Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 181.25 | ||
Character | \(\chi\) | \(=\) | 483.181 |
Dual form | 483.2.r.a.475.25 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.249170 | + | 1.73301i | 0.176190 | + | 1.22543i | 0.865481 | + | 0.500942i | \(0.167013\pi\) |
−0.689291 | + | 0.724484i | \(0.742078\pi\) | |||||||
\(3\) | −0.909632 | − | 0.415415i | −0.525176 | − | 0.239840i | ||||
\(4\) | −1.02227 | + | 0.300164i | −0.511133 | + | 0.150082i | ||||
\(5\) | −0.949954 | + | 1.09631i | −0.424832 | + | 0.490283i | −0.927303 | − | 0.374312i | \(-0.877879\pi\) |
0.502471 | + | 0.864594i | \(0.332425\pi\) | |||||||
\(6\) | 0.493267 | − | 1.67991i | 0.201375 | − | 0.685822i | ||||
\(7\) | 2.24482 | − | 1.40028i | 0.848461 | − | 0.529258i | ||||
\(8\) | 0.679740 | + | 1.48842i | 0.240324 | + | 0.526237i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | −2.13661 | − | 1.37312i | −0.675656 | − | 0.434218i | ||||
\(11\) | 4.23455 | + | 0.608836i | 1.27676 | + | 0.183571i | 0.747143 | − | 0.664663i | \(-0.231425\pi\) |
0.529621 | + | 0.848234i | \(0.322334\pi\) | |||||||
\(12\) | 1.05458 | + | 0.151625i | 0.304430 | + | 0.0437705i | ||||
\(13\) | 0.348161 | − | 0.541750i | 0.0965626 | − | 0.150254i | −0.789611 | − | 0.613608i | \(-0.789718\pi\) |
0.886174 | + | 0.463353i | \(0.153354\pi\) | |||||||
\(14\) | 2.98605 | + | 3.54139i | 0.798056 | + | 0.946476i | ||||
\(15\) | 1.31953 | − | 0.602609i | 0.340701 | − | 0.155593i | ||||
\(16\) | −4.20267 | + | 2.70089i | −1.05067 | + | 0.675223i | ||||
\(17\) | 3.23495 | + | 0.949868i | 0.784592 | + | 0.230377i | 0.649404 | − | 0.760443i | \(-0.275018\pi\) |
0.135187 | + | 0.990820i | \(0.456836\pi\) | |||||||
\(18\) | −1.14655 | + | 1.32319i | −0.270245 | + | 0.311879i | ||||
\(19\) | −5.44140 | + | 1.59774i | −1.24834 | + | 0.366546i | −0.838143 | − | 0.545450i | \(-0.816359\pi\) |
−0.410199 | + | 0.911996i | \(0.634541\pi\) | |||||||
\(20\) | 0.642033 | − | 1.40586i | 0.143563 | − | 0.314359i | ||||
\(21\) | −2.62366 | + | 0.341213i | −0.572529 | + | 0.0744588i | ||||
\(22\) | 7.49023i | 1.59692i | ||||||||
\(23\) | −3.94316 | + | 2.72975i | −0.822205 | + | 0.569192i | ||||
\(24\) | − | 1.63629i | − | 0.334007i | ||||||
\(25\) | 0.412101 | + | 2.86623i | 0.0824203 | + | 0.573246i | ||||
\(26\) | 1.02561 | + | 0.468381i | 0.201139 | + | 0.0918570i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | −1.87448 | + | 2.10528i | −0.354244 | + | 0.397860i | ||||
\(29\) | 0.971380 | + | 0.285223i | 0.180381 | + | 0.0529645i | 0.370675 | − | 0.928762i | \(-0.379126\pi\) |
−0.190295 | + | 0.981727i | \(0.560944\pi\) | |||||||
\(30\) | 1.37312 | + | 2.13661i | 0.250696 | + | 0.390090i | ||||
\(31\) | −1.32538 | + | 0.605279i | −0.238044 | + | 0.108711i | −0.530866 | − | 0.847456i | \(-0.678133\pi\) |
0.292821 | + | 0.956167i | \(0.405406\pi\) | |||||||
\(32\) | −3.58477 | − | 4.13705i | −0.633704 | − | 0.731334i | ||||
\(33\) | −3.59896 | − | 2.31291i | −0.626499 | − | 0.402626i | ||||
\(34\) | −0.840082 | + | 5.84290i | −0.144073 | + | 1.00205i | ||||
\(35\) | −0.597334 | + | 3.79121i | −0.100968 | + | 0.640832i | ||||
\(36\) | −0.896290 | − | 0.576011i | −0.149382 | − | 0.0960018i | ||||
\(37\) | 4.12525 | − | 3.57455i | 0.678187 | − | 0.587653i | −0.246149 | − | 0.969232i | \(-0.579165\pi\) |
0.924336 | + | 0.381580i | \(0.124620\pi\) | |||||||
\(38\) | −4.12473 | − | 9.03191i | −0.669120 | − | 1.46517i | ||||
\(39\) | −0.541750 | + | 0.348161i | −0.0867494 | + | 0.0557504i | ||||
\(40\) | −2.27749 | − | 0.668731i | −0.360102 | − | 0.105736i | ||||
\(41\) | 8.09702 | + | 7.01611i | 1.26454 | + | 1.09573i | 0.990999 | + | 0.133873i | \(0.0427414\pi\) |
0.273544 | + | 0.961860i | \(0.411804\pi\) | |||||||
\(42\) | −1.24506 | − | 4.46181i | −0.192117 | − | 0.688473i | ||||
\(43\) | 0.221014 | + | 0.100934i | 0.0337043 | + | 0.0153922i | 0.432196 | − | 0.901780i | \(-0.357739\pi\) |
−0.398492 | + | 0.917172i | \(0.630466\pi\) | |||||||
\(44\) | −4.51158 | + | 0.648668i | −0.680147 | + | 0.0977903i | ||||
\(45\) | −1.45062 | −0.216246 | ||||||||
\(46\) | −5.71320 | − | 6.15337i | −0.842366 | − | 0.907266i | ||||
\(47\) | 9.53579i | 1.39094i | 0.718556 | + | 0.695469i | \(0.244803\pi\) | ||||
−0.718556 | + | 0.695469i | \(0.755197\pi\) | |||||||
\(48\) | 4.94487 | − | 0.710965i | 0.713731 | − | 0.102619i | ||||
\(49\) | 3.07841 | − | 6.28676i | 0.439772 | − | 0.898109i | ||||
\(50\) | −4.86453 | + | 1.42835i | −0.687948 | + | 0.202000i | ||||
\(51\) | −2.54803 | − | 2.20788i | −0.356795 | − | 0.309165i | ||||
\(52\) | −0.193299 | + | 0.658317i | −0.0268058 | + | 0.0912922i | ||||
\(53\) | −3.23708 | − | 5.03700i | −0.444648 | − | 0.691885i | 0.544508 | − | 0.838756i | \(-0.316716\pi\) |
−0.989156 | + | 0.146870i | \(0.953080\pi\) | |||||||
\(54\) | 1.59262 | − | 0.727323i | 0.216727 | − | 0.0989761i | ||||
\(55\) | −4.69010 | + | 4.06399i | −0.632412 | + | 0.547988i | ||||
\(56\) | 3.61011 | + | 2.38941i | 0.482421 | + | 0.319298i | ||||
\(57\) | 5.61339 | + | 0.807084i | 0.743512 | + | 0.106901i | ||||
\(58\) | −0.252257 | + | 1.75448i | −0.0331229 | + | 0.230375i | ||||
\(59\) | 2.73409 | − | 4.25433i | 0.355948 | − | 0.553866i | −0.616391 | − | 0.787440i | \(-0.711406\pi\) |
0.972339 | + | 0.233574i | \(0.0750422\pi\) | |||||||
\(60\) | −1.16803 | + | 1.01210i | −0.150792 | + | 0.130662i | ||||
\(61\) | −3.29586 | − | 7.21692i | −0.421991 | − | 0.924032i | −0.994559 | − | 0.104174i | \(-0.966780\pi\) |
0.572568 | − | 0.819857i | \(-0.305947\pi\) | |||||||
\(62\) | −1.37920 | − | 2.14608i | −0.175159 | − | 0.272552i | ||||
\(63\) | 2.52831 | + | 0.779528i | 0.318537 | + | 0.0982113i | ||||
\(64\) | −0.266659 | + | 0.307740i | −0.0333323 | + | 0.0384676i | ||||
\(65\) | 0.263186 | + | 0.896329i | 0.0326442 | + | 0.111176i | ||||
\(66\) | 3.11156 | − | 6.81336i | 0.383006 | − | 0.838666i | ||||
\(67\) | 3.82326 | − | 0.549702i | 0.467086 | − | 0.0671568i | 0.0952461 | − | 0.995454i | \(-0.469636\pi\) |
0.371840 | + | 0.928297i | \(0.378727\pi\) | |||||||
\(68\) | −3.59210 | −0.435606 | ||||||||
\(69\) | 4.72080 | − | 0.845019i | 0.568317 | − | 0.101728i | ||||
\(70\) | −6.71906 | − | 0.0905321i | −0.803081 | − | 0.0108207i | ||||
\(71\) | −2.33283 | − | 16.2252i | −0.276856 | − | 1.92558i | −0.368173 | − | 0.929757i | \(-0.620017\pi\) |
0.0913169 | − | 0.995822i | \(-0.470892\pi\) | |||||||
\(72\) | −0.679740 | + | 1.48842i | −0.0801081 | + | 0.175412i | ||||
\(73\) | −1.52030 | − | 5.17765i | −0.177937 | − | 0.605998i | −0.999363 | − | 0.0356831i | \(-0.988639\pi\) |
0.821426 | − | 0.570315i | \(-0.193179\pi\) | |||||||
\(74\) | 7.22263 | + | 6.25845i | 0.839614 | + | 0.727530i | ||||
\(75\) | 0.815813 | − | 2.77841i | 0.0942020 | − | 0.320823i | ||||
\(76\) | 5.08297 | − | 3.26662i | 0.583056 | − | 0.374708i | ||||
\(77\) | 10.3583 | − | 4.56285i | 1.18044 | − | 0.519985i | ||||
\(78\) | −0.738356 | − | 0.852108i | −0.0836024 | − | 0.0964823i | ||||
\(79\) | 8.23381 | − | 12.8121i | 0.926375 | − | 1.44147i | 0.0293101 | − | 0.999570i | \(-0.490669\pi\) |
0.897065 | − | 0.441898i | \(-0.145695\pi\) | |||||||
\(80\) | 1.03134 | − | 7.17313i | 0.115307 | − | 0.801980i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | −10.1415 | + | 15.7805i | −1.11994 | + | 1.74266i | ||||
\(83\) | −0.871454 | − | 1.00571i | −0.0956545 | − | 0.110391i | 0.705904 | − | 0.708307i | \(-0.250541\pi\) |
−0.801559 | + | 0.597916i | \(0.795996\pi\) | |||||||
\(84\) | 2.57965 | − | 1.13634i | 0.281463 | − | 0.123985i | ||||
\(85\) | −4.11440 | + | 2.64417i | −0.446270 | + | 0.286800i | ||||
\(86\) | −0.119849 | + | 0.408170i | −0.0129237 | + | 0.0440141i | ||||
\(87\) | −0.765112 | − | 0.662973i | −0.0820286 | − | 0.0710782i | ||||
\(88\) | 1.97219 | + | 6.71665i | 0.210236 | + | 0.715997i | ||||
\(89\) | −2.86528 | + | 6.27410i | −0.303720 | + | 0.665053i | −0.998534 | − | 0.0541364i | \(-0.982759\pi\) |
0.694814 | + | 0.719190i | \(0.255487\pi\) | |||||||
\(90\) | −0.361451 | − | 2.51394i | −0.0381002 | − | 0.264993i | ||||
\(91\) | 0.0229549 | − | 1.70365i | 0.00240633 | − | 0.178591i | ||||
\(92\) | 3.21158 | − | 3.97412i | 0.334830 | − | 0.414331i | ||||
\(93\) | 1.45705 | 0.151089 | ||||||||
\(94\) | −16.5256 | + | 2.37603i | −1.70449 | + | 0.245069i | ||||
\(95\) | 3.41747 | − | 7.48321i | 0.350625 | − | 0.767761i | ||||
\(96\) | 1.54223 | + | 5.25236i | 0.157403 | + | 0.536067i | ||||
\(97\) | 4.37973 | − | 5.05447i | 0.444694 | − | 0.513204i | −0.488507 | − | 0.872560i | \(-0.662458\pi\) |
0.933201 | + | 0.359356i | \(0.117004\pi\) | |||||||
\(98\) | 11.6621 | + | 3.76845i | 1.17805 | + | 0.380671i | ||||
\(99\) | 2.31291 | + | 3.59896i | 0.232456 | + | 0.361709i | ||||
\(100\) | −1.28162 | − | 2.80635i | −0.128162 | − | 0.280635i | ||||
\(101\) | −1.08927 | + | 0.943854i | −0.108386 | + | 0.0939170i | −0.707368 | − | 0.706846i | \(-0.750118\pi\) |
0.598982 | + | 0.800763i | \(0.295572\pi\) | |||||||
\(102\) | 3.19139 | − | 4.96590i | 0.315995 | − | 0.491698i | ||||
\(103\) | −1.95676 | + | 13.6096i | −0.192805 | + | 1.34099i | 0.631734 | + | 0.775185i | \(0.282343\pi\) |
−0.824539 | + | 0.565805i | \(0.808566\pi\) | |||||||
\(104\) | 1.04301 | + | 0.149962i | 0.102276 | + | 0.0147050i | ||||
\(105\) | 2.11828 | − | 3.20047i | 0.206723 | − | 0.312333i | ||||
\(106\) | 7.92261 | − | 6.86498i | 0.769512 | − | 0.666786i | ||||
\(107\) | 1.11810 | − | 0.510620i | 0.108091 | − | 0.0493635i | −0.360636 | − | 0.932707i | \(-0.617440\pi\) |
0.468727 | + | 0.883343i | \(0.344713\pi\) | |||||||
\(108\) | 0.576011 | + | 0.896290i | 0.0554267 | + | 0.0862456i | ||||
\(109\) | −1.00860 | + | 3.43499i | −0.0966067 | + | 0.329012i | −0.993589 | − | 0.113055i | \(-0.963936\pi\) |
0.896982 | + | 0.442067i | \(0.145755\pi\) | |||||||
\(110\) | −8.21158 | − | 7.11538i | −0.782944 | − | 0.678425i | ||||
\(111\) | −5.23738 | + | 1.53783i | −0.497110 | + | 0.145965i | ||||
\(112\) | −5.65220 | + | 11.9479i | −0.534083 | + | 1.12897i | ||||
\(113\) | −3.65192 | + | 0.525067i | −0.343544 | + | 0.0493941i | −0.311927 | − | 0.950106i | \(-0.600975\pi\) |
−0.0316163 | + | 0.999500i | \(0.510065\pi\) | |||||||
\(114\) | 9.92919i | 0.929954i | ||||||||
\(115\) | 0.753181 | − | 6.91604i | 0.0702345 | − | 0.644924i | ||||
\(116\) | −1.07862 | −0.100147 | ||||||||
\(117\) | 0.637424 | − | 0.0916478i | 0.0589299 | − | 0.00847284i | ||||
