Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,2,Mod(14,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.x (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: | \(1.36544187456\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 110.18 | ||
Character | \(\chi\) | \(=\) | 171.110 |
Dual form | 171.2.x.a.14.18 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.98591 | − | 1.66638i | 1.40425 | − | 1.17831i | 0.445074 | − | 0.895494i | \(-0.353177\pi\) |
0.959176 | − | 0.282811i | \(-0.0912670\pi\) | |||||||
\(3\) | −0.713953 | − | 1.57806i | −0.412201 | − | 0.911093i | ||||
\(4\) | 0.819730 | − | 4.64892i | 0.409865 | − | 2.32446i | ||||
\(5\) | −0.441857 | + | 1.21399i | −0.197605 | + | 0.542914i | −0.998432 | − | 0.0559812i | \(-0.982171\pi\) |
0.800827 | + | 0.598896i | \(0.204394\pi\) | |||||||
\(6\) | −4.04748 | − | 1.94417i | −1.65238 | − | 0.793703i | ||||
\(7\) | 2.16209 | + | 3.74485i | 0.817194 | + | 1.41542i | 0.907742 | + | 0.419530i | \(0.137805\pi\) |
−0.0905476 | + | 0.995892i | \(0.528862\pi\) | |||||||
\(8\) | −3.52652 | − | 6.10811i | −1.24681 | − | 2.15954i | ||||
\(9\) | −1.98054 | + | 2.25332i | −0.660181 | + | 0.751107i | ||||
\(10\) | 1.14548 | + | 3.14718i | 0.362233 | + | 0.995226i | ||||
\(11\) | 2.72739i | 0.822340i | 0.911559 | + | 0.411170i | \(0.134880\pi\) | ||||
−0.911559 | + | 0.411170i | \(0.865120\pi\) | |||||||
\(12\) | −7.92152 | + | 2.02553i | −2.28675 | + | 0.584720i | ||||
\(13\) | −1.29564 | − | 3.55975i | −0.359346 | − | 0.987296i | −0.979257 | − | 0.202624i | \(-0.935053\pi\) |
0.619910 | − | 0.784673i | \(-0.287169\pi\) | |||||||
\(14\) | 10.5340 | + | 3.83408i | 2.81534 | + | 1.02470i | ||||
\(15\) | 2.23122 | − | 0.169457i | 0.576098 | − | 0.0437536i | ||||
\(16\) | −8.30984 | − | 3.02454i | −2.07746 | − | 0.756134i | ||||
\(17\) | 0.00982639 | − | 0.0269978i | 0.00238325 | − | 0.00654792i | −0.938495 | − | 0.345292i | \(-0.887780\pi\) |
0.940879 | + | 0.338744i | \(0.110002\pi\) | |||||||
\(18\) | −0.178298 | + | 7.77521i | −0.0420252 | + | 1.83264i | ||||
\(19\) | −0.236219 | − | 4.35249i | −0.0541923 | − | 0.998531i | ||||
\(20\) | 5.28156 | + | 3.04931i | 1.18099 | + | 0.681846i | ||||
\(21\) | 4.36597 | − | 6.08556i | 0.952732 | − | 1.32798i | ||||
\(22\) | 4.54486 | + | 5.41635i | 0.968967 | + | 1.15477i | ||||
\(23\) | −5.97773 | − | 1.05404i | −1.24644 | − | 0.219782i | −0.488768 | − | 0.872414i | \(-0.662554\pi\) |
−0.757675 | + | 0.652632i | \(0.773665\pi\) | |||||||
\(24\) | −7.12119 | + | 9.92596i | −1.45361 | + | 2.02613i | ||||
\(25\) | 2.55168 | + | 2.14111i | 0.510336 | + | 0.428223i | ||||
\(26\) | −8.50490 | − | 4.91031i | −1.66795 | − | 0.962991i | ||||
\(27\) | 4.96989 | + | 1.51665i | 0.956455 | + | 0.291879i | ||||
\(28\) | 19.1819 | − | 6.98163i | 3.62503 | − | 1.31940i | ||||
\(29\) | −0.592237 | + | 3.35874i | −0.109976 | + | 0.623703i | 0.879140 | + | 0.476563i | \(0.158118\pi\) |
−0.989116 | + | 0.147139i | \(0.952993\pi\) | |||||||
\(30\) | 4.14862 | − | 4.05457i | 0.757431 | − | 0.740261i | ||||
\(31\) | − | 3.60284i | − | 0.647090i | −0.946213 | − | 0.323545i | \(-0.895125\pi\) | ||
0.946213 | − | 0.323545i | \(-0.104875\pi\) | |||||||
\(32\) | −8.28723 | + | 3.01630i | −1.46499 | + | 0.533212i | ||||
\(33\) | 4.30399 | − | 1.94723i | 0.749228 | − | 0.338969i | ||||
\(34\) | −0.0254741 | − | 0.0699895i | −0.00436877 | − | 0.0120031i | ||||
\(35\) | −5.50156 | + | 0.970074i | −0.929934 | + | 0.163972i | ||||
\(36\) | 8.85200 | + | 11.0545i | 1.47533 | + | 1.84242i | ||||
\(37\) | 7.25611i | 1.19290i | 0.802651 | + | 0.596449i | \(0.203422\pi\) | ||||
−0.802651 | + | 0.596449i | \(0.796578\pi\) | |||||||
\(38\) | −7.72200 | − | 8.25003i | −1.25267 | − | 1.33833i | ||||
\(39\) | −4.69247 | + | 4.58609i | −0.751396 | + | 0.734363i | ||||
\(40\) | 8.97342 | − | 1.58226i | 1.41882 | − | 0.250177i | ||||
\(41\) | −2.90246 | + | 2.43545i | −0.453288 | + | 0.380354i | −0.840654 | − | 0.541572i | \(-0.817829\pi\) |
0.387366 | + | 0.921926i | \(0.373385\pi\) | |||||||
\(42\) | −1.47041 | − | 19.3607i | −0.226889 | − | 2.98742i | ||||
\(43\) | −0.543785 | − | 3.08396i | −0.0829264 | − | 0.470299i | −0.997785 | − | 0.0665241i | \(-0.978809\pi\) |
0.914858 | − | 0.403775i | \(-0.132302\pi\) | |||||||
\(44\) | 12.6794 | + | 2.23573i | 1.91150 | + | 0.337049i | ||||
\(45\) | −1.86040 | − | 3.40001i | −0.277332 | − | 0.506844i | ||||
\(46\) | −13.6276 | + | 7.86792i | −2.00929 | + | 1.16006i | ||||
\(47\) | −7.07838 | − | 1.24811i | −1.03249 | − | 0.182055i | −0.368367 | − | 0.929681i | \(-0.620083\pi\) |
−0.664121 | + | 0.747625i | \(0.731194\pi\) | |||||||
\(48\) | 1.15994 | + | 15.2728i | 0.167423 | + | 2.20444i | ||||
\(49\) | −5.84929 | + | 10.1313i | −0.835612 | + | 1.44732i | ||||
\(50\) | 8.63530 | 1.22122 | ||||||||
\(51\) | −0.0496197 | + | 0.00376852i | −0.00694814 | + | 0.000527699i | ||||
\(52\) | −17.6111 | + | 3.10531i | −2.44222 | + | 0.430628i | ||||
\(53\) | 4.24644 | + | 3.56319i | 0.583294 | + | 0.489441i | 0.886027 | − | 0.463634i | \(-0.153455\pi\) |
−0.302733 | + | 0.953075i | \(0.597899\pi\) | |||||||
\(54\) | 12.3970 | − | 5.26977i | 1.68702 | − | 0.717125i | ||||
\(55\) | −3.31104 | − | 1.20512i | −0.446460 | − | 0.162498i | ||||
\(56\) | 15.2493 | − | 26.4126i | 2.03778 | − | 3.52953i | ||||
\(57\) | −6.69984 | + | 3.48024i | −0.887416 | + | 0.460969i | ||||
\(58\) | 4.42079 | + | 7.65704i | 0.580479 | + | 1.00542i | ||||
\(59\) | −1.88476 | − | 10.6890i | −0.245375 | − | 1.39159i | −0.819621 | − | 0.572906i | \(-0.805816\pi\) |
0.574246 | − | 0.818682i | \(-0.305295\pi\) | |||||||
\(60\) | 1.04121 | − | 10.5117i | 0.134419 | − | 1.35705i | ||||
\(61\) | 9.95358 | − | 3.62281i | 1.27443 | − | 0.463853i | 0.385841 | − | 0.922565i | \(-0.373911\pi\) |
0.888585 | + | 0.458713i | \(0.151689\pi\) | |||||||
\(62\) | −6.00369 | − | 7.15492i | −0.762469 | − | 0.908675i | ||||
\(63\) | −12.7205 | − | 2.54495i | −1.60263 | − | 0.320634i | ||||
\(64\) | −2.58823 | + | 4.48295i | −0.323529 | + | 0.560369i | ||||
\(65\) | 4.89400 | 0.607026 | ||||||||
\(66\) | 5.30251 | − | 11.0391i | 0.652694 | − | 1.35882i | ||||
\(67\) | 6.64377 | − | 7.91773i | 0.811665 | − | 0.967305i | −0.188225 | − | 0.982126i | \(-0.560273\pi\) |
0.999890 | + | 0.0148211i | \(0.00471789\pi\) | |||||||
\(68\) | −0.117456 | − | 0.0678130i | −0.0142436 | − | 0.00822353i | ||||
\(69\) | 2.60449 | + | 10.1857i | 0.313544 | + | 1.22622i | ||||
\(70\) | −9.30910 | + | 11.0941i | −1.11265 | + | 1.32600i | ||||
\(71\) | −4.93124 | + | 4.13780i | −0.585231 | + | 0.491067i | −0.886660 | − | 0.462422i | \(-0.846981\pi\) |
0.301430 | + | 0.953488i | \(0.402536\pi\) | |||||||
\(72\) | 20.7479 | + | 4.15099i | 2.44517 | + | 0.489199i | ||||
\(73\) | 1.86766 | + | 10.5920i | 0.218594 | + | 1.23971i | 0.874561 | + | 0.484916i | \(0.161150\pi\) |
−0.655967 | + | 0.754789i | \(0.727739\pi\) | |||||||
\(74\) | 12.0914 | + | 14.4100i | 1.40560 | + | 1.67513i | ||||
\(75\) | 1.55702 | − | 5.55536i | 0.179790 | − | 0.641477i | ||||
\(76\) | −20.4280 | − | 2.46971i | −2.34326 | − | 0.283295i | ||||
\(77\) | −10.2137 | + | 5.89688i | −1.16396 | + | 0.672011i | ||||
\(78\) | −1.67665 | + | 16.9270i | −0.189844 | + | 1.91660i | ||||
\(79\) | −1.76903 | + | 4.86037i | −0.199032 | + | 0.546835i | −0.998551 | − | 0.0538048i | \(-0.982865\pi\) |
0.799520 | + | 0.600640i | \(0.205087\pi\) | |||||||
\(80\) | 7.34353 | − | 8.75168i | 0.821032 | − | 0.978468i | ||||
\(81\) | −1.15491 | − | 8.92559i | −0.128323 | − | 0.991732i | ||||
\(82\) | −1.70564 | + | 9.67318i | −0.188357 | + | 1.06822i | ||||
\(83\) | −7.70527 | + | 4.44864i | −0.845764 | + | 0.488302i | −0.859219 | − | 0.511608i | \(-0.829050\pi\) |
0.0134556 | + | 0.999909i | \(0.495717\pi\) | |||||||
\(84\) | −24.7124 | − | 25.2856i | −2.69634 | − | 2.75888i | ||||
\(85\) | 0.0284333 | + | 0.0238583i | 0.00308402 | + | 0.00258780i | ||||
\(86\) | −6.21893 | − | 5.21830i | −0.670605 | − | 0.562704i | ||||
\(87\) | 5.72312 | − | 1.46340i | 0.613583 | − | 0.156893i | ||||
\(88\) | 16.6592 | − | 9.61820i | 1.77588 | − | 1.02530i | ||||
\(89\) | 1.81456 | − | 10.2909i | 0.192343 | − | 1.09083i | −0.723809 | − | 0.690000i | \(-0.757610\pi\) |
0.916152 | − | 0.400831i | \(-0.131278\pi\) | |||||||
\(90\) | −9.36028 | − | 3.65199i | −0.986660 | − | 0.384953i | ||||
\(91\) | 10.5294 | − | 12.5485i | 1.10378 | − | 1.31544i | ||||
\(92\) | −9.80025 | + | 26.9260i | −1.02175 | + | 2.80723i | ||||
\(93\) | −5.68550 | + | 2.57226i | −0.589559 | + | 0.266731i | ||||
\(94\) | −16.1368 | + | 9.31660i | −1.66439 | + | 0.960934i | ||||
\(95\) | 5.38827 | + | 1.63641i | 0.552825 | + | 0.167893i | ||||
\(96\) | 10.6766 | + | 10.9242i | 1.08968 | + | 1.11495i | ||||
\(97\) | −0.845099 | − | 1.00715i | −0.0858068 | − | 0.102261i | 0.721433 | − | 0.692484i | \(-0.243484\pi\) |
−0.807240 | + | 0.590224i | \(0.799039\pi\) | |||||||
\(98\) | 5.26633 | + | 29.8669i | 0.531980 | + | 3.01701i | ||||
\(99\) | −6.14569 | − | 5.40172i | −0.617665 | − | 0.542893i | ||||
\(100\) | 12.0456 | − | 10.1074i | 1.20456 | − | 1.01074i | ||||
\(101\) | 4.16514 | − | 4.96382i | 0.414447 | − | 0.493919i | −0.517921 | − | 0.855428i | \(-0.673294\pi\) |
0.932368 | + | 0.361509i | \(0.117738\pi\) | |||||||
\(102\) | −0.0922603 | + | 0.0901689i | −0.00913513 | + | 0.00892805i | ||||
\(103\) | −2.00847 | − | 1.15959i | −0.197900 | − | 0.114258i | 0.397775 | − | 0.917483i | \(-0.369782\pi\) |
−0.595676 | + | 0.803225i | \(0.703116\pi\) | |||||||
\(104\) | −17.1742 | + | 20.4674i | −1.68407 | + | 2.00700i | ||||
\(105\) | 5.45869 | + | 7.98921i | 0.532714 | + | 0.779667i | ||||
\(106\) | 14.3707 | 1.39580 | ||||||||
\(107\) | 1.78213 | − | 3.08674i | 0.172285 | − | 0.298407i | −0.766933 | − | 0.641727i | \(-0.778218\pi\) |
0.939218 | + | 0.343320i | \(0.111552\pi\) | |||||||
\(108\) | 11.1247 | − | 21.8614i | 1.07048 | − | 2.10361i | ||||
\(109\) | −6.67411 | − | 7.95389i | −0.639264 | − | 0.761845i | 0.344990 | − | 0.938606i | \(-0.387882\pi\) |
−0.984254 | + | 0.176762i | \(0.943438\pi\) | |||||||
\(110\) | −8.58360 | + | 3.12417i | −0.818414 | + | 0.297878i | ||||
\(111\) | 11.4506 | − | 5.18052i | 1.08684 | − | 0.491713i | ||||
\(112\) | −6.64021 | − | 37.6585i | −0.627440 | − | 3.55839i | ||||
\(113\) | −3.03502 | − | 5.25681i | −0.285511 | − | 0.494519i | 0.687222 | − | 0.726447i | \(-0.258830\pi\) |
−0.972733 | + | 0.231928i | \(0.925497\pi\) | |||||||
