 0.664312 | + | 0.383541i | 0.793918 | − | 0.608025i | \(-0.208038\pi\) |
−0.129606 | + | 0.991566i | \(0.541371\pi\) | |||||||
\(570\) | 0.879743 | + | 3.28325i | 0.0368484 | + | 0.137520i | ||||
\(571\) | − | 33.5009i | − | 1.40197i | −0.713176 | − | 0.700985i | \(-0.752744\pi\) | ||
0.713176 | − | 0.700985i | \(-0.247256\pi\) | |||||||
\(572\) | −0.725200 | + | 1.16637i | −0.0303221 | + | 0.0487684i | ||||
\(573\) | − | 0.846233i | − | 0.0353519i | ||||||
\(574\) | −12.3033 | − | 2.92814i | −0.513530 | − | 0.122218i | ||||
\(575\) | −5.00891 | + | 8.67568i | −0.208886 | + | 0.361801i | ||||
\(576\) | −6.01601 | + | 3.47334i | −0.250667 | + | 0.144723i | ||||
\(577\) | 8.55149 | + | 8.55149i | 0.356003 | + | 0.356003i | 0.862337 | − | 0.506334i | \(-0.169000\pi\) |
−0.506334 | + | 0.862337i | \(0.669000\pi\) | |||||||
\(578\) | 12.6056 | + | 3.37767i | 0.524325 | + | 0.140493i | ||||
\(579\) | 1.53179 | + | 0.410441i | 0.0636589 | + | 0.0170573i | ||||
\(580\) | −0.774444 | + | 0.774444i | −0.0321570 | + | 0.0321570i | ||||
\(581\) | −40.5489 | + | 1.14173i | −1.68225 | + | 0.0473668i | ||||
\(582\) | 12.3021 | + | 7.10260i | 0.509937 | + | 0.294412i | ||||
\(583\) | −2.31302 | + | 0.619771i | −0.0957953 | + | 0.0256683i | ||||
\(584\) | −42.5389 | −1.76027 | ||||||||
\(585\) | 0.178531 | − | 5.46350i | 0.00738133 | − | 0.225888i | ||||
\(586\) | 32.1870i | 1.32963i | ||||||||
\(587\) | −42.3546 | + | 11.3489i | −1.74816 | + | 0.468419i | −0.984232 | − | 0.176881i | \(-0.943399\pi\) |
−0.763929 | + | 0.645300i | \(0.776732\pi\) | |||||||
\(588\) | −0.0859774 | − | 1.52555i | −0.00354565 | − | 0.0629126i | ||||
\(589\) | 2.44055 | − | 1.40905i | 0.100561 | − | 0.0580589i | ||||
\(590\) | 1.59985 | − | 1.59985i | 0.0658647 | − | 0.0658647i | ||||
\(591\) | −1.35016 | + | 5.03888i | −0.0555383 | + | 0.207272i | ||||
\(592\) | 6.85708 | − | 25.5910i | 0.281824 | − | 1.05178i | ||||
\(593\) | 29.3548 | − | 29.3548i | 1.20546 | − | 1.20546i | 0.232973 | − | 0.972483i | \(-0.425155\pi\) |
0.972483 | − | 0.232973i | \(-0.0748454\pi\) | |||||||
\(594\) | 2.25092 | − | 1.29957i | 0.0923564 | − | 0.0533220i | ||||
\(595\) | −6.03482 | − | 9.80453i | −0.247403 | − | 0.401947i | ||||
\(596\) | 0.378575 | − | 0.101439i | 0.0155070 | − | 0.00415510i | ||||
\(597\) | 1.35634i | 0.0555113i | ||||||||
\(598\) | 0.650389 | − | 19.9036i | 0.0265964 | − | 0.813919i | ||||
\(599\) | −17.3994 | −0.710920 | −0.355460 | − | 0.934691i | \(-0.615676\pi\) | ||||
−0.355460 | + | 0.934691i | \(0.615676\pi\) | |||||||
\(600\) | −6.92438 | + | 1.85538i | −0.282686 | + | 0.0757456i | ||||
\(601\) | 3.87707 | + | 2.23843i | 0.158149 | + | 0.0913074i | 0.576986 | − | 0.816754i | \(-0.304229\pi\) |
−0.418837 | + | 0.908062i | \(0.637562\pi\) | |||||||
\(602\) | 14.9650 | − | 0.421368i | 0.609929 | − | 0.0171737i | ||||
\(603\) | 3.44738 | − | 3.44738i | 0.140388 | − | 0.140388i | ||||
\(604\) | −4.46400 | − | 1.19612i | −0.181638 | − | 0.0486696i | ||||
\(605\) | 11.6491 | + | 3.12138i | 0.473605 | + | 0.126902i | ||||
\(606\) | −14.2065 | − | 14.2065i | −0.577100 | − | 0.577100i | ||||
\(607\) | 12.0061 | − | 6.93170i | 0.487311 | − | 0.281349i | −0.236147 | − | 0.971717i | \(-0.575885\pi\) |
0.723458 | + | 0.690368i | \(0.242551\pi\) | |||||||
\(608\) | −0.925346 | + | 1.60275i | −0.0375277 | + | 0.0649999i | ||||
\(609\) | 2.02728 | − | 8.51809i | 0.0821494 | − | 0.345170i | ||||
\(610\) | 0.0795470i | 0.00322077i | ||||||||
\(611\) | −15.7866 | + | 25.3903i | −0.638657 | + | 1.02718i | ||||
\(612\) | − | 0.626502i | − | 0.0253249i | ||||||
\(613\) | 3.20626 | + | 11.9659i | 0.129500 | + | 0.483299i | 0.999960 | − | 0.00893943i | \(-0.00284555\pi\) |
−0.870461 | + | 0.492238i | \(0.836179\pi\) | |||||||
\(614\) | −6.35722 | − | 3.67034i | −0.256557 | − | 0.148123i | ||||
\(615\) | −2.43293 | − | 4.21396i | −0.0981052 | − | 0.169923i | ||||
\(616\) | 11.7409 | − | 3.50297i | 0.473053 | − | 0.141139i | ||||
\(617\) | 4.24013 | + | 1.13614i | 0.170701 | + | 0.0457392i | 0.343157 | − | 0.939278i | \(-0.388504\pi\) |
−0.172456 | + | 0.985017i | \(0.555170\pi\) | |||||||
\(618\) | 3.44379 | − | 12.8524i | 0.138529 | − | 0.516999i | ||||
\(619\) | −3.42700 | + | 3.42700i | −0.137743 | + | 0.137743i | −0.772616 | − | 0.634873i | \(-0.781052\pi\) |
0.634873 | + | 0.772616i | \(0.281052\pi\) | |||||||
\(620\) | 0.309781 | + | 0.536556i | 0.0124411 | + | 0.0215486i | ||||
