Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(16,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 12, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bg (of order \(15\), degree \(8\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 334.7 | ||
Character | \(\chi\) | \(=\) | 429.334 |
Dual form | 429.2.bg.a.289.7 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.426907 | + | 0.190071i | −0.301869 | + | 0.134401i | −0.552081 | − | 0.833790i | \(-0.686166\pi\) |
0.250212 | + | 0.968191i | \(0.419500\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | −1.19214 | + | 1.32400i | −0.596069 | + | 0.662002i | ||||
\(5\) | 0.757885 | − | 0.550636i | 0.338936 | − | 0.246252i | −0.405277 | − | 0.914194i | \(-0.632825\pi\) |
0.744213 | + | 0.667942i | \(0.232825\pi\) | |||||||
\(6\) | 0.426907 | + | 0.190071i | 0.174284 | + | 0.0775963i | ||||
\(7\) | 0.718277 | − | 0.797728i | 0.271483 | − | 0.301513i | −0.591951 | − | 0.805974i | \(-0.701642\pi\) |
0.863434 | + | 0.504461i | \(0.168309\pi\) | |||||||
\(8\) | 0.546090 | − | 1.68069i | 0.193072 | − | 0.594214i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −0.218887 | + | 0.379123i | −0.0692180 | + | 0.119889i | ||||
\(11\) | −2.58952 | + | 2.07229i | −0.780769 | + | 0.624819i | ||||
\(12\) | 1.78162 | 0.514310 | ||||||||
\(13\) | 3.60513 | − | 0.0550045i | 0.999884 | − | 0.0152555i | ||||
\(14\) | −0.155013 | + | 0.477080i | −0.0414289 | + | 0.127505i | ||||
\(15\) | −0.916326 | − | 0.194771i | −0.236594 | − | 0.0502897i | ||||
\(16\) | −0.286139 | − | 2.72243i | −0.0715347 | − | 0.680608i | ||||
\(17\) | 2.20862 | + | 0.983339i | 0.535668 | + | 0.238495i | 0.656697 | − | 0.754154i | \(-0.271953\pi\) |
−0.121029 | + | 0.992649i | \(0.538620\pi\) | |||||||
\(18\) | −0.144406 | − | 0.444437i | −0.0340369 | − | 0.104755i | ||||
\(19\) | 5.15717 | − | 1.09619i | 1.18314 | − | 0.251483i | 0.425989 | − | 0.904728i | \(-0.359926\pi\) |
0.757147 | + | 0.653245i | \(0.226593\pi\) | |||||||
\(20\) | −0.174460 | + | 1.65988i | −0.0390104 | + | 0.371160i | ||||
\(21\) | −1.07345 | −0.234246 | ||||||||
\(22\) | 0.711601 | − | 1.37687i | 0.151714 | − | 0.293550i | ||||
\(23\) | 3.45980 | − | 5.99255i | 0.721418 | − | 1.24953i | −0.239014 | − | 0.971016i | \(-0.576824\pi\) |
0.960432 | − | 0.278516i | \(-0.0898426\pi\) | |||||||
\(24\) | −1.61440 | + | 0.718778i | −0.329539 | + | 0.146720i | ||||
\(25\) | −1.27390 | + | 3.92065i | −0.254779 | + | 0.784129i | ||||
\(26\) | −1.52860 | + | 0.708714i | −0.299784 | + | 0.138990i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | 0.199909 | + | 1.90200i | 0.0377792 | + | 0.359445i | ||||
\(29\) | 3.51009 | + | 0.746093i | 0.651808 | + | 0.138546i | 0.521936 | − | 0.852985i | \(-0.325210\pi\) |
0.129872 | + | 0.991531i | \(0.458543\pi\) | |||||||
\(30\) | 0.428207 | − | 0.0910181i | 0.0781795 | − | 0.0166176i | ||||
\(31\) | 3.07661 | + | 2.23529i | 0.552576 | + | 0.401470i | 0.828734 | − | 0.559642i | \(-0.189062\pi\) |
−0.276159 | + | 0.961112i | \(0.589062\pi\) | |||||||
\(32\) | 2.40679 | + | 4.16869i | 0.425465 | + | 0.736927i | ||||
\(33\) | 3.27274 | + | 0.537754i | 0.569711 | + | 0.0936110i | ||||
\(34\) | −1.12978 | −0.193756 | ||||||||
\(35\) | 0.105114 | − | 1.00009i | 0.0177675 | − | 0.169047i | ||||
\(36\) | −1.19214 | − | 1.32400i | −0.198690 | − | 0.220667i | ||||
\(37\) | 9.93371 | + | 2.11147i | 1.63309 | + | 0.347124i | 0.931016 | − | 0.364978i | \(-0.118924\pi\) |
0.702075 | + | 0.712103i | \(0.252257\pi\) | |||||||
\(38\) | −1.99328 | + | 1.44820i | −0.323353 | + | 0.234929i | ||||
\(39\) | −2.45318 | − | 2.64233i | −0.392823 | − | 0.423111i | ||||
\(40\) | −0.511575 | − | 1.57447i | −0.0808872 | − | 0.248945i | ||||
\(41\) | −1.35402 | − | 1.50379i | −0.211463 | − | 0.234853i | 0.628077 | − | 0.778151i | \(-0.283842\pi\) |
−0.839540 | + | 0.543298i | \(0.817175\pi\) | |||||||
\(42\) | 0.458263 | − | 0.204032i | 0.0707115 | − | 0.0314828i | ||||
\(43\) | 2.06088 | + | 3.56955i | 0.314281 | + | 0.544351i | 0.979284 | − | 0.202489i | \(-0.0649031\pi\) |
−0.665003 | + | 0.746841i | \(0.731570\pi\) | |||||||
\(44\) | 0.343343 | − | 5.89899i | 0.0517609 | − | 0.889306i | ||||
\(45\) | 0.468399 | + | 0.811290i | 0.0698247 | + | 0.120940i | ||||
\(46\) | −0.338002 | + | 3.21587i | −0.0498356 | + | 0.474154i | ||||
\(47\) | 3.07221 | − | 9.45529i | 0.448128 | − | 1.37920i | −0.430888 | − | 0.902405i | \(-0.641800\pi\) |
0.879017 | − | 0.476791i | \(-0.158200\pi\) | |||||||
\(48\) | −1.83170 | + | 2.03430i | −0.264383 | + | 0.293627i | ||||
\(49\) | 0.611252 | + | 5.81567i | 0.0873217 | + | 0.830811i | ||||
\(50\) | −0.201367 | − | 1.91588i | −0.0284777 | − | 0.270947i | ||||
\(51\) | −0.747089 | − | 2.29930i | −0.104613 | − | 0.321967i | ||||
\(52\) | −4.22499 | + | 4.83878i | −0.585901 | + | 0.671018i | ||||
\(53\) | −8.05930 | − | 5.85542i | −1.10703 | − | 0.804304i | −0.124836 | − | 0.992177i | \(-0.539841\pi\) |
−0.982193 | + | 0.187873i | \(0.939841\pi\) | |||||||
\(54\) | −0.233654 | + | 0.404701i | −0.0317963 | + | 0.0550728i | ||||
\(55\) | −0.821480 | + | 2.99644i | −0.110768 | + | 0.404040i | ||||
\(56\) | −0.948490 | − | 1.64283i | −0.126747 | − | 0.219533i | ||||
\(57\) | −4.26545 | − | 3.09903i | −0.564972 | − | 0.410477i | ||||
\(58\) | −1.64030 | + | 0.348655i | −0.215381 | + | 0.0457807i | ||||
\(59\) | −0.420199 | + | 0.466679i | −0.0547053 | + | 0.0607564i | −0.769876 | − | 0.638193i | \(-0.779682\pi\) |
0.715171 | + | 0.698949i | \(0.246349\pi\) | |||||||
\(60\) | 1.35026 | − | 0.981025i | 0.174318 | − | 0.126650i | ||||
\(61\) | −5.26644 | − | 2.34477i | −0.674298 | − | 0.300217i | 0.0408749 | − | 0.999164i | \(-0.486985\pi\) |
−0.715173 | + | 0.698947i | \(0.753652\pi\) | |||||||
\(62\) | −1.73829 | − | 0.369485i | −0.220763 | − | 0.0469247i | ||||
\(63\) | 0.718277 | + | 0.797728i | 0.0904944 | + | 0.100504i | ||||
\(64\) | 2.60942 | + | 1.89586i | 0.326178 | + | 0.236982i | ||||
\(65\) | 2.70199 | − | 2.02680i | 0.335140 | − | 0.251394i | ||||
\(66\) | −1.49937 | + | 0.392483i | −0.184559 | + | 0.0483113i | ||||
\(67\) | 4.40574 | − | 7.63097i | 0.538247 | − | 0.932271i | −0.460751 | − | 0.887529i | \(-0.652420\pi\) |
0.998999 | − | 0.0447421i | \(-0.0142466\pi\) | |||||||
\(68\) | −3.93492 | + | 1.75194i | −0.477179 | + | 0.212454i | ||||
\(69\) | −6.76839 | + | 1.43867i | −0.814818 | + | 0.173195i | ||||
\(70\) | 0.145215 | + | 0.446927i | 0.0173566 | + | 0.0534180i | ||||
\(71\) | −5.55464 | − | 2.47309i | −0.659215 | − | 0.293501i | 0.0497328 | − | 0.998763i | \(-0.484163\pi\) |
−0.708947 | + | 0.705261i | \(0.750830\pi\) | |||||||
\(72\) | 1.61440 | + | 0.718778i | 0.190259 | + | 0.0847088i | ||||
\(73\) | 1.37223 | + | 4.22329i | 0.160607 | + | 0.494299i | 0.998686 | − | 0.0512512i | \(-0.0163209\pi\) |
−0.838078 | + | 0.545550i | \(0.816321\pi\) | |||||||
\(74\) | −4.64210 | + | 0.986710i | −0.539634 | + | 0.114703i | ||||
\(75\) | 3.76601 | − | 1.67674i | 0.434861 | − | 0.193613i | ||||
\(76\) | −4.69670 | + | 8.13492i | −0.538749 | + | 0.933140i | ||||
\(77\) | −0.206868 | + | 3.55421i | −0.0235748 | + | 0.405040i | ||||
\(78\) | 1.54951 | + | 0.661751i | 0.175448 | + | 0.0749285i | ||||
\(79\) | −9.22352 | − | 6.70128i | −1.03773 | − | 0.753953i | −0.0678865 | − | 0.997693i | \(-0.521626\pi\) |
−0.969841 | + | 0.243740i | \(0.921626\pi\) | |||||||
\(80\) | −1.71593 | − | 1.90573i | −0.191847 | − | 0.213067i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 0.863870 | + | 0.384620i | 0.0953984 | + | 0.0424741i | ||||
\(83\) | −13.3400 | + | 9.69209i | −1.46426 | + | 1.06385i | −0.482029 | + | 0.876155i | \(0.660100\pi\) |
−0.982228 | + | 0.187690i | \(0.939900\pi\) | |||||||
\(84\) | 1.27970 | − | 1.42125i | 0.139627 | − | 0.155071i | ||||
\(85\) | 2.21534 | − | 0.470885i | 0.240287 | − | 0.0510746i | ||||
\(86\) | −1.55828 | − | 1.13215i | −0.168033 | − | 0.122083i | ||||
\(87\) | −1.79425 | − | 3.10774i | −0.192364 | − | 0.333185i | ||||
\(88\) | 2.06877 | + | 5.48384i | 0.220532 | + | 0.584579i | ||||
\(89\) | −5.13874 | + | 8.90055i | −0.544705 | + | 0.943457i | 0.453920 | + | 0.891042i | \(0.350025\pi\) |
−0.998625 | + | 0.0524146i | \(0.983308\pi\) | |||||||
\(90\) | −0.354166 | − | 0.257317i | −0.0373324 | − | 0.0271235i | ||||
\(91\) | 2.54561 | − | 2.91542i | 0.266852 | − | 0.305619i | ||||
\(92\) | 3.80960 | + | 11.7247i | 0.397178 | + | 1.22239i | ||||
\(93\) | −0.397511 | − | 3.78207i | −0.0412200 | − | 0.392182i | ||||
\(94\) | 0.485631 | + | 4.62047i | 0.0500891 | + | 0.476566i | ||||
\(95\) | 3.30494 | − | 3.67051i | 0.339080 | − | 0.376586i | ||||
\(96\) | 1.48748 | − | 4.57800i | 0.151815 | − | 0.467240i | ||||
\(97\) | −0.966686 | + | 9.19740i | −0.0981521 | + | 0.933855i | 0.829020 | + | 0.559219i | \(0.188899\pi\) |
−0.927172 | + | 0.374636i | \(0.877768\pi\) | |||||||
\(98\) | −1.36634 | − | 2.36657i | −0.138021 | − | 0.239060i | ||||
\(99\) | −1.79026 | − | 2.79195i | −0.179928 | − | 0.280601i | ||||
\(100\) | −3.67229 | − | 6.36059i | −0.367229 | − | 0.636059i | ||||
\(101\) | 12.0961 | − | 5.38551i | 1.20360 | − | 0.535878i | 0.295789 | − | 0.955253i | \(-0.404417\pi\) |
0.907813 | + | 0.419375i | \(0.137751\pi\) | |||||||
\(102\) | 0.755970 | + | 0.839590i | 0.0748522 | + | 0.0831318i | ||||
\(103\) | 4.75332 | + | 14.6292i | 0.468359 | + | 1.44146i | 0.854709 | + | 0.519108i | \(0.173736\pi\) |
−0.386350 | + | 0.922352i | \(0.626264\pi\) | |||||||
\(104\) | 1.87628 | − | 6.08915i | 0.183984 | − | 0.597090i | ||||
\(105\) | −0.813550 | + | 0.591079i | −0.0793944 | + | 0.0576834i | ||||
\(106\) | 4.55352 | + | 0.967881i | 0.442277 | + | 0.0940089i | ||||
\(107\) | −4.29847 | − | 4.77394i | −0.415549 | − | 0.461514i | 0.498636 | − | 0.866812i | \(-0.333835\pi\) |
−0.914185 | + | 0.405298i | \(0.867168\pi\) | |||||||
\(108\) | −0.186230 | + | 1.77186i | −0.0179200 | + | 0.170498i | ||||
\(109\) | −15.6346 | −1.49752 | −0.748761 | − | 0.662840i | \(-0.769351\pi\) | ||||
−0.748761 | + | 0.662840i | \(0.769351\pi\) | |||||||
\(110\) | −0.218842 | − | 1.43534i | −0.0208657 | − | 0.136854i | ||||
\(111\) | −5.07782 | − | 8.79503i | −0.481965 | − | 0.834788i | ||||
\(112\) | −2.37729 | − | 1.72720i | −0.224632 | − | 0.163205i | ||||
\(113\) | 7.95153 | − | 1.69015i | 0.748017 | − | 0.158996i | 0.181896 | − | 0.983318i | \(-0.441777\pi\) |
0.566121 | + | 0.824322i | \(0.308443\pi\) | |||||||
\(114\) | 2.40999 | + | 0.512259i | 0.225716 | + | 0.0479774i | ||||
