Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(65,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.65");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.n (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 65.12 | ||
Character | \(\chi\) | \(=\) | 462.65 |
Dual form | 462.2.n.f.263.12 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 1.72543 | − | 0.151338i | 0.996175 | − | 0.0873751i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −0.246102 | − | 0.142087i | −0.110060 | − | 0.0635433i | 0.443959 | − | 0.896047i | \(-0.353573\pi\) |
−0.554020 | + | 0.832504i | \(0.686907\pi\) | |||||||
\(6\) | 0.731651 | − | 1.56993i | 0.298695 | − | 0.640922i | ||||
\(7\) | 2.09441 | + | 1.61662i | 0.791611 | + | 0.611026i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.95419 | − | 0.522246i | 0.984731 | − | 0.174082i | ||||
\(10\) | −0.246102 | + | 0.142087i | −0.0778243 | + | 0.0449319i | ||||
\(11\) | 3.25335 | − | 0.644763i | 0.980922 | − | 0.194403i | ||||
\(12\) | −0.993776 | − | 1.41859i | −0.286878 | − | 0.409513i | ||||
\(13\) | 6.02702i | 1.67159i | 0.549039 | + | 0.835797i | \(0.314994\pi\) | ||||
−0.549039 | + | 0.835797i | \(0.685006\pi\) | |||||||
\(14\) | 2.44724 | − | 1.00550i | 0.654052 | − | 0.268731i | ||||
\(15\) | −0.446134 | − | 0.207916i | −0.115191 | − | 0.0536837i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −3.12688 | − | 5.41591i | −0.758380 | − | 1.31355i | −0.943677 | − | 0.330869i | \(-0.892658\pi\) |
0.185297 | − | 0.982683i | \(-0.440675\pi\) | |||||||
\(18\) | 1.02482 | − | 2.81953i | 0.241552 | − | 0.664569i | ||||
\(19\) | −4.70688 | − | 2.71752i | −1.07983 | − | 0.623441i | −0.148981 | − | 0.988840i | \(-0.547599\pi\) |
−0.930851 | + | 0.365399i | \(0.880933\pi\) | |||||||
\(20\) | 0.284174i | 0.0635433i | ||||||||
\(21\) | 3.85840 | + | 2.47240i | 0.841972 | + | 0.539522i | ||||
\(22\) | 1.06829 | − | 3.13986i | 0.227761 | − | 0.669421i | ||||
\(23\) | 1.55587 | + | 0.898282i | 0.324421 | + | 0.187305i | 0.653362 | − | 0.757046i | \(-0.273358\pi\) |
−0.328940 | + | 0.944351i | \(0.606691\pi\) | |||||||
\(24\) | −1.72543 | + | 0.151338i | −0.352201 | + | 0.0308918i | ||||
\(25\) | −2.45962 | − | 4.26019i | −0.491924 | − | 0.852038i | ||||
\(26\) | 5.21955 | + | 3.01351i | 1.02364 | + | 0.590998i | ||||
\(27\) | 5.01821 | − | 1.34818i | 0.965755 | − | 0.259457i | ||||
\(28\) | 0.352833 | − | 2.62212i | 0.0666791 | − | 0.495534i | ||||
\(29\) | −0.434446 | −0.0806746 | −0.0403373 | − | 0.999186i | \(-0.512843\pi\) | ||||
−0.0403373 | + | 0.999186i | \(0.512843\pi\) | |||||||
\(30\) | −0.403128 | + | 0.282406i | −0.0736008 | + | 0.0515600i | ||||
\(31\) | −3.64386 | − | 6.31135i | −0.654456 | − | 1.13355i | −0.982030 | − | 0.188726i | \(-0.939564\pi\) |
0.327573 | − | 0.944826i | \(-0.393769\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 5.51584 | − | 1.60485i | 0.960184 | − | 0.279368i | ||||
\(34\) | −6.25376 | −1.07251 | ||||||||
\(35\) | −0.285737 | − | 0.695442i | −0.0482983 | − | 0.117551i | ||||
\(36\) | −1.92937 | − | 2.29728i | −0.321562 | − | 0.382881i | ||||
\(37\) | −5.57207 | + | 9.65112i | −0.916043 | + | 1.58663i | −0.110677 | + | 0.993856i | \(0.535302\pi\) |
−0.805367 | + | 0.592777i | \(0.798032\pi\) | |||||||
\(38\) | −4.70688 | + | 2.71752i | −0.763556 | + | 0.440839i | ||||
\(39\) | 0.912118 | + | 10.3992i | 0.146056 | + | 1.66520i | ||||
\(40\) | 0.246102 | + | 0.142087i | 0.0389122 | + | 0.0224659i | ||||
\(41\) | 0.326715 | 0.0510243 | 0.0255121 | − | 0.999675i | \(-0.491878\pi\) | ||||
0.0255121 | + | 0.999675i | \(0.491878\pi\) | |||||||
\(42\) | 4.07036 | − | 2.10527i | 0.628070 | − | 0.324851i | ||||
\(43\) | 2.29940i | 0.350655i | 0.984510 | + | 0.175327i | \(0.0560984\pi\) | ||||
−0.984510 | + | 0.175327i | \(0.943902\pi\) | |||||||
\(44\) | −2.18506 | − | 2.49510i | −0.329410 | − | 0.376151i | ||||
\(45\) | −0.801238 | − | 0.291227i | −0.119441 | − | 0.0434136i | ||||
\(46\) | 1.55587 | − | 0.898282i | 0.229401 | − | 0.132444i | ||||
\(47\) | 3.52794 | + | 2.03685i | 0.514602 | + | 0.297106i | 0.734723 | − | 0.678367i | \(-0.237312\pi\) |
−0.220121 | + | 0.975473i | \(0.570645\pi\) | |||||||
\(48\) | −0.731651 | + | 1.56993i | −0.105605 | + | 0.226600i | ||||
\(49\) | 1.77307 | + | 6.77172i | 0.253296 | + | 0.967389i | ||||
\(50\) | −4.91924 | −0.695686 | ||||||||
\(51\) | −6.21483 | − | 8.87154i | −0.870251 | − | 1.24226i | ||||
\(52\) | 5.21955 | − | 3.01351i | 0.723821 | − | 0.417899i | ||||
\(53\) | 1.66437 | − | 0.960923i | 0.228618 | − | 0.131993i | −0.381316 | − | 0.924445i | \(-0.624529\pi\) |
0.609935 | + | 0.792452i | \(0.291196\pi\) | |||||||
\(54\) | 1.34155 | − | 5.01999i | 0.182561 | − | 0.683133i | ||||
\(55\) | −0.892269 | − | 0.303581i | −0.120313 | − | 0.0409349i | ||||
\(56\) | −2.09441 | − | 1.61662i | −0.279877 | − | 0.216030i | ||||
\(57\) | −8.53264 | − | 3.97655i | −1.13018 | − | 0.526706i | ||||
\(58\) | −0.217223 | + | 0.376241i | −0.0285228 | + | 0.0494029i | ||||
\(59\) | −8.38305 | + | 4.83996i | −1.09138 | + | 0.630109i | −0.933944 | − | 0.357420i | \(-0.883656\pi\) |
−0.157437 | + | 0.987529i | \(0.550323\pi\) | |||||||
\(60\) | 0.0430064 | + | 0.490322i | 0.00555210 | + | 0.0633003i | ||||
\(61\) | 3.37831 | + | 1.95047i | 0.432548 | + | 0.249732i | 0.700432 | − | 0.713719i | \(-0.252991\pi\) |
−0.267883 | + | 0.963451i | \(0.586324\pi\) | |||||||
\(62\) | −7.28772 | −0.925541 | ||||||||
\(63\) | 7.03155 | + | 3.68202i | 0.885892 | + | 0.463891i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.856362 | − | 1.48326i | 0.106219 | − | 0.183976i | ||||
\(66\) | 1.36808 | − | 5.57928i | 0.168399 | − | 0.686762i | ||||
\(67\) | 4.34158 | + | 7.51984i | 0.530409 | + | 0.918695i | 0.999371 | + | 0.0354765i | \(0.0112949\pi\) |
−0.468962 | + | 0.883218i | \(0.655372\pi\) | |||||||
\(68\) | −3.12688 | + | 5.41591i | −0.379190 | + | 0.656776i | ||||
\(69\) | 2.82048 | + | 1.31446i | 0.339546 | + | 0.158242i | ||||
\(70\) | −0.745139 | − | 0.100266i | −0.0890611 | − | 0.0119841i | ||||
\(71\) | − | 3.88436i | − | 0.460989i | −0.973074 | − | 0.230495i | \(-0.925966\pi\) | ||
0.973074 | − | 0.230495i | \(-0.0740344\pi\) | |||||||
\(72\) | −2.95419 | + | 0.522246i | −0.348155 | + | 0.0615473i | ||||
\(73\) | −3.80459 | + | 2.19658i | −0.445294 | + | 0.257091i | −0.705841 | − | 0.708371i | \(-0.749431\pi\) |
0.260547 | + | 0.965461i | \(0.416097\pi\) | |||||||
\(74\) | 5.57207 | + | 9.65112i | 0.647740 | + | 1.12192i | ||||
\(75\) | −4.88863 | − | 6.97841i | −0.564490 | − | 0.805798i | ||||
\(76\) | 5.43503i | 0.623441i | ||||||||
\(77\) | 7.85617 | + | 3.90904i | 0.895294 | + | 0.445476i | ||||
\(78\) | 9.46201 | + | 4.40967i | 1.07136 | + | 0.499297i | ||||
\(79\) | −4.63260 | − | 2.67463i | −0.521208 | − | 0.300920i | 0.216221 | − | 0.976345i | \(-0.430627\pi\) |
−0.737429 | + | 0.675425i | \(0.763960\pi\) | |||||||
\(80\) | 0.246102 | − | 0.142087i | 0.0275151 | − | 0.0158858i | ||||
\(81\) | 8.45452 | − | 3.08563i | 0.939391 | − | 0.342848i | ||||
\(82\) | 0.163357 | − | 0.282943i | 0.0180398 | − | 0.0312459i | ||||
\(83\) | −1.61235 | −0.176978 | −0.0884892 | − | 0.996077i | \(-0.528204\pi\) | ||||
−0.0884892 | + | 0.996077i | \(0.528204\pi\) | |||||||
\(84\) | 0.211960 | − | 4.57767i | 0.0231267 | − | 0.499465i | ||||
\(85\) | 1.77716i | 0.192760i | ||||||||
\(86\) | 1.99134 | + | 1.14970i | 0.214731 | + | 0.123975i | ||||
\(87\) | −0.749605 | + | 0.0657483i | −0.0803661 | + | 0.00704896i | ||||
\(88\) | −3.25335 | + | 0.644763i | −0.346808 | + | 0.0687320i | ||||
\(89\) | −14.8319 | − | 8.56318i | −1.57217 | − | 0.907695i | −0.995902 | − | 0.0904364i | \(-0.971174\pi\) |
−0.576271 | − | 0.817258i | \(-0.695493\pi\) | |||||||
\(90\) | −0.652829 | + | 0.548279i | −0.0688142 | + | 0.0577936i | ||||
\(91\) | −9.74341 | + | 12.6230i | −1.02139 | + | 1.32325i | ||||
\(92\) | − | 1.79656i | − | 0.187305i | ||||||
\(93\) | −7.24236 | − | 10.3383i | −0.750998 | − | 1.07203i | ||||
\(94\) | 3.52794 | − | 2.03685i | 0.363879 | − | 0.210086i | ||||
\(95\) | 0.772248 | + | 1.33757i | 0.0792310 | + | 0.137232i | ||||
\(96\) | 0.993776 | + | 1.41859i | 0.101427 | + | 0.144785i | ||||
\(97\) | 6.98710 | 0.709432 | 0.354716 | − | 0.934974i | \(-0.384578\pi\) | ||||
0.354716 | + | 0.934974i | \(0.384578\pi\) | |||||||
\(98\) | 6.75102 | + | 1.85034i | 0.681956 | + | 0.186912i | ||||
\(99\) | 9.27430 | − | 3.60380i | 0.932102 | − | 0.362196i | ||||
\(100\) | −2.45962 | + | 4.26019i | −0.245962 | + | 0.426019i | ||||
\(101\) | −5.50494 | − | 9.53484i | −0.547762 | − | 0.948752i | −0.998427 | − | 0.0560587i | \(-0.982147\pi\) |
0.450665 | − | 0.892693i | \(-0.351187\pi\) | |||||||
\(102\) | −10.7904 | + | 0.946432i | −1.06841 | + | 0.0937108i | ||||
\(103\) | −3.87592 | + | 6.71328i | −0.381905 | + | 0.661480i | −0.991335 | − | 0.131361i | \(-0.958065\pi\) |
0.609429 | + | 0.792840i | \(0.291399\pi\) | |||||||
\(104\) | − | 6.02702i | − | 0.590998i | ||||||
\(105\) | −0.598264 | − | 1.15669i | −0.0583846 | − | 0.112882i | ||||
\(106\) | − | 1.92185i | − | 0.186666i | ||||||
\(107\) | 7.32460 | − | 12.6866i | 0.708096 | − | 1.22646i | −0.257466 | − | 0.966287i | \(-0.582888\pi\) |
0.965563 | − | 0.260171i | \(-0.0837790\pi\) | |||||||
\(108\) | −3.67666 | − | 3.67181i | −0.353787 | − | 0.353320i | ||||
\(109\) | 13.7850 | − | 7.95877i | 1.32036 | − | 0.762312i | 0.336577 | − | 0.941656i | \(-0.390731\pi\) |
0.983786 | + | 0.179344i | \(0.0573975\pi\) | |||||||
\(110\) | −0.709044 | + | 0.620937i | −0.0676046 | + | 0.0592040i | ||||
\(111\) | −8.15362 | + | 17.4956i | −0.773908 | + | 1.66060i | ||||
\(112\) | −2.44724 | + | 1.00550i | −0.231242 | + | 0.0950106i | ||||
\(113\) | 12.2685i | 1.15412i | 0.816702 | + | 0.577060i | \(0.195800\pi\) | ||||
−0.816702 | + | 0.577060i | \(0.804200\pi\) | |||||||
\(114\) | −7.71011 | + | 5.40121i | −0.722118 | + | 0.505869i | ||||
\(115\) | −0.255269 | − | 0.442138i | −0.0238039 | − | 0.0412296i | ||||
\(116\) | 0.217223 | + | 0.376241i | 0.0201687 | + | 0.0349331i | ||||
\(117\) | 3.14758 | + | 17.8050i | 0.290994 | + | 1.64607i | ||||
\(118\) | 9.67991i | 0.891108i | ||||||||
