Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(37,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 9, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bd (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | no (minimal twist has level 64) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 37.5 | ||
Character | \(\chi\) | \(=\) | 576.37 |
Dual form | 576.2.bd.a.109.5 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809383 | + | 1.15970i | 0.572320 | + | 0.820030i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.689800 | + | 1.87728i | −0.344900 | + | 0.938640i | ||||
\(5\) | 0.159018 | − | 0.799435i | 0.0711148 | − | 0.357518i | −0.928800 | − | 0.370582i | \(-0.879158\pi\) |
0.999915 | + | 0.0130634i | \(0.00415834\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.742008 | + | 1.79137i | −0.280453 | + | 0.677073i | −0.999846 | − | 0.0175299i | \(-0.994420\pi\) |
0.719394 | + | 0.694603i | \(0.244420\pi\) | |||||||
\(8\) | −2.73539 | + | 0.719478i | −0.967106 | + | 0.254374i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.05581 | − | 0.462637i | 0.333876 | − | 0.146299i | ||||
\(11\) | −1.29226 | + | 0.863458i | −0.389630 | + | 0.260342i | −0.734920 | − | 0.678154i | \(-0.762780\pi\) |
0.345290 | + | 0.938496i | \(0.387780\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.07211 | + | 5.38985i | 0.297349 | + | 1.49487i | 0.783716 | + | 0.621119i | \(0.213322\pi\) |
−0.486367 | + | 0.873755i | \(0.661678\pi\) | |||||||
\(14\) | −2.67801 | + | 0.589395i | −0.715729 | + | 0.157522i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.04835 | − | 2.58989i | −0.762088 | − | 0.647473i | ||||
\(17\) | −1.43298 | + | 1.43298i | −0.347548 | + | 0.347548i | −0.859195 | − | 0.511648i | \(-0.829035\pi\) |
0.511648 | + | 0.859195i | \(0.329035\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.0883441 | − | 0.0175727i | 0.0202675 | − | 0.00403146i | −0.184946 | − | 0.982749i | \(-0.559211\pi\) |
0.205214 | + | 0.978717i | \(0.434211\pi\) | |||||||
\(20\) | 1.39107 | + | 0.849970i | 0.311053 | + | 0.190059i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.04728 | − | 0.799759i | −0.436481 | − | 0.170509i | ||||
\(23\) | −3.31519 | + | 1.37320i | −0.691266 | + | 0.286332i | −0.700527 | − | 0.713625i | \(-0.747052\pi\) |
0.00926165 | + | 0.999957i | \(0.497052\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.00559 | + | 1.65917i | 0.801118 | + | 0.331834i | ||||
\(26\) | −5.38285 | + | 5.60577i | −1.05566 | + | 1.09938i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.85106 | − | 2.62864i | −0.538799 | − | 0.496766i | ||||
\(29\) | 1.04042 | + | 0.695186i | 0.193201 | + | 0.129093i | 0.648409 | − | 0.761293i | \(-0.275435\pi\) |
−0.455207 | + | 0.890385i | \(0.650435\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.58743i | 0.464717i | 0.972630 | + | 0.232358i | \(0.0746442\pi\) | ||||
−0.972630 | + | 0.232358i | \(0.925356\pi\) | |||||||
\(32\) | 0.536209 | − | 5.63138i | 0.0947893 | − | 0.995497i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.82165 | − | 0.501994i | −0.483908 | − | 0.0860912i | ||||
\(35\) | 1.31409 | + | 0.878046i | 0.222122 | + | 0.148417i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.60572 | + | 0.319397i | 0.263979 | + | 0.0525086i | 0.325305 | − | 0.945609i | \(-0.394533\pi\) |
−0.0613263 | + | 0.998118i | \(0.519533\pi\) | |||||||
\(38\) | 0.0918832 | + | 0.0882294i | 0.0149054 | + | 0.0143127i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.140201 | + | 2.30118i | 0.0221677 | + | 0.363848i | ||||
\(41\) | −0.605183 | + | 0.250675i | −0.0945137 | + | 0.0391488i | −0.429439 | − | 0.903096i | \(-0.641289\pi\) |
0.334926 | + | 0.942245i | \(0.391289\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.04263 | − | 7.54683i | −0.768994 | − | 1.15088i | −0.984672 | − | 0.174416i | \(-0.944196\pi\) |
0.215678 | − | 0.976465i | \(-0.430804\pi\) | |||||||
\(44\) | −0.729554 | − | 3.02154i | −0.109984 | − | 0.455514i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.27576 | − | 2.73318i | −0.630426 | − | 0.402986i | ||||
\(47\) | 3.86580 | − | 3.86580i | 0.563885 | − | 0.563885i | −0.366524 | − | 0.930409i | \(-0.619452\pi\) |
0.930409 | + | 0.366524i | \(0.119452\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.29133 | + | 2.29133i | 0.327333 | + | 0.327333i | ||||
\(50\) | 1.31792 | + | 5.98817i | 0.186382 | + | 0.846856i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −10.8578 | − | 1.70527i | −1.50570 | − | 0.236478i | ||||
\(53\) | 8.70867 | − | 5.81895i | 1.19623 | − | 0.799294i | 0.212186 | − | 0.977229i | \(-0.431942\pi\) |
0.984042 | + | 0.177935i | \(0.0569417\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.484787 | + | 1.17038i | 0.0653687 | + | 0.157814i | ||||
\(56\) | 0.740832 | − | 5.43394i | 0.0989979 | − | 0.726141i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.0358915 | + | 1.76924i | 0.00471278 | + | 0.232313i | ||||
\(59\) | −1.17041 | + | 5.88407i | −0.152375 | + | 0.766040i | 0.826716 | + | 0.562619i | \(0.190206\pi\) |
−0.979091 | + | 0.203421i | \(0.934794\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.52821 | − | 5.28034i | 0.451741 | − | 0.676078i | −0.533782 | − | 0.845622i | \(-0.679230\pi\) |
0.985523 | + | 0.169544i | \(0.0542296\pi\) | |||||||
\(62\) | −3.00064 | + | 2.09422i | −0.381082 | + | 0.265967i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.96470 | − | 3.93610i | 0.870588 | − | 0.492013i | ||||
\(65\) | 4.47932 | 0.555591 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.15404 | − | 4.72036i | 0.385328 | − | 0.576684i | −0.587208 | − | 0.809436i | \(-0.699773\pi\) |
0.972536 | + | 0.232752i | \(0.0747731\pi\) | |||||||
\(68\) | −1.70163 | − | 3.67856i | −0.206353 | − | 0.446091i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.0453323 | + | 2.23462i | 0.00541824 | + | 0.267088i | ||||
\(71\) | −5.01419 | + | 12.1053i | −0.595075 | + | 1.43664i | 0.283471 | + | 0.958981i | \(0.408514\pi\) |
−0.878546 | + | 0.477657i | \(0.841486\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.75399 | − | 4.23450i | −0.205289 | − | 0.495611i | 0.787381 | − | 0.616466i | \(-0.211436\pi\) |
−0.992670 | + | 0.120855i | \(0.961436\pi\) | |||||||
\(74\) | 0.929237 | + | 2.12066i | 0.108022 | + | 0.246522i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0279508 | + | 0.177968i | −0.00320617 | + | 0.0204143i | ||||
\(77\) | −0.587905 | − | 2.95560i | −0.0669979 | − | 0.336821i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.46021 | + | 7.46021i | 0.839340 | + | 0.839340i | 0.988772 | − | 0.149432i | \(-0.0477446\pi\) |
−0.149432 | + | 0.988772i | \(0.547745\pi\) | |||||||
\(80\) | −2.55519 | + | 2.02512i | −0.285679 | + | 0.226416i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.780532 | − | 0.498937i | −0.0861953 | − | 0.0550984i | ||||
\(83\) | 2.65306 | − | 0.527725i | 0.291211 | − | 0.0579254i | −0.0473232 | − | 0.998880i | \(-0.515069\pi\) |
0.338534 | + | 0.940954i | \(0.390069\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.917704 | + | 1.37344i | 0.0995389 | + | 0.148971i | ||||
\(86\) | 4.67063 | − | 11.9562i | 0.503647 | − | 1.28927i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.91358 | − | 3.29164i | 0.310589 | − | 0.350890i | ||||
\(89\) | −7.09322 | − | 2.93811i | −0.751880 | − | 0.311439i | −0.0263716 | − | 0.999652i | \(-0.508395\pi\) |
−0.725508 | + | 0.688213i | \(0.758395\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.4507 | − | 2.07877i | −1.09553 | − | 0.217915i | ||||
\(92\) | −0.291057 | − | 7.17078i | −0.0303448 | − | 0.747605i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.61208 | + | 1.35425i | 0.785126 | + | 0.139680i | ||||
\(95\) | − | 0.0734197i | − | 0.00753271i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 11.4524i | − | 1.16281i | −0.813614 | − | 0.581406i | \(-0.802503\pi\) | ||
0.813614 | − | 0.581406i | \(-0.197497\pi\) | |||||||
\(98\) | −0.802689 | + | 4.51182i | −0.0810838 | + | 0.455762i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −5.87778 | + | 6.37511i | −0.587778 | + | 0.637511i | ||||
\(101\) | 11.4055 | + | 2.26869i | 1.13489 | + | 0.225743i | 0.726566 | − | 0.687097i | \(-0.241115\pi\) |
0.408319 | + | 0.912839i | \(0.366115\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.3890 | + | 5.13170i | 1.22073 | + | 0.505641i | 0.897640 | − | 0.440729i | \(-0.145280\pi\) |
0.323086 | + | 0.946370i | \(0.395280\pi\) | |||||||
\(104\) | −6.81050 | − | 13.9720i | −0.667825 | − | 1.37006i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 13.7969 | + | 5.38968i | 1.34007 | + | 0.523492i | ||||
\(107\) | −5.26269 | − | 7.87617i | −0.508764 | − | 0.761419i | 0.484808 | − | 0.874620i | \(-0.338889\pi\) |
−0.993572 | + | 0.113202i | \(0.963889\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 16.8083 | − | 3.34339i | 1.60995 | − | 0.320238i | 0.693519 | − | 0.720438i | \(-0.256059\pi\) |
0.916428 | + | 0.400200i | \(0.131059\pi\) | |||||||
\(110\) | −0.964909 | + | 1.50949i | −0.0920004 | + | 0.143924i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.90135 | − | 3.53900i | 0.652116 | − | 0.334404i | ||||
