Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.22 | ||
Character | \(\chi\) | \(=\) | 144.11 |
Dual form | 144.2.u.a.131.22 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41419 | + | 0.00841933i | 0.999982 | + | 0.00595336i | ||||
\(3\) | 0.433336 | − | 1.67697i | 0.250187 | − | 0.968198i | ||||
\(4\) | 1.99986 | + | 0.0238130i | 0.999929 | + | 0.0119065i | ||||
\(5\) | −0.923380 | − | 0.247419i | −0.412948 | − | 0.110649i | 0.0463628 | − | 0.998925i | \(-0.485237\pi\) |
−0.459311 | + | 0.888276i | \(0.651904\pi\) | |||||||
\(6\) | 0.626938 | − | 2.36790i | 0.255946 | − | 0.966691i | ||||
\(7\) | −1.93471 | + | 3.35102i | −0.731253 | + | 1.26657i | 0.225094 | + | 0.974337i | \(0.427731\pi\) |
−0.956348 | + | 0.292231i | \(0.905602\pi\) | |||||||
\(8\) | 2.82798 | + | 0.0505136i | 0.999841 | + | 0.0178592i | ||||
\(9\) | −2.62444 | − | 1.45338i | −0.874813 | − | 0.484460i | ||||
\(10\) | −1.30375 | − | 0.357671i | −0.412282 | − | 0.113106i | ||||
\(11\) | 3.49688 | − | 0.936987i | 1.05435 | − | 0.282512i | 0.310302 | − | 0.950638i | \(-0.399570\pi\) |
0.744048 | + | 0.668126i | \(0.232903\pi\) | |||||||
\(12\) | 0.906545 | − | 3.34338i | 0.261697 | − | 0.965150i | ||||
\(13\) | −6.43770 | − | 1.72498i | −1.78550 | − | 0.478423i | −0.793929 | − | 0.608010i | \(-0.791968\pi\) |
−0.991568 | + | 0.129587i | \(0.958635\pi\) | |||||||
\(14\) | −2.76426 | + | 4.72269i | −0.738781 | + | 1.26219i | ||||
\(15\) | −0.815048 | + | 1.44126i | −0.210444 | + | 0.372132i | ||||
\(16\) | 3.99887 | + | 0.0952454i | 0.999716 | + | 0.0238113i | ||||
\(17\) | 3.74282i | 0.907767i | 0.891061 | + | 0.453884i | \(0.149962\pi\) | ||||
−0.891061 | + | 0.453884i | \(0.850038\pi\) | |||||||
\(18\) | −3.69922 | − | 2.07745i | −0.871913 | − | 0.489660i | ||||
\(19\) | 3.09199 | + | 3.09199i | 0.709351 | + | 0.709351i | 0.966399 | − | 0.257048i | \(-0.0827498\pi\) |
−0.257048 | + | 0.966399i | \(0.582750\pi\) | |||||||
\(20\) | −1.84074 | − | 0.516791i | −0.411601 | − | 0.115558i | ||||
\(21\) | 4.78118 | + | 4.69657i | 1.04334 | + | 1.02488i | ||||
\(22\) | 4.95314 | − | 1.29564i | 1.05601 | − | 0.276230i | ||||
\(23\) | 0.327240 | − | 0.188932i | 0.0682344 | − | 0.0393951i | −0.465495 | − | 0.885051i | \(-0.654124\pi\) |
0.533729 | + | 0.845656i | \(0.320790\pi\) | |||||||
\(24\) | 1.31017 | − | 4.72053i | 0.267438 | − | 0.963575i | ||||
\(25\) | −3.53871 | − | 2.04308i | −0.707742 | − | 0.408615i | ||||
\(26\) | −9.08960 | − | 2.49364i | −1.78262 | − | 0.489044i | ||||
\(27\) | −3.57454 | + | 3.77130i | −0.687920 | + | 0.725786i | ||||
\(28\) | −3.94895 | + | 6.65550i | −0.746282 | + | 1.25777i | ||||
\(29\) | 4.14191 | − | 1.10982i | 0.769133 | − | 0.206088i | 0.147144 | − | 0.989115i | \(-0.452992\pi\) |
0.621988 | + | 0.783027i | \(0.286325\pi\) | |||||||
\(30\) | −1.16477 | + | 2.03136i | −0.212656 | + | 0.370873i | ||||
\(31\) | −0.788179 | + | 0.455055i | −0.141561 | + | 0.0817303i | −0.569108 | − | 0.822263i | \(-0.692711\pi\) |
0.427547 | + | 0.903993i | \(0.359378\pi\) | |||||||
\(32\) | 5.65435 | + | 0.168363i | 0.999557 | + | 0.0297626i | ||||
\(33\) | −0.0559708 | − | 6.27019i | −0.00974326 | − | 1.09150i | ||||
\(34\) | −0.0315120 | + | 5.29305i | −0.00540427 | + | 0.907751i | ||||
\(35\) | 2.61558 | − | 2.61558i | 0.442114 | − | 0.442114i | ||||
\(36\) | −5.21390 | − | 2.96905i | −0.868983 | − | 0.494842i | ||||
\(37\) | −2.13502 | − | 2.13502i | −0.350996 | − | 0.350996i | 0.509484 | − | 0.860480i | \(-0.329836\pi\) |
−0.860480 | + | 0.509484i | \(0.829836\pi\) | |||||||
\(38\) | 4.34662 | + | 4.39869i | 0.705115 | + | 0.713561i | ||||
\(39\) | −5.68242 | + | 10.0483i | −0.909915 | + | 1.60902i | ||||
\(40\) | −2.59880 | − | 0.746338i | −0.410906 | − | 0.118006i | ||||
\(41\) | −3.66866 | − | 6.35430i | −0.572948 | − | 0.992375i | −0.996261 | − | 0.0863918i | \(-0.972466\pi\) |
0.423313 | − | 0.905983i | \(-0.360867\pi\) | |||||||
\(42\) | 6.72194 | + | 6.68209i | 1.03722 | + | 1.03107i | ||||
\(43\) | −0.662918 | − | 2.47404i | −0.101094 | − | 0.377288i | 0.896779 | − | 0.442479i | \(-0.145901\pi\) |
−0.997873 | + | 0.0651910i | \(0.979234\pi\) | |||||||
\(44\) | 7.01559 | − | 1.79057i | 1.05764 | − | 0.269939i | ||||
\(45\) | 2.06376 | + | 1.99136i | 0.307647 | + | 0.296854i | ||||
\(46\) | 0.464370 | − | 0.264431i | 0.0684677 | − | 0.0389882i | ||||
\(47\) | 0.0726386 | − | 0.125814i | 0.0105954 | − | 0.0183518i | −0.860679 | − | 0.509148i | \(-0.829961\pi\) |
0.871275 | + | 0.490796i | \(0.163294\pi\) | |||||||
\(48\) | 1.89258 | − | 6.66469i | 0.273170 | − | 0.961966i | ||||
\(49\) | −3.98624 | − | 6.90437i | −0.569463 | − | 0.986339i | ||||
\(50\) | −4.98720 | − | 2.91909i | −0.705297 | − | 0.412822i | ||||
\(51\) | 6.27659 | + | 1.62190i | 0.878898 | + | 0.227111i | ||||
\(52\) | −12.8334 | − | 3.60301i | −1.77967 | − | 0.499648i | ||||
\(53\) | 5.67083 | − | 5.67083i | 0.778948 | − | 0.778948i | −0.200704 | − | 0.979652i | \(-0.564323\pi\) |
0.979652 | + | 0.200704i | \(0.0643229\pi\) | |||||||
\(54\) | −5.08682 | + | 5.30323i | −0.692229 | + | 0.721678i | ||||
\(55\) | −3.46078 | −0.466652 | ||||||||
\(56\) | −5.64060 | + | 9.37889i | −0.753757 | + | 1.25331i | ||||
\(57\) | 6.52503 | − | 3.84529i | 0.864262 | − | 0.509322i | ||||
\(58\) | 5.86678 | − | 1.53462i | 0.770346 | − | 0.201506i | ||||
\(59\) | 1.07059 | − | 3.99549i | 0.139379 | − | 0.520169i | −0.860563 | − | 0.509345i | \(-0.829888\pi\) |
0.999941 | − | 0.0108242i | \(-0.00344552\pi\) | |||||||
\(60\) | −1.66430 | + | 2.86291i | −0.214860 | + | 0.369600i | ||||
\(61\) | 1.69731 | + | 6.33446i | 0.217319 | + | 0.811044i | 0.985337 | + | 0.170617i | \(0.0545761\pi\) |
−0.768019 | + | 0.640427i | \(0.778757\pi\) | |||||||
\(62\) | −1.11846 | + | 0.636898i | −0.142045 | + | 0.0808861i | ||||
\(63\) | 9.94786 | − | 5.98268i | 1.25331 | − | 0.753747i | ||||
\(64\) | 7.99490 | + | 0.285702i | 0.999362 | + | 0.0357128i | ||||
\(65\) | 5.51765 | + | 3.18562i | 0.684381 | + | 0.395127i | ||||
\(66\) | −0.0263624 | − | 8.86770i | −0.00324499 | − | 1.09154i | ||||
\(67\) | −0.357964 | + | 1.33594i | −0.0437322 | + | 0.163211i | −0.984339 | − | 0.176288i | \(-0.943591\pi\) |
0.940606 | + | 0.339499i | \(0.110258\pi\) | |||||||
\(68\) | −0.0891279 | + | 7.48511i | −0.0108083 | + | 0.907703i | ||||
\(69\) | −0.175028 | − | 0.630643i | −0.0210709 | − | 0.0759205i | ||||
\(70\) | 3.72095 | − | 3.67691i | 0.444739 | − | 0.439474i | ||||
\(71\) | − | 9.88796i | − | 1.17348i | −0.809774 | − | 0.586742i | \(-0.800410\pi\) | ||
0.809774 | − | 0.586742i | \(-0.199590\pi\) | |||||||
\(72\) | −7.34844 | − | 4.24270i | −0.866022 | − | 0.500007i | ||||
\(73\) | 6.65482i | 0.778888i | 0.921050 | + | 0.389444i | \(0.127333\pi\) | ||||
−0.921050 | + | 0.389444i | \(0.872667\pi\) | |||||||
\(74\) | −3.00135 | − | 3.03730i | −0.348900 | − | 0.353079i | ||||