\(118\) | 8.05406 | + | 3.67817i | 0.741436 | + | 0.338603i | ||||
\(119\) | 8.59196 | − | 2.39758i | 0.787624 | − | 0.219785i | ||||
\(120\) | 1.79387 | + | 1.55440i | 0.163758 | + | 0.141897i | ||||
\(121\) | 7.00629 | + | 2.05723i | 0.636936 | + | 0.187021i | ||||
\(122\) | 11.6858 | − | 7.51000i | 1.05798 | − | 0.679924i | ||||
\(123\) | −4.45071 | − | 9.74570i | −0.401307 | − | 0.878740i | ||||
\(124\) | 1.17320 | − | 1.01659i | 0.105357 | − | 0.0912921i | ||||
\(125\) | −9.63543 | − | 6.19232i | −0.861819 | − | 0.553858i | ||||
\(126\) | −0.720955 | + | 4.57583i | −0.0642278 | + | 0.407647i | ||||
\(127\) | −0.951892 | + | 6.62056i | −0.0844668 | + | 0.587479i | 0.902999 | + | 0.429644i | \(0.141361\pi\) |
−0.987465 | + | 0.157836i | \(0.949548\pi\) | |||||||
\(128\) | −9.80997 | − | 6.30448i | −0.867087 | − | 0.557243i | ||||
\(129\) | −0.159112 | − | 0.183625i | −0.0140090 | − | 0.0161673i | ||||
\(130\) | −1.48777 | + | 0.679443i | −0.130486 | + | 0.0595911i | ||||
\(131\) | −4.88667 | − | 7.60380i | −0.426950 | − | 0.664347i | 0.559421 | − | 0.828884i | \(-0.311024\pi\) |
−0.986371 | + | 0.164537i | \(0.947387\pi\) | |||||||
\(132\) | 4.37335 | + | 1.28413i | 0.380651 | + | 0.111769i | ||||
\(133\) | −9.97765 | + | 11.2061i | −0.865172 | + | 0.971695i | ||||
\(134\) | 1.90528 | + | 6.48880i | 0.164591 | + | 0.560547i | ||||
\(135\) | 1.31953 | + | 0.602609i | 0.113567 | + | 0.0518644i | ||||
\(136\) | 0.785122 | + | 5.46064i | 0.0673236 | + | 0.468246i | ||||
\(137\) | 11.5105i | 0.983405i | 0.870763 | + | 0.491703i | \(0.163625\pi\) | ||||
−0.870763 | + | 0.491703i | \(0.836375\pi\) | |||||||
\(138\) | 2.64071 | + | 7.97066i | 0.224792 | + | 0.678507i | ||||
\(139\) | − | 18.7004i | − | 1.58614i | −0.609128 | − | 0.793072i | \(-0.708480\pi\) | ||
0.609128 | − | 0.793072i | \(-0.291520\pi\) | |||||||
\(140\) | −0.527352 | − | 4.05492i | −0.0445694 | − | 0.342703i | ||||
\(141\) | 3.96131 | − | 8.67406i | 0.333602 | − | 0.730487i | ||||
\(142\) | 27.5373 | − | 8.08567i | 2.31087 | − | 0.678534i | ||||
\(143\) | 1.80414 | − | 2.08209i | 0.150870 | − | 0.174113i | ||||
\(144\) | −4.79336 | − | 1.40746i | −0.399447 | − | 0.117288i | ||||
\(145\) | −1.23546 | + | 0.793980i | −0.102599 | + | 0.0659365i | ||||
\(146\) | 8.59413 | − | 3.92481i | 0.711255 | − | 0.324819i | ||||
\(147\) | −5.41183 | + | 4.43983i | −0.446361 | + | 0.366191i | ||||
\(148\) | −3.14415 | + | 4.89239i | −0.258447 | + | 0.402152i | ||||
\(149\) | 20.5609 | + | 2.95622i | 1.68442 | + | 0.242183i | 0.916978 | − | 0.398938i | \(-0.130621\pi\) |
0.767440 | + | 0.641121i | \(0.221530\pi\) | |||||||
\(150\) | 5.01829 | + | 0.721521i | 0.409742 | + | 0.0589120i | ||||
\(151\) | −18.9904 | − | 12.2044i | −1.54542 | − | 0.993178i | −0.986464 | − | 0.163977i | \(-0.947568\pi\) |
−0.558951 | − | 0.829201i | \(-0.688796\pi\) | |||||||
\(152\) | −6.07684 | − | 7.01305i | −0.492897 | − | 0.568834i | ||||
\(153\) | 1.40058 | + | 3.06685i | 0.113230 | + | 0.247940i | ||||
\(154\) | 10.4885 | + | 16.8142i | 0.845184 | + | 1.35493i | ||||
\(155\) | 0.595475 | − | 2.02800i | 0.0478297 | − | 0.162893i | ||||
\(156\) | 0.449306 | − | 0.518527i | 0.0359733 | − | 0.0415154i | ||||
\(157\) | 17.6017 | − | 5.16833i | 1.40477 | − | 0.412478i | 0.510451 | − | 0.859907i | \(-0.329478\pi\) |
0.894320 | + | 0.447429i | \(0.147660\pi\) | |||||||
\(158\) | 24.2551 | + | 11.0769i | 1.92963 | + | 0.881233i | ||||
\(159\) | 0.852109 | + | 5.92655i | 0.0675767 | + | 0.470006i | ||||
\(160\) | 7.94084 | 0.627778 | ||||||||
\(161\) | −5.02924 | + | 11.6493i | −0.396360 | + | 0.918095i | ||||
\(162\) | −1.75083 | −0.137559 | ||||||||
\(163\) | −1.96677 | − | 13.6792i | −0.154050 | − | 1.07144i | −0.909342 | − | 0.416050i | \(-0.863414\pi\) |
0.755292 | − | 0.655389i | \(-0.227495\pi\) | |||||||
\(164\) | −10.3833 | − | 4.74189i | −0.810799 | − | 0.370279i | ||||
\(165\) | 5.95450 | − | 1.74840i | 0.463558 | − | 0.136113i | ||||
\(166\) | 1.52577 | − | 1.76083i | 0.118423 | − | 0.136667i | ||||
\(167\) | 0.775195 | − | 2.64007i | 0.0599864 | − | 0.204295i | −0.924047 | − | 0.382279i | \(-0.875139\pi\) |
0.984033 | + | 0.177984i | \(0.0569575\pi\) | |||||||
\(168\) | −2.29127 | − | 3.67317i | −0.176776 | − | 0.283392i | ||||
\(169\) | 5.22812 | + | 11.4480i | 0.402163 | + | 0.880614i | ||||
\(170\) | −5.60756 | − | 6.47147i | −0.430080 | − | 0.496339i | ||||
\(171\) | −4.77085 | − | 3.06604i | −0.364836 | − | 0.234466i | ||||
\(172\) | −0.256232 | − | 0.0368405i | −0.0195375 | − | 0.00280906i | ||||
\(173\) | 0.976571 | + | 0.140410i | 0.0742474 | + | 0.0106752i | 0.179338 | − | 0.983787i | \(-0.442604\pi\) |
−0.105091 | + | 0.994463i | \(0.533513\pi\) | |||||||
\(174\) | 0.958299 | − | 1.49114i | 0.0726485 | − | 0.113043i | ||||
\(175\) | 4.93863 | + | 5.85710i | 0.373325 | + | 0.442755i | ||||
\(176\) | −19.4408 | + | 8.87831i | −1.46540 | + | 0.669228i | ||||
\(177\) | −4.25433 | + | 2.73409i | −0.319775 | + | 0.205507i | ||||
\(178\) | −11.5870 | − | 3.40226i | −0.868486 | − | 0.255010i | ||||
\(179\) | 0.839105 | − | 0.968379i | 0.0627177 | − | 0.0723801i | −0.723524 | − | 0.690300i | \(-0.757479\pi\) |
0.786241 | + | 0.617919i | \(0.212024\pi\) | |||||||
\(180\) | 1.48292 | − | 0.435424i | 0.110530 | − | 0.0324546i | ||||
\(181\) | −4.35709 | + | 9.54069i | −0.323860 | + | 0.709154i | −0.999609 | − | 0.0279780i | \(-0.991093\pi\) |
0.675749 | + | 0.737132i | \(0.263820\pi\) | |||||||
\(182\) | 2.95818 | − | 0.384718i | 0.219275 | − | 0.0285172i | ||||
\(183\) | 7.93389i | 0.586490i | ||||||||
\(184\) | −6.74334 | − | 4.01357i | −0.497125 | − | 0.295884i | ||||
\(185\) | 7.91819i | 0.582157i | ||||||||
\(186\) | 0.363052 | + | 2.52508i | 0.0266202 | + | 0.185148i | ||||
\(187\) | 13.1203 | + | 5.99182i | 0.959448 | + | 0.438165i | ||||
\(188\) | −2.86230 | − | 9.74810i | −0.208755 | − | 0.710953i | ||||
\(189\) | −1.97600 | − | 1.75938i | −0.143733 | − | 0.127976i | ||||
\(190\) | 13.8200 | + | 4.05793i | 1.00261 | + | 0.294393i | ||||
\(191\) | −7.12396 | − | 11.0851i | −0.515472 | − | 0.802090i | 0.481771 | − | 0.876297i | \(-0.339994\pi\) |
−0.997243 | + | 0.0742075i | \(0.976357\pi\) | |||||||
\(192\) | 0.370401 | − | 0.169157i | 0.0267314 | − | 0.0122078i | ||||
\(193\) | −2.56259 | − | 2.95739i | −0.184459 | − | 0.212877i | 0.655987 | − | 0.754772i | \(-0.272253\pi\) |
−0.840446 | + | 0.541895i | \(0.817707\pi\) | |||||||
\(194\) | 9.85077 | + | 6.33070i | 0.707244 | + | 0.454518i | ||||
\(195\) | 0.132946 | − | 0.924660i | 0.00952047 | − | 0.0662163i | ||||
\(196\) | −1.25989 | + | 7.35077i | −0.0899919 | + | 0.525055i | ||||
\(197\) | −18.9842 | − | 12.2004i | −1.35257 | − | 0.869244i | −0.354732 | − | 0.934968i | \(-0.615428\pi\) |
−0.997838 | + | 0.0657247i | \(0.979064\pi\) | |||||||
\(198\) | −5.66074 | + | 4.90506i | −0.402291 | + | 0.348587i | ||||
\(199\) | −2.24844 | − | 4.92341i | −0.159388 | − | 0.349011i | 0.813042 | − | 0.582205i | \(-0.197810\pi\) |
−0.972430 | + | 0.233193i | \(0.925082\pi\) | |||||||
\(200\) | −3.98604 | + | 2.56167i | −0.281855 | + | 0.181137i | ||||
\(201\) | −3.70612 | − | 1.08821i | −0.261409 | − | 0.0767567i | ||||
\(202\) | −1.90712 | − | 1.65253i | −0.134185 | − | 0.116272i | ||||
\(203\) | 2.57996 | − | 0.719935i | 0.181078 | − | 0.0505295i | ||||
\(204\) | 3.26749 | + | 1.49221i | 0.228770 | + | 0.104476i | ||||
\(205\) | −15.3836 | + | 2.21183i | −1.07444 | + | 0.154481i | ||||
\(206\) | −24.0731 | −1.67725 | ||||||||
\(207\) | −4.64522 | − | 1.19243i | −0.322865 | − | 0.0828800i | ||||
\(208\) | 3.21714i | 0.223068i | ||||||||
\(209\) | −24.0146 | + | 3.45278i | −1.66113 | + | 0.238834i | ||||
\(210\) | 6.07426 | + | 2.87355i | 0.419164 | + | 0.198294i | ||||
\(211\) | 12.1292 | − | 3.56145i | 0.835008 | − | 0.245180i | 0.163841 | − | 0.986487i | \(-0.447612\pi\) |
0.671167 | + | 0.741306i | \(0.265793\pi\) | |||||||
\(212\) | 4.82109 | + | 4.17749i | 0.331114 | + | 0.286912i | ||||
\(213\) | −4.61818 | + | 15.7281i | −0.316432 | + | 1.07767i | ||||
\(214\) | 1.16351 | + | 1.81045i | 0.0795357 | + | 0.123760i | ||||
\(215\) | −0.320607 | + | 0.146416i | −0.0218652 | + | 0.00998552i | ||||
\(216\) | 1.23663 | − | 1.07154i | 0.0841418 | − | 0.0729093i | ||||
\(217\) | −2.12766 | + | 3.21464i | −0.144435 | + | 0.218224i | ||||
\(218\) | −6.20419 | − | 0.892028i | −0.420201 | − | 0.0604158i | ||||
\(219\) | −0.767965 | + | 5.34131i | −0.0518942 | + | 0.360932i | ||||
\(220\) | 3.57466 | − | 5.56228i | 0.241003 | − | 0.375009i | ||||
\(221\) | 1.64088 | − | 1.42183i | 0.110377 | − | 0.0956425i | ||||
\(222\) | −3.97009 | − | 8.69327i | −0.266455 | − | 0.583454i | ||||
\(223\) | −11.3708 | − | 17.6933i | −0.761443 | − | 1.18483i | −0.978009 | − | 0.208560i | \(-0.933122\pi\) |
0.216567 | − | 0.976268i | \(-0.430514\pi\) | |||||||
\(224\) | −13.8402 | − | 4.26721i | −0.924737 | − | 0.285115i | ||||
\(225\) | −1.89628 | + | 2.18843i | −0.126419 | + | 0.145895i | ||||
\(226\) | −1.81990 | − | 6.19800i | −0.121058 | − | 0.412285i | ||||
\(227\) | 4.14413 | − | 9.07438i | 0.275056 | − | 0.602288i | −0.720809 | − | 0.693133i | \(-0.756230\pi\) |
0.995865 | + | 0.0908455i | \(0.0289570\pi\) | |||||||
\(228\) | −5.98063 | + | 0.859885i | −0.396077 | + | 0.0569473i | ||||
\(229\) | 7.24148 | 0.478531 | 0.239265 | − | 0.970954i | \(-0.423093\pi\) | ||||
0.239265 | + | 0.970954i | \(0.423093\pi\) | |||||||
\(230\) | 12.1733 | − | 0.417994i | 0.802681 | − | 0.0275617i | ||||
\(231\) | −11.3177 | − | 0.152494i | −0.744653 | − | 0.0100334i | ||||
\(232\) | 0.235753 | + | 1.63970i | 0.0154780 | + | 0.107652i | ||||
\(233\) | −11.2999 | + | 24.7434i | −0.740283 | + | 1.62099i | 0.0428051 | + | 0.999083i | \(0.486371\pi\) |
−0.783088 | + | 0.621911i | \(0.786357\pi\) | |||||||
\(234\) | 0.317654 | + | 1.08183i | 0.0207657 | + | 0.0707214i | ||||
\(235\) | −10.4541 | − | 9.05856i | −0.681952 | − | 0.590915i | ||||
\(236\) | −1.51797 | + | 5.16973i | −0.0988113 | + | 0.336521i | ||||
\(237\) | −12.8121 | + | 8.23381i | −0.832232 | + | 0.534843i | ||||
\(238\) | 6.29589 | + | 14.2926i | 0.408102 | + | 0.926451i | ||||
\(239\) | −16.3445 | − | 18.8626i | −1.05724 | − | 1.22012i | −0.974697 | − | 0.223532i | \(-0.928241\pi\) |
−0.0825432 | − | 0.996587i | \(-0.526304\pi\) | |||||||
\(240\) | −3.91797 | + | 6.09647i | −0.252904 | + | 0.393526i | ||||
\(241\) | 2.65362 | − | 18.4564i | 0.170935 | − | 1.18888i | −0.705980 | − | 0.708232i | \(-0.749493\pi\) |