\(113\) | 9.98074 | + | 9.98074i | 0.938909 | + | 0.938909i | 0.998238 | − | 0.0593295i | \(-0.0188963\pi\) |
−0.0593295 | + | 0.998238i | \(0.518896\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.570609 | + | 2.86865i | 0.0532096 | + | 0.267503i | ||||
\(116\) | −2.02274 | + | 1.47362i | −0.187807 | + | 0.136822i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −7.77105 | + | 3.40513i | −0.715383 | + | 0.313468i | ||||
\(119\) | −1.50371 | − | 3.63027i | −0.137844 | − | 0.332786i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.28515 | + | 7.93106i | −0.298650 | + | 0.721005i | ||||
\(122\) | 8.97927 | − | 0.182156i | 0.812945 | − | 0.0164917i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.85733 | − | 1.78481i | −0.436201 | − | 0.160281i | ||||
\(125\) | 4.22757 | − | 6.32701i | 0.378126 | − | 0.565905i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.01235 | −0.799717 | −0.399858 | − | 0.916577i | \(-0.630941\pi\) | ||||
−0.399858 | + | 0.916577i | \(0.630941\pi\) | |||||||
\(128\) | 10.2018 | + | 4.89114i | 0.901720 | + | 0.432320i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.62548 | + | 5.19465i | 0.317976 | + | 0.455601i | ||||
\(131\) | −4.77693 | + | 7.14918i | −0.417362 | + | 0.624627i | −0.979267 | − | 0.202575i | \(-0.935069\pi\) |
0.561904 | + | 0.827202i | \(0.310069\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0340728 | + | 0.171296i | −0.00295449 | + | 0.0148532i | ||||
\(134\) | 8.02702 | − | 0.162839i | 0.693429 | − | 0.0140671i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.88875 | − | 4.95074i | 0.247709 | − | 0.424523i | ||||
\(137\) | −1.16308 | − | 2.80792i | −0.0993685 | − | 0.239897i | 0.866376 | − | 0.499393i | \(-0.166444\pi\) |
−0.965744 | + | 0.259496i | \(0.916444\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.85100 | − | 4.57769i | 0.581094 | − | 0.388275i | −0.230000 | − | 0.973191i | \(-0.573873\pi\) |
0.811094 | + | 0.584916i | \(0.198873\pi\) | |||||||
\(140\) | −2.55480 | + | 1.86124i | −0.215920 | + | 0.157303i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −18.0969 | + | 3.98289i | −1.51866 | + | 0.334237i | ||||
\(143\) | −6.03934 | − | 6.03934i | −0.505035 | − | 0.505035i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.721201 | − | 0.721201i | 0.0598925 | − | 0.0598925i | ||||
\(146\) | 3.49109 | − | 5.46142i | 0.288925 | − | 0.451991i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.70722 | + | 2.79406i | −0.140333 | + | 0.229671i | ||||
\(149\) | 8.41009 | + | 12.5866i | 0.688982 | + | 1.03113i | 0.996819 | + | 0.0796950i | \(0.0253946\pi\) |
−0.307838 | + | 0.951439i | \(0.599605\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −15.1739 | + | 6.28523i | −1.23483 | + | 0.511485i | −0.902096 | − | 0.431534i | \(-0.857972\pi\) |
−0.332738 | + | 0.943019i | \(0.607972\pi\) | |||||||
\(152\) | −0.229012 | + | 0.111630i | −0.0185753 | + | 0.00905438i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.95176 | − | 3.07400i | 0.237860 | − | 0.247710i | ||||
\(155\) | 2.06848 | + | 0.411447i | 0.166145 | + | 0.0330482i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.65930 | − | 2.44507i | −0.292044 | − | 0.195138i | 0.400914 | − | 0.916116i | \(-0.368693\pi\) |
−0.692958 | + | 0.720978i | \(0.743693\pi\) | |||||||
\(158\) | −2.61343 | + | 14.6898i | −0.207913 | + | 1.16865i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.41666 | − | 1.32415i | −0.349168 | − | 0.104684i | ||||
\(161\) | − | 6.95765i | − | 0.548340i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.89914 | + | 2.60532i | 0.305404 | + | 0.204065i | 0.698823 | − | 0.715295i | \(-0.253708\pi\) |
−0.393418 | + | 0.919360i | \(0.628708\pi\) | |||||||
\(164\) | −0.0531320 | − | 1.30901i | −0.00414891 | − | 0.102217i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.75934 | + | 2.64961i | 0.214166 | + | 0.205650i | ||||
\(167\) | −9.51475 | − | 3.94114i | −0.736274 | − | 0.304975i | −0.0171464 | − | 0.999853i | \(-0.505458\pi\) |
−0.719127 | + | 0.694878i | \(0.755458\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −15.8906 | + | 6.58210i | −1.22235 | + | 0.506315i | ||||
\(170\) | −0.850003 | + | 2.17590i | −0.0651923 | + | 0.166884i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 17.6459 | − | 4.26063i | 1.34549 | − | 0.324870i | ||||
\(173\) | 10.2124 | − | 2.03137i | 0.776434 | − | 0.154442i | 0.209060 | − | 0.977903i | \(-0.432960\pi\) |
0.567374 | + | 0.823460i | \(0.307960\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.94436 | + | 5.94436i | −0.449351 | + | 0.449351i | ||||
\(176\) | 6.17551 | + | 0.714679i | 0.465497 | + | 0.0538710i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.33381 | − | 10.6040i | −0.174927 | − | 0.794807i | ||||
\(179\) | −4.62243 | − | 23.2385i | −0.345497 | − | 1.73693i | −0.628500 | − | 0.777810i | \(-0.716331\pi\) |
0.283003 | − | 0.959119i | \(-0.408669\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −6.85149 | + | 4.57802i | −0.509267 | + | 0.340282i | −0.783510 | − | 0.621379i | \(-0.786573\pi\) |
0.274243 | + | 0.961660i | \(0.411573\pi\) | |||||||
\(182\) | −6.04786 | − | 13.8022i | −0.448298 | − | 1.02309i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.08036 | − | 6.14144i | 0.595692 | − | 0.452753i | ||||
\(185\) | 0.510675 | − | 1.23288i | 0.0375456 | − | 0.0906431i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.614458 | − | 3.08909i | 0.0449336 | − | 0.225896i | ||||
\(188\) | 4.59056 | + | 9.92382i | 0.334801 | + | 0.723769i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.0851447 | − | 0.0594247i | 0.00617705 | − | 0.00431112i | ||||
\(191\) | 2.15250 | 0.155750 | 0.0778748 | − | 0.996963i | \(-0.475187\pi\) | ||||
0.0778748 | + | 0.996963i | \(0.475187\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.53246 | −0.398236 | −0.199118 | − | 0.979976i | \(-0.563808\pi\) | ||||
−0.199118 | + | 0.979976i | \(0.563808\pi\) | |||||||
\(194\) | 13.2813 | − | 9.26935i | 0.953541 | − | 0.665500i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.88203 | + | 2.72091i | −0.420145 | + | 0.194351i | ||||
\(197\) | −2.86767 | + | 14.4167i | −0.204313 | + | 1.02715i | 0.733415 | + | 0.679781i | \(0.237925\pi\) |
−0.937728 | + | 0.347370i | \(0.887075\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.633559 | − | 1.52955i | 0.0449118 | − | 0.108427i | −0.899832 | − | 0.436237i | \(-0.856311\pi\) |
0.944743 | + | 0.327811i | \(0.106311\pi\) | |||||||
\(200\) | −12.1506 | − | 1.65654i | −0.859175 | − | 0.117135i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.60039 | + | 15.0631i | 0.464402 | + | 1.05984i | ||||
\(203\) | −2.01733 | + | 1.34794i | −0.141589 | + | 0.0946068i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.104164 | + | 0.523666i | 0.00727511 | + | 0.0365744i | ||||
\(206\) | 4.07623 | + | 18.5210i | 0.284005 | + | 1.29042i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 10.6910 | − | 19.2068i | 0.741285 | − | 1.33175i | ||||
\(209\) | −0.0989898 | + | 0.0989898i | −0.00684727 | + | 0.00684727i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.05837 | − | 1.60291i | 0.554761 | − | 0.110349i | 0.0902547 | − | 0.995919i | \(-0.471232\pi\) |
0.464506 | + | 0.885570i | \(0.346232\pi\) | |||||||
\(212\) | 4.91655 | + | 20.3625i | 0.337670 | + | 1.39850i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.87445 | − | 12.4780i | 0.333211 | − | 0.852977i | ||||
\(215\) | −6.83507 | + | 2.83118i | −0.466148 | + | 0.193085i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.63504 | − | 1.91990i | −0.314647 | − | 0.130331i | ||||
\(218\) | 17.4817 | + | 16.7865i | 1.18401 | + | 1.13693i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.53153 | + | 0.102753i | −0.170676 | + | 0.00692763i | ||||
\(221\) | −9.25983 | − | 6.18722i | −0.622883 | − | 0.416197i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.76595i | 0.118256i | 0.998250 | + | 0.0591282i | \(0.0188321\pi\) | ||||
−0.998250 | + | 0.0591282i | \(0.981168\pi\) | |||||||
\(224\) | 9.69000 | + | 5.13908i | 0.647440 | + | 0.343369i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.49641 | + | 19.6529i | −0.232578 | + | 1.30729i | ||||
\(227\) | 6.55957 | + | 4.38296i | 0.435374 | + | 0.290908i | 0.753879 | − | 0.657014i | \(-0.228181\pi\) |
−0.318505 | + | 0.947921i | \(0.603181\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 22.3445 | + | 4.44460i | 1.47657 | + | 0.293707i | 0.866713 | − | 0.498807i | \(-0.166228\pi\) |
0.609853 | + | 0.792515i | \(0.291228\pi\) | |||||||
\(230\) | −2.86492 | + | 2.98357i | −0.188907 | + | 0.196731i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.34612 | − | 1.15305i | −0.219684 | − | 0.0757011i | ||||
\(233\) | −3.96025 | + | 1.64039i | −0.259445 | + | 0.107466i | −0.508615 | − | 0.860994i | \(-0.669842\pi\) |
0.249170 | + | 0.968460i | \(0.419842\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.47573 | − | 3.70519i | −0.161499 | − | 0.241700i | ||||
\(236\) | −10.2387 | − | 6.25602i | −0.666482 | − | 0.407232i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.99294 | − | 4.68212i | 0.194003 | − | 0.303497i | ||||
