Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [720,2,Mod(179,720)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(720, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("720.179");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 720 = 2^{4} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 720.u (of order \(4\), degree \(2\), 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: | \(5.74922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(48\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 179.12 | ||
Character | \(\chi\) | \(=\) | 720.179 |
Dual form | 720.2.u.a.539.12 |
$q$-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 \(\left(\mathbb{Z}/720\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(271\) | \(577\) | \(641\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.04776 | − | 0.949842i | −0.740878 | − | 0.671640i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.195601 | + | 1.99041i | 0.0978005 | + | 0.995206i | ||||
\(5\) | 2.18619 | − | 0.469629i | 0.977696 | − | 0.210025i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 2.94937i | − | 1.11476i | −0.830259 | − | 0.557378i | \(-0.811807\pi\) | ||
0.830259 | − | 0.557378i | \(-0.188193\pi\) | |||||||
\(8\) | 1.68563 | − | 2.27126i | 0.595962 | − | 0.803013i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.73668 | − | 1.58448i | −0.865414 | − | 0.501057i | ||||
\(11\) | 3.81783 | − | 3.81783i | 1.15112 | − | 1.15112i | 0.164792 | − | 0.986328i | \(-0.447305\pi\) |
0.986328 | − | 0.164792i | \(-0.0526952\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.772847 | + | 0.772847i | −0.214349 | + | 0.214349i | −0.806112 | − | 0.591763i | \(-0.798432\pi\) |
0.591763 | + | 0.806112i | \(0.298432\pi\) | |||||||
\(14\) | −2.80143 | + | 3.09023i | −0.748714 | + | 0.825898i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.92348 | + | 0.778653i | −0.980870 | + | 0.194663i | ||||
\(17\) | 2.27916 | 0.552778 | 0.276389 | − | 0.961046i | \(-0.410862\pi\) | ||||
0.276389 | + | 0.961046i | \(0.410862\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.18129 | + | 5.18129i | −1.18867 | + | 1.18867i | −0.211233 | + | 0.977436i | \(0.567748\pi\) |
−0.977436 | + | 0.211233i | \(0.932252\pi\) | |||||||
\(20\) | 1.36238 | + | 4.25957i | 0.304637 | + | 0.952469i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.62651 | + | 0.373835i | −1.62598 | + | 0.0797018i | ||||
\(23\) | −2.63370 | −0.549164 | −0.274582 | − | 0.961564i | \(-0.588539\pi\) | ||||
−0.274582 | + | 0.961564i | \(0.588539\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.55890 | − | 2.05340i | 0.911779 | − | 0.410681i | ||||
\(26\) | 1.54384 | − | 0.0756756i | 0.302772 | − | 0.0148412i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 5.87045 | − | 0.576899i | 1.10941 | − | 0.109024i | ||||
\(29\) | 3.25626 | − | 3.25626i | 0.604673 | − | 0.604673i | −0.336876 | − | 0.941549i | \(-0.609370\pi\) |
0.941549 | + | 0.336876i | \(0.109370\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 1.93666i | − | 0.347835i | −0.984760 | − | 0.173917i | \(-0.944357\pi\) | ||
0.984760 | − | 0.173917i | \(-0.0556426\pi\) | |||||||
\(32\) | 4.85046 | + | 2.91084i | 0.857449 | + | 0.514569i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.38802 | − | 2.16484i | −0.409541 | − | 0.371268i | ||||
\(35\) | −1.38511 | − | 6.44789i | −0.234126 | − | 1.08989i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.66367 | − | 2.66367i | −0.437904 | − | 0.437904i | 0.453402 | − | 0.891306i | \(-0.350210\pi\) |
−0.891306 | + | 0.453402i | \(0.850210\pi\) | |||||||
\(38\) | 10.3501 | − | 0.507341i | 1.67902 | − | 0.0823016i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.61847 | − | 5.75705i | 0.414017 | − | 0.910269i | ||||
\(41\) | −1.01630 | −0.158719 | −0.0793596 | − | 0.996846i | \(-0.525288\pi\) | ||||
−0.0793596 | + | 0.996846i | \(0.525288\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.46535 | − | 4.46535i | 0.680959 | − | 0.680959i | −0.279257 | − | 0.960216i | \(-0.590088\pi\) |
0.960216 | + | 0.279257i | \(0.0900882\pi\) | |||||||
\(44\) | 8.34584 | + | 6.85229i | 1.25818 | + | 1.03302i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.75948 | + | 2.50160i | 0.406864 | + | 0.368840i | ||||
\(47\) | − | 6.93871i | − | 1.01211i | −0.862500 | − | 0.506057i | \(-0.831102\pi\) | ||
0.862500 | − | 0.506057i | \(-0.168898\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.69876 | −0.242680 | ||||||||
\(50\) | −6.72704 | − | 2.17876i | −0.951347 | − | 0.308123i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.68945 | − | 1.38711i | −0.234285 | − | 0.192358i | ||||
\(53\) | −9.01752 | + | 9.01752i | −1.23865 | + | 1.23865i | −0.278099 | + | 0.960552i | \(0.589704\pi\) |
−0.960552 | + | 0.278099i | \(0.910296\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.55356 | − | 10.1395i | 0.883682 | − | 1.36721i | ||||
\(56\) | −6.69879 | − | 4.97155i | −0.895163 | − | 0.664351i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.50472 | + | 0.318847i | −0.854111 | + | 0.0418666i | ||||
\(59\) | 2.82309 | − | 2.82309i | 0.367536 | − | 0.367536i | −0.499042 | − | 0.866578i | \(-0.666315\pi\) |
0.866578 | + | 0.499042i | \(0.166315\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 10.8603 | + | 10.8603i | 1.39052 | + | 1.39052i | 0.824154 | + | 0.566365i | \(0.191651\pi\) |
0.566365 | + | 0.824154i | \(0.308349\pi\) | |||||||
\(62\) | −1.83952 | + | 2.02916i | −0.233620 | + | 0.257703i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.31728 | − | 7.65704i | −0.289660 | − | 0.957130i | ||||
\(65\) | −1.32664 | + | 2.05255i | −0.164550 | + | 0.254587i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.21414 | − | 7.21414i | −0.881347 | − | 0.881347i | 0.112324 | − | 0.993672i | \(-0.464170\pi\) |
−0.993672 | + | 0.112324i | \(0.964170\pi\) | |||||||
\(68\) | 0.445807 | + | 4.53647i | 0.0540620 | + | 0.550128i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.67321 | + | 8.07147i | −0.558556 | + | 0.964726i | ||||
\(71\) | − | 8.03085i | − | 0.953087i | −0.879151 | − | 0.476543i | \(-0.841890\pi\) | ||
0.879151 | − | 0.476543i | \(-0.158110\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.58003 | −0.184929 | −0.0924645 | − | 0.995716i | \(-0.529474\pi\) | ||||
−0.0924645 | + | 0.995716i | \(0.529474\pi\) | |||||||
\(74\) | 0.260821 | + | 5.32095i | 0.0303198 | + | 0.618548i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −11.3264 | − | 9.29943i | −1.29922 | − | 1.06672i | ||||
\(77\) | −11.2602 | − | 11.2602i | −1.28322 | − | 1.28322i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.288222i | 0.0324275i | 0.999869 | + | 0.0162137i | \(0.00516122\pi\) | ||||
−0.999869 | + | 0.0162137i | \(0.994839\pi\) | |||||||
\(80\) | −8.21181 | + | 3.54487i | −0.918109 | + | 0.396329i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.06484 | + | 0.965323i | 0.117592 | + | 0.106602i | ||||
\(83\) | 8.90062 | − | 8.90062i | 0.976970 | − | 0.976970i | −0.0227710 | − | 0.999741i | \(-0.507249\pi\) |
0.999741 | + | 0.0227710i | \(0.00724886\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.98270 | − | 1.07036i | 0.540449 | − | 0.116097i | ||||
\(86\) | −8.91999 | + | 0.437238i | −0.961867 | + | 0.0471486i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.23584 | − | 15.1068i | −0.238341 | − | 1.61039i | ||||
\(89\) | 6.44258 | 0.682912 | 0.341456 | − | 0.939898i | \(-0.389080\pi\) | ||||
0.341456 | + | 0.939898i | \(0.389080\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.27941 | + | 2.27941i | 0.238947 | + | 0.238947i | ||||
\(92\) | −0.515154 | − | 5.24214i | −0.0537085 | − | 0.546531i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.59067 | + | 7.27010i | −0.679776 | + | 0.749853i | ||||
\(95\) | −8.89402 | + | 13.7606i | −0.912507 | + | 1.41181i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 18.1267i | 1.84049i | 0.391342 | + | 0.920245i | \(0.372011\pi\) | ||||
−0.391342 | + | 0.920245i | \(0.627989\pi\) | |||||||
\(98\) | 1.77989 | + | 1.61355i | 0.179796 | + | 0.162994i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.97884 | + | 8.67243i | 0.497884 | + | 0.867243i | ||||
\(101\) | −11.2655 | − | 11.2655i | −1.12096 | − | 1.12096i | −0.991598 | − | 0.129357i | \(-0.958709\pi\) |
−0.129357 | − | 0.991598i | \(-0.541291\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.58275i | 0.451552i | 0.974179 | + | 0.225776i | \(0.0724918\pi\) | ||||
−0.974179 | + | 0.225776i | \(0.927508\pi\) | |||||||
\(104\) | 0.452603 | + | 3.05808i | 0.0443813 | + | 0.299869i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 18.0134 | − | 0.882977i | 1.74962 | − | 0.0857623i | ||||
\(107\) | 2.70168 | + | 2.70168i | 0.261181 | + | 0.261181i | 0.825534 | − | 0.564353i | \(-0.190874\pi\) |
−0.564353 | + | 0.825534i | \(0.690874\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.05700 | + | 5.05700i | 0.484372 | + | 0.484372i | 0.906525 | − | 0.422152i | \(-0.138725\pi\) |
