Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.3 | ||
Character | \(\chi\) | \(=\) | 225.16 |
Dual form | 225.2.q.a.211.3 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.13701 | + | 0.951457i | −1.51109 | + | 0.672782i | −0.984185 | − | 0.177142i | \(-0.943315\pi\) |
−0.526907 | + | 0.849923i | \(0.676648\pi\) | |||||||
\(3\) | −0.620400 | + | 1.61713i | −0.358188 | + | 0.933649i | ||||
\(4\) | 2.32327 | − | 2.58025i | 1.16163 | − | 1.29012i | ||||
\(5\) | −1.69271 | + | 1.46108i | −0.757002 | + | 0.653413i | ||||
\(6\) | −0.212829 | − | 4.04610i | −0.0868869 | − | 1.65181i | ||||
\(7\) | −0.915602 | + | 1.58587i | −0.346065 | + | 0.599402i | −0.985547 | − | 0.169404i | \(-0.945816\pi\) |
0.639482 | + | 0.768806i | \(0.279149\pi\) | |||||||
\(8\) | −1.06411 | + | 3.27499i | −0.376219 | + | 1.15788i | ||||
\(9\) | −2.23021 | − | 2.00653i | −0.743403 | − | 0.668844i | ||||
\(10\) | 2.22718 | − | 4.73287i | 0.704295 | − | 1.49666i | ||||
\(11\) | −1.75350 | + | 0.780708i | −0.528700 | + | 0.235392i | −0.653686 | − | 0.756766i | \(-0.726778\pi\) |
0.124986 | + | 0.992159i | \(0.460111\pi\) | |||||||
\(12\) | 2.73124 | + | 5.35781i | 0.788441 | + | 1.54667i | ||||
\(13\) | −0.319779 | − | 0.142375i | −0.0886906 | − | 0.0394876i | 0.361912 | − | 0.932212i | \(-0.382124\pi\) |
−0.450602 | + | 0.892725i | \(0.648791\pi\) | |||||||
\(14\) | 0.447762 | − | 4.26017i | 0.119669 | − | 1.13858i | ||||
\(15\) | −1.31259 | − | 3.64378i | −0.338909 | − | 0.940819i | ||||
\(16\) | −0.116144 | − | 1.10504i | −0.0290360 | − | 0.276259i | ||||
\(17\) | −0.815069 | + | 2.50853i | −0.197683 | + | 0.608407i | 0.802251 | + | 0.596986i | \(0.203635\pi\) |
−0.999935 | + | 0.0114205i | \(0.996365\pi\) | |||||||
\(18\) | 6.67510 | + | 2.16603i | 1.57334 | + | 0.510538i | ||||
\(19\) | 1.57929 | − | 4.86056i | 0.362315 | − | 1.11509i | −0.589331 | − | 0.807892i | \(-0.700609\pi\) |
0.951646 | − | 0.307198i | \(-0.0993914\pi\) | |||||||
\(20\) | −0.162673 | + | 7.76208i | −0.0363747 | + | 1.73565i | ||||
\(21\) | −1.99652 | − | 2.46452i | −0.435675 | − | 0.537802i | ||||
\(22\) | 3.00443 | − | 3.33676i | 0.640546 | − | 0.711399i | ||||
\(23\) | 0.789361 | − | 7.51027i | 0.164593 | − | 1.56600i | −0.530880 | − | 0.847447i | \(-0.678138\pi\) |
0.695473 | − | 0.718552i | \(-0.255195\pi\) | |||||||
\(24\) | −4.63591 | − | 3.75261i | −0.946301 | − | 0.765998i | ||||
\(25\) | 0.730517 | − | 4.94635i | 0.146103 | − | 0.989269i | ||||
\(26\) | 0.818832 | 0.160586 | ||||||||
\(27\) | 4.62844 | − | 2.36168i | 0.890744 | − | 0.454505i | ||||
\(28\) | 1.96475 | + | 6.04688i | 0.371303 | + | 1.14275i | ||||
\(29\) | 7.09948 | + | 1.50904i | 1.31834 | + | 0.280222i | 0.812781 | − | 0.582570i | \(-0.197953\pi\) |
0.505560 | + | 0.862792i | \(0.331286\pi\) | |||||||
\(30\) | 6.27191 | + | 6.53790i | 1.14509 | + | 1.19365i | ||||
\(31\) | −6.88248 | + | 1.46292i | −1.23613 | + | 0.262747i | −0.779211 | − | 0.626761i | \(-0.784380\pi\) |
−0.456918 | + | 0.889509i | \(0.651047\pi\) | |||||||
\(32\) | −2.14393 | − | 3.71340i | −0.378998 | − | 0.656443i | ||||
\(33\) | −0.174634 | − | 3.31998i | −0.0303999 | − | 0.577935i | ||||
\(34\) | −0.644945 | − | 6.13624i | −0.110607 | − | 1.05236i | ||||
\(35\) | −0.767228 | − | 4.02218i | −0.129685 | − | 0.679872i | ||||
\(36\) | −10.3587 | + | 1.09278i | −1.72645 | + | 0.182130i | ||||
\(37\) | −4.22488 | + | 3.06955i | −0.694565 | + | 0.504631i | −0.878158 | − | 0.478371i | \(-0.841227\pi\) |
0.183592 | + | 0.983002i | \(0.441227\pi\) | |||||||
\(38\) | 1.24966 | + | 11.8897i | 0.202721 | + | 1.92876i | ||||
\(39\) | 0.428629 | − | 0.428794i | 0.0686355 | − | 0.0686619i | ||||
\(40\) | −2.98378 | − | 7.09835i | −0.471778 | − | 1.12235i | ||||
\(41\) | −2.49525 | − | 1.11096i | −0.389693 | − | 0.173502i | 0.202531 | − | 0.979276i | \(-0.435083\pi\) |
−0.592224 | + | 0.805773i | \(0.701750\pi\) | |||||||
\(42\) | 6.61145 | + | 3.36710i | 1.02017 | + | 0.519555i | ||||
\(43\) | −3.95848 | + | 6.85628i | −0.603662 | + | 1.04557i | 0.388599 | + | 0.921407i | \(0.372959\pi\) |
−0.992261 | + | 0.124167i | \(0.960374\pi\) | |||||||
\(44\) | −2.05942 | + | 6.33826i | −0.310470 | + | 0.955528i | ||||
\(45\) | 6.70678 | + | 0.137972i | 0.999788 | + | 0.0205676i | ||||
\(46\) | 5.45883 | + | 16.8005i | 0.804860 | + | 2.47710i | ||||
\(47\) | −10.9951 | − | 2.33709i | −1.60381 | − | 0.340900i | −0.682848 | − | 0.730560i | \(-0.739259\pi\) |
−0.920959 | + | 0.389660i | \(0.872592\pi\) | |||||||
\(48\) | 1.85904 | + | 0.497745i | 0.268330 | + | 0.0718433i | ||||
\(49\) | 1.82334 | + | 3.15813i | 0.260478 | + | 0.451161i | ||||
\(50\) | 3.14511 | + | 11.2654i | 0.444786 | + | 1.59317i | ||||
\(51\) | −3.55094 | − | 2.87436i | −0.497231 | − | 0.402491i | ||||
\(52\) | −1.11029 | + | 0.494334i | −0.153970 | + | 0.0685518i | ||||
\(53\) | 0.727074 | + | 2.23770i | 0.0998713 | + | 0.307372i | 0.988493 | − | 0.151269i | \(-0.0483361\pi\) |
−0.888621 | + | 0.458642i | \(0.848336\pi\) | |||||||
\(54\) | −7.64398 | + | 9.45069i | −1.04021 | + | 1.28608i | ||||
\(55\) | 1.82749 | − | 3.88350i | 0.246418 | − | 0.523651i | ||||
\(56\) | −4.21941 | − | 4.68613i | −0.563842 | − | 0.626210i | ||||
\(57\) | 6.88036 | + | 5.56941i | 0.911326 | + | 0.737687i | ||||
\(58\) | −16.6074 | + | 3.53002i | −2.18066 | + | 0.463514i | ||||
\(59\) | −5.30179 | − | 2.36051i | −0.690235 | − | 0.307312i | 0.0314785 | − | 0.999504i | \(-0.489978\pi\) |
−0.721713 | + | 0.692192i | \(0.756645\pi\) | |||||||
\(60\) | −12.4514 | − | 5.07866i | −1.60746 | − | 0.655652i | ||||
\(61\) | −7.48156 | + | 3.33100i | −0.957916 | + | 0.426491i | −0.825312 | − | 0.564678i | \(-0.809001\pi\) |
−0.132604 | + | 0.991169i | \(0.542334\pi\) | |||||||
\(62\) | 13.3160 | − | 9.67464i | 1.69113 | − | 1.22868i | ||||
\(63\) | 5.22408 | − | 1.69963i | 0.658173 | − | 0.214134i | ||||
\(64\) | 9.91258 | + | 7.20191i | 1.23907 | + | 0.900239i | ||||
\(65\) | 0.749312 | − | 0.226222i | 0.0929407 | − | 0.0280594i | ||||
\(66\) | 3.53201 | + | 6.92867i | 0.434761 | + | 0.852860i | ||||
\(67\) | 4.64929 | − | 0.988236i | 0.568001 | − | 0.120732i | 0.0850451 | − | 0.996377i | \(-0.472897\pi\) |
0.482956 | + | 0.875645i | \(0.339563\pi\) | |||||||
\(68\) | 4.57900 | + | 7.93106i | 0.555285 | + | 0.961782i | ||||
\(69\) | 11.6553 | + | 5.93587i | 1.40314 | + | 0.714595i | ||||
\(70\) | 5.46650 | + | 7.86544i | 0.653372 | + | 0.940100i | ||||
\(71\) | 4.20239 | + | 12.9336i | 0.498732 | + | 1.53494i | 0.811059 | + | 0.584964i | \(0.198891\pi\) |
−0.312328 | + | 0.949974i | \(0.601109\pi\) | |||||||
\(72\) | 8.94456 | − | 5.16874i | 1.05413 | − | 0.609142i | ||||
\(73\) | −10.4569 | − | 7.59738i | −1.22389 | − | 0.889206i | −0.227470 | − | 0.973785i | \(-0.573045\pi\) |
−0.996417 | + | 0.0845796i | \(0.973045\pi\) | |||||||
\(74\) | 6.10804 | − | 10.5794i | 0.710046 | − | 1.22984i | ||||
\(75\) | 7.54566 | + | 4.25005i | 0.871298 | + | 0.490754i | ||||
\(76\) | −8.87235 | − | 15.3674i | −1.01773 | − | 1.76276i | ||||
\(77\) | 0.367406 | − | 3.49564i | 0.0418698 | − | 0.398365i | ||||
\(78\) | −0.508004 | + | 1.32416i | −0.0575201 | + | 0.149931i | ||||
\(79\) | −6.36493 | − | 1.35291i | −0.716111 | − | 0.152214i | −0.164574 | − | 0.986365i | \(-0.552625\pi\) |
−0.551537 | + | 0.834151i | \(0.685958\pi\) | |||||||
\(80\) | 1.81114 | + | 1.70081i | 0.202492 | + | 0.190156i | ||||
\(81\) | 0.947652 | + | 8.94997i | 0.105295 | + | 0.994441i | ||||
\(82\) | 6.38940 | 0.705591 | ||||||||
\(83\) | −6.26629 | − | 6.95942i | −0.687815 | − | 0.763896i | 0.293572 | − | 0.955937i | \(-0.405156\pi\) |
−0.981387 | + | 0.192041i | \(0.938489\pi\) | |||||||
\(84\) | −10.9975 | − | 0.574231i | −1.19993 | − | 0.0626538i | ||||
\(85\) | −2.28547 | − | 5.43708i | −0.247894 | − | 0.589734i | ||||
\(86\) | 1.93584 | − | 18.4182i | 0.208747 | − | 1.98609i | ||||
\(87\) | −6.84483 | + | 10.5446i | −0.733843 | + | 1.13050i | ||||
\(88\) | −0.690898 | − | 6.57345i | −0.0736499 | − | 0.700732i | ||||
\(89\) | −8.55403 | − | 6.21487i | −0.906726 | − | 0.658775i | 0.0334588 | − | 0.999440i | \(-0.489348\pi\) |
−0.940185 | + | 0.340665i | \(0.889348\pi\) | |||||||
\(90\) | −14.4637 | + | 6.08637i | −1.52461 | + | 0.641560i | ||||
\(91\) | 0.518578 | − | 0.376769i | 0.0543617 | − | 0.0394961i | ||||
\(92\) | −17.5445 | − | 19.4851i | −1.82914 | − | 2.03146i | ||||
\(93\) | 1.90417 | − | 12.0374i | 0.197453 | − | 1.24822i | ||||
\(94\) | 25.7203 | − | 5.46703i | 2.65285 | − | 0.563881i | ||||
\(95\) | 4.42837 | + | 10.5350i | 0.454341 | + | 1.08087i | ||||
\(96\) | 7.33515 | − | 1.16322i | 0.748640 | − | 0.118721i | ||||
\(97\) | 13.4736 | + | 2.86389i | 1.36803 | + | 0.290784i | 0.832638 | − | 0.553817i | \(-0.186829\pi\) |
0.535395 | + | 0.844602i | \(0.320163\pi\) | |||||||
\(98\) | −6.90132 | − | 5.01410i | −0.697139 | − | 0.506501i | ||||
\(99\) | 5.47718 | + | 1.77731i | 0.550477 | + | 0.178627i | ||||
\(100\) | −11.0656 | − | 13.3766i | −1.10656 | − | 1.33766i | ||||
\(101\) | 3.06658 | − | 5.31147i | 0.305136 | − | 0.528511i | −0.672155 | − | 0.740410i | \(-0.734631\pi\) |
0.977292 | + | 0.211899i | \(0.0679647\pi\) | |||||||
\(102\) | 10.3232 | + | 2.76396i | 1.02215 | + | 0.273673i | ||||
\(103\) | −5.33351 | + | 5.92347i | −0.525527 | + | 0.583657i | −0.946211 | − | 0.323551i | \(-0.895123\pi\) |
0.420684 | + | 0.907207i | \(0.361790\pi\) | |||||||
\(104\) | 0.806555 | − | 0.895770i | 0.0790892 | − | 0.0878375i | ||||
\(105\) | 6.98037 | + | 1.25465i | 0.681214 | + | 0.122442i | ||||
\(106\) | −3.68284 | − | 4.09021i | −0.357709 | − | 0.397276i | ||||
\(107\) | −12.9593 | −1.25282 | −0.626412 | − | 0.779492i | \(-0.715477\pi\) | ||||
−0.626412 | + | 0.779492i | \(0.715477\pi\) | |||||||
\(108\) | 4.65939 | − | 17.4293i | 0.448350 | − | 1.67714i | ||||
\(109\) | 4.11285 | − | 2.98816i | 0.393939 | − | 0.286214i | −0.373129 | − | 0.927780i | \(-0.621715\pi\) |
0.767068 | + | 0.641566i | \(0.221715\pi\) | |||||||
\(110\) | −0.210367 | + | 10.0378i | −0.0200577 | + | 0.957071i | ||||
\(111\) | −2.34275 | − | 8.73652i | −0.222364 | − | 0.829234i | ||||
\(112\) | 1.85879 | + | 0.827585i | 0.175639 | + | 0.0781995i | ||||
\(113\) | 12.2106 | + | 5.43653i | 1.14868 | + | 0.511426i | 0.890640 | − | 0.454708i | \(-0.150256\pi\) |
0.258041 | + | 0.966134i | \(0.416923\pi\) | |||||||
\(114\) | −20.0024 | − | 5.35551i | −1.87340 | − | 0.501589i | ||||
\(115\) | 9.63691 | + | 13.8660i | 0.898647 | + | 1.29301i | ||||
\(116\) | 20.3877 | − | 14.8125i | 1.89295 | − | 1.37531i | ||||