\(75\) | −4.95962 | + | 5.04897i | −0.572688 | + | 0.583004i | ||||
\(76\) | 6.10991 | + | 6.25717i | 0.700855 | + | 0.717746i | ||||
\(77\) | −3.62561 | + | 13.5309i | −0.413176 | + | 1.54199i | ||||
\(78\) | −8.12061 | + | 14.1624i | −0.919478 | + | 1.60357i | ||||
\(79\) | 2.18459 | + | 1.26127i | 0.245786 | + | 0.141904i | 0.617833 | − | 0.786309i | \(-0.288011\pi\) |
−0.372047 | + | 0.928214i | \(0.621344\pi\) | |||||||
\(80\) | −3.66891 | − | 1.07734i | −0.410196 | − | 0.120451i | ||||
\(81\) | 4.77537 | + | 7.62862i | 0.530596 | + | 0.847625i | ||||
\(82\) | −5.13467 | − | 9.01707i | −0.567030 | − | 0.995769i | ||||
\(83\) | −0.0699481 | − | 0.261050i | −0.00767780 | − | 0.0286539i | 0.961981 | − | 0.273118i | \(-0.0880548\pi\) |
−0.969658 | + | 0.244464i | \(0.921388\pi\) | |||||||
\(84\) | 9.44984 | + | 9.50634i | 1.03106 | + | 1.03723i | ||||
\(85\) | 0.926045 | − | 3.45605i | 0.100444 | − | 0.374861i | ||||
\(86\) | −0.916662 | − | 3.50435i | −0.0988462 | − | 0.377883i | ||||
\(87\) | −0.0662949 | − | 7.42677i | −0.00710756 | − | 0.796233i | ||||
\(88\) | 9.93644 | − | 2.47314i | 1.05923 | − | 0.263637i | ||||
\(89\) | −5.86860 | −0.622070 | −0.311035 | − | 0.950398i | \(-0.600676\pi\) | ||||
−0.311035 | + | 0.950398i | \(0.600676\pi\) | |||||||
\(90\) | 2.90178 | + | 2.83353i | 0.305875 | + | 0.298681i | ||||
\(91\) | 18.2356 | − | 18.2356i | 1.91161 | − | 1.91161i | ||||
\(92\) | 0.658934 | − | 0.370045i | 0.0686986 | − | 0.0385799i | ||||
\(93\) | 0.421566 | + | 1.51894i | 0.0437144 | + | 0.157507i | ||||
\(94\) | 0.103784 | − | 0.177313i | 0.0107045 | − | 0.0182884i | ||||
\(95\) | −2.09006 | − | 3.62010i | −0.214436 | − | 0.371414i | ||||
\(96\) | 2.73257 | − | 9.40920i | 0.278892 | − | 0.960322i | ||||
\(97\) | 5.07233 | − | 8.78553i | 0.515017 | − | 0.892035i | −0.484831 | − | 0.874608i | \(-0.661119\pi\) |
0.999848 | − | 0.0174277i | \(-0.00554769\pi\) | |||||||
\(98\) | −5.57917 | − | 9.79765i | −0.563581 | − | 0.989712i | ||||
\(99\) | −10.5392 | − | 2.62324i | −1.05923 | − | 0.263646i | ||||
\(100\) | −7.02827 | − | 4.17013i | −0.702827 | − | 0.417013i | ||||
\(101\) | 0.194443 | + | 0.725673i | 0.0193479 | + | 0.0722072i | 0.974925 | − | 0.222535i | \(-0.0714330\pi\) |
−0.955577 | + | 0.294742i | \(0.904766\pi\) | |||||||
\(102\) | 8.86262 | + | 2.34652i | 0.877530 | + | 0.232340i | ||||
\(103\) | 6.93904 | + | 12.0188i | 0.683724 | + | 1.18424i | 0.973836 | + | 0.227252i | \(0.0729741\pi\) |
−0.290112 | + | 0.956993i | \(0.593693\pi\) | |||||||
\(104\) | −18.1185 | − | 5.20339i | −1.77667 | − | 0.510234i | ||||
\(105\) | −3.25282 | − | 5.51968i | −0.317443 | − | 0.538665i | ||||
\(106\) | 8.06736 | − | 7.97187i | 0.783572 | − | 0.774297i | ||||
\(107\) | 1.56287 | + | 1.56287i | 0.151088 | + | 0.151088i | 0.778604 | − | 0.627516i | \(-0.215928\pi\) |
−0.627516 | + | 0.778604i | \(0.715928\pi\) | |||||||
\(108\) | −7.23837 | + | 7.45694i | −0.696513 | + | 0.717544i | ||||
\(109\) | 6.71432 | − | 6.71432i | 0.643115 | − | 0.643115i | −0.308205 | − | 0.951320i | \(-0.599728\pi\) |
0.951320 | + | 0.308205i | \(0.0997283\pi\) | |||||||
\(110\) | −4.89420 | − | 0.0291375i | −0.466644 | − | 0.00277815i | ||||
\(111\) | −4.50555 | + | 2.65518i | −0.427648 | + | 0.252019i | ||||
\(112\) | −8.05583 | + | 13.2160i | −0.761205 | + | 1.24880i | ||||
\(113\) | −13.7148 | + | 7.91823i | −1.29018 | + | 0.744885i | −0.978686 | − | 0.205364i | \(-0.934162\pi\) |
−0.311492 | + | 0.950249i | \(0.600829\pi\) | |||||||
\(114\) | 9.26000 | − | 5.38303i | 0.867279 | − | 0.504167i | ||||
\(115\) | −0.348913 | + | 0.0934909i | −0.0325363 | + | 0.00871807i | ||||
\(116\) | 8.30965 | − | 2.12085i | 0.771532 | − | 0.196916i | ||||
\(117\) | 14.3883 | + | 13.8835i | 1.33020 | + | 1.28353i | ||||
\(118\) | 1.54765 | − | 5.64137i | 0.142473 | − | 0.519330i | ||||
\(119\) | −12.5423 | − | 7.24129i | −1.14975 | − | 0.663808i | ||||
\(120\) | −2.37774 | + | 4.03469i | −0.217057 | + | 0.368315i | ||||
\(121\) | 1.82398 | − | 1.05307i | 0.165816 | − | 0.0957339i | ||||
\(122\) | 2.34699 | + | 8.97241i | 0.212486 | + | 0.812324i | ||||
\(123\) | −12.2457 | + | 3.39867i | −1.10416 | + | 0.306448i | ||||
\(124\) | −1.58708 | + | 0.891277i | −0.142524 | + | 0.0800390i | ||||
\(125\) | 6.14189 | + | 6.14189i | 0.549347 | + | 0.549347i | ||||
\(126\) | 14.1185 | − | 8.37689i | 1.25778 | − | 0.746272i | ||||
\(127\) | 10.4492i | 0.927219i | 0.886040 | + | 0.463609i | \(0.153446\pi\) | ||||
−0.886040 | + | 0.463609i | \(0.846554\pi\) | |||||||
\(128\) | 11.3039 | + | 0.471349i | 0.999132 | + | 0.0416617i | ||||
\(129\) | −4.43616 | + | 0.0395993i | −0.390582 | + | 0.00348652i | ||||
\(130\) | 7.77618 | + | 4.55152i | 0.682016 | + | 0.399195i | ||||
\(131\) | 18.2908 | + | 4.90101i | 1.59807 | + | 0.428203i | 0.944461 | − | 0.328625i | \(-0.106585\pi\) |
0.653614 | + | 0.756828i | \(0.273252\pi\) | |||||||
\(132\) | 0.0373787 | − | 12.5408i | 0.00325340 | − | 1.09154i | ||||
\(133\) | −16.3434 | + | 4.37921i | −1.41716 | + | 0.379726i | ||||
\(134\) | −0.517476 | + | 1.88626i | −0.0447031 | + | 0.162948i | ||||
\(135\) | 4.23375 | − | 2.59793i | 0.364383 | − | 0.223594i | ||||
\(136\) | −0.189063 | + | 10.5846i | −0.0162120 | + | 0.907623i | ||||
\(137\) | −7.93788 | + | 13.7488i | −0.678178 | + | 1.17464i | 0.297350 | + | 0.954768i | \(0.403897\pi\) |
−0.975529 | + | 0.219871i | \(0.929436\pi\) | |||||||
\(138\) | −0.242213 | − | 0.893322i | −0.0206186 | − | 0.0760446i | ||||
\(139\) | −16.4382 | − | 4.40461i | −1.39427 | − | 0.373594i | −0.517988 | − | 0.855388i | \(-0.673319\pi\) |
−0.876285 | + | 0.481794i | \(0.839985\pi\) | |||||||
\(140\) | 5.29308 | − | 5.16851i | 0.447347 | − | 0.436819i | ||||
\(141\) | −0.179509 | − | 0.176332i | −0.0151174 | − | 0.0148499i | ||||
\(142\) | 0.0832499 | − | 13.9834i | 0.00698618 | − | 1.17346i | ||||
\(143\) | −24.1282 | −2.01770 | ||||||||
\(144\) | −10.3564 | − | 6.06184i | −0.863029 | − | 0.505154i | ||||
\(145\) | −4.09914 | −0.340415 | ||||||||
\(146\) | −0.0560291 | + | 9.41117i | −0.00463700 | + | 0.778874i | ||||
\(147\) | −13.3058 | + | 3.69288i | −1.09744 | + | 0.304584i | ||||
\(148\) | −4.21890 | − | 4.32058i | −0.346792 | − | 0.355150i | ||||
\(149\) | −6.54234 | − | 1.75301i | −0.535969 | − | 0.143613i | −0.0193260 | − | 0.999813i | \(-0.506152\pi\) |
−0.516643 | + | 0.856201i | \(0.672819\pi\) | |||||||
\(150\) | −7.05635 | + | 7.09843i | −0.576149 | + | 0.579585i | ||||
\(151\) | −4.39506 | + | 7.61246i | −0.357665 | + | 0.619493i | −0.987570 | − | 0.157178i | \(-0.949760\pi\) |
0.629906 | + | 0.776672i | \(0.283094\pi\) | |||||||
\(152\) | 8.58788 | + | 8.90026i | 0.696569 | + | 0.721906i | ||||
\(153\) | 5.43975 | − | 9.82281i | 0.439777 | − | 0.794127i | ||||