0.876915 | − | 0.480646i | \(-0.159598\pi\) | |||||||
\(242\) | −1.81946 | + | 12.6546i | −0.116959 | + | 0.813468i | ||||
\(243\) | 0.540641 | − | 0.841254i | 0.0346821 | − | 0.0539664i | ||||
\(244\) | 5.53550 | + | 6.38831i | 0.354374 | + | 0.408969i | ||||
\(245\) | 3.96787 | + | 9.34701i | 0.253498 | + | 0.597159i | ||||
\(246\) | 15.7805 | − | 10.1415i | 1.00613 | − | 0.646597i | ||||
\(247\) | −1.02891 | + | 3.50415i | −0.0654680 | + | 0.222963i | ||||
\(248\) | −1.80182 | − | 1.56129i | −0.114416 | − | 0.0991418i | ||||
\(249\) | 0.374915 | + | 1.27684i | 0.0237593 | + | 0.0809166i | ||||
\(250\) | 8.33051 | − | 18.2413i | 0.526868 | − | 1.15368i | ||||
\(251\) | −2.08156 | − | 14.4776i | −0.131387 | − | 0.913818i | −0.943749 | − | 0.330664i | \(-0.892727\pi\) |
0.812362 | − | 0.583154i | \(-0.198182\pi\) | |||||||
\(252\) | −2.81859 | − | 0.0379774i | −0.177554 | − | 0.00239235i | ||||
\(253\) | −18.3595 | + | 9.15851i | −1.15425 | + | 0.575790i | ||||
\(254\) | −11.7107 | −0.734795 | ||||||||
\(255\) | 4.84102 | − | 0.696033i | 0.303156 | − | 0.0435873i | ||||
\(256\) | 8.14310 | − | 17.8309i | 0.508944 | − | 1.11443i | ||||
\(257\) | 8.13365 | + | 27.7007i | 0.507363 | + | 1.72792i | 0.671055 | + | 0.741408i | \(0.265842\pi\) |
−0.163692 | + | 0.986512i | \(0.552340\pi\) | |||||||
\(258\) | 0.278579 | − | 0.321497i | 0.0173436 | − | 0.0200155i | ||||
\(259\) | 4.25505 | − | 13.8007i | 0.264396 | − | 0.857536i | ||||
\(260\) | −0.538091 | − | 0.837287i | −0.0333710 | − | 0.0519263i | ||||
\(261\) | 0.420561 | + | 0.920901i | 0.0260321 | + | 0.0570023i | ||||
\(262\) | 11.9599 | − | 10.3633i | 0.738884 | − | 0.640247i | ||||
\(263\) | −11.3145 | + | 17.6058i | −0.697685 | + | 1.08562i | 0.293860 | + | 0.955849i | \(0.405060\pi\) |
−0.991544 | + | 0.129770i | \(0.958576\pi\) | |||||||
\(264\) | 0.996233 | − | 6.92895i | 0.0613139 | − | 0.426448i | ||||
\(265\) | 8.59717 | + | 1.23609i | 0.528120 | + | 0.0759322i | ||||
\(266\) | −21.9065 | − | 14.4992i | −1.34317 | − | 0.889002i | ||||
\(267\) | 5.21271 | − | 4.51684i | 0.319013 | − | 0.276426i | ||||
\(268\) | −3.74339 | + | 1.70955i | −0.228664 | + | 0.104427i | ||||
\(269\) | −4.10146 | − | 6.38200i | −0.250070 | − | 0.389117i | 0.693411 | − | 0.720542i | \(-0.256107\pi\) |
−0.943482 | + | 0.331425i | \(0.892471\pi\) | |||||||
\(270\) | −0.715543 | + | 2.43692i | −0.0435466 | + | 0.148306i | ||||
\(271\) | 8.25140 | + | 7.14987i | 0.501237 | + | 0.434324i | 0.868423 | − | 0.495823i | \(-0.165134\pi\) |
−0.367187 | + | 0.930147i | \(0.619679\pi\) | |||||||
\(272\) | −16.1609 | + | 4.74528i | −0.979900 | + | 0.287725i | ||||
\(273\) | −0.728604 | + | 1.54016i | −0.0440971 | + | 0.0932149i | ||||
\(274\) | −19.9478 | + | 2.86806i | −1.20509 | + | 0.173266i | ||||
\(275\) | 12.3881i | 0.747029i | ||||||||
\(276\) | −4.57226 | + | 2.28085i | −0.275218 | + | 0.137291i | ||||
\(277\) | 7.36924 | 0.442774 | 0.221387 | − | 0.975186i | \(-0.428942\pi\) | ||||
0.221387 | + | 0.975186i | \(0.428942\pi\) | |||||||
\(278\) | 32.4080 | − | 4.65956i | 1.94370 | − | 0.279462i | ||||
\(279\) | −1.32538 | − | 0.605279i | −0.0793481 | − | 0.0362371i | ||||
\(280\) | −6.04896 | + | 1.68795i | −0.361494 | + | 0.100874i | ||||
\(281\) | −2.23160 | − | 1.93369i | −0.133126 | − | 0.115354i | 0.585753 | − | 0.810490i | \(-0.300799\pi\) |
−0.718879 | + | 0.695135i | \(0.755344\pi\) | |||||||
\(282\) | 16.0193 | + | 4.70369i | 0.953935 | + | 0.280101i | ||||
\(283\) | −11.9621 | + | 7.68757i | −0.711073 | + | 0.456979i | −0.845521 | − | 0.533942i | \(-0.820710\pi\) |
0.134448 | + | 0.990921i | \(0.457074\pi\) | |||||||
\(284\) | 7.25500 | + | 15.8862i | 0.430505 | + | 0.942675i | ||||
\(285\) | −6.21728 | + | 5.38730i | −0.368280 | + | 0.319116i | ||||
\(286\) | 4.05783 | + | 2.60781i | 0.239945 | + | 0.154203i | ||||
\(287\) | 28.0009 | + | 4.41175i | 1.65284 | + | 0.260417i | ||||
\(288\) | 0.779045 | − | 5.41838i | 0.0459057 | − | 0.319281i | ||||
\(289\) | −4.73863 | − | 3.04534i | −0.278743 | − | 0.179137i | ||||
\(290\) | −1.68382 | − | 1.94323i | −0.0988772 | − | 0.114110i | ||||
\(291\) | −6.08364 | + | 2.77831i | −0.356629 | + | 0.162867i | ||||
\(292\) | 3.10829 | + | 4.83659i | 0.181899 | + | 0.283040i | ||||
\(293\) | 8.38257 | + | 2.46134i | 0.489715 | + | 0.143793i | 0.517262 | − | 0.855827i | \(-0.326951\pi\) |
−0.0275468 | + | 0.999621i | \(0.508770\pi\) | |||||||
\(294\) | −9.04275 | − | 8.27251i | −0.527384 | − | 0.482463i | ||||
\(295\) | 2.06678 | + | 7.03881i | 0.120333 | + | 0.409816i | ||||
\(296\) | 8.12454 | + | 3.71035i | 0.472229 | + | 0.215660i | ||||
\(297\) | −0.608836 | − | 4.23455i | −0.0353283 | − | 0.245713i | ||||
\(298\) | 36.3690i | 2.10680i | ||||||||
\(299\) | 0.105985 | + | 3.08660i | 0.00612925 | + | 0.178502i | ||||
\(300\) | 3.08515i | 0.178121i | ||||||||
\(301\) | 0.637472 | − | 0.0829047i | 0.0367433 | − | 0.00477855i | ||||
\(302\) | 16.4185 | − | 35.9515i | 0.944780 | − | 2.06878i | ||||
\(303\) | 1.38292 | − | 0.406063i | 0.0794468 | − | 0.0233277i | ||||
\(304\) | 18.5531 | − | 21.4114i | 1.06409 | − | 1.22803i | ||||
\(305\) | 11.0429 | + | 3.24248i | 0.632312 | + | 0.185664i | ||||
\(306\) | −4.96590 | + | 3.19139i | −0.283882 | + | 0.182440i | ||||
\(307\) | −14.0136 | + | 6.39978i | −0.799796 | + | 0.365254i | −0.773016 | − | 0.634387i | \(-0.781253\pi\) |
−0.0267800 | + | 0.999641i | \(0.508525\pi\) | |||||||
\(308\) | −9.21936 | + | 7.77364i | −0.525322 | + | 0.442944i | ||||
\(309\) | 7.43355 | − | 11.5668i | 0.422880 | − | 0.658014i | ||||
\(310\) | 3.66293 | + | 0.526650i | 0.208041 | + | 0.0299117i | ||||
\(311\) | 25.9383 | + | 3.72936i | 1.47082 | + | 0.211473i | 0.830666 | − | 0.556770i | \(-0.187960\pi\) |
0.640158 | + | 0.768243i | \(0.278869\pi\) | |||||||
\(312\) | −0.886460 | − | 0.569693i | −0.0501859 | − | 0.0322525i | ||||
\(313\) | 3.80853 | + | 4.39528i | 0.215271 | + | 0.248436i | 0.853107 | − | 0.521737i | \(-0.174716\pi\) |
−0.637836 | + | 0.770172i | \(0.720170\pi\) | |||||||
\(314\) | 13.3426 | + | 29.2162i | 0.752967 | + | 1.64877i | ||||
\(315\) | −3.25638 | + | 2.03128i | −0.183476 | + | 0.114450i | ||||
\(316\) | −4.57141 | + | 15.5688i | −0.257162 | + | 0.875814i | ||||
\(317\) | −7.73726 | + | 8.92928i | −0.434568 | + | 0.501518i | −0.930220 | − | 0.367003i | \(-0.880384\pi\) |
0.495652 | + | 0.868521i | \(0.334929\pi\) | |||||||
\(318\) | −10.0585 | + | 2.95343i | −0.564051 | + | 0.165620i | ||||
\(319\) | 3.93970 | + | 1.79920i | 0.220581 | + | 0.100736i | ||||
\(320\) | −0.0840641 | − | 0.584679i | −0.00469933 | − | 0.0326845i | ||||
\(321\) | −1.22918 | −0.0686061 | ||||||||
\(322\) | −21.4416 | − | 5.81309i | −1.19489 | − | 0.323951i | ||||
\(323\) | −19.1203 | −1.06388 | ||||||||
\(324\) | −0.151625 | − | 1.05458i | −0.00842363 | − | 0.0585877i | ||||
\(325\) | 1.69626 | + | 0.774654i | 0.0940913 | + | 0.0429701i | ||||
\(326\) | 23.2162 | − | 6.81689i | 1.28583 | − | 0.377553i | ||||
\(327\) | 2.34440 | − | 2.70559i | 0.129646 | − | 0.149619i | ||||
\(328\) | −4.93907 | + | 16.8209i | −0.272714 | + | 0.928780i | ||||
\(329\) | 13.3528 | + | 21.4061i | 0.736164 | + | 1.18016i | ||||
\(330\) | 4.51368 | + | 9.88359i | 0.248470 | + | 0.544074i | ||||
\(331\) | −8.30520 | − | 9.58472i | −0.456495 | − | 0.526824i | 0.480111 | − | 0.877208i | \(-0.340596\pi\) |
−0.936606 | + | 0.350384i | \(0.886051\pi\) | |||||||
\(332\) | 1.19274 | + | 0.766524i | 0.0654599 | + | 0.0420685i | ||||
\(333\) | 5.40293 | + | 0.776824i | 0.296079 | + | 0.0425697i | ||||
\(334\) | 4.76844 | + | 0.685598i | 0.260917 | + | 0.0375142i | ||||
\(335\) | −3.02928 | + | 4.71365i | −0.165507 | + | 0.257534i | ||||
\(336\) | 10.1048 | − | 8.52021i | 0.551261 | − | 0.464816i | ||||
\(337\) | −0.976839 | + | 0.446108i | −0.0532118 | + | 0.0243010i | −0.441843 | − | 0.897092i | \(-0.645675\pi\) |
0.388631 | + | 0.921393i | \(0.372948\pi\) | |||||||
\(338\) | −18.5368 | + | 11.9129i | −1.00827 | + | 0.647976i | ||||
\(339\) | 3.54002 | + | 1.03944i | 0.192268 | + | 0.0564549i | ||||
\(340\) | 3.41233 | − | 3.93804i | 0.185059 | − | 0.213570i | ||||
\(341\) | −5.98088 | + | 1.75614i | −0.323883 | + | 0.0951006i | ||||
\(342\) | 4.12473 | − | 9.03191i | 0.223040 | − | 0.488390i | ||||
\(343\) | −1.89280 | − | 18.4233i | −0.102202 | − | 0.994764i | ||||
\(344\) | 0.397571i | 0.0214356i | ||||||||
\(345\) | −3.55814 | + | 5.97817i | −0.191564 | + | 0.321854i | ||||
\(346\) | 1.72740i | 0.0928655i | ||||||||
\(347\) | 0.764596 | + | 5.31788i | 0.0410456 | + | 0.285479i | 0.999998 | + | 0.00191205i | \(0.000608626\pi\) |
−0.958953 | + | 0.283567i | \(0.908482\pi\) | |||||||
\(348\) | 0.981148 | + | 0.448075i | 0.0525951 | + | 0.0240194i | ||||
\(349\) | −8.55513 | − | 29.1361i | −0.457946 | − | 1.55962i | −0.788011 | − | 0.615661i | \(-0.788889\pi\) |
0.330065 | − | 0.943958i | \(-0.392929\pi\) | |||||||
\(350\) | −8.91987 | + | 10.0181i | −0.476787 | + | 0.535491i | ||||
\(351\) | −0.617893 | − | 0.181430i | −0.0329807 | − | 0.00968401i | ||||
\(352\) | −12.6611 | − | 19.7011i | −0.674839 | − | 1.05007i | ||||
\(353\) | −0.709932 | + | 0.324215i | −0.0377859 | + | 0.0172562i | −0.434218 | − | 0.900808i | \(-0.642975\pi\) |
0.396432 | + | 0.918064i | \(0.370248\pi\) | |||||||
\(354\) | −5.79827 | − | 6.69156i | −0.308174 | − | 0.355652i | ||||
\(355\) | 20.0039 | + | 12.8557i | 1.06170 | + | 0.682310i | ||||
\(356\) | 1.04582 | − | 7.27385i | 0.0554284 | − | 0.385513i | ||||
\(357\) | −8.81151 | − | 1.38832i | −0.466355 | − | 0.0734777i | ||||
\(358\) | 1.88729 | + | 1.21289i | 0.0997466 | + | 0.0641033i | ||||
\(359\) | 16.3227 | − | 14.1437i | 0.861479 | − | 0.746476i | −0.107346 | − | 0.994222i | \(-0.534235\pi\) |
0.968825 | + | 0.247746i | \(0.0796898\pi\) | |||||||
\(360\) | −0.986044 | − | 2.15914i | −0.0519691 | − | 0.113796i | ||||
\(361\) | 11.0722 | − | 7.11568i | 0.582748 | − | 0.374509i | ||||
\(362\) | −17.6198 | − | 5.17364i | −0.926076 | − | 0.271921i | ||||
\(363\) | −5.51854 | − | 4.78184i | −0.289648 | − | 0.250982i | ||||
\(364\) | 0.487910 | + | 1.74848i | 0.0255734 | + | 0.0916451i | ||||
\(365\) | 7.12050 | + | 3.25182i | 0.372704 | + | 0.170208i | ||||
\(366\) | −13.7495 | + | 1.97689i | −0.718700 | + | 0.103333i | ||||
\(367\) | 22.8047 | 1.19040 | 0.595198 | − | 0.803579i | \(-0.297074\pi\) | ||||
