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 | 76.7 | ||
Character | \(\chi\) | \(=\) | 273.76 |
Dual form | 273.2.by.c.97.7 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{12}\right)\) | \(-1\) |
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 | −0.684870 | − | 0.728665i | \(-0.740141\pi\) |
0.957448 | − | 0.288607i | \(-0.0931921\pi\) | |||||||
\(3\) | 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 | \(-0.639907\pi\) |
0.904952 | + | 0.425515i | \(0.139907\pi\) | |||||||
\(6\) | −0.385482 | − | 1.43864i | −0.157373 | − | 0.587322i | ||||
\(7\) | −0.612570 | + | 2.57386i | −0.231530 | + | 0.972828i | ||||
\(8\) | 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 | 0.503822 | − | 0.863808i | \(-0.331927\pi\) |
0.00441837 | + | 0.999990i | \(0.498594\pi\) | |||||||
\(12\) | −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 | \(-0.946492\pi\) |
0.637847 | + | 0.770164i | \(0.279825\pi\) | |||||||
\(18\) | −1.05316 | − | 1.05316i | −0.248232 | − | 0.248232i | ||||
\(19\) | −0.389597 | − | 1.45400i | −0.0893798 | − | 0.333570i | 0.906728 | − | 0.421717i | \(-0.138572\pi\) |
−0.996108 | + | 0.0881466i | \(0.971906\pi\) | |||||||
\(20\) | −0.319663 | + | 0.0856533i | −0.0714787 | + | 0.0191527i | ||||
\(21\) | 0.756429 | + | 2.53531i | 0.165066 | + | 0.553251i | ||||
\(22\) | 1.29957 | − | 2.25092i | 0.277069 | − | 0.479898i | ||||
\(23\) | −3.21155 | + | 1.85419i | −0.669654 | + | 0.386625i | −0.795946 | − | 0.605368i | \(-0.793026\pi\) |
0.126292 | + | 0.991993i | \(0.459693\pi\) | |||||||
\(24\) | 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 | ||||||
\(28\) | 0.396712 | − | 0.419699i | 0.0749714 | − | 0.0793157i | ||||
\(29\) | −1.65473 | − | 2.86608i | −0.307276 | − | 0.532217i | 0.670490 | − | 0.741919i | \(-0.266084\pi\) |
−0.977765 | + | 0.209702i | \(0.932751\pi\) | |||||||
\(30\) | −1.95556 | − | 1.12904i | −0.357034 | − | 0.206134i | ||||
\(31\) | −1.32380 | + | 1.32380i | −0.237761 | + | 0.237761i | −0.815922 | − | 0.578161i | \(-0.803770\pi\) |
0.578161 | + | 0.815922i | \(0.303770\pi\) | |||||||
\(32\) | −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 | ||||
\(35\) | 2.10261 | + | 3.41602i | 0.355406 | + | 0.577413i | ||||
\(36\) | −0.189037 | + | 0.109141i | −0.0315062 | + | 0.0181901i | ||||
\(37\) | −5.83082 | − | 1.56236i | −0.958580 | − | 0.256851i | −0.254581 | − | 0.967051i | \(-0.581938\pi\) |
−0.703999 | + | 0.710201i | \(0.748604\pi\) | |||||||
\(38\) | −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 | \(-0.336034\pi\) |
−0.00848433 | + | 0.999964i | \(0.502701\pi\) | |||||||
\(42\) | 3.93899 | − | 0.110910i | 0.607800 | − | 0.0171137i | ||||
\(43\) | 3.29020 | + | 1.89960i | 0.501751 | + | 0.289686i | 0.729436 | − | 0.684049i | \(-0.239782\pi\) |
−0.227685 | + | 0.973735i | \(0.573116\pi\) | |||||||
\(44\) | −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 | \(-0.0432652\pi\) |
−0.135504 | + | 0.990777i | \(0.543265\pi\) | |||||||
\(48\) | −3.80091 | − | 2.19446i | −0.548614 | − | 0.316743i | ||||
\(49\) | −6.24951 | − | 3.15334i | −0.892788 | − | 0.450477i | ||||
\(50\) | 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 | ||||
\(56\) | 3.68022 | + | 5.97912i | 0.491791 | + | 0.798993i | ||||
\(57\) | −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 | \(-0.604109\pi\) |
0.195268 | + | 0.980750i | \(0.437442\pi\) | |||||||
\(60\) | −0.234009 | + | 0.234009i | −0.0302105 | + | 0.0302105i | ||||
\(61\) | 0.0305081 | + | 0.0176138i | 0.00390616 | + | 0.00225522i | 0.501952 | − | 0.864896i | \(-0.332615\pi\) |
−0.498046 | + | 0.867151i | \(0.665949\pi\) | |||||||
\(62\) | 1.39417 | + | 2.41477i | 0.177059 | + | 0.306676i | ||||
\(63\) | 1.92274 | + | 1.81743i | 0.242243 | + | 0.228975i | ||||
\(64\) | − | 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 | 0.845019 | + | 0.534736i | \(0.179589\pi\) |
−0.999176 | + | 0.0405858i | \(0.987078\pi\) | |||||||
\(68\) | 0.542567 | − | 0.313251i | 0.0657959 | − | 0.0379873i | ||||
\(69\) | −1.85419 | + | 3.21155i | −0.223218 | + | 0.386625i | ||||
\(70\) | 5.72495 | − | 1.70808i | 0.684262 | − | 0.204154i | ||||
\(71\) | 11.4087 | − | 3.05695i | 1.35396 | − | 0.362793i | 0.492366 | − | 0.870388i | \(-0.336132\pi\) |
0.861595 | + | 0.507596i | \(0.169466\pi\) | |||||||
\(72\) | −0.686821 | − | 2.56325i | −0.0809427 | − | 0.302082i | ||||
\(73\) | 11.3351 | + | 11.3351i | 1.32667 | + | 1.32667i | 0.908258 | + | 0.418410i | \(0.137413\pi\) |
0.418410 | + | 0.908258i | \(0.362587\pi\) | |||||||
\(74\) | −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 | 0.212936 | − | 0.977066i | \(-0.431698\pi\) |
0.977066 | − | 0.212936i | \(-0.0683025\pi\) | |||||||
\(84\) | 0.133713 | − | 0.561826i | 0.0145893 | − | 0.0613002i | ||||
\(85\) | 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 | 0.771995 | + | 0.635628i | \(0.219259\pi\) |
−0.986382 | + | 0.164473i | \(0.947408\pi\) | |||||||
\(90\) | −2.25808 | −0.238023 | ||||||||
\(91\) | 4.25878 | − | 8.53597i | 0.446441 | − | 0.894813i | ||||
\(92\) | 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 | 0.970465 | + | 0.241244i | \(0.0775554\pi\) |
−0.719825 | + | 0.694156i | \(0.755778\pi\) | |||||||
\(98\) | −6.94560 | + | 7.77524i | −0.701612 | + | 0.785418i | ||||
\(99\) | 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 | −0.977585 | − | 0.210540i | \(-0.932478\pi\) |
0.306460 | − | 0.951883i | \(-0.400855\pi\) | |||||||
\(102\) | 4.12913 | + | 1.10640i | 0.408844 | + | 0.109550i | ||||
