Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 61.28 | ||
Character | \(\chi\) | \(=\) | 483.61 |
Dual form | 483.2.bf.a.388.28 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{17}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.66500 | + | 1.30937i | 1.17733 | + | 0.925864i | 0.998318 | − | 0.0579829i | \(-0.0184669\pi\) |
0.179014 | + | 0.983847i | \(0.442709\pi\) | |||||||
\(3\) | −0.814576 | − | 0.580057i | −0.470296 | − | 0.334896i | ||||
\(4\) | 0.586254 | + | 2.41657i | 0.293127 | + | 1.20829i | ||||
\(5\) | 2.07093 | − | 0.399138i | 0.926146 | − | 0.178500i | 0.296188 | − | 0.955130i | \(-0.404284\pi\) |
0.629958 | + | 0.776630i | \(0.283072\pi\) | |||||||
\(6\) | −0.596759 | − | 2.03237i | −0.243626 | − | 0.829713i | ||||
\(7\) | −0.0453823 | − | 2.64536i | −0.0171529 | − | 0.999853i | ||||
\(8\) | −0.428227 | + | 0.937687i | −0.151401 | + | 0.331522i | ||||
\(9\) | 0.327068 | + | 0.945001i | 0.109023 | + | 0.315000i | ||||
\(10\) | 3.97071 | + | 2.04704i | 1.25565 | + | 0.647331i | ||||
\(11\) | 2.42156 | + | 3.07926i | 0.730128 | + | 0.928433i | 0.999400 | − | 0.0346313i | \(-0.0110257\pi\) |
−0.269273 | + | 0.963064i | \(0.586783\pi\) | |||||||
\(12\) | 0.924200 | − | 2.30854i | 0.266794 | − | 0.666418i | ||||
\(13\) | −0.763770 | − | 1.18845i | −0.211832 | − | 0.329617i | 0.719036 | − | 0.694973i | \(-0.244584\pi\) |
−0.930868 | + | 0.365356i | \(0.880947\pi\) | |||||||
\(14\) | 3.38819 | − | 4.46394i | 0.905533 | − | 1.19304i | ||||
\(15\) | −1.91845 | − | 0.876126i | −0.495341 | − | 0.226215i | ||||
\(16\) | 2.47970 | − | 1.27837i | 0.619924 | − | 0.319593i | ||||
\(17\) | −0.200736 | − | 0.191401i | −0.0486856 | − | 0.0464216i | 0.665346 | − | 0.746535i | \(-0.268284\pi\) |
−0.714031 | + | 0.700114i | \(0.753133\pi\) | |||||||
\(18\) | −0.692787 | + | 2.00168i | −0.163292 | + | 0.471800i | ||||
\(19\) | 0.417351 | − | 0.397943i | 0.0957468 | − | 0.0912944i | −0.640694 | − | 0.767796i | \(-0.721353\pi\) |
0.736441 | + | 0.676502i | \(0.236505\pi\) | |||||||
\(20\) | 2.17863 | + | 4.77054i | 0.487157 | + | 1.06673i | ||||
\(21\) | −1.49749 | + | 2.18117i | −0.326780 | + | 0.475971i | ||||
\(22\) | 8.29768i | 1.76907i | ||||||||
\(23\) | 2.38671 | + | 4.15976i | 0.497663 | + | 0.867370i | ||||
\(24\) | 0.892736 | − | 0.515421i | 0.182229 | − | 0.105210i | ||||
\(25\) | −0.512420 | + | 0.205142i | −0.102484 | + | 0.0410284i | ||||
\(26\) | 0.284443 | − | 2.97882i | 0.0557839 | − | 0.584195i | ||||
\(27\) | 0.281733 | − | 0.959493i | 0.0542195 | − | 0.184655i | ||||
\(28\) | 6.36610 | − | 1.66052i | 1.20308 | − | 0.313809i | ||||
\(29\) | −5.20891 | + | 1.52947i | −0.967270 | + | 0.284016i | −0.726960 | − | 0.686680i | \(-0.759067\pi\) |
−0.240310 | + | 0.970696i | \(0.577249\pi\) | |||||||
\(30\) | −2.04704 | − | 3.97071i | −0.373737 | − | 0.724948i | ||||
\(31\) | −0.233410 | − | 2.44438i | −0.0419217 | − | 0.439024i | −0.991929 | − | 0.126796i | \(-0.959531\pi\) |
0.950007 | − | 0.312228i | \(-0.101075\pi\) | |||||||
\(32\) | 7.82698 | + | 1.50853i | 1.38363 | + | 0.266672i | ||||
\(33\) | −0.186396 | − | 3.91294i | −0.0324474 | − | 0.681155i | ||||
\(34\) | −0.0836100 | − | 0.581520i | −0.0143390 | − | 0.0997299i | ||||
\(35\) | −1.14985 | − | 5.46023i | −0.194360 | − | 0.922948i | ||||
\(36\) | −2.09192 | + | 1.34439i | −0.348653 | + | 0.224065i | ||||
\(37\) | −3.04978 | + | 1.05554i | −0.501380 | + | 0.173529i | −0.566040 | − | 0.824378i | \(-0.691525\pi\) |
0.0646594 | + | 0.997907i | \(0.479404\pi\) | |||||||
\(38\) | 1.21594 | − | 0.116108i | 0.197252 | − | 0.0188353i | ||||
\(39\) | −0.0672196 | + | 1.41111i | −0.0107637 | + | 0.225959i | ||||
\(40\) | −0.512560 | + | 2.11280i | −0.0810429 | + | 0.334063i | ||||
\(41\) | −4.70721 | + | 4.07882i | −0.735142 | + | 0.637004i | −0.939759 | − | 0.341838i | \(-0.888951\pi\) |
0.204617 | + | 0.978842i | \(0.434405\pi\) | |||||||
\(42\) | −5.34928 | + | 1.67088i | −0.825412 | + | 0.257822i | ||||
\(43\) | −3.42515 | + | 1.56421i | −0.522330 | + | 0.238540i | −0.659090 | − | 0.752064i | \(-0.729058\pi\) |
0.136760 | + | 0.990604i | \(0.456331\pi\) | |||||||
\(44\) | −6.02161 | + | 7.65710i | −0.907791 | + | 1.15435i | ||||
\(45\) | 1.05452 | + | 1.82648i | 0.157198 | + | 0.272276i | ||||
\(46\) | −1.47280 | + | 10.0511i | −0.217152 | + | 1.48195i | ||||
\(47\) | 1.68269 | + | 0.971502i | 0.245446 | + | 0.141708i | 0.617677 | − | 0.786432i | \(-0.288074\pi\) |
−0.372231 | + | 0.928140i | \(0.621407\pi\) | |||||||
\(48\) | −2.76143 | − | 0.397034i | −0.398578 | − | 0.0573069i | ||||
\(49\) | −6.99588 | + | 0.240105i | −0.999412 | + | 0.0343007i | ||||
\(50\) | −1.12179 | − | 0.329386i | −0.158644 | − | 0.0465822i | ||||
\(51\) | 0.0524910 | + | 0.272349i | 0.00735021 | + | 0.0381365i | ||||
\(52\) | 2.42421 | − | 2.54244i | 0.336177 | − | 0.352573i | ||||
\(53\) | −3.34927 | − | 0.159545i | −0.460057 | − | 0.0219152i | −0.183726 | − | 0.982978i | \(-0.558816\pi\) |
−0.276332 | + | 0.961062i | \(0.589119\pi\) | |||||||
\(54\) | 1.72541 | − | 1.22866i | 0.234799 | − | 0.167200i | ||||
\(55\) | 6.24392 | + | 5.41039i | 0.841930 | + | 0.729536i | ||||
\(56\) | 2.49996 | + | 1.09026i | 0.334071 | + | 0.145692i | ||||
\(57\) | −0.570793 | + | 0.0820677i | −0.0756034 | + | 0.0108701i | ||||
\(58\) | −10.6755 | − | 4.27381i | −1.40176 | − | 0.561179i | ||||
\(59\) | 3.02164 | − | 5.86116i | 0.393384 | − | 0.763058i | −0.606093 | − | 0.795394i | \(-0.707264\pi\) |
0.999477 | + | 0.0323355i | \(0.0102945\pi\) | |||||||
\(60\) | 0.992523 | − | 5.14970i | 0.128134 | − | 0.664823i | ||||
\(61\) | −4.91704 | − | 6.90501i | −0.629562 | − | 0.884096i | 0.369417 | − | 0.929264i | \(-0.379557\pi\) |
−0.998979 | + | 0.0451674i | \(0.985618\pi\) | |||||||
\(62\) | 2.81197 | − | 4.37552i | 0.357121 | − | 0.555691i | ||||
\(63\) | 2.48503 | − | 0.908099i | 0.313084 | − | 0.114410i | ||||
\(64\) | 7.40279 | + | 8.54327i | 0.925349 | + | 1.06791i | ||||
\(65\) | −2.05607 | − | 2.15634i | −0.255024 | − | 0.267461i | ||||
\(66\) | 4.81313 | − | 6.75909i | 0.592455 | − | 0.831987i | ||||
\(67\) | 3.71654 | + | 9.28346i | 0.454047 | + | 1.13416i | 0.962068 | + | 0.272810i | \(0.0879532\pi\) |
−0.508020 | + | 0.861345i | \(0.669623\pi\) | |||||||
\(68\) | 0.344852 | − | 0.597302i | 0.0418195 | − | 0.0724335i | ||||
\(69\) | 0.468744 | − | 4.77287i | 0.0564302 | − | 0.574586i | ||||
\(70\) | 5.23496 | − | 10.5969i | 0.625698 | − | 1.26657i | ||||
\(71\) | 1.43885 | − | 10.0074i | 0.170760 | − | 1.18766i | −0.706524 | − | 0.707689i | \(-0.749738\pi\) |
0.877284 | − | 0.479971i | \(-0.159353\pi\) | |||||||
\(72\) | −1.02617 | − | 0.0979878i | −0.120936 | − | 0.0115480i | ||||
\(73\) | 2.40651 | − | 0.583814i | 0.281661 | − | 0.0683302i | −0.0924397 | − | 0.995718i | \(-0.529467\pi\) |
0.374101 | + | 0.927388i | \(0.377951\pi\) | |||||||
\(74\) | −6.45996 | − | 2.23581i | −0.750955 | − | 0.259908i | ||||
\(75\) | 0.536399 | + | 0.130129i | 0.0619381 | + | 0.0150260i | ||||
\(76\) | 1.20633 | + | 0.775262i | 0.138376 | + | 0.0889286i | ||||
\(77\) | 8.03587 | − | 6.54564i | 0.915772 | − | 0.745945i | ||||
\(78\) | −1.95959 | + | 2.26148i | −0.221880 | + | 0.256063i | ||||
\(79\) | −9.79682 | + | 0.466680i | −1.10223 | + | 0.0525056i | −0.590798 | − | 0.806819i | \(-0.701187\pi\) |
−0.511430 | + | 0.859325i | \(0.670884\pi\) | |||||||
\(80\) | 4.62502 | − | 3.63715i | 0.517093 | − | 0.406646i | ||||
\(81\) | −0.786053 | + | 0.618159i | −0.0873392 | + | 0.0686843i | ||||
\(82\) | −13.1782 | + | 0.627753i | −1.45528 | + | 0.0693238i | ||||
\(83\) | 8.30677 | − | 9.58652i | 0.911787 | − | 1.05226i | −0.0866432 | − | 0.996239i | \(-0.527614\pi\) |
0.998430 | − | 0.0560184i | \(-0.0178405\pi\) | |||||||
\(84\) | −6.14887 | − | 2.34008i | −0.670896 | − | 0.255323i | ||||
\(85\) | −0.492104 | − | 0.316256i | −0.0533762 | − | 0.0343028i | ||||
\(86\) | −7.75099 | − | 1.88037i | −0.835811 | − | 0.202766i | ||||
\(87\) | 5.13023 | + | 1.77559i | 0.550019 | + | 0.190363i | ||||
\(88\) | −3.92436 | + | 0.952040i | −0.418338 | + | 0.101488i | ||||
\(89\) | −12.8616 | − | 1.22813i | −1.36333 | − | 0.130182i | −0.612390 | − | 0.790556i | \(-0.709792\pi\) |
−0.750937 | + | 0.660374i | \(0.770398\pi\) | |||||||
\(90\) | −0.635765 | + | 4.42184i | −0.0670155 | + | 0.466103i | ||||
\(91\) | −3.10922 | + | 2.07438i | −0.325935 | + | 0.217454i | ||||
\(92\) | −8.65314 | + | 8.20632i | −0.902152 | + | 0.855568i | ||||
\(93\) | −1.22775 | + | 2.12653i | −0.127312 | + | 0.220511i | ||||
\(94\) | 1.52962 | + | 3.82081i | 0.157768 | + | 0.394087i | ||||
\(95\) | 0.705468 | − | 0.990691i | 0.0723795 | − | 0.101643i | ||||
\(96\) | −5.50064 | − | 5.76890i | −0.561406 | − | 0.588786i | ||||
\(97\) | 11.3221 | + | 13.0664i | 1.14959 | + | 1.32669i | 0.936910 | + | 0.349570i | \(0.113672\pi\) |
0.212676 | + | 0.977123i | \(0.431782\pi\) | |||||||
\(98\) | −11.9625 | − | 8.76041i | −1.20840 | − | 0.884936i | ||||
\(99\) | −2.11789 | + | 3.29550i | −0.212856 | + | 0.331211i | ||||
\(100\) | −0.796148 | − | 1.11803i | −0.0796148 | − | 0.111803i | ||||
\(101\) | −0.967141 | + | 5.01800i | −0.0962341 | + | 0.499310i | 0.901544 | + | 0.432687i | \(0.142435\pi\) |
−0.997778 | + | 0.0666228i | \(0.978778\pi\) | |||||||
\(102\) | −0.269208 | + | 0.522191i | −0.0266556 | + | 0.0517046i | ||||
\(103\) | −13.1540 | − | 5.26606i | −1.29610 | − | 0.518880i | −0.381923 | − | 0.924194i | \(-0.624738\pi\) |
−0.914178 | + | 0.405314i | \(0.867162\pi\) | |||||||
\(104\) | 1.44146 | − | 0.207251i | 0.141347 | − | 0.0203226i | ||||
\(105\) | −2.23061 | + | 5.11475i | −0.217685 | + | 0.499149i | ||||
\(106\) | −5.36762 | − | 4.65107i | −0.521350 | − | 0.451752i | ||||
\(107\) | 13.8613 | − | 9.87061i | 1.34002 | − | 0.954227i | 0.340121 | − | 0.940382i | \(-0.389532\pi\) |
0.999904 | − | 0.0138456i | \(-0.00440734\pi\) | |||||||
\(108\) | 2.48385 | + | 0.118320i | 0.239008 | + | 0.0113854i | ||||
\(109\) | −11.1030 | + | 11.6445i | −1.06347 | + | 1.11534i | −0.0704382 | + | 0.997516i | \(0.522440\pi\) |
−0.993035 | + | 0.117822i | \(0.962409\pi\) | |||||||
\(110\) | 3.31192 | + | 17.1839i | 0.315779 | + | 1.63842i | ||||
\(111\) | 3.09655 | + | 0.909228i | 0.293911 | + | 0.0863001i | ||||
\(112\) | −3.49429 | − | 6.50168i | −0.330180 | − | 0.614351i | ||||
\(113\) | −10.9479 | − | 1.57408i | −1.02990 | − | 0.148077i | −0.393409 | − | 0.919364i | \(-0.628704\pi\) |
−0.636487 | + | 0.771287i | \(0.719613\pi\) | |||||||
\(114\) | −1.05783 | − | 0.610737i | −0.0990746 | − | 0.0572007i | ||||
\(115\) | 6.60301 | + | 7.66193i | 0.615734 | + | 0.714479i | ||||