−0.422152 | + | 0.906525i | \(0.638725\pi\) | |||||||
\(110\) | −16.4975 | + | 4.39891i | −1.57297 | + | 0.419420i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.29653 | + | 11.5718i | 0.217002 | + | 1.09343i | ||||
\(113\) | −11.0909 | −1.04334 | −0.521672 | − | 0.853146i | \(-0.674691\pi\) | ||||
−0.521672 | + | 0.853146i | \(0.674691\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.75778 | + | 1.23686i | −0.536915 | + | 0.115338i | ||||
\(116\) | 7.11824 | + | 5.84438i | 0.660912 | + | 0.542637i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.63942 | + | 0.276432i | −0.519150 | + | 0.0254476i | ||||
\(119\) | − | 6.72209i | − | 0.616213i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | − | 18.1517i | − | 1.65016i | ||||||
\(122\) | −1.06342 | − | 21.6946i | −0.0962774 | − | 1.96413i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.85475 | − | 0.378813i | 0.346167 | − | 0.0340184i | ||||
\(125\) | 9.00230 | − | 6.63013i | 0.805190 | − | 0.593017i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.4288 | −0.925403 | −0.462701 | − | 0.886514i | \(-0.653120\pi\) | ||||
−0.462701 | + | 0.886514i | \(0.653120\pi\) | |||||||
\(128\) | −4.84502 | + | 10.2238i | −0.428244 | + | 0.903663i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.33960 | − | 0.890475i | 0.292902 | − | 0.0780998i | ||||
\(131\) | 13.5532 | + | 13.5532i | 1.18415 | + | 1.18415i | 0.978659 | + | 0.205491i | \(0.0658791\pi\) |
0.205491 | + | 0.978659i | \(0.434121\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 15.2815 | + | 15.2815i | 1.32507 | + | 1.32507i | ||||
\(134\) | 0.706394 | + | 14.4110i | 0.0610231 | + | 1.24492i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.84183 | − | 5.17658i | 0.329435 | − | 0.443888i | ||||
\(137\) | 7.61130i | 0.650278i | 0.945666 | + | 0.325139i | \(0.105411\pi\) | ||||
−0.945666 | + | 0.325139i | \(0.894589\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.68008 | + | 1.68008i | 0.142502 | + | 0.142502i | 0.774759 | − | 0.632257i | \(-0.217871\pi\) |
−0.632257 | + | 0.774759i | \(0.717871\pi\) | |||||||
\(140\) | 12.5630 | − | 4.01815i | 1.06177 | − | 0.339596i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.62804 | + | 8.41440i | −0.640131 | + | 0.706121i | ||||
\(143\) | 5.90120i | 0.493484i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.58959 | − | 8.64807i | 0.464190 | − | 0.718183i | ||||
\(146\) | 1.65550 | + | 1.50078i | 0.137010 | + | 0.124206i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.78078 | − | 5.82281i | 0.392978 | − | 0.478632i | ||||
\(149\) | 13.1900 | + | 13.1900i | 1.08057 | + | 1.08057i | 0.996456 | + | 0.0841097i | \(0.0268046\pi\) |
0.0841097 | + | 0.996456i | \(0.473195\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.8005 | −1.20444 | −0.602222 | − | 0.798329i | \(-0.705718\pi\) | ||||
−0.602222 | + | 0.798329i | \(0.705718\pi\) | |||||||
\(152\) | 3.03432 | + | 20.5018i | 0.246116 | + | 1.66292i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.10257 | + | 22.4934i | 0.0888480 | + | 1.81257i | ||||
\(155\) | −0.909513 | − | 4.23392i | −0.0730539 | − | 0.340077i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.2112 | − | 10.2112i | 0.814942 | − | 0.814942i | −0.170428 | − | 0.985370i | \(-0.554515\pi\) |
0.985370 | + | 0.170428i | \(0.0545151\pi\) | |||||||
\(158\) | 0.273765 | − | 0.301987i | 0.0217796 | − | 0.0240248i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 11.9711 | + | 4.08575i | 0.946397 | + | 0.323007i | ||||
\(161\) | 7.76774i | 0.612184i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.3893 | + | 11.3893i | 0.892077 | + | 0.892077i | 0.994718 | − | 0.102641i | \(-0.0327294\pi\) |
−0.102641 | + | 0.994718i | \(0.532729\pi\) | |||||||
\(164\) | −0.198789 | − | 2.02285i | −0.0155228 | − | 0.157958i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −17.7799 | + | 0.871530i | −1.37999 | + | 0.0676439i | ||||
\(167\) | 10.0783 | 0.779880 | 0.389940 | − | 0.920840i | \(-0.372496\pi\) | ||||
0.389940 | + | 0.920840i | \(0.372496\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.8054i | 0.908109i | ||||||||
\(170\) | −6.23734 | − | 3.61129i | −0.478382 | − | 0.276973i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.76131 | + | 8.01446i | 0.744293 | + | 0.611097i | ||||
\(173\) | −9.02442 | − | 9.02442i | −0.686114 | − | 0.686114i | 0.275257 | − | 0.961371i | \(-0.411237\pi\) |
−0.961371 | + | 0.275257i | \(0.911237\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.05624 | − | 13.4459i | −0.457809 | − | 1.01641i | ||||
\(176\) | −12.0064 | + | 17.9520i | −0.905019 | + | 1.35318i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.75028 | − | 6.11943i | −0.505955 | − | 0.458671i | ||||
\(179\) | 10.3226 | + | 10.3226i | 0.771547 | + | 0.771547i | 0.978377 | − | 0.206830i | \(-0.0663146\pi\) |
−0.206830 | + | 0.978377i | \(0.566315\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.9184 | − | 13.9184i | 1.03455 | − | 1.03455i | 0.0351674 | − | 0.999381i | \(-0.488804\pi\) |
0.999381 | − | 0.0351674i | \(-0.0111964\pi\) | |||||||
\(182\) | −0.223195 | − | 4.55335i | −0.0165443 | − | 0.337517i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.43945 | + | 5.98182i | −0.327281 | + | 0.440986i | ||||
\(185\) | −7.07423 | − | 4.57236i | −0.520108 | − | 0.336167i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.70147 | − | 8.70147i | 0.636314 | − | 0.636314i | ||||
\(188\) | 13.8109 | − | 1.35722i | 1.00726 | − | 0.0989853i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 22.3892 | − | 5.96988i | 1.62428 | − | 0.433100i | ||||
\(191\) | −12.3885 | −0.896403 | −0.448202 | − | 0.893932i | \(-0.647935\pi\) | ||||
−0.448202 | + | 0.893932i | \(0.647935\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 23.2784i | 1.67562i | 0.545965 | + | 0.837808i | \(0.316163\pi\) | ||||
−0.545965 | + | 0.837808i | \(0.683837\pi\) | |||||||
\(194\) | 17.2175 | − | 18.9925i | 1.23615 | − | 1.36358i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.332279 | − | 3.38123i | −0.0237342 | − | 0.241517i | ||||
\(197\) | 0.494769 | − | 0.494769i | 0.0352508 | − | 0.0352508i | −0.689262 | − | 0.724513i | \(-0.742065\pi\) |
0.724513 | + | 0.689262i | \(0.242065\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.97860 | 0.211147 | 0.105574 | − | 0.994411i | \(-0.466332\pi\) | ||||
0.105574 | + | 0.994411i | \(0.466332\pi\) | |||||||
\(200\) | 3.02081 | − | 13.8157i | 0.213603 | − | 0.976920i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.10309 | + | 22.5039i | 0.0776132 | + | 1.58337i | ||||
\(203\) | −9.60392 | − | 9.60392i | −0.674063 | − | 0.674063i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.22183 | + | 0.477284i | −0.155179 | + | 0.0333349i | ||||
\(206\) | 4.35289 | − | 4.80163i | 0.303280 | − | 0.334545i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.43047 | − | 3.63403i | 0.168523 | − | 0.251975i | ||||
\(209\) | 39.5626i | 2.73660i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.97252 | + | 9.97252i | −0.686537 | + | 0.686537i | −0.961465 | − | 0.274928i | \(-0.911346\pi\) |
0.274928 | + | 0.961465i | \(0.411346\pi\) | |||||||
\(212\) | −19.7124 | − | 16.1847i | −1.35385 | − | 1.11157i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.264543 | − | 5.39688i | −0.0180838 | − | 0.368923i | ||||
\(215\) | 7.66506 | − | 11.8592i | 0.522753 | − | 0.808790i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.71192 | −0.387751 | ||||||||
\(218\) | −0.495171 | − | 10.1019i | −0.0335372 | − | 0.684185i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 21.4637 | + | 11.0610i | 1.44708 | + | 0.745732i | ||||
\(221\) | −1.76144 | + | 1.76144i | −0.118488 | + | 0.118488i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.35577 | −0.0907889 | −0.0453945 | − | 0.998969i | \(-0.514454\pi\) | ||||
−0.0453945 | + | 0.998969i | \(0.514454\pi\) | |||||||
\(224\) | 8.58514 | − | 14.3058i | 0.573619 | − | 0.955846i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 11.6206 | + | 10.5346i | 0.772990 | + | 0.700751i | ||||
\(227\) | −0.282506 | + | 0.282506i | −0.0187506 | + | 0.0187506i | −0.716420 | − | 0.697669i | \(-0.754220\pi\) |
0.697669 | + | 0.716420i | \(0.254220\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.61973 | − | 3.61973i | 0.239199 | − | 0.239199i | −0.577320 | − | 0.816518i | \(-0.695901\pi\) |
0.816518 | + | 0.577320i | \(0.195901\pi\) | |||||||
\(230\) | 7.20759 | + | 4.17304i | 0.475254 | + | 0.275162i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.90697 | − | 12.8847i | −0.125198 | − | 0.845922i | ||||
\(233\) | 19.3142i | 1.26531i | 0.774432 | + | 0.632657i | \(0.218036\pi\) | ||||
−0.774432 | + | 0.632657i | \(0.781964\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.25862 | − | 15.1694i | −0.212569 | − | 0.989540i | ||||
