Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(21,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.q (of order \(18\), degree \(6\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 109.1 | ||
Character | \(\chi\) | \(=\) | 418.109 |
Dual form | 418.2.q.b.395.1 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | −3.24219 | − | 0.571685i | −1.87188 | − | 0.330062i | −0.881916 | − | 0.471406i | \(-0.843747\pi\) |
−0.989961 | + | 0.141343i | \(0.954858\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −2.49158 | − | 2.09069i | −1.11427 | − | 0.934983i | −0.115968 | − | 0.993253i | \(-0.536997\pi\) |
−0.998301 | + | 0.0582700i | \(0.981442\pi\) | |||||||
\(6\) | 3.24219 | − | 0.571685i | 1.32362 | − | 0.233389i | ||||
\(7\) | 3.04403 | − | 1.75747i | 1.15054 | − | 0.664263i | 0.201519 | − | 0.979485i | \(-0.435412\pi\) |
0.949018 | + | 0.315222i | \(0.102079\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 7.36587 | + | 2.68096i | 2.45529 | + | 0.893653i | ||||
\(10\) | 3.05638 | + | 1.11243i | 0.966511 | + | 0.351781i | ||||
\(11\) | −1.06895 | − | 3.13964i | −0.322301 | − | 0.946637i | ||||
\(12\) | −2.85113 | + | 1.64610i | −0.823051 | + | 0.475188i | ||||
\(13\) | −0.777184 | − | 4.40763i | −0.215552 | − | 1.22246i | −0.879946 | − | 0.475074i | \(-0.842421\pi\) |
0.664394 | − | 0.747382i | \(-0.268690\pi\) | |||||||
\(14\) | −2.25937 | + | 2.69261i | −0.603841 | + | 0.719629i | ||||
\(15\) | 6.88296 | + | 8.20279i | 1.77717 | + | 2.11795i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −1.65951 | − | 4.55945i | −0.402489 | − | 1.10583i | −0.961052 | − | 0.276368i | \(-0.910869\pi\) |
0.558563 | − | 0.829462i | \(-0.311353\pi\) | |||||||
\(18\) | −7.83860 | −1.84757 | ||||||||
\(19\) | 1.49510 | + | 4.09447i | 0.343000 | + | 0.939335i | ||||
\(20\) | −3.25253 | −0.727288 | ||||||||
\(21\) | −10.8740 | + | 3.95783i | −2.37291 | + | 0.863669i | ||||
\(22\) | 2.07831 | + | 2.58469i | 0.443096 | + | 0.551059i | ||||
\(23\) | −2.81159 | + | 2.35920i | −0.586256 | + | 0.491927i | −0.886995 | − | 0.461779i | \(-0.847211\pi\) |
0.300739 | + | 0.953707i | \(0.402767\pi\) | |||||||
\(24\) | 2.11619 | − | 2.52197i | 0.431965 | − | 0.514796i | ||||
\(25\) | 0.968774 | + | 5.49419i | 0.193755 | + | 1.09884i | ||||
\(26\) | 2.23781 | + | 3.87600i | 0.438871 | + | 0.760147i | ||||
\(27\) | −13.7955 | − | 7.96482i | −2.65494 | − | 1.53283i | ||||
\(28\) | 1.20218 | − | 3.30297i | 0.227191 | − | 0.624203i | ||||
\(29\) | −0.773042 | − | 0.281364i | −0.143550 | − | 0.0522481i | 0.269246 | − | 0.963071i | \(-0.413226\pi\) |
−0.412796 | + | 0.910823i | \(0.635448\pi\) | |||||||
\(30\) | −9.27339 | − | 5.35399i | −1.69308 | − | 0.977501i | ||||
\(31\) | −6.08322 | + | 3.51215i | −1.09258 | + | 0.630800i | −0.934262 | − | 0.356588i | \(-0.883940\pi\) |
−0.158316 | + | 0.987388i | \(0.550607\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 1.67086 | + | 10.7904i | 0.290859 | + | 1.87837i | ||||
\(34\) | 3.11885 | + | 3.71690i | 0.534878 | + | 0.637443i | ||||
\(35\) | −11.2588 | − | 1.98523i | −1.90308 | − | 0.335565i | ||||
\(36\) | 7.36587 | − | 2.68096i | 1.22765 | − | 0.446826i | ||||
\(37\) | − | 0.457611i | − | 0.0752309i | −0.999292 | − | 0.0376154i | \(-0.988024\pi\) | ||
0.999292 | − | 0.0376154i | \(-0.0119762\pi\) | |||||||
\(38\) | −2.80533 | − | 3.33619i | −0.455084 | − | 0.541201i | ||||
\(39\) | 14.7347i | 2.35943i | ||||||||
\(40\) | 3.05638 | − | 1.11243i | 0.483256 | − | 0.175891i | ||||
\(41\) | 0.954338 | − | 5.41232i | 0.149043 | − | 0.845262i | −0.814989 | − | 0.579476i | \(-0.803257\pi\) |
0.964032 | − | 0.265787i | \(-0.0856316\pi\) | |||||||
\(42\) | 8.86461 | − | 7.43829i | 1.36784 | − | 1.14775i | ||||
\(43\) | 3.56993 | − | 4.25448i | 0.544409 | − | 0.648802i | −0.421761 | − | 0.906707i | \(-0.638588\pi\) |
0.966170 | + | 0.257906i | \(0.0830323\pi\) | |||||||
\(44\) | −2.83699 | − | 1.71800i | −0.427692 | − | 0.258998i | ||||
\(45\) | −12.7476 | − | 22.0795i | −1.90030 | − | 3.29142i | ||||
\(46\) | 1.83513 | − | 3.17854i | 0.270575 | − | 0.468650i | ||||
\(47\) | 3.68045 | + | 1.33957i | 0.536848 | + | 0.195397i | 0.596194 | − | 0.802841i | \(-0.296679\pi\) |
−0.0593454 | + | 0.998238i | \(0.518901\pi\) | |||||||
\(48\) | −1.12600 | + | 3.09366i | −0.162524 | + | 0.446531i | ||||
\(49\) | 2.67743 | − | 4.63745i | 0.382490 | − | 0.662493i | ||||
\(50\) | −2.78947 | − | 4.83151i | −0.394491 | − | 0.683278i | ||||
\(51\) | 2.77386 | + | 15.7313i | 0.388417 | + | 2.20282i | ||||
\(52\) | −3.42853 | − | 2.87687i | −0.475451 | − | 0.398951i | ||||
\(53\) | 0.795178 | + | 0.947656i | 0.109226 | + | 0.130171i | 0.817888 | − | 0.575378i | \(-0.195145\pi\) |
−0.708661 | + | 0.705549i | \(0.750701\pi\) | |||||||
\(54\) | 15.6876 | + | 2.76615i | 2.13482 | + | 0.376426i | ||||
\(55\) | −3.90062 | + | 10.0575i | −0.525959 | + | 1.35615i | ||||
\(56\) | 3.51495i | 0.469705i | ||||||||
\(57\) | −2.50666 | − | 14.1298i | −0.332015 | − | 1.87153i | ||||
\(58\) | 0.822654 | 0.108020 | ||||||||
\(59\) | 2.71657 | + | 7.46371i | 0.353667 | + | 0.971692i | 0.981182 | + | 0.193087i | \(0.0618500\pi\) |
−0.627515 | + | 0.778605i | \(0.715928\pi\) | |||||||
\(60\) | 10.5453 | + | 1.85942i | 1.36139 | + | 0.240050i | ||||
\(61\) | −1.37415 | − | 1.63764i | −0.175941 | − | 0.209679i | 0.670866 | − | 0.741579i | \(-0.265923\pi\) |
−0.846807 | + | 0.531900i | \(0.821478\pi\) | |||||||
\(62\) | 4.51513 | − | 5.38092i | 0.573422 | − | 0.683378i | ||||
\(63\) | 27.1337 | − | 4.78440i | 3.41852 | − | 0.602778i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −7.27855 | + | 12.6068i | −0.902792 | + | 1.56368i | ||||
\(66\) | −5.26063 | − | 9.56820i | −0.647538 | − | 1.17776i | ||||
\(67\) | −2.24793 | + | 6.17614i | −0.274629 | + | 0.754536i | 0.723320 | + | 0.690513i | \(0.242615\pi\) |
−0.997948 | + | 0.0640228i | \(0.979607\pi\) | |||||||
\(68\) | −4.20202 | − | 2.42604i | −0.509569 | − | 0.294200i | ||||
\(69\) | 10.4644 | − | 6.04163i | 1.25977 | − | 0.727326i | ||||
\(70\) | 11.2588 | − | 1.98523i | 1.34568 | − | 0.237280i | ||||
\(71\) | −6.42680 | + | 7.65916i | −0.762721 | + | 0.908975i | −0.998017 | − | 0.0629485i | \(-0.979950\pi\) |
0.235296 | + | 0.971924i | \(0.424394\pi\) | |||||||
\(72\) | −6.00471 | + | 5.03855i | −0.707662 | + | 0.593799i | ||||
\(73\) | −2.79393 | − | 0.492645i | −0.327005 | − | 0.0576598i | 0.00773583 | − | 0.999970i | \(-0.497538\pi\) |
−0.334741 | + | 0.942310i | \(0.608649\pi\) | |||||||
\(74\) | 0.156512 | + | 0.430014i | 0.0181942 | + | 0.0499881i | ||||
\(75\) | − | 18.3670i | − | 2.12084i | ||||||
\(76\) | 3.77719 | + | 2.17551i | 0.433273 | + | 0.249548i | ||||
\(77\) | −8.77176 | − | 7.67852i | −0.999635 | − | 0.875049i | ||||
\(78\) | −5.03955 | − | 13.8460i | −0.570616 | − | 1.56776i | ||||
\(79\) | −0.646397 | + | 3.66590i | −0.0727253 | + | 0.412446i | 0.926611 | + | 0.376021i | \(0.122708\pi\) |
−0.999336 | + | 0.0364247i | \(0.988403\pi\) | |||||||
\(80\) | −2.49158 | + | 2.09069i | −0.278567 | + | 0.233746i | ||||
\(81\) | 22.1600 | + | 18.5944i | 2.46222 | + | 2.06605i | ||||
\(82\) | 0.954338 | + | 5.41232i | 0.105389 | + | 0.597691i | ||||
\(83\) | −6.89565 | + | 3.98121i | −0.756896 | + | 0.436994i | −0.828180 | − | 0.560462i | \(-0.810624\pi\) |
0.0712840 | + | 0.997456i | \(0.477290\pi\) | |||||||
\(84\) | −5.78596 | + | 10.0216i | −0.631300 | + | 1.09344i | ||||
\(85\) | −5.39759 | + | 14.8298i | −0.585451 | + | 1.60851i | ||||
\(86\) | −1.89952 | + | 5.21889i | −0.204830 | + | 0.562767i | ||||
\(87\) | 2.34550 | + | 1.35417i | 0.251464 | + | 0.145183i | ||||
\(88\) | 3.25348 | + | 0.644081i | 0.346823 | + | 0.0686592i | ||||
\(89\) | 0.164120 | − | 0.0289389i | 0.0173967 | − | 0.00306751i | −0.164943 | − | 0.986303i | \(-0.552744\pi\) |
0.182340 | + | 0.983236i | \(0.441633\pi\) | |||||||
\(90\) | 19.5305 | + | 16.3880i | 2.05870 | + | 1.72745i | ||||
\(91\) | −10.1121 | − | 12.0511i | −1.06003 | − | 1.26330i | ||||
\(92\) | −0.637335 | + | 3.61450i | −0.0664467 | + | 0.376838i | ||||
\(93\) | 21.7308 | − | 7.90935i | 2.25338 | − | 0.820161i | ||||
\(94\) | −3.91665 | −0.403971 | ||||||||
\(95\) | 4.83507 | − | 13.3275i | 0.496068 | − | 1.36737i | ||||
\(96\) | − | 3.29220i | − | 0.336009i | ||||||
\(97\) | −4.96306 | − | 13.6359i | −0.503922 | − | 1.38451i | −0.887415 | − | 0.460971i | \(-0.847501\pi\) |
0.383493 | − | 0.923544i | \(-0.374721\pi\) | |||||||
\(98\) | −0.929862 | + | 5.27351i | −0.0939303 | + | 0.532705i | ||||
\(99\) | 0.543482 | − | 25.9920i | 0.0546220 | − | 2.61229i | ||||
\(100\) | 4.27372 | + | 3.58608i | 0.427372 | + | 0.358608i | ||||
\(101\) | 15.0674 | − | 2.65679i | 1.49926 | − | 0.264360i | 0.637016 | − | 0.770851i | \(-0.280169\pi\) |
0.862246 | + | 0.506490i | \(0.169057\pi\) | |||||||
\(102\) | −7.98700 | − | 13.8339i | −0.790831 | − | 1.36976i | ||||
\(103\) | −1.79815 | − | 1.03816i | −0.177177 | − | 0.102293i | 0.408789 | − | 0.912629i | \(-0.365951\pi\) |
−0.585966 | + | 0.810336i | \(0.699285\pi\) | |||||||
\(104\) | 4.20571 | + | 1.53075i | 0.412404 | + | 0.150103i | ||||
\(105\) | 35.3682 | + | 12.8730i | 3.45158 | + | 1.25627i | ||||
\(106\) | −1.07134 | − | 0.618539i | −0.104058 | − | 0.0600778i | ||||
\(107\) | 2.14244 | + | 3.71082i | 0.207118 | + | 0.358738i | 0.950805 | − | 0.309789i | \(-0.100258\pi\) |
−0.743688 | + | 0.668527i | \(0.766925\pi\) | |||||||
\(108\) | −15.6876 | + | 2.76615i | −1.50954 | + | 0.266173i | ||||
\(109\) | 5.12069 | + | 4.29677i | 0.490473 | + | 0.411556i | 0.854196 | − | 0.519951i | \(-0.174050\pi\) |
−0.363722 | + | 0.931507i | \(0.618494\pi\) | |||||||
\(110\) | 0.225511 | − | 10.7851i | 0.0215017 | − | 1.02832i | ||||
\(111\) | −0.261610 | + | 1.48366i | −0.0248309 | + | 0.140823i | ||||
\(112\) | −1.20218 | − | 3.30297i | −0.113596 | − | 0.312101i | ||||
\(113\) | − | 0.557845i | − | 0.0524777i | −0.999656 | − | 0.0262388i | \(-0.991647\pi\) | ||
0.999656 | − | 0.0262388i | \(-0.00835304\pi\) | |||||||
\(114\) | 7.18815 | + | 12.4203i | 0.673232 | + | 1.16327i | ||||
\(115\) | 11.9376 | 1.11319 | ||||||||
\(116\) | −0.773042 | + | 0.281364i | −0.0717752 | + | 0.0261240i | ||||
\(117\) | 6.09203 | − | 34.5496i | 0.563208 | − | 3.19411i | ||||
\(118\) | −5.10547 | − | 6.08447i | −0.469997 | − | 0.560121i | ||||