\(239\) | 2.96983 | − | 2.96983i | 0.192103 | − | 0.192103i | −0.604501 | − | 0.796604i | \(-0.706628\pi\) |
0.796604 | + | 0.604501i | \(0.206628\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.9923 | − | 16.9923i | −1.09457 | − | 1.09457i | −0.995034 | − | 0.0995381i | \(-0.968263\pi\) |
−0.0995381 | − | 0.995034i | \(-0.531737\pi\) | |||||||
\(242\) | −11.8566 | + | 2.60948i | −0.762170 | + | 0.167744i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.47891 | + | 10.2658i | 0.478788 | + | 0.657201i | ||||
\(245\) | 2.19613 | − | 1.46741i | 0.140306 | − | 0.0937493i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.189429 | + | 0.457321i | 0.0120531 | + | 0.0290986i | ||||
\(248\) | −1.86160 | − | 7.07763i | −0.118212 | − | 0.449430i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.7592 | − | 0.218264i | 0.680468 | − | 0.0138042i | ||||
\(251\) | 1.88276 | − | 9.46528i | 0.118839 | − | 0.597443i | −0.874767 | − | 0.484543i | \(-0.838986\pi\) |
0.993606 | − | 0.112900i | \(-0.0360141\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.09838 | − | 4.63705i | 0.194793 | − | 0.291529i | ||||
\(254\) | −7.29444 | − | 10.4516i | −0.457694 | − | 0.655792i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.58492 | + | 15.7898i | 0.161557 | + | 0.986863i | ||||
\(257\) | 4.05808 | 0.253136 | 0.126568 | − | 0.991958i | \(-0.459604\pi\) | ||||
0.126568 | + | 0.991958i | \(0.459604\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.76361 | + | 2.63944i | −0.109586 | + | 0.164007i | ||||
\(260\) | −3.08983 | + | 8.40893i | −0.191623 | + | 0.521499i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −12.1573 | + | 0.246626i | −0.751078 | + | 0.0152366i | ||||
\(263\) | −8.26702 | + | 19.9584i | −0.509766 | + | 1.23068i | 0.434252 | + | 0.900791i | \(0.357013\pi\) |
−0.944018 | + | 0.329893i | \(0.892987\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.26704 | − | 7.88734i | −0.200693 | − | 0.484515i | ||||
\(266\) | −0.226229 | + | 0.0991296i | −0.0138710 | + | 0.00607802i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.68577 | + | 9.17712i | 0.408399 | + | 0.560582i | ||||
\(269\) | −4.65173 | − | 23.3858i | −0.283621 | − | 1.42586i | −0.815362 | − | 0.578952i | \(-0.803462\pi\) |
0.531741 | − | 0.846907i | \(-0.321538\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.40955 | − | 5.40955i | −0.328607 | − | 0.328607i | 0.523450 | − | 0.852057i | \(-0.324645\pi\) |
−0.852057 | + | 0.523450i | \(0.824645\pi\) | |||||||
\(272\) | 8.07947 | − | 0.656964i | 0.489890 | − | 0.0398343i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.31496 | − | 3.62150i | 0.139852 | − | 0.218783i | ||||
\(275\) | −6.60887 | + | 1.31458i | −0.398530 | + | 0.0792725i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.2748 | − | 15.3773i | −0.617351 | − | 0.923931i | −1.00000 | 3.72366e-5i | \(-0.999988\pi\) | |
0.382649 | − | 0.923894i | \(-0.375012\pi\) | |||||||
\(278\) | 10.8538 | + | 4.23999i | 0.650969 | + | 0.254297i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.22628 | − | 1.45634i | −0.252568 | − | 0.0870329i | ||||
\(281\) | −22.5624 | − | 9.34566i | −1.34596 | − | 0.557515i | −0.410796 | − | 0.911727i | \(-0.634749\pi\) |
−0.935165 | + | 0.354212i | \(0.884749\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −30.7342 | − | 6.11341i | −1.82696 | − | 0.363405i | −0.842455 | − | 0.538767i | \(-0.818890\pi\) |
−0.984504 | + | 0.175362i | \(0.943890\pi\) | |||||||
\(284\) | −19.2663 | − | 17.7633i | −1.14324 | − | 1.05406i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.11567 | − | 11.8919i | 0.125102 | − | 0.703186i | ||||
\(287\) | − | 1.27011i | − | 0.0749720i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.8932i | 0.758421i | ||||||||
\(290\) | 1.42010 | + | 0.252648i | 0.0833914 | + | 0.0148360i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 9.15924 | − | 0.371768i | 0.536004 | − | 0.0217561i | ||||
\(293\) | −11.5609 | − | 2.29960i | −0.675394 | − | 0.134344i | −0.154535 | − | 0.987987i | \(-0.549388\pi\) |
−0.520858 | + | 0.853643i | \(0.674388\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.51781 | + | 1.87134i | 0.263037 | + | 0.108954i | ||||
\(296\) | −4.62207 | + | 0.281603i | −0.268652 | + | 0.0163679i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −7.78967 | + | 19.9405i | −0.451243 | + | 1.15512i | ||||
\(299\) | −10.9556 | − | 16.3962i | −0.633577 | − | 0.948215i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 17.2608 | − | 3.43339i | 0.994897 | − | 0.197897i | ||||
\(302\) | −19.5705 | − | 12.5100i | −1.12615 | − | 0.719868i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.314815 | − | 0.175234i | −0.0180559 | − | 0.0100503i | ||||
\(305\) | −3.66024 | − | 3.66024i | −0.209585 | − | 0.209585i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.01807 | − | 15.1728i | −0.172250 | − | 0.865960i | −0.966164 | − | 0.257929i | \(-0.916960\pi\) |
0.793914 | − | 0.608031i | \(-0.208040\pi\) | |||||||
\(308\) | 5.95401 | + | 0.935108i | 0.339261 | + | 0.0532827i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.19704 | + | 2.73184i | 0.0679874 | + | 0.155158i | ||||
\(311\) | 11.7272 | + | 28.3120i | 0.664989 | + | 1.60543i | 0.789884 | + | 0.613256i | \(0.210141\pi\) |
−0.124895 | + | 0.992170i | \(0.539859\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.18242 | + | 14.9257i | −0.349451 | + | 0.843649i | 0.647234 | + | 0.762291i | \(0.275926\pi\) |
−0.996685 | + | 0.0813577i | \(0.974074\pi\) | |||||||
\(314\) | −0.126235 | − | 6.22268i | −0.00712387 | − | 0.351166i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −19.1510 | + | 8.85885i | −1.07733 | + | 0.498349i | ||||
\(317\) | −15.9809 | + | 23.9172i | −0.897579 | + | 1.34332i | 0.0413265 | + | 0.999146i | \(0.486842\pi\) |
−0.938905 | + | 0.344176i | \(0.888158\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.94475 | −0.108885 | ||||||||
\(320\) | −2.03915 | − | 6.19374i | −0.113992 | − | 0.346241i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 8.06878 | − | 5.63140i | 0.449655 | − | 0.313826i | ||||
\(323\) | −0.101414 | + | 0.151776i | −0.00564281 | + | 0.00844506i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.64824 | + | 23.3683i | −0.257838 | + | 1.29624i | ||||
\(326\) | 0.134509 | + | 6.63053i | 0.00744977 | + | 0.367231i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.47506 | − | 1.12111i | 0.0814463 | − | 0.0619029i | ||||
\(329\) | 4.05661 | + | 9.79352i | 0.223648 | + | 0.539934i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.2884 | − | 11.5517i | 0.950256 | − | 0.634941i | 0.0191998 | − | 0.999816i | \(-0.493888\pi\) |
0.931057 | + | 0.364875i | \(0.118888\pi\) | |||||||
\(332\) | −0.839388 | + | 5.34455i | −0.0460674 | + | 0.293320i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.13054 | − | 14.2241i | −0.171296 | − | 0.778310i | ||||
\(335\) | −3.27207 | − | 3.27207i | −0.178772 | − | 0.178772i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.552793 | + | 0.552793i | −0.0301125 | + | 0.0301125i | −0.722003 | − | 0.691890i | \(-0.756778\pi\) |
0.691890 | + | 0.722003i | \(0.256778\pi\) | |||||||
\(338\) | −20.4948 | − | 13.1008i | −1.11477 | − | 0.712592i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.21136 | + | 0.775387i | −0.174161 | + | 0.0420513i | ||||
\(341\) | −2.23414 | − | 3.34362i | −0.120985 | − | 0.181067i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.3444 | + | 7.59848i | −0.990502 | + | 0.410280i | ||||
\(344\) | 19.2233 | + | 17.0155i | 1.03645 | + | 0.917412i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.6215 | + | 10.1991i | 0.571016 | + | 0.548309i | ||||
\(347\) | −20.3020 | − | 4.03831i | −1.08987 | − | 0.216788i | −0.382726 | − | 0.923862i | \(-0.625015\pi\) |
−0.707140 | + | 0.707074i | \(0.750015\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −24.9728 | − | 16.6863i | −1.33676 | − | 0.893195i | −0.337913 | − | 0.941177i | \(-0.609721\pi\) |
−0.998848 | + | 0.0479825i | \(0.984721\pi\) | |||||||
\(350\) | −11.7049 | − | 2.08240i | −0.625654 | − | 0.111309i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.16954 | + | 7.74018i | 0.222237 | + | 0.412553i | ||||
\(353\) | − | 14.1087i | − | 0.750928i | −0.926837 | − | 0.375464i | \(-0.877483\pi\) | ||
0.926837 | − | 0.375464i | \(-0.122517\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.88008 | + | 5.93348i | 0.471306 | + | 0.314916i | ||||
\(356\) | 10.4085 | − | 11.2892i | 0.551652 | − | 0.598329i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 23.2084 | − | 24.1695i | 1.22660 | − | 1.27740i | ||||
\(359\) | 21.9299 | + | 9.08367i | 1.15742 | + | 0.479418i | 0.877014 | − | 0.480465i | \(-0.159532\pi\) |
0.280403 | + | 0.959882i | \(0.409532\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.5462 | + | 7.26788i | −0.923485 | + | 0.382520i | ||||
\(362\) | −10.8546 | − | 4.24029i | −0.570505 | − | 0.222865i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 11.1113 | − | 18.1849i | 0.582392 | − | 0.953150i | ||||