\(236\) | 6.17132 | + | 5.06692i | 0.401719 | + | 0.329828i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −6.38492 | + | 7.04313i | −0.413873 | + | 0.456538i | ||||
\(239\) | −12.7616 | −0.825481 | −0.412740 | − | 0.910849i | \(-0.635428\pi\) | ||||
−0.412740 | + | 0.910849i | \(0.635428\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.03963 | −0.582294 | −0.291147 | − | 0.956678i | \(-0.594037\pi\) | ||||
−0.291147 | + | 0.956678i | \(0.594037\pi\) | |||||||
\(242\) | −17.2413 | + | 19.0186i | −1.10831 | + | 1.22256i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −19.4922 | + | 23.7408i | −1.24786 | + | 1.51985i | ||||
\(245\) | −3.71382 | + | 0.797788i | −0.237267 | + | 0.0509688i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 8.00868i | − | 0.509580i | ||||||
\(248\) | −4.39867 | − | 3.26450i | −0.279316 | − | 0.207296i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −15.7298 | − | 1.60397i | −0.994841 | − | 0.101444i | ||||
\(251\) | −7.63101 | + | 7.63101i | −0.481665 | + | 0.481665i | −0.905663 | − | 0.423998i | \(-0.860626\pi\) |
0.423998 | + | 0.905663i | \(0.360626\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.0550 | + | 10.0550i | −0.632154 | + | 0.632154i | ||||
\(254\) | 10.9268 | + | 9.90567i | 0.685611 | + | 0.621537i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.7874 | − | 6.11006i | 0.924212 | − | 0.381879i | ||||
\(257\) | 9.14111 | 0.570207 | 0.285103 | − | 0.958497i | \(-0.407972\pi\) | ||||
0.285103 | + | 0.958497i | \(0.407972\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.85613 | + | 7.85613i | −0.488156 | + | 0.488156i | ||||
\(260\) | −4.34491 | − | 2.23909i | −0.269460 | − | 0.138862i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.32710 | − | 27.0739i | −0.0819887 | − | 1.67263i | ||||
\(263\) | −5.35127 | −0.329974 | −0.164987 | − | 0.986296i | \(-0.552758\pi\) | ||||
−0.164987 | + | 0.986296i | \(0.552758\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −15.4792 | + | 23.9489i | −0.950877 | + | 1.47117i | ||||
\(266\) | −1.49633 | − | 30.5264i | −0.0917461 | − | 1.87169i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 12.9480 | − | 15.7702i | 0.790926 | − | 0.963318i | ||||
\(269\) | 17.5132 | − | 17.5132i | 1.06780 | − | 1.06780i | 0.0702731 | − | 0.997528i | \(-0.477613\pi\) |
0.997528 | − | 0.0702731i | \(-0.0223871\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.8401i | 0.901471i | 0.892657 | + | 0.450736i | \(0.148838\pi\) | ||||
−0.892657 | + | 0.450736i | \(0.851162\pi\) | |||||||
\(272\) | −8.94225 | + | 1.77468i | −0.542204 | + | 0.107606i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.22953 | − | 7.97482i | 0.436752 | − | 0.481776i | ||||
\(275\) | 9.56556 | − | 25.2447i | 0.576825 | − | 1.52231i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.59587 | − | 9.59587i | −0.576560 | − | 0.576560i | 0.357394 | − | 0.933954i | \(-0.383665\pi\) |
−0.933954 | + | 0.357394i | \(0.883665\pi\) | |||||||
\(278\) | −0.164510 | − | 3.35613i | −0.00986665 | − | 0.201287i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −16.9796 | − | 7.72283i | −1.01473 | − | 0.461527i | ||||
\(281\) | −24.1743 | −1.44212 | −0.721059 | − | 0.692874i | \(-0.756344\pi\) | ||||
−0.721059 | + | 0.692874i | \(0.756344\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −22.5338 | + | 22.5338i | −1.33950 | + | 1.33950i | −0.442950 | + | 0.896546i | \(0.646068\pi\) |
−0.896546 | + | 0.442950i | \(0.853932\pi\) | |||||||
\(284\) | 15.9847 | − | 1.57084i | 0.948518 | − | 0.0932124i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 5.60521 | − | 6.18304i | 0.331443 | − | 0.365611i | ||||
\(287\) | 2.99744i | 0.176933i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.8054 | −0.694436 | ||||||||
\(290\) | −14.0708 | + | 3.75187i | −0.826268 | + | 0.220317i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.309057 | − | 3.14492i | −0.0180862 | − | 0.184043i | ||||
\(293\) | −2.21485 | + | 2.21485i | −0.129393 | + | 0.129393i | −0.768837 | − | 0.639445i | \(-0.779164\pi\) |
0.639445 | + | 0.768837i | \(0.279164\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.84603 | − | 7.49764i | 0.282147 | − | 0.436530i | ||||
\(296\) | −10.5399 | + | 1.55992i | −0.612617 | + | 0.0906687i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.29154 | − | 26.3483i | −0.0748167 | − | 1.52632i | ||||
\(299\) | 2.03545 | − | 2.03545i | 0.117713 | − | 0.117713i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −13.1699 | − | 13.1699i | −0.759103 | − | 0.759103i | ||||
\(302\) | 15.5073 | + | 14.0581i | 0.892346 | + | 0.808952i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 16.2942 | − | 24.3631i | 0.934539 | − | 1.39732i | ||||
\(305\) | 28.8431 | + | 18.6424i | 1.65155 | + | 1.06746i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.5025 | + | 12.5025i | 0.713556 | + | 0.713556i | 0.967277 | − | 0.253722i | \(-0.0816547\pi\) |
−0.253722 | + | 0.967277i | \(0.581655\pi\) | |||||||
\(308\) | 20.2099 | − | 24.6149i | 1.15157 | − | 1.40257i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.06860 | + | 5.30002i | −0.174285 | + | 0.301021i | ||||
\(311\) | − | 3.75997i | − | 0.213209i | −0.994302 | − | 0.106604i | \(-0.966002\pi\) | ||
0.994302 | − | 0.106604i | \(-0.0339978\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.19979 | 0.350433 | 0.175216 | − | 0.984530i | \(-0.443938\pi\) | ||||
0.175216 | + | 0.984530i | \(0.443938\pi\) | |||||||
\(314\) | −20.3979 | + | 0.999859i | −1.15112 | + | 0.0564253i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.573680 | + | 0.0563765i | −0.0322720 | + | 0.00317143i | ||||
\(317\) | 13.6244 | + | 13.6244i | 0.765221 | + | 0.765221i | 0.977261 | − | 0.212040i | \(-0.0680108\pi\) |
−0.212040 | + | 0.977261i | \(0.568011\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 24.8638i | − | 1.39210i | ||||||
\(320\) | −8.66199 | − | 15.6515i | −0.484220 | − | 0.874946i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.37812 | − | 8.13873i | 0.411167 | − | 0.453553i | ||||
\(323\) | −11.8090 | + | 11.8090i | −0.657070 | + | 0.657070i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.93636 | + | 5.11030i | −0.107410 | + | 0.283468i | ||||
\(326\) | −1.11521 | − | 22.7512i | −0.0617660 | − | 1.26007i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.71311 | + | 2.30828i | −0.0945905 | + | 0.127454i | ||||
\(329\) | −20.4648 | −1.12826 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.4420 | + | 11.4420i | 0.628910 | + | 0.628910i | 0.947794 | − | 0.318884i | \(-0.103308\pi\) |
−0.318884 | + | 0.947794i | \(0.603308\pi\) | |||||||
\(332\) | 19.4569 | + | 15.9749i | 1.06783 | + | 0.876738i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −10.5596 | − | 9.57276i | −0.577796 | − | 0.523798i | ||||
\(335\) | −19.1595 | − | 12.3835i | −1.04679 | − | 0.676585i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.70392i | 0.528606i | 0.964440 | + | 0.264303i | \(0.0851419\pi\) | ||||
−0.964440 | + | 0.264303i | \(0.914858\pi\) | |||||||
\(338\) | 11.2133 | − | 12.3692i | 0.609922 | − | 0.672798i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.10508 | + | 9.70825i | 0.168397 | + | 0.526504i | ||||
\(341\) | −7.39385 | − | 7.39385i | −0.400400 | − | 0.400400i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 15.6353i | − | 0.844227i | ||||||
\(344\) | −2.61504 | − | 17.6689i | −0.140994 | − | 0.952645i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.883653 | + | 18.0272i | 0.0475055 | + | 0.969149i | ||||
\(347\) | 16.6678 | + | 16.6678i | 0.894776 | + | 0.894776i | 0.994968 | − | 0.100192i | \(-0.0319458\pi\) |
−0.100192 | + | 0.994968i | \(0.531946\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.985320 | + | 0.985320i | 0.0527430 | + | 0.0527430i | 0.732986 | − | 0.680243i | \(-0.238126\pi\) |
−0.680243 | + | 0.732986i | \(0.738126\pi\) | |||||||
\(350\) | −6.42595 | + | 19.8405i | −0.343482 | + | 1.06052i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 29.6314 | − | 7.40514i | 1.57936 | − | 0.394695i | ||||
\(353\) | 18.6331 | 0.991742 | 0.495871 | − | 0.868396i | \(-0.334849\pi\) | ||||
0.495871 | + | 0.868396i | \(0.334849\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.77152 | − | 17.5570i | −0.200172 | − | 0.931829i | ||||
\(356\) | 1.26018 | + | 12.8234i | 0.0667892 | + | 0.679638i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.01077 | − | 20.6204i | −0.0534207 | − | 1.08982i | ||||
\(359\) | 15.6789i | 0.827503i | 0.910390 | + | 0.413751i | \(0.135782\pi\) | ||||
−0.910390 | + | 0.413751i | \(0.864218\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | − | 34.6914i | − | 1.82586i | ||||||
\(362\) | −27.8035 | + | 1.36286i | −1.46132 | + | 0.0716306i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −4.09111 | + | 4.98282i | −0.214432 | + | 0.261171i | ||||
\(365\) | −3.45426 | + | 0.742031i | −0.180804 | + | 0.0388397i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −24.8012 | −1.29461 | −0.647305 | − | 0.762231i | \(-0.724104\pi\) | ||||