\(154\) | −5.24121 | + | 19.1048i | −0.422349 | + | 1.53951i | ||||
\(155\) | 0.840378 | − | 0.225179i | 0.0675008 | − | 0.0180868i | ||||
\(156\) | −11.6033 | + | 19.9599i | −0.929009 | + | 1.59807i | ||||
\(157\) | −7.30654 | − | 1.95778i | −0.583126 | − | 0.156248i | −0.0448162 | − | 0.998995i | \(-0.514270\pi\) |
−0.538310 | + | 0.842747i | \(0.680937\pi\) | |||||||
\(158\) | 3.07880 | + | 1.80207i | 0.244936 | + | 0.143365i | ||||
\(159\) | −7.05242 | − | 11.9672i | −0.559293 | − | 0.949058i | ||||
\(160\) | −5.17946 | − | 1.55446i | −0.409472 | − | 0.122891i | ||||
\(161\) | 1.46212i | 0.115231i | ||||||||
\(162\) | 6.68904 | + | 10.8285i | 0.525541 | + | 0.850769i | ||||
\(163\) | −3.88439 | − | 3.88439i | −0.304249 | − | 0.304249i | 0.538425 | − | 0.842674i | \(-0.319020\pi\) |
−0.842674 | + | 0.538425i | \(0.819020\pi\) | |||||||
\(164\) | −7.18548 | − | 12.7951i | −0.561092 | − | 0.999127i | ||||
\(165\) | −1.49968 | + | 5.80362i | −0.116750 | + | 0.451811i | ||||
\(166\) | −0.0967219 | − | 0.369762i | −0.00750707 | − | 0.0286991i | ||||
\(167\) | 16.2578 | − | 9.38644i | 1.25807 | − | 0.726345i | 0.285367 | − | 0.958418i | \(-0.407884\pi\) |
0.972698 | + | 0.232074i | \(0.0745510\pi\) | |||||||
\(168\) | 13.2838 | + | 13.5233i | 1.02487 | + | 1.04335i | ||||
\(169\) | 27.2101 | + | 15.7098i | 2.09309 | + | 1.20844i | ||||
\(170\) | 1.33870 | − | 4.87970i | 0.102674 | − | 0.374256i | ||||
\(171\) | −3.62090 | − | 12.6086i | −0.276897 | − | 0.964202i | ||||
\(172\) | −1.26683 | − | 4.96352i | −0.0965947 | − | 0.378465i | ||||
\(173\) | −4.46886 | + | 1.19743i | −0.339761 | + | 0.0910387i | −0.424665 | − | 0.905350i | \(-0.639608\pi\) |
0.0849043 | + | 0.996389i | \(0.472942\pi\) | |||||||
\(174\) | −0.0312251 | − | 10.5034i | −0.00236717 | − | 0.796261i | ||||
\(175\) | 13.6928 | − | 7.90554i | 1.03508 | − | 0.597603i | ||||
\(176\) | 14.0728 | − | 3.41382i | 1.06078 | − | 0.257327i | ||||
\(177\) | −6.23639 | − | 3.52674i | −0.468756 | − | 0.265086i | ||||
\(178\) | −8.29930 | − | 0.0494096i | −0.622059 | − | 0.00370341i | ||||
\(179\) | −16.7079 | + | 16.7079i | −1.24881 | + | 1.24881i | −0.292557 | + | 0.956248i | \(0.594506\pi\) |
−0.956248 | + | 0.292557i | \(0.905494\pi\) | |||||||
\(180\) | 4.07981 | + | 4.03158i | 0.304091 | + | 0.300496i | ||||
\(181\) | −3.87025 | − | 3.87025i | −0.287673 | − | 0.287673i | 0.548486 | − | 0.836160i | \(-0.315204\pi\) |
−0.836160 | + | 0.548486i | \(0.815204\pi\) | |||||||
\(182\) | 25.9420 | − | 25.6350i | 1.92295 | − | 1.90019i | ||||
\(183\) | 11.3582 | − | 0.101389i | 0.839621 | − | 0.00749486i | ||||
\(184\) | 0.934972 | − | 0.517766i | 0.0689270 | − | 0.0381702i | ||||
\(185\) | 1.44319 | + | 2.49968i | 0.106106 | + | 0.183780i | ||||
\(186\) | 0.583386 | + | 2.15162i | 0.0427759 | + | 0.157764i | ||||
\(187\) | 3.50698 | + | 13.0882i | 0.256455 | + | 0.957105i | ||||
\(188\) | 0.148263 | − | 0.249880i | 0.0108132 | − | 0.0182244i | ||||
\(189\) | −5.72200 | − | 19.2747i | −0.416214 | − | 1.40203i | ||||
\(190\) | −2.92527 | − | 5.13710i | −0.212221 | − | 0.372684i | ||||
\(191\) | −2.49854 | + | 4.32759i | −0.180788 | + | 0.313134i | −0.942149 | − | 0.335194i | \(-0.891198\pi\) |
0.761361 | + | 0.648328i | \(0.224531\pi\) | |||||||
\(192\) | 3.94359 | − | 13.2834i | 0.284604 | − | 0.958645i | ||||
\(193\) | 8.77894 | + | 15.2056i | 0.631922 | + | 1.09452i | 0.987158 | + | 0.159744i | \(0.0510670\pi\) |
−0.355237 | + | 0.934776i | \(0.615600\pi\) | |||||||
\(194\) | 7.24720 | − | 12.3817i | 0.520318 | − | 0.888954i | ||||
\(195\) | 7.73318 | − | 7.87248i | 0.553784 | − | 0.563760i | ||||
\(196\) | −7.80750 | − | 13.9027i | −0.557679 | − | 0.993049i | ||||
\(197\) | 14.4859 | − | 14.4859i | 1.03208 | − | 1.03208i | 0.0326073 | − | 0.999468i | \(-0.489619\pi\) |
0.999468 | − | 0.0326073i | \(-0.0103811\pi\) | |||||||
\(198\) | −14.8823 | − | 3.79849i | −1.05764 | − | 0.269947i | ||||
\(199\) | −0.627801 | −0.0445037 | −0.0222518 | − | 0.999752i | \(-0.507084\pi\) | ||||
−0.0222518 | + | 0.999752i | \(0.507084\pi\) | |||||||
\(200\) | −9.90419 | − | 5.95652i | −0.700332 | − | 0.421190i | ||||
\(201\) | 2.08521 | + | 1.17920i | 0.147079 | + | 0.0831746i | ||||
\(202\) | 0.268870 | + | 1.02788i | 0.0189176 | + | 0.0723211i | ||||
\(203\) | −4.29437 | + | 16.0268i | −0.301406 | + | 1.12486i | ||||
\(204\) | 12.5137 | + | 3.39303i | 0.876132 | + | 0.237560i | ||||
\(205\) | 1.81539 | + | 6.77513i | 0.126792 | + | 0.473196i | ||||
\(206\) | 9.71192 | + | 17.0552i | 0.676662 | + | 1.18829i | ||||
\(207\) | −1.13341 | + | 0.0202364i | −0.0787777 | + | 0.00140653i | ||||
\(208\) | −25.5792 | − | 7.51111i | −1.77360 | − | 0.520802i | ||||
\(209\) | 13.7095 | + | 7.91517i | 0.948305 | + | 0.547504i | ||||
\(210\) | −4.55363 | − | 7.83325i | −0.314230 | − | 0.540546i | ||||
\(211\) | −1.02256 | + | 3.81624i | −0.0703959 | + | 0.262721i | −0.992150 | − | 0.125054i | \(-0.960090\pi\) |
0.921754 | + | 0.387775i | \(0.126756\pi\) | |||||||
\(212\) | 11.4759 | − | 11.2058i | 0.788167 | − | 0.769618i | ||||
\(213\) | −16.5818 | − | 4.28481i | −1.13616 | − | 0.293590i | ||||
\(214\) | 2.19703 | + | 2.22334i | 0.150186 | + | 0.151985i | ||||
\(215\) | 2.44850i | 0.166986i | ||||||||
\(216\) | −10.2992 | + | 10.4846i | −0.700772 | + | 0.713385i | ||||
\(217\) | − | 3.52161i | − | 0.239062i | ||||||
\(218\) | 9.55184 | − | 9.43878i | 0.646932 | − | 0.639275i | ||||
\(219\) | 11.1599 | + | 2.88377i | 0.754117 | + | 0.194867i | ||||
\(220\) | −6.92107 | − | 0.0824117i | −0.466619 | − | 0.00555620i | ||||
\(221\) | 6.45628 | − | 24.0952i | 0.434296 | − | 1.62082i | ||||
\(222\) | −6.39405 | + | 3.71699i | −0.429140 | + | 0.249468i | ||||
\(223\) | 1.71289 | + | 0.988940i | 0.114704 | + | 0.0662243i | 0.556254 | − | 0.831012i | \(-0.312238\pi\) |
−0.441550 | + | 0.897236i | \(0.645571\pi\) | |||||||
\(224\) | −11.5037 | + | 18.6221i | −0.768626 | + | 1.24424i | ||||
\(225\) | 6.31777 | + | 10.5050i | 0.421184 | + | 0.700335i | ||||
\(226\) | −19.4619 | + | 11.0824i | −1.29459 | + | 0.737190i | ||||
\(227\) | −7.69603 | − | 28.7220i | −0.510803 | − | 1.90634i | −0.411848 | − | 0.911252i | \(-0.635117\pi\) |
−0.0989551 | − | 0.995092i | \(-0.531550\pi\) | |||||||
\(228\) | 13.1407 | − | 7.53466i | 0.870265 | − | 0.498995i | ||||
\(229\) | 3.81849 | − | 14.2508i | 0.252333 | − | 0.941720i | −0.717222 | − | 0.696845i | \(-0.754586\pi\) |
0.969555 | − | 0.244875i | \(-0.0787469\pi\) | |||||||
\(230\) | −0.494216 | + | 0.129276i | −0.0325876 | + | 0.00852422i | ||||
\(231\) | 21.1199 | + | 11.9435i | 1.38958 | + | 0.785823i | ||||
\(232\) | 11.7693 | − | 2.92932i | 0.772690 | − | 0.192319i | ||||
\(233\) | 11.5384 | 0.755904 | 0.377952 | − | 0.925825i | \(-0.376628\pi\) | ||||
0.377952 | + | 0.925825i | \(0.376628\pi\) | |||||||
\(234\) | 20.2309 | + | 19.7551i | 1.32253 | + | 1.29143i | ||||