\(119\) | −13.0647 | − | 10.9626i | −1.19764 | − | 1.00494i | ||||
\(120\) | −10.5453 | + | 1.85942i | −0.962650 | + | 0.169741i | ||||
\(121\) | −8.71468 | + | 6.71225i | −0.792244 | + | 0.610204i | ||||
\(122\) | 1.85138 | + | 1.06890i | 0.167616 | + | 0.0967733i | ||||
\(123\) | −6.18828 | + | 17.0022i | −0.557979 | + | 1.53303i | ||||
\(124\) | −2.40245 | + | 6.60068i | −0.215746 | + | 0.592758i | ||||
\(125\) | 0.941517 | − | 1.63076i | 0.0842119 | − | 0.145859i | ||||
\(126\) | −23.8610 | + | 13.7761i | −2.12570 | + | 1.22728i | ||||
\(127\) | −1.79490 | − | 10.1794i | −0.159271 | − | 0.903273i | −0.954776 | − | 0.297325i | \(-0.903905\pi\) |
0.795505 | − | 0.605947i | \(-0.207206\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | −14.0066 | + | 11.7529i | −1.23321 | + | 1.03479i | ||||
\(130\) | 2.52781 | − | 14.3359i | 0.221704 | − | 1.25734i | ||||
\(131\) | −3.99844 | − | 10.9856i | −0.349345 | − | 0.959817i | −0.982577 | − | 0.185856i | \(-0.940494\pi\) |
0.633232 | − | 0.773962i | \(-0.281728\pi\) | |||||||
\(132\) | 8.21589 | + | 7.19192i | 0.715101 | + | 0.625977i | ||||
\(133\) | 11.7471 | + | 9.83610i | 1.01860 | + | 0.852898i | ||||
\(134\) | − | 6.57251i | − | 0.567779i | ||||||
\(135\) | 17.7206 | + | 48.6870i | 1.52515 | + | 4.19031i | ||||
\(136\) | 4.77836 | + | 0.842553i | 0.409741 | + | 0.0722483i | ||||
\(137\) | −4.88367 | + | 4.09788i | −0.417240 | + | 0.350106i | −0.827112 | − | 0.562037i | \(-0.810018\pi\) |
0.409872 | + | 0.912143i | \(0.365573\pi\) | |||||||
\(138\) | −7.76697 | + | 9.25631i | −0.661168 | + | 0.787949i | ||||
\(139\) | −17.7850 | + | 3.13598i | −1.50851 | + | 0.265990i | −0.865904 | − | 0.500210i | \(-0.833256\pi\) |
−0.642601 | + | 0.766201i | \(0.722145\pi\) | |||||||
\(140\) | −9.90081 | + | 5.71624i | −0.836771 | + | 0.483110i | ||||
\(141\) | −11.1669 | − | 6.44720i | −0.940421 | − | 0.542952i | ||||
\(142\) | 3.41963 | − | 9.39535i | 0.286969 | − | 0.788441i | ||||
\(143\) | −13.0076 | + | 7.15162i | −1.08775 | + | 0.598048i | ||||
\(144\) | 3.91930 | − | 6.78842i | 0.326608 | − | 0.565702i | ||||
\(145\) | 1.33785 | + | 2.31723i | 0.111103 | + | 0.192436i | ||||
\(146\) | 2.79393 | − | 0.492645i | 0.231227 | − | 0.0407716i | ||||
\(147\) | −11.3319 | + | 13.5048i | −0.934639 | + | 1.11386i | ||||
\(148\) | −0.294147 | − | 0.350551i | −0.0241787 | − | 0.0288151i | ||||
\(149\) | −6.66692 | − | 1.17556i | −0.546176 | − | 0.0963055i | −0.106250 | − | 0.994339i | \(-0.533884\pi\) |
−0.439926 | + | 0.898034i | \(0.644995\pi\) | |||||||
\(150\) | 6.28189 | + | 17.2593i | 0.512914 | + | 1.40922i | ||||
\(151\) | 23.3289 | 1.89848 | 0.949240 | − | 0.314554i | \(-0.101855\pi\) | ||||
0.949240 | + | 0.314554i | \(0.101855\pi\) | |||||||
\(152\) | −4.29346 | − | 0.752437i | −0.348246 | − | 0.0610307i | ||||
\(153\) | − | 38.0334i | − | 3.07482i | ||||||
\(154\) | 10.8690 | + | 4.21533i | 0.875847 | + | 0.339681i | ||||
\(155\) | 22.4996 | + | 3.96729i | 1.80721 | + | 0.318660i | ||||
\(156\) | 9.47125 | + | 11.2874i | 0.758307 | + | 0.903715i | ||||
\(157\) | −9.77262 | − | 8.20020i | −0.779940 | − | 0.654447i | 0.163293 | − | 0.986578i | \(-0.447788\pi\) |
−0.943234 | + | 0.332130i | \(0.892233\pi\) | |||||||
\(158\) | −0.646397 | − | 3.66590i | −0.0514246 | − | 0.291643i | ||||
\(159\) | −2.03635 | − | 3.52707i | −0.161493 | − | 0.279715i | ||||
\(160\) | 1.62626 | − | 2.81677i | 0.128567 | − | 0.222685i | ||||
\(161\) | −4.41233 | + | 12.1228i | −0.347740 | + | 0.955409i | ||||
\(162\) | −27.1832 | − | 9.89389i | −2.13572 | − | 0.777337i | ||||
\(163\) | −6.19564 | + | 10.7312i | −0.485280 | + | 0.840530i | −0.999857 | − | 0.0169144i | \(-0.994616\pi\) |
0.514577 | + | 0.857444i | \(0.327949\pi\) | |||||||
\(164\) | −2.74791 | − | 4.75951i | −0.214576 | − | 0.371656i | ||||
\(165\) | 18.3963 | − | 30.3784i | 1.43215 | − | 2.36496i | ||||
\(166\) | 5.11814 | − | 6.09956i | 0.397245 | − | 0.473418i | ||||
\(167\) | 11.1664 | − | 9.36972i | 0.864082 | − | 0.725051i | −0.0987613 | − | 0.995111i | \(-0.531488\pi\) |
0.962843 | + | 0.270060i | \(0.0870436\pi\) | |||||||
\(168\) | 2.00944 | − | 11.3961i | 0.155032 | − | 0.879230i | ||||
\(169\) | −6.60716 | + | 2.40481i | −0.508243 | + | 0.184985i | ||||
\(170\) | − | 15.7815i | − | 1.21039i | ||||||
\(171\) | 0.0356421 | + | 34.1676i | 0.00272562 | + | 2.61286i | ||||
\(172\) | − | 5.55382i | − | 0.423475i | ||||||
\(173\) | −3.06221 | + | 1.11455i | −0.232815 | + | 0.0847378i | −0.455793 | − | 0.890086i | \(-0.650644\pi\) |
0.222978 | + | 0.974823i | \(0.428422\pi\) | |||||||
\(174\) | −2.66720 | − | 0.470299i | −0.202200 | − | 0.0356533i | ||||
\(175\) | 12.6049 | + | 15.0219i | 0.952839 | + | 1.13555i | ||||
\(176\) | −3.27756 | + | 0.507519i | −0.247056 | + | 0.0382557i | ||||
\(177\) | −4.54073 | − | 25.7517i | −0.341302 | − | 1.93562i | ||||
\(178\) | −0.144325 | + | 0.0833262i | −0.0108176 | + | 0.00624556i | ||||
\(179\) | −14.2959 | − | 8.25375i | −1.06853 | − | 0.616914i | −0.140748 | − | 0.990045i | \(-0.544951\pi\) |
−0.927778 | + | 0.373132i | \(0.878284\pi\) | |||||||
\(180\) | −23.9577 | − | 8.71989i | −1.78570 | − | 0.649942i | ||||
\(181\) | −1.53732 | + | 4.22374i | −0.114268 | + | 0.313948i | −0.983623 | − | 0.180240i | \(-0.942313\pi\) |
0.869355 | + | 0.494188i | \(0.164535\pi\) | |||||||
\(182\) | 13.6239 | + | 7.86579i | 1.00987 | + | 0.583051i | ||||
\(183\) | 3.51902 | + | 6.09513i | 0.260134 | + | 0.450565i | ||||
\(184\) | −0.637335 | − | 3.61450i | −0.0469849 | − | 0.266465i | ||||
\(185\) | −0.956722 | + | 1.14018i | −0.0703396 | + | 0.0838274i | ||||
\(186\) | −17.7151 | + | 14.8647i | −1.29893 | + | 1.08993i | ||||
\(187\) | −12.5411 | + | 10.0841i | −0.917097 | + | 0.737422i | ||||
\(188\) | 3.68045 | − | 1.33957i | 0.268424 | − | 0.0976984i | ||||
\(189\) | −55.9918 | −4.07281 | ||||||||
\(190\) | 0.0147893 | + | 14.1774i | 0.00107293 | + | 1.02854i | ||||
\(191\) | 18.2790 | 1.32262 | 0.661310 | − | 0.750113i | \(-0.270001\pi\) | ||||
0.661310 | + | 0.750113i | \(0.270001\pi\) | |||||||
\(192\) | 1.12600 | + | 3.09366i | 0.0812620 | + | 0.223266i | ||||
\(193\) | 2.70281 | − | 15.3284i | 0.194552 | − | 1.10336i | −0.718502 | − | 0.695525i | \(-0.755172\pi\) |
0.913055 | − | 0.407837i | \(-0.133717\pi\) | |||||||
\(194\) | 9.32750 | + | 11.1161i | 0.669675 | + | 0.798088i | ||||
\(195\) | 30.8055 | − | 36.7126i | 2.20603 | − | 2.62904i | ||||
\(196\) | −0.929862 | − | 5.27351i | −0.0664187 | − | 0.376679i | ||||
\(197\) | 3.94211 | − | 2.27598i | 0.280864 | − | 0.162157i | −0.352951 | − | 0.935642i | \(-0.614822\pi\) |
0.633814 | + | 0.773485i | \(0.281488\pi\) | |||||||
\(198\) | 8.37908 | + | 24.6104i | 0.595475 | + | 1.74898i | ||||
\(199\) | −7.56876 | − | 2.75480i | −0.536535 | − | 0.195283i | 0.0595190 | − | 0.998227i | \(-0.481043\pi\) |
−0.596054 | + | 0.802944i | \(0.703266\pi\) | |||||||
\(200\) | −5.24249 | − | 1.90811i | −0.370700 | − | 0.134924i | ||||
\(201\) | 10.8190 | − | 18.7391i | 0.763115 | − | 1.32175i | ||||
\(202\) | −13.2500 | + | 7.64991i | −0.932270 | + | 0.538246i | ||||
\(203\) | −2.84766 | + | 0.502119i | −0.199866 | + | 0.0352418i | ||||
\(204\) | 12.2368 | + | 10.2679i | 0.856747 | + | 0.718896i | ||||
\(205\) | −13.6933 | + | 11.4900i | −0.956380 | + | 0.802498i | ||||
\(206\) | 2.04478 | + | 0.360550i | 0.142466 | + | 0.0251207i | ||||
\(207\) | −27.0347 | + | 9.83982i | −1.87904 | + | 0.683915i | ||||
\(208\) | −4.47562 | −0.310329 | ||||||||
\(209\) | 11.2570 | − | 9.07088i | 0.778660 | − | 0.627446i | ||||
\(210\) | −37.6380 | −2.59727 | ||||||||
\(211\) | 4.52047 | − | 1.64532i | 0.311202 | − | 0.113268i | −0.181698 | − | 0.983354i | \(-0.558159\pi\) |
0.492900 | + | 0.870086i | \(0.335937\pi\) | |||||||
\(212\) | 1.21828 | + | 0.214816i | 0.0836721 | + | 0.0147536i | ||||
\(213\) | 25.2155 | − | 21.1583i | 1.72774 | − | 1.44974i | ||||
\(214\) | −3.28241 | − | 2.75427i | −0.224381 | − | 0.188278i | ||||
\(215\) | −17.7895 | + | 3.13678i | −1.21324 | + | 0.213926i | ||||
\(216\) | 13.7955 | − | 7.96482i | 0.938663 | − | 0.541937i | ||||
\(217\) | −12.3450 | + | 21.3822i | −0.838034 | + | 1.45152i | ||||
\(218\) | −6.28146 | − | 2.28626i | −0.425434 | − | 0.154845i | ||||
\(219\) | 8.77680 | + | 3.19450i | 0.593081 | + | 0.215864i | ||||
\(220\) | 3.47680 | + | 10.2118i | 0.234406 | + | 0.688477i | ||||
\(221\) | −18.8066 | + | 10.8580i | −1.26507 | + | 0.730389i | ||||
\(222\) | −0.261610 | − | 1.48366i | −0.0175581 | − | 0.0995768i | ||||
\(223\) | 13.0818 | − | 15.5903i | 0.876022 | − | 1.04400i | −0.122648 | − | 0.992450i | \(-0.539139\pi\) |
0.998670 | − | 0.0515523i | \(-0.0164169\pi\) | |||||||
\(224\) | 2.25937 | + | 2.69261i | 0.150960 | + | 0.179907i | ||||
\(225\) | −7.59382 | + | 43.0667i | −0.506255 | + | 2.87111i | ||||
\(226\) | 0.190794 | + | 0.524203i | 0.0126915 | + | 0.0348695i | ||||
\(227\) | −0.498408 | −0.0330805 | −0.0165403 | − | 0.999863i | \(-0.505265\pi\) | ||||
−0.0165403 | + | 0.999863i | \(0.505265\pi\) | |||||||
\(228\) | −11.0026 | − | 9.21277i | −0.728668 | − | 0.610131i | ||||
\(229\) | 12.3981 | 0.819292 | 0.409646 | − | 0.912245i | \(-0.365652\pi\) | ||||
0.409646 | + | 0.912245i | \(0.365652\pi\) | |||||||
\(230\) | −11.2177 | + | 4.08291i | −0.739674 | + | 0.269219i | ||||
\(231\) | 24.0500 | + | 29.9099i | 1.58237 | + | 1.96793i | ||||
\(232\) | 0.630190 | − | 0.528792i | 0.0413740 | − | 0.0347169i | ||||
\(233\) | −10.9766 | + | 13.0815i | −0.719104 | + | 0.856995i | −0.994543 | − | 0.104324i | \(-0.966732\pi\) |
0.275439 | + | 0.961318i | \(0.411177\pi\) | |||||||
\(234\) | 6.09203 | + | 34.5496i | 0.398248 | + | 2.25858i | ||||
\(235\) | −6.36951 | − | 11.0323i | −0.415501 | − | 0.719668i | ||||
\(236\) | 6.87859 | + | 3.97135i | 0.447758 | + | 0.258513i | ||||
\(237\) | 4.19148 | − | 11.5160i | 0.272266 | − | 0.748044i | ||||
\(238\) | 16.0262 | + | 5.83308i | 1.03883 | + | 0.378102i | ||||
\(239\) | −5.33949 | − | 3.08275i | −0.345383 | − | 0.199407i | 0.317267 | − | 0.948336i | \(-0.397235\pi\) |
−0.662650 | + | 0.748929i | \(0.730568\pi\) | |||||||
\(240\) | 9.27339 | − | 5.35399i | 0.598594 | − | 0.345599i | ||||
\(241\) | −2.26900 | − | 12.8681i | −0.146159 | − | 0.828909i | −0.966429 | − | 0.256933i | \(-0.917288\pi\) |