\(621\) | −1.85419 | + | 3.21155i | −0.0744060 | + | 0.128875i | ||||
\(622\) | −6.38114 | − | 23.8147i | −0.255860 | − | 0.954883i | ||||
\(623\) | 18.1889 | + | 9.82944i | 0.728724 | + | 0.393808i | ||||
\(624\) | 11.5491 | − | 10.8182i | 0.462332 | − | 0.433073i | ||||
\(625\) | 4.19541 | 0.167816 | ||||||||
\(626\) | −30.2402 | + | 8.10283i | −1.20864 | + | 0.323854i | ||||
\(627\) | −1.31344 | + | 2.27495i | −0.0524539 | + | 0.0908528i | ||||
\(628\) | −2.12825 | − | 3.68624i | −0.0849265 | − | 0.147097i | ||||
\(629\) | −12.2511 | − | 12.2511i | −0.488485 | − | 0.488485i | ||||
\(630\) | 4.10391 | − | 4.34171i | 0.163504 | − | 0.172978i | ||||
\(631\) | 7.50951 | − | 28.0259i | 0.298949 | − | 1.11569i | −0.639081 | − | 0.769139i | \(-0.720685\pi\) |
0.938030 | − | 0.346554i | \(-0.112648\pi\) | |||||||
\(632\) | −6.62427 | − | 6.62427i | −0.263499 | − | 0.263499i | ||||
\(633\) | −21.5017 | + | 12.4140i | −0.854616 | + | 0.493413i | ||||
\(634\) | 18.8111 | + | 10.8606i | 0.747086 | + | 0.431330i | ||||
\(635\) | −1.66305 | − | 6.20658i | −0.0659961 | − | 0.246301i | ||||
\(636\) | −0.299523 | −0.0118769 | ||||||||
\(637\) | −7.10658 | − | 24.2177i | −0.281573 | − | 0.959540i | ||||
\(638\) | −8.60175 | −0.340546 | ||||||||
\(639\) | 3.05695 | + | 11.4087i | 0.120931 | + | 0.451320i | ||||
\(640\) | 16.8132 | + | 9.70709i | 0.664599 | + | 0.383707i | ||||
\(641\) | 30.8187 | − | 17.7932i | 1.21726 | − | 0.702788i | 0.252932 | − | 0.967484i | \(-0.418605\pi\) |
0.964332 | + | 0.264696i | \(0.0852716\pi\) | |||||||
\(642\) | 13.7409 | + | 13.7409i | 0.542309 | + | 0.542309i | ||||
\(643\) | −1.54772 | + | 5.77618i | −0.0610362 | + | 0.227790i | −0.989706 | − | 0.143118i | \(-0.954287\pi\) |
0.928669 | + | 0.370909i | \(0.120954\pi\) | |||||||
\(644\) | 1.47116 | − | 1.55640i | 0.0579716 | − | 0.0613308i | ||||
\(645\) | 4.07294 | + | 4.07294i | 0.160372 | + | 0.160372i | ||||
\(646\) | 3.21739 | + | 5.57269i | 0.126587 | + | 0.219255i | ||||
\(647\) | 8.50730 | − | 14.7351i | 0.334456 | − | 0.579296i | −0.648924 | − | 0.760853i | \(-0.724781\pi\) |
0.983380 | + | 0.181558i | \(0.0581140\pi\) | |||||||
\(648\) | −2.56325 | + | 0.686821i | −0.100694 | + | 0.0269809i | ||||
\(649\) | 1.74854 | 0.0686361 | ||||||||
\(650\) | 12.7934 | − | 6.83919i | 0.501798 | − | 0.268255i | ||||
\(651\) | −4.35760 | − | 2.35488i | −0.170788 | − | 0.0922951i | ||||
\(652\) | 0.852204 | + | 3.18047i | 0.0333749 | + | 0.124557i | ||||
\(653\) | 4.76337 | − | 8.25040i | 0.186405 | − | 0.322863i | −0.757644 | − | 0.652668i | \(-0.773650\pi\) |
0.944049 | + | 0.329805i | \(0.106983\pi\) | |||||||
\(654\) | 14.7779 | + | 25.5961i | 0.577862 | + | 1.00089i | ||||
\(655\) | −7.79881 | + | 7.79881i | −0.304725 | + | 0.304725i | ||||
\(656\) | 3.64571 | − | 13.6060i | 0.142341 | − | 0.531223i | ||||
\(657\) | −15.4840 | − | 4.14892i | −0.604088 | − | 0.161865i | ||||
\(658\) | −31.3119 | + | 9.34211i | −1.22066 | + | 0.364193i | ||||
\(659\) | −14.3837 | − | 24.9132i | −0.560308 | − | 0.970482i | −0.997469 | − | 0.0710991i | \(-0.977349\pi\) |
0.437161 | − | 0.899383i | \(-0.355984\pi\) | |||||||
\(660\) | −0.500150 | − | 0.288762i | −0.0194683 | − | 0.0112400i | ||||
\(661\) | −5.58403 | − | 20.8399i | −0.217193 | − | 0.810577i | −0.985383 | − | 0.170354i | \(-0.945509\pi\) |
0.768189 | − | 0.640223i | \(-0.221158\pi\) | |||||||
\(662\) | 35.0561i | 1.36250i | ||||||||
\(663\) | −2.35050 | − | 10.0780i | −0.0912859 | − | 0.391398i | ||||
\(664\) | − | 40.6864i | − | 1.57894i | ||||||
\(665\) | −1.39800 | + | 5.87403i | −0.0542121 | + | 0.227785i | ||||
\(666\) | 4.49535 | − | 7.78618i | 0.174191 | − | 0.301708i | ||||
\(667\) | 10.6285 | − | 6.13636i | 0.411537 | − | 0.237601i | ||||
\(668\) | 1.24174 | + | 1.24174i | 0.0480444 | + | 0.0480444i | ||||
\(669\) | 13.6453 | + | 3.65626i | 0.527560 | + | 0.141359i | ||||
\(670\) | −10.6338 | − | 2.84932i | −0.410819 | − | 0.110079i | ||||
\(671\) | −0.0434701 | + | 0.0434701i | −0.00167814 | + | 0.00167814i | ||||
\(672\) | 3.25156 | − | 0.0915535i | 0.125431 | − | 0.00353175i | ||||
\(673\) | 24.5175 | + | 14.1552i | 0.945082 | + | 0.545643i | 0.891550 | − | 0.452923i | \(-0.149619\pi\) |
0.0535322 | + | 0.998566i | \(0.482952\pi\) | |||||||
\(674\) | −21.0048 | + | 5.62821i | −0.809074 | + | 0.216791i | ||||
\(675\) | −2.70140 | −0.103977 | ||||||||
\(676\) | −1.57624 | + | 2.35961i | −0.0606245 | + | 0.0907544i | ||||