\(115\) | −0.677581 | − | 6.44675i | −0.0631847 | − | 0.601162i | ||||
\(116\) | −5.17235 | + | 3.75793i | −0.480240 | + | 0.348915i | ||||
\(117\) | −0.322136 | + | 3.59113i | −0.0297815 | + | 0.332000i | ||||
\(118\) | 0.0906839 | − | 0.279096i | 0.00834813 | − | 0.0256929i | ||||
\(119\) | 2.37084 | − | 1.05556i | 0.217334 | − | 0.0967634i | ||||
\(120\) | −0.827746 | + | 1.43370i | −0.0755626 | + | 0.130878i | ||||
\(121\) | 2.41122 | − | 10.7325i | 0.219202 | − | 0.975680i | ||||
\(122\) | 2.69395 | 0.243899 | ||||||||
\(123\) | −0.211519 | + | 2.01247i | −0.0190720 | + | 0.181458i | ||||
\(124\) | −6.62728 | + | 1.40867i | −0.595147 | + | 0.126502i | ||||
\(125\) | 2.64081 | + | 8.12759i | 0.236201 | + | 0.726953i | ||||
\(126\) | −0.458263 | − | 0.204032i | −0.0408253 | − | 0.0181766i | ||||
\(127\) | −1.26700 | − | 12.0547i | −0.112428 | − | 1.06968i | −0.894677 | − | 0.446714i | \(-0.852594\pi\) |
0.782249 | − | 0.622966i | \(-0.214073\pi\) | |||||||
\(128\) | −10.8911 | − | 2.31498i | −0.962649 | − | 0.204617i | ||||
\(129\) | 1.27369 | − | 3.92003i | 0.112143 | − | 0.345139i | ||||
\(130\) | −0.768261 | + | 1.37883i | −0.0673810 | + | 0.120931i | ||||
\(131\) | −7.27611 | −0.635717 | −0.317858 | − | 0.948138i | \(-0.602964\pi\) | ||||
−0.317858 | + | 0.948138i | \(0.602964\pi\) | |||||||
\(132\) | −4.61355 | + | 3.69204i | −0.401558 | + | 0.321351i | ||||
\(133\) | 2.82982 | − | 4.90139i | 0.245376 | − | 0.425004i | ||||
\(134\) | −0.430415 | + | 4.09512i | −0.0371822 | + | 0.353765i | ||||
\(135\) | 0.289486 | − | 0.890947i | 0.0249150 | − | 0.0766805i | ||||
\(136\) | 2.85879 | − | 3.17501i | 0.245139 | − | 0.272255i | ||||
\(137\) | 4.16119 | + | 1.85268i | 0.355514 | + | 0.158285i | 0.576720 | − | 0.816942i | \(-0.304333\pi\) |
−0.221206 | + | 0.975227i | \(0.570999\pi\) | |||||||
\(138\) | 2.61603 | − | 1.90065i | 0.222691 | − | 0.161794i | ||||
\(139\) | 0.903982 | − | 1.00397i | 0.0766748 | − | 0.0851560i | −0.703587 | − | 0.710609i | \(-0.748419\pi\) |
0.780261 | + | 0.625453i | \(0.215086\pi\) | |||||||
\(140\) | 1.19882 | + | 1.33142i | 0.101319 | + | 0.112526i | ||||
\(141\) | −9.08236 | + | 4.04373i | −0.764873 | + | 0.340543i | ||||
\(142\) | 2.84138 | 0.238443 | ||||||||
\(143\) | −9.22157 | + | 7.61332i | −0.771147 | + | 0.636658i | ||||
\(144\) | 2.73743 | 0.228119 | ||||||||
\(145\) | 3.07107 | − | 1.36733i | 0.255039 | − | 0.113550i | ||||
\(146\) | −1.38854 | − | 1.54213i | −0.114916 | − | 0.127628i | ||||
\(147\) | 3.91288 | − | 4.34569i | 0.322729 | − | 0.358427i | ||||
\(148\) | −14.6380 | + | 10.6351i | −1.20323 | + | 0.874200i | ||||
\(149\) | 12.3923 | + | 5.51743i | 1.01522 | + | 0.452005i | 0.845778 | − | 0.533535i | \(-0.179137\pi\) |
0.169442 | + | 0.985540i | \(0.445803\pi\) | |||||||
\(150\) | −1.28904 | + | 1.43162i | −0.105250 | + | 0.116891i | ||||
\(151\) | 2.52659 | − | 7.77606i | 0.205611 | − | 0.632807i | −0.794076 | − | 0.607818i | \(-0.792045\pi\) |
0.999688 | − | 0.0249887i | \(-0.00795499\pi\) | |||||||
\(152\) | 0.973920 | − | 9.26623i | 0.0789954 | − | 0.751591i | ||||
\(153\) | −1.20882 | + | 2.09373i | −0.0977270 | + | 0.169268i | ||||
\(154\) | −0.587240 | − | 1.55664i | −0.0473212 | − | 0.125437i | ||||
\(155\) | 3.56255 | 0.286151 | ||||||||
\(156\) | 6.42299 | − | 0.0979972i | 0.514250 | − | 0.00784606i | ||||
\(157\) | 5.32266 | − | 16.3815i | 0.424795 | − | 1.30738i | −0.478396 | − | 0.878144i | \(-0.658782\pi\) |
0.903191 | − | 0.429240i | \(-0.141218\pi\) | |||||||
\(158\) | 5.21131 | + | 1.10770i | 0.414590 | + | 0.0881237i | ||||
\(159\) | 1.04130 | + | 9.90726i | 0.0825801 | + | 0.785697i | ||||
\(160\) | 4.11950 | + | 1.83412i | 0.325675 | + | 0.145000i | ||||
\(161\) | −2.29533 | − | 7.06429i | −0.180897 | − | 0.556744i | ||||
\(162\) | 0.457096 | − | 0.0971589i | 0.0359129 | − | 0.00763352i | ||||
\(163\) | −1.06091 | + | 10.0939i | −0.0830971 | + | 0.790616i | 0.871033 | + | 0.491224i | \(0.163450\pi\) |
−0.954130 | + | 0.299392i | \(0.903216\pi\) | |||||||
\(164\) | 3.60521 | 0.281519 | ||||||||
\(165\) | 2.77647 | − | 1.39453i | 0.216148 | − | 0.108564i | ||||
\(166\) | 3.85276 | − | 6.67318i | 0.299032 | − | 0.517939i | ||||
\(167\) | 6.66039 | − | 2.96540i | 0.515397 | − | 0.229469i | −0.132520 | − | 0.991180i | \(-0.542307\pi\) |
0.647917 | + | 0.761711i | \(0.275640\pi\) | |||||||
\(168\) | −0.586199 | + | 1.80414i | −0.0452263 | + | 0.139192i | ||||
\(169\) | 12.9939 | − | 0.396597i | 0.999535 | − | 0.0305074i | ||||
\(170\) | −0.856243 | + | 0.622097i | −0.0656708 | + | 0.0477126i | ||||
\(171\) | 0.551114 | + | 5.24350i | 0.0421448 | + | 0.400981i | ||||
\(172\) | −7.18296 | − | 1.52678i | −0.547695 | − | 0.116416i | ||||
\(173\) | −21.8597 | + | 4.64643i | −1.66196 | + | 0.353261i | −0.940658 | − | 0.339355i | \(-0.889791\pi\) |
−0.721306 | + | 0.692616i | \(0.756458\pi\) | |||||||
\(174\) | 1.35667 | + | 0.985681i | 0.102849 | + | 0.0747243i | ||||
\(175\) | 2.21260 | + | 3.83233i | 0.167257 | + | 0.289697i | ||||
\(176\) | 6.38263 | + | 6.45682i | 0.481109 | + | 0.486701i | ||||
\(177\) | 0.627978 | 0.0472017 | ||||||||
\(178\) | 0.502024 | − | 4.77644i | 0.0376283 | − | 0.358009i | ||||
\(179\) | −3.40171 | − | 3.77798i | −0.254255 | − | 0.282379i | 0.602482 | − | 0.798133i | \(-0.294179\pi\) |
−0.856737 | + | 0.515754i | \(0.827512\pi\) | |||||||
\(180\) | −1.63255 | − | 0.347009i | −0.121683 | − | 0.0258645i | ||||
\(181\) | 17.1035 | − | 12.4264i | 1.27130 | − | 0.923651i | 0.272042 | − | 0.962285i | \(-0.412301\pi\) |
0.999253 | + | 0.0386347i | \(0.0123009\pi\) | |||||||
\(182\) | −0.532599 | + | 1.72846i | −0.0394789 | + | 0.128122i | ||||
\(183\) | 1.78143 | + | 5.48268i | 0.131687 | + | 0.405292i | ||||
\(184\) | −8.18226 | − | 9.08732i | −0.603204 | − | 0.669926i | ||||
\(185\) | 8.69126 | − | 3.86960i | 0.638994 | − | 0.284498i | ||||
\(186\) | 0.888563 | + | 1.53904i | 0.0651526 | + | 0.112848i | ||||
\(187\) | −7.75702 | + | 2.03052i | −0.567249 | + | 0.148486i | ||||
\(188\) | 8.85635 | + | 15.3396i | 0.645915 | + | 1.11876i | ||||
\(189\) | 0.112206 | − | 1.06757i | 0.00816178 | − | 0.0776541i | ||||
\(190\) | −0.713245 | + | 2.19514i | −0.0517442 | + | 0.159252i | ||||
\(191\) | 11.1267 | − | 12.3574i | 0.805100 | − | 0.894154i | −0.191072 | − | 0.981576i | \(-0.561196\pi\) |
0.996171 | + | 0.0874224i | \(0.0278630\pi\) | |||||||
\(192\) | −0.337148 | − | 3.20775i | −0.0243316 | − | 0.231500i | ||||
\(193\) | 0.781590 | + | 7.43633i | 0.0562601 | + | 0.535279i | 0.985962 | + | 0.166967i | \(0.0533974\pi\) |
−0.929702 | + | 0.368312i | \(0.879936\pi\) | |||||||
\(194\) | −1.33548 | − | 4.11018i | −0.0958817 | − | 0.295094i | ||||
\(195\) | −3.31419 | − | 0.651773i | −0.237334 | − | 0.0466745i | ||||
\(196\) | −8.42867 | − | 6.12379i | −0.602048 | − | 0.437413i | ||||
\(197\) | −6.51639 | + | 11.2867i | −0.464274 | + | 0.804146i | −0.999168 | − | 0.0407730i | \(-0.987018\pi\) |
0.534895 | + | 0.844919i | \(0.320351\pi\) | |||||||
\(198\) | 1.29494 | + | 0.851625i | 0.0920277 | + | 0.0605224i | ||||
\(199\) | 8.01621 | + | 13.8845i | 0.568254 | + | 0.984245i | 0.996739 | + | 0.0806958i | \(0.0257142\pi\) |
−0.428485 | + | 0.903549i | \(0.640952\pi\) | |||||||
\(200\) | 5.89374 | + | 4.28205i | 0.416750 | + | 0.302787i | ||||
\(201\) | −8.61893 | + | 1.83201i | −0.607933 | + | 0.129220i | ||||
\(202\) | −4.14026 | + | 4.59823i | −0.291308 | + | 0.323530i | ||||
\(203\) | 3.11640 | − | 2.26420i | 0.218728 | − | 0.158915i | ||||
\(204\) | 3.93492 | + | 1.75194i | 0.275500 | + | 0.122660i | ||||
\(205\) | −1.85423 | − | 0.394130i | −0.129505 | − | 0.0275272i | ||||
\(206\) | −4.80982 | − | 5.34185i | −0.335116 | − | 0.372184i | ||||
\(207\) | 5.59807 | + | 4.06724i | 0.389093 | + | 0.282693i | ||||
\(208\) | −1.18131 | − | 9.79898i | −0.0819094 | − | 0.679437i | ||||
\(209\) | −11.0830 | + | 13.5258i | −0.766625 | + | 0.935597i | ||||
\(210\) | 0.234963 | − | 0.406969i | 0.0162140 | − | 0.0280835i | ||||
\(211\) | −0.263562 | + | 0.117345i | −0.0181443 | + | 0.00807837i | −0.415789 | − | 0.909461i | \(-0.636494\pi\) |
0.397644 | + | 0.917540i | \(0.369828\pi\) | |||||||
\(212\) | 17.3604 | − | 3.69007i | 1.19232 | − | 0.253435i | ||||
\(213\) | 1.87892 | + | 5.78272i | 0.128741 | + | 0.396225i | ||||
\(214\) | 2.74244 | + | 1.22101i | 0.187469 | + | 0.0834667i | ||||
\(215\) | 3.52743 | + | 1.57051i | 0.240569 | + | 0.107108i | ||||
\(216\) | −0.546090 | − | 1.68069i | −0.0371567 | − | 0.114357i | ||||
\(217\) | 3.99301 | − | 0.848741i | 0.271063 | − | 0.0576163i | ||||
\(218\) | 6.67452 | − | 2.97169i | 0.452056 | − | 0.201268i | ||||
\(219\) | 2.22031 | − | 3.84570i | 0.150035 | − | 0.259868i | ||||
\(220\) | −2.98798 | − | 4.65981i | −0.201450 | − | 0.314165i | ||||
\(221\) | 8.01644 | + | 3.42358i | 0.539244 | + | 0.230295i | ||||
\(222\) | 3.83944 | + | 2.78952i | 0.257686 | + | 0.187220i | ||||
\(223\) | −9.41871 | − | 10.4605i | −0.630724 | − | 0.700490i | 0.340071 | − | 0.940400i | \(-0.389549\pi\) |
−0.970795 | + | 0.239910i | \(0.922882\pi\) | |||||||
\(224\) | 5.05423 | + | 1.07431i | 0.337700 | + | 0.0717803i | ||||
\(225\) | −3.76601 | − | 1.67674i | −0.251067 | − | 0.111782i | ||||
\(226\) | −3.07332 | + | 2.23290i | −0.204434 | + | 0.148530i | ||||
\(227\) | −9.26176 | + | 10.2862i | −0.614725 | + | 0.682721i | −0.967466 | − | 0.253000i | \(-0.918583\pi\) |
0.352742 | + | 0.935721i | \(0.385249\pi\) | |||||||
\(228\) | 9.18813 | − | 1.95300i | 0.608499 | − | 0.129340i | ||||
\(229\) | −8.01985 | − | 5.82676i | −0.529967 | − | 0.385043i | 0.290379 | − | 0.956912i | \(-0.406219\pi\) |
−0.820345 | + | 0.571869i | \(0.806219\pi\) | |||||||
\(230\) | 1.51461 | + | 2.62338i | 0.0998702 | + | 0.172980i | ||||
\(231\) | 2.77972 | − | 2.22450i | 0.182892 | − | 0.146361i | ||||
\(232\) | 3.17078 | − | 5.49195i | 0.208172 | − | 0.360564i | ||||
\(233\) | 11.6925 | + | 8.49512i | 0.766003 | + | 0.556534i | 0.900746 | − | 0.434347i | \(-0.143021\pi\) |
−0.134743 | + | 0.990881i | \(0.543021\pi\) | |||||||
\(234\) | −0.545049 | − | 1.59431i | −0.0356310 | − | 0.104223i | ||||
\(235\) | −2.87804 | − | 8.85769i | −0.187743 | − | 0.577812i | ||||
\(236\) | −0.116949 | − | 1.11269i | −0.00761270 | − | 0.0724300i | ||||
\(237\) | 1.19172 | + | 11.3384i | 0.0774104 | + | 0.736511i | ||||
\(238\) | −0.811495 | + | 0.901256i | −0.0526014 | + | 0.0584198i | ||||
\(239\) | 5.09581 | − | 15.6833i | 0.329621 | − | 1.01447i | −0.639691 | − | 0.768632i | \(-0.720938\pi\) |