−0.647305 | + | 0.762231i | \(0.724104\pi\) | |||||||
\(368\) | 10.3333 | − | 2.05074i | 0.538659 | − | 0.106902i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.06908 | + | 11.5101i | 0.159554 | + | 0.598384i | ||||
\(371\) | 26.5960 | + | 26.5960i | 1.38079 | + | 1.38079i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.99818 | − | 7.99818i | −0.414130 | − | 0.414130i | 0.469045 | − | 0.883175i | \(-0.344598\pi\) |
−0.883175 | + | 0.469045i | \(0.844598\pi\) | |||||||
\(374\) | −17.3821 | + | 0.852030i | −0.898805 | + | 0.0440574i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −15.7596 | − | 11.6961i | −0.812741 | − | 0.603181i | ||||
\(377\) | 5.03319i | 0.259222i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.54375 | − | 5.54375i | −0.284763 | − | 0.284763i | 0.550242 | − | 0.835005i | \(-0.314536\pi\) |
−0.835005 | + | 0.550242i | \(0.814536\pi\) | |||||||
\(380\) | −29.1289 | − | 15.0112i | −1.49428 | − | 0.770057i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 12.9802 | + | 11.7672i | 0.664126 | + | 0.602060i | ||||
\(383\) | 35.2874i | 1.80310i | 0.432675 | + | 0.901550i | \(0.357570\pi\) | ||||
−0.432675 | + | 0.901550i | \(0.642430\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −29.9051 | − | 19.3289i | −1.52410 | − | 0.985090i | ||||
\(386\) | 22.1108 | − | 24.3902i | 1.12541 | − | 1.24143i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −36.0797 | + | 3.54561i | −1.83167 | + | 0.180001i | ||||
\(389\) | −10.5078 | − | 10.5078i | −0.532767 | − | 0.532767i | 0.388628 | − | 0.921395i | \(-0.372949\pi\) |
−0.921395 | + | 0.388628i | \(0.872949\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.00263 | −0.303566 | ||||||||
\(392\) | −2.86349 | + | 3.85833i | −0.144628 | + | 0.194875i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.988352 | + | 0.0484468i | −0.0497924 | + | 0.00244071i | ||||
\(395\) | 0.135357 | + | 0.630109i | 0.00681057 | + | 0.0317042i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.4175 | − | 10.4175i | 0.522838 | − | 0.522838i | −0.395589 | − | 0.918427i | \(-0.629460\pi\) |
0.918427 | + | 0.395589i | \(0.129460\pi\) | |||||||
\(398\) | −3.12086 | − | 2.82920i | −0.156434 | − | 0.141815i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −16.2879 | + | 11.6063i | −0.814393 | + | 0.580314i | ||||
\(401\) | − | 15.4212i | − | 0.770099i | −0.922896 | − | 0.385049i | \(-0.874184\pi\) | ||
0.922896 | − | 0.385049i | \(-0.125816\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.49674 | + | 1.49674i | 0.0745581 | + | 0.0745581i | ||||
\(404\) | 20.2194 | − | 24.6264i | 1.00595 | − | 1.22521i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.940396 | + | 19.1848i | 0.0466711 | + | 0.952125i | ||||
\(407\) | −20.3389 | −1.00816 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 5.10228i | − | 0.252291i | −0.992012 | − | 0.126146i | \(-0.959739\pi\) | ||
0.992012 | − | 0.126146i | \(-0.0402607\pi\) | |||||||
\(410\) | 2.78129 | + | 1.61031i | 0.137358 | + | 0.0795273i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −9.12157 | + | 0.896392i | −0.449388 | + | 0.0441621i | ||||
\(413\) | −8.32634 | − | 8.32634i | −0.409712 | − | 0.409712i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 15.2785 | − | 23.6385i | 0.749992 | − | 1.16037i | ||||
\(416\) | −5.99830 | + | 1.49903i | −0.294091 | + | 0.0734959i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 37.5782 | − | 41.4521i | 1.83801 | − | 2.02749i | ||||
\(419\) | −0.0584508 | − | 0.0584508i | −0.00285551 | − | 0.00285551i | 0.705678 | − | 0.708533i | \(-0.250643\pi\) |
−0.708533 | + | 0.705678i | \(0.750643\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.66123 | + | 6.66123i | −0.324648 | + | 0.324648i | −0.850547 | − | 0.525899i | \(-0.823729\pi\) |
0.525899 | + | 0.850547i | \(0.323729\pi\) | |||||||
\(422\) | 19.9211 | − | 0.976489i | 0.969745 | − | 0.0475347i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.28093 | + | 35.6814i | 0.256465 | + | 1.73284i | ||||
\(425\) | 10.3905 | − | 4.68004i | 0.504012 | − | 0.227015i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 32.0310 | − | 32.0310i | 1.55009 | − | 1.55009i | ||||
\(428\) | −4.84900 | + | 5.90590i | −0.234385 | + | 0.285473i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −19.2955 | + | 5.14498i | −0.930511 | + | 0.248113i | ||||
\(431\) | 12.3929 | 0.596946 | 0.298473 | − | 0.954418i | \(-0.403523\pi\) | ||||
0.298473 | + | 0.954418i | \(0.403523\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.31623i | 0.303539i | 0.988416 | + | 0.151769i | \(0.0484971\pi\) | ||||
−0.988416 | + | 0.151769i | \(0.951503\pi\) | |||||||
\(434\) | 5.98472 | + | 5.42542i | 0.287276 | + | 0.260429i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.07635 | + | 11.0547i | −0.434678 | + | 0.529422i | ||||
\(437\) | 13.6459 | − | 13.6459i | 0.652774 | − | 0.652774i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.22876 | −0.249555 | −0.124778 | − | 0.992185i | \(-0.539822\pi\) | ||||
−0.124778 | + | 0.992185i | \(0.539822\pi\) | |||||||
\(440\) | −11.9826 | − | 31.9763i | −0.571246 | − | 1.52441i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.51867 | − | 0.172477i | 0.167366 | − | 0.00820390i | ||||
\(443\) | −4.30848 | − | 4.30848i | −0.204702 | − | 0.204702i | 0.597309 | − | 0.802011i | \(-0.296237\pi\) |
−0.802011 | + | 0.597309i | \(0.796237\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 14.0847 | − | 3.02562i | 0.667680 | − | 0.143428i | ||||
\(446\) | 1.42052 | + | 1.28776i | 0.0672635 | + | 0.0609774i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −22.5834 | + | 6.83450i | −1.06697 | + | 0.322900i | ||||
\(449\) | − | 22.8023i | − | 1.07611i | −0.842911 | − | 0.538053i | \(-0.819160\pi\) | ||
0.842911 | − | 0.538053i | \(-0.180840\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.88006 | + | 3.88006i | −0.182705 | + | 0.182705i | ||||
\(452\) | −2.16939 | − | 22.0755i | −0.102040 | − | 1.03834i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.564334 | − | 0.0276624i | 0.0264855 | − | 0.00129826i | ||||
\(455\) | 6.05371 | + | 3.91276i | 0.283802 | + | 0.183433i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 23.8294 | 1.11469 | 0.557345 | − | 0.830281i | \(-0.311820\pi\) | ||||
0.557345 | + | 0.830281i | \(0.311820\pi\) | |||||||
\(458\) | −7.23078 | + | 0.354437i | −0.337872 | + | 0.0165617i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −3.58809 | − | 11.2184i | −0.167296 | − | 0.523061i | ||||
\(461\) | 7.75855 | − | 7.75855i | 0.361352 | − | 0.361352i | −0.502959 | − | 0.864310i | \(-0.667755\pi\) |
0.864310 | + | 0.502959i | \(0.167755\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.96705 | 0.463208 | 0.231604 | − | 0.972810i | \(-0.425603\pi\) | ||||
0.231604 | + | 0.972810i | \(0.425603\pi\) | |||||||
\(464\) | −10.2404 | + | 15.3114i | −0.475398 | + | 0.710813i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 18.3454 | − | 20.2366i | 0.849835 | − | 0.937443i | ||||
\(467\) | 25.6782 | − | 25.6782i | 1.18824 | − | 1.18824i | 0.210692 | − | 0.977553i | \(-0.432428\pi\) |
0.977553 | − | 0.210692i | \(-0.0675716\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −21.2771 | + | 21.2771i | −0.982487 | + | 0.982487i | ||||
\(470\) | −10.9942 | + | 18.9890i | −0.507127 | + | 0.875898i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.65329 | − | 11.1707i | −0.0760988 | − | 0.514173i | ||||
\(473\) | − | 34.0959i | − | 1.56773i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −12.9817 | + | 34.2602i | −0.595640 | + | 1.57197i | ||||
\(476\) | 13.3797 | − | 1.31485i | 0.613259 | − | 0.0602659i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 13.3711 | + | 12.1215i | 0.611581 | + | 0.554426i | ||||
\(479\) | −19.8901 | −0.908803 | −0.454402 | − | 0.890797i | \(-0.650147\pi\) | ||||
−0.454402 | + | 0.890797i | \(0.650147\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.11722 | 0.187729 | ||||||||
\(482\) | 9.47137 | + | 8.58622i | 0.431409 | + | 0.391092i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 36.1294 | − | 3.55049i | 1.64224 | − | 0.161386i | ||||
\(485\) | 8.51284 | + | 39.6286i | 0.386548 | + | 1.79944i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 24.3871i | 1.10508i | 0.833485 | + | 0.552541i | \(0.186342\pi\) | ||||
−0.833485 | + | 0.552541i | \(0.813658\pi\) | |||||||
\(488\) | 42.9731 | − | 6.36012i | 1.94530 | − | 0.287909i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.64897 | + | 2.69165i | 0.210019 | + | 0.121597i | ||||
\(491\) | 16.7013 | − | 16.7013i | 0.753719 | − | 0.753719i | −0.221452 | − | 0.975171i | \(-0.571080\pi\) |
0.975171 | + | 0.221452i | \(0.0710797\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.42156 | − | 7.42156i | 0.334250 | − | 0.334250i | ||||
\(494\) | −7.60698 | + | 8.39118i | −0.342254 | + | 0.377537i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.50799 | + | 7.59845i | 0.0677107 | + | 0.341181i | ||||