\(677\) | 19.7036i | 0.757270i | 0.925546 | + | 0.378635i | \(0.123606\pi\) | ||||
−0.925546 | + | 0.378635i | \(0.876394\pi\) | |||||||
\(678\) | −16.1217 | + | 4.31981i | −0.619152 | + | 0.165901i | ||||
\(679\) | 13.2271 | + | 21.4896i | 0.507611 | + | 0.824696i | ||||
\(680\) | 10.0004 | − | 5.77371i | 0.383496 | − | 0.221412i | ||||
\(681\) | −15.7552 | + | 15.7552i | −0.603742 | + | 0.603742i | ||||
\(682\) | −1.25940 | + | 4.70013i | −0.0482248 | + | 0.179977i | ||||
\(683\) | 6.28752 | − | 23.4653i | 0.240585 | − | 0.897876i | −0.734966 | − | 0.678104i | \(-0.762802\pi\) |
0.975551 | − | 0.219772i | \(-0.0705313\pi\) | |||||||
\(684\) | −0.232339 | + | 0.232339i | −0.00888369 | + | 0.00888369i | ||||
\(685\) | 27.3377 | − | 15.7834i | 1.04452 | − | 0.603053i | ||||
\(686\) | 11.7279 | − | 24.9665i | 0.447772 | − | 0.953227i | ||||
\(687\) | −11.8761 | + | 3.18218i | −0.453100 | + | 0.121408i | ||||
\(688\) | 16.6744i | 0.635704i | ||||||||
\(689\) | −4.81818 | + | 1.12374i | −0.183558 | + | 0.0428113i | ||||
\(690\) | 8.37382 | 0.318786 | ||||||||
\(691\) | −20.9371 | + | 5.61007i | −0.796483 | + | 0.213417i | −0.634039 | − | 0.773301i | \(-0.718604\pi\) |
−0.162444 | + | 0.986718i | \(0.551938\pi\) | |||||||
\(692\) | 4.12196 | + | 2.37982i | 0.156694 | + | 0.0904671i | ||||
\(693\) | 4.61528 | − | 0.129952i | 0.175320 | − | 0.00493646i | ||||
\(694\) | 17.8736 | − | 17.8736i | 0.678474 | − | 0.678474i | ||||
\(695\) | −27.4771 | − | 7.36248i | −1.04227 | − | 0.279275i | ||||
\(696\) | 8.48298 | + | 2.27301i | 0.321546 | + | 0.0861581i | ||||
\(697\) | −6.51357 | − | 6.51357i | −0.246719 | − | 0.246719i | ||||
\(698\) | 3.63127 | − | 2.09652i | 0.137446 | − | 0.0793543i | ||||
\(699\) | −13.4233 | + | 23.2498i | −0.507715 | + | 0.879389i | ||||
\(700\) | 1.51772 | + | 0.361212i | 0.0573643 | + | 0.0136525i | ||||
\(701\) | − | 33.2903i | − | 1.25736i | −0.777665 | − | 0.628678i | \(-0.783596\pi\) | ||
0.777665 | − | 0.628678i | \(-0.216404\pi\) | |||||||
\(702\) | 4.73583 | − | 2.53172i | 0.178742 | − | 0.0955535i | ||||
\(703\) | 9.08668i | 0.342711i | ||||||||
\(704\) | 3.13758 | + | 11.7096i | 0.118252 | + | 0.441323i | ||||
\(705\) | −10.8876 | − | 6.28594i | −0.410050 | − | 0.236742i | ||||
\(706\) | 23.6036 | + | 40.8827i | 0.888334 | + | 1.53864i | ||||
\(707\) | −10.2038 | − | 34.2000i | −0.383754 | − | 1.28622i | ||||
\(708\) | 0.211259 | + | 0.0566065i | 0.00793958 | + | 0.00212740i | ||||
\(709\) | 0.389951 | − | 1.45532i | 0.0146449 | − | 0.0546556i | −0.958217 | − | 0.286043i | \(-0.907660\pi\) |
0.972862 | + | 0.231388i | \(0.0743266\pi\) | |||||||
\(710\) | 18.8589 | − | 18.8589i | 0.707762 | − | 0.707762i | ||||
\(711\) | −1.76513 | − | 3.05729i | −0.0661974 | − | 0.114657i | ||||
\(712\) | −10.3684 | + | 17.9587i | −0.388574 | + | 0.673030i | ||||
\(713\) | −1.79687 | − | 6.70601i | −0.0672933 | − | 0.251142i | ||||
\(714\) | 5.37709 | − | 9.95005i | 0.201232 | − | 0.372371i | ||||
\(715\) | −9.12887 | − | 2.76862i | −0.341400 | − | 0.103540i | ||||
\(716\) | −2.12145 | −0.0792823 | ||||||||
\(717\) | −8.78033 | + | 2.35268i | −0.327907 | + | 0.0878625i | ||||
\(718\) | −13.4985 | + | 23.3801i | −0.503761 | + | 0.872539i | ||||
\(719\) | −16.0502 | − | 27.7997i | −0.598570 | − | 1.03675i | −0.993032 | − | 0.117841i | \(-0.962403\pi\) |
0.394463 | − | 0.918912i | \(-0.370931\pi\) | |||||||
\(720\) | 4.70515 | + | 4.70515i | 0.175351 | + | 0.175351i | ||||
\(721\) | 16.2364 | − | 17.1772i | 0.604675 | − | 0.639713i | ||||
\(722\) | −6.45070 | + | 24.0744i | −0.240070 | + | 0.895955i | ||||
\(723\) | 15.7456 | + | 15.7456i | 0.585586 | + | 0.585586i | ||||
\(724\) | −2.57162 | + | 1.48473i | −0.0955735 | + | 0.0551794i | ||||
\(725\) | 7.74243 | + | 4.47009i | 0.287546 | + | 0.166015i | ||||
\(726\) | 3.06636 | + | 11.4438i | 0.113803 | + | 0.424720i | ||||
\(727\) | 33.7702 | 1.25247 | 0.626233 | − | 0.779636i | \(-0.284596\pi\) | ||||
0.626233 | + | 0.779636i | \(0.284596\pi\) | |||||||
\(728\) | 24.4812 | − | 6.44137i | 0.907334 | − | 0.238733i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 9.36860 | + | 34.9641i | 0.346748 | + | 1.29408i | ||||
\(731\) | 9.44341 | + | 5.45215i | 0.349277 | + | 0.201655i | ||||
\(732\) | −0.00665935 | + | 0.00384478i | −0.000246137 | + | 0.000142107i | ||||
\(733\) | 5.09323 | + | 5.09323i | 0.188123 | + | 0.188123i | 0.794884 | − | 0.606761i | \(-0.207532\pi\) |