\(119\) | 2.20653 | − | 16.3981i | 0.202272 | − | 1.50321i | ||||
\(120\) | 0.446134 | + | 0.207916i | 0.0407263 | + | 0.0189801i | ||||
\(121\) | 10.1686 | − | 4.19528i | 0.924415 | − | 0.381389i | ||||
\(122\) | 3.37831 | − | 1.95047i | 0.305858 | − | 0.176587i | ||||
\(123\) | 0.563722 | − | 0.0494444i | 0.0508291 | − | 0.00445825i | ||||
\(124\) | −3.64386 | + | 6.31135i | −0.327228 | + | 0.566776i | ||||
\(125\) | 2.81879i | 0.252121i | ||||||||
\(126\) | 6.70450 | − | 4.24849i | 0.597284 | − | 0.378486i | ||||
\(127\) | 5.55609i | 0.493023i | 0.969140 | + | 0.246511i | \(0.0792843\pi\) | ||||
−0.969140 | + | 0.246511i | \(0.920716\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 0.347987 | + | 3.96744i | 0.0306385 | + | 0.349314i | ||||
\(130\) | −0.856362 | − | 1.48326i | −0.0751079 | − | 0.130091i | ||||
\(131\) | −9.44368 | + | 16.3569i | −0.825099 | + | 1.42911i | 0.0767455 | + | 0.997051i | \(0.475547\pi\) |
−0.901844 | + | 0.432062i | \(0.857786\pi\) | |||||||
\(132\) | −4.14776 | − | 3.97443i | −0.361016 | − | 0.345930i | ||||
\(133\) | −5.46491 | − | 13.3008i | −0.473868 | − | 1.15333i | ||||
\(134\) | 8.68317 | 0.750111 | ||||||||
\(135\) | −1.42655 | − | 0.381233i | −0.122778 | − | 0.0328113i | ||||
\(136\) | 3.12688 | + | 5.41591i | 0.268128 | + | 0.464411i | ||||
\(137\) | −14.6388 | + | 8.45173i | −1.25068 | + | 0.722080i | −0.971244 | − | 0.238084i | \(-0.923481\pi\) |
−0.279435 | + | 0.960165i | \(0.590147\pi\) | |||||||
\(138\) | 2.54860 | − | 1.78538i | 0.216951 | − | 0.151982i | ||||
\(139\) | 12.1306i | 1.02890i | 0.857519 | + | 0.514452i | \(0.172005\pi\) | ||||
−0.857519 | + | 0.514452i | \(0.827995\pi\) | |||||||
\(140\) | −0.459402 | + | 0.595176i | −0.0388266 | + | 0.0503016i | ||||
\(141\) | 6.39545 | + | 2.98053i | 0.538594 | + | 0.251006i | ||||
\(142\) | −3.36396 | − | 1.94218i | −0.282297 | − | 0.162984i | ||||
\(143\) | 3.88600 | + | 19.6080i | 0.324964 | + | 1.63970i | ||||
\(144\) | −1.02482 | + | 2.81953i | −0.0854016 | + | 0.234961i | ||||
\(145\) | 0.106918 | + | 0.0617292i | 0.00887907 | + | 0.00512633i | ||||
\(146\) | 4.39317i | 0.363581i | ||||||||
\(147\) | 4.08412 | + | 11.4158i | 0.336853 | + | 0.941557i | ||||
\(148\) | 11.1441 | 0.916043 | ||||||||
\(149\) | 5.93990 | − | 10.2882i | 0.486616 | − | 0.842843i | −0.513266 | − | 0.858230i | \(-0.671564\pi\) |
0.999882 | + | 0.0153863i | \(0.00489782\pi\) | |||||||
\(150\) | −8.48780 | + | 0.744470i | −0.693026 | + | 0.0607857i | ||||
\(151\) | −1.49875 | + | 0.865305i | −0.121967 | + | 0.0704175i | −0.559742 | − | 0.828667i | \(-0.689100\pi\) |
0.437775 | + | 0.899084i | \(0.355766\pi\) | |||||||
\(152\) | 4.70688 | + | 2.71752i | 0.381778 | + | 0.220420i | ||||
\(153\) | −12.0658 | − | 14.3667i | −0.975466 | − | 1.16148i | ||||
\(154\) | 7.31341 | − | 4.84912i | 0.589332 | − | 0.390754i | ||||
\(155\) | 2.07098i | 0.166345i | ||||||||
\(156\) | 8.54989 | − | 5.98951i | 0.684539 | − | 0.479544i | ||||
\(157\) | −5.57046 | − | 9.64832i | −0.444571 | − | 0.770020i | 0.553451 | − | 0.832882i | \(-0.313311\pi\) |
−0.998022 | + | 0.0628618i | \(0.979977\pi\) | |||||||
\(158\) | −4.63260 | + | 2.67463i | −0.368550 | + | 0.212782i | ||||
\(159\) | 2.72632 | − | 1.90988i | 0.216211 | − | 0.151464i | ||||
\(160\) | − | 0.284174i | − | 0.0224659i | ||||||
\(161\) | 1.80644 | + | 4.39662i | 0.142367 | + | 0.346502i | ||||
\(162\) | 1.55503 | − | 8.86464i | 0.122174 | − | 0.696472i | ||||
\(163\) | 0.415887 | − | 0.720337i | 0.0325748 | − | 0.0564211i | −0.849278 | − | 0.527945i | \(-0.822963\pi\) |
0.881853 | + | 0.471524i | \(0.156296\pi\) | |||||||
\(164\) | −0.163357 | − | 0.282943i | −0.0127561 | − | 0.0220942i | ||||
\(165\) | −1.58549 | − | 0.388773i | −0.123430 | − | 0.0302659i | ||||
\(166\) | −0.806175 | + | 1.39634i | −0.0625713 | + | 0.108377i | ||||
\(167\) | −19.1395 | −1.48106 | −0.740529 | − | 0.672025i | \(-0.765425\pi\) | ||||
−0.740529 | + | 0.672025i | \(0.765425\pi\) | |||||||
\(168\) | −3.85840 | − | 2.47240i | −0.297682 | − | 0.190750i | ||||
\(169\) | −23.3249 | −1.79423 | ||||||||
\(170\) | 1.53906 | + | 0.888578i | 0.118041 | + | 0.0681509i | ||||
\(171\) | −15.3242 | − | 5.56992i | −1.17187 | − | 0.425943i | ||||
\(172\) | 1.99134 | − | 1.14970i | 0.151838 | − | 0.0876637i | ||||
\(173\) | 8.80633 | − | 15.2530i | 0.669533 | − | 1.15967i | −0.308502 | − | 0.951224i | \(-0.599828\pi\) |
0.978035 | − | 0.208442i | \(-0.0668391\pi\) | |||||||
\(174\) | −0.317863 | + | 0.682051i | −0.0240971 | + | 0.0517062i | ||||
\(175\) | 1.73567 | − | 12.8988i | 0.131204 | − | 0.975061i | ||||
\(176\) | −1.06829 | + | 3.13986i | −0.0805256 | + | 0.236676i | ||||
\(177\) | −13.7319 | + | 9.61966i | −1.03215 | + | 0.723058i | ||||
\(178\) | −14.8319 | + | 8.56318i | −1.11169 | + | 0.641837i | ||||
\(179\) | 7.84070 | − | 4.52683i | 0.586041 | − | 0.338351i | −0.177489 | − | 0.984123i | \(-0.556798\pi\) |
0.763531 | + | 0.645772i | \(0.223464\pi\) | |||||||
\(180\) | 0.148409 | + | 0.839506i | 0.0110617 | + | 0.0625731i | ||||
\(181\) | 21.1949 | 1.57540 | 0.787701 | − | 0.616057i | \(-0.211271\pi\) | ||||
0.787701 | + | 0.616057i | \(0.211271\pi\) | |||||||
\(182\) | 6.06015 | + | 14.7495i | 0.449208 | + | 1.09331i | ||||
\(183\) | 6.12421 | + | 2.85412i | 0.452715 | + | 0.210983i | ||||
\(184\) | −1.55587 | − | 0.898282i | −0.114700 | − | 0.0662222i | ||||
\(185\) | 2.74260 | − | 1.58344i | 0.201640 | − | 0.116417i | ||||
\(186\) | −12.5744 | + | 1.10291i | −0.922001 | + | 0.0808693i | ||||
\(187\) | −13.6648 | − | 15.6038i | −0.999270 | − | 1.14106i | ||||
\(188\) | − | 4.07371i | − | 0.297106i | ||||||
\(189\) | 12.6897 | + | 5.28891i | 0.923037 | + | 0.384712i | ||||
\(190\) | 1.54450 | 0.112050 | ||||||||
\(191\) | 10.7800 | + | 6.22381i | 0.780010 | + | 0.450339i | 0.836434 | − | 0.548068i | \(-0.184636\pi\) |
−0.0564238 | + | 0.998407i | \(0.517970\pi\) | |||||||
\(192\) | 1.72543 | − | 0.151338i | 0.124522 | − | 0.0109219i | ||||
\(193\) | 12.9542 | − | 7.47910i | 0.932463 | − | 0.538357i | 0.0448730 | − | 0.998993i | \(-0.485712\pi\) |
0.887590 | + | 0.460635i | \(0.152378\pi\) | |||||||
\(194\) | 3.49355 | − | 6.05100i | 0.250822 | − | 0.434437i | ||||
\(195\) | 1.25312 | − | 2.68886i | 0.0897374 | − | 0.192553i | ||||
\(196\) | 4.97795 | − | 4.92138i | 0.355568 | − | 0.351527i | ||||
\(197\) | 8.24633 | 0.587527 | 0.293763 | − | 0.955878i | \(-0.405092\pi\) | ||||
0.293763 | + | 0.955878i | \(0.405092\pi\) | |||||||
\(198\) | 1.51616 | − | 9.83368i | 0.107749 | − | 0.698849i | ||||
\(199\) | 7.13434 | + | 12.3570i | 0.505740 | + | 0.875967i | 0.999978 | + | 0.00664051i | \(0.00211376\pi\) |
−0.494238 | + | 0.869327i | \(0.664553\pi\) | |||||||
\(200\) | 2.45962 | + | 4.26019i | 0.173922 | + | 0.301241i | ||||
\(201\) | 8.62912 | + | 12.3179i | 0.608651 | + | 0.868837i | ||||
\(202\) | −11.0099 | −0.774652 | ||||||||
\(203\) | −0.909907 | − | 0.702335i | −0.0638629 | − | 0.0492943i | ||||
\(204\) | −4.57557 | + | 9.81798i | −0.320354 | + | 0.687396i | ||||
\(205\) | −0.0804052 | − | 0.0464220i | −0.00561574 | − | 0.00324225i | ||||
\(206\) | 3.87592 | + | 6.71328i | 0.270048 | + | 0.467737i | ||||
\(207\) | 5.06547 | + | 1.84115i | 0.352074 | + | 0.127969i | ||||
\(208\) | −5.21955 | − | 3.01351i | −0.361911 | − | 0.208949i | ||||
\(209\) | −17.0653 | − | 5.80621i | −1.18043 | − | 0.401624i | ||||
\(210\) | −1.30086 | − | 0.0602336i | −0.0897676 | − | 0.00415651i | ||||
\(211\) | − | 16.7368i | − | 1.15221i | −0.817376 | − | 0.576105i | \(-0.804572\pi\) | ||
0.817376 | − | 0.576105i | \(-0.195428\pi\) | |||||||
\(212\) | −1.66437 | − | 0.960923i | −0.114309 | − | 0.0659964i | ||||
\(213\) | −0.587853 | − | 6.70219i | −0.0402790 | − | 0.459226i | ||||
\(214\) | −7.32460 | − | 12.6866i | −0.500700 | − | 0.867237i | ||||
\(215\) | 0.326715 | − | 0.565887i | 0.0222818 | − | 0.0385932i | ||||
\(216\) | −5.01821 | + | 1.34818i | −0.341446 | + | 0.0917320i | ||||
\(217\) | 2.57134 | − | 19.1093i | 0.174554 | − | 1.29722i | ||||
\(218\) | − | 15.9175i | − | 1.07807i | ||||||
\(219\) | −6.23212 | + | 4.36582i | −0.421128 | + | 0.295015i | ||||
\(220\) | 0.183225 | + | 0.924518i | 0.0123530 | + | 0.0623310i | ||||
\(221\) | 32.6418 | − | 18.8458i | 2.19573 | − | 1.26770i | ||||
\(222\) | 11.0748 | + | 15.8090i | 0.743291 | + | 1.06103i | ||||
\(223\) | 1.08771 | 0.0728383 | 0.0364192 | − | 0.999337i | \(-0.488405\pi\) | ||||
0.0364192 | + | 0.999337i | \(0.488405\pi\) | |||||||
\(224\) | −0.352833 | + | 2.62212i | −0.0235746 | + | 0.175198i | ||||
\(225\) | −9.49107 | − | 11.3009i | −0.632738 | − | 0.753393i | ||||
\(226\) | 10.6248 | + | 6.13423i | 0.706751 | + | 0.408043i | ||||
\(227\) | −4.48346 | − | 7.76558i | −0.297578 | − | 0.515420i | 0.678003 | − | 0.735059i | \(-0.262845\pi\) |
−0.975581 | + | 0.219639i | \(0.929512\pi\) | |||||||
\(228\) | 0.822528 | + | 9.37775i | 0.0544733 | + | 0.621057i | ||||
\(229\) | 6.22490 | − | 10.7818i | 0.411353 | − | 0.712485i | −0.583685 | − | 0.811980i | \(-0.698390\pi\) |
0.995038 | + | 0.0994957i | \(0.0317230\pi\) | |||||||
\(230\) | −0.510537 | −0.0336638 | ||||||||
\(231\) | 14.1468 | + | 5.55582i | 0.930793 | + | 0.365546i | ||||
\(232\) | 0.434446 | 0.0285228 | ||||||||
\(233\) | 9.19303 | − | 15.9228i | 0.602255 | − | 1.04314i | −0.390224 | − | 0.920720i | \(-0.627602\pi\) |
0.992479 | − | 0.122417i | \(-0.0390644\pi\) | |||||||
\(234\) | 16.9934 | + | 6.17660i | 1.11089 | + | 0.403777i | ||||
\(235\) | −0.578822 | − | 1.00255i | −0.0377582 | − | 0.0653991i | ||||
\(236\) | 8.38305 | + | 4.83996i | 0.545690 | + | 0.315054i | ||||
\(237\) | −8.39798 | − | 3.91379i | −0.545508 | − | 0.254228i | ||||
\(238\) | −13.0979 | − | 10.1100i | −0.849011 | − | 0.655331i | ||||
\(239\) | −24.8394 | −1.60673 | −0.803365 | − | 0.595487i | \(-0.796959\pi\) | ||||
−0.803365 | + | 0.595487i | \(0.796959\pi\) | |||||||
\(240\) | 0.403128 | − | 0.282406i | 0.0260218 | − | 0.0182292i | ||||
\(241\) | 7.62307 | − | 4.40118i | 0.491045 | − | 0.283505i | −0.233963 | − | 0.972246i | \(-0.575169\pi\) |
0.725008 | + | 0.688741i | \(0.241836\pi\) | |||||||