0.595198 | + | 0.803579i | \(0.297074\pi\) | |||||||
\(368\) | 9.19903 | − | 22.1222i | 0.479532 | − | 1.15320i | ||||
\(369\) | 10.7139i | 0.557743i | ||||||||
\(370\) | −13.7223 | + | 1.97297i | −0.713390 | + | 0.102570i | ||||
\(371\) | −14.3199 | − | 6.77431i | −0.743452 | − | 0.351705i | ||||
\(372\) | −1.48949 | + | 0.437353i | −0.0772263 | + | 0.0226757i | ||||
\(373\) | 21.0360 | + | 18.2278i | 1.08920 | + | 0.943799i | 0.998642 | − | 0.0520916i | \(-0.0165888\pi\) |
0.0905602 | + | 0.995891i | \(0.471134\pi\) | |||||||
\(374\) | −7.11473 | + | 24.2306i | −0.367894 | + | 1.25293i | ||||
\(375\) | 6.19232 | + | 9.63543i | 0.319770 | + | 0.497572i | ||||
\(376\) | −14.1933 | + | 6.48185i | −0.731963 | + | 0.334276i | ||||
\(377\) | 0.492716 | − | 0.426941i | 0.0253762 | − | 0.0219886i | ||||
\(378\) | 2.55667 | − | 3.86282i | 0.131501 | − | 0.198682i | ||||
\(379\) | 33.8906 | + | 4.87273i | 1.74084 | + | 0.250295i | 0.938182 | − | 0.346143i | \(-0.112509\pi\) |
0.802659 | + | 0.596438i | \(0.203418\pi\) | |||||||
\(380\) | −1.24737 | + | 8.67563i | −0.0639886 | + | 0.445050i | ||||
\(381\) | 3.61615 | − | 5.62684i | 0.185261 | − | 0.288272i | ||||
\(382\) | 17.4356 | − | 15.1080i | 0.892081 | − | 0.772992i | ||||
\(383\) | 10.5026 | + | 22.9974i | 0.536656 | + | 1.17511i | 0.962740 | + | 0.270430i | \(0.0871657\pi\) |
−0.426083 | + | 0.904684i | \(0.640107\pi\) | |||||||
\(384\) | 6.30448 | + | 9.80997i | 0.321724 | + | 0.500613i | ||||
\(385\) | −4.83766 | + | 15.6904i | −0.246550 | + | 0.799656i | ||||
\(386\) | 4.48667 | − | 5.17789i | 0.228365 | − | 0.263548i | ||||
\(387\) | 0.0684528 | + | 0.233129i | 0.00347965 | + | 0.0118506i | ||||
\(388\) | −2.96007 | + | 6.48165i | −0.150275 | + | 0.329056i | ||||
\(389\) | −16.7978 | + | 2.41516i | −0.851682 | + | 0.122453i | −0.554312 | − | 0.832309i | \(-0.687019\pi\) |
−0.297370 | + | 0.954762i | \(0.596110\pi\) | |||||||
\(390\) | 1.63558 | 0.0828206 | ||||||||
\(391\) | −15.3488 | + | 5.08513i | −0.776224 | + | 0.257166i | ||||
\(392\) | 11.4499 | + | 0.308606i | 0.578306 | + | 0.0155869i | ||||
\(393\) | 1.28633 | + | 8.94665i | 0.0648870 | + | 0.451299i | ||||
\(394\) | 16.4132 | − | 35.9399i | 0.826885 | − | 1.81063i | ||||
\(395\) | 6.22418 | + | 21.1976i | 0.313173 | + | 1.06657i | ||||
\(396\) | −3.44469 | − | 2.98484i | −0.173102 | − | 0.149994i | ||||
\(397\) | 6.24256 | − | 21.2602i | 0.313305 | − | 1.06702i | −0.640840 | − | 0.767674i | \(-0.721414\pi\) |
0.954145 | − | 0.299345i | \(-0.0967680\pi\) | |||||||
\(398\) | 7.97209 | − | 5.12335i | 0.399605 | − | 0.256810i | ||||
\(399\) | 13.7312 | − | 6.04859i | 0.687419 | − | 0.302808i | ||||
\(400\) | −9.47329 | − | 10.9328i | −0.473665 | − | 0.546638i | ||||
\(401\) | 8.62873 | − | 13.4266i | 0.430898 | − | 0.670491i | −0.556120 | − | 0.831102i | \(-0.687710\pi\) |
0.987018 | + | 0.160612i | \(0.0513467\pi\) | |||||||
\(402\) | 0.962437 | − | 6.69390i | 0.0480020 | − | 0.333861i | ||||
\(403\) | −0.133535 | + | 0.928756i | −0.00665185 | + | 0.0462646i | ||||
\(404\) | 0.830207 | − | 1.29183i | 0.0413044 | − | 0.0642708i | ||||
\(405\) | −0.949954 | − | 1.09631i | −0.0472036 | − | 0.0544759i | ||||
\(406\) | 1.89051 | + | 4.29172i | 0.0938242 | + | 0.212995i | ||||
\(407\) | 19.6449 | − | 12.6250i | 0.973761 | − | 0.625798i | ||||
\(408\) | 1.55426 | − | 5.29333i | 0.0769474 | − | 0.262059i | ||||
\(409\) | −13.8812 | − | 12.0282i | −0.686383 | − | 0.594754i | 0.240255 | − | 0.970710i | \(-0.422769\pi\) |
−0.926638 | + | 0.375956i | \(0.877314\pi\) | |||||||
\(410\) | −7.66626 | − | 26.1089i | −0.378609 | − | 1.28943i | ||||
\(411\) | 4.78162 | − | 10.4703i | 0.235860 | − | 0.516461i | ||||
\(412\) | −2.08478 | − | 14.4999i | −0.102709 | − | 0.714360i | ||||
\(413\) | 0.180264 | − | 13.3787i | 0.00887019 | − | 0.658322i | ||||
\(414\) | 0.909057 | − | 8.34735i | 0.0446777 | − | 0.410250i | ||||
\(415\) | 1.93041 | 0.0947600 | ||||||||
\(416\) | −3.48932 | + | 0.501689i | −0.171078 | + | 0.0245973i | ||||
\(417\) | −7.76841 | + | 17.0104i | −0.380421 | + | 0.833005i | ||||
\(418\) | −11.9674 | − | 40.7573i | −0.585346 | − | 1.99351i | ||||
\(419\) | −25.2639 | + | 29.1561i | −1.23422 | + | 1.42437i | −0.364223 | + | 0.931312i | \(0.618665\pi\) |
−0.869998 | + | 0.493055i | \(0.835880\pi\) | |||||||
\(420\) | −1.20478 | + | 3.90756i | −0.0587872 | + | 0.190669i | ||||
\(421\) | 8.11211 | + | 12.6227i | 0.395360 | + | 0.615193i | 0.980682 | − | 0.195608i | \(-0.0626682\pi\) |
−0.585322 | + | 0.810801i | \(0.699032\pi\) | |||||||
\(422\) | 9.19427 | + | 20.1326i | 0.447570 | + | 0.980042i | ||||
\(423\) | −7.20667 | + | 6.24461i | −0.350400 | + | 0.303623i | ||||
\(424\) | 5.29681 | − | 8.24200i | 0.257236 | − | 0.400267i | ||||
\(425\) | −1.38941 | + | 9.66356i | −0.0673963 | + | 0.468751i | ||||
\(426\) | −28.4077 | − | 4.08441i | −1.37636 | − | 0.197890i | ||||
\(427\) | −17.5043 | − | 11.5855i | −0.847094 | − | 0.560663i | ||||
\(428\) | −0.989726 | + | 0.857602i | −0.0478402 | + | 0.0414538i | ||||
\(429\) | −2.50604 | + | 1.14447i | −0.120993 | + | 0.0552555i | ||||
\(430\) | −0.333627 | − | 0.519134i | −0.0160889 | − | 0.0250349i | ||||
\(431\) | −4.87681 | + | 16.6089i | −0.234908 | + | 0.800022i | 0.754680 | + | 0.656093i | \(0.227792\pi\) |
−0.989588 | + | 0.143929i | \(0.954026\pi\) | |||||||
\(432\) | 3.77551 | + | 3.27150i | 0.181649 | + | 0.157400i | ||||
\(433\) | 6.84574 | − | 2.01009i | 0.328985 | − | 0.0965988i | −0.113069 | − | 0.993587i | \(-0.536068\pi\) |
0.442054 | + | 0.896988i | \(0.354250\pi\) | |||||||
\(434\) | −6.10117 | − | 2.88628i | −0.292865 | − | 0.138546i | ||||
\(435\) | 1.45364 | − | 0.209002i | 0.0696968 | − | 0.0100209i | ||||
\(436\) | − | 3.81421i | − | 0.182668i | ||||||
\(437\) | 17.0949 | − | 21.1538i | 0.817758 | − | 1.01192i | ||||
\(438\) | −9.44792 | −0.451439 | ||||||||
\(439\) | 31.8093 | − | 4.57348i | 1.51817 | − | 0.218280i | 0.667753 | − | 0.744383i | \(-0.267256\pi\) |
0.850421 | + | 0.526103i | \(0.176347\pi\) | |||||||
\(440\) | −9.23698 | − | 4.21839i | −0.440356 | − | 0.201104i | ||||
\(441\) | 6.76715 | − | 1.79045i | 0.322245 | − | 0.0852596i | ||||
\(442\) | 2.87290 | + | 2.48939i | 0.136650 | + | 0.118408i | ||||
\(443\) | −0.357814 | − | 0.105064i | −0.0170003 | − | 0.00499173i | 0.273221 | − | 0.961951i | \(-0.411911\pi\) |
−0.290222 | + | 0.956959i | \(0.593729\pi\) | |||||||
\(444\) | 4.89239 | − | 3.14415i | 0.232183 | − | 0.149215i | ||||
\(445\) | −4.15644 | − | 9.10133i | −0.197034 | − | 0.431445i | ||||
\(446\) | 27.8294 | − | 24.1143i | 1.31776 | − | 1.14185i | ||||
\(447\) | −17.4748 | − | 11.2304i | −0.826531 | − | 0.531179i | ||||
\(448\) | −0.167676 | + | 1.06422i | −0.00792193 | + | 0.0502796i | ||||
\(449\) | −3.68759 | + | 25.6478i | −0.174028 | + | 1.21039i | 0.696238 | + | 0.717811i | \(0.254856\pi\) |
−0.870266 | + | 0.492582i | \(0.836053\pi\) | |||||||
\(450\) | −4.26507 | − | 2.74099i | −0.201057 | − | 0.129212i | ||||
\(451\) | 30.0156 | + | 34.6398i | 1.41338 | + | 1.63113i | ||||
\(452\) | 3.57562 | − | 1.63293i | 0.168183 | − | 0.0768067i | ||||
\(453\) | 12.2044 | + | 18.9904i | 0.573412 | + | 0.892246i | ||||
\(454\) | 16.7586 | + | 4.92077i | 0.786521 | + | 0.230943i | ||||
\(455\) | 1.84592 | + | 1.64356i | 0.0865380 | + | 0.0770512i | ||||
\(456\) | 2.61436 | + | 8.90371i | 0.122429 | + | 0.416954i | ||||
\(457\) | 14.4616 | + | 6.60440i | 0.676486 | + | 0.308941i | 0.723870 | − | 0.689936i | \(-0.242361\pi\) |
−0.0473846 | + | 0.998877i | \(0.515089\pi\) | |||||||
\(458\) | 1.80436 | + | 12.5496i | 0.0843121 | + | 0.586404i | ||||
\(459\) | − | 3.37152i | − | 0.157369i | ||||||
\(460\) | 1.30600 | + | 7.29610i | 0.0608924 | + | 0.340183i | ||||
\(461\) | − | 10.9991i | − | 0.512277i | −0.966640 | − | 0.256139i | \(-0.917550\pi\) | ||
0.966640 | − | 0.256139i | \(-0.0824504\pi\) | |||||||
\(462\) | −2.55576 | − | 19.6518i | −0.118905 | − | 0.914284i | ||||
\(463\) | −10.3529 | + | 22.6696i | −0.481139 | + | 1.05355i | 0.501010 | + | 0.865442i | \(0.332962\pi\) |
−0.982149 | + | 0.188106i | \(0.939765\pi\) | |||||||
\(464\) | −4.85274 | + | 1.42489i | −0.225283 | + | 0.0661490i | ||||
\(465\) | −1.38413 | + | 1.59737i | −0.0641873 | + | 0.0740761i | ||||
\(466\) | −45.6963 | − | 13.4176i | −2.11684 | − | 0.621560i | ||||
\(467\) | 20.8776 | − | 13.4172i | 0.966098 | − | 0.620874i | 0.0404191 | − | 0.999183i | \(-0.487131\pi\) |
0.925679 | + | 0.378309i | \(0.123494\pi\) | |||||||
\(468\) | −0.624107 | + | 0.285020i | −0.0288494 | + | 0.0131751i | ||||
\(469\) | 7.81278 | − | 6.58763i | 0.360761 | − | 0.304189i | ||||
\(470\) | 13.0938 | − | 20.3743i | 0.603970 | − | 0.939795i | ||||
\(471\) | −18.1581 | − | 2.61074i | −0.836681 | − | 0.120297i | ||||
\(472\) | 8.19071 | + | 1.17765i | 0.377008 | + | 0.0542055i | ||||
\(473\) | 0.874442 | + | 0.561970i | 0.0402069 | + | 0.0258394i | ||||
\(474\) | −17.4617 | − | 20.1518i | −0.802041 | − | 0.925605i | ||||
\(475\) | −6.82189 | − | 14.9379i | −0.313010 | − | 0.685396i | ||||
\(476\) | −8.06360 | + | 5.02996i | −0.369595 | + | 0.230548i | ||||
\(477\) | 1.68687 | − | 5.74496i | 0.0772366 | − | 0.263044i | ||||
\(478\) | 28.6166 | − | 33.0253i | 1.30889 | − | 1.51054i | ||||
\(479\) | −31.7749 | + | 9.32994i | −1.45183 | + | 0.426296i | −0.910146 | − | 0.414287i | \(-0.864031\pi\) |
−0.541684 | + | 0.840582i | \(0.682213\pi\) | |||||||
\(480\) | −7.22324 | − | 3.29874i | −0.329694 | − | 0.150566i | ||||
\(481\) | −0.500259 | − | 3.47937i | −0.0228098 | − | 0.158646i | ||||
\(482\) | 32.6463 | 1.48700 | ||||||||
\(483\) | 9.41406 | − | 8.50737i | 0.428355 | − | 0.387099i | ||||
\(484\) | −7.77979 | −0.353627 | ||||||||
\(485\) | 1.38071 | + | 9.60304i | 0.0626947 | + | 0.436051i | ||||
\(486\) | 1.59262 | + | 0.727323i | 0.0722425 | + | 0.0329920i | ||||
\(487\) | 23.8293 | − | 6.99693i | 1.07981 | − | 0.317061i | 0.307008 | − | 0.951707i | \(-0.400672\pi\) |
0.772803 | + | 0.634646i | \(0.218854\pi\) | |||||||
\(488\) | 8.50150 | − | 9.81125i | 0.384845 | − | 0.444135i | ||||
\(489\) | −3.89351 | + | 13.2601i | −0.176071 | + | 0.599642i | ||||
\(490\) | −15.2098 | + | 9.20537i | −0.687110 | + | 0.415856i | ||||
\(491\) | −6.82832 | − | 14.9519i | −0.308158 | − | 0.674771i | 0.690670 | − | 0.723170i | \(-0.257316\pi\) |
−0.998828 | + | 0.0483984i | \(0.984588\pi\) | |||||||
\(492\) | 7.47512 | + | 8.62675i | 0.337004 | + | 0.388924i | ||||