\(103\) | −8.93370 | −0.880264 | −0.440132 | − | 0.897933i | \(-0.645068\pi\) | ||||
−0.440132 | + | 0.897933i | \(0.645068\pi\) | |||||||
\(104\) | −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 | −0.987416 | − | 0.158146i | \(-0.949448\pi\) |
0.356750 | − | 0.934200i | \(-0.383885\pi\) | |||||||
\(108\) | −0.109141 | + | 0.189037i | −0.0105021 | + | 0.0181901i | ||||
\(109\) | −14.0320 | − | 14.0320i | −1.34402 | − | 1.34402i | −0.892015 | − | 0.452007i | \(-0.850708\pi\) |
−0.452007 | − | 0.892015i | \(-0.649292\pi\) | |||||||
\(110\) | −1.01990 | − | 3.80632i | −0.0972436 | − | 0.362918i | ||||
\(111\) | −5.83082 | + | 1.56236i | −0.553436 | + | 0.148293i | ||||
\(112\) | 11.1273 | − | 3.31990i | 1.05143 | − | 0.313701i | ||||
\(113\) | −5.60312 | + | 9.70489i | −0.527097 | + | 0.912959i | 0.472404 | + | 0.881382i | \(0.343386\pi\) |
−0.999501 | + | 0.0315769i | \(0.989947\pi\) | |||||||
\(114\) | −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 | ||||||||
\(119\) | −5.51858 | − | 5.21632i | −0.505887 | − | 0.478179i | ||||
\(120\) | −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 | ||||
\(126\) | 3.35581 | − | 2.06555i | 0.298960 | − | 0.184014i | ||||
\(127\) | 3.67035 | − | 2.11908i | 0.325691 | − | 0.188038i | −0.328235 | − | 0.944596i | \(-0.606454\pi\) |
0.653926 | + | 0.756558i | \(0.273121\pi\) | |||||||
\(128\) | −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 | ||||
\(133\) | 3.98104 | − | 0.112094i | 0.345200 | − | 0.00971974i | ||||
\(134\) | 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 | −0.671706 | − | 0.740818i | \(-0.734438\pi\) |
0.211306 | − | 0.977420i | \(-0.432228\pi\) | |||||||
\(138\) | 3.90550 | + | 3.90550i | 0.332459 | + | 0.332459i | ||||
\(139\) | −16.2490 | − | 9.38137i | −1.37822 | − | 0.795718i | −0.386278 | − | 0.922382i | \(-0.626239\pi\) |
−0.991946 | + | 0.126665i | \(0.959573\pi\) | |||||||
\(140\) | −0.0246439 | − | 0.875236i | −0.00208279 | − | 0.0739709i | ||||
\(141\) | 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 | ||||
\(147\) | −6.98891 | + | 0.393883i | −0.576436 | + | 0.0324869i | ||||
\(148\) | 0.931724 | + | 0.931724i | 0.0765872 | + | 0.0765872i | ||||
\(149\) | −1.73434 | + | 0.464716i | −0.142083 | + | 0.0380710i | −0.329160 | − | 0.944274i | \(-0.606765\pi\) |
0.187077 | + | 0.982345i | \(0.440099\pi\) | |||||||
\(150\) | 3.88635 | − | 1.04134i | 0.317319 | − | 0.0850253i | ||||
\(151\) | 14.9709 | − | 14.9709i | 1.21832 | − | 1.21832i | 0.250095 | − | 0.968221i | \(-0.419538\pi\) |
0.968221 | − | 0.250095i | \(-0.0804619\pi\) | |||||||
\(152\) | −3.45938 | − | 1.99727i | −0.280593 | − | 0.162000i | ||||
\(153\) | 1.43508 | + | 2.48563i | 0.116019 | + | 0.200951i | ||||
\(154\) | 4.99748 | + | 4.72376i | 0.402708 | + | 0.380651i | ||||
\(155\) | 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 | ||||
\(161\) | −2.80512 | − | 9.40190i | −0.221075 | − | 0.740973i | ||||
\(162\) | −1.43864 | + | 0.385482i | −0.113030 | + | 0.0302864i | ||||
\(163\) | 3.90415 | + | 14.5705i | 0.305797 | + | 1.14125i | 0.932257 | + | 0.361796i | \(0.117836\pi\) |
−0.626460 | + | 0.779453i | \(0.715497\pi\) | |||||||
\(164\) | −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 | −0.837376 | − | 0.546627i | \(-0.815911\pi\) |
0.998503 | − | 0.0547052i | \(-0.0174219\pi\) | |||||||
\(168\) | 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 | −0.0699960 | − | 0.997547i | \(-0.522299\pi\) |
0.898899 | − | 0.438155i | \(-0.144368\pi\) | |||||||
\(174\) | −3.48538 | + | 3.48538i | −0.264226 | + | 0.264226i | ||||
\(175\) | −6.95303 | − | 1.65480i | −0.525600 | − | 0.125091i | ||||
\(176\) | −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 | −0.151303 | − | 0.988487i | \(-0.548347\pi\) |
0.780404 | + | 0.625276i | \(0.215014\pi\) | |||||||
\(180\) | −0.0856533 | + | 0.319663i | −0.00638422 | + | 0.0238262i | ||||
\(181\) | −13.6038 | −1.01116 | −0.505580 | − | 0.862779i | \(-0.668722\pi\) | ||||
−0.505580 | + | 0.862779i | \(0.668722\pi\) | |||||||
\(182\) | −10.6385 | − | 9.41731i | −0.788579 | − | 0.698058i | ||||
\(183\) | 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 | ||||
\(189\) | 2.57386 | + | 0.612570i | 0.187221 | + | 0.0445579i | ||||
\(190\) | −2.40350 | + | 2.40350i | −0.174368 | + | 0.174368i | ||||
\(191\) | 0.423116 | − | 0.732859i | 0.0306156 | − | 0.0530278i | −0.850312 | − | 0.526280i | \(-0.823587\pi\) |
0.880927 | + | 0.473252i | \(0.156920\pi\) | |||||||
\(192\) | −3.47334 | − | 6.01601i | −0.250667 | − | 0.434168i | ||||
\(193\) | −1.53179 | − | 0.410441i | −0.110260 | − | 0.0295442i | 0.203267 | − | 0.979123i | \(-0.434844\pi\) |
−0.313527 | + | 0.949579i | \(0.601511\pi\) | |||||||
\(194\) | 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 | −0.997198 | − | 0.0748081i | \(-0.976166\pi\) |
0.901003 | + | 0.433813i | \(0.142832\pi\) | |||||||
\(198\) | −1.29957 | − | 2.25092i | −0.0923564 | − | 0.159966i | ||||
\(199\) | 0.678170 | − | 1.17462i | 0.0480742 | − | 0.0832670i | −0.840987 | − | 0.541055i | \(-0.818025\pi\) |
0.889061 | + | 0.457788i | \(0.151358\pi\) | |||||||
\(200\) | 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 | ||||
\(203\) | 8.39052 | − | 2.50337i | 0.588899 | − | 0.175702i | ||||
\(204\) | 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 | ||||||
\(210\) | 4.10391 | − | 4.34171i | 0.283197 | − | 0.299607i | ||||
\(211\) | 12.4140 | + | 21.5017i | 0.854616 | + | 1.48024i | 0.877001 | + | 0.480488i | \(0.159541\pi\) |
−0.0223853 | + | 0.999749i | \(0.507126\pi\) | |||||||