\(114\) | −7.50589 | + | 18.0759i | −0.702991 | + | 1.69296i | ||||
\(115\) | 3.92090 | − | 6.79119i | 0.365626 | − | 0.633282i | ||||
\(116\) | 15.1290 | + | 5.50652i | 1.40470 | + | 0.511268i | ||||
\(117\) | 10.5873 | + | 4.13073i | 0.978799 | + | 0.381886i | ||||
\(118\) | −21.5548 | − | 18.0867i | −1.98428 | − | 1.66501i | ||||
\(119\) | 0.122348 | − | 0.0215733i | 0.0112156 | − | 0.00197762i | ||||
\(120\) | −8.90350 | − | 13.0309i | −0.812774 | − | 1.18956i | ||||
\(121\) | 3.56133 | 0.323757 | ||||||||
\(122\) | 13.7299 | − | 23.7810i | 1.24305 | − | 2.15303i | ||||
\(123\) | 5.91551 | + | 2.84146i | 0.533384 | + | 0.256205i | ||||
\(124\) | −16.7493 | − | 2.95336i | −1.50413 | − | 0.265220i | ||||
\(125\) | −9.32089 | + | 5.38142i | −0.833686 | + | 0.481329i | ||||
\(126\) | −29.5025 | + | 16.1430i | −2.62829 | + | 1.43814i | ||||
\(127\) | −8.19409 | − | 1.44484i | −0.727108 | − | 0.128209i | −0.202171 | − | 0.979350i | \(-0.564800\pi\) |
−0.524936 | + | 0.851141i | \(0.675911\pi\) | |||||||
\(128\) | −0.732553 | − | 4.15451i | −0.0647491 | − | 0.367210i | ||||
\(129\) | −4.47843 | + | 3.05992i | −0.394304 | + | 0.269411i | ||||
\(130\) | 9.71904 | − | 8.15524i | 0.852416 | − | 0.715262i | ||||
\(131\) | 8.01027 | − | 1.41243i | 0.699861 | − | 0.123404i | 0.187614 | − | 0.982243i | \(-0.439925\pi\) |
0.512246 | + | 0.858838i | \(0.328813\pi\) | |||||||
\(132\) | −5.52441 | − | 21.6051i | −0.480839 | − | 1.88048i | ||||
\(133\) | 15.7887 | − | 10.2951i | 1.36906 | − | 0.892698i | ||||
\(134\) | − | 26.7949i | − | 2.31473i | ||||||
\(135\) | −4.03718 | + | 5.36327i | −0.347465 | + | 0.461597i | ||||
\(136\) | −0.199558 | + | 0.0351875i | −0.0171120 | + | 0.00301730i | ||||
\(137\) | −0.0328638 | − | 0.0902926i | −0.00280775 | − | 0.00771422i | 0.938281 | − | 0.345874i | \(-0.112418\pi\) |
−0.941089 | + | 0.338160i | \(0.890195\pi\) | |||||||
\(138\) | 22.1456 | + | 15.8879i | 1.88515 | + | 1.35247i | ||||
\(139\) | −5.47885 | + | 1.99414i | −0.464710 | + | 0.169141i | −0.563754 | − | 0.825942i | \(-0.690644\pi\) |
0.0990447 | + | 0.995083i | \(0.468421\pi\) | |||||||
\(140\) | 26.3715i | 2.22880i | ||||||||
\(141\) | 3.08404 | + | 12.0612i | 0.259723 | + | 1.01574i | ||||
\(142\) | −2.89786 | + | 16.4346i | −0.243183 | + | 1.37916i | ||||
\(143\) | 9.70883 | − | 3.53373i | 0.811893 | − | 0.295505i | ||||
\(144\) | 23.2732 | − | 12.7345i | 1.93944 | − | 1.06121i | ||||
\(145\) | −3.81581 | − | 2.20306i | −0.316885 | − | 0.182954i | ||||
\(146\) | 21.3593 | + | 17.9226i | 1.76771 | + | 1.48329i | ||||
\(147\) | 20.1638 | + | 1.99727i | 1.66309 | + | 0.164732i | ||||
\(148\) | 33.7331 | + | 5.94805i | 2.77284 | + | 0.488927i | ||||
\(149\) | 9.25428 | + | 11.0288i | 0.758140 | + | 0.903516i | 0.997729 | − | 0.0673582i | \(-0.0214570\pi\) |
−0.239589 | + | 0.970874i | \(0.577013\pi\) | |||||||
\(150\) | −6.16520 | − | 13.6270i | −0.503387 | − | 1.11264i | ||||
\(151\) | 5.57364 | + | 3.21795i | 0.453577 | + | 0.261873i | 0.709340 | − | 0.704867i | \(-0.248993\pi\) |
−0.255763 | + | 0.966740i | \(0.582327\pi\) | |||||||
\(152\) | −25.7525 | + | 16.7920i | −2.08880 | + | 1.36201i | ||||
\(153\) | 0.0413731 | + | 0.0756122i | 0.00334481 | + | 0.00611289i | ||||
\(154\) | −10.4570 | + | 28.7305i | −0.842653 | + | 2.31517i | ||||
\(155\) | 4.37383 | + | 1.59194i | 0.351314 | + | 0.127868i | ||||
\(156\) | 17.4738 | + | 25.5743i | 1.39903 | + | 2.04758i | ||||
\(157\) | −9.72532 | − | 3.53973i | −0.776165 | − | 0.282501i | −0.0765925 | − | 0.997062i | \(-0.524404\pi\) |
−0.699573 | + | 0.714561i | \(0.746626\pi\) | |||||||
\(158\) | 4.58607 | + | 12.6001i | 0.364848 | + | 1.00241i | ||||
\(159\) | 2.59116 | − | 9.24508i | 0.205492 | − | 0.733183i | ||||
\(160\) | − | 11.3934i | − | 0.900729i | ||||||
\(161\) | −8.97720 | − | 24.6646i | −0.707502 | − | 1.94385i | ||||
\(162\) | −17.1669 | − | 15.8009i | −1.34876 | − | 1.24144i | ||||
\(163\) | −11.0009 | − | 19.0541i | −0.861656 | − | 1.49243i | −0.870330 | − | 0.492469i | \(-0.836094\pi\) |
0.00867379 | − | 0.999962i | \(-0.497239\pi\) | |||||||
\(164\) | 8.94300 | + | 15.4897i | 0.698331 | + | 1.20954i | ||||
\(165\) | 0.462176 | + | 6.08541i | 0.0359804 | + | 0.473749i | ||||
\(166\) | −7.88886 | + | 21.6745i | −0.612294 | + | 1.68227i | ||||
\(167\) | −2.85499 | + | 16.1915i | −0.220926 | + | 1.25293i | 0.649396 | + | 0.760450i | \(0.275022\pi\) |
−0.870322 | + | 0.492483i | \(0.836089\pi\) | |||||||
\(168\) | −52.5679 | − | 5.20697i | −4.05570 | − | 0.401727i | ||||
\(169\) | −1.03454 | + | 0.868080i | −0.0795798 | + | 0.0667754i | ||||
\(170\) | 0.0962228 | 0.00737995 | ||||||||
\(171\) | 10.2754 | + | 8.08802i | 0.785780 | + | 0.618506i | ||||
\(172\) | −14.7828 | −1.12718 | ||||||||
\(173\) | 3.46225 | − | 2.90517i | 0.263230 | − | 0.220876i | −0.501614 | − | 0.865091i | \(-0.667260\pi\) |
0.764844 | + | 0.644215i | \(0.222816\pi\) | |||||||
\(174\) | 8.92702 | − | 12.4430i | 0.676756 | − | 0.943305i | ||||
\(175\) | −2.50119 | + | 14.1850i | −0.189072 | + | 1.07228i | ||||
\(176\) | 8.24910 | − | 22.6642i | 0.621799 | − | 1.70838i | ||||
\(177\) | −15.5222 | + | 10.6057i | −1.16672 | + | 0.797173i | ||||
\(178\) | −13.5449 | − | 23.4605i | −1.01523 | − | 1.75844i | ||||
\(179\) | 10.6821 | + | 18.5019i | 0.798416 | + | 1.38290i | 0.920647 | + | 0.390396i | \(0.127662\pi\) |
−0.122231 | + | 0.992502i | \(0.539005\pi\) | |||||||
\(180\) | −17.3314 | + | 5.86176i | −1.29181 | + | 0.436910i | ||||
\(181\) | 5.74059 | + | 15.7721i | 0.426694 | + | 1.17233i | 0.947807 | + | 0.318845i | \(0.103295\pi\) |
−0.521112 | + | 0.853488i | \(0.674483\pi\) | |||||||
\(182\) | − | 42.4662i | − | 3.14780i | ||||||
\(183\) | −12.8234 | − | 13.1208i | −0.947933 | − | 0.969919i | ||||
\(184\) | 14.6424 | + | 40.2297i | 1.07945 | + | 2.96577i | ||||
\(185\) | −8.80887 | − | 3.20617i | −0.647641 | − | 0.235722i | ||||
\(186\) | −7.00453 | + | 14.5825i | −0.513597 | + | 1.06924i | ||||
\(187\) | 0.0736335 | + | 0.0268004i | 0.00538462 | + | 0.00195984i | ||||
\(188\) | −11.6047 | + | 31.8837i | −0.846361 | + | 2.32536i | ||||
\(189\) | 5.06573 | + | 21.8906i | 0.368478 | + | 1.59231i | ||||
\(190\) | 13.4275 | − | 5.72912i | 0.974133 | − | 0.415634i | ||||
\(191\) | 8.37143 | + | 4.83325i | 0.605735 | + | 0.349721i | 0.771295 | − | 0.636478i | \(-0.219610\pi\) |
−0.165559 | + | 0.986200i | \(0.552943\pi\) | |||||||
\(192\) | 8.92224 | + | 0.883768i | 0.643907 | + | 0.0637805i | ||||
\(193\) | 0.763130 | + | 0.909463i | 0.0549313 | + | 0.0654646i | 0.792810 | − | 0.609468i | \(-0.208617\pi\) |
−0.737879 | + | 0.674933i | \(0.764173\pi\) | |||||||
\(194\) | −3.35658 | − | 0.591855i | −0.240988 | − | 0.0424927i | ||||
\(195\) | −3.49409 | − | 7.72302i | −0.250217 | − | 0.553057i | ||||
\(196\) | 42.3046 | + | 35.4978i | 3.02176 | + | 2.53556i | ||||
\(197\) | 16.1719 | + | 9.33685i | 1.15220 | + | 0.665223i | 0.949422 | − | 0.314002i | \(-0.101670\pi\) |
0.202777 | + | 0.979225i | \(0.435003\pi\) | |||||||
\(198\) | −21.2061 | − | 0.486288i | −1.50705 | − | 0.0345590i | ||||
\(199\) | 4.69515 | − | 1.70889i | 0.332830 | − | 0.121140i | −0.170199 | − | 0.985410i | \(-0.554441\pi\) |
0.503029 | + | 0.864269i | \(0.332219\pi\) | |||||||
\(200\) | 4.07961 | − | 23.1366i | 0.288472 | − | 1.63601i | ||||
\(201\) | −17.2380 | − | 4.83137i | −1.21587 | − | 0.340778i | ||||
\(202\) | − | 16.7984i | − | 1.18193i | ||||||
\(203\) | −13.8585 | + | 5.04407i | −0.972673 | + | 0.354024i | ||||
\(204\) | −0.0231552 | + | 0.233767i | −0.00162119 | + | 0.0163670i | ||||
\(205\) | −1.67415 | − | 4.59969i | −0.116928 | − | 0.321257i | ||||
\(206\) | −5.92095 | + | 1.04402i | −0.412532 | + | 0.0727405i | ||||
\(207\) | 14.2142 | − | 11.3822i | 0.987957 | − | 0.791116i | ||||
\(208\) | 33.4997i | 2.32278i | ||||||||
\(209\) | 11.8710 | − | 0.644261i | 0.821132 | − | 0.0445645i | ||||
\(210\) | 24.1535 | + | 6.76960i | 1.66675 | + | 0.467147i | ||||
\(211\) | −6.83543 | + | 1.20527i | −0.470571 | + | 0.0829743i | −0.403905 | − | 0.914801i | \(-0.632347\pi\) |
−0.0666660 | + | 0.997775i | \(0.521236\pi\) | |||||||
\(212\) | 20.0459 | − | 16.8205i | 1.37676 | − | 1.15524i | ||||
\(213\) | 10.0504 | + | 4.82759i | 0.688640 | + | 0.330781i | ||||
\(214\) | −1.60452 | − | 9.09969i | −0.109683 | − | 0.622042i | ||||
\(215\) | 3.98418 | + | 0.702518i | 0.271719 | + | 0.0479113i | ||||
\(216\) | −8.26255 | − | 35.7051i | −0.562195 | − | 2.42942i | ||||
\(217\) | 13.4921 | − | 7.78968i | 0.915905 | − | 0.528798i | ||||
\(218\) | −26.5083 | − | 4.67414i | −1.79537 | − | 0.316572i | ||||
\(219\) | 15.3815 | − | 10.5095i | 1.03938 | − | 0.710167i | ||||
\(220\) | −8.31666 | + | 14.4049i | −0.560709 | + | 0.971177i | ||||
\(221\) | −0.108837 | −0.00732115 | ||||||||
\(222\) | 14.1071 | − | 29.3690i | 0.946806 | − | 1.97112i | ||||
\(223\) | 5.32426 | − | 0.938811i | 0.356539 | − | 0.0628675i | 0.00749013 | − | 0.999972i | \(-0.497616\pi\) |
0.349049 | + | 0.937104i | \(0.386505\pi\) | |||||||
\(224\) | −29.2134 | − | 24.5129i | −1.95190 | − | 1.63784i | ||||
\(225\) | −9.87833 | + | 1.50919i | −0.658555 | + | 0.100613i | ||||
\(226\) | −14.7871 | − | 5.38206i | −0.983623 | − | 0.358010i | ||||
\(227\) | 11.5628 | − | 20.0273i | 0.767447 | − | 1.32926i | −0.171497 | − | 0.985185i | \(-0.554860\pi\) |
0.938943 | − | 0.344072i | \(-0.111806\pi\) | |||||||
\(228\) | 10.6873 | + | 33.9999i | 0.707785 | + | 2.25170i | ||||
\(229\) | 5.74151 | + | 9.94459i | 0.379410 | + | 0.657157i | 0.990976 | − | 0.134036i | \(-0.0427937\pi\) |
−0.611567 | + | 0.791193i | \(0.709460\pi\) | |||||||
\(230\) | −3.53013 | − | 20.0204i | −0.232770 | − | 1.32010i | ||||
\(231\) | 16.5977 | + | 11.9077i | 1.09205 | + | 0.783470i | ||||
\(232\) | 22.6041 | − | 8.22722i | 1.48403 | − | 0.540143i | ||||
\(233\) | −8.67372 | − | 10.3369i | −0.568234 | − | 0.677195i | 0.403033 | − | 0.915185i | \(-0.367956\pi\) |
−0.971268 | + | 0.237990i | \(0.923511\pi\) | |||||||
\(234\) | 27.9088 | − | 9.43920i | 1.82446 | − | 0.617060i | ||||
\(235\) | 4.64283 | − | 8.04162i | 0.302865 | − | 0.524577i | ||||
\(236\) | −51.2373 | −3.33526 | ||||||||
\(237\) | 8.93296 | − | 0.678443i | 0.580258 | − | 0.0440696i | ||||
\(238\) | 0.207023 | − | 0.246721i | 0.0134193 | − | 0.0159925i | ||||
\(239\) | 13.2077 | + | 7.62544i | 0.854332 | + | 0.493249i | 0.862110 | − | 0.506721i | \(-0.169143\pi\) |
−0.00777814 | + | 0.999970i | \(0.502476\pi\) | |||||||
