Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(62,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.be (of order \(18\), degree \(6\), not 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 503.13 | ||
Character | \(\chi\) | \(=\) | 567.503 |
Dual form | 567.2.be.a.62.13 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.234777 | − | 0.645045i | 0.166012 | − | 0.456116i | −0.828592 | − | 0.559852i | \(-0.810858\pi\) |
0.994605 | + | 0.103737i | \(0.0330800\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.17113 | + | 0.982692i | 0.585563 | + | 0.491346i | ||||
\(5\) | −0.231854 | + | 1.31491i | −0.103688 | + | 0.588045i | 0.888048 | + | 0.459751i | \(0.152061\pi\) |
−0.991736 | + | 0.128294i | \(0.959050\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.38106 | − | 2.25670i | 0.521990 | − | 0.852951i | ||||
\(8\) | 2.09779 | − | 1.21116i | 0.741680 | − | 0.428209i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.793741 | + | 0.458267i | 0.251003 | + | 0.144917i | ||||
\(11\) | −0.216508 | + | 0.0381762i | −0.0652796 | + | 0.0115106i | −0.206193 | − | 0.978511i | \(-0.566107\pi\) |
0.140913 | + | 0.990022i | \(0.454996\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.673991 | + | 1.85178i | 0.186932 | + | 0.513590i | 0.997390 | − | 0.0722062i | \(-0.0230040\pi\) |
−0.810458 | + | 0.585797i | \(0.800782\pi\) | |||||||
\(14\) | −1.13143 | − | 1.42066i | −0.302387 | − | 0.379689i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.242207 | + | 1.37362i | 0.0605517 | + | 0.343406i | ||||
\(17\) | 0.469803 | − | 0.813723i | 0.113944 | − | 0.197357i | −0.803413 | − | 0.595422i | \(-0.796985\pi\) |
0.917357 | + | 0.398065i | \(0.130318\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.04150 | − | 1.75601i | 0.697768 | − | 0.402857i | −0.108747 | − | 0.994069i | \(-0.534684\pi\) |
0.806516 | + | 0.591213i | \(0.201351\pi\) | |||||||
\(20\) | −1.56368 | + | 1.31208i | −0.349650 | + | 0.293391i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0262057 | + | 0.148620i | −0.00558708 | + | 0.0316859i | ||||
\(23\) | −1.17579 | + | 1.40126i | −0.245170 | + | 0.292182i | −0.874570 | − | 0.484899i | \(-0.838856\pi\) |
0.629400 | + | 0.777082i | \(0.283301\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.02323 | + | 1.10037i | 0.604647 | + | 0.220073i | ||||
\(26\) | 1.35272 | 0.265289 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.83503 | − | 1.28572i | 0.724753 | − | 0.242979i | ||||
\(29\) | 1.33239 | − | 3.66070i | 0.247418 | − | 0.679776i | −0.752361 | − | 0.658751i | \(-0.771085\pi\) |
0.999779 | − | 0.0210245i | \(-0.00669280\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.95195 | + | 7.09326i | −1.06900 | + | 1.27399i | −0.108985 | + | 0.994043i | \(0.534760\pi\) |
−0.960017 | + | 0.279943i | \(0.909684\pi\) | |||||||
\(32\) | 5.71394 | + | 1.00752i | 1.01009 | + | 0.178106i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.414589 | − | 0.494088i | −0.0711014 | − | 0.0847353i | ||||
\(35\) | 2.64715 | + | 2.33919i | 0.447450 | + | 0.395395i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.56504 | + | 2.71072i | −0.257290 | + | 0.445640i | −0.965515 | − | 0.260347i | \(-0.916163\pi\) |
0.708225 | + | 0.705987i | \(0.249496\pi\) | |||||||
\(38\) | −0.418631 | − | 2.37418i | −0.0679110 | − | 0.385142i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.10618 | + | 3.03921i | 0.174903 | + | 0.480542i | ||||
\(41\) | 10.8664 | − | 3.95506i | 1.69705 | − | 0.617676i | 0.701567 | − | 0.712603i | \(-0.252484\pi\) |
0.995484 | + | 0.0949267i | \(0.0302617\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.261843 | − | 1.48498i | −0.0399307 | − | 0.226458i | 0.958311 | − | 0.285726i | \(-0.0922346\pi\) |
−0.998242 | + | 0.0592676i | \(0.981123\pi\) | |||||||
\(44\) | −0.291074 | − | 0.168051i | −0.0438810 | − | 0.0253347i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.627824 | + | 1.08742i | 0.0925676 | + | 0.160332i | ||||
\(47\) | −5.18484 | + | 4.35059i | −0.756286 | + | 0.634599i | −0.937157 | − | 0.348907i | \(-0.886553\pi\) |
0.180871 | + | 0.983507i | \(0.442108\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.18536 | − | 6.23325i | −0.455052 | − | 0.890465i | ||||
\(50\) | 1.41957 | − | 1.69178i | 0.200758 | − | 0.239254i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.03040 | + | 2.83099i | −0.142890 | + | 0.392588i | ||||
\(53\) | 3.77077i | 0.517954i | 0.965883 | + | 0.258977i | \(0.0833855\pi\) | ||||
−0.965883 | + | 0.258977i | \(0.916615\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 0.293540i | − | 0.0395809i | ||||||
\(56\) | 0.163947 | − | 6.40675i | 0.0219083 | − | 0.856138i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.04850 | − | 1.71890i | −0.268982 | − | 0.225703i | ||||
\(59\) | 1.72130 | − | 9.76195i | 0.224094 | − | 1.27090i | −0.640317 | − | 0.768111i | \(-0.721197\pi\) |
0.864410 | − | 0.502787i | \(-0.167692\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.04827 | − | 7.20805i | −0.774402 | − | 0.922896i | 0.224264 | − | 0.974528i | \(-0.428002\pi\) |
−0.998666 | + | 0.0516319i | \(0.983558\pi\) | |||||||
\(62\) | 3.17809 | + | 5.50461i | 0.403617 | + | 0.699086i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.596586 | − | 1.03332i | 0.0745733 | − | 0.129165i | ||||
\(65\) | −2.59119 | + | 0.456896i | −0.321397 | + | 0.0566710i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.36714 | + | 2.31745i | −0.777871 | + | 0.283122i | −0.700284 | − | 0.713864i | \(-0.746943\pi\) |
−0.0775861 | + | 0.996986i | \(0.524721\pi\) | |||||||
\(68\) | 1.34984 | − | 0.491301i | 0.163692 | − | 0.0595790i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.13037 | − | 1.15834i | 0.254628 | − | 0.138448i | ||||
\(71\) | −11.8706 | − | 6.85351i | −1.40879 | − | 0.813362i | −0.413514 | − | 0.910498i | \(-0.635699\pi\) |
−0.995271 | + | 0.0971354i | \(0.969032\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.68223 | − | 4.43534i | 0.899137 | − | 0.519117i | 0.0222170 | − | 0.999753i | \(-0.492928\pi\) |
0.876920 | + | 0.480636i | \(0.159594\pi\) | |||||||
\(74\) | 1.38110 | + | 1.64593i | 0.160550 | + | 0.191336i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.28760 | + | 0.932347i | 0.606529 | + | 0.106948i | ||||
\(77\) | −0.212858 | + | 0.541316i | −0.0242574 | + | 0.0616887i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.91776 | − | 2.88183i | −0.890818 | − | 0.324231i | −0.144251 | − | 0.989541i | \(-0.546077\pi\) |
−0.746567 | + | 0.665310i | \(0.768299\pi\) | |||||||
\(80\) | −1.86235 | −0.208217 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | − | 7.93789i | − | 0.876594i | ||||||
\(83\) | −16.1714 | − | 5.88589i | −1.77504 | − | 0.646061i | −0.999898 | − | 0.0142697i | \(-0.995458\pi\) |
−0.775139 | − | 0.631791i | \(-0.782320\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.961047 | + | 0.806414i | 0.104240 | + | 0.0874679i | ||||
\(86\) | −1.01936 | − | 0.179740i | −0.109920 | − | 0.0193819i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.407950 | + | 0.342311i | −0.0434876 | + | 0.0364904i | ||||
\(89\) | 3.46240 | + | 5.99705i | 0.367014 | + | 0.635686i | 0.989097 | − | 0.147265i | \(-0.0470469\pi\) |
−0.622084 | + | 0.782951i | \(0.713714\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.10972 | + | 1.03641i | 0.535644 | + | 0.108646i | ||||
\(92\) | −2.75401 | + | 0.485606i | −0.287125 | + | 0.0506279i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.58905 | + | 4.36587i | 0.163898 | + | 0.450305i | ||||
\(95\) | 1.60381 | + | 4.40644i | 0.164548 | + | 0.452091i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.42872 | + | 0.780904i | −0.449669 | + | 0.0792887i | −0.393897 | − | 0.919155i | \(-0.628873\pi\) |
−0.0557722 | + | 0.998444i | \(0.517762\pi\) | |||||||
\(98\) | −4.76858 | + | 0.591277i | −0.481699 | + | 0.0597280i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.45927 | + | 4.25957i | 0.245927 | + | 0.425957i | ||||
\(101\) | −0.750944 | + | 0.630116i | −0.0747217 | + | 0.0626989i | −0.679384 | − | 0.733783i | \(-0.737753\pi\) |
0.604662 | + | 0.796482i | \(0.293308\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.1659 | + | 2.32150i | 1.29727 | + | 0.228744i | 0.779299 | − | 0.626652i | \(-0.215575\pi\) |
0.517974 | + | 0.855396i | \(0.326686\pi\) | |||||||
\(104\) | 3.65668 | + | 3.06832i | 0.358567 | + | 0.300874i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.43231 | + | 0.885289i | 0.236247 | + | 0.0859869i | ||||
\(107\) | 18.7220i | 1.80992i | 0.425496 | + | 0.904960i | \(0.360100\pi\) | ||||
−0.425496 | + | 0.904960i | \(0.639900\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.24050 | −0.501949 | −0.250975 | − | 0.967994i | \(-0.580751\pi\) | ||||
−0.250975 | + | 0.967994i | \(0.580751\pi\) | |||||||
\(110\) | −0.189346 | − | 0.0689164i | −0.0180534 | − | 0.00657092i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.43435 | + | 1.35046i | 0.324516 | + | 0.127607i | ||||