\(235\) | −0.0982018 | + | 0.0982018i | −0.00640598 | + | 0.00640598i | ||||
\(236\) | 2.23617 | − | 7.96493i | 0.145562 | − | 0.518473i | ||||
\(237\) | 3.06178 | − | 3.11693i | 0.198884 | − | 0.202466i | ||||
\(238\) | −17.6762 | − | 10.3461i | −1.14578 | − | 0.670641i | ||||
\(239\) | 8.60624 | + | 14.9065i | 0.556692 | + | 0.964218i | 0.997770 | + | 0.0667495i | \(0.0212628\pi\) |
−0.441078 | + | 0.897469i | \(0.645404\pi\) | |||||||
\(240\) | −3.39654 | + | 5.68579i | −0.219246 | + | 0.367016i | ||||
\(241\) | 4.64695 | − | 8.04875i | 0.299336 | − | 0.518466i | −0.676648 | − | 0.736307i | \(-0.736568\pi\) |
0.975984 | + | 0.217841i | \(0.0699014\pi\) | |||||||
\(242\) | 2.58831 | − | 1.47389i | 0.166383 | − | 0.0947451i | ||||
\(243\) | 14.8623 | − | 4.70237i | 0.953416 | − | 0.301657i | ||||
\(244\) | 3.24354 | + | 12.7084i | 0.207647 | + | 0.813574i | ||||
\(245\) | 1.97254 | + | 7.36163i | 0.126021 | + | 0.470317i | ||||
\(246\) | −17.3464 | + | 4.70326i | −1.10596 | + | 0.299869i | ||||
\(247\) | −14.5717 | − | 25.2389i | −0.927175 | − | 1.60591i | ||||
\(248\) | −2.25194 | + | 1.24707i | −0.142998 | + | 0.0791891i | ||||
\(249\) | −0.468083 | + | 0.00417833i | −0.0296636 | + | 0.000264791i | ||||
\(250\) | 8.63408 | + | 8.73750i | 0.546067 | + | 0.552608i | ||||
\(251\) | 20.7722 | + | 20.7722i | 1.31113 | + | 1.31113i | 0.920584 | + | 0.390545i | \(0.127714\pi\) |
0.390545 | + | 0.920584i | \(0.372286\pi\) | |||||||
\(252\) | 20.0368 | − | 11.7276i | 1.26220 | − | 0.738771i | ||||
\(253\) | 0.967295 | − | 0.967295i | 0.0608133 | − | 0.0608133i | ||||
\(254\) | −0.0879754 | + | 14.7772i | −0.00552007 | + | 0.927202i | ||||
\(255\) | −5.39439 | − | 3.05058i | −0.337810 | − | 0.191035i | ||||
\(256\) | 15.9819 | + | 0.761747i | 0.998866 | + | 0.0476092i | ||||
\(257\) | −1.51801 | + | 0.876421i | −0.0946906 | + | 0.0546697i | −0.546598 | − | 0.837395i | \(-0.684077\pi\) |
0.451907 | + | 0.892065i | \(0.350744\pi\) | |||||||
\(258\) | −6.27390 | + | 0.0186514i | −0.390596 | + | 0.00116118i | ||||
\(259\) | 11.2852 | − | 3.02385i | 0.701227 | − | 0.187893i | ||||
\(260\) | 10.9587 | + | 6.50218i | 0.679628 | + | 0.403248i | ||||
\(261\) | −12.4832 | − | 3.10711i | −0.772689 | − | 0.192325i | ||||
\(262\) | 25.8254 | + | 7.08494i | 1.59550 | + | 0.437709i | ||||
\(263\) | 0.172109 | + | 0.0993674i | 0.0106127 | + | 0.00612726i | 0.505297 | − | 0.862946i | \(-0.331383\pi\) |
−0.494684 | + | 0.869073i | \(0.664716\pi\) | |||||||
\(264\) | 0.158446 | − | 17.7348i | 0.00975167 | − | 1.09150i | ||||
\(265\) | −6.63940 | + | 3.83326i | −0.407855 | + | 0.235475i | ||||
\(266\) | −23.1496 | + | 6.05543i | −1.41939 | + | 0.371282i | ||||
\(267\) | −2.54307 | + | 9.84144i | −0.155634 | + | 0.602287i | ||||
\(268\) | −0.747689 | + | 2.66316i | −0.0456724 | + | 0.162679i | ||||
\(269\) | −16.7454 | − | 16.7454i | −1.02098 | − | 1.02098i | −0.999775 | − | 0.0212085i | \(-0.993249\pi\) |
−0.0212085 | − | 0.999775i | \(-0.506751\pi\) | |||||||
\(270\) | 6.00919 | − | 3.63832i | 0.365708 | − | 0.221421i | ||||
\(271\) | 16.8714i | 1.02487i | 0.858727 | + | 0.512433i | \(0.171256\pi\) | ||||
−0.858727 | + | 0.512433i | \(0.828744\pi\) | |||||||
\(272\) | −0.356486 | + | 14.9670i | −0.0216152 | + | 0.907510i | ||||
\(273\) | −22.6783 | − | 38.4826i | −1.37255 | − | 2.32907i | ||||
\(274\) | −11.3414 | + | 19.3766i | −0.685159 | + | 1.17058i | ||||
\(275\) | −14.2888 | − | 3.82867i | −0.861647 | − | 0.230878i | ||||
\(276\) | −0.335014 | − | 1.26536i | −0.0201655 | − | 0.0761660i | ||||
\(277\) | −28.2987 | + | 7.58262i | −1.70031 | + | 0.455595i | −0.973016 | − | 0.230736i | \(-0.925887\pi\) |
−0.727289 | + | 0.686331i | \(0.759220\pi\) | |||||||
\(278\) | −23.2097 | − | 6.36735i | −1.39202 | − | 0.381888i | ||||
\(279\) | 2.72990 | − | 0.0487406i | 0.163435 | − | 0.00291802i | ||||
\(280\) | 7.52893 | − | 7.26469i | 0.449940 | − | 0.434148i | ||||
\(281\) | −3.41297 | + | 5.91144i | −0.203601 | + | 0.352647i | −0.949686 | − | 0.313203i | \(-0.898598\pi\) |
0.746085 | + | 0.665851i | \(0.231931\pi\) | |||||||
\(282\) | −0.252375 | − | 0.250878i | −0.0150287 | − | 0.0149396i | ||||
\(283\) | 9.49738 | + | 2.54482i | 0.564561 | + | 0.151274i | 0.529801 | − | 0.848122i | \(-0.322267\pi\) |
0.0347600 | + | 0.999396i | \(0.488933\pi\) | |||||||
\(284\) | 0.235462 | − | 19.7745i | 0.0139721 | − | 1.17340i | ||||
\(285\) | −6.97649 | + | 1.93625i | −0.413251 | + | 0.114694i | ||||
\(286\) | −34.1218 | − | 0.203143i | −2.01766 | − | 0.0120121i | ||||
\(287\) | 28.3912 | 1.67588 | ||||||||
\(288\) | −14.5948 | − | 8.65978i | −0.860007 | − | 0.510283i | ||||
\(289\) | 2.99129 | 0.175959 | ||||||||
\(290\) | −5.79696 | − | 0.0345120i | −0.340409 | − | 0.00202662i | ||||
\(291\) | −12.5350 | − | 12.3132i | −0.734816 | − | 0.721814i | ||||
\(292\) | −0.158471 | + | 13.3087i | −0.00927384 | + | 0.778833i | ||||
\(293\) | 1.85716 | + | 0.497626i | 0.108497 | + | 0.0290716i | 0.312659 | − | 0.949865i | \(-0.398780\pi\) |
−0.204162 | + | 0.978937i | \(0.565447\pi\) | |||||||
\(294\) | −18.8480 | + | 5.11041i | −1.09924 | + | 0.298045i | ||||
\(295\) | −1.97712 | + | 3.42448i | −0.115112 | + | 0.199381i | ||||
\(296\) | −5.92995 | − | 6.14564i | −0.344671 | − | 0.357208i | ||||
\(297\) | −8.96609 | + | 16.5371i | −0.520265 | + | 0.959579i | ||||
\(298\) | −9.23734 | − | 2.53418i | −0.535105 | − | 0.146801i | ||||
\(299\) | −2.43258 | + | 0.651808i | −0.140680 | + | 0.0376950i | ||||
\(300\) | −10.0388 | + | 9.97911i | −0.579589 | + | 0.576144i | ||||
\(301\) | 9.57314 | + | 2.56512i | 0.551787 | + | 0.147851i | ||||
\(302\) | −6.27953 | + | 10.7284i | −0.361346 | + | 0.617353i | ||||
\(303\) | 1.30119 | − | 0.0116150i | 0.0747514 | − | 0.000667267i | ||||
\(304\) | 12.0699 | + | 12.6589i | 0.692259 | + | 0.726040i | ||||
\(305\) | − | 6.26906i | − | 0.358965i | ||||||
\(306\) | 7.77553 | − | 13.8455i | 0.444497 | − | 0.791495i | ||||
\(307\) | −9.86559 | − | 9.86559i | −0.563059 | − | 0.563059i | 0.367116 | − | 0.930175i | \(-0.380345\pi\) |
−0.930175 | + | 0.367116i | \(0.880345\pi\) | |||||||
\(308\) | −7.57291 | + | 26.9736i | −0.431507 | + | 1.53697i | ||||
\(309\) | 23.1620 | − | 6.42838i | 1.31764 | − | 0.365698i | ||||
\(310\) | 1.19035 | − | 0.311370i | 0.0676073 | − | 0.0176846i | ||||
\(311\) | 3.17139 | − | 1.83100i | 0.179833 | − | 0.103827i | −0.407381 | − | 0.913258i | \(-0.633558\pi\) |
0.587214 | + | 0.809432i | \(0.300225\pi\) | |||||||
\(312\) | −16.5773 | + | 28.1294i | −0.938506 | + | 1.59251i | ||||
\(313\) | 1.08050 | + | 0.623827i | 0.0610735 | + | 0.0352608i | 0.530226 | − | 0.847856i | \(-0.322107\pi\) |
−0.469152 | + | 0.883117i | \(0.655440\pi\) | |||||||
\(314\) | −10.3163 | − | 2.83019i | −0.582185 | − | 0.159717i | ||||
