Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(37,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bb (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | no (minimal twist has level 49) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 46.1 | ||
Character | \(\chi\) | \(=\) | 441.46 |
Dual form | 441.2.bb.d.163.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{11}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.940144 | + | 2.39545i | −0.664782 | + | 1.69384i | 0.0539436 | + | 0.998544i | \(0.482821\pi\) |
−0.718726 | + | 0.695294i | \(0.755274\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.38820 | − | 3.14379i | −1.69410 | − | 1.57189i | ||||
\(5\) | 0.392378 | + | 0.267519i | 0.175477 | + | 0.119638i | 0.647873 | − | 0.761748i | \(-0.275659\pi\) |
−0.472396 | + | 0.881386i | \(0.656611\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.60453 | + | 2.10369i | −0.606454 | + | 0.795119i | ||||
\(8\) | 6.07919 | − | 2.92758i | 2.14932 | − | 1.03506i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.00972 | + | 0.688415i | −0.319302 | + | 0.217696i | ||||
\(11\) | −3.28657 | + | 0.495370i | −0.990937 | + | 0.149360i | −0.624451 | − | 0.781064i | \(-0.714677\pi\) |
−0.366486 | + | 0.930424i | \(0.619439\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.76976 | − | 3.47317i | −0.768194 | − | 0.963284i | 0.231761 | − | 0.972773i | \(-0.425551\pi\) |
−0.999955 | + | 0.00948840i | \(0.996980\pi\) | |||||||
\(14\) | −3.53079 | − | 5.82133i | −0.943642 | − | 1.55581i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.606748 | + | 8.09649i | 0.151687 | + | 2.02412i | ||||
\(17\) | −0.946896 | − | 0.292079i | −0.229656 | − | 0.0708395i | 0.177791 | − | 0.984068i | \(-0.443105\pi\) |
−0.407447 | + | 0.913229i | \(0.633581\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0478826 | − | 0.0829351i | −0.0109850 | − | 0.0190266i | 0.860481 | − | 0.509483i | \(-0.170163\pi\) |
−0.871466 | + | 0.490457i | \(0.836830\pi\) | |||||||
\(20\) | −0.488432 | − | 2.13996i | −0.109217 | − | 0.478510i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.90321 | − | 8.33852i | 0.405766 | − | 1.77778i | ||||
\(23\) | 0.486025 | − | 0.149919i | 0.101343 | − | 0.0312603i | −0.243669 | − | 0.969858i | \(-0.578351\pi\) |
0.345012 | + | 0.938598i | \(0.387875\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.74431 | − | 4.44443i | −0.348862 | − | 0.888886i | ||||
\(26\) | 10.9238 | − | 3.36954i | 2.14233 | − | 0.660821i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 12.0500 | − | 2.08342i | 2.27723 | − | 0.393729i | ||||
\(29\) | −1.47014 | − | 6.44112i | −0.272999 | − | 1.19609i | −0.906453 | − | 0.422306i | \(-0.861221\pi\) |
0.633455 | − | 0.773780i | \(-0.281636\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.404047 | − | 0.699830i | 0.0725690 | − | 0.125693i | −0.827458 | − | 0.561528i | \(-0.810214\pi\) |
0.900027 | + | 0.435835i | \(0.143547\pi\) | |||||||
\(32\) | −7.06990 | − | 2.18078i | −1.24979 | − | 0.385510i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.58988 | − | 1.99364i | 0.272662 | − | 0.341907i | ||||
\(35\) | −1.19236 | + | 0.396200i | −0.201545 | + | 0.0669700i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.32031 | + | 2.15293i | −0.381456 | + | 0.353940i | −0.847475 | − | 0.530835i | \(-0.821878\pi\) |
0.466019 | + | 0.884775i | \(0.345688\pi\) | |||||||
\(38\) | 0.243683 | − | 0.0367293i | 0.0395306 | − | 0.00595828i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.16852 | + | 0.477578i | 0.500988 | + | 0.0755117i | ||||
\(41\) | −7.92765 | + | 3.81776i | −1.23809 | + | 0.596233i | −0.934294 | − | 0.356504i | \(-0.883969\pi\) |
−0.303797 | + | 0.952737i | \(0.598254\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.60449 | + | 3.18056i | 1.00718 | + | 0.485030i | 0.863368 | − | 0.504575i | \(-0.168351\pi\) |
0.143808 | + | 0.989606i | \(0.454065\pi\) | |||||||
\(44\) | 12.6929 | + | 8.65385i | 1.91352 | + | 1.30462i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.0978108 | + | 1.30519i | −0.0144214 | + | 0.192440i | ||||
\(47\) | 0.443785 | − | 1.13075i | 0.0647327 | − | 0.164936i | −0.894847 | − | 0.446373i | \(-0.852716\pi\) |
0.959580 | + | 0.281436i | \(0.0908109\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.85099 | − | 6.75084i | −0.264428 | − | 0.964406i | ||||
\(50\) | 12.2863 | 1.73755 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.53441 | + | 20.4753i | −0.212785 | + | 2.83942i | ||||
\(53\) | 0.333215 | + | 0.309178i | 0.0457705 | + | 0.0424689i | 0.702726 | − | 0.711460i | \(-0.251966\pi\) |
−0.656956 | + | 0.753929i | \(0.728156\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.42210 | − | 0.684846i | −0.191756 | − | 0.0923447i | ||||
\(56\) | −3.59550 | + | 17.4861i | −0.480468 | + | 2.33668i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 16.8115 | + | 2.53393i | 2.20746 | + | 0.332721i | ||||
\(59\) | −3.90255 | + | 2.66071i | −0.508068 | + | 0.346395i | −0.790068 | − | 0.613019i | \(-0.789955\pi\) |
0.281999 | + | 0.959415i | \(0.409002\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.93259 | + | 8.28823i | −1.14370 | + | 1.06120i | −0.146293 | + | 0.989241i | \(0.546734\pi\) |
−0.997408 | + | 0.0719582i | \(0.977075\pi\) | |||||||
\(62\) | 1.29654 | + | 1.62581i | 0.164661 | + | 0.206479i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.74620 | − | 2.18966i | 0.218275 | − | 0.273708i | ||||
\(65\) | −0.157655 | − | 2.10376i | −0.0195547 | − | 0.260939i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.22934 | + | 5.59338i | −0.394527 | + | 0.683340i | −0.993041 | − | 0.117772i | \(-0.962425\pi\) |
0.598514 | + | 0.801112i | \(0.295758\pi\) | |||||||
\(68\) | 2.29004 | + | 3.96646i | 0.277708 | + | 0.481004i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.171912 | − | 3.22871i | 0.0205474 | − | 0.385905i | ||||
\(71\) | −1.45614 | + | 6.37976i | −0.172812 | + | 0.757139i | 0.812020 | + | 0.583629i | \(0.198368\pi\) |
−0.984832 | + | 0.173509i | \(0.944489\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.26184 | − | 5.76306i | −0.264728 | − | 0.674516i | 0.735267 | − | 0.677778i | \(-0.237057\pi\) |
−0.999995 | + | 0.00326211i | \(0.998962\pi\) | |||||||
\(74\) | −2.97581 | − | 7.58224i | −0.345931 | − | 0.881417i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0984946 | + | 0.431533i | −0.0112981 | + | 0.0495002i | ||||
\(77\) | 4.23128 | − | 7.70874i | 0.482199 | − | 0.878492i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.49455 | − | 4.32069i | −0.280659 | − | 0.486116i | 0.690888 | − | 0.722962i | \(-0.257220\pi\) |
−0.971547 | + | 0.236846i | \(0.923886\pi\) | |||||||
\(80\) | −1.92789 | + | 3.33920i | −0.215545 | + | 0.373334i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.69210 | − | 22.5795i | −0.186861 | − | 2.49349i | ||||
\(83\) | 10.8545 | − | 13.6111i | 1.19144 | − | 1.49401i | 0.364975 | − | 0.931017i | \(-0.381078\pi\) |
0.826460 | − | 0.562995i | \(-0.190351\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.293405 | − | 0.367918i | −0.0318242 | − | 0.0399063i | ||||
\(86\) | −13.8280 | + | 12.8305i | −1.49112 | + | 1.38355i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −18.5294 | + | 12.6331i | −1.97524 | + | 1.34670i | ||||
\(89\) | −9.88950 | − | 1.49060i | −1.04829 | − | 0.158004i | −0.397761 | − | 0.917489i | \(-0.630213\pi\) |
−0.650524 | + | 0.759485i | \(0.725451\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.7506 | − | 0.253917i | 1.23180 | − | 0.0266178i | ||||
\(92\) | −2.11806 | − | 1.02001i | −0.220823 | − | 0.106343i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.29142 | + | 2.12613i | 0.236342 | + | 0.219293i | ||||
\(95\) | 0.00339862 | − | 0.0453514i | 0.000348691 | − | 0.00465296i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.44708 | 0.451532 | 0.225766 | − | 0.974182i | \(-0.427512\pi\) | ||||
0.225766 | + | 0.974182i | \(0.427512\pi\) | |||||||
\(98\) | 17.9115 | + | 1.91280i | 1.80933 | + | 0.193222i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.06228 | + | 20.5423i | −0.806228 | + | 2.05423i | ||||
\(101\) | −0.674598 | + | 9.00188i | −0.0671250 | + | 0.895720i | 0.857413 | + | 0.514630i | \(0.172071\pi\) |
−0.924538 | + | 0.381091i | \(0.875549\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −15.7301 | − | 10.7246i | −1.54993 | − | 1.05672i | −0.970318 | − | 0.241831i | \(-0.922252\pi\) |
−0.579611 | − | 0.814893i | \(-0.696796\pi\) | |||||||
\(104\) | −27.0059 | − | 13.0053i | −2.64814 | − | 1.27528i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.05389 | + | 0.507526i | −0.102363 | + | 0.0492953i | ||||
\(107\) | 2.20422 | + | 0.332232i | 0.213090 | + | 0.0321181i | 0.254719 | − | 0.967015i | \(-0.418017\pi\) |
−0.0416297 | + | 0.999133i | \(0.513255\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.0227935 | − | 0.00343556i | 0.00218322 | − | 0.000329067i | −0.147951 | − | 0.988995i | \(-0.547268\pi\) |
0.150134 | + | 0.988666i | \(0.452030\pi\) | |||||||
\(110\) | 2.97749 | − | 2.76271i | 0.283893 | − | 0.263414i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −18.0060 | − | 11.7146i | −1.70141 | − | 1.10693i | ||||
\(113\) | −7.50707 | + | 9.41357i | −0.706206 | + | 0.885554i | −0.997470 | − | 0.0710887i | \(-0.977353\pi\) |