\(113\) | −8.07557 | − | 1.42394i | −0.759686 | − | 0.133953i | −0.219631 | − | 0.975583i | \(-0.570485\pi\) |
−0.540055 | + | 0.841630i | \(0.681596\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.56991 | − | 1.87095i | −0.146395 | − | 0.174467i | ||||
\(116\) | 5.15774 | − | 2.97782i | 0.478884 | − | 0.276484i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.89278 | − | 3.40220i | −0.542474 | − | 0.313198i | ||||
\(119\) | −1.18750 | − | 2.18400i | −0.108858 | − | 0.200207i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.2912 | + | 3.74569i | −0.935564 | + | 0.340517i | ||||
\(122\) | −6.06951 | + | 2.20912i | −0.549508 | + | 0.200004i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −13.9410 | + | 2.45817i | −1.25194 | + | 0.220750i | ||||
\(125\) | −5.48582 | + | 9.50171i | −0.490666 | + | 0.849859i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.479905 | − | 0.831220i | −0.0425847 | − | 0.0737588i | 0.843947 | − | 0.536426i | \(-0.180226\pi\) |
−0.886532 | + | 0.462667i | \(0.846893\pi\) | |||||||
\(128\) | 6.93255 | + | 8.26189i | 0.612757 | + | 0.730255i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.313633 | + | 1.77870i | −0.0275074 | + | 0.156002i | ||||
\(131\) | −3.74843 | − | 3.14531i | −0.327502 | − | 0.274807i | 0.464179 | − | 0.885741i | \(-0.346349\pi\) |
−0.791681 | + | 0.610935i | \(0.790794\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.237700 | − | 9.28890i | 0.0206112 | − | 0.805450i | ||||
\(134\) | 4.65118i | 0.401801i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | − | 2.27602i | − | 0.195167i | ||||||
\(137\) | −3.97977 | + | 10.9343i | −0.340015 | + | 0.934183i | 0.645375 | + | 0.763866i | \(0.276701\pi\) |
−0.985389 | + | 0.170317i | \(0.945521\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.90509 | − | 7.03742i | 0.500864 | − | 0.596906i | −0.455082 | − | 0.890449i | \(-0.650390\pi\) |
0.955946 | + | 0.293544i | \(0.0948346\pi\) | |||||||
\(140\) | 0.801444 | + | 5.34082i | 0.0677344 | + | 0.451381i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.20778 | + | 6.04804i | −0.604863 | + | 0.507540i | ||||
\(143\) | −0.216618 | − | 0.375194i | −0.0181145 | − | 0.0313753i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.50458 | + | 2.60072i | 0.374085 | + | 0.215978i | ||||
\(146\) | −1.05738 | − | 5.99670i | −0.0875094 | − | 0.496290i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.49666 | + | 1.63665i | −0.369623 | + | 0.134532i | ||||
\(149\) | 5.20678 | + | 14.3055i | 0.426556 | + | 1.17195i | 0.947889 | + | 0.318600i | \(0.103213\pi\) |
−0.521333 | + | 0.853353i | \(0.674565\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.95736 | − | 11.1008i | −0.159288 | − | 0.903366i | −0.954760 | − | 0.297376i | \(-0.903888\pi\) |
0.795472 | − | 0.605990i | \(-0.207223\pi\) | |||||||
\(152\) | 4.25361 | − | 7.36748i | 0.345014 | − | 0.597581i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.299199 | + | 0.264391i | 0.0241101 | + | 0.0213053i | ||||
\(155\) | −7.94701 | − | 9.47087i | −0.638319 | − | 0.760719i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −12.3894 | − | 2.18459i | −0.988784 | − | 0.174349i | −0.344211 | − | 0.938892i | \(-0.611854\pi\) |
−0.644573 | + | 0.764543i | \(0.722965\pi\) | |||||||
\(158\) | −3.71782 | + | 4.43072i | −0.295774 | + | 0.352489i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.64960 | + | 7.27972i | −0.209469 | + | 0.575512i | ||||
\(161\) | 1.53837 | + | 4.58863i | 0.121241 | + | 0.361635i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −15.4955 | −1.21370 | −0.606850 | − | 0.794816i | \(-0.707567\pi\) | ||||
−0.606850 | + | 0.794816i | \(0.707567\pi\) | |||||||
\(164\) | 16.6126 | + | 6.04648i | 1.29722 | + | 0.472151i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.59333 | + | 9.04938i | −0.589357 | + | 0.702368i | ||||
\(167\) | 3.86013 | − | 21.8919i | 0.298706 | − | 1.69405i | −0.353040 | − | 0.935608i | \(-0.614852\pi\) |
0.651746 | − | 0.758437i | \(-0.274037\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.98377 | − | 5.86008i | 0.537213 | − | 0.450775i | ||||
\(170\) | 0.745805 | − | 0.430591i | 0.0572006 | − | 0.0330248i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.15263 | − | 1.99642i | 0.0878873 | − | 0.152225i | ||||
\(173\) | −0.814058 | − | 4.61675i | −0.0618917 | − | 0.351005i | −0.999989 | − | 0.00463414i | \(-0.998525\pi\) |
0.938098 | − | 0.346371i | \(-0.112586\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.65845 | − | 5.30285i | 0.503332 | − | 0.400858i | ||||
\(176\) | −0.104879 | − | 0.288154i | −0.00790558 | − | 0.0217204i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.68126 | − | 0.825432i | 0.350875 | − | 0.0618688i | ||||
\(179\) | −13.7669 | − | 7.94833i | −1.02899 | − | 0.594086i | −0.112293 | − | 0.993675i | \(-0.535820\pi\) |
−0.916694 | + | 0.399589i | \(0.869153\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.81888 | + | 2.78218i | −0.358185 | + | 0.206798i | −0.668284 | − | 0.743906i | \(-0.732971\pi\) |
0.310100 | + | 0.950704i | \(0.399638\pi\) | |||||||
\(182\) | 1.86818 | − | 3.05267i | 0.138479 | − | 0.226279i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.769423 | + | 4.36361i | −0.0567226 | + | 0.321690i | ||||
\(185\) | −3.20150 | − | 2.68637i | −0.235379 | − | 0.197506i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.0706513 | + | 0.194113i | −0.00516653 | + | 0.0141949i | ||||
\(188\) | −10.3474 | −0.754661 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.21889 | 0.233523 | ||||||||
\(191\) | −0.626662 | + | 1.72174i | −0.0453437 | + | 0.124581i | −0.960298 | − | 0.278978i | \(-0.910004\pi\) |
0.914954 | + | 0.403558i | \(0.132227\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.0889424 | + | 0.0746315i | 0.00640221 | + | 0.00537209i | 0.645983 | − | 0.763352i | \(-0.276448\pi\) |
−0.639581 | + | 0.768724i | \(0.720892\pi\) | |||||||
\(194\) | −0.536045 | + | 3.04006i | −0.0384858 | + | 0.218264i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.39490 | − | 10.4302i | 0.171065 | − | 0.745011i | ||||
\(197\) | 13.5481 | − | 7.82201i | 0.965264 | − | 0.557295i | 0.0674749 | − | 0.997721i | \(-0.478506\pi\) |
0.897789 | + | 0.440425i | \(0.145172\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.33355 | + | 4.81138i | 0.590750 | + | 0.341069i | 0.765394 | − | 0.643562i | \(-0.222544\pi\) |
−0.174644 | + | 0.984632i | \(0.555878\pi\) | |||||||
\(200\) | 7.67481 | − | 1.35328i | 0.542691 | − | 0.0956911i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.230149 | + | 0.632329i | 0.0161932 | + | 0.0444905i | ||||
\(203\) | −6.42100 | − | 8.06244i | −0.450666 | − | 0.565872i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.68112 | + | 15.2054i | 0.187257 | + | 1.06199i | ||||
\(206\) | 4.58852 | − | 7.94755i | 0.319697 | − | 0.553732i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.38040 | + | 1.37432i | −0.165051 | + | 0.0952922i | ||||
\(209\) | −0.591471 | + | 0.496303i | −0.0409129 | + | 0.0343300i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.41262 | − | 13.6827i | 0.166092 | − | 0.941954i | −0.781840 | − | 0.623479i | \(-0.785719\pi\) |
0.947932 | − | 0.318474i | \(-0.103170\pi\) | |||||||
\(212\) | −3.70550 | + | 4.41604i | −0.254495 | + | 0.303295i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 12.0765 | + | 4.39549i | 0.825533 | + | 0.300469i | ||||
\(215\) | 2.01333 | 0.137308 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.78735 | + | 23.2279i | 0.528640 | + | 1.57682i | ||||
\(218\) | −1.23035 | + | 3.38036i | −0.0833298 | + | 0.228947i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.288459 | − | 0.343772i | 0.0194479 | − | 0.0231771i | ||||
\(221\) | 1.82348 | + | 0.321528i | 0.122660 | + | 0.0216283i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.6645 | + | 13.9012i | 0.781115 | + | 0.930896i | 0.998983 | − | 0.0450820i | \(-0.0143549\pi\) |
−0.217869 | + | 0.975978i | \(0.569910\pi\) | |||||||
\(224\) | 10.1650 | − | 11.5032i | 0.679175 | − | 0.768590i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.81446 | + | 4.87479i | −0.187215 | + | 0.324267i | ||||
\(227\) | 4.49086 | + | 25.4689i | 0.298069 | + | 1.69043i | 0.654462 | + | 0.756095i | \(0.272895\pi\) |
−0.356393 | + | 0.934336i | \(0.615994\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.70816 | − | 10.1881i | −0.245042 | − | 0.673247i | −0.999850 | − | 0.0173016i | \(-0.994492\pi\) |
0.754809 | − | 0.655945i | \(-0.227730\pi\) | |||||||
\(230\) | −1.57543 | + | 0.573409i | −0.103881 | + | 0.0378094i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.63863 | − | 9.29311i | −0.107581 | − | 0.610122i | ||||
\(233\) | −2.36196 | − | 1.36368i | −0.154737 | − | 0.0893375i | 0.420632 | − | 0.907231i | \(-0.361808\pi\) |
−0.575369 | + | 0.817894i | \(0.695142\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.51851 | − | 7.82629i | −0.294755 | − | 0.510531i | ||||
\(236\) | 11.6088 | − | 9.74098i | 0.755672 | − | 0.634084i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.68758 | + | 0.253238i | −0.109389 | + | 0.0164150i | ||||