\(116\) | −6.74982 | − | 11.6910i | −0.626705 | − | 1.08548i | ||||
\(117\) | 0.873281 | − | 1.11047i | 0.0807349 | − | 0.102663i | ||||
\(118\) | 12.7054 | − | 5.80238i | 1.16963 | − | 0.534152i | ||||
\(119\) | −0.497216 | + | 0.539705i | −0.0455797 | + | 0.0494747i | ||||
\(120\) | 1.64306 | − | 1.42372i | 0.149991 | − | 0.129968i | ||||
\(121\) | −1.02456 | + | 4.22331i | −0.0931421 | + | 0.383937i | ||||
\(122\) | 0.854352 | − | 17.9350i | 0.0773494 | − | 1.62376i | ||||
\(123\) | 6.20032 | − | 0.592059i | 0.559064 | − | 0.0533842i | ||||
\(124\) | 5.77019 | − | 1.99708i | 0.518178 | − | 0.179343i | ||||
\(125\) | −9.85048 | + | 6.33052i | −0.881054 | + | 0.566219i | ||||
\(126\) | 5.32660 | + | 1.74183i | 0.474531 | + | 0.155175i | ||||
\(127\) | 1.20892 | + | 8.40823i | 0.107274 | + | 0.746109i | 0.970467 | + | 0.241234i | \(0.0775523\pi\) |
−0.863193 | + | 0.504875i | \(0.831539\pi\) | |||||||
\(128\) | 0.380779 | + | 7.99353i | 0.0336564 | + | 0.706535i | ||||
\(129\) | 3.69737 | + | 0.712610i | 0.325536 | + | 0.0627418i | ||||
\(130\) | −0.599901 | − | 6.28245i | −0.0526148 | − | 0.551007i | ||||
\(131\) | 5.65846 | + | 10.9759i | 0.494382 | + | 0.958967i | 0.995605 | + | 0.0936489i | \(0.0298531\pi\) |
−0.501224 | + | 0.865318i | \(0.667117\pi\) | |||||||
\(132\) | 9.34661 | − | 2.74441i | 0.813518 | − | 0.238870i | ||||
\(133\) | −1.07164 | − | 1.08598i | −0.0929233 | − | 0.0941668i | ||||
\(134\) | −5.96745 | + | 20.3233i | −0.515509 | + | 1.75566i | ||||
\(135\) | 0.200477 | − | 2.09949i | 0.0172543 | − | 0.180695i | ||||
\(136\) | 0.265435 | − | 0.106264i | 0.0227609 | − | 0.00911208i | ||||
\(137\) | 0.850903 | − | 0.491269i | 0.0726976 | − | 0.0419720i | −0.463211 | − | 0.886248i | \(-0.653303\pi\) |
0.535908 | + | 0.844276i | \(0.319969\pi\) | |||||||
\(138\) | 7.02990 | − | 7.33306i | 0.598425 | − | 0.624231i | ||||
\(139\) | 0.454081i | 0.0385147i | 0.999815 | + | 0.0192573i | \(0.00613018\pi\) | ||||
−0.999815 | + | 0.0192573i | \(0.993870\pi\) | |||||||
\(140\) | 12.5209 | − | 5.97977i | 1.05821 | − | 0.505383i | ||||
\(141\) | −0.807153 | − | 1.76742i | −0.0679745 | − | 0.148843i | ||||
\(142\) | 15.4991 | − | 14.7783i | 1.30065 | − | 1.24017i | ||||
\(143\) | 1.81003 | − | 5.22975i | 0.151363 | − | 0.437334i | ||||
\(144\) | 2.01909 | + | 1.92520i | 0.168258 | + | 0.160433i | ||||
\(145\) | −10.1768 | + | 5.24650i | −0.845136 | + | 0.435698i | ||||
\(146\) | 4.77127 | + | 2.17897i | 0.394873 | + | 0.180332i | ||||
\(147\) | 5.83795 | + | 3.86243i | 0.481506 | + | 0.318567i | ||||
\(148\) | −4.33873 | − | 6.75119i | −0.356641 | − | 0.554944i | ||||
\(149\) | 0.886191 | − | 2.21360i | 0.0725996 | − | 0.181345i | −0.887630 | − | 0.460558i | \(-0.847649\pi\) |
0.960229 | + | 0.279213i | \(0.0900736\pi\) | |||||||
\(150\) | 0.722717 | + | 0.919009i | 0.0590096 | + | 0.0750368i | ||||
\(151\) | 8.70909 | + | 4.48985i | 0.708736 | + | 0.365379i | 0.774601 | − | 0.632450i | \(-0.217951\pi\) |
−0.0658656 | + | 0.997829i | \(0.520981\pi\) | |||||||
\(152\) | 0.194425 | + | 0.561754i | 0.0157700 | + | 0.0455643i | ||||
\(153\) | 0.115220 | − | 0.252297i | 0.00931499 | − | 0.0203970i | ||||
\(154\) | 21.9504 | − | 0.376567i | 1.76881 | − | 0.0303447i | ||||
\(155\) | −1.45902 | − | 4.96897i | −0.117191 | − | 0.399118i | ||||
\(156\) | −3.44946 | + | 0.664829i | −0.276178 | + | 0.0532289i | ||||
\(157\) | 3.33805 | + | 13.7596i | 0.266405 | + | 1.09814i | 0.935039 | + | 0.354545i | \(0.115364\pi\) |
−0.668634 | + | 0.743592i | \(0.733121\pi\) | |||||||
\(158\) | −16.9227 | − | 12.0506i | −1.34630 | − | 0.958696i | ||||
\(159\) | 2.63569 | + | 2.07273i | 0.209024 | + | 0.164378i | ||||
\(160\) | 16.8112 | 1.32904 | ||||||||
\(161\) | 10.8958 | − | 6.50249i | 0.858707 | − | 0.512468i | ||||
\(162\) | −2.11817 | −0.166420 | ||||||||
\(163\) | 4.74847 | + | 3.73423i | 0.371929 | + | 0.292488i | 0.786575 | − | 0.617495i | \(-0.211852\pi\) |
−0.414646 | + | 0.909983i | \(0.636095\pi\) | |||||||
\(164\) | −12.6164 | − | 8.98407i | −0.985173 | − | 0.701538i | ||||
\(165\) | −1.94781 | − | 8.02900i | −0.151637 | − | 0.625057i | ||||
\(166\) | 26.3831 | − | 5.08492i | 2.04772 | − | 0.394666i | ||||
\(167\) | −2.07723 | − | 7.07440i | −0.160741 | − | 0.547434i | −0.999993 | − | 0.00369129i | \(-0.998825\pi\) |
0.839252 | − | 0.543742i | \(-0.182993\pi\) | |||||||
\(168\) | −1.40399 | − | 2.33822i | −0.108320 | − | 0.180397i | ||||
\(169\) | 4.57133 | − | 10.0098i | 0.351641 | − | 0.769985i | ||||
\(170\) | −0.405257 | − | 1.17091i | −0.0310818 | − | 0.0898049i | ||||
\(171\) | 0.512559 | + | 0.264242i | 0.0391963 | + | 0.0202071i | ||||
\(172\) | −5.78803 | − | 7.36008i | −0.441333 | − | 0.561201i | ||||
\(173\) | −3.48149 | + | 8.69635i | −0.264693 | + | 0.661171i | −0.999860 | − | 0.0167145i | \(-0.994679\pi\) |
0.735167 | + | 0.677886i | \(0.237104\pi\) | |||||||
\(174\) | 6.21692 | + | 9.67372i | 0.471304 | + | 0.733363i | ||||
\(175\) | 0.565930 | + | 1.34623i | 0.0427803 | + | 0.101765i | ||||
\(176\) | 9.94118 | + | 4.53998i | 0.749344 | + | 0.342214i | ||||
\(177\) | −5.86116 | + | 3.02164i | −0.440552 | + | 0.227120i | ||||
\(178\) | −19.8065 | − | 18.8854i | −1.48456 | − | 1.41552i | ||||
\(179\) | −7.60775 | + | 21.9811i | −0.568630 | + | 1.64295i | 0.182812 | + | 0.983148i | \(0.441480\pi\) |
−0.751441 | + | 0.659800i | \(0.770641\pi\) | |||||||
\(180\) | −3.79560 | + | 3.61910i | −0.282908 | + | 0.269752i | ||||
\(181\) | −5.23877 | − | 11.4713i | −0.389395 | − | 0.852656i | −0.998236 | − | 0.0593638i | \(-0.981093\pi\) |
0.608842 | − | 0.793292i | \(-0.291634\pi\) | |||||||
\(182\) | −7.89297 | − | 0.617269i | −0.585066 | − | 0.0457550i | ||||
\(183\) | 8.47682i | 0.626624i | ||||||||
\(184\) | −4.92261 | + | 0.456661i | −0.362900 | + | 0.0336655i | ||||
\(185\) | −5.89456 | + | 3.40322i | −0.433376 | + | 0.250210i | ||||
\(186\) | −4.82861 | + | 1.93309i | −0.354051 | + | 0.141741i | ||||
\(187\) | 0.103281 | − | 1.08161i | 0.00755266 | − | 0.0790950i | ||||
\(188\) | −1.36122 | + | 4.63589i | −0.0992771 | + | 0.338107i | ||||
\(189\) | −2.55099 | − | 0.701741i | −0.185557 | − | 0.0510441i | ||||
\(190\) | 2.47178 | − | 0.725781i | 0.179322 | − | 0.0526537i | ||||
\(191\) | −7.67818 | − | 14.8936i | −0.555573 | − | 1.07766i | −0.984674 | − | 0.174405i | \(-0.944200\pi\) |
0.429101 | − | 0.903257i | \(-0.358831\pi\) | |||||||
\(192\) | −1.07455 | − | 11.2532i | −0.0775489 | − | 0.812129i | ||||
\(193\) | 17.2450 | + | 3.32371i | 1.24132 | + | 0.239246i | 0.767313 | − | 0.641273i | \(-0.221594\pi\) |
0.474011 | + | 0.880519i | \(0.342806\pi\) | |||||||
\(194\) | 1.74254 | + | 36.5804i | 0.125107 | + | 2.62632i | ||||
\(195\) | 0.424022 | + | 2.94914i | 0.0303649 | + | 0.211192i | ||||
\(196\) | −4.68159 | − | 16.7653i | −0.334399 | − | 1.19752i | ||||
\(197\) | 10.8385 | − | 6.96546i | 0.772208 | − | 0.496268i | −0.0942311 | − | 0.995550i | \(-0.530039\pi\) |
0.866439 | + | 0.499282i | \(0.166403\pi\) | |||||||
\(198\) | −7.84132 | + | 2.71391i | −0.557258 | + | 0.192869i | ||||
\(199\) | 3.08525 | − | 0.294606i | 0.218708 | − | 0.0208841i | 0.0148731 | − | 0.999889i | \(-0.495266\pi\) |
0.203835 | + | 0.979005i | \(0.434660\pi\) | |||||||
\(200\) | 0.0270732 | − | 0.568337i | 0.00191437 | − | 0.0401875i | ||||
\(201\) | 2.35753 | − | 9.71789i | 0.166288 | − | 0.685447i | ||||
\(202\) | −8.18071 | + | 7.08862i | −0.575592 | + | 0.498754i | ||||
\(203\) | 4.28240 | + | 13.7100i | 0.300566 | + | 0.962256i | ||||
\(204\) | −0.627378 | + | 0.286514i | −0.0439252 | + | 0.0200600i | ||||
\(205\) | −8.12026 | + | 10.3258i | −0.567144 | + | 0.721182i | ||||
\(206\) | −15.0061 | − | 25.9914i | −1.04553 | − | 1.81091i | ||||
\(207\) | −3.15036 | + | 3.61597i | −0.218965 | + | 0.251327i | ||||
\(208\) | −3.41320 | − | 1.97061i | −0.236663 | − | 0.136637i | ||||
\(209\) | 2.23601 | + | 0.321490i | 0.154668 | + | 0.0222379i | ||||
\(210\) | −10.4111 | + | 5.59536i | −0.718431 | + | 0.386117i | ||||
\(211\) | 17.5173 | + | 5.14354i | 1.20594 | + | 0.354096i | 0.822121 | − | 0.569312i | \(-0.192790\pi\) |
0.383819 | + | 0.923408i | \(0.374609\pi\) | |||||||
\(212\) | −1.57797 | − | 8.18728i | −0.108375 | − | 0.562305i | ||||
\(213\) | −6.97691 | + | 7.31717i | −0.478050 | + | 0.501365i | ||||
\(214\) | 36.0033 | + | 1.71505i | 2.46114 | + | 0.117238i | ||||
\(215\) | −6.46888 | + | 4.60647i | −0.441174 | + | 0.314159i | ||||
\(216\) | 0.779059 | + | 0.675058i | 0.0530082 | + | 0.0459319i | ||||
\(217\) | −6.45569 | + | 0.728387i | −0.438241 | + | 0.0494461i | ||||
\(218\) | −33.7334 | + | 4.85012i | −2.28471 | + | 0.328492i | ||||
\(219\) | −2.29893 | − | 0.920354i | −0.155348 | − | 0.0621918i | ||||
\(220\) | −9.41406 | + | 18.2607i | −0.634696 | + | 1.23114i | ||||
\(221\) | −0.0741547 | + | 0.384751i | −0.00498818 | + | 0.0258812i | ||||
\(222\) | 3.96523 | + | 5.56839i | 0.266129 | + | 0.373726i | ||||
\(223\) | −9.29489 | + | 14.4631i | −0.622432 | + | 0.968523i | 0.376678 | + | 0.926344i | \(0.377066\pi\) |
−0.999110 | + | 0.0421786i | \(0.986570\pi\) | |||||||
\(224\) | 3.63539 | − | 20.7737i | 0.242900 | − | 1.38800i | ||||
\(225\) | −0.361456 | − | 0.417142i | −0.0240970 | − | 0.0278095i | ||||
\(226\) | −16.1673 | − | 16.9557i | −1.07543 | − | 1.12788i | ||||
\(227\) | 11.3274 | − | 15.9071i | 0.751824 | − | 1.05579i | −0.244460 | − | 0.969659i | \(-0.578611\pi\) |
0.996284 | − | 0.0861296i | \(-0.0274499\pi\) | |||||||
\(228\) | −0.532952 | − | 1.33125i | −0.0352956 | − | 0.0881642i | ||||
\(229\) | −0.707167 | + | 1.22485i | −0.0467309 | + | 0.0809403i | −0.888445 | − | 0.458984i | \(-0.848214\pi\) |
0.841714 | + | 0.539924i | \(0.181547\pi\) | |||||||
\(230\) | 0.961710 | + | 21.4029i | 0.0634133 | + | 1.41126i | ||||
\(231\) | −10.3427 | + | 0.670663i | −0.680498 | + | 0.0441264i | ||||
\(232\) | 0.796429 | − | 5.53929i | 0.0522881 | − | 0.363672i | ||||
\(233\) | 22.4391 | + | 2.14268i | 1.47004 | + | 0.140371i | 0.799125 | − | 0.601166i | \(-0.205297\pi\) |
0.670912 | + | 0.741537i | \(0.265903\pi\) | |||||||
\(234\) | 2.90802 | − | 0.705479i | 0.190103 | − | 0.0461186i | ||||
\(235\) | 3.87249 | + | 1.34028i | 0.252613 | + | 0.0874303i | ||||
\(236\) | 15.9354 | + | 3.86587i | 1.03730 | + | 0.251647i | ||||
\(237\) | 8.25095 | + | 5.30256i | 0.535957 | + | 0.344439i | ||||
\(238\) | −1.53454 | + | 0.247569i | −0.0994692 | + | 0.0160475i | ||||
\(239\) | 3.56704 | − | 4.11658i | 0.230733 | − | 0.266280i | −0.628563 | − | 0.777758i | \(-0.716357\pi\) |
0.859296 | + | 0.511479i | \(0.170902\pi\) | |||||||