\(117\) | 0.427493 | + | 0.959171i | 0.0395218 | + | 0.0886754i | ||||
\(118\) | 13.5759 | 1.24976 | ||||||||
\(119\) | −3.23192 | − | 3.58941i | −0.296269 | − | 0.329040i | ||||
\(120\) | 13.3301 | − | 0.421347i | 1.21686 | − | 0.0384635i | ||||
\(121\) | −4.89518 | + | 5.43665i | −0.445017 | + | 0.494241i | ||||
\(122\) | 12.8188 | − | 14.2368i | 1.16056 | − | 1.28894i | ||||
\(123\) | 3.34461 | − | 3.34590i | 0.301574 | − | 0.301690i | ||||
\(124\) | −12.2151 | + | 21.1573i | −1.09695 | + | 1.89998i | ||||
\(125\) | 5.99043 | + | 9.44006i | 0.535801 | + | 0.844345i | ||||
\(126\) | −9.54678 | + | 8.60262i | −0.850494 | + | 0.766382i | ||||
\(127\) | −9.17993 | − | 6.66961i | −0.814587 | − | 0.591832i | 0.100570 | − | 0.994930i | \(-0.467933\pi\) |
−0.915157 | + | 0.403098i | \(0.867933\pi\) | |||||||
\(128\) | −19.6472 | − | 4.17615i | −1.73659 | − | 0.369123i | ||||
\(129\) | −8.63165 | − | 10.6550i | −0.759975 | − | 0.938121i | ||||
\(130\) | −1.38604 | + | 1.19638i | −0.121564 | + | 0.104929i | ||||
\(131\) | 4.59865 | − | 0.977473i | 0.401786 | − | 0.0854022i | −0.00258661 | − | 0.999997i | \(-0.500823\pi\) |
0.404372 | + | 0.914594i | \(0.367490\pi\) | |||||||
\(132\) | −8.97211 | − | 7.26261i | −0.780922 | − | 0.632129i | ||||
\(133\) | 6.26222 | + | 6.95489i | 0.543003 | + | 0.603066i | ||||
\(134\) | −8.99529 | + | 6.53546i | −0.777075 | + | 0.564578i | ||||
\(135\) | −4.38401 | + | 10.7601i | −0.377315 | + | 0.926085i | ||||
\(136\) | −7.34808 | − | 5.33869i | −0.630092 | − | 0.457789i | ||||
\(137\) | 1.03584 | + | 9.85536i | 0.0884978 | + | 0.842000i | 0.945267 | + | 0.326299i | \(0.105802\pi\) |
−0.856769 | + | 0.515701i | \(0.827532\pi\) | |||||||
\(138\) | −30.5553 | − | 1.59543i | −2.60104 | − | 0.135812i | ||||
\(139\) | −0.971177 | + | 9.24013i | −0.0823742 | + | 0.783738i | 0.872877 | + | 0.487941i | \(0.162252\pi\) |
−0.955251 | + | 0.295797i | \(0.904415\pi\) | |||||||
\(140\) | −12.1607 | − | 7.36495i | −1.02777 | − | 0.622452i | ||||
\(141\) | 10.6008 | − | 16.3306i | 0.892746 | − | 1.37529i | ||||
\(142\) | −21.2863 | − | 23.6408i | −1.78631 | − | 1.98390i | ||||
\(143\) | 0.671884 | 0.0561858 | ||||||||
\(144\) | −1.95827 | + | 2.69751i | −0.163189 | + | 0.224792i | ||||
\(145\) | −14.2222 | + | 7.81851i | −1.18109 | + | 0.649292i | ||||
\(146\) | 29.5750 | + | 6.28636i | 2.44765 | + | 0.520263i | ||||
\(147\) | −6.23830 | + | 0.989281i | −0.514526 | + | 0.0815945i | ||||
\(148\) | −1.89531 | + | 18.0326i | −0.155793 | + | 1.48227i | ||||
\(149\) | 6.77464 | + | 11.7340i | 0.555000 | + | 0.961288i | 0.997904 | + | 0.0647191i | \(0.0206151\pi\) |
−0.442903 | + | 0.896569i | \(0.646052\pi\) | |||||||
\(150\) | −20.1689 | − | 1.90302i | −1.64678 | − | 0.155381i | ||||
\(151\) | −0.919523 | + | 1.59266i | −0.0748297 | + | 0.129609i | −0.901012 | − | 0.433794i | \(-0.857175\pi\) |
0.826182 | + | 0.563403i | \(0.190508\pi\) | |||||||
\(152\) | 14.2378 | + | 10.3443i | 1.15484 | + | 0.839037i | ||||
\(153\) | 6.85121 | − | 3.95907i | 0.553888 | − | 0.320072i | ||||
\(154\) | 2.54080 | + | 7.81977i | 0.204743 | + | 0.630135i | ||||
\(155\) | 9.51259 | − | 12.5321i | 0.764070 | − | 1.00660i | ||||
\(156\) | −0.110576 | − | 2.10217i | −0.00885318 | − | 0.168308i | ||||
\(157\) | 0.169592 | + | 0.293742i | 0.0135349 | + | 0.0234432i | 0.872714 | − | 0.488233i | \(-0.162358\pi\) |
−0.859179 | + | 0.511676i | \(0.829025\pi\) | |||||||
\(158\) | 14.8891 | − | 3.16478i | 1.18452 | − | 0.251777i | ||||
\(159\) | −4.06973 | − | 0.212500i | −0.322751 | − | 0.0168523i | ||||
\(160\) | 9.05461 | + | 3.15326i | 0.715830 | + | 0.249287i | ||||
\(161\) | 11.1876 | + | 8.12824i | 0.881704 | + | 0.640595i | ||||
\(162\) | −10.5406 | − | 18.2245i | −0.828152 | − | 1.43185i | ||||
\(163\) | 14.9764 | − | 10.8810i | 1.17304 | − | 0.852264i | 0.181671 | − | 0.983359i | \(-0.441849\pi\) |
0.991370 | + | 0.131095i | \(0.0418493\pi\) | |||||||
\(164\) | −8.66368 | + | 3.85732i | −0.676520 | + | 0.301206i | ||||
\(165\) | 5.14635 | + | 5.36461i | 0.400643 | + | 0.417634i | ||||
\(166\) | 20.0127 | + | 8.91022i | 1.55329 | + | 0.691568i | ||||
\(167\) | −9.71158 | + | 2.06426i | −0.751504 | + | 0.159737i | −0.567711 | − | 0.823228i | \(-0.692171\pi\) |
−0.183793 | + | 0.982965i | \(0.558838\pi\) | |||||||
\(168\) | 10.1958 | − | 3.91605i | 0.786623 | − | 0.302130i | ||||
\(169\) | −8.61671 | − | 9.56983i | −0.662824 | − | 0.736140i | ||||
\(170\) | 10.0572 | + | 9.44455i | 0.771353 | + | 0.724364i | ||||
\(171\) | −13.2750 | + | 7.67116i | −1.01517 | + | 0.586628i | ||||
\(172\) | 8.49433 | + | 26.1428i | 0.647686 | + | 1.99337i | ||||
\(173\) | 8.63521 | − | 3.84464i | 0.656523 | − | 0.292303i | −0.0513101 | − | 0.998683i | \(-0.516340\pi\) |
0.707833 | + | 0.706380i | \(0.249673\pi\) | |||||||
\(174\) | 4.59476 | − | 29.0464i | 0.348328 | − | 2.20200i | ||||
\(175\) | 7.17540 | + | 5.68739i | 0.542409 | + | 0.429926i | ||||
\(176\) | 1.06637 | + | 1.84701i | 0.0803806 | + | 0.139223i | ||||
\(177\) | 7.10648 | − | 7.10922i | 0.534156 | − | 0.534362i | ||||
\(178\) | 24.1932 | + | 5.14243i | 1.81336 | + | 0.385441i | ||||
\(179\) | −2.63484 | − | 8.10919i | −0.196937 | − | 0.606109i | −0.999949 | − | 0.0101460i | \(-0.996770\pi\) |
0.803012 | − | 0.595963i | \(-0.203230\pi\) | |||||||
\(180\) | 15.9377 | − | 16.9846i | 1.18792 | − | 1.26596i | ||||
\(181\) | 0.994944 | − | 3.06212i | 0.0739536 | − | 0.227606i | −0.907246 | − | 0.420600i | \(-0.861820\pi\) |
0.981200 | + | 0.192994i | \(0.0618197\pi\) | |||||||
\(182\) | −0.749725 | + | 1.29856i | −0.0555733 | + | 0.0962558i | ||||
\(183\) | −0.745102 | − | 14.1652i | −0.0550796 | − | 1.04712i | ||||
\(184\) | 23.7561 | + | 10.5769i | 1.75132 | + | 0.779739i | ||||
\(185\) | 2.66663 | − | 11.3687i | 0.196055 | − | 0.835845i | ||||
\(186\) | 7.38389 | + | 27.5358i | 0.541413 | + | 2.01902i | ||||
\(187\) | −0.529203 | − | 5.03503i | −0.0386991 | − | 0.368198i | ||||
\(188\) | −31.5749 | + | 22.9405i | −2.30284 | + | 1.67311i | ||||
\(189\) | −0.492497 | + | 9.50246i | −0.0358239 | + | 0.691203i | ||||
\(190\) | −19.4870 | − | 18.2999i | −1.41374 | − | 1.32762i | ||||
\(191\) | 0.939890 | + | 8.94245i | 0.0680080 | + | 0.647053i | 0.974432 | + | 0.224684i | \(0.0721349\pi\) |
−0.906424 | + | 0.422370i | \(0.861198\pi\) | |||||||
\(192\) | −17.7962 | + | 11.5618i | −1.28433 | + | 0.834405i | ||||
\(193\) | 0.925754 | + | 1.60345i | 0.0666372 | + | 0.115419i | 0.897419 | − | 0.441179i | \(-0.145440\pi\) |
−0.830782 | + | 0.556598i | \(0.812106\pi\) | |||||||
\(194\) | −31.5180 | + | 6.69935i | −2.26286 | + | 0.480986i | ||||
\(195\) | −0.0990428 | + | 1.35208i | −0.00709260 | + | 0.0968245i | ||||
\(196\) | 12.3849 | + | 2.63249i | 0.884634 | + | 0.188035i | ||||
\(197\) | 5.40845 | + | 16.6455i | 0.385336 | + | 1.18594i | 0.936236 | + | 0.351371i | \(0.114285\pi\) |
−0.550900 | + | 0.834571i | \(0.685715\pi\) | |||||||
\(198\) | −13.3958 | + | 1.41317i | −0.951999 | + | 0.100430i | ||||
\(199\) | −20.1811 | −1.43060 | −0.715300 | − | 0.698817i | \(-0.753710\pi\) | ||||
−0.715300 | + | 0.698817i | \(0.753710\pi\) | |||||||
\(200\) | 15.4219 | + | 7.65589i | 1.09049 | + | 0.541353i | ||||
\(201\) | −1.28631 | + | 8.13159i | −0.0907295 | + | 0.573558i | ||||
\(202\) | −1.49967 | + | 14.2684i | −0.105516 | + | 1.00392i | ||||
\(203\) | −8.89344 | + | 9.87717i | −0.624197 | + | 0.693241i | ||||
\(204\) | −15.6663 | + | 2.48440i | −1.09686 | + | 0.173943i | ||||
\(205\) | 5.84692 | − | 1.76522i | 0.408367 | − | 0.123289i | ||||
\(206\) | 5.76183 | − | 17.7331i | 0.401446 | − | 1.23552i | ||||
\(207\) | −16.8300 | + | 15.1656i | −1.16977 | + | 1.05408i | ||||
\(208\) | −0.120189 | + | 0.369903i | −0.00833360 | + | 0.0256482i | ||||
\(209\) | 1.02539 | + | 9.75595i | 0.0709279 | + | 0.674833i | ||||
\(210\) | −16.1108 | + | 3.96032i | −1.11175 | + | 0.273288i | ||||
\(211\) | 0.0863484 | − | 0.821550i | 0.00594447 | − | 0.0565578i | −0.991148 | − | 0.132765i | \(-0.957614\pi\) |
0.997092 | + | 0.0762073i | \(0.0242811\pi\) | |||||||
\(212\) | 7.46302 | + | 3.32275i | 0.512563 | + | 0.228208i | ||||
\(213\) | −23.5225 | − | 1.22822i | −1.61173 | − | 0.0841561i | ||||
\(214\) | 27.6941 | − | 12.3302i | 1.89313 | − | 0.842877i | ||||
\(215\) | −3.31700 | − | 17.3893i | −0.226218 | − | 1.18594i | ||||
\(216\) | 2.80931 | + | 17.6712i | 0.191149 | + | 1.20237i | ||||
\(217\) | 3.98162 | − | 12.2542i | 0.270290 | − | 0.831867i | ||||
\(218\) | −5.94608 | + | 10.2989i | −0.402719 | + | 0.697530i | ||||
\(219\) | 18.7734 | − | 12.1967i | 1.26859 | − | 0.824178i | ||||
\(220\) | −5.77467 | − | 13.7378i | −0.389328 | − | 0.926202i | ||||
\(221\) | 0.617792 | − | 0.686127i | 0.0415572 | − | 0.0461539i | ||||
\(222\) | 13.3189 | + | 16.4410i | 0.893905 | + | 1.10345i | ||||
\(223\) | −4.47037 | + | 1.99034i | −0.299358 | + | 0.133283i | −0.550919 | − | 0.834559i | \(-0.685723\pi\) |
0.251561 | + | 0.967841i | \(0.419056\pi\) | |||||||
\(224\) | 7.85196 | 0.524631 | ||||||||
\(225\) | −11.5542 | + | 9.56557i | −0.770281 | + | 0.637705i | ||||
\(226\) | −31.2669 | −2.07984 | ||||||||
\(227\) | −15.2860 | + | 6.80578i | −1.01457 | + | 0.451716i | −0.845550 | − | 0.533897i | \(-0.820727\pi\) |
−0.169021 | + | 0.985613i | \(0.554060\pi\) | |||||||
\(228\) | 30.3554 | − | 4.81382i | 2.01033 | − | 0.318803i | ||||
\(229\) | 2.47511 | − | 2.74889i | 0.163560 | − | 0.181652i | −0.655794 | − | 0.754940i | \(-0.727666\pi\) |
0.819354 | + | 0.573289i | \(0.194333\pi\) | |||||||
\(230\) | −33.7870 | − | 20.4626i | −2.22785 | − | 1.34927i | ||||
\(231\) | 5.42496 | + | 2.76284i | 0.356936 | + | 0.181781i | ||||
\(232\) | −12.4967 | + | 21.6450i | −0.820450 | + | 1.42106i | ||||
\(233\) | 0.0866930 | − | 0.266814i | 0.00567945 | − | 0.0174795i | −0.948177 | − | 0.317744i | \(-0.897075\pi\) |
0.953856 | + | 0.300264i | \(0.0970748\pi\) | |||||||
\(234\) | −1.82617 | − | 1.64301i | −0.119380 | − | 0.107407i | ||||
\(235\) | 22.0262 | − | 12.1087i | 1.43683 | − | 0.789886i | ||||
\(236\) | −18.4082 | + | 8.19586i | −1.19827 | + | 0.533505i | ||||
\(237\) | 6.13663 | − | 9.45356i | 0.398617 | − | 0.614075i | ||||
\(238\) | 10.3218 | + | 4.59556i | 0.669062 | + | 0.297886i | ||||
\(239\) | −1.97184 | + | 18.7608i | −0.127548 | + | 1.21354i | 0.724202 | + | 0.689588i | \(0.242208\pi\) |
−0.851750 | + | 0.523949i | \(0.824458\pi\) | |||||||
\(240\) | −3.87406 | + | 1.87366i | −0.250069 | + | 0.120945i | ||||
\(241\) | −1.59183 | − | 15.1453i | −0.102539 | − | 0.975592i | −0.917946 | − | 0.396704i | \(-0.870154\pi\) |