−0.606761 | + | 0.794884i | \(0.707532\pi\) | |||||||
\(734\) | 1.56438 | − | 5.83834i | 0.0577423 | − | 0.215497i | ||||
\(735\) | 10.0804 | − | 3.31926i | 0.371820 | − | 0.122433i | ||||
\(736\) | 3.22391 | + | 3.22391i | 0.118835 | + | 0.118835i | ||||
\(737\) | −4.25399 | − | 7.36812i | −0.156698 | − | 0.271408i | ||||
\(738\) | 2.39005 | − | 4.13968i | 0.0879788 | − | 0.152384i | ||||
\(739\) | 22.0821 | − | 5.91687i | 0.812302 | − | 0.217656i | 0.171324 | − | 0.985215i | \(-0.445196\pi\) |
0.640978 | + | 0.767559i | \(0.278529\pi\) | |||||||
\(740\) | −1.99772 | −0.0734375 | ||||||||
\(741\) | −2.86576 | + | 4.60913i | −0.105276 | + | 0.169321i | ||||
\(742\) | −4.75699 | − | 2.57072i | −0.174635 | − | 0.0943741i | ||||
\(743\) | −2.69085 | − | 10.0424i | −0.0987179 | − | 0.368420i | 0.898839 | − | 0.438279i | \(-0.144412\pi\) |
−0.997557 | + | 0.0698588i | \(0.977745\pi\) | |||||||
\(744\) | 2.48401 | − | 4.30244i | 0.0910683 | − | 0.157735i | ||||
\(745\) | 1.36111 | + | 2.35751i | 0.0498672 | + | 0.0863725i | ||||
\(746\) | −10.6886 | + | 10.6886i | −0.391336 | + | 0.391336i | ||||
\(747\) | 3.96824 | − | 14.8097i | 0.145190 | − | 0.541858i | ||||
\(748\) | −1.05606 | − | 0.282970i | −0.0386133 | − | 0.0103464i | ||||
\(749\) | 9.86937 | + | 33.0791i | 0.360619 | + | 1.20868i | ||||
\(750\) | 8.69520 | + | 15.0605i | 0.317504 | + | 0.549933i | ||||
\(751\) | −35.7335 | − | 20.6307i | −1.30393 | − | 0.752827i | −0.322858 | − | 0.946448i | \(-0.604643\pi\) |
−0.981076 | + | 0.193621i | \(0.937977\pi\) | |||||||
\(752\) | −9.41938 | − | 35.1536i | −0.343489 | − | 1.28192i | ||||
\(753\) | 30.5470i | 1.11319i | ||||||||
\(754\) | −17.7625 | − | 0.580426i | −0.646874 | − | 0.0211379i | ||||
\(755\) | − | 32.0993i | − | 1.16821i | ||||||
\(756\) | 0.561826 | + | 0.133713i | 0.0204334 | + | 0.00486308i | ||||
\(757\) | 9.58077 | − | 16.5944i | 0.348219 | − | 0.603133i | −0.637714 | − | 0.770273i | \(-0.720120\pi\) |
0.985933 | + | 0.167140i | \(0.0534532\pi\) | |||||||
\(758\) | −5.18969 | + | 2.99627i | −0.188498 | + | 0.108829i | ||||
\(759\) | 4.57604 | + | 4.57604i | 0.166100 | + | 0.166100i | ||||
\(760\) | −5.84982 | − | 1.56745i | −0.212195 | − | 0.0568576i | ||||
\(761\) | 16.3307 | + | 4.37578i | 0.591986 | + | 0.158622i | 0.542361 | − | 0.840146i | \(-0.317531\pi\) |
0.0496251 | + | 0.998768i | \(0.484197\pi\) | |||||||
\(762\) | 4.46345 | − | 4.46345i | 0.161694 | − | 0.161694i | ||||
\(763\) | 1.47773 | + | 52.4821i | 0.0534974 | + | 1.89998i | ||||
\(764\) | −0.159969 | − | 0.0923584i | −0.00578749 | − | 0.00334141i | ||||
\(765\) | 4.20321 | − | 1.12625i | 0.151967 | − | 0.0407195i | ||||
\(766\) | 1.66818 | 0.0602739 | ||||||||
\(767\) | 3.61072 | + | 0.117987i | 0.130376 | + | 0.00426027i | ||||
\(768\) | 5.17862i | 0.186867i | ||||||||
\(769\) | −47.1631 | + | 12.6373i | −1.70074 | + | 0.455713i | −0.973127 | − | 0.230271i | \(-0.926039\pi\) |
−0.727617 | + | 0.685984i | \(0.759372\pi\) | |||||||
\(770\) | −5.46497 | − | 8.87872i | −0.196944 | − | 0.319967i | ||||
\(771\) | 11.3259 | − | 6.53903i | 0.407894 | − | 0.235498i | ||||
\(772\) | 0.244769 | − | 0.244769i | 0.00880943 | − | 0.00880943i | ||||
\(773\) | 2.27204 | − | 8.47936i | 0.0817195 | − | 0.304981i | −0.912953 | − | 0.408064i | \(-0.866204\pi\) |
0.994673 | + | 0.103083i | \(0.0328707\pi\) | |||||||
\(774\) | −1.46452 | + | 5.46568i | −0.0526412 | + | 0.196460i | ||||
\(775\) | 3.57611 | − | 3.57611i | 0.128458 | − | 0.128458i | ||||
\(776\) | −21.9188 | + | 12.6548i | −0.786840 | + | 0.454282i | ||||
\(777\) | 13.6011 | − | 8.37167i | 0.487938 | − | 0.300332i | ||||
\(778\) | 3.54740 | − | 0.950523i | 0.127180 | − | 0.0340779i | ||||
\(779\) | 4.83112i | 0.173093i | ||||||||
\(780\) | −1.01332 | − | 0.630040i | −0.0362827 | − | 0.0225590i | ||||
\(781\) | 20.6117 | 0.737543 | ||||||||
\(782\) | 15.3123 | − | 4.10293i | 0.547568 | − | 0.146721i | ||||
\(783\) | 2.86608 | + | 1.65473i | 0.102425 | + | 0.0591352i | ||||
\(784\) | 27.4286 | + | 13.8398i | 0.979593 | + | 0.494277i | ||||
\(785\) | 20.9051 | − | 20.9051i | 0.746136 | − | 0.746136i | ||||
\(786\) | −10.4656 | − | 2.80425i | −0.373295 | − | 0.100024i | ||||
\(787\) | 21.5745 | + | 5.78087i | 0.769047 | + | 0.206066i | 0.621951 | − | 0.783056i | \(-0.286340\pi\) |
0.147097 | + | 0.989122i | \(0.453007\pi\) | |||||||
\(788\) | 0.805178 | + | 0.805178i | 0.0286833 | + | 0.0286833i | ||||