\(493\) | 2.87144 | + | 1.84537i | 0.129323 | + | 0.0831111i | ||||
\(494\) | −6.32911 | − | 0.909988i | −0.284760 | − | 0.0409423i | ||||
\(495\) | −6.14272 | − | 0.883190i | −0.276095 | − | 0.0396964i | ||||
\(496\) | 3.93532 | − | 6.12348i | 0.176701 | − | 0.274952i | ||||
\(497\) | −27.9567 | − | 33.1560i | −1.25403 | − | 1.48725i | ||||
\(498\) | −2.11937 | + | 0.967883i | −0.0949711 | + | 0.0433719i | ||||
\(499\) | −9.42766 | + | 6.05879i | −0.422040 | + | 0.271229i | −0.734376 | − | 0.678743i | \(-0.762525\pi\) |
0.312336 | + | 0.949972i | \(0.398889\pi\) | |||||||
\(500\) | 11.7087 | + | 3.43798i | 0.523628 | + | 0.153751i | ||||
\(501\) | −1.80187 | + | 2.07947i | −0.0805015 | + | 0.0929037i | ||||
\(502\) | 24.5712 | − | 7.21476i | 1.09667 | − | 0.322010i | ||||
\(503\) | −3.44939 | + | 7.55311i | −0.153801 | + | 0.336777i | −0.970811 | − | 0.239847i | \(-0.922903\pi\) |
0.817010 | + | 0.576624i | \(0.195630\pi\) | |||||||
\(504\) | 0.558324 | + | 4.29307i | 0.0248697 | + | 0.191228i | ||||
\(505\) | − | 2.09079i | − | 0.0930388i | ||||||
\(506\) | −20.4464 | − | 29.5352i | −0.908955 | − | 1.31300i | ||||
\(507\) | − | 12.5853i | − | 0.558932i | ||||||
\(508\) | −1.01417 | − | 7.05369i | −0.0449964 | − | 0.312957i | ||||
\(509\) | −20.9577 | − | 9.57105i | −0.928933 | − | 0.424229i | −0.107287 | − | 0.994228i | \(-0.534216\pi\) |
−0.821646 | + | 0.569999i | \(0.806944\pi\) | |||||||
\(510\) | 2.41247 | + | 8.21612i | 0.106826 | + | 0.363816i | ||||
\(511\) | −10.6630 | − | 9.49403i | −0.471702 | − | 0.419991i | ||||
\(512\) | 10.5527 | + | 3.09854i | 0.466366 | + | 0.136937i | ||||
\(513\) | 3.06604 | + | 4.77085i | 0.135369 | + | 0.210638i | ||||
\(514\) | −45.9790 | + | 20.9979i | −2.02804 | + | 0.926177i | ||||
\(515\) | −13.0614 | − | 15.0737i | −0.575554 | − | 0.664225i | ||||
\(516\) | 0.217772 | + | 0.139954i | 0.00958689 | + | 0.00616112i | ||||
\(517\) | −5.80573 | + | 40.3797i | −0.255336 | + | 1.77590i | ||||
\(518\) | 24.9771 | + | 3.93533i | 1.09743 | + | 0.172908i | ||||
\(519\) | −0.829992 | − | 0.533404i | −0.0364326 | − | 0.0234138i | ||||
\(520\) | −1.15522 | + | 1.00100i | −0.0506597 | + | 0.0438968i | ||||
\(521\) | 3.02606 | + | 6.62614i | 0.132574 | + | 0.290297i | 0.964264 | − | 0.264944i | \(-0.0853535\pi\) |
−0.831690 | + | 0.555241i | \(0.812626\pi\) | |||||||
\(522\) | −1.49114 | + | 0.958299i | −0.0652655 | + | 0.0419436i | ||||
\(523\) | −34.5271 | − | 10.1381i | −1.50977 | − | 0.443307i | −0.580978 | − | 0.813919i | \(-0.697330\pi\) |
−0.928788 | + | 0.370612i | \(0.879148\pi\) | |||||||
\(524\) | 7.27786 | + | 6.30630i | 0.317935 | + | 0.275492i | ||||
\(525\) | −2.05921 | − | 7.37938i | −0.0898711 | − | 0.322063i | ||||
\(526\) | −33.3303 | − | 15.2214i | −1.45327 | − | 0.663686i | ||||
\(527\) | −4.86246 | + | 0.699117i | −0.211812 | + | 0.0304540i | ||||
\(528\) | 21.3722 | 0.930104 | ||||||||
\(529\) | 8.09697 | − | 21.5276i | 0.352042 | − | 0.935984i | ||||
\(530\) | 15.2070i | 0.660551i | ||||||||
\(531\) | 5.00565 | − | 0.719704i | 0.217227 | − | 0.0312325i | ||||
\(532\) | 6.83613 | − | 14.4506i | 0.296384 | − | 0.626512i | ||||
\(533\) | 6.62005 | − | 1.94382i | 0.286746 | − | 0.0841962i | ||||
\(534\) | 9.12659 | + | 7.90824i | 0.394946 | + | 0.342223i | ||||
\(535\) | −0.502349 | + | 1.71085i | −0.0217185 | + | 0.0739663i | ||||
\(536\) | 3.41701 | + | 5.31697i | 0.147592 | + | 0.229658i | ||||
\(537\) | −1.16556 | + | 0.532292i | −0.0502975 | + | 0.0229701i | ||||
\(538\) | 10.0381 | − | 8.69809i | 0.432774 | − | 0.375001i | ||||
\(539\) | 16.8633 | − | 24.7474i | 0.726352 | − | 1.06594i | ||||
\(540\) | −1.52979 | − | 0.219951i | −0.0658318 | − | 0.00946518i | ||||
\(541\) | −2.70557 | + | 18.8177i | −0.116322 | + | 0.809034i | 0.845229 | + | 0.534405i | \(0.179464\pi\) |
−0.961550 | + | 0.274629i | \(0.911445\pi\) | |||||||
\(542\) | −10.3348 | + | 16.0813i | −0.443919 | + | 0.690752i | ||||
\(543\) | 7.92669 | − | 6.86852i | 0.340167 | − | 0.294756i | ||||
\(544\) | −7.66692 | − | 16.7882i | −0.328717 | − | 0.719789i | ||||
\(545\) | −2.80767 | − | 4.36882i | −0.120267 | − | 0.187140i | ||||
\(546\) | −2.85067 | − | 0.878919i | −0.121997 | − | 0.0376143i | ||||
\(547\) | −0.516558 | + | 0.596140i | −0.0220864 | + | 0.0254891i | −0.766685 | − | 0.642023i | \(-0.778095\pi\) |
0.744599 | + | 0.667512i | \(0.232641\pi\) | |||||||
\(548\) | −3.45503 | − | 11.7667i | −0.147592 | − | 0.502651i | ||||
\(549\) | 3.29586 | − | 7.21692i | 0.140664 | − | 0.308011i | ||||
\(550\) | −21.4687 | + | 3.08674i | −0.915429 | + | 0.131619i | ||||
\(551\) | −5.74137 | −0.244591 | ||||||||
\(552\) | 4.46666 | + | 6.45215i | 0.190114 | + | 0.274622i | ||||
\(553\) | 0.542870 | − | 40.2904i | 0.0230852 | − | 1.71332i | ||||
\(554\) | 1.83619 | + | 12.7710i | 0.0780123 | + | 0.542587i | ||||
\(555\) | 3.28934 | − | 7.20264i | 0.139625 | − | 0.305735i | ||||
\(556\) | 5.61318 | + | 19.1167i | 0.238052 | + | 0.810730i | ||||
\(557\) | −1.34739 | − | 1.16752i | −0.0570906 | − | 0.0494693i | 0.625848 | − | 0.779945i | \(-0.284753\pi\) |
−0.682939 | + | 0.730476i | \(0.739298\pi\) | |||||||
\(558\) | 0.718713 | − | 2.44771i | 0.0304255 | − | 0.103620i | ||||
\(559\) | 0.131629 | − | 0.0845930i | 0.00556733 | − | 0.00357790i | ||||
\(560\) | −7.72925 | − | 17.5465i | −0.326620 | − | 0.741476i | ||||
\(561\) | −9.44551 | − | 10.9007i | −0.398790 | − | 0.460228i | ||||
\(562\) | 2.79507 | − | 4.34921i | 0.117903 | − | 0.183460i | ||||
\(563\) | 4.32521 | − | 30.0825i | 0.182286 | − | 1.26783i | −0.669055 | − | 0.743213i | \(-0.733301\pi\) |
0.851341 | − | 0.524613i | \(-0.175790\pi\) | |||||||
\(564\) | −1.44587 | + | 10.0562i | −0.0608820 | + | 0.423444i | ||||
\(565\) | 2.89352 | − | 4.50241i | 0.121731 | − | 0.189418i | ||||
\(566\) | −16.3033 | − | 18.8150i | −0.685277 | − | 0.790852i | ||||
\(567\) | 1.06656 | + | 2.42125i | 0.0447913 | + | 0.101683i | ||||
\(568\) | 22.5643 | − | 14.5012i | 0.946775 | − | 0.608456i | ||||
\(569\) | −4.78037 | + | 16.2805i | −0.200404 | + | 0.682512i | 0.796554 | + | 0.604567i | \(0.206654\pi\) |
−0.996958 | + | 0.0779449i | \(0.975164\pi\) | |||||||
\(570\) | −10.8854 | − | 9.43227i | −0.455940 | − | 0.395074i | ||||
\(571\) | 2.57295 | + | 8.76265i | 0.107674 | + | 0.366705i | 0.995649 | − | 0.0931881i | \(-0.0297058\pi\) |
−0.887974 | + | 0.459893i | \(0.847888\pi\) | |||||||
\(572\) | −1.21934 | + | 2.66999i | −0.0509833 | + | 0.111638i | ||||
\(573\) | 1.87527 | + | 13.0428i | 0.0783404 | + | 0.544869i | ||||
\(574\) | −0.668646 | + | 49.6252i | −0.0279088 | + | 2.07132i | ||||
\(575\) | −9.44906 | − | 10.1771i | −0.394053 | − | 0.424412i | ||||
\(576\) | −0.407199 | −0.0169666 | ||||||||
\(577\) | −8.28649 | + | 1.19142i | −0.344971 | + | 0.0495994i | −0.312623 | − | 0.949877i | \(-0.601208\pi\) |
−0.0323481 | + | 0.999477i | \(0.510299\pi\) | |||||||
\(578\) | 4.09688 | − | 8.97092i | 0.170408 | − | 0.373141i | ||||
\(579\) | 1.10247 | + | 3.75467i | 0.0458171 | + | 0.156039i | ||||
\(580\) | 1.02464 | − | 1.18250i | 0.0425459 | − | 0.0491006i | ||||
\(581\) | −3.36454 | − | 1.03735i | −0.139584 | − | 0.0430367i | ||||
\(582\) | −6.33070 | − | 9.85077i | −0.262416 | − | 0.408327i | ||||
\(583\) | −10.6409 | − | 23.3003i | −0.440700 | − | 0.964999i | ||||
\(584\) | 6.67313 | − | 5.78230i | 0.276136 | − | 0.239273i | ||||
\(585\) | −0.505050 | + | 0.785873i | −0.0208812 | + | 0.0324918i | ||||
\(586\) | −2.17686 | + | 15.1404i | −0.0899253 | + | 0.625444i | ||||
\(587\) | −28.6078 | − | 4.11318i | −1.18077 | − | 0.169769i | −0.476157 | − | 0.879360i | \(-0.657971\pi\) |
−0.704613 | + | 0.709591i | \(0.748880\pi\) | |||||||
\(588\) | 4.19965 | − | 6.16312i | 0.173191 | − | 0.254163i | ||||
\(589\) | 6.24482 | − | 5.41116i | 0.257313 | − | 0.222963i | ||||
\(590\) | −11.6834 | + | 5.33562i | −0.480997 | + | 0.219664i | ||||
\(591\) | 12.2004 | + | 18.9842i | 0.501858 | + | 0.780906i | ||||
\(592\) | −7.68259 | + | 26.1645i | −0.315752 | + | 1.07535i | ||||
\(593\) | 17.2049 | + | 14.9081i | 0.706519 | + | 0.612202i | 0.932176 | − | 0.362005i | \(-0.117908\pi\) |
−0.225658 | + | 0.974207i | \(0.572453\pi\) | |||||||
\(594\) | 7.18683 | − | 2.11024i | 0.294879 | − | 0.0865843i | ||||
\(595\) | −5.53350 | + | 11.6970i | −0.226851 | + | 0.479530i | ||||
\(596\) | −21.9061 | + | 3.14962i | −0.897308 | + | 0.129013i | ||||
\(597\) | 5.41253i | 0.221520i | ||||||||
\(598\) | −5.32271 | + | 0.952759i | −0.217662 | + | 0.0389612i | ||||
\(599\) | −1.67618 | −0.0684869 | −0.0342434 | − | 0.999414i | \(-0.510902\pi\) | ||||
−0.0342434 | + | 0.999414i | \(0.510902\pi\) | |||||||
\(600\) | 4.68998 | − | 0.674318i | 0.191468 | − | 0.0275289i | ||||
\(601\) | −1.18356 | − | 0.540514i | −0.0482784 | − | 0.0220480i | 0.391129 | − | 0.920336i | \(-0.372084\pi\) |
−0.439408 | + | 0.898288i | \(0.644812\pi\) | |||||||
\(602\) | 0.302514 | + | 1.08409i | 0.0123295 | + | 0.0441842i | ||||
\(603\) | 2.91914 | + | 2.52945i | 0.118877 | + | 0.103007i | ||||
\(604\) | 23.0765 | + | 6.77588i | 0.938970 | + | 0.275707i | ||||
\(605\) | −8.91101 | + | 5.72676i | −0.362284 | + | 0.232826i | ||||
\(606\) | 1.04829 | + | 2.29545i | 0.0425841 | + | 0.0932461i | ||||
\(607\) | −19.5103 | + | 16.9058i | −0.791900 | + | 0.686185i | −0.953740 | − | 0.300632i | \(-0.902802\pi\) |
0.161840 | + | 0.986817i | \(0.448257\pi\) | |||||||
\(608\) | 26.1161 | + | 16.7838i | 1.05915 | + | 0.680672i | ||||
\(609\) | −2.64589 | − | 0.416879i | −0.107217 | − | 0.0168928i | ||||
\(610\) | −2.86771 | + | 19.9454i | −0.116110 | + | 0.807564i | ||||
\(611\) | 5.16601 | + | 3.31999i | 0.208994 | + | 0.134313i | ||||
\(612\) | −2.35232 | − | 2.71473i | −0.0950870 | − | 0.109736i | ||||
\(613\) | −6.60590 | + | 3.01681i | −0.266810 | + | 0.121848i | −0.544328 | − | 0.838872i | \(-0.683215\pi\) |
0.277518 | + | 0.960720i | \(0.410488\pi\) | |||||||
\(614\) | −14.5827 | − | 22.6911i | −0.588508 | − | 0.915736i | ||||
\(615\) | 14.9122 | + | 4.37863i | 0.601320 | + | 0.176563i | ||||
\(616\) | 13.8324 | + | 12.3160i | 0.557324 | + | 0.496227i | ||||
\(617\) | 13.5051 | + | 45.9940i | 0.543693 | + | 1.85165i | 0.523792 | + | 0.851846i | \(0.324517\pi\) |
0.0199010 | + | 0.999802i | \(0.493665\pi\) | |||||||
\(618\) | 21.8977 | + | 10.0003i | 0.880854 | + | 0.402273i | ||||
\(619\) | 3.61778 | + | 25.1622i | 0.145411 | + | 1.01136i | 0.923609 | + | 0.383337i | \(0.125225\pi\) |