0.815408 | − | 0.578887i | \(-0.196513\pi\) | |||||||
\(242\) | 5.28830 | − | 16.2757i | 0.339945 | − | 1.04624i | ||||
\(243\) | −15.0612 | − | 4.02009i | −0.966175 | − | 0.257889i | ||||
\(244\) | −8.78684 | + | 27.0431i | −0.562520 | + | 1.73126i | ||||
\(245\) | −7.70065 | − | 2.68174i | −0.491976 | − | 0.171330i | ||||
\(246\) | −3.96398 | + | 10.3325i | −0.252734 | + | 0.658774i | ||||
\(247\) | −1.19704 | + | 1.32945i | −0.0761661 | + | 0.0845910i | ||||
\(248\) | 2.53267 | − | 24.0968i | 0.160825 | − | 1.53015i | ||||
\(249\) | 15.1419 | − | 5.81577i | 0.959578 | − | 0.368559i | ||||
\(250\) | −21.7834 | − | 14.4738i | −1.37770 | − | 0.915406i | ||||
\(251\) | 8.19742 | 0.517417 | 0.258708 | − | 0.965956i | \(-0.416703\pi\) | ||||
0.258708 | + | 0.965956i | \(0.416703\pi\) | |||||||
\(252\) | 7.75147 | − | 17.4281i | 0.488296 | − | 1.09787i | ||||
\(253\) | 4.47918 | + | 13.7855i | 0.281604 | + | 0.866687i | ||||
\(254\) | 25.9634 | + | 5.51870i | 1.62909 | + | 0.346274i | ||||
\(255\) | 10.2104 | − | 0.322737i | 0.639397 | − | 0.0202105i | ||||
\(256\) | 21.9899 | − | 4.67410i | 1.37437 | − | 0.292132i | ||||
\(257\) | 8.09787 | + | 14.0259i | 0.505131 | + | 0.874913i | 0.999982 | + | 0.00593500i | \(0.00188918\pi\) |
−0.494851 | + | 0.868978i | \(0.664777\pi\) | |||||||
\(258\) | 28.5837 | + | 14.5572i | 1.77954 | + | 0.906290i | ||||
\(259\) | −0.999604 | − | 9.51059i | −0.0621123 | − | 0.590959i | ||||
\(260\) | 1.15714 | − | 2.45899i | 0.0717629 | − | 0.152500i | ||||
\(261\) | −12.8054 | − | 17.6108i | −0.792633 | − | 1.09008i | ||||
\(262\) | −8.89732 | + | 6.46428i | −0.549678 | + | 0.399365i | ||||
\(263\) | −1.80260 | − | 17.1506i | −0.111153 | − | 1.05755i | −0.897877 | − | 0.440247i | \(-0.854891\pi\) |
0.786724 | − | 0.617305i | \(-0.211776\pi\) | |||||||
\(264\) | 11.0587 | + | 2.96090i | 0.680619 | + | 0.182231i | ||||
\(265\) | −4.50018 | − | 2.72547i | −0.276444 | − | 0.167424i | ||||
\(266\) | −19.9997 | − | 8.90443i | −1.22626 | − | 0.545966i | ||||
\(267\) | 15.3572 | − | 9.97727i | 0.939843 | − | 0.610599i | ||||
\(268\) | 8.25164 | − | 14.2923i | 0.504049 | − | 0.873039i | ||||
\(269\) | −5.23420 | + | 16.1092i | −0.319135 | + | 0.982196i | 0.654884 | + | 0.755729i | \(0.272717\pi\) |
−0.974019 | + | 0.226467i | \(0.927283\pi\) | |||||||
\(270\) | −0.869148 | − | 27.1657i | −0.0528947 | − | 1.65325i | ||||
\(271\) | −4.11591 | − | 12.6675i | −0.250024 | − | 0.769494i | −0.994769 | − | 0.102146i | \(-0.967429\pi\) |
0.744746 | − | 0.667349i | \(-0.232571\pi\) | |||||||
\(272\) | 2.86668 | + | 0.609332i | 0.173818 | + | 0.0369462i | ||||
\(273\) | 0.287558 | + | 1.07235i | 0.0174038 | + | 0.0649018i | ||||
\(274\) | −11.5905 | − | 20.0754i | −0.700210 | − | 1.21280i | ||||
\(275\) | 2.58069 | + | 9.24373i | 0.155621 | + | 0.557418i | ||||
\(276\) | 42.3945 | − | 16.2831i | 2.55185 | − | 0.980127i | ||||
\(277\) | 17.7559 | − | 7.90542i | 1.06685 | − | 0.474991i | 0.203225 | − | 0.979132i | \(-0.434858\pi\) |
0.863621 | + | 0.504141i | \(0.168191\pi\) | |||||||
\(278\) | −6.71617 | − | 20.6703i | −0.402809 | − | 1.23972i | ||||
\(279\) | 18.2847 | + | 10.5473i | 1.09468 | + | 0.631451i | ||||
\(280\) | 13.9890 | + | 1.76737i | 0.836003 | + | 0.105621i | ||||
\(281\) | −10.1495 | − | 11.2721i | −0.605466 | − | 0.672438i | 0.360004 | − | 0.932951i | \(-0.382775\pi\) |
−0.965471 | + | 0.260512i | \(0.916109\pi\) | |||||||
\(282\) | −7.11602 | + | 44.9848i | −0.423753 | + | 2.67881i | ||||
\(283\) | 19.8178 | − | 4.21241i | 1.17805 | − | 0.250402i | 0.423036 | − | 0.906113i | \(-0.360964\pi\) |
0.755012 | + | 0.655711i | \(0.227631\pi\) | |||||||
\(284\) | 43.1352 | + | 19.2050i | 2.55961 | + | 1.13961i | ||||
\(285\) | −19.7838 | + | 0.625340i | −1.17189 | + | 0.0370419i | ||||
\(286\) | −1.43582 | + | 0.639269i | −0.0849019 | + | 0.0378007i | ||||
\(287\) | 4.04649 | − | 2.93995i | 0.238857 | − | 0.173540i | ||||
\(288\) | −2.66965 | + | 12.5835i | −0.157310 | + | 0.741492i | ||||
\(289\) | 8.12493 | + | 5.90310i | 0.477937 | + | 0.347241i | ||||
\(290\) | 22.9539 | − | 30.2400i | 1.34790 | − | 1.77575i | ||||
\(291\) | −12.9903 | + | 20.0117i | −0.761504 | + | 1.17311i | ||||
\(292\) | −43.8973 | + | 9.33065i | −2.56889 | + | 0.546035i | ||||
\(293\) | −8.88207 | − | 15.3842i | −0.518896 | − | 0.898754i | −0.999759 | − | 0.0219583i | \(-0.993010\pi\) |
0.480863 | − | 0.876796i | \(-0.340323\pi\) | |||||||
\(294\) | 12.3900 | − | 8.04957i | 0.722601 | − | 0.469460i | ||||
\(295\) | 12.4233 | − | 3.75067i | 0.723311 | − | 0.218372i | ||||
\(296\) | −5.55703 | − | 17.1028i | −0.322996 | − | 0.994079i | ||||
\(297\) | −6.27218 | + | 7.75466i | −0.363949 | + | 0.449971i | ||||
\(298\) | −25.6419 | − | 18.6299i | −1.48539 | − | 1.07920i | ||||
\(299\) | −1.32169 | + | 2.28924i | −0.0764354 | + | 0.132390i | ||||
\(300\) | 28.4968 | − | 9.59569i | 1.64526 | − | 0.554007i | ||||
\(301\) | −7.24878 | − | 12.5553i | −0.417813 | − | 0.723673i | ||||
\(302\) | 0.449680 | − | 4.27841i | 0.0258761 | − | 0.246195i | ||||
\(303\) | 6.68683 | + | 8.25429i | 0.384148 | + | 0.474197i | ||||
\(304\) | −5.55453 | − | 1.18065i | −0.318574 | − | 0.0677150i | ||||
\(305\) | 7.79724 | − | 16.5695i | 0.446469 | − | 0.948769i | ||||
\(306\) | −10.8742 | + | 14.9792i | −0.621637 | + | 0.856303i | ||||
\(307\) | 8.60655 | 0.491202 | 0.245601 | − | 0.969371i | \(-0.421015\pi\) | ||||
0.245601 | + | 0.969371i | \(0.421015\pi\) | |||||||
\(308\) | −8.16604 | − | 9.06930i | −0.465303 | − | 0.516771i | ||||
\(309\) | −6.27009 | − | 12.2999i | −0.356693 | − | 0.699717i | ||||
\(310\) | −8.40471 | + | 35.8320i | −0.477356 | + | 2.03512i | ||||
\(311\) | −1.67359 | + | 15.9231i | −0.0949005 | + | 0.902918i | 0.838698 | + | 0.544597i | \(0.183317\pi\) |
−0.933598 | + | 0.358321i | \(0.883349\pi\) | |||||||
\(312\) | 0.948188 | + | 1.86004i | 0.0536806 | + | 0.105304i | ||||
\(313\) | −0.888904 | − | 8.45736i | −0.0502438 | − | 0.478038i | −0.990494 | − | 0.137554i | \(-0.956076\pi\) |
0.940250 | − | 0.340484i | \(-0.110591\pi\) | |||||||
\(314\) | −0.641902 | − | 0.466369i | −0.0362246 | − | 0.0263187i | ||||
\(315\) | −6.35955 | + | 10.5098i | −0.358320 | + | 0.592158i | ||||
\(316\) | −18.2783 | + | 13.2799i | −1.02823 | + | 0.747055i | ||||
\(317\) | 12.6616 | + | 14.0621i | 0.711146 | + | 0.789807i | 0.985109 | − | 0.171933i | \(-0.0550013\pi\) |
−0.273963 | + | 0.961740i | \(0.588335\pi\) | |||||||
\(318\) | 8.89923 | − | 3.41806i | 0.499044 | − | 0.191675i | ||||
\(319\) | −13.6270 | + | 2.89652i | −0.762968 | + | 0.162174i | ||||
\(320\) | −27.3016 | + | 2.29230i | −1.52621 | + | 0.128143i | ||||
\(321\) | 8.03996 | − | 20.9569i | 0.448747 | − | 1.16970i | ||||
\(322\) | −31.6416 | − | 6.72563i | −1.76332 | − | 0.374804i | ||||
\(323\) | 10.9056 | + | 7.92339i | 0.606805 | + | 0.440869i | ||||
\(324\) | 25.2948 | + | 18.3480i | 1.40527 | + | 1.01933i | ||||
\(325\) | −0.937838 | + | 1.47773i | −0.0520219 | + | 0.0819696i | ||||
\(326\) | −21.6519 | + | 37.5021i | −1.19919 | + | 2.07705i | ||||
\(327\) | 2.28062 | + | 8.50485i | 0.126119 | + | 0.470319i | ||||
\(328\) | 6.29360 | − | 6.98975i | 0.347506 | − | 0.385944i | ||||
\(329\) | 13.7735 | − | 15.2970i | 0.759358 | − | 0.843352i | ||||
\(330\) | −16.1020 | − | 6.56767i | −0.886385 | − | 0.361538i | ||||
\(331\) | −3.12999 | − | 3.47621i | −0.172040 | − | 0.191070i | 0.650959 | − | 0.759113i | \(-0.274367\pi\) |
−0.822998 | + | 0.568044i | \(0.807701\pi\) | |||||||
\(332\) | −32.5153 | −1.78451 | ||||||||
\(333\) | 15.5815 | + | 1.63161i | 0.853861 | + | 0.0894119i | ||||
\(334\) | 18.7897 | − | 13.6515i | 1.02812 | − | 0.746976i | ||||
\(335\) | −6.42599 | + | 8.46575i | −0.351090 | + | 0.462534i | ||||
\(336\) | −2.49150 | + | 2.49246i | −0.135923 | + | 0.135975i | ||||
\(337\) | −22.7914 | − | 10.1474i | −1.24153 | − | 0.552764i | −0.322356 | − | 0.946618i | \(-0.604475\pi\) |
−0.919173 | + | 0.393854i | \(0.871142\pi\) | |||||||
\(338\) | 27.5192 | + | 12.2524i | 1.49685 | + | 0.666440i | ||||
\(339\) | −16.3671 | + | 16.3734i | −0.888936 | + | 0.889279i | ||||
\(340\) | −19.3388 | − | 6.73470i | −1.04879 | − | 0.365240i | ||||
\(341\) | 10.9263 | − | 7.93842i | 0.591692 | − | 0.429890i | ||||
\(342\) | 21.0700 | − | 29.0239i | 1.13934 | − | 1.56944i | ||||
\(343\) | −19.4963 | −1.05270 | ||||||||
\(344\) | −18.2420 | − | 20.2598i | −0.983544 | − | 1.09234i | ||||
\(345\) | −28.4018 | + | 6.98165i | −1.52910 | + | 0.375880i | ||||
\(346\) | −14.7955 | + | 16.4321i | −0.795410 | + | 0.883393i | ||||
\(347\) | 22.2680 | − | 24.7312i | 1.19541 | − | 1.32764i | 0.263626 | − | 0.964625i | \(-0.415081\pi\) |
0.931784 | − | 0.363013i | \(-0.118252\pi\) | |||||||
\(348\) | 11.3052 | + | 42.1592i | 0.606024 | + | 2.25997i | ||||
\(349\) | −5.88580 | + | 10.1945i | −0.315060 | + | 0.545700i | −0.979450 | − | 0.201686i | \(-0.935358\pi\) |
0.664390 | + | 0.747386i | \(0.268691\pi\) | |||||||
\(350\) | −20.7452 | − | 5.32691i | −1.10888 | − | 0.284736i | ||||
\(351\) | −1.81632 | + | 0.0962417i | −0.0969480 | + | 0.00513700i | ||||
\(352\) | 6.65847 | + | 4.83766i | 0.354898 | + | 0.257848i | ||||
\(353\) | −8.12194 | − | 1.72637i | −0.432287 | − | 0.0918855i | −0.0133714 | − | 0.999911i | \(-0.504256\pi\) |
−0.418916 | + | 0.908025i | \(0.637590\pi\) | |||||||
\(354\) | −8.42249 | + | 21.9540i | −0.447650 | + | 1.16684i | ||||
\(355\) | −26.0104 | − | 15.7528i | −1.38049 | − | 0.836073i | ||||
\(356\) | −35.9092 | + | 7.63274i | −1.90319 | + | 0.404535i | ||||
\(357\) | 7.80961 | − | 2.99955i | 0.413328 | − | 0.158753i | ||||
\(358\) | 13.3462 | + | 14.8225i | 0.705369 | + | 0.783392i | ||||
\(359\) | −18.6157 | + | 13.5251i | −0.982499 | + | 0.713828i | −0.958266 | − | 0.285879i | \(-0.907715\pi\) |
−0.0242336 | + | 0.999706i | \(0.507715\pi\) | |||||||
\(360\) | −7.58861 | + | 21.8178i | −0.399955 | + | 1.14990i | ||||
\(361\) | −5.75958 | − | 4.18458i | −0.303136 | − | 0.220241i | ||||
\(362\) | 0.787276 | + | 7.49043i | 0.0413783 | + | 0.393688i | ||||
\(363\) | −5.75479 | − | 11.2890i | −0.302048 | − | 0.592521i | ||||
\(364\) | 0.232637 | − | 2.21339i | 0.0121935 | − | 0.116013i | ||||
\(365\) | 28.8008 | − | 2.41817i | 1.50750 | − | 0.126573i | ||||
\(366\) | 15.0699 | + | 29.5622i | 0.787714 | + | 1.54524i | ||||
\(367\) | 23.6129 | + | 26.2247i | 1.23258 | + | 1.36892i | 0.905736 | + | 0.423842i | \(0.139319\pi\) |
0.326845 | + | 0.945078i | \(0.394014\pi\) | |||||||