0.291264 | + | 0.956643i | \(0.405924\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.230812 | + | 0.0711961i | 0.0215233 | + | 0.00663907i | ||||
\(116\) | −15.2684 | + | 26.4456i | −1.41763 | + | 2.45541i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.70464 | − | 11.8498i | −0.248982 | − | 1.09086i | ||||
\(119\) | 2.13376 | − | 1.52333i | 0.195602 | − | 0.139643i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.0448251 | − | 0.0138267i | 0.00407501 | − | 0.00125697i | ||||
\(122\) | −11.4561 | − | 29.1897i | −1.03719 | − | 2.64271i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.56911 | + | 1.10092i | −0.320515 | + | 0.0988659i | ||||
\(125\) | 1.03291 | − | 4.52549i | 0.0923865 | − | 0.404772i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.17823 | + | 9.54347i | 0.193287 | + | 0.846846i | 0.974822 | + | 0.222984i | \(0.0715799\pi\) |
−0.781535 | + | 0.623861i | \(0.785563\pi\) | |||||||
\(128\) | −3.79505 | − | 6.57323i | −0.335439 | − | 0.580997i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.18767 | + | 1.60018i | 0.454989 | + | 0.140345i | ||||
\(131\) | 0.679017 | + | 9.06086i | 0.0593260 | + | 0.791651i | 0.944943 | + | 0.327235i | \(0.106117\pi\) |
−0.885617 | + | 0.464416i | \(0.846264\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.251298 | + | 0.0323415i | 0.0217903 | + | 0.00280436i | ||||
\(134\) | −10.3626 | − | 12.9943i | −0.895193 | − | 1.12254i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6.61144 | + | 0.996515i | −0.566927 | + | 0.0854504i | ||||
\(137\) | −8.26875 | + | 5.63754i | −0.706447 | + | 0.481647i | −0.862471 | − | 0.506106i | \(-0.831084\pi\) |
0.156025 | + | 0.987753i | \(0.450132\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.3259 | + | 6.41742i | −1.13029 | + | 0.544319i | −0.903057 | − | 0.429522i | \(-0.858682\pi\) |
−0.227233 | + | 0.973840i | \(0.572968\pi\) | |||||||
\(140\) | 5.28551 | + | 2.40611i | 0.446707 | + | 0.203354i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −13.9134 | − | 9.48600i | −1.16759 | − | 0.796048i | ||||
\(143\) | 10.8235 | + | 10.0427i | 0.905107 | + | 0.839817i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.14627 | − | 2.92065i | 0.0951925 | − | 0.242546i | ||||
\(146\) | 15.9316 | 1.31851 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 14.6300 | 1.20258 | ||||||||
\(149\) | −4.16942 | + | 10.6235i | −0.341572 | + | 0.870312i | 0.652114 | + | 0.758121i | \(0.273882\pi\) |
−0.993687 | + | 0.112191i | \(0.964213\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.34630 | + | 6.81637i | 0.597833 | + | 0.554708i | 0.919972 | − | 0.391984i | \(-0.128211\pi\) |
−0.322139 | + | 0.946692i | \(0.604402\pi\) | |||||||
\(152\) | −0.533886 | − | 0.363998i | −0.0433039 | − | 0.0295241i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 14.4879 | + | 17.3831i | 1.16747 | + | 1.40077i | ||||
\(155\) | 0.345757 | − | 0.166508i | 0.0277719 | − | 0.0133742i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 18.2173 | − | 12.4204i | 1.45390 | − | 0.991253i | 0.459212 | − | 0.888327i | \(-0.348132\pi\) |
0.994689 | − | 0.102926i | \(-0.0328205\pi\) | |||||||
\(158\) | 12.6952 | − | 1.91350i | 1.00998 | − | 0.152230i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.19068 | − | 2.74702i | −0.173188 | − | 0.217171i | ||||
\(161\) | −0.464458 | + | 1.26299i | −0.0366044 | + | 0.0995379i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.702806 | + | 9.37829i | 0.0550480 | + | 0.734565i | 0.954627 | + | 0.297806i | \(0.0962547\pi\) |
−0.899579 | + | 0.436759i | \(0.856126\pi\) | |||||||
\(164\) | 38.8626 | + | 11.9875i | 3.03466 | + | 0.936070i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 22.3999 | + | 38.7978i | 1.73857 | + | 3.01129i | ||||
\(167\) | −2.15813 | − | 9.45539i | −0.167001 | − | 0.731680i | −0.987185 | − | 0.159580i | \(-0.948986\pi\) |
0.820184 | − | 0.572100i | \(-0.193871\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.49857 | + | 6.56565i | −0.115274 | + | 0.505050i | ||||
\(170\) | 1.15717 | − | 0.356940i | 0.0887510 | − | 0.0273761i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −12.3783 | − | 31.5395i | −0.943839 | − | 2.40486i | ||||
\(173\) | −11.0232 | + | 3.40020i | −0.838077 | + | 0.258513i | −0.683941 | − | 0.729537i | \(-0.739736\pi\) |
−0.154136 | + | 0.988050i | \(0.549259\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.1485 | + | 3.46172i | 0.918339 | + | 0.261682i | ||||
\(176\) | −6.00487 | − | 26.3091i | −0.452634 | − | 1.98312i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 12.8682 | − | 22.2884i | 0.964514 | − | 1.67059i | ||||
\(179\) | 18.6087 | + | 5.74001i | 1.39088 | + | 0.429028i | 0.897587 | − | 0.440837i | \(-0.145318\pi\) |
0.493289 | + | 0.869866i | \(0.335795\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.25983 | − | 9.10354i | 0.539619 | − | 0.676661i | −0.435026 | − | 0.900418i | \(-0.643261\pi\) |
0.974645 | + | 0.223757i | \(0.0718323\pi\) | |||||||
\(182\) | −10.4390 | + | 28.3867i | −0.773792 | + | 2.10416i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.51574 | − | 2.33426i | 0.185463 | − | 0.172084i | ||||
\(185\) | −1.48639 | + | 0.224037i | −0.109281 | + | 0.0164715i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.25672 | + | 0.490872i | 0.238155 | + | 0.0358961i | ||||
\(188\) | −5.05845 | + | 2.43602i | −0.368926 | + | 0.177665i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.105442 | + | 0.0507781i | 0.00764955 | + | 0.00368383i | ||||
\(191\) | −17.6671 | − | 12.0453i | −1.27835 | − | 0.871564i | −0.282210 | − | 0.959353i | \(-0.591068\pi\) |
−0.996139 | + | 0.0877886i | \(0.972020\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.60993 | + | 21.4831i | −0.115886 | + | 1.54639i | 0.571810 | + | 0.820386i | \(0.306242\pi\) |
−0.687695 | + | 0.726000i | \(0.741377\pi\) | |||||||
\(194\) | −4.18089 | + | 10.6527i | −0.300171 | + | 0.764822i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −14.9517 | + | 28.6923i | −1.06798 | + | 2.04945i | ||||
\(197\) | −0.704181 | −0.0501708 | −0.0250854 | − | 0.999685i | \(-0.507986\pi\) | ||||
−0.0250854 | + | 0.999685i | \(0.507986\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.346169 | − | 4.61931i | 0.0245393 | − | 0.327454i | −0.971402 | − | 0.237443i | \(-0.923691\pi\) |
0.995941 | − | 0.0900110i | \(-0.0286902\pi\) | |||||||
\(200\) | −23.6154 | − | 21.9119i | −1.66986 | − | 1.54941i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −20.9293 | − | 10.0790i | −1.47258 | − | 0.709158i | ||||
\(203\) | 15.9090 | + | 7.24222i | 1.11659 | + | 0.508304i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.13196 | − | 0.622793i | −0.288589 | − | 0.0434977i | ||||
\(206\) | 40.4787 | − | 27.5979i | 2.82028 | − | 1.92284i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 26.4399 | − | 24.5327i | 1.83328 | − | 1.70103i | ||||
\(209\) | 0.198453 | + | 0.248852i | 0.0137273 | + | 0.0172135i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.70611 | + | 5.90127i | −0.323982 | + | 0.406260i | −0.916973 | − | 0.398948i | \(-0.869375\pi\) |
0.592992 | + | 0.805209i | \(0.297947\pi\) | |||||||
\(212\) | −0.157007 | − | 2.09511i | −0.0107833 | − | 0.143893i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.86813 | + | 4.96774i | −0.196061 | + | 0.339588i | ||||
\(215\) | 1.74060 | + | 3.01481i | 0.118708 | + | 0.205608i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.823919 | + | 1.97288i | 0.0559313 | + | 0.133928i | ||||
\(218\) | −0.0131994 | + | 0.0578305i | −0.000893978 | + | 0.00391677i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.66534 | + | 6.79117i | 0.179697 | + | 0.457860i | ||||
\(221\) | 1.60824 | + | 4.09772i | 0.108182 | + | 0.275643i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.86902 | − | 21.3326i | 0.326054 | − | 1.42854i | −0.500529 | − | 0.865720i | \(-0.666861\pi\) |
0.826582 | − | 0.562816i | \(-0.190282\pi\) | |||||||
\(224\) | 15.9315 | − | 11.3737i | 1.06447 | − | 0.759940i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.4920 | − | 26.8329i | −1.03051 | − | 1.78490i | ||||
\(227\) | 0.0931095 | − | 0.161270i | 0.00617989 | − | 0.0107039i | −0.862919 | − | 0.505342i | \(-0.831366\pi\) |
0.869099 | + | 0.494639i | \(0.164700\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.07215 | + | 14.3069i | 0.0708497 | + | 0.945424i | 0.913467 | + | 0.406912i | \(0.133394\pi\) |
−0.842618 | + | 0.538512i | \(0.818987\pi\) | |||||||
\(230\) | −0.387543 | + | 0.485964i | −0.0255538 | + | 0.0320435i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −27.7942 | − | 34.8528i | −1.82478 | − | 2.28820i | ||||
\(233\) | 10.4779 | − | 9.72211i | 0.686433 | − | 0.636917i | −0.257799 | − | 0.966199i | \(-0.582997\pi\) |
0.944232 | + | 0.329282i | \(0.106807\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.476627 | − | 0.324959i | 0.0310917 | − | 0.0211980i | ||||
\(236\) | 21.5873 | + | 3.25376i | 1.40521 | + | 0.211802i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.64300 | + | 6.54346i | 0.106500 | + | 0.424150i | ||||
\(239\) | 23.7061 | + | 11.4162i | 1.53342 | + | 0.738455i | 0.994582 | − | 0.103955i | \(-0.0331499\pi\) |