\(789\) | 7.96308 | − | 4.59748i | 0.283493 | − | 0.163675i | ||||
\(790\) | −3.98580 | + | 6.90360i | −0.141808 | + | 0.245619i | ||||
\(791\) | −28.8433 | − | 6.86461i | −1.02555 | − | 0.244077i | ||||
\(792\) | 4.63094i | 0.164553i | ||||||||
\(793\) | −0.0926987 | + | 0.0868322i | −0.00329183 | + | 0.00308350i | ||||
\(794\) | − | 21.3602i | − | 0.758045i | ||||||
\(795\) | −0.538445 | − | 2.00950i | −0.0190967 | − | 0.0712697i | ||||
\(796\) | 0.256399 | + | 0.148032i | 0.00908781 | + | 0.00524685i | ||||
\(797\) | 14.1995 | + | 24.5943i | 0.502973 | + | 0.871175i | 0.999994 | + | 0.00343670i | \(0.00109394\pi\) |
−0.497021 | + | 0.867739i | \(0.665573\pi\) | |||||||
\(798\) | −5.68408 | + | 1.69588i | −0.201214 | + | 0.0600336i | ||||
\(799\) | −22.9889 | − | 6.15986i | −0.813290 | − | 0.217920i | ||||
\(800\) | −0.859607 | + | 3.20810i | −0.0303917 | + | 0.113423i | ||||
\(801\) | −5.52562 | + | 5.52562i | −0.195238 | + | 0.195238i | ||||
\(802\) | 7.39872 | + | 12.8150i | 0.261258 | + | 0.452512i | ||||
\(803\) | −13.9872 | + | 24.2265i | −0.493597 | + | 0.854935i | ||||
\(804\) | −0.275434 | − | 1.02793i | −0.00971381 | − | 0.0362524i | ||||
\(805\) | 13.0866 | + | 7.07209i | 0.461241 | + | 0.249259i | ||||
\(806\) | −2.91780 | + | 9.62076i | −0.102775 | + | 0.338877i | ||||
\(807\) | −11.6226 | −0.409134 | ||||||||
\(808\) | 34.5769 | − | 9.26484i | 1.21641 | − | 0.325936i | ||||
\(809\) | −16.2864 | + | 28.2088i | −0.572598 | + | 0.991770i | 0.423700 | + | 0.905803i | \(0.360731\pi\) |
−0.996298 | + | 0.0859669i | \(0.972602\pi\) | |||||||
\(810\) | 1.12904 | + | 1.95556i | 0.0396705 | + | 0.0687112i | ||||
\(811\) | −23.2549 | − | 23.2549i | −0.816589 | − | 0.816589i | 0.169023 | − | 0.985612i | \(-0.445939\pi\) |
−0.985612 | + | 0.169023i | \(0.945939\pi\) | |||||||
\(812\) | −1.38898 | − | 1.31290i | −0.0487435 | − | 0.0460738i | ||||
\(813\) | 5.43020 | − | 20.2658i | 0.190445 | − | 0.710752i | ||||
\(814\) | −11.0943 | − | 11.0943i | −0.388855 | − | 0.388855i | ||||
\(815\) | −19.8058 | + | 11.4349i | −0.693767 | + | 0.400547i | ||||
\(816\) | 10.9092 | + | 6.29844i | 0.381899 | + | 0.220490i | ||||
\(817\) | −1.48016 | − | 5.52403i | −0.0517842 | − | 0.193261i | ||||
\(818\) | 52.9666 | 1.85194 | ||||||||
\(819\) | 9.53929 | + | 0.0430791i | 0.333330 | + | 0.00150531i | ||||
\(820\) | −1.06213 | −0.0370911 | ||||||||
\(821\) | 4.01809 | + | 14.9957i | 0.140232 | + | 0.523354i | 0.999921 | + | 0.0125363i | \(0.00399052\pi\) |
−0.859689 | + | 0.510817i | \(0.829343\pi\) | |||||||
\(822\) | 26.8558 | + | 15.5052i | 0.936705 | + | 0.540807i | ||||
\(823\) | −7.93891 | + | 4.58353i | −0.276733 | + | 0.159772i | −0.631944 | − | 0.775014i | \(-0.717743\pi\) |
0.355210 | + | 0.934786i | \(0.384409\pi\) | |||||||
\(824\) | 16.7635 | + | 16.7635i | 0.583983 | + | 0.583983i | ||||
\(825\) | −1.22013 | + | 4.55360i | −0.0424796 | + | 0.158536i | ||||
\(826\) | 2.86935 | + | 2.71219i | 0.0998374 | + | 0.0943692i | ||||
\(827\) | 23.9115 | + | 23.9115i | 0.831483 | + | 0.831483i | 0.987720 | − | 0.156237i | \(-0.0499362\pi\) |
−0.156237 | + | 0.987720i | \(0.549936\pi\) | |||||||
\(828\) | 0.404735 | + | 0.701021i | 0.0140655 | + | 0.0243622i | ||||
\(829\) | −0.903774 | + | 1.56538i | −0.0313894 | + | 0.0543680i | −0.881293 | − | 0.472570i | \(-0.843327\pi\) |
0.849904 | + | 0.526938i | \(0.176660\pi\) | |||||||
\(830\) | −33.4415 | + | 8.96061i | −1.16077 | + | 0.311027i | ||||
\(831\) | 15.7897 | 0.547739 | ||||||||
\(832\) | 5.68895 | + | 24.3920i | 0.197229 | + | 0.845641i | ||||
\(833\) | 16.8066 | − | 11.0087i | 0.582314 | − | 0.381428i | ||||
\(834\) | −7.23271 | − | 26.9928i | −0.250448 | − | 0.934686i | ||||
\(835\) | −6.09861 | + | 10.5631i | −0.211051 | + | 0.365551i | ||||
\(836\) | 0.286700 | + | 0.496579i | 0.00991573 | + | 0.0171746i | ||||
\(837\) | 1.32380 | − | 1.32380i | 0.0457571 | − | 0.0457571i | ||||
\(838\) | −9.88871 | + | 36.9052i | −0.341600 | + | 1.27487i | ||||
\(839\) | 17.2364 | + | 4.61847i | 0.595066 | + | 0.159447i | 0.543767 | − | 0.839236i | \(-0.316997\pi\) |
0.0512985 | + | 0.998683i | \(0.483664\pi\) | |||||||
\(840\) | 3.04331 | + | 10.2002i | 0.105004 | + | 0.351942i | ||||
\(841\) | 9.02374 | + | 15.6296i | 0.311163 | + | 0.538951i | ||||
\(842\) | −17.6243 | − | 10.1754i | −0.607372 | − | 0.350666i | ||||
\(843\) | 2.25635 | + | 8.42081i | 0.0777128 | + | 0.290028i | ||||