\(368\) | −8.39081 | −0.437401 | ||||||||
\(369\) | 3.33576 | + | 7.48447i | 0.173652 | + | 0.389626i | ||||
\(370\) | 5.11823 | + | 26.8322i | 0.266084 | + | 1.39494i | ||||
\(371\) | −4.21442 | − | 0.895802i | −0.218802 | − | 0.0465077i | ||||
\(372\) | −26.6357 | − | 32.8794i | −1.38100 | − | 1.70472i | ||||
\(373\) | −2.06339 | + | 19.6318i | −0.106838 | + | 1.01650i | 0.801424 | + | 0.598096i | \(0.204076\pi\) |
−0.908262 | + | 0.418401i | \(0.862591\pi\) | |||||||
\(374\) | 5.92152 | + | 10.2564i | 0.306195 | + | 0.530344i | ||||
\(375\) | −18.9823 | + | 3.83069i | −0.980239 | + | 0.197816i | ||||
\(376\) | 19.3540 | − | 33.5221i | 0.998106 | − | 1.72877i | ||||
\(377\) | −2.05541 | − | 1.49334i | −0.105859 | − | 0.0769112i | ||||
\(378\) | −7.98871 | − | 20.7754i | −0.410895 | − | 1.06857i | ||||
\(379\) | −3.23744 | − | 9.96380i | −0.166296 | − | 0.511806i | 0.832834 | − | 0.553524i | \(-0.186717\pi\) |
−0.999129 | + | 0.0417174i | \(0.986717\pi\) | |||||||
\(380\) | 37.4712 | + | 13.0493i | 1.92223 | + | 0.669413i | ||||
\(381\) | 16.4808 | − | 10.7073i | 0.844339 | − | 0.548552i | ||||
\(382\) | −10.5169 | − | 18.2158i | −0.538092 | − | 0.932003i | ||||
\(383\) | −12.3836 | + | 2.63221i | −0.632770 | + | 0.134500i | −0.513120 | − | 0.858317i | \(-0.671511\pi\) |
−0.119650 | + | 0.992816i | \(0.538177\pi\) | |||||||
\(384\) | 18.9425 | − | 29.1812i | 0.966656 | − | 1.48915i | ||||
\(385\) | 4.48548 | + | 6.45390i | 0.228601 | + | 0.328921i | ||||
\(386\) | −3.50396 | − | 2.54578i | −0.178347 | − | 0.129577i | ||||
\(387\) | 22.5856 | − | 7.34812i | 1.14809 | − | 0.373526i | ||||
\(388\) | 38.6923 | − | 28.1116i | 1.96430 | − | 1.42715i | ||||
\(389\) | 1.65129 | − | 0.735200i | 0.0837236 | − | 0.0372761i | −0.364448 | − | 0.931224i | \(-0.618742\pi\) |
0.448171 | + | 0.893948i | \(0.352076\pi\) | |||||||
\(390\) | −1.07479 | − | 2.98364i | −0.0544242 | − | 0.151083i | ||||
\(391\) | 18.1963 | + | 8.10152i | 0.920227 | + | 0.409712i | ||||
\(392\) | −12.2831 | + | 2.61085i | −0.620389 | + | 0.131868i | ||||
\(393\) | −1.27230 | + | 8.04303i | −0.0641792 | + | 0.405717i | ||||
\(394\) | −27.3954 | − | 30.4256i | −1.38016 | − | 1.53282i | ||||
\(395\) | 12.7507 | − | 7.00957i | 0.641556 | − | 0.352690i | ||||
\(396\) | 17.3109 | − | 10.0033i | 0.869904 | − | 0.502686i | ||||
\(397\) | 8.63713 | + | 26.5824i | 0.433485 | + | 1.33413i | 0.894631 | + | 0.446806i | \(0.147439\pi\) |
−0.461146 | + | 0.887324i | \(0.652561\pi\) | |||||||
\(398\) | 43.1272 | − | 19.2015i | 2.16177 | − | 0.962482i | ||||
\(399\) | −15.1320 | + | 5.81199i | −0.757549 | + | 0.290963i | ||||
\(400\) | −5.55074 | − | 0.232760i | −0.277537 | − | 0.0116380i | ||||
\(401\) | 9.31544 | + | 16.1348i | 0.465191 | + | 0.805734i | 0.999210 | − | 0.0397380i | \(-0.0126523\pi\) |
−0.534019 | + | 0.845472i | \(0.679319\pi\) | |||||||
\(402\) | −4.98800 | − | 18.6011i | −0.248779 | − | 0.927741i | ||||
\(403\) | 2.40915 | + | 0.512081i | 0.120008 | + | 0.0255086i | ||||
\(404\) | −6.58044 | − | 20.2525i | −0.327389 | − | 1.00760i | ||||
\(405\) | −14.6807 | − | 13.7651i | −0.729489 | − | 0.683993i | ||||
\(406\) | 9.60765 | − | 29.5693i | 0.476820 | − | 1.46750i | ||||
\(407\) | 5.01189 | − | 8.68085i | 0.248430 | − | 0.430294i | ||||
\(408\) | 13.1921 | − | 8.57066i | 0.653106 | − | 0.424311i | ||||
\(409\) | −32.3359 | − | 14.3969i | −1.59891 | − | 0.711879i | −0.602624 | − | 0.798025i | \(-0.705878\pi\) |
−0.996283 | + | 0.0861459i | \(0.972545\pi\) | |||||||
\(410\) | −10.8154 | + | 9.33539i | −0.534133 | + | 0.461042i | ||||
\(411\) | −16.5800 | − | 4.43918i | −0.817832 | − | 0.218969i | ||||
\(412\) | 2.89285 | + | 27.5236i | 0.142520 | + | 1.35599i | ||||
\(413\) | 8.59780 | − | 6.24667i | 0.423070 | − | 0.307378i | ||||
\(414\) | 21.5365 | − | 48.4220i | 1.05846 | − | 2.37981i | ||||
\(415\) | 20.7752 | + | 2.62474i | 1.01982 | + | 0.128843i | ||||
\(416\) | 0.156890 | + | 1.49271i | 0.00769216 | + | 0.0731860i | ||||
\(417\) | −14.3400 | − | 7.30310i | −0.702231 | − | 0.357634i | ||||
\(418\) | −11.4736 | − | 19.8729i | −0.561194 | − | 0.972017i | ||||
\(419\) | −2.54495 | + | 0.540947i | −0.124329 | + | 0.0264270i | −0.269656 | − | 0.962957i | \(-0.586910\pi\) |
0.145327 | + | 0.989384i | \(0.453577\pi\) | |||||||
\(420\) | 19.4546 | − | 15.0962i | 0.949286 | − | 0.736619i | ||||
\(421\) | 6.57273 | + | 1.39708i | 0.320335 | + | 0.0680893i | 0.365273 | − | 0.930900i | \(-0.380976\pi\) |
−0.0449378 | + | 0.998990i | \(0.514309\pi\) | |||||||
\(422\) | 0.597142 | + | 1.83781i | 0.0290684 | + | 0.0894634i | ||||
\(423\) | 19.8320 | + | 27.2743i | 0.964265 | + | 1.32612i | ||||
\(424\) | −8.10215 | −0.393475 | ||||||||
\(425\) | 11.8126 | + | 5.86414i | 0.572996 | + | 0.284452i | ||||
\(426\) | 51.4363 | − | 19.7559i | 2.49210 | − | 0.957177i | ||||
\(427\) | 1.56759 | − | 14.9147i | 0.0758612 | − | 0.721771i | ||||
\(428\) | −30.1079 | + | 33.4383i | −1.45532 | + | 1.61630i | ||||
\(429\) | −0.416837 | + | 1.08652i | −0.0201251 | + | 0.0524578i | ||||
\(430\) | 23.6336 | + | 34.0051i | 1.13972 | + | 1.63987i | ||||
\(431\) | −8.85920 | + | 27.2658i | −0.426732 | + | 1.31335i | 0.474593 | + | 0.880205i | \(0.342595\pi\) |
−0.901326 | + | 0.433142i | \(0.857405\pi\) | |||||||
\(432\) | −3.14731 | − | 4.84031i | −0.151425 | − | 0.232879i | ||||
\(433\) | −5.20231 | + | 16.0111i | −0.250007 | + | 0.769443i | 0.744765 | + | 0.667327i | \(0.232561\pi\) |
−0.994772 | + | 0.102116i | \(0.967439\pi\) | |||||||
\(434\) | 3.15056 | + | 29.9756i | 0.151232 | + | 1.43887i | ||||
\(435\) | −3.82010 | − | 27.8497i | −0.183160 | − | 1.33529i | ||||
\(436\) | 1.84505 | − | 17.5545i | 0.0883618 | − | 0.840706i | ||||
\(437\) | −35.2575 | − | 15.6976i | −1.68659 | − | 0.750920i | ||||
\(438\) | −28.5142 | + | 43.9265i | −1.36246 | + | 2.09889i | ||||
\(439\) | 7.10691 | − | 3.16420i | 0.339194 | − | 0.151019i | −0.230069 | − | 0.973174i | \(-0.573895\pi\) |
0.569263 | + | 0.822155i | \(0.307229\pi\) | |||||||
\(440\) | 10.7738 | + | 10.1175i | 0.513621 | + | 0.482332i | ||||
\(441\) | 2.27045 | − | 10.7019i | 0.108116 | − | 0.509613i | ||||
\(442\) | −0.667405 | + | 2.05406i | −0.0317452 | + | 0.0977017i | ||||
\(443\) | 6.75591 | − | 11.7016i | 0.320983 | − | 0.555959i | −0.659708 | − | 0.751522i | \(-0.729320\pi\) |
0.980691 | + | 0.195563i | \(0.0626534\pi\) | |||||||
\(444\) | −27.9852 | − | 14.2524i | −1.32812 | − | 0.676389i | ||||
\(445\) | 23.5599 | − | 1.97813i | 1.11685 | − | 0.0937725i | ||||
\(446\) | 7.65950 | − | 8.50673i | 0.362688 | − | 0.402806i | ||||
\(447\) | −23.1784 | + | 3.67568i | −1.09630 | + | 0.173853i | ||||
\(448\) | −20.4973 | + | 9.12598i | −0.968405 | + | 0.431162i | ||||
\(449\) | −32.5272 | −1.53506 | −0.767528 | − | 0.641016i | \(-0.778513\pi\) | ||||
−0.767528 | + | 0.641016i | \(0.778513\pi\) | |||||||
\(450\) | 15.5902 | − | 31.4350i | 0.734929 | − | 1.48186i | ||||
\(451\) | 5.24275 | 0.246872 | ||||||||
\(452\) | 42.3962 | − | 18.8760i | 1.99415 | − | 0.887853i | ||||
\(453\) | −2.00507 | − | 2.47507i | −0.0942062 | − | 0.116289i | ||||
\(454\) | 26.1910 | − | 29.0880i | 1.22920 | − | 1.36517i | ||||
\(455\) | −0.327313 | + | 1.39544i | −0.0153447 | + | 0.0654192i | ||||
\(456\) | −25.5612 | + | 16.6067i | −1.19701 | + | 0.777678i | ||||
\(457\) | −1.62771 | + | 2.81927i | −0.0761410 | + | 0.131880i | −0.901582 | − | 0.432608i | \(-0.857593\pi\) |
0.825441 | + | 0.564489i | \(0.190927\pi\) | |||||||
\(458\) | −2.67388 | + | 8.22935i | −0.124942 | + | 0.384532i | ||||
\(459\) | 2.15183 | + | 13.5355i | 0.100439 | + | 0.631783i | ||||
\(460\) | 58.1669 | + | 7.34880i | 2.71204 | + | 0.342639i | ||||
\(461\) | −23.3371 | + | 10.3904i | −1.08692 | + | 0.483927i | −0.870397 | − | 0.492351i | \(-0.836138\pi\) |
−0.216521 | + | 0.976278i | \(0.569471\pi\) | |||||||
\(462\) | −14.2219 | − | 0.742591i | −0.661662 | − | 0.0345485i | ||||
\(463\) | 30.0355 | + | 13.3727i | 1.39587 | + | 0.621481i | 0.960375 | − | 0.278711i | \(-0.0899072\pi\) |
0.435494 | + | 0.900192i | \(0.356574\pi\) | |||||||
\(464\) | 0.842984 | − | 8.02046i | 0.0391346 | − | 0.372340i | ||||
\(465\) | 14.3644 | + | 23.1580i | 0.666134 | + | 1.07393i | ||||
\(466\) | 0.0685981 | + | 0.652668i | 0.00317775 | + | 0.0302342i | ||||
\(467\) | −3.22065 | + | 9.91215i | −0.149034 | + | 0.458680i | −0.997508 | − | 0.0705580i | \(-0.977522\pi\) |
0.848474 | + | 0.529238i | \(0.177522\pi\) | |||||||
\(468\) | 3.46808 | + | 1.12537i | 0.160312 | + | 0.0520203i | ||||
\(469\) | −2.68968 | + | 8.27799i | −0.124198 | + | 0.382242i | ||||
\(470\) | −35.5493 | + | 46.8334i | −1.63977 | + | 2.16027i | ||||
\(471\) | −0.580233 | + | 0.0920145i | −0.0267357 | + | 0.00423980i | ||||
\(472\) | 13.3723 | − | 14.8515i | 0.615512 | − | 0.683595i | ||||
\(473\) | 1.58843 | − | 15.1129i | 0.0730361 | − | 0.694892i | ||||
\(474\) | −4.11936 | + | 26.0411i | −0.189208 | + | 1.19611i | ||||
\(475\) | −22.8883 | − | 11.3625i | −1.05019 | − | 0.521345i | ||||
\(476\) | −16.7702 | −0.768659 | ||||||||
\(477\) | 2.86850 | − | 6.44944i | 0.131340 | − | 0.295300i | ||||
\(478\) | −13.6363 | − | 41.9682i | −0.623709 | − | 1.91958i | ||||
\(479\) | 25.2389 | + | 5.36469i | 1.15319 | + | 0.245119i | 0.744545 | − | 0.667572i | \(-0.232666\pi\) |
0.408650 | + | 0.912691i | \(0.366000\pi\) | |||||||
\(480\) | −10.7167 | + | 12.6862i | −0.489148 | + | 0.579043i | ||||
\(481\) | 1.78805 | − | 0.380062i | 0.0815281 | − | 0.0173293i | ||||
\(482\) | 17.8118 | + | 30.8510i | 0.811306 | + | 1.40522i | ||||
\(483\) | −20.0852 | + | 13.0490i | −0.913907 | + | 0.593749i | ||||
\(484\) | 2.65510 | + | 25.2616i | 0.120686 | + | 1.14825i | ||||
\(485\) | −26.9912 | + | 14.8382i | −1.22561 | + | 0.673766i | ||||
\(486\) | 36.0108 | − | 5.73910i | 1.63348 | − | 0.260331i | ||||
\(487\) | −2.52369 | + | 1.83357i | −0.114359 | + | 0.0830868i | −0.643495 | − | 0.765450i | \(-0.722516\pi\) |
0.529136 | + | 0.848537i | \(0.322516\pi\) | |||||||
\(488\) | −2.94782 | − | 28.0466i | −0.133441 | − | 1.26961i | ||||
\(489\) | 8.30459 | + | 30.9693i | 0.375547 | + | 1.40048i | ||||
\(490\) | 19.0079 | − | 1.59594i | 0.858689 | − | 0.0720972i | ||||
\(491\) | −3.78904 | − | 1.68699i | −0.170997 | − | 0.0761328i | 0.319453 | − | 0.947602i | \(-0.396501\pi\) |
−0.490450 | + | 0.871469i | \(0.663168\pi\) | |||||||
\(492\) | −0.862832 | − | 16.4034i | −0.0388995 | − | 0.739521i | ||||
\(493\) | −9.57204 | + | 16.5793i | −0.431103 | + | 0.746692i | ||||
\(494\) | 1.29318 | − | 3.97999i | 0.0581827 | − | 0.179068i | ||||