\(315\) | −10.6659 | + | 3.06300i | −0.600954 | + | 0.172581i | ||||
\(316\) | 4.33884 | + | 2.57439i | 0.244079 | + | 0.144821i | ||||
\(317\) | −1.52263 | + | 0.407988i | −0.0855195 | + | 0.0229149i | −0.301325 | − | 0.953521i | \(-0.597429\pi\) |
0.215806 | + | 0.976436i | \(0.430762\pi\) | |||||||
\(318\) | −9.87269 | − | 16.9832i | −0.553633 | − | 0.952371i | ||||
\(319\) | 13.4439 | − | 7.76183i | 0.752713 | − | 0.434579i | ||||
\(320\) | −7.31164 | − | 2.24190i | −0.408733 | − | 0.125326i | ||||
\(321\) | 3.29812 | − | 1.94363i | 0.184083 | − | 0.108483i | ||||
\(322\) | −0.0123101 | + | 2.06771i | −0.000686014 | + | 0.115229i | ||||
\(323\) | −11.5728 | + | 11.5728i | −0.643925 | + | 0.643925i | ||||
\(324\) | 9.36839 | + | 15.3699i | 0.520466 | + | 0.853882i | ||||
\(325\) | 19.2569 | + | 19.2569i | 1.06818 | + | 1.06818i | ||||
\(326\) | −5.46055 | − | 5.52596i | −0.302432 | − | 0.306055i | ||||
\(327\) | −8.35013 | − | 14.1692i | −0.461763 | − | 0.783561i | ||||
\(328\) | −10.0539 | − | 18.1551i | −0.555134 | − | 1.00245i | ||||
\(329\) | 0.281070 | + | 0.486828i | 0.0154959 | + | 0.0268397i | ||||
\(330\) | −2.16970 | + | 8.19478i | −0.119438 | + | 0.451108i | ||||
\(331\) | −2.44201 | − | 9.11372i | −0.134225 | − | 0.500935i | −1.00000 | 0.000501334i | \(-0.999840\pi\) | |
0.865775 | − | 0.500434i | \(-0.166826\pi\) | |||||||
\(332\) | −0.133670 | − | 0.523728i | −0.00733609 | − | 0.0287433i | ||||
\(333\) | 2.50024 | + | 8.70624i | 0.137012 | + | 0.477099i | ||||
\(334\) | 23.0706 | − | 13.1373i | 1.26237 | − | 0.718842i | ||||
\(335\) | 0.661073 | − | 1.14501i | 0.0361183 | − | 0.0625587i | ||||
\(336\) | 18.6720 | + | 19.2364i | 1.01864 | + | 1.04943i | ||||
\(337\) | 6.84951 | + | 11.8637i | 0.373117 | + | 0.646257i | 0.990043 | − | 0.140764i | \(-0.0449558\pi\) |
−0.616927 | + | 0.787021i | \(0.711622\pi\) | |||||||
\(338\) | 38.3480 | + | 22.4457i | 2.08586 | + | 1.22088i | ||||
\(339\) | 7.33551 | + | 26.4305i | 0.398410 | + | 1.43551i | ||||
\(340\) | 1.93426 | − | 6.88955i | 0.104900 | − | 0.373638i | ||||
\(341\) | −2.32979 | + | 2.32979i | −0.126165 | + | 0.126165i | ||||
\(342\) | −5.01448 | − | 17.8614i | −0.271152 | − | 0.965833i | ||||
\(343\) | 3.76296 | 0.203181 | ||||||||
\(344\) | −1.74974 | − | 7.03003i | −0.0943399 | − | 0.379034i | ||||
\(345\) | 0.00558466 | + | 0.625628i | 0.000300668 | + | 0.0336827i | ||||
\(346\) | −6.32989 | + | 1.65576i | −0.340297 | + | 0.0890143i | ||||
\(347\) | 1.33399 | − | 4.97851i | 0.0716122 | − | 0.267260i | −0.920832 | − | 0.389960i | \(-0.872489\pi\) |
0.992444 | + | 0.122700i | \(0.0391553\pi\) | |||||||
\(348\) | 0.0442735 | − | 14.8541i | 0.00237331 | − | 0.796261i | ||||
\(349\) | −6.05230 | − | 22.5875i | −0.323972 | − | 1.20908i | −0.915341 | − | 0.402679i | \(-0.868079\pi\) |
0.591369 | − | 0.806401i | \(-0.298588\pi\) | |||||||
\(350\) | 19.4308 | − | 11.0646i | 1.03862 | − | 0.591430i | ||||
\(351\) | 29.5172 | − | 18.1125i | 1.57551 | − | 0.966773i | ||||
\(352\) | 19.9304 | − | 4.70931i | 1.06229 | − | 0.251007i | ||||
\(353\) | −25.4729 | − | 14.7068i | −1.35578 | − | 0.782762i | −0.366732 | − | 0.930327i | \(-0.619523\pi\) |
−0.989052 | + | 0.147564i | \(0.952857\pi\) | |||||||
\(354\) | −8.78974 | − | 5.03997i | −0.467169 | − | 0.267872i | ||||
\(355\) | −2.44647 | + | 9.13034i | −0.129845 | + | 0.484588i | ||||
\(356\) | −11.7364 | − | 0.139749i | −0.622026 | − | 0.00740669i | ||||
\(357\) | −17.5784 | + | 17.8951i | −0.930349 | + | 0.947108i | ||||
\(358\) | −23.7688 | + | 23.4874i | −1.25622 | + | 1.24135i | ||||
\(359\) | 21.1351i | 1.11547i | 0.830020 | + | 0.557734i | \(0.188329\pi\) | ||||
−0.830020 | + | 0.557734i | \(0.811671\pi\) | |||||||
\(360\) | 5.73568 | + | 5.73577i | 0.302297 | + | 0.302301i | ||||
\(361\) | 0.120784i | 0.00635708i | ||||||||
\(362\) | −5.44068 | − | 5.50585i | −0.285956 | − | 0.289381i | ||||
\(363\) | −0.975575 | − | 3.51508i | −0.0512044 | − | 0.184494i | ||||
\(364\) | 36.9028 | − | 36.0343i | 1.93423 | − | 1.88871i | ||||
\(365\) | 1.64653 | − | 6.14493i | 0.0861833 | − | 0.321640i | ||||
\(366\) | 16.0635 | − | 0.0477543i | 0.839651 | − | 0.00249616i | ||||
\(367\) | −19.9277 | − | 11.5053i | −1.04022 | − | 0.600569i | −0.120322 | − | 0.992735i | \(-0.538393\pi\) |
−0.919895 | + | 0.392166i | \(0.871726\pi\) | |||||||
\(368\) | 1.32659 | − | 0.724347i | 0.0691531 | − | 0.0377592i | ||||
\(369\) | 0.392947 | + | 22.0084i | 0.0204560 | + | 1.14571i | ||||
\(370\) | 2.01990 | + | 3.54717i | 0.105010 | + | 0.184409i | ||||
\(371\) | 8.03165 | + | 29.9745i | 0.416982 | + | 1.55620i | ||||
\(372\) | 0.806902 | + | 3.04771i | 0.0418359 | + | 0.158016i | ||||
\(373\) | −2.63297 | + | 9.82636i | −0.136330 | + | 0.508790i | 0.863659 | + | 0.504076i | \(0.168167\pi\) |
−0.999989 | + | 0.00471336i | \(0.998500\pi\) | |||||||
\(374\) | 4.84933 | + | 18.5387i | 0.250753 | + | 0.958615i | ||||
\(375\) | 12.9612 | − | 7.63824i | 0.669316 | − | 0.394437i | ||||
\(376\) | 0.211776 | − | 0.352129i | 0.0109215 | − | 0.0181597i | ||||
\(377\) | −28.5788 | −1.47188 | ||||||||
\(378\) | −7.92970 | − | 27.3063i | −0.407860 | − | 1.40448i | ||||
\(379\) | −15.2258 | + | 15.2258i | −0.782098 | + | 0.782098i | −0.980185 | − | 0.198086i | \(-0.936527\pi\) |
0.198086 | + | 0.980185i | \(0.436527\pi\) | |||||||
\(380\) | −4.09363 | − | 7.28945i | −0.209999 | − | 0.373941i | ||||
\(381\) | 17.5230 | + | 4.52803i | 0.897731 | + | 0.231978i | ||||
\(382\) | −3.56984 | + | 6.09899i | −0.182649 | + | 0.312052i | ||||
\(383\) | −4.43034 | − | 7.67358i | −0.226380 | − | 0.392102i | 0.730353 | − | 0.683070i | \(-0.239356\pi\) |
−0.956733 | + | 0.290969i | \(0.906022\pi\) | |||||||
\(384\) | 5.68882 | − | 18.7520i | 0.290306 | − | 0.956934i | ||||
\(385\) | 6.69563 | − | 11.5972i | 0.341241 | − | 0.591046i | ||||
\(386\) | 12.2871 | + | 21.5775i | 0.625395 | + | 1.09826i | ||||
\(387\) | −1.85594 | + | 7.45645i | −0.0943428 | + | 0.379033i | ||||
\(388\) | 10.3531 | − | 17.4490i | 0.525601 | − | 0.885840i | ||||
\(389\) | −7.94756 | − | 29.6607i | −0.402957 | − | 1.50386i | −0.807792 | − | 0.589467i | \(-0.799338\pi\) |
0.404835 | − | 0.914390i | \(-0.367329\pi\) | |||||||
\(390\) | 11.0025 | − | 11.0681i | 0.557131 | − | 0.560453i | ||||
\(391\) | 0.707140 | + | 1.22480i | 0.0357616 | + | 0.0619409i | ||||
\(392\) | −10.9242 | − | 19.7268i | −0.551757 | − | 0.996352i | ||||
\(393\) | 16.1449 | − | 28.5493i | 0.814402 | − | 1.44012i | ||||
\(394\) | 20.6077 | − | 20.3638i | 1.03820 | − | 1.02591i | ||||
\(395\) | −1.70514 | − | 1.70514i | −0.0857951 | − | 0.0857951i | ||||
\(396\) | −21.0144 | − | 5.49708i | −1.05601 | − | 0.276239i | ||||
\(397\) | 13.1585 | − | 13.1585i | 0.660408 | − | 0.660408i | −0.295068 | − | 0.955476i | \(-0.595342\pi\) |
0.955476 | + | 0.295068i | \(0.0953425\pi\) | |||||||