\(242\) | 1.45106 | − | 10.9039i | 0.0932777 | − | 0.700927i | ||||
\(243\) | 14.1207 | − | 6.60352i | 0.905842 | − | 0.423616i | ||||
\(244\) | − | 3.90094i | − | 0.249732i | ||||||
\(245\) | 0.525818 | − | 1.91847i | 0.0335933 | − | 0.122566i | ||||
\(246\) | 0.239041 | − | 0.512920i | 0.0152407 | − | 0.0327026i | ||||
\(247\) | 16.3785 | − | 28.3684i | 1.04214 | − | 1.80504i | ||||
\(248\) | 3.64386 | + | 6.31135i | 0.231385 | + | 0.400771i | ||||
\(249\) | −2.78199 | + | 0.244010i | −0.176301 | + | 0.0154635i | ||||
\(250\) | 2.44115 | + | 1.40940i | 0.154392 | + | 0.0891381i | ||||
\(251\) | 14.0216i | 0.885034i | 0.896760 | + | 0.442517i | \(0.145914\pi\) | ||||
−0.896760 | + | 0.442517i | \(0.854086\pi\) | |||||||
\(252\) | −0.327055 | − | 7.93051i | −0.0206025 | − | 0.499575i | ||||
\(253\) | 5.64097 | + | 1.91926i | 0.354645 | + | 0.120663i | ||||
\(254\) | 4.81171 | + | 2.77804i | 0.301914 | + | 0.174310i | ||||
\(255\) | 0.268952 | + | 3.06635i | 0.0168424 | + | 0.192023i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 7.60623 | + | 4.39146i | 0.474464 | + | 0.273932i | 0.718106 | − | 0.695933i | \(-0.245009\pi\) |
−0.243643 | + | 0.969865i | \(0.578342\pi\) | |||||||
\(258\) | 3.60990 | + | 1.68236i | 0.224743 | + | 0.104739i | ||||
\(259\) | −27.2724 | + | 11.2054i | −1.69462 | + | 0.696271i | ||||
\(260\) | −1.71272 | −0.106219 | ||||||||
\(261\) | −1.28344 | + | 0.226888i | −0.0794428 | + | 0.0140440i | ||||
\(262\) | 9.44368 | + | 16.3569i | 0.583433 | + | 1.01054i | ||||
\(263\) | −3.93874 | − | 6.82210i | −0.242873 | − | 0.420669i | 0.718658 | − | 0.695363i | \(-0.244757\pi\) |
−0.961532 | + | 0.274695i | \(0.911423\pi\) | |||||||
\(264\) | −5.51584 | + | 1.60485i | −0.339476 | + | 0.0987715i | ||||
\(265\) | −0.546139 | −0.0335490 | ||||||||
\(266\) | −14.2513 | − | 1.91766i | −0.873804 | − | 0.117579i | ||||
\(267\) | −26.8872 | − | 12.5305i | −1.64547 | − | 0.766854i | ||||
\(268\) | 4.34158 | − | 7.51984i | 0.265204 | − | 0.459347i | ||||
\(269\) | 5.23920 | − | 3.02485i | 0.319440 | − | 0.184429i | −0.331703 | − | 0.943384i | \(-0.607623\pi\) |
0.651143 | + | 0.758955i | \(0.274290\pi\) | |||||||
\(270\) | −1.04343 | + | 1.04481i | −0.0635013 | + | 0.0635853i | ||||
\(271\) | 0.886543 | + | 0.511846i | 0.0538536 | + | 0.0310924i | 0.526685 | − | 0.850060i | \(-0.323435\pi\) |
−0.472831 | + | 0.881153i | \(0.656768\pi\) | |||||||
\(272\) | 6.25376 | 0.379190 | ||||||||
\(273\) | −14.9012 | + | 23.2546i | −0.901861 | + | 1.40744i | ||||
\(274\) | 16.9035i | 1.02118i | ||||||||
\(275\) | −10.7488 | − | 12.2740i | −0.648179 | − | 0.740151i | ||||
\(276\) | −0.271889 | − | 3.09984i | −0.0163658 | − | 0.186588i | ||||
\(277\) | −0.717044 | + | 0.413986i | −0.0430830 | + | 0.0248740i | −0.521387 | − | 0.853320i | \(-0.674585\pi\) |
0.478304 | + | 0.878194i | \(0.341252\pi\) | |||||||
\(278\) | 10.5054 | + | 6.06530i | 0.630072 | + | 0.363772i | ||||
\(279\) | −14.0607 | − | 16.7420i | −0.841794 | − | 1.00231i | ||||
\(280\) | 0.285737 | + | 0.695442i | 0.0170760 | + | 0.0415606i | ||||
\(281\) | 21.7279 | 1.29618 | 0.648089 | − | 0.761564i | \(-0.275568\pi\) | ||||
0.648089 | + | 0.761564i | \(0.275568\pi\) | |||||||
\(282\) | 5.77894 | − | 4.04835i | 0.344131 | − | 0.241076i | ||||
\(283\) | −12.2598 | + | 7.07821i | −0.728770 | + | 0.420756i | −0.817972 | − | 0.575258i | \(-0.804902\pi\) |
0.0892018 | + | 0.996014i | \(0.471568\pi\) | |||||||
\(284\) | −3.36396 | + | 1.94218i | −0.199614 | + | 0.115247i | ||||
\(285\) | 1.53488 | + | 2.19101i | 0.0909187 | + | 0.129784i | ||||
\(286\) | 18.9240 | + | 6.43862i | 1.11900 | + | 0.380724i | ||||
\(287\) | 0.684273 | + | 0.528174i | 0.0403914 | + | 0.0311771i | ||||
\(288\) | 1.92937 | + | 2.29728i | 0.113690 | + | 0.135369i | ||||
\(289\) | −11.0547 | + | 19.1474i | −0.650279 | + | 1.12632i | ||||
\(290\) | 0.106918 | − | 0.0617292i | 0.00627845 | − | 0.00362486i | ||||
\(291\) | 12.0557 | − | 1.05741i | 0.706719 | − | 0.0619867i | ||||
\(292\) | 3.80459 | + | 2.19658i | 0.222647 | + | 0.128545i | ||||
\(293\) | 5.75882 | 0.336434 | 0.168217 | − | 0.985750i | \(-0.446199\pi\) | ||||
0.168217 | + | 0.985750i | \(0.446199\pi\) | |||||||
\(294\) | 11.9284 | + | 2.17094i | 0.695679 | + | 0.126612i | ||||
\(295\) | 2.75078 | 0.160157 | ||||||||
\(296\) | 5.57207 | − | 9.65112i | 0.323870 | − | 0.560960i | ||||
\(297\) | 15.4567 | − | 7.62165i | 0.896890 | − | 0.442253i | ||||
\(298\) | −5.93990 | − | 10.2882i | −0.344089 | − | 0.595980i | ||||
\(299\) | −5.41396 | + | 9.37726i | −0.313098 | + | 0.542301i | ||||
\(300\) | −3.59917 | + | 7.72288i | −0.207798 | + | 0.445881i | ||||
\(301\) | −3.71726 | + | 4.81587i | −0.214259 | + | 0.277582i | ||||
\(302\) | 1.73061i | 0.0995854i | ||||||||
\(303\) | −10.9414 | − | 15.6186i | −0.628564 | − | 0.897262i | ||||
\(304\) | 4.70688 | − | 2.71752i | 0.269958 | − | 0.155860i | ||||
\(305\) | −0.554273 | − | 0.960029i | −0.0317376 | − | 0.0549711i | ||||
\(306\) | −18.4748 | + | 3.26600i | −1.05613 | + | 0.186705i | ||||
\(307\) | 10.5810i | 0.603888i | 0.953326 | + | 0.301944i | \(0.0976355\pi\) | ||||
−0.953326 | + | 0.301944i | \(0.902364\pi\) | |||||||
\(308\) | −0.542759 | − | 8.75816i | −0.0309265 | − | 0.499043i | ||||
\(309\) | −5.67163 | + | 12.1699i | −0.322648 | + | 0.692319i | ||||
\(310\) | 1.79352 | + | 1.03549i | 0.101865 | + | 0.0588119i | ||||
\(311\) | −5.90443 | + | 3.40892i | −0.334809 | + | 0.193302i | −0.657974 | − | 0.753040i | \(-0.728586\pi\) |
0.323165 | + | 0.946343i | \(0.395253\pi\) | |||||||
\(312\) | −0.912118 | − | 10.3992i | −0.0516385 | − | 0.588737i | ||||
\(313\) | 13.6258 | − | 23.6005i | 0.770174 | − | 1.33398i | −0.167293 | − | 0.985907i | \(-0.553503\pi\) |
0.937467 | − | 0.348074i | \(-0.113164\pi\) | |||||||
\(314\) | −11.1409 | −0.628719 | ||||||||
\(315\) | −1.20731 | − | 1.90525i | −0.0680244 | − | 0.107348i | ||||
\(316\) | 5.34926i | 0.300920i | ||||||||
\(317\) | −11.6116 | − | 6.70397i | −0.652173 | − | 0.376533i | 0.137115 | − | 0.990555i | \(-0.456217\pi\) |
−0.789288 | + | 0.614023i | \(0.789550\pi\) | |||||||
\(318\) | −0.290849 | − | 3.31600i | −0.0163100 | − | 0.185952i | ||||
\(319\) | −1.41341 | + | 0.280115i | −0.0791355 | + | 0.0156834i | ||||
\(320\) | −0.246102 | − | 0.142087i | −0.0137575 | − | 0.00794291i | ||||
\(321\) | 10.7181 | − | 22.9983i | 0.598226 | − | 1.28364i | ||||
\(322\) | 4.71081 | + | 0.633886i | 0.262523 | + | 0.0353251i | ||||
\(323\) | 33.9894i | 1.89122i | ||||||||
\(324\) | −6.89949 | − | 5.77901i | −0.383305 | − | 0.321056i | ||||
\(325\) | 25.6762 | − | 14.8242i | 1.42426 | − | 0.822298i | ||||
\(326\) | −0.415887 | − | 0.720337i | −0.0230338 | − | 0.0398958i | ||||
\(327\) | 22.5805 | − | 15.8185i | 1.24871 | − | 0.874763i | ||||
\(328\) | −0.326715 | −0.0180398 | ||||||||
\(329\) | 4.09611 | + | 9.96934i | 0.225826 | + | 0.549627i | ||||
\(330\) | −1.12943 | + | 1.17869i | −0.0621731 | + | 0.0648845i | ||||
\(331\) | 5.97956 | − | 10.3569i | 0.328666 | − | 0.569267i | −0.653581 | − | 0.756857i | \(-0.726734\pi\) |
0.982248 | + | 0.187590i | \(0.0600675\pi\) | |||||||
\(332\) | 0.806175 | + | 1.39634i | 0.0442446 | + | 0.0766339i | ||||
\(333\) | −11.4207 | + | 31.4213i | −0.625852 | + | 1.72187i | ||||
\(334\) | −9.56974 | + | 16.5753i | −0.523633 | + | 0.906959i | ||||
\(335\) | − | 2.46753i | − | 0.134816i | ||||||
\(336\) | −4.07036 | + | 2.10527i | −0.222056 | + | 0.114852i | ||||
\(337\) | − | 7.11663i | − | 0.387668i | −0.981034 | − | 0.193834i | \(-0.937908\pi\) | ||
0.981034 | − | 0.193834i | \(-0.0620923\pi\) | |||||||
\(338\) | −11.6625 | + | 20.2000i | −0.634355 | + | 1.09874i | ||||
\(339\) | 1.85669 | + | 21.1683i | 0.100841 | + | 1.14971i | ||||
\(340\) | 1.53906 | − | 0.888578i | 0.0834674 | − | 0.0481899i | ||||
\(341\) | −15.9241 | − | 18.1836i | −0.862337 | − | 0.984697i | ||||
\(342\) | −12.4858 | + | 10.4862i | −0.675156 | + | 0.567030i | ||||
\(343\) | −7.23379 | + | 17.0491i | −0.390588 | + | 0.920566i | ||||
\(344\) | − | 2.29940i | − | 0.123975i | ||||||
\(345\) | −0.507360 | − | 0.724245i | −0.0273153 | − | 0.0389920i | ||||
\(346\) | −8.80633 | − | 15.2530i | −0.473431 | − | 0.820007i | ||||
\(347\) | 0.501160 | + | 0.868034i | 0.0269037 | + | 0.0465985i | 0.879164 | − | 0.476520i | \(-0.158102\pi\) |
−0.852260 | + | 0.523118i | \(0.824769\pi\) | |||||||
\(348\) | 0.431742 | + | 0.616303i | 0.0231438 | + | 0.0330373i | ||||
\(349\) | 18.5808i | 0.994607i | 0.867577 | + | 0.497304i | \(0.165677\pi\) | ||||
−0.867577 | + | 0.497304i | \(0.834323\pi\) | |||||||
\(350\) | −10.3029 | − | 7.95256i | −0.550713 | − | 0.425082i | ||||
\(351\) | 8.12550 | + | 30.2448i | 0.433707 | + | 1.61435i | ||||
\(352\) | 2.18506 | + | 2.49510i | 0.116464 | + | 0.132989i | ||||
\(353\) | 3.11174 | − | 1.79656i | 0.165621 | − | 0.0956215i | −0.414898 | − | 0.909868i | \(-0.636183\pi\) |
0.580519 | + | 0.814246i | \(0.302850\pi\) | |||||||
\(354\) | 1.46494 | + | 16.7020i | 0.0778607 | + | 0.887700i | ||||
\(355\) | −0.551918 | + | 0.955950i | −0.0292928 | + | 0.0507366i | ||||
\(356\) | 17.1264i | 0.907695i | ||||||||
\(357\) | 1.32555 | − | 28.6276i | 0.0701553 | − | 1.51514i | ||||
\(358\) | − | 9.05366i | − | 0.478501i | ||||||
\(359\) | −5.21329 | + | 9.02968i | −0.275147 | + | 0.476569i | −0.970172 | − | 0.242417i | \(-0.922060\pi\) |
0.695025 | + | 0.718985i | \(0.255393\pi\) | |||||||
\(360\) | 0.801238 | + | 0.291227i | 0.0422289 | + | 0.0153490i | ||||
\(361\) | 5.26980 | + | 9.12756i | 0.277358 | + | 0.480398i | ||||
\(362\) | 10.5974 | − | 18.3553i | 0.556989 | − | 0.964733i | ||||
\(363\) | 16.9102 | − | 8.77754i | 0.887555 | − | 0.460701i | ||||
\(364\) | 15.8036 | + | 2.12653i | 0.828332 | + | 0.111460i | ||||
\(365\) | 1.24842 | 0.0653455 | ||||||||
\(366\) | 5.53385 | − | 3.87666i | 0.289259 | − | 0.202636i | ||||
\(367\) | 0.802276 | + | 1.38958i | 0.0418785 | + | 0.0725356i | 0.886205 | − | 0.463294i | \(-0.153332\pi\) |
−0.844326 | + | 0.535829i | \(0.819999\pi\) | |||||||
\(368\) | −1.55587 | + | 0.898282i | −0.0811053 | + | 0.0468262i | ||||
\(369\) | 0.965179 | − | 0.170625i | 0.0502452 | − | 0.00888241i | ||||