0.820270 | − | 0.571976i | \(-0.193823\pi\) | |||||||
\(242\) | 5.89340 | − | 9.28805i | 0.378842 | − | 0.597058i | ||||
\(243\) | −30.4985 | − | 36.3467i | −1.95648 | − | 2.33164i | ||||
\(244\) | −2.10531 | − | 0.371224i | −0.134779 | − | 0.0237652i | ||||
\(245\) | −16.3665 | + | 5.95691i | −1.04562 | + | 0.380573i | ||||
\(246\) | − | 18.0933i | − | 1.15359i | ||||||
\(247\) | 16.8849 | − | 9.77201i | 1.07436 | − | 0.621778i | ||||
\(248\) | − | 7.02429i | − | 0.446043i | ||||||
\(249\) | 24.6330 | − | 8.96568i | 1.56105 | − | 0.568177i | ||||
\(250\) | −0.326986 | + | 1.85443i | −0.0206804 | + | 0.117284i | ||||
\(251\) | 18.9645 | − | 15.9131i | 1.19703 | − | 1.00443i | 0.197318 | − | 0.980340i | \(-0.436777\pi\) |
0.999710 | − | 0.0240859i | \(-0.00766751\pi\) | |||||||
\(252\) | 17.7103 | − | 21.1063i | 1.11564 | − | 1.32957i | ||||
\(253\) | 10.4125 | + | 6.30550i | 0.654628 | + | 0.396423i | ||||
\(254\) | 5.16820 | + | 8.95158i | 0.324282 | + | 0.561672i | ||||
\(255\) | 25.9779 | − | 44.9951i | 1.62680 | − | 2.81770i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −9.41992 | + | 25.8810i | −0.587599 | + | 1.61441i | 0.187282 | + | 0.982306i | \(0.440032\pi\) |
−0.774881 | + | 0.632108i | \(0.782190\pi\) | |||||||
\(258\) | 9.14216 | − | 15.8347i | 0.569166 | − | 0.985824i | ||||
\(259\) | −0.804240 | − | 1.39299i | −0.0499731 | − | 0.0865559i | ||||
\(260\) | 2.52781 | + | 14.3359i | 0.156768 | + | 0.889077i | ||||
\(261\) | −4.93980 | − | 4.14499i | −0.305766 | − | 0.256568i | ||||
\(262\) | 7.51460 | + | 8.95555i | 0.464254 | + | 0.553276i | ||||
\(263\) | −7.41931 | − | 1.30822i | −0.457494 | − | 0.0806686i | −0.0598483 | − | 0.998207i | \(-0.519062\pi\) |
−0.397646 | + | 0.917539i | \(0.630173\pi\) | |||||||
\(264\) | −10.1802 | − | 3.94820i | −0.626547 | − | 0.242995i | ||||
\(265\) | − | 4.02363i | − | 0.247170i | ||||||
\(266\) | −14.4028 | − | 5.22517i | −0.883091 | − | 0.320376i | ||||
\(267\) | −0.548653 | −0.0335770 | ||||||||
\(268\) | 2.24793 | + | 6.17614i | 0.137314 | + | 0.377268i | ||||
\(269\) | −17.0100 | − | 2.99931i | −1.03712 | − | 0.182871i | −0.370933 | − | 0.928660i | \(-0.620962\pi\) |
−0.666183 | + | 0.745788i | \(0.732073\pi\) | |||||||
\(270\) | −33.3039 | − | 39.6900i | −2.02681 | − | 2.41546i | ||||
\(271\) | −7.84890 | + | 9.35395i | −0.476787 | + | 0.568212i | −0.949806 | − | 0.312840i | \(-0.898720\pi\) |
0.473019 | + | 0.881052i | \(0.343164\pi\) | |||||||
\(272\) | −4.77836 | + | 0.842553i | −0.289730 | + | 0.0510873i | ||||
\(273\) | 25.8958 | + | 44.8528i | 1.56728 | + | 2.71461i | ||||
\(274\) | 3.18759 | − | 5.52106i | 0.192569 | − | 0.333540i | ||||
\(275\) | 16.2142 | − | 8.91462i | 0.977753 | − | 0.537572i | ||||
\(276\) | 4.13272 | − | 11.3545i | 0.248760 | − | 0.683463i | ||||
\(277\) | 20.8666 | + | 12.0473i | 1.25375 | + | 0.723853i | 0.971852 | − | 0.235591i | \(-0.0757025\pi\) |
0.281899 | + | 0.959444i | \(0.409036\pi\) | |||||||
\(278\) | 15.6399 | − | 9.02969i | 0.938018 | − | 0.541565i | ||||
\(279\) | −54.2241 | + | 9.56117i | −3.24631 | + | 0.572412i | ||||
\(280\) | 7.34865 | − | 8.75778i | 0.439166 | − | 0.523378i | ||||
\(281\) | 17.4051 | − | 14.6046i | 1.03830 | − | 0.871236i | 0.0464837 | − | 0.998919i | \(-0.485198\pi\) |
0.991815 | + | 0.127683i | \(0.0407540\pi\) | |||||||
\(282\) | 12.6985 | + | 2.23909i | 0.756185 | + | 0.133336i | ||||
\(283\) | 8.63619 | + | 23.7277i | 0.513368 | + | 1.41047i | 0.877705 | + | 0.479201i | \(0.159073\pi\) |
−0.364337 | + | 0.931267i | \(0.618704\pi\) | |||||||
\(284\) | 9.99833i | 0.593291i | ||||||||
\(285\) | −23.2953 | + | 40.4461i | −1.37990 | + | 2.39582i | ||||
\(286\) | 9.77714 | − | 11.1692i | 0.578135 | − | 0.660448i | ||||
\(287\) | −6.60698 | − | 18.1525i | −0.389997 | − | 1.07151i | ||||
\(288\) | −1.36116 | + | 7.71951i | −0.0802070 | + | 0.454876i | ||||
\(289\) | −5.01191 | + | 4.20549i | −0.294818 | + | 0.247382i | ||||
\(290\) | −2.04971 | − | 1.71991i | −0.120363 | − | 0.100997i | ||||
\(291\) | 8.29572 | + | 47.0474i | 0.486304 | + | 2.75797i | ||||
\(292\) | −2.45694 | + | 1.41852i | −0.143782 | + | 0.0830123i | ||||
\(293\) | −9.72207 | + | 16.8391i | −0.567969 | + | 0.983752i | 0.428797 | + | 0.903401i | \(0.358937\pi\) |
−0.996767 | + | 0.0803511i | \(0.974396\pi\) | |||||||
\(294\) | 6.02957 | − | 16.5661i | 0.351652 | − | 0.966156i | ||||
\(295\) | 8.83571 | − | 24.2759i | 0.514435 | − | 1.41340i | ||||
\(296\) | 0.396303 | + | 0.228806i | 0.0230347 | + | 0.0132991i | ||||
\(297\) | −10.2600 | + | 51.8268i | −0.595344 | + | 3.00730i | ||||
\(298\) | 6.66692 | − | 1.17556i | 0.386204 | − | 0.0680983i | ||||
\(299\) | 12.5836 | + | 10.5589i | 0.727728 | + | 0.610636i | ||||
\(300\) | −11.8061 | − | 14.0699i | −0.681625 | − | 0.812329i | ||||
\(301\) | 3.38986 | − | 19.2248i | 0.195388 | − | 1.10810i | ||||
\(302\) | −21.9220 | + | 7.97895i | −1.26147 | + | 0.459137i | ||||
\(303\) | −50.3701 | −2.89369 | ||||||||
\(304\) | 4.29189 | − | 0.761392i | 0.246157 | − | 0.0436688i | ||||
\(305\) | 6.95323i | 0.398141i | ||||||||
\(306\) | 13.0082 | + | 35.7397i | 0.743629 | + | 2.04310i | ||||
\(307\) | 2.21174 | − | 12.5434i | 0.126231 | − | 0.715889i | −0.854339 | − | 0.519716i | \(-0.826038\pi\) |
0.980569 | − | 0.196173i | \(-0.0628513\pi\) | |||||||
\(308\) | −11.6552 | − | 0.243706i | −0.664118 | − | 0.0138864i | ||||
\(309\) | 5.23643 | + | 4.39388i | 0.297890 | + | 0.249959i | ||||
\(310\) | −22.4996 | + | 3.96729i | −1.27789 | + | 0.225327i | ||||
\(311\) | 7.30151 | + | 12.6466i | 0.414030 | + | 0.717122i | 0.995326 | − | 0.0965707i | \(-0.0307874\pi\) |
−0.581296 | + | 0.813692i | \(0.697454\pi\) | |||||||
\(312\) | −12.7606 | − | 7.36733i | −0.722426 | − | 0.417093i | ||||
\(313\) | −3.91322 | − | 1.42430i | −0.221188 | − | 0.0805059i | 0.229049 | − | 0.973415i | \(-0.426438\pi\) |
−0.450237 | + | 0.892909i | \(0.648661\pi\) | |||||||
\(314\) | 11.9879 | + | 4.36324i | 0.676516 | + | 0.246232i | ||||
\(315\) | −77.6085 | − | 44.8073i | −4.37274 | − | 2.52460i | ||||
\(316\) | 1.86123 | + | 3.22374i | 0.104702 | + | 0.181349i | ||||
\(317\) | −10.3025 | + | 1.81662i | −0.578648 | + | 0.102031i | −0.455309 | − | 0.890333i | \(-0.650471\pi\) |
−0.123339 | + | 0.992365i | \(0.539360\pi\) | |||||||
\(318\) | 3.11988 | + | 2.61789i | 0.174954 | + | 0.146804i | ||||
\(319\) | −0.0570380 | + | 2.72784i | −0.00319352 | + | 0.152730i | ||||
\(320\) | −0.564796 | + | 3.20312i | −0.0315730 | + | 0.179060i | ||||
\(321\) | −4.82478 | − | 13.2560i | −0.269293 | − | 0.739876i | ||||
\(322\) | − | 12.9008i | − | 0.718933i | ||||||
\(323\) | 16.1874 | − | 13.6116i | 0.900691 | − | 0.757372i | ||||
\(324\) | 28.9278 | 1.60710 | ||||||||
\(325\) | 23.4634 | − | 8.53999i | 1.30152 | − | 0.473713i | ||||
\(326\) | 2.15172 | − | 12.2030i | 0.119173 | − | 0.675864i | ||||
\(327\) | −14.1458 | − | 16.8584i | −0.782267 | − | 0.932269i | ||||
\(328\) | 4.21004 | + | 3.53264i | 0.232460 | + | 0.195057i | ||||
\(329\) | 13.5577 | − | 2.39058i | 0.747458 | − | 0.131797i | ||||
\(330\) | −6.89681 | + | 34.8383i | −0.379657 | + | 1.91778i | ||||
\(331\) | −14.9079 | − | 8.60708i | −0.819412 | − | 0.473088i | 0.0308017 | − | 0.999526i | \(-0.490194\pi\) |
−0.850214 | + | 0.526438i | \(0.823527\pi\) | |||||||
\(332\) | −2.72331 | + | 7.48222i | −0.149461 | + | 0.410640i | ||||
\(333\) | 1.22684 | − | 3.37071i | 0.0672302 | − | 0.184714i | ||||
\(334\) | −7.28835 | + | 12.6238i | −0.398801 | + | 0.690743i | ||||
\(335\) | 18.5133 | − | 10.6886i | 1.01149 | − | 0.583983i | ||||
\(336\) | 2.00944 | + | 11.3961i | 0.109624 | + | 0.621709i | ||||
\(337\) | −17.3294 | − | 14.5411i | −0.943992 | − | 0.792104i | 0.0342832 | − | 0.999412i | \(-0.489085\pi\) |
−0.978276 | + | 0.207309i | \(0.933530\pi\) | |||||||
\(338\) | 5.38621 | − | 4.51956i | 0.292971 | − | 0.245832i | ||||
\(339\) | −0.318912 | + | 1.80864i | −0.0173209 | + | 0.0982318i | ||||
\(340\) | 5.39759 | + | 14.8298i | 0.292725 | + | 0.804257i | ||||
\(341\) | 17.5295 | + | 15.3448i | 0.949278 | + | 0.830967i | ||||
\(342\) | −11.7195 | − | 32.0949i | −0.633718 | − | 1.73549i | ||||
\(343\) | 5.78257i | 0.312229i | ||||||||
\(344\) | 1.89952 | + | 5.21889i | 0.102415 | + | 0.281384i | ||||
\(345\) | −38.7041 | − | 6.82457i | −2.08376 | − | 0.367422i | ||||
\(346\) | 2.49633 | − | 2.09467i | 0.134204 | − | 0.112610i | ||||
\(347\) | −8.36054 | + | 9.96370i | −0.448817 | + | 0.534880i | −0.942253 | − | 0.334903i | \(-0.891297\pi\) |
0.493435 | + | 0.869782i | \(0.335741\pi\) | |||||||
\(348\) | 2.66720 | − | 0.470299i | 0.142977 | − | 0.0252107i | ||||
\(349\) | 21.1025 | − | 12.1836i | 1.12959 | − | 0.652171i | 0.185760 | − | 0.982595i | \(-0.440525\pi\) |
0.943832 | + | 0.330424i | \(0.107192\pi\) | |||||||
\(350\) | −16.9825 | − | 9.80485i | −0.907753 | − | 0.524091i | ||||
\(351\) | −24.3843 | + | 66.9954i | −1.30154 | + | 3.57595i | ||||
\(352\) | 2.90632 | − | 1.59790i | 0.154907 | − | 0.0851686i | ||||
\(353\) | −0.376492 | + | 0.652102i | −0.0200386 | + | 0.0347079i | −0.875871 | − | 0.482546i | \(-0.839712\pi\) |
0.855832 | + | 0.517254i | \(0.173046\pi\) | |||||||
\(354\) | 13.0745 | + | 22.6457i | 0.694902 | + | 1.20361i | ||||
\(355\) | 32.0258 | − | 5.64701i | 1.69975 | − | 0.299712i | ||||
\(356\) | 0.107122 | − | 0.127663i | 0.00567746 | − | 0.00676613i | ||||
\(357\) | 36.0911 | + | 43.0117i | 1.91014 | + | 2.27642i | ||||
\(358\) | 16.2567 | + | 2.86650i | 0.859194 | + | 0.151499i | ||||
\(359\) | −10.2840 | − | 28.2552i | −0.542771 | − | 1.49125i | −0.843281 | − | 0.537473i | \(-0.819379\pi\) |
0.300510 | − | 0.953779i | \(-0.402843\pi\) | |||||||
\(360\) | 25.4953 | 1.34372 | ||||||||
\(361\) | −14.5293 | + | 12.2433i | −0.764702 | + | 0.644384i | ||||
\(362\) | − | 4.49481i | − | 0.236242i | ||||||
\(363\) | 32.0919 | − | 16.7803i | 1.68439 | − | 0.880738i | ||||
\(364\) | −15.4926 | − | 2.73176i | −0.812032 | − | 0.143183i | ||||
\(365\) | 5.93134 | + | 7.06869i | 0.310460 | + | 0.369992i | ||||
\(366\) | −5.39146 | − | 4.52397i | −0.281816 | − | 0.236472i | ||||
\(367\) | −3.64926 | − | 20.6960i | −0.190490 | − | 1.08032i | −0.918697 | − | 0.394964i | \(-0.870757\pi\) |
0.728207 | − | 0.685358i | \(-0.240354\pi\) | |||||||