0.538836 | + | 0.842411i | \(0.318864\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.94423 | + | 8.29903i | 0.576149 | + | 0.534588i | 0.913525 | − | 0.406782i | \(-0.133349\pi\) |
−0.337377 | + | 0.941370i | \(0.609540\pi\) | |||||||
\(242\) | −0.00902088 | + | 0.120375i | −0.000579884 | + | 0.00773802i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 56.3218 | 3.60563 | ||||||||
\(245\) | 1.07969 | − | 3.14406i | 0.0689787 | − | 0.200867i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.155424 | + | 0.396015i | −0.00988941 | + | 0.0251978i | ||||
\(248\) | 0.407468 | − | 5.43728i | 0.0258742 | − | 0.345267i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.86948 | + | 6.72890i | 0.624201 | + | 0.425573i | ||||
\(251\) | −22.4122 | − | 10.7931i | −1.41464 | − | 0.681256i | −0.438569 | − | 0.898697i | \(-0.644515\pi\) |
−0.976073 | + | 0.217441i | \(0.930229\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.52309 | + | 0.733481i | −0.0957558 | + | 0.0461136i | ||||
\(254\) | −24.9087 | − | 3.75439i | −1.56291 | − | 0.235571i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 24.8525 | − | 3.74592i | 1.55328 | − | 0.234120i | ||||
\(257\) | 3.22480 | − | 2.99217i | 0.201157 | − | 0.186647i | −0.573161 | − | 0.819442i | \(-0.694283\pi\) |
0.774319 | + | 0.632796i | \(0.218093\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.806098 | − | 8.33563i | −0.0500885 | − | 0.517951i | ||||
\(260\) | −6.07961 | + | 7.62359i | −0.377041 | + | 0.472795i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −22.3432 | − | 6.89196i | −1.38037 | − | 0.425787i | ||||
\(263\) | −3.40636 | + | 5.89999i | −0.210045 | + | 0.363809i | −0.951728 | − | 0.306941i | \(-0.900694\pi\) |
0.741683 | + | 0.670750i | \(0.234028\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.0480352 | + | 0.210456i | 0.00295078 | + | 0.0129282i | ||||
\(266\) | −0.313729 | + | 0.571566i | −0.0192360 | + | 0.0350450i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 28.5260 | − | 8.79912i | 1.74251 | − | 0.537492i | ||||
\(269\) | −9.00683 | − | 22.9490i | −0.549156 | − | 1.39923i | −0.888636 | − | 0.458613i | \(-0.848346\pi\) |
0.339480 | − | 0.940613i | \(-0.389749\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.50940 | + | 0.774046i | −0.152435 | + | 0.0470200i | −0.370034 | − | 0.929018i | \(-0.620654\pi\) |
0.217599 | + | 0.976038i | \(0.430178\pi\) | |||||||
\(272\) | 1.79028 | − | 7.84375i | 0.108552 | − | 0.475597i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.73061 | − | 25.1074i | −0.346199 | − | 1.51680i | ||||
\(275\) | 7.93443 | + | 13.7428i | 0.478464 | + | 0.828724i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 15.1913 | + | 4.68590i | 0.912757 | + | 0.281548i | 0.715344 | − | 0.698772i | \(-0.246270\pi\) |
0.197413 | + | 0.980320i | \(0.436746\pi\) | |||||||
\(278\) | −2.84432 | − | 37.9548i | −0.170591 | − | 2.27638i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.08865 | + | 5.89930i | −0.363867 | + | 0.352550i | ||||
\(281\) | −9.15377 | − | 11.4785i | −0.546068 | − | 0.684748i | 0.429846 | − | 0.902902i | \(-0.358568\pi\) |
−0.975914 | + | 0.218154i | \(0.929996\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.312407 | + | 0.0470878i | −0.0185707 | + | 0.00279908i | −0.158321 | − | 0.987388i | \(-0.550608\pi\) |
0.139750 | + | 0.990187i | \(0.455370\pi\) | |||||||
\(284\) | 24.9903 | − | 17.0381i | 1.48290 | − | 1.01103i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −34.2325 | + | 16.4855i | −2.02421 | + | 0.974809i | ||||
\(287\) | 4.68876 | − | 22.8030i | 0.276769 | − | 1.34602i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.2348 | − | 9.02330i | −0.778515 | − | 0.530783i | ||||
\(290\) | 5.91860 | + | 5.49166i | 0.347552 | + | 0.322481i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.4543 | + | 26.6371i | −0.611792 | + | 1.55882i | ||||
\(293\) | 13.4547 | 0.786029 | 0.393015 | − | 0.919532i | \(-0.371432\pi\) | ||||
0.393015 | + | 0.919532i | \(0.371432\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.24307 | −0.130596 | ||||||||
\(296\) | −7.80270 | + | 19.8809i | −0.453523 | + | 1.15556i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −21.5282 | − | 19.9753i | −1.24710 | − | 1.15714i | ||||
\(299\) | −1.86687 | − | 1.27281i | −0.107964 | − | 0.0736085i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −17.2880 | + | 8.79050i | −0.996462 | + | 0.506676i | ||||
\(302\) | −23.2348 | + | 11.1893i | −1.33701 | + | 0.643872i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.642430 | − | 0.438001i | 0.0368459 | − | 0.0251211i | ||||
\(305\) | −5.72221 | + | 0.862485i | −0.327653 | + | 0.0493858i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.4060 | + | 14.3026i | 0.650972 | + | 0.816293i | 0.992327 | − | 0.123641i | \(-0.0394573\pi\) |
−0.341355 | + | 0.939934i | \(0.610886\pi\) | |||||||
\(308\) | −38.5710 | + | 12.8165i | −2.19779 | + | 0.730287i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.0737994 | + | 0.984785i | 0.00419152 | + | 0.0559320i | ||||
\(311\) | 7.19576 | + | 2.21960i | 0.408034 | + | 0.125862i | 0.491976 | − | 0.870609i | \(-0.336275\pi\) |
−0.0839420 | + | 0.996471i | \(0.526751\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.28638 | − | 16.0845i | −0.524897 | − | 0.909149i | −0.999580 | − | 0.0289916i | \(-0.990770\pi\) |
0.474682 | − | 0.880157i | \(-0.342563\pi\) | |||||||
\(314\) | 12.6254 | + | 55.3156i | 0.712494 | + | 3.12164i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.13130 | + | 22.4817i | −0.288658 | + | 1.26469i | ||||
\(317\) | 14.7822 | − | 4.55971i | 0.830252 | − | 0.256099i | 0.149638 | − | 0.988741i | \(-0.452189\pi\) |
0.680614 | + | 0.732642i | \(0.261713\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.02246 | + | 20.4409i | 0.449172 | + | 1.14447i | ||||
\(320\) | 1.27095 | − | 0.392035i | 0.0710481 | − | 0.0219154i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.58878 | − | 2.29998i | −0.144267 | − | 0.128173i | ||||
\(323\) | 0.0211163 | + | 0.0925164i | 0.00117494 | + | 0.00514775i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −10.6049 | + | 18.3683i | −0.588257 | + | 1.01889i | ||||
\(326\) | −23.1260 | − | 7.13341i | −1.28083 | − | 0.395083i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −37.0169 | + | 46.4177i | −2.04391 | + | 2.56299i | ||||
\(329\) | 1.66667 | + | 2.74789i | 0.0918865 | + | 0.151496i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.37900 | − | 4.06312i | 0.240692 | − | 0.223329i | −0.550598 | − | 0.834770i | \(-0.685600\pi\) |
0.791290 | + | 0.611441i | \(0.209410\pi\) | |||||||
\(332\) | −79.5675 | + | 11.9929i | −4.36684 | + | 0.658195i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 24.6788 | + | 3.71974i | 1.35037 | + | 0.203535i | ||||
\(335\) | −2.76346 | + | 1.33081i | −0.150984 | + | 0.0727100i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.43617 | − | 4.06265i | −0.459548 | − | 0.221306i | 0.189763 | − | 0.981830i | \(-0.439228\pi\) |
−0.649310 | + | 0.760523i | \(0.724942\pi\) | |||||||
\(338\) | −14.3188 | − | 9.76239i | −0.778840 | − | 0.531004i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.162543 | + | 2.16898i | −0.00881512 | + | 0.117630i | ||||
\(341\) | −0.981253 | + | 2.50019i | −0.0531378 | + | 0.135393i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.1716 | + | 6.93798i | 0.927180 | + | 0.374616i | ||||
\(344\) | 49.4613 | 2.66677 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.21837 | − | 29.6021i | 0.119261 | − | 1.59142i | ||||
\(347\) | 13.3053 | + | 12.3455i | 0.714266 | + | 0.662742i | 0.951126 | − | 0.308802i | \(-0.0999279\pi\) |
−0.236860 | + | 0.971544i | \(0.576118\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −13.7787 | − | 6.63546i | −0.737556 | − | 0.355188i | 0.0270952 | − | 0.999633i | \(-0.491374\pi\) |
−0.764651 | + | 0.644445i | \(0.777089\pi\) | |||||||
\(350\) | −19.7137 | + | 25.8465i | −1.05374 | + | 1.38156i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 24.3160 | + | 3.66505i | 1.29605 | + | 0.195348i | ||||
\(353\) | 4.80914 | − | 3.27881i | 0.255965 | − | 0.174514i | −0.428539 | − | 0.903523i | \(-0.640971\pi\) |
0.684503 | + | 0.729010i | \(0.260019\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.27807 | + | 2.11374i | −0.120907 | + | 0.112185i | ||||
\(356\) | 28.8214 | + | 36.1409i | 1.52753 | + | 1.91547i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −31.2447 | + | 39.1796i | −1.65133 | + | 2.07071i | ||||
\(359\) | 0.236123 | + | 3.15085i | 0.0124621 | + | 0.166295i | 0.999962 | + | 0.00867776i | \(0.00276225\pi\) |
−0.987500 | + | 0.157617i | \(0.949619\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.49541 | − | 16.4465i | 0.499759 | − | 0.865607i | ||||
\(362\) | 14.9818 | + | 25.9492i | 0.787424 | + | 1.36386i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −40.6117 | − | 36.0811i | −2.12863 | − | 1.89116i | ||||
\(365\) | 0.654234 | − | 2.86639i | 0.0342442 | − | 0.150033i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.73318 | − | 19.7038i | −0.403669 | − | 1.02853i | −0.977758 | − | 0.209739i | \(-0.932739\pi\) |
0.574089 | − | 0.818793i | \(-0.305357\pi\) | |||||||
\(368\) | 1.50871 | + | 3.84413i | 0.0786470 | + | 0.200389i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.860750 | − | 3.77119i | 0.0447483 | − | 0.196055i | ||||