\(844\) | 5.41949i | 0.186547i | ||||||||
\(845\) | −18.6642 | − | 6.33317i | −0.642069 | − | 0.217868i | ||||
\(846\) | − | 12.3503i | − | 0.424612i | ||||||
\(847\) | −4.87276 | + | 20.4741i | −0.167430 | + | 0.703497i | ||||
\(848\) | 3.01121 | − | 5.21556i | 0.103405 | − | 0.179103i | ||||
\(849\) | 4.61567 | − | 2.66486i | 0.158410 | − | 0.0914578i | ||||
\(850\) | 8.16561 | + | 8.16561i | 0.280078 | + | 0.280078i | ||||
\(851\) | 21.6229 | + | 5.79383i | 0.741222 | + | 0.198610i | ||||
\(852\) | 2.49030 | + | 0.667274i | 0.0853163 | + | 0.0228604i | ||||
\(853\) | −13.9934 | + | 13.9934i | −0.479126 | + | 0.479126i | −0.904852 | − | 0.425726i | \(-0.860019\pi\) |
0.425726 | + | 0.904852i | \(0.360019\pi\) | |||||||
\(854\) | −0.138762 | + | 0.00390709i | −0.00474833 | + | 0.000133698i | ||||
\(855\) | −1.97643 | − | 1.14109i | −0.0675926 | − | 0.0390246i | ||||
\(856\) | −33.4436 | + | 8.96118i | −1.14308 | + | 0.306287i | ||||
\(857\) | 39.0639 | 1.33440 | 0.667199 | − | 0.744879i | \(-0.267493\pi\) | ||||
0.667199 | + | 0.744879i | \(0.267493\pi\) | |||||||
\(858\) | −2.12855 | − | 9.12640i | −0.0726675 | − | 0.311570i | ||||
\(859\) | − | 28.2404i | − | 0.963549i | −0.876295 | − | 0.481775i | \(-0.839992\pi\) | ||
0.876295 | − | 0.481775i | \(-0.160008\pi\) | |||||||
\(860\) | 1.21446 | − | 0.325414i | 0.0414128 | − | 0.0110965i | ||||
\(861\) | 7.23132 | − | 4.45097i | 0.246443 | − | 0.151689i | ||||
\(862\) | 8.37267 | − | 4.83396i | 0.285174 | − | 0.164645i | ||||
\(863\) | −16.2731 | + | 16.2731i | −0.553941 | + | 0.553941i | −0.927576 | − | 0.373635i | \(-0.878111\pi\) |
0.373635 | + | 0.927576i | \(0.378111\pi\) | |||||||
\(864\) | −0.318208 | + | 1.18757i | −0.0108256 | + | 0.0404018i | ||||
\(865\) | −8.55627 | + | 31.9324i | −0.290922 | + | 1.08574i | ||||
\(866\) | 35.2351 | − | 35.2351i | 1.19734 | − | 1.19734i | ||||
\(867\) | −7.58828 | + | 4.38109i | −0.257711 | + | 0.148790i | ||||
\(868\) | −0.920752 | + | 0.566735i | −0.0312524 | + | 0.0192362i | ||||
\(869\) | −5.95074 | + | 1.59449i | −0.201865 | + | 0.0540895i | ||||
\(870\) | − | 7.47303i | − | 0.253359i | ||||||
\(871\) | −8.28727 | − | 15.5022i | −0.280803 | − | 0.525271i | ||||
\(872\) | −52.6601 | −1.78330 | ||||||||
\(873\) | −9.21262 | + | 2.46851i | −0.311800 | + | 0.0835465i | ||||
\(874\) | −7.20017 | − | 4.15702i | −0.243549 | − | 0.140613i | ||||
\(875\) | 0.869485 | + | 30.8801i | 0.0293939 | + | 1.04394i | ||||
\(876\) | −2.47423 | + | 2.47423i | −0.0835966 | + | 0.0835966i | ||||
\(877\) | 43.5370 | + | 11.6657i | 1.47014 | + | 0.393923i | 0.902980 | − | 0.429683i | \(-0.141375\pi\) |
0.567162 | + | 0.823607i | \(0.308041\pi\) | |||||||
\(878\) | −28.2544 | − | 7.57075i | −0.953540 | − | 0.255500i | ||||
\(879\) | −15.2812 | − | 15.2812i | −0.515422 | − | 0.515422i | ||||
\(880\) | 10.0564 | − | 5.80604i | 0.339000 | − | 0.195722i | ||||
\(881\) | −3.87806 | + | 6.71699i | −0.130655 | + | 0.226301i | −0.923929 | − | 0.382563i | \(-0.875041\pi\) |
0.793274 | + | 0.608865i | \(0.208375\pi\) | |||||||
\(882\) | 7.77524 | + | 6.94560i | 0.261806 | + | 0.233871i | ||||
\(883\) | − | 50.1556i | − | 1.68787i | −0.536446 | − | 0.843935i | \(-0.680234\pi\) | ||
0.536446 | − | 0.843935i | \(-0.319766\pi\) | |||||||
\(884\) | −2.16166 | − | 0.655591i | −0.0727044 | − | 0.0220499i | ||||
\(885\) | 1.51910i | 0.0510638i | ||||||||
\(886\) | 6.29663 | + | 23.4993i | 0.211539 | + | 0.789476i | ||||
\(887\) | 21.4271 | + | 12.3709i | 0.719450 | + | 0.415375i | 0.814550 | − | 0.580093i | \(-0.196984\pi\) |
−0.0951001 | + | 0.995468i | \(0.530317\pi\) | |||||||
\(888\) | 8.00945 | + | 13.8728i | 0.268780 | + | 0.465540i | ||||
\(889\) | 10.7451 | − | 3.20586i | 0.360378 | − | 0.107521i | ||||
\(890\) | 17.0443 | + | 4.56701i | 0.571327 | + | 0.153087i | ||||
\(891\) | −0.451666 | + | 1.68564i | −0.0151314 | + | 0.0564711i | ||||
\(892\) | 2.18043 | − | 2.18043i | 0.0730062 | − | 0.0730062i | ||||
\(893\) | 6.24107 | + | 10.8098i | 0.208849 | + | 0.361738i | ||||
\(894\) | −1.33712 | + | 2.31596i | −0.0447199 | + | 0.0774572i | ||||
\(895\) | −3.81368 | − | 14.2328i | −0.127477 | − | 0.475751i | ||||
\(896\) | −16.1072 | + | 29.8057i | −0.538105 | + | 0.995737i | ||||
\(897\) | 9.14072 | + | 9.75828i | 0.305200 | + | 0.325819i | ||||
\(898\) | −33.1466 | −1.10612 | ||||||||
\(899\) | −5.98463 | + | 1.60358i | −0.199599 | + | 0.0534823i | ||||