\(368\) | 1.83513 | + | 3.17854i | 0.0956629 | + | 0.165693i | ||||
\(369\) | 21.5397 | − | 37.3079i | 1.12131 | − | 1.94217i | ||||
\(370\) | 0.509061 | − | 1.39863i | 0.0264648 | − | 0.0727115i | ||||
\(371\) | 4.08603 | + | 1.48719i | 0.212136 | + | 0.0772113i | ||||
\(372\) | 11.5627 | − | 20.0272i | 0.599498 | − | 1.03836i | ||||
\(373\) | −3.93628 | − | 6.81784i | −0.203813 | − | 0.353014i | 0.745941 | − | 0.666012i | \(-0.232000\pi\) |
−0.949754 | + | 0.312998i | \(0.898667\pi\) | |||||||
\(374\) | 8.33583 | − | 13.7653i | 0.431036 | − | 0.711785i | ||||
\(375\) | −3.98485 | + | 4.74896i | −0.205777 | + | 0.245235i | ||||
\(376\) | −3.00033 | + | 2.51757i | −0.154730 | + | 0.129834i | ||||
\(377\) | −0.639354 | + | 3.62595i | −0.0329284 | + | 0.186746i | ||||
\(378\) | 52.6151 | − | 19.1503i | 2.70623 | − | 0.984987i | ||||
\(379\) | − | 19.5962i | − | 1.00659i | −0.864115 | − | 0.503294i | \(-0.832121\pi\) | ||
0.864115 | − | 0.503294i | \(-0.167879\pi\) | |||||||
\(380\) | −4.86287 | − | 13.3174i | −0.249460 | − | 0.683167i | ||||
\(381\) | 34.0295i | 1.74339i | ||||||||
\(382\) | −17.1766 | + | 6.25177i | −0.878832 | + | 0.319869i | ||||
\(383\) | −1.88152 | − | 0.331764i | −0.0961414 | − | 0.0169523i | 0.125370 | − | 0.992110i | \(-0.459988\pi\) |
−0.221512 | + | 0.975158i | \(0.571099\pi\) | |||||||
\(384\) | −2.11619 | − | 2.52197i | −0.107991 | − | 0.128699i | ||||
\(385\) | 5.80220 | + | 37.4707i | 0.295707 | + | 1.90968i | ||||
\(386\) | 2.70281 | + | 15.3284i | 0.137569 | + | 0.780195i | ||||
\(387\) | 37.7017 | − | 21.7671i | 1.91649 | − | 1.10648i | ||||
\(388\) | −12.5669 | − | 7.25550i | −0.637988 | − | 0.368342i | ||||
\(389\) | 27.4666 | + | 9.99702i | 1.39261 | + | 0.506869i | 0.925977 | − | 0.377581i | \(-0.123244\pi\) |
0.466635 | + | 0.884450i | \(0.345466\pi\) | |||||||
\(390\) | −16.3913 | + | 45.0347i | −0.830005 | + | 2.28042i | ||||
\(391\) | 15.4225 | + | 8.90419i | 0.779950 | + | 0.450304i | ||||
\(392\) | 2.67743 | + | 4.63745i | 0.135231 | + | 0.234227i | ||||
\(393\) | 6.68337 | + | 37.9032i | 0.337131 | + | 1.91197i | ||||
\(394\) | −2.92594 | + | 3.48700i | −0.147407 | + | 0.175673i | ||||
\(395\) | 9.27479 | − | 7.78247i | 0.466665 | − | 0.391579i | ||||
\(396\) | −16.2910 | − | 20.2604i | −0.818654 | − | 1.01812i | ||||
\(397\) | 6.98132 | − | 2.54099i | 0.350382 | − | 0.127529i | −0.160832 | − | 0.986982i | \(-0.551418\pi\) |
0.511215 | + | 0.859453i | \(0.329196\pi\) | |||||||
\(398\) | 8.05450 | 0.403736 | ||||||||
\(399\) | −32.4630 | − | 38.6061i | −1.62518 | − | 1.93272i | ||||
\(400\) | 5.57894 | 0.278947 | ||||||||
\(401\) | −5.35803 | − | 14.7211i | −0.267567 | − | 0.735135i | −0.998605 | − | 0.0527981i | \(-0.983186\pi\) |
0.731038 | − | 0.682337i | \(-0.239036\pi\) | |||||||
\(402\) | −3.75741 | + | 21.3093i | −0.187402 | + | 1.06281i | ||||
\(403\) | 20.2080 | + | 24.0830i | 1.00663 | + | 1.19966i | ||||
\(404\) | 9.83454 | − | 11.7203i | 0.489287 | − | 0.583109i | ||||
\(405\) | −16.3383 | − | 92.6591i | −0.811856 | − | 4.60427i | ||||
\(406\) | 2.50419 | − | 1.44579i | 0.124281 | − | 0.0717536i | ||||
\(407\) | −1.43674 | + | 0.489165i | −0.0712163 | + | 0.0242470i | ||||
\(408\) | −15.0106 | − | 5.46343i | −0.743138 | − | 0.270480i | ||||
\(409\) | −3.26449 | − | 1.18818i | −0.161419 | − | 0.0587516i | 0.260047 | − | 0.965596i | \(-0.416262\pi\) |
−0.421466 | + | 0.906844i | \(0.638484\pi\) | |||||||
\(410\) | 8.93765 | − | 15.4805i | 0.441399 | − | 0.764525i | ||||
\(411\) | 18.1765 | − | 10.4942i | 0.896579 | − | 0.517640i | ||||
\(412\) | −2.04478 | + | 0.360550i | −0.100739 | + | 0.0177630i | ||||
\(413\) | 21.3866 | + | 17.9455i | 1.05237 | + | 0.883039i | ||||
\(414\) | 22.0389 | − | 18.4928i | 1.08315 | − | 0.908872i | ||||
\(415\) | 25.5045 | + | 4.49714i | 1.25197 | + | 0.220756i | ||||
\(416\) | 4.20571 | − | 1.53075i | 0.206202 | − | 0.0750513i | ||||
\(417\) | 59.4551 | 2.91153 | ||||||||
\(418\) | −7.47566 | + | 12.3739i | −0.365647 | + | 0.605229i | ||||
\(419\) | 26.1361 | 1.27683 | 0.638415 | − | 0.769692i | \(-0.279590\pi\) | ||||
0.638415 | + | 0.769692i | \(0.279590\pi\) | |||||||
\(420\) | 35.3682 | − | 12.8730i | 1.72579 | − | 0.628136i | ||||
\(421\) | −36.8997 | − | 6.50642i | −1.79838 | − | 0.317104i | −0.828375 | − | 0.560174i | \(-0.810734\pi\) |
−0.970009 | + | 0.243071i | \(0.921845\pi\) | |||||||
\(422\) | −3.68512 | + | 3.09218i | −0.179389 | + | 0.150525i | ||||
\(423\) | 23.5183 | + | 19.7342i | 1.14350 | + | 0.959511i | ||||
\(424\) | −1.21828 | + | 0.214816i | −0.0591651 | + | 0.0104324i | ||||
\(425\) | 23.4428 | − | 13.5347i | 1.13714 | − | 0.656530i | ||||
\(426\) | −16.4583 | + | 28.5065i | −0.797405 | + | 1.38115i | ||||
\(427\) | −7.06107 | − | 2.57002i | −0.341709 | − | 0.124372i | ||||
\(428\) | 4.02647 | + | 1.46552i | 0.194627 | + | 0.0708384i | ||||
\(429\) | 46.2615 | − | 15.7506i | 2.23353 | − | 0.760448i | ||||
\(430\) | 15.6439 | − | 9.03199i | 0.754414 | − | 0.435561i | ||||
\(431\) | −3.99357 | − | 22.6487i | −0.192364 | − | 1.09095i | −0.916123 | − | 0.400897i | \(-0.868699\pi\) |
0.723760 | − | 0.690052i | \(-0.242412\pi\) | |||||||
\(432\) | −10.2394 | + | 12.2028i | −0.492642 | + | 0.587108i | ||||
\(433\) | −12.7943 | − | 15.2476i | −0.614853 | − | 0.732754i | 0.365323 | − | 0.930881i | \(-0.380959\pi\) |
−0.980176 | + | 0.198127i | \(0.936514\pi\) | |||||||
\(434\) | 4.28738 | − | 24.3149i | 0.205801 | − | 1.16715i | ||||
\(435\) | −3.01285 | − | 8.27772i | −0.144455 | − | 0.396886i | ||||
\(436\) | 6.68459 | 0.320134 | ||||||||
\(437\) | −13.8633 | − | 7.98470i | −0.663171 | − | 0.381960i | ||||
\(438\) | −9.34008 | −0.446286 | ||||||||
\(439\) | −13.2981 | + | 4.84010i | −0.634682 | + | 0.231005i | −0.639268 | − | 0.768984i | \(-0.720762\pi\) |
0.00458595 | + | 0.999989i | \(0.498540\pi\) | |||||||
\(440\) | −6.75975 | − | 8.40679i | −0.322259 | − | 0.400778i | ||||
\(441\) | 32.1544 | − | 26.9808i | 1.53116 | − | 1.28480i | ||||
\(442\) | 13.9588 | − | 16.6354i | 0.663952 | − | 0.791268i | ||||
\(443\) | −6.50369 | − | 36.8842i | −0.308999 | − | 1.75242i | −0.604055 | − | 0.796943i | \(-0.706449\pi\) |
0.295055 | − | 0.955480i | \(-0.404662\pi\) | |||||||
\(444\) | 0.753275 | + | 1.30471i | 0.0357488 | + | 0.0619188i | ||||
\(445\) | −0.469422 | − | 0.271021i | −0.0222527 | − | 0.0128476i | ||||
\(446\) | −6.96068 | + | 19.1243i | −0.329598 | + | 0.905562i | ||||
\(447\) | 20.9434 | + | 7.62276i | 0.990587 | + | 0.360544i | ||||
\(448\) | −3.04403 | − | 1.75747i | −0.143817 | − | 0.0830329i | ||||
\(449\) | 23.6829 | − | 13.6733i | 1.11766 | − | 0.645284i | 0.176861 | − | 0.984236i | \(-0.443406\pi\) |
0.940804 | + | 0.338952i | \(0.110072\pi\) | |||||||
\(450\) | −7.59382 | − | 43.0667i | −0.357976 | − | 2.03018i | ||||
\(451\) | −18.0129 | + | 2.78923i | −0.848193 | + | 0.131340i | ||||
\(452\) | −0.358576 | − | 0.427334i | −0.0168660 | − | 0.0201001i | ||||
\(453\) | −75.6366 | − | 13.3368i | −3.55372 | − | 0.626617i | ||||
\(454\) | 0.468351 | − | 0.170466i | 0.0219808 | − | 0.00800035i | ||||
\(455\) | 51.1674i | 2.39877i | ||||||||
\(456\) | 13.4901 | + | 4.89405i | 0.631730 | + | 0.229185i | ||||
\(457\) | − | 7.92199i | − | 0.370575i | −0.982684 | − | 0.185287i | \(-0.940678\pi\) | ||
0.982684 | − | 0.185287i | \(-0.0593216\pi\) | |||||||
\(458\) | −11.6504 | + | 4.24041i | −0.544389 | + | 0.198141i | ||||
\(459\) | −13.4216 | + | 76.1175i | −0.626465 | + | 3.55286i | ||||
\(460\) | 9.14476 | − | 7.67337i | 0.426377 | − | 0.357773i | ||||
\(461\) | −9.98853 | + | 11.9039i | −0.465212 | + | 0.554418i | −0.946734 | − | 0.322016i | \(-0.895640\pi\) |
0.481522 | + | 0.876434i | \(0.340084\pi\) | |||||||
\(462\) | −32.8294 | − | 19.8805i | −1.52736 | − | 0.924925i | ||||
\(463\) | 4.98719 | + | 8.63806i | 0.231774 | + | 0.401445i | 0.958330 | − | 0.285662i | \(-0.0922136\pi\) |
−0.726556 | + | 0.687107i | \(0.758880\pi\) | |||||||
\(464\) | −0.411327 | + | 0.712440i | −0.0190954 | + | 0.0330742i | ||||
\(465\) | −70.6799 | − | 25.7254i | −3.27770 | − | 1.19299i | ||||
\(466\) | 5.84055 | − | 16.0468i | 0.270558 | − | 0.743353i | ||||
\(467\) | −14.5874 | + | 25.2662i | −0.675026 | + | 1.16918i | 0.301436 | + | 0.953487i | \(0.402534\pi\) |
−0.976461 | + | 0.215692i | \(0.930799\pi\) | |||||||
\(468\) | −17.5413 | − | 30.3824i | −0.810847 | − | 1.40443i | ||||
\(469\) | 4.01163 | + | 22.7511i | 0.185240 | + | 1.05055i | ||||
\(470\) | 9.75865 | + | 8.18848i | 0.450133 | + | 0.377706i | ||||
\(471\) | 26.9967 | + | 32.1734i | 1.24394 | + | 1.48247i | ||||
\(472\) | −7.82204 | − | 1.37924i | −0.360039 | − | 0.0634845i | ||||
\(473\) | −17.1736 | − | 6.66046i | −0.789643 | − | 0.306248i | ||||
\(474\) | 12.2551i | 0.562894i | ||||||||
\(475\) | −21.0474 | + | 12.1810i | −0.965719 | + | 0.558902i | ||||
\(476\) | −17.0548 | −0.781705 | ||||||||
\(477\) | 3.31655 | + | 9.11215i | 0.151854 | + | 0.417217i | ||||
\(478\) | 6.07184 | + | 1.07063i | 0.277720 | + | 0.0489694i | ||||
\(479\) | −24.5847 | − | 29.2989i | −1.12330 | − | 1.33870i | −0.934203 | − | 0.356743i | \(-0.883887\pi\) |
−0.189100 | − | 0.981958i | \(-0.560557\pi\) | |||||||
\(480\) | −6.88296 | + | 8.20279i | −0.314163 | + | 0.374404i | ||||
\(481\) | −2.01698 | + | 0.355648i | −0.0919664 | + | 0.0162162i | ||||
\(482\) | 6.53332 | + | 11.3160i | 0.297585 | + | 0.515432i | ||||
\(483\) | 21.2360 | − | 36.7818i | 0.966272 | − | 1.67363i | ||||
\(484\) | −2.36128 | + | 10.7436i | −0.107331 | + | 0.488344i | ||||
\(485\) | −16.1425 | + | 44.3511i | −0.732992 | + | 2.01388i | ||||
\(486\) | 41.0905 | + | 23.7236i | 1.86390 | + | 1.07613i | ||||
\(487\) | −2.29305 | + | 1.32389i | −0.103908 | + | 0.0599913i | −0.551053 | − | 0.834470i | \(-0.685774\pi\) |
0.447145 | + | 0.894461i | \(0.352441\pi\) | |||||||
\(488\) | 2.10531 | − | 0.371224i | 0.0953031 | − | 0.0168045i | ||||
\(489\) | 26.2223 | − | 31.2505i | 1.18581 | − | 1.41320i | ||||
\(490\) | 13.3421 | − | 11.1953i | 0.602734 | − | 0.505754i | ||||
\(491\) | −4.24422 | − | 0.748370i | −0.191539 | − | 0.0337735i | 0.0770558 | − | 0.997027i | \(-0.475448\pi\) |
−0.268595 | + | 0.963253i | \(0.586559\pi\) | |||||||
\(492\) | 6.18828 | + | 17.0022i | 0.278989 | + | 0.766517i | ||||