\(365\) | −3.66412 | + | 0.728839i | −0.191789 | + | 0.0381492i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.6037 | − | 11.6037i | 0.605711 | − | 0.605711i | −0.336111 | − | 0.941822i | \(-0.609112\pi\) |
0.941822 | + | 0.336111i | \(0.109112\pi\) | |||||||
\(368\) | 13.6623 | + | 4.40000i | 0.712198 | + | 0.229366i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.84310 | − | 0.405642i | 0.0958181 | − | 0.0210883i | ||||
\(371\) | 3.96196 | + | 19.9181i | 0.205695 | + | 1.03410i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.5475 | − | 8.38398i | 0.649685 | − | 0.434106i | −0.186573 | − | 0.982441i | \(-0.559738\pi\) |
0.836259 | + | 0.548335i | \(0.184738\pi\) | |||||||
\(374\) | 4.07974 | − | 1.78767i | 0.210958 | − | 0.0924381i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.79311 | + | 13.3558i | −0.401899 | + | 0.688774i | ||||
\(377\) | −2.63150 | + | 6.35301i | −0.135529 | + | 0.327197i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.563697 | + | 2.83390i | −0.0289552 | + | 0.145567i | −0.992559 | − | 0.121769i | \(-0.961143\pi\) |
0.963603 | + | 0.267336i | \(0.0861434\pi\) | |||||||
\(380\) | 0.137829 | + | 0.0506449i | 0.00707050 | + | 0.00259803i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.74220 | + | 2.49625i | 0.0891386 | + | 0.127719i | ||||
\(383\) | 34.7104 | 1.77362 | 0.886808 | − | 0.462137i | \(-0.152917\pi\) | ||||
0.886808 | + | 0.462137i | \(0.152917\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.45629 | −0.125184 | ||||||||
\(386\) | −4.47788 | − | 6.41599i | −0.227918 | − | 0.326565i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 21.4993 | + | 7.89984i | 1.09146 | + | 0.401053i | ||||
\(389\) | −6.28614 | + | 31.6026i | −0.318720 | + | 1.60231i | 0.406403 | + | 0.913694i | \(0.366783\pi\) |
−0.725123 | + | 0.688619i | \(0.758217\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.78283 | − | 6.71836i | 0.140734 | − | 0.339762i | ||||
\(392\) | −7.91624 | − | 4.61912i | −0.399831 | − | 0.233301i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −19.0401 | + | 8.34303i | −0.959227 | + | 0.420316i | ||||
\(395\) | 7.15026 | − | 4.77765i | 0.359769 | − | 0.240390i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.587551 | − | 2.95382i | −0.0294883 | − | 0.148248i | 0.963236 | − | 0.268656i | \(-0.0865796\pi\) |
−0.992724 | + | 0.120408i | \(0.961580\pi\) | |||||||
\(398\) | 2.28661 | − | 0.503252i | 0.114617 | − | 0.0252257i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.91338 | − | 15.4318i | −0.395669 | − | 0.771589i | ||||
\(401\) | −14.8685 | + | 14.8685i | −0.742498 | + | 0.742498i | −0.973058 | − | 0.230560i | \(-0.925944\pi\) |
0.230560 | + | 0.973058i | \(0.425944\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −13.9459 | + | 2.77400i | −0.694693 | + | 0.138183i | ||||
\(404\) | −12.1264 | + | 19.8463i | −0.603313 | + | 0.987390i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.19600 | − | 1.24850i | −0.158615 | − | 0.0619620i | ||||
\(407\) | −2.35079 | + | 0.973727i | −0.116524 | + | 0.0482659i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 14.6721 | + | 6.07739i | 0.725490 | + | 0.300508i | 0.714697 | − | 0.699434i | \(-0.246565\pi\) |
0.0107925 | + | 0.999942i | \(0.496565\pi\) | |||||||
\(410\) | −0.522986 | + | 0.544645i | −0.0258285 | + | 0.0268981i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −18.1796 | + | 19.7178i | −0.895643 | + | 0.971426i | ||||
\(413\) | −9.67206 | − | 6.46266i | −0.475931 | − | 0.318007i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 2.20486i | − | 0.108232i | ||||||
\(416\) | 30.9272 | − | 3.14736i | 1.51633 | − | 0.154312i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.194919 | − | 0.0346777i | −0.00953380 | − | 0.00169614i | ||||
\(419\) | 21.4066 | + | 14.3034i | 1.04578 | + | 0.698768i | 0.954850 | − | 0.297090i | \(-0.0960160\pi\) |
0.0909301 | + | 0.995857i | \(0.471016\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.3448 | + | 2.25662i | 0.552911 | + | 0.109981i | 0.463635 | − | 0.886026i | \(-0.346545\pi\) |
0.0892757 | + | 0.996007i | \(0.471545\pi\) | |||||||
\(422\) | 8.38119 | + | 8.04790i | 0.407990 | + | 0.391766i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −19.6350 | + | 22.1828i | −0.953560 | + | 1.07729i | ||||
\(425\) | −8.11746 | + | 3.36236i | −0.393755 | + | 0.163099i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.84106 | + | 10.2384i | 0.331062 | + | 0.495469i | ||||
\(428\) | 18.4160 | − | 4.44656i | 0.890170 | − | 0.214933i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.81550 | − | 5.63511i | −0.425121 | − | 0.271749i | ||||
\(431\) | 16.7738 | − | 16.7738i | 0.807965 | − | 0.807965i | −0.176361 | − | 0.984326i | \(-0.556433\pi\) |
0.984326 | + | 0.176361i | \(0.0564326\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 14.5447 | + | 14.5447i | 0.698975 | + | 0.698975i | 0.964189 | − | 0.265215i | \(-0.0854428\pi\) |
−0.265215 | + | 0.964189i | \(0.585443\pi\) | |||||||
\(434\) | −1.52502 | − | 6.92918i | −0.0732033 | − | 0.332611i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.31791 | + | 33.8602i | −0.254682 | + | 1.62161i | ||||
\(437\) | −0.268747 | + | 0.179571i | −0.0128559 | + | 0.00859004i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.28898 | + | 12.7687i | 0.252429 | + | 0.609418i | 0.998399 | − | 0.0565614i | \(-0.0180137\pi\) |
−0.745970 | + | 0.665980i | \(0.768014\pi\) | |||||||
\(440\) | −2.16814 | − | 2.85265i | −0.103362 | − | 0.135995i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.319437 | − | 15.7464i | −0.0151941 | − | 0.748981i | ||||
\(443\) | 2.91450 | − | 14.6522i | 0.138472 | − | 0.696147i | −0.847707 | − | 0.530465i | \(-0.822017\pi\) |
0.986179 | − | 0.165682i | \(-0.0529826\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.47677 | + | 5.20336i | −0.164815 | + | 0.246663i | ||||
\(446\) | −2.04796 | + | 1.42933i | −0.0969739 | + | 0.0676805i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.88314 | + | 15.3970i | 0.0889698 | + | 0.727438i | ||||
\(449\) | 32.7646 | 1.54626 | 0.773130 | − | 0.634248i | \(-0.218690\pi\) | ||||
0.773130 | + | 0.634248i | \(0.218690\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.565604 | − | 0.846486i | 0.0266332 | − | 0.0398595i | ||||
\(452\) | −25.6213 | + | 11.8519i | −1.20513 | + | 0.557468i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.226286 | + | 11.1546i | 0.0106201 | + | 0.523512i | ||||
\(455\) | −3.32369 | + | 8.02409i | −0.155817 | + | 0.376175i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −10.4684 | − | 25.2729i | −0.489691 | − | 1.18222i | −0.954876 | − | 0.297005i | \(-0.904012\pi\) |
0.465185 | − | 0.885213i | \(-0.345988\pi\) | |||||||
\(458\) | 12.9309 | + | 29.5103i | 0.604219 | + | 1.37892i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −5.77885 | − | 0.907598i | −0.269440 | − | 0.0423170i | ||||
\(461\) | −1.87909 | − | 9.44683i | −0.0875181 | − | 0.439983i | −0.999554 | − | 0.0298721i | \(-0.990490\pi\) |
0.912036 | − | 0.410111i | \(-0.134510\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.57440 | − | 2.57440i | −0.119643 | − | 0.119643i | 0.644751 | − | 0.764393i | \(-0.276961\pi\) |
−0.764393 | + | 0.644751i | \(0.776961\pi\) | |||||||
\(464\) | −1.37111 | − | 4.81375i | −0.0636521 | − | 0.223473i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.10772 | − | 3.26499i | −0.236610 | − | 0.151248i | ||||
\(467\) | 29.4251 | − | 5.85303i | 1.36163 | − | 0.270846i | 0.540386 | − | 0.841417i | \(-0.318278\pi\) |
0.821248 | + | 0.570572i | \(0.193278\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.11557 | + | 9.15259i | 0.282391 | + | 0.422627i | ||||
\(470\) | 2.29309 | − | 5.87001i | 0.105772 | − | 0.270763i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.03192 | − | 16.9373i | −0.0474979 | − | 0.779602i | ||||
\(473\) | 13.0327 | + | 5.39834i | 0.599246 | + | 0.248216i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.383026 | + | 0.0761886i | 0.0175744 | + | 0.00349577i | ||||
\(476\) | 7.85228 | − | 0.318719i | 0.359909 | − | 0.0146085i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 5.84784 | + | 1.04038i | 0.267474 | + | 0.0475858i | ||||
\(479\) | 13.1017i | 0.598630i | 0.954154 | + | 0.299315i | \(0.0967582\pi\) | ||||
−0.954154 | + | 0.299315i | \(0.903242\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.99701i | 0.410228i | ||||||||
\(482\) | 5.95267 | − | 33.4593i | 0.271137 | − | 1.52403i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −12.6227 | − | 11.6380i | −0.573760 | − | 0.528999i | ||||
\(485\) | −9.15542 | − | 1.82113i | −0.415726 | − | 0.0826931i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.42271 | + | 3.48880i | 0.381670 | + | 0.158093i | 0.565265 | − | 0.824909i | \(-0.308774\pi\) |
−0.183596 | + | 0.983002i | \(0.558774\pi\) | |||||||
\(488\) | −5.85194 | + | 16.9822i | −0.264905 | + | 0.768750i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3.47926 | + | 1.35916i | 0.157177 | + | 0.0614004i | ||||
\(491\) | 6.91581 | + | 10.3502i | 0.312106 | + | 0.467100i | 0.954048 | − | 0.299654i | \(-0.0968711\pi\) |