\(240\) | −19.0536 | − | 5.34024i | −1.22991 | − | 0.344711i | ||||
\(241\) | −0.327837 | + | 0.390701i | −0.0211178 | + | 0.0251672i | −0.776500 | − | 0.630117i | \(-0.783007\pi\) |
0.755382 | + | 0.655284i | \(0.227451\pi\) | |||||||
\(242\) | 7.07247 | − | 5.93450i | 0.454635 | − | 0.381484i | ||||
\(243\) | −13.2606 | + | 8.19497i | −0.850666 | + | 0.525707i | ||||
\(244\) | −8.68289 | − | 49.2431i | −0.555865 | − | 3.15247i | ||||
\(245\) | −9.71473 | − | 11.5776i | −0.620652 | − | 0.739664i | ||||
\(246\) | 16.4826 | − | 4.21459i | 1.05089 | − | 0.268713i | ||||
\(247\) | −15.1877 | + | 6.48015i | −0.966372 | + | 0.412322i | ||||
\(248\) | −22.0066 | + | 12.7055i | −1.39742 | + | 0.806800i | ||||
\(249\) | 12.5214 | + | 8.98326i | 0.793513 | + | 0.569291i | ||||
\(250\) | −9.54297 | + | 26.2191i | −0.603551 | + | 1.65824i | ||||
\(251\) | 3.04408 | − | 3.62779i | 0.192140 | − | 0.228984i | −0.661370 | − | 0.750060i | \(-0.730025\pi\) |
0.853510 | + | 0.521076i | \(0.174469\pi\) | |||||||
\(252\) | −22.2586 | + | 57.0503i | −1.40216 | + | 3.59383i | ||||
\(253\) | 2.87477 | − | 16.3036i | 0.180735 | − | 1.02500i | ||||
\(254\) | −18.6804 | + | 10.7851i | −1.17211 | + | 0.676718i | ||||
\(255\) | 0.0173499 | − | 0.0619031i | 0.00108649 | − | 0.00387652i | ||||
\(256\) | −16.3086 | − | 13.6845i | −1.01929 | − | 0.855282i | ||||
\(257\) | −1.44430 | − | 1.21192i | −0.0900933 | − | 0.0755972i | 0.596629 | − | 0.802517i | \(-0.296507\pi\) |
−0.686722 | + | 0.726920i | \(0.740951\pi\) | |||||||
\(258\) | −3.79477 | + | 13.5395i | −0.236252 | + | 0.842930i | ||||
\(259\) | −27.1731 | + | 15.6884i | −1.68845 | + | 0.974829i | ||||
\(260\) | 4.01176 | − | 22.7518i | 0.248799 | − | 1.41101i | ||||
\(261\) | −6.39537 | − | 7.98663i | −0.395863 | − | 0.494360i | ||||
\(262\) | 13.5540 | − | 16.1531i | 0.837371 | − | 0.997940i | ||||
\(263\) | 5.21517 | − | 14.3285i | 0.321581 | − | 0.883536i | −0.668585 | − | 0.743636i | \(-0.733100\pi\) |
0.990166 | − | 0.139900i | \(-0.0446782\pi\) | |||||||
\(264\) | −27.0720 | − | 19.4223i | −1.66617 | − | 1.19536i | ||||
\(265\) | −6.20201 | + | 3.58073i | −0.380986 | + | 0.219963i | ||||
\(266\) | 14.1995 | − | 46.7551i | 0.870625 | − | 2.86674i | ||||
\(267\) | −17.5351 | + | 4.48372i | −1.07313 | + | 0.274399i | ||||
\(268\) | −31.3628 | − | 37.3767i | −1.91579 | − | 2.28315i | ||||
\(269\) | −2.46754 | − | 13.9941i | −0.150448 | − | 0.853235i | −0.962830 | − | 0.270109i | \(-0.912940\pi\) |
0.812382 | − | 0.583126i | \(-0.198171\pi\) | |||||||
\(270\) | 0.919744 | + | 17.3784i | 0.0559738 | + | 1.05762i | ||||
\(271\) | −8.29441 | + | 6.95984i | −0.503850 | + | 0.422780i | −0.858959 | − | 0.512045i | \(-0.828888\pi\) |
0.355109 | + | 0.934825i | \(0.384444\pi\) | |||||||
\(272\) | −0.163311 | + | 0.194627i | −0.00990221 | + | 0.0118010i | ||||
\(273\) | −27.3198 | − | 7.65704i | −1.65347 | − | 0.463425i | ||||
\(274\) | −0.215726 | − | 0.124549i | −0.0130325 | − | 0.00752430i | ||||
\(275\) | −5.83966 | + | 6.95944i | −0.352145 | + | 0.419670i | ||||
\(276\) | 49.4877 | − | 3.75850i | 2.97881 | − | 0.226235i | ||||
\(277\) | −15.1179 | −0.908344 | −0.454172 | − | 0.890914i | \(-0.650065\pi\) | ||||
−0.454172 | + | 0.890914i | \(0.650065\pi\) | |||||||
\(278\) | −7.55751 | + | 13.0900i | −0.453269 | + | 0.785085i | ||||
\(279\) | 8.11836 | + | 7.13558i | 0.486034 | + | 0.427196i | ||||
\(280\) | 25.3267 | + | 30.1832i | 1.51356 | + | 1.80379i | ||||
\(281\) | 6.05200 | − | 2.20275i | 0.361032 | − | 0.131405i | −0.155134 | − | 0.987893i | \(-0.549581\pi\) |
0.516166 | + | 0.856488i | \(0.327359\pi\) | |||||||
\(282\) | 26.2231 | + | 18.8133i | 1.56156 | + | 1.12031i | ||||
\(283\) | −0.774098 | − | 4.39013i | −0.0460154 | − | 0.260966i | 0.953118 | − | 0.302600i | \(-0.0978547\pi\) |
−0.999133 | + | 0.0416341i | \(0.986744\pi\) | |||||||
\(284\) | 15.1940 | + | 26.3168i | 0.901600 | + | 1.56162i | ||||
\(285\) | −1.26462 | − | 9.67134i | −0.0749094 | − | 0.572881i | ||||
\(286\) | 13.3923 | − | 23.1962i | 0.791906 | − | 1.37162i | ||||
\(287\) | −15.3958 | − | 5.60362i | −0.908786 | − | 0.330771i | ||||
\(288\) | 9.61650 | − | 24.6477i | 0.566658 | − | 1.45238i | ||||
\(289\) | 13.0221 | + | 10.9269i | 0.766007 | + | 0.642756i | ||||
\(290\) | −11.2490 | + | 1.98349i | −0.660562 | + | 0.116475i | ||||
\(291\) | −0.985981 | + | 2.05267i | −0.0577992 | + | 0.120330i | ||||
\(292\) | 50.7726 | 2.97124 | ||||||||
\(293\) | −3.36788 | + | 5.83333i | −0.196753 | + | 0.340787i | −0.947474 | − | 0.319833i | \(-0.896373\pi\) |
0.750721 | + | 0.660620i | \(0.229707\pi\) | |||||||
\(294\) | 43.3718 | − | 29.6341i | 2.52949 | − | 1.72830i | ||||
\(295\) | 13.8092 | + | 2.43493i | 0.804001 | + | 0.141767i | ||||
\(296\) | 44.3211 | − | 25.5888i | 2.57611 | − | 1.48732i | ||||
\(297\) | −4.13649 | + | 13.5548i | −0.240024 | + | 0.786531i | ||||
\(298\) | 36.7563 | + | 6.48113i | 2.12924 | + | 0.375442i | ||||
\(299\) | 3.99290 | + | 22.6449i | 0.230915 | + | 1.30959i | ||||
\(300\) | −24.5501 | − | 11.7924i | −1.41740 | − | 0.680833i | ||||
\(301\) | 10.3732 | − | 8.70419i | 0.597904 | − | 0.501701i | ||||
\(302\) | 16.4311 | − | 2.89724i | 0.945501 | − | 0.166717i | ||||
\(303\) | −10.8069 | − | 3.02890i | −0.620841 | − | 0.174006i | ||||
\(304\) | −11.2013 | + | 36.8830i | −0.642441 | + | 2.11538i | ||||
\(305\) | 13.6843i | 0.783563i | ||||||||
\(306\) | 0.208161 | + | 0.0812159i | 0.0118998 | + | 0.00464280i | ||||
\(307\) | −16.3073 | + | 2.87542i | −0.930708 | + | 0.164109i | −0.618392 | − | 0.785870i | \(-0.712216\pi\) |
−0.312316 | + | 0.949978i | \(0.601105\pi\) | |||||||
\(308\) | 19.0416 | + | 52.3165i | 1.08500 | + | 2.98101i | ||||
\(309\) | −0.395949 | + | 3.99737i | −0.0225248 | + | 0.227403i | ||||
\(310\) | 11.3388 | − | 4.12698i | 0.644000 | − | 0.234397i | ||||
\(311\) | − | 6.20320i | − | 0.351751i | −0.984412 | − | 0.175876i | \(-0.943724\pi\) | ||
0.984412 | − | 0.175876i | \(-0.0562757\pi\) | |||||||
\(312\) | 44.5604 | + | 12.4891i | 2.52274 | + | 0.707059i | ||||
\(313\) | −1.92547 | + | 10.9199i | −0.108834 | + | 0.617228i | 0.880785 | + | 0.473516i | \(0.157015\pi\) |
−0.989619 | + | 0.143713i | \(0.954096\pi\) | |||||||
\(314\) | −25.2121 | + | 9.17646i | −1.42280 | + | 0.517858i | ||||
\(315\) | 8.71019 | − | 14.3181i | 0.490764 | − | 0.806731i | ||||
\(316\) | 21.1454 | + | 12.2083i | 1.18952 | + | 0.686770i | ||||
\(317\) | −18.9113 | − | 15.8685i | −1.06216 | − | 0.891261i | −0.0678443 | − | 0.997696i | \(-0.521612\pi\) |
−0.994320 | + | 0.106434i | \(0.966057\pi\) | |||||||
\(318\) | −10.2600 | − | 22.6777i | −0.575351 | − | 1.27170i | ||||
\(319\) | −9.16061 | − | 1.61526i | −0.512896 | − | 0.0904373i | ||||
\(320\) | −4.29864 | − | 5.12292i | −0.240301 | − | 0.286380i | ||||
\(321\) | −6.14342 | − | 0.608520i | −0.342892 | − | 0.0339643i | ||||
\(322\) | −58.9285 | − | 34.0224i | −3.28395 | − | 1.89599i | ||||
\(323\) | −0.119829 | − | 0.0363919i | −0.00666745 | − | 0.00202490i | ||||
\(324\) | −42.4411 | − | 1.94750i | −2.35784 | − | 0.108195i | ||||
\(325\) | 4.31576 | − | 11.8575i | 0.239395 | − | 0.657733i | ||||
\(326\) | −53.5980 | − | 19.5081i | −2.96852 | − | 1.08045i | ||||
\(327\) | −7.78671 | + | 16.2108i | −0.430606 | + | 0.896462i | ||||
\(328\) | 25.1116 | + | 9.13988i | 1.38656 | + | 0.504665i | ||||
\(329\) | −10.6301 | − | 29.2060i | −0.586057 | − | 1.61018i | ||||
\(330\) | 11.0584 | + | 11.3149i | 0.608746 | + | 0.622865i | ||||
\(331\) | − | 10.2249i | − | 0.562014i | −0.959706 | − | 0.281007i | \(-0.909332\pi\) | ||
0.959706 | − | 0.281007i | \(-0.0906684\pi\) | |||||||
\(332\) | 14.3651 | + | 39.4679i | 0.788389 | + | 2.16608i | ||||
\(333\) | −16.3503 | − | 14.3710i | −0.895993 | − | 0.787528i | ||||
\(334\) | 21.3113 | + | 36.9123i | 1.16610 | + | 2.01975i | ||||
\(335\) | 6.67648 | + | 11.5640i | 0.364775 | + | 0.631809i | ||||
\(336\) | −54.6865 | + | 37.3650i | −2.98339 | + | 2.03843i | ||||
\(337\) | −7.45961 | + | 20.4951i | −0.406351 | + | 1.11644i | 0.552743 | + | 0.833352i | \(0.313581\pi\) |
−0.959094 | + | 0.283088i | \(0.908641\pi\) | |||||||
\(338\) | −0.607950 | + | 3.44785i | −0.0330681 | + | 0.187539i | ||||
\(339\) | −6.12870 | + | 8.54256i | −0.332865 | + | 0.463968i | ||||
\(340\) | 0.134223 | − | 0.112627i | 0.00727927 | − | 0.00610803i | ||||
\(341\) | 9.82637 | 0.532128 | ||||||||
\(342\) | 33.8837 | − | 1.06061i | 1.83222 | − | 0.0573512i | ||||
\(343\) | −20.3175 | −1.09704 | ||||||||
\(344\) | −16.9195 | + | 14.1971i | −0.912237 | + | 0.765457i | ||||
\(345\) | −13.5162 | − | 1.33881i | −0.727690 | − | 0.0720794i | ||||
\(346\) | 2.03460 | − | 11.5388i | 0.109381 | − | 0.620330i | ||||
\(347\) | 12.2819 | − | 33.7441i | 0.659324 | − | 1.81148i | 0.0793455 | − | 0.996847i | \(-0.474717\pi\) |
0.579979 | − | 0.814632i | \(-0.303061\pi\) | |||||||
\(348\) | −2.11181 | − | 27.8059i | −0.113205 | − | 1.49055i | ||||
\(349\) | 16.7275 | + | 28.9729i | 0.895402 | + | 1.55088i | 0.833306 | + | 0.552812i | \(0.186445\pi\) |
0.0620963 | + | 0.998070i | \(0.480221\pi\) | |||||||
\(350\) | 18.6703 | + | 32.3379i | 0.997971 | + | 1.72854i | ||||
\(351\) | −1.04031 | − | 19.6566i | −0.0555279 | − | 1.04919i | ||||
\(352\) | −8.22665 | − | 22.6025i | −0.438482 | − | 1.20472i | ||||
\(353\) | 28.0115i | 1.49090i | 0.666561 | + | 0.745450i | \(0.267765\pi\) | ||||
−0.666561 | + | 0.745450i | \(0.732235\pi\) | |||||||
\(354\) | −13.1527 | + | 46.9278i | −0.699056 | + | 2.49419i | ||||
\(355\) | −2.84436 | − | 7.81481i | −0.150963 | − | 0.414767i | ||||
\(356\) | −46.3540 | − | 16.8715i | −2.45676 | − | 0.894187i | ||||
\(357\) | −0.121395 | − | 0.177670i | −0.00642490 | − | 0.00940332i | ||||
\(358\) | 52.0447 | + | 18.9427i | 2.75065 | + | 1.00115i | ||||
\(359\) | 5.25974 | − | 14.4510i | 0.277599 | − | 0.762696i | −0.720035 | − | 0.693938i | \(-0.755874\pi\) |
0.997633 | − | 0.0687578i | \(-0.0219036\pi\) | |||||||
\(360\) | −14.2069 | + | 23.3537i | −0.748770 | + | 1.23085i | ||||
\(361\) | −18.8884 | + | 2.05628i | −0.994126 | + | 0.108225i | ||||
\(362\) | 37.6826 | + | 21.7560i | 1.98055 | + | 1.14347i | ||||
\(363\) | −2.54262 | − | 5.61998i | −0.133453 | − | 0.294973i | ||||
\(364\) | −49.7057 | − | 59.2369i | −2.60528 | − | 3.10486i | ||||
\(365\) | −13.6839 | − | 2.41284i | −0.716249 | − | 0.126294i | ||||
\(366\) | −47.3303 | − | 4.68817i | −2.47399 | − | 0.245055i | ||||