\(370\) | − | 3.16688i | − | 0.164638i | ||||||
\(371\) | 5.03931 | + | 0.678090i | 0.261628 | + | 0.0352047i | ||||
\(372\) | −5.33206 | + | 11.4412i | −0.276455 | + | 0.593200i | ||||
\(373\) | 0.443041 | + | 0.255790i | 0.0229398 | + | 0.0132443i | 0.511426 | − | 0.859327i | \(-0.329117\pi\) |
−0.488486 | + | 0.872572i | \(0.662451\pi\) | |||||||
\(374\) | −20.3457 | + | 4.03219i | −1.05205 | + | 0.208500i | ||||
\(375\) | 0.426591 | + | 4.86362i | 0.0220291 | + | 0.251156i | ||||
\(376\) | −3.52794 | − | 2.03685i | −0.181939 | − | 0.105043i | ||||
\(377\) | − | 2.61842i | − | 0.134855i | ||||||
\(378\) | 10.9252 | − | 8.34511i | 0.561930 | − | 0.429226i | ||||
\(379\) | 5.08365 | 0.261130 | 0.130565 | − | 0.991440i | \(-0.458321\pi\) | ||||
0.130565 | + | 0.991440i | \(0.458321\pi\) | |||||||
\(380\) | 0.772248 | − | 1.33757i | 0.0396155 | − | 0.0686161i | ||||
\(381\) | 0.840848 | + | 9.58662i | 0.0430779 | + | 0.491137i | ||||
\(382\) | 10.7800 | − | 6.22381i | 0.551550 | − | 0.318438i | ||||
\(383\) | 4.59160 | + | 2.65096i | 0.234620 | + | 0.135458i | 0.612702 | − | 0.790314i | \(-0.290083\pi\) |
−0.378082 | + | 0.925772i | \(0.623416\pi\) | |||||||
\(384\) | 0.731651 | − | 1.56993i | 0.0373369 | − | 0.0801153i | ||||
\(385\) | −1.37800 | − | 2.07828i | −0.0702292 | − | 0.105919i | ||||
\(386\) | − | 14.9582i | − | 0.761352i | ||||||
\(387\) | 1.20085 | + | 6.79287i | 0.0610427 | + | 0.345301i | ||||
\(388\) | −3.49355 | − | 6.05100i | −0.177358 | − | 0.307193i | ||||
\(389\) | −25.9986 | + | 15.0103i | −1.31818 | + | 0.761053i | −0.983436 | − | 0.181255i | \(-0.941984\pi\) |
−0.334747 | + | 0.942308i | \(0.608651\pi\) | |||||||
\(390\) | −1.70206 | − | 2.42966i | −0.0861873 | − | 0.123031i | ||||
\(391\) | − | 11.2353i | − | 0.568192i | ||||||
\(392\) | −1.77307 | − | 6.77172i | −0.0895535 | − | 0.342024i | ||||
\(393\) | −13.8190 | + | 29.6519i | −0.697074 | + | 1.49574i | ||||
\(394\) | 4.12317 | − | 7.14153i | 0.207722 | − | 0.359785i | ||||
\(395\) | 0.760061 | + | 1.31647i | 0.0382428 | + | 0.0662385i | ||||
\(396\) | −7.75813 | − | 6.22988i | −0.389861 | − | 0.313063i | ||||
\(397\) | −5.20199 | + | 9.01011i | −0.261080 | + | 0.452204i | −0.966529 | − | 0.256556i | \(-0.917412\pi\) |
0.705449 | + | 0.708761i | \(0.250745\pi\) | |||||||
\(398\) | 14.2687 | 0.715224 | ||||||||
\(399\) | −11.4422 | − | 22.1225i | −0.572828 | − | 1.10751i | ||||
\(400\) | 4.91924 | 0.245962 | ||||||||
\(401\) | 12.6464 | + | 7.30138i | 0.631529 | + | 0.364614i | 0.781344 | − | 0.624100i | \(-0.214534\pi\) |
−0.149815 | + | 0.988714i | \(0.547868\pi\) | |||||||
\(402\) | 14.9822 | − | 1.31409i | 0.747242 | − | 0.0655411i | ||||
\(403\) | 38.0386 | − | 21.9616i | 1.89484 | − | 1.09399i | ||||
\(404\) | −5.50494 | + | 9.53484i | −0.273881 | + | 0.474376i | ||||
\(405\) | −2.51910 | − | 0.441898i | −0.125175 | − | 0.0219581i | ||||
\(406\) | −1.06319 | + | 0.436835i | −0.0527654 | + | 0.0216797i | ||||
\(407\) | −11.9052 | + | 34.9911i | −0.590120 | + | 1.73445i | ||||
\(408\) | 6.21483 | + | 8.87154i | 0.307680 | + | 0.439207i | ||||
\(409\) | −21.6325 | + | 12.4895i | −1.06966 | + | 0.617566i | −0.928087 | − | 0.372362i | \(-0.878548\pi\) |
−0.141568 | + | 0.989928i | \(0.545215\pi\) | |||||||
\(410\) | −0.0804052 | + | 0.0464220i | −0.00397093 | + | 0.00229262i | ||||
\(411\) | −23.9792 | + | 16.7983i | −1.18280 | + | 0.828597i | ||||
\(412\) | 7.75183 | 0.381905 | ||||||||
\(413\) | −25.3819 | − | 3.41539i | −1.24896 | − | 0.168060i | ||||
\(414\) | 4.12722 | − | 3.46625i | 0.202842 | − | 0.170357i | ||||
\(415\) | 0.396803 | + | 0.229094i | 0.0194783 | + | 0.0112458i | ||||
\(416\) | −5.21955 | + | 3.01351i | −0.255910 | + | 0.147749i | ||||
\(417\) | 1.83582 | + | 20.9305i | 0.0899006 | + | 1.02497i | ||||
\(418\) | −13.5610 | + | 11.8759i | −0.663288 | + | 0.580867i | ||||
\(419\) | − | 35.4041i | − | 1.72960i | −0.502113 | − | 0.864802i | \(-0.667444\pi\) | ||
0.502113 | − | 0.864802i | \(-0.332556\pi\) | |||||||
\(420\) | −0.702592 | + | 1.09646i | −0.0342830 | + | 0.0535017i | ||||
\(421\) | 0.877958 | 0.0427891 | 0.0213945 | − | 0.999771i | \(-0.493189\pi\) | ||||
0.0213945 | + | 0.999771i | \(0.493189\pi\) | |||||||
\(422\) | −14.4945 | − | 8.36841i | −0.705581 | − | 0.407368i | ||||
\(423\) | 11.4859 | + | 4.17481i | 0.558466 | + | 0.202986i | ||||
\(424\) | −1.66437 | + | 0.960923i | −0.0808288 | + | 0.0466665i | ||||
\(425\) | −15.3819 | + | 26.6422i | −0.746131 | + | 1.29234i | ||||
\(426\) | −6.09819 | − | 2.84200i | −0.295458 | − | 0.137695i | ||||
\(427\) | 3.92238 | + | 9.54652i | 0.189817 | + | 0.461989i | ||||
\(428\) | −14.6492 | −0.708096 | ||||||||
\(429\) | 9.67245 | + | 33.2441i | 0.466990 | + | 1.60504i | ||||
\(430\) | −0.326715 | − | 0.565887i | −0.0157556 | − | 0.0272895i | ||||
\(431\) | 9.95132 | + | 17.2362i | 0.479338 | + | 0.830238i | 0.999719 | − | 0.0236962i | \(-0.00754343\pi\) |
−0.520381 | + | 0.853934i | \(0.674210\pi\) | |||||||
\(432\) | −1.34155 | + | 5.01999i | −0.0645452 | + | 0.241524i | ||||
\(433\) | 13.8697 | 0.666538 | 0.333269 | − | 0.942832i | \(-0.391848\pi\) | ||||
0.333269 | + | 0.942832i | \(0.391848\pi\) | |||||||
\(434\) | −15.2634 | − | 11.7815i | −0.732668 | − | 0.565529i | ||||
\(435\) | 0.193821 | + | 0.0903284i | 0.00929302 | + | 0.00433092i | ||||
\(436\) | −13.7850 | − | 7.95877i | −0.660182 | − | 0.381156i | ||||
\(437\) | −4.88219 | − | 8.45621i | −0.233547 | − | 0.404515i | ||||
\(438\) | 0.664854 | + | 7.58009i | 0.0317679 | + | 0.362191i | ||||
\(439\) | 9.43561 | + | 5.44765i | 0.450337 | + | 0.260002i | 0.707973 | − | 0.706240i | \(-0.249610\pi\) |
−0.257635 | + | 0.966242i | \(0.582943\pi\) | |||||||
\(440\) | 0.892269 | + | 0.303581i | 0.0425372 | + | 0.0144727i | ||||
\(441\) | 8.77449 | + | 19.0790i | 0.417833 | + | 0.908524i | ||||
\(442\) | − | 37.6915i | − | 1.79280i | ||||||
\(443\) | 12.2275 | + | 7.05956i | 0.580947 | + | 0.335410i | 0.761510 | − | 0.648154i | \(-0.224459\pi\) |
−0.180563 | + | 0.983563i | \(0.557792\pi\) | |||||||
\(444\) | 19.2284 | − | 1.68653i | 0.912540 | − | 0.0800394i | ||||
\(445\) | 2.43343 | + | 4.21483i | 0.115356 | + | 0.199802i | ||||
\(446\) | 0.543854 | − | 0.941983i | 0.0257522 | − | 0.0446042i | ||||
\(447\) | 8.69187 | − | 18.6505i | 0.411111 | − | 0.882138i | ||||
\(448\) | 2.09441 | + | 1.61662i | 0.0989514 | + | 0.0763782i | ||||
\(449\) | − | 35.3836i | − | 1.66985i | −0.550361 | − | 0.834927i | \(-0.685510\pi\) | ||
0.550361 | − | 0.834927i | \(-0.314490\pi\) | |||||||
\(450\) | −14.5324 | + | 2.56905i | −0.685064 | + | 0.121106i | ||||
\(451\) | 1.06292 | − | 0.210654i | 0.0500508 | − | 0.00991930i | ||||
\(452\) | 10.6248 | − | 6.13423i | 0.499749 | − | 0.288530i | ||||
\(453\) | −2.45503 | + | 1.71984i | −0.115348 | + | 0.0808051i | ||||
\(454\) | −8.96692 | −0.420838 | ||||||||
\(455\) | 4.19144 | − | 1.72214i | 0.196498 | − | 0.0807351i | ||||
\(456\) | 8.53264 | + | 3.97655i | 0.399577 | + | 0.186219i | ||||
\(457\) | −2.96219 | − | 1.71022i | −0.138565 | − | 0.0800007i | 0.429115 | − | 0.903250i | \(-0.358826\pi\) |
−0.567680 | + | 0.823249i | \(0.692159\pi\) | |||||||
\(458\) | −6.22490 | − | 10.7818i | −0.290871 | − | 0.503803i | ||||
\(459\) | −22.9929 | − | 22.9626i | −1.07322 | − | 1.07180i | ||||
\(460\) | −0.255269 | + | 0.442138i | −0.0119020 | + | 0.0206148i | ||||
\(461\) | 13.0512 | 0.607855 | 0.303927 | − | 0.952695i | \(-0.401702\pi\) | ||||
0.303927 | + | 0.952695i | \(0.401702\pi\) | |||||||
\(462\) | 11.8849 | − | 9.47361i | 0.552935 | − | 0.440752i | ||||
\(463\) | −18.0986 | −0.841115 | −0.420558 | − | 0.907266i | \(-0.638166\pi\) | ||||
−0.420558 | + | 0.907266i | \(0.638166\pi\) | |||||||
\(464\) | 0.217223 | − | 0.376241i | 0.0100843 | − | 0.0174666i | ||||
\(465\) | 0.313419 | + | 3.57333i | 0.0145344 | + | 0.165709i | ||||
\(466\) | −9.19303 | − | 15.9228i | −0.425859 | − | 0.737609i | ||||
\(467\) | −5.31873 | − | 3.07077i | −0.246122 | − | 0.142098i | 0.371865 | − | 0.928287i | \(-0.378718\pi\) |
−0.617987 | + | 0.786188i | \(0.712052\pi\) | |||||||
\(468\) | 13.8458 | − | 11.6284i | 0.640021 | − | 0.537522i | ||||
\(469\) | −3.06370 | + | 22.7683i | −0.141469 | + | 1.05134i | ||||
\(470\) | −1.15764 | −0.0533981 | ||||||||
\(471\) | −11.0716 | − | 15.8044i | −0.510151 | − | 0.728230i | ||||
\(472\) | 8.38305 | − | 4.83996i | 0.385861 | − | 0.222777i | ||||
\(473\) | 1.48257 | + | 7.48074i | 0.0681685 | + | 0.343965i | ||||
\(474\) | −7.58843 | + | 5.31597i | −0.348548 | + | 0.244171i | ||||
\(475\) | 26.7363i | 1.22674i | ||||||||
\(476\) | −15.3044 | + | 6.28814i | −0.701478 | + | 0.288216i | ||||
\(477\) | 4.41502 | − | 3.70796i | 0.202150 | − | 0.169776i | ||||
\(478\) | −12.4197 | + | 21.5116i | −0.568065 | + | 0.983917i | ||||
\(479\) | −3.63249 | − | 6.29166i | −0.165973 | − | 0.287473i | 0.771028 | − | 0.636802i | \(-0.219743\pi\) |
−0.937000 | + | 0.349329i | \(0.886410\pi\) | |||||||
\(480\) | −0.0430064 | − | 0.490322i | −0.00196297 | − | 0.0223800i | ||||
\(481\) | −58.1674 | − | 33.5830i | −2.65221 | − | 1.53125i | ||||
\(482\) | − | 8.80236i | − | 0.400937i | ||||||
\(483\) | 3.78226 | + | 7.31266i | 0.172099 | + | 0.332738i | ||||
\(484\) | −8.71750 | − | 6.70859i | −0.396250 | − | 0.304936i | ||||
\(485\) | −1.71954 | − | 0.992777i | −0.0780803 | − | 0.0450797i | ||||
\(486\) | 1.34152 | − | 15.5306i | 0.0608527 | − | 0.704483i | ||||
\(487\) | 20.5335 | + | 35.5650i | 0.930461 | + | 1.61161i | 0.782535 | + | 0.622607i | \(0.213926\pi\) |
0.147926 | + | 0.988998i | \(0.452740\pi\) | |||||||
\(488\) | −3.37831 | − | 1.95047i | −0.152929 | − | 0.0882936i | ||||
\(489\) | 0.608567 | − | 1.30583i | 0.0275204 | − | 0.0590516i | ||||
\(490\) | −1.39853 | − | 1.41460i | −0.0631792 | − | 0.0639053i | ||||
\(491\) | 35.9140 | 1.62078 | 0.810389 | − | 0.585892i | \(-0.199256\pi\) | ||||
0.810389 | + | 0.585892i | \(0.199256\pi\) | |||||||
\(492\) | −0.324681 | − | 0.463476i | −0.0146378 | − | 0.0208951i | ||||
\(493\) | 1.35846 | + | 2.35292i | 0.0611820 | + | 0.105970i | ||||
\(494\) | −16.3785 | − | 28.3684i | −0.736905 | − | 1.27636i | ||||
\(495\) | −2.79448 | − | 0.430855i | −0.125602 | − | 0.0193655i | ||||