−0.641942 | + | 0.766753i | \(0.721871\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.48708 | + | 0.494711i | −0.112013 | + | 0.0222807i | ||||
\(494\) | −0.377034 | + | 0.589828i | −0.0169636 | + | 0.0265376i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.70117 | − | 7.88741i | 0.300892 | − | 0.354155i | ||||
\(497\) | −17.9645 | − | 17.9645i | −0.805818 | − | 0.805818i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.940281 | − | 4.72711i | −0.0420927 | − | 0.211615i | 0.954015 | − | 0.299759i | \(-0.0969063\pi\) |
−0.996108 | + | 0.0881445i | \(0.971906\pi\) | |||||||
\(500\) | 8.96139 | + | 12.3007i | 0.400766 | + | 0.550104i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.5007 | − | 5.47760i | 0.557936 | − | 0.244477i | ||||
\(503\) | −10.6536 | − | 25.7202i | −0.475022 | − | 1.14680i | −0.961916 | − | 0.273344i | \(-0.911870\pi\) |
0.486894 | − | 0.873461i | \(-0.338130\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.62734 | − | 8.75716i | 0.161414 | − | 0.389689i | ||||
\(506\) | 7.88536 | − | 0.159965i | 0.350547 | − | 0.00711131i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 6.21671 | − | 16.9187i | 0.275822 | − | 0.750646i | ||||
\(509\) | 13.0686 | − | 19.5585i | 0.579256 | − | 0.866917i | −0.419918 | − | 0.907562i | \(-0.637941\pi\) |
0.999174 | + | 0.0406446i | \(0.0129411\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.88701 | 0.393138 | ||||||||
\(512\) | −16.2192 | + | 15.7777i | −0.716796 | + | 0.697283i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.28454 | + | 4.70615i | 0.144875 | + | 0.207579i | ||||
\(515\) | 6.07253 | − | 9.08818i | 0.267588 | − | 0.400473i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.65765 | + | 8.33356i | −0.0729033 | + | 0.366510i | ||||
\(518\) | −4.48839 | + | 0.0910529i | −0.197208 | + | 0.00400064i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −12.2527 | + | 3.22277i | −0.537315 | + | 0.141328i | ||||
\(521\) | −7.67162 | − | 18.5209i | −0.336100 | − | 0.811417i | −0.998083 | − | 0.0618976i | \(-0.980285\pi\) |
0.661983 | − | 0.749519i | \(-0.269715\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 23.7322 | − | 15.8574i | 1.03774 | − | 0.693394i | 0.0847500 | − | 0.996402i | \(-0.472991\pi\) |
0.952988 | + | 0.303008i | \(0.0979908\pi\) | |||||||
\(524\) | −10.1259 | − | 13.8991i | −0.442351 | − | 0.607187i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −29.8368 | + | 6.56670i | −1.30095 | + | 0.286322i | ||||
\(527\) | −3.70773 | − | 3.70773i | −0.161511 | − | 0.161511i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.15862 | + | 7.15862i | −0.311244 | + | 0.311244i | ||||
\(530\) | 6.50264 | − | 10.1727i | 0.282457 | − | 0.441872i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.298066 | − | 0.182124i | −0.0129228 | − | 0.00789607i | ||||
\(533\) | −1.99992 | − | 2.99309i | −0.0866261 | − | 0.129645i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.13335 | + | 2.95473i | −0.308402 | + | 0.127744i | ||||
\(536\) | −5.23134 | + | 15.1813i | −0.225960 | + | 0.655732i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 23.3555 | − | 24.3227i | 1.00693 | − | 1.04863i | ||||
\(539\) | −4.93945 | − | 0.982518i | −0.212757 | − | 0.0423201i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.15217 | + | 6.11529i | 0.393483 | + | 0.262917i | 0.736535 | − | 0.676400i | \(-0.236461\pi\) |
−0.343052 | + | 0.939316i | \(0.611461\pi\) | |||||||
\(542\) | 1.89505 | − | 10.6518i | 0.0813994 | − | 0.457536i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 7.30127 | + | 8.83802i | 0.313039 | + | 0.378927i | ||||
\(545\) | − | 13.9688i | − | 0.598359i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 22.1909 | + | 14.8275i | 0.948813 | + | 0.633976i | 0.930670 | − | 0.365859i | \(-0.119225\pi\) |
0.0181423 | + | 0.999835i | \(0.494225\pi\) | |||||||
\(548\) | 6.07354 | − | 0.246521i | 0.259449 | − | 0.0105309i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −6.87362 | − | 6.60029i | −0.293092 | − | 0.281437i | ||||
\(551\) | 0.104131 | + | 0.0431326i | 0.00443614 | + | 0.00183751i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −18.8995 | + | 7.82843i | −0.803689 | + | 0.332899i | ||||
\(554\) | 9.51678 | − | 24.3617i | 0.404329 | − | 1.03503i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.86779 | + | 16.0189i | 0.164031 | + | 0.679354i | ||||
\(557\) | 3.07874 | − | 0.612399i | 0.130450 | − | 0.0259482i | −0.129433 | − | 0.991588i | \(-0.541316\pi\) |
0.259884 | + | 0.965640i | \(0.416316\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 35.2700 | − | 35.2700i | 1.49176 | − | 1.49176i | ||||
\(560\) | −1.73176 | − | 6.07994i | −0.0731803 | − | 0.256924i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.42349 | − | 33.7298i | −0.313141 | − | 1.42281i | ||||
\(563\) | −3.12631 | − | 15.7170i | −0.131758 | − | 0.662394i | −0.989052 | − | 0.147566i | \(-0.952856\pi\) |
0.857294 | − | 0.514827i | \(-0.172144\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.56607 | − | 6.39184i | 0.402447 | − | 0.268907i | ||||
\(566\) | −17.7860 | − | 40.5905i | −0.747602 | − | 1.70615i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.00625 | − | 36.7204i | 0.210057 | − | 1.54075i | ||||
\(569\) | −9.52243 | + | 22.9892i | −0.399201 | + | 0.963756i | 0.588655 | + | 0.808384i | \(0.299658\pi\) |
−0.987856 | + | 0.155372i | \(0.950342\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.30200 | + | 6.54559i | −0.0544870 | + | 0.273924i | −0.998419 | − | 0.0562165i | \(-0.982096\pi\) |
0.943932 | + | 0.330141i | \(0.107096\pi\) | |||||||
\(572\) | 15.5035 | − | 7.17159i | 0.648232 | − | 0.299859i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.47294 | − | 1.02800i | 0.0614794 | − | 0.0429080i | ||||
\(575\) | −15.5577 | −0.648800 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 41.6755 | 1.73497 | 0.867487 | − | 0.497460i | \(-0.165734\pi\) | ||||
0.867487 | + | 0.497460i | \(0.165734\pi\) | |||||||
\(578\) | −14.9522 | + | 10.4355i | −0.621928 | + | 0.434059i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.856412 | + | 1.85138i | 0.0355606 | + | 0.0768744i | ||||
\(581\) | −1.02324 | + | 5.14417i | −0.0424511 | + | 0.213416i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.22942 | + | 15.0391i | −0.257996 | + | 0.622858i | ||||
\(584\) | 7.84446 | + | 10.3210i | 0.324606 | + | 0.427088i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.69033 | − | 15.2684i | −0.276375 | − | 0.630731i | ||||
\(587\) | −8.51613 | + | 5.69029i | −0.351498 | + | 0.234864i | −0.718767 | − | 0.695251i | \(-0.755293\pi\) |
0.367268 | + | 0.930115i | \(0.380293\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.0454683 | + | 0.228584i | 0.00187349 | + | 0.00941865i | ||||
\(590\) | 1.48645 | + | 6.75393i | 0.0611962 | + | 0.278055i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.06759 | − | 5.13228i | −0.167177 | − | 0.210935i | ||||
\(593\) | 17.7593 | − | 17.7593i | 0.729285 | − | 0.729285i | −0.241192 | − | 0.970477i | \(-0.577538\pi\) |
0.970477 | + | 0.241192i | \(0.0775384\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.14128 | + | 0.624839i | −0.128780 | + | 0.0256159i | ||||
\(596\) | −29.4298 | + | 7.10587i | −1.20549 | + | 0.291068i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 10.1474 | − | 25.9759i | 0.414956 | − | 1.06223i | ||||
\(599\) | 23.1403 | − | 9.58504i | 0.945488 | − | 0.391634i | 0.143955 | − | 0.989584i | \(-0.454018\pi\) |
0.801533 | + | 0.597950i | \(0.204018\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.7219 | + | 4.44117i | 0.437356 | + | 0.181159i | 0.590487 | − | 0.807047i | \(-0.298936\pi\) |
−0.153131 | + | 0.988206i | \(0.548936\pi\) | |||||||
\(602\) | 17.9523 | + | 17.2384i | 0.731681 | + | 0.702585i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.33219 | − | 32.8212i | −0.0542061 | − | 1.33548i | ||||
\(605\) | 5.81797 | + | 3.88744i | 0.236534 | + | 0.158047i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 23.5570i | 0.956147i | 0.878320 | + | 0.478074i | \(0.158665\pi\) | ||||
−0.878320 | + | 0.478074i | \(0.841335\pi\) | |||||||
\(608\) | −0.0515879 | − | 0.506922i | −0.00209216 | − | 0.0205584i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.28224 | − | 7.20731i | 0.0519163 | − | 0.291815i | ||||
\(611\) | 24.9806 | + | 16.6915i | 1.01061 | + | 0.675267i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −7.55995 | − | 1.50377i | −0.305343 | − | 0.0607366i | 0.0400405 | − | 0.999198i | \(-0.487251\pi\) |
−0.345384 | + | 0.938461i | \(0.612251\pi\) | |||||||
\(614\) | 15.1532 | − | 15.7807i | 0.611531 | − | 0.636857i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.73463 | + | 7.66172i | 0.150473 | + | 0.308699i | ||||
\(617\) | −41.1541 | + | 17.0466i | −1.65680 | + | 0.686270i | −0.997827 | − | 0.0658956i | \(-0.979010\pi\) |
−0.658975 | + | 0.752165i | \(0.729010\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 25.0137 | + | 37.4356i | 1.00538 | + | 1.50466i | 0.856723 | + | 0.515777i | \(0.172497\pi\) |
0.148662 | + | 0.988888i | \(0.452503\pi\) | |||||||