0.969311 | − | 0.245836i | \(-0.0790624\pi\) | |||||||
\(240\) | −0.268054 | + | 2.55036i | −0.0173028 | + | 0.164625i | ||||
\(241\) | 9.43820 | + | 16.3474i | 0.607968 | + | 1.05303i | 0.991575 | + | 0.129535i | \(0.0413484\pi\) |
−0.383607 | + | 0.923496i | \(0.625318\pi\) | |||||||
\(242\) | 1.01057 | + | 5.04008i | 0.0649619 | + | 0.323988i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 9.38281 | − | 4.17749i | 0.600673 | − | 0.267437i | ||||
\(245\) | 3.66558 | + | 4.07103i | 0.234185 | + | 0.260089i | ||||
\(246\) | −0.292214 | − | 0.899341i | −0.0186309 | − | 0.0573399i | ||||
\(247\) | 18.5320 | − | 4.23558i | 1.17916 | − | 0.269503i | ||||
\(248\) | 5.43694 | − | 3.95017i | 0.345246 | − | 0.250836i | ||||
\(249\) | 16.1288 | + | 3.42829i | 1.02212 | + | 0.217259i | ||||
\(250\) | −2.67220 | − | 2.96778i | −0.169005 | − | 0.187699i | ||||
\(251\) | 0.768320 | − | 7.31007i | 0.0484959 | − | 0.461408i | −0.943145 | − | 0.332381i | \(-0.892148\pi\) |
0.991641 | − | 0.129027i | \(-0.0411853\pi\) | |||||||
\(252\) | −1.91248 | −0.120475 | ||||||||
\(253\) | 3.45909 | + | 22.6875i | 0.217471 | + | 1.42635i | ||||
\(254\) | 2.83214 | + | 4.90541i | 0.177704 | + | 0.307793i | ||||
\(255\) | −1.83229 | − | 1.33123i | −0.114742 | − | 0.0833651i | ||||
\(256\) | −1.22036 | + | 0.259396i | −0.0762726 | + | 0.0162122i | ||||
\(257\) | 16.0969 | + | 3.42150i | 1.00410 | + | 0.213427i | 0.680485 | − | 0.732762i | \(-0.261769\pi\) |
0.323612 | + | 0.946190i | \(0.395103\pi\) | |||||||
\(258\) | 0.201336 | + | 1.91558i | 0.0125346 | + | 0.119259i | ||||
\(259\) | 8.81954 | − | 6.40777i | 0.548019 | − | 0.398159i | ||||
\(260\) | −0.537651 | + | 5.99367i | −0.0333437 | + | 0.371712i | ||||
\(261\) | −1.10891 | + | 3.41288i | −0.0686398 | + | 0.211252i | ||||
\(262\) | 3.10622 | − | 1.38298i | 0.191903 | − | 0.0854408i | ||||
\(263\) | −9.57007 | + | 16.5759i | −0.590116 | + | 1.02211i | 0.404100 | + | 0.914715i | \(0.367585\pi\) |
−0.994216 | + | 0.107396i | \(0.965749\pi\) | |||||||
\(264\) | 2.69101 | − | 5.20680i | 0.165620 | − | 0.320457i | ||||
\(265\) | −9.33222 | −0.573274 | ||||||||
\(266\) | −0.276456 | + | 2.63030i | −0.0169506 | + | 0.161274i | ||||
\(267\) | 10.0529 | − | 2.13681i | 0.615227 | − | 0.130770i | ||||
\(268\) | 4.85118 | + | 14.9304i | 0.296333 | + | 0.912019i | ||||
\(269\) | −3.53255 | − | 1.57279i | −0.215383 | − | 0.0958948i | 0.296209 | − | 0.955123i | \(-0.404277\pi\) |
−0.511592 | + | 0.859228i | \(0.670944\pi\) | |||||||
\(270\) | 0.0457597 | + | 0.435375i | 0.00278485 | + | 0.0264961i | ||||
\(271\) | −4.50125 | − | 0.956771i | −0.273432 | − | 0.0581197i | 0.0691550 | − | 0.997606i | \(-0.477970\pi\) |
−0.342587 | + | 0.939486i | \(0.611303\pi\) | |||||||
\(272\) | 2.04510 | − | 6.29418i | 0.124003 | − | 0.381640i | ||||
\(273\) | −3.86992 | + | 0.0590445i | −0.234218 | + | 0.00357353i | ||||
\(274\) | −2.12858 | −0.128592 | ||||||||
\(275\) | −4.82595 | − | 12.7925i | −0.291015 | − | 0.771415i | ||||
\(276\) | 6.16406 | − | 10.6765i | 0.371033 | − | 0.642647i | ||||
\(277\) | −1.85372 | + | 17.6370i | −0.111379 | + | 1.05970i | 0.785934 | + | 0.618310i | \(0.212182\pi\) |
−0.897314 | + | 0.441394i | \(0.854484\pi\) | |||||||
\(278\) | −0.195090 | + | 0.600425i | −0.0117007 | + | 0.0360111i | ||||
\(279\) | −2.54464 | + | 2.82611i | −0.152343 | + | 0.169194i | ||||
\(280\) | −1.62345 | − | 0.722806i | −0.0970196 | − | 0.0431959i | ||||
\(281\) | −25.6196 | + | 18.6138i | −1.52834 | + | 1.11040i | −0.571187 | + | 0.820820i | \(0.693517\pi\) |
−0.957153 | + | 0.289584i | \(0.906483\pi\) | |||||||
\(282\) | 3.10873 | − | 3.45260i | 0.185122 | − | 0.205599i | ||||
\(283\) | −18.1269 | − | 20.1319i | −1.07753 | − | 1.19672i | −0.979481 | − | 0.201536i | \(-0.935407\pi\) |
−0.0980488 | − | 0.995182i | \(-0.531260\pi\) | |||||||
\(284\) | 9.89628 | − | 4.40611i | 0.587236 | − | 0.261454i | ||||
\(285\) | −4.93915 | −0.292570 | ||||||||
\(286\) | 2.48968 | − | 5.00294i | 0.147218 | − | 0.295830i | ||||
\(287\) | −2.17218 | −0.128220 | ||||||||
\(288\) | −4.39743 | + | 1.95786i | −0.259121 | + | 0.115368i | ||||
\(289\) | −7.46419 | − | 8.28982i | −0.439070 | − | 0.487637i | ||||
\(290\) | −1.05117 | + | 1.16745i | −0.0617270 | + | 0.0685548i | ||||
\(291\) | 7.48184 | − | 5.43588i | 0.438593 | − | 0.318657i | ||||
\(292\) | −7.22754 | − | 3.21791i | −0.422960 | − | 0.188314i | ||||
\(293\) | −12.5131 | + | 13.8972i | −0.731022 | + | 0.811882i | −0.987987 | − | 0.154539i | \(-0.950611\pi\) |
0.256965 | + | 0.966421i | \(0.417277\pi\) | |||||||
\(294\) | −0.844445 | + | 2.59894i | −0.0492491 | + | 0.151573i | ||||
\(295\) | −0.0614928 | + | 0.585065i | −0.00358025 | + | 0.0340638i | ||||
\(296\) | 8.97343 | − | 15.5424i | 0.521570 | − | 0.903386i | ||||
\(297\) | −0.876903 | + | 3.19860i | −0.0508830 | + | 0.185602i | ||||
\(298\) | −6.33909 | −0.367214 | ||||||||
\(299\) | 12.1434 | − | 21.7942i | 0.702272 | − | 1.26039i | ||||
\(300\) | −2.26960 | + | 6.98511i | −0.131035 | + | 0.403286i | ||||
\(301\) | 4.32781 | + | 0.919905i | 0.249451 | + | 0.0530225i | ||||
\(302\) | 0.399385 | + | 3.79989i | 0.0229820 | + | 0.218659i | ||||
\(303\) | −12.0961 | − | 5.38551i | −0.694900 | − | 0.309389i | ||||
\(304\) | −4.45997 | − | 13.7264i | −0.255797 | − | 0.787262i | ||||
\(305\) | −5.28247 | + | 1.12282i | −0.302473 | + | 0.0642926i | ||||
\(306\) | 0.118094 | − | 1.12359i | 0.00675099 | − | 0.0642314i | ||||
\(307\) | −21.8159 | −1.24510 | −0.622551 | − | 0.782579i | \(-0.713904\pi\) | ||||
−0.622551 | + | 0.782579i | \(0.713904\pi\) | |||||||
\(308\) | −4.45917 | − | 4.51101i | −0.254085 | − | 0.257038i | ||||
\(309\) | 7.69104 | − | 13.3213i | 0.437528 | − | 0.757820i | ||||
\(310\) | −1.52088 | + | 0.677138i | −0.0863800 | + | 0.0384589i | ||||
\(311\) | 7.80813 | − | 24.0310i | 0.442759 | − | 1.36267i | −0.442164 | − | 0.896934i | \(-0.645789\pi\) |
0.884923 | − | 0.465737i | \(-0.154211\pi\) | |||||||
\(312\) | −5.78060 | + | 2.68009i | −0.327262 | + | 0.151730i | ||||
\(313\) | 2.76214 | − | 2.00681i | 0.156125 | − | 0.113432i | −0.506980 | − | 0.861958i | \(-0.669238\pi\) |
0.663105 | + | 0.748526i | \(0.269238\pi\) | |||||||
\(314\) | 0.841365 | + | 8.00506i | 0.0474810 | + | 0.451752i | ||||
\(315\) | 0.983629 | + | 0.209077i | 0.0554212 | + | 0.0117801i | ||||
\(316\) | 19.8682 | − | 4.22312i | 1.11768 | − | 0.237569i | ||||
\(317\) | −19.7716 | − | 14.3649i | −1.11048 | − | 0.806814i | −0.127745 | − | 0.991807i | \(-0.540774\pi\) |
−0.982740 | + | 0.184993i | \(0.940774\pi\) | |||||||
\(318\) | −2.32762 | − | 4.03156i | −0.130527 | − | 0.226079i | ||||
\(319\) | −10.6356 | + | 5.34191i | −0.595478 | + | 0.299090i | ||||
\(320\) | 3.02157 | 0.168911 | ||||||||
\(321\) | −0.671487 | + | 6.38877i | −0.0374788 | + | 0.356587i | ||||
\(322\) | 2.32261 | + | 2.57952i | 0.129434 | + | 0.143751i | ||||
\(323\) | 12.4681 | + | 2.65018i | 0.693746 | + | 0.147460i | ||||
\(324\) | 1.44136 | − | 1.04721i | 0.0800757 | − | 0.0581784i | ||||
\(325\) | −4.37691 | + | 14.2045i | −0.242787 | + | 0.787925i | ||||
\(326\) | −1.46565 | − | 4.51081i | −0.0811750 | − | 0.249831i | ||||
\(327\) | 10.4616 | + | 11.6188i | 0.578527 | + | 0.642519i | ||||
\(328\) | −3.26683 | + | 1.45449i | −0.180380 | + | 0.0803106i | ||||
\(329\) | −5.33605 | − | 9.24231i | −0.294186 | − | 0.509545i | ||||
\(330\) | −0.920233 | + | 1.12306i | −0.0506572 | + | 0.0618225i | ||||
\(331\) | 4.08824 | + | 7.08105i | 0.224710 | + | 0.389210i | 0.956232 | − | 0.292608i | \(-0.0945231\pi\) |
−0.731522 | + | 0.681818i | \(0.761190\pi\) | |||||||
\(332\) | 3.07078 | − | 29.2166i | 0.168531 | − | 1.60347i | ||||
\(333\) | −3.13826 | + | 9.65858i | −0.171976 | + | 0.529287i | ||||
\(334\) | −2.27973 | + | 2.53190i | −0.124741 | + | 0.138539i | ||||
\(335\) | −0.862838 | − | 8.20935i | −0.0471419 | − | 0.448525i | ||||
\(336\) | 0.307155 | + | 2.92239i | 0.0167567 | + | 0.159429i | ||||
\(337\) | 0.384423 | + | 1.18313i | 0.0209409 | + | 0.0644493i | 0.960981 | − | 0.276615i | \(-0.0892126\pi\) |
−0.940040 | + | 0.341064i | \(0.889213\pi\) | |||||||
\(338\) | −5.47183 | + | 2.63909i | −0.297628 | + | 0.143547i | ||||
\(339\) | −6.57664 | − | 4.77821i | −0.357194 | − | 0.259517i | ||||
\(340\) | −2.01754 | + | 3.49448i | −0.109416 | + | 0.189515i | ||||
\(341\) | −12.5991 | + | 0.587312i | −0.682280 | + | 0.0318047i | ||||
\(342\) | −1.23191 | − | 2.13374i | −0.0666143 | − | 0.115379i | ||||
\(343\) | 11.1574 | + | 8.10635i | 0.602445 | + | 0.437702i | ||||
\(344\) | 7.12474 | − | 1.51441i | 0.384140 | − | 0.0816515i | ||||
\(345\) | −4.33748 | + | 4.81726i | −0.233522 | + | 0.259352i | ||||
\(346\) | 8.44893 | − | 6.13850i | 0.454217 | − | 0.330008i | ||||
\(347\) | 13.2931 | + | 5.91848i | 0.713612 | + | 0.317720i | 0.731236 | − | 0.682124i | \(-0.238944\pi\) |
−0.0176245 | + | 0.999845i | \(0.505610\pi\) | |||||||
\(348\) | 6.25366 | + | 1.32926i | 0.335231 | + | 0.0712556i | ||||
\(349\) | −6.57606 | − | 7.30345i | −0.352008 | − | 0.390945i | 0.540972 | − | 0.841041i | \(-0.318057\pi\) |
−0.892980 | + | 0.450096i | \(0.851390\pi\) | |||||||
\(350\) | −1.67299 | − | 1.21550i | −0.0894251 | − | 0.0649712i | ||||
\(351\) | 2.88428 | − | 2.16354i | 0.153952 | − | 0.115481i | ||||
\(352\) | −14.8712 | − | 5.80732i | −0.792637 | − | 0.309531i | ||||
\(353\) | −1.26142 | + | 2.18485i | −0.0671388 | + | 0.116288i | −0.897641 | − | 0.440728i | \(-0.854720\pi\) |
0.830502 | + | 0.557016i | \(0.188054\pi\) | |||||||
\(354\) | −0.268088 | + | 0.119361i | −0.0142487 | + | 0.00634395i | ||||
\(355\) | −5.57155 | + | 1.18427i | −0.295707 | + | 0.0628545i | ||||
\(356\) | −5.65828 | − | 17.4144i | −0.299888 | − | 0.922961i | ||||
\(357\) | −2.37084 | − | 1.05556i | −0.125478 | − | 0.0558664i | ||||
\(358\) | 2.17030 | + | 0.966279i | 0.114704 | + | 0.0510694i | ||||
\(359\) | 5.99961 | + | 18.4649i | 0.316647 | + | 0.974540i | 0.975071 | + | 0.221893i | \(0.0712235\pi\) |
−0.658424 | + | 0.752647i | \(0.728776\pi\) | |||||||
\(360\) | 1.61932 | − | 0.344196i | 0.0853455 | − | 0.0181407i | ||||
\(361\) | 8.03741 | − | 3.57848i | 0.423021 | − | 0.188341i | ||||
\(362\) | −4.93971 | + | 8.55584i | −0.259626 | + | 0.449685i | ||||
\(363\) | −9.58920 | + | 5.38954i | −0.503303 | + | 0.282878i | ||||
\(364\) | 0.825316 | + | 6.84598i | 0.0432583 | + | 0.358827i | ||||
\(365\) | 3.36548 | + | 2.44517i | 0.176158 | + | 0.127986i | ||||
\(366\) | −1.80261 | − | 2.00200i | −0.0942238 | − | 0.104646i | ||||