\(239\) | 19.4562 | − | 23.1870i | 1.25852 | − | 1.49984i | 0.472919 | − | 0.881106i | \(-0.343200\pi\) |
0.785599 | − | 0.618736i | \(-0.212355\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.39131 | − | 23.0549i | 0.540531 | − | 1.48510i | −0.305619 | − | 0.952154i | \(-0.598863\pi\) |
0.846150 | − | 0.532944i | \(-0.178914\pi\) | |||||||
\(242\) | 7.51769i | 0.483255i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 14.3851i | − | 0.920914i | ||||||
\(245\) | 8.93470 | − | 2.74326i | 0.570817 | − | 0.175260i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.30169 | + | 4.44864i | 0.337338 | + | 0.283060i | ||||
\(248\) | −3.89487 | + | 22.0889i | −0.247324 | + | 1.40265i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.84109 | + | 5.76938i | 0.306177 | + | 0.364888i | ||||
\(251\) | 12.0630 | + | 20.8937i | 0.761409 | + | 1.31880i | 0.942124 | + | 0.335264i | \(0.108826\pi\) |
−0.180715 | + | 0.983536i | \(0.557841\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.201074 | − | 0.348271i | 0.0126414 | − | 0.0218956i | ||||
\(254\) | −0.648845 | + | 0.114409i | −0.0407121 | + | 0.00717865i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 9.19933 | − | 3.34828i | 0.574958 | − | 0.209268i | ||||
\(257\) | −11.0337 | + | 4.01595i | −0.688265 | + | 0.250508i | −0.662392 | − | 0.749157i | \(-0.730459\pi\) |
−0.0258727 | + | 0.999665i | \(0.508236\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.95588 | + | 7.27548i | 0.245806 | + | 0.452076i | ||||
\(260\) | −3.48359 | − | 2.01125i | −0.216043 | − | 0.124733i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.90891 | + | 1.67946i | −0.179713 | + | 0.103757i | ||||
\(263\) | −12.7126 | − | 15.1503i | −0.783891 | − | 0.934205i | 0.215211 | − | 0.976568i | \(-0.430956\pi\) |
−0.999102 | + | 0.0423623i | \(0.986512\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.95821 | − | 0.874267i | −0.304581 | − | 0.0537058i | ||||
\(266\) | −5.93595 | − | 2.33415i | −0.363956 | − | 0.143116i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −9.73407 | − | 3.54291i | −0.594603 | − | 0.216418i | ||||
\(269\) | −17.1269 | −1.04424 | −0.522122 | − | 0.852871i | \(-0.674859\pi\) | ||||
−0.522122 | + | 0.852871i | \(0.674859\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 16.5484i | 1.00525i | 0.864506 | + | 0.502623i | \(0.167632\pi\) | ||||
−0.864506 | + | 0.502623i | \(0.832368\pi\) | |||||||
\(272\) | 1.23154 | + | 0.448244i | 0.0746730 | + | 0.0271788i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.11877 | + | 5.13426i | 0.369649 | + | 0.310172i | ||||
\(275\) | −0.696561 | − | 0.122823i | −0.0420042 | − | 0.00740648i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.1995 | + | 11.0757i | −0.793078 | + | 0.665472i | −0.946505 | − | 0.322688i | \(-0.895413\pi\) |
0.153427 | + | 0.988160i | \(0.450969\pi\) | |||||||
\(278\) | −3.15307 | − | 5.46127i | −0.189108 | − | 0.327545i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 8.38628 | + | 1.70100i | 0.501176 | + | 0.101654i | ||||
\(281\) | 14.1177 | − | 2.48933i | 0.842190 | − | 0.148501i | 0.264122 | − | 0.964489i | \(-0.414918\pi\) |
0.578068 | + | 0.815988i | \(0.303807\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.76130 | − | 13.0816i | −0.283030 | − | 0.777618i | −0.996997 | − | 0.0774390i | \(-0.975326\pi\) |
0.713967 | − | 0.700179i | \(-0.246897\pi\) | |||||||
\(284\) | −7.16712 | − | 19.6915i | −0.425290 | − | 1.16848i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.292874 | + | 0.0516415i | −0.0173180 | + | 0.00305363i | ||||
\(287\) | 6.08179 | − | 29.9844i | 0.358997 | − | 1.76992i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.05857 | + | 13.9579i | 0.474034 | + | 0.821050i | ||||
\(290\) | 2.73515 | − | 2.29506i | 0.160614 | − | 0.134771i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 13.3554 | + | 2.35492i | 0.781568 | + | 0.137811i | ||||
\(293\) | 9.24858 | + | 7.76048i | 0.540308 | + | 0.453372i | 0.871643 | − | 0.490141i | \(-0.163055\pi\) |
−0.331335 | + | 0.943513i | \(0.607499\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.4370 | + | 4.52670i | 0.724110 | + | 0.263554i | ||||
\(296\) | 7.58203i | 0.440696i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.4501 | 0.605359 | ||||||||
\(299\) | −3.38729 | − | 1.23287i | −0.195892 | − | 0.0712989i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.71278 | − | 1.45995i | −0.214001 | − | 0.0841500i | ||||
\(302\) | −7.62002 | − | 1.34362i | −0.438483 | − | 0.0773164i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.14877 | + | 3.75256i | 0.180594 | + | 0.215224i | ||||
\(305\) | 10.8803 | − | 6.28172i | 0.623001 | − | 0.359690i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −19.5181 | − | 11.2688i | −1.11396 | − | 0.643144i | −0.174107 | − | 0.984727i | \(-0.555704\pi\) |
−0.939852 | + | 0.341583i | \(0.889037\pi\) | |||||||
\(308\) | −0.781230 | + | 0.424776i | −0.0445147 | + | 0.0242039i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −7.97491 | + | 2.90263i | −0.452945 | + | 0.164858i | ||||
\(311\) | −2.46202 | + | 0.896103i | −0.139608 | + | 0.0508133i | −0.410879 | − | 0.911690i | \(-0.634778\pi\) |
0.271271 | + | 0.962503i | \(0.412556\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.70705 | − | 1.00631i | 0.322582 | − | 0.0568798i | −0.0100126 | − | 0.999950i | \(-0.503187\pi\) |
0.332594 | + | 0.943070i | \(0.392076\pi\) | |||||||
\(314\) | −4.31791 | + | 7.47885i | −0.243674 | + | 0.422056i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.44075 | − | 11.1557i | −0.362320 | − | 0.627557i | ||||
\(317\) | 9.51195 | + | 11.3359i | 0.534244 | + | 0.636687i | 0.963887 | − | 0.266312i | \(-0.0858050\pi\) |
−0.429643 | + | 0.902999i | \(0.641361\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.148721 | + | 0.843437i | −0.00832676 | + | 0.0472234i | ||||
\(320\) | 1.22040 | + | 1.02404i | 0.0682223 | + | 0.0572453i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.32105 | + | 0.0849845i | 0.185075 | + | 0.00473600i | ||||
\(323\) | − | 3.29992i | − | 0.183612i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.33999i | 0.351679i | ||||||||
\(326\) | −3.63798 | + | 9.99528i | −0.201489 | + | 0.553587i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 18.0053 | − | 21.4578i | 0.994174 | − | 1.18481i | ||||
\(329\) | 2.65742 | + | 17.7090i | 0.146508 | + | 0.976330i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.87879 | − | 6.61109i | 0.433057 | − | 0.363378i | −0.400047 | − | 0.916495i | \(-0.631006\pi\) |
0.833104 | + | 0.553117i | \(0.186562\pi\) | |||||||
\(332\) | −13.1547 | − | 22.7846i | −0.721957 | − | 1.25047i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −13.2150 | − | 7.62967i | −0.723092 | − | 0.417477i | ||||
\(335\) | −1.57099 | − | 8.90953i | −0.0858324 | − | 0.486780i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 25.9383 | − | 9.44078i | 1.41295 | − | 0.514272i | 0.480957 | − | 0.876744i | \(-0.340289\pi\) |
0.931995 | + | 0.362472i | \(0.118067\pi\) | |||||||
\(338\) | −2.14038 | − | 5.88065i | −0.116421 | − | 0.319865i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.333051 | + | 1.88883i | 0.0180622 | + | 0.102436i | ||||
\(341\) | 1.01785 | − | 1.76297i | 0.0551197 | − | 0.0954701i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.4657 | − | 1.42008i | −0.997056 | − | 0.0766769i | ||||
\(344\) | −2.34784 | − | 2.79805i | −0.126587 | − | 0.150861i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.16913 | − | 0.558804i | −0.170374 | − | 0.0300415i | ||||
\(347\) | −4.96950 | + | 5.92242i | −0.266777 | + | 0.317932i | −0.882757 | − | 0.469829i | \(-0.844316\pi\) |
0.615981 | + | 0.787761i | \(0.288760\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −10.3198 | + | 28.3535i | −0.552407 | + | 1.51773i | 0.278007 | + | 0.960579i | \(0.410326\pi\) |
−0.830414 | + | 0.557147i | \(0.811896\pi\) | |||||||
\(350\) | −1.85732 | − | 5.53999i | −0.0992782 | − | 0.296125i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.27558 | −0.0679885 | ||||||||
\(353\) | 13.2988 | + | 4.84037i | 0.707824 | + | 0.257627i | 0.670748 | − | 0.741685i | \(-0.265973\pi\) |
0.0370764 | + | 0.999312i | \(0.488196\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.7640 | − | 14.0198i | 0.624369 | − | 0.744093i | ||||
\(356\) | −1.83835 | + | 10.4258i | −0.0974321 | + | 0.552565i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −8.35919 | + | 7.01419i | −0.441797 | + | 0.370711i | ||||
\(359\) | 22.1647 | − | 12.7968i | 1.16981 | − | 0.675389i | 0.216174 | − | 0.976355i | \(-0.430642\pi\) |
0.953635 | + | 0.300966i | \(0.0973089\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.33285 | + | 5.77266i | −0.175413 | + | 0.303824i | ||||
\(362\) | 0.663269 | + | 3.76159i | 0.0348607 | + | 0.197705i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.96565 | + | 6.23505i | 0.260271 | + | 0.326805i | ||||