\(367\) | −25.1222 | − | 21.0800i | −1.31137 | − | 1.10037i | −0.988059 | − | 0.154076i | \(-0.950760\pi\) |
−0.323310 | − | 0.946293i | \(-0.604796\pi\) | |||||||
\(368\) | 46.4860 | + | 26.8387i | 2.42325 | + | 1.39907i | ||||
\(369\) | 0.260587 | − | 11.3637i | 0.0135656 | − | 0.591570i | ||||
\(370\) | −22.8363 | + | 8.31173i | −1.18720 | + | 0.432106i | ||||
\(371\) | −4.16242 | + | 23.6062i | −0.216102 | + | 1.22558i | ||||
\(372\) | 7.29766 | + | 28.5400i | 0.378366 | + | 1.47973i | ||||
\(373\) | − | 5.99458i | − | 0.310387i | −0.987884 | − | 0.155194i | \(-0.950400\pi\) | ||
0.987884 | − | 0.155194i | \(-0.0496002\pi\) | |||||||
\(374\) | 0.190889 | − | 0.0694779i | 0.00987064 | − | 0.00359262i | ||||
\(375\) | 15.1469 | + | 10.8668i | 0.782181 | + | 0.561161i | ||||
\(376\) | 17.3384 | + | 47.6370i | 0.894162 | + | 2.45669i | ||||
\(377\) | 12.7236 | − | 2.24351i | 0.655299 | − | 0.115547i | ||||
\(378\) | 46.5381 | + | 35.0314i | 2.39366 | + | 1.80182i | ||||
\(379\) | − | 0.959510i | − | 0.0492867i | −0.999696 | − | 0.0246434i | \(-0.992155\pi\) | ||
0.999696 | − | 0.0246434i | \(-0.00784502\pi\) | |||||||
\(380\) | 12.0245 | − | 23.7082i | 0.616843 | − | 1.21621i | ||||
\(381\) | 3.57015 | + | 13.9623i | 0.182905 | + | 0.715311i | ||||
\(382\) | 24.6789 | − | 4.35155i | 1.26268 | − | 0.222645i | ||||
\(383\) | 1.73527 | − | 1.45607i | 0.0886683 | − | 0.0744016i | −0.597376 | − | 0.801961i | \(-0.703790\pi\) |
0.686044 | + | 0.727560i | \(0.259346\pi\) | |||||||
\(384\) | −6.03306 | + | 4.12214i | −0.307873 | + | 0.210357i | ||||
\(385\) | −2.64577 | − | 15.0049i | −0.134841 | − | 0.764722i | ||||
\(386\) | 3.03101 | + | 0.534449i | 0.154274 | + | 0.0272027i | ||||
\(387\) | 8.02613 | + | 4.88258i | 0.407991 | + | 0.248196i | ||||
\(388\) | −5.37491 | + | 3.10321i | −0.272870 | + | 0.157542i | ||||
\(389\) | 28.3453 | + | 4.99805i | 1.43717 | + | 0.253411i | 0.837324 | − | 0.546707i | \(-0.184119\pi\) |
0.599842 | + | 0.800119i | \(0.295230\pi\) | |||||||
\(390\) | −19.8084 | − | 9.51476i | −1.00304 | − | 0.481798i | ||||
\(391\) | −0.0871961 | + | 0.151028i | −0.00440970 | + | 0.00763782i | ||||
\(392\) | 82.5105 | 4.16741 | ||||||||
\(393\) | −7.94785 | − | 11.6323i | −0.400916 | − | 0.586771i | ||||
\(394\) | 47.6746 | − | 8.40632i | 2.40181 | − | 0.423504i | ||||
\(395\) | −5.11880 | − | 4.29519i | −0.257555 | − | 0.216114i | ||||
\(396\) | −30.1500 | + | 24.1429i | −1.51509 | + | 1.21323i | ||||
\(397\) | 11.1168 | + | 4.04618i | 0.557935 | + | 0.203072i | 0.605569 | − | 0.795793i | \(-0.292946\pi\) |
−0.0476333 | + | 0.998865i | \(0.515168\pi\) | |||||||
\(398\) | 6.47648 | − | 11.2176i | 0.324636 | − | 0.562287i | ||||
\(399\) | −27.5187 | − | 17.5653i | −1.37766 | − | 0.879366i | ||||
\(400\) | −14.7282 | − | 25.5100i | −0.736409 | − | 1.27550i | ||||
\(401\) | 2.72421 | + | 15.4498i | 0.136041 | + | 0.771525i | 0.974129 | + | 0.225991i | \(0.0725619\pi\) |
−0.838089 | + | 0.545534i | \(0.816327\pi\) | |||||||
\(402\) | −42.2839 | + | 19.1303i | −2.10893 | + | 0.954133i | ||||
\(403\) | −12.8252 | + | 4.66800i | −0.638869 | + | 0.232529i | ||||
\(404\) | −19.6621 | − | 23.4324i | −0.978227 | − | 1.16581i | ||||
\(405\) | 11.3459 | + | 2.54179i | 0.563783 | + | 0.126303i | ||||
\(406\) | −19.1163 | + | 33.1105i | −0.948728 | + | 1.64324i | ||||
\(407\) | −19.7903 | −0.980967 | ||||||||
\(408\) | 0.198003 | + | 0.289793i | 0.00980262 | + | 0.0143469i | ||||
\(409\) | 20.0169 | − | 23.8552i | 0.989772 | − | 1.17956i | 0.00602859 | − | 0.999982i | \(-0.498081\pi\) |
0.983743 | − | 0.179582i | \(-0.0574745\pi\) | |||||||
\(410\) | −10.9895 | − | 6.34481i | −0.542734 | − | 0.313348i | ||||
\(411\) | −0.119024 | + | 0.116326i | −0.00587101 | + | 0.00573792i | ||||
\(412\) | −7.03724 | + | 8.38666i | −0.346700 | + | 0.413181i | ||||
\(413\) | 35.9537 | − | 30.1687i | 1.76917 | − | 1.48451i | ||||
\(414\) | 9.26117 | − | 46.2902i | 0.455161 | − | 2.27504i | ||||
\(415\) | −1.99599 | − | 11.3198i | −0.0979792 | − | 0.555668i | ||||
\(416\) | 21.4746 | + | 25.5924i | 1.05288 | + | 1.25477i | ||||
\(417\) | 7.05851 | + | 7.22222i | 0.345657 | + | 0.353674i | ||||
\(418\) | 22.5011 | − | 21.0609i | 1.10056 | − | 1.03012i | ||||
\(419\) | −7.19773 | + | 4.15561i | −0.351632 | + | 0.203015i | −0.665404 | − | 0.746483i | \(-0.731741\pi\) |
0.313772 | + | 0.949498i | \(0.398407\pi\) | |||||||
\(420\) | 41.6159 | − | 18.8280i | 2.03065 | − | 0.918714i | ||||
\(421\) | −4.03670 | + | 11.0908i | −0.196737 | + | 0.540530i | −0.998357 | − | 0.0573039i | \(-0.981750\pi\) |
0.801620 | + | 0.597834i | \(0.203972\pi\) | |||||||
\(422\) | −11.5661 | + | 13.7840i | −0.563030 | + | 0.670993i | ||||
\(423\) | 16.8314 | − | 13.4779i | 0.818371 | − | 0.655319i | ||||
\(424\) | 6.78918 | − | 38.5034i | 0.329712 | − | 1.86989i | ||||
\(425\) | 0.0828791 | − | 0.0478503i | 0.00402023 | − | 0.00232108i | ||||
\(426\) | 28.0037 | − | 7.16053i | 1.35678 | − | 0.346929i | ||||
\(427\) | 35.0874 | + | 29.4419i | 1.69800 | + | 1.42479i | ||||
\(428\) | −12.8892 | − | 10.8153i | −0.623021 | − | 0.522776i | ||||
\(429\) | −12.5081 | − | 12.7982i | −0.603896 | − | 0.617903i | ||||
\(430\) | 9.08287 | − | 5.24400i | 0.438015 | − | 0.252888i | ||||
\(431\) | −5.09657 | + | 28.9041i | −0.245493 | + | 1.39226i | 0.573851 | + | 0.818959i | \(0.305449\pi\) |
−0.819345 | + | 0.573301i | \(0.805662\pi\) | |||||||
\(432\) | −36.7118 | − | 27.6347i | −1.76630 | − | 1.32958i | ||||
\(433\) | −16.7776 | + | 19.9947i | −0.806279 | + | 0.960886i | −0.999796 | − | 0.0202110i | \(-0.993566\pi\) |
0.193517 | + | 0.981097i | \(0.438011\pi\) | |||||||
\(434\) | 13.8136 | − | 37.9525i | 0.663074 | − | 1.82178i | ||||
\(435\) | −0.752247 | + | 7.59445i | −0.0360675 | + | 0.364126i | ||||
\(436\) | −42.4480 | + | 24.5074i | −2.03289 | + | 1.17369i | ||||
\(437\) | −3.17563 | + | 26.2670i | −0.151911 | + | 1.25652i | ||||
\(438\) | 13.0334 | − | 46.5022i | 0.622759 | − | 2.22196i | ||||
\(439\) | −9.16250 | − | 10.9194i | −0.437302 | − | 0.521156i | 0.501712 | − | 0.865035i | \(-0.332704\pi\) |
−0.939014 | + | 0.343878i | \(0.888259\pi\) | |||||||
\(440\) | 4.31544 | + | 24.4741i | 0.205730 | + | 1.16675i | ||||
\(441\) | −11.2442 | − | 33.2457i | −0.535439 | − | 1.58313i | ||||
\(442\) | −0.216140 | + | 0.181363i | −0.0102807 | + | 0.00862655i | ||||
\(443\) | −11.0540 | + | 13.1736i | −0.525189 | + | 0.625896i | −0.961800 | − | 0.273755i | \(-0.911734\pi\) |
0.436610 | + | 0.899651i | \(0.356179\pi\) | |||||||
\(444\) | −14.6975 | − | 57.4794i | −0.697511 | − | 2.72785i | ||||
\(445\) | 11.6913 | + | 6.74997i | 0.554220 | + | 0.319979i | ||||
\(446\) | 9.00909 | − | 10.7366i | 0.426593 | − | 0.508393i | ||||
\(447\) | 10.7970 | − | 22.4779i | 0.510681 | − | 1.06317i | ||||
\(448\) | −22.3840 | −1.05754 | ||||||||
\(449\) | −10.0934 | + | 17.4823i | −0.476338 | + | 0.825041i | −0.999632 | − | 0.0271107i | \(-0.991369\pi\) |
0.523295 | + | 0.852152i | \(0.324703\pi\) | |||||||
\(450\) | −17.1026 | + | 19.4581i | −0.806223 | + | 0.917264i | ||||
\(451\) | −6.64244 | − | 7.91616i | −0.312780 | − | 0.372757i | ||||
\(452\) | −26.9264 | + | 9.80041i | −1.26651 | + | 0.460973i | ||||
\(453\) | 1.09879 | − | 11.0930i | 0.0516255 | − | 0.521195i | ||||
\(454\) | −10.4104 | − | 59.0402i | −0.488583 | − | 2.77089i | ||||
\(455\) | 10.5813 | + | 18.3273i | 0.496058 | + | 0.859198i | ||||
\(456\) | 44.8848 | + | 28.6502i | 2.10192 | + | 1.34167i | ||||
\(457\) | 3.50379 | − | 6.06875i | 0.163900 | − | 0.283884i | −0.772364 | − | 0.635180i | \(-0.780926\pi\) |
0.936264 | + | 0.351296i | \(0.114259\pi\) | |||||||
\(458\) | 27.9735 | + | 10.1815i | 1.30712 | + | 0.475752i | ||||
\(459\) | 0.0897821 | − | 0.119273i | 0.00419067 | − | 0.00556717i | ||||
\(460\) | −28.3576 | − | 23.7949i | −1.32218 | − | 1.10944i | ||||
\(461\) | 6.87248 | − | 1.21180i | 0.320083 | − | 0.0564393i | −0.0112983 | − | 0.999936i | \(-0.503596\pi\) |
0.331381 | + | 0.943497i | \(0.392485\pi\) | |||||||
\(462\) | 52.8043 | − | 4.01039i | 2.45668 | − | 0.186580i | ||||
\(463\) | −9.79792 | −0.455348 | −0.227674 | − | 0.973737i | \(-0.573112\pi\) | ||||
−0.227674 | + | 0.973737i | \(0.573112\pi\) | |||||||
\(464\) | 15.0800 | − | 26.1194i | 0.700073 | − | 1.21256i | ||||
\(465\) | −0.610527 | − | 8.03873i | −0.0283125 | − | 0.372787i | ||||
\(466\) | −34.4504 | − | 6.07454i | −1.59589 | − | 0.281398i | ||||
\(467\) | −24.7592 | + | 14.2947i | −1.14572 | + | 0.661481i | −0.947840 | − | 0.318746i | \(-0.896738\pi\) |
−0.197878 | + | 0.980227i | \(0.563405\pi\) | |||||||
\(468\) | 27.8822 | − | 45.8336i | 1.28886 | − | 2.11866i | ||||
\(469\) | 44.0152 | + | 7.76106i | 2.03243 | + | 0.358373i | ||||
\(470\) | −4.18012 | − | 23.7066i | −0.192814 | − | 1.09350i | ||||
\(471\) | 1.35752 | + | 17.8743i | 0.0625514 | + | 0.823606i | ||||
\(472\) | −58.6429 | + | 49.2072i | −2.69926 | + | 2.26495i | ||||
\(473\) | 8.41116 | − | 1.48311i | 0.386745 | − | 0.0681937i | ||||
\(474\) | 16.6095 | − | 16.2330i | 0.762900 | − | 0.745606i | ||||
\(475\) | 8.71643 | − | 11.6119i | 0.399937 | − | 0.532792i | ||||
\(476\) | − | 0.586472i | − | 0.0268809i | ||||||
\(477\) | −16.4393 | + | 2.51155i | −0.752702 | + | 0.114996i | ||||
\(478\) | 38.9360 | − | 6.86547i | 1.78089 | − | 0.314019i | ||||
\(479\) | 11.1440 | + | 30.6180i | 0.509184 | + | 1.39897i | 0.882080 | + | 0.471099i | \(0.156143\pi\) |
−0.372896 | + | 0.927873i | \(0.621635\pi\) | |||||||
\(480\) | −17.9795 | + | 8.13437i | −0.820648 | + | 0.371281i | ||||
\(481\) | 25.8299 | − | 9.40132i | 1.17774 | − | 0.428663i | ||||
\(482\) | 1.32219i | 0.0602243i | ||||||||
\(483\) | −32.5130 | + | 31.7760i | −1.47939 | + | 1.44586i | ||||
\(484\) | 2.91933 | − | 16.5563i | 0.132697 | − | 0.752560i | ||||
\(485\) | 1.59609 | − | 0.580928i | 0.0724746 | − | 0.0263786i | ||||
\(486\) | −12.6784 | + | 38.3715i | −0.575103 | + | 1.74057i | ||||
\(487\) | 26.3295 | + | 15.2014i | 1.19311 | + | 0.688840i | 0.959010 | − | 0.283374i | \(-0.0914536\pi\) |
0.234096 | + | 0.972213i | \(0.424787\pi\) | |||||||
\(488\) | −57.2300 | − | 48.0217i | −2.59068 | − | 2.17384i | ||||
\(489\) | −22.2144 | + | 30.9638i | −1.00457 | + | 1.40023i | ||||
\(490\) | −38.5851 | − | 6.80360i | −1.74310 | − | 0.307355i | ||||
\(491\) | 7.94706 | + | 9.47093i | 0.358646 | + | 0.427417i | 0.914954 | − | 0.403559i | \(-0.132227\pi\) |
−0.556308 | + | 0.830976i | \(0.687783\pi\) | |||||||