\(371\) | −1.18507 | + | 0.204895i | −0.0615255 | + | 0.0106376i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.5570 | − | 23.4814i | −0.701956 | − | 1.21582i | −0.967779 | − | 0.251801i | \(-0.918977\pi\) |
0.265823 | − | 0.964022i | \(-0.414356\pi\) | |||||||
\(374\) | −4.23765 | + | 7.33982i | −0.219124 | + | 0.379533i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.612499 | − | 8.17323i | −0.0315872 | − | 0.421502i | ||||
\(377\) | −18.2992 | + | 22.9464i | −0.942455 | + | 1.18180i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.4532 | + | 19.3777i | 0.793777 | + | 0.995365i | 0.999858 | + | 0.0168304i | \(0.00535754\pi\) |
−0.206081 | + | 0.978535i | \(0.566071\pi\) | |||||||
\(380\) | −0.154090 | + | 0.142975i | −0.00790467 | + | 0.00733446i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 45.4634 | − | 30.9964i | 2.32611 | − | 1.58592i | ||||
\(383\) | −5.46679 | − | 0.823986i | −0.279340 | − | 0.0421037i | 0.00787813 | − | 0.999969i | \(-0.497492\pi\) |
−0.287218 | + | 0.957865i | \(0.592730\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.72250 | − | 1.89280i | 0.189716 | − | 0.0964658i | ||||
\(386\) | −49.9480 | − | 24.0537i | −2.54229 | − | 1.22430i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −15.0676 | − | 13.9807i | −0.764940 | − | 0.709760i | ||||
\(389\) | 1.52341 | − | 20.3284i | 0.0772398 | − | 1.03069i | −0.815097 | − | 0.579324i | \(-0.803317\pi\) |
0.892337 | − | 0.451369i | \(-0.149064\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.504004 | −0.0254886 | ||||||||
\(392\) | −31.0162 | − | 35.6207i | −1.56655 | − | 1.79912i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.662031 | − | 1.68683i | 0.0333526 | − | 0.0849812i | ||||
\(395\) | 0.177059 | − | 2.36269i | 0.00890880 | − | 0.118880i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.17037 | − | 4.88868i | −0.359871 | − | 0.245356i | 0.369864 | − | 0.929086i | \(-0.379404\pi\) |
−0.729735 | + | 0.683730i | \(0.760357\pi\) | |||||||
\(398\) | 10.7399 | + | 5.17204i | 0.538340 | + | 0.259251i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 34.9259 | − | 16.8194i | 1.74630 | − | 0.840972i | ||||
\(401\) | 21.7897 | + | 3.28428i | 1.08813 | + | 0.164009i | 0.668518 | − | 0.743696i | \(-0.266929\pi\) |
0.419610 | + | 0.907705i | \(0.362167\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.54974 | + | 0.535038i | −0.176825 | + | 0.0266521i | ||||
\(404\) | 30.5857 | − | 28.3793i | 1.52169 | − | 1.41193i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −32.3051 | + | 31.3004i | −1.60327 | + | 1.55341i | ||||
\(407\) | 6.55934 | − | 8.22516i | 0.325135 | − | 0.407706i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.0431 | + | 3.71479i | 0.595491 | + | 0.183685i | 0.577827 | − | 0.816159i | \(-0.303901\pi\) |
0.0176638 | + | 0.999844i | \(0.494377\pi\) | |||||||
\(410\) | 5.37651 | − | 9.31238i | 0.265527 | − | 0.459906i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 19.5808 | + | 85.7890i | 0.964675 | + | 4.22652i | ||||
\(413\) | 0.664435 | − | 12.4789i | 0.0326947 | − | 0.614047i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.90030 | − | 2.43692i | 0.387810 | − | 0.119624i | ||||
\(416\) | 12.0077 | + | 30.5952i | 0.588727 | + | 1.50005i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.782686 | + | 0.241427i | −0.0382824 | + | 0.0118086i | ||||
\(419\) | −1.64545 | + | 7.20917i | −0.0803853 | + | 0.352191i | −0.999085 | − | 0.0427655i | \(-0.986383\pi\) |
0.918700 | + | 0.394956i | \(0.129240\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.62826 | − | 24.6590i | −0.274305 | − | 1.20181i | −0.904876 | − | 0.425676i | \(-0.860036\pi\) |
0.630571 | − | 0.776131i | \(-0.282821\pi\) | |||||||
\(422\) | −9.71177 | − | 16.8213i | −0.472762 | − | 0.818847i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.93082 | + | 0.904037i | 0.142333 | + | 0.0439039i | ||||
\(425\) | 0.353557 | + | 4.71789i | 0.0171500 | + | 0.228851i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.10327 | − | 32.0901i | −0.150178 | − | 1.55295i | ||||
\(428\) | −6.42385 | − | 8.05526i | −0.310509 | − | 0.389366i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.85823 | + | 1.33516i | −0.427182 | + | 0.0643873i | ||||
\(431\) | 9.28854 | − | 6.33282i | 0.447413 | − | 0.305041i | −0.318573 | − | 0.947898i | \(-0.603204\pi\) |
0.765986 | + | 0.642857i | \(0.222251\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 19.5411 | − | 9.41049i | 0.939085 | − | 0.452239i | 0.0992386 | − | 0.995064i | \(-0.468359\pi\) |
0.839846 | + | 0.542824i | \(0.182645\pi\) | |||||||
\(434\) | −5.50054 | + | 0.118860i | −0.264035 | + | 0.00570548i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.0880294 | − | 0.0600174i | −0.00421584 | − | 0.00287431i | ||||
\(437\) | −0.0357057 | − | 0.0331300i | −0.00170804 | − | 0.00158483i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.8434 | + | 30.1765i | −0.565256 | + | 1.44025i | 0.307243 | + | 0.951631i | \(0.400594\pi\) |
−0.872498 | + | 0.488617i | \(0.837502\pi\) | |||||||
\(440\) | −10.6501 | −0.507726 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −11.3279 | −0.538811 | ||||||||
\(443\) | −3.87445 | + | 9.87193i | −0.184081 | + | 0.469030i | −0.992889 | − | 0.119042i | \(-0.962018\pi\) |
0.808809 | + | 0.588072i | \(0.200113\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.48166 | − | 3.23051i | −0.165047 | − | 0.153141i | ||||
\(446\) | 46.5235 | + | 31.7192i | 2.20295 | + | 1.50195i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.80454 | + | 7.18682i | 0.0852567 | + | 0.339545i | ||||
\(449\) | −8.79991 | + | 4.23781i | −0.415293 | + | 0.199995i | −0.629850 | − | 0.776717i | \(-0.716884\pi\) |
0.214557 | + | 0.976712i | \(0.431169\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 24.1635 | − | 16.4744i | 1.13782 | − | 0.775750i | ||||
\(452\) | 55.0297 | − | 8.29439i | 2.58838 | − | 0.390135i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.298778 | + | 0.374656i | 0.0140224 | + | 0.0175835i | ||||
\(455\) | 4.67861 | + | 3.04388i | 0.219337 | + | 0.142699i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.680971 | + | 9.08693i | 0.0318545 | + | 0.425069i | 0.990219 | + | 0.139521i | \(0.0445564\pi\) |
−0.958365 | + | 0.285547i | \(0.907825\pi\) | |||||||
\(458\) | −35.2793 | − | 10.8822i | −1.64849 | − | 0.508493i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.558211 | − | 0.966850i | −0.0260267 | − | 0.0450796i | ||||
\(461\) | −7.27998 | − | 31.8957i | −0.339063 | − | 1.48553i | −0.801025 | − | 0.598631i | \(-0.795712\pi\) |
0.461963 | − | 0.886899i | \(-0.347145\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.30364 | − | 14.4742i | 0.153533 | − | 0.672672i | −0.838309 | − | 0.545196i | \(-0.816455\pi\) |
0.991842 | − | 0.127476i | \(-0.0406877\pi\) | |||||||
\(464\) | 51.2584 | − | 15.8111i | 2.37961 | − | 0.734013i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 13.4380 | + | 34.2396i | 0.622505 | + | 1.58612i | ||||
\(467\) | −14.1464 | + | 4.36358i | −0.654616 | + | 0.201922i | −0.604233 | − | 0.796808i | \(-0.706520\pi\) |
−0.0503832 | + | 0.998730i | \(0.516044\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.58516 | − | 15.7682i | −0.304074 | − | 0.728110i | ||||
\(470\) | 0.330324 | + | 1.44724i | 0.0152367 | + | 0.0667564i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −15.9349 | + | 27.6000i | −0.733461 | + | 1.27039i | ||||
\(473\) | −23.2817 | − | 7.18144i | −1.07049 | − | 0.330203i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.285077 | + | 0.357475i | −0.0130802 | + | 0.0164021i | ||||
\(476\) | −12.0186 | − | 1.54677i | −0.550872 | − | 0.0708960i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −49.6341 | + | 46.0537i | −2.27021 | + | 2.10645i | ||||
\(479\) | −2.87255 | + | 0.432967i | −0.131250 | + | 0.0197828i | −0.214339 | − | 0.976759i | \(-0.568760\pi\) |
0.0830886 | + | 0.996542i | \(0.473522\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 13.9042 | + | 2.09572i | 0.633977 | + | 0.0955566i | ||||
\(482\) | −28.2888 | + | 13.6232i | −1.28852 | + | 0.620518i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.195344 | − | 0.0940729i | −0.00887929 | − | 0.00427604i | ||||
\(485\) | 1.74494 | + | 1.18968i | 0.0792335 | + | 0.0540205i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.849960 | − | 11.3419i | 0.0385154 | − | 0.513952i | −0.944266 | − | 0.329182i | \(-0.893227\pi\) |
0.982782 | − | 0.184770i | \(-0.0591539\pi\) | |||||||
\(488\) | −30.0384 | + | 76.5366i | −1.35977 | + | 3.46465i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.51637 | + | 5.54220i | 0.294379 | + | 0.250371i | ||||
\(491\) | 28.2106 | 1.27313 | 0.636563 | − | 0.771224i | \(-0.280355\pi\) | ||||
0.636563 | + | 0.771224i | \(0.280355\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.489241 | + | 6.52847i | −0.0220343 | + | 0.294027i | ||||
\(494\) | −0.802511 | − | 0.744622i | −0.0361067 | − | 0.0335021i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.91132 | + | 2.84674i | 0.265426 | + | 0.127822i | ||||
\(497\) | −11.0846 | − | 13.2998i | −0.497213 | − | 0.596576i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.76296 | − | 0.416449i | −0.123687 | − | 0.0186428i | 0.0869070 | − | 0.996216i | \(-0.472302\pi\) |