\(365\) | 4.05091 | + | 11.1298i | 0.212034 | + | 0.582560i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.3863 | − | 3.06568i | 0.907559 | − | 0.160027i | 0.299664 | − | 0.954045i | \(-0.403125\pi\) |
0.607895 | + | 0.794017i | \(0.292014\pi\) | |||||||
\(368\) | −2.20959 | − | 1.27571i | −0.115183 | − | 0.0665007i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.48447 | + | 1.43441i | −0.129161 | + | 0.0745714i | ||||
\(371\) | 8.50947 | + | 5.20764i | 0.441790 | + | 0.270367i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.01057 | + | 5.73121i | −0.0523252 | + | 0.296751i | −0.999729 | − | 0.0232906i | \(-0.992586\pi\) |
0.947404 | + | 0.320041i | \(0.103697\pi\) | |||||||
\(374\) | 0.108624 | + | 0.0911465i | 0.00561682 | + | 0.00471307i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.60743 | + | 15.4063i | −0.289181 | + | 0.794518i | ||||
\(377\) | 7.67682 | 0.395377 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 28.0324 | 1.43993 | 0.719964 | − | 0.694011i | \(-0.244158\pi\) | ||||
0.719964 | + | 0.694011i | \(0.244158\pi\) | |||||||
\(380\) | −2.45190 | + | 6.73655i | −0.125780 | + | 0.345578i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.963473 | + | 0.808450i | 0.0492956 | + | 0.0413639i | ||||
\(383\) | −0.202834 | + | 1.15033i | −0.0103643 | + | 0.0587790i | −0.989551 | − | 0.144181i | \(-0.953945\pi\) |
0.979187 | + | 0.202960i | \(0.0650563\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.662430 | − | 0.405395i | −0.0337606 | − | 0.0206608i | ||||
\(386\) | 0.0690223 | − | 0.0398500i | 0.00351314 | − | 0.00202831i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −5.95398 | − | 3.43753i | −0.302268 | − | 0.174514i | ||||
\(389\) | 22.4622 | − | 3.96069i | 1.13888 | − | 0.200815i | 0.427763 | − | 0.903891i | \(-0.359302\pi\) |
0.711115 | + | 0.703076i | \(0.248191\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.587844 | + | 1.61509i | 0.0297285 | + | 0.0816785i | ||||
\(392\) | −14.2317 | − | 9.21806i | −0.718808 | − | 0.465582i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.86476 | − | 10.5756i | −0.0939452 | − | 0.532790i | ||||
\(395\) | 5.62511 | − | 9.74298i | 0.283030 | − | 0.490222i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.0866 | + | 7.55554i | −0.656797 | + | 0.379202i | −0.791055 | − | 0.611745i | \(-0.790468\pi\) |
0.134259 | + | 0.990946i | \(0.457135\pi\) | |||||||
\(398\) | 5.06008 | − | 4.24591i | 0.253639 | − | 0.212828i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.779242 | + | 4.41930i | −0.0389621 | + | 0.220965i | ||||
\(401\) | 2.49029 | − | 2.96781i | 0.124359 | − | 0.148205i | −0.700272 | − | 0.713876i | \(-0.746938\pi\) |
0.824631 | + | 0.565670i | \(0.191383\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −17.1467 | − | 6.24088i | −0.854137 | − | 0.310881i | ||||
\(404\) | −1.49866 | −0.0745611 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −6.70814 | + | 2.24896i | −0.332919 | + | 0.111614i | ||||
\(407\) | 0.235358 | − | 0.646640i | 0.0116663 | − | 0.0320528i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −15.1865 | + | 18.0986i | −0.750926 | + | 0.894919i | −0.997238 | − | 0.0742715i | \(-0.976337\pi\) |
0.246312 | + | 0.969191i | \(0.420781\pi\) | |||||||
\(410\) | 10.4376 | + | 1.84043i | 0.515477 | + | 0.0908925i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 13.1376 | + | 15.6568i | 0.647243 | + | 0.771354i | ||||
\(413\) | −19.6526 | − | 17.3663i | −0.967040 | − | 0.854538i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 11.4888 | − | 19.8992i | 0.563963 | − | 0.976813i | ||||
\(416\) | 1.98544 | + | 11.2600i | 0.0973443 | + | 0.552067i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.181274 | + | 0.498046i | 0.00886640 | + | 0.0243602i | ||||
\(419\) | 19.8064 | − | 7.20893i | 0.967605 | − | 0.352179i | 0.190596 | − | 0.981669i | \(-0.438958\pi\) |
0.777009 | + | 0.629489i | \(0.216736\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.68706 | + | 15.2391i | 0.130959 | + | 0.742708i | 0.977589 | + | 0.210524i | \(0.0675172\pi\) |
−0.846629 | + | 0.532183i | \(0.821372\pi\) | |||||||
\(422\) | −8.25950 | − | 4.76863i | −0.402066 | − | 0.232133i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.56699 | + | 7.91026i | 0.221793 | + | 0.384156i | ||||
\(425\) | 2.31572 | − | 1.94312i | 0.112329 | − | 0.0942551i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −24.6194 | + | 3.69439i | −1.19142 | + | 0.178784i | ||||
\(428\) | −18.3979 | + | 21.9258i | −0.889297 | + | 1.05982i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.472684 | − | 1.29869i | 0.0227948 | − | 0.0626283i | ||||
\(431\) | 22.9807i | 1.10694i | 0.832868 | + | 0.553472i | \(0.186697\pi\) | ||||
−0.832868 | + | 0.553472i | \(0.813303\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 24.6163i | − | 1.18299i | −0.806310 | − | 0.591493i | \(-0.798539\pi\) | ||
0.806310 | − | 0.591493i | \(-0.201461\pi\) | |||||||
\(434\) | 16.8114 | + | 0.430197i | 0.806971 | + | 0.0206501i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.13729 | − | 5.14980i | −0.293923 | − | 0.246631i | ||||
\(437\) | −1.11556 | + | 6.32664i | −0.0533643 | + | 0.302644i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.4166 | + | 14.7975i | 0.592613 | + | 0.706248i | 0.976106 | − | 0.217296i | \(-0.0697235\pi\) |
−0.383493 | + | 0.923544i | \(0.625279\pi\) | |||||||
\(440\) | −0.355523 | − | 0.615783i | −0.0169489 | − | 0.0293563i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.635511 | − | 1.10074i | 0.0302282 | − | 0.0523567i | ||||
\(443\) | −19.7211 | + | 3.47737i | −0.936980 | + | 0.165215i | −0.621231 | − | 0.783628i | \(-0.713367\pi\) |
−0.315749 | + | 0.948843i | \(0.602256\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.68835 | + | 3.16230i | −0.411867 | + | 0.149907i | ||||
\(446\) | 11.7055 | − | 4.26045i | 0.554271 | − | 0.201738i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.50797 | − | 2.77338i | −0.0712447 | − | 0.131030i | ||||
\(449\) | 10.4575 | + | 6.03767i | 0.493522 | + | 0.284935i | 0.726034 | − | 0.687658i | \(-0.241361\pi\) |
−0.232512 | + | 0.972593i | \(0.574695\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.20168 | + | 1.27114i | −0.103673 | + | 0.0598557i | ||||
\(452\) | −8.05822 | − | 9.60341i | −0.379027 | − | 0.451706i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 17.4829 | + | 3.08271i | 0.820515 | + | 0.144679i | ||||
\(455\) | −2.54750 | + | 6.47852i | −0.119429 | + | 0.303718i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 16.7442 | + | 6.09438i | 0.783259 | + | 0.285083i | 0.702531 | − | 0.711653i | \(-0.252053\pi\) |
0.0807282 | + | 0.996736i | \(0.474275\pi\) | |||||||
\(458\) | −7.44235 | −0.347758 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 3.73386i | − | 0.174092i | ||||||
\(461\) | −11.0937 | − | 4.03778i | −0.516685 | − | 0.188058i | 0.0704983 | − | 0.997512i | \(-0.477541\pi\) |
−0.587183 | + | 0.809454i | \(0.699763\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.77577 | − | 4.84645i | −0.268423 | − | 0.225234i | 0.498634 | − | 0.866813i | \(-0.333835\pi\) |
−0.767057 | + | 0.641579i | \(0.778280\pi\) | |||||||
\(464\) | 5.35114 | + | 0.943551i | 0.248421 | + | 0.0438033i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.43417 | + | 1.20341i | −0.0664365 | + | 0.0557468i | ||||
\(467\) | 5.54773 | + | 9.60896i | 0.256719 | + | 0.444650i | 0.965361 | − | 0.260918i | \(-0.0840253\pi\) |
−0.708642 | + | 0.705568i | \(0.750692\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.56360 | + | 17.5692i | −0.164552 | + | 0.811273i | ||||
\(470\) | −6.10915 | + | 1.07721i | −0.281794 | + | 0.0496879i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.21235 | − | 22.5633i | −0.378004 | − | 1.03856i | ||||
\(473\) | 0.113382 | + | 0.311515i | 0.00521331 | + | 0.0143235i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.1274 | − | 1.96206i | 0.510561 | − | 0.0900257i | ||||
\(476\) | 0.755486 | − | 3.72469i | 0.0346276 | − | 0.170721i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −10.3888 | − | 17.9939i | −0.475172 | − | 0.823022i | ||||
\(479\) | −0.344634 | + | 0.289182i | −0.0157467 | + | 0.0132131i | −0.650627 | − | 0.759397i | \(-0.725494\pi\) |
0.634880 | + | 0.772611i | \(0.281049\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.07448 | − | 1.07109i | −0.276972 | − | 0.0488377i | ||||
\(482\) | −12.9014 | − | 10.8255i | −0.587641 | − | 0.493090i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −15.7332 | − | 5.72640i | −0.715143 | − | 0.260291i | ||||
\(485\) | − | 6.00443i | − | 0.272647i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −24.3678 | −1.10421 | −0.552105 | − | 0.833774i | \(-0.686175\pi\) | ||||
−0.552105 | + | 0.833774i | \(0.686175\pi\) | |||||||
\(488\) | −21.4181 | − | 7.79554i | −0.969551 | − | 0.352888i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.328138 | − | 6.40734i | 0.0148238 | − | 0.289454i | ||||
\(491\) | −12.6614 | − | 2.23255i | −0.571402 | − | 0.100754i | −0.119521 | − | 0.992832i | \(-0.538136\pi\) |