\(496\) | 7.28772 | 0.327228 | ||||||||
\(497\) | 6.27955 | − | 8.13543i | 0.281676 | − | 0.364924i | ||||
\(498\) | −1.17968 | + | 2.53128i | −0.0528626 | + | 0.113429i | ||||
\(499\) | 6.45040 | − | 11.1724i | 0.288760 | − | 0.500146i | −0.684754 | − | 0.728774i | \(-0.740091\pi\) |
0.973514 | + | 0.228628i | \(0.0734239\pi\) | |||||||
\(500\) | 2.44115 | − | 1.40940i | 0.109171 | − | 0.0630301i | ||||
\(501\) | −33.0238 | + | 2.89653i | −1.47539 | + | 0.129408i | ||||
\(502\) | 12.1430 | + | 7.01079i | 0.541971 | + | 0.312907i | ||||
\(503\) | 2.65238 | 0.118264 | 0.0591319 | − | 0.998250i | \(-0.481167\pi\) | ||||
0.0591319 | + | 0.998250i | \(0.481167\pi\) | |||||||
\(504\) | −7.03155 | − | 3.68202i | −0.313210 | − | 0.164010i | ||||
\(505\) | 3.12872i | 0.139226i | ||||||||
\(506\) | 4.48261 | − | 3.92559i | 0.199276 | − | 0.174514i | ||||
\(507\) | −40.2455 | + | 3.52995i | −1.78736 | + | 0.156771i | ||||
\(508\) | 4.81171 | − | 2.77804i | 0.213485 | − | 0.123256i | ||||
\(509\) | −10.6064 | − | 6.12359i | −0.470119 | − | 0.271423i | 0.246171 | − | 0.969226i | \(-0.420828\pi\) |
−0.716289 | + | 0.697803i | \(0.754161\pi\) | |||||||
\(510\) | 2.79002 | + | 1.30026i | 0.123544 | + | 0.0575764i | ||||
\(511\) | −11.5194 | − | 1.55005i | −0.509589 | − | 0.0685703i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −27.2838 | − | 7.29135i | −1.20461 | − | 0.321921i | ||||
\(514\) | 7.60623 | − | 4.39146i | 0.335497 | − | 0.193699i | ||||
\(515\) | 1.90774 | − | 1.10144i | 0.0840652 | − | 0.0485351i | ||||
\(516\) | 3.26191 | − | 2.28509i | 0.143598 | − | 0.100595i | ||||
\(517\) | 12.7909 | + | 4.35192i | 0.562543 | + | 0.191397i | ||||
\(518\) | −3.93202 | + | 29.2213i | −0.172763 | + | 1.28391i | ||||
\(519\) | 12.8863 | − | 27.6507i | 0.565647 | − | 1.21373i | ||||
\(520\) | −0.856362 | + | 1.48326i | −0.0375539 | + | 0.0650453i | ||||
\(521\) | −1.51792 | + | 0.876371i | −0.0665012 | + | 0.0383945i | −0.532882 | − | 0.846190i | \(-0.678891\pi\) |
0.466381 | + | 0.884584i | \(0.345558\pi\) | |||||||
\(522\) | −0.445229 | + | 1.22493i | −0.0194871 | + | 0.0536139i | ||||
\(523\) | 10.9425 | + | 6.31768i | 0.478484 | + | 0.276253i | 0.719784 | − | 0.694198i | \(-0.244241\pi\) |
−0.241301 | + | 0.970450i | \(0.577574\pi\) | |||||||
\(524\) | 18.8874 | 0.825099 | ||||||||
\(525\) | 1.04268 | − | 22.5187i | 0.0455064 | − | 0.982796i | ||||
\(526\) | −7.87749 | −0.343475 | ||||||||
\(527\) | −22.7878 | + | 39.4696i | −0.992653 | + | 1.71932i | ||||
\(528\) | −1.36808 | + | 5.57928i | −0.0595380 | + | 0.242807i | ||||
\(529\) | −9.88618 | − | 17.1234i | −0.429834 | − | 0.744494i | ||||
\(530\) | −0.273069 | + | 0.472970i | −0.0118614 | + | 0.0205445i | ||||
\(531\) | −22.2375 | + | 18.6762i | −0.965026 | + | 0.810477i | ||||
\(532\) | −8.78639 | + | 11.3832i | −0.380938 | + | 0.493523i | ||||
\(533\) | 1.96912i | 0.0852919i | ||||||||
\(534\) | −24.2953 | + | 17.0198i | −1.05136 | + | 0.736517i | ||||
\(535\) | −3.60520 | + | 2.08146i | −0.155866 | + | 0.0899895i | ||||
\(536\) | −4.34158 | − | 7.51984i | −0.187528 | − | 0.324808i | ||||
\(537\) | 12.8435 | − | 8.99731i | 0.554236 | − | 0.388262i | ||||
\(538\) | − | 6.04971i | − | 0.260822i | ||||||
\(539\) | 10.1346 | + | 20.8876i | 0.436527 | + | 0.899691i | ||||
\(540\) | 0.383118 | + | 1.42605i | 0.0164868 | + | 0.0613672i | ||||
\(541\) | 28.9602 | + | 16.7202i | 1.24510 | + | 0.718856i | 0.970127 | − | 0.242597i | \(-0.0779992\pi\) |
0.274969 | + | 0.961453i | \(0.411333\pi\) | |||||||
\(542\) | 0.886543 | − | 0.511846i | 0.0380803 | − | 0.0219857i | ||||
\(543\) | 36.5702 | − | 3.20759i | 1.56938 | − | 0.137651i | ||||
\(544\) | 3.12688 | − | 5.41591i | 0.134064 | − | 0.232205i | ||||
\(545\) | −4.52336 | −0.193759 | ||||||||
\(546\) | 12.6885 | + | 24.5321i | 0.543018 | + | 1.04988i | ||||
\(547\) | − | 18.9288i | − | 0.809336i | −0.914464 | − | 0.404668i | \(-0.867387\pi\) | ||
0.914464 | − | 0.404668i | \(-0.132613\pi\) | |||||||
\(548\) | 14.6388 | + | 8.45173i | 0.625340 | + | 0.361040i | ||||
\(549\) | 10.9988 | + | 3.99775i | 0.469418 | + | 0.170620i | ||||
\(550\) | −16.0040 | + | 3.17175i | −0.682414 | + | 0.135244i | ||||
\(551\) | 2.04489 | + | 1.18061i | 0.0871150 | + | 0.0502959i | ||||
\(552\) | −2.82048 | − | 1.31446i | −0.120048 | − | 0.0559470i | ||||
\(553\) | −5.37867 | − | 13.0909i | −0.228724 | − | 0.556683i | ||||
\(554\) | 0.827971i | 0.0351771i | ||||||||
\(555\) | 4.49252 | − | 3.14717i | 0.190697 | − | 0.133590i | ||||
\(556\) | 10.5054 | − | 6.06530i | 0.445528 | − | 0.257226i | ||||
\(557\) | 8.23820 | + | 14.2690i | 0.349064 | + | 0.604596i | 0.986083 | − | 0.166251i | \(-0.0531663\pi\) |
−0.637020 | + | 0.770848i | \(0.719833\pi\) | |||||||
\(558\) | −21.5293 | + | 3.80598i | −0.911409 | + | 0.161120i | ||||
\(559\) | −13.8585 | −0.586153 | ||||||||
\(560\) | 0.745139 | + | 0.100266i | 0.0314879 | + | 0.00423701i | ||||
\(561\) | −25.9391 | − | 24.8551i | −1.09515 | − | 1.04938i | ||||
\(562\) | 10.8640 | − | 18.8169i | 0.458268 | − | 0.793744i | ||||
\(563\) | 14.0143 | + | 24.2734i | 0.590631 | + | 1.02300i | 0.994148 | + | 0.108031i | \(0.0344546\pi\) |
−0.403516 | + | 0.914972i | \(0.632212\pi\) | |||||||
\(564\) | −0.616508 | − | 7.02889i | −0.0259597 | − | 0.295970i | ||||
\(565\) | 1.74319 | − | 3.01930i | 0.0733366 | − | 0.127023i | ||||
\(566\) | 14.1564i | 0.595038i | ||||||||
\(567\) | 22.6955 | + | 7.20520i | 0.953121 | + | 0.302590i | ||||
\(568\) | 3.88436i | 0.162984i | ||||||||
\(569\) | −13.8711 | + | 24.0254i | −0.581506 | + | 1.00720i | 0.413795 | + | 0.910370i | \(0.364203\pi\) |
−0.995301 | + | 0.0968278i | \(0.969130\pi\) | |||||||
\(570\) | 2.66492 | − | 0.233741i | 0.111621 | − | 0.00979035i | ||||
\(571\) | −1.71070 | + | 0.987670i | −0.0715904 | + | 0.0413327i | −0.535368 | − | 0.844619i | \(-0.679827\pi\) |
0.463778 | + | 0.885952i | \(0.346494\pi\) | |||||||
\(572\) | 15.0380 | − | 13.1694i | 0.628771 | − | 0.550639i | ||||
\(573\) | 19.5419 | + | 9.10731i | 0.816375 | + | 0.380463i | ||||
\(574\) | 0.799549 | − | 0.328511i | 0.0333725 | − | 0.0137118i | ||||
\(575\) | − | 8.83774i | − | 0.368559i | ||||||
\(576\) | 2.95419 | − | 0.522246i | 0.123091 | − | 0.0217602i | ||||
\(577\) | 9.70603 | + | 16.8113i | 0.404067 | + | 0.699865i | 0.994212 | − | 0.107432i | \(-0.0342628\pi\) |
−0.590145 | + | 0.807297i | \(0.700929\pi\) | |||||||
\(578\) | 11.0547 | + | 19.1474i | 0.459817 | + | 0.796426i | ||||
\(579\) | 21.2196 | − | 14.8651i | 0.881857 | − | 0.617773i | ||||
\(580\) | − | 0.123458i | − | 0.00512633i | ||||||
\(581\) | −3.37691 | − | 2.60656i | −0.140098 | − | 0.108138i | ||||
\(582\) | 5.11211 | − | 10.9693i | 0.211904 | − | 0.454691i | ||||
\(583\) | 4.79520 | − | 4.19934i | 0.198597 | − | 0.173919i | ||||
\(584\) | 3.80459 | − | 2.19658i | 0.157435 | − | 0.0908953i | ||||
\(585\) | 1.75523 | − | 4.82907i | 0.0725699 | − | 0.199658i | ||||
\(586\) | 2.87941 | − | 4.98728i | 0.118947 | − | 0.206023i | ||||
\(587\) | − | 13.5713i | − | 0.560148i | −0.959978 | − | 0.280074i | \(-0.909641\pi\) | ||
0.959978 | − | 0.280074i | \(-0.0903590\pi\) | |||||||
\(588\) | 7.84429 | − | 9.24484i | 0.323493 | − | 0.381251i | ||||
\(589\) | 39.6090i | 1.63206i | ||||||||
\(590\) | 1.37539 | − | 2.38225i | 0.0566239 | − | 0.0980756i | ||||
\(591\) | 14.2284 | − | 1.24799i | 0.585280 | − | 0.0513352i | ||||
\(592\) | −5.57207 | − | 9.65112i | −0.229011 | − | 0.396658i | ||||
\(593\) | 18.6257 | − | 32.2607i | 0.764867 | − | 1.32479i | −0.175450 | − | 0.984488i | \(-0.556138\pi\) |
0.940317 | − | 0.340300i | \(-0.110529\pi\) | |||||||
\(594\) | 1.12782 | − | 17.1967i | 0.0462749 | − | 0.705591i | ||||
\(595\) | −2.87299 | + | 3.72209i | −0.117781 | + | 0.152591i | ||||
\(596\) | −11.8798 | −0.486616 | ||||||||
\(597\) | 14.1799 | + | 20.2415i | 0.580343 | + | 0.828428i | ||||
\(598\) | 5.41396 | + | 9.37726i | 0.221393 | + | 0.383465i | ||||
\(599\) | −24.6430 | + | 14.2276i | −1.00688 | + | 0.581325i | −0.910278 | − | 0.413998i | \(-0.864132\pi\) |
−0.0966066 | + | 0.995323i | \(0.530799\pi\) | |||||||
\(600\) | 4.88863 | + | 6.97841i | 0.199577 | + | 0.284892i | ||||
\(601\) | 4.98600i | 0.203383i | 0.994816 | + | 0.101692i | \(0.0324255\pi\) | ||||
−0.994816 | + | 0.101692i | \(0.967575\pi\) | |||||||
\(602\) | 2.31204 | + | 5.62717i | 0.0942317 | + | 0.229347i | ||||
\(603\) | 16.7531 | + | 19.9477i | 0.682238 | + | 0.812333i | ||||
\(604\) | 1.49875 | + | 0.865305i | 0.0609834 | + | 0.0352088i | ||||
\(605\) | −3.09860 | − | 0.412354i | −0.125976 | − | 0.0167646i | ||||
\(606\) | −18.9967 | + | 1.66622i | −0.771690 | + | 0.0676854i | ||||
\(607\) | 5.30947 | + | 3.06542i | 0.215505 | + | 0.124422i | 0.603867 | − | 0.797085i | \(-0.293626\pi\) |
−0.388362 | + | 0.921507i | \(0.626959\pi\) | |||||||
\(608\) | − | 5.43503i | − | 0.220420i | ||||||
\(609\) | −1.67627 | − | 1.07412i | −0.0679258 | − | 0.0435257i | ||||
\(610\) | −1.10855 | −0.0448837 | ||||||||
\(611\) | −12.2762 | + | 21.2629i | −0.496640 | + | 0.860206i | ||||
\(612\) | −6.40897 | + | 17.6327i | −0.259067 | + | 0.712758i | ||||
\(613\) | −18.9061 | + | 10.9154i | −0.763609 | + | 0.440870i | −0.830590 | − | 0.556884i | \(-0.811997\pi\) |
0.0669808 | + | 0.997754i | \(0.478663\pi\) | |||||||
\(614\) | 9.16339 | + | 5.29048i | 0.369804 | + | 0.213507i | ||||
\(615\) | −0.145759 | − | 0.0679293i | −0.00587756 | − | 0.00273917i | ||||
\(616\) | −7.85617 | − | 3.90904i | −0.316534 | − | 0.157500i | ||||
\(617\) | 8.66345i | 0.348777i | 0.984677 | + | 0.174389i | \(0.0557949\pi\) | ||||
−0.984677 | + | 0.174389i | \(0.944205\pi\) | |||||||
\(618\) | 7.70359 | + | 10.9967i | 0.309884 | + | 0.442352i | ||||
\(619\) | −15.3069 | − | 26.5123i | −0.615236 | − | 1.06562i | −0.990343 | − | 0.138639i | \(-0.955727\pi\) |
0.375107 | − | 0.926982i | \(-0.377606\pi\) | |||||||
\(620\) | 1.79352 | − | 1.03549i | 0.0720296 | − | 0.0415863i | ||||
\(621\) | 9.01872 | + | 2.41017i | 0.361909 | + | 0.0967170i | ||||
\(622\) | 6.81785i | 0.273371i | ||||||||
\(623\) | −17.2205 | − | 41.9123i | −0.689925 | − | 1.67918i | ||||