−0.210594 | + | 0.977574i | \(0.567540\pi\) | |||||||
\(500\) | −17.7269 | + | 12.0860i | −0.792770 | + | 0.540501i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 46.9250 | − | 43.5401i | 2.09437 | − | 1.94329i | ||||
\(503\) | −4.30121 | − | 5.39354i | −0.191781 | − | 0.240486i | 0.676639 | − | 0.736315i | \(-0.263436\pi\) |
−0.868420 | + | 0.495829i | \(0.834864\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.67287 | + | 3.35167i | −0.118941 | + | 0.149148i | ||||
\(506\) | −0.325093 | − | 4.33806i | −0.0144521 | − | 0.192850i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 22.6223 | − | 39.1830i | 1.00370 | − | 1.73847i | ||||
\(509\) | −13.9711 | − | 24.1987i | −0.619260 | − | 1.07259i | −0.989621 | − | 0.143702i | \(-0.954099\pi\) |
0.370361 | − | 0.928888i | \(-0.379234\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 15.7529 | + | 4.48879i | 0.696865 | + | 0.198572i | ||||
\(512\) | −11.0139 | + | 48.2550i | −0.486750 | + | 2.13259i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4.13583 | + | 10.5379i | 0.182423 | + | 0.464807i | ||||
\(515\) | −3.30311 | − | 8.41618i | −0.145552 | − | 0.370861i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.898391 | + | 3.93611i | −0.0395112 | + | 0.173110i | ||||
\(518\) | 20.7254 | + | 5.90573i | 0.910623 | + | 0.259483i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.11735 | − | 12.3276i | −0.312116 | − | 0.540601i | ||||
\(521\) | −0.538018 | + | 0.931875i | −0.0235710 | + | 0.0408262i | −0.877570 | − | 0.479448i | \(-0.840837\pi\) |
0.853999 | + | 0.520274i | \(0.174170\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.14859 | − | 15.3269i | −0.0502243 | − | 0.670196i | −0.964327 | − | 0.264714i | \(-0.914723\pi\) |
0.914103 | − | 0.405483i | \(-0.132897\pi\) | |||||||
\(524\) | 26.1848 | − | 32.8346i | 1.14389 | − | 1.43439i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −10.9306 | − | 13.7066i | −0.476599 | − | 0.597636i | ||||
\(527\) | −0.586996 | + | 0.544653i | −0.0255700 | + | 0.0237255i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.7897 | + | 12.8106i | −0.816946 | + | 0.556984i | ||||
\(530\) | −0.549296 | − | 0.0827931i | −0.0238599 | − | 0.00359630i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.749773 | − | 0.899608i | −0.0325068 | − | 0.0390029i | ||||
\(533\) | 35.2174 | + | 16.9598i | 1.52544 | + | 0.734611i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.776009 | + | 0.720031i | 0.0335498 | + | 0.0311296i | ||||
\(536\) | −3.25668 | + | 43.4574i | −0.140667 | + | 1.87707i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 63.4409 | 2.73513 | ||||||||
\(539\) | 9.42758 | + | 21.2702i | 0.406075 | + | 0.916170i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.85826 | + | 20.0225i | −0.337853 | + | 0.860836i | 0.656462 | + | 0.754359i | \(0.272052\pi\) |
−0.994315 | + | 0.106477i | \(0.966043\pi\) | |||||||
\(542\) | 0.505007 | − | 6.73884i | 0.0216919 | − | 0.289458i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6.05751 | + | 4.12994i | 0.259713 | + | 0.177070i | ||||
\(545\) | 0.00986274 | + | 0.00474964i | 0.000422473 | + | 0.000203452i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.79194 | − | 0.862953i | 0.0766178 | − | 0.0368972i | −0.395182 | − | 0.918603i | \(-0.629319\pi\) |
0.471800 | + | 0.881705i | \(0.343604\pi\) | |||||||
\(548\) | 45.7393 | + | 6.89410i | 1.95389 | + | 0.294501i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −40.3798 | + | 6.08627i | −1.72180 | + | 0.259519i | ||||
\(551\) | −0.463800 | + | 0.430344i | −0.0197586 | + | 0.0183333i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.0920 | + | 1.68490i | 0.556726 | + | 0.0716494i | ||||
\(554\) | −25.5068 | + | 31.9846i | −1.08368 | + | 1.35889i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 65.3258 | + | 20.1504i | 2.77043 | + | 0.854565i | ||||
\(557\) | −2.53699 | + | 4.39420i | −0.107496 | + | 0.186188i | −0.914755 | − | 0.404009i | \(-0.867617\pi\) |
0.807259 | + | 0.590197i | \(0.200950\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.24625 | − | 31.7479i | −0.306484 | − | 1.34279i | ||||
\(560\) | −3.93129 | − | 9.41351i | −0.166127 | − | 0.397793i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 36.1019 | − | 11.1360i | 1.52287 | − | 0.469743i | ||||
\(563\) | 14.5629 | + | 37.1056i | 0.613752 | + | 1.56382i | 0.811996 | + | 0.583663i | \(0.198381\pi\) |
−0.198244 | + | 0.980153i | \(0.563524\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.46392 | + | 1.68540i | −0.229869 | + | 0.0709051i | ||||
\(566\) | 0.180911 | − | 0.792624i | 0.00760427 | − | 0.0333165i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.82514 | + | 43.0467i | 0.412254 | + | 1.80620i | ||||
\(569\) | −2.46008 | − | 4.26099i | −0.103132 | − | 0.178630i | 0.809841 | − | 0.586649i | \(-0.199553\pi\) |
−0.912974 | + | 0.408019i | \(0.866220\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −30.1825 | − | 9.31008i | −1.26310 | − | 0.389615i | −0.410347 | − | 0.911930i | \(-0.634592\pi\) |
−0.852753 | + | 0.522315i | \(0.825069\pi\) | |||||||
\(572\) | −5.09991 | − | 68.0536i | −0.213238 | − | 2.84546i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 50.2152 | + | 32.6698i | 2.09594 | + | 1.36361i | ||||
\(575\) | −1.51408 | − | 1.89860i | −0.0631417 | − | 0.0791772i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −26.4136 | + | 3.98121i | −1.09961 | + | 0.165740i | −0.673686 | − | 0.739018i | \(-0.735290\pi\) |
−0.425927 | + | 0.904758i | \(0.640052\pi\) | |||||||
\(578\) | 34.0574 | − | 23.2200i | 1.41660 | − | 0.965823i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −13.0657 | + | 6.29210i | −0.542523 | + | 0.261265i | ||||
\(581\) | 11.2172 | + | 44.6738i | 0.465367 | + | 1.85338i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.24829 | − | 0.851069i | −0.0516989 | − | 0.0352477i | ||||
\(584\) | −30.6220 | − | 28.4130i | −1.26715 | − | 1.17574i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.6493 | + | 32.2299i | −0.522538 | + | 1.33141i | ||||
\(587\) | 5.03276 | 0.207724 | 0.103862 | − | 0.994592i | \(-0.466880\pi\) | ||||
0.103862 | + | 0.994592i | \(0.466880\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.0773873 | −0.00318869 | ||||||||
\(590\) | 2.10881 | − | 5.37315i | 0.0868181 | − | 0.221209i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −18.8390 | − | 17.4800i | −0.774278 | − | 0.718425i | ||||
\(593\) | −5.50233 | − | 3.75143i | −0.225954 | − | 0.154053i | 0.445052 | − | 0.895505i | \(-0.353185\pi\) |
−0.671006 | + | 0.741452i | \(0.734138\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.24476 | − | 0.0268978i | 0.0510302 | − | 0.00110270i | ||||
\(596\) | 47.5249 | − | 22.8868i | 1.94669 | − | 0.937479i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.80407 | − | 3.27536i | 0.196453 | − | 0.133940i | ||||
\(599\) | −24.6001 | + | 3.70787i | −1.00513 | + | 0.151500i | −0.630924 | − | 0.775844i | \(-0.717324\pi\) |
−0.374210 | + | 0.927344i | \(0.622086\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.1772 | − | 24.0474i | −0.782252 | − | 0.980914i | −0.999988 | − | 0.00490571i | \(-0.998438\pi\) |
0.217736 | − | 0.976008i | \(-0.430133\pi\) | |||||||
\(602\) | −4.80400 | − | 49.6768i | −0.195796 | − | 2.02467i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.46149 | − | 46.1904i | −0.140846 | − | 1.87946i | ||||
\(605\) | 0.0212873 | + | 0.00656626i | 0.000865452 | + | 0.000266957i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.07018 | − | 5.31770i | −0.124615 | − | 0.215839i | 0.796968 | − | 0.604022i | \(-0.206436\pi\) |
−0.921582 | + | 0.388183i | \(0.873103\pi\) | |||||||
\(608\) | 0.157662 | + | 0.690764i | 0.00639405 | + | 0.0280142i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.31367 | − | 14.5181i | 0.134166 | − | 0.587822i | ||||
\(611\) | −5.15645 | + | 1.59055i | −0.208608 | + | 0.0643469i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.77013 | + | 17.2500i | 0.273443 | + | 0.696721i | 0.999954 | + | 0.00956674i | \(0.00304524\pi\) |
−0.726511 | + | 0.687155i | \(0.758860\pi\) | |||||||
\(614\) | −44.9844 | + | 13.8758i | −1.81542 | + | 0.559984i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.15476 | − | 59.2503i | 0.127109 | − | 2.38726i | ||||
\(617\) | −3.41751 | − | 14.9731i | −0.137584 | − | 0.602794i | −0.995962 | − | 0.0897762i | \(-0.971385\pi\) |
0.858378 | − | 0.513017i | \(-0.171472\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −8.53609 | + | 14.7849i | −0.343094 | + | 0.594257i | −0.985006 | − | 0.172522i | \(-0.944808\pi\) |
0.641911 | + | 0.766779i | \(0.278142\pi\) | |||||||
\(620\) | −1.69496 | − | 0.522825i | −0.0680712 | − | 0.0209972i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.0820 | + | 15.1503i | −0.484443 | + | 0.607472i | ||||
\(623\) | 19.0037 | − | 18.4127i | 0.761368 | − | 0.737689i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −15.8837 | + | 14.7380i | −0.635349 | + | 0.589518i | ||||
\(626\) | 47.2601 | − | 7.12331i | 1.88889 | − | 0.284705i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −100.771 | − | 15.1888i | −4.02119 | − | 0.606098i | ||||