\(620\) | −2.19924 | + | 3.59931i | −0.0883236 | + | 0.144552i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −23.3416 | + | 36.5153i | −0.935912 | + | 1.46413i | ||||
\(623\) | 10.5265 | − | 10.5265i | 0.421734 | − | 0.421734i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.9429 | + | 10.9429i | 0.437718 | + | 0.437718i | ||||
\(626\) | −22.3132 | + | 4.91084i | −0.891815 | + | 0.196277i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.11425 | − | 5.18292i | 0.283890 | − | 0.206821i | ||||
\(629\) | −2.75865 | + | 1.84327i | −0.109994 | + | 0.0734960i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.4914 | − | 34.9853i | −0.576893 | − | 1.39274i | −0.895587 | − | 0.444886i | \(-0.853244\pi\) |
0.318694 | − | 0.947858i | \(-0.396756\pi\) | |||||||
\(632\) | −25.7740 | − | 15.0391i | −1.02524 | − | 0.598224i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −40.6714 | + | 0.825073i | −1.61527 | + | 0.0327678i | ||||
\(635\) | −1.43312 | + | 7.20479i | −0.0568717 | + | 0.285913i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.89337 | + | 14.8065i | −0.391989 | + | 0.586654i | ||||
\(638\) | −1.57405 | − | 2.25533i | −0.0623172 | − | 0.0892892i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 5.53241 | − | 7.37790i | 0.218688 | − | 0.291637i | ||||
\(641\) | 7.36049 | 0.290722 | 0.145361 | − | 0.989379i | \(-0.453566\pi\) | ||||
0.145361 | + | 0.989379i | \(0.453566\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.65643 | − | 8.46545i | 0.223068 | − | 0.333845i | −0.703008 | − | 0.711182i | \(-0.748160\pi\) |
0.926076 | + | 0.377337i | \(0.123160\pi\) | |||||||
\(644\) | 13.0615 | + | 4.79938i | 0.514693 | + | 0.189122i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.258097 | + | 0.00523585i | −0.0101547 | + | 0.000206002i | ||||
\(647\) | 15.0418 | − | 36.3142i | 0.591356 | − | 1.42766i | −0.290838 | − | 0.956772i | \(-0.593934\pi\) |
0.882194 | − | 0.470886i | \(-0.156066\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.56817 | − | 8.61432i | −0.140063 | − | 0.338142i | ||||
\(650\) | −30.8624 | + | 13.5233i | −1.21052 | + | 0.530429i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.58054 | + | 5.52262i | −0.296877 | + | 0.216283i | ||||
\(653\) | −0.411603 | − | 2.06927i | −0.0161073 | − | 0.0809767i | 0.971896 | − | 0.235412i | \(-0.0756441\pi\) |
−0.988003 | + | 0.154436i | \(0.950644\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.95569 | + | 4.95569i | 0.193635 | + | 0.193635i | ||||
\(656\) | 2.49403 | + | 0.803213i | 0.0973756 | + | 0.0313602i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −8.07418 | + | 12.6312i | −0.314764 | + | 0.492414i | ||||
\(659\) | 13.9933 | − | 2.78344i | 0.545101 | − | 0.108427i | 0.0851445 | − | 0.996369i | \(-0.472865\pi\) |
0.459957 | + | 0.887941i | \(0.347865\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.17698 | − | 3.25808i | −0.0846746 | − | 0.126724i | 0.786715 | − | 0.617317i | \(-0.211780\pi\) |
−0.871389 | + | 0.490593i | \(0.836780\pi\) | |||||||
\(662\) | 27.3895 | + | 10.6995i | 1.06452 | + | 0.415850i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.87745 | + | 3.35235i | −0.266897 | + | 0.130096i | ||||
\(665\) | 0.131522 | + | 0.0544780i | 0.00510019 | + | 0.00211257i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.40382 | − | 0.875975i | −0.170517 | − | 0.0339179i | ||||
\(668\) | 13.9619 | − | 15.1432i | 0.540202 | − | 0.585910i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.14626 | − | 6.44298i | 0.0442838 | − | 0.248914i | ||||
\(671\) | 9.87001i | 0.381027i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 36.5991i | − | 1.41079i | −0.708813 | − | 0.705397i | \(-0.750769\pi\) | ||
0.708813 | − | 0.705397i | \(-0.249231\pi\) | |||||||
\(674\) | −1.08849 | − | 0.193652i | −0.0419272 | − | 0.00745919i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.39511 | − | 34.3714i | −0.0536582 | − | 1.32198i | ||||
\(677\) | 16.1895 | + | 3.22028i | 0.622211 | + | 0.123766i | 0.496121 | − | 0.868253i | \(-0.334757\pi\) |
0.126090 | + | 0.992019i | \(0.459757\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 20.5154 | + | 8.49775i | 0.787308 | + | 0.326114i | ||||
\(680\) | −3.49844 | − | 3.09663i | −0.134159 | − | 0.118750i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.06932 | − | 5.29720i | 0.0792384 | − | 0.202840i | ||||
\(683\) | −13.9637 | − | 20.8982i | −0.534307 | − | 0.799647i | 0.461875 | − | 0.886945i | \(-0.347177\pi\) |
−0.996182 | + | 0.0872981i | \(0.972177\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.42970 | + | 0.483297i | −0.0928341 | + | 0.0184658i | ||||
\(686\) | −23.6596 | − | 15.1238i | −0.903326 | − | 0.577431i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.17376 | + | 36.0653i | −0.159123 | + | 1.37498i | ||||
\(689\) | 40.6999 | + | 40.6999i | 1.55054 | + | 1.55054i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.174353 | − | 0.876532i | −0.00663270 | − | 0.0333449i | 0.977327 | − | 0.211735i | \(-0.0679112\pi\) |
−0.983960 | + | 0.178390i | \(0.942911\pi\) | |||||||
\(692\) | −3.23105 | + | 20.5727i | −0.122826 | + | 0.782059i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.7488 | − | 26.8127i | −0.445979 | − | 1.01780i | ||||
\(695\) | −2.57014 | − | 6.20486i | −0.0974909 | − | 0.235364i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.508002 | − | 1.22642i | 0.0192419 | − | 0.0464541i | ||||
\(698\) | −0.861488 | − | 42.4664i | −0.0326078 | − | 1.60738i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −7.05880 | − | 15.2596i | −0.266798 | − | 0.576760i | ||||
\(701\) | 2.15514 | − | 3.22540i | 0.0813986 | − | 0.121822i | −0.788536 | − | 0.614988i | \(-0.789161\pi\) |
0.869935 | + | 0.493167i | \(0.164161\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.147468 | 0.00556188 | ||||||||
\(704\) | −5.60152 | + | 11.1002i | −0.211115 | + | 0.418354i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 16.3618 | − | 11.4193i | 0.615784 | − | 0.429771i | ||||
\(707\) | −12.5270 | + | 18.7480i | −0.471126 | + | 0.705090i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.60789 | + | 13.1108i | −0.0979414 | + | 0.492385i | 0.900413 | + | 0.435036i | \(0.143265\pi\) |
−0.998354 | + | 0.0573482i | \(0.981735\pi\) | |||||||
\(710\) | 0.306337 | + | 15.1007i | 0.0114966 | + | 0.566718i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 21.5166 | + | 2.93345i | 0.806369 | + | 0.109936i | ||||
\(713\) | −3.55306 | − | 8.57784i | −0.133063 | − | 0.321243i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.78842 | + | 3.86770i | −0.216475 | + | 0.144644i | ||||
\(716\) | 46.8137 | + | 7.35233i | 1.74951 | + | 0.274770i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 7.21538 | + | 32.7842i | 0.269276 | + | 1.22350i | ||||
\(719\) | −5.54087 | − | 5.54087i | −0.206640 | − | 0.206640i | 0.596198 | − | 0.802838i | \(-0.296677\pi\) |
−0.802838 | + | 0.596198i | \(0.796677\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −18.3855 | + | 18.3855i | −0.684712 | + | 0.684712i | ||||
\(722\) | −22.6301 | − | 14.4658i | −0.842207 | − | 0.538362i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.86807 | − | 16.0201i | −0.143756 | − | 0.595381i | ||||
\(725\) | 3.01406 | + | 4.51086i | 0.111939 | + | 0.167529i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.51607 | + | 0.627975i | −0.0562278 | + | 0.0232903i | −0.410620 | − | 0.911807i | \(-0.634688\pi\) |
0.354392 | + | 0.935097i | \(0.384688\pi\) | |||||||
\(728\) | 30.0824 | − | 1.83279i | 1.11493 | − | 0.0679278i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.81091 | − | 3.65937i | −0.141048 | − | 0.135439i | ||||
\(731\) | 18.0404 | + | 3.58846i | 0.667248 | + | 0.132724i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −35.6822 | − | 23.8421i | −1.31795 | − | 0.880628i | −0.320182 | − | 0.947356i | \(-0.603744\pi\) |
−0.997771 | + | 0.0667277i | \(0.978744\pi\) | |||||||
\(734\) | 22.8487 | + | 4.06497i | 0.843362 | + | 0.150041i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.95537 | + | 19.4055i | 0.219518 | + | 0.715294i | ||||
\(737\) | 8.82329i | 0.325010i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.79111 | + | 1.86496i | 0.102673 | + | 0.0686036i | 0.605847 | − | 0.795581i | \(-0.292835\pi\) |
−0.503174 | + | 0.864185i | \(0.667835\pi\) | |||||||
\(740\) | 1.96219 | + | 1.80912i | 0.0721317 | + | 0.0665045i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −19.8923 | + | 20.7161i | −0.730268 | + | 0.760511i | ||||
\(743\) | 5.81769 | + | 2.40977i | 0.213430 | + | 0.0884058i | 0.486837 | − | 0.873493i | \(-0.338151\pi\) |
−0.273407 | + | 0.961899i | \(0.588151\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 11.3995 | − | 4.72184i | 0.417646 | − | 0.172995i | ||||
\(746\) | 19.8786 | + | 7.76548i | 0.727808 | + | 0.284314i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.37523 | + | 3.28436i | 0.196538 | + | 0.120088i | ||||
\(749\) | 18.0141 | − | 3.58322i | 0.658220 | − | 0.130928i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.4261 | − | 24.4261i | 0.891321 | − | 0.891321i | −0.103326 | − | 0.994648i | \(-0.532949\pi\) |
0.994648 | + | 0.103326i | \(0.0329486\pi\) | |||||||