\(367\) | −26.6571 | − | 5.66614i | −1.39149 | − | 0.295770i | −0.549603 | − | 0.835426i | \(-0.685221\pi\) |
−0.841886 | + | 0.539656i | \(0.818554\pi\) | |||||||
\(368\) | −17.3043 | − | 7.70436i | −0.902048 | − | 0.401617i | ||||
\(369\) | 1.63709 | − | 1.18941i | 0.0852234 | − | 0.0619184i | ||||
\(370\) | −2.97486 | + | 3.30392i | −0.154656 | + | 0.171763i | ||||
\(371\) | −10.4598 | + | 2.22331i | −0.543048 | + | 0.115428i | ||||
\(372\) | 5.48136 | + | 3.98244i | 0.284195 | + | 0.206480i | ||||
\(373\) | −12.9402 | − | 22.4131i | −0.670020 | − | 1.16051i | −0.977898 | − | 0.209082i | \(-0.932952\pi\) |
0.307879 | − | 0.951426i | \(-0.400381\pi\) | |||||||
\(374\) | 2.92558 | − | 2.34123i | 0.151278 | − | 0.121062i | ||||
\(375\) | 4.27292 | − | 7.40092i | 0.220653 | − | 0.382182i | ||||
\(376\) | −14.2137 | − | 10.3269i | −0.733017 | − | 0.532568i | ||||
\(377\) | 12.6954 | + | 2.49669i | 0.653845 | + | 0.128586i | ||||
\(378\) | 0.155013 | + | 0.477080i | 0.00797299 | + | 0.0245383i | ||||
\(379\) | −0.150988 | − | 1.43655i | −0.00775573 | − | 0.0737908i | 0.989959 | − | 0.141352i | \(-0.0451449\pi\) |
−0.997715 | + | 0.0675611i | \(0.978478\pi\) | |||||||
\(380\) | 0.919820 | + | 8.75151i | 0.0471858 | + | 0.448943i | ||||
\(381\) | −8.11059 | + | 9.00772i | −0.415518 | + | 0.461479i | ||||
\(382\) | −2.40127 | + | 7.39035i | −0.122860 | + | 0.378123i | ||||
\(383\) | −0.373163 | + | 3.55041i | −0.0190677 | + | 0.181417i | −0.999910 | − | 0.0133841i | \(-0.995740\pi\) |
0.980843 | + | 0.194801i | \(0.0624063\pi\) | |||||||
\(384\) | 5.56722 | + | 9.64271i | 0.284101 | + | 0.492078i | ||||
\(385\) | 1.80029 | + | 2.80759i | 0.0917514 | + | 0.143088i | ||||
\(386\) | −1.74710 | − | 3.02607i | −0.0889251 | − | 0.154023i | ||||
\(387\) | −3.76542 | + | 1.67647i | −0.191407 | + | 0.0852199i | ||||
\(388\) | −11.0250 | − | 12.2445i | −0.559708 | − | 0.621619i | ||||
\(389\) | 1.85031 | + | 5.69466i | 0.0938144 | + | 0.288731i | 0.986943 | − | 0.161071i | \(-0.0514947\pi\) |
−0.893129 | + | 0.449802i | \(0.851495\pi\) | |||||||
\(390\) | 1.53874 | − | 0.351686i | 0.0779169 | − | 0.0178083i | ||||
\(391\) | 13.5341 | − | 9.83308i | 0.684448 | − | 0.497280i | ||||
\(392\) | 10.1082 | + | 2.14855i | 0.510539 | + | 0.108518i | ||||
\(393\) | 4.86867 | + | 5.40720i | 0.245592 | + | 0.272757i | ||||
\(394\) | 0.636613 | − | 6.05697i | 0.0320721 | − | 0.305146i | ||||
\(395\) | −10.6803 | −0.537386 | ||||||||
\(396\) | 5.83079 | + | 0.958075i | 0.293008 | + | 0.0481451i | ||||
\(397\) | −10.5275 | − | 18.2342i | −0.528362 | − | 0.915151i | −0.999453 | − | 0.0330658i | \(-0.989473\pi\) |
0.471091 | − | 0.882085i | \(-0.343860\pi\) | |||||||
\(398\) | −6.06122 | − | 4.40374i | −0.303822 | − | 0.220739i | ||||
\(399\) | −5.53596 | + | 1.17670i | −0.277144 | + | 0.0589089i | ||||
\(400\) | 11.0382 | + | 2.34624i | 0.551910 | + | 0.117312i | ||||
\(401\) | 2.49433 | + | 23.7320i | 0.124561 | + | 1.18512i | 0.860996 | + | 0.508611i | \(0.169841\pi\) |
−0.736435 | + | 0.676508i | \(0.763492\pi\) | |||||||
\(402\) | 3.33127 | − | 2.42031i | 0.166149 | − | 0.120714i | ||||
\(403\) | 11.2145 | + | 7.88928i | 0.558636 | + | 0.392993i | ||||
\(404\) | −7.28973 | + | 22.4355i | −0.362678 | + | 1.11621i | ||||
\(405\) | −0.855807 | + | 0.381030i | −0.0425254 | + | 0.0189335i | ||||
\(406\) | −0.900054 | + | 1.55894i | −0.0446690 | + | 0.0773689i | ||||
\(407\) | −30.0991 | + | 15.1178i | −1.49196 | + | 0.749363i | ||||
\(408\) | −4.27240 | −0.211515 | ||||||||
\(409\) | −0.971283 | + | 9.24114i | −0.0480268 | + | 0.456945i | 0.943909 | + | 0.330205i | \(0.107118\pi\) |
−0.991936 | + | 0.126740i | \(0.959549\pi\) | |||||||
\(410\) | 0.866499 | − | 0.184180i | 0.0427933 | − | 0.00909600i | ||||
\(411\) | −1.40757 | − | 4.33205i | −0.0694302 | − | 0.213684i | ||||
\(412\) | −25.0358 | − | 11.1466i | −1.23342 | − | 0.549156i | ||||
\(413\) | 0.0704628 | + | 0.670409i | 0.00346725 | + | 0.0329887i | ||||
\(414\) | −3.16292 | − | 0.672300i | −0.155449 | − | 0.0330417i | ||||
\(415\) | −4.77339 | + | 14.6910i | −0.234316 | + | 0.721152i | ||||
\(416\) | 8.90611 | + | 14.8963i | 0.436658 | + | 0.730351i | ||||
\(417\) | −1.35098 | −0.0661578 | ||||||||
\(418\) | 2.16054 | − | 7.88080i | 0.105675 | − | 0.385463i | ||||
\(419\) | −5.83140 | + | 10.1003i | −0.284882 | + | 0.493431i | −0.972581 | − | 0.232566i | \(-0.925288\pi\) |
0.687698 | + | 0.725997i | \(0.258621\pi\) | |||||||
\(420\) | 0.187274 | − | 1.78179i | 0.00913803 | − | 0.0869425i | ||||
\(421\) | −11.1057 | + | 34.1798i | −0.541258 | + | 1.66582i | 0.188466 | + | 0.982080i | \(0.439649\pi\) |
−0.729724 | + | 0.683742i | \(0.760351\pi\) | |||||||
\(422\) | 0.0902124 | − | 0.100191i | 0.00439147 | − | 0.00487722i | ||||
\(423\) | 9.08236 | + | 4.04373i | 0.441600 | + | 0.196613i | ||||
\(424\) | −14.2423 | + | 10.3476i | −0.691665 | + | 0.502524i | ||||
\(425\) | −6.66887 | + | 7.40653i | −0.323488 | + | 0.359270i | ||||
\(426\) | −1.90125 | − | 2.11156i | −0.0921161 | − | 0.102305i | ||||
\(427\) | −5.65325 | + | 2.51699i | −0.273580 | + | 0.121806i | ||||
\(428\) | 11.4451 | 0.553219 | ||||||||
\(429\) | 11.8282 | + | 1.75866i | 0.571073 | + | 0.0849088i | ||||
\(430\) | −1.80440 | −0.0870157 | ||||||||
\(431\) | 2.46855 | − | 1.09907i | 0.118906 | − | 0.0529403i | −0.346422 | − | 0.938079i | \(-0.612603\pi\) |
0.465327 | + | 0.885139i | \(0.345937\pi\) | |||||||
\(432\) | −1.83170 | − | 2.03430i | −0.0881275 | − | 0.0978755i | ||||
\(433\) | 18.1835 | − | 20.1948i | 0.873841 | − | 0.970499i | −0.125927 | − | 0.992040i | \(-0.540191\pi\) |
0.999768 | + | 0.0215409i | \(0.00685720\pi\) | |||||||
\(434\) | −1.54332 | + | 1.12129i | −0.0740819 | + | 0.0538237i | ||||
\(435\) | −3.07107 | − | 1.36733i | −0.147247 | − | 0.0655584i | ||||
\(436\) | 18.6386 | − | 20.7003i | 0.892627 | − | 0.991363i | ||||
\(437\) | 11.2738 | − | 34.6972i | 0.539299 | − | 1.65979i | ||||
\(438\) | −0.216911 | + | 2.06377i | −0.0103644 | + | 0.0986110i | ||||
\(439\) | −5.01219 | + | 8.68137i | −0.239219 | + | 0.414339i | −0.960490 | − | 0.278313i | \(-0.910225\pi\) |
0.721272 | + | 0.692652i | \(0.243558\pi\) | |||||||
\(440\) | 4.58749 | + | 3.01698i | 0.218700 | + | 0.143829i | ||||
\(441\) | −5.84771 | −0.278462 | ||||||||
\(442\) | −4.07300 | + | 0.0621429i | −0.193733 | + | 0.00295584i | ||||
\(443\) | −11.8370 | + | 36.4307i | −0.562395 | + | 1.73087i | 0.113172 | + | 0.993575i | \(0.463899\pi\) |
−0.675567 | + | 0.737298i | \(0.736101\pi\) | |||||||
\(444\) | 17.6981 | + | 3.76185i | 0.839916 | + | 0.178530i | ||||
\(445\) | 1.00639 | + | 9.57517i | 0.0477075 | + | 0.453906i | ||||
\(446\) | 6.00917 | + | 2.67545i | 0.284542 | + | 0.126686i | ||||
\(447\) | −4.19185 | − | 12.9012i | −0.198268 | − | 0.610205i | ||||
\(448\) | 3.38666 | − | 0.719858i | 0.160005 | − | 0.0340101i | ||||
\(449\) | 0.419959 | − | 3.99564i | 0.0198191 | − | 0.188566i | −0.980133 | − | 0.198341i | \(-0.936445\pi\) |
0.999952 | + | 0.00977470i | \(0.00311143\pi\) | |||||||
\(450\) | 1.92644 | 0.0908131 | ||||||||
\(451\) | 6.62256 | + | 1.08817i | 0.311844 | + | 0.0512401i | ||||
\(452\) | −7.24156 | + | 12.5427i | −0.340614 | + | 0.589961i | ||||
\(453\) | −7.46936 | + | 3.32557i | −0.350941 | + | 0.156249i | ||||
\(454\) | 1.99880 | − | 6.15166i | 0.0938082 | − | 0.288712i | ||||
\(455\) | 0.323941 | − | 3.61125i | 0.0151866 | − | 0.169298i | ||||
\(456\) | −7.53783 | + | 5.47656i | −0.352991 | + | 0.256463i | ||||
\(457\) | −3.07715 | − | 29.2772i | −0.143943 | − | 1.36953i | −0.793201 | − | 0.608960i | \(-0.791587\pi\) |
0.649258 | − | 0.760568i | \(-0.275080\pi\) | |||||||
\(458\) | 4.53123 | + | 0.963144i | 0.211731 | + | 0.0450047i | ||||
\(459\) | 2.36480 | − | 0.502654i | 0.110379 | − | 0.0234619i | ||||
\(460\) | 9.34329 | + | 6.78830i | 0.435633 | + | 0.316506i | ||||
\(461\) | −1.67419 | − | 2.89978i | −0.0779746 | − | 0.135056i | 0.824401 | − | 0.566006i | \(-0.191512\pi\) |
−0.902376 | + | 0.430950i | \(0.858179\pi\) | |||||||
\(462\) | −0.763867 | + | 1.47800i | −0.0355383 | + | 0.0687627i | ||||
\(463\) | 0.889383 | 0.0413331 | 0.0206666 | − | 0.999786i | \(-0.493421\pi\) | ||||
0.0206666 | + | 0.999786i | \(0.493421\pi\) | |||||||
\(464\) | 1.02681 | − | 9.76947i | 0.0476686 | − | 0.453536i | ||||
\(465\) | −2.38381 | − | 2.64749i | −0.110546 | − | 0.122774i | ||||
\(466\) | −6.60630 | − | 1.40421i | −0.306031 | − | 0.0650489i | ||||
\(467\) | 9.39423 | − | 6.82531i | 0.434713 | − | 0.315838i | −0.348818 | − | 0.937191i | \(-0.613417\pi\) |
0.783531 | + | 0.621353i | \(0.213417\pi\) | |||||||
\(468\) | −4.37064 | − | 4.70764i | −0.202033 | − | 0.217611i | ||||
\(469\) | −2.92289 | − | 8.99573i | −0.134967 | − | 0.415384i | ||||
\(470\) | 2.91225 | + | 3.23438i | 0.134332 | + | 0.149191i | ||||
\(471\) | −15.7354 | + | 7.00584i | −0.725047 | + | 0.322812i | ||||
\(472\) | 0.554876 | + | 0.961074i | 0.0255402 | + | 0.0442370i | ||||
\(473\) | −12.7338 | − | 4.97267i | −0.585503 | − | 0.228644i | ||||
\(474\) | −2.66387 | − | 4.61395i | −0.122355 | − | 0.211926i | ||||
\(475\) | −2.27192 | + | 21.6159i | −0.104243 | + | 0.991804i | ||||
\(476\) | −1.42879 | + | 4.39737i | −0.0654886 | + | 0.201553i | ||||
\(477\) | 6.66577 | − | 7.40309i | 0.305205 | − | 0.338964i | ||||
\(478\) | 0.805507 | + | 7.66388i | 0.0368430 | + | 0.350538i | ||||
\(479\) | −1.44140 | − | 13.7140i | −0.0658592 | − | 0.626609i | −0.976812 | − | 0.214098i | \(-0.931319\pi\) |
0.910953 | − | 0.412510i | \(-0.135348\pi\) | |||||||
\(480\) | −1.39347 | − | 4.28865i | −0.0636028 | − | 0.195749i | ||||
\(481\) | 35.9285 | + | 7.06575i | 1.63820 | + | 0.322170i | ||||
\(482\) | −7.13642 | − | 5.18491i | −0.325055 | − | 0.236166i | ||||
\(483\) | −3.71392 | + | 6.43269i | −0.168989 | + | 0.292698i | ||||
\(484\) | 11.3353 | + | 15.9871i | 0.515243 | + | 0.726684i | ||||
\(485\) | 4.33178 | + | 7.50286i | 0.196696 | + | 0.340688i | ||||
\(486\) | −0.378060 | − | 0.274677i | −0.0171492 | − | 0.0124596i | ||||
\(487\) | −3.39883 | + | 0.722444i | −0.154016 | + | 0.0327370i | −0.284274 | − | 0.958743i | \(-0.591753\pi\) |
0.130259 | + | 0.991480i | \(0.458419\pi\) | |||||||
\(488\) | −6.81678 | + | 7.57080i | −0.308581 | + | 0.342714i | ||||
\(489\) | 8.21113 | − | 5.96573i | 0.371320 | − | 0.269780i | ||||
\(490\) | −2.33865 | − | 1.04123i | −0.105649 | − | 0.0470381i | ||||
\(491\) | −17.7998 | − | 3.78346i | −0.803293 | − | 0.170745i | −0.212071 | − | 0.977254i | \(-0.568021\pi\) |