\(493\) | 3.99158i | 0.179772i | ||||||||
\(494\) | −12.5244 | + | 14.9577i | −0.563500 | + | 0.672977i | ||||
\(495\) | −55.6952 | + | 63.6249i | −2.50331 | + | 2.85973i | ||||
\(496\) | 2.40245 | + | 6.60068i | 0.107873 | + | 0.296379i | ||||
\(497\) | −6.10262 | + | 34.6097i | −0.273740 | + | 1.55246i | ||||
\(498\) | −20.0810 | + | 16.8500i | −0.899851 | + | 0.755065i | ||||
\(499\) | −12.3107 | − | 10.3299i | −0.551105 | − | 0.462432i | 0.324210 | − | 0.945985i | \(-0.394901\pi\) |
−0.875315 | + | 0.483553i | \(0.839346\pi\) | |||||||
\(500\) | −0.326986 | − | 1.85443i | −0.0146232 | − | 0.0829325i | ||||
\(501\) | −41.5601 | + | 23.9947i | −1.85677 | + | 1.07201i | ||||
\(502\) | −12.3782 | + | 21.4397i | −0.552466 | + | 0.956898i | ||||
\(503\) | 5.43018 | − | 14.9193i | 0.242120 | − | 0.665219i | −0.757799 | − | 0.652488i | \(-0.773725\pi\) |
0.999919 | − | 0.0127309i | \(-0.00405249\pi\) | |||||||
\(504\) | −9.42343 | + | 25.8907i | −0.419753 | + | 1.15326i | ||||
\(505\) | −43.0961 | − | 24.8816i | −1.91775 | − | 1.10722i | ||||
\(506\) | −11.9411 | − | 2.36395i | −0.530849 | − | 0.105090i | ||||
\(507\) | 22.7964 | − | 4.01963i | 1.01243 | − | 0.178518i | ||||
\(508\) | −7.91814 | − | 6.64411i | −0.351311 | − | 0.294785i | ||||
\(509\) | 4.79284 | + | 5.71189i | 0.212439 | + | 0.253175i | 0.861732 | − | 0.507363i | \(-0.169380\pi\) |
−0.649293 | + | 0.760538i | \(0.724935\pi\) | |||||||
\(510\) | −9.02205 | + | 51.1666i | −0.399503 | + | 2.26569i | ||||
\(511\) | −9.37063 | + | 3.41063i | −0.414532 | + | 0.150877i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 11.9860 | − | 68.3933i | 0.529197 | − | 3.01964i | ||||
\(514\) | − | 27.5420i | − | 1.21483i | ||||||
\(515\) | 2.30976 | + | 6.34602i | 0.101780 | + | 0.279639i | ||||
\(516\) | −3.17504 | + | 18.0065i | −0.139773 | + | 0.792693i | ||||
\(517\) | 0.271557 | − | 12.9872i | 0.0119431 | − | 0.571177i | ||||
\(518\) | 1.23217 | + | 1.03391i | 0.0541383 | + | 0.0454275i | ||||
\(519\) | 10.5654 | − | 1.86297i | 0.463770 | − | 0.0817752i | ||||
\(520\) | −7.27855 | − | 12.6068i | −0.319185 | − | 0.552845i | ||||
\(521\) | 21.7251 | + | 12.5430i | 0.951796 | + | 0.549520i | 0.893638 | − | 0.448788i | \(-0.148144\pi\) |
0.0581574 | + | 0.998307i | \(0.481477\pi\) | |||||||
\(522\) | 6.05957 | + | 2.20550i | 0.265220 | + | 0.0965322i | ||||
\(523\) | −34.6437 | − | 12.6093i | −1.51486 | − | 0.551365i | −0.555004 | − | 0.831848i | \(-0.687283\pi\) |
−0.959859 | + | 0.280483i | \(0.909506\pi\) | |||||||
\(524\) | −10.1244 | − | 5.84532i | −0.442286 | − | 0.255354i | ||||
\(525\) | −32.2796 | − | 55.9098i | −1.40880 | − | 2.44011i | ||||
\(526\) | 7.41931 | − | 1.30822i | 0.323497 | − | 0.0570413i | ||||
\(527\) | 26.1086 | + | 21.9077i | 1.13731 | + | 0.954315i | ||||
\(528\) | 10.9166 | + | 0.228262i | 0.475085 | + | 0.00993383i | ||||
\(529\) | −1.65472 | + | 9.38439i | −0.0719444 | + | 0.408017i | ||||
\(530\) | 1.37616 | + | 3.78098i | 0.0597767 | + | 0.164235i | ||||
\(531\) | 62.2597i | 2.70184i | ||||||||
\(532\) | 15.3213 | − | 0.0159825i | 0.664263 | − | 0.000692929i | ||||
\(533\) | −24.5972 | −1.06542 | ||||||||
\(534\) | 0.515565 | − | 0.187650i | 0.0223107 | − | 0.00812043i | ||||
\(535\) | 2.42008 | − | 13.7250i | 0.104629 | − | 0.593383i | ||||
\(536\) | −4.22473 | − | 5.03484i | −0.182481 | − | 0.217472i | ||||
\(537\) | 41.6315 | + | 34.9329i | 1.79653 | + | 1.50747i | ||||
\(538\) | 17.0100 | − | 2.99931i | 0.733351 | − | 0.129310i | ||||
\(539\) | −17.4220 | − | 3.44897i | −0.750417 | − | 0.148557i | ||||
\(540\) | 44.8702 | + | 25.9058i | 1.93090 | + | 1.11481i | ||||
\(541\) | 2.21533 | − | 6.08657i | 0.0952444 | − | 0.261682i | −0.882917 | − | 0.469529i | \(-0.844424\pi\) |
0.978161 | + | 0.207848i | \(0.0666458\pi\) | |||||||
\(542\) | 4.17631 | − | 11.4743i | 0.179388 | − | 0.492864i | ||||
\(543\) | 7.39892 | − | 12.8153i | 0.317518 | − | 0.549957i | ||||
\(544\) | 4.20202 | − | 2.42604i | 0.180160 | − | 0.104015i | ||||
\(545\) | −3.77543 | − | 21.4115i | −0.161722 | − | 0.917169i | ||||
\(546\) | −39.6746 | − | 33.2910i | −1.69792 | − | 1.42472i | ||||
\(547\) | −5.36643 | + | 4.50297i | −0.229452 | + | 0.192533i | −0.750264 | − | 0.661138i | \(-0.770074\pi\) |
0.520812 | + | 0.853671i | \(0.325629\pi\) | |||||||
\(548\) | −1.10704 | + | 6.27832i | −0.0472903 | + | 0.268197i | ||||
\(549\) | −5.73133 | − | 15.7467i | −0.244607 | − | 0.672053i | ||||
\(550\) | −12.1874 | + | 13.9226i | −0.519672 | + | 0.593661i | ||||
\(551\) | −0.00374061 | − | 3.58587i | −0.000159356 | − | 0.152763i | ||||
\(552\) | 12.0833i | 0.514297i | ||||||||
\(553\) | 4.47507 | + | 12.2951i | 0.190299 | + | 0.522843i | ||||
\(554\) | −23.7286 | − | 4.18399i | −1.00813 | − | 0.177761i | ||||
\(555\) | 3.75369 | − | 3.14972i | 0.159335 | − | 0.133698i | ||||
\(556\) | −11.6083 | + | 13.8343i | −0.492303 | + | 0.586704i | ||||
\(557\) | 3.31374 | − | 0.584302i | 0.140408 | − | 0.0247577i | −0.103003 | − | 0.994681i | \(-0.532845\pi\) |
0.243410 | + | 0.969923i | \(0.421734\pi\) | |||||||
\(558\) | 47.6839 | − | 27.5303i | 2.01862 | − | 1.16545i | ||||
\(559\) | −21.5266 | − | 12.4284i | −0.910480 | − | 0.525666i | ||||
\(560\) | −3.91014 | + | 10.7430i | −0.165233 | + | 0.453975i | ||||
\(561\) | 46.4256 | − | 25.5249i | 1.96009 | − | 1.07766i | ||||
\(562\) | −11.3603 | + | 19.6767i | −0.479207 | + | 0.830011i | ||||
\(563\) | −7.60351 | − | 13.1697i | −0.320450 | − | 0.555036i | 0.660131 | − | 0.751151i | \(-0.270501\pi\) |
−0.980581 | + | 0.196115i | \(0.937167\pi\) | |||||||
\(564\) | −12.6985 | + | 2.23909i | −0.534703 | + | 0.0942826i | ||||
\(565\) | −1.16628 | + | 1.38992i | −0.0490657 | + | 0.0584743i | ||||
\(566\) | −16.2307 | − | 19.3430i | −0.682229 | − | 0.813048i | ||||
\(567\) | 100.135 | + | 17.6565i | 4.20527 | + | 0.741503i | ||||
\(568\) | −3.41963 | − | 9.39535i | −0.143484 | − | 0.394220i | ||||
\(569\) | −12.6748 | −0.531353 | −0.265677 | − | 0.964062i | \(-0.585595\pi\) | ||||
−0.265677 | + | 0.964062i | \(0.585595\pi\) | |||||||
\(570\) | 8.05708 | − | 45.9743i | 0.337474 | − | 1.92565i | ||||
\(571\) | − | 31.2387i | − | 1.30730i | −0.756797 | − | 0.653650i | \(-0.773237\pi\) | ||
0.756797 | − | 0.653650i | \(-0.226763\pi\) | |||||||
\(572\) | −5.36742 | + | 13.8396i | −0.224423 | + | 0.578662i | ||||
\(573\) | −59.2638 | − | 10.4498i | −2.47578 | − | 0.436547i | ||||
\(574\) | 12.4171 | + | 14.7981i | 0.518278 | + | 0.617659i | ||||
\(575\) | −15.6857 | − | 13.1618i | −0.654138 | − | 0.548887i | ||||
\(576\) | −1.36116 | − | 7.71951i | −0.0567149 | − | 0.321646i | ||||
\(577\) | −19.2938 | − | 33.4178i | −0.803209 | − | 1.39120i | −0.917493 | − | 0.397751i | \(-0.869791\pi\) |
0.114284 | − | 0.993448i | \(-0.463543\pi\) | |||||||
\(578\) | 3.27129 | − | 5.66605i | 0.136068 | − | 0.235677i | ||||
\(579\) | −17.5260 | + | 48.1523i | −0.728357 | + | 2.00114i | ||||
\(580\) | 2.51434 | + | 0.915146i | 0.104402 | + | 0.0379994i | ||||
\(581\) | −13.9937 | + | 24.2379i | −0.580558 | + | 1.00556i | ||||
\(582\) | −23.8866 | − | 41.3728i | −0.990131 | − | 1.71496i | ||||
\(583\) | 2.12529 | − | 3.50957i | 0.0880206 | − | 0.145352i | ||||
\(584\) | 1.82361 | − | 2.17329i | 0.0754615 | − | 0.0899315i | ||||
\(585\) | −87.4111 | + | 73.3467i | −3.61401 | + | 3.03251i | ||||
\(586\) | 3.37644 | − | 19.1487i | 0.139479 | − | 0.791027i | ||||
\(587\) | −2.65130 | + | 0.964995i | −0.109431 | + | 0.0398296i | −0.396155 | − | 0.918183i | \(-0.629656\pi\) |
0.286724 | + | 0.958013i | \(0.407434\pi\) | |||||||
\(588\) | 17.6293i | 0.727020i | ||||||||
\(589\) | −23.4754 | − | 19.6565i | −0.967287 | − | 0.809933i | ||||
\(590\) | 25.8339i | 1.06356i | ||||||||
\(591\) | −14.0822 | + | 5.12550i | −0.579264 | + | 0.210835i | ||||
\(592\) | −0.450659 | − | 0.0794634i | −0.0185220 | − | 0.00326593i | ||||
\(593\) | 18.2824 | + | 21.7881i | 0.750768 | + | 0.894731i | 0.997227 | − | 0.0744225i | \(-0.0237114\pi\) |
−0.246459 | + | 0.969153i | \(0.579267\pi\) | |||||||
\(594\) | −8.08460 | − | 52.2104i | −0.331715 | − | 2.14222i | ||||
\(595\) | 9.63247 | + | 54.6284i | 0.394893 | + | 2.23955i | ||||
\(596\) | −5.86279 | + | 3.38489i | −0.240149 | + | 0.138650i | ||||
\(597\) | 22.9644 | + | 13.2585i | 0.939872 | + | 0.542635i | ||||
\(598\) | −15.4361 | − | 5.61827i | −0.631228 | − | 0.229748i | ||||
\(599\) | 5.33123 | − | 14.6474i | 0.217828 | − | 0.598478i | −0.781860 | − | 0.623454i | \(-0.785729\pi\) |
0.999688 | + | 0.0249763i | \(0.00795103\pi\) | |||||||
\(600\) | 15.9063 | + | 9.18351i | 0.649372 | + | 0.374915i | ||||
\(601\) | 4.63664 | + | 8.03089i | 0.189132 | + | 0.327587i | 0.944961 | − | 0.327182i | \(-0.106099\pi\) |
−0.755829 | + | 0.654769i | \(0.772766\pi\) | |||||||
\(602\) | 3.38986 | + | 19.2248i | 0.138160 | + | 0.783546i | ||||
\(603\) | −33.1160 | + | 39.4661i | −1.34859 | + | 1.60718i | ||||
\(604\) | 17.8710 | − | 14.9955i | 0.727160 | − | 0.610159i | ||||
\(605\) | 35.7465 | + | 1.49555i | 1.45330 | + | 0.0608026i | ||||
\(606\) | 47.3324 | − | 17.2276i | 1.92275 | − | 0.699823i | ||||
\(607\) | −39.7452 | −1.61321 | −0.806604 | − | 0.591092i | \(-0.798697\pi\) | ||||
−0.806604 | + | 0.591092i | \(0.798697\pi\) | |||||||
\(608\) | −3.77264 | + | 2.18339i | −0.153001 | + | 0.0885480i | ||||
\(609\) | 9.51969 | 0.385757 | ||||||||
\(610\) | −2.37815 | − | 6.53390i | −0.0962883 | − | 0.264550i | ||||
\(611\) | 3.04395 | − | 17.2631i | 0.123145 | − | 0.698391i | ||||
\(612\) | −24.4474 | − | 29.1353i | −0.988228 | − | 1.17772i | ||||
\(613\) | 5.88538 | − | 7.01392i | 0.237708 | − | 0.283290i | −0.633981 | − | 0.773349i | \(-0.718580\pi\) |
0.871689 | + | 0.490059i | \(0.163025\pi\) | |||||||
\(614\) | 2.21174 | + | 12.5434i | 0.0892585 | + | 0.506210i | ||||
\(615\) | 50.9648 | − | 29.4245i | 2.05510 | − | 1.18651i | ||||
\(616\) | 11.0357 | − | 3.75731i | 0.444640 | − | 0.151386i | ||||
\(617\) | −9.75250 | − | 3.54962i | −0.392621 | − | 0.142902i | 0.138163 | − | 0.990409i | \(-0.455880\pi\) |
−0.530784 | + | 0.847507i | \(0.678102\pi\) | |||||||
\(618\) | −6.42343 | − | 2.33794i | −0.258388 | − | 0.0940456i | ||||
\(619\) | −22.0565 | + | 38.2030i | −0.886525 | + | 1.53551i | −0.0425698 | + | 0.999093i | \(0.513554\pi\) |