\(629\) | 2.82592 | − | 1.36089i | 0.112677 | − | 0.0542622i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.144508 | − | 0.0695915i | −0.00575278 | − | 0.00277039i | 0.431005 | − | 0.902349i | \(-0.358159\pi\) |
−0.436758 | + | 0.899579i | \(0.643873\pi\) | |||||||
\(632\) | −27.8140 | − | 18.9633i | −1.10638 | − | 0.754319i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.97486 | + | 39.6968i | −0.118147 | + | 1.57656i | ||||
\(635\) | −1.69837 | + | 4.32737i | −0.0673976 | + | 0.171726i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −18.3200 | + | 25.1270i | −0.725865 | + | 0.995569i | ||||
\(638\) | −56.5074 | −2.23715 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.269366 | − | 3.59444i | 0.0106476 | − | 0.142083i | ||||
\(641\) | −20.0051 | − | 18.5620i | −0.790153 | − | 0.733155i | 0.177860 | − | 0.984056i | \(-0.443083\pi\) |
−0.968013 | + | 0.250901i | \(0.919273\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −19.2156 | − | 9.25377i | −0.757791 | − | 0.364933i | 0.0147555 | − | 0.999891i | \(-0.495303\pi\) |
−0.772546 | + | 0.634958i | \(0.781017\pi\) | |||||||
\(644\) | 5.54426 | − | 2.81912i | 0.218474 | − | 0.111089i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.241471 | − | 0.0363958i | −0.00950053 | − | 0.00143198i | ||||
\(647\) | 22.2387 | − | 15.1621i | 0.874293 | − | 0.596083i | −0.0408713 | − | 0.999164i | \(-0.513013\pi\) |
0.915164 | + | 0.403082i | \(0.132061\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 11.5079 | − | 10.6778i | 0.451726 | − | 0.419141i | ||||
\(650\) | −34.0301 | − | 42.6724i | −1.33477 | − | 1.67375i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 27.1021 | − | 33.9850i | 1.06140 | − | 1.33095i | ||||
\(653\) | −0.572776 | − | 7.64317i | −0.0224145 | − | 0.299100i | −0.997133 | − | 0.0756652i | \(-0.975892\pi\) |
0.974719 | − | 0.223435i | \(-0.0717271\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.15752 | + | 3.73693i | −0.0843013 | + | 0.146014i | ||||
\(656\) | −35.7205 | − | 61.8697i | −1.39465 | − | 2.41561i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −8.14935 | + | 1.40900i | −0.317695 | + | 0.0549287i | ||||
\(659\) | −3.81431 | + | 16.7116i | −0.148584 | + | 0.650991i | 0.844695 | + | 0.535248i | \(0.179782\pi\) |
−0.993279 | + | 0.115743i | \(0.963075\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.799902 | − | 2.03812i | −0.0311126 | − | 0.0792736i | 0.914473 | − | 0.404646i | \(-0.132605\pi\) |
−0.945586 | + | 0.325373i | \(0.894510\pi\) | |||||||
\(662\) | 5.61610 | + | 14.3096i | 0.218276 | + | 0.556158i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 26.1389 | − | 114.522i | 1.01438 | − | 4.44431i | ||||
\(665\) | 0.0899520 | + | 0.0799172i | 0.00348819 | + | 0.00309905i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.68017 | − | 2.91014i | −0.0650566 | − | 0.112681i | ||||
\(668\) | −22.4136 | + | 38.8214i | −0.867206 | + | 1.50205i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.589841 | − | 7.87088i | −0.0227875 | − | 0.304078i | ||||
\(671\) | 25.2518 | − | 31.6648i | 0.974835 | − | 1.22240i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 18.3387 | + | 22.9960i | 0.706905 | + | 0.886430i | 0.997518 | − | 0.0704102i | \(-0.0224308\pi\) |
−0.290614 | + | 0.956841i | \(0.593859\pi\) | |||||||
\(674\) | 17.6631 | − | 16.3889i | 0.680356 | − | 0.631278i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 25.7184 | − | 17.5345i | 0.989170 | − | 0.674405i | ||||
\(677\) | −28.5543 | − | 4.30387i | −1.09743 | − | 0.165411i | −0.424727 | − | 0.905322i | \(-0.639630\pi\) |
−0.672706 | + | 0.739910i | \(0.734868\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.13545 | + | 9.35525i | −0.273833 | + | 0.359022i | ||||
\(680\) | −2.86077 | − | 1.37768i | −0.109706 | − | 0.0528315i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.06656 | − | 4.70108i | −0.194009 | − | 0.180014i | ||||
\(683\) | −2.98912 | + | 39.8871i | −0.114376 | + | 1.52624i | 0.584735 | + | 0.811224i | \(0.301198\pi\) |
−0.699111 | + | 0.715013i | \(0.746421\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.75262 | −0.181588 | ||||||||
\(686\) | −32.7634 | + | 34.6110i | −1.25091 | + | 1.32145i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −21.7441 | + | 55.4030i | −0.828985 | + | 2.11222i | ||||
\(689\) | 0.150903 | − | 2.01366i | 0.00574895 | − | 0.0767144i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 30.1322 | + | 20.5438i | 1.14628 | + | 0.781523i | 0.978894 | − | 0.204368i | \(-0.0655138\pi\) |
0.167390 | + | 0.985891i | \(0.446466\pi\) | |||||||
\(692\) | 48.0382 | + | 23.1340i | 1.82614 | + | 0.879422i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −42.0819 | + | 20.2656i | −1.59741 | + | 0.769271i | ||||
\(695\) | −6.94558 | − | 1.04688i | −0.263461 | − | 0.0397104i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.62175 | − | 1.29952i | 0.326572 | − | 0.0492228i | ||||
\(698\) | 28.8488 | − | 26.7678i | 1.09194 | − | 1.01318i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −30.2785 | − | 49.9212i | −1.14442 | − | 1.88685i | ||||
\(701\) | 26.0103 | − | 32.6159i | 0.982396 | − | 1.23189i | 0.00966455 | − | 0.999953i | \(-0.496924\pi\) |
0.972732 | − | 0.231933i | \(-0.0745049\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.289656 | + | 0.0893470i | 0.0109246 | + | 0.00336978i | ||||
\(704\) | −4.65430 | + | 8.06149i | −0.175416 | + | 0.303829i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.33295 | + | 14.6026i | 0.125437 | + | 0.549576i | ||||
\(707\) | −17.8547 | − | 15.8629i | −0.671496 | − | 0.596585i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.12441 | + | 0.346833i | −0.0422279 | + | 0.0130256i | −0.315797 | − | 0.948827i | \(-0.602272\pi\) |
0.273569 | + | 0.961852i | \(0.411796\pi\) | |||||||
\(710\) | −2.92163 | − | 7.44420i | −0.109647 | − | 0.279376i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −64.4840 | + | 19.8907i | −2.41664 | + | 0.745435i | ||||
\(713\) | 0.0914593 | − | 0.400710i | 0.00342518 | − | 0.0150067i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.56028 | + | 6.83605i | 0.0583513 | + | 0.255654i | ||||
\(716\) | −45.0044 | − | 77.9499i | −1.68189 | − | 2.91313i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −7.76968 | − | 2.39663i | −0.289962 | − | 0.0894413i | ||||
\(719\) | 1.35967 | + | 18.1435i | 0.0507070 | + | 0.676638i | 0.963413 | + | 0.268021i | \(0.0863697\pi\) |
−0.912706 | + | 0.408617i | \(0.866011\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 47.8005 | − | 15.8833i | 1.78018 | − | 0.591524i | ||||
\(722\) | 30.4698 | + | 38.2079i | 1.13397 | + | 1.42195i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −53.2173 | + | 8.02122i | −1.97781 | + | 0.298106i | ||||
\(725\) | −26.0627 | + | 17.7693i | −0.967945 | + | 0.659934i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −11.8289 | + | 5.69651i | −0.438710 | + | 0.211272i | −0.640183 | − | 0.768222i | \(-0.721142\pi\) |
0.201473 | + | 0.979494i | \(0.435427\pi\) | |||||||
\(728\) | 70.6908 | − | 35.9445i | 2.61998 | − | 1.33219i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 6.25120 | + | 4.26200i | 0.231367 | + | 0.157744i | ||||
\(731\) | −5.32480 | − | 4.94069i | −0.196945 | − | 0.182738i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.13659 | − | 5.44394i | 0.0789167 | − | 0.201077i | −0.885970 | − | 0.463742i | \(-0.846506\pi\) |
0.964887 | + | 0.262666i | \(0.0846016\pi\) | |||||||
\(734\) | 54.4698 | 2.01052 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.76309 | −0.138709 | ||||||||
\(737\) | 7.84265 | − | 19.9827i | 0.288888 | − | 0.736074i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 28.3138 | + | 26.2713i | 1.04154 | + | 0.966407i | 0.999465 | − | 0.0327074i | \(-0.0104129\pi\) |
0.0420742 | + | 0.999114i | \(0.486603\pi\) | |||||||
\(740\) | 5.74050 | + | 3.91381i | 0.211025 | + | 0.143874i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.623316 | − | 3.03139i | 0.0228827 | − | 0.111286i | ||||
\(743\) | −44.8870 | + | 21.6164i | −1.64674 | + | 0.793030i | −0.647217 | + | 0.762306i | \(0.724067\pi\) |
−0.999528 | + | 0.0307245i | \(0.990219\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.47798 | + | 3.05304i | −0.164061 | + | 0.111855i | ||||
\(746\) | 68.9941 | − | 10.3992i | 2.52605 | − | 0.380741i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −9.49123 | − | 11.9016i | −0.347034 | − | 0.435166i | ||||
\(749\) | −4.23564 | + | 4.10391i | −0.154767 | + | 0.149954i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.579555 | − | 7.73363i | −0.0211483 | − | 0.282204i | −0.997745 | − | 0.0671238i | \(-0.978618\pi\) |
0.976596 | − | 0.215080i | \(-0.0690013\pi\) | |||||||
\(752\) | 9.42433 | + | 2.90702i | 0.343670 | + | 0.106008i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −37.7631 | − | 65.4076i | −1.37525 | − | 2.38200i | ||||
\(755\) | 1.05902 | + | 4.63987i | 0.0385417 | + | 0.168862i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.42419 | − | 15.0024i | 0.124454 | − | 0.545270i | −0.873804 | − | 0.486278i | \(-0.838354\pi\) |
0.998258 | − | 0.0589922i | \(-0.0187887\pi\) | |||||||
\(758\) | −60.9465 | + | 18.7995i | −2.21368 | + | 0.682829i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.112109 | − | 0.285649i | −0.00406663 | − | 0.0103616i | ||||