−0.591222 | + | 0.806509i | \(0.701354\pi\) | |||||||
\(492\) | −2.41236 | − | 2.67919i | −0.108757 | − | 0.120787i | ||||
\(493\) | 7.01878 | + | 5.09945i | 0.316110 | + | 0.229667i | ||||
\(494\) | −7.10638 | + | 5.33060i | −0.319731 | + | 0.239835i | ||||
\(495\) | −2.89416 | − | 1.13019i | −0.130083 | − | 0.0507984i | ||||
\(496\) | 5.20508 | − | 9.01546i | 0.233715 | − | 0.404806i | ||||
\(497\) | −5.96262 | + | 2.65473i | −0.267460 | + | 0.119081i | ||||
\(498\) | −7.53714 | + | 1.60207i | −0.337747 | + | 0.0717904i | ||||
\(499\) | −0.988032 | − | 3.04085i | −0.0442304 | − | 0.136127i | 0.926503 | − | 0.376288i | \(-0.122800\pi\) |
−0.970733 | + | 0.240161i | \(0.922800\pi\) | |||||||
\(500\) | −13.9092 | − | 6.19276i | −0.622037 | − | 0.276949i | ||||
\(501\) | −6.66039 | − | 2.96540i | −0.297564 | − | 0.132484i | ||||
\(502\) | 1.06143 | + | 3.26676i | 0.0473742 | + | 0.145803i | ||||
\(503\) | 12.6170 | − | 2.68183i | 0.562565 | − | 0.119577i | 0.0821528 | − | 0.996620i | \(-0.473820\pi\) |
0.480412 | + | 0.877043i | \(0.340487\pi\) | |||||||
\(504\) | 1.73298 | − | 0.771572i | 0.0771930 | − | 0.0343685i | ||||
\(505\) | 6.20196 | − | 10.7421i | 0.275984 | − | 0.478018i | ||||
\(506\) | −5.78896 | − | 9.02800i | −0.257351 | − | 0.401343i | ||||
\(507\) | −8.98938 | − | 9.39101i | −0.399232 | − | 0.417069i | ||||
\(508\) | 17.4709 | + | 12.6933i | 0.775145 | + | 0.563176i | ||||
\(509\) | −4.76343 | − | 5.29032i | −0.211135 | − | 0.234489i | 0.628270 | − | 0.777995i | \(-0.283763\pi\) |
−0.839405 | + | 0.543506i | \(0.817097\pi\) | |||||||
\(510\) | 1.03525 | + | 0.220048i | 0.0458415 | + | 0.00974390i | ||||
\(511\) | 4.35468 | + | 1.93883i | 0.192639 | + | 0.0857686i | ||||
\(512\) | 18.4876 | − | 13.4320i | 0.817044 | − | 0.593617i | ||||
\(513\) | 3.52791 | − | 3.91815i | 0.155761 | − | 0.172990i | ||||
\(514\) | −7.52221 | + | 1.59890i | −0.331791 | + | 0.0705243i | ||||
\(515\) | 11.6578 | + | 8.46992i | 0.513706 | + | 0.373229i | ||||
\(516\) | 3.67171 | + | 6.35959i | 0.161638 | + | 0.279966i | ||||
\(517\) | 11.6386 | + | 30.8512i | 0.511864 | + | 1.35683i | ||||
\(518\) | −2.54719 | + | 4.41187i | −0.111917 | + | 0.193846i | ||||
\(519\) | 18.0800 | + | 13.1359i | 0.793623 | + | 0.576601i | ||||
\(520\) | −1.93090 | − | 5.64802i | −0.0846755 | − | 0.247682i | ||||
\(521\) | −5.84463 | − | 17.9879i | −0.256058 | − | 0.788065i | −0.993619 | − | 0.112785i | \(-0.964023\pi\) |
0.737561 | − | 0.675280i | \(-0.235977\pi\) | |||||||
\(522\) | −0.175288 | − | 1.66775i | −0.00767215 | − | 0.0729956i | ||||
\(523\) | −3.08056 | − | 29.3095i | −0.134703 | − | 1.28162i | −0.827903 | − | 0.560871i | \(-0.810466\pi\) |
0.693200 | − | 0.720746i | \(-0.256200\pi\) | |||||||
\(524\) | 8.67413 | − | 9.63360i | 0.378931 | − | 0.420846i | ||||
\(525\) | 1.36746 | − | 4.20861i | 0.0596809 | − | 0.183679i | ||||
\(526\) | 0.934939 | − | 8.89535i | 0.0407653 | − | 0.387856i | ||||
\(527\) | 4.59701 | + | 7.96225i | 0.200249 | + | 0.346841i | ||||
\(528\) | 0.527540 | − | 9.06368i | 0.0229582 | − | 0.394446i | ||||
\(529\) | −12.4404 | − | 21.5474i | −0.540887 | − | 0.936845i | ||||
\(530\) | 3.98399 | − | 1.77379i | 0.173054 | − | 0.0770484i | ||||
\(531\) | −0.420199 | − | 0.466679i | −0.0182351 | − | 0.0202521i | ||||
\(532\) | 3.11592 | + | 9.58982i | 0.135092 | + | 0.415771i | ||||
\(533\) | −4.96414 | − | 5.34689i | −0.215021 | − | 0.231600i | ||||
\(534\) | −3.88551 | + | 2.82299i | −0.168142 | + | 0.122163i | ||||
\(535\) | −5.88645 | − | 1.25120i | −0.254493 | − | 0.0540942i | ||||
\(536\) | −10.4194 | − | 11.5719i | −0.450049 | − | 0.499829i | ||||
\(537\) | −0.531399 | + | 5.05592i | −0.0229315 | + | 0.218179i | ||||
\(538\) | 1.80701 | 0.0779058 | ||||||||
\(539\) | −13.6346 | − | 13.7931i | −0.587285 | − | 0.594111i | ||||
\(540\) | 0.834510 | + | 1.44541i | 0.0359116 | + | 0.0622007i | ||||
\(541\) | −14.5696 | − | 10.5854i | −0.626395 | − | 0.455103i | 0.228754 | − | 0.973484i | \(-0.426535\pi\) |
−0.855150 | + | 0.518381i | \(0.826535\pi\) | |||||||
\(542\) | 2.10347 | − | 0.447107i | 0.0903519 | − | 0.0192049i | ||||
\(543\) | −20.6791 | − | 4.39549i | −0.887427 | − | 0.188628i | ||||
\(544\) | 1.21645 | + | 11.5737i | 0.0521548 | + | 0.496220i | ||||
\(545\) | −11.8492 | + | 8.60896i | −0.507565 | + | 0.368767i | ||||
\(546\) | 1.64088 | − | 0.760768i | 0.0702230 | − | 0.0325579i | ||||
\(547\) | 3.59795 | − | 11.0733i | 0.153837 | − | 0.473462i | −0.844204 | − | 0.536022i | \(-0.819926\pi\) |
0.998041 | + | 0.0625598i | \(0.0199264\pi\) | |||||||
\(548\) | −7.41366 | + | 3.30078i | −0.316696 | + | 0.141002i | ||||
\(549\) | 2.88242 | − | 4.99249i | 0.123019 | − | 0.213074i | ||||
\(550\) | 4.49171 | + | 4.54393i | 0.191527 | + | 0.193754i | ||||
\(551\) | 18.9200 | 0.806019 | ||||||||
\(552\) | −1.27819 | + | 12.1612i | −0.0544036 | + | 0.517616i | ||||
\(553\) | −11.9708 | + | 2.54448i | −0.509052 | + | 0.108202i | ||||
\(554\) | −2.56092 | − | 7.88170i | −0.108803 | − | 0.334861i | ||||
\(555\) | −8.69126 | − | 3.86960i | −0.368923 | − | 0.164255i | ||||
\(556\) | 0.251593 | + | 2.39375i | 0.0106699 | + | 0.101518i | ||||
\(557\) | 8.54128 | + | 1.81550i | 0.361906 | + | 0.0769254i | 0.385276 | − | 0.922801i | \(-0.374106\pi\) |
−0.0233702 | + | 0.999727i | \(0.507440\pi\) | |||||||
\(558\) | 0.549162 | − | 1.69015i | 0.0232479 | − | 0.0715497i | ||||
\(559\) | 7.62609 | + | 12.7553i | 0.322549 | + | 0.539494i | ||||
\(560\) | −2.75277 | −0.116326 | ||||||||
\(561\) | 6.69943 | + | 4.40591i | 0.282850 | + | 0.186017i | ||||
\(562\) | 7.39927 | − | 12.8159i | 0.312119 | − | 0.540607i | ||||
\(563\) | 0.550777 | − | 5.24030i | 0.0232125 | − | 0.220852i | −0.976766 | − | 0.214308i | \(-0.931250\pi\) |
0.999979 | − | 0.00654399i | \(-0.00208303\pi\) | |||||||
\(564\) | 5.47352 | − | 16.8458i | 0.230477 | − | 0.709335i | ||||
\(565\) | 5.09569 | − | 5.65933i | 0.214377 | − | 0.238090i | ||||
\(566\) | 11.5650 | + | 5.14907i | 0.486113 | + | 0.216431i | ||||
\(567\) | −0.868438 | + | 0.630957i | −0.0364710 | + | 0.0264977i | ||||
\(568\) | −7.18983 | + | 7.98511i | −0.301678 | + | 0.335048i | ||||
\(569\) | −23.4489 | − | 26.0426i | −0.983027 | − | 1.09176i | −0.995773 | − | 0.0918436i | \(-0.970724\pi\) |
0.0127462 | − | 0.999919i | \(-0.495943\pi\) | |||||||
\(570\) | 2.10856 | − | 0.938792i | 0.0883179 | − | 0.0393217i | ||||
\(571\) | −16.1379 | −0.675350 | −0.337675 | − | 0.941263i | \(-0.609640\pi\) | ||||
−0.337675 | + | 0.941263i | \(0.609640\pi\) | |||||||
\(572\) | 0.913327 | − | 21.2855i | 0.0381881 | − | 0.889993i | ||||
\(573\) | −16.6286 | −0.694669 | ||||||||
\(574\) | 0.927320 | − | 0.412869i | 0.0387056 | − | 0.0172328i | ||||
\(575\) | 19.0872 | + | 21.1985i | 0.795993 | + | 0.884039i | ||||
\(576\) | −2.15823 | + | 2.39696i | −0.0899262 | + | 0.0998732i | ||||
\(577\) | −5.07503 | + | 3.68723i | −0.211276 | + | 0.153501i | −0.688391 | − | 0.725340i | \(-0.741683\pi\) |
0.477115 | + | 0.878841i | \(0.341683\pi\) | |||||||
\(578\) | 4.76218 | + | 2.12026i | 0.198080 | + | 0.0881911i | ||||
\(579\) | 5.00329 | − | 5.55671i | 0.207929 | − | 0.230929i | ||||
\(580\) | −1.85079 | + | 5.69616i | −0.0768500 | + | 0.236520i | ||||
\(581\) | −1.85018 | + | 17.6033i | −0.0767585 | + | 0.730308i | ||||
\(582\) | −2.16085 | + | 3.74270i | −0.0895701 | + | 0.155140i | ||||
\(583\) | 33.0038 | − | 1.53849i | 1.36688 | − | 0.0637175i | ||||
\(584\) | 7.84741 | 0.324728 | ||||||||
\(585\) | 1.73326 | + | 2.89904i | 0.0716616 | + | 0.119861i | ||||
\(586\) | 2.70047 | − | 8.31119i | 0.111555 | − | 0.343332i | ||||
\(587\) | 22.9873 | + | 4.88611i | 0.948789 | + | 0.201671i | 0.656217 | − | 0.754572i | \(-0.272155\pi\) |
0.292572 | + | 0.956243i | \(0.405489\pi\) | |||||||
\(588\) | 1.08902 | + | 10.3613i | 0.0449105 | + | 0.427294i | ||||
\(589\) | 18.3169 | + | 8.15521i | 0.754735 | + | 0.336030i | ||||
\(590\) | −0.0849524 | − | 0.261457i | −0.00349744 | − | 0.0107640i | ||||
\(591\) | 12.7480 | − | 2.70967i | 0.524382 | − | 0.111461i | ||||
\(592\) | 2.90592 | − | 27.6480i | 0.119433 | − | 1.13633i | ||||
\(593\) | 9.11249 | 0.374205 | 0.187103 | − | 0.982340i | \(-0.440090\pi\) | ||||
0.187103 | + | 0.982340i | \(0.440090\pi\) | |||||||
\(594\) | −0.233606 | − | 1.53218i | −0.00958498 | − | 0.0628661i | ||||
\(595\) | 1.21559 | − | 2.10546i | 0.0498343 | − | 0.0863155i | ||||
\(596\) | −22.0785 | + | 9.82998i | −0.904370 | + | 0.402652i | ||||
\(597\) | 4.95429 | − | 15.2477i | 0.202766 | − | 0.624048i | ||||
\(598\) | −1.04165 | + | 11.6122i | −0.0425964 | + | 0.474859i | ||||
\(599\) | 33.9571 | − | 24.6713i | 1.38745 | − | 1.00804i | 0.391309 | − | 0.920260i | \(-0.372023\pi\) |
0.996140 | − | 0.0877808i | \(-0.0279775\pi\) | |||||||
\(600\) | −0.761496 | − | 7.24515i | −0.0310879 | − | 0.295782i | ||||
\(601\) | 2.40371 | + | 0.510924i | 0.0980492 | + | 0.0208410i | 0.256675 | − | 0.966498i | \(-0.417373\pi\) |
−0.158626 | + | 0.987339i | \(0.550706\pi\) | |||||||
\(602\) | −2.02242 | + | 0.429879i | −0.0824278 | + | 0.0175206i | ||||
\(603\) | 7.12864 | + | 5.17926i | 0.290301 | + | 0.210916i | ||||
\(604\) | 7.28348 | + | 12.6154i | 0.296361 | + | 0.513312i | ||||
\(605\) | −4.08226 | − | 9.46168i | −0.165967 | − | 0.384672i | ||||
\(606\) | 6.18753 | 0.251351 | ||||||||
\(607\) | −4.38454 | + | 41.7161i | −0.177963 | + | 1.69320i | 0.432879 | + | 0.901452i | \(0.357498\pi\) |
−0.610842 | + | 0.791753i | \(0.709169\pi\) | |||||||
\(608\) | 16.9819 | + | 18.8603i | 0.688708 | + | 0.764888i | ||||
\(609\) | −3.76790 | − | 0.800892i | −0.152683 | − | 0.0324538i | ||||
\(610\) | 2.04171 | − | 1.48339i | 0.0826663 | − | 0.0600606i | ||||
\(611\) | 10.5556 | − | 34.2566i | 0.427036 | − | 1.38587i | ||||
\(612\) | −1.33103 | − | 4.09649i | −0.0538038 | − | 0.165591i | ||||
\(613\) | 31.1350 | + | 34.5789i | 1.25753 | + | 1.39663i | 0.882972 | + | 0.469426i | \(0.155539\pi\) |
0.374559 | + | 0.927203i | \(0.377794\pi\) | |||||||
\(614\) | 9.31339 | − | 4.14659i | 0.375858 | − | 0.167343i | ||||
\(615\) | 0.947829 | + | 1.64169i | 0.0382202 | + | 0.0661993i | ||||
\(616\) | 5.86056 | + | 2.28860i | 0.236129 | + | 0.0922103i | ||||
\(617\) | 16.6736 | + | 28.8795i | 0.671252 | + | 1.16264i | 0.977549 | + | 0.210707i | \(0.0675767\pi\) |
−0.306297 | + | 0.951936i | \(0.599090\pi\) | |||||||
\(618\) | −0.751368 | + | 7.14879i | −0.0302245 | + | 0.287567i | ||||
\(619\) | 1.32065 | − | 4.06456i | 0.0530816 | − | 0.163368i | −0.921001 | − | 0.389559i | \(-0.872627\pi\) |