\(240\) | −5.87719 | + | 0.279965i | −0.379371 | + | 0.0180717i | ||||
\(241\) | −8.84391 | + | 6.95492i | −0.569686 | + | 0.448006i | −0.860988 | − | 0.508625i | \(-0.830154\pi\) |
0.291302 | + | 0.956631i | \(0.405912\pi\) | |||||||
\(242\) | −7.23576 | + | 5.69027i | −0.465132 | + | 0.365784i | ||||
\(243\) | 0.998867 | − | 0.0475819i | 0.0640774 | − | 0.00305238i | ||||
\(244\) | 13.8038 | − | 15.9305i | 0.883699 | − | 1.01984i | ||||
\(245\) | −14.3921 | + | 3.28956i | −0.919478 | + | 0.210162i | ||||
\(246\) | 11.0987 | + | 7.13273i | 0.707630 | + | 0.454766i | ||||
\(247\) | −0.791695 | − | 0.192063i | −0.0503744 | − | 0.0122207i | ||||
\(248\) | 2.39202 | + | 0.827886i | 0.151893 | + | 0.0525708i | ||||
\(249\) | −12.3272 | + | 2.99055i | −0.781206 | + | 0.189519i | ||||
\(250\) | −24.6900 | − | 2.35761i | −1.56153 | − | 0.149108i | ||||
\(251\) | 1.79308 | − | 12.4711i | 0.113178 | − | 0.787172i | −0.851616 | − | 0.524166i | \(-0.824377\pi\) |
0.964794 | − | 0.263006i | \(-0.0847138\pi\) | |||||||
\(252\) | 3.65134 | + | 5.47286i | 0.230013 | + | 0.344758i | ||||
\(253\) | −7.02945 | + | 17.4224i | −0.441938 | + | 1.09534i | ||||
\(254\) | −8.99662 | + | 15.5826i | −0.564498 | + | 0.977739i | ||||
\(255\) | 0.217410 | + | 0.543063i | 0.0136147 | + | 0.0340079i | ||||
\(256\) | 3.28188 | − | 4.60876i | 0.205118 | − | 0.288047i | ||||
\(257\) | 4.47179 | + | 4.68988i | 0.278943 | + | 0.292547i | 0.848270 | − | 0.529564i | \(-0.177645\pi\) |
−0.569327 | + | 0.822111i | \(0.692796\pi\) | |||||||
\(258\) | 5.22305 | + | 6.02772i | 0.325173 | + | 0.375269i | ||||
\(259\) | 2.93069 | + | 8.01986i | 0.182104 | + | 0.498330i | ||||
\(260\) | 4.00557 | − | 6.23279i | 0.248415 | − | 0.386541i | ||||
\(261\) | −3.14902 | − | 4.42218i | −0.194919 | − | 0.273726i | ||||
\(262\) | −4.95015 | + | 25.6838i | −0.305821 | + | 1.58675i | ||||
\(263\) | −7.80090 | + | 15.1316i | −0.481024 | + | 0.933057i | 0.516046 | + | 0.856561i | \(0.327403\pi\) |
−0.997070 | + | 0.0764958i | \(0.975627\pi\) | |||||||
\(264\) | 3.74893 | + | 1.50084i | 0.230731 | + | 0.0923706i | ||||
\(265\) | −6.99977 | + | 1.00641i | −0.429992 | + | 0.0618235i | ||||
\(266\) | −0.362331 | − | 3.21134i | −0.0222159 | − | 0.196900i | ||||
\(267\) | 9.76436 | + | 8.46087i | 0.597569 | + | 0.517797i | ||||
\(268\) | −20.2553 | + | 14.4237i | −1.23729 | + | 0.881070i | ||||
\(269\) | −25.3916 | − | 1.20955i | −1.54815 | − | 0.0737476i | −0.744004 | − | 0.668175i | \(-0.767076\pi\) |
−0.804149 | + | 0.594427i | \(0.797379\pi\) | |||||||
\(270\) | 3.08280 | − | 3.23315i | 0.187613 | − | 0.196763i | ||||
\(271\) | 3.14628 | + | 16.3245i | 0.191123 | + | 0.991641i | 0.943115 | + | 0.332468i | \(0.107881\pi\) |
−0.751992 | + | 0.659173i | \(0.770907\pi\) | |||||||
\(272\) | −0.742446 | − | 0.218002i | −0.0450174 | − | 0.0132183i | ||||
\(273\) | 3.73595 | + | 0.113781i | 0.226110 | + | 0.00688632i | ||||
\(274\) | 2.06001 | + | 0.296184i | 0.124449 | + | 0.0178931i | ||||
\(275\) | −1.87254 | − | 1.08111i | −0.112919 | − | 0.0651936i | ||||
\(276\) | 11.8088 | − | 1.66536i | 0.710805 | − | 0.100243i | ||||
\(277\) | −11.1850 | − | 19.3730i | −0.672042 | − | 1.16401i | −0.977324 | − | 0.211749i | \(-0.932084\pi\) |
0.305282 | − | 0.952262i | \(-0.401249\pi\) | |||||||
\(278\) | −0.594560 | + | 0.756044i | −0.0356593 | + | 0.0453445i | ||||
\(279\) | 2.23360 | − | 1.02005i | 0.133722 | − | 0.0610690i | ||||
\(280\) | 5.61239 | + | 1.26002i | 0.335404 | + | 0.0753008i | ||||
\(281\) | 15.1935 | − | 13.1652i | 0.906367 | − | 0.785371i | −0.0708784 | − | 0.997485i | \(-0.522580\pi\) |
0.977245 | + | 0.212114i | \(0.0680348\pi\) | |||||||
\(282\) | 0.970295 | − | 3.99961i | 0.0577802 | − | 0.238173i | ||||
\(283\) | −0.0146524 | + | 0.307591i | −0.000870994 | + | 0.0182844i | −0.999261 | − | 0.0384377i | \(-0.987762\pi\) |
0.998390 | + | 0.0567221i | \(0.0180649\pi\) | |||||||
\(284\) | 25.0271 | − | 2.38980i | 1.48509 | − | 0.141809i | ||||
\(285\) | −1.14931 | + | 0.397781i | −0.0680795 | + | 0.0235625i | ||||
\(286\) | 9.86137 | − | 6.33752i | 0.583115 | − | 0.374745i | ||||
\(287\) | 11.0036 | + | 12.2672i | 0.649520 | + | 0.724107i | ||||
\(288\) | 1.13440 | + | 7.88989i | 0.0668449 | + | 0.464916i | ||||
\(289\) | −0.805232 | − | 16.9039i | −0.0473666 | − | 0.994347i | ||||
\(290\) | −23.8139 | − | 4.58976i | −1.39840 | − | 0.269520i | ||||
\(291\) | −1.64346 | − | 17.2111i | −0.0963411 | − | 1.00893i | ||||
\(292\) | 2.82165 | + | 5.47325i | 0.165125 | + | 0.320297i | ||||
\(293\) | 12.3859 | − | 3.63681i | 0.723589 | − | 0.212465i | 0.100858 | − | 0.994901i | \(-0.467841\pi\) |
0.622731 | + | 0.782436i | \(0.286023\pi\) | |||||||
\(294\) | 4.66284 | + | 14.0750i | 0.271942 | + | 0.820868i | ||||
\(295\) | 3.91817 | − | 13.3441i | 0.228125 | − | 0.776922i | ||||
\(296\) | 0.316234 | − | 3.31175i | 0.0183807 | − | 0.192491i | ||||
\(297\) | 3.63676 | − | 1.45594i | 0.211026 | − | 0.0844822i | ||||
\(298\) | 4.37392 | − | 2.52529i | 0.253375 | − | 0.146286i | ||||
\(299\) | 3.12077 | − | 6.01358i | 0.180479 | − | 0.347775i | ||||
\(300\) | 1.37254i | 0.0792433i | ||||||||
\(301\) | 4.29335 | + | 8.98976i | 0.247464 | + | 0.518161i | ||||
\(302\) | 8.62175 | + | 18.8790i | 0.496126 | + | 1.08636i | ||||
\(303\) | 3.69854 | − | 3.52655i | 0.212475 | − | 0.202595i | ||||
\(304\) | 0.526184 | − | 1.52031i | 0.0301787 | − | 0.0871956i | ||||
\(305\) | −12.9389 | − | 12.3372i | −0.740877 | − | 0.706425i | ||||
\(306\) | 0.522191 | − | 0.269208i | 0.0298517 | − | 0.0153896i | ||||
\(307\) | −30.3413 | − | 13.8564i | −1.73167 | − | 0.790828i | −0.993184 | − | 0.116560i | \(-0.962813\pi\) |
−0.738487 | − | 0.674268i | \(-0.764459\pi\) | |||||||
\(308\) | 20.5291 | + | 15.5818i | 1.16975 | + | 0.887857i | ||||
\(309\) | 7.66030 | + | 11.9197i | 0.435779 | + | 0.678086i | ||||
\(310\) | 4.07695 | − | 10.1837i | 0.231555 | − | 0.578397i | ||||
\(311\) | 13.1892 | + | 16.7714i | 0.747891 | + | 0.951021i | 0.999860 | − | 0.0167146i | \(-0.00532067\pi\) |
−0.251969 | + | 0.967735i | \(0.581078\pi\) | |||||||
\(312\) | −1.29440 | − | 0.667308i | −0.0732808 | − | 0.0377789i | ||||
\(313\) | −10.7648 | − | 31.1027i | −0.608460 | − | 1.75803i | −0.651160 | − | 0.758941i | \(-0.725717\pi\) |
0.0426998 | − | 0.999088i | \(-0.486404\pi\) | |||||||
\(314\) | −12.4586 | + | 27.2805i | −0.703078 | + | 1.53953i | ||||
\(315\) | 4.78385 | − | 2.87247i | 0.269539 | − | 0.161846i | ||||
\(316\) | −6.87118 | − | 23.4011i | −0.386534 | − | 1.31641i | ||||
\(317\) | 20.5297 | − | 3.95677i | 1.15306 | − | 0.222234i | 0.423335 | − | 0.905973i | \(-0.360859\pi\) |
0.729727 | + | 0.683739i | \(0.239647\pi\) | |||||||
\(318\) | 1.67445 | + | 6.90218i | 0.0938985 | + | 0.387055i | ||||
\(319\) | −17.3233 | − | 12.3359i | −0.969920 | − | 0.690677i | ||||
\(320\) | 18.7406 | + | 14.7377i | 1.04763 | + | 0.823865i | ||||
\(321\) | −17.0166 | −0.949775 | ||||||||
\(322\) | 26.6556 | + | 3.43995i | 1.48546 | + | 0.191701i | ||||
\(323\) | −0.159944 | −0.00889953 | ||||||||
\(324\) | −1.95465 | − | 1.53715i | −0.108592 | − | 0.0853975i | ||||
\(325\) | 0.635172 | + | 0.452304i | 0.0352330 | + | 0.0250893i | ||||
\(326\) | 3.01669 | + | 12.4350i | 0.167079 | + | 0.688710i | ||||
\(327\) | 15.7987 | − | 3.04495i | 0.873669 | − | 0.168386i | ||||
\(328\) | −1.80890 | − | 6.16055i | −0.0998798 | − | 0.340159i | ||||
\(329\) | 2.49361 | − | 4.49541i | 0.137477 | − | 0.247840i | ||||
\(330\) | 7.26981 | − | 15.9187i | 0.400190 | − | 0.876294i | ||||
\(331\) | −5.46345 | − | 15.7856i | −0.300298 | − | 0.867655i | −0.989685 | − | 0.143262i | \(-0.954241\pi\) |
0.689386 | − | 0.724394i | \(-0.257880\pi\) | |||||||
\(332\) | 28.0364 | + | 14.4538i | 1.53870 | + | 0.793253i | ||||
\(333\) | −1.99497 | − | 2.53681i | −0.109324 | − | 0.139016i | ||||
\(334\) | 5.80442 | − | 14.4987i | 0.317604 | − | 0.793335i | ||||
\(335\) | 11.4021 | + | 17.7419i | 0.622961 | + | 0.969346i | ||||
\(336\) | −0.924978 | + | 7.32300i | −0.0504617 | + | 0.399502i | ||||
\(337\) | 21.4921 | + | 9.81513i | 1.17075 | + | 0.534664i | 0.903343 | − | 0.428919i | \(-0.141106\pi\) |
0.267408 | + | 0.963583i | \(0.413833\pi\) | |||||||
\(338\) | 20.7178 | − | 10.6808i | 1.12690 | − | 0.580957i | ||||
\(339\) | 8.00488 | + | 7.63264i | 0.434765 | + | 0.414548i | ||||
\(340\) | 0.475758 | − | 1.37461i | 0.0258016 | − | 0.0745488i | ||||
\(341\) | 6.96168 | − | 6.63795i | 0.376996 | − | 0.359465i | ||||
\(342\) | 0.507418 | + | 1.11109i | 0.0274380 | + | 0.0600809i | ||||
\(343\) | 0.952653 | + | 18.4957i | 0.0514385 | + | 0.998676i | ||||
\(344\) | − | 3.88155i | − | 0.209279i | ||||||
\(345\) | −0.934300 | − | 10.0713i | −0.0503010 | − | 0.542223i | ||||
\(346\) | −17.1834 | + | 9.92085i | −0.923786 | + | 0.533348i | ||||
\(347\) | 27.4712 | − | 10.9978i | 1.47473 | − | 0.590392i | 0.511550 | − | 0.859254i | \(-0.329072\pi\) |
0.963179 | + | 0.268861i | \(0.0866473\pi\) | |||||||
\(348\) | −1.28322 | + | 13.4385i | −0.0687879 | + | 0.720380i | ||||
\(349\) | 8.97855 | − | 30.5781i | 0.480611 | − | 1.63681i | −0.260534 | − | 0.965465i | \(-0.583899\pi\) |
0.741145 | − | 0.671345i | \(-0.234283\pi\) | |||||||
\(350\) | −0.820436 | + | 2.98248i | −0.0438541 | + | 0.159420i | ||||
\(351\) | −1.35549 | + | 0.398007i | −0.0723506 | + | 0.0212441i | ||||
\(352\) | 14.3083 | + | 27.7543i | 0.762637 | + | 1.47931i | ||||
\(353\) | 2.92053 | + | 30.5852i | 0.155444 | + | 1.62789i | 0.650837 | + | 0.759218i | \(0.274418\pi\) |
−0.495392 | + | 0.868669i | \(0.664976\pi\) | |||||||
\(354\) | −13.7153 | − | 2.64340i | −0.728958 | − | 0.140495i | ||||
\(355\) | −1.01459 | − | 21.2989i | −0.0538489 | − | 1.13043i | ||||
\(356\) | −4.57229 | − | 31.8009i | −0.242331 | − | 1.68545i | ||||
\(357\) | 0.718080 | − | 0.151217i | 0.0380048 | − | 0.00800328i | ||||
\(358\) | −41.4483 | + | 26.6372i | −2.19061 | + | 1.40782i | ||||
\(359\) | 22.5633 | − | 7.80922i | 1.19084 | − | 0.412155i | 0.341442 | − | 0.939903i | \(-0.389085\pi\) |
0.849401 | + | 0.527748i | \(0.176963\pi\) | |||||||
\(360\) | −2.16424 | + | 0.206660i | −0.114066 | + | 0.0108919i | ||||
\(361\) | −0.888233 | + | 18.6463i | −0.0467491 | + | 0.981385i | ||||
\(362\) | 6.29763 | − | 25.9592i | 0.330996 | − | 1.36438i | ||||
\(363\) | 3.28434 | − | 2.84590i | 0.172383 | − | 0.149371i | ||||
\(364\) | −6.83568 | − | 6.29753i | −0.358287 | − | 0.330080i | ||||
\(365\) | 4.75069 | − | 2.16957i | 0.248662 | − | 0.113560i | ||||
\(366\) | −11.0993 | + | 14.1139i | −0.580169 | + | 0.737745i | ||||