\(761\) | 18.8242 | − | 5.80649i | 0.682376 | − | 0.210485i | 0.0658614 | − | 0.997829i | \(-0.479020\pi\) |
0.616514 | + | 0.787344i | \(0.288544\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.0293454 | + | 0.0534627i | −0.00106237 | + | 0.00193548i | ||||
\(764\) | 21.9920 | + | 96.3534i | 0.795644 | + | 3.48594i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.11338 | − | 12.3207i | 0.257017 | − | 0.445166i | ||||
\(767\) | 20.0502 | + | 6.18468i | 0.723972 | + | 0.223316i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.66168 | − | 5.84556i | 0.168104 | − | 0.210796i | −0.690642 | − | 0.723196i | \(-0.742672\pi\) |
0.858747 | + | 0.512400i | \(0.171244\pi\) | |||||||
\(770\) | 1.03441 | + | 10.6965i | 0.0372776 | + | 0.385477i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 72.9930 | − | 67.7276i | 2.62708 | − | 2.43757i | ||||
\(773\) | −3.58460 | + | 0.540291i | −0.128929 | + | 0.0194329i | −0.213190 | − | 0.977011i | \(-0.568385\pi\) |
0.0842607 | + | 0.996444i | \(0.473147\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.81513 | − | 0.575038i | −0.137044 | − | 0.0206560i | ||||
\(776\) | 27.0346 | − | 13.0192i | 0.970485 | − | 0.467361i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 47.2635 | + | 22.7609i | 1.69448 | + | 0.816018i | ||||
\(779\) | 0.696222 | + | 0.474676i | 0.0249447 | + | 0.0170070i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.62535 | − | 21.6888i | 0.0581597 | − | 0.776088i | ||||
\(782\) | 0.473836 | − | 1.20732i | 0.0169444 | − | 0.0431735i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 53.5350 | − | 19.0826i | 1.91196 | − | 0.681521i | ||||
\(785\) | 10.4708 | 0.373718 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.742587 | + | 9.90913i | −0.0264704 | + | 0.353222i | 0.968205 | + | 0.250160i | \(0.0804832\pi\) |
−0.994675 | + | 0.103063i | \(0.967136\pi\) | |||||||
\(788\) | 2.38590 | + | 2.21379i | 0.0849942 | + | 0.0788631i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.49323 | + | 2.64540i | 0.195440 | + | 0.0941191i | ||||
\(791\) | −7.75791 | − | 30.8968i | −0.275839 | − | 1.09856i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 53.5276 | + | 8.06799i | 1.90082 | + | 0.286503i | ||||
\(794\) | 18.4518 | − | 12.5802i | 0.654828 | − | 0.446454i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −15.6950 | + | 14.5628i | −0.556295 | + | 0.516166i | ||||
\(797\) | 23.0743 | + | 28.9342i | 0.817333 | + | 1.02490i | 0.999136 | + | 0.0415680i | \(0.0132353\pi\) |
−0.181803 | + | 0.983335i | \(0.558193\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.750485 | + | 0.941078i | −0.0265503 | + | 0.0332930i | ||||
\(800\) | 2.63980 | + | 35.2256i | 0.0933309 | + | 1.24541i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −28.3528 | + | 49.1085i | −1.00117 | + | 1.73408i | ||||
\(803\) | 10.2885 | + | 17.8202i | 0.363074 | + | 0.628863i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.520118 | + | 0.371320i | −0.0183318 | + | 0.0130873i | ||||
\(806\) | 2.05562 | − | 9.00624i | 0.0724060 | − | 0.317231i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 22.2527 | + | 56.6990i | 0.782848 | + | 1.99466i | ||||
\(809\) | 20.5742 | + | 52.4222i | 0.723351 | + | 1.84307i | 0.493212 | + | 0.869909i | \(0.335823\pi\) |
0.230139 | + | 0.973158i | \(0.426082\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.89358 | + | 30.2027i | −0.242066 | + | 1.06056i | 0.697066 | + | 0.717007i | \(0.254488\pi\) |
−0.939133 | + | 0.343555i | \(0.888369\pi\) | |||||||
\(812\) | −31.1347 | − | 74.5525i | −1.09262 | − | 2.61628i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 13.5362 | + | 23.4454i | 0.474444 | + | 0.821761i | ||||
\(815\) | −2.23311 | + | 3.86785i | −0.0782223 | + | 0.135485i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.0524605 | − | 0.700037i | −0.00183536 | − | 0.0244912i | ||||
\(818\) | −20.2208 | + | 25.3561i | −0.707003 | + | 0.886554i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 12.0420 | + | 15.1001i | 0.420524 | + | 0.527320i | ||||
\(821\) | −21.2369 | + | 19.7049i | −0.741171 | + | 0.687706i | −0.957442 | − | 0.288627i | \(-0.906801\pi\) |
0.216270 | + | 0.976334i | \(0.430611\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.77366 | − | 5.29999i | 0.270973 | − | 0.184746i | −0.420208 | − | 0.907428i | \(-0.638043\pi\) |
0.691181 | + | 0.722682i | \(0.257091\pi\) | |||||||
\(824\) | −127.023 | − | 19.1456i | −4.42506 | − | 0.666970i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 29.2679 | + | 13.3236i | 1.01836 | + | 0.463587i | ||||
\(827\) | −9.28130 | − | 4.46964i | −0.322742 | − | 0.155425i | 0.265496 | − | 0.964112i | \(-0.414464\pi\) |
−0.588239 | + | 0.808687i | \(0.700178\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.1589 | + | 14.9933i | 0.561222 | + | 0.520738i | 0.908976 | − | 0.416848i | \(-0.136865\pi\) |
−0.347754 | + | 0.937586i | \(0.613056\pi\) | |||||||
\(830\) | −1.58990 | + | 21.2158i | −0.0551864 | + | 0.736411i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −12.4416 | −0.431336 | ||||||||
\(833\) | −0.219078 | + | 6.93298i | −0.00759060 | + | 0.240214i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.68269 | − | 4.28743i | 0.0582320 | − | 0.148373i | ||||
\(836\) | 0.109940 | − | 1.46705i | 0.00380237 | − | 0.0507391i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −15.7222 | − | 10.7192i | −0.543115 | − | 0.370290i | ||||
\(839\) | −33.4865 | − | 16.1263i | −1.15608 | − | 0.556740i | −0.245227 | − | 0.969466i | \(-0.578863\pi\) |
−0.910855 | + | 0.412725i | \(0.864577\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.1986 | + | 6.35610i | −0.455123 | + | 0.219176i | ||||
\(842\) | 64.3608 | + | 9.70082i | 2.21802 | + | 0.334313i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 34.4976 | − | 5.19967i | 1.18746 | − | 0.178980i | ||||
\(845\) | −2.34444 | + | 2.17532i | −0.0806512 | + | 0.0748334i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.0428360 | + | 0.116483i | −0.00147186 | + | 0.00400241i | ||||
\(848\) | −2.30108 | + | 2.88546i | −0.0790193 | + | 0.0990871i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −11.6339 | − | 3.58857i | −0.399038 | − | 0.123087i | ||||
\(851\) | −0.804963 | + | 1.39424i | −0.0275938 | + | 0.0477938i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 3.63364 | + | 15.9200i | 0.124413 | + | 0.545091i | 0.998264 | + | 0.0588965i | \(0.0187582\pi\) |
−0.873851 | + | 0.486195i | \(0.838385\pi\) | |||||||
\(854\) | 79.7876 | + | 22.7355i | 2.73027 | + | 0.777994i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 14.3725 | − | 4.43332i | 0.491241 | − | 0.151528i | ||||
\(857\) | 20.3165 | + | 51.7656i | 0.693998 | + | 1.76828i | 0.638244 | + | 0.769834i | \(0.279661\pi\) |
0.0557541 | + | 0.998445i | \(0.482244\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −45.2053 | + | 13.9440i | −1.54239 | + | 0.475763i | −0.945242 | − | 0.326371i | \(-0.894174\pi\) |
−0.597144 | + | 0.802134i | \(0.703698\pi\) | |||||||
\(860\) | 3.58042 | − | 15.6868i | 0.122091 | − | 0.534917i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.43737 | + | 28.2040i | 0.219258 | + | 0.960631i | ||||
\(863\) | 7.34385 | + | 12.7199i | 0.249988 | + | 0.432991i | 0.963522 | − | 0.267629i | \(-0.0862401\pi\) |
−0.713534 | + | 0.700620i | \(0.752907\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.23488 | − | 1.61475i | −0.177991 | − | 0.0549030i | ||||
\(866\) | 4.17091 | + | 55.6569i | 0.141733 | + | 1.89130i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.41073 | − | 9.27474i | 0.115768 | − | 0.314805i | ||||
\(869\) | 10.3389 | + | 12.9645i | 0.350722 | + | 0.439791i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 28.3713 | − | 4.27628i | 0.961324 | − | 0.144896i | ||||
\(872\) | 0.128508 | − | 0.0876151i | 0.00435182 | − | 0.00296702i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.112930 | − | 0.0543841i | 0.00381991 | − | 0.00183957i | ||||
\(875\) | 7.86287 | + | 9.43418i | 0.265814 | + | 0.318934i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 36.6895 | + | 25.0145i | 1.23892 | + | 0.844680i | 0.992230 | − | 0.124415i | \(-0.0397054\pi\) |
0.246688 | + | 0.969095i | \(0.420658\pi\) | |||||||
\(878\) | −61.1518 | − | 56.7406i | −2.06377 | − | 1.91490i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 4.68199 | − | 11.9295i | 0.157830 | − | 0.402144i | ||||
\(881\) | −43.7802 | −1.47499 | −0.737496 | − | 0.675352i | \(-0.763992\pi\) | ||||
−0.737496 | + | 0.675352i | \(0.763992\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −10.6151 | −0.357226 | −0.178613 | − | 0.983919i | \(-0.557161\pi\) | ||||
−0.178613 | + | 0.983919i | \(0.557161\pi\) | |||||||
\(884\) | 7.43334 | − | 18.9398i | 0.250010 | − | 0.637016i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −20.0052 | − | 18.5621i | −0.672087 | − | 0.623605i | ||||
\(887\) | −44.2024 | − | 30.1367i | −1.48417 | − | 1.01189i | −0.989772 | − | 0.142656i | \(-0.954436\pi\) |
−0.494399 | − | 0.869235i | \(-0.664612\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −23.5715 | − | 10.7304i | −0.790563 | − | 0.359887i | ||||