\(492\) | 18.0588 | − | 25.1715i | 0.814155 | − | 1.13482i | ||||
\(493\) | 0.0848590 | + | 0.0489933i | 0.00382186 | + | 0.00220655i | ||||
\(494\) | −19.3631 | + | 38.1774i | −0.871186 | + | 1.71768i | ||||
\(495\) | 9.27317 | − | 5.07404i | 0.416798 | − | 0.228061i | ||||
\(496\) | −10.8969 | + | 29.9391i | −0.489287 | + | 1.34430i | ||||
\(497\) | −26.1573 | − | 9.52046i | −1.17331 | − | 0.427051i | ||||
\(498\) | 39.8359 | − | 3.02546i | 1.78509 | − | 0.135574i | ||||
\(499\) | 22.0469 | + | 8.02441i | 0.986955 | + | 0.359222i | 0.784540 | − | 0.620078i | \(-0.212899\pi\) |
0.202414 | + | 0.979300i | \(0.435121\pi\) | |||||||
\(500\) | 17.3772 | + | 47.7434i | 0.777131 | + | 2.13515i | ||||
\(501\) | 27.5894 | − | 7.05460i | 1.23260 | − | 0.315176i | ||||
\(502\) | − | 12.2770i | − | 0.547951i | ||||||
\(503\) | −9.63892 | − | 26.4827i | −0.429778 | − | 1.18081i | −0.945948 | − | 0.324319i | \(-0.894865\pi\) |
0.516170 | − | 0.856486i | \(-0.327357\pi\) | |||||||
\(504\) | 29.3141 | + | 86.6728i | 1.30575 | + | 3.86072i | ||||
\(505\) | 4.18565 | + | 7.24976i | 0.186259 | + | 0.322610i | ||||
\(506\) | −21.4589 | − | 37.1679i | −0.953966 | − | 1.65232i | ||||
\(507\) | 2.10849 | + | 1.01279i | 0.0936415 | + | 0.0449797i | ||||
\(508\) | −13.4339 | + | 36.9093i | −0.596032 | + | 1.63759i | ||||
\(509\) | 4.59624 | − | 26.0666i | 0.203725 | − | 1.15538i | −0.695709 | − | 0.718323i | \(-0.744910\pi\) |
0.899434 | − | 0.437057i | \(-0.143979\pi\) | |||||||
\(510\) | −0.0686986 | − | 0.151845i | −0.00304202 | − | 0.00672382i | ||||
\(511\) | −35.6276 | + | 29.8951i | −1.57607 | + | 1.32248i | ||||
\(512\) | −46.7536 | −2.06624 | ||||||||
\(513\) | 5.42722 | − | 21.9897i | 0.239618 | − | 0.970867i | ||||
\(514\) | −4.88776 | −0.215590 | ||||||||
\(515\) | 2.29519 | − | 1.92589i | 0.101138 | − | 0.0848650i | ||||
\(516\) | 10.5542 | + | 23.3282i | 0.464625 | + | 1.02697i | ||||
\(517\) | 3.40408 | − | 19.3055i | 0.149711 | − | 0.849056i | ||||
\(518\) | −27.8205 | + | 76.4362i | −1.22236 | + | 3.35841i | ||||
\(519\) | −7.05641 | − | 3.38948i | −0.309742 | − | 0.148781i | ||||
\(520\) | −17.2588 | − | 29.8931i | −0.756848 | − | 1.31090i | ||||
\(521\) | −9.63458 | − | 16.6876i | −0.422099 | − | 0.731096i | 0.574046 | − | 0.818823i | \(-0.305373\pi\) |
−0.996145 | + | 0.0877268i | \(0.972040\pi\) | |||||||
\(522\) | −26.0093 | − | 5.20362i | −1.13840 | − | 0.227756i | ||||
\(523\) | 11.7842 | + | 32.3767i | 0.515286 | + | 1.41574i | 0.875660 | + | 0.482928i | \(0.160427\pi\) |
−0.360374 | + | 0.932808i | \(0.617351\pi\) | |||||||
\(524\) | − | 38.3969i | − | 1.67738i | ||||||
\(525\) | 24.1704 | − | 6.18037i | 1.05488 | − | 0.269733i | ||||
\(526\) | −13.5199 | − | 37.1456i | −0.589495 | − | 1.61963i | ||||
\(527\) | −0.0972687 | − | 0.0354029i | −0.00423709 | − | 0.00154218i | ||||
\(528\) | −41.6549 | + | 3.16362i | −1.81280 | + | 0.137679i | ||||
\(529\) | 13.0093 | + | 4.73501i | 0.565624 | + | 0.205870i | ||||
\(530\) | −6.34978 | + | 17.4459i | −0.275817 | + | 0.757800i | ||||
\(531\) | 27.8186 | + | 16.9230i | 1.20722 | + | 0.734397i | ||||
\(532\) | −34.9186 | − | 81.8397i | −1.51391 | − | 3.54820i | ||||
\(533\) | 12.4302 | + | 7.17655i | 0.538410 | + | 0.310851i | ||||
\(534\) | −27.3516 | + | 38.1244i | −1.18362 | + | 1.64980i | ||||
\(535\) | 2.95984 | + | 3.52740i | 0.127965 | + | 0.152503i | ||||
\(536\) | −71.7917 | − | 12.6588i | −3.10093 | − | 0.546778i | ||||
\(537\) | 21.5706 | − | 30.0664i | 0.930840 | − | 1.29746i | ||||
\(538\) | −28.2197 | − | 23.6791i | −1.21664 | − | 1.02088i | ||||
\(539\) | −27.6319 | − | 15.9533i | −1.19019 | − | 0.687157i | ||||
\(540\) | 21.6240 | + | 23.1650i | 0.930549 | + | 0.996862i | ||||
\(541\) | −27.6162 | + | 10.0515i | −1.18731 | + | 0.432147i | −0.858780 | − | 0.512345i | \(-0.828777\pi\) |
−0.328535 | + | 0.944492i | \(0.606555\pi\) | |||||||
\(542\) | −4.87424 | + | 27.6432i | −0.209367 | + | 1.18738i | ||||
\(543\) | 20.7908 | − | 20.3195i | 0.892221 | − | 0.871995i | ||||
\(544\) | 0.253376i | 0.0108634i | ||||||||
\(545\) | 12.6050 | − | 4.58784i | 0.539938 | − | 0.196521i | ||||
\(546\) | −67.0141 | + | 30.3188i | −2.86794 | + | 1.29753i | ||||
\(547\) | 9.08791 | + | 24.9688i | 0.388571 | + | 1.06759i | 0.967645 | + | 0.252315i | \(0.0811920\pi\) |
−0.579074 | + | 0.815275i | \(0.696586\pi\) | |||||||
\(548\) | −0.446703 | + | 0.0787657i | −0.0190822 | + | 0.00336471i | ||||
\(549\) | −11.5501 | + | 29.6037i | −0.492948 | + | 1.26346i | ||||
\(550\) | 23.5519i | 1.00425i | ||||||||
\(551\) | 14.7588 | + | 1.78431i | 0.628746 | + | 0.0760141i | ||||
\(552\) | 53.0309 | − | 51.8287i | 2.25714 | − | 2.20598i | ||||
\(553\) | −22.0262 | + | 3.88381i | −0.936649 | + | 0.165157i | ||||
\(554\) | −30.0227 | + | 25.1920i | −1.27554 | + | 1.07031i | ||||
\(555\) | 1.22960 | + | 16.1900i | 0.0521936 | + | 0.687226i | ||||
\(556\) | 4.77941 | + | 27.1054i | 0.202692 | + | 1.14952i | ||||
\(557\) | 9.24274 | + | 1.62974i | 0.391627 | + | 0.0690545i | 0.365995 | − | 0.930617i | \(-0.380729\pi\) |
0.0256328 | + | 0.999671i | \(0.491840\pi\) | |||||||
\(558\) | 28.0129 | + | 0.642379i | 1.18588 | + | 0.0271941i | ||||
\(559\) | −10.2736 | + | 5.93144i | −0.434525 | + | 0.250873i | ||||
\(560\) | 48.6512 | + | 8.57851i | 2.05589 | + | 0.362508i | ||||
\(561\) | −0.0102782 | − | 0.135332i | −0.000433948 | − | 0.00571374i | ||||
\(562\) | 8.34812 | − | 14.4594i | 0.352144 | − | 0.609932i | ||||
\(563\) | 18.2122 | 0.767553 | 0.383776 | − | 0.923426i | \(-0.374623\pi\) | ||||
0.383776 | + | 0.923426i | \(0.374623\pi\) | |||||||
\(564\) | 58.5996 | − | 4.45054i | 2.46749 | − | 0.187401i | ||||
\(565\) | 7.72278 | − | 1.36174i | 0.324900 | − | 0.0572886i | ||||
\(566\) | −8.85289 | − | 7.42846i | −0.372115 | − | 0.312241i | ||||
\(567\) | 30.9280 | − | 23.6229i | 1.29885 | − | 0.992069i | ||||
\(568\) | 42.6643 | + | 15.5285i | 1.79015 | + | 0.651562i | ||||
\(569\) | −8.06565 | + | 13.9701i | −0.338129 | + | 0.585657i | −0.984081 | − | 0.177721i | \(-0.943128\pi\) |
0.645951 | + | 0.763378i | \(0.276461\pi\) | |||||||
\(570\) | −18.6275 | − | 17.0991i | −0.780220 | − | 0.716201i | ||||
\(571\) | −9.53329 | − | 16.5121i | −0.398956 | − | 0.691012i | 0.594642 | − | 0.803991i | \(-0.297294\pi\) |
−0.993597 | + | 0.112979i | \(0.963961\pi\) | |||||||
\(572\) | −8.46939 | − | 48.0323i | −0.354123 | − | 2.00833i | ||||
\(573\) | 1.65034 | − | 16.6613i | 0.0689440 | − | 0.696037i | ||||
\(574\) | −39.9124 | + | 14.5269i | −1.66591 | + | 0.606342i | ||||
\(575\) | −12.9964 | − | 15.4886i | −0.541989 | − | 0.645918i | ||||
\(576\) | −4.97542 | − | 14.7108i | −0.207309 | − | 0.612950i | ||||
\(577\) | −17.3897 | + | 30.1198i | −0.723942 | + | 1.25390i | 0.235466 | + | 0.971883i | \(0.424338\pi\) |
−0.959408 | + | 0.282022i | \(0.908995\pi\) | |||||||
\(578\) | 44.0690 | 1.83303 | ||||||||
\(579\) | 0.890347 | − | 1.85358i | 0.0370016 | − | 0.0770321i | ||||
\(580\) | −13.3698 | + | 15.9335i | −0.555149 | + | 0.661601i | ||||
\(581\) | −33.3190 | − | 19.2367i | −1.38231 | − | 0.798075i | ||||
\(582\) | 1.46246 | + | 5.71944i | 0.0606208 | + | 0.237078i | ||||
\(583\) | −9.71821 | + | 11.5817i | −0.402487 | + | 0.479666i | ||||
\(584\) | 58.1110 | − | 48.7609i | 2.40465 | − | 2.01774i | ||||
\(585\) | −9.69277 | + | 11.0278i | −0.400747 | + | 0.455941i | ||||
\(586\) | 3.03223 | + | 17.1966i | 0.125260 | + | 0.710385i | ||||
\(587\) | −11.8840 | − | 14.1628i | −0.490504 | − | 0.584560i | 0.462841 | − | 0.886441i | \(-0.346830\pi\) |
−0.953346 | + | 0.301881i | \(0.902385\pi\) | |||||||
\(588\) | 25.8141 | − | 92.1029i | 1.06456 | − | 3.79826i | ||||
\(589\) | −15.6814 | + | 0.851058i | −0.646139 | + | 0.0350672i | ||||
\(590\) | 31.4812 | − | 18.1757i | 1.29606 | − | 0.748282i | ||||
\(591\) | 3.18812 | − | 32.1863i | 0.131142 | − | 1.32397i | ||||
\(592\) | 21.9464 | − | 60.2972i | 0.901990 | − | 2.47820i | ||||
\(593\) | 11.0050 | − | 13.1152i | 0.451920 | − | 0.538578i | −0.491192 | − | 0.871051i | \(-0.663439\pi\) |
0.943113 | + | 0.332473i | \(0.107883\pi\) | |||||||
\(594\) | 14.3727 | + | 33.8116i | 0.589721 | + | 1.38731i | ||||
\(595\) | −0.0278706 | + | 0.158062i | −0.00114259 | + | 0.00647992i | ||||
\(596\) | 58.8581 | − | 33.9818i | 2.41092 | − | 1.39195i | ||||
\(597\) | −6.04885 | − | 6.18915i | −0.247563 | − | 0.253305i | ||||
\(598\) | 45.6644 | + | 38.3170i | 1.86736 | + | 1.56690i | ||||
\(599\) | 6.02338 | + | 5.05422i | 0.246109 | + | 0.206510i | 0.757495 | − | 0.652841i | \(-0.226423\pi\) |
−0.511386 | + | 0.859351i | \(0.670868\pi\) | |||||||
\(600\) | −39.4236 | + | 10.0806i | −1.60946 | + | 0.411539i | ||||
\(601\) | −12.7277 | + | 7.34835i | −0.519174 | + | 0.299745i | −0.736597 | − | 0.676332i | \(-0.763568\pi\) |
0.217422 | + | 0.976078i | \(0.430235\pi\) | |||||||
\(602\) | 6.09588 | − | 34.5714i | 0.248449 | − | 1.40903i | ||||
\(603\) | 4.68293 | + | 30.6519i | 0.190704 | + | 1.24824i | ||||
\(604\) | 19.5289 | − | 23.2736i | 0.794618 | − | 0.946989i | ||||
\(605\) | −1.57360 | + | 4.32343i | −0.0639759 | + | 0.175772i | ||||
\(606\) | −26.5088 | + | 11.9933i | −1.07685 | + | 0.487193i | ||||
\(607\) | 34.1846 | − | 19.7365i | 1.38751 | − | 0.801079i | 0.394475 | − | 0.918907i | \(-0.370926\pi\) |
0.993034 | + | 0.117828i | \(0.0375930\pi\) | |||||||
\(608\) | 15.0860 | + | 35.3576i | 0.611820 | + | 1.43394i | ||||
\(609\) | 17.8541 | + | 18.2682i | 0.723486 | + | 0.740267i | ||||
\(610\) | 22.8033 | + | 27.1759i | 0.923277 | + | 1.10032i | ||||
\(611\) | 4.72809 | + | 26.8143i | 0.191278 | + | 1.08479i | ||||
\(612\) | 0.385430 | − | 0.130359i | 0.0155801 | − | 0.00526943i | ||||
\(613\) | −6.49712 | + | 5.45173i | −0.262416 | + | 0.220193i | −0.764497 | − | 0.644628i | \(-0.777012\pi\) |
0.502081 | + | 0.864821i | \(0.332568\pi\) | |||||||
\(614\) | −27.5933 | + | 32.8844i | −1.11358 | + | 1.32711i | ||||
\(615\) | −6.06332 | + | 5.92588i | −0.244497 | + | 0.238954i | ||||
\(616\) | 72.0375 | + | 41.5909i | 2.90247 | + | 1.67574i | ||||
\(617\) | −14.2643 | + | 16.9995i | −0.574259 | + | 0.684375i | −0.972499 | − | 0.232906i | \(-0.925177\pi\) |
0.398240 | + | 0.917281i | \(0.369621\pi\) | |||||||
\(618\) | 5.87481 | + | 8.59822i | 0.236319 | + | 0.345871i | ||||
\(619\) | 29.4005 | 1.18171 | 0.590853 | − | 0.806779i | \(-0.298791\pi\) | ||||
0.590853 | + | 0.806779i | \(0.298791\pi\) | |||||||
\(620\) | 10.9862 | − | 19.0286i | 0.441216 | − | 0.764208i | ||||