−0.451881 | + | 0.892078i | \(0.649247\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.35284 | − | 2.80401i | −0.105967 | − | 0.126286i | ||||
\(494\) | 4.11429 | − | 2.37539i | 0.185111 | − | 0.106874i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −11.1851 | − | 6.45770i | −0.502224 | − | 0.289959i | ||||
\(497\) | −31.8603 | + | 17.3233i | −1.42913 | + | 0.777058i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 27.7006 | − | 10.0822i | 1.24005 | − | 0.451341i | 0.363022 | − | 0.931781i | \(-0.381745\pi\) |
0.877028 | + | 0.480439i | \(0.159523\pi\) | |||||||
\(500\) | −15.7618 | + | 5.73684i | −0.704891 | + | 0.256559i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 16.3095 | − | 2.87580i | 0.727929 | − | 0.128353i | ||||
\(503\) | −6.61558 | + | 11.4585i | −0.294974 | + | 0.510910i | −0.974979 | − | 0.222298i | \(-0.928644\pi\) |
0.680005 | + | 0.733208i | \(0.261978\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.654437 | − | 1.13352i | −0.0291221 | − | 0.0504409i | ||||
\(506\) | −0.177443 | − | 0.211468i | −0.00788829 | − | 0.00940089i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.254803 | − | 1.44506i | 0.0113051 | − | 0.0641143i | ||||
\(509\) | 10.7916 | + | 9.05526i | 0.478331 | + | 0.401367i | 0.849823 | − | 0.527069i | \(-0.176709\pi\) |
−0.371491 | + | 0.928436i | \(0.621153\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.600383 | − | 23.4619i | 0.0265594 | − | 1.03789i | ||||
\(512\) | 14.8502i | 0.656292i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 8.06010i | 0.355516i | ||||||||
\(515\) | −6.10512 | + | 16.7737i | −0.269024 | + | 0.739137i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.956469 | − | 1.13988i | 0.0420655 | − | 0.0501317i | ||||
\(518\) | 5.62176 | − | 0.843602i | 0.247006 | − | 0.0370658i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.88238 | + | 4.09680i | −0.214107 | + | 0.179657i | ||||
\(521\) | −4.03394 | − | 6.98699i | −0.176730 | − | 0.306105i | 0.764029 | − | 0.645182i | \(-0.223219\pi\) |
−0.940759 | + | 0.339077i | \(0.889885\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.5643 | − | 6.09931i | −0.461945 | − | 0.266704i | 0.250917 | − | 0.968009i | \(-0.419268\pi\) |
−0.712862 | + | 0.701305i | \(0.752601\pi\) | |||||||
\(524\) | −1.29902 | − | 7.36711i | −0.0567479 | − | 0.321833i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.7572 | + | 4.64325i | −0.556241 | + | 0.202455i | ||||
\(527\) | 2.97570 | + | 8.17568i | 0.129624 | + | 0.356138i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.41288 | + | 19.3554i | 0.148386 | + | 0.841539i | ||||
\(530\) | −1.72802 | + | 2.99301i | −0.0750602 | + | 0.130008i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 9.40650 | − | 10.6449i | 0.407824 | − | 0.461515i | ||||
\(533\) | 14.6478 | + | 17.4565i | 0.634465 | + | 0.756126i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −24.6177 | − | 4.34076i | −1.06432 | − | 0.187668i | ||||
\(536\) | −10.5501 | + | 12.5731i | −0.455695 | + | 0.543077i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.02100 | + | 11.0476i | −0.173357 | + | 0.476296i | ||||
\(539\) | 0.927618 | + | 1.22794i | 0.0399553 | + | 0.0528913i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −17.3576 | −0.746264 | −0.373132 | − | 0.927778i | \(-0.621716\pi\) | ||||
−0.373132 | + | 0.927778i | \(0.621716\pi\) | |||||||
\(542\) | 10.6745 | + | 3.88519i | 0.458508 | + | 0.166883i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.50427 | − | 4.17623i | 0.150245 | − | 0.179054i | ||||
\(545\) | 1.21503 | − | 6.89079i | 0.0520462 | − | 0.295169i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.51648 | − | 4.62888i | 0.235868 | − | 0.197916i | −0.517191 | − | 0.855870i | \(-0.673022\pi\) |
0.753058 | + | 0.657954i | \(0.228578\pi\) | |||||||
\(548\) | −15.4059 | + | 8.89460i | −0.658107 | + | 0.379958i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.242763 | + | 0.420477i | −0.0103514 | + | 0.0179292i | ||||
\(551\) | −2.37578 | − | 13.4737i | −0.101212 | − | 0.574000i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −17.4383 | + | 13.8880i | −0.741552 | + | 0.590579i | ||||
\(554\) | 4.04537 | + | 11.1145i | 0.171871 | + | 0.472212i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 13.8312 | − | 2.43882i | 0.586575 | − | 0.103429i | ||||
\(557\) | 15.7336 | + | 9.08382i | 0.666655 | + | 0.384894i | 0.794808 | − | 0.606861i | \(-0.207571\pi\) |
−0.128153 | + | 0.991754i | \(0.540905\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.57338 | − | 1.48574i | 0.108842 | − | 0.0628402i | ||||
\(560\) | −2.57201 | + | 4.20275i | −0.108687 | + | 0.177599i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.70878 | − | 9.69097i | 0.0720805 | − | 0.408789i | ||||
\(563\) | −6.45074 | − | 5.41282i | −0.271866 | − | 0.228123i | 0.496653 | − | 0.867949i | \(-0.334562\pi\) |
−0.768520 | + | 0.639826i | \(0.779006\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.74471 | − | 10.2885i | 0.157541 | − | 0.432840i | ||||
\(566\) | −9.55604 | −0.401670 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −33.2027 | −1.39316 | ||||||||
\(569\) | 13.8694 | − | 38.1057i | 0.581434 | − | 1.59748i | −0.204298 | − | 0.978909i | \(-0.565491\pi\) |
0.785732 | − | 0.618567i | \(-0.212286\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.0780 | − | 12.6519i | −0.630994 | − | 0.529467i | 0.270244 | − | 0.962792i | \(-0.412896\pi\) |
−0.901238 | + | 0.433325i | \(0.857340\pi\) | |||||||
\(572\) | 0.115012 | − | 0.652268i | 0.00480891 | − | 0.0272727i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −17.9134 | − | 10.9627i | −0.747692 | − | 0.457573i | ||||
\(575\) | −5.09660 | + | 2.94252i | −0.212543 | + | 0.122712i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 33.4084 | + | 19.2884i | 1.39081 | + | 0.802985i | 0.993405 | − | 0.114658i | \(-0.0365774\pi\) |
0.397405 | + | 0.917643i | \(0.369911\pi\) | |||||||
\(578\) | 10.8954 | − | 1.92115i | 0.453189 | − | 0.0799095i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.71972 | + | 7.47238i | 0.112930 | + | 0.310274i | ||||
\(581\) | −35.6162 | + | 28.3651i | −1.47761 | + | 1.17678i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.143953 | − | 0.816400i | −0.00596194 | − | 0.0338118i | ||||
\(584\) | 10.7438 | − | 18.6088i | 0.444581 | − | 0.770037i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.17721 | − | 4.14376i | 0.296488 | − | 0.171177i | ||||
\(587\) | −26.1514 | + | 21.9436i | −1.07938 | + | 0.905710i | −0.995869 | − | 0.0907969i | \(-0.971059\pi\) |
−0.0835134 | + | 0.996507i | \(0.526614\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.64702 | + | 32.0258i | −0.232681 | + | 1.31960i | ||||
\(590\) | 5.83984 | − | 6.95965i | 0.240423 | − | 0.286524i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.10258 | − | 1.49322i | −0.168615 | − | 0.0613708i | ||||
\(593\) | −6.67349 | −0.274048 | −0.137024 | − | 0.990568i | \(-0.543754\pi\) | ||||
−0.137024 | + | 0.990568i | \(0.543754\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.14709 | − | 1.05509i | 0.129018 | − | 0.0432544i | ||||
\(596\) | −7.96011 | + | 21.8702i | −0.326059 | + | 0.895839i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.59052 | + | 1.89550i | −0.0650411 | + | 0.0775129i | ||||
\(599\) | −25.4041 | − | 4.47942i | −1.03798 | − | 0.183024i | −0.371413 | − | 0.928468i | \(-0.621127\pi\) |
−0.666569 | + | 0.745443i | \(0.732238\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.8387 | − | 15.3005i | −0.523699 | − | 0.624121i | 0.437752 | − | 0.899096i | \(-0.355775\pi\) |
−0.961451 | + | 0.274975i | \(0.911330\pi\) | |||||||
\(602\) | −1.81341 | + | 2.05215i | −0.0739090 | + | 0.0836393i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.61630 | − | 14.9239i | 0.350592 | − | 0.607243i | ||||
\(605\) | −2.53919 | − | 14.4005i | −0.103233 | − | 0.585462i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.2649 | − | 30.9501i | −0.457228 | − | 1.25622i | −0.927540 | − | 0.373724i | \(-0.878081\pi\) |
0.470312 | − | 0.882500i | \(-0.344141\pi\) | |||||||
\(608\) | 19.1482 | − | 6.96937i | 0.776562 | − | 0.282645i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.49755 | − | 8.49305i | −0.0606342 | − | 0.343874i | ||||
\(611\) | −11.5509 | − | 6.66889i | −0.467298 | − | 0.269795i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.5747 | + | 26.9761i | 0.629055 | + | 1.08956i | 0.987742 | + | 0.156097i | \(0.0498913\pi\) |
−0.358687 | + | 0.933458i | \(0.616775\pi\) | |||||||
\(614\) | −11.8513 | + | 9.94441i | −0.478279 | + | 0.401324i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.209089 | + | 1.39337i | 0.00842445 | + | 0.0561405i | ||||
\(617\) | 21.5216 | − | 25.6485i | 0.866428 | − | 1.03257i | −0.132714 | − | 0.991154i | \(-0.542369\pi\) |
0.999142 | − | 0.0414139i | \(-0.0131862\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.15081 | − | 3.16183i | 0.0462550 | − | 0.127085i | −0.914414 | − | 0.404780i | \(-0.867348\pi\) |
0.960669 | + | 0.277695i | \(0.0895705\pi\) | |||||||