0.974083 | + | 0.226191i | \(0.0726273\pi\) | |||||||
\(620\) | −4.24705 | + | 4.71682i | −0.170566 | + | 0.189432i | ||||
\(621\) | −0.723295 | − | 6.88169i | −0.0290248 | − | 0.276153i | ||||
\(622\) | 1.23425 | + | 11.7431i | 0.0494889 | + | 0.470855i | ||||
\(623\) | 3.40918 | + | 10.4924i | 0.136586 | + | 0.420368i | ||||
\(624\) | −6.49161 | + | 7.43469i | −0.259872 | + | 0.297626i | ||||
\(625\) | −10.1987 | − | 7.40981i | −0.407949 | − | 0.296393i | ||||
\(626\) | −0.797739 | + | 1.38172i | −0.0318841 | + | 0.0552248i | ||||
\(627\) | 17.4676 | − | 0.814256i | 0.697587 | − | 0.0325183i | ||||
\(628\) | 15.3438 | + | 26.5762i | 0.612284 | + | 1.06051i | ||||
\(629\) | 19.8635 | + | 14.4316i | 0.792008 | + | 0.575427i | ||||
\(630\) | −0.459658 | + | 0.0977033i | −0.0183132 | + | 0.00389259i | ||||
\(631\) | 1.19035 | − | 1.32201i | 0.0473869 | − | 0.0526285i | −0.718985 | − | 0.695025i | \(-0.755393\pi\) |
0.766372 | + | 0.642397i | \(0.222060\pi\) | |||||||
\(632\) | −16.2997 | + | 11.8424i | −0.648365 | + | 0.471065i | ||||
\(633\) | 0.263562 | + | 0.117345i | 0.0104756 | + | 0.00466405i | ||||
\(634\) | 11.1710 | + | 2.37447i | 0.443657 | + | 0.0943023i | ||||
\(635\) | −7.59797 | − | 8.43841i | −0.301516 | − | 0.334868i | ||||
\(636\) | −14.3586 | − | 10.4322i | −0.569357 | − | 0.413662i | ||||
\(637\) | 2.52353 | + | 20.9326i | 0.0999860 | + | 0.829382i | ||||
\(638\) | 3.52506 | − | 4.30202i | 0.139558 | − | 0.170319i | ||||
\(639\) | 3.04016 | − | 5.26570i | 0.120267 | − | 0.208308i | ||||
\(640\) | −9.52893 | + | 4.24255i | −0.376664 | + | 0.167702i | ||||
\(641\) | 8.72036 | − | 1.85357i | 0.344433 | − | 0.0732116i | −0.0324471 | − | 0.999473i | \(-0.510330\pi\) |
0.376881 | + | 0.926262i | \(0.376997\pi\) | |||||||
\(642\) | −0.927661 | − | 2.85505i | −0.0366118 | − | 0.112680i | ||||
\(643\) | −6.04002 | − | 2.68919i | −0.238195 | − | 0.106051i | 0.284168 | − | 0.958775i | \(-0.408283\pi\) |
−0.522363 | + | 0.852723i | \(0.674949\pi\) | |||||||
\(644\) | 12.0895 | + | 5.38259i | 0.476393 | + | 0.212104i | ||||
\(645\) | −1.19319 | − | 3.67227i | −0.0469820 | − | 0.144596i | ||||
\(646\) | −5.82646 | + | 1.23845i | −0.229239 | + | 0.0487263i | ||||
\(647\) | −6.20033 | + | 2.76056i | −0.243760 | + | 0.108529i | −0.524981 | − | 0.851114i | \(-0.675927\pi\) |
0.281220 | + | 0.959643i | \(0.409261\pi\) | |||||||
\(648\) | −0.883592 | + | 1.53043i | −0.0347108 | + | 0.0601208i | ||||
\(649\) | 0.121020 | − | 2.07925i | 0.00475045 | − | 0.0816176i | ||||
\(650\) | −0.831339 | − | 6.89594i | −0.0326078 | − | 0.270481i | ||||
\(651\) | −3.30258 | − | 2.39947i | −0.129438 | − | 0.0940425i | ||||
\(652\) | −12.0996 | − | 13.4380i | −0.473858 | − | 0.526272i | ||||
\(653\) | −28.4059 | − | 6.03786i | −1.11161 | − | 0.236280i | −0.384719 | − | 0.923034i | \(-0.625702\pi\) |
−0.726890 | + | 0.686754i | \(0.759035\pi\) | |||||||
\(654\) | −6.67452 | − | 2.97169i | −0.260994 | − | 0.116202i | ||||
\(655\) | −5.51445 | + | 4.00648i | −0.215467 | + | 0.156546i | ||||
\(656\) | −3.70653 | + | 4.11652i | −0.144716 | + | 0.160723i | ||||
\(657\) | −4.34359 | + | 0.923258i | −0.169460 | + | 0.0360197i | ||||
\(658\) | 4.03470 | + | 2.93138i | 0.157289 | + | 0.114277i | ||||
\(659\) | −23.8671 | − | 41.3390i | −0.929731 | − | 1.61034i | −0.783771 | − | 0.621050i | \(-0.786706\pi\) |
−0.145960 | − | 0.989291i | \(-0.546627\pi\) | |||||||
\(660\) | −1.46357 | + | 5.33853i | −0.0569693 | + | 0.207802i | ||||
\(661\) | 13.5521 | − | 23.4730i | 0.527117 | − | 0.912994i | −0.472383 | − | 0.881393i | \(-0.656606\pi\) |
0.999501 | − | 0.0316005i | \(-0.0100604\pi\) | |||||||
\(662\) | −3.09121 | − | 2.24589i | −0.120143 | − | 0.0872891i | ||||
\(663\) | −2.81983 | − | 8.24820i | −0.109513 | − | 0.320334i | ||||
\(664\) | 9.00457 | + | 27.7132i | 0.349445 | + | 1.07548i | ||||
\(665\) | −0.554202 | − | 5.27288i | −0.0214910 | − | 0.204474i | ||||
\(666\) | −0.496072 | − | 4.71981i | −0.0192224 | − | 0.182889i | ||||
\(667\) | 16.6152 | − | 18.4531i | 0.643343 | − | 0.714505i | ||||
\(668\) | −4.01391 | + | 12.3536i | −0.155303 | + | 0.477973i | ||||
\(669\) | −1.47135 | + | 13.9989i | −0.0568856 | + | 0.541230i | ||||
\(670\) | 1.92872 | + | 3.34063i | 0.0745128 | + | 0.129060i | ||||
\(671\) | 18.4966 | − | 4.84177i | 0.714053 | − | 0.186914i | ||||
\(672\) | −2.58357 | − | 4.47487i | −0.0996634 | − | 0.172622i | ||||
\(673\) | 28.2318 | − | 12.5696i | 1.08826 | − | 0.484523i | 0.217411 | − | 0.976080i | \(-0.430239\pi\) |
0.870845 | + | 0.491557i | \(0.163572\pi\) | |||||||
\(674\) | −0.388993 | − | 0.432020i | −0.0149834 | − | 0.0166408i | ||||
\(675\) | 1.27390 | + | 3.92065i | 0.0490322 | + | 0.150906i | ||||
\(676\) | −14.9655 | + | 17.6768i | −0.575596 | + | 0.679878i | ||||
\(677\) | 4.50395 | − | 3.27231i | 0.173101 | − | 0.125765i | −0.497862 | − | 0.867257i | \(-0.665881\pi\) |
0.670962 | + | 0.741491i | \(0.265881\pi\) | |||||||
\(678\) | 3.71582 | + | 0.789821i | 0.142705 | + | 0.0303329i | ||||
\(679\) | 6.64268 | + | 7.37744i | 0.254922 | + | 0.283120i | ||||
\(680\) | 0.418362 | − | 3.98045i | 0.0160434 | − | 0.152643i | ||||
\(681\) | 13.8415 | 0.530407 | ||||||||
\(682\) | 5.26702 | − | 2.64546i | 0.201685 | − | 0.101300i | ||||
\(683\) | 5.57532 | + | 9.65673i | 0.213334 | + | 0.369505i | 0.952756 | − | 0.303737i | \(-0.0982346\pi\) |
−0.739422 | + | 0.673242i | \(0.764901\pi\) | |||||||
\(684\) | −7.59942 | − | 5.52130i | −0.290571 | − | 0.211112i | ||||
\(685\) | 4.17385 | − | 0.887179i | 0.159475 | − | 0.0338974i | ||||
\(686\) | −6.30398 | − | 1.33995i | −0.240687 | − | 0.0511596i | ||||
\(687\) | 1.03620 | + | 9.85877i | 0.0395335 | + | 0.376136i | ||||
\(688\) | 9.12816 | − | 6.63199i | 0.348008 | − | 0.252842i | ||||
\(689\) | −29.3769 | − | 20.6663i | −1.11917 | − | 0.787322i | ||||
\(690\) | 0.936078 | − | 2.88095i | 0.0356359 | − | 0.109676i | ||||
\(691\) | −32.3138 | + | 14.3870i | −1.22927 | + | 0.547308i | −0.915549 | − | 0.402205i | \(-0.868244\pi\) |
−0.313725 | + | 0.949514i | \(0.601577\pi\) | |||||||
\(692\) | 19.9079 | − | 34.4816i | 0.756786 | − | 1.31079i | ||||
\(693\) | −3.51312 | − | 0.577251i | −0.133452 | − | 0.0219280i | ||||
\(694\) | −6.79986 | −0.258119 | ||||||||
\(695\) | 0.132291 | − | 1.25866i | 0.00501807 | − | 0.0477437i | ||||
\(696\) | −6.20298 | + | 1.31848i | −0.235123 | + | 0.0499770i | ||||
\(697\) | −1.51177 | − | 4.65276i | −0.0572625 | − | 0.176236i | ||||
\(698\) | 4.19555 | + | 1.86798i | 0.158804 | + | 0.0707040i | ||||
\(699\) | −1.51072 | − | 14.3736i | −0.0571408 | − | 0.543659i | ||||
\(700\) | −7.71175 | − | 1.63918i | −0.291477 | − | 0.0619553i | ||||
\(701\) | −13.2487 | + | 40.7754i | −0.500397 | + | 1.54006i | 0.307976 | + | 0.951394i | \(0.400348\pi\) |
−0.808373 | + | 0.588670i | \(0.799652\pi\) | |||||||
\(702\) | −0.820094 | + | 1.47185i | −0.0309524 | + | 0.0555515i | ||||
\(703\) | 53.5444 | 2.01947 | ||||||||
\(704\) | −10.6859 | + | 0.498127i | −0.402740 | + | 0.0187739i | ||||
\(705\) | −4.65676 | + | 8.06575i | −0.175384 | + | 0.303774i | ||||
\(706\) | 0.123233 | − | 1.17249i | 0.00463795 | − | 0.0441272i | ||||
\(707\) | 4.39215 | − | 13.5176i | 0.165184 | − | 0.508383i | ||||
\(708\) | −0.748637 | + | 0.831445i | −0.0281355 | + | 0.0312476i | ||||
\(709\) | −12.9021 | − | 5.74438i | −0.484548 | − | 0.215735i | 0.149898 | − | 0.988701i | \(-0.452105\pi\) |
−0.634447 | + | 0.772967i | \(0.718772\pi\) | |||||||
\(710\) | 2.15344 | − | 1.56457i | 0.0808171 | − | 0.0587171i | ||||
\(711\) | 7.62869 | − | 8.47252i | 0.286098 | − | 0.317744i | ||||
\(712\) | 12.1529 | + | 13.4971i | 0.455448 | + | 0.505827i | ||||
\(713\) | 24.0395 | − | 10.7031i | 0.900287 | − | 0.400834i | ||||
\(714\) | 1.21276 | 0.0453864 | ||||||||
\(715\) | −2.79673 | + | 10.8477i | −0.104592 | + | 0.405683i | ||||
\(716\) | 9.05736 | 0.338489 | ||||||||
\(717\) | −15.0647 | + | 6.70725i | −0.562602 | + | 0.250487i | ||||
\(718\) | −6.07093 | − | 6.74245i | −0.226565 | − | 0.251626i | ||||
\(719\) | −4.53328 | + | 5.03472i | −0.169063 | + | 0.187763i | −0.821722 | − | 0.569888i | \(-0.806987\pi\) |
0.652659 | + | 0.757651i | \(0.273653\pi\) | |||||||
\(720\) | 2.07465 | − | 1.50732i | 0.0773178 | − | 0.0561747i | ||||
\(721\) | 15.0843 | + | 6.71598i | 0.561770 | + | 0.250116i | ||||
\(722\) | −2.75106 | + | 3.05536i | −0.102384 | + | 0.113709i | ||||
\(723\) | 5.83313 | − | 17.9525i | 0.216936 | − | 0.667662i | ||||
\(724\) | −3.93712 | + | 37.4592i | −0.146322 | + | 1.39216i | ||||
\(725\) | −7.39666 | + | 12.8114i | −0.274705 | + | 0.475803i | ||||
\(726\) | 3.06930 | − | 4.12347i | 0.113913 | − | 0.153036i | ||||
\(727\) | −27.0608 | −1.00363 | −0.501815 | − | 0.864975i | \(-0.667334\pi\) | ||||
−0.501815 | + | 0.864975i | \(0.667334\pi\) | |||||||
\(728\) | −3.50980 | − | 5.87046i | −0.130082 | − | 0.217574i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | −1.90151 | − | 0.404178i | −0.0703779 | − | 0.0149593i | ||||
\(731\) | 1.04162 | + | 9.91032i | 0.0385256 | + | 0.366546i | ||||
\(732\) | −9.38281 | − | 4.17749i | −0.346798 | − | 0.154405i | ||||
\(733\) | 7.38622 | + | 22.7324i | 0.272816 | + | 0.839642i | 0.989789 | + | 0.142541i | \(0.0455271\pi\) |
−0.716973 | + | 0.697101i | \(0.754473\pi\) | |||||||
\(734\) | 12.4571 | − | 2.64783i | 0.459799 | − | 0.0977333i | ||||
\(735\) | 0.572619 | − | 5.44811i | 0.0211214 | − | 0.200956i | ||||
\(736\) | 33.3081 | 1.22775 | ||||||||
\(737\) | 4.40484 | + | 28.8905i | 0.162254 | + | 1.06420i | ||||
\(738\) | −0.472812 | + | 0.818934i | −0.0174044 | + | 0.0301454i | ||||
\(739\) | −36.1724 | + | 16.1050i | −1.33062 | + | 0.592432i | −0.944043 | − | 0.329823i | \(-0.893011\pi\) |
−0.386581 | + | 0.922255i | \(0.626344\pi\) | |||||||
\(740\) | −5.23782 | + | 16.1204i | −0.192546 | + | 0.592596i | ||||
\(741\) | −15.5480 | − | 10.9378i | −0.571169 | − | 0.401810i | ||||
\(742\) | 4.04280 | − | 2.93726i | 0.148416 | − | 0.107830i | ||||
\(743\) | 3.24580 | + | 30.8817i | 0.119077 | + | 1.13294i | 0.876965 | + | 0.480555i | \(0.159565\pi\) |
−0.757888 | + | 0.652385i | \(0.773769\pi\) | |||||||
\(744\) | −6.57357 | − | 1.39725i | −0.240999 | − | 0.0512258i | ||||
\(745\) | 12.4301 | − | 2.64209i | 0.455402 | − | 0.0967987i | ||||
\(746\) | 9.78437 | + | 7.10876i | 0.358231 | + | 0.260270i | ||||
\(747\) | −8.24459 | − | 14.2800i | −0.301654 | − | 0.522479i | ||||
\(748\) | 6.55902 | − | 12.6910i | 0.239822 | − | 0.464028i | ||||