\(624\) | −9.46201 | − | 4.40967i | −0.378784 | − | 0.176528i | ||||
\(625\) | −11.8976 | + | 20.6072i | −0.475904 | + | 0.824290i | ||||
\(626\) | −13.6258 | − | 23.6005i | −0.544596 | − | 0.943267i | ||||
\(627\) | −30.3236 | − | 7.43556i | −1.21101 | − | 0.296948i | ||||
\(628\) | −5.57046 | + | 9.64832i | −0.222286 | + | 0.385010i | ||||
\(629\) | 69.6928 | 2.77883 | ||||||||
\(630\) | −2.25365 | + | 0.0929406i | −0.0897875 | + | 0.00370284i | ||||
\(631\) | −12.7107 | −0.506006 | −0.253003 | − | 0.967465i | \(-0.581418\pi\) | ||||
−0.253003 | + | 0.967465i | \(0.581418\pi\) | |||||||
\(632\) | 4.63260 | + | 2.67463i | 0.184275 | + | 0.106391i | ||||
\(633\) | −2.53292 | − | 28.8781i | −0.100674 | − | 1.14780i | ||||
\(634\) | −11.6116 | + | 6.70397i | −0.461156 | + | 0.266249i | ||||
\(635\) | 0.789448 | − | 1.36736i | 0.0313283 | − | 0.0542622i | ||||
\(636\) | −3.01717 | − | 1.40612i | −0.119638 | − | 0.0557563i | ||||
\(637\) | −40.8133 | + | 10.6863i | −1.61708 | + | 0.423407i | ||||
\(638\) | −0.464116 | + | 1.36410i | −0.0183745 | + | 0.0540053i | ||||
\(639\) | −2.02859 | − | 11.4752i | −0.0802499 | − | 0.453951i | ||||
\(640\) | −0.246102 | + | 0.142087i | −0.00972804 | + | 0.00561649i | ||||
\(641\) | −6.94573 | + | 4.01012i | −0.274340 | + | 0.158390i | −0.630858 | − | 0.775898i | \(-0.717297\pi\) |
0.356518 | + | 0.934288i | \(0.383964\pi\) | |||||||
\(642\) | −14.5580 | − | 20.7813i | −0.574560 | − | 0.820172i | ||||
\(643\) | −46.2342 | −1.82330 | −0.911649 | − | 0.410969i | \(-0.865190\pi\) | ||||
−0.911649 | + | 0.410969i | \(0.865190\pi\) | |||||||
\(644\) | 2.90436 | − | 3.76273i | 0.114448 | − | 0.148272i | ||||
\(645\) | 0.478082 | − | 1.02584i | 0.0188245 | − | 0.0403924i | ||||
\(646\) | 29.4357 | + | 16.9947i | 1.15813 | + | 0.668647i | ||||
\(647\) | 28.0821 | − | 16.2132i | 1.10402 | − | 0.637407i | 0.166747 | − | 0.986000i | \(-0.446674\pi\) |
0.937274 | + | 0.348593i | \(0.113340\pi\) | |||||||
\(648\) | −8.45452 | + | 3.08563i | −0.332125 | + | 0.121215i | ||||
\(649\) | −24.1524 | + | 21.1512i | −0.948063 | + | 0.830255i | ||||
\(650\) | − | 29.6484i | − | 1.16291i | ||||||
\(651\) | 1.54470 | − | 33.3608i | 0.0605417 | − | 1.30751i | ||||
\(652\) | −0.831773 | −0.0325748 | ||||||||
\(653\) | 27.2177 | + | 15.7141i | 1.06511 | + | 0.614942i | 0.926842 | − | 0.375453i | \(-0.122513\pi\) |
0.138269 | + | 0.990395i | \(0.455846\pi\) | |||||||
\(654\) | −2.40893 | − | 27.4646i | −0.0941967 | − | 1.07395i | ||||
\(655\) | 4.64822 | − | 2.68365i | 0.181621 | − | 0.104859i | ||||
\(656\) | −0.163357 | + | 0.282943i | −0.00637804 | + | 0.0110471i | ||||
\(657\) | −10.0923 | + | 8.47606i | −0.393740 | + | 0.330683i | ||||
\(658\) | 10.6818 | + | 1.43734i | 0.416418 | + | 0.0560332i | ||||
\(659\) | −20.9664 | −0.816737 | −0.408368 | − | 0.912817i | \(-0.633902\pi\) | ||||
−0.408368 | + | 0.912817i | \(0.633902\pi\) | |||||||
\(660\) | 0.456056 | + | 1.56746i | 0.0177520 | + | 0.0610133i | ||||
\(661\) | −0.654442 | − | 1.13353i | −0.0254548 | − | 0.0440891i | 0.853017 | − | 0.521883i | \(-0.174770\pi\) |
−0.878472 | + | 0.477793i | \(0.841437\pi\) | |||||||
\(662\) | −5.97956 | − | 10.3569i | −0.232402 | − | 0.402533i | ||||
\(663\) | 53.4690 | − | 37.4569i | 2.07656 | − | 1.45471i | ||||
\(664\) | 1.61235 | 0.0625713 | ||||||||
\(665\) | −0.544949 | + | 4.04985i | −0.0211322 | + | 0.157047i | ||||
\(666\) | 21.5012 | + | 25.6013i | 0.833156 | + | 0.992029i | ||||
\(667\) | −0.675942 | − | 0.390255i | −0.0261726 | − | 0.0151107i | ||||
\(668\) | 9.56974 | + | 16.5753i | 0.370264 | + | 0.641317i | ||||
\(669\) | 1.87676 | − | 0.164612i | 0.0725597 | − | 0.00636426i | ||||
\(670\) | −2.13695 | − | 1.23377i | −0.0825574 | − | 0.0476645i | ||||
\(671\) | 12.2484 | + | 4.16735i | 0.472845 | + | 0.160879i | ||||
\(672\) | −0.211960 | + | 4.57767i | −0.00817653 | + | 0.176587i | ||||
\(673\) | − | 38.4311i | − | 1.48141i | −0.671829 | − | 0.740706i | \(-0.734491\pi\) | ||
0.671829 | − | 0.740706i | \(-0.265509\pi\) | |||||||
\(674\) | −6.16319 | − | 3.55832i | −0.237397 | − | 0.137061i | ||||
\(675\) | −18.0864 | − | 18.0625i | −0.696146 | − | 0.695227i | ||||
\(676\) | 11.6625 | + | 20.2000i | 0.448557 | + | 0.776923i | ||||
\(677\) | 4.01555 | − | 6.95514i | 0.154330 | − | 0.267308i | −0.778485 | − | 0.627664i | \(-0.784011\pi\) |
0.932815 | + | 0.360356i | \(0.117345\pi\) | |||||||
\(678\) | 19.2607 | + | 8.97623i | 0.739701 | + | 0.344730i | ||||
\(679\) | 14.6338 | + | 11.2955i | 0.561594 | + | 0.433481i | ||||
\(680\) | − | 1.77716i | − | 0.0681509i | ||||||
\(681\) | −8.91111 | − | 12.7204i | −0.341475 | − | 0.487448i | ||||
\(682\) | −23.7095 | + | 4.69885i | −0.907883 | + | 0.179928i | ||||
\(683\) | 22.5996 | − | 13.0479i | 0.864751 | − | 0.499264i | −0.000849280 | − | 1.00000i | \(-0.500270\pi\) |
0.865600 | + | 0.500735i | \(0.166937\pi\) | |||||||
\(684\) | 2.83842 | + | 16.0561i | 0.108530 | + | 0.613922i | ||||
\(685\) | 4.80353 | 0.183533 | ||||||||
\(686\) | 11.1481 | + | 14.7892i | 0.425635 | + | 0.564654i | ||||
\(687\) | 9.10891 | − | 19.5454i | 0.347526 | − | 0.745702i | ||||
\(688\) | −1.99134 | − | 1.14970i | −0.0759190 | − | 0.0438319i | ||||
\(689\) | 5.79150 | + | 10.0312i | 0.220638 | + | 0.382157i | ||||
\(690\) | −0.880894 | + | 0.0772638i | −0.0335351 | + | 0.00294138i | ||||
\(691\) | 6.88382 | − | 11.9231i | 0.261873 | − | 0.453577i | −0.704867 | − | 0.709340i | \(-0.748993\pi\) |
0.966740 | + | 0.255762i | \(0.0823265\pi\) | |||||||
\(692\) | −17.6127 | −0.669533 | ||||||||
\(693\) | 25.2501 | + | 7.44520i | 0.959173 | + | 0.282820i | ||||
\(694\) | 1.00232 | 0.0380475 | ||||||||
\(695\) | 1.72360 | − | 2.98537i | 0.0653799 | − | 0.113241i | ||||
\(696\) | 0.749605 | − | 0.0657483i | 0.0284137 | − | 0.00249218i | ||||
\(697\) | −1.02160 | − | 1.76946i | −0.0386958 | − | 0.0670230i | ||||
\(698\) | 16.0914 | + | 9.29040i | 0.609070 | + | 0.351647i | ||||
\(699\) | 13.4522 | − | 28.8649i | 0.508808 | − | 1.09177i | ||||
\(700\) | −12.0386 | + | 4.94629i | −0.455015 | + | 0.186952i | ||||
\(701\) | 16.6844 | 0.630162 | 0.315081 | − | 0.949065i | \(-0.397968\pi\) | ||||
0.315081 | + | 0.949065i | \(0.397968\pi\) | |||||||
\(702\) | 30.2555 | + | 8.08553i | 1.14192 | + | 0.305169i | ||||
\(703\) | 52.4541 | − | 30.2844i | 1.97835 | − | 1.14220i | ||||
\(704\) | 3.25335 | − | 0.644763i | 0.122615 | − | 0.0243004i | ||||
\(705\) | −1.15044 | − | 1.64223i | −0.0433280 | − | 0.0618498i | ||||
\(706\) | − | 3.59313i | − | 0.135229i | ||||||
\(707\) | 3.88464 | − | 28.8692i | 0.146097 | − | 1.08574i | ||||
\(708\) | 15.1968 | + | 7.08231i | 0.571131 | + | 0.266170i | ||||
\(709\) | −9.07757 | + | 15.7228i | −0.340915 | + | 0.590483i | −0.984603 | − | 0.174806i | \(-0.944070\pi\) |
0.643688 | + | 0.765288i | \(0.277404\pi\) | |||||||
\(710\) | 0.551918 | + | 0.955950i | 0.0207131 | + | 0.0358762i | ||||
\(711\) | −15.0824 | − | 5.48203i | −0.565634 | − | 0.205592i | ||||
\(712\) | 14.8319 | + | 8.56318i | 0.555847 | + | 0.320919i | ||||
\(713\) | − | 13.0929i | − | 0.490331i | ||||||
\(714\) | −24.1295 | − | 15.4618i | −0.903024 | − | 0.578643i | ||||
\(715\) | 1.82969 | − | 5.37772i | 0.0684266 | − | 0.201115i | ||||
\(716\) | −7.84070 | − | 4.52683i | −0.293021 | − | 0.169176i | ||||
\(717\) | −42.8586 | + | 3.75916i | −1.60059 | + | 0.140388i | ||||
\(718\) | 5.21329 | + | 9.02968i | 0.194558 | + | 0.336985i | ||||
\(719\) | −13.2458 | − | 7.64744i | −0.493983 | − | 0.285201i | 0.232242 | − | 0.972658i | \(-0.425394\pi\) |
−0.726225 | + | 0.687457i | \(0.758727\pi\) | |||||||
\(720\) | 0.652829 | − | 0.548279i | 0.0243295 | − | 0.0204331i | ||||
\(721\) | −18.9706 | + | 7.79445i | −0.706501 | + | 0.290280i | ||||
\(722\) | 10.5396 | 0.392243 | ||||||||
\(723\) | 12.4870 | − | 8.74757i | 0.464396 | − | 0.325326i | ||||
\(724\) | −10.5974 | − | 18.3553i | −0.393851 | − | 0.682169i | ||||
\(725\) | 1.06857 | + | 1.85082i | 0.0396858 | + | 0.0687379i | ||||
\(726\) | 0.853527 | − | 19.0334i | 0.0316774 | − | 0.706397i | ||||
\(727\) | 9.71636 | 0.360360 | 0.180180 | − | 0.983634i | \(-0.442332\pi\) | ||||
0.180180 | + | 0.983634i | \(0.442332\pi\) | |||||||
\(728\) | 9.74341 | − | 12.6230i | 0.361115 | − | 0.467840i | ||||
\(729\) | 23.3648 | − | 13.5309i | 0.865364 | − | 0.501144i | ||||
\(730\) | 0.624212 | − | 1.08117i | 0.0231031 | − | 0.0400158i | ||||
\(731\) | 12.4533 | − | 7.18994i | 0.460603 | − | 0.265929i | ||||
\(732\) | −0.590361 | − | 6.73078i | −0.0218204 | − | 0.248777i | ||||
\(733\) | 20.6665 | + | 11.9318i | 0.763336 | + | 0.440712i | 0.830492 | − | 0.557030i | \(-0.188059\pi\) |
−0.0671561 | + | 0.997742i | \(0.521393\pi\) | |||||||
\(734\) | 1.60455 | 0.0592251 | ||||||||
\(735\) | 0.616924 | − | 3.38975i | 0.0227556 | − | 0.125033i | ||||
\(736\) | 1.79656i | 0.0662222i | ||||||||
\(737\) | 18.9732 | + | 21.6654i | 0.698887 | + | 0.798054i | ||||
\(738\) | 0.334823 | − | 0.921182i | 0.0123250 | − | 0.0339092i | ||||
\(739\) | 13.0082 | − | 7.51031i | 0.478516 | − | 0.276271i | −0.241282 | − | 0.970455i | \(-0.577568\pi\) |
0.719798 | + | 0.694184i | \(0.244235\pi\) | |||||||
\(740\) | −2.74260 | − | 1.58344i | −0.100820 | − | 0.0582084i | ||||
\(741\) | 23.9667 | − | 51.4264i | 0.880439 | − | 1.88919i | ||||
\(742\) | 3.10690 | − | 4.02512i | 0.114058 | − | 0.147767i | ||||
\(743\) | 29.1581 | 1.06971 | 0.534853 | − | 0.844945i | \(-0.320367\pi\) | ||||
0.534853 | + | 0.844945i | \(0.320367\pi\) | |||||||
\(744\) | 7.24236 | + | 10.3383i | 0.265518 | + | 0.379021i | ||||
\(745\) | −2.92365 | + | 1.68797i | −0.107114 | + | 0.0618423i | ||||
\(746\) | 0.443041 | − | 0.255790i | 0.0162209 | − | 0.00936513i | ||||
\(747\) | −4.76319 | + | 0.842043i | −0.174276 | + | 0.0308087i | ||||
\(748\) | −6.68085 | + | 19.6360i | −0.244276 | + | 0.717962i | ||||
\(749\) | 35.8501 | − | 14.7297i | 1.30993 | − | 0.538213i | ||||
\(750\) | 4.42532 | + | 2.06237i | 0.161590 | + | 0.0753072i | ||||
\(751\) | 10.3432 | − | 17.9150i | 0.377430 | − | 0.653728i | −0.613257 | − | 0.789883i | \(-0.710141\pi\) |
0.990688 | + | 0.136155i | \(0.0434745\pi\) | |||||||