\(367\) | −17.5964 | − | 30.4779i | −0.918525 | − | 1.59093i | −0.801657 | − | 0.597784i | \(-0.796048\pi\) |
−0.116868 | − | 0.993147i | \(-0.537285\pi\) | |||||||
\(368\) | 11.2360 | + | 7.26385i | 0.585719 | + | 0.378654i | ||||
\(369\) | −5.39406 | − | 3.11426i | −0.280804 | − | 0.162122i | ||||
\(370\) | −14.2705 | − | 2.05179i | −0.741888 | − | 0.106667i | ||||
\(371\) | −0.270058 | + | 8.86727i | −0.0140207 | + | 0.460366i | ||||
\(372\) | −5.85868 | − | 1.72026i | −0.303758 | − | 0.0891915i | ||||
\(373\) | −0.874541 | − | 4.53755i | −0.0452820 | − | 0.234945i | 0.952235 | − | 0.305365i | \(-0.0987784\pi\) |
−0.997517 | + | 0.0704194i | \(0.977566\pi\) | |||||||
\(374\) | 1.58819 | − | 1.66564i | 0.0821232 | − | 0.0861283i | ||||
\(375\) | 11.6960 | + | 0.557151i | 0.603980 | + | 0.0287711i | ||||
\(376\) | −1.63154 | + | 1.16181i | −0.0841402 | + | 0.0599160i | ||||
\(377\) | 5.79611 | + | 5.02236i | 0.298515 | + | 0.258665i | ||||
\(378\) | −3.32856 | − | 4.50859i | −0.171203 | − | 0.231897i | ||||
\(379\) | −11.1670 | + | 1.60557i | −0.573608 | + | 0.0824723i | −0.423014 | − | 0.906123i | \(-0.639028\pi\) |
−0.150594 | + | 0.988596i | \(0.548119\pi\) | |||||||
\(380\) | 2.80766 | + | 1.12402i | 0.144030 | + | 0.0576608i | ||||
\(381\) | 3.89249 | − | 7.55038i | 0.199418 | − | 0.386818i | ||||
\(382\) | 6.71705 | − | 34.8514i | 0.343674 | − | 1.78315i | ||||
\(383\) | −7.34052 | − | 10.3083i | −0.375083 | − | 0.526731i | 0.583284 | − | 0.812268i | \(-0.301767\pi\) |
−0.958368 | + | 0.285537i | \(0.907828\pi\) | |||||||
\(384\) | 4.32653 | − | 6.73221i | 0.220787 | − | 0.343552i | ||||
\(385\) | 14.0291 | − | 16.7630i | 0.714987 | − | 0.854320i | ||||
\(386\) | 24.3610 | + | 28.1141i | 1.23994 | + | 1.43097i | ||||
\(387\) | −2.59844 | − | 2.72516i | −0.132086 | − | 0.138528i | ||||
\(388\) | −24.9383 | + | 35.0209i | −1.26605 | + | 1.77792i | ||||
\(389\) | −9.59647 | − | 23.9708i | −0.486561 | − | 1.21537i | −0.945125 | − | 0.326708i | \(-0.894060\pi\) |
0.458565 | − | 0.888661i | \(-0.348364\pi\) | |||||||
\(390\) | −3.15551 | + | 5.46551i | −0.159786 | + | 0.276757i | ||||
\(391\) | 0.317086 | − | 1.29183i | 0.0160357 | − | 0.0653308i | ||||
\(392\) | 2.77068 | − | 6.66277i | 0.139941 | − | 0.336521i | ||||
\(393\) | 1.75739 | − | 12.2229i | 0.0886486 | − | 0.616564i | ||||
\(394\) | 27.1664 | + | 2.59407i | 1.36862 | + | 0.130688i | ||||
\(395\) | −20.1022 | + | 4.87674i | −1.01145 | + | 0.245375i | ||||
\(396\) | −9.20544 | − | 3.18603i | −0.462591 | − | 0.160104i | ||||
\(397\) | 16.0945 | + | 3.90448i | 0.807759 | + | 0.195960i | 0.618314 | − | 0.785931i | \(-0.287816\pi\) |
0.189445 | + | 0.981891i | \(0.439331\pi\) | |||||||
\(398\) | 5.52269 | + | 3.54922i | 0.276827 | + | 0.177906i | ||||
\(399\) | 0.243003 | + | 1.50623i | 0.0121654 | + | 0.0754059i | ||||
\(400\) | −1.00840 | + | 1.16375i | −0.0504199 | + | 0.0581877i | ||||
\(401\) | 13.0338 | − | 0.620875i | 0.650875 | − | 0.0310050i | 0.280452 | − | 0.959868i | \(-0.409516\pi\) |
0.370423 | + | 0.928863i | \(0.379213\pi\) | |||||||
\(402\) | 16.6496 | − | 13.0934i | 0.830406 | − | 0.653039i | ||||
\(403\) | −2.72676 | + | 2.14434i | −0.135829 | + | 0.106817i | ||||
\(404\) | −12.6933 | + | 0.604659i | −0.631518 | + | 0.0300829i | ||||
\(405\) | −1.38113 | + | 1.59390i | −0.0686287 | + | 0.0792018i | ||||
\(406\) | −10.8213 | + | 28.4344i | −0.537052 | + | 1.41118i | ||||
\(407\) | −10.6355 | − | 6.83502i | −0.527182 | − | 0.338799i | ||||
\(408\) | −0.277856 | − | 0.0674072i | −0.0137559 | − | 0.00333715i | ||||
\(409\) | 7.00085 | + | 2.42302i | 0.346170 | + | 0.119810i | 0.494620 | − | 0.869109i | \(-0.335307\pi\) |
−0.148450 | + | 0.988920i | \(0.547429\pi\) | |||||||
\(410\) | −27.0404 | + | 6.55994i | −1.33543 | + | 0.323972i | ||||
\(411\) | −0.978090 | − | 0.0933962i | −0.0482456 | − | 0.00460690i | ||||
\(412\) | 5.01423 | − | 34.8748i | 0.247034 | − | 1.71816i | ||||
\(413\) | −15.6420 | − | 7.72733i | −0.769693 | − | 0.380237i | ||||
\(414\) | −9.97998 | + | 1.89559i | −0.490489 | + | 0.0931631i | ||||
\(415\) | 13.3764 | − | 23.1685i | 0.656619 | − | 1.13730i | ||||
\(416\) | −4.18520 | − | 10.4541i | −0.205197 | − | 0.512556i | ||||
\(417\) | 0.263393 | − | 0.369884i | 0.0128984 | − | 0.0181133i | ||||
\(418\) | 3.30200 | + | 3.46304i | 0.161506 | + | 0.169383i | ||||
\(419\) | −5.97952 | − | 6.90074i | −0.292119 | − | 0.337123i | 0.590653 | − | 0.806926i | \(-0.298870\pi\) |
−0.882771 | + | 0.469803i | \(0.844325\pi\) | |||||||
\(420\) | −13.6679 | − | 2.39188i | −0.666923 | − | 0.116712i | ||||
\(421\) | 3.23688 | − | 5.03668i | 0.157756 | − | 0.245473i | −0.753374 | − | 0.657592i | \(-0.771575\pi\) |
0.911130 | + | 0.412119i | \(0.135211\pi\) | |||||||
\(422\) | 22.4315 | + | 31.5006i | 1.09195 | + | 1.53342i | ||||
\(423\) | −0.367716 | + | 1.90789i | −0.0178790 | + | 0.0927648i | ||||
\(424\) | 1.58385 | − | 3.07224i | 0.0769187 | − | 0.149201i | ||||
\(425\) | 0.142126 | + | 0.0568985i | 0.00689410 | + | 0.00275998i | ||||
\(426\) | −21.1974 | + | 3.04773i | −1.02702 | + | 0.147663i | ||||
\(427\) | −18.0431 | + | 13.3207i | −0.873167 | + | 0.644634i | ||||
\(428\) | 31.9793 | + | 27.7102i | 1.54578 | + | 1.33942i | ||||
\(429\) | −4.50796 | + | 3.21011i | −0.217646 | + | 0.154985i | ||||
\(430\) | −16.8022 | − | 0.800390i | −0.810276 | − | 0.0385982i | ||||
\(431\) | −16.2466 | + | 17.0390i | −0.782573 | + | 0.820739i | −0.987431 | − | 0.158053i | \(-0.949478\pi\) |
0.204858 | + | 0.978792i | \(0.434327\pi\) | |||||||
\(432\) | −0.527978 | − | 2.73941i | −0.0254024 | − | 0.131800i | ||||
\(433\) | −24.7655 | − | 7.27181i | −1.19015 | − | 0.349461i | −0.374073 | − | 0.927399i | \(-0.622039\pi\) |
−0.816080 | + | 0.577938i | \(0.803857\pi\) | |||||||
\(434\) | −11.7024 | − | 7.24012i | −0.561735 | − | 0.347537i | ||||
\(435\) | 11.3330 | + | 1.62944i | 0.543377 | + | 0.0781259i | ||||
\(436\) | −34.6488 | − | 20.0045i | −1.65938 | − | 0.958043i | ||||
\(437\) | 2.65144 | + | 0.786306i | 0.126836 | + | 0.0376141i | ||||
\(438\) | −2.62264 | − | 4.54254i | −0.125314 | − | 0.217051i | ||||
\(439\) | 12.3639 | − | 15.7219i | 0.590095 | − | 0.750367i | −0.395689 | − | 0.918385i | \(-0.629494\pi\) |
0.985784 | + | 0.168018i | \(0.0537366\pi\) | |||||||
\(440\) | −7.74707 | + | 3.53797i | −0.369327 | + | 0.168666i | ||||
\(441\) | −2.51503 | − | 6.53258i | −0.119763 | − | 0.311075i | ||||
\(442\) | −0.627248 | + | 0.543514i | −0.0298352 | + | 0.0258523i | ||||
\(443\) | 2.90171 | − | 11.9610i | 0.137864 | − | 0.568285i | −0.860412 | − | 0.509599i | \(-0.829794\pi\) |
0.998277 | − | 0.0586858i | \(-0.0186910\pi\) | |||||||
\(444\) | −0.381852 | + | 8.01606i | −0.0181219 | + | 0.380426i | ||||
\(445\) | −27.1256 | + | 2.59018i | −1.28588 | + | 0.122786i | ||||
\(446\) | −34.4135 | + | 11.9106i | −1.62953 | + | 0.563985i | ||||
\(447\) | −2.00588 | + | 1.28910i | −0.0948750 | + | 0.0609725i | ||||
\(448\) | 22.2641 | − | 19.9708i | 1.05188 | − | 0.943530i | ||||
\(449\) | −2.19615 | − | 15.2746i | −0.103643 | − | 0.720852i | −0.973689 | − | 0.227882i | \(-0.926820\pi\) |
0.870046 | − | 0.492971i | \(-0.164089\pi\) | |||||||
\(450\) | −0.0556301 | − | 1.16782i | −0.00262243 | − | 0.0550515i | ||||
\(451\) | −23.9585 | − | 4.61763i | −1.12816 | − | 0.217436i | ||||
\(452\) | −2.61440 | − | 27.3793i | −0.122971 | − | 1.28781i | ||||
\(453\) | −4.48985 | − | 8.70909i | −0.210951 | − | 0.409189i | ||||
\(454\) | 39.6883 | − | 11.6535i | 1.86266 | − | 0.546927i | ||||
\(455\) | −5.61099 | + | 5.53690i | −0.263047 | + | 0.259574i | ||||
\(456\) | 0.167476 | − | 0.570369i | 0.00784276 | − | 0.0267100i | ||||
\(457\) | −1.51618 | + | 15.8781i | −0.0709237 | + | 0.742747i | 0.888143 | + | 0.459567i | \(0.151995\pi\) |
−0.959067 | + | 0.283180i | \(0.908611\pi\) | |||||||
\(458\) | −2.78121 | + | 1.11343i | −0.129957 | + | 0.0520271i | ||||
\(459\) | −0.240202 | + | 0.138681i | −0.0112117 | + | 0.00647306i | ||||
\(460\) | −14.6446 | + | 20.4485i | −0.682806 | + | 0.953415i | ||||
\(461\) | 16.2567i | 0.757150i | 0.925571 | + | 0.378575i | \(0.123586\pi\) | ||||
−0.925571 | + | 0.378575i | \(0.876414\pi\) | |||||||
\(462\) | −18.0987 | − | 12.4257i | −0.842027 | − | 0.578097i | ||||
\(463\) | 0.486289 | + | 1.06483i | 0.0225998 | + | 0.0494866i | 0.920595 | − | 0.390518i | \(-0.127704\pi\) |
−0.897996 | + | 0.440005i | \(0.854977\pi\) | |||||||
\(464\) | −10.9613 | + | 10.4516i | −0.508864 | + | 0.485201i | ||||
\(465\) | −1.69380 | + | 4.89392i | −0.0785482 | + | 0.226950i | ||||
\(466\) | 34.5556 | + | 32.9487i | 1.60076 | + | 1.52632i | ||||
\(467\) | −14.1641 | + | 7.30212i | −0.655438 | + | 0.337902i | −0.753662 | − | 0.657263i | \(-0.771714\pi\) |
0.0982237 | + | 0.995164i | \(0.468684\pi\) | |||||||
\(468\) | 3.19549 | + | 1.45933i | 0.147711 | + | 0.0674575i | ||||
\(469\) | 24.3895 | − | 10.2529i | 1.12620 | − | 0.473435i | ||||
\(470\) | 4.69276 | + | 7.30208i | 0.216461 | + | 0.336820i | ||||
\(471\) | 5.26227 | − | 13.1445i | 0.242472 | − | 0.605667i | ||||
\(472\) | 4.20199 | + | 5.34326i | 0.193412 | + | 0.245943i | ||||
\(473\) | −13.1108 | − | 6.75909i | −0.602836 | − | 0.310783i | ||||
\(474\) | 6.79480 | + | 19.6323i | 0.312096 | + | 0.901741i | ||||
\(475\) | −0.132224 | + | 0.289530i | −0.00606686 | + | 0.0132846i | ||||
\(476\) | −1.59573 | − | 0.885153i | −0.0731402 | − | 0.0405709i | ||||
\(477\) | −0.944668 | − | 3.21724i | −0.0432534 | − | 0.147307i | ||||
\(478\) | 11.3292 | − | 2.18353i | 0.518187 | − | 0.0998724i | ||||
\(479\) | 5.56659 | + | 22.9458i | 0.254344 | + | 1.04842i | 0.945476 | + | 0.325691i | \(0.105597\pi\) |
−0.691132 | + | 0.722728i | \(0.742888\pi\) | |||||||
\(480\) | −13.6940 | − | 9.75145i | −0.625043 | − | 0.445091i | ||||
\(481\) | 3.58378 | + | 2.81832i | 0.163406 | + | 0.128504i | ||||
\(482\) | −23.8316 | −1.08550 | ||||||||
\(483\) | −12.6472 | − | 1.02339i | −0.575469 | − | 0.0465661i | ||||
\(484\) | −10.8066 | −0.491208 | ||||||||
\(485\) | 28.6625 | + | 22.5405i | 1.30150 | + | 1.02351i | ||||
\(486\) | 1.72541 | + | 1.22866i | 0.0782664 | + | 0.0557332i | ||||
\(487\) | 3.53055 | + | 14.5531i | 0.159985 | + | 0.659466i | 0.994155 | + | 0.107959i | \(0.0344316\pi\) |
−0.834171 | + | 0.551506i | \(0.814053\pi\) | |||||||
\(488\) | 8.58035 | − | 1.65373i | 0.388414 | − | 0.0748607i | ||||
\(489\) | −1.70192 | − | 5.79620i | −0.0769634 | − | 0.262113i | ||||
\(490\) | −28.2701 | − | 13.3675i | −1.27711 | − | 0.603881i | ||||
\(491\) | 14.8948 | − | 32.6151i | 0.672194 | − | 1.47190i | −0.198513 | − | 0.980098i | \(-0.563611\pi\) |