\(212\) | 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 | ||||
\(217\) | −2.59635 | − | 4.21819i | −0.176252 | − | 0.286349i | ||||
\(218\) | −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 | \(-0.259839\pi\) |
0.228844 | + | 0.973463i | \(0.426506\pi\) | |||||||
\(224\) | −0.0915535 | − | 3.25156i | −0.00611717 | − | 0.217254i | ||||
\(225\) | 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 | −0.841673 | − | 0.539988i | \(-0.818429\pi\) |
0.458916 | − | 0.888480i | \(-0.348238\pi\) | |||||||
\(228\) | 0.0850419 | + | 0.317381i | 0.00563204 | + | 0.0210190i | ||||
\(229\) | −8.69387 | − | 8.69387i | −0.574507 | − | 0.574507i | 0.358877 | − | 0.933385i | \(-0.383160\pi\) |
−0.933385 | + | 0.358877i | \(0.883160\pi\) | |||||||
\(230\) | 7.25194 | + | 4.18691i | 0.478179 | + | 0.276077i | ||||
\(231\) | 0.129952 | + | 4.61528i | 0.00855019 | + | 0.303663i | ||||
\(232\) | −8.48298 | − | 2.27301i | −0.556935 | − | 0.149230i | ||||
\(233\) | 26.8466i | 1.75878i | 0.476104 | + | 0.879389i | \(0.342048\pi\) | ||||
−0.476104 | + | 0.879389i | \(0.657952\pi\) | |||||||
\(234\) | 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 | ||||
\(238\) | −9.63172 | + | 5.92845i | −0.624332 | + | 0.384284i | ||||
\(239\) | 6.42765 | + | 6.42765i | 0.415770 | + | 0.415770i | 0.883743 | − | 0.467973i | \(-0.155016\pi\) |
−0.467973 | + | 0.883743i | \(0.655016\pi\) | |||||||
\(240\) | −6.42736 | + | 1.72221i | −0.414884 | + | 0.111168i | ||||
\(241\) | 21.5089 | − | 5.76329i | 1.38551 | − | 0.371246i | 0.512391 | − | 0.858752i | \(-0.328760\pi\) |
0.873120 | + | 0.487506i | \(0.162093\pi\) | |||||||
\(242\) | −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 | ||||
\(245\) | −10.0804 | + | 3.31926i | −0.644011 | + | 0.212060i | ||||
\(246\) | − | 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 | 0.251921 | − | 0.967748i | \(-0.418938\pi\) |
0.712134 | − | 0.702044i | \(-0.247729\pi\) | |||||||
\(252\) | −0.165114 | − | 0.553412i | −0.0104012 | − | 0.0348617i | ||||
\(253\) | −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 | \(-0.0329300\pi\) |
−0.586760 | + | 0.809761i | \(0.699597\pi\) | |||||||
\(258\) | 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 | 0.688750 | − | 0.724999i | \(-0.258160\pi\) |
−0.972243 | + | 0.233975i | \(0.924827\pi\) | |||||||
\(264\) | 2.31547 | − | 4.01051i | 0.142507 | − | 0.246830i | ||||
\(265\) | −1.47106 | + | 1.47106i | −0.0903664 | + | 0.0903664i | ||||
\(266\) | 1.37336 | − | 5.77050i | 0.0842061 | − | 0.353812i | ||||
\(267\) | 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 | \(-0.448621\pi\) |
−0.774412 | + | 0.632681i | \(0.781954\pi\) | |||||||
\(270\) | −1.95556 | + | 1.12904i | −0.119011 | + | 0.0687112i | ||||
\(271\) | −5.43020 | + | 20.2658i | −0.329861 | + | 1.23106i | 0.579473 | + | 0.814991i | \(0.303258\pi\) |
−0.909334 | + | 0.416067i | \(0.863408\pi\) | |||||||
\(272\) | 12.5969 | 0.763798 | ||||||||
\(273\) | −0.579778 | − | 9.52176i | −0.0350897 | − | 0.576283i | ||||
\(274\) | −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 | 0.0293625 | − | 0.999569i | \(-0.490652\pi\) |
−0.850971 | + | 0.525213i | \(0.823986\pi\) | |||||||
\(278\) | −19.7601 | + | 19.7601i | −1.18513 | + | 1.18513i | ||||
\(279\) | 0.484543 | + | 1.80834i | 0.0290089 | + | 0.108263i | ||||
\(280\) | 10.3553 | + | 2.46453i | 0.618849 | + | 0.147284i | ||||
\(281\) | −6.16446 | + | 6.16446i | −0.367741 | + | 0.367741i | −0.866653 | − | 0.498912i | \(-0.833733\pi\) |
0.498912 | + | 0.866653i | \(0.333733\pi\) | |||||||
\(282\) | 6.17514 | − | 10.6957i | 0.367725 | − | 0.636918i | ||||
\(283\) | 2.66486 | + | 4.61567i | 0.158410 | + | 0.274373i | 0.934295 | − | 0.356500i | \(-0.116030\pi\) |
−0.775886 | + | 0.630873i | \(0.782697\pi\) | |||||||
\(284\) | −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 | \(-0.800795\pi\) |
−0.409018 | + | 0.912526i | \(0.634129\pi\) | |||||||
\(294\) | −2.12745 | + | 10.2064i | −0.124075 | + | 0.595247i | ||||
\(295\) | −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 | ||||||
\(301\) | −6.90479 | + | 7.30489i | −0.397985 | + | 0.421047i | ||||
\(302\) | −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 | \(-0.205082\pi\) |
−0.600626 | + | 0.799530i | \(0.705082\pi\) | |||||||
\(308\) | 0.858277 | − | 0.528281i | 0.0489049 | − | 0.0301016i | ||||
\(309\) | −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 | \(-0.344494\pi\) | ||||
0.469335 | + | 0.883020i | \(0.344494\pi\) | |||||||
\(312\) | −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 | ||||
\(315\) | 4.00967 | − | 0.112899i | 0.225919 | − | 0.00636117i | ||||
\(316\) | 0.667349 | + | 0.385294i | 0.0375413 | + | 0.0216745i | ||||
\(317\) | 10.3124 | + | 10.3124i | 0.579204 | + | 0.579204i | 0.934684 | − | 0.355480i | \(-0.115683\pi\) |
−0.355480 | + | 0.934684i | \(0.615683\pi\) | |||||||
\(318\) | 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 | ||||
\(322\) | −14.6073 | + | 0.411294i | −0.814031 | + | 0.0229205i | ||||
\(323\) | 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 | ||||
\(329\) | −18.6835 | + | 11.4999i | −1.03005 | + | 0.634012i | ||||
\(330\) | −2.78642 | − | 2.78642i | −0.153387 | − | 0.153387i | ||||
\(331\) | 22.7352 | − | 6.09189i | 1.24964 | − | 0.334840i | 0.427444 | − | 0.904042i | \(-0.359414\pi\) |
0.822198 | + | 0.569202i | \(0.192748\pi\) | |||||||
\(332\) | −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 | ||||
\(336\) | 7.97656 | − | 8.43876i | 0.435157 | − | 0.460372i | ||||