\(900\) | −0.294833 | + | 0.510666i | −0.00982777 | + | 0.0170222i | ||||
\(901\) | −1.96920 | − | 3.41075i | −0.0656035 | − | 0.113629i | ||||
\(902\) | −5.89852 | − | 5.89852i | −0.196399 | − | 0.196399i | ||||
\(903\) | −6.90479 | + | 7.30489i | −0.229777 | + | 0.243091i | ||||
\(904\) | 7.69668 | − | 28.7244i | 0.255988 | − | 0.955359i | ||||
\(905\) | −14.5840 | − | 14.5840i | −0.484788 | − | 0.484788i | ||||
\(906\) | 27.3088 | − | 15.7667i | 0.907274 | − | 0.523815i | ||||
\(907\) | −31.4697 | − | 18.1690i | −1.04493 | − | 0.603292i | −0.123706 | − | 0.992319i | \(-0.539478\pi\) |
−0.921226 | + | 0.389027i | \(0.872811\pi\) | |||||||
\(908\) | 1.25879 | + | 4.69786i | 0.0417743 | + | 0.155904i | ||||
\(909\) | 13.4895 | 0.447417 | ||||||||
\(910\) | −10.6860 | − | 18.7033i | −0.354238 | − | 0.620007i | ||||
\(911\) | 17.4606 | 0.578497 | 0.289248 | − | 0.957254i | \(-0.406595\pi\) | ||||
0.289248 | + | 0.957254i | \(0.406595\pi\) | |||||||
\(912\) | −1.70991 | − | 6.38147i | −0.0566208 | − | 0.211312i | ||||
\(913\) | −23.1715 | − | 13.3781i | −0.766864 | − | 0.442749i | ||||
\(914\) | 12.7994 | − | 7.38975i | 0.423367 | − | 0.244431i | ||||
\(915\) | −0.0377660 | − | 0.0377660i | −0.00124850 | − | 0.00124850i | ||||
\(916\) | −0.694610 | + | 2.59232i | −0.0229506 | + | 0.0856527i | ||||
\(917\) | −13.9873 | − | 13.2212i | −0.461900 | − | 0.436601i | ||||
\(918\) | 3.02273 | + | 3.02273i | 0.0997649 | + | 0.0997649i | ||||
\(919\) | 12.6196 | + | 21.8577i | 0.416281 | + | 0.721020i | 0.995562 | − | 0.0941078i | \(-0.0299998\pi\) |
−0.579281 | + | 0.815128i | \(0.696666\pi\) | |||||||
\(920\) | −7.45989 | + | 12.9209i | −0.245945 | + | 0.425990i | ||||
\(921\) | 4.76072 | − | 1.27563i | 0.156871 | − | 0.0420334i | ||||
\(922\) | −54.2769 | −1.78751 | ||||||||
\(923\) | 42.5629 | + | 1.39083i | 1.40098 | + | 0.0457796i | ||||
\(924\) | 0.479149 | − | 0.886643i | 0.0157629 | − | 0.0291684i | ||||
\(925\) | 4.22057 | + | 15.7514i | 0.138771 | + | 0.517902i | ||||
\(926\) | 5.87583 | − | 10.1772i | 0.193092 | − | 0.334444i | ||||
\(927\) | 4.46685 | + | 7.73681i | 0.146711 | + | 0.254110i | ||||
\(928\) | 2.87711 | − | 2.87711i | 0.0944457 | − | 0.0944457i | ||||
\(929\) | 0.568291 | − | 2.12089i | 0.0186450 | − | 0.0695842i | −0.955977 | − | 0.293443i | \(-0.905199\pi\) |
0.974622 | + | 0.223859i | \(0.0718655\pi\) | |||||||
\(930\) | −4.08338 | − | 1.09414i | −0.133899 | − | 0.0358782i | ||||
\(931\) | −10.3153 | − | 2.15016i | −0.338071 | − | 0.0704685i | ||||
\(932\) | 2.93005 | + | 5.07500i | 0.0959771 | + | 0.166237i | ||||
\(933\) | 14.3359 | + | 8.27682i | 0.469335 | + | 0.270971i | ||||
\(934\) | −8.96927 | − | 33.4738i | −0.293483 | − | 1.09529i | ||||
\(935\) | − | 7.59379i | − | 0.248344i | ||||||
\(936\) | −0.312485 | + | 9.56285i | −0.0102139 | + | 0.312572i | ||||
\(937\) | − | 30.3704i | − | 0.992157i | −0.868278 | − | 0.496079i | \(-0.834773\pi\) | ||
0.868278 | − | 0.496079i | \(-0.165227\pi\) | |||||||
\(938\) | 4.44804 | − | 18.6895i | 0.145234 | − | 0.610234i | ||||
\(939\) | 10.5100 | − | 18.2038i | 0.342980 | − | 0.594060i | ||||
\(940\) | −2.37655 | + | 1.37210i | −0.0775146 | + | 0.0447531i | ||||
\(941\) | −26.4335 | − | 26.4335i | −0.861707 | − | 0.861707i | 0.129829 | − | 0.991536i | \(-0.458557\pi\) |
−0.991536 | + | 0.129829i | \(0.958557\pi\) | |||||||
\(942\) | 28.0536 | + | 7.51694i | 0.914035 | + | 0.244915i | ||||
\(943\) | 11.4962 | + | 3.08041i | 0.374369 | + | 0.100312i | ||||
\(944\) | −3.10954 | + | 3.10954i | −0.101207 | + | 0.101207i | ||||
\(945\) | 0.112899 | + | 4.00967i | 0.00367262 | + | 0.130434i | ||||
\(946\) | 8.55170 | + | 4.93733i | 0.278040 | + | 0.160526i | ||||
\(947\) | 25.0722 | − | 6.71808i | 0.814738 | − | 0.218308i | 0.172693 | − | 0.984976i | \(-0.444753\pi\) |
0.642044 | + | 0.766667i | \(0.278086\pi\) | |||||||
\(948\) | −0.770588 | −0.0250275 | ||||||||
\(949\) | −30.5182 | + | 49.0837i | −0.990662 | + | 1.59333i | ||||
\(950\) | − | 6.05644i | − | 0.196497i | ||||||
\(951\) | −14.0870 | + | 3.77461i | −0.456804 | + | 0.122400i | ||||
\(952\) | 10.5628 | + | 17.1610i | 0.342343 | + | 0.556192i | ||||
\(953\) | 24.6170 | − | 14.2126i | 0.797422 | − | 0.460392i | −0.0451471 | − | 0.998980i | \(-0.514376\pi\) |
0.842569 | + | 0.538589i | \(0.181042\pi\) | |||||||
\(954\) | 1.44513 | − | 1.44513i | 0.0467878 | − | 0.0467878i | ||||