0.870707 | − | 0.491802i | \(-0.163662\pi\) | |||||||
\(492\) | 5.06571 | + | 14.6364i | 0.228380 | + | 0.659861i | ||||
\(493\) | 1.33836 | + | 0.689971i | 0.0602766 | + | 0.0310747i | ||||
\(494\) | −1.06669 | − | 1.35641i | −0.0479926 | − | 0.0610276i | ||||
\(495\) | −3.07063 | + | 7.67007i | −0.138015 | + | 0.344744i | ||||
\(496\) | −3.70362 | − | 5.76295i | −0.166297 | − | 0.258764i | ||||
\(497\) | −26.5385 | − | 3.35211i | −1.19041 | − | 0.150363i | ||||
\(498\) | −24.4405 | − | 11.1616i | −1.09521 | − | 0.500164i | ||||
\(499\) | 14.7595 | − | 7.60904i | 0.660725 | − | 0.340628i | −0.0950369 | − | 0.995474i | \(-0.530297\pi\) |
0.755762 | + | 0.654846i | \(0.227267\pi\) | |||||||
\(500\) | −21.0730 | − | 20.0931i | −0.942414 | − | 0.898590i | ||||
\(501\) | −2.41149 | + | 6.96755i | −0.107738 | + | 0.311287i | ||||
\(502\) | 19.3148 | − | 18.4166i | 0.862062 | − | 0.821974i | ||||
\(503\) | 8.83879 | + | 19.3543i | 0.394102 | + | 0.862963i | 0.997834 | + | 0.0657762i | \(0.0209523\pi\) |
−0.603732 | + | 0.797187i | \(0.706320\pi\) | |||||||
\(504\) | −0.212643 | + | 2.71905i | −0.00947187 | + | 0.121116i | ||||
\(505\) | 10.7779i | 0.479612i | ||||||||
\(506\) | −34.5164 | + | 19.8041i | −1.53444 | + | 0.880401i | ||||
\(507\) | −9.52995 | + | 5.50212i | −0.423240 | + | 0.244358i | ||||
\(508\) | −19.6103 | + | 7.85079i | −0.870068 | + | 0.348323i | ||||
\(509\) | 3.65791 | − | 38.3073i | 0.162134 | − | 1.69794i | −0.438753 | − | 0.898608i | \(-0.644580\pi\) |
0.600887 | − | 0.799334i | \(-0.294814\pi\) | |||||||
\(510\) | −0.349083 | + | 1.18887i | −0.0154577 | + | 0.0526440i | ||||
\(511\) | −1.65361 | − | 6.33961i | −0.0731515 | − | 0.280448i | ||||
\(512\) | 26.8557 | − | 7.88556i | 1.18687 | − | 0.348496i | ||||
\(513\) | −0.264242 | − | 0.512559i | −0.0116666 | − | 0.0226300i | ||||
\(514\) | 1.30474 | + | 13.6639i | 0.0575497 | + | 0.602687i | ||||
\(515\) | −29.3428 | − | 5.65536i | −1.29300 | − | 0.249205i | ||||
\(516\) | 0.445526 | + | 9.35273i | 0.0196132 | + | 0.411731i | ||||
\(517\) | 1.08323 | + | 7.53400i | 0.0476402 | + | 0.331345i | ||||
\(518\) | −5.62137 | + | 17.1904i | −0.246989 | + | 0.755303i | ||||
\(519\) | 7.88032 | − | 5.06437i | 0.345908 | − | 0.222301i | ||||
\(520\) | 2.90244 | − | 1.00454i | 0.127280 | − | 0.0440521i | ||||
\(521\) | −8.87614 | + | 0.847568i | −0.388871 | + | 0.0371326i | −0.287661 | − | 0.957732i | \(-0.592877\pi\) |
−0.101210 | + | 0.994865i | \(0.532271\pi\) | |||||||
\(522\) | 0.547153 | − | 11.4861i | 0.0239482 | − | 0.502735i | ||||
\(523\) | −2.56873 | + | 10.5885i | −0.112323 | + | 0.463001i | 0.887674 | + | 0.460473i | \(0.152320\pi\) |
−0.999997 | + | 0.00252859i | \(0.999195\pi\) | |||||||
\(524\) | −23.2067 | + | 20.1087i | −1.01379 | + | 0.878453i | ||||
\(525\) | 0.319895 | − | 1.42488i | 0.0139614 | − | 0.0621867i | ||||
\(526\) | −32.8014 | + | 14.9799i | −1.43021 | + | 0.653154i | ||||
\(527\) | −0.421004 | + | 0.535351i | −0.0183392 | + | 0.0233202i | ||||
\(528\) | −5.46439 | − | 9.46461i | −0.237807 | − | 0.411894i | ||||
\(529\) | −11.6072 | + | 19.8563i | −0.504663 | + | 0.863316i | ||||
\(530\) | −12.9724 | − | 7.48960i | −0.563483 | − | 0.325327i | ||||
\(531\) | 6.52708 | + | 0.938453i | 0.283251 | + | 0.0407254i | ||||
\(532\) | 1.99610 | − | 3.22636i | 0.0865420 | − | 0.139881i | ||||
\(533\) | 8.44269 | + | 2.47900i | 0.365694 | + | 0.107377i | ||||
\(534\) | 5.17924 | + | 26.8725i | 0.224128 | + | 1.16289i | ||||
\(535\) | 24.7660 | − | 25.9739i | 1.07073 | − | 1.12295i | ||||
\(536\) | −10.2965 | − | 0.490483i | −0.444741 | − | 0.0211856i | ||||
\(537\) | 18.9474 | − | 13.4924i | 0.817641 | − | 0.582239i | ||||
\(538\) | −40.6932 | − | 35.2609i | −1.75441 | − | 1.52020i | ||||
\(539\) | −17.6803 | − | 20.9607i | −0.761544 | − | 0.902842i | ||||
\(540\) | 5.19109 | − | 0.746366i | 0.223389 | − | 0.0321185i | ||||
\(541\) | −18.8734 | − | 7.55577i | −0.811431 | − | 0.324848i | −0.0714233 | − | 0.997446i | \(-0.522754\pi\) |
−0.740008 | + | 0.672598i | \(0.765178\pi\) | |||||||
\(542\) | −16.1362 | + | 31.2998i | −0.693109 | + | 1.34444i | ||||
\(543\) | −2.38663 | + | 12.3830i | −0.102420 | + | 0.531407i | ||||
\(544\) | −1.28242 | − | 1.80091i | −0.0549834 | − | 0.0772133i | ||||
\(545\) | −18.3457 | + | 28.5465i | −0.785843 | + | 1.22280i | ||||
\(546\) | 6.07138 | + | 5.08119i | 0.259831 | + | 0.217455i | ||||
\(547\) | 2.44006 | + | 2.81598i | 0.104330 | + | 0.120403i | 0.805513 | − | 0.592578i | \(-0.201890\pi\) |
−0.701183 | + | 0.712981i | \(0.747345\pi\) | |||||||
\(548\) | 1.68603 | + | 1.76826i | 0.0720237 | + | 0.0755363i | ||||
\(549\) | 4.91704 | − | 6.90501i | 0.209854 | − | 0.294699i | ||||
\(550\) | −1.70220 | − | 4.25190i | −0.0725822 | − | 0.181302i | ||||
\(551\) | −1.56530 | + | 2.71117i | −0.0666839 | + | 0.115500i | ||||
\(552\) | 4.27473 | + | 2.48341i | 0.181945 | + | 0.105701i | ||||
\(553\) | 1.67914 | + | 25.8949i | 0.0714042 | + | 1.10117i | ||||
\(554\) | 6.74339 | − | 46.9013i | 0.286499 | − | 1.99265i | ||||
\(555\) | 6.77563 | + | 0.646994i | 0.287609 | + | 0.0274634i | ||||
\(556\) | −1.09732 | + | 0.266207i | −0.0465367 | + | 0.0112897i | ||||
\(557\) | −6.87425 | − | 2.37920i | −0.291271 | − | 0.100810i | 0.177525 | − | 0.984116i | \(-0.443191\pi\) |
−0.468796 | + | 0.883306i | \(0.655312\pi\) | |||||||
\(558\) | 5.05457 | + | 1.22623i | 0.213977 | + | 0.0519103i | ||||
\(559\) | 4.47501 | + | 2.87591i | 0.189273 | + | 0.121638i | ||||
\(560\) | −9.83149 | − | 12.0698i | −0.415456 | − | 0.510042i | ||||
\(561\) | −0.711524 | + | 0.821143i | −0.0300406 | + | 0.0346687i | ||||
\(562\) | 42.5352 | − | 2.02620i | 1.79424 | − | 0.0854702i | ||||
\(563\) | 27.2489 | − | 21.4287i | 1.14840 | − | 0.903114i | 0.152044 | − | 0.988374i | \(-0.451415\pi\) |
0.996359 | + | 0.0852602i | \(0.0271721\pi\) | |||||||
\(564\) | 3.79789 | − | 2.98670i | 0.159920 | − | 0.125763i | ||||
\(565\) | −23.3006 | + | 1.10995i | −0.980266 | + | 0.0466958i | ||||
\(566\) | −0.427147 | + | 0.492954i | −0.0179543 | + | 0.0207204i | ||||
\(567\) | 1.67093 | + | 2.05134i | 0.0701723 | + | 0.0861482i | ||||
\(568\) | 8.76766 | + | 5.63463i | 0.367883 | + | 0.236424i | ||||
\(569\) | −29.8002 | − | 7.22944i | −1.24929 | − | 0.303074i | −0.444037 | − | 0.896008i | \(-0.646454\pi\) |
−0.805251 | + | 0.592934i | \(0.797969\pi\) | |||||||
\(570\) | −2.43445 | − | 0.842571i | −0.101968 | − | 0.0352914i | ||||
\(571\) | 8.37623 | − | 2.03205i | 0.350534 | − | 0.0850387i | −0.0566259 | − | 0.998395i | \(-0.518034\pi\) |
0.407160 | + | 0.913357i | \(0.366519\pi\) | |||||||
\(572\) | 13.6992 | + | 1.30811i | 0.572792 | + | 0.0546950i | ||||
\(573\) | −2.38467 | + | 16.5857i | −0.0996210 | + | 0.692879i | ||||
\(574\) | 2.25869 | + | 34.8325i | 0.0942759 | + | 1.45388i | ||||
\(575\) | −2.07634 | − | 1.64193i | −0.0865894 | − | 0.0684733i | ||||
\(576\) | −5.65219 | + | 9.78987i | −0.235508 | + | 0.407911i | ||||
\(577\) | 3.43211 | + | 8.57300i | 0.142881 | + | 0.356899i | 0.982496 | − | 0.186282i | \(-0.0596439\pi\) |
−0.839616 | + | 0.543181i | \(0.817220\pi\) | |||||||
\(578\) | 20.7927 | − | 29.1993i | 0.864864 | − | 1.21453i | ||||
\(579\) | −12.1194 | − | 12.7105i | −0.503667 | − | 0.528230i | ||||
\(580\) | −18.6447 | − | 21.5171i | −0.774179 | − | 0.893450i | ||||
\(581\) | −25.7368 | − | 21.5394i | −1.06774 | − | 0.893603i | ||||
\(582\) | 19.7993 | − | 30.8083i | 0.820706 | − | 1.27704i | ||||
\(583\) | −7.61917 | − | 10.6996i | −0.315554 | − | 0.443133i | ||||
\(584\) | −0.483100 | + | 2.50656i | −0.0199908 | + | 0.103722i | ||||
\(585\) | 1.36527 | − | 2.64825i | 0.0564470 | − | 0.109492i | ||||
\(586\) | 25.3844 | + | 10.1624i | 1.04862 | + | 0.419803i | ||||
\(587\) | 11.2714 | − | 1.62058i | 0.465220 | − | 0.0668885i | 0.0942806 | − | 0.995546i | \(-0.469945\pi\) |
0.370939 | + | 0.928657i | \(0.379036\pi\) | |||||||
\(588\) | −5.91130 | + | 16.3722i | −0.243778 | + | 0.675177i | ||||
\(589\) | −1.07014 | − | 0.927281i | −0.0440943 | − | 0.0382080i | ||||
\(590\) | 23.9961 | − | 17.0875i | 0.987902 | − | 0.703482i | ||||
\(591\) | −12.8691 | − | 0.613031i | −0.529364 | − | 0.0252167i | ||||
\(592\) | −6.21315 | + | 6.51617i | −0.255359 | + | 0.267813i | ||||
\(593\) | 6.47825 | + | 33.6123i | 0.266030 | + | 1.38029i | 0.831500 | + | 0.555525i | \(0.187483\pi\) |
−0.565470 | + | 0.824769i | \(0.691305\pi\) | |||||||
\(594\) | 7.96157 | + | 2.33773i | 0.326667 | + | 0.0959181i | ||||
\(595\) | −0.814280 | + | 1.31615i | −0.0333822 | + | 0.0539568i | ||||
\(596\) | 5.86885 | + | 0.843813i | 0.240397 | + | 0.0345639i | ||||
\(597\) | −2.68406 | − | 1.54964i | −0.109851 | − | 0.0634227i | ||||
\(598\) | 13.0701 | − | 5.92636i | 0.534475 | − | 0.242347i | ||||
\(599\) | −8.38148 | − | 14.5171i | −0.342458 | − | 0.593154i | 0.642431 | − | 0.766344i | \(-0.277926\pi\) |
−0.984889 | + | 0.173189i | \(0.944593\pi\) | |||||||
\(600\) | −0.351721 | + | 0.447250i | −0.0143590 | + | 0.0182589i | ||||
\(601\) | 17.7660 | − | 8.11347i | 0.724691 | − | 0.330955i | −0.0186883 | − | 0.999825i | \(-0.505949\pi\) |
0.743379 | + | 0.668870i | \(0.233222\pi\) | |||||||
\(602\) | −4.62250 | + | 20.5895i | −0.188399 | + | 0.839166i | ||||
\(603\) | −7.55732 | + | 6.54845i | −0.307758 | + | 0.266674i | ||||
\(604\) | −5.74430 | + | 23.6783i | −0.233732 | + | 0.963457i | ||||
\(605\) | −0.436111 | + | 9.15509i | −0.0177304 | + | 0.372208i | ||||
\(606\) | 10.7756 | − | 1.02895i | 0.437729 | − | 0.0417981i | ||||
\(607\) | 26.8993 | − | 9.30993i | 1.09181 | − | 0.377878i | 0.278929 | − | 0.960312i | \(-0.410020\pi\) |
0.812879 | + | 0.582433i | \(0.197899\pi\) | |||||||
\(608\) | 3.86690 | − | 2.48511i | 0.156824 | − | 0.100784i | ||||
\(609\) | 4.46426 | − | 13.6519i | 0.180901 | − | 0.553203i | ||||
\(610\) | −5.38926 | − | 37.4831i | −0.218205 | − | 1.51765i | ||||
\(611\) | −0.130608 | − | 2.74180i | −0.00528383 | − | 0.110921i | ||||
\(612\) | 0.677241 | + | 0.130528i | 0.0273758 | + | 0.00527626i | ||||
\(613\) | −3.63322 | − | 38.0488i | −0.146744 | − | 1.53677i | −0.706258 | − | 0.707954i | \(-0.749618\pi\) |
0.559514 | − | 0.828821i | \(-0.310988\pi\) | |||||||
\(614\) | −32.3751 | − | 62.7989i | −1.30655 | − | 2.53436i | ||||
\(615\) | 12.6041 | − | 3.70090i | 0.508246 | − | 0.149234i | ||||
\(616\) | 2.69659 | + | 10.3382i | 0.108649 | + | 0.416536i | ||||
\(617\) | 5.99789 | − | 20.4269i | 0.241466 | − | 0.822357i | −0.746192 | − | 0.665731i | \(-0.768120\pi\) |
0.987658 | − | 0.156627i | \(-0.0500619\pi\) | |||||||
\(618\) | −2.85285 | + | 29.8764i | −0.114758 | + | 1.20180i | ||||