\(749\) | −6.89580 | −0.251967 | ||||||||
\(750\) | −0.417439 | + | 3.97167i | −0.0152427 | + | 0.145025i | ||||
\(751\) | 24.4314 | + | 27.1338i | 0.891514 | + | 0.990127i | 0.999992 | − | 0.00397213i | \(-0.00126437\pi\) |
−0.108478 | + | 0.994099i | \(0.534598\pi\) | |||||||
\(752\) | −26.6205 | − | 5.65835i | −0.970748 | − | 0.206339i | ||||
\(753\) | −5.94655 | + | 4.32042i | −0.216704 | + | 0.157445i | ||||
\(754\) | −5.89430 | + | 1.34717i | −0.214658 | + | 0.0490611i | ||||
\(755\) | −2.36691 | − | 7.28459i | −0.0861406 | − | 0.265113i | ||||
\(756\) | 1.27970 | + | 1.42125i | 0.0465422 | + | 0.0516904i | ||||
\(757\) | 37.3589 | − | 16.6333i | 1.35783 | − | 0.604547i | 0.406767 | − | 0.913532i | \(-0.366656\pi\) |
0.951067 | + | 0.308985i | \(0.0999894\pi\) | |||||||
\(758\) | 0.337506 | + | 0.584577i | 0.0122588 | + | 0.0212328i | ||||
\(759\) | 14.5455 | − | 17.7515i | 0.527969 | − | 0.644339i | ||||
\(760\) | −4.36420 | − | 7.55901i | −0.158306 | − | 0.274194i | ||||
\(761\) | 3.46514 | − | 32.9686i | 0.125611 | − | 1.19511i | −0.732179 | − | 0.681112i | \(-0.761497\pi\) |
0.857791 | − | 0.513999i | \(-0.171837\pi\) | |||||||
\(762\) | 1.75036 | − | 5.38705i | 0.0634088 | − | 0.195152i | ||||
\(763\) | −11.2300 | + | 12.4721i | −0.406552 | + | 0.451522i | ||||
\(764\) | 3.09675 | + | 29.4636i | 0.112036 | + | 1.06595i | ||||
\(765\) | 0.236739 | + | 2.25242i | 0.00855933 | + | 0.0814365i | ||||
\(766\) | −0.515525 | − | 1.58662i | −0.0186267 | − | 0.0573270i | ||||
\(767\) | −1.48920 | + | 1.70555i | −0.0537720 | + | 0.0615839i | ||||
\(768\) | 1.00935 | + | 0.733336i | 0.0364218 | + | 0.0264620i | ||||
\(769\) | 10.1408 | − | 17.5643i | 0.365686 | − | 0.633386i | −0.623200 | − | 0.782062i | \(-0.714168\pi\) |
0.988886 | + | 0.148676i | \(0.0475012\pi\) | |||||||
\(770\) | −1.30220 | − | 0.856397i | −0.0469281 | − | 0.0308624i | ||||
\(771\) | −8.22825 | − | 14.2518i | −0.296333 | − | 0.513264i | ||||
\(772\) | −10.7775 | − | 7.83031i | −0.387891 | − | 0.281819i | ||||
\(773\) | −36.7099 | + | 7.80293i | −1.32036 | + | 0.280652i | −0.813596 | − | 0.581431i | \(-0.802493\pi\) |
−0.506767 | + | 0.862083i | \(0.669160\pi\) | |||||||
\(774\) | 1.28884 | − | 1.43140i | 0.0463262 | − | 0.0514505i | ||||
\(775\) | −12.6831 | + | 9.21478i | −0.455589 | + | 0.331005i | ||||
\(776\) | 14.9301 | + | 6.64731i | 0.535959 | + | 0.238625i | ||||
\(777\) | −10.6633 | − | 2.26656i | −0.382545 | − | 0.0813124i | ||||
\(778\) | −1.87230 | − | 2.07940i | −0.0671253 | − | 0.0745502i | ||||
\(779\) | −8.63136 | − | 6.27105i | −0.309251 | − | 0.224684i | ||||
\(780\) | 4.81392 | − | 3.61099i | 0.172366 | − | 0.129294i | ||||
\(781\) | 19.5088 | − | 5.10673i | 0.698080 | − | 0.182733i | ||||
\(782\) | −3.90881 | + | 6.77026i | −0.139779 | + | 0.242104i | ||||
\(783\) | 3.27827 | − | 1.45958i | 0.117156 | − | 0.0521611i | ||||
\(784\) | 15.6579 | − | 3.32818i | 0.559209 | − | 0.118864i | ||||
\(785\) | −4.98626 | − | 15.3461i | −0.177967 | − | 0.547726i | ||||
\(786\) | −3.10622 | − | 1.38298i | −0.110795 | − | 0.0493293i | ||||
\(787\) | −16.9842 | − | 7.56187i | −0.605423 | − | 0.269552i | 0.0810466 | − | 0.996710i | \(-0.474174\pi\) |
−0.686469 | + | 0.727159i | \(0.740840\pi\) | |||||||
\(788\) | −7.17522 | − | 22.0831i | −0.255607 | − | 0.786677i | ||||
\(789\) | 18.7219 | − | 3.97946i | 0.666517 | − | 0.141673i | ||||
\(790\) | 4.55951 | − | 2.03003i | 0.162220 | − | 0.0722251i | ||||
\(791\) | 4.36312 | − | 7.55715i | 0.155135 | − | 0.268701i | ||||
\(792\) | −5.67004 | + | 1.48422i | −0.201476 | + | 0.0527396i | ||||
\(793\) | −19.1152 | − | 8.16352i | −0.678800 | − | 0.289895i | ||||
\(794\) | 7.96010 | + | 5.78335i | 0.282493 | + | 0.205243i | ||||
\(795\) | 6.24447 | + | 6.93519i | 0.221469 | + | 0.245966i | ||||
\(796\) | −27.9395 | − | 5.93873i | −0.990291 | − | 0.210493i | ||||
\(797\) | 3.90073 | + | 1.73672i | 0.138171 | + | 0.0615177i | 0.474657 | − | 0.880171i | \(-0.342572\pi\) |
−0.336486 | + | 0.941688i | \(0.609239\pi\) | |||||||
\(798\) | 2.13968 | − | 1.55457i | 0.0757439 | − | 0.0550312i | ||||
\(799\) | 16.0831 | − | 17.8621i | 0.568979 | − | 0.631915i | ||||
\(800\) | −19.4100 | + | 4.12572i | −0.686246 | + | 0.145866i | ||||
\(801\) | −8.31465 | − | 6.04095i | −0.293784 | − | 0.213446i | ||||
\(802\) | −5.57562 | − | 9.65726i | −0.196882 | − | 0.341010i | ||||
\(803\) | −12.3053 | − | 8.09263i | −0.434245 | − | 0.285583i | ||||
\(804\) | 7.84937 | − | 13.5955i | 0.276826 | − | 0.479477i | ||||
\(805\) | −5.62944 | − | 4.09003i | −0.198412 | − | 0.144155i | ||||
\(806\) | −6.28710 | − | 1.23643i | −0.221453 | − | 0.0435514i | ||||
\(807\) | 1.19492 | + | 3.67760i | 0.0420633 | + | 0.129458i | ||||
\(808\) | −2.44585 | − | 23.2707i | −0.0860447 | − | 0.818661i | ||||
\(809\) | 3.12246 | + | 29.7082i | 0.109780 | + | 1.04449i | 0.901256 | + | 0.433286i | \(0.142646\pi\) |
−0.791477 | + | 0.611200i | \(0.790687\pi\) | |||||||
\(810\) | 0.292927 | − | 0.325329i | 0.0102924 | − | 0.0114309i | ||||
\(811\) | −10.6181 | + | 32.6791i | −0.372851 | + | 1.14752i | 0.572066 | + | 0.820208i | \(0.306142\pi\) |
−0.944917 | + | 0.327310i | \(0.893858\pi\) | |||||||
\(812\) | −0.717374 | + | 6.82536i | −0.0251749 | + | 0.239523i | ||||
\(813\) | 2.30091 | + | 3.98529i | 0.0806963 | + | 0.139770i | ||||
\(814\) | 9.97607 | − | 12.1749i | 0.349661 | − | 0.426730i | ||||
\(815\) | 4.75402 | + | 8.23420i | 0.166526 | + | 0.288431i | ||||
\(816\) | −6.04592 | + | 2.69182i | −0.211650 | + | 0.0942325i | ||||
\(817\) | 14.5412 | + | 16.1497i | 0.508733 | + | 0.565005i | ||||
\(818\) | −1.34183 | − | 4.12972i | −0.0469159 | − | 0.144392i | ||||
\(819\) | 2.63336 | + | 2.83640i | 0.0920171 | + | 0.0991120i | ||||
\(820\) | 2.73233 | − | 1.98516i | 0.0954172 | − | 0.0693246i | ||||
\(821\) | 3.42699 | + | 0.728429i | 0.119603 | + | 0.0254224i | 0.267324 | − | 0.963607i | \(-0.413861\pi\) |
−0.147721 | + | 0.989029i | \(0.547194\pi\) | |||||||
\(822\) | 1.42430 | + | 1.58184i | 0.0496781 | + | 0.0551732i | ||||
\(823\) | −0.522237 | + | 4.96875i | −0.0182040 | + | 0.173200i | −0.999846 | − | 0.0175315i | \(-0.994419\pi\) |
0.981642 | + | 0.190731i | \(0.0610859\pi\) | |||||||
\(824\) | 27.1829 | 0.946963 | ||||||||
\(825\) | −6.27747 | + | 12.1462i | −0.218553 | + | 0.422877i | ||||
\(826\) | −0.157507 | − | 0.272810i | −0.00548036 | − | 0.00949226i | ||||
\(827\) | −39.2481 | − | 28.5154i | −1.36479 | − | 0.991578i | −0.998124 | − | 0.0612247i | \(-0.980499\pi\) |
−0.366665 | − | 0.930353i | \(-0.619501\pi\) | |||||||
\(828\) | −12.0587 | + | 2.56316i | −0.419069 | + | 0.0890759i | ||||
\(829\) | −39.4834 | − | 8.39246i | −1.37132 | − | 0.291482i | −0.537379 | − | 0.843341i | \(-0.680585\pi\) |
−0.833938 | + | 0.551859i | \(0.813919\pi\) | |||||||
\(830\) | −0.754540 | − | 7.17897i | −0.0261905 | − | 0.249186i | ||||
\(831\) | 14.3472 | − | 10.4239i | 0.497699 | − | 0.361600i | ||||
\(832\) | 9.51159 | + | 6.69128i | 0.329755 | + | 0.231978i | ||||
\(833\) | −4.36876 | + | 13.4457i | −0.151369 | + | 0.465865i | ||||
\(834\) | 0.576743 | − | 0.256783i | 0.0199710 | − | 0.00889166i | ||||
\(835\) | 3.41496 | − | 5.91488i | 0.118179 | − | 0.204693i | ||||
\(836\) | −4.69574 | − | 30.7985i | −0.162405 | − | 1.06519i | ||||
\(837\) | 3.80290 | 0.131447 | ||||||||
\(838\) | 0.569693 | − | 5.42026i | 0.0196797 | − | 0.187240i | ||||
\(839\) | −20.1273 | + | 4.27818i | −0.694870 | + | 0.147699i | −0.541789 | − | 0.840515i | \(-0.682253\pi\) |
−0.153081 | + | 0.988214i | \(0.548919\pi\) | |||||||
\(840\) | 0.549150 | + | 1.69011i | 0.0189475 | + | 0.0583143i | ||||
\(841\) | −14.7287 | − | 6.55765i | −0.507887 | − | 0.226126i | ||||
\(842\) | −1.75550 | − | 16.7025i | −0.0604986 | − | 0.575606i | ||||
\(843\) | 30.9756 | + | 6.58407i | 1.06686 | + | 0.226767i | ||||
\(844\) | 0.158836 | − | 0.488848i | 0.00546738 | − | 0.0168269i | ||||
\(845\) | 9.62954 | − | 7.45550i | 0.331266 | − | 0.256477i | ||||
\(846\) | −4.64593 | −0.159730 | ||||||||
\(847\) | −6.82967 | − | 9.63239i | −0.234670 | − | 0.330973i | ||||
\(848\) | −13.6349 | + | 23.6163i | −0.468224 | + | 0.810988i | ||||
\(849\) | −2.83169 | + | 26.9418i | −0.0971835 | + | 0.924639i | ||||
\(850\) | 1.43922 | − | 4.42946i | 0.0493648 | − | 0.151929i | ||||
\(851\) | 47.0217 | − | 52.2229i | 1.61188 | − | 1.79018i | ||||
\(852\) | −9.89628 | − | 4.40611i | −0.339041 | − | 0.150951i | ||||
\(853\) | −35.4270 | + | 25.7392i | −1.21300 | + | 0.881293i | −0.995499 | − | 0.0947681i | \(-0.969789\pi\) |
−0.217496 | + | 0.976061i | \(0.569789\pi\) | |||||||
\(854\) | 1.93501 | − | 2.14904i | 0.0662145 | − | 0.0735387i | ||||
\(855\) | 3.30494 | + | 3.67051i | 0.113027 | + | 0.125529i | ||||
\(856\) | −10.3709 | + | 4.61741i | −0.354469 | + | 0.157820i | ||||
\(857\) | 10.8476 | 0.370548 | 0.185274 | − | 0.982687i | \(-0.440683\pi\) | ||||
0.185274 | + | 0.982687i | \(0.440683\pi\) | |||||||
\(858\) | −5.38383 | + | 1.49742i | −0.183801 | + | 0.0511212i | ||||
\(859\) | −41.2734 | −1.40823 | −0.704115 | − | 0.710086i | \(-0.748656\pi\) | ||||
−0.704115 | + | 0.710086i | \(0.748656\pi\) | |||||||
\(860\) | −6.28455 | + | 2.79806i | −0.214302 | + | 0.0954132i | ||||
\(861\) | 1.45347 | + | 1.61424i | 0.0495342 | + | 0.0550133i | ||||
\(862\) | −0.844940 | + | 0.938401i | −0.0287788 | + | 0.0319621i | ||||
\(863\) | 19.4469 | − | 14.1290i | 0.661979 | − | 0.480956i | −0.205351 | − | 0.978688i | \(-0.565834\pi\) |
0.867331 | + | 0.497732i | \(0.165834\pi\) | |||||||
\(864\) | 4.39743 | + | 1.95786i | 0.149604 | + | 0.0666079i | ||||
\(865\) | −14.0087 | + | 15.5582i | −0.476309 | + | 0.528995i | ||||
\(866\) | −3.92420 | + | 12.0774i | −0.133350 | + | 0.410408i | ||||
\(867\) | −1.16602 | + | 11.0939i | −0.0396001 | + | 0.376770i | ||||
\(868\) | −3.63649 | + | 6.29858i | −0.123430 | + | 0.213788i | ||||
\(869\) | 37.7715 | − | 1.76073i | 1.28131 | − | 0.0597287i | ||||
\(870\) | 1.57095 | 0.0532603 | ||||||||
\(871\) | 15.4635 | − | 27.7530i | 0.523962 | − | 0.940374i | ||||
\(872\) | −8.53789 | + | 26.2769i | −0.289129 | + | 0.889849i | ||||
\(873\) | −9.04597 | − | 1.92278i | −0.306160 | − | 0.0650763i | ||||
\(874\) | 1.78207 | + | 16.9553i | 0.0602796 | + | 0.573522i | ||||
\(875\) | 8.38043 | + | 3.73121i | 0.283310 | + | 0.126138i | ||||
\(876\) | 2.44480 | + | 7.52431i | 0.0826020 | + | 0.254223i | ||||
\(877\) | 39.5292 | − | 8.40220i | 1.33481 | − | 0.283722i | 0.515408 | − | 0.856945i | \(-0.327640\pi\) |