\(495\) | −11.8681 | + | 4.99411i | −0.533429 | + | 0.224468i | ||||
\(496\) | 2.41594 | + | 7.43548i | 0.108479 | + | 0.333863i | ||||
\(497\) | −24.3588 | − | 5.17761i | −1.09264 | − | 0.232248i | ||||
\(498\) | −26.8248 | + | 26.8352i | −1.20205 | + | 1.20251i | ||||
\(499\) | −5.49337 | − | 9.51479i | −0.245917 | − | 0.425941i | 0.716472 | − | 0.697616i | \(-0.245756\pi\) |
−0.962389 | + | 0.271675i | \(0.912422\pi\) | |||||||
\(500\) | 38.2751 | + | 6.47497i | 1.71171 | + | 0.289569i | ||||
\(501\) | 2.68689 | − | 16.9855i | 0.120041 | − | 0.758858i | ||||
\(502\) | −17.5179 | + | 7.79949i | −0.781864 | + | 0.348108i | ||||
\(503\) | −0.0760290 | − | 0.233993i | −0.00338996 | − | 0.0104332i | 0.949347 | − | 0.314229i | \(-0.101746\pi\) |
−0.952737 | + | 0.303796i | \(0.901746\pi\) | |||||||
\(504\) | 0.00728756 | + | 18.9174i | 0.000324614 | + | 0.842649i | ||||
\(505\) | 2.56964 | + | 13.4713i | 0.114347 | + | 0.599464i | ||||
\(506\) | −22.6884 | − | 25.1980i | −1.00862 | − | 1.12019i | ||||
\(507\) | 20.8214 | − | 7.99721i | 0.924713 | − | 0.355168i | ||||
\(508\) | −38.5367 | + | 8.19123i | −1.70979 | + | 0.363427i | ||||
\(509\) | 14.0356 | + | 6.24904i | 0.622115 | + | 0.276984i | 0.693490 | − | 0.720466i | \(-0.256072\pi\) |
−0.0713749 | + | 0.997450i | \(0.522739\pi\) | |||||||
\(510\) | −21.5125 | + | 10.4044i | −0.952591 | + | 0.460715i | ||||
\(511\) | 21.6228 | − | 9.62709i | 0.956536 | − | 0.425877i | ||||
\(512\) | −10.0453 | + | 7.29837i | −0.443946 | + | 0.322546i | ||||
\(513\) | −4.16942 | − | 26.2266i | −0.184085 | − | 1.15793i | ||||
\(514\) | −30.6503 | − | 22.2687i | −1.35192 | − | 0.982231i | ||||
\(515\) | 0.373447 | − | 17.8194i | 0.0164560 | − | 0.785215i | ||||
\(516\) | −47.5462 | − | 2.48261i | −2.09311 | − | 0.109291i | ||||
\(517\) | 21.1046 | − | 4.48591i | 0.928177 | − | 0.197290i | ||||
\(518\) | 11.1851 | + | 19.3731i | 0.491444 | + | 0.851206i | ||||
\(519\) | 0.859996 | + | 16.3495i | 0.0377497 | + | 0.717661i | ||||
\(520\) | −0.0564741 | + | 2.69471i | −0.00247655 | + | 0.118171i | ||||
\(521\) | −3.21801 | − | 9.90401i | −0.140983 | − | 0.433902i | 0.855489 | − | 0.517821i | \(-0.173257\pi\) |
−0.996473 | + | 0.0839183i | \(0.973257\pi\) | |||||||
\(522\) | 44.1211 | + | 25.4507i | 1.93113 | + | 1.11395i | ||||
\(523\) | 8.70698 | + | 6.32599i | 0.380730 | + | 0.276616i | 0.761646 | − | 0.647993i | \(-0.224391\pi\) |
−0.380916 | + | 0.924609i | \(0.624391\pi\) | |||||||
\(524\) | 8.16176 | − | 14.1366i | 0.356548 | − | 0.617560i | ||||
\(525\) | −13.6489 | + | 8.07508i | −0.595685 | + | 0.352425i | ||||
\(526\) | 20.1702 | + | 34.9359i | 0.879464 | + | 1.52328i | ||||
\(527\) | 1.93993 | − | 18.4572i | 0.0845049 | − | 0.804010i | ||||
\(528\) | −3.64842 | + | 0.578574i | −0.158777 | + | 0.0251792i | ||||
\(529\) | −33.2836 | − | 7.07466i | −1.44712 | − | 0.307594i | ||||
\(530\) | 12.2101 | + | 1.54262i | 0.530372 | + | 0.0670071i | ||||
\(531\) | 7.08766 | + | 15.9027i | 0.307578 | + | 0.690116i | ||||
\(532\) | 32.4942 | 1.40880 | ||||||||
\(533\) | 0.639756 | + | 0.710521i | 0.0277109 | + | 0.0307761i | ||||
\(534\) | −23.3254 | + | 35.9332i | −1.00939 | + | 1.55498i | ||||
\(535\) | 21.9363 | − | 18.9345i | 0.948390 | − | 0.818611i | ||||
\(536\) | −1.71088 | + | 16.2780i | −0.0738989 | + | 0.703101i | ||||
\(537\) | 14.7483 | + | 0.770075i | 0.636434 | + | 0.0332312i | ||||
\(538\) | −4.14170 | − | 39.4056i | −0.178561 | − | 1.69890i | ||||
\(539\) | −5.66281 | − | 4.11427i | −0.243914 | − | 0.177214i | ||||
\(540\) | 17.5786 | + | 36.3105i | 0.756463 | + | 1.56256i | ||||
\(541\) | −18.6252 | + | 13.5320i | −0.800760 | + | 0.581786i | −0.911137 | − | 0.412104i | \(-0.864794\pi\) |
0.110377 | + | 0.993890i | \(0.464794\pi\) | |||||||
\(542\) | 20.8483 | + | 23.1544i | 0.895511 | + | 0.994566i | ||||
\(543\) | 4.33458 | + | 3.50869i | 0.186015 | + | 0.150572i | ||||
\(544\) | 11.0626 | − | 2.35143i | 0.474306 | − | 0.100817i | ||||
\(545\) | −2.59592 | + | 11.0673i | −0.111197 | + | 0.474069i | ||||
\(546\) | −1.63481 | − | 2.01803i | −0.0699634 | − | 0.0863636i | ||||
\(547\) | −19.2259 | − | 4.08660i | −0.822041 | − | 0.174730i | −0.222355 | − | 0.974966i | \(-0.571374\pi\) |
−0.599686 | + | 0.800235i | \(0.704708\pi\) | |||||||
\(548\) | 27.8358 | + | 20.2239i | 1.18909 | + | 0.863922i | ||||
\(549\) | 23.3692 | + | 7.58316i | 0.997373 | + | 0.323641i | ||||
\(550\) | −14.3100 | − | 17.2985i | −0.610179 | − | 0.737611i | ||||
\(551\) | 18.5469 | − | 32.1243i | 0.790126 | − | 1.36854i | ||||
\(552\) | −31.8425 | + | 31.8548i | −1.35531 | + | 1.35583i | ||||
\(553\) | 7.97328 | − | 8.85522i | 0.339058 | − | 0.376562i | ||||
\(554\) | −30.4227 | + | 33.7879i | −1.29254 | + | 1.43551i | ||||
\(555\) | 16.7303 | + | 11.3654i | 0.710161 | + | 0.482436i | ||||
\(556\) | 21.5855 | + | 23.9732i | 0.915431 | + | 1.01669i | ||||
\(557\) | 31.2358 | 1.32350 | 0.661751 | − | 0.749724i | \(-0.269814\pi\) | ||||
0.661751 | + | 0.749724i | \(0.269814\pi\) | |||||||
\(558\) | −49.1099 | − | 5.14253i | −2.07899 | − | 0.217701i | ||||
\(559\) | 2.24200 | − | 1.62891i | 0.0948264 | − | 0.0688954i | ||||
\(560\) | −4.35555 | + | 1.31497i | −0.184055 | + | 0.0555675i | ||||
\(561\) | 8.47060 | + | 2.26794i | 0.357629 | + | 0.0957526i | ||||
\(562\) | 32.4144 | + | 14.4318i | 1.36732 | + | 0.608770i | ||||
\(563\) | −15.3024 | − | 6.81308i | −0.644921 | − | 0.287137i | 0.0580954 | − | 0.998311i | \(-0.481497\pi\) |
−0.703016 | + | 0.711174i | \(0.748164\pi\) | |||||||
\(564\) | −17.5087 | − | 65.2931i | −0.737249 | − | 2.74933i | ||||
\(565\) | −28.6122 | + | 8.63822i | −1.20373 | + | 0.363413i | ||||
\(566\) | −38.3429 | + | 27.8578i | −1.61167 | + | 1.17095i | ||||
\(567\) | −15.0612 | − | 6.69176i | −0.632509 | − | 0.281028i | ||||
\(568\) | −46.8293 | −1.96491 | ||||||||
\(569\) | 13.1713 | + | 14.6283i | 0.552171 | + | 0.613249i | 0.953024 | − | 0.302894i | \(-0.0979528\pi\) |
−0.400853 | + | 0.916142i | \(0.631286\pi\) | |||||||
\(570\) | 41.6831 | − | 20.1598i | 1.74591 | − | 0.844399i | ||||
\(571\) | 0.969716 | − | 1.07698i | 0.0405813 | − | 0.0450701i | −0.722512 | − | 0.691358i | \(-0.757013\pi\) |
0.763094 | + | 0.646288i | \(0.223679\pi\) | |||||||
\(572\) | 1.56097 | − | 1.73363i | 0.0652673 | − | 0.0724867i | ||||
\(573\) | −15.0442 | − | 4.02798i | −0.628481 | − | 0.168271i | ||||
\(574\) | −5.85015 | + | 10.1328i | −0.244180 | + | 0.422933i | ||||
\(575\) | −36.5717 | − | 9.39083i | −1.52515 | − | 0.391625i | ||||
\(576\) | −7.65624 | − | 35.9517i | −0.319010 | − | 1.49799i | ||||
\(577\) | 31.9709 | + | 23.2282i | 1.33097 | + | 0.967004i | 0.999725 | + | 0.0234587i | \(0.00746783\pi\) |
0.331243 | + | 0.943546i | \(0.392532\pi\) | |||||||
\(578\) | −22.9796 | − | 4.88446i | −0.955824 | − | 0.203167i | ||||
\(579\) | −3.16733 | + | 0.502281i | −0.131630 | + | 0.0208741i | ||||
\(580\) | −12.8682 | + | 54.8612i | −0.534322 | + | 2.27799i | ||||
\(581\) | 16.7742 | − | 3.56546i | 0.695910 | − | 0.147920i | ||||
\(582\) | 8.72004 | − | 55.1249i | 0.361457 | − | 2.28500i | ||||
\(583\) | −3.02192 | − | 3.35618i | −0.125155 | − | 0.138999i | ||||
\(584\) | 36.0086 | − | 26.1618i | 1.49005 | − | 1.08258i | ||||
\(585\) | −2.12504 | − | 0.998996i | −0.0878597 | − | 0.0413034i | ||||
\(586\) | 33.6184 | + | 24.4252i | 1.38876 | + | 1.00900i | ||||
\(587\) | −1.25291 | − | 11.9206i | −0.0517130 | − | 0.492016i | −0.989471 | − | 0.144728i | \(-0.953769\pi\) |
0.937758 | − | 0.347288i | \(-0.112897\pi\) | |||||||
\(588\) | −11.9406 | + | 18.3947i | −0.492424 | + | 0.758586i | ||||
\(589\) | −3.75885 | + | 35.7631i | −0.154881 | + | 1.47359i | ||||
\(590\) | −22.9800 | + | 19.8354i | −0.946072 | + | 0.816611i | ||||
\(591\) | −30.2733 | − | 1.58071i | −1.24528 | − | 0.0650217i | ||||
\(592\) | 3.88266 | + | 4.31214i | 0.159577 | + | 0.177228i | ||||
\(593\) | −23.8651 | −0.980022 | −0.490011 | − | 0.871716i | \(-0.663007\pi\) | ||||
−0.490011 | + | 0.871716i | \(0.663007\pi\) | |||||||
\(594\) | 6.02548 | − | 22.5395i | 0.247228 | − | 0.924806i | ||||
\(595\) | 10.7151 | + | 1.35374i | 0.439275 | + | 0.0554980i | ||||
\(596\) | 46.0160 | + | 9.78100i | 1.88489 | + | 0.400646i | ||||
\(597\) | 12.5204 | − | 32.6354i | 0.512424 | − | 1.33568i | ||||
\(598\) | 0.646354 | − | 6.14965i | 0.0264314 | − | 0.251478i | ||||
\(599\) | −20.3323 | − | 35.2166i | −0.830757 | − | 1.43891i | −0.897439 | − | 0.441138i | \(-0.854575\pi\) |
0.0666825 | − | 0.997774i | \(-0.478759\pi\) | |||||||
\(600\) | −21.9483 | + | 20.1895i | −0.896036 | + | 0.824231i | ||||
\(601\) | 10.9275 | − | 18.9269i | 0.445741 | − | 0.772046i | −0.552363 | − | 0.833604i | \(-0.686274\pi\) |
0.998104 | + | 0.0615580i | \(0.0196069\pi\) | |||||||
\(602\) | 27.4365 | + | 19.9338i | 1.11823 | + | 0.812440i | ||||
\(603\) | −12.3518 | − | 7.12497i | −0.503004 | − | 0.290151i | ||||
\(604\) | 1.97317 | + | 6.07278i | 0.0802870 | + | 0.247098i | ||||
\(605\) | 0.342755 | − | 16.3549i | 0.0139350 | − | 0.664921i | ||||
\(606\) | −22.1434 | − | 11.2773i | −0.899514 | − | 0.458107i | ||||
\(607\) | −12.4376 | − | 21.5426i | −0.504827 | − | 0.874385i | −0.999984 | − | 0.00558229i | \(-0.998223\pi\) |
0.495158 | − | 0.868803i | \(-0.335110\pi\) | |||||||
\(608\) | −21.4351 | + | 4.55618i | −0.869309 | + | 0.184777i | ||||
\(609\) | −10.4552 | − | 20.5096i | −0.423664 | − | 0.831092i | ||||
\(610\) | −0.897560 | + | 42.8280i | −0.0363412 | + | 1.73405i | ||||
\(611\) | 3.18327 | + | 2.31278i | 0.128781 | + | 0.0935651i | ||||
\(612\) | 5.70181 | − | 26.8758i | 0.230482 | − | 1.08639i | ||||
\(613\) | −6.49407 | + | 4.71822i | −0.262293 | + | 0.190567i | −0.711157 | − | 0.703033i | \(-0.751829\pi\) |
0.448864 | + | 0.893600i | \(0.351829\pi\) | |||||||
\(614\) | −18.3923 | + | 8.18876i | −0.742251 | + | 0.330472i | ||||
\(615\) | −0.772837 | + | 10.5504i | −0.0311638 | + | 0.425432i | ||||
\(616\) | 11.0572 | + | 4.92299i | 0.445508 | + | 0.198353i | ||||
\(617\) | 7.88641 | − | 1.67631i | 0.317495 | − | 0.0674857i | −0.0464078 | − | 0.998923i | \(-0.514777\pi\) |
0.363903 | + | 0.931437i | \(0.381444\pi\) | |||||||
\(618\) | 25.1021 | + | 20.3192i | 1.00975 | + | 0.817360i | ||||
\(619\) | 23.9530 | + | 26.6025i | 0.962751 | + | 1.06924i | 0.997558 | + | 0.0698494i | \(0.0222519\pi\) |
−0.0348064 | + | 0.999394i | \(0.511081\pi\) | |||||||
\(620\) | −10.2357 | − | 53.6603i | −0.411075 | − | 2.15505i | ||||
\(621\) | −14.0833 | − | 36.6251i | −0.565145 | − | 1.46971i | ||||