\(337\) | − | 14.6004i | − | 0.795337i | −0.917529 | − | 0.397668i | \(-0.869819\pi\) | ||
0.917529 | − | 0.397668i | \(-0.130181\pi\) | |||||||
\(338\) | 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 | ||||
\(343\) | 11.9445 | − | 14.1537i | 0.644944 | − | 0.764230i | ||||
\(344\) | 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 | −0.998719 | − | 0.0506002i | \(-0.983887\pi\) |
0.543181 | + | 0.839616i | \(0.317220\pi\) | |||||||
\(348\) | 0.361197 | + | 0.625611i | 0.0193622 | + | 0.0335363i | ||||
\(349\) | 0.728645 | − | 2.71934i | 0.0390035 | − | 0.145563i | −0.943678 | − | 0.330865i | \(-0.892660\pi\) |
0.982682 | + | 0.185302i | \(0.0593263\pi\) | |||||||
\(350\) | −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 | \(-0.736173\pi\) |
−0.953775 | + | 0.300521i | \(0.902839\pi\) | |||||||
\(354\) | 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 | ||||
\(357\) | −7.38739 | − | 1.75817i | −0.390982 | − | 0.0930525i | ||||
\(358\) | −3.74646 | − | 13.9820i | −0.198006 | − | 0.738970i | ||||
\(359\) | 12.8172 | − | 12.8172i | 0.676466 | − | 0.676466i | −0.282733 | − | 0.959199i | \(-0.591241\pi\) |
0.959199 | + | 0.282733i | \(0.0912410\pi\) | |||||||
\(360\) | −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 | ||||||||
\(364\) | −1.73669 | + | 1.14881i | −0.0910272 | + | 0.0602140i | ||||
\(365\) | 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 | \(-0.632888\pi\) |
0.588916 | + | 0.808194i | \(0.299555\pi\) | |||||||
\(368\) | 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 | ||||
\(371\) | 0.840561 | − | 3.53182i | 0.0436398 | − | 0.183363i | ||||
\(372\) | 0.288960 | − | 0.288960i | 0.0149819 | − | 0.0149819i | ||||
\(373\) | 5.07453 | − | 8.78935i | 0.262749 | − | 0.455095i | −0.704222 | − | 0.709980i | \(-0.748704\pi\) |
0.966972 | + | 0.254884i | \(0.0820374\pi\) | |||||||
\(374\) | 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 | −0.934009 | − | 0.357249i | \(-0.883715\pi\) |
0.987500 | + | 0.157618i | \(0.0503815\pi\) | |||||||
\(380\) | 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 | \(-0.0924433\pi\) |
−0.972937 | + | 0.231072i | \(0.925777\pi\) | |||||||
\(384\) | −12.3689 | + | 3.31424i | −0.631199 | + | 0.169129i | ||||
\(385\) | 2.00134 | + | 6.70787i | 0.101998 | + | 0.341865i | ||||
\(386\) | −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 | \(0.0199107\pi\) | ||||
−0.998044 | + | 0.0625106i | \(0.980089\pi\) | |||||||
\(390\) | 5.94195 | + | 5.56591i | 0.300882 | + | 0.281841i | ||||
\(391\) | − | 10.6436i | − | 0.538271i | ||||||
\(392\) | −17.6438 | + | 5.80975i | −0.891147 | + | 0.293437i | ||||
\(393\) | −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 | \(-0.466147\pi\) |
0.589105 | + | 0.808056i | \(0.299480\pi\) | |||||||
\(398\) | −1.42844 | − | 1.42844i | −0.0716012 | − | 0.0716012i | ||||
\(399\) | 3.39164 | − | 2.08760i | 0.169794 | − | 0.104511i | ||||
\(400\) | 10.2678 | − | 5.92812i | 0.513390 | − | 0.296406i | ||||
\(401\) | 9.59670 | + | 2.57143i | 0.479236 | + | 0.128411i | 0.490347 | − | 0.871527i | \(-0.336870\pi\) |
−0.0111107 | + | 0.999938i | \(0.503537\pi\) | |||||||
\(402\) | 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 | ||||
\(406\) | −0.367051 | − | 13.0359i | −0.0182164 | − | 0.646963i | ||||
\(407\) | −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 | −0.687726 | − | 0.725970i | \(-0.741391\pi\) |
0.232603 | − | 0.972572i | \(-0.425276\pi\) | |||||||
\(410\) | −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 | ||||
\(413\) | −0.0746130 | − | 2.64991i | −0.00367146 | − | 0.130393i | ||||
\(414\) | 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 | \(-0.882225\pi\) |
−0.152995 | + | 0.988227i | \(0.548892\pi\) | |||||||
\(420\) | −0.458960 | − | 0.745654i | −0.0223950 | − | 0.0363842i | ||||
\(421\) | −9.66177 | − | 9.66177i | −0.470886 | − | 0.470886i | 0.431315 | − | 0.902201i | \(-0.358050\pi\) |
−0.902201 | + | 0.431315i | \(0.858050\pi\) | |||||||
\(422\) | 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 | ||||
\(427\) | −0.0640239 | + | 0.0677338i | −0.00309834 | + | 0.00327787i | ||||
\(428\) | 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 | −0.994511 | − | 0.104629i | \(-0.966635\pi\) |
0.913586 | + | 0.406645i | \(0.133301\pi\) | |||||||
\(432\) | −3.80091 | + | 2.19446i | −0.182871 | + | 0.105581i | ||||
\(433\) | 16.7283 | − | 28.9743i | 0.803912 | − | 1.39242i | −0.113111 | − | 0.993582i | \(-0.536082\pi\) |
0.917023 | − | 0.398834i | \(-0.130585\pi\) | |||||||
\(434\) | −7.06930 | + | 2.10918i | −0.339337 | + | 0.101244i | ||||
\(435\) | −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 | \(-0.0113981\pi\) |
−0.530684 | + | 0.847570i | \(0.678065\pi\) | |||||||
\(440\) | 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 | ||||
\(448\) | 17.8798 | + | 4.25534i | 0.844741 | + | 0.201046i | ||||
\(449\) | −5.76005 | − | 21.4968i | −0.271834 | − | 1.01450i | −0.957934 | − | 0.286990i | \(-0.907345\pi\) |
0.686100 | − | 0.727507i | \(-0.259321\pi\) | |||||||
\(450\) | 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 | ||||||||
\(455\) | −4.58538 | − | 13.7167i | −0.214966 | − | 0.643047i | ||||
\(456\) | −3.99455 | −0.187062 | ||||||||
\(457\) | −2.56831 | + | 9.58507i | −0.120141 | + | 0.448371i | −0.999620 | − | 0.0275663i | \(-0.991224\pi\) |
0.879479 | + | 0.475937i | \(0.157891\pi\) | |||||||
\(458\) | −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 | 0.730584 | + | 0.682823i | \(0.239248\pi\) |
−0.291293 | + | 0.956634i | \(0.594085\pi\) | |||||||