−0.778198 | + | 0.628019i | \(0.783866\pi\) | |||||||
\(620\) | 2.25190i | 0.0904384i | ||||||||
\(621\) | 3.73009 | + | 3.01437i | 0.149683 | + | 0.120963i | ||||
\(622\) | 45.8806i | 1.83965i | ||||||||
\(623\) | 2.35348 | + | 18.0964i | 0.0942903 | + | 0.725018i | ||||
\(624\) | 1.33645 | − | 2.92641i | 0.0535007 | − | 0.117150i | ||||
\(625\) | 2.04986 | − | 0.601894i | 0.0819945 | − | 0.0240758i | ||||
\(626\) | −6.66811 | + | 7.69541i | −0.266511 | + | 0.307570i | ||||
\(627\) | 23.2788 | + | 6.83527i | 0.929666 | + | 0.272974i | ||||
\(628\) | −16.4423 | + | 10.5668i | −0.656119 | + | 0.421662i | ||||
\(629\) | 16.7403 | − | 7.64506i | 0.667481 | − | 0.304829i | ||||
\(630\) | −4.33163 | − | 5.13721i | −0.172576 | − | 0.204671i | ||||
\(631\) | −16.5871 | + | 25.8100i | −0.660320 | + | 1.02748i | 0.336008 | + | 0.941859i | \(0.390923\pi\) |
−0.996328 | + | 0.0856191i | \(0.972713\pi\) | |||||||
\(632\) | 24.6666 | + | 3.54652i | 0.981184 | + | 0.141073i | ||||
\(633\) | −12.5126 | − | 1.79904i | −0.497330 | − | 0.0715053i | ||||
\(634\) | −17.4025 | − | 11.1839i | −0.691140 | − | 0.444169i | ||||
\(635\) | −6.35390 | − | 7.33279i | −0.252147 | − | 0.290993i | ||||
\(636\) | −2.65002 | − | 5.80273i | −0.105080 | − | 0.230093i | ||||
\(637\) | −2.33407 | − | 3.85653i | −0.0924792 | − | 0.152801i | ||||
\(638\) | −2.13639 | + | 7.27586i | −0.0845803 | + | 0.288054i | ||||
\(639\) | 10.7345 | − | 12.3883i | 0.424651 | − | 0.490073i | ||||
\(640\) | 16.2307 | − | 4.76575i | 0.641573 | − | 0.188383i | ||||
\(641\) | −24.0599 | − | 10.9878i | −0.950308 | − | 0.433991i | −0.120919 | − | 0.992662i | \(-0.538584\pi\) |
−0.829389 | + | 0.558671i | \(0.811311\pi\) | |||||||
\(642\) | −0.306274 | − | 2.13018i | −0.0120877 | − | 0.0840717i | ||||
\(643\) | −7.35411 | −0.290018 | −0.145009 | − | 0.989430i | \(-0.546321\pi\) | ||||
−0.145009 | + | 0.989430i | \(0.546321\pi\) | |||||||
\(644\) | 1.64451 | − | 13.4183i | 0.0648028 | − | 0.528755i | ||||
\(645\) | 0.352458 | 0.0138780 | ||||||||
\(646\) | −4.76420 | − | 33.1358i | −0.187445 | − | 1.30371i | ||||
\(647\) | 0.612007 | + | 0.279494i | 0.0240605 | + | 0.0109880i | 0.427409 | − | 0.904058i | \(-0.359426\pi\) |
−0.403348 | + | 0.915046i | \(0.632154\pi\) | |||||||
\(648\) | −1.57001 | + | 0.460996i | −0.0616758 | + | 0.0181097i | ||||
\(649\) | 14.1678 | − | 16.3505i | 0.556136 | − | 0.641815i | ||||
\(650\) | −0.919831 | + | 3.13266i | −0.0360787 | + | 0.122873i | ||||
\(651\) | 3.27080 | − | 2.04028i | 0.128193 | − | 0.0799648i | ||||
\(652\) | 6.11658 | + | 13.3934i | 0.239544 | + | 0.524527i | ||||
\(653\) | 3.35217 | + | 3.86861i | 0.131181 | + | 0.151391i | 0.817540 | − | 0.575872i | \(-0.195338\pi\) |
−0.686359 | + | 0.727263i | \(0.740792\pi\) | |||||||
\(654\) | 5.27297 | + | 3.38873i | 0.206189 | + | 0.132510i | ||||
\(655\) | 12.9782 | + | 1.86598i | 0.507100 | + | 0.0729100i | ||||
\(656\) | −52.9788 | − | 7.61721i | −2.06848 | − | 0.297402i | ||||
\(657\) | 2.91743 | − | 4.53960i | 0.113820 | − | 0.177107i | ||||
\(658\) | −33.7699 | + | 28.4744i | −1.31649 | + | 1.11005i | ||||
\(659\) | 12.0470 | − | 5.50166i | 0.469283 | − | 0.214314i | −0.166715 | − | 0.986005i | \(-0.553316\pi\) |
0.635998 | + | 0.771691i | \(0.280589\pi\) | |||||||
\(660\) | −5.56228 | + | 3.57466i | −0.216511 | + | 0.139143i | ||||
\(661\) | 40.0187 | + | 11.7506i | 1.55655 | + | 0.457044i | 0.943050 | − | 0.332652i | \(-0.107943\pi\) |
0.613499 | + | 0.789696i | \(0.289762\pi\) | |||||||
\(662\) | 14.5410 | − | 16.7813i | 0.565154 | − | 0.652222i | ||||
\(663\) | −2.08324 | + | 0.611695i | −0.0809064 | + | 0.0237563i | ||||
\(664\) | 0.904562 | − | 1.98071i | 0.0351038 | − | 0.0768666i | ||||
\(665\) | −2.80703 | − | 21.5839i | −0.108852 | − | 0.836986i | ||||
\(666\) | 9.55691i | 0.370323i | ||||||||
\(667\) | −4.60889 | + | 1.52694i | −0.178457 | + | 0.0591234i | ||||
\(668\) | 2.93154i | 0.113425i | ||||||||
\(669\) | 2.99317 | + | 20.8179i | 0.115723 | + | 0.804868i | ||||
\(670\) | −8.92363 | − | 4.07529i | −0.344750 | − | 0.157442i | ||||
\(671\) | −9.56254 | − | 32.5670i | −0.369158 | − | 1.25724i | ||||
\(672\) | 10.8168 | + | 9.63102i | 0.417268 | + | 0.371525i | ||||
\(673\) | 32.0631 | + | 9.41457i | 1.23594 | + | 0.362905i | 0.833489 | − | 0.552536i | \(-0.186340\pi\) |
0.402452 | + | 0.915441i | \(0.368158\pi\) | |||||||
\(674\) | −1.01651 | − | 1.58172i | −0.0391545 | − | 0.0609256i | ||||
\(675\) | 2.63402 | − | 1.20292i | 0.101384 | − | 0.0463003i | ||||
\(676\) | −8.78080 | − | 10.1336i | −0.337723 | − | 0.389753i | ||||
\(677\) | −22.9860 | − | 14.7722i | −0.883423 | − | 0.567741i | 0.0184079 | − | 0.999831i | \(-0.494140\pi\) |
−0.901831 | + | 0.432089i | \(0.857777\pi\) | |||||||
\(678\) | −0.919305 | + | 6.39391i | −0.0353057 | + | 0.245557i | ||||
\(679\) | 2.75398 | − | 17.4792i | 0.105688 | − | 0.670791i | ||||
\(680\) | −6.73236 | − | 4.32663i | −0.258174 | − | 0.165919i | ||||
\(681\) | −7.53927 | + | 6.53281i | −0.288905 | + | 0.250338i | ||||
\(682\) | −4.53368 | − | 9.92737i | −0.173603 | − | 0.380139i | ||||
\(683\) | −9.37917 | + | 6.02763i | −0.358884 | + | 0.230641i | −0.707641 | − | 0.706573i | \(-0.750240\pi\) |
0.348756 | + | 0.937213i | \(0.386604\pi\) | |||||||
\(684\) | 5.79739 | + | 1.70227i | 0.221669 | + | 0.0650878i | ||||
\(685\) | −12.6190 | − | 10.9344i | −0.482147 | − | 0.417782i | ||||
\(686\) | 31.4562 | − | 7.87077i | 1.20100 | − | 0.300507i | ||||
\(687\) | −6.58708 | − | 3.00822i | −0.251313 | − | 0.114771i | ||||
\(688\) | −1.20146 | + | 0.172744i | −0.0458052 | + | 0.00658579i | ||||
\(689\) | −3.85582 | −0.146895 | ||||||||
\(690\) | −11.2468 | − | 4.67673i | −0.428159 | − | 0.178040i | ||||
\(691\) | 30.1286i | 1.14615i | 0.819505 | + | 0.573073i | \(0.194249\pi\) | ||||
−0.819505 | + | 0.573073i | \(0.805751\pi\) | |||||||
\(692\) | −1.04046 | + | 0.149596i | −0.0395524 | + | 0.00568678i | ||||
\(693\) | 10.2316 | + | 4.84027i | 0.388668 | + | 0.183867i | ||||
\(694\) | −9.02544 | + | 2.65011i | −0.342601 | + | 0.100597i | ||||
\(695\) | 20.5013 | + | 17.7645i | 0.777659 | + | 0.673845i | ||||
\(696\) | 0.466708 | − | 1.58946i | 0.0176905 | − | 0.0602483i | ||||
\(697\) | 19.5291 | + | 30.3879i | 0.739718 | + | 1.15102i | ||||
\(698\) | 48.3616 | − | 22.0860i | 1.83051 | − | 0.835967i | ||||
\(699\) | 20.5576 | − | 17.8132i | 0.777558 | − | 0.673758i | ||||
\(700\) | −6.80668 | − | 4.50511i | −0.257268 | − | 0.170277i | ||||
\(701\) | −26.7322 | − | 3.84352i | −1.00966 | − | 0.145168i | −0.382418 | − | 0.923990i | \(-0.624908\pi\) |
−0.627245 | + | 0.778822i | \(0.715818\pi\) | |||||||
\(702\) | 0.160460 | − | 1.11602i | 0.00605618 | − | 0.0421216i | ||||
\(703\) | −16.7359 | + | 26.0416i | −0.631208 | + | 0.982178i | ||||
\(704\) | −1.31654 | + | 1.14079i | −0.0496191 | + | 0.0429952i | ||||
\(705\) | 5.74635 | + | 12.5828i | 0.216420 | + | 0.473894i | ||||
\(706\) | −0.738763 | − | 1.14954i | −0.0278037 | − | 0.0432634i | ||||
\(707\) | −1.12354 | + | 3.64406i | −0.0422550 | + | 0.137049i | ||||
\(708\) | 3.52838 | − | 4.07196i | 0.132604 | − | 0.153034i | ||||
\(709\) | −8.90032 | − | 30.3117i | −0.334259 | − | 1.13838i | −0.939560 | − | 0.342384i | \(-0.888766\pi\) |
0.605302 | − | 0.795996i | \(-0.293053\pi\) | |||||||
\(710\) | −17.2948 | + | 37.8703i | −0.649061 | + | 1.42125i | ||||
\(711\) | 15.0747 | − | 2.16741i | 0.565345 | − | 0.0812844i | ||||
\(712\) | −11.2862 | −0.422967 | ||||||||
\(713\) | 3.57390 | − | 6.00465i | 0.133844 | − | 0.224876i | ||||
\(714\) | 0.210414 | − | 15.6164i | 0.00787456 | − | 0.584429i | ||||
\(715\) | 0.568756 | + | 3.95578i | 0.0212703 | + | 0.147938i | ||||
\(716\) | −0.567116 | + | 1.24181i | −0.0211941 | + | 0.0464086i | ||||
\(717\) | 7.03170 | + | 23.9478i | 0.262604 | + | 0.894346i | ||||
\(718\) | 28.5784 | + | 24.7633i | 1.06653 | + | 0.924157i | ||||
\(719\) | 7.98611 | − | 27.1982i | 0.297832 | − | 1.01432i | −0.665587 | − | 0.746320i | \(-0.731819\pi\) |
0.963419 | − | 0.268001i | \(-0.0863632\pi\) | |||||||
\(720\) | 6.09647 | − | 3.91797i | 0.227202 | − | 0.146014i | ||||
\(721\) | 14.6647 | + | 33.2910i | 0.546142 | + | 1.23982i | ||||
\(722\) | 15.0904 | + | 17.4153i | 0.561608 | + | 0.648130i | ||||
\(723\) | −10.0809 | + | 15.6861i | −0.374911 | + | 0.583374i | ||||
\(724\) | 1.59033 | − | 11.0610i | 0.0591040 | − | 0.411077i | ||||
\(725\) | −0.417207 | + | 2.90174i | −0.0154947 | + | 0.107768i | ||||
\(726\) | 6.91195 | − | 10.7552i | 0.256526 | − | 0.399163i | ||||
\(727\) | 30.0121 | + | 34.6358i | 1.11309 | + | 1.28457i | 0.954823 | + | 0.297174i | \(0.0960441\pi\) |
0.158263 | + | 0.987397i | \(0.449410\pi\) | |||||||
\(728\) | 2.55136 | − | 1.12387i | 0.0945597 | − | 0.0416536i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −3.86124 | + | 13.1502i | −0.142911 | + | 0.486710i | ||||
\(731\) | 0.619096 | + | 0.536450i | 0.0228981 | + | 0.0198413i | ||||
\(732\) | −2.38147 | − | 8.11054i | −0.0880216 | − | 0.299774i | ||||
\(733\) | −5.13364 | + | 11.2411i | −0.189615 | + | 0.415199i | −0.980433 | − | 0.196852i | \(-0.936928\pi\) |
0.790818 | + | 0.612051i | \(0.209655\pi\) | |||||||
\(734\) | 5.68224 | + | 39.5209i | 0.209735 | + | 1.45874i | ||||
\(735\) | 0.273588 | − | 10.1507i | 0.0100914 | − | 0.374412i | ||||
\(736\) | 25.4284 | + | 6.52751i | 0.937304 | + | 0.240607i | ||||
\(737\) | 16.5245 | 0.608686 | ||||||||
\(738\) | −18.5673 | + | 2.66958i | −0.683473 | + | 0.0982686i | ||||
\(739\) | −7.30753 | + | 16.0013i | −0.268812 | + | 0.588616i | −0.995111 | − | 0.0987629i | \(-0.968511\pi\) |
0.726299 | + | 0.687379i | \(0.241239\pi\) | |||||||
\(740\) | −2.37676 | − | 8.09449i | −0.0873714 | − | 0.297560i | ||||
\(741\) | 2.39160 | − | 2.76006i | 0.0878578 | − | 0.101393i | ||||
\(742\) | 8.17188 | − | 26.5045i | 0.299999 | − | 0.973012i | ||||
\(743\) | 11.3653 | + | 17.6848i | 0.416954 | + | 0.648793i | 0.984669 | − | 0.174432i | \(-0.0558089\pi\) |
−0.567715 | + | 0.823225i | \(0.692173\pi\) | |||||||
\(744\) | 0.990412 | + | 2.16870i | 0.0363103 | + | 0.0795084i | ||||
\(745\) | −22.7729 | + | 19.7328i | −0.834333 | + | 0.722954i | ||||
\(746\) | −26.3475 | + | 40.9975i | −0.964650 | + | 1.50102i | ||||
\(747\) | 0.189385 | − | 1.31720i | 0.00692923 | − | 0.0481939i | ||||
\(748\) | −15.2109 | − | 2.18700i | −0.556166 | − | 0.0799646i | ||||