\(398\) | −0.887830 | − | 0.00528567i | −0.0445029 | − | 0.000264947i | ||||
\(399\) | 0.261591 | + | 29.3051i | 0.0130959 | + | 1.46709i | ||||
\(400\) | −13.9562 | − | 8.50703i | −0.697812 | − | 0.425352i | ||||
\(401\) | 30.5262 | − | 17.6243i | 1.52440 | − | 0.880115i | 0.524822 | − | 0.851212i | \(-0.324132\pi\) |
0.999582 | − | 0.0289028i | \(-0.00920133\pi\) | |||||||
\(402\) | 2.93895 | + | 1.68517i | 0.146581 | + | 0.0840488i | ||||
\(403\) | 5.85902 | − | 1.56992i | 0.291859 | − | 0.0782033i | ||||
\(404\) | 0.371579 | + | 1.45587i | 0.0184867 | + | 0.0724324i | ||||
\(405\) | −2.52201 | − | 8.22563i | −0.125320 | − | 0.408735i | ||||
\(406\) | −6.20798 | + | 22.6288i | −0.308097 | + | 1.12305i | ||||
\(407\) | −9.46642 | − | 5.46544i | −0.469233 | − | 0.270912i | ||||
\(408\) | 17.6681 | + | 4.90375i | 0.874702 | + | 0.242772i | ||||
\(409\) | 1.13193 | − | 0.653522i | 0.0559705 | − | 0.0323146i | −0.471754 | − | 0.881730i | \(-0.656379\pi\) |
0.527724 | + | 0.849416i | \(0.323045\pi\) | |||||||
\(410\) | 2.51026 | + | 9.59660i | 0.123973 | + | 0.473942i | ||||
\(411\) | 19.6165 | + | 19.2694i | 0.967612 | + | 0.950490i | ||||
\(412\) | 13.5909 | + | 24.2011i | 0.669575 | + | 1.19230i | ||||
\(413\) | 11.3177 | + | 11.3177i | 0.556908 | + | 0.556908i | ||||
\(414\) | −1.60303 | + | 0.0190755i | −0.0787847 | + | 0.000937510i | ||||
\(415\) | 0.258355i | 0.0126821i | ||||||||
\(416\) | −36.1106 | − | 10.8375i | −1.77047 | − | 0.531352i | ||||
\(417\) | −14.5097 | + | 25.6577i | −0.710541 | + | 1.25646i | ||||
\(418\) | 19.3211 | + | 11.3090i | 0.945028 | + | 0.553140i | ||||
\(419\) | −4.73240 | − | 1.26804i | −0.231193 | − | 0.0619480i | 0.141362 | − | 0.989958i | \(-0.454852\pi\) |
−0.372555 | + | 0.928010i | \(0.621518\pi\) | |||||||
\(420\) | −6.37374 | − | 11.1160i | −0.311007 | − | 0.542407i | ||||
\(421\) | 13.7395 | − | 3.68148i | 0.669621 | − | 0.179425i | 0.0920372 | − | 0.995756i | \(-0.470662\pi\) |
0.577584 | + | 0.816331i | \(0.303995\pi\) | |||||||
\(422\) | −1.47822 | + | 5.38828i | −0.0719587 | + | 0.262297i | ||||
\(423\) | −0.373491 | + | 0.224619i | −0.0181598 | + | 0.0109214i | ||||
\(424\) | 16.3234 | − | 15.7505i | 0.792735 | − | 0.764912i | ||||
\(425\) | 7.64687 | − | 13.2448i | 0.370928 | − | 0.642465i | ||||
\(426\) | −23.4137 | − | 6.19913i | −1.13440 | − | 0.300349i | ||||
\(427\) | −24.5107 | − | 6.56763i | −1.18616 | − | 0.317830i | ||||
\(428\) | 3.08829 | + | 3.16273i | 0.149278 | + | 0.152876i | ||||
\(429\) | −10.4556 | + | 40.4622i | −0.504802 | + | 1.95353i | ||||
\(430\) | −0.0206147 | + | 3.46264i | −0.000994131 | + | 0.166984i | ||||
\(431\) | −28.6229 | −1.37871 | −0.689357 | − | 0.724422i | \(-0.742107\pi\) | ||||
−0.689357 | + | 0.724422i | \(0.742107\pi\) | |||||||
\(432\) | −14.6533 | + | 14.7405i | −0.705007 | + | 0.709200i | ||||
\(433\) | −15.4438 | −0.742181 | −0.371091 | − | 0.928597i | \(-0.621016\pi\) | ||||
−0.371091 | + | 0.928597i | \(0.621016\pi\) | |||||||
\(434\) | 0.0296496 | − | 4.98022i | 0.00142323 | − | 0.239058i | ||||
\(435\) | −1.77631 | + | 6.87413i | −0.0851674 | + | 0.329589i | ||||
\(436\) | 13.5876 | − | 13.2678i | 0.650727 | − | 0.635412i | ||||
\(437\) | 1.59600 | + | 0.427647i | 0.0763471 | + | 0.0204571i | ||||
\(438\) | 15.7579 | + | 4.17216i | 0.752944 | + | 0.199354i | ||||
\(439\) | 7.33448 | − | 12.7037i | 0.350056 | − | 0.606314i | −0.636203 | − | 0.771522i | \(-0.719496\pi\) |
0.986259 | + | 0.165207i | \(0.0528293\pi\) | |||||||
\(440\) | −9.78701 | − | 0.174817i | −0.466577 | − | 0.00833405i | ||||
\(441\) | 0.426963 | + | 23.9136i | 0.0203316 | + | 1.13874i | ||||
\(442\) | 9.33326 | − | 34.0207i | 0.443938 | − | 1.61820i | ||||
\(443\) | 14.6646 | − | 3.92938i | 0.696738 | − | 0.186690i | 0.106969 | − | 0.994262i | \(-0.465886\pi\) |
0.589769 | + | 0.807572i | \(0.299219\pi\) | |||||||
\(444\) | −9.07368 | + | 5.20269i | −0.430618 | + | 0.246909i | ||||
\(445\) | 5.41894 | + | 1.45200i | 0.256883 | + | 0.0688315i | ||||
\(446\) | 2.41403 | + | 1.41297i | 0.114308 | + | 0.0669060i | ||||
\(447\) | −5.77478 | + | 10.2116i | −0.273138 | + | 0.482994i | ||||
\(448\) | −16.4252 | + | 26.2383i | −0.776020 | + | 1.23965i | ||||
\(449\) | − | 24.2954i | − | 1.14657i | −0.819356 | − | 0.573285i | \(-0.805669\pi\) | ||
0.819356 | − | 0.573285i | \(-0.194331\pi\) | |||||||
\(450\) | 8.84607 | + | 14.9093i | 0.417008 | + | 0.702830i | ||||
\(451\) | −18.7828 | − | 18.7828i | −0.884446 | − | 0.884446i | ||||
\(452\) | −27.6162 | + | 15.5087i | −1.29896 | + | 0.729470i | ||||
\(453\) | 10.8613 | + | 10.6691i | 0.510309 | + | 0.501279i | ||||
\(454\) | −10.6418 | − | 40.6831i | −0.499445 | − | 1.90935i | ||||
\(455\) | −21.3502 | + | 12.3265i | −1.00091 | + | 0.577877i | ||||
\(456\) | 18.6469 | − | 10.5448i | 0.873220 | − | 0.493805i | ||||
\(457\) | −28.9197 | − | 16.6968i | −1.35281 | − | 0.781043i | −0.364164 | − | 0.931335i | \(-0.618645\pi\) |
−0.988642 | + | 0.150292i | \(0.951979\pi\) | |||||||
\(458\) | 5.52005 | − | 20.1212i | 0.257935 | − | 0.940201i | ||||
\(459\) | −14.1153 | − | 13.3789i | −0.658845 | − | 0.624471i | ||||
\(460\) | −0.700002 | + | 0.178660i | −0.0326378 | + | 0.00833006i | ||||
\(461\) | 7.19708 | − | 1.92845i | 0.335201 | − | 0.0898170i | −0.0872924 | − | 0.996183i | \(-0.527821\pi\) |
0.422494 | + | 0.906366i | \(0.361155\pi\) | |||||||
\(462\) | 29.7669 | + | 17.0681i | 1.38488 | + | 0.794082i | ||||
\(463\) | −25.3264 | + | 14.6222i | −1.17702 | + | 0.679550i | −0.955322 | − | 0.295566i | \(-0.904492\pi\) |
−0.221693 | + | 0.975116i | \(0.571158\pi\) | |||||||
\(464\) | 16.6686 | − | 4.04352i | 0.773822 | − | 0.187716i | ||||
\(465\) | −0.0134510 | − | 1.50686i | −0.000623775 | − | 0.0698792i | ||||
\(466\) | 16.3174 | + | 0.0971454i | 0.755891 | + | 0.00450017i | ||||
\(467\) | 26.1748 | − | 26.1748i | 1.21123 | − | 1.21123i | 0.240604 | − | 0.970623i | \(-0.422654\pi\) |
0.970623 | − | 0.240604i | \(-0.0773455\pi\) | |||||||
\(468\) | 28.4440 | + | 28.1077i | 1.31482 | + | 1.29928i | ||||
\(469\) | −3.78421 | − | 3.78421i | −0.174738 | − | 0.174738i | ||||
\(470\) | −0.139703 | + | 0.138049i | −0.00644400 | + | 0.00636773i | ||||
\(471\) | −6.44933 | + | 11.4045i | −0.297169 | + | 0.525490i | ||||
\(472\) | 3.22943 | − | 11.2451i | 0.148646 | − | 0.517597i | ||||
\(473\) | −4.63630 | − | 8.03030i | −0.213177 | − | 0.369234i | ||||
\(474\) | 4.35617 | − | 4.38215i | 0.200086 | − | 0.201279i | ||||
\(475\) | −4.62449 | − | 17.2588i | −0.212186 | − | 0.791889i | ||||
\(476\) | −24.9103 | − | 14.7802i | −1.14176 | − | 0.677450i | ||||
\(477\) | −23.1246 | + | 6.64087i | −1.05880 | + | 0.304064i | ||||
\(478\) | 12.0453 | + | 21.1530i | 0.550941 | + | 0.967515i | ||||
\(479\) | 11.3632 | − | 19.6817i | 0.519199 | − | 0.899279i | −0.480552 | − | 0.876966i | \(-0.659564\pi\) |