\(462\) | 6.68982 | + | 1.59216i | 0.311239 | + | 0.0740738i | ||||
\(463\) | −5.57925 | + | 5.57925i | −0.259290 | + | 0.259290i | −0.824765 | − | 0.565476i | \(-0.808693\pi\) |
0.565476 | + | 0.824765i | \(0.308693\pi\) | |||||||
\(464\) | −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 | \(-0.319048\pi\) | ||||
0.538349 | + | 0.842722i | \(0.319048\pi\) | |||||||
\(468\) | 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 | ||||
\(476\) | 0.473904 | + | 1.58838i | 0.0217214 | + | 0.0728033i | ||||
\(477\) | −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 | 0.286634 | + | 0.958040i | \(0.407464\pi\) |
−0.727252 | + | 0.686370i | \(0.759203\pi\) | |||||||
\(480\) | 1.86400i | 0.0850795i | ||||||||
\(481\) | 19.1943 | + | 10.2611i | 0.875187 | + | 0.467864i | ||||
\(482\) | − | 33.1652i | − | 1.51063i | ||||||
\(483\) | −7.13025 | − | 6.73972i | −0.324438 | − | 0.306668i | ||||
\(484\) | 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 | −0.996369 | − | 0.0851447i | \(-0.972865\pi\) |
−0.820308 | + | 0.571922i | \(0.806198\pi\) | |||||||
\(488\) | 0.0902975 | − | 0.0241951i | 0.00408757 | − | 0.00109526i | ||||
\(489\) | 10.6663 | + | 10.6663i | 0.482349 | + | 0.482349i | ||||
\(490\) | 0.889421 | + | 15.7815i | 0.0401799 | + | 0.712937i | ||||
\(491\) | 7.22040 | − | 4.16870i | 0.325852 | − | 0.188131i | −0.328146 | − | 0.944627i | \(-0.606424\pi\) |
0.653998 | + | 0.756496i | \(0.273090\pi\) | |||||||
\(492\) | −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 | ||||
\(497\) | 0.879533 | + | 31.2369i | 0.0394524 | + | 1.40117i | ||||
\(498\) | −19.7761 | − | 11.4177i | −0.886188 | − | 0.511641i | ||||
\(499\) | −6.61818 | − | 6.61818i | −0.296270 | − | 0.296270i | 0.543281 | − | 0.839551i | \(-0.317182\pi\) |
−0.839551 | + | 0.543281i | \(0.817182\pi\) | |||||||
\(500\) | −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 | \(-0.283384\pi\) |
−0.358515 | + | 0.933524i | \(0.616717\pi\) | |||||||
\(504\) | 7.01818 | − | 0.197610i | 0.312614 | − | 0.00880223i | ||||
\(505\) | −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 | \(-0.462359\pi\) |
−0.394336 | + | 0.918966i | \(0.629025\pi\) | |||||||
\(510\) | 5.61276 | − | 3.24053i | 0.248537 | − | 0.143493i | ||||
\(511\) | −36.1184 | + | 22.2313i | −1.59778 | + | 0.983457i | ||||
\(512\) | −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 | ||||
\(518\) | −17.2868 | − | 16.3400i | −0.759539 | − | 0.717938i | ||||
\(519\) | − | 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 | −0.546203 | + | 0.837653i | \(0.683927\pi\) |
−0.998530 | + | 0.0541990i | \(0.982739\pi\) | |||||||
\(524\) | −0.793960 | + | 1.37518i | −0.0346843 | + | 0.0600749i | ||||
\(525\) | −6.84890 | + | 2.04342i | −0.298911 | + | 0.0891821i | ||||
\(526\) | −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 | ||||
\(539\) | −9.11018 | − | 8.13810i | −0.392403 | − | 0.350533i | ||||
\(540\) | 0.0856533 | + | 0.319663i | 0.00368593 | + | 0.0137561i | ||||
\(541\) | −14.4412 | + | 14.4412i | −0.620878 | + | 0.620878i | −0.945756 | − | 0.324878i | \(-0.894677\pi\) |
0.324878 | + | 0.945756i | \(0.394677\pi\) | |||||||
\(542\) | 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 | ||||||||
\(546\) | −13.9219 | − | 2.83638i | −0.595801 | − | 0.121386i | ||||
\(547\) | 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 | ||||
\(553\) | 2.16253 | − | 9.08637i | 0.0919600 | − | 0.386392i | ||||
\(554\) | −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 | −0.798420 | − | 0.602100i | \(-0.794331\pi\) |
−0.992503 | + | 0.122224i | \(0.960997\pi\) | |||||||
\(558\) | 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 | \(-0.869194\pi\) |
0.804325 | + | 0.594190i | \(0.202527\pi\) | |||||||
\(564\) | −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 | ||||
\(567\) | 2.53531 | − | 0.756429i | 0.106473 | − | 0.0317670i | ||||
\(568\) | 15.6714 | − | 27.1437i | 0.657559 | − | 1.13893i | ||||
\(569\) | 15.8463 | − | 9.14887i | 0.664312 | − | 0.383541i | −0.129606 | − | 0.991566i | \(-0.541371\pi\) |
0.793918 | + | 0.608025i | \(0.208038\pi\) | |||||||
\(570\) | −0.879743 | + | 3.28325i | −0.0368484 | + | 0.137520i | ||||
\(571\) | 33.5009i | 1.40197i | 0.713176 | + | 0.700985i | \(0.247256\pi\) | ||||
−0.713176 | + | 0.700985i | \(0.752744\pi\) | |||||||
\(572\) | 0.725200 | + | 1.16637i | 0.0303221 | + | 0.0487684i | ||||
\(573\) | − | 0.846233i | − | 0.0353519i | ||||||
\(574\) | 9.19089 | + | 8.68749i | 0.383620 | + | 0.362609i | ||||
\(575\) | −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 | \(-0.831000\pi\) |
0.506334 | + | 0.862337i | \(0.331000\pi\) | |||||||
\(578\) | 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 | ||||
\(581\) | 21.2632 | + | 34.5455i | 0.882146 | + | 1.43319i | ||||
\(582\) | 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 | \(-0.0566009\pi\) |
0.763929 | + | 0.645300i | \(0.223268\pi\) | |||||||
\(588\) | 1.36415 | + | 0.688316i | 0.0562567 | + | 0.0283857i | ||||
\(589\) | 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 | −0.972483 | − | 0.232973i | \(-0.925155\pi\) |
−0.232973 | − | 0.972483i | \(-0.574845\pi\) | |||||||
\(594\) | −2.25092 | − | 1.29957i | −0.0923564 | − | 0.0533220i | ||||
\(595\) | −11.5084 | + | 0.324040i | −0.471798 | + | 0.0132843i | ||||
\(596\) | 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 | \(-0.695771\pi\) |
0.418837 | + | 0.908062i | \(0.362438\pi\) | |||||||
\(602\) | 7.84743 | + | 12.7494i | 0.319837 | + | 0.519627i | ||||