\(621\) | −28.1100 | − | 14.3045i | −1.12802 | − | 0.574022i | ||||
\(622\) | −10.3369 | − | 12.3190i | −0.414470 | − | 0.493946i | ||||
\(623\) | 42.4611 | − | 15.4546i | 1.70117 | − | 0.619174i | ||||
\(624\) | 52.8645 | − | 23.9172i | 2.11627 | − | 0.957454i | ||||
\(625\) | 0.477593 | + | 2.70857i | 0.0191037 | + | 0.108343i | ||||
\(626\) | 14.3728 | + | 24.8944i | 0.574453 | + | 0.994982i | ||||
\(627\) | −9.49199 | − | 18.2731i | −0.379074 | − | 0.729758i | ||||
\(628\) | −24.4281 | + | 42.3106i | −0.974786 | + | 1.68838i | ||||
\(629\) | 0.195899 | + | 0.0713013i | 0.00781100 | + | 0.00284297i | ||||
\(630\) | −6.56162 | − | 42.9488i | −0.261421 | − | 1.71112i | ||||
\(631\) | 19.8868 | + | 16.6870i | 0.791682 | + | 0.664300i | 0.946161 | − | 0.323696i | \(-0.104925\pi\) |
−0.154479 | + | 0.987996i | \(0.549370\pi\) | |||||||
\(632\) | 35.9262 | − | 6.33476i | 1.42907 | − | 0.251983i | ||||
\(633\) | 6.78217 | + | 9.92621i | 0.269567 | + | 0.394532i | ||||
\(634\) | −63.9989 | −2.54172 | ||||||||
\(635\) | 5.37464 | − | 9.30916i | 0.213286 | − | 0.369423i | ||||
\(636\) | −40.8556 | − | 19.6246i | −1.62003 | − | 0.778165i | ||||
\(637\) | 43.6433 | + | 7.69549i | 1.72921 | + | 0.304907i | ||||
\(638\) | −20.8838 | + | 12.0572i | −0.826796 | + | 0.477351i | ||||
\(639\) | 0.442734 | − | 19.3068i | 0.0175143 | − | 0.763763i | ||||
\(640\) | 5.36723 | + | 0.946388i | 0.212159 | + | 0.0374093i | ||||
\(641\) | −6.57760 | − | 37.3034i | −0.259799 | − | 1.47340i | −0.783446 | − | 0.621460i | \(-0.786540\pi\) |
0.523646 | − | 0.851936i | \(-0.324571\pi\) | |||||||
\(642\) | −13.2143 | + | 9.02878i | −0.521526 | + | 0.356337i | ||||
\(643\) | 0.629992 | − | 0.528626i | 0.0248445 | − | 0.0208470i | −0.630281 | − | 0.776367i | \(-0.717060\pi\) |
0.655125 | + | 0.755520i | \(0.272616\pi\) | |||||||
\(644\) | −122.023 | + | 21.5159i | −4.80838 | + | 0.847846i | ||||
\(645\) | −1.73590 | − | 6.78883i | −0.0683510 | − | 0.267310i | ||||
\(646\) | −0.298612 | + | 0.127409i | −0.0117487 | + | 0.00501283i | ||||
\(647\) | 11.4597i | 0.450528i | 0.974298 | + | 0.225264i | \(0.0723245\pi\) | ||||
−0.974298 | + | 0.225264i | \(0.927676\pi\) | |||||||
\(648\) | −50.4457 | + | 38.5306i | −1.98169 | + | 1.51362i | ||||
\(649\) | 29.1531 | − | 5.14048i | 1.14436 | − | 0.201781i | ||||
\(650\) | −11.1883 | − | 30.7395i | −0.438840 | − | 1.20570i | ||||
\(651\) | −21.9253 | − | 15.7299i | −0.859321 | − | 0.616503i | ||||
\(652\) | −97.5987 | + | 35.5230i | −3.82226 | + | 1.39119i | ||||
\(653\) | − | 21.4238i | − | 0.838378i | −0.907899 | − | 0.419189i | \(-0.862314\pi\) | ||
0.907899 | − | 0.419189i | \(-0.137686\pi\) | |||||||
\(654\) | 11.5496 | + | 45.1688i | 0.451627 | + | 1.76624i | ||||
\(655\) | −1.82472 | + | 10.3485i | −0.0712978 | + | 0.404350i | ||||
\(656\) | 31.4851 | − | 11.4596i | 1.22929 | − | 0.447424i | ||||
\(657\) | −27.5663 | − | 16.7696i | −1.07546 | − | 0.654242i | ||||
\(658\) | −69.7786 | − | 40.2867i | −2.72025 | − | 1.57054i | ||||
\(659\) | −0.717513 | − | 0.602065i | −0.0279503 | − | 0.0234531i | 0.628705 | − | 0.777644i | \(-0.283585\pi\) |
−0.656656 | + | 0.754190i | \(0.728030\pi\) | |||||||
\(660\) | 28.6695 | + | 2.83978i | 1.11596 | + | 0.110538i | ||||
\(661\) | −7.16029 | − | 1.26255i | −0.278503 | − | 0.0491076i | 0.0326521 | − | 0.999467i | \(-0.489605\pi\) |
−0.311155 | + | 0.950359i | \(0.600716\pi\) | |||||||
\(662\) | −17.0386 | − | 20.3058i | −0.662224 | − | 0.789207i | ||||
\(663\) | 0.0777043 | + | 0.171751i | 0.00301779 | + | 0.00667025i | ||||
\(664\) | 54.3456 | + | 31.3764i | 2.10902 | + | 1.21764i | ||||
\(665\) | 5.52181 | + | 23.7164i | 0.214127 | + | 0.919682i | ||||
\(666\) | −56.4178 | − | 1.29375i | −2.18615 | − | 0.0501317i | ||||
\(667\) | 7.08046 | − | 19.4534i | 0.274157 | − | 0.753239i | ||||
\(668\) | 72.9325 | + | 26.5453i | 2.82184 | + | 1.02707i | ||||
\(669\) | −5.28278 | − | 7.73174i | −0.204244 | − | 0.298926i | ||||
\(670\) | 32.5288 | + | 11.8395i | 1.25670 | + | 0.457401i | ||||
\(671\) | 9.88082 | + | 27.1473i | 0.381445 | + | 1.04801i | ||||
\(672\) | −17.8259 | + | 63.6015i | −0.687648 | + | 2.45348i | ||||
\(673\) | − | 42.5302i | − | 1.63942i | −0.572780 | − | 0.819709i | \(-0.694135\pi\) | ||
0.572780 | − | 0.819709i | \(-0.305865\pi\) | |||||||
\(674\) | 19.3384 | + | 53.1319i | 0.744889 | + | 2.04656i | ||||
\(675\) | 9.43425 | + | 14.5111i | 0.363124 | + | 0.558532i | ||||
\(676\) | 3.18759 | + | 5.52107i | 0.122600 | + | 0.212349i | ||||
\(677\) | −1.76142 | − | 3.05087i | −0.0676969 | − | 0.117255i | 0.830190 | − | 0.557480i | \(-0.188232\pi\) |
−0.897887 | + | 0.440226i | \(0.854898\pi\) | |||||||
\(678\) | 2.06408 | + | 27.1775i | 0.0792705 | + | 1.04374i | ||||
\(679\) | 1.94445 | − | 5.34232i | 0.0746210 | − | 0.205020i | ||||
\(680\) | 0.0454589 | − | 0.257810i | 0.00174327 | − | 0.00988657i | ||||
\(681\) | −39.8595 | − | 3.94817i | −1.52742 | − | 0.151294i | ||||
\(682\) | 19.5143 | − | 16.3744i | 0.747240 | − | 0.627009i | ||||
\(683\) | −24.3871 | −0.933148 | −0.466574 | − | 0.884482i | \(-0.654512\pi\) | ||||
−0.466574 | + | 0.884482i | \(0.654512\pi\) | |||||||
\(684\) | 46.0236 | − | 41.1396i | 1.75976 | − | 1.57301i | ||||
\(685\) | 0.124136 | 0.00474298 | ||||||||
\(686\) | −40.3487 | + | 33.8566i | −1.54052 | + | 1.29265i | ||||
\(687\) | 11.5940 | − | 16.1604i | 0.442338 | − | 0.616558i | ||||
\(688\) | −4.80877 | + | 27.2719i | −0.183333 | + | 1.03973i | ||||
\(689\) | 7.18218 | − | 19.7329i | 0.273619 | − | 0.751763i | ||||
\(690\) | −29.0730 | + | 19.8644i | −1.10679 | + | 0.756223i | ||||
\(691\) | −10.0582 | − | 17.4214i | −0.382633 | − | 0.662740i | 0.608805 | − | 0.793320i | \(-0.291649\pi\) |
−0.991438 | + | 0.130580i | \(0.958316\pi\) | |||||||
\(692\) | −10.6678 | − | 18.4772i | −0.405529 | − | 0.702397i | ||||
\(693\) | 6.94109 | − | 34.6937i | 0.263670 | − | 1.31791i | ||||
\(694\) | −31.8397 | − | 87.4789i | −1.20862 | − | 3.32065i | ||||
\(695\) | − | 7.53241i | − | 0.285721i | ||||||
\(696\) | −29.1213 | − | 29.7967i | −1.10384 | − | 1.12944i | ||||
\(697\) | 0.0372311 | + | 0.102292i | 0.00141023 | + | 0.00387458i | ||||
\(698\) | 81.4989 | + | 29.6632i | 3.08478 | + | 1.12277i | ||||
\(699\) | −10.1197 | + | 21.0677i | −0.382761 | + | 0.796855i | ||||
\(700\) | 63.8944 | + | 23.2557i | 2.41498 | + | 0.878982i | ||||
\(701\) | 15.7809 | − | 43.3576i | 0.596035 | − | 1.63759i | −0.163061 | − | 0.986616i | \(-0.552137\pi\) |
0.759097 | − | 0.650978i | \(-0.225641\pi\) | |||||||
\(702\) | −34.8212 | − | 37.3026i | −1.31424 | − | 1.40790i | ||||
\(703\) | 31.5822 | − | 1.71403i | 1.19114 | − | 0.0646458i | ||||
\(704\) | −12.2268 | − | 7.05913i | −0.460814 | − | 0.266051i | ||||
\(705\) | −16.0049 | − | 1.58532i | −0.602780 | − | 0.0597067i | ||||
\(706\) | 46.6776 | + | 55.6282i | 1.75674 | + | 2.09360i | ||||
\(707\) | 27.5942 | + | 4.86560i | 1.03779 | + | 0.182990i | ||||
\(708\) | 36.5810 | + | 80.8555i | 1.37480 | + | 3.03873i | ||||
\(709\) | −10.9692 | − | 9.20426i | −0.411957 | − | 0.345673i | 0.413136 | − | 0.910669i | \(-0.364433\pi\) |
−0.825094 | + | 0.564996i | \(0.808878\pi\) | |||||||
\(710\) | −18.6710 | − | 10.7797i | −0.700712 | − | 0.404556i | ||||
\(711\) | −7.44834 | − | 13.6124i | −0.279335 | − | 0.510504i | ||||
\(712\) | −69.2569 | + | 25.2074i | −2.59551 | + | 0.944689i | ||||
\(713\) | −3.79752 | + | 21.5368i | −0.142218 | + | 0.806561i | ||||
\(714\) | −0.537145 | − | 0.150548i | −0.0201021 | − | 0.00563411i | ||||
\(715\) | 13.3479i | 0.499182i | ||||||||
\(716\) | 94.7703 | − | 34.4936i | 3.54173 | − | 1.28909i | ||||
\(717\) | 2.60375 | − | 26.2867i | 0.0972390 | − | 0.981693i | ||||
\(718\) | −13.6355 | − | 37.4631i | −0.508871 | − | 1.39811i | ||||
\(719\) | −22.4083 | + | 3.95119i | −0.835689 | + | 0.147354i | −0.575087 | − | 0.818092i | \(-0.695032\pi\) |
−0.260601 | + | 0.965446i | \(0.583921\pi\) | |||||||
\(720\) | 5.17617 | + | 33.8804i | 0.192904 | + | 1.26265i | ||||
\(721\) | − | 10.0286i | − | 0.373483i | ||||||
\(722\) | −34.0841 | + | 35.5587i | −1.26848 | + | 1.32336i | ||||
\(723\) | 0.850609 | + | 0.238404i | 0.0316345 | + | 0.00886634i | ||||
\(724\) | 78.0291 | − | 13.7586i | 2.89993 | − | 0.511336i | ||||
\(725\) | −8.70265 | + | 7.30239i | −0.323208 | + | 0.271204i | ||||
\(726\) | −14.4144 | − | 6.92381i | −0.534969 | − | 0.256967i | ||||
\(727\) | 2.91456 | + | 16.5293i | 0.108095 | + | 0.613037i | 0.989939 | + | 0.141495i | \(0.0451910\pi\) |
−0.881844 | + | 0.471541i | \(0.843698\pi\) | |||||||
\(728\) | −113.780 | − | 20.0625i | −4.21696 | − | 0.743564i | ||||
\(729\) | 22.3996 | + | 15.0751i | 0.829613 | + | 0.558338i | ||||
\(730\) | −31.1957 | + | 18.0109i | −1.15461 | + | 0.666612i | ||||
\(731\) | −0.0886034 | − | 0.0156232i | −0.00327711 | − | 0.000577843i | ||||
\(732\) | −71.5094 | + | 48.8594i | −2.64306 | + | 1.80590i | ||||
\(733\) | −8.45582 | + | 14.6459i | −0.312323 | + | 0.540959i | −0.978865 | − | 0.204508i | \(-0.934440\pi\) |
0.666542 | + | 0.745468i | \(0.267774\pi\) | |||||||
\(734\) | −85.0177 | −3.13806 | ||||||||
\(735\) | −11.3342 | + | 23.5963i | −0.418069 | + | 0.870361i | ||||
\(736\) | 52.7181 | − | 9.29563i | 1.94322 | − | 0.342641i | ||||
\(737\) | 21.5948 | + | 18.1202i | 0.795453 | + | 0.667465i | ||||
\(738\) | −18.4187 | − | 23.0015i | −0.678001 | − | 0.846697i | ||||
\(739\) | −24.2948 | − | 8.84257i | −0.893697 | − | 0.325279i | −0.145973 | − | 0.989289i | \(-0.546631\pi\) |
−0.747724 | + | 0.664010i | \(0.768853\pi\) | |||||||
\(740\) | −22.1261 | + | 38.3236i | −0.813372 | + | 1.40880i | ||||
\(741\) | 21.0694 | + | 19.3406i | 0.774003 | + | 0.710495i | ||||
\(742\) | 31.0707 | + | 53.8160i | 1.14064 | + | 1.97565i | ||||
\(743\) | 4.11140 | + | 23.3169i | 0.150833 | + | 0.855415i | 0.962497 | + | 0.271291i | \(0.0874506\pi\) |
−0.811665 | + | 0.584124i | \(0.801438\pi\) | |||||||
\(744\) | 35.7617 | + | 25.6565i | 1.31109 | + | 0.940614i | ||||
\(745\) | −17.4780 | + | 6.36147i | −0.640344 | + | 0.233066i | ||||
\(746\) | −9.98922 | − | 11.9047i | −0.365731 | − | 0.435861i | ||||
\(747\) | 5.23640 | − | 26.1732i | 0.191590 | − | 0.957626i | ||||
\(748\) | 0.184953 | − | 0.320347i | 0.00676254 | − | 0.0117131i | ||||
\(749\) | 15.4125 | 0.563162 | ||||||||
\(750\) | 48.1885 | − | 3.65983i | 1.75960 | − | 0.133638i | ||||
\(751\) | 1.44765 | − | 1.72524i | 0.0528254 | − | 0.0629549i | −0.738985 | − | 0.673722i | \(-0.764694\pi\) |