\(890\) | 11.0118 | − | 5.30300i | 0.369116 | − | 0.177757i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −83.5623 | + | 56.9718i | −2.79787 | + | 1.90756i | ||||
\(893\) | −0.115028 | + | 0.0173377i | −0.00384927 | + | 0.000580183i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.76607 | + | 7.23042i | 0.192738 | + | 0.241686i | ||||
\(896\) | 19.9173 | + | 2.56331i | 0.665389 | + | 0.0856341i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.87828 | − | 25.0639i | −0.0626789 | − | 0.836392i | ||||
\(899\) | −5.10170 | − | 1.57366i | −0.170151 | − | 0.0524847i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.225215 | − | 0.390084i | −0.00750301 | − | 0.0129956i | ||||
\(902\) | 16.7464 | + | 73.3709i | 0.557595 | + | 2.44298i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −18.0779 | + | 79.2044i | −0.601261 | + | 2.63430i | ||||
\(905\) | 5.28397 | − | 1.62989i | 0.175645 | − | 0.0541793i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −11.0509 | − | 28.1571i | −0.366938 | − | 0.934943i | −0.988451 | − | 0.151539i | \(-0.951577\pi\) |
0.621513 | − | 0.783404i | \(-0.286518\pi\) | |||||||
\(908\) | −0.822473 | + | 0.253699i | −0.0272947 | + | 0.00841931i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −11.6900 | + | 8.34569i | −0.387521 | + | 0.276657i | ||||
\(911\) | −1.42613 | − | 6.24826i | −0.0472496 | − | 0.207014i | 0.945793 | − | 0.324770i | \(-0.105287\pi\) |
−0.993043 | + | 0.117756i | \(0.962430\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −28.9315 | + | 50.1108i | −0.957492 | + | 1.65842i | ||||
\(914\) | −22.4075 | − | 6.91179i | −0.741174 | − | 0.228622i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 41.3451 | − | 51.8451i | 1.36608 | − | 1.71301i | ||||
\(917\) | −20.1507 | − | 13.1099i | −0.665435 | − | 0.432928i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 16.8799 | − | 15.6622i | 0.556816 | − | 0.516650i | −0.350800 | − | 0.936450i | \(-0.614090\pi\) |
0.907616 | + | 0.419801i | \(0.137900\pi\) | |||||||
\(920\) | 1.61158 | − | 0.242907i | 0.0531323 | − | 0.00800840i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 83.2487 | + | 12.5477i | 2.74165 | + | 0.413237i | ||||
\(923\) | 26.1912 | − | 12.6130i | 0.862093 | − | 0.415162i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 13.6159 | + | 6.55707i | 0.447688 | + | 0.215595i | ||||
\(926\) | 31.5663 | + | 21.5215i | 1.03733 | + | 0.707241i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.65287 | + | 48.7441i | −0.119911 | + | 1.60010i | ||||
\(929\) | 14.4606 | − | 36.8449i | 0.474435 | − | 1.20884i | −0.470738 | − | 0.882273i | \(-0.656012\pi\) |
0.945173 | − | 0.326569i | \(-0.105892\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.471251 | + | 0.476760i | −0.0154446 | + | 0.0156252i | ||||
\(932\) | −66.0656 | −2.16405 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.84690 | − | 37.9893i | 0.0931536 | − | 1.24305i | ||||
\(935\) | 1.14655 | + | 1.06384i | 0.0374962 | + | 0.0347914i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −4.00389 | − | 1.92817i | −0.130801 | − | 0.0629906i | 0.367338 | − | 0.930087i | \(-0.380269\pi\) |
−0.498140 | + | 0.867097i | \(0.665983\pi\) | |||||||
\(938\) | 43.9630 | − | 0.949990i | 1.43544 | − | 0.0310183i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.63651 | − | 0.397390i | −0.0859934 | − | 0.0129614i | ||||
\(941\) | −40.1193 | + | 27.3529i | −1.30785 | + | 0.891678i | −0.998247 | − | 0.0591878i | \(-0.981149\pi\) |
−0.309604 | + | 0.950866i | \(0.600197\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.28069 | + | 3.04403i | −0.106834 | + | 0.0991273i | ||||
\(944\) | −23.9103 | − | 29.9825i | −0.778213 | − | 0.975849i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 39.0909 | − | 49.0184i | 1.27095 | − | 1.59373i | ||||
\(947\) | 2.37743 | + | 31.7246i | 0.0772560 | + | 1.03091i | 0.892280 | + | 0.451482i | \(0.149105\pi\) |
−0.815024 | + | 0.579427i | \(0.803276\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −13.7514 | + | 23.8181i | −0.446388 | + | 0.773167i | ||||
\(950\) | −0.588300 | − | 1.01897i | −0.0190870 | − | 0.0330596i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 8.51188 | − | 15.5073i | 0.275872 | − | 0.502596i | ||||
\(953\) | 10.8967 | − | 47.7418i | 0.352980 | − | 1.54651i | −0.417280 | − | 0.908778i | \(-0.637017\pi\) |
0.770260 | − | 0.637730i | \(-0.220126\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.70987 | − | 9.45259i | −0.120049 | − | 0.305879i | ||||
\(956\) | −44.4306 | − | 113.207i | −1.43699 | − | 3.66139i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.66346 | − | 7.28809i | 0.0537440 | − | 0.235468i | ||||
\(959\) | 1.40781 | − | 26.4404i | 0.0454605 | − | 0.853806i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.1735 | + | 26.2813i | 0.489467 | + | 0.847783i | ||||
\(962\) | −18.0921 | + | 31.3365i | −0.583314 | + | 1.01033i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −4.21442 | − | 56.2375i | −0.135737 | − | 1.81129i | ||||
\(965\) | −6.37884 | + | 7.99881i | −0.205342 | + | 0.257491i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 21.9539 | + | 27.5294i | 0.705991 | + | 0.885285i | 0.997455 | − | 0.0712968i | \(-0.0227137\pi\) |
−0.291464 | + | 0.956582i | \(0.594142\pi\) | |||||||
\(968\) | 0.232021 | − | 0.215284i | 0.00745744 | − | 0.00691950i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.49030 | + | 3.06144i | −0.144175 | + | 0.0982968i | ||||
\(971\) | 27.5185 | + | 4.14775i | 0.883111 | + | 0.133108i | 0.574913 | − | 0.818215i | \(-0.305036\pi\) |
0.308198 | + | 0.951322i | \(0.400274\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.88153 | − | 38.3305i | 0.252670 | − | 1.22882i | ||||
\(974\) | 26.3699 | + | 12.6991i | 0.844946 | + | 0.406905i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −72.5254 | − | 67.2937i | −2.32148 | − | 2.15402i | ||||
\(977\) | 1.64054 | − | 21.8915i | 0.0524856 | − | 0.700372i | −0.907452 | − | 0.420157i | \(-0.861975\pi\) |
0.959937 | − | 0.280215i | \(-0.0904058\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 33.2409 | 1.06238 | ||||||||
\(980\) | −13.5424 | + | 7.25838i | −0.432598 | + | 0.231860i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −26.5220 | + | 67.5770i | −0.846352 | + | 2.15647i | ||||
\(983\) | 2.98037 | − | 39.7703i | 0.0950590 | − | 1.26847i | −0.721989 | − | 0.691905i | \(-0.756772\pi\) |
0.817048 | − | 0.576570i | \(-0.195609\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.276305 | − | 0.188382i | −0.00880381 | − | 0.00600234i | ||||
\(986\) | −15.1787 | − | 7.30965i | −0.483387 | − | 0.232787i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.77159 | − | 0.853155i | 0.0563619 | − | 0.0271425i | ||||
\(989\) | 3.68678 | + | 0.555692i | 0.117233 | + | 0.0176700i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.0601 | + | 2.57139i | −0.541931 | + | 0.0816830i | −0.414303 | − | 0.910139i | \(-0.635975\pi\) |
−0.127628 | + | 0.991822i | \(0.540737\pi\) | |||||||
\(992\) | −4.38275 | + | 4.06659i | −0.139152 | + | 0.129114i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 42.2800 | − | 14.0489i | 1.34104 | − | 0.445605i | ||||
\(995\) | 1.37158 | − | 1.71991i | 0.0434820 | − | 0.0545248i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −37.0425 | − | 11.4261i | −1.17315 | − | 0.361868i | −0.353886 | − | 0.935289i | \(-0.615140\pi\) |
−0.819261 | + | 0.573421i | \(0.805616\pi\) | |||||||
\(998\) | 3.59516 | − | 6.22700i | 0.113803 | − | 0.197112i | ||||
\(999\) | 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 | 441.2.bb.d.46.1 | 48 | ||
3.2 | odd | 2 | 49.2.g.a.46.4 | yes | 48 | ||
12.11 | even | 2 | 784.2.bg.c.193.4 | 48 | |||
21.2 | odd | 6 | 343.2.g.i.79.1 | 48 | |||
21.5 | even | 6 | 343.2.g.h.79.1 | 48 | |||
21.11 | odd | 6 | 343.2.e.d.50.8 | 48 | |||
21.17 | even | 6 | 343.2.e.c.50.8 | 48 | |||
21.20 | even | 2 | 343.2.g.g.214.4 | 48 | |||
49.16 | even | 21 | inner | 441.2.bb.d.163.1 | 48 | ||
147.53 | odd | 42 | 2401.2.a.h.1.24 | 24 | |||
147.59 | even | 42 | 343.2.e.c.295.8 | 48 | |||
147.65 | odd | 42 | 49.2.g.a.16.4 | ✓ | 48 | ||
147.92 | odd | 14 | 343.2.g.i.165.1 | 48 | |||
147.104 | even | 14 | 343.2.g.h.165.1 | 48 | |||
147.131 | even | 42 | 343.2.g.g.226.4 | 48 | |||
147.137 | odd | 42 | 343.2.e.d.295.8 | 48 | |||
147.143 | even | 42 | 2401.2.a.i.1.24 | 24 | |||
588.359 | even | 42 | 784.2.bg.c.65.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.16.4 | ✓ | 48 | 147.65 | odd | 42 | ||
49.2.g.a.46.4 | yes | 48 | 3.2 | odd | 2 | ||
343.2.e.c.50.8 | 48 | 21.17 | even | 6 | |||
343.2.e.c.295.8 | 48 | 147.59 | even | 42 | |||
343.2.e.d.50.8 | 48 | 21.11 | odd | 6 | |||
343.2.e.d.295.8 | 48 | 147.137 | odd | 42 | |||
343.2.g.g.214.4 | 48 | 21.20 | even | 2 | |||
343.2.g.g.226.4 | 48 | 147.131 | even | 42 | |||
343.2.g.h.79.1 | 48 | 21.5 | even | 6 | |||
343.2.g.h.165.1 | 48 | 147.104 | even | 14 | |||
343.2.g.i.79.1 | 48 | 21.2 | odd | 6 | |||
343.2.g.i.165.1 | 48 | 147.92 | odd | 14 | |||
441.2.bb.d.46.1 | 48 | 1.1 | even | 1 | trivial | ||
441.2.bb.d.163.1 | 48 | 49.16 | even | 21 | inner | ||
784.2.bg.c.65.4 | 48 | 588.359 | even | 42 | |||
784.2.bg.c.193.4 | 48 | 12.11 | even | 2 | |||
2401.2.a.h.1.24 | 24 | 147.53 | odd | 42 | |||
2401.2.a.i.1.24 | 24 | 147.143 | even | 42 |