\(752\) | −3.52794 | + | 2.03685i | −0.128651 | + | 0.0742765i | ||||
\(753\) | 2.12200 | + | 24.1932i | 0.0773300 | + | 0.881649i | ||||
\(754\) | −2.26761 | − | 1.30921i | −0.0825816 | − | 0.0476785i | ||||
\(755\) | 0.491795 | 0.0178982 | ||||||||
\(756\) | −1.76450 | − | 13.6340i | −0.0641742 | − | 0.495865i | ||||
\(757\) | −19.7101 | −0.716375 | −0.358188 | − | 0.933650i | \(-0.616605\pi\) | ||||
−0.358188 | + | 0.933650i | \(0.616605\pi\) | |||||||
\(758\) | 2.54183 | − | 4.40257i | 0.0923233 | − | 0.159909i | ||||
\(759\) | 10.0235 | + | 2.45784i | 0.363831 | + | 0.0892141i | ||||
\(760\) | −0.772248 | − | 1.33757i | −0.0280124 | − | 0.0485189i | ||||
\(761\) | −20.8209 | + | 36.0628i | −0.754757 | + | 1.30728i | 0.190738 | + | 0.981641i | \(0.438912\pi\) |
−0.945495 | + | 0.325636i | \(0.894422\pi\) | |||||||
\(762\) | 8.72268 | + | 4.06511i | 0.315989 | + | 0.147264i | ||||
\(763\) | 41.7377 | + | 5.61623i | 1.51101 | + | 0.203321i | ||||
\(764\) | − | 12.4476i | − | 0.450339i | ||||||
\(765\) | 0.928113 | + | 5.25007i | 0.0335560 | + | 0.189817i | ||||
\(766\) | 4.59160 | − | 2.65096i | 0.165901 | − | 0.0957832i | ||||
\(767\) | −29.1705 | − | 50.5248i | −1.05329 | − | 1.82434i | ||||
\(768\) | −0.993776 | − | 1.41859i | −0.0358598 | − | 0.0511891i | ||||
\(769\) | − | 5.30858i | − | 0.191432i | −0.995409 | − | 0.0957161i | \(-0.969486\pi\) | ||
0.995409 | − | 0.0957161i | \(-0.0305141\pi\) | |||||||
\(770\) | −2.48884 | + | 0.154238i | −0.0896917 | + | 0.00555835i | ||||
\(771\) | 13.7886 | + | 6.42603i | 0.496584 | + | 0.231428i | ||||
\(772\) | −12.9542 | − | 7.47910i | −0.466231 | − | 0.269179i | ||||
\(773\) | 27.8900 | − | 16.1023i | 1.00314 | − | 0.579160i | 0.0939608 | − | 0.995576i | \(-0.470047\pi\) |
0.909174 | + | 0.416415i | \(0.136714\pi\) | |||||||
\(774\) | 6.48322 | + | 2.35647i | 0.233035 | + | 0.0847014i | ||||
\(775\) | −17.9250 | + | 31.0471i | −0.643886 | + | 1.11524i | ||||
\(776\) | −6.98710 | −0.250822 | ||||||||
\(777\) | −45.3607 | + | 23.4615i | −1.62731 | + | 0.841676i | ||||
\(778\) | 30.0206i | 1.07629i | ||||||||
\(779\) | −1.53781 | − | 0.887853i | −0.0550976 | − | 0.0318106i | ||||
\(780\) | −2.95518 | + | 0.259200i | −0.105812 | + | 0.00928086i | ||||
\(781\) | −2.50450 | − | 12.6372i | −0.0896179 | − | 0.452194i | ||||
\(782\) | −9.73003 | − | 5.61764i | −0.347945 | − | 0.200886i | ||||
\(783\) | −2.18014 | + | 0.585711i | −0.0779119 | + | 0.0209316i | ||||
\(784\) | −6.75102 | − | 1.85034i | −0.241108 | − | 0.0660835i | ||||
\(785\) | 3.16596i | 0.112998i | ||||||||
\(786\) | 18.7698 | + | 26.7935i | 0.669497 | + | 0.955693i | ||||
\(787\) | 25.9819 | − | 15.0006i | 0.926153 | − | 0.534715i | 0.0405602 | − | 0.999177i | \(-0.487086\pi\) |
0.885593 | + | 0.464462i | \(0.153752\pi\) | |||||||
\(788\) | −4.12317 | − | 7.14153i | −0.146882 | − | 0.254407i | ||||
\(789\) | −7.82846 | − | 11.1750i | −0.278700 | − | 0.397839i | ||||
\(790\) | 1.52012 | 0.0540835 | ||||||||
\(791\) | −19.8335 | + | 25.6951i | −0.705197 | + | 0.913614i | ||||
\(792\) | −9.27430 | + | 3.60380i | −0.329548 | + | 0.128056i | ||||
\(793\) | −11.7555 | + | 20.3611i | −0.417450 | + | 0.723045i | ||||
\(794\) | 5.20199 | + | 9.01011i | 0.184612 | + | 0.319757i | ||||
\(795\) | −0.942323 | + | 0.0826517i | −0.0334207 | + | 0.00293135i | ||||
\(796\) | 7.13434 | − | 12.3570i | 0.252870 | − | 0.437984i | ||||
\(797\) | 35.9024i | 1.27173i | 0.771802 | + | 0.635864i | \(0.219356\pi\) | ||||
−0.771802 | + | 0.635864i | \(0.780644\pi\) | |||||||
\(798\) | −24.8798 | − | 1.15201i | −0.880735 | − | 0.0407807i | ||||
\(799\) | − | 25.4760i | − | 0.901276i | ||||||
\(800\) | 2.45962 | − | 4.26019i | 0.0869608 | − | 0.150621i | ||||
\(801\) | −48.2883 | − | 17.5514i | −1.70618 | − | 0.620148i | ||||
\(802\) | 12.6464 | − | 7.30138i | 0.446559 | − | 0.257821i | ||||
\(803\) | −10.9614 | + | 9.59931i | −0.386819 | + | 0.338752i | ||||
\(804\) | 6.35304 | − | 13.6320i | 0.224055 | − | 0.480763i | ||||
\(805\) | 0.180134 | − | 1.33869i | 0.00634889 | − | 0.0471826i | ||||
\(806\) | − | 43.9232i | − | 1.54713i | ||||||
\(807\) | 8.58208 | − | 6.01206i | 0.302104 | − | 0.211634i | ||||
\(808\) | 5.50494 | + | 9.53484i | 0.193663 | + | 0.335434i | ||||
\(809\) | −22.7425 | − | 39.3912i | −0.799585 | − | 1.38492i | −0.919887 | − | 0.392184i | \(-0.871720\pi\) |
0.120302 | − | 0.992737i | \(-0.461614\pi\) | |||||||
\(810\) | −1.64225 | + | 1.96066i | −0.0577027 | + | 0.0688905i | ||||
\(811\) | 15.4966i | 0.544160i | 0.962275 | + | 0.272080i | \(0.0877115\pi\) | ||||
−0.962275 | + | 0.272080i | \(0.912288\pi\) | |||||||
\(812\) | −0.153287 | + | 1.13917i | −0.00537931 | + | 0.0399770i | ||||
\(813\) | 1.60713 | + | 0.748985i | 0.0563644 | + | 0.0262680i | ||||
\(814\) | 24.3506 | + | 27.8058i | 0.853488 | + | 0.974592i | ||||
\(815\) | −0.204701 | + | 0.118184i | −0.00717037 | + | 0.00413982i | ||||
\(816\) | 10.7904 | − | 0.946432i | 0.377740 | − | 0.0331318i | ||||
\(817\) | 6.24865 | − | 10.8230i | 0.218613 | − | 0.378648i | ||||
\(818\) | 24.9790i | 0.873370i | ||||||||
\(819\) | −22.1916 | + | 42.3793i | −0.775437 | + | 1.48085i | ||||
\(820\) | 0.0928439i | 0.00324225i | ||||||||
\(821\) | −19.5209 | + | 33.8113i | −0.681285 | + | 1.18002i | 0.293303 | + | 0.956019i | \(0.405245\pi\) |
−0.974589 | + | 0.224001i | \(0.928088\pi\) | |||||||
\(822\) | 2.55814 | + | 29.1657i | 0.0892253 | + | 1.01727i | ||||
\(823\) | −20.0995 | − | 34.8133i | −0.700624 | − | 1.21352i | −0.968248 | − | 0.249992i | \(-0.919572\pi\) |
0.267624 | − | 0.963523i | \(-0.413761\pi\) | |||||||
\(824\) | 3.87592 | − | 6.71328i | 0.135024 | − | 0.233868i | ||||
\(825\) | −20.4038 | − | 19.5512i | −0.710370 | − | 0.680686i | ||||
\(826\) | −15.6488 | + | 20.2737i | −0.544490 | + | 0.705411i | ||||
\(827\) | −3.20205 | −0.111346 | −0.0556732 | − | 0.998449i | \(-0.517730\pi\) | ||||
−0.0556732 | + | 0.998449i | \(0.517730\pi\) | |||||||
\(828\) | −0.938248 | − | 5.30740i | −0.0326064 | − | 0.184445i | ||||
\(829\) | −6.56231 | − | 11.3662i | −0.227918 | − | 0.394766i | 0.729273 | − | 0.684223i | \(-0.239859\pi\) |
−0.957191 | + | 0.289457i | \(0.906525\pi\) | |||||||
\(830\) | 0.396803 | − | 0.229094i | 0.0137732 | − | 0.00795197i | ||||
\(831\) | −1.17456 | + | 0.822818i | −0.0407449 | + | 0.0285432i | ||||
\(832\) | 6.02702i | 0.208949i | ||||||||
\(833\) | 31.1309 | − | 30.7771i | 1.07862 | − | 1.06636i | ||||
\(834\) | 19.0442 | + | 8.87536i | 0.659447 | + | 0.307328i | ||||
\(835\) | 4.71027 | + | 2.71947i | 0.163006 | + | 0.0941113i | ||||
\(836\) | 3.50431 | + | 17.6821i | 0.121199 | + | 0.611547i | ||||
\(837\) | −26.7945 | − | 26.7591i | −0.926152 | − | 0.924929i | ||||
\(838\) | −30.6609 | − | 17.7021i | −1.05916 | − | 0.611507i | ||||
\(839\) | 22.7217i | 0.784439i | 0.919872 | + | 0.392220i | \(0.128293\pi\) | ||||
−0.919872 | + | 0.392220i | \(0.871707\pi\) | |||||||
\(840\) | 0.598264 | + | 1.15669i | 0.0206421 | + | 0.0399096i | ||||
\(841\) | −28.8113 | −0.993492 | ||||||||
\(842\) | 0.438979 | − | 0.760334i | 0.0151282 | − | 0.0262028i | ||||
\(843\) | 37.4899 | − | 3.28826i | 1.29122 | − | 0.113254i | ||||
\(844\) | −14.4945 | + | 8.36841i | −0.498921 | + | 0.288052i | ||||
\(845\) | 5.74032 | + | 3.31417i | 0.197473 | + | 0.114011i | ||||
\(846\) | 9.35847 | − | 7.85971i | 0.321751 | − | 0.270223i | ||||
\(847\) | 28.0793 | + | 7.65210i | 0.964815 | + | 0.262929i | ||||
\(848\) | 1.92185i | 0.0659964i | ||||||||
\(849\) | −20.0822 | + | 14.0683i | −0.689220 | + | 0.482823i | ||||
\(850\) | 15.3819 | + | 26.6422i | 0.527594 | + | 0.913820i | ||||
\(851\) | −17.3388 | + | 10.0106i | −0.594368 | + | 0.343159i | ||||
\(852\) | −5.51034 | + | 3.86019i | −0.188781 | + | 0.132248i | ||||
\(853\) | − | 21.8003i | − | 0.746428i | −0.927745 | − | 0.373214i | \(-0.878256\pi\) | ||
0.927745 | − | 0.373214i | \(-0.121744\pi\) | |||||||
\(854\) | 10.2287 | + | 1.37638i | 0.350020 | + | 0.0470987i | ||||
\(855\) | 2.97991 | + | 3.54815i | 0.101911 | + | 0.121344i | ||||
\(856\) | −7.32460 | + | 12.6866i | −0.250350 | + | 0.433619i | ||||
\(857\) | 14.0547 | + | 24.3434i | 0.480098 | + | 0.831554i | 0.999739 | − | 0.0228304i | \(-0.00726778\pi\) |
−0.519641 | + | 0.854384i | \(0.673934\pi\) | |||||||
\(858\) | 33.6264 | + | 8.24544i | 1.14799 | + | 0.281495i | ||||
\(859\) | −12.9428 | + | 22.4176i | −0.441603 | + | 0.764879i | −0.997809 | − | 0.0661656i | \(-0.978923\pi\) |
0.556205 | + | 0.831045i | \(0.312257\pi\) | |||||||
\(860\) | −0.653430 | −0.0222818 | ||||||||
\(861\) | 1.26060 | + | 0.807769i | 0.0429610 | + | 0.0275287i | ||||
\(862\) | 19.9026 | 0.677886 | ||||||||
\(863\) | −11.3331 | − | 6.54315i | −0.385782 | − | 0.222731i | 0.294549 | − | 0.955636i | \(-0.404831\pi\) |
−0.680331 | + | 0.732905i | \(0.738164\pi\) | |||||||
\(864\) | 3.67666 | + | 3.67181i | 0.125083 | + | 0.124917i | ||||
\(865\) | −4.33451 | + | 2.50253i | −0.147378 | + | 0.0850887i | ||||
\(866\) | 6.93487 | − | 12.0116i | 0.235657 | − | 0.408169i | ||||
\(867\) | −16.1764 | + | 34.7104i | −0.549380 | + | 1.17883i | ||||
\(868\) | −17.8348 | + | 7.32778i | −0.605352 | + | 0.248721i | ||||
\(869\) | −16.7960 | − | 5.71458i | −0.569764 | − | 0.193854i | ||||
\(870\) | 0.175137 | − | 0.122690i | 0.00593771 | − | 0.00415958i | ||||
\(871\) | −45.3222 | + | 26.1668i | −1.53569 | + | 0.886628i | ||||
\(872\) | −13.7850 | + | 7.95877i | −0.466819 | + | 0.269518i | ||||
\(873\) | 20.6412 | − | 3.64898i | 0.698600 | − | 0.123499i | ||||
\(874\) | −9.76439 | −0.330285 | ||||||||
\(875\) | −4.55692 | + | 5.90370i | −0.154052 | + | 0.199581i | ||||
\(876\) | 6.89697 | + | 3.21426i | 0.233027 | + | 0.108600i | ||||
\(877\) | 27.9816 | + | 16.1552i | 0.944872 | + | 0.545522i | 0.891484 | − | 0.453052i | \(-0.149665\pi\) |
0.0533875 | + | 0.998574i | \(0.482998\pi\) | |||||||
\(878\) | 9.43561 | − | 5.44765i | 0.318436 | − | 0.183849i | ||||
\(879\) | 9.93641 | − | 0.871529i | 0.335147 | − | 0.0293959i | ||||
\(880\) | 0.709044 | − | 0.620937i | 0.0239019 | − | 0.0209318i | ||||
\(881\) | 16.1735i | 0.544899i | 0.962170 | + | 0.272450i | \(0.0878338\pi\) | ||||
−0.962170 | + | 0.272450i | \(0.912166\pi\) | |||||||