−0.843955 | + | 0.536413i | \(0.819779\pi\) | |||||||
\(620\) | 19.7858 | − | 11.4234i | 0.794618 | − | 0.458773i | ||||
\(621\) | 57.5777 | − | 10.1525i | 2.31052 | − | 0.407406i | ||||
\(622\) | −11.1866 | − | 9.38664i | −0.448540 | − | 0.376370i | ||||
\(623\) | 0.448729 | − | 0.376528i | 0.0179780 | − | 0.0150853i | ||||
\(624\) | 14.5108 | + | 2.55865i | 0.580897 | + | 0.102428i | ||||
\(625\) | 20.4572 | − | 7.44581i | 0.818288 | − | 0.297832i | ||||
\(626\) | 4.16436 | 0.166441 | ||||||||
\(627\) | −41.6829 | + | 22.9740i | −1.66465 | + | 0.917494i | ||||
\(628\) | −12.7573 | −0.509070 | ||||||||
\(629\) | −2.08646 | + | 0.759409i | −0.0831926 | + | 0.0302796i | ||||
\(630\) | 88.2531 | + | 15.5614i | 3.51609 | + | 0.619981i | ||||
\(631\) | −20.7105 | + | 17.3782i | −0.824472 | + | 0.691814i | −0.954015 | − | 0.299760i | \(-0.903093\pi\) |
0.129543 | + | 0.991574i | \(0.458649\pi\) | |||||||
\(632\) | −2.85156 | − | 2.39275i | −0.113429 | − | 0.0951783i | ||||
\(633\) | −15.5968 | + | 2.75014i | −0.619917 | + | 0.109308i | ||||
\(634\) | 9.05990 | − | 5.23074i | 0.359815 | − | 0.207739i | ||||
\(635\) | −16.8097 | + | 29.1153i | −0.667073 | + | 1.15541i | ||||
\(636\) | −3.82709 | − | 1.39295i | −0.151754 | − | 0.0552340i | ||||
\(637\) | −22.5210 | − | 8.19697i | −0.892315 | − | 0.324776i | ||||
\(638\) | −0.879378 | − | 2.58284i | −0.0348149 | − | 0.102256i | ||||
\(639\) | −67.8729 | + | 39.1864i | −2.68501 | + | 1.55019i | ||||
\(640\) | −0.564796 | − | 3.20312i | −0.0223255 | − | 0.126614i | ||||
\(641\) | 25.8444 | − | 30.8001i | 1.02079 | − | 1.21653i | 0.0447389 | − | 0.998999i | \(-0.485754\pi\) |
0.976053 | − | 0.217533i | \(-0.0698011\pi\) | |||||||
\(642\) | 9.06761 | + | 10.8064i | 0.357870 | + | 0.426493i | ||||
\(643\) | −4.80334 | + | 27.2411i | −0.189425 | + | 1.07428i | 0.730711 | + | 0.682687i | \(0.239189\pi\) |
−0.920136 | + | 0.391598i | \(0.871922\pi\) | |||||||
\(644\) | 4.41233 | + | 12.1228i | 0.173870 | + | 0.477704i | ||||
\(645\) | 59.4703 | 2.34164 | ||||||||
\(646\) | −10.5557 | + | 18.3272i | −0.415310 | + | 0.721073i | ||||
\(647\) | 7.16076 | 0.281519 | 0.140759 | − | 0.990044i | \(-0.455046\pi\) | ||||
0.140759 | + | 0.990044i | \(0.455046\pi\) | |||||||
\(648\) | −27.1832 | + | 9.89389i | −1.06786 | + | 0.388669i | ||||
\(649\) | 20.5295 | − | 16.5074i | 0.805852 | − | 0.647971i | ||||
\(650\) | −19.1276 | + | 16.0499i | −0.750244 | + | 0.629530i | ||||
\(651\) | 52.2487 | − | 62.2676i | 2.04779 | − | 2.44046i | ||||
\(652\) | 2.15172 | + | 12.2030i | 0.0842680 | + | 0.477908i | ||||
\(653\) | 22.1487 | + | 38.3627i | 0.866747 | + | 1.50125i | 0.865302 | + | 0.501250i | \(0.167126\pi\) |
0.00144449 | + | 0.999999i | \(0.499540\pi\) | |||||||
\(654\) | 19.0586 | + | 11.0035i | 0.745252 | + | 0.430271i | ||||
\(655\) | −13.0050 | + | 35.7310i | −0.508149 | + | 1.39613i | ||||
\(656\) | −5.16438 | − | 1.87968i | −0.201635 | − | 0.0733891i | ||||
\(657\) | −19.2590 | − | 11.1192i | −0.751364 | − | 0.433800i | ||||
\(658\) | −11.9224 | + | 6.88341i | −0.464784 | + | 0.268343i | ||||
\(659\) | 2.44110 | + | 13.8442i | 0.0950918 | + | 0.539292i | 0.994719 | + | 0.102634i | \(0.0327271\pi\) |
−0.899627 | + | 0.436658i | \(0.856162\pi\) | |||||||
\(660\) | −5.43451 | − | 35.0961i | −0.211538 | − | 1.36611i | ||||
\(661\) | −0.924952 | − | 1.10231i | −0.0359765 | − | 0.0428751i | 0.747756 | − | 0.663973i | \(-0.231131\pi\) |
−0.783733 | + | 0.621098i | \(0.786687\pi\) | |||||||
\(662\) | 16.9526 | + | 2.98921i | 0.658883 | + | 0.116179i | ||||
\(663\) | 67.1820 | − | 24.4522i | 2.60913 | − | 0.949646i | ||||
\(664\) | − | 7.96242i | − | 0.309002i | ||||||
\(665\) | −8.70460 | − | 49.0669i | −0.337550 | − | 1.90273i | ||||
\(666\) | 3.58703i | 0.138995i | ||||||||
\(667\) | 2.83727 | − | 1.03268i | 0.109860 | − | 0.0399856i | ||||
\(668\) | 2.53122 | − | 14.3553i | 0.0979358 | − | 0.555421i | ||||
\(669\) | −51.3264 | + | 43.0679i | −1.98439 | + | 1.66510i | ||||
\(670\) | −13.7411 | + | 16.3760i | −0.530863 | + | 0.632658i | ||||
\(671\) | −3.67272 | + | 6.06489i | −0.141784 | + | 0.234132i | ||||
\(672\) | −5.78596 | − | 10.0216i | −0.223198 | − | 0.386591i | ||||
\(673\) | −10.8985 | + | 18.8768i | −0.420108 | + | 0.727648i | −0.995950 | − | 0.0899130i | \(-0.971341\pi\) |
0.575842 | + | 0.817561i | \(0.304674\pi\) | |||||||
\(674\) | 21.2577 | + | 7.73715i | 0.818814 | + | 0.298024i | ||||
\(675\) | 30.3955 | − | 83.5110i | 1.16992 | − | 3.21434i | ||||
\(676\) | −3.51560 | + | 6.08919i | −0.135215 | + | 0.234200i | ||||
\(677\) | 10.1291 | + | 17.5442i | 0.389294 | + | 0.674277i | 0.992355 | − | 0.123418i | \(-0.0393856\pi\) |
−0.603061 | + | 0.797695i | \(0.706052\pi\) | |||||||
\(678\) | −0.318912 | − | 1.80864i | −0.0122477 | − | 0.0694604i | ||||
\(679\) | −39.0724 | − | 32.7857i | −1.49946 | − | 1.25820i | ||||
\(680\) | −10.1442 | − | 12.0893i | −0.389010 | − | 0.463605i | ||||
\(681\) | 1.61593 | + | 0.284933i | 0.0619227 | + | 0.0109186i | ||||
\(682\) | −21.7206 | − | 8.42394i | −0.831725 | − | 0.322569i | ||||
\(683\) | − | 39.4841i | − | 1.51082i | −0.655254 | − | 0.755409i | \(-0.727438\pi\) | ||
0.655254 | − | 0.755409i | \(-0.272562\pi\) | |||||||
\(684\) | 21.9898 | + | 26.1510i | 0.840802 | + | 0.999909i | ||||
\(685\) | 20.7354 | 0.792261 | ||||||||
\(686\) | −1.97775 | − | 5.43384i | −0.0755110 | − | 0.207465i | ||||
\(687\) | −40.1971 | − | 7.08783i | −1.53361 | − | 0.270417i | ||||
\(688\) | −3.56993 | − | 4.25448i | −0.136102 | − | 0.162200i | ||||
\(689\) | 3.55892 | − | 4.24135i | 0.135584 | − | 0.161583i | ||||
\(690\) | 38.7041 | − | 6.82457i | 1.47344 | − | 0.259807i | ||||
\(691\) | −3.67395 | − | 6.36348i | −0.139764 | − | 0.242078i | 0.787643 | − | 0.616131i | \(-0.211301\pi\) |
−0.927407 | + | 0.374053i | \(0.877968\pi\) | |||||||
\(692\) | −1.62937 | + | 2.82215i | −0.0619392 | + | 0.107282i | ||||
\(693\) | −44.0259 | − | 80.0757i | −1.67241 | − | 3.04182i | ||||
\(694\) | 4.44855 | − | 12.2223i | 0.168865 | − | 0.463952i | ||||
\(695\) | 50.8692 | + | 29.3693i | 1.92958 | + | 1.11404i | ||||
\(696\) | −2.34550 | + | 1.35417i | −0.0889058 | + | 0.0513298i | ||||
\(697\) | −26.2610 | + | 4.63052i | −0.994705 | + | 0.175393i | ||||
\(698\) | −15.6629 | + | 18.6663i | −0.592849 | + | 0.706529i | ||||
\(699\) | 43.0668 | − | 36.1373i | 1.62894 | − | 1.36684i | ||||
\(700\) | 19.3118 | + | 3.40519i | 0.729917 | + | 0.128704i | ||||
\(701\) | −1.45744 | − | 4.00428i | −0.0550467 | − | 0.151240i | 0.909122 | − | 0.416531i | \(-0.136754\pi\) |
−0.964168 | + | 0.265291i | \(0.914532\pi\) | |||||||
\(702\) | − | 71.2950i | − | 2.69086i | ||||||
\(703\) | 1.87368 | − | 0.684176i | 0.0706670 | − | 0.0258042i | ||||
\(704\) | −2.18453 | + | 2.49556i | −0.0823327 | + | 0.0940549i | ||||
\(705\) | 14.3441 | + | 39.4101i | 0.540231 | + | 1.48427i | ||||
\(706\) | 0.130754 | − | 0.741544i | 0.00492100 | − | 0.0279084i | ||||
\(707\) | 41.1964 | − | 34.5679i | 1.54935 | − | 1.30006i | ||||
\(708\) | −20.0313 | − | 16.8083i | −0.752822 | − | 0.631693i | ||||
\(709\) | −5.73801 | − | 32.5418i | −0.215495 | − | 1.22213i | −0.880045 | − | 0.474891i | \(-0.842488\pi\) |
0.664550 | − | 0.747244i | \(-0.268623\pi\) | |||||||
\(710\) | −28.1630 | + | 16.2599i | −1.05694 | + | 0.610224i | ||||
\(711\) | −14.5894 | + | 25.2696i | −0.547145 | + | 0.947683i | ||||
\(712\) | −0.0569984 | + | 0.156602i | −0.00213611 | + | 0.00586891i | ||||
\(713\) | 8.81763 | − | 24.2262i | 0.330223 | − | 0.907279i | ||||
\(714\) | −48.6254 | − | 28.0739i | −1.81976 | − | 1.05064i | ||||
\(715\) | 47.3613 | + | 9.37594i | 1.77121 | + | 0.350640i | ||||
\(716\) | −16.2567 | + | 2.86650i | −0.607542 | + | 0.107126i | ||||
\(717\) | 15.5492 | + | 13.0474i | 0.580697 | + | 0.487263i | ||||
\(718\) | 19.3277 | + | 23.0338i | 0.721303 | + | 0.859615i | ||||
\(719\) | 1.23365 | − | 6.99635i | 0.0460072 | − | 0.260920i | −0.953125 | − | 0.302578i | \(-0.902153\pi\) |
0.999132 | + | 0.0416579i | \(0.0132640\pi\) | |||||||
\(720\) | −23.9577 | + | 8.71989i | −0.892851 | + | 0.324971i | ||||
\(721\) | −7.29816 | −0.271798 | ||||||||
\(722\) | 9.46565 | − | 16.4743i | 0.352275 | − | 0.613109i | ||||
\(723\) | 43.0180i | 1.59986i | ||||||||
\(724\) | 1.53732 | + | 4.22374i | 0.0571339 | + | 0.156974i | ||||
\(725\) | 0.796966 | − | 4.51982i | 0.0295986 | − | 0.167862i | ||||
\(726\) | −24.4173 | + | 26.7444i | −0.906212 | + | 0.992578i | ||||
\(727\) | 18.9807 | + | 15.9267i | 0.703957 | + | 0.590690i | 0.922896 | − | 0.385049i | \(-0.125815\pi\) |
−0.218940 | + | 0.975738i | \(0.570260\pi\) | |||||||
\(728\) | 15.4926 | − | 2.73176i | 0.574193 | − | 0.101246i | ||||
\(729\) | 34.7113 | + | 60.1217i | 1.28560 | + | 2.22673i | ||||
\(730\) | −7.99127 | − | 4.61376i | −0.295770 | − | 0.170763i | ||||
\(731\) | −25.3224 | − | 9.21660i | −0.936583 | − | 0.340888i | ||||
\(732\) | 6.61360 | + | 2.40715i | 0.244446 | + | 0.0889709i | ||||
\(733\) | 26.5839 | + | 15.3482i | 0.981899 | + | 0.566900i | 0.902843 | − | 0.429970i | \(-0.141476\pi\) |
0.0790562 | + | 0.996870i | \(0.474809\pi\) | |||||||
\(734\) | 10.5076 | + | 18.1997i | 0.387844 | + | 0.671765i | ||||
\(735\) | 56.4687 | − | 9.95695i | 2.08288 | − | 0.367268i | ||||
\(736\) | −2.81159 | − | 2.35920i | −0.103636 | − | 0.0869613i | ||||
\(737\) | 21.7938 | + | 0.455699i | 0.802785 | + | 0.0167859i | ||||
\(738\) | −7.48067 | + | 42.4250i | −0.275367 | + | 1.56169i | ||||
\(739\) | 0.907765 | + | 2.49406i | 0.0333927 | + | 0.0917456i | 0.955269 | − | 0.295740i | \(-0.0955661\pi\) |
−0.921876 | + | 0.387485i | \(0.873344\pi\) | |||||||
\(740\) | 1.48839i | 0.0547145i | ||||||||
\(741\) | −60.3306 | + | 22.0298i | −2.21630 | + | 0.809286i | ||||
\(742\) | −4.34826 | −0.159630 | ||||||||
\(743\) | 36.7899 | − | 13.3904i | 1.34969 | − | 0.491247i | 0.436839 | − | 0.899540i | \(-0.356098\pi\) |
0.912851 | + | 0.408293i | \(0.133876\pi\) | |||||||
\(744\) | −4.01568 | + | 22.7741i | −0.147222 | + | 0.834938i | ||||
\(745\) | 14.1535 | + | 16.8674i | 0.518543 | + | 0.617975i | ||||
\(746\) | 6.03074 | + | 5.06039i | 0.220801 | + | 0.185274i | ||||
\(747\) | −61.4659 | + | 10.8381i | −2.24892 | + | 0.396545i | ||||
\(748\) | −3.12513 | + | 15.7861i | −0.114266 | + | 0.577198i | ||||