\(622\) | −11.5737 | − | 35.6202i | −0.464063 | − | 1.42824i | ||||
\(623\) | 17.6881 | − | 7.87524i | 0.708658 | − | 0.315515i | ||||
\(624\) | −0.523616 | − | 0.423849i | −0.0209614 | − | 0.0169675i | ||||
\(625\) | −23.9327 | − | 7.22678i | −0.957308 | − | 0.289071i | ||||
\(626\) | 9.94640 | + | 17.2277i | 0.397538 | + | 0.688556i | ||||
\(627\) | −16.4128 | − | 4.39440i | −0.655463 | − | 0.175496i | ||||
\(628\) | 1.15194 | + | 0.244851i | 0.0459672 | + | 0.00977063i | ||||
\(629\) | −4.25648 | − | 13.1001i | −0.169717 | − | 0.522336i | ||||
\(630\) | 3.59083 | − | 28.5103i | 0.143062 | − | 1.13588i | ||||
\(631\) | −5.23845 | + | 16.1223i | −0.208539 | + | 0.641818i | 0.791010 | + | 0.611803i | \(0.209555\pi\) |
−0.999549 | + | 0.0300148i | \(0.990445\pi\) | |||||||
\(632\) | 11.2037 | − | 19.4054i | 0.445661 | − | 0.771907i | ||||
\(633\) | 1.27498 | + | 0.649326i | 0.0506760 | + | 0.0258084i | ||||
\(634\) | −40.4374 | − | 18.0039i | −1.60597 | − | 0.715026i | ||||
\(635\) | 25.2837 | − | 2.12287i | 1.00335 | − | 0.0842436i | ||||
\(636\) | −10.0034 | + | 10.0072i | −0.396660 | + | 0.396813i | ||||
\(637\) | −0.133430 | − | 1.26950i | −0.00528668 | − | 0.0502994i | ||||
\(638\) | 26.3652 | − | 19.1554i | 1.04381 | − | 0.758371i | ||||
\(639\) | 16.5795 | − | 37.2769i | 0.655876 | − | 1.47465i | ||||
\(640\) | 39.3587 | − | 21.6371i | 1.55579 | − | 0.855281i | ||||
\(641\) | 1.42670 | + | 13.5742i | 0.0563514 | + | 0.536148i | 0.985887 | + | 0.167415i | \(0.0535418\pi\) |
−0.929535 | + | 0.368733i | \(0.879792\pi\) | |||||||
\(642\) | 2.75811 | + | 52.4346i | 0.108854 | + | 2.06943i | ||||
\(643\) | 7.28773 | + | 12.6227i | 0.287400 | + | 0.497792i | 0.973188 | − | 0.230009i | \(-0.0738757\pi\) |
−0.685788 | + | 0.727801i | \(0.740542\pi\) | |||||||
\(644\) | 46.9646 | − | 9.98264i | 1.85066 | − | 0.393371i | ||||
\(645\) | 30.1786 | + | 5.42431i | 1.18828 | + | 0.213582i | ||||
\(646\) | −30.8441 | − | 6.55612i | −1.21355 | − | 0.257947i | ||||
\(647\) | 5.64337 | + | 17.3685i | 0.221864 | + | 0.682826i | 0.998595 | + | 0.0529938i | \(0.0168763\pi\) |
−0.776731 | + | 0.629832i | \(0.783124\pi\) | |||||||
\(648\) | −30.3195 | − | 6.42019i | −1.19106 | − | 0.252209i | ||||
\(649\) | 11.1396 | 0.437266 | ||||||||
\(650\) | 0.598171 | − | 4.05023i | 0.0234622 | − | 0.158863i | ||||
\(651\) | 17.3464 | + | 14.0413i | 0.679857 | + | 0.550321i | ||||
\(652\) | 6.71850 | − | 63.9223i | 0.263117 | − | 2.50339i | ||||
\(653\) | −2.34266 | + | 2.60179i | −0.0916755 | + | 0.101816i | −0.787237 | − | 0.616651i | \(-0.788489\pi\) |
0.695561 | + | 0.718467i | \(0.255156\pi\) | |||||||
\(654\) | −12.9657 | − | 16.0050i | −0.506999 | − | 0.625846i | ||||
\(655\) | −6.35600 | + | 8.37355i | −0.248350 | + | 0.327182i | ||||
\(656\) | −0.937841 | + | 2.88638i | −0.0366165 | + | 0.112694i | ||||
\(657\) | 8.07665 | + | 37.9258i | 0.315100 | + | 1.47963i | ||||
\(658\) | −14.8796 | + | 45.7947i | −0.580068 | + | 1.78527i | ||||
\(659\) | −3.96337 | − | 37.7090i | −0.154391 | − | 1.46893i | −0.747742 | − | 0.663989i | \(-0.768862\pi\) |
0.593351 | − | 0.804944i | \(-0.297804\pi\) | |||||||
\(660\) | 25.7984 | − | 0.815454i | 1.00420 | − | 0.0317415i | ||||
\(661\) | −4.01695 | + | 38.2188i | −0.156241 | + | 1.48654i | 0.582656 | + | 0.812719i | \(0.302014\pi\) |
−0.738897 | + | 0.673818i | \(0.764653\pi\) | |||||||
\(662\) | 9.99628 | + | 4.45063i | 0.388516 | + | 0.172979i | ||||
\(663\) | 0.726278 | + | 1.42472i | 0.0282063 | + | 0.0553316i | ||||
\(664\) | 29.4601 | − | 13.1165i | 1.14327 | − | 0.509017i | ||||
\(665\) | −20.7617 | − | 2.62303i | −0.805105 | − | 0.101717i | ||||
\(666\) | −34.8502 | + | 11.3384i | −1.35042 | + | 0.439353i | ||||
\(667\) | 16.9374 | − | 52.1278i | 0.655817 | − | 2.01840i | ||||
\(668\) | −17.2363 | + | 29.8541i | −0.666892 | + | 1.15509i | ||||
\(669\) | −0.445213 | − | 8.46397i | −0.0172129 | − | 0.327236i | ||||
\(670\) | 5.67760 | − | 24.2054i | 0.219345 | − | 0.935137i | ||||
\(671\) | 10.5184 | − | 11.6818i | 0.406057 | − | 0.450972i | ||||
\(672\) | −4.87136 | + | 12.6976i | −0.187917 | + | 0.489822i | ||||
\(673\) | −3.09220 | + | 1.37674i | −0.119196 | + | 0.0530693i | −0.465468 | − | 0.885065i | \(-0.654114\pi\) |
0.346272 | + | 0.938134i | \(0.387447\pi\) | |||||||
\(674\) | 58.3603 | 2.24795 | ||||||||
\(675\) | −8.30052 | − | 24.6191i | −0.319487 | − | 0.947591i | ||||
\(676\) | −44.7115 | −1.71967 | ||||||||
\(677\) | −37.2359 | + | 16.5785i | −1.43109 | + | 0.637162i | −0.968410 | − | 0.249363i | \(-0.919779\pi\) |
−0.462680 | + | 0.886525i | \(0.653112\pi\) | |||||||
\(678\) | 19.3980 | − | 50.5625i | 0.744974 | − | 1.94184i | ||||
\(679\) | −16.8782 | + | 18.7451i | −0.647726 | + | 0.719372i | ||||
\(680\) | 20.2384 | − | 1.69925i | 0.776106 | − | 0.0651634i | ||||
\(681\) | −1.52237 | − | 28.9418i | −0.0583372 | − | 1.10905i | ||||
\(682\) | −15.7965 | + | 27.3604i | −0.604880 | + | 1.04768i | ||||
\(683\) | 8.88733 | − | 27.3524i | 0.340064 | − | 1.04661i | −0.624109 | − | 0.781337i | \(-0.714538\pi\) |
0.964173 | − | 0.265273i | \(-0.0854622\pi\) | |||||||
\(684\) | −11.0479 | + | 52.0751i | −0.422428 | + | 1.99114i | ||||
\(685\) | −16.1528 | − | 15.1688i | −0.617167 | − | 0.579570i | ||||
\(686\) | 41.6637 | − | 18.5499i | 1.59073 | − | 0.708237i | ||||
\(687\) | 2.90974 | + | 5.70798i | 0.111014 | + | 0.217773i | ||||
\(688\) | 8.03620 | + | 3.57795i | 0.306377 | + | 0.136408i | ||||
\(689\) | 0.0860895 | − | 0.819087i | 0.00327975 | − | 0.0312047i | ||||
\(690\) | 54.0522 | − | 41.9430i | 2.05773 | − | 1.59674i | ||||
\(691\) | 0.128443 | + | 1.22205i | 0.00488620 | + | 0.0464891i | 0.996693 | − | 0.0812554i | \(-0.0258929\pi\) |
−0.991807 | + | 0.127744i | \(0.959226\pi\) | |||||||
\(692\) | 10.1418 | − | 31.2131i | 0.385532 | − | 1.18655i | ||||
\(693\) | −7.83351 | + | 7.05879i | −0.297570 | + | 0.268141i | ||||
\(694\) | −24.0563 | + | 74.0377i | −0.913165 | + | 2.81043i | ||||
\(695\) | −11.8566 | − | 17.0598i | −0.449747 | − | 0.647115i | ||||
\(696\) | −27.2497 | − | 33.6373i | −1.03290 | − | 1.27502i | ||||
\(697\) | 4.82067 | − | 5.35389i | 0.182596 | − | 0.202793i | ||||
\(698\) | 2.87837 | − | 27.3858i | 0.108948 | − | 1.03657i | ||||
\(699\) | 0.377688 | + | 0.305725i | 0.0142855 | + | 0.0115636i | ||||
\(700\) | 31.3453 | − | 5.30099i | 1.18474 | − | 0.200359i | ||||
\(701\) | 1.48967 | 0.0562639 | 0.0281319 | − | 0.999604i | \(-0.491044\pi\) | ||||
0.0281319 | + | 0.999604i | \(0.491044\pi\) | |||||||
\(702\) | 3.78992 | − | 1.93382i | 0.143041 | − | 0.0729873i | ||||
\(703\) | 8.24744 | + | 25.3830i | 0.311058 | + | 0.957338i | ||||
\(704\) | −23.0043 | − | 4.88971i | −0.867007 | − | 0.184288i | ||||
\(705\) | 5.91629 | + | 43.1315i | 0.222820 | + | 1.62443i | ||||
\(706\) | 18.9992 | − | 4.03841i | 0.715045 | − | 0.151987i | ||||
\(707\) | 5.61554 | + | 9.72640i | 0.211194 | + | 0.365799i | ||||
\(708\) | −1.83331 | − | 34.8531i | −0.0688999 | − | 1.30986i | ||||
\(709\) | 0.602510 | + | 5.73250i | 0.0226277 | + | 0.215289i | 0.999993 | + | 0.00372988i | \(0.00118726\pi\) |
−0.977365 | + | 0.211559i | \(0.932146\pi\) | |||||||
\(710\) | 70.5726 | + | 8.91613i | 2.64854 | + | 0.334616i | ||||
\(711\) | 11.4805 | + | 15.7887i | 0.430551 | + | 0.592123i | ||||
\(712\) | 29.4561 | − | 21.4011i | 1.10391 | − | 0.802040i | ||||
\(713\) | 5.55413 | + | 52.8440i | 0.208004 | + | 1.97902i | ||||
\(714\) | −13.8352 | + | 13.8406i | −0.517771 | + | 0.517971i | ||||
\(715\) | −1.13730 | + | 0.981673i | −0.0425327 | + | 0.0367125i | ||||
\(716\) | −27.0452 | − | 12.0413i | −1.01073 | − | 0.450004i | ||||
\(717\) | −29.1153 | − | 14.8279i | −1.08733 | − | 0.553760i | ||||
\(718\) | 26.9133 | − | 46.6153i | 1.00440 | − | 1.73967i | ||||
\(719\) | 13.2328 | − | 40.7262i | 0.493498 | − | 1.51883i | −0.325786 | − | 0.945444i | \(-0.605629\pi\) |
0.819284 | − | 0.573388i | \(-0.194371\pi\) | |||||||
\(720\) | −0.626490 | − | 7.42727i | −0.0233479 | − | 0.276798i | ||||
\(721\) | −4.51047 | − | 13.8818i | −0.167979 | − | 0.516985i | ||||
\(722\) | 16.2897 | + | 3.46249i | 0.606240 | + | 0.128860i | ||||
\(723\) | 25.4794 | + | 6.82192i | 0.947589 | + | 0.253710i | ||||
\(724\) | −5.58952 | − | 9.68134i | −0.207733 | − | 0.359804i | ||||
\(725\) | 12.6505 | − | 34.0141i | 0.469829 | − | 1.26325i | ||||
\(726\) | 23.0391 | + | 18.6493i | 0.855060 | + | 0.692141i | ||||
\(727\) | −4.04978 | + | 1.80308i | −0.150198 | + | 0.0668726i | −0.480459 | − | 0.877017i | \(-0.659530\pi\) |
0.330261 | + | 0.943890i | \(0.392863\pi\) | |||||||
\(728\) | 0.682091 | + | 2.09926i | 0.0252800 | + | 0.0778038i | ||||
\(729\) | 15.8449 | − | 21.8618i | 0.586850 | − | 0.809696i | ||||
\(730\) | −59.2467 | + | 32.5704i | −2.19282 | + | 1.20548i | ||||
\(731\) | −13.9727 | − | 15.5183i | −0.516800 | − | 0.573965i | ||||
\(732\) | −38.2808 | − | 30.9870i | −1.41490 | − | 1.14531i | ||||
\(733\) | −10.5947 | + | 2.25196i | −0.391323 | + | 0.0831782i | −0.399371 | − | 0.916789i | \(-0.630771\pi\) |
0.00804825 | + | 0.999968i | \(0.497438\pi\) | |||||||
\(734\) | −75.4126 | − | 33.5758i | −2.78353 | − | 1.23931i | ||||
\(735\) | 9.11420 | − | 10.7892i | 0.336182 | − | 0.397965i | ||||
\(736\) | −29.5810 | + | 13.1703i | −1.09037 | + | 0.485464i | ||||
\(737\) | −7.38099 | + | 5.36261i | −0.271882 | + | 0.197534i | ||||
\(738\) | −14.2497 | − | 12.8205i | −0.524538 | − | 0.471930i | ||||
\(739\) | −5.09046 | − | 3.69843i | −0.187256 | − | 0.136049i | 0.490208 | − | 0.871605i | \(-0.336921\pi\) |
−0.677463 | + | 0.735556i | \(0.736921\pi\) | |||||||
\(740\) | −23.1388 | − | 33.2931i | −0.850600 | − | 1.22388i | ||||
\(741\) | −1.40725 | − | 2.76057i | −0.0516966 | − | 0.101412i | ||||
\(742\) | 9.85856 | − | 2.09550i | 0.361919 | − | 0.0769283i | ||||
\(743\) | 2.22447 | + | 3.85289i | 0.0816077 | + | 0.141349i | 0.903941 | − | 0.427658i | \(-0.140661\pi\) |
−0.822333 | + | 0.569007i | \(0.807328\pi\) | |||||||
\(744\) | 37.3963 | + | 19.0453i | 1.37101 | + | 0.698234i | ||||
\(745\) | −28.6118 | − | 9.96401i | −1.04825 | − | 0.365053i | ||||
\(746\) | −14.2694 | − | 43.9166i | −0.522438 | − | 1.60790i | ||||
\(747\) | 0.0108228 | + | 28.0945i | 0.000395987 | + | 1.02792i | ||||
\(748\) | −14.2211 | − | 10.3322i | −0.519975 | − | 0.377784i | ||||
\(749\) | 11.8656 | − | 20.5518i | 0.433559 | − | 0.750946i | ||||
\(750\) | 36.9205 | − | 26.2470i | 1.34814 | − | 0.958405i | ||||
\(751\) | −7.46181 | − | 12.9242i | −0.272285 | − | 0.471612i | 0.697161 | − | 0.716914i | \(-0.254446\pi\) |