\(620\) | − | 18.9011i | − | 0.759084i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 1.79850i | 0.0721132i | ||||||||
\(623\) | 18.3153 | + | 0.468682i | 0.733787 | + | 0.0187774i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.10083 | + | 0.923703i | 0.0440330 | + | 0.0369481i | ||||
\(626\) | 0.690772 | − | 3.91756i | 0.0276088 | − | 0.156577i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −12.3628 | − | 14.7334i | −0.493330 | − | 0.587928i | ||||
\(629\) | 1.47052 | + | 2.54701i | 0.0586334 | + | 0.101556i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.48269 | + | 16.4245i | −0.377500 | + | 0.653849i | −0.990698 | − | 0.136080i | \(-0.956549\pi\) |
0.613198 | + | 0.789929i | \(0.289883\pi\) | |||||||
\(632\) | −20.1001 | + | 3.54419i | −0.799540 | + | 0.140980i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.54535 | − | 3.47422i | 0.379094 | − | 0.137979i | ||||
\(635\) | 1.20425 | − | 0.438310i | 0.0477891 | − | 0.0173938i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.39568 | − | 10.0997i | 0.372271 | − | 0.400166i | ||||
\(638\) | 0.509138 | + | 0.293951i | 0.0201570 | + | 0.0116376i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −12.4710 | + | 7.20013i | −0.492959 | + | 0.284610i | ||||
\(641\) | −12.8204 | − | 15.2788i | −0.506376 | − | 0.603475i | 0.450927 | − | 0.892561i | \(-0.351093\pi\) |
−0.957303 | + | 0.289085i | \(0.906649\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 32.5518 | + | 5.73976i | 1.28372 | + | 0.226354i | 0.773558 | − | 0.633726i | \(-0.218475\pi\) |
0.510160 | + | 0.860080i | \(0.329586\pi\) | |||||||
\(644\) | −2.70758 | + | 6.88561i | −0.106693 | + | 0.271331i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.12860 | − | 0.774746i | −0.0837485 | − | 0.0304820i | ||||
\(647\) | 22.6934 | 0.892168 | 0.446084 | − | 0.894991i | \(-0.352818\pi\) | ||||
0.446084 | + | 0.894991i | \(0.352818\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.17925i | 0.0855431i | ||||||||
\(650\) | 4.08958 | + | 1.48848i | 0.160406 | + | 0.0583831i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −18.1472 | − | 15.2273i | −0.710698 | − | 0.596346i | ||||
\(653\) | −17.5842 | − | 3.10057i | −0.688122 | − | 0.121335i | −0.181355 | − | 0.983418i | \(-0.558048\pi\) |
−0.506767 | + | 0.862083i | \(0.669160\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.00488 | − | 4.19960i | 0.195557 | − | 0.164092i | ||||
\(656\) | 8.06469 | + | 13.9684i | 0.314873 | + | 0.545376i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 12.0470 | + | 2.44352i | 0.469642 | + | 0.0952583i | ||||
\(659\) | 15.8260 | − | 2.79056i | 0.616495 | − | 0.108705i | 0.143325 | − | 0.989676i | \(-0.454221\pi\) |
0.473170 | + | 0.880971i | \(0.343109\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.4940 | + | 39.8218i | 0.563750 | + | 1.54889i | 0.814094 | + | 0.580733i | \(0.197234\pi\) |
−0.250344 | + | 0.968157i | \(0.580544\pi\) | |||||||
\(662\) | −2.41469 | − | 6.63430i | −0.0938495 | − | 0.257849i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −41.0528 | + | 7.23872i | −1.59316 | + | 0.280917i | ||||
\(665\) | 12.1590 | + | 2.46622i | 0.471504 | + | 0.0956360i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.56298 | + | 6.17126i | 0.137959 | + | 0.238952i | ||||
\(668\) | 26.0337 | − | 21.8449i | 1.00727 | − | 0.845203i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −6.11588 | − | 1.07839i | −0.236277 | − | 0.0416620i | ||||
\(671\) | 1.58467 | + | 1.32970i | 0.0611757 | + | 0.0513325i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −10.5299 | − | 3.83256i | −0.405897 | − | 0.147734i | 0.131000 | − | 0.991382i | \(-0.458181\pi\) |
−0.536897 | + | 0.843648i | \(0.680403\pi\) | |||||||
\(674\) | − | 18.9479i | − | 0.729845i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 13.9375 | 0.536059 | ||||||||
\(677\) | 4.46954 | + | 1.62678i | 0.171778 | + | 0.0625222i | 0.426478 | − | 0.904498i | \(-0.359754\pi\) |
−0.254699 | + | 0.967020i | \(0.581976\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.35406 | + | 11.0728i | −0.167093 | + | 0.424934i | ||||
\(680\) | 2.99277 | + | 0.527705i | 0.114767 | + | 0.0202366i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.898226 | − | 1.07046i | −0.0343948 | − | 0.0409902i | ||||
\(683\) | −22.2708 | + | 12.8581i | −0.852170 | + | 0.492001i | −0.861382 | − | 0.507957i | \(-0.830401\pi\) |
0.00921244 | + | 0.999958i | \(0.497068\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.4549 | − | 7.76821i | −0.514086 | − | 0.296808i | ||||
\(686\) | −5.25134 | + | 11.5778i | −0.200497 | + | 0.442043i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.97639 | − | 0.719347i | 0.0753492 | − | 0.0274248i | ||||
\(689\) | −6.98261 | + | 2.54146i | −0.266016 | + | 0.0968220i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −6.87549 | + | 1.21234i | −0.261556 | + | 0.0461194i | −0.302888 | − | 0.953026i | \(-0.597951\pi\) |
0.0413322 | + | 0.999145i | \(0.486840\pi\) | |||||||
\(692\) | 3.58348 | − | 6.20677i | 0.136223 | − | 0.235946i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.65350 | + | 4.59600i | 0.100726 | + | 0.174462i | ||||
\(695\) | 7.88445 | + | 9.39632i | 0.299074 | + | 0.356423i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.88676 | − | 10.7004i | 0.0714663 | − | 0.405305i | ||||
\(698\) | 15.8664 | + | 13.3135i | 0.600552 | + | 0.503923i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 13.0090 | + | 0.332895i | 0.491692 | + | 0.0125822i | ||||
\(701\) | − | 4.24261i | − | 0.160241i | −0.996785 | − | 0.0801206i | \(-0.974469\pi\) | ||
0.996785 | − | 0.0801206i | \(-0.0255305\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.9929i | 0.414605i | ||||||||
\(704\) | −0.0897175 | + | 0.246497i | −0.00338135 | + | 0.00929020i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.24451 | − | 7.44192i | 0.235015 | − | 0.280080i | ||||
\(707\) | 0.384886 | + | 2.56488i | 0.0144751 | + | 0.0964622i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 20.5679 | − | 17.2586i | 0.772445 | − | 0.648159i | −0.168889 | − | 0.985635i | \(-0.554018\pi\) |
0.941334 | + | 0.337477i | \(0.109573\pi\) | |||||||
\(710\) | −6.28148 | − | 10.8798i | −0.235740 | − | 0.408313i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.5268 | + | 8.38702i | 0.544413 | + | 0.314317i | ||||
\(713\) | −2.94121 | − | 16.6804i | −0.110149 | − | 0.624687i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.543570 | − | 0.197843i | 0.0203283 | − | 0.00739891i | ||||
\(716\) | −8.31204 | − | 22.8371i | −0.310635 | − | 0.853464i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.05074 | − | 17.3016i | −0.113853 | − | 0.645691i | ||||
\(719\) | −18.0874 | + | 31.3282i | −0.674545 | + | 1.16835i | 0.302056 | + | 0.953290i | \(0.402327\pi\) |
−0.976602 | + | 0.215057i | \(0.931006\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 23.4218 | − | 26.5053i | 0.872272 | − | 0.987108i | ||||
\(722\) | 2.94115 | + | 3.50512i | 0.109458 | + | 0.130447i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −8.37755 | − | 1.47719i | −0.311349 | − | 0.0548992i | ||||
\(725\) | 8.05623 | − | 9.60105i | 0.299201 | − | 0.356574i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −6.90637 | + | 18.9751i | −0.256143 | + | 0.703748i | 0.743253 | + | 0.669010i | \(0.233282\pi\) |
−0.999396 | + | 0.0347375i | \(0.988940\pi\) | |||||||
\(728\) | 11.9744 | − | 4.01450i | 0.443799 | − | 0.148787i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 8.13027 | 0.300915 | ||||||||
\(731\) | −1.33138 | − | 0.484583i | −0.0492429 | − | 0.0179230i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.867738 | + | 1.03413i | −0.0320506 | + | 0.0381965i | −0.781832 | − | 0.623490i | \(-0.785714\pi\) |
0.749781 | + | 0.661686i | \(0.230159\pi\) | |||||||
\(734\) | 2.10441 | − | 11.9347i | 0.0776753 | − | 0.440518i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.13022 | + | 6.82207i | −0.299684 | + | 0.251465i | ||||
\(737\) | 1.29007 | − | 0.744820i | 0.0475202 | − | 0.0274358i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.05469 | − | 13.9511i | 0.296297 | − | 0.513201i | −0.678989 | − | 0.734148i | \(-0.737582\pi\) |
0.975286 | + | 0.220948i | \(0.0709150\pi\) | |||||||
\(740\) | −1.10948 | − | 6.29217i | −0.0407853 | − | 0.231305i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.35699 | − | 4.26636i | 0.196661 | − | 0.156623i | ||||
\(743\) | 10.0891 | + | 27.7195i | 0.370132 | + | 1.01693i | 0.975310 | + | 0.220840i | \(0.0708798\pi\) |
−0.605178 | + | 0.796090i | \(0.706898\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20.0177 | + | 3.52965i | −0.733390 | + | 0.129316i | ||||
\(746\) | 3.45963 | + | 1.99742i | 0.126666 | + | 0.0731307i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.273495 | + | 0.157902i | −0.00999995 | + | 0.00577348i | ||||
\(749\) | 42.2498 | + | 25.8561i | 1.54377 | + | 0.944761i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.81313 | + | 10.2828i | −0.0661622 | + | 0.375224i | 0.933691 | + | 0.358080i | \(0.116569\pi\) |