\(497\) | −23.6859 | −1.06246 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.16191 | − | 6.16191i | 0.275845 | − | 0.275845i | −0.555603 | − | 0.831448i | \(-0.687512\pi\) |
0.831448 | + | 0.555603i | \(0.187512\pi\) | |||||||
\(500\) | 14.9576 | + | 16.6214i | 0.668922 | + | 0.743333i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 15.2437 | − | 0.747213i | 0.680360 | − | 0.0333497i | ||||
\(503\) | −15.6520 | −0.697889 | −0.348945 | − | 0.937143i | \(-0.613460\pi\) | ||||
−0.348945 | + | 0.937143i | \(0.613460\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −29.9191 | − | 19.3379i | −1.33138 | − | 0.860525i | ||||
\(506\) | 20.0859 | − | 0.984567i | 0.892928 | − | 0.0437693i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.03988 | − | 20.7575i | −0.0905049 | − | 0.920966i | ||||
\(509\) | −13.0382 | + | 13.0382i | −0.577908 | + | 0.577908i | −0.934326 | − | 0.356418i | \(-0.883998\pi\) |
0.356418 | + | 0.934326i | \(0.383998\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.66010i | 0.206151i | ||||||||
\(512\) | −21.2972 | − | 7.64381i | −0.941214 | − | 0.337812i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −9.57769 | − | 8.68261i | −0.422454 | − | 0.382973i | ||||
\(515\) | 2.15220 | + | 10.0188i | 0.0948371 | + | 0.441481i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −26.4908 | − | 26.4908i | −1.16507 | − | 1.16507i | ||||
\(518\) | 15.6934 | − | 0.769256i | 0.689529 | − | 0.0337992i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.42564 | + | 6.47300i | 0.106371 | + | 0.283860i | ||||
\(521\) | −11.6740 | −0.511445 | −0.255723 | − | 0.966750i | \(-0.582313\pi\) | ||||
−0.255723 | + | 0.966750i | \(0.582313\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.7738 | + | 12.7738i | −0.558559 | + | 0.558559i | −0.928897 | − | 0.370338i | \(-0.879242\pi\) |
0.370338 | + | 0.928897i | \(0.379242\pi\) | |||||||
\(524\) | −24.3255 | + | 29.6275i | −1.06266 | + | 1.29428i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.60685 | + | 5.08286i | 0.244470 | + | 0.221623i | ||||
\(527\) | − | 4.41397i | − | 0.192275i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −16.0636 | −0.698419 | ||||||||
\(530\) | 38.9662 | − | 10.3900i | 1.69258 | − | 0.451312i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −27.4274 | + | 33.4056i | −1.18913 | + | 1.44832i | ||||
\(533\) | 0.785444 | − | 0.785444i | 0.0340213 | − | 0.0340213i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.17518 | + | 4.63761i | 0.310210 | + | 0.200501i | ||||
\(536\) | −28.5456 | + | 4.22482i | −1.23298 | + | 0.182484i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −34.9845 | + | 1.71486i | −1.50829 | + | 0.0739329i | ||||
\(539\) | −6.48559 | + | 6.48559i | −0.279354 | + | 0.279354i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 23.1601 | + | 23.1601i | 0.995729 | + | 0.995729i | 0.999991 | − | 0.00426226i | \(-0.00135673\pi\) |
−0.00426226 | + | 0.999991i | \(0.501357\pi\) | |||||||
\(542\) | 14.0957 | − | 15.5488i | 0.605464 | − | 0.667880i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 11.0550 | + | 6.63429i | 0.473979 | + | 0.284443i | ||||
\(545\) | 13.4305 | + | 8.68066i | 0.575299 | + | 0.371839i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 32.6697 | + | 32.6697i | 1.39686 | + | 1.39686i | 0.808873 | + | 0.587983i | \(0.200078\pi\) |
0.587983 | + | 0.808873i | \(0.299922\pi\) | |||||||
\(548\) | −15.1496 | + | 1.48878i | −0.647160 | + | 0.0635975i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −34.0008 | + | 17.3646i | −1.44980 | + | 0.740428i | ||||
\(551\) | 33.7433i | 1.43751i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.850072 | 0.0361487 | ||||||||
\(554\) | 0.939608 | + | 19.1687i | 0.0399201 | + | 0.814401i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.01542 | + | 3.67267i | −0.127882 | + | 0.155756i | ||||
\(557\) | 27.6869 | + | 27.6869i | 1.17313 | + | 1.17313i | 0.981459 | + | 0.191673i | \(0.0613912\pi\) |
0.191673 | + | 0.981459i | \(0.438609\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.90206i | 0.291926i | ||||||||
\(560\) | 10.4551 | + | 24.2196i | 0.441809 | + | 1.02347i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 25.3289 | + | 22.9618i | 1.06843 | + | 0.968583i | ||||
\(563\) | −12.9042 | + | 12.9042i | −0.543845 | + | 0.543845i | −0.924654 | − | 0.380809i | \(-0.875646\pi\) |
0.380809 | + | 0.924654i | \(0.375646\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −24.2469 | + | 5.20861i | −1.02007 | + | 0.219128i | ||||
\(566\) | 45.0136 | − | 2.20647i | 1.89206 | − | 0.0927446i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −18.2402 | − | 13.5371i | −0.765341 | − | 0.568003i | ||||
\(569\) | 39.4363 | 1.65326 | 0.826628 | − | 0.562749i | \(-0.190256\pi\) | ||||
0.826628 | + | 0.562749i | \(0.190256\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.54757 | − | 1.54757i | −0.0647637 | − | 0.0647637i | 0.673983 | − | 0.738747i | \(-0.264582\pi\) |
−0.738747 | + | 0.673983i | \(0.764582\pi\) | |||||||
\(572\) | −11.7458 | + | 1.15428i | −0.491118 | + | 0.0482630i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 2.84709 | − | 3.14059i | 0.118835 | − | 0.131086i | ||||
\(575\) | −12.0068 | + | 5.40804i | −0.500716 | + | 0.225531i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 26.5133i | − | 1.10376i | −0.833923 | − | 0.551881i | \(-0.813910\pi\) | ||
0.833923 | − | 0.551881i | \(-0.186090\pi\) | |||||||
\(578\) | 12.3692 | + | 11.2133i | 0.514492 | + | 0.466411i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 18.3065 | + | 9.43402i | 0.760138 | + | 0.391726i | ||||
\(581\) | −26.2512 | − | 26.2512i | −1.08908 | − | 1.08908i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 68.8548i | 2.85167i | ||||||||
\(584\) | −2.66336 | + | 3.58868i | −0.110211 | + | 0.148500i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.42438 | − | 0.216873i | 0.182769 | − | 0.00895895i | ||||
\(587\) | 4.43417 | + | 4.43417i | 0.183018 | + | 0.183018i | 0.792669 | − | 0.609652i | \(-0.208691\pi\) |
−0.609652 | + | 0.792669i | \(0.708691\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.0344 | + | 10.0344i | 0.413460 | + | 0.413460i | ||||
\(590\) | −12.1990 | + | 3.25277i | −0.502227 | + | 0.133914i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 12.5249 | + | 8.37677i | 0.514771 | + | 0.344283i | ||||
\(593\) | 20.0418 | 0.823019 | 0.411510 | − | 0.911405i | \(-0.365002\pi\) | ||||
0.411510 | + | 0.911405i | \(0.365002\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.15689 | − | 14.6958i | −0.129420 | − | 0.602469i | ||||
\(596\) | −23.6735 | + | 28.8335i | −0.969706 | + | 1.18107i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.06601 | + | 0.199307i | −0.166272 | + | 0.00815026i | ||||
\(599\) | − | 30.5731i | − | 1.24918i | −0.780951 | − | 0.624592i | \(-0.785265\pi\) | ||
0.780951 | − | 0.624592i | \(-0.214735\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 36.4715i | 1.48770i | 0.668344 | + | 0.743852i | \(0.267003\pi\) | ||||
−0.668344 | + | 0.743852i | \(0.732997\pi\) | |||||||
\(602\) | 1.28957 | + | 26.3083i | 0.0525591 | + | 1.07225i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.89498 | − | 29.4590i | −0.117795 | − | 1.19867i | ||||
\(605\) | −8.52458 | − | 39.6832i | −0.346573 | − | 1.61335i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −18.5659 | −0.753566 | −0.376783 | − | 0.926302i | \(-0.622970\pi\) | ||||
−0.376783 | + | 0.926302i | \(0.622970\pi\) | |||||||
\(608\) | −40.2135 | + | 10.0497i | −1.63087 | + | 0.407570i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −12.5132 | − | 46.9291i | −0.506647 | − | 1.90011i | ||||
\(611\) | 5.36256 | + | 5.36256i | 0.216946 | + | 0.216946i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 17.3170 | + | 17.3170i | 0.699425 | + | 0.699425i | 0.964286 | − | 0.264861i | \(-0.0853262\pi\) |
−0.264861 | + | 0.964286i | \(0.585326\pi\) | |||||||
\(614\) | −1.22422 | − | 24.9750i | −0.0494055 | − | 1.00791i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −44.5554 | + | 6.59431i | −1.79519 | + | 0.265692i | ||||
\(617\) | − | 1.18526i | − | 0.0477167i | −0.999715 | − | 0.0238584i | \(-0.992405\pi\) | ||
0.999715 | − | 0.0238584i | \(-0.00759508\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.522478 | − | 0.522478i | −0.0210002 | − | 0.0210002i | 0.696529 | − | 0.717529i | \(-0.254727\pi\) |
−0.717529 | + | 0.696529i | \(0.754727\pi\) | |||||||
\(620\) | 8.24934 | − | 2.63847i | 0.331302 | − | 0.105963i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.57138 | + | 3.93955i | −0.143199 | + | 0.157962i | ||||
\(623\) | − | 19.0015i | − | 0.761280i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.5671 | − | 18.7225i | 0.662683 | − | 0.748900i | ||||
\(626\) | −6.49589 | − | 5.88882i | −0.259628 | − | 0.235364i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 22.3218 | + | 18.3272i | 0.890737 | + | 0.731333i | ||||