\(749\) | 13.0433 | + | 7.53057i | 0.476593 | + | 0.275161i | ||||
\(750\) | 2.12030 | − | 5.82547i | 0.0774223 | − | 0.212716i | ||||
\(751\) | −14.3818 | + | 39.5135i | −0.524798 | + | 1.44187i | 0.340324 | + | 0.940308i | \(0.389463\pi\) |
−0.865122 | + | 0.501562i | \(0.832759\pi\) | |||||||
\(752\) | 1.95832 | − | 3.39192i | 0.0714127 | − | 0.123690i | ||||
\(753\) | −70.5837 | + | 40.7515i | −2.57221 | + | 1.48507i | ||||
\(754\) | −0.639354 | − | 3.62595i | −0.0232839 | − | 0.132049i | ||||
\(755\) | −58.1259 | − | 48.7734i | −2.11542 | − | 1.77505i | ||||
\(756\) | −42.8922 | + | 35.9909i | −1.55998 | + | 1.30898i | ||||
\(757\) | −5.70939 | + | 32.3796i | −0.207511 | + | 1.17685i | 0.685928 | + | 0.727670i | \(0.259397\pi\) |
−0.893439 | + | 0.449185i | \(0.851714\pi\) | |||||||
\(758\) | 6.70229 | + | 18.4144i | 0.243438 | + | 0.668841i | ||||
\(759\) | −30.1545 | − | 26.3963i | −1.09454 | − | 0.958123i | ||||
\(760\) | 9.12441 | + | 10.8510i | 0.330977 | + | 0.393609i | ||||
\(761\) | − | 8.59812i | − | 0.311682i | −0.987782 | − | 0.155841i | \(-0.950191\pi\) | ||
0.987782 | − | 0.155841i | \(-0.0498087\pi\) | |||||||
\(762\) | −11.6388 | − | 31.9773i | −0.421629 | − | 1.15841i | ||||
\(763\) | 23.1390 | + | 4.08004i | 0.837689 | + | 0.147707i | ||||
\(764\) | 14.0025 | − | 11.7495i | 0.506593 | − | 0.425082i | ||||
\(765\) | −79.5159 | + | 94.7634i | −2.87490 | + | 3.42618i | ||||
\(766\) | 1.88152 | − | 0.331764i | 0.0679823 | − | 0.0119871i | ||||
\(767\) | 30.7860 | − | 17.7743i | 1.11162 | − | 0.641792i | ||||
\(768\) | 2.85113 | + | 1.64610i | 0.102881 | + | 0.0593986i | ||||
\(769\) | −0.888438 | + | 2.44096i | −0.0320379 | + | 0.0880234i | −0.954680 | − | 0.297633i | \(-0.903803\pi\) |
0.922642 | + | 0.385656i | \(0.126025\pi\) | |||||||
\(770\) | −18.2680 | − | 33.2264i | −0.658333 | − | 1.19740i | ||||
\(771\) | 45.3369 | − | 78.5259i | 1.63277 | − | 2.82804i | ||||
\(772\) | −7.78243 | − | 13.4796i | −0.280096 | − | 0.485140i | ||||
\(773\) | 22.8360 | − | 4.02660i | 0.821353 | − | 0.144827i | 0.252847 | − | 0.967506i | \(-0.418633\pi\) |
0.568505 | + | 0.822679i | \(0.307522\pi\) | |||||||
\(774\) | −27.9832 | + | 33.3491i | −1.00584 | + | 1.19871i | ||||
\(775\) | −25.1897 | − | 30.0199i | −0.904839 | − | 1.07835i | ||||
\(776\) | 14.2906 | + | 2.51981i | 0.513001 | + | 0.0904559i | ||||
\(777\) | 1.81115 | + | 4.97609i | 0.0649746 | + | 0.178516i | ||||
\(778\) | −29.2293 | −1.04792 | ||||||||
\(779\) | 23.5874 | − | 4.18447i | 0.845107 | − | 0.149924i | ||||
\(780\) | − | 47.9249i | − | 1.71599i | ||||||
\(781\) | 30.9170 | + | 11.9906i | 1.10630 | + | 0.429056i | ||||
\(782\) | −17.5378 | − | 3.09239i | −0.627152 | − | 0.110584i | ||||
\(783\) | 8.42346 | + | 10.0387i | 0.301030 | + | 0.358754i | ||||
\(784\) | −4.10206 | − | 3.44204i | −0.146502 | − | 0.122930i | ||||
\(785\) | 7.20524 | + | 40.8630i | 0.257166 | + | 1.45846i | ||||
\(786\) | −19.2440 | − | 33.3316i | −0.686410 | − | 1.18890i | ||||
\(787\) | 19.5316 | − | 33.8297i | 0.696226 | − | 1.20590i | −0.273540 | − | 0.961861i | \(-0.588194\pi\) |
0.969766 | − | 0.244038i | \(-0.0784722\pi\) | |||||||
\(788\) | 1.55686 | − | 4.27744i | 0.0554609 | − | 0.152378i | ||||
\(789\) | 23.3069 | + | 8.48302i | 0.829748 | + | 0.302003i | ||||
\(790\) | −6.05369 | + | 10.4853i | −0.215381 | + | 0.373050i | ||||
\(791\) | −0.980399 | − | 1.69810i | −0.0348590 | − | 0.0603775i | ||||
\(792\) | 22.2380 | + | 13.4667i | 0.790193 | + | 0.478517i | ||||
\(793\) | −6.15016 | + | 7.32948i | −0.218399 | + | 0.260277i | ||||
\(794\) | −5.69122 | + | 4.77550i | −0.201974 | + | 0.169476i | ||||
\(795\) | −2.30025 | + | 13.0454i | −0.0815814 | + | 0.462671i | ||||
\(796\) | −7.56876 | + | 2.75480i | −0.268267 | + | 0.0976414i | ||||
\(797\) | − | 25.4569i | − | 0.901729i | −0.892592 | − | 0.450865i | \(-0.851116\pi\) | ||
0.892592 | − | 0.450865i | \(-0.148884\pi\) | |||||||
\(798\) | 43.7093 | + | 25.1748i | 1.54729 | + | 0.891180i | ||||
\(799\) | − | 19.0039i | − | 0.672308i | ||||||
\(800\) | −5.24249 | + | 1.90811i | −0.185350 | + | 0.0674619i | ||||
\(801\) | 1.28647 | + | 0.226840i | 0.0454553 | + | 0.00801500i | ||||
\(802\) | 10.0698 | + | 12.0007i | 0.355577 | + | 0.423760i | ||||
\(803\) | 1.43985 | + | 9.29855i | 0.0508111 | + | 0.328139i | ||||
\(804\) | −3.75741 | − | 21.3093i | −0.132514 | − | 0.751522i | ||||
\(805\) | 36.3386 | − | 20.9801i | 1.28077 | − | 0.739451i | ||||
\(806\) | −27.2262 | − | 15.7190i | −0.959001 | − | 0.553680i | ||||
\(807\) | 53.4348 | + | 19.4487i | 1.88099 | + | 0.684626i | ||||
\(808\) | −5.23285 | + | 14.3771i | −0.184091 | + | 0.505786i | ||||
\(809\) | −46.8523 | − | 27.0502i | −1.64724 | − | 0.951033i | −0.978163 | − | 0.207837i | \(-0.933358\pi\) |
−0.669074 | − | 0.743196i | \(-0.733309\pi\) | |||||||
\(810\) | 47.0442 | + | 81.4830i | 1.65297 | + | 2.86302i | ||||
\(811\) | −8.14999 | − | 46.2209i | −0.286185 | − | 1.62303i | −0.701022 | − | 0.713139i | \(-0.747273\pi\) |
0.414837 | − | 0.909896i | \(-0.363838\pi\) | |||||||
\(812\) | −1.85868 | + | 2.21509i | −0.0652268 | + | 0.0777342i | ||||
\(813\) | 30.7951 | − | 25.8402i | 1.08003 | − | 0.906254i | ||||
\(814\) | 1.18279 | − | 0.951057i | 0.0414566 | − | 0.0333345i | ||||
\(815\) | 37.8724 | − | 13.7844i | 1.32661 | − | 0.482848i | ||||
\(816\) | 15.9740 | 0.559202 | ||||||||
\(817\) | 22.7572 | + | 8.25608i | 0.796175 | + | 0.288844i | ||||
\(818\) | 3.47400 | 0.121466 | ||||||||
\(819\) | −42.1757 | − | 115.877i | −1.47374 | − | 4.04906i | ||||
\(820\) | −3.10401 | + | 17.6037i | −0.108397 | + | 0.614749i | ||||
\(821\) | −3.96687 | − | 4.72753i | −0.138445 | − | 0.164992i | 0.692367 | − | 0.721545i | \(-0.256568\pi\) |
−0.830812 | + | 0.556554i | \(0.812123\pi\) | |||||||
\(822\) | −13.4911 | + | 16.0780i | −0.470555 | + | 0.560785i | ||||
\(823\) | 4.39757 | + | 24.9398i | 0.153290 | + | 0.869348i | 0.960333 | + | 0.278856i | \(0.0899553\pi\) |
−0.807043 | + | 0.590492i | \(0.798934\pi\) | |||||||
\(824\) | 1.79815 | − | 1.03816i | 0.0626414 | − | 0.0361660i | ||||
\(825\) | −57.6658 | + | 19.6335i | −2.00767 | + | 0.683549i | ||||
\(826\) | −26.2345 | − | 9.54859i | −0.912816 | − | 0.332238i | ||||
\(827\) | −16.1905 | − | 5.89286i | −0.562999 | − | 0.204915i | 0.0448135 | − | 0.998995i | \(-0.485731\pi\) |
−0.607813 | + | 0.794080i | \(0.707953\pi\) | |||||||
\(828\) | −14.3849 | + | 24.9153i | −0.499908 | + | 0.865867i | ||||
\(829\) | 18.4059 | − | 10.6267i | 0.639264 | − | 0.369079i | −0.145067 | − | 0.989422i | \(-0.546340\pi\) |
0.784331 | + | 0.620343i | \(0.213006\pi\) | |||||||
\(830\) | −25.5045 | + | 4.49714i | −0.885275 | + | 0.156098i | ||||
\(831\) | −60.7660 | − | 50.9888i | −2.10795 | − | 1.76878i | ||||
\(832\) | −3.42853 | + | 2.87687i | −0.118863 | + | 0.0997377i | ||||
\(833\) | −25.5875 | − | 4.51176i | −0.886553 | − | 0.156323i | ||||
\(834\) | −55.8695 | + | 20.3348i | −1.93460 | + | 0.704138i | ||||
\(835\) | −47.4112 | −1.64073 | ||||||||
\(836\) | 2.79269 | − | 14.1845i | 0.0965871 | − | 0.490582i | ||||
\(837\) | 111.894 | 3.86764 | ||||||||
\(838\) | −24.5599 | + | 8.93906i | −0.848406 | + | 0.308795i | ||||
\(839\) | 15.2655 | + | 2.69172i | 0.527023 | + | 0.0929284i | 0.430828 | − | 0.902434i | \(-0.358222\pi\) |
0.0961952 | + | 0.995362i | \(0.469333\pi\) | |||||||
\(840\) | −28.8324 | + | 24.1932i | −0.994812 | + | 0.834746i | ||||
\(841\) | −21.6969 | − | 18.2058i | −0.748168 | − | 0.627787i | ||||
\(842\) | 36.8997 | − | 6.50642i | 1.27165 | − | 0.224226i | ||||
\(843\) | −64.7797 | + | 37.4006i | −2.23113 | + | 1.28814i | ||||
\(844\) | 2.40529 | − | 4.16609i | 0.0827936 | − | 0.143403i | ||||
\(845\) | 21.4900 | + | 7.82171i | 0.739278 | + | 0.269075i | ||||
\(846\) | −28.8495 | − | 10.5004i | −0.991867 | − | 0.361010i | ||||
\(847\) | −14.7312 | + | 35.7482i | −0.506170 | + | 1.22832i | ||||
\(848\) | 1.07134 | − | 0.618539i | 0.0367900 | − | 0.0212407i | ||||
\(849\) | −14.4354 | − | 81.8669i | −0.495420 | − | 2.80967i | ||||
\(850\) | −17.3999 | + | 20.7364i | −0.596812 | + | 0.711252i | ||||
\(851\) | 1.07960 | + | 1.28661i | 0.0370081 | + | 0.0441046i | ||||
\(852\) | 5.71589 | − | 32.4164i | 0.195823 | − | 1.11057i | ||||
\(853\) | 12.5524 | + | 34.4874i | 0.429786 | + | 1.18083i | 0.945943 | + | 0.324333i | \(0.105140\pi\) |
−0.516157 | + | 0.856494i | \(0.672638\pi\) | |||||||
\(854\) | 7.51423 | 0.257132 | ||||||||
\(855\) | 71.3450 | − | 85.2060i | 2.43995 | − | 2.91398i | ||||
\(856\) | −4.28488 | −0.146454 | ||||||||
\(857\) | −30.1515 | + | 10.9742i | −1.02995 | + | 0.374873i | −0.801064 | − | 0.598579i | \(-0.795732\pi\) |
−0.228891 | + | 0.973452i | \(0.573510\pi\) | |||||||
\(858\) | −38.0846 | + | 30.6231i | −1.30019 | + | 1.04546i | ||||
\(859\) | −23.0097 | + | 19.3075i | −0.785083 | + | 0.658762i | −0.944523 | − | 0.328445i | \(-0.893475\pi\) |
0.159441 | + | 0.987208i | \(0.449031\pi\) | |||||||
\(860\) | −11.6113 | + | 13.8378i | −0.395942 | + | 0.471865i | ||||
\(861\) | 11.0435 | + | 62.6310i | 0.376362 | + | 2.13446i | ||||
\(862\) | 11.4990 | + | 19.9169i | 0.391659 | + | 0.678373i | ||||
\(863\) | 11.7651 | + | 6.79258i | 0.400489 | + | 0.231222i | 0.686695 | − | 0.726946i | \(-0.259061\pi\) |
−0.286206 | + | 0.958168i | \(0.592394\pi\) | |||||||
\(864\) | 5.44826 | − | 14.9690i | 0.185353 | − | 0.509254i | ||||
\(865\) | 9.95992 | + | 3.62511i | 0.338647 | + | 0.123258i | ||||
\(866\) | 17.2377 | + | 9.95217i | 0.585760 | + | 0.338189i | ||||
\(867\) | 18.6538 | − | 10.7698i | 0.633515 | − | 0.365760i | ||||
\(868\) | 4.28738 | + | 24.3149i | 0.145523 | + | 0.825303i | ||||
\(869\) | 12.2006 | − | 1.88922i | 0.413876 | − | 0.0640872i | ||||
\(870\) | 5.66230 | + | 6.74806i | 0.191970 | + | 0.228781i | ||||
\(871\) | 28.9692 | + | 5.10805i | 0.981584 | + | 0.173080i | ||||
\(872\) | −6.28146 | + | 2.28626i | −0.212717 | + | 0.0774227i | ||||
\(873\) | − | 113.746i | − | 3.84972i | ||||||
\(874\) | 15.7582 | + | 2.76164i | 0.533027 | + | 0.0934139i | ||||
\(875\) | − | 6.61877i | − | 0.223755i | ||||||
\(876\) | 8.77680 | − | 3.19450i | 0.296541 | − | 0.107932i | ||||
\(877\) | 4.49462 | − | 25.4903i | 0.151773 | − | 0.860745i | −0.809905 | − | 0.586562i | \(-0.800481\pi\) |