−0.999853 | + | 0.0171442i | \(0.994543\pi\) | |||||||
\(752\) | −7.23188 | − | 6.06827i | −0.263720 | − | 0.221287i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.80234 | − | 4.95189i | 0.0656374 | − | 0.180337i | ||||
\(755\) | 15.0503 | 0.547737 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 28.0501 | 1.01950 | 0.509749 | − | 0.860323i | \(-0.329738\pi\) | ||||
0.509749 | + | 0.860323i | \(0.329738\pi\) | |||||||
\(758\) | 6.58137 | − | 18.0822i | 0.239046 | − | 0.656774i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.70135 | + | 7.30130i | 0.315631 | + | 0.264846i | ||||
\(761\) | 4.79778 | − | 27.2096i | 0.173919 | − | 0.986346i | −0.765464 | − | 0.643478i | \(-0.777491\pi\) |
0.939384 | − | 0.342867i | \(-0.111398\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.23743 | + | 11.8262i | −0.262013 | + | 0.428138i | ||||
\(764\) | −2.42584 | + | 1.40056i | −0.0877638 | + | 0.0506704i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.694392 | + | 0.400908i | 0.0250894 | + | 0.0144854i | ||||
\(767\) | 19.2371 | − | 3.39202i | 0.694611 | − | 0.122479i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.9253 | + | 38.2594i | 0.502159 | + | 1.37967i | 0.889162 | + | 0.457592i | \(0.151288\pi\) |
−0.387004 | + | 0.922078i | \(0.626490\pi\) | |||||||
\(770\) | −0.417021 | + | 0.332120i | −0.0150284 | + | 0.0119688i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.0308230 | + | 0.174806i | 0.00110934 | + | 0.00629140i | ||||
\(773\) | −10.5422 | + | 18.2596i | −0.379176 | + | 0.656752i | −0.990943 | − | 0.134286i | \(-0.957126\pi\) |
0.611767 | + | 0.791038i | \(0.290459\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −25.7993 | + | 14.8952i | −0.926739 | + | 0.535053i | ||||
\(776\) | −8.34472 | + | 7.00205i | −0.299558 | + | 0.251359i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.71878 | − | 15.4190i | 0.0974732 | − | 0.552798i | ||||
\(779\) | 26.1051 | − | 31.1109i | 0.935314 | − | 1.11466i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.83173 | + | 1.03066i | 0.101327 | + | 0.0368801i | ||||
\(782\) | 1.17982 | 0.0421901 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 7.79063 | − | 5.88523i | 0.278237 | − | 0.210187i | ||||
\(785\) | 5.74508 | − | 15.7845i | 0.205051 | − | 0.563372i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.72249 | + | 11.5868i | −0.346569 | + | 0.413025i | −0.910968 | − | 0.412477i | \(-0.864664\pi\) |
0.564399 | + | 0.825502i | \(0.309108\pi\) | |||||||
\(788\) | 23.5532 | + | 4.15306i | 0.839048 | + | 0.147947i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −4.96401 | − | 5.91588i | −0.176612 | − | 0.210477i | ||||
\(791\) | −14.3662 | + | 16.2576i | −0.510804 | + | 0.578053i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.27121 | − | 16.0582i | 0.329230 | − | 0.570244i | ||||
\(794\) | 1.80123 | + | 10.2153i | 0.0639234 | + | 0.362527i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 5.03154 | + | 13.8240i | 0.178338 | + | 0.489980i | ||||
\(797\) | 21.7035 | − | 7.89942i | 0.768776 | − | 0.279812i | 0.0722918 | − | 0.997384i | \(-0.476969\pi\) |
0.696484 | + | 0.717572i | \(0.254746\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.10433 | + | 6.26295i | 0.0390683 | + | 0.221567i | ||||
\(800\) | 16.1659 | + | 9.33341i | 0.571552 | + | 0.329986i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −1.32971 | − | 2.30312i | −0.0469536 | − | 0.0813260i | ||||
\(803\) | −1.49394 | + | 1.25356i | −0.0527200 | + | 0.0442373i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −6.39031 | + | 0.958931i | −0.225229 | + | 0.0337979i | ||||
\(806\) | −8.05130 | + | 9.59516i | −0.283595 | + | 0.337975i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.812149 | + | 2.23136i | −0.0285713 | + | 0.0784990i | ||||
\(809\) | − | 28.4204i | − | 0.999209i | −0.866254 | − | 0.499604i | \(-0.833479\pi\) | ||
0.866254 | − | 0.499604i | \(-0.166521\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 19.4101i | − | 0.681580i | −0.940139 | − | 0.340790i | \(-0.889305\pi\) | ||
0.940139 | − | 0.340790i | \(-0.110695\pi\) | |||||||
\(812\) | 0.403088 | − | 15.7520i | 0.0141456 | − | 0.552787i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.361855 | − | 0.303633i | −0.0126830 | − | 0.0106423i | ||||
\(815\) | 3.59269 | − | 20.3752i | 0.125846 | − | 0.713711i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.40405 | − | 4.05678i | −0.119092 | − | 0.141929i | ||||
\(818\) | 8.10897 | + | 14.0451i | 0.283523 | + | 0.491077i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.8023 | + | 20.4421i | −0.412153 | + | 0.713870i | ||||
\(821\) | −20.0727 | + | 3.53937i | −0.700544 | + | 0.123525i | −0.512565 | − | 0.858648i | \(-0.671305\pi\) |
−0.187979 | + | 0.982173i | \(0.560194\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 16.5465 | − | 6.02243i | 0.576774 | − | 0.209929i | −0.0371281 | − | 0.999311i | \(-0.511821\pi\) |
0.613903 | + | 0.789382i | \(0.289599\pi\) | |||||||
\(824\) | 30.4309 | − | 11.0759i | 1.06011 | − | 0.385849i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −15.8160 | + | 8.59959i | −0.550309 | + | 0.299218i | ||||
\(827\) | 15.2517 | + | 8.80555i | 0.530352 | + | 0.306199i | 0.741160 | − | 0.671329i | \(-0.234276\pi\) |
−0.210808 | + | 0.977528i | \(0.567609\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 35.2758 | − | 20.3665i | 1.22518 | − | 0.707357i | 0.259161 | − | 0.965834i | \(-0.416554\pi\) |
0.966017 | + | 0.258477i | \(0.0832206\pi\) | |||||||
\(830\) | −10.1386 | − | 12.0827i | −0.351915 | − | 0.419396i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.31557 | + | 0.408297i | 0.0802778 | + | 0.0141551i | ||||
\(833\) | −6.56864 | − | 0.336399i | −0.227590 | − | 0.0116555i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 27.8909 | + | 10.1514i | 0.965203 | + | 0.351305i | ||||
\(836\) | −1.18040 | −0.0408250 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | − | 14.4685i | − | 0.499806i | ||||||
\(839\) | −48.4147 | − | 17.6215i | −1.67146 | − | 0.608362i | −0.679361 | − | 0.733804i | \(-0.737743\pi\) |
−0.992101 | + | 0.125442i | \(0.959965\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.5898 | + | 8.88589i | 0.365165 | + | 0.306410i | ||||
\(842\) | 10.4608 | + | 1.84451i | 0.360501 | + | 0.0635661i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 16.2713 | − | 13.6533i | 0.560082 | − | 0.469965i | ||||
\(845\) | 6.08626 | + | 10.5417i | 0.209374 | + | 0.362646i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.75984 | + | 28.3971i | −0.197911 | + | 0.975737i | ||||
\(848\) | −5.17961 | + | 0.913305i | −0.177869 | + | 0.0313630i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.709721 | − | 1.94994i | −0.0243432 | − | 0.0668825i | ||||
\(851\) | −1.95826 | − | 5.38028i | −0.0671283 | − | 0.184433i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −34.7100 | + | 6.12032i | −1.18845 | + | 0.209556i | −0.732700 | − | 0.680552i | \(-0.761740\pi\) |
−0.455750 | + | 0.890108i | \(0.650629\pi\) | |||||||
\(854\) | −3.39702 | + | 16.7480i | −0.116244 | + | 0.573104i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 22.6753 | + | 39.2747i | 0.775024 | + | 1.34238i | ||||
\(857\) | −11.0923 | + | 9.30753i | −0.378905 | + | 0.317939i | −0.812272 | − | 0.583278i | \(-0.801770\pi\) |
0.433367 | + | 0.901217i | \(0.357325\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 25.8833 | + | 4.56392i | 0.883125 | + | 0.155719i | 0.596777 | − | 0.802407i | \(-0.296448\pi\) |
0.286348 | + | 0.958126i | \(0.407559\pi\) | |||||||
\(860\) | 2.35786 | + | 1.97848i | 0.0804025 | + | 0.0674657i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.8236 | + | 5.39535i | 0.504894 | + | 0.183766i | ||||
\(863\) | − | 30.3370i | − | 1.03269i | −0.856382 | − | 0.516343i | \(-0.827293\pi\) | ||
0.856382 | − | 0.516343i | \(-0.172707\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.25936 | 0.212824 | ||||||||
\(866\) | −15.8786 | − | 5.77935i | −0.539578 | − | 0.196390i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −13.7059 | + | 34.8554i | −0.465210 | + | 1.18307i | ||||
\(869\) | 1.82428 | + | 0.321669i | 0.0618843 | + | 0.0109119i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −8.58280 | − | 10.2286i | −0.290817 | − | 0.346582i | ||||
\(872\) | −10.9935 | + | 6.34707i | −0.372285 | + | 0.214939i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.81906 | + | 2.20493i | 0.129182 | + | 0.0745830i | ||||
\(875\) | 13.8663 | + | 25.5022i | 0.468765 | + | 0.862133i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.84932 | − | 3.58486i | 0.332588 | − | 0.121052i | −0.170328 | − | 0.985387i | \(-0.554483\pi\) |
0.502916 | + | 0.864335i | \(0.332261\pi\) | |||||||
\(878\) | 12.4602 | − | 4.53515i | 0.420512 | − | 0.153054i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.403213 | − | 0.0710973i | 0.0135923 | − | 0.00239669i | ||||
\(881\) | −11.9814 | + | 20.7524i | −0.403664 | + | 0.699166i | −0.994165 | − | 0.107871i | \(-0.965597\pi\) |