0.791810 | + | 0.610767i | \(0.209139\pi\) | |||||||
\(752\) | 55.0453 | + | 31.7804i | 2.00729 | + | 1.15891i | ||||
\(753\) | −7.89819 | − | 2.21366i | −0.287826 | − | 0.0806703i | ||||
\(754\) | 21.5294 | − | 25.6577i | 0.784053 | − | 0.934398i | ||||
\(755\) | −6.36932 | + | 5.34449i | −0.231803 | + | 0.194506i | ||||
\(756\) | 105.920 | − | 5.60578i | 3.85229 | − | 0.203880i | ||||
\(757\) | 0.800552 | + | 4.54016i | 0.0290966 | + | 0.165015i | 0.995894 | − | 0.0905302i | \(-0.0288562\pi\) |
−0.966797 | + | 0.255545i | \(0.917745\pi\) | |||||||
\(758\) | −1.59890 | − | 1.90550i | −0.0580748 | − | 0.0692108i | ||||
\(759\) | −27.7805 | + | 7.10347i | −1.00837 | + | 0.257840i | ||||
\(760\) | −9.00645 | − | 38.6830i | −0.326698 | − | 1.40318i | ||||
\(761\) | −23.5624 | + | 13.6038i | −0.854136 | + | 0.493136i | −0.862044 | − | 0.506833i | \(-0.830816\pi\) |
0.00790816 | + | 0.999969i | \(0.497483\pi\) | |||||||
\(762\) | 30.3564 | + | 21.7786i | 1.09970 | + | 0.788957i | ||||
\(763\) | 15.3561 | − | 42.1906i | 0.555929 | − | 1.52740i | ||||
\(764\) | 29.3317 | − | 34.9562i | 1.06118 | − | 1.26467i | ||||
\(765\) | −0.110074 | + | 0.0168168i | −0.00397972 | + | 0.000608013i | ||||
\(766\) | 1.01974 | − | 5.78323i | 0.0368447 | − | 0.208957i | ||||
\(767\) | −35.6082 | + | 20.5584i | −1.28574 | + | 0.742320i | ||||
\(768\) | −9.95142 | + | 35.5060i | −0.359091 | + | 1.28121i | ||||
\(769\) | −33.6523 | − | 28.2376i | −1.21353 | − | 1.01828i | −0.999137 | − | 0.0415287i | \(-0.986777\pi\) |
−0.214396 | − | 0.976747i | \(-0.568778\pi\) | |||||||
\(770\) | −30.2581 | − | 25.3896i | −1.09043 | − | 0.914976i | ||||
\(771\) | −0.881309 | + | 3.14445i | −0.0317396 | + | 0.113245i | ||||
\(772\) | 4.85358 | − | 2.80222i | 0.174684 | − | 0.100854i | ||||
\(773\) | −2.98559 | + | 16.9321i | −0.107384 | + | 0.609006i | 0.882857 | + | 0.469642i | \(0.155617\pi\) |
−0.990241 | + | 0.139364i | \(0.955494\pi\) | |||||||
\(774\) | 24.0754 | − | 3.67818i | 0.865371 | − | 0.132209i | ||||
\(775\) | 7.71410 | − | 9.19330i | 0.277099 | − | 0.330233i | ||||
\(776\) | −3.17152 | + | 8.71369i | −0.113851 | + | 0.312803i | ||||
\(777\) | 44.1575 | + | 31.6800i | 1.58414 | + | 1.13651i | ||||
\(778\) | 64.6199 | − | 37.3083i | 2.31673 | − | 1.33757i | ||||
\(779\) | 11.2859 | + | 12.0576i | 0.404360 | + | 0.432010i | ||||
\(780\) | −38.7679 | + | 9.91294i | −1.38811 | + | 0.354940i | ||||
\(781\) | −11.2854 | − | 13.4494i | −0.403824 | − | 0.481259i | ||||
\(782\) | 0.0785059 | + | 0.445229i | 0.00280737 | + | 0.0159214i | ||||
\(783\) | −8.03737 | + | 15.7943i | −0.287232 | + | 0.564444i | ||||
\(784\) | 79.2490 | − | 66.4978i | 2.83032 | − | 2.37492i | ||||
\(785\) | 8.59441 | − | 10.2424i | 0.306748 | − | 0.365568i | ||||
\(786\) | −35.1674 | − | 9.85653i | −1.25438 | − | 0.351571i | ||||
\(787\) | −12.0039 | − | 6.93045i | −0.427893 | − | 0.247044i | 0.270556 | − | 0.962704i | \(-0.412793\pi\) |
−0.698448 | + | 0.715660i | \(0.746126\pi\) | |||||||
\(788\) | 56.6629 | − | 67.5282i | 2.01853 | − | 2.40559i | ||||
\(789\) | −26.3347 | + | 2.00007i | −0.937539 | + | 0.0712045i | ||||
\(790\) | −17.3229 | −0.616320 | ||||||||
\(791\) | 13.1240 | − | 22.7314i | 0.466636 | − | 0.808237i | ||||
\(792\) | −11.3214 | + | 56.5878i | −0.402288 | + | 2.01076i | ||||
\(793\) | −25.7926 | − | 30.7384i | −0.915921 | − | 1.09155i | ||||
\(794\) | 28.8194 | − | 10.4894i | 1.02276 | − | 0.372255i | ||||
\(795\) | 10.0785 | + | 7.23066i | 0.357449 | + | 0.256445i | ||||
\(796\) | −4.09576 | − | 23.2282i | −0.145170 | − | 0.823302i | ||||
\(797\) | −14.0725 | − | 24.3743i | −0.498474 | − | 0.863383i | 0.501524 | − | 0.865144i | \(-0.332773\pi\) |
−0.999998 | + | 0.00176080i | \(0.999440\pi\) | |||||||
\(798\) | −83.9200 | + | 10.9733i | −2.97074 | + | 0.388451i | ||||
\(799\) | −0.103251 | + | 0.178836i | −0.00365276 | + | 0.00632676i | ||||
\(800\) | −27.6046 | − | 10.0473i | −0.975970 | − | 0.355224i | ||||
\(801\) | 19.5948 | + | 24.4703i | 0.692350 | + | 0.864616i | ||||
\(802\) | 31.1551 | + | 26.1423i | 1.10013 | + | 0.923116i | ||||
\(803\) | −28.8887 | + | 5.09385i | −1.01946 | + | 0.179758i | ||||
\(804\) | −36.5911 | + | 76.1776i | −1.29047 | + | 2.68658i | ||||
\(805\) | 33.9094 | 1.19515 | ||||||||
\(806\) | −17.6911 | + | 30.6418i | −0.623141 | + | 1.07931i | ||||
\(807\) | −20.3218 | + | 13.8850i | −0.715361 | + | 0.488777i | ||||
\(808\) | −45.0080 | − | 7.93613i | −1.58338 | − | 0.279192i | ||||
\(809\) | 20.6019 | − | 11.8945i | 0.724326 | − | 0.418190i | −0.0920169 | − | 0.995757i | \(-0.529331\pi\) |
0.816343 | + | 0.577568i | \(0.195998\pi\) | |||||||
\(810\) | 26.7675 | − | 13.8588i | 0.940515 | − | 0.486948i | ||||
\(811\) | −6.09155 | − | 1.07410i | −0.213903 | − | 0.0377169i | 0.0656695 | − | 0.997841i | \(-0.479082\pi\) |
−0.279573 | + | 0.960125i | \(0.590193\pi\) | |||||||
\(812\) | 12.0893 | + | 68.5617i | 0.424250 | + | 2.40604i | ||||
\(813\) | 16.9049 | + | 8.12008i | 0.592879 | + | 0.284784i | ||||
\(814\) | −39.3017 | + | 32.9780i | −1.37752 | + | 1.15588i | ||||
\(815\) | 27.9924 | − | 4.93581i | 0.980530 | − | 0.172894i | ||||
\(816\) | 0.423730 | + | 0.118761i | 0.0148335 | + | 0.00415745i | ||||
\(817\) | −13.2944 | + | 3.09531i | −0.465114 | + | 0.108291i | ||||
\(818\) | − | 80.7299i | − | 2.82265i | ||||||
\(819\) | 7.42179 | + | 48.5790i | 0.259338 | + | 1.69749i | ||||
\(820\) | −22.7560 | + | 4.01249i | −0.794673 | + | 0.140122i | ||||
\(821\) | 1.06789 | + | 2.93402i | 0.0372698 | + | 0.102398i | 0.956932 | − | 0.290313i | \(-0.0937595\pi\) |
−0.919662 | + | 0.392711i | \(0.871537\pi\) | |||||||
\(822\) | −0.0425282 | + | 0.429351i | −0.00148334 | + | 0.0149753i | ||||
\(823\) | −28.6275 | + | 10.4195i | −0.997891 | + | 0.363203i | −0.788771 | − | 0.614687i | \(-0.789282\pi\) |
−0.209120 | + | 0.977890i | \(0.567060\pi\) | |||||||
\(824\) | 16.3573i | 0.569832i | ||||||||
\(825\) | 15.1516 | + | 4.24662i | 0.527513 | + | 0.147848i | ||||
\(826\) | 21.1283 | − | 119.825i | 0.735149 | − | 4.16923i | ||||
\(827\) | −51.0866 | + | 18.5940i | −1.77646 | + | 0.646577i | −0.776594 | + | 0.630002i | \(0.783054\pi\) |
−0.999863 | + | 0.0165756i | \(0.994724\pi\) | |||||||
\(828\) | −41.2630 | − | 75.4111i | −1.43399 | − | 2.62072i | ||||
\(829\) | −2.18471 | − | 1.26134i | −0.0758779 | − | 0.0438082i | 0.461581 | − | 0.887098i | \(-0.347282\pi\) |
−0.537459 | + | 0.843290i | \(0.680616\pi\) | |||||||
\(830\) | −22.8269 | − | 19.1541i | −0.792334 | − | 0.664847i | ||||
\(831\) | 10.7934 | + | 23.8569i | 0.374420 | + | 0.827586i | ||||
\(832\) | 19.3116 | + | 3.40516i | 0.669509 | + | 0.118053i | ||||
\(833\) | 0.216044 | + | 0.257471i | 0.00748549 | + | 0.00892085i | ||||
\(834\) | 26.0525 | + | 2.58056i | 0.902124 | + | 0.0893574i | ||||
\(835\) | −18.3948 | − | 10.6203i | −0.636579 | − | 0.367529i | ||||
\(836\) | 6.73587 | − | 55.7153i | 0.232965 | − | 1.92695i | ||||
\(837\) | 5.46424 | − | 17.9057i | 0.188872 | − | 0.618912i | ||||
\(838\) | −7.36923 | + | 20.2468i | −0.254566 | + | 0.699414i | ||||
\(839\) | 14.5963 | + | 5.31263i | 0.503921 | + | 0.183412i | 0.581457 | − | 0.813577i | \(-0.302483\pi\) |
−0.0775358 | + | 0.996990i | \(0.524705\pi\) | |||||||
\(840\) | 29.5488 | − | 61.5164i | 1.01953 | − | 2.12252i | ||||
\(841\) | 16.3207 | + | 5.94025i | 0.562782 | + | 0.204836i | ||||
\(842\) | 10.4648 | + | 28.7519i | 0.360642 | + | 0.990855i | ||||
\(843\) | −7.79692 | − | 7.97776i | −0.268540 | − | 0.274769i | ||||
\(844\) | 32.7654i | 1.12783i | ||||||||
\(845\) | −0.596725 | − | 1.63949i | −0.0205280 | − | 0.0564001i | ||||
\(846\) | 10.9664 | − | 54.8134i | 0.377032 | − | 1.88452i | ||||
\(847\) | 7.69991 | + | 13.3366i | 0.264572 | + | 0.458253i | ||||
\(848\) | −24.5103 | − | 42.4530i | −0.841686 | − | 1.45784i | ||||
\(849\) | −6.37522 | + | 4.35592i | −0.218797 | + | 0.149495i | ||||
\(850\) | 0.0848538 | − | 0.233134i | 0.00291046 | − | 0.00799643i | ||||
\(851\) | 7.64820 | − | 43.3751i | 0.262177 | − | 1.48688i | ||||
\(852\) | 30.6817 | − | 42.7661i | 1.05114 | − | 1.46514i | ||||
\(853\) | −32.2536 | + | 27.0640i | −1.10434 | + | 0.926653i | −0.997709 | − | 0.0676459i | \(-0.978451\pi\) |
−0.106632 | + | 0.994299i | \(0.534007\pi\) | |||||||
\(854\) | 118.742 | 4.06326 | ||||||||
\(855\) | −14.3591 | + | 8.90052i | −0.491070 | + | 0.304391i | ||||
\(856\) | −25.1389 | −0.859229 | ||||||||
\(857\) | 5.50078 | − | 4.61570i | 0.187903 | − | 0.157669i | −0.543984 | − | 0.839096i | \(-0.683085\pi\) |
0.731886 | + | 0.681427i | \(0.238640\pi\) | |||||||
\(858\) | −46.1665 | − | 4.57290i | −1.57610 | − | 0.156116i | ||||
\(859\) | 7.89128 | − | 44.7537i | 0.269247 | − | 1.52698i | −0.487415 | − | 0.873170i | \(-0.662060\pi\) |
0.756662 | − | 0.653806i | \(-0.226829\pi\) | |||||||
\(860\) | 6.53190 | − | 17.9462i | 0.222736 | − | 0.611962i | ||||
\(861\) | 2.14905 | + | 28.2962i | 0.0732394 | + | 0.964333i | ||||
\(862\) | 38.0437 | + | 65.8937i | 1.29577 | + | 2.24435i | ||||
\(863\) | 28.6547 | + | 49.6314i | 0.975417 | + | 1.68947i | 0.678553 | + | 0.734551i | \(0.262607\pi\) |
0.296863 | + | 0.954920i | \(0.404059\pi\) | |||||||
\(864\) | −45.7613 | + | 2.42189i | −1.55683 | + | 0.0823944i | ||||
\(865\) | 1.99704 | + | 5.48682i | 0.0679013 | + | 0.186557i | ||||
\(866\) | 67.6655i | 2.29937i | ||||||||
\(867\) | 7.94605 | − | 28.3509i | 0.269862 | − | 0.962849i | ||||
\(868\) | −25.1537 | − | 69.1092i | −0.853772 | − | 2.34572i | ||||
\(869\) | −13.2562 | − | 4.82485i | −0.449684 | − | 0.163672i | ||||
\(870\) | 11.1613 | + | 16.3354i | 0.378404 | + | 0.553822i | ||||
\(871\) | −36.7931 | − | 13.3916i | −1.24669 | − | 0.453756i | ||||
\(872\) | −25.0469 | + | 68.8157i | −0.848194 | + | 2.33039i | ||||
\(873\) | 3.94319 | + | 0.0904234i | 0.133457 | + | 0.00306037i | ||||
\(874\) | 37.4642 | + | 57.4557i | 1.26725 | + | 1.94347i | ||||
\(875\) | −40.3052 | − | 23.2702i | −1.36257 | − | 0.786678i | ||||
\(876\) | −36.2492 | − | 80.1221i | −1.22475 | − | 2.70708i | ||||
\(877\) | 5.73180 | + | 6.83089i | 0.193549 | + | 0.230663i | 0.854087 | − | 0.520130i | \(-0.174116\pi\) |
−0.660538 | + | 0.750792i | \(0.729672\pi\) | |||||||
\(878\) | −36.3918 | − | 6.41685i | −1.22816 | − | 0.216558i | ||||
\(879\) | 11.6098 | + | 1.14998i | 0.391591 | + | 0.0387879i | ||||
\(880\) | 23.8693 | + | 20.0287i | 0.804633 | + | 0.675168i | ||||