0.819399 | + | 0.573223i | \(0.194307\pi\) | |||||||
\(878\) | 0.489661 | − | 4.65882i | 0.0165253 | − | 0.157227i | ||||
\(879\) | 18.7005 | 0.630752 | ||||||||
\(880\) | 8.39265 | + | 1.37902i | 0.282916 | + | 0.0464869i | ||||
\(881\) | −17.2816 | + | 29.9326i | −0.582233 | + | 1.00846i | 0.412982 | + | 0.910739i | \(0.364487\pi\) |
−0.995214 | + | 0.0977170i | \(0.968846\pi\) | |||||||
\(882\) | 2.49643 | − | 1.11148i | 0.0840592 | − | 0.0374256i | ||||
\(883\) | −8.43026 | + | 25.9457i | −0.283701 | + | 0.873142i | 0.703084 | + | 0.711107i | \(0.251806\pi\) |
−0.986785 | + | 0.162035i | \(0.948194\pi\) | |||||||
\(884\) | −14.0895 | + | 6.53241i | −0.473883 | + | 0.219709i | ||||
\(885\) | 0.475935 | − | 0.345787i | 0.0159984 | − | 0.0116235i | ||||
\(886\) | −1.87111 | − | 17.8024i | −0.0628611 | − | 0.598084i | ||||
\(887\) | 23.3049 | + | 4.95361i | 0.782502 | + | 0.166326i | 0.581806 | − | 0.813328i | \(-0.302346\pi\) |
0.200696 | + | 0.979654i | \(0.435680\pi\) | |||||||
\(888\) | −17.5547 | + | 3.73136i | −0.589097 | + | 0.125216i | ||||
\(889\) | −10.5264 | − | 7.64788i | −0.353044 | − | 0.256502i | ||||
\(890\) | −2.24960 | − | 3.89642i | −0.0754068 | − | 0.130608i | ||||
\(891\) | 2.96379 | − | 1.48862i | 0.0992905 | − | 0.0498705i | ||||
\(892\) | 25.0782 | 0.839680 | ||||||||
\(893\) | 5.47911 | − | 52.1303i | 0.183352 | − | 1.74447i | ||||
\(894\) | 4.24168 | + | 4.71086i | 0.141863 | + | 0.157555i | ||||
\(895\) | −4.65839 | − | 0.990171i | −0.155713 | − | 0.0330978i | ||||
\(896\) | −9.66958 | + | 7.02536i | −0.323038 | + | 0.234701i | ||||
\(897\) | −24.3218 | + | 5.55887i | −0.812081 | + | 0.185605i | ||||
\(898\) | 0.580174 | + | 1.78559i | 0.0193606 | + | 0.0595859i | ||||
\(899\) | 9.13145 | + | 10.1415i | 0.304551 | + | 0.338238i | ||||
\(900\) | 6.70961 | − | 2.98731i | 0.223654 | − | 0.0995770i | ||||
\(901\) | −12.0420 | − | 20.8574i | −0.401178 | − | 0.694861i | ||||
\(902\) | −3.03405 | + | 0.794210i | −0.101023 | + | 0.0264443i | ||||
\(903\) | −2.21225 | − | 3.83173i | −0.0736191 | − | 0.127512i | ||||
\(904\) | 1.50163 | − | 14.2870i | 0.0499434 | − | 0.475180i | ||||
\(905\) | 6.12007 | − | 18.8356i | 0.203438 | − | 0.626118i | ||||
\(906\) | 2.55663 | − | 2.83942i | 0.0849383 | − | 0.0943335i | ||||
\(907\) | 2.23611 | + | 21.2752i | 0.0742488 | + | 0.706430i | 0.966809 | + | 0.255501i | \(0.0822405\pi\) |
−0.892560 | + | 0.450929i | \(0.851093\pi\) | |||||||
\(908\) | −2.57770 | − | 24.5252i | −0.0855441 | − | 0.813898i | ||||
\(909\) | 4.09163 | + | 12.5927i | 0.135711 | + | 0.417674i | ||||
\(910\) | 0.548104 | + | 1.60324i | 0.0181695 | + | 0.0531470i | ||||
\(911\) | −30.1551 | − | 21.9090i | −0.999084 | − | 0.725877i | −0.0371924 | − | 0.999308i | \(-0.511841\pi\) |
−0.961892 | + | 0.273431i | \(0.911841\pi\) | |||||||
\(912\) | −7.21638 | + | 12.4991i | −0.238958 | + | 0.413888i | ||||
\(913\) | 14.4594 | − | 52.7423i | 0.478536 | − | 1.74551i | ||||
\(914\) | 6.87841 | + | 11.9138i | 0.227518 | + | 0.394072i | ||||
\(915\) | 4.36908 | + | 3.17432i | 0.144437 | + | 0.104940i | ||||
\(916\) | 17.2754 | − | 3.67201i | 0.570796 | − | 0.121326i | ||||
\(917\) | −5.22626 | + | 5.80435i | −0.172586 | + | 0.191677i | ||||
\(918\) | −0.914011 | + | 0.664068i | −0.0301668 | + | 0.0219175i | ||||
\(919\) | −12.4190 | − | 5.52930i | −0.409666 | − | 0.182395i | 0.191548 | − | 0.981483i | \(-0.438649\pi\) |
−0.601214 | + | 0.799088i | \(0.705316\pi\) | |||||||
\(920\) | −11.2050 | − | 2.38170i | −0.369418 | − | 0.0785223i | ||||
\(921\) | 14.5977 | + | 16.2124i | 0.481011 | + | 0.534217i | ||||
\(922\) | 1.26589 | + | 0.919721i | 0.0416898 | + | 0.0302894i | ||||
\(923\) | −20.1612 | − | 8.61027i | −0.663615 | − | 0.283410i | ||||
\(924\) | −0.368561 | + | 6.33226i | −0.0121248 | + | 0.208316i | ||||
\(925\) | −20.9328 | + | 36.2567i | −0.688268 | + | 1.19211i | ||||
\(926\) | −0.379684 | + | 0.169046i | −0.0124772 | + | 0.00555520i | ||||
\(927\) | −15.0459 | + | 3.19811i | −0.494173 | + | 0.105040i | ||||
\(928\) | 5.33784 | + | 16.4282i | 0.175223 | + | 0.539281i | ||||
\(929\) | −40.8712 | − | 18.1970i | −1.34094 | − | 0.597025i | −0.394201 | − | 0.919024i | \(-0.628979\pi\) |
−0.946740 | + | 0.321999i | \(0.895645\pi\) | |||||||
\(930\) | 1.52088 | + | 0.677138i | 0.0498715 | + | 0.0222042i | ||||
\(931\) | 9.52742 | + | 29.3224i | 0.312248 | + | 0.961002i | ||||
\(932\) | −25.1867 | + | 5.35359i | −0.825017 | + | 0.175363i | ||||
\(933\) | −23.0832 | + | 10.2773i | −0.755708 | + | 0.336463i | ||||
\(934\) | −2.71317 | + | 4.69935i | −0.0887776 | + | 0.153767i | ||||
\(935\) | −4.76085 | + | 5.81019i | −0.155696 | + | 0.190014i | ||||
\(936\) | 5.85967 | + | 2.50249i | 0.191529 | + | 0.0817965i | ||||
\(937\) | 23.0481 | + | 16.7455i | 0.752950 | + | 0.547050i | 0.896740 | − | 0.442558i | \(-0.145929\pi\) |
−0.143790 | + | 0.989608i | \(0.545929\pi\) | |||||||
\(938\) | 2.95764 | + | 3.28479i | 0.0965702 | + | 0.107252i | ||||
\(939\) | −3.33958 | − | 0.709849i | −0.108983 | − | 0.0231651i | ||||
\(940\) | 15.1586 | + | 6.74906i | 0.494420 | + | 0.220130i | ||||
\(941\) | 24.0767 | − | 17.4928i | 0.784879 | − | 0.570248i | −0.121560 | − | 0.992584i | \(-0.538790\pi\) |
0.906439 | + | 0.422336i | \(0.138790\pi\) | |||||||
\(942\) | 5.38593 | − | 5.98169i | 0.175483 | − | 0.194894i | ||||
\(943\) | −13.6962 | + | 2.91122i | −0.446009 | + | 0.0948022i | ||||
\(944\) | 1.39074 | + | 1.01043i | 0.0452646 | + | 0.0328866i | ||||
\(945\) | −0.502802 | − | 0.870878i | −0.0163561 | − | 0.0283297i | ||||
\(946\) | 6.38133 | − | 0.297468i | 0.207475 | − | 0.00967152i | ||||
\(947\) | −7.90282 | + | 13.6881i | −0.256807 | + | 0.444803i | −0.965385 | − | 0.260830i | \(-0.916004\pi\) |
0.708578 | + | 0.705633i | \(0.249337\pi\) | |||||||
\(948\) | −16.4328 | − | 11.9392i | −0.533714 | − | 0.387766i | ||||
\(949\) | 5.17937 | + | 15.1500i | 0.168129 | + | 0.491791i | ||||
\(950\) | −3.13866 | − | 9.65980i | −0.101832 | − | 0.313405i | ||||
\(951\) | 2.55458 | + | 24.3052i | 0.0828378 | + | 0.788149i | ||||
\(952\) | −0.479388 | − | 4.56108i | −0.0155371 | − | 0.147825i | ||||
\(953\) | −33.2299 | + | 36.9055i | −1.07642 | + | 1.19549i | −0.0966609 | + | 0.995317i | \(0.530816\pi\) |
−0.979761 | + | 0.200170i | \(0.935850\pi\) | |||||||
\(954\) | −1.43855 | + | 4.42740i | −0.0465748 | + | 0.143343i | ||||
\(955\) | 1.62830 | − | 15.4923i | 0.0526907 | − | 0.501318i | ||||
\(956\) | 14.6898 | + | 25.4435i | 0.475103 | + | 0.822903i | ||||
\(957\) | 11.0864 | + | 4.32933i | 0.358372 | + | 0.139947i | ||||
\(958\) | 3.22198 | + | 5.58064i | 0.104098 | + | 0.180302i | ||||
\(959\) | 4.46682 | − | 1.98876i | 0.144241 | − | 0.0642203i | ||||
\(960\) | −2.02182 | − | 2.24546i | −0.0652540 | − | 0.0724720i | ||||
\(961\) | −5.11051 | − | 15.7285i | −0.164855 | − | 0.507372i | ||||
\(962\) | −16.6811 | + | 3.81255i | −0.537821 | + | 0.122922i | ||||
\(963\) | 5.19710 | − | 3.77591i | 0.167474 | − | 0.121677i | ||||
\(964\) | −32.8957 | − | 6.99220i | −1.05950 | − | 0.225204i | ||||
\(965\) | 4.68706 | + | 5.20551i | 0.150882 | + | 0.167571i | ||||
\(966\) | 0.362827 | − | 3.45207i | 0.0116738 | − | 0.111069i | ||||
\(967\) | −11.9835 | −0.385364 | −0.192682 | − | 0.981261i | \(-0.561719\pi\) | ||||
−0.192682 | + | 0.981261i | \(0.561719\pi\) | |||||||
\(968\) | −16.7212 | − | 9.91341i | −0.537441 | − | 0.318629i | ||||
\(969\) | −6.37334 | − | 11.0390i | −0.204741 | − | 0.354622i | ||||
\(970\) | −3.27535 | − | 2.37968i | −0.105165 | − | 0.0764069i | ||||
\(971\) | 43.5883 | − | 9.26499i | 1.39882 | − | 0.297328i | 0.554059 | − | 0.832477i | \(-0.313078\pi\) |
0.844757 | + | 0.535150i | \(0.179745\pi\) | |||||||
\(972\) | −1.74269 | − | 0.370420i | −0.0558968 | − | 0.0118812i | ||||
\(973\) | −0.151588 | − | 1.44226i | −0.00485969 | − | 0.0462368i | ||||
\(974\) | 1.31367 | − | 0.954437i | 0.0420927 | − | 0.0305821i | ||||
\(975\) | 13.4847 | − | 6.25200i | 0.431857 | − | 0.200224i | ||||
\(976\) | −4.87654 | + | 15.0084i | −0.156094 | + | 0.480408i | ||||
\(977\) | 30.1420 | − | 13.4201i | 0.964329 | − | 0.429347i | 0.136694 | − | 0.990613i | \(-0.456352\pi\) |
0.827635 | + | 0.561267i | \(0.189686\pi\) | |||||||
\(978\) | −2.37148 | + | 4.10752i | −0.0758314 | + | 0.131344i | ||||
\(979\) | −5.13768 | − | 33.6971i | −0.164201 | − | 1.07696i | ||||
\(980\) | −9.75994 | −0.311770 | ||||||||
\(981\) | 1.63426 | − | 15.5489i | 0.0521779 | − | 0.496440i | ||||
\(982\) | 8.31799 | − | 1.76804i | 0.265438 | − | 0.0564205i | ||||
\(983\) | 11.7319 | + | 36.1071i | 0.374189 | + | 1.15164i | 0.944024 | + | 0.329877i | \(0.107007\pi\) |
−0.569835 | + | 0.821759i | \(0.692993\pi\) | |||||||
\(984\) | 3.26683 | + | 1.45449i | 0.104143 | + | 0.0463673i | ||||
\(985\) | 1.27620 | + | 12.1422i | 0.0406630 | + | 0.386882i | ||||
\(986\) | −3.96563 | − | 0.842921i | −0.126291 | − | 0.0268441i | ||||
\(987\) | −3.29786 | + | 10.1498i | −0.104972 | + | 0.323071i | ||||
\(988\) | −16.4848 | + | 29.5858i | −0.524450 | + | 0.941250i | ||||
\(989\) | 28.5209 | 0.906913 | ||||||||
\(990\) | 1.45035 | − | 0.0676088i | 0.0460953 | − | 0.00214875i | ||||
\(991\) | 12.3086 | − | 21.3191i | 0.390995 | − | 0.677223i | −0.601586 | − | 0.798808i | \(-0.705464\pi\) |
0.992581 | + | 0.121585i | \(0.0387978\pi\) | |||||||
\(992\) | −1.91346 | + | 18.2053i | −0.0607523 | + | 0.578019i | ||||
\(993\) | 2.52667 | − | 7.77630i | 0.0801816 | − | 0.246774i | ||||
\(994\) | 2.04090 | − | 2.26665i | 0.0647334 | − | 0.0718937i | ||||
\(995\) | 13.7207 | + | 6.10883i | 0.434974 | + | 0.193663i | ||||
\(996\) | −23.7669 | + | 17.2677i | −0.753083 | + | 0.547147i | ||||
\(997\) | 17.2879 | − | 19.2002i | 0.547515 | − | 0.608077i | −0.404347 | − | 0.914606i | \(-0.632501\pi\) |
0.951861 | + | 0.306529i | \(0.0991677\pi\) | |||||||
\(998\) | 0.999777 | + | 1.11036i | 0.0316474 | + | 0.0351480i | ||||
\(999\) | 9.27763 | − | 4.13067i | 0.293531 | − | 0.130689i |
(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 | 429.2.bg.a.334.7 | yes | 112 | |
11.3 | even | 5 | inner | 429.2.bg.a.256.8 | ✓ | 112 | |
13.3 | even | 3 | inner | 429.2.bg.a.367.8 | yes | 112 | |
143.3 | even | 15 | inner | 429.2.bg.a.289.7 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bg.a.256.8 | ✓ | 112 | 11.3 | even | 5 | inner | |
429.2.bg.a.289.7 | yes | 112 | 143.3 | even | 15 | inner | |
429.2.bg.a.334.7 | yes | 112 | 1.1 | even | 1 | trivial | |
429.2.bg.a.367.8 | yes | 112 | 13.3 | even | 3 | inner |