−0.969447 | + | 0.245302i | \(0.921113\pi\) | |||||||
\(752\) | −1.30555 | + | 12.4215i | −0.0476085 | + | 0.452965i | ||||
\(753\) | −5.08568 | + | 13.2563i | −0.185332 | + | 0.483086i | ||||
\(754\) | 5.81328 | + | 1.23565i | 0.211707 | + | 0.0449998i | ||||
\(755\) | −0.770514 | − | 4.03940i | −0.0280419 | − | 0.147009i | ||||
\(756\) | 23.3745 | + | 23.3475i | 0.850123 | + | 0.849142i | ||||
\(757\) | −7.36085 | −0.267535 | −0.133767 | − | 0.991013i | \(-0.542707\pi\) | ||||
−0.133767 | + | 0.991013i | \(0.542707\pi\) | |||||||
\(758\) | 16.3985 | + | 18.2124i | 0.595622 | + | 0.661505i | ||||
\(759\) | −25.0718 | − | 1.30912i | −0.910049 | − | 0.0475179i | ||||
\(760\) | −39.2142 | + | 3.29250i | −1.42245 | + | 0.119432i | ||||
\(761\) | 4.50351 | − | 42.8480i | 0.163252 | − | 1.55324i | −0.539611 | − | 0.841914i | \(-0.681429\pi\) |
0.702863 | − | 0.711325i | \(-0.251905\pi\) | |||||||
\(762\) | −25.0322 | + | 38.5624i | −0.906819 | + | 1.39697i | ||||
\(763\) | 0.973097 | + | 9.25840i | 0.0352285 | + | 0.335177i | ||||
\(764\) | 25.2574 | + | 18.3506i | 0.913780 | + | 0.663900i | ||||
\(765\) | −5.81260 | + | 16.7117i | −0.210155 | + | 0.604212i | ||||
\(766\) | 23.9593 | − | 17.4075i | 0.865686 | − | 0.628957i | ||||
\(767\) | 1.35932 | + | 1.50968i | 0.0490823 | + | 0.0545114i | ||||
\(768\) | −6.08393 | + | 38.4604i | −0.219535 | + | 1.38782i | ||||
\(769\) | 24.6957 | − | 5.24924i | 0.890550 | − | 0.189292i | 0.260155 | − | 0.965567i | \(-0.416226\pi\) |
0.630395 | + | 0.776274i | \(0.282893\pi\) | |||||||
\(770\) | −15.7261 | − | 9.52429i | −0.566730 | − | 0.343232i | ||||
\(771\) | −27.7056 | + | 4.39361i | −0.997794 | + | 0.158232i | ||||
\(772\) | 6.28809 | + | 1.33657i | 0.226313 | + | 0.0481043i | ||||
\(773\) | 12.5696 | + | 9.13238i | 0.452099 | + | 0.328469i | 0.790424 | − | 0.612560i | \(-0.209860\pi\) |
−0.338325 | + | 0.941029i | \(0.609860\pi\) | |||||||
\(774\) | −41.2741 | + | 37.1922i | −1.48357 | + | 1.33685i | ||||
\(775\) | 2.20832 | + | 35.1118i | 0.0793252 | + | 1.26125i | ||||
\(776\) | −23.7166 | + | 41.0783i | −0.851376 | + | 1.47463i | ||||
\(777\) | 16.0000 | + | 4.28388i | 0.573997 | + | 0.153684i | ||||
\(778\) | −2.82930 | + | 3.14226i | −0.101435 | + | 0.112655i | ||||
\(779\) | −9.34061 | + | 10.3738i | −0.334662 | + | 0.371680i | ||||
\(780\) | 3.25860 | + | 3.39680i | 0.116677 | + | 0.121625i | ||||
\(781\) | −17.4663 | − | 19.3982i | −0.624992 | − | 0.694124i | ||||
\(782\) | −46.5939 | −1.66619 | ||||||||
\(783\) | 36.4234 | − | 9.78218i | 1.30167 | − | 0.349587i | ||||
\(784\) | 3.27808 | − | 2.38166i | 0.117074 | − | 0.0850593i | ||||
\(785\) | −0.716249 | − | 0.249432i | −0.0255640 | − | 0.00890263i | ||||
\(786\) | −4.93367 | − | 18.3985i | −0.175978 | − | 0.656254i | ||||
\(787\) | 20.1517 | + | 8.97212i | 0.718331 | + | 0.319822i | 0.733149 | − | 0.680069i | \(-0.238050\pi\) |
−0.0148173 | + | 0.999890i | \(0.504717\pi\) | |||||||
\(788\) | 55.5148 | + | 24.7168i | 1.97763 | + | 0.880499i | ||||
\(789\) | 28.8531 | + | 7.72520i | 1.02720 | + | 0.275025i | ||||
\(790\) | −20.5790 | + | 27.1112i | −0.732166 | + | 0.964573i | ||||
\(791\) | −19.8017 | + | 14.3868i | −0.704068 | + | 0.511536i | ||||
\(792\) | −11.6490 | + | 16.0465i | −0.413929 | + | 0.570186i | ||||
\(793\) | 2.86669 | 0.101799 | ||||||||
\(794\) | −43.7496 | − | 48.5888i | −1.55261 | − | 1.72435i | ||||
\(795\) | 7.19934 | − | 5.58649i | 0.255334 | − | 0.198132i | ||||
\(796\) | −46.8861 | + | 52.0723i | −1.66183 | + | 1.84565i | ||||
\(797\) | −15.4348 | + | 17.1421i | −0.546730 | + | 0.607205i | −0.951664 | − | 0.307141i | \(-0.900628\pi\) |
0.404934 | + | 0.914346i | \(0.367294\pi\) | |||||||
\(798\) | 26.8074 | − | 26.8177i | 0.948972 | − | 0.949338i | ||||
\(799\) | 14.8245 | − | 25.6767i | 0.524452 | − | 0.908377i | ||||
\(800\) | −19.9340 | + | 7.89194i | −0.704772 | + | 0.279022i | ||||
\(801\) | 6.60693 | + | 31.0244i | 0.233444 | + | 1.09619i | ||||
\(802\) | −35.2587 | − | 25.6170i | −1.24503 | − | 0.904567i | ||||
\(803\) | 24.2675 | + | 5.15821i | 0.856380 | + | 0.182029i | ||||
\(804\) | 17.9931 | + | 22.2109i | 0.634568 | + | 0.783317i | ||||
\(805\) | −30.8133 | + | 2.58714i | −1.08602 | + | 0.0911847i | ||||
\(806\) | −5.63559 | + | 1.19788i | −0.198505 | + | 0.0421936i | ||||
\(807\) | −22.8034 | − | 18.4585i | −0.802717 | − | 0.649771i | ||||
\(808\) | 14.1319 | + | 15.6950i | 0.497157 | + | 0.552149i | ||||
\(809\) | 37.9002 | − | 27.5361i | 1.33250 | − | 0.968117i | 0.332815 | − | 0.942992i | \(-0.392002\pi\) |
0.999684 | − | 0.0251253i | \(-0.00799846\pi\) | |||||||
\(810\) | 44.4696 | + | 15.4481i | 1.56250 | + | 0.542790i | ||||
\(811\) | 2.78560 | + | 2.02385i | 0.0978155 | + | 0.0710671i | 0.635618 | − | 0.772004i | \(-0.280745\pi\) |
−0.537802 | + | 0.843071i | \(0.680745\pi\) | |||||||
\(812\) | 4.82372 | + | 45.8946i | 0.169279 | + | 1.61059i | ||||
\(813\) | 23.0384 | + | 1.20294i | 0.807994 | + | 0.0421891i | ||||
\(814\) | −2.45099 | + | 23.3196i | −0.0859072 | + | 0.817353i | ||||
\(815\) | −9.45271 | + | 40.3000i | −0.331114 | + | 1.41165i | ||||
\(816\) | −2.76386 | + | 4.25776i | −0.0967543 | + | 0.149051i | ||||
\(817\) | 27.0738 | + | 30.0685i | 0.947193 | + | 1.05196i | ||||
\(818\) | 82.8000 | 2.89503 | ||||||||
\(819\) | −1.91253 | − | 0.200271i | −0.0668294 | − | 0.00699802i | ||||
\(820\) | 9.02924 | − | 19.1876i | 0.315315 | − | 0.670060i | ||||
\(821\) | 20.9987 | + | 4.46341i | 0.732860 | + | 0.155774i | 0.559202 | − | 0.829032i | \(-0.311108\pi\) |
0.173658 | + | 0.984806i | \(0.444441\pi\) | |||||||
\(822\) | 39.6553 | − | 6.28861i | 1.38314 | − | 0.219340i | ||||
\(823\) | 1.07907 | − | 10.2667i | 0.0376141 | − | 0.357875i | −0.959485 | − | 0.281760i | \(-0.909082\pi\) |
0.997099 | − | 0.0761147i | \(-0.0242515\pi\) | |||||||
\(824\) | −13.7239 | − | 23.7704i | −0.478094 | − | 0.828082i | ||||
\(825\) | −16.5494 | − | 1.56150i | −0.576175 | − | 0.0543646i | ||||
\(826\) | −12.4301 | + | 21.5296i | −0.432499 | + | 0.749111i | ||||
\(827\) | −26.2851 | − | 19.0973i | −0.914024 | − | 0.664077i | 0.0280054 | − | 0.999608i | \(-0.491084\pi\) |
−0.942029 | + | 0.335531i | \(0.891084\pi\) | |||||||
\(828\) | 0.0303020 | + | 78.6594i | 0.00105307 | + | 2.73360i | ||||
\(829\) | −12.1262 | − | 37.3205i | −0.421160 | − | 1.29620i | −0.906624 | − | 0.421940i | \(-0.861349\pi\) |
0.485464 | − | 0.874257i | \(-0.338651\pi\) | |||||||
\(830\) | −46.8941 | + | 14.1576i | −1.62772 | + | 0.491419i | ||||
\(831\) | 1.76834 | + | 33.6180i | 0.0613430 | + | 1.16620i | ||||
\(832\) | −2.14446 | − | 3.71432i | −0.0743458 | − | 0.128771i | ||||
\(833\) | −9.40839 | + | 1.99982i | −0.325981 | + | 0.0692895i | ||||
\(834\) | 37.5932 | + | 1.96291i | 1.30175 | + | 0.0679702i | ||||
\(835\) | 13.4228 | − | 17.6835i | 0.464516 | − | 0.611964i | ||||
\(836\) | 27.5551 | + | 20.0199i | 0.953012 | + | 0.692404i | ||||
\(837\) | −28.4002 | + | 23.0252i | −0.981655 | + | 0.795868i | ||||
\(838\) | 4.92390 | − | 3.57742i | 0.170093 | − | 0.123580i | ||||
\(839\) | −15.6689 | + | 6.97622i | −0.540949 | + | 0.240846i | −0.658975 | − | 0.752164i | \(-0.729010\pi\) |
0.118026 | + | 0.993010i | \(0.462343\pi\) | |||||||
\(840\) | −11.5368 | + | 21.5256i | −0.398059 | + | 0.742702i | ||||
\(841\) | 21.6326 | + | 9.63146i | 0.745952 | + | 0.332119i | ||||
\(842\) | −15.3752 | + | 3.26810i | −0.529865 | + | 0.112626i | ||||
\(843\) | 24.5252 | − | 9.41976i | 0.844693 | − | 0.324434i | ||||
\(844\) | −1.91919 | − | 2.13148i | −0.0660614 | − | 0.0733686i | ||||
\(845\) | 28.5678 | + | 3.60925i | 0.982762 | + | 0.124162i | ||||
\(846\) | −68.3315 | − | 39.4161i | −2.34929 | − | 1.35515i | ||||
\(847\) | −4.13978 | − | 12.7409i | −0.142245 | − | 0.437784i | ||||
\(848\) | 2.38830 | − | 1.06334i | 0.0820146 | − | 0.0365153i | ||||
\(849\) | −5.48298 | + | 34.6614i | −0.188175 | + | 1.18957i | ||||
\(850\) | −30.8231 | − | 1.29251i | −1.05722 | − | 0.0443327i | ||||
\(851\) | 19.7182 | + | 34.1529i | 0.675931 | + | 1.17075i | ||||
\(852\) | −57.8181 | + | 57.8404i | −1.98082 | + | 1.98158i | ||||
\(853\) | 4.46538 | + | 0.949146i | 0.152892 | + | 0.0324982i | 0.283722 | − | 0.958907i | \(-0.408431\pi\) |
−0.130830 | + | 0.991405i | \(0.541764\pi\) | |||||||
\(854\) | 10.8407 | + | 33.3642i | 0.370961 | + | 1.14170i | ||||
\(855\) | 11.2626 | − | 32.3809i | 0.385173 | − | 1.10740i | ||||
\(856\) | 13.7901 | − | 42.4416i | 0.471337 | − | 1.45062i | ||||
\(857\) | −1.28768 | + | 2.23032i | −0.0439863 | + | 0.0761864i | −0.887180 | − | 0.461423i | \(-0.847339\pi\) |
0.843194 | + | 0.537609i | \(0.180672\pi\) | |||||||
\(858\) | −0.142996 | − | 2.71851i | −0.00488181 | − | 0.0928084i | ||||
\(859\) | 33.4553 | + | 14.8952i | 1.14148 | + | 0.508219i | 0.888329 | − | 0.459208i | \(-0.151867\pi\) |
0.253150 | + | 0.967427i | \(0.418533\pi\) | |||||||
\(860\) | −52.5751 | − | 31.8413i | −1.79280 | − | 1.08578i | ||||
\(861\) | 2.24383 | + | 8.36764i | 0.0764695 | + | 0.285168i | ||||
\(862\) | −7.01007 | − | 66.6963i | −0.238764 | − | 2.27169i | ||||
\(863\) | −1.15071 | + | 0.836039i | −0.0391706 | + | 0.0284591i | −0.607198 | − | 0.794550i | \(-0.707707\pi\) |
0.568028 | + | 0.823009i | \(0.307707\pi\) | |||||||
\(864\) | −18.6929 | − | 12.1240i | −0.635947 | − | 0.412466i | ||||
\(865\) | −8.99957 | + | 19.1245i | −0.305995 | + | 0.650254i | ||||
\(866\) | −4.11646 | − | 39.1655i | −0.139883 | − | 1.33090i | ||||
\(867\) | −14.5868 | + | 9.47676i | −0.495393 | + | 0.321848i | ||||
\(868\) | −22.3684 | − | 38.7433i | −0.759234 | − | 1.31503i | ||||
\(869\) | 12.2171 | − | 2.59683i | 0.414437 | − | 0.0880914i | ||||
\(870\) | 34.6613 | + | 55.8803i | 1.17513 | + | 1.89452i | ||||
\(871\) | −1.62744 | − | 0.345923i | −0.0551438 | − | 0.0117212i | ||||
\(872\) | 5.40967 | + | 16.6493i | 0.183195 | + | 0.563815i | ||||
\(873\) | −24.3024 | − | 33.4222i | −0.822510 | − | 1.13117i | ||||
\(874\) | 90.2812 | 3.05381 | ||||||||
\(875\) | −20.4556 | + | 0.856707i | −0.691524 | + | 0.0289620i | ||||
\(876\) | 12.1450 | − | 76.7763i | 0.410342 | − | 2.59403i | ||||
\(877\) | −4.24444 | + | 40.3832i | −0.143325 | + | 1.36364i | 0.652350 | + | 0.757918i | \(0.273783\pi\) |
−0.795674 | + | 0.605725i | \(0.792883\pi\) | |||||||
\(878\) | −12.1769 | + | 13.5238i | −0.410951 | + | 0.456407i | ||||
\(879\) | 30.3886 | − | 4.81909i | 1.02498 | − | 0.162544i | ||||
\(880\) | −4.50367 | − | 1.56840i | −0.151819 | − | 0.0528706i | ||||