0.999751 | − | 0.0223127i | \(-0.00710295\pi\) | |||||||
\(480\) | −4.85122 | + | 8.01218i | −0.221427 | + | 0.365704i | ||||
\(481\) | 10.0618 | + | 17.4275i | 0.458777 | + | 0.794626i | ||||
\(482\) | 6.63943 | − | 11.3433i | 0.302418 | − | 0.516674i | ||||
\(483\) | 2.45193 | + | 0.633590i | 0.111567 | + | 0.0288293i | ||||
\(484\) | 3.67277 | − | 2.06256i | 0.166944 | − | 0.0937529i | ||||
\(485\) | −6.85739 | + | 6.85739i | −0.311378 | + | 0.311378i | ||||
\(486\) | 21.0577 | − | 6.52491i | 0.955195 | − | 0.295976i | ||||
\(487\) | −1.44462 | −0.0654620 | −0.0327310 | − | 0.999464i | \(-0.510420\pi\) | ||||
−0.0327310 | + | 0.999464i | \(0.510420\pi\) | |||||||
\(488\) | 4.47998 | + | 17.9994i | 0.202799 | + | 0.814796i | ||||
\(489\) | −8.19724 | + | 4.83075i | −0.370692 | + | 0.218454i | ||||
\(490\) | 2.72757 | + | 10.4273i | 0.123219 | + | 0.471059i | ||||
\(491\) | 1.55708 | − | 5.81109i | 0.0702699 | − | 0.262251i | −0.921849 | − | 0.387549i | \(-0.873322\pi\) |
0.992119 | + | 0.125298i | \(0.0399886\pi\) | |||||||
\(492\) | −24.5706 | + | 6.50525i | −1.10773 | + | 0.293279i | ||||
\(493\) | 4.15386 | + | 15.5024i | 0.187080 | + | 0.698193i | ||||
\(494\) | −20.3946 | − | 35.8153i | −0.917598 | − | 1.61140i | ||||
\(495\) | 9.08261 | + | 5.02984i | 0.408233 | + | 0.226074i | ||||
\(496\) | −3.19516 | + | 1.74463i | −0.143467 | + | 0.0783364i | ||||
\(497\) | 33.1348 | + | 19.1304i | 1.48630 | + | 0.858114i | ||||
\(498\) | −0.661993 | + | 0.00196801i | −0.0296646 | + | 8.81885e-5i | ||||
\(499\) | −1.36132 | + | 5.08052i | −0.0609411 | + | 0.227435i | −0.989679 | − | 0.143302i | \(-0.954228\pi\) |
0.928738 | + | 0.370737i | \(0.120895\pi\) | |||||||
\(500\) | 12.1366 | + | 12.4292i | 0.542767 | + | 0.555849i | ||||
\(501\) | −8.69567 | − | 31.3313i | −0.388494 | − | 1.39978i | ||||
\(502\) | 29.2009 | + | 29.5507i | 1.30330 | + | 1.31891i | ||||
\(503\) | 10.8120i | 0.482085i | 0.970515 | + | 0.241043i | \(0.0774893\pi\) | ||||
−0.970515 | + | 0.241043i | \(0.922511\pi\) | |||||||
\(504\) | 28.4345 | − | 16.4164i | 1.26657 | − | 0.731244i | ||||
\(505\) | − | 0.718181i | − | 0.0319586i | ||||||
\(506\) | 1.37608 | − | 1.35979i | 0.0611743 | − | 0.0604502i | ||||
\(507\) | 38.1359 | − | 38.8229i | 1.69368 | − | 1.72419i | ||||
\(508\) | −0.248828 | + | 20.8970i | −0.0110399 | + | 0.927153i | ||||
\(509\) | −6.91687 | + | 25.8141i | −0.306585 | + | 1.14419i | 0.624988 | + | 0.780635i | \(0.285104\pi\) |
−0.931572 | + | 0.363556i | \(0.881563\pi\) | |||||||
\(510\) | −7.60300 | − | 4.35951i | −0.336666 | − | 0.193042i | ||||
\(511\) | −22.3005 | − | 12.8752i | −0.986515 | − | 0.569564i | ||||
\(512\) | 22.5949 | + | 1.21181i | 0.998565 | + | 0.0535550i | ||||
\(513\) | −22.7132 | + | 0.608377i | −1.00281 | + | 0.0268605i | ||||
\(514\) | −2.15413 | + | 1.22664i | −0.0950144 | + | 0.0541050i | ||||
\(515\) | −3.43370 | − | 12.8147i | −0.151307 | − | 0.564685i | ||||
\(516\) | −8.87263 | − | 0.0264454i | −0.390596 | − | 0.00116420i | ||||
\(517\) | 0.136123 | − | 0.508018i | 0.00598668 | − | 0.0223426i | ||||
\(518\) | 15.9848 | − | 4.18128i | 0.702333 | − | 0.183715i | ||||
\(519\) | 0.0715280 | + | 8.01302i | 0.00313973 | + | 0.351732i | ||||
\(520\) | 15.4429 | + | 9.28757i | 0.677215 | + | 0.407287i | ||||
\(521\) | 41.1590 | 1.80321 | 0.901605 | − | 0.432560i | \(-0.142390\pi\) | ||||
0.901605 | + | 0.432560i | \(0.142390\pi\) | |||||||
\(522\) | −17.6274 | − | 4.49914i | −0.771530 | − | 0.196922i | ||||
\(523\) | 5.58726 | − | 5.58726i | 0.244314 | − | 0.244314i | −0.574318 | − | 0.818632i | \(-0.694733\pi\) |
0.818632 | + | 0.574318i | \(0.194733\pi\) | |||||||
\(524\) | 36.4623 | + | 10.2369i | 1.59286 | + | 0.447200i | ||||
\(525\) | −7.32375 | − | 26.3881i | −0.319635 | − | 1.15167i | ||||
\(526\) | 0.242559 | + | 0.141973i | 0.0105761 | + | 0.00619033i | ||||
\(527\) | −1.70319 | − | 2.95001i | −0.0741921 | − | 0.128505i | ||||
\(528\) | 0.373387 | − | 25.0790i | 0.0162496 | − | 1.09142i | ||||
\(529\) | −11.4286 | + | 19.7949i | −0.496896 | + | 0.860649i | ||||
\(530\) | −9.42164 | + | 5.36505i | −0.409250 | + | 0.233043i | ||||
\(531\) | −8.61667 | + | 8.92996i | −0.373932 | + | 0.387527i | ||||
\(532\) | −32.7889 | + | 8.36862i | −1.42158 | + | 0.362826i | ||||
\(533\) | 12.6567 | + | 47.2355i | 0.548223 | + | 2.04599i | ||||
\(534\) | −3.67925 | + | 13.8962i | −0.159217 | + | 0.601349i | ||||
\(535\) | −1.05644 | − | 1.82980i | −0.0456737 | − | 0.0791092i | ||||
\(536\) | −1.07980 | + | 3.75992i | −0.0466401 | + | 0.162404i | ||||
\(537\) | 20.7784 | + | 35.2587i | 0.896656 | + | 1.52152i | ||||
\(538\) | −23.5401 | − | 23.8221i | −1.01489 | − | 1.02704i | ||||
\(539\) | −20.4087 | − | 20.4087i | −0.879067 | − | 0.879067i | ||||
\(540\) | 8.52876 | − | 5.09468i | 0.367019 | − | 0.219240i | ||||
\(541\) | −17.0189 | + | 17.0189i | −0.731702 | + | 0.731702i | −0.970957 | − | 0.239255i | \(-0.923097\pi\) |
0.239255 | + | 0.970957i | \(0.423097\pi\) | |||||||
\(542\) | −0.142046 | + | 23.8594i | −0.00610140 | + | 1.02485i | ||||
\(543\) | −8.16740 | + | 4.81316i | −0.350497 | + | 0.206553i | ||||
\(544\) | −0.630151 | + | 21.1632i | −0.0270175 | + | 0.907365i | ||||
\(545\) | −7.86112 | + | 4.53862i | −0.336733 | + | 0.194413i | ||||
\(546\) | −31.7474 | − | 54.6125i | −1.35866 | − | 2.33720i | ||||
\(547\) | 25.9705 | − | 6.95876i | 1.11042 | − | 0.297535i | 0.343417 | − | 0.939183i | \(-0.388416\pi\) |
0.767000 | + | 0.641648i | \(0.221749\pi\) | |||||||
\(548\) | −16.2020 | + | 27.3066i | −0.692116 | + | 1.16648i | ||||
\(549\) | 4.75189 | − | 19.0912i | 0.202806 | − | 0.814794i | ||||
\(550\) | −20.1748 | − | 5.53477i | −0.860258 | − | 0.236003i | ||||
\(551\) | 16.2383 | + | 9.37517i | 0.691774 | + | 0.399396i | ||||
\(552\) | −0.463120 | − | 1.79228i | −0.0197117 | − | 0.0762847i | ||||
\(553\) | −8.45312 | + | 4.88041i | −0.359463 | + | 0.207536i | ||||
\(554\) | −40.0836 | + | 10.4850i | −1.70299 | + | 0.445465i | ||||
\(555\) | 4.81727 | − | 1.33698i | 0.204482 | − | 0.0567518i | ||||
\(556\) | −32.7692 | − | 9.20004i | −1.38973 | − | 0.390169i | ||||
\(557\) | −8.91025 | − | 8.91025i | −0.377539 | − | 0.377539i | 0.492674 | − | 0.870214i | \(-0.336019\pi\) |
−0.870214 | + | 0.492674i | \(0.836019\pi\) | |||||||
\(558\) | 3.86100 | − | 0.0459445i | 0.163449 | − | 0.00194499i | ||||
\(559\) | 17.0707i | 0.722013i | ||||||||
\(560\) | 10.7085 | − | 10.2102i | 0.452516 | − | 0.431462i | ||||
\(561\) | 23.4682 | − | 0.209488i | 0.990828 | − | 0.00884461i | ||||
\(562\) | −4.87636 | + | 8.33116i | −0.205697 | + | 0.351429i | ||||
\(563\) | 10.9577 | + | 2.93610i | 0.461811 | + | 0.123742i | 0.482221 | − | 0.876050i | \(-0.339830\pi\) |
−0.0204094 | + | 0.999792i | \(0.506497\pi\) | |||||||
\(564\) | −0.354793 | − | 0.356914i | −0.0149395 | − | 0.0150288i | ||||