\(619\) | −0.699884 | + | 0.280191i | −0.0281307 | + | 0.0112618i | −0.385685 | − | 0.922630i | \(-0.626035\pi\) |
0.357554 | + | 0.933892i | \(0.383611\pi\) | |||||||
\(620\) | 11.1525 | − | 6.43891i | 0.447896 | − | 0.258593i | ||||
\(621\) | 4.66368 | − | 1.11809i | 0.187147 | − | 0.0448674i | ||||
\(622\) | 45.1939i | 1.81211i | ||||||||
\(623\) | −2.66517 | + | 34.0793i | −0.106778 | + | 1.36536i | ||||
\(624\) | 1.63724 | + | 3.58506i | 0.0655422 | + | 0.143517i | ||||
\(625\) | −15.8755 | + | 15.1373i | −0.635020 | + | 0.605491i | ||||
\(626\) | 22.8016 | − | 65.8810i | 0.911336 | − | 2.63313i | ||||
\(627\) | −1.63492 | − | 1.55889i | −0.0652923 | − | 0.0622561i | ||||
\(628\) | −31.2941 | + | 16.1332i | −1.24877 | + | 0.643787i | ||||
\(629\) | 0.814231 | + | 0.371847i | 0.0324655 | + | 0.0148265i | ||||
\(630\) | 11.7262 | + | 1.48115i | 0.467184 | + | 0.0590106i | ||||
\(631\) | −4.84584 | − | 7.54027i | −0.192910 | − | 0.300173i | 0.731302 | − | 0.682054i | \(-0.238913\pi\) |
−0.924212 | + | 0.381880i | \(0.875277\pi\) | |||||||
\(632\) | 3.75766 | − | 9.38619i | 0.149472 | − | 0.373363i | ||||
\(633\) | −11.2856 | − | 14.3508i | −0.448563 | − | 0.570394i | ||||
\(634\) | 39.3628 | + | 20.2929i | 1.56329 | + | 0.805934i | ||||
\(635\) | 5.85963 | + | 16.9303i | 0.232532 | + | 0.671858i | ||||
\(636\) | −3.46371 | + | 7.58447i | −0.137345 | + | 0.300744i | ||||
\(637\) | 5.62860 | + | 8.13087i | 0.223013 | + | 0.322157i | ||||
\(638\) | −12.6911 | − | 43.2218i | −0.502445 | − | 1.71117i | ||||
\(639\) | 9.92760 | − | 1.91339i | 0.392730 | − | 0.0756925i | ||||
\(640\) | 3.97908 | + | 16.4020i | 0.157287 | + | 0.648346i | ||||
\(641\) | 30.7372 | + | 21.8879i | 1.21405 | + | 0.864519i | 0.993828 | − | 0.110931i | \(-0.0353833\pi\) |
0.220219 | + | 0.975450i | \(0.429323\pi\) | |||||||
\(642\) | −28.3326 | − | 22.2810i | −1.11820 | − | 0.879362i | ||||
\(643\) | 7.32877 | 0.289018 | 0.144509 | − | 0.989503i | \(-0.453840\pi\) | ||||
0.144509 | + | 0.989503i | \(0.453840\pi\) | |||||||
\(644\) | 22.1014 | + | 22.5183i | 0.870917 | + | 0.887344i | ||||
\(645\) | 7.94141 | 0.312693 | ||||||||
\(646\) | −0.266307 | − | 0.209426i | −0.0104777 | − | 0.00823975i | ||||
\(647\) | 35.3864 | + | 25.1985i | 1.39118 | + | 0.990656i | 0.997445 | + | 0.0714319i | \(0.0227569\pi\) |
0.393736 | + | 0.919224i | \(0.371183\pi\) | |||||||
\(648\) | −0.243030 | − | 1.00178i | −0.00954713 | − | 0.0393538i | ||||
\(649\) | 25.3651 | − | 4.88873i | 0.995668 | − | 0.191899i | ||||
\(650\) | 0.465328 | + | 1.58476i | 0.0182517 | + | 0.0621594i | ||||
\(651\) | 5.68115 | + | 3.15134i | 0.222662 | + | 0.123511i | ||||
\(652\) | −6.24023 | + | 13.6642i | −0.244386 | + | 0.535132i | ||||
\(653\) | −11.7194 | − | 33.8611i | −0.458617 | − | 1.32509i | −0.903150 | − | 0.429325i | \(-0.858752\pi\) |
0.444533 | − | 0.895762i | \(-0.353370\pi\) | |||||||
\(654\) | 30.2917 | + | 15.6165i | 1.18450 | + | 0.610652i | ||||
\(655\) | 16.0991 | + | 20.4717i | 0.629045 | + | 0.799896i | ||||
\(656\) | −6.45820 | + | 16.1318i | −0.252150 | + | 0.629841i | ||||
\(657\) | 1.33880 | + | 2.08321i | 0.0522315 | + | 0.0812738i | ||||
\(658\) | 10.0380 | − | 4.21980i | 0.391322 | − | 0.164505i | ||||
\(659\) | −18.4296 | − | 8.41650i | −0.717914 | − | 0.327860i | 0.0227453 | − | 0.999741i | \(-0.492759\pi\) |
−0.740659 | + | 0.671881i | \(0.765487\pi\) | |||||||
\(660\) | 18.2607 | − | 9.41406i | 0.710798 | − | 0.366442i | ||||
\(661\) | 26.9461 | + | 25.6930i | 1.04808 | + | 0.999343i | 1.00000 | 0.000499804i | \(0.000159093\pi\) | |
0.0480811 | + | 0.998843i | \(0.484689\pi\) | |||||||
\(662\) | 11.5725 | − | 33.4367i | 0.449780 | − | 1.29955i | ||||
\(663\) | 0.283582 | − | 0.270395i | 0.0110134 | − | 0.0105013i | ||||
\(664\) | 5.43197 | + | 11.8944i | 0.210801 | + | 0.461591i | ||||
\(665\) | −2.65275 | − | 1.82126i | −0.102869 | − | 0.0706254i | ||||
\(666\) | − | 6.83593i | − | 0.264887i | ||||||
\(667\) | −18.7944 | − | 18.0174i | −0.727721 | − | 0.697637i | ||||
\(668\) | 15.8780 | − | 9.16717i | 0.614338 | − | 0.354688i | ||||
\(669\) | 15.9608 | − | 6.38975i | 0.617081 | − | 0.247042i | ||||
\(670\) | −4.24635 | + | 44.4698i | −0.164051 | + | 1.71802i | ||||
\(671\) | 9.35545 | − | 31.8617i | 0.361163 | − | 1.23001i | ||||
\(672\) | −15.0112 | + | 14.8130i | −0.579070 | + | 0.571423i | ||||
\(673\) | 2.40383 | − | 0.705828i | 0.0926608 | − | 0.0272077i | −0.235074 | − | 0.971978i | \(-0.575533\pi\) |
0.327734 | + | 0.944770i | \(0.393715\pi\) | |||||||
\(674\) | 22.9327 | + | 44.4833i | 0.883336 | + | 1.71343i | ||||
\(675\) | 0.0524670 | + | 0.549459i | 0.00201945 | + | 0.0211487i | ||||
\(676\) | 26.8694 | + | 5.17865i | 1.03344 | + | 0.199179i | ||||
\(677\) | 0.356604 | + | 7.48605i | 0.0137054 | + | 0.287712i | 0.995307 | + | 0.0967702i | \(0.0308512\pi\) |
−0.981601 | + | 0.190942i | \(0.938846\pi\) | |||||||
\(678\) | 3.33417 | + | 23.1897i | 0.128048 | + | 0.890594i | ||||
\(679\) | 34.0516 | − | 30.5441i | 1.30678 | − | 1.17217i | ||||
\(680\) | 0.507282 | − | 0.326010i | 0.0194534 | − | 0.0125019i | ||||
\(681\) | −18.4540 | + | 6.38699i | −0.707159 | + | 0.244750i | ||||
\(682\) | 20.2827 | − | 1.93676i | 0.776665 | − | 0.0741626i | ||||
\(683\) | −1.24254 | + | 26.0842i | −0.0475446 | + | 0.998084i | 0.841498 | + | 0.540260i | \(0.181674\pi\) |
−0.889043 | + | 0.457824i | \(0.848629\pi\) | |||||||
\(684\) | −0.338071 | + | 1.39355i | −0.0129265 | + | 0.0532836i | ||||
\(685\) | 1.56607 | − | 1.35701i | 0.0598366 | − | 0.0518487i | ||||
\(686\) | −22.6316 | + | 32.0427i | −0.864078 | + | 1.22340i | ||||
\(687\) | 1.28652 | − | 0.587536i | 0.0490839 | − | 0.0224159i | ||||
\(688\) | −6.49368 | + | 8.25738i | −0.247569 | + | 0.314810i | ||||
\(689\) | 2.36846 | + | 4.10229i | 0.0902311 | + | 0.156285i | ||||
\(690\) | 11.6315 | − | 17.9921i | 0.442804 | − | 0.684948i | ||||
\(691\) | −11.1861 | − | 6.45832i | −0.425541 | − | 0.245686i | 0.271904 | − | 0.962324i | \(-0.412347\pi\) |
−0.697445 | + | 0.716638i | \(0.745680\pi\) | |||||||
\(692\) | −23.0564 | − | 3.31501i | −0.876472 | − | 0.126018i | ||||
\(693\) | 8.81391 | + | 5.45303i | 0.334813 | + | 0.207144i | ||||
\(694\) | 60.1396 | + | 17.6586i | 2.28287 | + | 0.670310i | ||||
\(695\) | 0.181241 | + | 0.940368i | 0.00687487 | + | 0.0356702i | ||||
\(696\) | −3.86185 | + | 4.05020i | −0.146383 | + | 0.153522i | ||||
\(697\) | 1.72560 | + | 0.0822003i | 0.0653616 | + | 0.00311356i | ||||
\(698\) | 54.9873 | − | 39.1563i | 2.08130 | − | 1.48209i | ||||
\(699\) | −17.0355 | − | 14.7613i | −0.644342 | − | 0.558325i | ||||
\(700\) | −2.92147 | + | 2.15684i | −0.110421 | + | 0.0815209i | ||||
\(701\) | −25.2643 | + | 3.63246i | −0.954221 | + | 0.137196i | −0.601801 | − | 0.798646i | \(-0.705550\pi\) |
−0.352420 | + | 0.935842i | \(0.614641\pi\) | |||||||
\(702\) | −2.77802 | − | 1.11215i | −0.104850 | − | 0.0419755i | ||||
\(703\) | −0.852783 | + | 1.65417i | −0.0321633 | + | 0.0623881i | ||||
\(704\) | −8.38070 | + | 43.4832i | −0.315859 | + | 1.63883i | ||||
\(705\) | −2.37700 | − | 3.33803i | −0.0895229 | − | 0.125717i | ||||
\(706\) | −35.1847 | + | 54.7484i | −1.32419 | + | 2.06048i | ||||
\(707\) | 13.3183 | + | 2.33071i | 0.500887 | + | 0.0876554i | ||||
\(708\) | −10.7381 | − | 12.3925i | −0.403563 | − | 0.465737i | ||||
\(709\) | 30.2601 | + | 31.7359i | 1.13644 | + | 1.19187i | 0.978897 | + | 0.204353i | \(0.0655090\pi\) |
0.157544 | + | 0.987512i | \(0.449642\pi\) | |||||||
\(710\) | 26.1988 | − | 36.7911i | 0.983223 | − | 1.38074i | ||||
\(711\) | −3.64524 | − | 9.10536i | −0.136707 | − | 0.341478i | ||||
\(712\) | 6.65929 | − | 11.5342i | 0.249568 | − | 0.432264i | ||||
\(713\) | 9.61098 | − | 6.80496i | 0.359934 | − | 0.254848i | ||||
\(714\) | 1.39360 | + | 0.688455i | 0.0521542 | + | 0.0257648i | ||||
\(715\) | 1.66105 | − | 11.5529i | 0.0621198 | − | 0.432053i | ||||
\(716\) | −57.5790 | − | 5.49813i | −2.15183 | − | 0.205475i | ||||
\(717\) | −5.29348 | + | 1.28418i | −0.197688 | + | 0.0479587i | ||||
\(718\) | 47.7929 | + | 16.5413i | 1.78362 | + | 0.617315i | ||||
\(719\) | −5.51933 | − | 1.33897i | −0.205836 | − | 0.0499353i | 0.131515 | − | 0.991314i | \(-0.458016\pi\) |
−0.337351 | + | 0.941379i | \(0.609531\pi\) | |||||||
\(720\) | 4.94981 | + | 3.18105i | 0.184469 | + | 0.118551i | ||||
\(721\) | −13.3337 | + | 35.0360i | −0.496572 | + | 1.30481i | ||||
\(722\) | −25.8938 | + | 29.8831i | −0.963668 | + | 1.11213i | ||||
\(723\) | 11.2383 | − | 0.535345i | 0.417956 | − | 0.0199097i | ||||
\(724\) | 24.6500 | − | 19.3850i | 0.916109 | − | 0.720436i | ||||
\(725\) | 2.35539 | − | 1.85230i | 0.0874770 | − | 0.0687927i | ||||
\(726\) | 9.19476 | − | 0.438000i | 0.341249 | − | 0.0162557i | ||||
\(727\) | 14.1393 | − | 16.3176i | 0.524397 | − | 0.605187i | −0.430329 | − | 0.902672i | \(-0.641603\pi\) |
0.954726 | + | 0.297485i | \(0.0961480\pi\) | |||||||
\(728\) | −0.613670 | − | 3.80378i | −0.0227441 | − | 0.140977i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | 10.7506 | + | 2.60808i | 0.397899 | + | 0.0965293i | ||||
\(731\) | 0.986942 | + | 0.341584i | 0.0365034 | + | 0.0126339i | ||||
\(732\) | −20.4848 | + | 4.96956i | −0.757141 | + | 0.183680i | ||||
\(733\) | −1.33711 | − | 0.127678i | −0.0493871 | − | 0.00471590i | 0.0703332 | − | 0.997524i | \(-0.477594\pi\) |
−0.119720 | + | 0.992808i | \(0.538200\pi\) | |||||||
\(734\) | 10.6088 | − | 73.7858i | 0.391578 | − | 2.72348i | ||||
\(735\) | 13.6316 | + | 5.66864i | 0.502809 | + | 0.209091i | ||||
\(736\) | 12.4056 | + | 36.1588i | 0.457276 | + | 1.33283i | ||||
\(737\) | −19.5864 | + | 33.9246i | −0.721474 | + | 1.24963i | ||||
\(738\) | −4.90338 | − | 12.2481i | −0.180496 | − | 0.450857i | ||||
\(739\) | −16.9022 | + | 23.7358i | −0.621756 | + | 0.873134i | −0.998587 | − | 0.0531479i | \(-0.983075\pi\) |
0.376831 | + | 0.926282i | \(0.377014\pi\) | |||||||
\(740\) | −11.6798 | − | 12.2495i | −0.429359 | − | 0.450299i | ||||
\(741\) | 0.533488 | + | 0.615678i | 0.0195982 | + | 0.0226175i | ||||
\(742\) | −12.0602 | + | 14.4104i | −0.442743 | + | 0.529022i | ||||
\(743\) | −24.6057 | + | 38.2872i | −0.902694 | + | 1.40462i | 0.0117598 | + | 0.999931i | \(0.496257\pi\) |
−0.914454 | + | 0.404689i | \(0.867380\pi\) | |||||||
\(744\) | −1.46826 | − | 2.06188i | −0.0538291 | − | 0.0755923i | ||||
\(745\) | 0.951704 | − | 4.93791i | 0.0348677 | − | 0.180911i | ||||
\(746\) | 4.48522 | − | 8.70011i | 0.164215 | − | 0.318533i | ||||
\(747\) | 11.7762 | + | 4.71446i | 0.430867 | + | 0.172493i | ||||