\(752\) | −21.7963 | + | 1.77232i | −0.794831 | + | 0.0646298i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −9.49747 | + | 2.09027i | −0.345878 | + | 0.0761231i | ||||
\(755\) | 2.61172 | + | 13.1300i | 0.0950503 | + | 0.477850i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.3344 | + | 9.57795i | −0.520993 | + | 0.348116i | −0.788097 | − | 0.615551i | \(-0.788933\pi\) |
0.267104 | + | 0.963668i | \(0.413933\pi\) | |||||||
\(758\) | −3.74271 | + | 1.63999i | −0.135941 | + | 0.0595670i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.0528239 | + | 0.200832i | 0.00191612 | + | 0.00728493i | ||||
\(761\) | −14.8711 | + | 35.9019i | −0.539076 | + | 1.30144i | 0.386293 | + | 0.922376i | \(0.373755\pi\) |
−0.925369 | + | 0.379068i | \(0.876245\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.48269 | + | 32.5907i | −0.234689 | + | 1.17986i | ||||
\(764\) | −1.48480 | + | 4.04085i | −0.0537180 | + | 0.146193i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 28.0940 | + | 40.2535i | 1.01508 | + | 1.45442i | ||||
\(767\) | −32.9690 | −1.19044 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.8807 | 0.500550 | 0.250275 | − | 0.968175i | \(-0.419479\pi\) | ||||
0.250275 | + | 0.968175i | \(0.419479\pi\) | |||||||
\(770\) | −1.98808 | − | 2.84856i | −0.0716455 | − | 0.102655i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3.81629 | − | 10.3860i | 0.137351 | − | 0.373800i | ||||
\(773\) | −0.0884866 | + | 0.444852i | −0.00318264 | + | 0.0160002i | −0.982344 | − | 0.187084i | \(-0.940096\pi\) |
0.979161 | + | 0.203084i | \(0.0650964\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.29299 | + | 10.3642i | −0.154209 | + | 0.372293i | ||||
\(776\) | 8.23972 | + | 31.3267i | 0.295789 | + | 1.12456i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −41.7373 | + | 18.2885i | −1.49636 | + | 0.655676i | ||||
\(779\) | −0.0490593 | + | 0.0327804i | −0.00175773 | + | 0.00117448i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.97282 | − | 19.9727i | −0.142159 | − | 0.714680i | ||||
\(782\) | 10.0436 | − | 2.21047i | 0.359160 | − | 0.0790464i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.05049 | − | 12.9191i | −0.0375173 | − | 0.461396i | ||||
\(785\) | −2.53656 | + | 2.53656i | −0.0905339 | + | 0.0905339i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.18877 | + | 1.82776i | −0.327544 | + | 0.0651526i | −0.356123 | − | 0.934439i | \(-0.615902\pi\) |
0.0285792 | + | 0.999592i | \(0.490902\pi\) | |||||||
\(788\) | −25.0861 | − | 15.3281i | −0.893657 | − | 0.546040i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 11.3279 | + | 4.42520i | 0.403030 | + | 0.157441i | ||||
\(791\) | −25.2849 | + | 10.4734i | −0.899029 | + | 0.372390i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 32.2428 | + | 13.3554i | 1.14498 | + | 0.474265i | ||||
\(794\) | 2.94998 | − | 3.07215i | 0.104691 | − | 0.109027i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.43436 | + | 2.24445i | 0.0862836 | + | 0.0795524i | ||||
\(797\) | −14.6345 | − | 9.77843i | −0.518379 | − | 0.346370i | 0.268698 | − | 0.963224i | \(-0.413407\pi\) |
−0.787077 | + | 0.616855i | \(0.788407\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 11.0792i | 0.391954i | ||||||||
\(800\) | 11.4912 | − | 21.6673i | 0.406277 | − | 0.766056i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −29.2773 | − | 5.20867i | −1.03382 | − | 0.183925i | ||||
\(803\) | 5.92291 | + | 3.95756i | 0.209015 | + | 0.139659i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.56219 | − | 1.10639i | −0.196041 | − | 0.0389951i | ||||
\(806\) | −14.5045 | − | 13.9278i | −0.510901 | − | 0.490584i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −32.8306 | + | 2.00023i | −1.15498 | + | 0.0703680i | ||||
\(809\) | −4.53116 | + | 1.87687i | −0.159307 | + | 0.0659871i | −0.460912 | − | 0.887446i | \(-0.652478\pi\) |
0.301605 | + | 0.953433i | \(0.402478\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −21.6476 | − | 32.3980i | −0.760151 | − | 1.13765i | −0.986526 | − | 0.163606i | \(-0.947687\pi\) |
0.226375 | − | 0.974040i | \(-0.427313\pi\) | |||||||
\(812\) | −1.13890 | − | 4.71690i | −0.0399676 | − | 0.165531i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.03192 | − | 1.93808i | −0.106269 | − | 0.0679298i | ||||
\(815\) | 2.70282 | − | 2.70282i | 0.0946756 | − | 0.0946756i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.578105 | − | 0.578105i | −0.0202253 | − | 0.0202253i | ||||
\(818\) | 4.82742 | + | 21.9342i | 0.168787 | + | 0.766910i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.05492 | − | 0.165680i | −0.0368394 | − | 0.00578581i | ||||
\(821\) | −15.4667 | + | 10.3345i | −0.539792 | + | 0.360678i | −0.795383 | − | 0.606107i | \(-0.792730\pi\) |
0.255590 | + | 0.966785i | \(0.417730\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.39014 | − | 3.35609i | −0.0484571 | − | 0.116986i | 0.897797 | − | 0.440409i | \(-0.145166\pi\) |
−0.946255 | + | 0.323423i | \(0.895166\pi\) | |||||||
\(824\) | −37.5809 | − | 5.12357i | −1.30919 | − | 0.178488i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.333658 | − | 16.4474i | −0.0116095 | − | 0.572280i | ||||
\(827\) | −7.68456 | + | 38.6329i | −0.267218 | + | 1.34340i | 0.581066 | + | 0.813857i | \(0.302636\pi\) |
−0.848284 | + | 0.529541i | \(0.822364\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.04482 | + | 9.04671i | −0.209945 | + | 0.314205i | −0.921465 | − | 0.388460i | \(-0.873007\pi\) |
0.711520 | + | 0.702666i | \(0.248007\pi\) | |||||||
\(830\) | 2.55698 | − | 1.78458i | 0.0887539 | − | 0.0619436i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 28.6819 | + | 33.3187i | 0.994366 | + | 1.15512i | ||||
\(833\) | −6.56685 | −0.227528 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.66370 | + | 6.97972i | −0.161394 | + | 0.241543i | ||||
\(836\) | −0.117548 | − | 0.254115i | −0.00406550 | − | 0.00878874i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.738465 | + | 36.4021i | 0.0255099 | + | 1.25749i | ||||
\(839\) | −4.57390 | + | 11.0424i | −0.157909 | + | 0.381225i | −0.982957 | − | 0.183837i | \(-0.941148\pi\) |
0.825048 | + | 0.565063i | \(0.191148\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.4986 | − | 25.3459i | −0.362022 | − | 0.873998i | ||||
\(842\) | 6.56528 | + | 14.9830i | 0.226254 | + | 0.516348i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −2.54955 | + | 16.2335i | −0.0877591 | + | 0.558780i | ||||
\(845\) | 2.73508 | + | 13.7502i | 0.0940895 | + | 0.473020i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −11.7698 | − | 11.7698i | −0.404416 | − | 0.404416i | ||||
\(848\) | −41.6176 | − | 4.81631i | −1.42915 | − | 0.165393i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −10.4695 | − | 6.69237i | −0.359100 | − | 0.229546i | ||||
\(851\) | −5.76187 | + | 1.14611i | −0.197514 | + | 0.0392880i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −15.0788 | − | 22.5670i | −0.516287 | − | 0.772678i | 0.478120 | − | 0.878294i | \(-0.341318\pi\) |
−0.994407 | + | 0.105617i | \(0.966318\pi\) | |||||||
\(854\) | −6.33638 | + | 16.2203i | −0.216827 | + | 0.555048i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 20.0622 | + | 17.7580i | 0.685713 | + | 0.606956i | ||||
\(857\) | 36.9477 | + | 15.3043i | 1.26211 | + | 0.522783i | 0.910557 | − | 0.413384i | \(-0.135653\pi\) |
0.351554 | + | 0.936168i | \(0.385653\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.65397 | − | 0.925733i | −0.158792 | − | 0.0315856i | 0.115054 | − | 0.993359i | \(-0.463296\pi\) |
−0.273846 | + | 0.961774i | \(0.588296\pi\) | |||||||
\(860\) | −0.600084 | − | 14.7843i | −0.0204627 | − | 0.504140i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 33.0289 | + | 5.87612i | 1.12497 | + | 0.200141i | ||||
\(863\) | − | 10.4034i | − | 0.354136i | −0.984199 | − | 0.177068i | \(-0.943339\pi\) | ||
0.984199 | − | 0.177068i | \(-0.0566612\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | − | 8.48717i | − | 0.288572i | ||||||
\(866\) | −5.09524 | + | 28.6397i | −0.173143 | + | 0.973218i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 6.80143 | − | 7.37692i | 0.230856 | − | 0.250389i | ||||
\(869\) | −16.0821 | − | 3.19892i | −0.545547 | − | 0.108516i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 28.8235 | + | 11.9391i | 0.976646 | + | 0.404540i | ||||
\(872\) | −43.5718 | + | 21.2387i | −1.47553 | + | 0.719233i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.425767 | − | 0.166324i | −0.0144018 | − | 0.00562598i | ||||
\(875\) | 8.19710 | + | 12.2678i | 0.277113 | + | 0.414728i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −40.0008 | + | 7.95665i | −1.35073 | + | 0.268677i | −0.816834 | − | 0.576873i | \(-0.804273\pi\) |
−0.533896 | + | 0.845550i | \(0.679273\pi\) | |||||||
\(878\) | −10.5271 | + | 16.4684i | −0.355271 | + | 0.555782i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.55335 | − | 4.82328i | 0.0523636 | − | 0.162593i | ||||
\(881\) | −26.7291 | − | 26.7291i | −0.900526 | − | 0.900526i | 0.0949554 | − | 0.995482i | \(-0.469729\pi\) |