\(881\) | 1.16784 | + | 0.674251i | 0.0393454 | + | 0.0227161i | 0.519544 | − | 0.854444i | \(-0.326102\pi\) |
−0.480198 | + | 0.877160i | \(0.659435\pi\) | |||||||
\(882\) | −77.7298 | − | 47.2858i | −2.61730 | − | 1.59220i | ||||
\(883\) | −0.109843 | + | 0.0399796i | −0.00369652 | + | 0.00134542i | −0.343868 | − | 0.939018i | \(-0.611737\pi\) |
0.340171 | + | 0.940364i | \(0.389515\pi\) | |||||||
\(884\) | −0.0892168 | + | 0.505973i | −0.00300068 | + | 0.0170177i | ||||
\(885\) | −6.01663 | − | 23.5301i | −0.202247 | − | 0.790956i | ||||
\(886\) | 44.5816i | 1.49775i | ||||||||
\(887\) | −37.4176 | + | 13.6189i | −1.25636 | + | 0.457277i | −0.882546 | − | 0.470226i | \(-0.844172\pi\) |
−0.373814 | + | 0.927504i | \(0.621950\pi\) | |||||||
\(888\) | −72.0238 | − | 51.6721i | −2.41696 | − | 1.73400i | ||||
\(889\) | −12.3057 | − | 33.8095i | −0.412719 | − | 1.13394i | ||||
\(890\) | 34.4658 | − | 6.07725i | 1.15530 | − | 0.203710i | ||||
\(891\) | 24.3436 | − | 3.14989i | 0.815541 | − | 0.105525i | ||||
\(892\) | − | 25.5217i | − | 0.854528i | ||||||
\(893\) | −3.76034 | + | 31.1034i | −0.125835 | + | 1.04084i | ||||
\(894\) | −16.0147 | − | 62.6309i | −0.535611 | − | 2.09469i | ||||
\(895\) | −27.1812 | + | 4.79277i | −0.908566 | + | 0.160205i | ||||
\(896\) | 13.9742 | − | 11.7257i | 0.466845 | − | 0.391729i | ||||
\(897\) | 32.8842 | − | 22.4684i | 1.09797 | − | 0.750198i | ||||
\(898\) | 9.08748 | + | 51.5377i | 0.303253 | + | 1.71983i | ||||
\(899\) | 12.1010 | + | 2.13374i | 0.403591 | + | 0.0711641i | ||||
\(900\) | −1.08147 | + | 47.1607i | −0.0360489 | + | 1.57202i | ||||
\(901\) | 0.137925 | − | 0.0796312i | 0.00459496 | − | 0.00265290i | ||||
\(902\) | −26.3826 | − | 4.65196i | −0.878443 | − | 0.154893i | ||||
\(903\) | −21.1417 | − | 10.1552i | −0.703553 | − | 0.337944i | ||||
\(904\) | −21.4061 | + | 37.0765i | −0.711957 | + | 1.23315i | ||||
\(905\) | −21.6838 | −0.720793 | ||||||||
\(906\) | −16.3030 | − | 23.8607i | −0.541631 | − | 0.792718i | ||||
\(907\) | −4.09151 | + | 0.721444i | −0.135856 | + | 0.0239551i | −0.241163 | − | 0.970485i | \(-0.577529\pi\) |
0.105306 | + | 0.994440i | \(0.466418\pi\) | |||||||
\(908\) | −83.6269 | − | 70.1713i | −2.77526 | − | 2.32872i | ||||
\(909\) | 2.93585 | + | 19.2165i | 0.0973759 | + | 0.637370i | ||||
\(910\) | 51.5536 | + | 18.7640i | 1.70899 | + | 0.622020i | ||||
\(911\) | 27.2343 | − | 47.1713i | 0.902314 | − | 1.56285i | 0.0778310 | − | 0.996967i | \(-0.475201\pi\) |
0.824483 | − | 0.565887i | \(-0.191466\pi\) | |||||||
\(912\) | 66.2008 | − | 8.65636i | 2.19213 | − | 0.286641i | ||||
\(913\) | −12.1332 | − | 21.0153i | −0.401550 | − | 0.695505i | ||||
\(914\) | −3.15460 | − | 17.8906i | −0.104345 | − | 0.591769i | ||||
\(915\) | 21.5947 | − | 9.76998i | 0.713899 | − | 0.322986i | ||||
\(916\) | 50.9381 | − | 18.5400i | 1.68304 | − | 0.612577i | ||||
\(917\) | 22.6083 | + | 26.9435i | 0.746591 | + | 0.889753i | ||||
\(918\) | −0.0204540 | − | 0.386475i | −0.000675083 | − | 0.0127556i | ||||
\(919\) | −11.2676 | + | 19.5161i | −0.371684 | + | 0.643775i | −0.989825 | − | 0.142292i | \(-0.954553\pi\) |
0.618141 | + | 0.786067i | \(0.287886\pi\) | |||||||
\(920\) | −55.3085 | −1.82347 | ||||||||
\(921\) | 16.1802 | + | 23.6810i | 0.533157 | + | 0.780316i | ||||
\(922\) | 11.6288 | − | 13.8587i | 0.382974 | − | 0.456410i | ||||
\(923\) | 21.1187 | + | 12.1929i | 0.695129 | + | 0.401333i | ||||
\(924\) | 68.9637 | − | 67.4004i | 2.26874 | − | 2.21731i | ||||
\(925\) | −15.5362 | + | 18.5153i | −0.510826 | + | 0.608778i | ||||
\(926\) | −19.4578 | + | 16.3270i | −0.639422 | + | 0.536539i | ||||
\(927\) | 6.59078 | − | 2.22911i | 0.216470 | − | 0.0732135i | ||||
\(928\) | −5.22299 | − | 29.6210i | −0.171453 | − | 0.972358i | ||||
\(929\) | −15.9927 | − | 19.0593i | −0.524702 | − | 0.625315i | 0.436984 | − | 0.899469i | \(-0.356047\pi\) |
−0.961686 | + | 0.274154i | \(0.911602\pi\) | |||||||
\(930\) | −14.6080 | − | 14.9468i | −0.479015 | − | 0.490126i | ||||
\(931\) | 45.4780 | + | 23.0658i | 1.49048 | + | 0.755951i | ||||
\(932\) | −55.1657 | + | 31.8499i | −1.80701 | + | 1.04328i | ||||
\(933\) | −9.78902 | + | 4.42879i | −0.320478 | + | 0.144992i | ||||
\(934\) | −25.3491 | + | 69.6461i | −0.829448 | + | 2.27889i | ||||
\(935\) | −0.0650711 | + | 0.0775487i | −0.00212805 | + | 0.00253611i | ||||
\(936\) | −12.1054 | − | 79.2356i | −0.395679 | − | 2.58990i | ||||
\(937\) | −0.375976 | + | 2.13226i | −0.0122826 | + | 0.0696580i | −0.990333 | − | 0.138711i | \(-0.955704\pi\) |
0.978050 | + | 0.208369i | \(0.0668153\pi\) | |||||||
\(938\) | 100.343 | − | 57.9330i | 3.27631 | − | 1.89158i | ||||
\(939\) | 18.6069 | − | 4.75778i | 0.607214 | − | 0.155264i | ||||
\(940\) | −33.5790 | − | 28.1761i | −1.09523 | − | 0.919003i | ||||
\(941\) | 17.2067 | + | 14.4381i | 0.560922 | + | 0.470669i | 0.878619 | − | 0.477523i | \(-0.158465\pi\) |
−0.317698 | + | 0.948192i | \(0.602910\pi\) | |||||||
\(942\) | 32.4813 | + | 33.2346i | 1.05830 | + | 1.08284i | ||||
\(943\) | 19.9172 | − | 11.4992i | 0.648593 | − | 0.374465i | ||||
\(944\) | −16.6672 | + | 94.5244i | −0.542471 | + | 3.07651i | ||||
\(945\) | −28.8134 | − | 3.52277i | −0.937301 | − | 0.114596i | ||||
\(946\) | 14.2324 | − | 16.9615i | 0.462734 | − | 0.551465i | ||||
\(947\) | −5.16882 | + | 14.2012i | −0.167964 | + | 0.461477i | −0.994906 | − | 0.100810i | \(-0.967856\pi\) |
0.826942 | + | 0.562288i | \(0.190079\pi\) | |||||||
\(948\) | 4.16859 | − | 42.0848i | 0.135390 | − | 1.36685i | ||||
\(949\) | 35.2852 | − | 20.3719i | 1.14541 | − | 0.661300i | ||||
\(950\) | −2.03982 | − | 37.5851i | −0.0661805 | − | 1.21942i | ||||
\(951\) | −11.5396 | + | 41.1725i | −0.374197 | + | 1.33511i | ||||
\(952\) | −0.563235 | − | 0.671238i | −0.0182546 | − | 0.0217549i | ||||
\(953\) | −7.40059 | − | 41.9708i | −0.239729 | − | 1.35957i | −0.832423 | − | 0.554141i | \(-0.813047\pi\) |
0.592694 | − | 0.805428i | \(-0.298064\pi\) | |||||||
\(954\) | −28.4617 | + | 32.3817i | −0.921481 | + | 1.04840i | ||||
\(955\) | −9.56651 | + | 8.02725i | −0.309565 | + | 0.259756i | ||||
\(956\) | 46.2768 | − | 55.1505i | 1.49670 | − | 1.78370i | ||||
\(957\) | 3.99126 | + | 15.6092i | 0.129019 | + | 0.504574i | ||||
\(958\) | 73.1522 | + | 42.2344i | 2.36344 | + | 1.36453i | ||||
\(959\) | 0.267078 | − | 0.318291i | 0.00862440 | − | 0.0102782i | ||||
\(960\) | −5.01525 | + | 10.4410i | −0.161866 | + | 0.336983i | ||||
\(961\) | 18.0195 | 0.581275 | ||||||||
\(962\) | 35.6297 | − | 61.7125i | 1.14875 | − | 1.98969i | ||||
\(963\) | 3.42583 | + | 10.1291i | 0.110396 | + | 0.326407i | ||||
\(964\) | 1.54760 | + | 1.84436i | 0.0498448 | + | 0.0594027i | ||||
\(965\) | −1.44128 | + | 0.524582i | −0.0463963 | + | 0.0168869i | ||||
\(966\) | −11.6171 | + | 117.283i | −0.373775 | + | 3.77352i | ||||
\(967\) | 0.960097 | + | 5.44498i | 0.0308746 | + | 0.175099i | 0.996346 | − | 0.0854112i | \(-0.0272204\pi\) |
−0.965471 | + | 0.260510i | \(0.916109\pi\) | |||||||
\(968\) | −12.5591 | − | 21.7530i | −0.403664 | − | 0.699167i | ||||
\(969\) | 0.0281236 | + | 0.215079i | 0.000903459 | + | 0.00690933i | ||||
\(970\) | 2.20164 | − | 3.81335i | 0.0706903 | − | 0.122439i | ||||
\(971\) | 46.2186 | + | 16.8222i | 1.48322 | + | 0.539850i | 0.951656 | − | 0.307166i | \(-0.0993805\pi\) |
0.531569 | + | 0.847015i | \(0.321603\pi\) | |||||||
\(972\) | 27.2277 | + | 68.3650i | 0.873328 | + | 2.19281i | ||||
\(973\) | −19.3135 | − | 16.2060i | −0.619163 | − | 0.519540i | ||||
\(974\) | 77.6193 | − | 13.6864i | 2.48708 | − | 0.438540i | ||||
\(975\) | −21.7930 | + | 1.65514i | −0.697935 | + | 0.0530069i | ||||
\(976\) | −93.6700 | −2.99830 | ||||||||
\(977\) | 17.3588 | − | 30.0663i | 0.555357 | − | 0.961906i | −0.442519 | − | 0.896759i | \(-0.645915\pi\) |
0.997876 | − | 0.0651470i | \(-0.0207516\pi\) | |||||||
\(978\) | 7.48156 | + | 98.5087i | 0.239234 | + | 3.14996i | ||||
\(979\) | 28.0673 | + | 4.94902i | 0.897034 | + | 0.158171i | ||||
\(980\) | −61.7867 | + | 35.6725i | −1.97370 | + | 1.13952i | ||||
\(981\) | 31.1410 | + | 0.714112i | 0.994256 | + | 0.0227998i | ||||
\(982\) | 31.5643 | + | 5.56563i | 1.00726 | + | 0.177606i | ||||
\(983\) | −9.75740 | − | 55.3370i | −0.311213 | − | 1.76498i | −0.592712 | − | 0.805414i | \(-0.701943\pi\) |
0.281499 | − | 0.959561i | \(-0.409168\pi\) | |||||||
\(984\) | −3.50524 | − | 46.1530i | −0.111743 | − | 1.47131i | ||||
\(985\) | −18.4805 | + | 15.5070i | −0.588839 | + | 0.494095i | ||||
\(986\) | 0.250163 | − | 0.0441106i | 0.00796683 | − | 0.00140477i | ||||
\(987\) | −38.4994 | + | 37.6267i | −1.22545 | + | 1.19767i | ||||
\(988\) | 17.6759 | + | 75.9185i | 0.562345 | + | 2.41529i | ||||
\(989\) | 19.0082i | 0.604426i | ||||||||
\(990\) | 9.96041 | − | 25.5292i | 0.316563 | − | 0.811370i | ||||
\(991\) | −46.3032 | + | 8.16451i | −1.47087 | + | 0.259354i | −0.850924 | − | 0.525289i | \(-0.823957\pi\) |
−0.619947 | + | 0.784643i | \(0.712846\pi\) | |||||||
\(992\) | 10.8673 | + | 29.8576i | 0.345036 | + | 0.947979i | ||||
\(993\) | −16.1356 | + | 7.30013i | −0.512047 | + | 0.231663i | ||||
\(994\) | −67.8106 | + | 24.6810i | −2.15082 | + | 0.782835i | ||||
\(995\) | 6.45497i | 0.204636i | ||||||||
\(996\) | 52.0266 | − | 50.8473i | 1.64853 | − | 1.61116i | ||||
\(997\) | −9.18816 | + | 52.1087i | −0.290992 | + | 1.65030i | 0.392069 | + | 0.919936i | \(0.371760\pi\) |
−0.683061 | + | 0.730362i | \(0.739352\pi\) | |||||||
\(998\) | 57.1548 | − | 20.8026i | 1.80920 | − | 0.658496i | ||||
\(999\) | −11.0050 | + | 36.0621i | −0.348182 | + | 1.14095i |
(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 | 171.2.x.a.110.18 | yes | 108 | |
3.2 | odd | 2 | 513.2.bo.a.224.1 | 108 | |||
9.4 | even | 3 | 513.2.cd.a.395.18 | 108 | |||
9.5 | odd | 6 | 171.2.bd.a.167.1 | yes | 108 | ||
19.14 | odd | 18 | 171.2.bd.a.128.1 | yes | 108 | ||
57.14 | even | 18 | 513.2.cd.a.413.18 | 108 | |||
171.14 | even | 18 | inner | 171.2.x.a.14.18 | ✓ | 108 | |
171.166 | odd | 18 | 513.2.bo.a.71.1 | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.x.a.14.18 | ✓ | 108 | 171.14 | even | 18 | inner | |
171.2.x.a.110.18 | yes | 108 | 1.1 | even | 1 | trivial | |
171.2.bd.a.128.1 | yes | 108 | 19.14 | odd | 18 | ||
171.2.bd.a.167.1 | yes | 108 | 9.5 | odd | 6 | ||
513.2.bo.a.71.1 | 108 | 171.166 | odd | 18 | |||
513.2.bo.a.224.1 | 108 | 3.2 | odd | 2 | |||
513.2.cd.a.395.18 | 108 | 9.4 | even | 3 | |||
513.2.cd.a.413.18 | 108 | 57.14 | even | 18 |