\(629\) | −6.07093 | − | 6.07093i | −0.242064 | − | 0.242064i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.4437 | 1.33137 | 0.665687 | − | 0.746231i | \(-0.268139\pi\) | ||||
0.665687 | + | 0.746231i | \(0.268139\pi\) | |||||||
\(632\) | 0.654628 | + | 0.485836i | 0.0260397 | + | 0.0193255i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.33407 | − | 27.2161i | −0.0529827 | − | 1.08089i | ||||
\(635\) | −22.7993 | + | 4.89765i | −0.904763 | + | 0.194357i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.31288 | − | 1.31288i | 0.0520183 | − | 0.0520183i | ||||
\(638\) | −23.6166 | + | 26.0512i | −0.934991 | + | 1.03138i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −5.79078 | + | 24.6265i | −0.228901 | + | 0.973450i | ||||
\(641\) | 0.0475126i | 0.00187664i | 1.00000 | 0.000938318i | \(0.000298676\pi\) | |||||
−1.00000 | 0.000938318i | \(0.999701\pi\) | ||||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.27347 | + | 6.27347i | 0.247402 | + | 0.247402i | 0.819903 | − | 0.572502i | \(-0.194027\pi\) |
−0.572502 | + | 0.819903i | \(0.694027\pi\) | |||||||
\(644\) | −15.4610 | + | 1.51938i | −0.609249 | + | 0.0598719i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 23.5897 | − | 1.15631i | 0.928123 | − | 0.0454945i | ||||
\(647\) | −30.1491 | −1.18529 | −0.592643 | − | 0.805465i | \(-0.701915\pi\) | ||||
−0.592643 | + | 0.805465i | \(0.701915\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 21.5562i | − | 0.846155i | ||||||
\(650\) | 6.88282 | − | 3.51512i | 0.269966 | − | 0.137875i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −20.4416 | + | 24.8971i | −0.800555 | + | 0.975046i | ||||
\(653\) | −19.4196 | − | 19.4196i | −0.759947 | − | 0.759947i | 0.216365 | − | 0.976312i | \(-0.430580\pi\) |
−0.976312 | + | 0.216365i | \(0.930580\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 35.9950 | + | 23.2650i | 1.40644 | + | 0.909038i | ||||
\(656\) | 3.98743 | − | 0.791345i | 0.155683 | − | 0.0308968i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 21.4422 | + | 19.4383i | 0.835903 | + | 0.757784i | ||||
\(659\) | −29.1034 | − | 29.1034i | −1.13371 | − | 1.13371i | −0.989555 | − | 0.144153i | \(-0.953954\pi\) |
−0.144153 | − | 0.989555i | \(-0.546046\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 27.9971 | − | 27.9971i | 1.08896 | − | 1.08896i | 0.0933236 | − | 0.995636i | \(-0.470251\pi\) |
0.995636 | − | 0.0933236i | \(-0.0297491\pi\) | |||||||
\(662\) | −1.12038 | − | 22.8566i | −0.0435447 | − | 0.888346i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.21247 | − | 35.2188i | −0.202283 | − | 1.36676i | ||||
\(665\) | 40.5850 | + | 26.2317i | 1.57382 | + | 1.01722i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.57602 | + | 8.57602i | −0.332065 | + | 0.332065i | ||||
\(668\) | 1.97132 | + | 20.0599i | 0.0762727 | + | 0.776141i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 8.31213 | + | 31.1735i | 0.321126 | + | 1.20434i | ||||
\(671\) | 82.9257 | 3.20131 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 24.1910i | − | 0.932495i | −0.884654 | − | 0.466248i | \(-0.845606\pi\) | ||
0.884654 | − | 0.466248i | \(-0.154394\pi\) | |||||||
\(674\) | 9.21719 | − | 10.1674i | 0.355033 | − | 0.391633i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −23.4976 | + | 2.30915i | −0.903755 | + | 0.0888135i | ||||
\(677\) | 22.7749 | − | 22.7749i | 0.875311 | − | 0.875311i | −0.117734 | − | 0.993045i | \(-0.537563\pi\) |
0.993045 | + | 0.117734i | \(0.0375631\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 53.4624 | 2.05170 | ||||||||
\(680\) | 5.96792 | − | 13.1213i | 0.228859 | − | 0.503177i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.723991 | + | 14.7700i | 0.0277230 | + | 0.565571i | ||||
\(683\) | −11.1813 | − | 11.1813i | −0.427842 | − | 0.427842i | 0.460051 | − | 0.887893i | \(-0.347831\pi\) |
−0.887893 | + | 0.460051i | \(0.847831\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.57449 | + | 16.6398i | 0.136574 | + | 0.635774i | ||||
\(686\) | −14.8511 | + | 16.3820i | −0.567016 | + | 0.625469i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −14.0427 | + | 20.9967i | −0.535375 | + | 0.800490i | ||||
\(689\) | − | 13.9383i | − | 0.531008i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −30.4888 | + | 30.4888i | −1.15985 | + | 1.15985i | −0.175343 | + | 0.984507i | \(0.556103\pi\) |
−0.984507 | + | 0.175343i | \(0.943897\pi\) | |||||||
\(692\) | 16.1971 | − | 19.7275i | 0.615723 | − | 0.749927i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.63208 | − | 33.2957i | −0.0619529 | − | 1.26389i | ||||
\(695\) | 4.46199 | + | 2.88397i | 0.169253 | + | 0.109395i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.31631 | −0.0877365 | ||||||||
\(698\) | −0.0964805 | − | 1.96828i | −0.00365184 | − | 0.0745004i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 25.5782 | − | 14.6844i | 0.966765 | − | 0.555019i | ||||
\(701\) | −10.1167 | + | 10.1167i | −0.382102 | + | 0.382102i | −0.871859 | − | 0.489757i | \(-0.837086\pi\) |
0.489757 | + | 0.871859i | \(0.337086\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 27.6024 | 1.04105 | ||||||||
\(704\) | −38.0803 | − | 20.3863i | −1.43520 | − | 0.768338i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −19.5231 | − | 17.6985i | −0.734760 | − | 0.666093i | ||||
\(707\) | −33.2260 | + | 33.2260i | −1.24959 | + | 1.24959i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.9333 | − | 10.9333i | 0.410608 | − | 0.410608i | −0.471342 | − | 0.881950i | \(-0.656230\pi\) |
0.881950 | + | 0.471342i | \(0.156230\pi\) | |||||||
\(710\) | −12.7247 | + | 21.9779i | −0.477550 | + | 0.824815i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 10.8598 | − | 14.6328i | 0.406989 | − | 0.548387i | ||||
\(713\) | 5.10058i | 0.191018i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.77138 | + | 12.9012i | 0.103644 | + | 0.482477i | ||||
\(716\) | −18.5271 | + | 22.5653i | −0.692391 | + | 0.843306i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 14.8925 | − | 16.4278i | 0.555784 | − | 0.613079i | ||||
\(719\) | −17.0081 | −0.634295 | −0.317148 | − | 0.948376i | \(-0.602725\pi\) | ||||
−0.317148 | + | 0.948376i | \(0.602725\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.5162 | 0.503370 | ||||||||
\(722\) | −32.9514 | + | 36.3483i | −1.22632 | + | 1.35274i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 30.4259 | + | 24.9810i | 1.13077 | + | 0.928410i | ||||
\(725\) | 8.15855 | − | 21.5314i | 0.303001 | − | 0.799656i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 9.36040i | − | 0.347158i | −0.984820 | − | 0.173579i | \(-0.944467\pi\) | ||
0.984820 | − | 0.173579i | \(-0.0555332\pi\) | |||||||
\(728\) | 9.01939 | − | 1.33489i | 0.334281 | − | 0.0494743i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.32405 | + | 2.50353i | 0.160040 | + | 0.0926600i | ||||
\(731\) | 10.1773 | − | 10.1773i | 0.376420 | − | 0.376420i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.534164 | − | 0.534164i | 0.0197298 | − | 0.0197298i | −0.697173 | − | 0.716903i | \(-0.745559\pi\) |
0.716903 | + | 0.697173i | \(0.245559\pi\) | |||||||
\(734\) | 25.9857 | + | 23.5572i | 0.959148 | + | 0.869511i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −12.7747 | − | 7.66628i | −0.470880 | − | 0.282583i | ||||
\(737\) | −55.0848 | −2.02907 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 29.8329 | − | 29.8329i | 1.09742 | − | 1.09742i | 0.102708 | − | 0.994712i | \(-0.467249\pi\) |
0.994712 | − | 0.102708i | \(-0.0327506\pi\) | |||||||
\(740\) | 7.71715 | − | 14.9750i | 0.283688 | − | 0.550492i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.60422 | − | 53.1281i | −0.0956040 | − | 1.95040i | ||||
\(743\) | −18.5297 | −0.679788 | −0.339894 | − | 0.940464i | \(-0.610391\pi\) | ||||
−0.339894 | + | 0.940464i | \(0.610391\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 35.0303 | + | 22.6415i | 1.28341 | + | 0.829520i | ||||
\(746\) | 0.783165 | + | 15.9772i | 0.0286737 | + | 0.584966i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 19.0215 | + | 15.6175i | 0.695496 | + | 0.571032i | ||||
\(749\) | 7.96824 | − | 7.96824i | 0.291153 | − | 0.291153i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 14.3204i | − | 0.522560i | −0.965263 | − | 0.261280i | \(-0.915855\pi\) | ||
0.965263 | − | 0.261280i | \(-0.0841446\pi\) | |||||||
\(752\) | 5.40285 | + | 27.2239i | 0.197022 | + | 0.992753i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.78073 | − | 5.27357i | 0.174104 | − | 0.192052i | ||||
\(755\) | −32.3567 | + | 6.95073i | −1.17758 | + | 0.252963i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −19.9592 | − | 19.9592i | −0.725431 | − | 0.725431i | 0.244275 | − | 0.969706i | \(-0.421450\pi\) |
−0.969706 | + | 0.244275i | \(0.921450\pi\) | |||||||