\(603\) | 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 | \(-0.424115\pi\) |
−0.723458 | + | 0.690368i | \(0.757449\pi\) | |||||||
\(608\) | 0.925346 | + | 1.60275i | 0.0375277 | + | 0.0649999i | ||||
\(609\) | 6.01472 | − | 6.36324i | 0.243729 | − | 0.257851i | ||||
\(610\) | − | 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 | −0.870461 | − | 0.492238i | \(-0.836179\pi\) |
0.999960 | + | 0.00893943i | \(0.00284555\pi\) | |||||||
\(614\) | 6.35722 | − | 3.67034i | 0.256557 | − | 0.148123i | ||||
\(615\) | 2.43293 | − | 4.21396i | 0.0981052 | − | 0.169923i | ||||
\(616\) | 3.50297 | + | 11.7409i | 0.141139 | + | 0.473053i | ||||
\(617\) | 4.24013 | − | 1.13614i | 0.170701 | − | 0.0457392i | −0.172456 | − | 0.985017i | \(-0.555170\pi\) |
0.343157 | + | 0.939278i | \(0.388504\pi\) | |||||||
\(618\) | 3.44379 | + | 12.8524i | 0.138529 | + | 0.516999i | ||||
\(619\) | 3.42700 | + | 3.42700i | 0.137743 | + | 0.137743i | 0.772616 | − | 0.634873i | \(-0.218948\pi\) |
−0.634873 | + | 0.772616i | \(0.718948\pi\) | |||||||
\(620\) | 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 | ||||
\(630\) | 1.38323 | − | 5.81199i | 0.0551094 | − | 0.231555i | ||||
\(631\) | 7.50951 | + | 28.0259i | 0.298949 | + | 1.11569i | 0.938030 | + | 0.346554i | \(0.112648\pi\) |
−0.639081 | + | 0.769139i | \(0.720685\pi\) | |||||||
\(632\) | −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 | ||||||||
\(637\) | 19.3616 | + | 16.1904i | 0.767135 | + | 0.641486i | ||||
\(638\) | −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 | 0.964332 | − | 0.264696i | \(-0.0852716\pi\) |
0.252932 | + | 0.967484i | \(0.418605\pi\) | |||||||
\(642\) | −13.7409 | + | 13.7409i | −0.542309 | + | 0.542309i | ||||
\(643\) | 1.54772 | + | 5.77618i | 0.0610362 | + | 0.227790i | 0.989706 | − | 0.143118i | \(-0.0457129\pi\) |
−0.928669 | + | 0.370909i | \(0.879046\pi\) | |||||||
\(644\) | −0.495857 | + | 2.08346i | −0.0195395 | + | 0.0820999i | ||||
\(645\) | 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 | \(-0.275219\pi\) |
−0.983380 | + | 0.181558i | \(0.941886\pi\) | |||||||
\(648\) | −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 | 0.944049 | − | 0.329805i | \(-0.106983\pi\) |
−0.757644 | + | 0.652668i | \(0.773650\pi\) | |||||||
\(654\) | −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 | ||||
\(658\) | 9.34211 | + | 31.3119i | 0.364193 | + | 1.22066i | ||||
\(659\) | −14.3837 | + | 24.9132i | −0.560308 | + | 0.970482i | 0.437161 | + | 0.899383i | \(0.355984\pi\) |
−0.997469 | + | 0.0710991i | \(0.977349\pi\) | |||||||
\(660\) | −0.500150 | + | 0.288762i | −0.0194683 | + | 0.0112400i | ||||
\(661\) | 5.58403 | − | 20.8399i | 0.217193 | − | 0.810577i | −0.768189 | − | 0.640223i | \(-0.778842\pi\) |
0.985383 | − | 0.170354i | \(-0.0544912\pi\) | |||||||
\(662\) | − | 35.0561i | − | 1.36250i | ||||||
\(663\) | 2.35050 | − | 10.0780i | 0.0912859 | − | 0.391398i | ||||
\(664\) | − | 40.6864i | − | 1.57894i | ||||||
\(665\) | 4.14772 | − | 4.38806i | 0.160842 | − | 0.170162i | ||||
\(666\) | 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 | ||||
\(672\) | −1.70507 | − | 2.77015i | −0.0657743 | − | 0.106861i | ||||
\(673\) | 24.5175 | − | 14.1552i | 0.945082 | − | 0.545643i | 0.0535322 | − | 0.998566i | \(-0.482952\pi\) |
0.891550 | + | 0.452923i | \(0.149619\pi\) | |||||||
\(674\) | −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 | ||||
\(679\) | −25.2241 | + | 0.710231i | −0.968013 | + | 0.0272562i | ||||
\(680\) | 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 | 0.975551 | + | 0.219772i | \(0.0705313\pi\) |
−0.734966 | + | 0.678104i | \(0.762802\pi\) | |||||||
\(684\) | 0.232339 | + | 0.232339i | 0.00888369 | + | 0.00888369i | ||||
\(685\) | −27.3377 | − | 15.7834i | −1.04452 | − | 0.603053i | ||||
\(686\) | −15.7577 | − | 22.6399i | −0.601633 | − | 0.864395i | ||||
\(687\) | −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 | \(-0.281396\pi\) |
0.162444 | + | 0.986718i | \(0.448062\pi\) | |||||||
\(692\) | −4.12196 | + | 2.37982i | −0.156694 | + | 0.0904671i | ||||
\(693\) | 2.42018 | + | 3.93198i | 0.0919351 | + | 0.149363i | ||||
\(694\) | 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 | ||||
\(700\) | 1.13378 | + | 1.07168i | 0.0428527 | + | 0.0405056i | ||||
\(701\) | 33.2903i | 1.25736i | 0.777665 | + | 0.628678i | \(0.216404\pi\) | ||||
−0.777665 | + | 0.628678i | \(0.783596\pi\) | |||||||
\(702\) | 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 | ||||
\(707\) | 34.2000 | − | 10.2038i | 1.28622 | − | 0.383754i | ||||
\(708\) | 0.211259 | − | 0.0566065i | 0.00793958 | − | 0.00212740i | ||||
\(709\) | 0.389951 | + | 1.45532i | 0.0146449 | + | 0.0546556i | 0.972862 | − | 0.231388i | \(-0.0743266\pi\) |
−0.958217 | + | 0.286043i | \(0.907660\pi\) | |||||||
\(710\) | −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 | −0.394463 | − | 0.918912i | \(-0.629069\pi\) |
0.993032 | − | 0.117841i | \(-0.0375974\pi\) | |||||||
\(720\) | −4.70515 | + | 4.70515i | −0.175351 | + | 0.175351i | ||||
\(721\) | 5.47252 | − | 22.9941i | 0.203807 | − | 0.856345i | ||||
\(722\) | −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 | \(-0.715404\pi\) | ||||
−0.626233 | + | 0.779636i | \(0.715404\pi\) | |||||||
\(728\) | −8.02586 | − | 24.0085i | −0.297458 | − | 0.889813i | ||||
\(729\) | −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 | \(-0.792468\pi\) |
0.606761 | + | 0.794884i | \(0.292468\pi\) | |||||||
\(734\) | −1.56438 | − | 5.83834i | −0.0577423 | − | 0.215497i | ||||