\(882\) | 20.9101 | + | 1.94057i | 0.704081 | + | 0.0653423i | ||||
\(883\) | 9.98793 | 0.336121 | 0.168060 | − | 0.985777i | \(-0.446250\pi\) | ||||
0.168060 | + | 0.985777i | \(0.446250\pi\) | |||||||
\(884\) | −32.6418 | − | 18.8458i | −1.09786 | − | 0.633851i | ||||
\(885\) | 4.74627 | − | 0.416298i | 0.159544 | − | 0.0139937i | ||||
\(886\) | 12.2275 | − | 7.05956i | 0.410791 | − | 0.237171i | ||||
\(887\) | 16.1800 | − | 28.0247i | 0.543273 | − | 0.940976i | −0.455441 | − | 0.890266i | \(-0.650518\pi\) |
0.998713 | − | 0.0507096i | \(-0.0161483\pi\) | |||||||
\(888\) | 8.15362 | − | 17.4956i | 0.273618 | − | 0.587112i | ||||
\(889\) | −8.98209 | + | 11.6367i | −0.301250 | + | 0.390282i | ||||
\(890\) | 4.86687 | 0.163138 | ||||||||
\(891\) | 25.5160 | − | 15.4898i | 0.854818 | − | 0.518928i | ||||
\(892\) | −0.543854 | − | 0.941983i | −0.0182096 | − | 0.0315399i | ||||
\(893\) | −11.0704 | − | 19.1745i | −0.370456 | − | 0.641649i | ||||
\(894\) | −11.8059 | − | 16.8526i | −0.394847 | − | 0.563636i | ||||
\(895\) | −2.57282 | −0.0859998 | ||||||||
\(896\) | 2.44724 | − | 1.00550i | 0.0817565 | − | 0.0335913i | ||||
\(897\) | −7.92226 | + | 16.9991i | −0.264516 | + | 0.567584i | ||||
\(898\) | −30.6431 | − | 17.6918i | −1.02257 | − | 0.590382i | ||||
\(899\) | 1.58306 | + | 2.74194i | 0.0527980 | + | 0.0914489i | ||||
\(900\) | −5.04133 | + | 13.8700i | −0.168044 | + | 0.462332i | ||||
\(901\) | −10.4085 | − | 6.00938i | −0.346759 | − | 0.200201i | ||||
\(902\) | 0.349027 | − | 1.02584i | 0.0116213 | − | 0.0341567i | ||||
\(903\) | −5.68503 | + | 8.87200i | −0.189186 | + | 0.295242i | ||||
\(904\) | − | 12.2685i | − | 0.408043i | ||||||
\(905\) | −5.21610 | − | 3.01152i | −0.173389 | − | 0.100106i | ||||
\(906\) | 0.261907 | + | 2.98604i | 0.00870129 | + | 0.0992046i | ||||
\(907\) | 8.02681 | + | 13.9028i | 0.266526 | + | 0.461636i | 0.967962 | − | 0.251096i | \(-0.0807909\pi\) |
−0.701436 | + | 0.712732i | \(0.747458\pi\) | |||||||
\(908\) | −4.48346 | + | 7.76558i | −0.148789 | + | 0.257710i | ||||
\(909\) | −21.2422 | − | 25.2928i | −0.704559 | − | 0.838910i | ||||
\(910\) | 0.604305 | − | 4.49096i | 0.0200325 | − | 0.148874i | ||||
\(911\) | 22.7800i | 0.754734i | 0.926064 | + | 0.377367i | \(0.123171\pi\) | ||||
−0.926064 | + | 0.377367i | \(0.876829\pi\) | |||||||
\(912\) | 7.71011 | − | 5.40121i | 0.255307 | − | 0.178852i | ||||
\(913\) | −5.24554 | + | 1.03958i | −0.173602 | + | 0.0344052i | ||||
\(914\) | −2.96219 | + | 1.71022i | −0.0979805 | + | 0.0565690i | ||||
\(915\) | −1.10165 | − | 1.57258i | −0.0364193 | − | 0.0519878i | ||||
\(916\) | −12.4498 | −0.411353 | ||||||||
\(917\) | −46.2219 | + | 18.9912i | −1.52638 | + | 0.627145i | ||||
\(918\) | −31.3827 | + | 8.43118i | −1.03578 | + | 0.278271i | ||||
\(919\) | −26.9216 | − | 15.5432i | −0.888061 | − | 0.512722i | −0.0147535 | − | 0.999891i | \(-0.504696\pi\) |
−0.873308 | + | 0.487169i | \(0.838030\pi\) | |||||||
\(920\) | 0.255269 | + | 0.442138i | 0.00841596 | + | 0.0145769i | ||||
\(921\) | 1.60130 | + | 18.2567i | 0.0527648 | + | 0.601578i | ||||
\(922\) | 6.52560 | − | 11.3027i | 0.214909 | − | 0.372234i | ||||
\(923\) | 23.4111 | 0.770587 | ||||||||
\(924\) | −2.26193 | − | 15.0294i | −0.0744122 | − | 0.494432i | ||||
\(925\) | 54.8208 | 1.80250 | ||||||||
\(926\) | −9.04932 | + | 15.6739i | −0.297379 | + | 0.515076i | ||||
\(927\) | −7.94422 | + | 21.8565i | −0.260923 | + | 0.717862i | ||||
\(928\) | −0.217223 | − | 0.376241i | −0.00713070 | − | 0.0123507i | ||||
\(929\) | −9.05995 | − | 5.23076i | −0.297247 | − | 0.171616i | 0.343958 | − | 0.938985i | \(-0.388232\pi\) |
−0.641206 | + | 0.767369i | \(0.721565\pi\) | |||||||
\(930\) | 3.25130 | + | 1.51523i | 0.106614 | + | 0.0496865i | ||||
\(931\) | 10.0567 | − | 36.6920i | 0.329593 | − | 1.20253i | ||||
\(932\) | −18.3861 | −0.602255 | ||||||||
\(933\) | −9.67176 | + | 6.77541i | −0.316639 | + | 0.221817i | ||||
\(934\) | −5.31873 | + | 3.07077i | −0.174034 | + | 0.100479i | ||||
\(935\) | 1.14585 | + | 5.78171i | 0.0374732 | + | 0.189082i | ||||
\(936\) | −3.14758 | − | 17.8050i | −0.102882 | − | 0.581974i | ||||
\(937\) | − | 27.1309i | − | 0.886328i | −0.896441 | − | 0.443164i | \(-0.853856\pi\) | ||
0.896441 | − | 0.443164i | \(-0.146144\pi\) | |||||||
\(938\) | 18.1861 | + | 14.0374i | 0.593796 | + | 0.458337i | ||||
\(939\) | 19.9386 | − | 42.7831i | 0.650672 | − | 1.39617i | ||||
\(940\) | −0.578822 | + | 1.00255i | −0.0188791 | + | 0.0326995i | ||||
\(941\) | 9.89770 | + | 17.1433i | 0.322656 | + | 0.558856i | 0.981035 | − | 0.193830i | \(-0.0620911\pi\) |
−0.658379 | + | 0.752686i | \(0.728758\pi\) | |||||||
\(942\) | −19.2228 | + | 1.68605i | −0.626314 | + | 0.0549344i | ||||
\(943\) | 0.508326 | + | 0.293482i | 0.0165534 | + | 0.00955709i | ||||
\(944\) | − | 9.67991i | − | 0.315054i | ||||||
\(945\) | −2.37147 | − | 3.10465i | −0.0771438 | − | 0.100994i | ||||
\(946\) | 7.21980 | + | 2.45643i | 0.234736 | + | 0.0798655i | ||||
\(947\) | −31.4053 | − | 18.1318i | −1.02053 | − | 0.589205i | −0.106275 | − | 0.994337i | \(-0.533892\pi\) |
−0.914258 | + | 0.405131i | \(0.867226\pi\) | |||||||
\(948\) | 0.809548 | + | 9.22976i | 0.0262929 | + | 0.299769i | ||||
\(949\) | −13.2388 | − | 22.9304i | −0.429751 | − | 0.744351i | ||||
\(950\) | 23.1543 | + | 13.3681i | 0.751224 | + | 0.433719i | ||||
\(951\) | −21.0496 | − | 9.80993i | −0.682579 | − | 0.318109i | ||||
\(952\) | −2.20653 | + | 16.3981i | −0.0715140 | + | 0.531465i | ||||
\(953\) | −39.1127 | −1.26699 | −0.633493 | − | 0.773749i | \(-0.718379\pi\) | ||||
−0.633493 | + | 0.773749i | \(0.718379\pi\) | |||||||
\(954\) | −1.00368 | − | 5.67750i | −0.0324952 | − | 0.183816i | ||||
\(955\) | −1.76865 | − | 3.06338i | −0.0572320 | − | 0.0991288i | ||||
\(956\) | 12.4197 | + | 21.5116i | 0.401683 | + | 0.695735i | ||||
\(957\) | −2.39633 | + | 0.697220i | −0.0774625 | + | 0.0225379i | ||||
\(958\) | −7.26498 | −0.234721 | ||||||||
\(959\) | −44.3229 | − | 5.96409i | −1.43126 | − | 0.192591i | ||||
\(960\) | −0.446134 | − | 0.207916i | −0.0143989 | − | 0.00671047i | ||||
\(961\) | −11.0554 | + | 19.1485i | −0.356626 | + | 0.617695i | ||||
\(962\) | −58.1674 | + | 33.5830i | −1.87539 | + | 1.08276i | ||||
\(963\) | 15.0128 | − | 41.3039i | 0.483780 | − | 1.33100i | ||||
\(964\) | −7.62307 | − | 4.40118i | −0.245522 | − | 0.141752i | ||||
\(965\) | −4.25074 | −0.136836 | ||||||||
\(966\) | 8.22408 | + | 0.380800i | 0.264605 | + | 0.0122520i | ||||
\(967\) | 50.7537i | 1.63213i | 0.577961 | + | 0.816064i | \(0.303849\pi\) | ||||
−0.577961 | + | 0.816064i | \(0.696151\pi\) | |||||||
\(968\) | −10.1686 | + | 4.19528i | −0.326830 | + | 0.134841i | ||||
\(969\) | 5.14389 | + | 58.6462i | 0.165246 | + | 1.88399i | ||||
\(970\) | −1.71954 | + | 0.992777i | −0.0552111 | + | 0.0318761i | ||||
\(971\) | 0.389942 | + | 0.225133i | 0.0125138 | + | 0.00722486i | 0.506244 | − | 0.862390i | \(-0.331034\pi\) |
−0.493730 | + | 0.869615i | \(0.664367\pi\) | |||||||
\(972\) | −12.7792 | − | 8.92711i | −0.409892 | − | 0.286337i | ||||
\(973\) | −19.6106 | + | 25.4064i | −0.628686 | + | 0.814491i | ||||
\(974\) | 41.0670 | 1.31587 | ||||||||
\(975\) | 42.0590 | − | 29.4638i | 1.34697 | − | 0.943598i | ||||
\(976\) | −3.37831 | + | 1.95047i | −0.108137 | + | 0.0624330i | ||||
\(977\) | −4.01364 | + | 2.31728i | −0.128408 | + | 0.0741363i | −0.562828 | − | 0.826574i | \(-0.690287\pi\) |
0.434420 | + | 0.900710i | \(0.356953\pi\) | |||||||
\(978\) | −0.826596 | − | 1.17995i | −0.0264316 | − | 0.0377306i | ||||
\(979\) | −53.7744 | − | 18.2960i | −1.71864 | − | 0.584742i | ||||
\(980\) | −1.92435 | + | 0.503861i | −0.0614711 | + | 0.0160952i | ||||
\(981\) | 36.5671 | − | 30.7109i | 1.16750 | − | 0.980524i | ||||
\(982\) | 17.9570 | − | 31.1025i | 0.573031 | − | 0.992520i | ||||
\(983\) | −28.8337 | + | 16.6472i | −0.919654 | + | 0.530962i | −0.883525 | − | 0.468385i | \(-0.844836\pi\) |
−0.0361291 | + | 0.999347i | \(0.511503\pi\) | |||||||
\(984\) | −0.563722 | + | 0.0494444i | −0.0179708 | + | 0.00157623i | ||||
\(985\) | −2.02944 | − | 1.17170i | −0.0646633 | − | 0.0373334i | ||||
\(986\) | 2.71692 | 0.0865244 | ||||||||
\(987\) | 8.57627 | + | 16.5815i | 0.272986 | + | 0.527794i | ||||
\(988\) | −32.7570 | −1.04214 | ||||||||
\(989\) | −2.06551 | + | 3.57756i | −0.0656793 | + | 0.113760i | ||||
\(990\) | −1.77037 | + | 2.20466i | −0.0562661 | + | 0.0700688i | ||||
\(991\) | 0.378039 | + | 0.654782i | 0.0120088 | + | 0.0207998i | 0.871967 | − | 0.489564i | \(-0.162844\pi\) |
−0.859959 | + | 0.510364i | \(0.829511\pi\) | |||||||
\(992\) | 3.64386 | − | 6.31135i | 0.115693 | − | 0.200386i | ||||
\(993\) | 8.74990 | − | 18.7750i | 0.277670 | − | 0.595807i | ||||
\(994\) | −3.90572 | − | 9.50597i | −0.123882 | − | 0.301511i | ||||
\(995\) | − | 4.05479i | − | 0.128545i | ||||||
\(996\) | 1.60231 | + | 2.28727i | 0.0507713 | + | 0.0724749i | ||||
\(997\) | −27.9874 | + | 16.1585i | −0.886368 | + | 0.511745i | −0.872753 | − | 0.488162i | \(-0.837667\pi\) |
−0.0136154 | + | 0.999907i | \(0.504334\pi\) | |||||||
\(998\) | −6.45040 | − | 11.1724i | −0.204184 | − | 0.353657i | ||||
\(999\) | −14.9504 | + | 55.9435i | −0.473010 | + | 1.76997i |
(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 | 462.2.n.f.65.12 | yes | 24 | |
3.2 | odd | 2 | 462.2.n.e.65.4 | ✓ | 24 | ||
7.4 | even | 3 | inner | 462.2.n.f.263.4 | yes | 24 | |
11.10 | odd | 2 | 462.2.n.e.65.12 | yes | 24 | ||
21.11 | odd | 6 | 462.2.n.e.263.12 | yes | 24 | ||
33.32 | even | 2 | inner | 462.2.n.f.65.4 | yes | 24 | |
77.32 | odd | 6 | 462.2.n.e.263.4 | yes | 24 | ||
231.32 | even | 6 | inner | 462.2.n.f.263.12 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.n.e.65.4 | ✓ | 24 | 3.2 | odd | 2 | ||
462.2.n.e.65.12 | yes | 24 | 11.10 | odd | 2 | ||
462.2.n.e.263.4 | yes | 24 | 77.32 | odd | 6 | ||
462.2.n.e.263.12 | yes | 24 | 21.11 | odd | 6 | ||
462.2.n.f.65.4 | yes | 24 | 33.32 | even | 2 | inner | |
462.2.n.f.65.12 | yes | 24 | 1.1 | even | 1 | trivial | |
462.2.n.f.263.4 | yes | 24 | 7.4 | even | 3 | inner | |
462.2.n.f.263.12 | yes | 24 | 231.32 | even | 6 | inner |