\(749\) | 1.79492 | − | 2.71191i | 0.0655849 | − | 0.0990909i | ||||
\(750\) | −15.1554 | + | 13.1322i | −0.553397 | + | 0.479521i | ||||
\(751\) | −19.0553 | + | 8.70224i | −0.695336 | + | 0.317549i | −0.731543 | − | 0.681795i | \(-0.761200\pi\) |
0.0362072 | + | 0.999344i | \(0.488472\pi\) | |||||||
\(752\) | −25.7551 | − | 40.0757i | −0.939192 | − | 1.46141i | ||||
\(753\) | −4.12075 | + | 14.0340i | −0.150169 | + | 0.511427i | ||||
\(754\) | 0.862665 | + | 0.747503i | 0.0314164 | + | 0.0272225i | ||||
\(755\) | 31.4197 | − | 9.22566i | 1.14348 | − | 0.335756i | ||||
\(756\) | 2.54810 | + | 1.20543i | 0.0926735 | + | 0.0438410i | ||||
\(757\) | −24.6354 | + | 3.54203i | −0.895388 | + | 0.128737i | −0.574620 | − | 0.818420i | \(-0.694850\pi\) |
−0.320768 | + | 0.947158i | \(0.603941\pi\) | |||||||
\(758\) | 59.9469i | 2.17737i | ||||||||
\(759\) | 20.5049 | − | 0.704079i | 0.744282 | − | 0.0255564i | ||||
\(760\) | 13.4612 | 0.488288 | ||||||||
\(761\) | 5.17784 | − | 0.744461i | 0.187697 | − | 0.0269867i | −0.0478254 | − | 0.998856i | \(-0.515229\pi\) |
0.235522 | + | 0.971869i | \(0.424320\pi\) | |||||||
\(762\) | 10.6524 | + | 4.86480i | 0.385897 | + | 0.176233i | ||||
\(763\) | 2.54583 | + | 9.12325i | 0.0921652 | + | 0.330284i | ||||
\(764\) | 10.6099 | + | 9.19355i | 0.383854 | + | 0.332611i | ||||
\(765\) | −4.69269 | − | 1.37790i | −0.169665 | − | 0.0498180i | ||||
\(766\) | −37.2379 | + | 23.9314i | −1.34546 | + | 0.864675i | ||||
\(767\) | −1.35288 | − | 2.96239i | −0.0488495 | − | 0.106966i | ||||
\(768\) | −14.8144 | + | 12.8368i | −0.534570 | + | 0.463208i | ||||
\(769\) | 20.5975 | + | 13.2372i | 0.742764 | + | 0.477346i | 0.856488 | − | 0.516167i | \(-0.172642\pi\) |
−0.113724 | + | 0.993512i | \(0.536278\pi\) | |||||||
\(770\) | −28.3971 | − | 4.47417i | −1.02336 | − | 0.161238i | ||||
\(771\) | 4.10864 | − | 28.5762i | 0.147969 | − | 1.02915i | ||||
\(772\) | 3.50735 | + | 2.25403i | 0.126232 | + | 0.0811245i | ||||
\(773\) | −4.49022 | − | 5.18199i | −0.161502 | − | 0.186383i | 0.669231 | − | 0.743055i | \(-0.266624\pi\) |
−0.830733 | + | 0.556671i | \(0.812078\pi\) | |||||||
\(774\) | −0.386959 | + | 0.176718i | −0.0139090 | + | 0.00635201i | ||||
\(775\) | −2.28106 | − | 3.54939i | −0.0819379 | − | 0.127498i | ||||
\(776\) | 10.5003 | + | 3.08316i | 0.376938 | + | 0.110679i | ||||
\(777\) | −9.60356 | + | 10.7860i | −0.344526 | + | 0.386945i | ||||
\(778\) | −8.37101 | − | 28.5090i | −0.300115 | − | 1.02210i | ||||
\(779\) | −55.2690 | − | 25.2405i | −1.98022 | − | 0.904335i | ||||
\(780\) | 0.141644 | + | 0.985154i | 0.00507166 | + | 0.0352742i | ||||
\(781\) | − | 70.1268i | − | 2.50933i | ||||||
\(782\) | −12.6371 | − | 25.3327i | −0.451900 | − | 0.905894i | ||||
\(783\) | − | 1.01239i | − | 0.0361798i | ||||||
\(784\) | 4.04234 | + | 34.7356i | 0.144369 | + | 1.24056i | ||||
\(785\) | −11.0548 | + | 24.2066i | −0.394561 | + | 0.863969i | ||||
\(786\) | −15.1842 | + | 4.45847i | −0.541601 | + | 0.159028i | ||||
\(787\) | −35.9371 | + | 41.4737i | −1.28102 | + | 1.47838i | −0.483163 | + | 0.875530i | \(0.660512\pi\) |
−0.797858 | + | 0.602846i | \(0.794033\pi\) | |||||||
\(788\) | 23.0690 | + | 6.77368i | 0.821800 | + | 0.241302i | ||||
\(789\) | 17.6058 | − | 11.3145i | 0.626782 | − | 0.402808i | ||||
\(790\) | −35.1849 | + | 16.0684i | −1.25182 | + | 0.571688i | ||||
\(791\) | −7.46265 | + | 6.29240i | −0.265341 | + | 0.223732i | ||||
\(792\) | −3.78460 | + | 5.88895i | −0.134480 | + | 0.209255i | ||||
\(793\) | −5.05725 | − | 0.727123i | −0.179588 | − | 0.0258209i | ||||
\(794\) | 38.3997 | + | 5.52104i | 1.36275 | + | 0.195934i | ||||
\(795\) | −7.30677 | − | 4.69578i | −0.259145 | − | 0.166542i | ||||
\(796\) | 3.77634 | + | 4.35813i | 0.133849 | + | 0.154470i | ||||
\(797\) | −3.30049 | − | 7.22706i | −0.116909 | − | 0.255995i | 0.842127 | − | 0.539280i | \(-0.181303\pi\) |
−0.959036 | + | 0.283284i | \(0.908576\pi\) | |||||||
\(798\) | 13.9037 | + | 22.2892i | 0.492185 | + | 0.789029i | ||||
\(799\) | −9.05774 | + | 30.8478i | −0.320440 | + | 1.09132i | ||||
\(800\) | 10.3804 | − | 11.9797i | 0.367004 | − | 0.423545i | ||||
\(801\) | −6.61801 | + | 1.94322i | −0.233836 | + | 0.0686604i | ||||
\(802\) | 25.4184 | + | 11.6082i | 0.897556 | + | 0.409900i | ||||
\(803\) | −3.28542 | − | 22.8506i | −0.115940 | − | 0.806381i | ||||
\(804\) | 4.11528 | 0.145135 | ||||||||
\(805\) | −7.99367 | − | 16.5799i | −0.281740 | − | 0.584365i | ||||
\(806\) | −1.64282 | −0.0578659 | ||||||||
\(807\) | 1.07964 | + | 7.50908i | 0.0380052 | + | 0.264332i | ||||
\(808\) | −2.14527 | − | 0.979713i | −0.0754704 | − | 0.0344662i | ||||
\(809\) | 2.13112 | − | 0.625753i | 0.0749262 | − | 0.0220003i | −0.244055 | − | 0.969761i | \(-0.578478\pi\) |
0.318981 | + | 0.947761i | \(0.396659\pi\) | |||||||
\(810\) | 1.66321 | − | 1.91945i | 0.0584393 | − | 0.0674426i | ||||
\(811\) | 9.73660 | − | 33.1598i | 0.341898 | − | 1.16440i | −0.591724 | − | 0.806140i | \(-0.701553\pi\) |
0.933623 | − | 0.358258i | \(-0.116629\pi\) | |||||||
\(812\) | −2.42131 | + | 1.51038i | −0.0849712 | + | 0.0530038i | ||||
\(813\) | −4.53557 | − | 9.93151i | −0.159069 | − | 0.348313i | ||||
\(814\) | 26.7742 | + | 30.8991i | 0.938436 | + | 1.08301i | ||||
\(815\) | 16.8649 | + | 10.8384i | 0.590753 | + | 0.379654i | ||||
\(816\) | 16.6718 | + | 2.39704i | 0.583628 | + | 0.0839130i | ||||
\(817\) | −1.36389 | − | 0.196098i | −0.0477165 | − | 0.00686059i | ||||
\(818\) | 17.3862 | − | 27.0534i | 0.607894 | − | 0.945901i | ||||
\(819\) | 1.30257 | − | 1.09831i | 0.0455154 | − | 0.0383780i | ||||
\(820\) | 15.0622 | − | 6.87868i | 0.525995 | − | 0.240214i | ||||
\(821\) | 31.0618 | − | 19.9622i | 1.08406 | − | 0.696686i | 0.128571 | − | 0.991700i | \(-0.458961\pi\) |
0.955493 | + | 0.295014i | \(0.0953245\pi\) | |||||||
\(822\) | 19.3366 | + | 5.67773i | 0.674441 | + | 0.198034i | ||||
\(823\) | 18.7576 | − | 21.6475i | 0.653850 | − | 0.754583i | −0.327910 | − | 0.944709i | \(-0.606344\pi\) |
0.981760 | + | 0.190126i | \(0.0608897\pi\) | |||||||
\(824\) | −21.5869 | + | 6.33848i | −0.752014 | + | 0.220811i | ||||
\(825\) | 5.14619 | − | 11.2686i | 0.179167 | − | 0.392322i | ||||
\(826\) | 23.2304 | − | 3.02117i | 0.808288 | − | 0.105120i | ||||
\(827\) | 20.1465i | 0.700561i | 0.936645 | + | 0.350281i | \(0.113914\pi\) | ||||
−0.936645 | + | 0.350281i | \(0.886086\pi\) | |||||||
\(828\) | 5.10658 | − | 0.175345i | 0.177466 | − | 0.00609365i | ||||
\(829\) | − | 46.7925i | − | 1.62517i | −0.582842 | − | 0.812585i | \(-0.698060\pi\) | ||
0.582842 | − | 0.812585i | \(-0.301940\pi\) | |||||||
\(830\) | 0.480999 | + | 3.34542i | 0.0166957 | + | 0.116121i | ||||
\(831\) | −6.70329 | − | 3.06129i | −0.232535 | − | 0.106195i | ||||
\(832\) | 0.0738781 | + | 0.251606i | 0.00256126 | + | 0.00872285i | ||||
\(833\) | 15.9301 | − | 17.4133i | 0.551945 | − | 0.603336i | ||||
\(834\) | −31.4150 | − | 9.22427i | −1.08781 | − | 0.319410i | ||||
\(835\) | 2.15793 | + | 3.35780i | 0.0746781 | + | 0.116201i | ||||
\(836\) | 23.5129 | − | 10.7380i | 0.813211 | − | 0.371381i | ||||
\(837\) | 0.954162 | + | 1.10116i | 0.0329807 | + | 0.0380617i | ||||
\(838\) | −56.8229 | − | 36.5178i | −1.96291 | − | 1.26149i | ||||
\(839\) | 5.50143 | − | 38.2633i | 0.189931 | − | 1.32100i | −0.642252 | − | 0.766494i | \(-0.722000\pi\) |
0.832182 | − | 0.554502i | \(-0.187091\pi\) | |||||||
\(840\) | 6.20352 | + | 0.977412i | 0.214042 | + | 0.0337239i | ||||
\(841\) | −23.5341 | − | 15.1245i | −0.811522 | − | 0.521533i | ||||
\(842\) | −19.8540 | + | 17.2036i | −0.684214 | + | 0.592875i | ||||
\(843\) | 1.22665 | + | 2.68599i | 0.0422480 | + | 0.0925103i | ||||
\(844\) | −11.3302 | + | 7.28150i | −0.390003 | + | 0.250639i | ||||
\(845\) | −17.5170 | − | 5.14344i | −0.602602 | − | 0.176940i | ||||
\(846\) | −12.6177 | − | 10.9333i | −0.433805 | − | 0.375894i | ||||
\(847\) | 18.6086 | − | 5.19269i | 0.639397 | − | 0.178423i | ||||
\(848\) | 27.2088 | + | 12.4258i | 0.934353 | + | 0.426705i | ||||
\(849\) | 14.0746 | − | 2.02363i | 0.483040 | − | 0.0694507i | ||||
\(850\) | −17.0933 | −0.586294 | ||||||||
\(851\) | −6.50889 | + | 25.3559i | −0.223122 | + | 0.869189i | ||||
\(852\) | − | 17.4645i | − | 0.598323i | ||||||
\(853\) | −20.5946 | + | 2.96106i | −0.705146 | + | 0.101385i | −0.485554 | − | 0.874207i | \(-0.661382\pi\) |
−0.219593 | + | 0.975592i | \(0.570473\pi\) | |||||||
\(854\) | 15.7163 | − | 33.2220i | 0.537802 | − | 1.13683i | ||||
\(855\) | 7.89340 | − | 2.31771i | 0.269949 | − | 0.0792640i | ||||
\(856\) | 1.52004 | + | 1.31712i | 0.0519537 | + | 0.0450182i | ||||
\(857\) | −3.99073 | + | 13.5912i | −0.136321 | + | 0.464266i | −0.999150 | − | 0.0412300i | \(-0.986872\pi\) |
0.862829 | + | 0.505496i | \(0.168691\pi\) | |||||||
\(858\) | −2.60781 | − | 4.05783i | −0.0890292 | − | 0.138532i | ||||
\(859\) | −52.9894 | + | 24.1995i | −1.80798 | + | 0.825675i | −0.857784 | + | 0.514011i | \(0.828159\pi\) |
−0.950192 | + | 0.311664i | \(0.899114\pi\) | |||||||
\(860\) | 0.283797 | − | 0.245911i | 0.00967739 | − | 0.00838550i | ||||
\(861\) | −23.6378 | − | 15.6451i | −0.805574 | − | 0.533182i | ||||
\(862\) | −29.9986 | − | 4.31314i | −1.02176 | − | 0.146906i | ||||
\(863\) | 5.29662 | − | 36.8388i | 0.180299 | − | 1.25401i | −0.675757 | − | 0.737125i | \(-0.736183\pi\) |
0.856056 | − | 0.516883i | \(-0.172908\pi\) | |||||||
\(864\) | −2.95952 | + | 4.60510i | −0.100685 | + | 0.156669i | ||||
\(865\) | −1.08163 | + | 0.937238i | −0.0367765 | + | 0.0318670i | ||||
\(866\) | 5.18927 | + | 11.3629i | 0.176338 | + | 0.386127i | ||||
\(867\) | 3.04534 | + | 4.73863i | 0.103425 | + | 0.160932i | ||||
\(868\) | 1.21012 | − | 3.92486i | 0.0410740 | − | 0.133219i | ||||
\(869\) | 42.6669 | − | 49.2402i | 1.44737 | − | 1.67036i | ||||
\(870\) | 0.724408 | + | 2.46711i | 0.0245597 | + | 0.0836427i | ||||
\(871\) | 1.03331 | − | 2.26264i | 0.0350124 | − | 0.0766665i | ||||
\(872\) | −5.79830 | + | 0.833670i | −0.196355 | + | 0.0282316i | ||||
\(873\) | 6.68803 | 0.226355 | ||||||||
\(874\) | 40.9193 | + | 24.3547i | 1.38412 | + | 0.823812i | ||||
\(875\) | −30.3008 | − | 0.408271i | −1.02435 | − | 0.0138021i | ||||
\(876\) | −0.818207 | − | 5.69075i | −0.0276446 | − | 0.192273i | ||||
\(877\) | −16.0741 | + | 35.1973i | −0.542783 | + | 1.18853i | 0.417288 | + | 0.908774i | \(0.362981\pi\) |