\(758\) | 0.542833 | + | 11.0742i | 0.0197166 | + | 0.402233i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 16.2619 | + | 43.3960i | 0.589880 | + | 1.57414i | ||||
\(761\) | −44.8390 | −1.62541 | −0.812706 | − | 0.582674i | \(-0.802006\pi\) | ||||
−0.812706 | + | 0.582674i | \(0.802006\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 14.9149 | − | 14.9149i | 0.539957 | − | 0.539957i | ||||
\(764\) | −2.42321 | − | 24.6583i | −0.0876687 | − | 0.892106i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 33.5174 | − | 36.9727i | 1.21103 | − | 1.33588i | ||||
\(767\) | 4.36364i | 0.157562i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.94970 | 0.286673 | 0.143337 | − | 0.989674i | \(-0.454217\pi\) | ||||
0.143337 | + | 0.989674i | \(0.454217\pi\) | |||||||
\(770\) | 12.9740 | + | 48.6571i | 0.467550 | + | 1.75348i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −46.3336 | + | 4.55328i | −1.66758 | + | 0.163876i | ||||
\(773\) | −6.73346 | + | 6.73346i | −0.242186 | + | 0.242186i | −0.817754 | − | 0.575568i | \(-0.804781\pi\) |
0.575568 | + | 0.817754i | \(0.304781\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.97675 | − | 8.82904i | −0.142849 | − | 0.317148i | ||||
\(776\) | 41.1706 | + | 30.5550i | 1.47794 | + | 1.09686i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.02890 | + | 20.9904i | 0.0368880 | + | 0.752543i | ||||
\(779\) | 5.26573 | − | 5.26573i | 0.188664 | − | 0.188664i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −30.6605 | − | 30.6605i | −1.09712 | − | 1.09712i | ||||
\(782\) | 6.28931 | + | 5.70155i | 0.224905 | + | 0.203887i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.66506 | − | 1.32275i | 0.238038 | − | 0.0472409i | ||||
\(785\) | 17.5282 | − | 27.1191i | 0.625608 | − | 0.967923i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.03543 | − | 2.03543i | −0.0725554 | − | 0.0725554i | 0.669898 | − | 0.742453i | \(-0.266338\pi\) |
−0.742453 | + | 0.669898i | \(0.766338\pi\) | |||||||
\(788\) | 1.08157 | + | 0.888017i | 0.0385294 | + | 0.0316343i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.456682 | − | 0.788771i | 0.0162480 | − | 0.0280632i | ||||
\(791\) | 32.7111i | 1.16307i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −16.7867 | −0.596114 | ||||||||
\(794\) | −20.8100 | + | 1.02006i | −0.738518 | + | 0.0362005i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.582617 | + | 5.92864i | 0.0206503 | + | 0.210135i | ||||
\(797\) | −14.7768 | − | 14.7768i | −0.523422 | − | 0.523422i | 0.395181 | − | 0.918603i | \(-0.370682\pi\) |
−0.918603 | + | 0.395181i | \(0.870682\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 15.8144i | − | 0.559475i | ||||||
\(800\) | 28.0899 | + | 3.31028i | 0.993128 | + | 0.117036i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −14.6477 | + | 16.1577i | −0.517229 | + | 0.570549i | ||||
\(803\) | −6.03231 | + | 6.03231i | −0.212876 | + | 0.212876i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.64796 | + | 16.9818i | 0.128574 | + | 0.598530i | ||||
\(806\) | −0.146558 | − | 2.98990i | −0.00516229 | − | 0.105315i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −44.5763 | + | 6.59739i | −1.56819 | + | 0.232095i | ||||
\(809\) | −6.77033 | −0.238032 | −0.119016 | − | 0.992892i | \(-0.537974\pi\) | ||||
−0.119016 | + | 0.992892i | \(0.537974\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −18.8412 | − | 18.8412i | −0.661604 | − | 0.661604i | 0.294154 | − | 0.955758i | \(-0.404962\pi\) |
−0.955758 | + | 0.294154i | \(0.904962\pi\) | |||||||
\(812\) | 17.2372 | − | 20.9943i | 0.604908 | − | 0.736755i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 21.3103 | + | 19.3187i | 0.746924 | + | 0.677121i | ||||
\(815\) | 30.2479 | + | 19.5504i | 1.05954 | + | 0.684822i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 46.2725i | 1.61887i | ||||||||
\(818\) | −4.84636 | + | 5.34596i | −0.169449 | + | 0.186917i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.38458 | − | 4.32899i | −0.0483517 | − | 0.151175i | ||||
\(821\) | −4.33164 | − | 4.33164i | −0.151175 | − | 0.151175i | 0.627467 | − | 0.778643i | \(-0.284092\pi\) |
−0.778643 | + | 0.627467i | \(0.784092\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 22.3521i | − | 0.779144i | −0.920996 | − | 0.389572i | \(-0.872623\pi\) | ||
0.920996 | − | 0.389572i | \(-0.127377\pi\) | |||||||
\(824\) | 10.4086 | + | 7.72485i | 0.362602 | + | 0.269108i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.815298 | + | 16.6327i | 0.0283679 | + | 0.578726i | ||||
\(827\) | −33.1708 | − | 33.1708i | −1.15346 | − | 1.15346i | −0.985854 | − | 0.167609i | \(-0.946395\pi\) |
−0.167609 | − | 0.985854i | \(-0.553605\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −22.9388 | − | 22.9388i | −0.796696 | − | 0.796696i | 0.185877 | − | 0.982573i | \(-0.440488\pi\) |
−0.982573 | + | 0.185877i | \(0.940488\pi\) | |||||||
\(830\) | −38.4610 | + | 10.2553i | −1.33500 | + | 0.355966i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 7.70862 | + | 4.12682i | 0.267248 | + | 0.143072i | ||||
\(833\) | −3.87175 | −0.134148 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 22.0331 | − | 4.73305i | 0.762485 | − | 0.163794i | ||||
\(836\) | −78.7458 | + | 7.73848i | −2.72348 | + | 0.267641i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.00572338 | + | 0.116761i | 0.000197711 | + | 0.00403345i | ||||
\(839\) | − | 19.8135i | − | 0.684040i | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||
0.939693 | − | 0.342020i | \(-0.111111\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7.79349i | 0.268741i | ||||||||
\(842\) | 13.3065 | − | 0.652254i | 0.458571 | − | 0.0224781i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −21.8001 | − | 17.8988i | −0.750389 | − | 0.616102i | ||||
\(845\) | 5.54417 | + | 25.8089i | 0.190725 | + | 0.887854i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −53.5360 | −1.83952 | ||||||||
\(848\) | 28.3585 | − | 42.4016i | 0.973836 | − | 1.45608i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −15.3320 | − | 4.96574i | −0.525884 | − | 0.170324i | ||||
\(851\) | 7.01530 | + | 7.01530i | 0.240481 | + | 0.240481i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 21.6771 | + | 21.6771i | 0.742211 | + | 0.742211i | 0.973003 | − | 0.230792i | \(-0.0741318\pi\) |
−0.230792 | + | 0.973003i | \(0.574132\pi\) | |||||||
\(854\) | −63.9852 | + | 3.13641i | −2.18953 | + | 0.107326i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.6903 | − | 1.58218i | 0.365386 | − | 0.0540779i | ||||
\(857\) | 9.66909i | 0.330290i | 0.986269 | + | 0.165145i | \(0.0528092\pi\) | ||||
−0.986269 | + | 0.165145i | \(0.947191\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.3747 | + | 24.3747i | 0.831652 | + | 0.831652i | 0.987743 | − | 0.156090i | \(-0.0498891\pi\) |
−0.156090 | + | 0.987743i | \(0.549889\pi\) | |||||||
\(860\) | 25.1040 | + | 12.9370i | 0.856038 | + | 0.441147i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −12.9848 | − | 11.7713i | −0.442264 | − | 0.400932i | ||||
\(863\) | − | 11.2656i | − | 0.383485i | −0.981445 | − | 0.191742i | \(-0.938586\pi\) | ||
0.981445 | − | 0.191742i | \(-0.0614138\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −23.9673 | − | 15.4910i | −0.814912 | − | 0.526710i | ||||
\(866\) | 5.99942 | − | 6.61789i | 0.203869 | − | 0.224885i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −1.11726 | − | 11.3691i | −0.0379222 | − | 0.385892i | ||||
\(869\) | 1.10038 | + | 1.10038i | 0.0373279 | + | 0.0373279i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.1509 | 0.377832 | ||||||||
\(872\) | 20.0100 | − | 2.96153i | 0.677625 | − | 0.100290i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −27.2592 | + | 1.33618i | −0.922055 | + | 0.0451971i | ||||
\(875\) | −19.5547 | − | 26.5511i | −0.661069 | − | 0.897590i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −14.2210 | + | 14.2210i | −0.480210 | + | 0.480210i | −0.905199 | − | 0.424989i | \(-0.860278\pi\) |
0.424989 | + | 0.905199i | \(0.360278\pi\) | |||||||
\(878\) | 5.47848 | + | 4.96649i | 0.184890 | + | 0.167611i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −17.8176 | + | 44.8851i | −0.600632 | + | 1.51308i | ||||
\(881\) | − | 43.8480i | − | 1.47728i | −0.674103 | − | 0.738638i | \(-0.735469\pi\) | ||
0.674103 | − | 0.738638i | \(-0.264531\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.8519 | − | 23.8519i | −0.802681 | − | 0.802681i | 0.180833 | − | 0.983514i | \(-0.442121\pi\) |
−0.983514 | + | 0.180833i | \(0.942121\pi\) | |||||||
\(884\) | −3.85054 | − | 3.16146i | −0.129508 | − | 0.106331i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.421878 | + | 8.60663i | 0.0141733 | + | 0.289145i | ||||
\(887\) | 12.2892 | 0.412632 | 0.206316 | − | 0.978485i | \(-0.433852\pi\) | ||||
0.206316 | + | 0.978485i | \(0.433852\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 30.7582i | 1.03160i | ||||||||