−0.995482 | + | 0.0949554i | \(0.969729\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.51668 | − | 7.62487i | −0.0510404 | − | 0.256597i | 0.946837 | − | 0.321713i | \(-0.104259\pi\) |
−0.997878 | + | 0.0651152i | \(0.979259\pi\) | |||||||
\(884\) | 18.0026 | − | 13.1153i | 0.605492 | − | 0.441117i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 19.3511 | − | 8.47929i | 0.650112 | − | 0.284867i | ||||
\(887\) | −7.40725 | − | 17.8827i | −0.248711 | − | 0.600442i | 0.749384 | − | 0.662136i | \(-0.230350\pi\) |
−0.998095 | + | 0.0616939i | \(0.980350\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.68724 | − | 16.1444i | 0.224283 | − | 0.541466i | ||||
\(890\) | −8.84837 | + | 0.179501i | −0.296598 | + | 0.00601688i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.31517 | − | 1.21815i | −0.111000 | − | 0.0407866i | ||||
\(893\) | 0.273588 | − | 0.409453i | 0.00915527 | − | 0.0137018i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −19.3127 | −0.645554 | ||||||||
\(896\) | −16.3316 | + | 14.6459i | −0.545602 | + | 0.489285i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 26.5191 | + | 37.9971i | 0.884955 | + | 1.26798i | ||||
\(899\) | −1.79875 | + | 2.69202i | −0.0599916 | + | 0.0897838i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.14091 | + | 20.8177i | −0.137954 | + | 0.693540i | ||||
\(902\) | 1.43946 | − | 0.0292013i | 0.0479287 | − | 0.000972298i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −34.4821 | − | 20.1203i | −1.14686 | − | 0.669191i | ||||
\(905\) | 2.57032 | + | 6.20531i | 0.0854404 | + | 0.206271i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −22.2411 | + | 14.8611i | −0.738505 | + | 0.493453i | −0.867032 | − | 0.498253i | \(-0.833975\pi\) |
0.128527 | + | 0.991706i | \(0.458975\pi\) | |||||||
\(908\) | −12.7528 | + | 9.29078i | −0.423218 | + | 0.308325i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −11.9957 | + | 2.64009i | −0.397652 | + | 0.0875180i | ||||
\(911\) | 0.418109 | + | 0.418109i | 0.0138526 | + | 0.0138526i | 0.713999 | − | 0.700147i | \(-0.246882\pi\) |
−0.700147 | + | 0.713999i | \(0.746882\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.97276 | + | 2.97276i | −0.0983839 | + | 0.0983839i | ||||
\(914\) | 20.8360 | − | 32.5956i | 0.689195 | − | 1.07817i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −23.7570 | + | 38.8810i | −0.784952 | + | 1.28466i | ||||
\(917\) | −9.26228 | − | 13.8620i | −0.305868 | − | 0.457763i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.8012 | + | 5.30244i | −0.422274 | + | 0.174911i | −0.583693 | − | 0.811974i | \(-0.698393\pi\) |
0.161419 | + | 0.986886i | \(0.448393\pi\) | |||||||
\(920\) | −3.62476 | − | 7.43632i | −0.119505 | − | 0.245168i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 9.43457 | − | 9.82528i | 0.310711 | − | 0.323578i | ||||
\(923\) | −70.6216 | − | 14.0475i | −2.32454 | − | 0.462379i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.90192 | + | 3.94353i | 0.194054 | + | 0.129663i | ||||
\(926\) | 0.901852 | − | 5.06920i | 0.0296367 | − | 0.166584i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.47274 | − | 5.48624i | 0.146825 | − | 0.180095i | ||||
\(929\) | − | 26.2072i | − | 0.859830i | −0.902869 | − | 0.429915i | \(-0.858544\pi\) | ||
0.902869 | − | 0.429915i | \(-0.141456\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.242690 | + | 0.162161i | 0.00795386 | + | 0.00531460i | ||||
\(932\) | −0.347690 | − | 8.56604i | −0.0113890 | − | 0.280590i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 30.6039 | + | 29.3870i | 1.00139 | + | 0.961570i | ||||
\(935\) | −2.37182 | − | 0.982438i | −0.0775666 | − | 0.0321292i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 15.5675 | − | 6.44825i | 0.508567 | − | 0.210655i | −0.113620 | − | 0.993524i | \(-0.536245\pi\) |
0.622186 | + | 0.782869i | \(0.286245\pi\) | |||||||
\(938\) | −5.66441 | + | 14.5002i | −0.184950 | + | 0.473447i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 8.66343 | − | 2.09179i | 0.282570 | − | 0.0682268i | ||||
\(941\) | −1.05016 | + | 0.208890i | −0.0342342 | + | 0.00680961i | −0.212178 | − | 0.977231i | \(-0.568056\pi\) |
0.177944 | + | 0.984041i | \(0.443056\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.66207 | − | 1.66207i | 0.0541245 | − | 0.0541245i | ||||
\(944\) | 18.8069 | − | 14.9055i | 0.612114 | − | 0.485132i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.28803 | + | 19.4834i | 0.139416 | + | 0.633459i | ||||
\(947\) | 5.64778 | + | 28.3933i | 0.183528 | + | 0.922658i | 0.957278 | + | 0.289168i | \(0.0933785\pi\) |
−0.773750 | + | 0.633491i | \(0.781622\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 20.9428 | − | 13.9936i | 0.679833 | − | 0.454250i | ||||
\(950\) | 0.221659 | + | 0.505860i | 0.00719156 | + | 0.0164123i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 6.72512 | + | 8.84831i | 0.217962 | + | 0.286775i | ||||
\(953\) | 17.8099 | − | 42.9968i | 0.576918 | − | 1.39280i | −0.318647 | − | 0.947873i | \(-0.603229\pi\) |
0.895565 | − | 0.444930i | \(-0.146771\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.342286 | − | 1.72079i | 0.0110761 | − | 0.0556834i | ||||
\(956\) | 3.52662 | + | 7.62380i | 0.114059 | + | 0.246571i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −15.1940 | + | 10.6043i | −0.490895 | + | 0.342608i | ||||
\(959\) | 5.89303 | 0.190296 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.3052 | 0.784038 | ||||||||
\(962\) | −10.4338 | + | 7.28202i | −0.336400 | + | 0.234782i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 43.6206 | − | 20.1780i | 1.40493 | − | 0.649891i | ||||
\(965\) | −0.879759 | + | 4.42285i | −0.0283204 | + | 0.142376i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.72582 | − | 11.4091i | 0.151972 | − | 0.366893i | −0.829498 | − | 0.558510i | \(-0.811373\pi\) |
0.981470 | + | 0.191617i | \(0.0613732\pi\) | |||||||
\(968\) | 3.27995 | − | 24.0581i | 0.105421 | − | 0.773257i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.29828 | − | 12.0915i | −0.170118 | − | 0.388235i | ||||
\(971\) | 11.8130 | − | 7.89320i | 0.379097 | − | 0.253305i | −0.351393 | − | 0.936228i | \(-0.614292\pi\) |
0.730490 | + | 0.682923i | \(0.239292\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.11682 | + | 15.6693i | 0.0999208 | + | 0.502336i | ||||
\(974\) | 2.77124 | + | 12.5916i | 0.0887963 | + | 0.403460i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −24.4307 | + | 6.95865i | −0.782009 | + | 0.222741i | ||||
\(977\) | −11.6219 | + | 11.6219i | −0.371817 | + | 0.371817i | −0.868139 | − | 0.496322i | \(-0.834684\pi\) |
0.496322 | + | 0.868139i | \(0.334684\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 11.7032 | − | 2.32791i | 0.374035 | − | 0.0744003i | ||||
\(980\) | 1.23984 | + | 5.13497i | 0.0396054 | + | 0.164031i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −6.40562 | + | 16.3975i | −0.204411 | + | 0.523267i | ||||
\(983\) | −52.2673 | + | 21.6498i | −1.66707 | + | 0.690522i | −0.998584 | − | 0.0532035i | \(-0.983057\pi\) |
−0.668485 | + | 0.743726i | \(0.733057\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 11.0692 | + | 4.58503i | 0.352695 | + | 0.146091i | ||||
\(986\) | −2.58672 | − | 2.48385i | −0.0823779 | − | 0.0791020i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.989187 | + | 0.0401505i | −0.0314702 | + | 0.00127736i | ||||
\(989\) | 27.0806 | + | 18.0947i | 0.861113 | + | 0.575377i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.7589i | 0.500597i | 0.968169 | + | 0.250299i | \(0.0805288\pi\) | ||||
−0.968169 | + | 0.250299i | \(0.919471\pi\) | |||||||
\(992\) | 14.5708 | + | 1.38740i | 0.462624 | + | 0.0440502i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 6.29324 | − | 35.3736i | 0.199610 | − | 1.12198i | ||||
\(995\) | −1.12203 | − | 0.749715i | −0.0355707 | − | 0.0237676i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −28.9525 | − | 5.75900i | −0.916934 | − | 0.182390i | −0.286003 | − | 0.958229i | \(-0.592327\pi\) |
−0.630931 | + | 0.775839i | \(0.717327\pi\) | |||||||
\(998\) | 4.72097 | − | 4.91648i | 0.149440 | − | 0.155629i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 576.2.bd.a.37.5 | 56 | ||
3.2 | odd | 2 | 64.2.i.a.37.3 | ✓ | 56 | ||
12.11 | even | 2 | 256.2.i.a.241.7 | 56 | |||
24.5 | odd | 2 | 512.2.i.b.225.7 | 56 | |||
24.11 | even | 2 | 512.2.i.a.225.1 | 56 | |||
64.45 | even | 16 | inner | 576.2.bd.a.109.5 | 56 | ||
192.77 | odd | 16 | 512.2.i.b.289.7 | 56 | |||
192.83 | even | 16 | 256.2.i.a.17.7 | 56 | |||
192.173 | odd | 16 | 64.2.i.a.45.3 | yes | 56 | ||
192.179 | even | 16 | 512.2.i.a.289.1 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.37.3 | ✓ | 56 | 3.2 | odd | 2 | ||
64.2.i.a.45.3 | yes | 56 | 192.173 | odd | 16 | ||
256.2.i.a.17.7 | 56 | 192.83 | even | 16 | |||
256.2.i.a.241.7 | 56 | 12.11 | even | 2 | |||
512.2.i.a.225.1 | 56 | 24.11 | even | 2 | |||
512.2.i.a.289.1 | 56 | 192.179 | even | 16 | |||
512.2.i.b.225.7 | 56 | 24.5 | odd | 2 | |||
512.2.i.b.289.7 | 56 | 192.77 | odd | 16 | |||
576.2.bd.a.37.5 | 56 | 1.1 | even | 1 | trivial | ||
576.2.bd.a.109.5 | 56 | 64.45 | even | 16 | inner |