\(735\) | −7.07022 | + | 7.91475i | −0.260789 | + | 0.291940i | ||||
\(736\) | 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 | 0.640978 | − | 0.767559i | \(-0.278529\pi\) |
0.171324 | + | 0.985215i | \(0.445196\pi\) | |||||||
\(740\) | 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 | −0.997557 | − | 0.0698588i | \(-0.977745\pi\) |
0.898839 | + | 0.438279i | \(0.144412\pi\) | |||||||
\(744\) | 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 | ||||
\(749\) | 33.0791 | − | 9.86937i | 1.20868 | − | 0.360619i | ||||
\(750\) | 8.69520 | − | 15.0605i | 0.317504 | − | 0.549933i | ||||
\(751\) | −35.7335 | + | 20.6307i | −1.30393 | + | 0.752827i | −0.981076 | − | 0.193621i | \(-0.937977\pi\) |
−0.322858 | + | 0.946448i | \(0.604643\pi\) | |||||||
\(752\) | 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 | ||||||
\(756\) | −0.419699 | − | 0.396712i | −0.0152643 | − | 0.0144283i | ||||
\(757\) | 9.58077 | + | 16.5944i | 0.348219 | + | 0.603133i | 0.985933 | − | 0.167140i | \(-0.0534532\pi\) |
−0.637714 | + | 0.770273i | \(0.720120\pi\) | |||||||
\(758\) | −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 | \(-0.682469\pi\) |
−0.0496251 | + | 0.998768i | \(0.515803\pi\) | |||||||
\(762\) | −4.46345 | − | 4.46345i | −0.161694 | − | 0.161694i | ||||
\(763\) | 44.7120 | − | 27.5208i | 1.61868 | − | 0.996320i | ||||
\(764\) | −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 | \(-0.0739613\pi\) |
0.727617 | + | 0.685984i | \(0.240628\pi\) | |||||||
\(770\) | 10.4217 | − | 0.293442i | 0.375571 | − | 0.0105749i | ||||
\(771\) | 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 | \(-0.133796\pi\) |
−0.994673 | + | 0.103083i | \(0.967129\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | −0.449517 | − | 15.9648i | −0.0161263 | − | 0.572733i | ||||
\(778\) | 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 | ||||
\(784\) | 1.72872 | + | 30.6737i | 0.0617400 | + | 1.09549i | ||||
\(785\) | 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 | \(-0.713660\pi\) |
−0.147097 | + | 0.989122i | \(0.546993\pi\) | |||||||
\(788\) | 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 | ||||
\(791\) | −21.5467 | − | 20.3666i | −0.766113 | − | 0.724152i | ||||
\(792\) | − | 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 | 0.497021 | + | 0.867739i | \(0.334427\pi\) |
−0.999994 | + | 0.00343670i | \(0.998906\pi\) | |||||||
\(798\) | −1.69588 | − | 5.68408i | −0.0600336 | − | 0.201214i | ||||
\(799\) | −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 | −0.996298 | − | 0.0859669i | \(-0.972602\pi\) |
0.423700 | − | 0.905803i | \(-0.360731\pi\) | |||||||
\(810\) | −1.12904 | + | 1.95556i | −0.0396705 | + | 0.0687112i | ||||
\(811\) | 23.2549 | − | 23.2549i | 0.816589 | − | 0.816589i | −0.169023 | − | 0.985612i | \(-0.554061\pi\) |
0.985612 | + | 0.169023i | \(0.0540614\pi\) | |||||||
\(812\) | −1.85934 | − | 0.442517i | −0.0652500 | − | 0.0155293i | ||||
\(813\) | 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 | ||||||||
\(819\) | −5.26298 | − | 7.95619i | −0.183903 | − | 0.278012i | ||||
\(820\) | −1.06213 | −0.0370911 | ||||||||
\(821\) | 4.01809 | − | 14.9957i | 0.140232 | − | 0.523354i | −0.859689 | − | 0.510817i | \(-0.829343\pi\) |
0.999921 | − | 0.0125363i | \(-0.00399052\pi\) | |||||||
\(822\) | −26.8558 | + | 15.5052i | −0.936705 | + | 0.540807i | ||||
\(823\) | −7.93891 | − | 4.58353i | −0.276733 | − | 0.159772i | 0.355210 | − | 0.934786i | \(-0.384409\pi\) |
−0.631944 | + | 0.775014i | \(0.717743\pi\) | |||||||
\(824\) | −16.7635 | + | 16.7635i | −0.583983 | + | 0.583983i | ||||
\(825\) | 1.22013 | + | 4.55360i | 0.0424796 | + | 0.158536i | ||||
\(826\) | −3.84102 | − | 0.914151i | −0.133646 | − | 0.0318074i | ||||
\(827\) | 23.9115 | − | 23.9115i | 0.831483 | − | 0.831483i | −0.156237 | − | 0.987720i | \(-0.549936\pi\) |
0.987720 | + | 0.156237i | \(0.0499362\pi\) | |||||||
\(828\) | 0.404735 | − | 0.701021i | 0.0140655 | − | 0.0243622i | ||||
\(829\) | 0.903774 | + | 1.56538i | 0.0313894 | + | 0.0543680i | 0.881293 | − | 0.472570i | \(-0.156673\pi\) |
−0.849904 | + | 0.526938i | \(0.823340\pi\) | |||||||
\(830\) | −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 | \(-0.683003\pi\) |
−0.0512985 | + | 0.998683i | \(0.516336\pi\) | |||||||
\(840\) | 10.2002 | − | 3.04331i | 0.351942 | − | 0.105004i | ||||
\(841\) | 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 | ||||||
\(847\) | 14.4570 | − | 15.2947i | 0.496747 | − | 0.525531i | ||||
\(848\) | 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 | \(-0.139981\pi\) |
−0.425726 | + | 0.904852i | \(0.639981\pi\) | |||||||
\(854\) | 0.0727645 | + | 0.118218i | 0.00248995 | + | 0.00404532i | ||||
\(855\) | −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 | \(-0.732507\pi\) | ||||
−0.667199 | + | 0.744879i | \(0.732507\pi\) | |||||||
\(858\) | −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 | ||||
\(861\) | 0.238995 | + | 8.48799i | 0.00814493 | + | 0.289270i | ||||
\(862\) | 8.37267 | + | 4.83396i | 0.285174 | + | 0.164645i | ||||
\(863\) | −16.2731 | − | 16.2731i | −0.553941 | − | 0.553941i | 0.373635 | − | 0.927576i | \(-0.378111\pi\) |
−0.927576 | + | 0.373635i | \(0.878111\pi\) | |||||||
\(864\) | 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 | ||||
\(868\) | 0.0304308 | + | 1.08076i | 0.00103289 | + | 0.0366835i | ||||
\(869\) | −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 | ||||
\(875\) | −26.3082 | + | 16.1930i | −0.889379 | + | 0.547424i | ||||
\(876\) | −2.47423 | − | 2.47423i | −0.0835966 | − | 0.0835966i | ||||