−0.960071 | + | 0.279755i | \(0.909747\pi\) | |||||||
\(878\) | 15.8518 | + | 53.9863i | 0.534973 | + | 1.82195i | ||||
\(879\) | −6.60257 | − | 5.72116i | −0.222699 | − | 0.192970i | ||||
\(880\) | 8.73452 | − | 29.7470i | 0.294441 | − | 1.00277i | ||||
\(881\) | 30.2326 | − | 19.4293i | 1.01856 | − | 0.654589i | 0.0789656 | − | 0.996877i | \(-0.474838\pi\) |
0.939595 | + | 0.342288i | \(0.111202\pi\) | |||||||
\(882\) | 4.78904 | + | 11.2814i | 0.161256 | + | 0.379866i | ||||
\(883\) | −22.5942 | − | 26.0751i | −0.760356 | − | 0.877497i | 0.235173 | − | 0.971953i | \(-0.424434\pi\) |
−0.995529 | + | 0.0944562i | \(0.969889\pi\) | |||||||
\(884\) | −1.25063 | + | 1.94602i | −0.0420632 | + | 0.0654517i | ||||
\(885\) | 1.04402 | − | 7.26130i | 0.0350943 | − | 0.244086i | ||||
\(886\) | 0.0929204 | − | 0.646275i | 0.00312172 | − | 0.0217120i | ||||
\(887\) | 12.2123 | − | 19.0027i | 0.410048 | − | 0.638047i | −0.573392 | − | 0.819281i | \(-0.694373\pi\) |
0.983440 | + | 0.181234i | \(0.0580092\pi\) | |||||||
\(888\) | −5.84901 | − | 6.75011i | −0.196280 | − | 0.226519i | ||||
\(889\) | 7.13384 | + | 16.1949i | 0.239261 | + | 0.543158i | ||||
\(890\) | 14.7371 | − | 9.47094i | 0.493988 | − | 0.317467i | ||||
\(891\) | −1.20528 | + | 4.10480i | −0.0403783 | + | 0.137516i | ||||
\(892\) | 16.9348 | + | 14.6741i | 0.567020 | + | 0.491325i | ||||
\(893\) | −15.2357 | − | 51.8880i | −0.509843 | − | 1.73637i | ||||
\(894\) | 15.1082 | − | 33.0824i | 0.505295 | − | 1.10644i | ||||
\(895\) | 0.264528 | + | 1.83983i | 0.00884219 | + | 0.0614988i | ||||
\(896\) | −30.8497 | − | 0.415666i | −1.03061 | − | 0.0138864i | ||||
\(897\) | 1.18581 | − | 2.85169i | 0.0395931 | − | 0.0952153i | ||||
\(898\) | −45.3668 | −1.51391 | ||||||||
\(899\) | −1.46008 | + | 0.209928i | −0.0486965 | + | 0.00700149i | ||||
\(900\) | 1.28162 | − | 2.80635i | 0.0427205 | − | 0.0935449i | ||||
\(901\) | −5.68733 | − | 19.3693i | −0.189472 | − | 0.645284i | ||||
\(902\) | −52.5523 | + | 60.6486i | −1.74980 | + | 2.01938i | ||||
\(903\) | −0.614305 | − | 0.189403i | −0.0204428 | − | 0.00630292i | ||||
\(904\) | −3.26388 | − | 5.07869i | −0.108555 | − | 0.168915i | ||||
\(905\) | −6.32048 | − | 13.8399i | −0.210100 | − | 0.460054i | ||||
\(906\) | −29.8696 | + | 25.8822i | −0.992352 | + | 0.859878i | ||||
\(907\) | 14.2934 | − | 22.2410i | 0.474606 | − | 0.738501i | −0.518582 | − | 0.855028i | \(-0.673540\pi\) |
0.993187 | + | 0.116527i | \(0.0371762\pi\) | |||||||
\(908\) | −1.51260 | + | 10.5203i | −0.0501973 | + | 0.349130i | ||||
\(909\) | −1.42663 | − | 0.205119i | −0.0473185 | − | 0.00680337i | ||||
\(910\) | −2.38836 | + | 3.60853i | −0.0791734 | + | 0.119622i | ||||
\(911\) | 20.7863 | − | 18.0114i | 0.688682 | − | 0.596746i | −0.238597 | − | 0.971119i | \(-0.576687\pi\) |
0.927278 | + | 0.374373i | \(0.122142\pi\) | |||||||
\(912\) | −25.7711 | + | 11.7693i | −0.853365 | + | 0.389719i | ||||
\(913\) | −3.07790 | − | 4.78930i | −0.101864 | − | 0.158503i | ||||
\(914\) | −7.84211 | + | 26.7078i | −0.259394 | + | 0.883415i | ||||
\(915\) | −8.69796 | − | 7.53683i | −0.287546 | − | 0.249160i | ||||
\(916\) | −7.40272 | + | 2.17363i | −0.244593 | + | 0.0718189i | ||||
\(917\) | −21.6172 | − | 10.2264i | −0.713861 | − | 0.337706i | ||||
\(918\) | 5.84290 | − | 0.840082i | 0.192844 | − | 0.0277268i | ||||
\(919\) | − | 41.7559i | − | 1.37740i | −0.725047 | − | 0.688700i | \(-0.758182\pi\) | ||
0.725047 | − | 0.688700i | \(-0.241818\pi\) | |||||||
\(920\) | 10.8060 | − | 3.58005i | 0.356262 | − | 0.118031i | ||||
\(921\) | 15.4057 | 0.507636 | ||||||||
\(922\) | 19.0615 | − | 2.74063i | 0.627758 | − | 0.0902580i | ||||
\(923\) | −9.60221 | − | 4.38518i | −0.316061 | − | 0.144340i | ||||
\(924\) | 11.6155 | − | 3.24129i | 0.382122 | − | 0.106631i | ||||
\(925\) | 11.9455 | + | 10.3508i | 0.392766 | + | 0.340333i | ||||
\(926\) | −41.8664 | − | 12.2931i | −1.37582 | − | 0.403976i | ||||
\(927\) | −11.5668 | + | 7.43355i | −0.379904 | + | 0.244150i | ||||
\(928\) | −2.30219 | − | 5.04110i | −0.0755732 | − | 0.165482i | ||||
\(929\) | −27.3349 | + | 23.6858i | −0.896828 | + | 0.777106i | −0.975547 | − | 0.219791i | \(-0.929462\pi\) |
0.0787192 | + | 0.996897i | \(0.474917\pi\) | |||||||
\(930\) | −3.11314 | − | 2.00069i | −0.102084 | − | 0.0656054i | ||||
\(931\) | −6.70623 | + | 39.1273i | −0.219788 | + | 1.28234i | ||||
\(932\) | 4.12445 | − | 28.6862i | 0.135101 | − | 0.939646i | ||||
\(933\) | −22.0451 | − | 14.1675i | −0.721723 | − | 0.463823i | ||||
\(934\) | 28.4542 | + | 32.8379i | 0.931051 | + | 1.07449i | ||||
\(935\) | −19.0325 | + | 8.69185i | −0.622429 | + | 0.284254i | ||||
\(936\) | 0.569693 | + | 0.886460i | 0.0186210 | + | 0.0289749i | ||||
\(937\) | 31.6066 | + | 9.28053i | 1.03254 | + | 0.303182i | 0.753744 | − | 0.657168i | \(-0.228246\pi\) |
0.278798 | + | 0.960350i | \(0.410064\pi\) | |||||||
\(938\) | 13.3632 | + | 11.8982i | 0.436323 | + | 0.388491i | ||||
\(939\) | −1.63850 | − | 5.58021i | −0.0534703 | − | 0.182103i | ||||
\(940\) | 13.4060 | + | 6.12229i | 0.437254 | + | 0.199687i | ||||
\(941\) | 5.65794 | + | 39.3519i | 0.184444 | + | 1.28283i | 0.846099 | + | 0.533026i | \(0.178945\pi\) |
−0.661655 | + | 0.749808i | \(0.730146\pi\) | |||||||
\(942\) | − | 32.1188i | − | 1.04649i | ||||||
\(943\) | −51.0800 | − | 5.56280i | −1.66339 | − | 0.181150i | ||||
\(944\) | 25.2640i | 0.822273i | ||||||||
\(945\) | 3.80593 | − | 0.494970i | 0.123807 | − | 0.0161014i | ||||
\(946\) | −0.756017 | + | 1.65545i | −0.0245802 | + | 0.0538232i | ||||
\(947\) | 17.0927 | − | 5.01886i | 0.555437 | − | 0.163091i | 0.00804536 | − | 0.999968i | \(-0.497439\pi\) |
0.547392 | + | 0.836877i | \(0.315621\pi\) | |||||||
\(948\) | 10.6258 | − | 12.2629i | 0.345111 | − | 0.398279i | ||||
\(949\) | −3.33430 | − | 0.979039i | −0.108236 | − | 0.0317809i | ||||
\(950\) | 24.1877 | − | 15.5445i | 0.784752 | − | 0.504330i | ||||
\(951\) | 10.7474 | − | 4.90818i | 0.348509 | − | 0.159159i | ||||
\(952\) | 9.40891 | + | 11.1587i | 0.304944 | + | 0.361657i | ||||
\(953\) | 24.7280 | − | 38.4775i | 0.801017 | − | 1.24641i | −0.164580 | − | 0.986364i | \(-0.552627\pi\) |
0.965597 | − | 0.260043i | \(-0.0837369\pi\) | |||||||
\(954\) | 10.3764 | + | 1.49190i | 0.335949 | + | 0.0483021i | ||||
\(955\) | 18.9201 | + | 2.72030i | 0.612240 | + | 0.0880268i | ||||
\(956\) | 22.3703 | + | 14.3765i | 0.723508 | + | 0.464970i | ||||
\(957\) | −2.83626 | − | 3.27322i | −0.0916833 | − | 0.105808i | ||||
\(958\) | −24.0862 | − | 52.7415i | −0.778191 | − | 1.70400i | ||||
\(959\) | 16.1179 | + | 25.8389i | 0.520475 | + | 0.834381i | ||||
\(960\) | −0.166417 | + | 0.566764i | −0.00537108 | + | 0.0182922i | ||||
\(961\) | −18.9104 | + | 21.8238i | −0.610014 | + | 0.703993i | ||||
\(962\) | 5.90515 | − | 1.73391i | 0.190390 | − | 0.0559035i | ||||
\(963\) | 1.11810 | + | 0.510620i | 0.0360303 | + | 0.0164545i | ||||
\(964\) | 2.82723 | + | 19.6638i | 0.0910589 | + | 0.633329i | ||||
\(965\) | 5.67654 | 0.182734 | ||||||||
\(966\) | 17.0891 | + | 14.1949i | 0.549833 | + | 0.456714i | ||||
\(967\) | −16.1316 | −0.518756 | −0.259378 | − | 0.965776i | \(-0.583518\pi\) | ||||
−0.259378 | + | 0.965776i | \(0.583518\pi\) | |||||||
\(968\) | 1.70042 | + | 11.8267i | 0.0546537 | + | 0.380125i | ||||
\(969\) | 17.3924 | + | 7.94286i | 0.558726 | + | 0.255161i | ||||
\(970\) | −16.2982 | + | 4.78557i | −0.523302 | + | 0.153655i | ||||
\(971\) | −9.84366 | + | 11.3602i | −0.315898 | + | 0.364566i | −0.891386 | − | 0.453244i | \(-0.850267\pi\) |
0.575488 | + | 0.817810i | \(0.304812\pi\) | |||||||
\(972\) | −0.300164 | + | 1.02227i | −0.00962777 | + | 0.0327892i | ||||
\(973\) | −26.1858 | − | 41.9789i | −0.839479 | − | 1.34578i | ||||
\(974\) | 18.0633 | + | 39.5532i | 0.578786 | + | 1.26736i | ||||
\(975\) | −1.22117 | − | 1.40930i | −0.0391086 | − | 0.0451337i | ||||
\(976\) | 33.3435 | + | 21.4286i | 1.06730 | + | 0.685912i | ||||
\(977\) | −22.0998 | − | 3.17748i | −0.707036 | − | 0.101656i | −0.220589 | − | 0.975367i | \(-0.570798\pi\) |
−0.486447 | + | 0.873710i | \(0.661707\pi\) | |||||||
\(978\) | −23.9500 | − | 3.44350i | −0.765838 | − | 0.110111i | ||||
\(979\) | −15.9531 | + | 24.8235i | −0.509863 | + | 0.793362i | ||||
\(980\) | −6.86185 | − | 8.36411i | −0.219194 | − | 0.267182i | ||||
\(981\) | −3.25648 | + | 1.48719i | −0.103972 | + | 0.0474822i | ||||
\(982\) | 24.2105 | − | 15.5591i | 0.772588 | − | 0.496512i | ||||
\(983\) | −15.3459 | − | 4.50597i | −0.489459 | − | 0.143718i | 0.0276849 | − | 0.999617i | \(-0.491186\pi\) |
−0.517144 | + | 0.855899i | \(0.673005\pi\) | |||||||
\(984\) | 11.4804 | − | 13.2491i | 0.365982 | − | 0.422365i | ||||
\(985\) | 31.4095 | − | 9.22267i | 1.00079 | − | 0.293859i | ||||
\(986\) | −2.48257 | + | 5.43606i | −0.0790610 | + | 0.173119i | ||||
\(987\) | −3.25373 | − | 25.0186i | −0.103567 | − | 0.796352i | ||||
\(988\) | − | 3.89101i | − | 0.123789i | ||||||
\(989\) | −1.14702 | + | 0.205315i | −0.0364730 | + | 0.00652863i | ||||
\(990\) | − | 10.8655i | − | 0.345328i | ||||||
\(991\) | 4.38746 | + | 30.5154i | 0.139372 | + | 0.969355i | 0.932724 | + | 0.360591i | \(0.117425\pi\) |
−0.793352 | + | 0.608763i | \(0.791666\pi\) | |||||||
\(992\) | 7.25523 | + | 3.31335i | 0.230354 | + | 0.105199i | ||||
\(993\) | 3.57304 | + | 12.1687i | 0.113387 | + | 0.386161i | ||||
\(994\) | 50.4939 | − | 56.7108i | 1.60157 | − | 1.79876i | ||||
\(995\) | 7.53348 | + | 2.21203i | 0.238827 | + | 0.0701260i | ||||
\(996\) | −0.766524 | − | 1.19274i | −0.0242883 | − | 0.0377933i | ||||
\(997\) | −25.9821 | + | 11.8656i | −0.822861 | + | 0.375788i | −0.781924 | − | 0.623374i | \(-0.785761\pi\) |
−0.0409367 | + | 0.999162i | \(0.513034\pi\) | |||||||
\(998\) | −12.8490 | − | 14.8286i | −0.406730 | − | 0.469391i | ||||
\(999\) | −4.59197 | − | 2.95108i | −0.145284 | − | 0.0933681i |
(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 | 483.2.r.a.181.25 | ✓ | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.181.26 | yes | 320 | |
23.15 | odd | 22 | inner | 483.2.r.a.475.26 | yes | 320 | |
161.153 | even | 22 | inner | 483.2.r.a.475.25 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.181.25 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.181.26 | yes | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.475.25 | yes | 320 | 161.153 | even | 22 | inner | |
483.2.r.a.475.26 | yes | 320 | 23.15 | odd | 22 | inner |