\(748\) | 2.67433 | − | 0.384511i | 0.0977832 | − | 0.0140591i | ||||
\(749\) | −26.7404 | − | 36.2203i | −0.977072 | − | 1.32346i | ||||
\(750\) | 18.7443 | + | 16.2421i | 0.684447 | + | 0.593077i | ||||
\(751\) | −18.5100 | + | 13.1809i | −0.675440 | + | 0.480979i | −0.865575 | − | 0.500779i | \(-0.833047\pi\) |
0.190135 | + | 0.981758i | \(0.439108\pi\) | |||||||
\(752\) | 5.41450 | + | 0.257925i | 0.197447 | + | 0.00940554i | ||||
\(753\) | −8.69457 | + | 9.11861i | −0.316848 | + | 0.332301i | ||||
\(754\) | 3.07439 | + | 15.9515i | 0.111963 | + | 0.580918i | ||||
\(755\) | 19.8279 | + | 5.82201i | 0.721613 | + | 0.211885i | ||||
\(756\) | 0.200277 | − | 6.57605i | 0.00728402 | − | 0.239169i | ||||
\(757\) | −28.9993 | − | 4.16947i | −1.05400 | − | 0.151542i | −0.406531 | − | 0.913637i | \(-0.633262\pi\) |
−0.647465 | + | 0.762095i | \(0.724171\pi\) | |||||||
\(758\) | −20.6952 | − | 11.9484i | −0.751685 | − | 0.433985i | ||||
\(759\) | 15.8320 | − | 10.1144i | 0.574666 | − | 0.367129i | ||||
\(760\) | 0.626857 | + | 1.08575i | 0.0227385 | + | 0.0393843i | ||||
\(761\) | −29.6447 | + | 37.6963i | −1.07462 | + | 1.36649i | −0.148650 | + | 0.988890i | \(0.547493\pi\) |
−0.925969 | + | 0.377599i | \(0.876750\pi\) | |||||||
\(762\) | 16.3672 | − | 7.47466i | 0.592922 | − | 0.270778i | ||||
\(763\) | 31.3077 | + | 28.8430i | 1.13342 | + | 1.04419i | ||||
\(764\) | 31.4900 | − | 27.2863i | 1.13927 | − | 0.987183i | ||||
\(765\) | 0.137911 | − | 0.568476i | 0.00498618 | − | 0.0205533i | ||||
\(766\) | 1.27544 | − | 26.7748i | 0.0460835 | − | 0.967412i | ||||
\(767\) | −9.27353 | + | 0.885515i | −0.334848 | + | 0.0319741i | ||||
\(768\) | −5.34668 | + | 1.85050i | −0.192932 | + | 0.0667743i | ||||
\(769\) | −5.61407 | + | 3.60794i | −0.202449 | + | 0.130106i | −0.637937 | − | 0.770089i | \(-0.720212\pi\) |
0.435489 | + | 0.900194i | \(0.356576\pi\) | |||||||
\(770\) | 45.3073 | − | 9.54107i | 1.63276 | − | 0.343836i | ||||
\(771\) | −0.922217 | − | 6.41416i | −0.0332128 | − | 0.231000i | ||||
\(772\) | 2.07799 | + | 43.6223i | 0.0747884 | + | 1.57000i | ||||
\(773\) | −17.6779 | − | 3.40713i | −0.635829 | − | 0.122546i | −0.138857 | − | 0.990312i | \(-0.544343\pi\) |
−0.496972 | + | 0.867766i | \(0.665555\pi\) | |||||||
\(774\) | −0.758150 | − | 7.93970i | −0.0272511 | − | 0.285387i | ||||
\(775\) | 0.621050 | + | 1.20467i | 0.0223088 | + | 0.0432730i | ||||
\(776\) | −17.1006 | + | 5.02120i | −0.613877 | + | 0.180251i | ||||
\(777\) | 2.26471 | − | 8.23275i | 0.0812460 | − | 0.295348i | ||||
\(778\) | 15.4086 | − | 52.4767i | 0.552423 | − | 1.88138i | ||||
\(779\) | −0.341419 | + | 3.57550i | −0.0122326 | + | 0.128105i | ||||
\(780\) | −6.87821 | + | 2.75362i | −0.246280 | + | 0.0985955i | ||||
\(781\) | 34.2997 | − | 19.8029i | 1.22734 | − | 0.708604i | ||||
\(782\) | 2.21943 | − | 1.73572i | 0.0793668 | − | 0.0620691i | ||||
\(783\) | 5.42881i | 0.194010i | ||||||||
\(784\) | −17.0407 | + | 9.53873i | −0.608597 | + | 0.340669i | ||||
\(785\) | 12.4048 | + | 27.1628i | 0.442747 | + | 0.969481i | ||||
\(786\) | 18.9304 | − | 18.0501i | 0.675223 | − | 0.643824i | ||||
\(787\) | −13.9603 | + | 40.3356i | −0.497630 | + | 1.43781i | 0.364539 | + | 0.931188i | \(0.381227\pi\) |
−0.862169 | + | 0.506620i | \(0.830895\pi\) | |||||||
\(788\) | 23.1866 | + | 22.1084i | 0.825988 | + | 0.787578i | ||||
\(789\) | 15.1316 | − | 7.80090i | 0.538701 | − | 0.277719i | ||||
\(790\) | −39.8556 | − | 18.2014i | −1.41800 | − | 0.647578i | ||||
\(791\) | −3.66716 | + | 29.0327i | −0.130389 | + | 1.03228i | ||||
\(792\) | −2.18321 | − | 3.39714i | −0.0775771 | − | 0.120712i | ||||
\(793\) | −4.45077 | + | 11.1175i | −0.158052 | + | 0.394794i | ||||
\(794\) | 21.6849 | + | 27.5746i | 0.769568 | + | 0.978585i | ||||
\(795\) | 6.28562 | + | 3.24046i | 0.222928 | + | 0.114927i | ||||
\(796\) | 2.52068 | + | 7.28301i | 0.0893430 | + | 0.258140i | ||||
\(797\) | −7.52507 | + | 16.4776i | −0.266552 | + | 0.583667i | −0.994823 | − | 0.101622i | \(-0.967597\pi\) |
0.728271 | + | 0.685289i | \(0.240324\pi\) | |||||||
\(798\) | −1.56761 | + | 2.82605i | −0.0554929 | + | 0.100041i | ||||
\(799\) | −0.151830 | − | 0.517084i | −0.00537135 | − | 0.0182931i | ||||
\(800\) | −4.32016 | + | 0.832643i | −0.152741 | + | 0.0294384i | ||||
\(801\) | −3.04603 | − | 12.5559i | −0.107626 | − | 0.443641i | ||||
\(802\) | 22.5141 | + | 16.0323i | 0.795002 | + | 0.566119i | ||||
\(803\) | 7.62523 | + | 5.99655i | 0.269089 | + | 0.211614i | ||||
\(804\) | 24.8661 | 0.876959 | ||||||||
\(805\) | 19.9689 | − | 17.8151i | 0.703812 | − | 0.627899i | ||||
\(806\) | −7.34778 | −0.258814 | ||||||||
\(807\) | 19.9818 | + | 15.7138i | 0.703392 | + | 0.553154i | ||||
\(808\) | −4.29116 | − | 3.05572i | −0.150963 | − | 0.107500i | ||||
\(809\) | −2.41727 | − | 9.96412i | −0.0849866 | − | 0.350320i | 0.913402 | − | 0.407058i | \(-0.133445\pi\) |
−0.998389 | + | 0.0567379i | \(0.981930\pi\) | |||||||
\(810\) | −4.38658 | + | 0.845444i | −0.154129 | + | 0.0297059i | ||||
\(811\) | −13.9379 | − | 47.4680i | −0.489424 | − | 1.66683i | −0.720159 | − | 0.693809i | \(-0.755931\pi\) |
0.230735 | − | 0.973017i | \(-0.425887\pi\) | |||||||
\(812\) | −30.6207 | + | 18.3863i | −1.07458 | + | 0.645232i | ||||
\(813\) | 6.90623 | − | 15.1225i | 0.242212 | − | 0.530371i | ||||
\(814\) | −8.75852 | − | 25.3061i | −0.306986 | − | 0.886978i | ||||
\(815\) | 11.3242 | + | 5.83803i | 0.396669 | + | 0.204497i | ||||
\(816\) | 0.478325 | + | 0.608240i | 0.0167447 | + | 0.0212927i | ||||
\(817\) | −0.807020 | + | 2.01584i | −0.0282340 | + | 0.0705252i | ||||
\(818\) | 8.48377 | + | 13.2010i | 0.296628 | + | 0.461562i | ||||
\(819\) | −2.97722 | − | 2.25975i | −0.104032 | − | 0.0789620i | ||||
\(820\) | −29.7134 | − | 13.5697i | −1.03764 | − | 0.473873i | ||||
\(821\) | −13.8916 | + | 7.16164i | −0.484822 | + | 0.249943i | −0.683267 | − | 0.730169i | \(-0.739441\pi\) |
0.198445 | + | 0.980112i | \(0.436411\pi\) | |||||||
\(822\) | −1.50623 | − | 1.43618i | −0.0525357 | − | 0.0500927i | ||||
\(823\) | 13.0383 | − | 37.6716i | 0.454485 | − | 1.31315i | −0.452417 | − | 0.891806i | \(-0.649438\pi\) |
0.906902 | − | 0.421341i | \(-0.138441\pi\) | |||||||
\(824\) | 10.5708 | − | 10.0792i | 0.368252 | − | 0.351127i | ||||
\(825\) | 0.898221 | + | 1.96683i | 0.0312720 | + | 0.0684762i | ||||
\(826\) | −15.9260 | − | 33.3472i | −0.554136 | − | 1.16030i | ||||
\(827\) | − | 28.6965i | − | 0.997873i | −0.866638 | − | 0.498937i | \(-0.833724\pi\) | ||
0.866638 | − | 0.498937i | \(-0.166276\pi\) | |||||||
\(828\) | −10.5851 | − | 5.49320i | −0.367859 | − | 0.190902i | ||||
\(829\) | −27.4033 | + | 15.8213i | −0.951756 | + | 0.549497i | −0.893626 | − | 0.448812i | \(-0.851847\pi\) |
−0.0581300 | + | 0.998309i | \(0.518514\pi\) | |||||||
\(830\) | 52.6077 | − | 21.0610i | 1.82604 | − | 0.731037i | ||||
\(831\) | −2.12641 | + | 22.2687i | −0.0737642 | + | 0.772494i | ||||
\(832\) | 4.49922 | − | 15.3229i | 0.155982 | − | 0.531227i | ||||
\(833\) | 1.45028 | + | 1.29082i | 0.0502492 | + | 0.0447244i | ||||
\(834\) | 0.922863 | − | 0.270977i | 0.0319561 | − | 0.00938317i | ||||
\(835\) | −7.12546 | − | 13.8215i | −0.246587 | − | 0.478311i | ||||
\(836\) | 0.533967 | + | 5.59195i | 0.0184676 | + | 0.193402i | ||||
\(837\) | −2.41113 | − | 0.464707i | −0.0833408 | − | 0.0160626i | ||||
\(838\) | −0.920283 | − | 19.3191i | −0.0317906 | − | 0.667368i | ||||
\(839\) | 5.55277 | + | 38.6203i | 0.191703 | + | 1.33332i | 0.827500 | + | 0.561466i | \(0.189762\pi\) |
−0.635797 | + | 0.771856i | \(0.719328\pi\) | |||||||
\(840\) | −3.84083 | − | 4.28189i | −0.132521 | − | 0.147739i | ||||
\(841\) | 0.397069 | − | 0.255181i | 0.0136920 | − | 0.00879934i | ||||
\(842\) | 11.9843 | − | 4.14780i | 0.413005 | − | 0.142943i | ||||
\(843\) | −20.0128 | + | 1.91099i | −0.689278 | + | 0.0658181i | ||||
\(844\) | −2.16015 | + | 45.3472i | −0.0743555 | + | 1.56091i | ||||
\(845\) | 5.47158 | − | 22.5542i | 0.188228 | − | 0.775887i | ||||
\(846\) | −3.11038 | + | 2.69516i | −0.106937 | + | 0.0926615i | ||||
\(847\) | 11.2187 | + | 2.51868i | 0.385478 | + | 0.0865428i | ||||
\(848\) | −8.50913 | + | 3.88599i | −0.292205 | + | 0.133445i | ||||
\(849\) | 0.190356 | − | 0.242057i | 0.00653300 | − | 0.00830738i | ||||
\(850\) | 0.162138 | + | 0.280831i | 0.00556128 | + | 0.00963241i | ||||
\(851\) | −11.6697 | − | 10.1671i | −0.400033 | − | 0.348523i | ||||
\(852\) | −21.7727 | − | 12.5705i | −0.745921 | − | 0.430657i | ||||
\(853\) | −23.7512 | − | 3.41490i | −0.813224 | − | 0.116924i | −0.276860 | − | 0.960910i | \(-0.589294\pi\) |
−0.536365 | + | 0.843986i | \(0.680203\pi\) | |||||||
\(854\) | −47.4835 | − | 1.44614i | −1.62485 | − | 0.0494858i | ||||
\(855\) | 1.16694 | + | 0.342644i | 0.0399085 | + | 0.0117182i | ||||
\(856\) | 3.31974 | + | 17.2244i | 0.113466 | + | 0.588720i | ||||
\(857\) | 4.37398 | − | 4.58730i | 0.149412 | − | 0.156699i | −0.644774 | − | 0.764373i | \(-0.723049\pi\) |
0.794187 | + | 0.607674i | \(0.207897\pi\) | |||||||
\(858\) | −11.7090 | − | 0.557767i | −0.399737 | − | 0.0190418i | ||||
\(859\) | −9.19901 | + | 6.55058i | −0.313866 | + | 0.223503i | −0.726123 | − | 0.687564i | \(-0.758680\pi\) |
0.412257 | + | 0.911067i | \(0.364740\pi\) | |||||||
\(860\) | −14.9243 | − | 12.9320i | −0.508913 | − | 0.440976i | ||||
\(861\) | −1.84760 | − | 16.3752i | −0.0629659 | − | 0.558066i | ||||
\(862\) | −49.3609 | + | 7.09703i | −1.68124 | + | 0.241726i | ||||
\(863\) | −8.97028 | − | 3.59116i | −0.305352 | − | 0.122244i | 0.213926 | − | 0.976850i | \(-0.431375\pi\) |
−0.519278 | + | 0.854605i | \(0.673799\pi\) | |||||||
\(864\) | 3.65253 | − | 7.08493i | 0.124262 | − | 0.241034i | ||||
\(865\) | −3.73887 | + | 19.3991i | −0.127125 | + | 0.659589i | ||||
\(866\) | −31.7130 | − | 44.5347i | −1.07765 | − | 1.51335i | ||||
\(867\) | −9.14930 | + | 14.2366i | −0.310727 | + | 0.483500i | ||||
\(868\) | −5.54487 | − | 15.1736i | −0.188205 | − | 0.515026i | ||||
\(869\) | −25.1606 | − | 29.0369i | −0.853515 | − | 0.985009i | ||||
\(870\) | 16.7359 | + | 17.5521i | 0.567401 | + | 0.595073i | ||||
\(871\) | 8.19435 | − | 11.5073i | 0.277655 | − | 0.389912i | ||||
\(872\) | −6.16427 | − | 15.3976i | −0.208749 | − | 0.521429i | ||||
\(873\) | −8.64467 | + | 14.9730i | −0.292578 | + | 0.506760i | ||||
\(874\) | 3.38508 | + | 4.78091i | 0.114502 | + | 0.161717i | ||||
\(875\) | 17.1936 | + | 25.7708i | 0.581248 | + | 0.871212i | ||||
\(876\) | 0.876342 | − | 6.09509i | 0.0296089 | − | 0.205934i | ||||
\(877\) | 20.0859 | + | 1.91797i | 0.678252 | + | 0.0647653i | 0.428496 | − | 0.903544i | \(-0.359043\pi\) |