\(890\) | −17.6313 | − | 10.2081i | −0.591002 | − | 0.342178i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.265190 | − | 2.69854i | −0.00887920 | − | 0.0903537i | ||||
\(893\) | 35.9514 | + | 35.9514i | 1.20307 | + | 1.20307i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 27.4150 | + | 17.7194i | 0.916383 | + | 0.592295i | ||||
\(896\) | 30.1537 | + | 14.2897i | 1.00736 | + | 0.477387i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −21.6586 | + | 23.8913i | −0.722755 | + | 0.797263i | ||||
\(899\) | −6.30628 | − | 6.30628i | −0.210326 | − | 0.210326i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −20.5524 | + | 20.5524i | −0.684700 | + | 0.684700i | ||||
\(902\) | 7.75081 | − | 0.379928i | 0.258074 | − | 0.0126502i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −18.6952 | + | 25.1903i | −0.621793 | + | 0.837818i | ||||
\(905\) | 23.8919 | − | 36.9649i | 0.794194 | − | 1.22876i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 31.4979 | − | 31.4979i | 1.04587 | − | 1.04587i | 0.0469745 | − | 0.998896i | \(-0.485042\pi\) |
0.998896 | − | 0.0469745i | \(-0.0149580\pi\) | |||||||
\(908\) | −0.617562 | − | 0.507045i | −0.0204945 | − | 0.0168269i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.62634 | − | 9.84970i | −0.0870622 | − | 0.326514i | ||||
\(911\) | −9.04962 | −0.299827 | −0.149914 | − | 0.988699i | \(-0.547900\pi\) | ||||
−0.149914 | + | 0.988699i | \(0.547900\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 67.9622i | − | 2.24922i | ||||||
\(914\) | −24.9674 | − | 22.6341i | −0.825850 | − | 0.748670i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 7.91278 | + | 6.49674i | 0.261446 | + | 0.214658i | ||||
\(917\) | 39.9734 | − | 39.9734i | 1.32004 | − | 1.32004i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.82428 | 0.159138 | 0.0795692 | − | 0.996829i | \(-0.474646\pi\) | ||||
0.0795692 | + | 0.996829i | \(0.474646\pi\) | |||||||
\(920\) | −6.89626 | + | 15.1623i | −0.227363 | + | 0.499887i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −15.4985 | + | 0.759701i | −0.510416 | + | 0.0250194i | ||||
\(923\) | 6.20662 | + | 6.20662i | 0.204293 | + | 0.204293i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −17.6130 | − | 6.67380i | −0.579111 | − | 0.219433i | ||||
\(926\) | −10.4431 | − | 9.46712i | −0.343181 | − | 0.311109i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 25.2729 | − | 6.31591i | 0.829622 | − | 0.207330i | ||||
\(929\) | − | 15.4281i | − | 0.506180i | −0.967443 | − | 0.253090i | \(-0.918553\pi\) | ||
0.967443 | − | 0.253090i | \(-0.0814468\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.80177 | − | 8.80177i | 0.288466 | − | 0.288466i | ||||
\(932\) | −38.4432 | + | 3.77787i | −1.25925 | + | 0.123748i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −51.2948 | + | 2.51435i | −1.67842 | + | 0.0822722i | ||||
\(935\) | 14.9366 | − | 23.1096i | 0.488480 | − | 0.755764i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.7904 | 0.417845 | 0.208923 | − | 0.977932i | \(-0.433004\pi\) | ||||
0.208923 | + | 0.977932i | \(0.433004\pi\) | |||||||
\(938\) | 42.5032 | − | 2.08341i | 1.38778 | − | 0.0680259i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 29.5559 | − | 9.45314i | 0.964007 | − | 0.308327i | ||||
\(941\) | 3.02632 | − | 3.02632i | 0.0986553 | − | 0.0986553i | −0.656056 | − | 0.754712i | \(-0.727777\pi\) |
0.754712 | + | 0.656056i | \(0.227777\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.67662 | 0.0871629 | ||||||||
\(944\) | −8.87814 | + | 13.2746i | −0.288959 | + | 0.432050i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −32.3857 | + | 35.7243i | −1.05295 | + | 1.16150i | ||||
\(947\) | −13.2910 | + | 13.2910i | −0.431898 | + | 0.431898i | −0.889274 | − | 0.457375i | \(-0.848790\pi\) |
0.457375 | + | 0.889274i | \(0.348790\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.22113 | − | 1.22113i | 0.0396394 | − | 0.0396394i | ||||
\(950\) | 46.1435 | − | 23.5659i | 1.49709 | − | 0.764580i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −15.2676 | − | 11.3310i | −0.494827 | − | 0.367239i | ||||
\(953\) | 24.7645i | 0.802200i | 0.916034 | + | 0.401100i | \(0.131372\pi\) | ||||
−0.916034 | + | 0.401100i | \(0.868628\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −27.0838 | + | 5.81802i | −0.876410 | + | 0.188267i | ||||
\(956\) | −2.49619 | − | 25.4009i | −0.0807325 | − | 0.821523i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 20.8401 | + | 18.8925i | 0.673313 | + | 0.610388i | ||||
\(959\) | 22.4485 | 0.724901 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 27.2493 | 0.879011 | ||||||||
\(962\) | −4.31385 | − | 3.91070i | −0.139084 | − | 0.126086i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.76816 | − | 17.9926i | −0.0569487 | − | 0.579503i | ||||
\(965\) | 10.9322 | + | 50.8911i | 0.351921 | + | 1.63824i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 50.8732i | 1.63597i | 0.575238 | + | 0.817986i | \(0.304909\pi\) | ||||
−0.575238 | + | 0.817986i | \(0.695091\pi\) | |||||||
\(968\) | −41.2273 | − | 30.5971i | −1.32510 | − | 0.983429i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 28.7214 | − | 49.6071i | 0.922190 | − | 1.59279i | ||||
\(971\) | 9.95162 | − | 9.95162i | 0.319363 | − | 0.319363i | −0.529160 | − | 0.848522i | \(-0.677493\pi\) |
0.848522 | + | 0.529160i | \(0.177493\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.95517 | − | 4.95517i | 0.158855 | − | 0.158855i | ||||
\(974\) | 23.1638 | − | 25.5518i | 0.742217 | − | 0.818732i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −51.0666 | − | 34.1538i | −1.63460 | − | 1.09324i | ||||
\(977\) | 5.29541 | 0.169415 | 0.0847076 | − | 0.996406i | \(-0.473004\pi\) | ||||
0.0847076 | + | 0.996406i | \(0.473004\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 24.5967 | − | 24.5967i | 0.786114 | − | 0.786114i | ||||
\(980\) | −2.31436 | − | 7.23599i | −0.0739294 | − | 0.231145i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −33.3625 | + | 1.63536i | −1.06464 | + | 0.0521863i | ||||
\(983\) | 42.1592 | 1.34467 | 0.672335 | − | 0.740247i | \(-0.265291\pi\) | ||||
0.672335 | + | 0.740247i | \(0.265291\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.849304 | − | 1.31402i | 0.0270611 | − | 0.0418682i | ||||
\(986\) | −14.8253 | + | 0.726704i | −0.472134 | + | 0.0231430i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 15.9406 | − | 1.56651i | 0.507137 | − | 0.0498372i | ||||
\(989\) | −11.7604 | + | 11.7604i | −0.373958 | + | 0.373958i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 40.3299i | 1.28112i | 0.767907 | + | 0.640561i | \(0.221298\pi\) | ||||
−0.767907 | + | 0.640561i | \(0.778702\pi\) | |||||||
\(992\) | 5.63732 | − | 9.39370i | 0.178985 | − | 0.298250i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 24.8172 | + | 22.4979i | 0.787152 | + | 0.713589i | ||||
\(995\) | 6.51180 | − | 1.39884i | 0.206438 | − | 0.0443461i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −35.3041 | − | 35.3041i | −1.11809 | − | 1.11809i | −0.992021 | − | 0.126069i | \(-0.959764\pi\) |
−0.126069 | − | 0.992021i | \(-0.540236\pi\) | |||||||
\(998\) | −12.3090 | + | 0.603362i | −0.389636 | + | 0.0190991i | ||||
\(999\) | 0 | 0 |
(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 | 720.2.u.a.179.12 | yes | 96 | |
3.2 | odd | 2 | inner | 720.2.u.a.179.37 | yes | 96 | |
4.3 | odd | 2 | 2880.2.u.a.2159.44 | 96 | |||
5.4 | even | 2 | inner | 720.2.u.a.179.38 | yes | 96 | |
12.11 | even | 2 | 2880.2.u.a.2159.5 | 96 | |||
15.14 | odd | 2 | inner | 720.2.u.a.179.11 | ✓ | 96 | |
16.5 | even | 4 | 2880.2.u.a.719.29 | 96 | |||
16.11 | odd | 4 | inner | 720.2.u.a.539.11 | yes | 96 | |
20.19 | odd | 2 | 2880.2.u.a.2159.20 | 96 | |||
48.5 | odd | 4 | 2880.2.u.a.719.20 | 96 | |||
48.11 | even | 4 | inner | 720.2.u.a.539.38 | yes | 96 | |
60.59 | even | 2 | 2880.2.u.a.2159.29 | 96 | |||
80.59 | odd | 4 | inner | 720.2.u.a.539.37 | yes | 96 | |
80.69 | even | 4 | 2880.2.u.a.719.5 | 96 | |||
240.59 | even | 4 | inner | 720.2.u.a.539.12 | yes | 96 | |
240.149 | odd | 4 | 2880.2.u.a.719.44 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
720.2.u.a.179.11 | ✓ | 96 | 15.14 | odd | 2 | inner | |
720.2.u.a.179.12 | yes | 96 | 1.1 | even | 1 | trivial | |
720.2.u.a.179.37 | yes | 96 | 3.2 | odd | 2 | inner | |
720.2.u.a.179.38 | yes | 96 | 5.4 | even | 2 | inner | |
720.2.u.a.539.11 | yes | 96 | 16.11 | odd | 4 | inner | |
720.2.u.a.539.12 | yes | 96 | 240.59 | even | 4 | inner | |
720.2.u.a.539.37 | yes | 96 | 80.59 | odd | 4 | inner | |
720.2.u.a.539.38 | yes | 96 | 48.11 | even | 4 | inner | |
2880.2.u.a.719.5 | 96 | 80.69 | even | 4 | |||
2880.2.u.a.719.20 | 96 | 48.5 | odd | 4 | |||
2880.2.u.a.719.29 | 96 | 16.5 | even | 4 | |||
2880.2.u.a.719.44 | 96 | 240.149 | odd | 4 | |||
2880.2.u.a.2159.5 | 96 | 12.11 | even | 2 | |||
2880.2.u.a.2159.20 | 96 | 20.19 | odd | 2 | |||
2880.2.u.a.2159.29 | 96 | 60.59 | even | 2 | |||
2880.2.u.a.2159.44 | 96 | 4.3 | odd | 2 |