\(955\) | 0.332061 | − | 1.23927i | 0.0107452 | − | 0.0401018i | ||||
\(956\) | −0.513547 | + | 1.91658i | −0.0166093 | + | 0.0619867i | ||||
\(957\) | 4.08379 | − | 4.08379i | 0.132010 | − | 0.132010i | ||||
\(958\) | −48.0588 | + | 27.7468i | −1.55271 | + | 0.896458i | ||||
\(959\) | 28.8753 | + | 46.9126i | 0.932432 | + | 1.51489i | ||||
\(960\) | −10.1731 | + | 2.72587i | −0.328335 | + | 0.0879771i | ||||
\(961\) | − | 27.4951i | − | 0.886939i | ||||||
\(962\) | −22.1610 | − | 23.6583i | −0.714501 | − | 0.762774i | ||||
\(963\) | −13.0473 | −0.420444 | ||||||||
\(964\) | 4.69499 | − | 1.25802i | 0.151216 | − | 0.0405181i | ||||
\(965\) | 2.08217 | + | 1.20214i | 0.0670275 | + | 0.0386983i | ||||
\(966\) | 0.411294 | + | 14.6073i | 0.0132332 | + | 0.469981i | ||||
\(967\) | −18.9661 | + | 18.9661i | −0.609908 | + | 0.609908i | −0.942922 | − | 0.333014i | \(-0.891935\pi\) |
0.333014 | + | 0.942922i | \(0.391935\pi\) | |||||||
\(968\) | −20.3897 | − | 5.46340i | −0.655349 | − | 0.175600i | ||||
\(969\) | −4.17320 | − | 1.11821i | −0.134063 | − | 0.0359220i | ||||
\(970\) | 15.2287 | + | 15.2287i | 0.488965 | + | 0.488965i | ||||
\(971\) | −23.2259 | + | 13.4095i | −0.745355 | + | 0.430331i | −0.824013 | − | 0.566571i | \(-0.808270\pi\) |
0.0786584 | + | 0.996902i | \(0.474936\pi\) | |||||||
\(972\) | −0.109141 | + | 0.189037i | −0.00350069 | + | 0.00606337i | ||||
\(973\) | 11.4935 | − | 48.2927i | 0.368465 | − | 1.54819i | ||||
\(974\) | − | 61.8168i | − | 1.98074i | ||||||
\(975\) | −2.82683 | + | 9.32081i | −0.0905310 | + | 0.298505i | ||||
\(976\) | − | 0.154611i | − | 0.00494899i | ||||||
\(977\) | −8.48807 | − | 31.6779i | −0.271557 | − | 1.01347i | −0.958113 | − | 0.286389i | \(-0.907545\pi\) |
0.686556 | − | 0.727077i | \(-0.259122\pi\) | |||||||
\(978\) | −19.4567 | − | 11.2333i | −0.622157 | − | 0.359203i | ||||
\(979\) | 6.81848 | + | 11.8099i | 0.217919 | + | 0.377448i | ||||
\(980\) | 0.472714 | − | 2.26783i | 0.0151003 | − | 0.0724432i | ||||
\(981\) | −19.1681 | − | 5.13607i | −0.611989 | − | 0.163982i | ||||
\(982\) | −3.21392 | + | 11.9945i | −0.102560 | + | 0.382760i | ||||
\(983\) | 21.2566 | − | 21.2566i | 0.677982 | − | 0.677982i | −0.281561 | − | 0.959543i | \(-0.590852\pi\) |
0.959543 | + | 0.281561i | \(0.0908523\pi\) | |||||||
\(984\) | 4.25839 | + | 7.37575i | 0.135753 | + | 0.235130i | ||||
\(985\) | −3.95450 | + | 6.84939i | −0.126001 | + | 0.218240i | ||||
\(986\) | −3.66157 | − | 13.6652i | −0.116608 | − | 0.435188i | ||||
\(987\) | 10.4304 | − | 19.3010i | 0.332004 | − | 0.614357i | ||||
\(988\) | 0.558526 | + | 1.04478i | 0.0177691 | + | 0.0332388i | ||||
\(989\) | −14.0889 | −0.448000 | ||||||||
\(990\) | 3.80632 | − | 1.01990i | 0.120973 | − | 0.0324145i | ||||
\(991\) | 17.6556 | − | 30.5804i | 0.560849 | − | 0.971420i | −0.436573 | − | 0.899669i | \(-0.643808\pi\) |
0.997423 | − | 0.0717510i | \(-0.0228587\pi\) | |||||||
\(992\) | −1.15086 | − | 1.99334i | −0.0365397 | − | 0.0632886i | ||||
\(993\) | −16.6433 | − | 16.6433i | −0.528161 | − | 0.528161i | ||||
\(994\) | 33.8237 | + | 31.9711i | 1.07282 | + | 1.01406i | ||||
\(995\) | −0.532226 | + | 1.98630i | −0.0168727 | + | 0.0629698i | ||||
\(996\) | −2.36648 | − | 2.36648i | −0.0749849 | − | 0.0749849i | ||||
\(997\) | 4.50099 | − | 2.59865i | 0.142548 | − | 0.0822999i | −0.427030 | − | 0.904237i | \(-0.640440\pi\) |
0.569578 | + | 0.821938i | \(0.307107\pi\) | |||||||
\(998\) | −12.0724 | − | 6.96998i | −0.382144 | − | 0.220631i | ||||
\(999\) | 1.56236 | + | 5.83082i | 0.0494310 | + | 0.184479i |
(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 | 273.2.by.d.97.7 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.e.370.2 | 32 | |||
7.6 | odd | 2 | 273.2.by.c.97.7 | yes | 32 | ||
13.11 | odd | 12 | 273.2.by.c.76.7 | ✓ | 32 | ||
21.20 | even | 2 | 819.2.fm.f.370.2 | 32 | |||
39.11 | even | 12 | 819.2.fm.f.622.2 | 32 | |||
91.76 | even | 12 | inner | 273.2.by.d.76.7 | yes | 32 | |
273.167 | odd | 12 | 819.2.fm.e.622.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.76.7 | ✓ | 32 | 13.11 | odd | 12 | ||
273.2.by.c.97.7 | yes | 32 | 7.6 | odd | 2 | ||
273.2.by.d.76.7 | yes | 32 | 91.76 | even | 12 | inner | |
273.2.by.d.97.7 | yes | 32 | 1.1 | even | 1 | trivial | |
819.2.fm.e.370.2 | 32 | 3.2 | odd | 2 | |||
819.2.fm.e.622.2 | 32 | 273.167 | odd | 12 | |||
819.2.fm.f.370.2 | 32 | 21.20 | even | 2 | |||
819.2.fm.f.622.2 | 32 | 39.11 | even | 12 |