0.249756 | + | 0.968309i | \(0.419650\pi\) | |||||||
\(878\) | 41.1716 | − | 9.98812i | 1.38947 | − | 0.337083i | ||||
\(879\) | −12.1988 | − | 4.22204i | −0.411455 | − | 0.142406i | ||||
\(880\) | 22.3995 | + | 5.43406i | 0.755087 | + | 0.183182i | ||||
\(881\) | 2.61507 | + | 1.68061i | 0.0881041 | + | 0.0566210i | 0.583951 | − | 0.811789i | \(-0.301506\pi\) |
−0.495847 | + | 0.868410i | \(0.665142\pi\) | |||||||
\(882\) | 4.36604 | − | 14.1698i | 0.147012 | − | 0.477123i | ||||
\(883\) | 17.0216 | − | 19.6440i | 0.572822 | − | 0.661072i | −0.393224 | − | 0.919443i | \(-0.628640\pi\) |
0.966046 | + | 0.258371i | \(0.0831856\pi\) | |||||||
\(884\) | −0.973251 | + | 0.0463617i | −0.0327340 | + | 0.00155931i | ||||
\(885\) | −10.9320 | + | 8.59700i | −0.367474 | + | 0.288985i | ||||
\(886\) | 20.4927 | − | 16.1156i | 0.688466 | − | 0.541416i | ||||
\(887\) | −4.65035 | + | 0.221524i | −0.156144 | + | 0.00743803i | −0.125508 | − | 0.992093i | \(-0.540056\pi\) |
−0.0306354 | + | 0.999531i | \(0.509753\pi\) | |||||||
\(888\) | −2.17860 | + | 2.51424i | −0.0731090 | + | 0.0843722i | ||||
\(889\) | 22.1879 | − | 3.57962i | 0.744160 | − | 0.120056i | ||||
\(890\) | −48.5556 | − | 31.2048i | −1.62759 | − | 1.04599i | ||||
\(891\) | −3.80695 | − | 0.923556i | −0.127538 | − | 0.0309403i | ||||
\(892\) | −40.4003 | − | 13.9827i | −1.35270 | − | 0.468175i | ||||
\(893\) | 1.08887 | − | 0.264158i | 0.0364378 | − | 0.00883971i | ||||
\(894\) | −5.02770 | − | 0.480087i | −0.168151 | − | 0.0160565i | ||||
\(895\) | −6.98156 | + | 48.5578i | −0.233368 | + | 1.62311i | ||||
\(896\) | 21.1285 | − | 1.37006i | 0.705853 | − | 0.0457705i | ||||
\(897\) | −6.03033 | + | 3.08830i | −0.201347 | + | 0.103115i | ||||
\(898\) | 16.3435 | − | 28.3077i | 0.545389 | − | 0.944641i | ||||
\(899\) | 4.95443 | + | 12.3756i | 0.165240 | + | 0.412749i | ||||
\(900\) | 0.796148 | − | 1.11803i | 0.0265383 | − | 0.0372678i | ||||
\(901\) | 0.641781 | + | 0.673081i | 0.0213808 | + | 0.0224236i | ||||
\(902\) | −33.8447 | − | 39.0589i | −1.12691 | − | 1.30052i | ||||
\(903\) | 1.71732 | − | 9.81323i | 0.0571487 | − | 0.326564i | ||||
\(904\) | 6.16420 | − | 9.59168i | 0.205018 | − | 0.319015i | ||||
\(905\) | −15.4277 | − | 21.6652i | −0.512835 | − | 0.720176i | ||||
\(906\) | 3.92782 | − | 20.3795i | 0.130493 | − | 0.677063i | ||||
\(907\) | −21.9745 | + | 42.6246i | −0.729652 | + | 1.41533i | 0.172984 | + | 0.984925i | \(0.444659\pi\) |
−0.902637 | + | 0.430404i | \(0.858371\pi\) | |||||||
\(908\) | 45.0812 | + | 18.0478i | 1.49607 | + | 0.598938i | ||||
\(909\) | −5.05834 | + | 0.727279i | −0.167774 | + | 0.0241223i | ||||
\(910\) | −16.5921 | + | 1.87207i | −0.550024 | + | 0.0620585i | ||||
\(911\) | 19.5329 | + | 16.9253i | 0.647153 | + | 0.560761i | 0.915378 | − | 0.402595i | \(-0.131892\pi\) |
−0.268225 | + | 0.963356i | \(0.586437\pi\) | |||||||
\(912\) | −1.31048 | + | 0.933190i | −0.0433944 | + | 0.0309010i | ||||
\(913\) | 49.6348 | + | 2.36440i | 1.64267 | + | 0.0782501i | ||||
\(914\) | −23.3147 | + | 24.4518i | −0.771183 | + | 0.808793i | ||||
\(915\) | 3.38342 | + | 17.5549i | 0.111852 | + | 0.580346i | ||||
\(916\) | −3.37451 | − | 0.990847i | −0.111497 | − | 0.0327385i | ||||
\(917\) | 28.7784 | − | 15.4668i | 0.950346 | − | 0.510758i | ||||
\(918\) | −0.581520 | − | 0.0836100i | −0.0191930 | − | 0.00275954i | ||||
\(919\) | −11.9312 | − | 6.88846i | −0.393572 | − | 0.227229i | 0.290134 | − | 0.956986i | \(-0.406300\pi\) |
−0.683707 | + | 0.729757i | \(0.739633\pi\) | |||||||
\(920\) | −10.0121 | + | 2.91051i | −0.330089 | + | 0.0959567i | ||||
\(921\) | 16.6778 | + | 28.8868i | 0.549552 | + | 0.951852i | ||||
\(922\) | −21.2860 | + | 27.0674i | −0.701017 | + | 0.891416i | ||||
\(923\) | −12.9922 | + | 5.93336i | −0.427645 | + | 0.195299i | ||||
\(924\) | −7.68413 | − | 24.6006i | −0.252789 | − | 0.809301i | ||||
\(925\) | 1.34623 | − | 1.16652i | 0.0442638 | − | 0.0383548i | ||||
\(926\) | −0.584578 | + | 2.40966i | −0.0192104 | + | 0.0791865i | ||||
\(927\) | 0.674185 | − | 14.1529i | 0.0221431 | − | 0.464842i | ||||
\(928\) | −43.0772 | + | 4.11338i | −1.41408 | + | 0.135028i | ||||
\(929\) | 38.3538 | − | 13.2744i | 1.25835 | − | 0.435518i | 0.385135 | − | 0.922860i | \(-0.374155\pi\) |
0.873211 | + | 0.487343i | \(0.162034\pi\) | |||||||
\(930\) | −9.22813 | + | 5.93056i | −0.302602 | + | 0.194471i | ||||
\(931\) | −2.82419 | + | 2.88417i | −0.0925590 | + | 0.0945249i | ||||
\(932\) | 7.97709 | + | 55.4819i | 0.261298 | + | 1.81737i | ||||
\(933\) | −1.01522 | − | 21.3121i | −0.0332368 | − | 0.697727i | ||||
\(934\) | −33.1444 | − | 6.38806i | −1.08452 | − | 0.209024i | ||||
\(935\) | −0.217824 | − | 2.28115i | −0.00712360 | − | 0.0746017i | ||||
\(936\) | 0.667308 | + | 1.29440i | 0.0218116 | + | 0.0423087i | ||||
\(937\) | −31.4006 | + | 9.22004i | −1.02581 | + | 0.301206i | −0.751007 | − | 0.660294i | \(-0.770432\pi\) |
−0.274805 | + | 0.961500i | \(0.588613\pi\) | |||||||
\(938\) | 54.0332 | + | 14.8637i | 1.76425 | + | 0.485319i | ||||
\(939\) | −9.27263 | + | 31.5797i | −0.302601 | + | 1.03056i | ||||
\(940\) | −0.968624 | + | 10.1439i | −0.0315930 | + | 0.330857i | ||||
\(941\) | −0.0761579 | + | 0.0304890i | −0.00248268 | + | 0.000993914i | −0.372903 | − | 0.927870i | \(-0.621638\pi\) |
0.370421 | + | 0.928864i | \(0.379213\pi\) | |||||||
\(942\) | 25.9727 | − | 14.9953i | 0.846235 | − | 0.488574i | ||||
\(943\) | −28.2016 | − | 9.84591i | −0.918372 | − | 0.320627i | ||||
\(944\) | − | 18.3967i | − | 0.598761i | ||||||
\(945\) | −5.56300 | − | 0.435054i | −0.180965 | − | 0.0141523i | ||||
\(946\) | −12.9793 | − | 28.4208i | −0.421994 | − | 0.924039i | ||||
\(947\) | −26.7523 | + | 25.5082i | −0.869331 | + | 0.828906i | −0.986425 | − | 0.164215i | \(-0.947491\pi\) |
0.117093 | + | 0.993121i | \(0.462642\pi\) | |||||||
\(948\) | −7.97687 | + | 23.0476i | −0.259077 | + | 0.748553i | ||||
\(949\) | −2.53186 | − | 2.41412i | −0.0821875 | − | 0.0783657i | ||||
\(950\) | −0.599255 | + | 0.308937i | −0.0194424 | + | 0.0100232i | ||||
\(951\) | −19.0181 | − | 8.68529i | −0.616705 | − | 0.281640i | ||||
\(952\) | −0.293153 | − | 0.697349i | −0.00950115 | − | 0.0226012i | ||||
\(953\) | −8.57768 | − | 13.3471i | −0.277858 | − | 0.432356i | 0.674074 | − | 0.738663i | \(-0.264543\pi\) |
−0.951933 | + | 0.306308i | \(0.900906\pi\) | |||||||
\(954\) | 2.63969 | − | 6.59362i | 0.0854631 | − | 0.213476i | ||||
\(955\) | −21.8455 | − | 27.7788i | −0.706905 | − | 0.898902i | ||||
\(956\) | 12.0392 | + | 6.20664i | 0.389376 | + | 0.200737i | ||||
\(957\) | 6.95565 | + | 20.0970i | 0.224844 | + | 0.649645i | ||||
\(958\) | −20.7761 | + | 45.4934i | −0.671247 | + | 1.46983i | ||||
\(959\) | −1.33820 | − | 2.22865i | −0.0432128 | − | 0.0719669i | ||||
\(960\) | −6.71689 | − | 22.8756i | −0.216787 | − | 0.738307i | ||||
\(961\) | 24.5193 | − | 4.72570i | 0.790944 | − | 0.152442i | ||||
\(962\) | 2.27677 | + | 9.38499i | 0.0734061 | + | 0.302584i | ||||
\(963\) | 13.8613 | + | 9.87061i | 0.446675 | + | 0.318076i | ||||
\(964\) | −21.9918 | − | 17.2946i | −0.708309 | − | 0.557021i | ||||
\(965\) | 37.0398 | 1.19235 | ||||||||
\(966\) | −19.7176 | − | 18.2639i | −0.634404 | − | 0.587630i | ||||
\(967\) | 34.0005 | 1.09338 | 0.546692 | − | 0.837334i | \(-0.315887\pi\) | ||||
0.546692 | + | 0.837334i | \(0.315887\pi\) | |||||||
\(968\) | −3.52139 | − | 2.76926i | −0.113182 | − | 0.0890072i | ||||
\(969\) | 0.130287 | + | 0.0927767i | 0.00418541 | + | 0.00298042i | ||||
\(970\) | 18.2093 | + | 75.0597i | 0.584665 | + | 2.41002i | ||||
\(971\) | −37.4633 | + | 7.22046i | −1.20225 | + | 0.231715i | −0.750770 | − | 0.660564i | \(-0.770317\pi\) |
−0.451484 | + | 0.892279i | \(0.649105\pi\) | |||||||
\(972\) | 0.700575 | + | 2.38594i | 0.0224709 | + | 0.0765290i | ||||
\(973\) | 1.20121 | − | 0.0206072i | 0.0385090 | − | 0.000660637i | ||||
\(974\) | −13.1771 | + | 28.8537i | −0.422220 | + | 0.924534i | ||||
\(975\) | −0.255034 | − | 0.736872i | −0.00816762 | − | 0.0235988i | ||||
\(976\) | −21.0199 | − | 10.8365i | −0.672832 | − | 0.346869i | ||||
\(977\) | 2.25170 | + | 2.86327i | 0.0720383 | + | 0.0916041i | 0.820737 | − | 0.571307i | \(-0.193563\pi\) |
−0.748698 | + | 0.662911i | \(0.769321\pi\) | |||||||
\(978\) | 4.75567 | − | 11.8791i | 0.152070 | − | 0.379852i | ||||
\(979\) | −27.3634 | − | 42.5782i | −0.874537 | − | 1.36081i | ||||
\(980\) | −16.3869 | − | 32.8510i | −0.523460 | − | 1.04939i | ||||
\(981\) | −14.6355 | − | 6.68379i | −0.467274 | − | 0.213397i | ||||
\(982\) | 67.5051 | − | 34.8013i | 2.15417 | − | 1.11055i | ||||
\(983\) | 1.66541 | + | 1.58796i | 0.0531183 | + | 0.0506482i | 0.716173 | − | 0.697922i | \(-0.245892\pi\) |
−0.663055 | + | 0.748571i | \(0.730740\pi\) | |||||||
\(984\) | −2.09998 | + | 6.06750i | −0.0669450 | + | 0.193425i | ||||
\(985\) | 19.6655 | − | 18.7510i | 0.626594 | − | 0.597456i | ||||
\(986\) | 1.32494 | + | 2.90120i | 0.0421945 | + | 0.0923932i | ||||
\(987\) | −4.63883 | + | 2.21542i | −0.147656 | + | 0.0705176i | ||||
\(988\) | − | 2.02578i | − | 0.0644488i | ||||||
\(989\) | −14.6816 | − | 10.5145i | −0.466847 | − | 0.334341i | ||||
\(990\) | −15.1556 | + | 8.75006i | −0.481675 | + | 0.278095i | ||||
\(991\) | 22.6595 | − | 9.07150i | 0.719803 | − | 0.288166i | 0.0173041 | − | 0.999850i | \(-0.494492\pi\) |
0.702499 | + | 0.711684i | \(0.252067\pi\) | |||||||
\(992\) | 1.86052 | − | 19.4842i | 0.0590716 | − | 0.618625i | ||||
\(993\) | −4.70615 | + | 16.0277i | −0.149345 | + | 0.508623i | ||||
\(994\) | −39.7974 | − | 40.3299i | −1.26230 | − | 1.27919i | ||||
\(995\) | 6.27174 | − | 1.84155i | 0.198827 | − | 0.0583810i | ||||
\(996\) | −14.4538 | − | 28.0364i | −0.457985 | − | 0.888367i | ||||
\(997\) | 2.99397 | + | 31.3542i | 0.0948199 | + | 0.992999i | 0.910227 | + | 0.414110i | \(0.135907\pi\) |
−0.815407 | + | 0.578888i | \(0.803487\pi\) | |||||||
\(998\) | 34.5376 | + | 6.65657i | 1.09327 | + | 0.210710i | ||||
\(999\) | 0.153560 | + | 3.22362i | 0.00485842 | + | 0.101991i |
(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 | 483.2.bf.a.61.28 | ✓ | 640 | |
7.3 | odd | 6 | inner | 483.2.bf.a.199.5 | yes | 640 | |
23.20 | odd | 22 | inner | 483.2.bf.a.250.5 | yes | 640 | |
161.66 | even | 66 | inner | 483.2.bf.a.388.28 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.61.28 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.199.5 | yes | 640 | 7.3 | odd | 6 | inner | |
483.2.bf.a.250.5 | yes | 640 | 23.20 | odd | 22 | inner | |
483.2.bf.a.388.28 | yes | 640 | 161.66 | even | 66 | inner |