0.590501 | + | 0.807037i | \(0.298930\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.74787 | − | 8.22356i | −0.159779 | − | 0.276745i | 0.775010 | − | 0.631949i | \(-0.217745\pi\) |
−0.934789 | + | 0.355204i | \(0.884411\pi\) | |||||||
\(884\) | 1.81956 | + | 2.16847i | 0.0611984 | + | 0.0729334i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.38701 | + | 13.5374i | −0.0801933 | + | 0.454799i | ||||
\(887\) | −7.75777 | − | 6.50955i | −0.260481 | − | 0.218569i | 0.503189 | − | 0.864176i | \(-0.332160\pi\) |
−0.763670 | + | 0.645607i | \(0.776604\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.53859 | − | 0.0649616i | −0.0851415 | − | 0.00217874i | ||||
\(890\) | 6.34681i | 0.212746i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 27.7427i | 0.928896i | ||||||||
\(893\) | −8.12999 | + | 22.3370i | −0.272060 | + | 0.747478i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 13.6433 | − | 16.2594i | 0.456044 | − | 0.543492i | ||||
\(896\) | 28.2188 | − | 4.23453i | 0.942725 | − | 0.141466i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.34976 | − | 5.32808i | 0.211894 | − | 0.177800i | ||||
\(899\) | 18.0360 | + | 31.2393i | 0.601535 | + | 1.04189i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.06836 | + | 1.77152i | 0.102222 | + | 0.0590178i | ||||
\(902\) | 0.303038 | + | 1.71862i | 0.0100901 | + | 0.0572237i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −18.6654 | + | 6.79366i | −0.620803 | + | 0.225954i | ||||
\(905\) | −2.54104 | − | 6.98145i | −0.0844671 | − | 0.232071i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.43669 | + | 8.14786i | 0.0477044 | + | 0.270545i | 0.999325 | − | 0.0367297i | \(-0.0116940\pi\) |
−0.951621 | + | 0.307275i | \(0.900583\pi\) | |||||||
\(908\) | −19.7687 | + | 34.2405i | −0.656048 | + | 1.13631i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.58084 | + | 3.16426i | 0.118704 | + | 0.104894i | ||||
\(911\) | −29.3546 | − | 34.9835i | −0.972562 | − | 1.15905i | −0.987252 | − | 0.159163i | \(-0.949121\pi\) |
0.0146900 | − | 0.999892i | \(-0.495324\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.72593 | + | 0.656981i | 0.123310 | + | 0.0217429i | ||||
\(914\) | 7.86230 | − | 9.36992i | 0.260062 | − | 0.309929i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.66902 | − | 15.5755i | 0.187310 | − | 0.514629i | ||||
\(917\) | −12.2748 | + | 4.11523i | −0.405350 | + | 0.135897i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 30.8173 | 1.01657 | 0.508285 | − | 0.861189i | \(-0.330280\pi\) | ||||
0.508285 | + | 0.861189i | \(0.330280\pi\) | |||||||
\(920\) | −5.55936 | − | 2.02344i | −0.183287 | − | 0.0667109i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −5.20909 | + | 6.20796i | −0.171552 | + | 0.204448i | ||||
\(923\) | 4.69047 | − | 26.6010i | 0.154389 | − | 0.875582i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.71426 | + | 6.47303i | −0.253643 | + | 0.212832i | ||||
\(926\) | −4.48220 | + | 2.58780i | −0.147294 | + | 0.0850403i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 11.3014 | − | 19.5746i | 0.370988 | − | 0.642569i | ||||
\(929\) | −2.61616 | − | 14.8370i | −0.0858334 | − | 0.486786i | −0.997174 | − | 0.0751316i | \(-0.976062\pi\) |
0.911340 | − | 0.411654i | \(-0.135049\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −20.6340 | − | 13.3649i | −0.676251 | − | 0.438017i | ||||
\(932\) | −1.42608 | − | 3.91812i | −0.0467127 | − | 0.128342i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 7.50069 | − | 1.32257i | 0.245430 | − | 0.0432759i | ||||
\(935\) | −0.238860 | − | 0.137906i | −0.00781156 | − | 0.00451000i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.52097 | − | 2.03283i | 0.115025 | − | 0.0664097i | −0.441384 | − | 0.897318i | \(-0.645512\pi\) |
0.556409 | + | 0.830909i | \(0.312179\pi\) | |||||||
\(938\) | 10.4963 | + | 6.42354i | 0.342716 | + | 0.209736i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.39908 | − | 13.6059i | 0.0782495 | − | 0.443775i | ||||
\(941\) | −7.66760 | − | 6.43388i | −0.249957 | − | 0.209738i | 0.509197 | − | 0.860650i | \(-0.329942\pi\) |
−0.759154 | + | 0.650912i | \(0.774387\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.23464 | + | 19.8770i | −0.235592 | + | 0.647285i | ||||
\(944\) | 13.8262 | 0.450003 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.227560 | 0.00739863 | ||||||||
\(947\) | 17.9748 | − | 49.3853i | 0.584102 | − | 1.60481i | −0.197001 | − | 0.980403i | \(-0.563120\pi\) |
0.781102 | − | 0.624403i | \(-0.214658\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 13.3910 | + | 11.2364i | 0.434691 | + | 0.364749i | ||||
\(950\) | 1.34684 | − | 7.63833i | 0.0436974 | − | 0.247820i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −5.13630 | − | 3.14332i | −0.166468 | − | 0.101876i | ||||
\(953\) | −40.6849 | + | 23.4895i | −1.31791 | + | 0.760898i | −0.983393 | − | 0.181490i | \(-0.941908\pi\) |
−0.334521 | + | 0.942388i | \(0.608575\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.11864 | − | 1.22320i | −0.0685575 | − | 0.0395817i | ||||
\(956\) | 45.5714 | − | 8.03546i | 1.47388 | − | 0.259885i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.105623 | + | 0.290197i | 0.00341253 | + | 0.00937585i | ||||
\(959\) | 19.1792 | + | 24.0821i | 0.619328 | + | 0.777651i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.50550 | − | 53.9084i | −0.306629 | − | 1.73898i | ||||
\(962\) | −2.11705 | + | 3.66684i | −0.0682565 | + | 0.118224i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 32.4832 | − | 18.7542i | 1.04621 | − | 0.604031i | ||||
\(965\) | −0.118755 | + | 0.0996476i | −0.00382287 | + | 0.00320777i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.24818 | − | 7.07876i | 0.0401386 | − | 0.227638i | −0.958139 | − | 0.286303i | \(-0.907574\pi\) |
0.998278 | + | 0.0586658i | \(0.0186846\pi\) | |||||||
\(968\) | −17.0521 | + | 20.3219i | −0.548076 | + | 0.653172i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.87312 | − | 1.40970i | −0.124359 | − | 0.0452628i | ||||
\(971\) | 13.7938 | 0.442663 | 0.221331 | − | 0.975199i | \(-0.428960\pi\) | ||||
0.221331 | + | 0.975199i | \(0.428960\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.72605 | − | 23.0451i | −0.247686 | − | 0.738791i | ||||
\(974\) | −5.72100 | + | 15.7183i | −0.183313 | + | 0.503648i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.43622 | − | 10.0539i | 0.270037 | − | 0.321817i | ||||
\(977\) | 12.3023 | + | 2.16922i | 0.393584 | + | 0.0693996i | 0.366938 | − | 0.930245i | \(-0.380406\pi\) |
0.0266464 | + | 0.999645i | \(0.491517\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.978581 | − | 1.16623i | −0.0312756 | − | 0.0372728i | ||||
\(980\) | 13.1594 | + | 5.56736i | 0.420363 | + | 0.177843i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.41271 | + | 7.64304i | −0.140815 | + | 0.243899i | ||||
\(983\) | −5.29506 | − | 30.0298i | −0.168886 | − | 0.957801i | −0.944967 | − | 0.327167i | \(-0.893906\pi\) |
0.776081 | − | 0.630634i | \(-0.217205\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.14405 | + | 19.6281i | 0.227628 | + | 0.625404i | ||||
\(986\) | −2.36110 | + | 0.859371i | −0.0751928 | + | 0.0273679i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.83730 | + | 10.4198i | 0.0584523 | + | 0.331500i | ||||
\(989\) | 2.38872 | + | 1.37913i | 0.0759569 | + | 0.0438537i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −26.4504 | − | 45.8134i | −0.840224 | − | 1.45531i | −0.889705 | − | 0.456536i | \(-0.849090\pi\) |
0.0494806 | − | 0.998775i | \(-0.484243\pi\) | |||||||
\(992\) | −41.1557 | + | 34.5337i | −1.30670 | + | 1.09645i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.69425 | + | 24.6185i | 0.117175 | + | 0.780850i | ||||
\(995\) | −8.25869 | + | 9.84233i | −0.261818 | + | 0.312023i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.3634 | − | 33.9682i | 0.391553 | − | 1.07578i | −0.574740 | − | 0.818336i | \(-0.694897\pi\) |
0.966293 | − | 0.257446i | \(-0.0828811\pi\) | |||||||
\(998\) | − | 20.2352i | − | 0.640534i | ||||||
\(999\) | 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 | 567.2.be.a.503.13 | 132 | ||
3.2 | odd | 2 | 189.2.be.a.104.10 | yes | 132 | ||
7.6 | odd | 2 | inner | 567.2.be.a.503.14 | 132 | ||
21.20 | even | 2 | 189.2.be.a.104.9 | yes | 132 | ||
27.7 | even | 9 | 189.2.be.a.20.9 | ✓ | 132 | ||
27.20 | odd | 18 | inner | 567.2.be.a.62.14 | 132 | ||
189.20 | even | 18 | inner | 567.2.be.a.62.13 | 132 | ||
189.34 | odd | 18 | 189.2.be.a.20.10 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.9 | ✓ | 132 | 27.7 | even | 9 | ||
189.2.be.a.20.10 | yes | 132 | 189.34 | odd | 18 | ||
189.2.be.a.104.9 | yes | 132 | 21.20 | even | 2 | ||
189.2.be.a.104.10 | yes | 132 | 3.2 | odd | 2 | ||
567.2.be.a.62.13 | 132 | 189.20 | even | 18 | inner | ||
567.2.be.a.62.14 | 132 | 27.20 | odd | 18 | inner | ||
567.2.be.a.503.13 | 132 | 1.1 | even | 1 | trivial | ||
567.2.be.a.503.14 | 132 | 7.6 | odd | 2 | inner |