0.961677 | − | 0.274184i | \(-0.0884077\pi\) | |||||||
\(878\) | 10.8407 | − | 9.09641i | 0.365855 | − | 0.306989i | ||||
\(879\) | 41.1474 | − | 49.0376i | 1.38787 | − | 1.65400i | ||||
\(880\) | 9.22738 | + | 5.58783i | 0.311055 | + | 0.188366i | ||||
\(881\) | −19.9344 | − | 34.5274i | −0.671607 | − | 1.16326i | −0.977448 | − | 0.211174i | \(-0.932271\pi\) |
0.305842 | − | 0.952082i | \(-0.401062\pi\) | |||||||
\(882\) | −20.9873 | + | 36.3511i | −0.706679 | + | 1.22400i | ||||
\(883\) | −46.4653 | − | 16.9120i | −1.56368 | − | 0.569133i | −0.592104 | − | 0.805861i | \(-0.701703\pi\) |
−0.971576 | + | 0.236728i | \(0.923925\pi\) | |||||||
\(884\) | −7.42732 | + | 20.4064i | −0.249808 | + | 0.686341i | ||||
\(885\) | −42.5252 | + | 73.6558i | −1.42947 | + | 2.47591i | ||||
\(886\) | 18.7266 | + | 32.4355i | 0.629133 | + | 1.08969i | ||||
\(887\) | 4.69979 | + | 26.6538i | 0.157804 | + | 0.894948i | 0.956178 | + | 0.292787i | \(0.0945826\pi\) |
−0.798374 | + | 0.602162i | \(0.794306\pi\) | |||||||
\(888\) | −1.15408 | − | 0.968391i | −0.0387285 | − | 0.0324971i | ||||
\(889\) | −23.3537 | − | 27.8319i | −0.783258 | − | 0.933451i | ||||
\(890\) | 0.533807 | + | 0.0941245i | 0.0178932 | + | 0.00315506i | ||||
\(891\) | 34.6919 | − | 89.4509i | 1.16222 | − | 2.99672i | ||||
\(892\) | − | 20.3517i | − | 0.681424i | ||||||
\(893\) | 0.0178090 | + | 17.0723i | 0.000595956 | + | 0.571302i | ||||
\(894\) | −22.2875 | −0.745404 | ||||||||
\(895\) | 18.3634 | + | 50.4531i | 0.613822 | + | 1.68646i | ||||
\(896\) | 3.46155 | + | 0.610364i | 0.115642 | + | 0.0203908i | ||||
\(897\) | −34.7620 | − | 41.4277i | −1.16067 | − | 1.38323i | ||||
\(898\) | −17.5781 | + | 20.9487i | −0.586588 | + | 0.699068i | ||||
\(899\) | 5.69078 | − | 1.00344i | 0.189798 | − | 0.0334665i | ||||
\(900\) | 21.8655 | + | 37.8722i | 0.728852 | + | 1.26241i | ||||
\(901\) | 3.00119 | − | 5.19822i | 0.0999842 | − | 0.173178i | ||||
\(902\) | 15.9726 | − | 8.78179i | 0.531829 | − | 0.292402i | ||||
\(903\) | −21.9811 | + | 60.3926i | −0.731485 | + | 2.00974i | ||||
\(904\) | 0.483108 | + | 0.278923i | 0.0160679 | + | 0.00927683i | ||||
\(905\) | 12.6609 | − | 7.30975i | 0.420861 | − | 0.242984i | ||||
\(906\) | 75.6366 | − | 13.3368i | 2.51286 | − | 0.443085i | ||||
\(907\) | 25.7825 | − | 30.7264i | 0.856094 | − | 1.02025i | −0.143438 | − | 0.989659i | \(-0.545816\pi\) |
0.999532 | − | 0.0305938i | \(-0.00973983\pi\) | |||||||
\(908\) | −0.381803 | + | 0.320371i | −0.0126706 | + | 0.0106319i | ||||
\(909\) | 118.107 | + | 20.8255i | 3.91737 | + | 0.690738i | ||||
\(910\) | −17.5003 | − | 48.0817i | −0.580129 | − | 1.59389i | ||||
\(911\) | 47.1893i | 1.56345i | 0.623623 | + | 0.781725i | \(0.285660\pi\) | ||||
−0.623623 | + | 0.781725i | \(0.714340\pi\) | |||||||
\(912\) | −14.3504 | + | 0.0149697i | −0.475188 | + | 0.000495695i | ||||
\(913\) | 19.8707 | + | 17.3942i | 0.657624 | + | 0.575662i | ||||
\(914\) | 2.70948 | + | 7.44423i | 0.0896216 | + | 0.246233i | ||||
\(915\) | 3.97506 | − | 22.5437i | 0.131411 | − | 0.745271i | ||||
\(916\) | 9.49752 | − | 7.96937i | 0.313807 | − | 0.263315i | ||||
\(917\) | −31.4783 | − | 26.4134i | −1.03951 | − | 0.872249i | ||||
\(918\) | −13.4216 | − | 76.1175i | −0.442978 | − | 2.51225i | ||||
\(919\) | −35.3197 | + | 20.3918i | −1.16509 | + | 0.672665i | −0.952518 | − | 0.304481i | \(-0.901517\pi\) |
−0.212571 | + | 0.977146i | \(0.568184\pi\) | |||||||
\(920\) | −5.96882 | + | 10.3383i | −0.196786 | + | 0.340844i | ||||
\(921\) | −14.3417 | + | 39.4036i | −0.472576 | + | 1.29839i | ||||
\(922\) | 5.31479 | − | 14.6023i | 0.175033 | − | 0.480900i | ||||
\(923\) | 38.7535 | + | 22.3744i | 1.27559 | + | 0.736461i | ||||
\(924\) | 37.6491 | + | 7.45325i | 1.23856 | + | 0.245194i | ||||
\(925\) | 2.51420 | − | 0.443322i | 0.0826665 | − | 0.0145763i | ||||
\(926\) | −7.64081 | − | 6.41140i | −0.251093 | − | 0.210692i | ||||
\(927\) | −10.4617 | − | 12.4677i | −0.343606 | − | 0.409494i | ||||
\(928\) | 0.142852 | − | 0.810156i | 0.00468936 | − | 0.0265947i | ||||
\(929\) | 21.4527 | − | 7.80814i | 0.703840 | − | 0.256177i | 0.0347904 | − | 0.999395i | \(-0.488924\pi\) |
0.669049 | + | 0.743218i | \(0.266701\pi\) | |||||||
\(930\) | 75.2160 | 2.46643 | ||||||||
\(931\) | 22.9909 | + | 4.02920i | 0.753497 | + | 0.132052i | ||||
\(932\) | 17.0766i | 0.559364i | ||||||||
\(933\) | −16.4430 | − | 45.1767i | −0.538319 | − | 1.47902i | ||||
\(934\) | 5.06616 | − | 28.7316i | 0.165770 | − | 0.940128i | ||||
\(935\) | 52.3299 | + | 1.09420i | 1.71137 | + | 0.0357840i | ||||
\(936\) | 26.8748 | + | 22.5507i | 0.878431 | + | 0.737091i | ||||
\(937\) | −11.8657 | + | 2.09224i | −0.387636 | + | 0.0683506i | −0.364070 | − | 0.931372i | \(-0.618613\pi\) |
−0.0235659 | + | 0.999722i | \(0.507502\pi\) | |||||||
\(938\) | −11.5510 | − | 20.0070i | −0.377154 | − | 0.653250i | ||||
\(939\) | 11.8731 | + | 6.85496i | 0.387465 | + | 0.223703i | ||||
\(940\) | −11.9708 | − | 4.35700i | −0.390443 | − | 0.142110i | ||||
\(941\) | 1.93595 | + | 0.704628i | 0.0631101 | + | 0.0229702i | 0.373382 | − | 0.927678i | \(-0.378198\pi\) |
−0.310272 | + | 0.950648i | \(0.600420\pi\) | |||||||
\(942\) | −36.3726 | − | 20.9997i | −1.18508 | − | 0.684208i | ||||
\(943\) | 10.0855 | + | 17.4687i | 0.328431 | + | 0.568858i | ||||
\(944\) | 7.82204 | − | 1.37924i | 0.254586 | − | 0.0448903i | ||||
\(945\) | 139.508 | + | 117.061i | 4.53820 | + | 3.80801i | ||||
\(946\) | 18.4159 | + | 0.385069i | 0.598753 | + | 0.0125197i | ||||
\(947\) | 1.80074 | − | 10.2125i | 0.0585161 | − | 0.331861i | −0.941470 | − | 0.337096i | \(-0.890555\pi\) |
0.999986 | + | 0.00523504i | \(0.00166637\pi\) | |||||||
\(948\) | −4.19148 | − | 11.5160i | −0.136133 | − | 0.374022i | ||||
\(949\) | 12.6975i | 0.412178i | ||||||||
\(950\) | 15.6119 | − | 18.6450i | 0.506517 | − | 0.604924i | ||||
\(951\) | 34.4413 | 1.11684 | ||||||||
\(952\) | 16.0262 | − | 5.83308i | 0.519414 | − | 0.189051i | ||||
\(953\) | 0.235521 | − | 1.33571i | 0.00762929 | − | 0.0432678i | −0.980755 | − | 0.195240i | \(-0.937451\pi\) |
0.988385 | + | 0.151972i | \(0.0485625\pi\) | |||||||
\(954\) | −6.23308 | − | 7.42829i | −0.201803 | − | 0.240500i | ||||
\(955\) | −45.5435 | − | 38.2156i | −1.47375 | − | 1.23663i | ||||
\(956\) | −6.07184 | + | 1.07063i | −0.196377 | + | 0.0346266i | ||||
\(957\) | 1.74439 | − | 8.81156i | 0.0563882 | − | 0.284837i | ||||
\(958\) | 33.1229 | + | 19.1235i | 1.07015 | + | 0.617852i | ||||
\(959\) | −7.66413 | + | 21.0570i | −0.247488 | + | 0.679967i | ||||
\(960\) | 3.66235 | − | 10.0622i | 0.118202 | − | 0.324757i | ||||
\(961\) | 9.17035 | − | 15.8835i | 0.295818 | − | 0.512371i | ||||
\(962\) | 1.77370 | − | 1.02405i | 0.0571865 | − | 0.0330166i | ||||
\(963\) | 5.83240 | + | 33.0772i | 0.187947 | + | 1.06590i | ||||
\(964\) | −10.0096 | − | 8.39908i | −0.322388 | − | 0.270516i | ||||
\(965\) | −38.7811 | + | 32.5412i | −1.24841 | + | 1.04754i | ||||
\(966\) | −7.37519 | + | 41.8268i | −0.237293 | + | 1.34575i | ||||
\(967\) | 13.0097 | + | 35.7439i | 0.418365 | + | 1.14945i | 0.952630 | + | 0.304131i | \(0.0983660\pi\) |
−0.534265 | + | 0.845317i | \(0.679412\pi\) | |||||||
\(968\) | −1.45564 | − | 10.9033i | −0.0467859 | − | 0.350444i | ||||
\(969\) | −60.2642 | + | 34.8774i | −1.93596 | + | 1.12042i | ||||
\(970\) | − | 47.1975i | − | 1.51542i | ||||||
\(971\) | −5.47322 | − | 15.0375i | −0.175644 | − | 0.482578i | 0.820364 | − | 0.571842i | \(-0.193771\pi\) |
−0.996008 | + | 0.0892639i | \(0.971549\pi\) | |||||||
\(972\) | −46.7264 | − | 8.23913i | −1.49875 | − | 0.264270i | ||||
\(973\) | −48.6268 | + | 40.8027i | −1.55890 | + | 1.30808i | ||||
\(974\) | 1.70196 | − | 2.02832i | 0.0545345 | − | 0.0649916i | ||||
\(975\) | −80.9550 | + | 14.2745i | −2.59263 | + | 0.457151i | ||||
\(976\) | −1.85138 | + | 1.06890i | −0.0592613 | + | 0.0342145i | ||||
\(977\) | −30.3259 | − | 17.5086i | −0.970210 | − | 0.560151i | −0.0709098 | − | 0.997483i | \(-0.522590\pi\) |
−0.899300 | + | 0.437332i | \(0.855924\pi\) | |||||||
\(978\) | −13.9526 | + | 38.3344i | −0.446154 | + | 1.22580i | ||||
\(979\) | −0.266295 | − | 0.484345i | −0.00851081 | − | 0.0154797i | ||||
\(980\) | −8.70843 | + | 15.0834i | −0.278180 | + | 0.481823i | ||||
\(981\) | 26.1989 | + | 45.3778i | 0.836466 | + | 1.44880i | ||||
\(982\) | 4.24422 | − | 0.748370i | 0.135438 | − | 0.0238814i | ||||
\(983\) | −6.21020 | + | 7.40103i | −0.198075 | + | 0.236056i | −0.855935 | − | 0.517084i | \(-0.827017\pi\) |
0.657860 | + | 0.753140i | \(0.271462\pi\) | |||||||
\(984\) | −11.6302 | − | 13.8603i | −0.370756 | − | 0.441850i | ||||
\(985\) | −14.5805 | − | 2.57093i | −0.464572 | − | 0.0819165i | ||||
\(986\) | −1.36520 | − | 3.75086i | −0.0434768 | − | 0.119452i | ||||
\(987\) | −45.3231 | −1.44265 | ||||||||
\(988\) | 6.65327 | − | 18.3392i | 0.211669 | − | 0.583448i | ||||
\(989\) | 20.3840i | 0.648174i | ||||||||
\(990\) | 30.5754 | − | 78.8368i | 0.971749 | − | 2.50560i | ||||
\(991\) | 50.3287 | + | 8.87430i | 1.59874 | + | 0.281901i | 0.900794 | − | 0.434246i | \(-0.142985\pi\) |
0.697949 | + | 0.716148i | \(0.254096\pi\) | |||||||
\(992\) | −4.51513 | − | 5.38092i | −0.143355 | − | 0.170844i | ||||
\(993\) | 43.4136 | + | 36.4284i | 1.37769 | + | 1.15602i | ||||
\(994\) | −6.10262 | − | 34.6097i | −0.193563 | − | 1.09775i | ||||
\(995\) | 13.0987 | + | 22.6877i | 0.415258 | + | 0.719248i | ||||
\(996\) | 13.1069 | − | 22.7019i | 0.415309 | − | 0.719337i | ||||
\(997\) | 19.2430 | − | 52.8697i | 0.609432 | − | 1.67440i | −0.122035 | − | 0.992526i | \(-0.538942\pi\) |
0.731468 | − | 0.681876i | \(-0.238836\pi\) | |||||||
\(998\) | 15.1014 | + | 5.49645i | 0.478025 | + | 0.173987i | ||||
\(999\) | −3.64479 | + | 6.31296i | −0.115316 | + | 0.199733i |
(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 | 418.2.q.b.109.1 | yes | 60 | |
11.10 | odd | 2 | 418.2.q.a.109.1 | ✓ | 60 | ||
19.15 | odd | 18 | 418.2.q.a.395.1 | yes | 60 | ||
209.186 | even | 18 | inner | 418.2.q.b.395.1 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.q.a.109.1 | ✓ | 60 | 11.10 | odd | 2 | ||
418.2.q.a.395.1 | yes | 60 | 19.15 | odd | 18 | ||
418.2.q.b.109.1 | yes | 60 | 1.1 | even | 1 | trivial | |
418.2.q.b.395.1 | yes | 60 | 209.186 | even | 18 | inner |