\(881\) | −5.17310 | + | 15.9212i | −0.174286 | + | 0.536398i | −0.999600 | − | 0.0282762i | \(-0.990998\pi\) |
0.825314 | + | 0.564674i | \(0.190998\pi\) | |||||||
\(882\) | 5.33042 | + | 25.0302i | 0.179484 | + | 0.842811i | ||||
\(883\) | −8.19206 | + | 25.2126i | −0.275685 | + | 0.848470i | 0.713353 | + | 0.700805i | \(0.247176\pi\) |
−0.989037 | + | 0.147665i | \(0.952824\pi\) | |||||||
\(884\) | −0.335084 | − | 3.18812i | −0.0112701 | − | 0.107228i | ||||
\(885\) | −1.64209 | + | 22.4169i | −0.0551982 | + | 0.753537i | ||||
\(886\) | −3.30388 | + | 31.4343i | −0.110996 | + | 1.05606i | ||||
\(887\) | −9.70153 | − | 4.31940i | −0.325745 | − | 0.145031i | 0.237347 | − | 0.971425i | \(-0.423722\pi\) |
−0.563093 | + | 0.826394i | \(0.690389\pi\) | |||||||
\(888\) | 31.1050 | + | 1.62413i | 1.04381 | + | 0.0545024i | ||||
\(889\) | 18.9823 | − | 8.45147i | 0.636646 | − | 0.283453i | ||||
\(890\) | −48.4655 | + | 26.6435i | −1.62457 | + | 0.893092i | ||||
\(891\) | −8.64902 | − | 14.9539i | −0.289753 | − | 0.500975i | ||||
\(892\) | −5.25030 | + | 16.1588i | −0.175793 | + | 0.541036i | ||||
\(893\) | −28.7241 | + | 49.7517i | −0.961216 | + | 1.66488i | ||||
\(894\) | 46.0352 | − | 29.9082i | 1.53965 | − | 1.00028i | ||||
\(895\) | 16.3081 | + | 9.87679i | 0.545121 | + | 0.330145i | ||||
\(896\) | 24.6119 | − | 27.3343i | 0.822225 | − | 0.913173i | ||||
\(897\) | −2.88201 | − | 3.55759i | −0.0962276 | − | 0.118784i | ||||
\(898\) | 69.5110 | − | 30.9483i | 2.31961 | − | 1.03276i | ||||
\(899\) | −51.0696 | −1.70327 | ||||||||
\(900\) | −2.16196 | + | 52.0361i | −0.0720652 | + | 1.73454i | ||||
\(901\) | −6.20595 | −0.206750 | ||||||||
\(902\) | −11.2038 | + | 4.98825i | −0.373046 | + | 0.166091i | ||||
\(903\) | 24.8006 | − | 3.93293i | 0.825313 | − | 0.130880i | ||||
\(904\) | −30.7981 | + | 34.2047i | −1.02433 | + | 1.13763i | ||||
\(905\) | 2.78984 | + | 6.63697i | 0.0927376 | + | 0.220620i | ||||
\(906\) | 6.63976 | + | 3.38152i | 0.220591 | + | 0.112343i | ||||
\(907\) | −14.7362 | + | 25.5239i | −0.489309 | + | 0.847508i | −0.999924 | − | 0.0123013i | \(-0.996084\pi\) |
0.510615 | + | 0.859809i | \(0.329418\pi\) | |||||||
\(908\) | −17.9529 | + | 55.2535i | −0.595789 | + | 1.83365i | ||||
\(909\) | −17.4968 | + | 5.69249i | −0.580331 | + | 0.188808i | ||||
\(910\) | −0.628231 | − | 3.29349i | −0.0208257 | − | 0.109178i | ||||
\(911\) | 1.95117 | − | 0.868718i | 0.0646452 | − | 0.0287819i | −0.374159 | − | 0.927364i | \(-0.622069\pi\) |
0.438805 | + | 0.898583i | \(0.355402\pi\) | |||||||
\(912\) | 5.35529 | − | 8.24991i | 0.177332 | − | 0.273182i | ||||
\(913\) | 16.4212 | + | 7.31119i | 0.543462 | + | 0.241965i | ||||
\(914\) | 0.796007 | − | 7.57350i | 0.0263296 | − | 0.250509i | ||||
\(915\) | 21.9577 | + | 22.8889i | 0.725898 | + | 0.756683i | ||||
\(916\) | −1.34248 | − | 12.7728i | −0.0443566 | − | 0.422025i | ||||
\(917\) | −2.66039 | + | 8.18783i | −0.0878538 | + | 0.270386i | ||||
\(918\) | −17.4769 | − | 26.8781i | −0.576824 | − | 0.887109i | ||||
\(919\) | −18.3755 | + | 56.5541i | −0.606153 | + | 1.86555i | −0.117488 | + | 0.993074i | \(0.537484\pi\) |
−0.488664 | + | 0.872472i | \(0.662516\pi\) | |||||||
\(920\) | −55.6658 | + | 16.8059i | −1.83525 | + | 0.554073i | ||||
\(921\) | −5.33951 | + | 13.9179i | −0.175943 | + | 0.458610i | ||||
\(922\) | 39.9856 | − | 44.4085i | 1.31686 | − | 1.46252i | ||||
\(923\) | 0.497585 | − | 4.73421i | 0.0163782 | − | 0.155828i | ||||
\(924\) | 19.7324 | − | 7.57893i | 0.649149 | − | 0.249329i | ||||
\(925\) | 12.0967 | + | 23.1401i | 0.397738 | + | 0.760841i | ||||
\(926\) | −76.9096 | −2.52741 | ||||||||
\(927\) | 23.7805 | − | 2.50869i | 0.781053 | − | 0.0823962i | ||||
\(928\) | −9.61714 | − | 29.5985i | −0.315698 | − | 0.971619i | ||||
\(929\) | 27.1933 | + | 5.78011i | 0.892182 | + | 0.189639i | 0.631122 | − | 0.775683i | \(-0.282595\pi\) |
0.261060 | + | 0.965323i | \(0.415928\pi\) | |||||||
\(930\) | −52.7307 | − | 35.8217i | −1.72911 | − | 1.17464i | ||||
\(931\) | 18.2299 | − | 3.87488i | 0.597460 | − | 0.126994i | ||||
\(932\) | −0.487035 | − | 0.843569i | −0.0159534 | − | 0.0276320i | ||||
\(933\) | −24.7115 | − | 12.5851i | −0.809017 | − | 0.412018i | ||||
\(934\) | −2.54843 | − | 24.2466i | −0.0833870 | − | 0.793375i | ||||
\(935\) | 8.25234 | + | 7.74962i | 0.269880 | + | 0.253440i | ||||
\(936\) | −3.59618 | + | 0.379374i | −0.117545 | + | 0.0124002i | ||||
\(937\) | 5.33825 | − | 3.87847i | 0.174393 | − | 0.126704i | −0.497165 | − | 0.867656i | \(-0.665626\pi\) |
0.671558 | + | 0.740952i | \(0.265626\pi\) | |||||||
\(938\) | −2.12828 | − | 20.2493i | −0.0694909 | − | 0.661161i | ||||
\(939\) | 14.2281 | + | 3.80947i | 0.464317 | + | 0.124317i | ||||
\(940\) | 19.9293 | − | 84.9650i | 0.650022 | − | 2.77125i | ||||
\(941\) | −5.11057 | − | 2.27537i | −0.166600 | − | 0.0741750i | 0.321742 | − | 0.946827i | \(-0.395732\pi\) |
−0.488342 | + | 0.872652i | \(0.662398\pi\) | |||||||
\(942\) | 1.15241 | − | 0.748702i | 0.0375477 | − | 0.0243940i | ||||
\(943\) | −10.3132 | + | 17.8631i | −0.335845 | + | 0.581701i | ||||
\(944\) | −1.99268 | + | 6.13284i | −0.0648562 | + | 0.199607i | ||||
\(945\) | −13.0502 | − | 16.8045i | −0.424522 | − | 0.546649i | ||||
\(946\) | 10.9848 | + | 33.8077i | 0.357146 | + | 1.09918i | ||||
\(947\) | 4.10820 | + | 0.873225i | 0.133499 | + | 0.0283760i | 0.274176 | − | 0.961679i | \(-0.411595\pi\) |
−0.140678 | + | 0.990055i | \(0.544928\pi\) | |||||||
\(948\) | −10.1355 | − | 37.7972i | −0.329187 | − | 1.22760i | ||||
\(949\) | 2.26222 | + | 3.91827i | 0.0734346 | + | 0.127193i | ||||
\(950\) | 59.7234 | + | 2.50439i | 1.93768 | + | 0.0812531i | ||||
\(951\) | −30.5955 | + | 11.7513i | −0.992127 | + | 0.381061i | ||||
\(952\) | 15.1944 | − | 6.76498i | 0.492453 | − | 0.219254i | ||||
\(953\) | −9.85039 | − | 30.3164i | −0.319085 | − | 0.982044i | −0.974040 | − | 0.226376i | \(-0.927312\pi\) |
0.654955 | − | 0.755668i | \(-0.272688\pi\) | |||||||
\(954\) | 0.00636083 | + | 16.5118i | 0.000205939 | + | 0.534588i | ||||
\(955\) | −14.6566 | − | 13.7637i | −0.474275 | − | 0.445383i | ||||
\(956\) | 43.8265 | + | 48.6743i | 1.41745 | + | 1.57424i | ||||
\(957\) | 3.77018 | − | 23.8337i | 0.121873 | − | 0.770434i | ||||
\(958\) | −59.0400 | + | 12.5493i | −1.90750 | + | 0.405451i | ||||
\(959\) | −16.5777 | − | 7.38088i | −0.535323 | − | 0.238341i | ||||
\(960\) | 13.2310 | − | 45.5724i | 0.427029 | − | 1.47084i | ||||
\(961\) | 16.9084 | − | 7.52812i | 0.545434 | − | 0.242843i | ||||
\(962\) | −3.45946 | + | 2.51345i | −0.111538 | + | 0.0810368i | ||||
\(963\) | 28.9019 | + | 26.0033i | 0.931352 | + | 0.837944i | ||||
\(964\) | −42.7768 | − | 31.0792i | −1.37775 | − | 1.00099i | ||||
\(965\) | −3.90980 | − | 1.36158i | −0.125861 | − | 0.0438308i | ||||
\(966\) | 30.5066 | − | 46.9959i | 0.981535 | − | 1.51207i | ||||
\(967\) | 6.07669 | − | 1.29164i | 0.195413 | − | 0.0415364i | −0.109165 | − | 0.994024i | \(-0.534818\pi\) |
0.304578 | + | 0.952487i | \(0.401484\pi\) | |||||||
\(968\) | −12.5960 | − | 21.8169i | −0.404850 | − | 0.701221i | ||||
\(969\) | −19.5790 | + | 12.7201i | −0.628968 | + | 0.408629i | ||||
\(970\) | 43.5625 | − | 57.3902i | 1.39871 | − | 1.84269i | ||||
\(971\) | 16.1639 | + | 49.7474i | 0.518724 | + | 1.59647i | 0.776402 | + | 0.630238i | \(0.217043\pi\) |
−0.257678 | + | 0.966231i | \(0.582957\pi\) | |||||||
\(972\) | −45.3640 | + | 29.5219i | −1.45505 | + | 0.946914i | ||||
\(973\) | −13.7644 | − | 10.0004i | −0.441268 | − | 0.320600i | ||||
\(974\) | 3.64858 | − | 6.31952i | 0.116908 | − | 0.202491i | ||||
\(975\) | −1.80784 | − | 2.43339i | −0.0578973 | − | 0.0779307i | ||||
\(976\) | 4.54982 | + | 7.88053i | 0.145636 | + | 0.252249i | ||||
\(977\) | −0.0161026 | + | 0.153206i | −0.000515167 | + | 0.00490148i | −0.994776 | − | 0.102077i | \(-0.967451\pi\) |
0.994261 | + | 0.106979i | \(0.0341177\pi\) | |||||||
\(978\) | −47.2129 | − | 58.2802i | −1.50970 | − | 1.86359i | ||||
\(979\) | 19.8515 | + | 4.21956i | 0.634456 | + | 0.134858i | ||||
\(980\) | −24.8102 | + | 13.6392i | −0.792534 | + | 0.435688i | ||||
\(981\) | −15.1683 | − | 1.58835i | −0.484288 | − | 0.0507121i | ||||
\(982\) | 9.70230 | 0.309613 | ||||||||
\(983\) | 36.1752 | + | 40.1766i | 1.15381 | + | 1.28144i | 0.953395 | + | 0.301725i | \(0.0975624\pi\) |
0.200415 | + | 0.979711i | \(0.435771\pi\) | |||||||
\(984\) | 7.39877 | + | 14.5140i | 0.235864 | + | 0.462689i | ||||
\(985\) | −33.4753 | − | 20.2738i | −1.06661 | − | 0.645977i | ||||
\(986\) | 4.68107 | − | 44.5374i | 0.149076 | − | 1.41836i | ||||
\(987\) | 16.1922 | + | 31.7638i | 0.515403 | + | 1.01105i | ||||
\(988\) | 0.649265 | + | 6.17735i | 0.0206559 | + | 0.196528i | ||||
\(989\) | 48.3679 | + | 35.1413i | 1.53801 | + | 1.11743i | ||||
\(990\) | 20.6104 | − | 21.9644i | 0.655043 | − | 0.698074i | ||||
\(991\) | 37.4071 | − | 27.1779i | 1.18828 | − | 0.863333i | 0.195195 | − | 0.980764i | \(-0.437466\pi\) |
0.993081 | + | 0.117431i | \(0.0374659\pi\) | |||||||
\(992\) | 20.1880 | + | 22.4210i | 0.640969 | + | 0.711868i | ||||
\(993\) | 7.56332 | − | 2.90496i | 0.240015 | − | 0.0921861i | ||||
\(994\) | 56.9811 | − | 12.1117i | 1.80733 | − | 0.384160i | ||||
\(995\) | 34.1607 | − | 29.4861i | 1.08297 | − | 0.934773i | ||||
\(996\) | 20.1725 | − | 52.5814i | 0.639190 | − | 1.66611i | ||||
\(997\) | −15.6764 | − | 3.33213i | −0.496478 | − | 0.105530i | −0.0471342 | − | 0.998889i | \(-0.515009\pi\) |
−0.449344 | + | 0.893359i | \(0.648342\pi\) | |||||||
\(998\) | 20.7923 | + | 15.1065i | 0.658168 | + | 0.478187i | ||||
\(999\) | −12.3053 | + | 24.1850i | −0.389322 | + | 0.765181i |
(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 | 225.2.q.a.16.3 | ✓ | 224 | |
3.2 | odd | 2 | 675.2.r.a.316.26 | 224 | |||
9.4 | even | 3 | inner | 225.2.q.a.166.26 | yes | 224 | |
9.5 | odd | 6 | 675.2.r.a.91.3 | 224 | |||
25.11 | even | 5 | inner | 225.2.q.a.61.26 | yes | 224 | |
75.11 | odd | 10 | 675.2.r.a.586.3 | 224 | |||
225.86 | odd | 30 | 675.2.r.a.361.26 | 224 | |||
225.211 | even | 15 | inner | 225.2.q.a.211.3 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.16.3 | ✓ | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.61.26 | yes | 224 | 25.11 | even | 5 | inner | |
225.2.q.a.166.26 | yes | 224 | 9.4 | even | 3 | inner | |
225.2.q.a.211.3 | yes | 224 | 225.211 | even | 15 | inner | |
675.2.r.a.91.3 | 224 | 9.5 | odd | 6 | |||
675.2.r.a.316.26 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.361.26 | 224 | 225.86 | odd | 30 | |||
675.2.r.a.586.3 | 224 | 75.11 | odd | 10 |