\(877\) | 43.5370 | − | 11.6657i | 1.47014 | − | 0.393923i | 0.567162 | − | 0.823607i | \(-0.308041\pi\) |
0.902980 | + | 0.429683i | \(0.141375\pi\) | |||||||
\(878\) | 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 | \(-0.124959\pi\) |
−0.793274 | + | 0.608865i | \(0.791625\pi\) | |||||||
\(882\) | 3.26076 | + | 9.90269i | 0.109795 | + | 0.333441i | ||||
\(883\) | 50.1556i | 1.68787i | 0.536446 | + | 0.843935i | \(0.319766\pi\) | ||||
−0.536446 | + | 0.843935i | \(0.680234\pi\) | |||||||
\(884\) | −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 | \(-0.803016\pi\) |
0.0951001 | + | 0.995468i | \(0.469683\pi\) | |||||||
\(888\) | −8.00945 | + | 13.8728i | −0.268780 | + | 0.465540i | ||||
\(889\) | 3.20586 | + | 10.7451i | 0.107521 | + | 0.360378i | ||||
\(890\) | 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 | ||||
\(903\) | −2.32728 | + | 9.77861i | −0.0774469 | + | 0.325412i | ||||
\(904\) | 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 | −0.921226 | − | 0.389027i | \(-0.872811\pi\) |
−0.123706 | + | 0.992319i | \(0.539478\pi\) | |||||||
\(908\) | −1.25879 | + | 4.69786i | −0.0417743 | + | 0.155904i | ||||
\(909\) | −13.4895 | −0.447417 | ||||||||
\(910\) | −21.5009 | + | 1.30919i | −0.712748 | + | 0.0433991i | ||||
\(911\) | 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 | ||||
\(917\) | 18.7239 | + | 4.45623i | 0.618318 | + | 0.147158i | ||||
\(918\) | 3.02273 | − | 3.02273i | 0.0997649 | − | 0.0997649i | ||||
\(919\) | 12.6196 | − | 21.8577i | 0.416281 | − | 0.721020i | −0.579281 | − | 0.815128i | \(-0.696666\pi\) |
0.995562 | + | 0.0941078i | \(0.0299998\pi\) | |||||||
\(920\) | 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 | \(-0.0948012\pi\) |
−0.974622 | + | 0.223859i | \(0.928134\pi\) | |||||||
\(930\) | 4.08338 | − | 1.09414i | 0.133899 | − | 0.0358782i | ||||
\(931\) | −2.15016 | + | 10.3153i | −0.0704685 | + | 0.338071i | ||||
\(932\) | 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 | \(-0.165227\pi\) | |||||||
\(938\) | −13.1969 | + | 13.9616i | −0.430893 | + | 0.455861i | ||||
\(939\) | 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 | \(-0.541443\pi\) |
0.991536 | + | 0.129829i | \(0.0414429\pi\) | |||||||
\(942\) | 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 | ||||
\(945\) | 3.41602 | − | 2.10261i | 0.111123 | − | 0.0683978i | ||||
\(946\) | 8.55170 | − | 4.93733i | 0.278040 | − | 0.160526i | ||||
\(947\) | 25.0722 | + | 6.71808i | 0.814738 | + | 0.218308i | 0.642044 | − | 0.766667i | \(-0.278086\pi\) |
0.172693 | + | 0.984976i | \(0.444753\pi\) | |||||||
\(948\) | 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 | ||||
\(952\) | −20.1433 | + | 0.567171i | −0.652848 | + | 0.0183821i | ||||
\(953\) | 24.6170 | + | 14.2126i | 0.797422 | + | 0.460392i | 0.842569 | − | 0.538589i | \(-0.181042\pi\) |
−0.0451471 | + | 0.998980i | \(0.514376\pi\) | |||||||
\(954\) | 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 | ||||
\(959\) | 55.0651 | − | 1.55046i | 1.77815 | − | 0.0500669i | ||||
\(960\) | −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 | ||||
\(966\) | −12.4446 | + | 7.65982i | −0.400399 | + | 0.246451i | ||||
\(967\) | −18.9661 | − | 18.9661i | −0.609908 | − | 0.609908i | 0.333014 | − | 0.942922i | \(-0.391935\pi\) |
−0.942922 | + | 0.333014i | \(0.891935\pi\) | |||||||
\(968\) | −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 | \(-0.191730\pi\) |
−0.0786584 | + | 0.996902i | \(0.525064\pi\) | |||||||
\(972\) | 0.109141 | + | 0.189037i | 0.00350069 | + | 0.00606337i | ||||
\(973\) | 34.1000 | − | 36.0759i | 1.09320 | − | 1.15654i | ||||
\(974\) | 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 | 0.686556 | + | 0.727077i | \(0.259122\pi\) |
−0.958113 | + | 0.286389i | \(0.907545\pi\) | |||||||
\(978\) | 19.4567 | − | 11.2333i | 0.622157 | − | 0.359203i | ||||
\(979\) | −6.81848 | + | 11.8099i | −0.217919 | + | 0.377448i | ||||
\(980\) | 2.26783 | + | 0.472714i | 0.0724432 | + | 0.0151003i | ||||
\(981\) | −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 | \(-0.409148\pi\) |
−0.959543 | + | 0.281561i | \(0.909148\pi\) | |||||||
\(984\) | 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 | 0.997423 | + | 0.0717510i | \(0.0228587\pi\) |
−0.436573 | + | 0.899669i | \(0.643808\pi\) | |||||||
\(992\) | 1.15086 | − | 1.99334i | 0.0365397 | − | 0.0632886i | ||||
\(993\) | 16.6433 | − | 16.6433i | 0.528161 | − | 0.528161i | ||||
\(994\) | 45.2778 | + | 10.7760i | 1.43612 | + | 0.341793i | ||||
\(995\) | −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 | \(-0.359560\pi\) |
−0.569578 | + | 0.821938i | \(0.692893\pi\) | |||||||
\(998\) | −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.c.76.7 | ✓ | 32 | |
3.2 | odd | 2 | 819.2.fm.f.622.2 | 32 | |||
7.6 | odd | 2 | 273.2.by.d.76.7 | yes | 32 | ||
13.6 | odd | 12 | 273.2.by.d.97.7 | yes | 32 | ||
21.20 | even | 2 | 819.2.fm.e.622.2 | 32 | |||
39.32 | even | 12 | 819.2.fm.e.370.2 | 32 | |||
91.6 | even | 12 | inner | 273.2.by.c.97.7 | yes | 32 | |
273.188 | odd | 12 | 819.2.fm.f.370.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.76.7 | ✓ | 32 | 1.1 | even | 1 | trivial | |
273.2.by.c.97.7 | yes | 32 | 91.6 | even | 12 | inner | |
273.2.by.d.76.7 | yes | 32 | 7.6 | odd | 2 | ||
273.2.by.d.97.7 | yes | 32 | 13.6 | odd | 12 | ||
819.2.fm.e.370.2 | 32 | 39.32 | even | 12 | |||
819.2.fm.e.622.2 | 32 | 21.20 | even | 2 | |||
819.2.fm.f.370.2 | 32 | 273.188 | odd | 12 | |||
819.2.fm.f.622.2 | 32 | 3.2 | odd | 2 |