\(565\) | 14.6231 | − | 3.91824i | 0.615197 | − | 0.164842i | ||||
\(566\) | 13.4097 | + | 3.67881i | 0.563650 | + | 0.154632i | ||||
\(567\) | −34.8027 | + | 1.24316i | −1.46157 | + | 0.0522077i | ||||
\(568\) | 0.499476 | − | 27.9629i | 0.0209575 | − | 1.17330i | ||||
\(569\) | 11.0917 | − | 19.2114i | 0.464989 | − | 0.805384i | −0.534212 | − | 0.845350i | \(-0.679392\pi\) |
0.999201 | + | 0.0399662i | \(0.0127250\pi\) | |||||||
\(570\) | −9.88237 | + | 2.67949i | −0.413927 | + | 0.112231i | ||||
\(571\) | −5.38105 | − | 1.44185i | −0.225190 | − | 0.0603394i | 0.144460 | − | 0.989511i | \(-0.453856\pi\) |
−0.369650 | + | 0.929171i | \(0.620522\pi\) | |||||||
\(572\) | −48.2529 | − | 0.574565i | −2.01756 | − | 0.0240238i | ||||
\(573\) | 6.17452 | + | 6.06527i | 0.257944 | + | 0.253380i | ||||
\(574\) | 40.1505 | + | 0.239035i | 1.67585 | + | 0.00997713i | ||||
\(575\) | −1.54401 | −0.0643898 | ||||||||
\(576\) | −20.5669 | − | 12.3694i | −0.856954 | − | 0.515393i | ||||
\(577\) | −17.9547 | −0.747466 | −0.373733 | − | 0.927536i | \(-0.621922\pi\) | ||||
−0.373733 | + | 0.927536i | \(0.621922\pi\) | |||||||
\(578\) | 4.23025 | + | 0.0251847i | 0.175955 | + | 0.00104755i | ||||
\(579\) | 29.3035 | − | 8.13287i | 1.21781 | − | 0.337991i | ||||
\(580\) | −8.19771 | − | 0.0976131i | −0.340391 | − | 0.00405316i | ||||
\(581\) | 1.01011 | + | 0.270659i | 0.0419066 | + | 0.0112288i | ||||
\(582\) | −17.6232 | − | 17.5187i | −0.730506 | − | 0.726175i | ||||
\(583\) | 14.5167 | − | 25.1437i | 0.601222 | − | 1.04135i | ||||
\(584\) | −0.336159 | + | 18.8197i | −0.0139104 | + | 0.778764i | ||||
\(585\) | −9.85083 | − | 16.3797i | −0.407282 | − | 0.677218i | ||||
\(586\) | 2.62219 | + | 0.719372i | 0.108322 | + | 0.0297170i | ||||
\(587\) | −28.0419 | + | 7.51380i | −1.15741 | + | 0.310128i | −0.785932 | − | 0.618313i | \(-0.787816\pi\) |
−0.371480 | + | 0.928441i | \(0.621150\pi\) | |||||||
\(588\) | −26.6976 | + | 7.06839i | −1.10099 | + | 0.291496i | ||||
\(589\) | −3.84407 | − | 1.03001i | −0.158392 | − | 0.0424410i | ||||
\(590\) | −2.82485 | + | 4.82621i | −0.116297 | + | 0.198692i | ||||
\(591\) | −18.0151 | − | 30.5696i | −0.741041 | − | 1.25746i | ||||
\(592\) | −8.33432 | − | 8.74102i | −0.342538 | − | 0.359254i | ||||
\(593\) | − | 0.243119i | − | 0.00998372i | −0.999988 | − | 0.00499186i | \(-0.998411\pi\) | ||
0.999988 | − | 0.00499186i | \(-0.00158896\pi\) | |||||||
\(594\) | −12.8190 | + | 23.3111i | −0.525969 | + | 0.956465i | ||||
\(595\) | 9.78966 | + | 9.78966i | 0.401337 | + | 0.401337i | ||||
\(596\) | −13.0420 | − | 3.66157i | −0.534222 | − | 0.149984i | ||||
\(597\) | −0.272049 | + | 1.05280i | −0.0111342 | + | 0.0430883i | ||||
\(598\) | −3.44562 | + | 0.901299i | −0.140902 | + | 0.0368568i | ||||
\(599\) | −0.307246 | + | 0.177389i | −0.0125537 | + | 0.00724791i | −0.506264 | − | 0.862379i | \(-0.668974\pi\) |
0.493710 | + | 0.869627i | \(0.335640\pi\) | |||||||
\(600\) | −14.2807 | + | 14.0278i | −0.583009 | + | 0.572684i | ||||
\(601\) | −12.9273 | − | 7.46358i | −0.527316 | − | 0.304446i | 0.212607 | − | 0.977138i | \(-0.431805\pi\) |
−0.739923 | + | 0.672692i | \(0.765138\pi\) | |||||||
\(602\) | 13.5166 | + | 3.70816i | 0.550897 | + | 0.151133i | ||||
\(603\) | 2.88108 | − | 2.98583i | 0.117327 | − | 0.121593i | ||||
\(604\) | −8.97076 | + | 15.1192i | −0.365015 | + | 0.615191i | ||||
\(605\) | −1.94477 | + | 0.521101i | −0.0790663 | + | 0.0211858i | ||||
\(606\) | 1.84022 | − | 0.00547072i | 0.0747540 | − | 0.000222233i | ||||
\(607\) | 35.2640 | − | 20.3597i | 1.43132 | − | 0.826375i | 0.434101 | − | 0.900864i | \(-0.357066\pi\) |
0.997222 | + | 0.0744894i | \(0.0237327\pi\) | |||||||
\(608\) | 16.9626 | + | 18.0038i | 0.687924 | + | 0.730149i | ||||
\(609\) | 25.0155 | + | 14.1465i | 1.01368 | + | 0.573246i | ||||
\(610\) | 0.0527813 | − | 8.86563i | 0.00213705 | − | 0.358959i | ||||
\(611\) | −0.684652 | + | 0.684652i | −0.0276980 | + | 0.0276980i | ||||
\(612\) | 11.1126 | − | 19.5147i | 0.449201 | − | 0.788834i | ||||
\(613\) | 30.0647 | + | 30.0647i | 1.21430 | + | 1.21430i | 0.969597 | + | 0.244706i | \(0.0786913\pi\) |
0.244706 | + | 0.969597i | \(0.421309\pi\) | |||||||
\(614\) | −13.8687 | − | 14.0349i | −0.559697 | − | 0.566401i | ||||
\(615\) | 12.1483 | − | 0.108442i | 0.489869 | − | 0.00437280i | ||||
\(616\) | −10.9366 | + | 38.0821i | −0.440649 | + | 1.53437i | ||||
\(617\) | −10.8854 | − | 18.8541i | −0.438231 | − | 0.759038i | 0.559323 | − | 0.828950i | \(-0.311061\pi\) |
−0.997553 | + | 0.0699125i | \(0.977728\pi\) | |||||||
\(618\) | 32.8096 | − | 8.89593i | 1.31980 | − | 0.357847i | ||||
\(619\) | 10.1255 | + | 37.7889i | 0.406978 | + | 1.51886i | 0.800378 | + | 0.599496i | \(0.204632\pi\) |
−0.393399 | + | 0.919368i | \(0.628701\pi\) | |||||||
\(620\) | 1.68600 | − | 0.430313i | 0.0677113 | − | 0.0172818i | ||||
\(621\) | −0.457213 | + | 1.90947i | −0.0183473 | + | 0.0766243i | ||||
\(622\) | 4.50036 | − | 2.56268i | 0.180448 | − | 0.102754i | ||||
\(623\) | 11.3541 | − | 19.6658i | 0.454891 | − | 0.787894i | ||||
\(624\) | −23.6803 | + | 39.6407i | −0.947970 | + | 1.58690i | ||||
\(625\) | 6.06371 | + | 10.5026i | 0.242548 | + | 0.420106i | ||||
\(626\) | 1.52278 | + | 0.891306i | 0.0608625 | + | 0.0356238i | ||||
\(627\) | 19.2143 | − | 19.5604i | 0.767345 | − | 0.781168i | ||||
\(628\) | −14.5654 | − | 4.08928i | −0.581224 | − | 0.163180i | ||||
\(629\) | 7.99101 | − | 7.99101i | 0.318622 | − | 0.318622i | ||||
\(630\) | −15.1094 | + | 4.24186i | −0.601971 | + | 0.169000i | ||||
\(631\) | −39.4346 | −1.56987 | −0.784934 | − | 0.619579i | \(-0.787303\pi\) | ||||
−0.784934 | + | 0.619579i | \(0.787303\pi\) | |||||||
\(632\) | 6.11426 | + | 3.67720i | 0.243212 | + | 0.146271i | ||||
\(633\) | 5.95660 | + | 3.36852i | 0.236754 | + | 0.133886i | ||||
\(634\) | −2.15672 | + | 0.564152i | −0.0856544 | + | 0.0224053i | ||||
\(635\) | 2.58534 | − | 9.64861i | 0.102596 | − | 0.382893i | ||||
\(636\) | −13.8189 | − | 24.1006i | −0.547953 | − | 0.955650i | ||||
\(637\) | 13.7524 | + | 51.3245i | 0.544888 | + | 2.03355i | ||||
\(638\) | 19.0775 | − | 10.8635i | 0.755286 | − | 0.430090i | ||||
\(639\) | −14.3710 | + | 25.9503i | −0.568507 | + | 1.02658i | ||||
\(640\) | −10.3212 | − | 3.23203i | −0.407980 | − | 0.127757i | ||||
\(641\) | −25.2321 | − | 14.5677i | −0.996606 | − | 0.575391i | −0.0893639 | − | 0.995999i | \(-0.528483\pi\) |
−0.907242 | + | 0.420608i | \(0.861817\pi\) | |||||||
\(642\) | 4.68053 | − | 2.72089i | 0.184726 | − | 0.107385i | ||||
\(643\) | 0.237903 | − | 0.887866i | 0.00938197 | − | 0.0350140i | −0.961076 | − | 0.276284i | \(-0.910897\pi\) |
0.970458 | + | 0.241270i | \(0.0775638\pi\) | |||||||
\(644\) | −0.0348175 | + | 2.92403i | −0.00137200 | + | 0.115223i | ||||
\(645\) | 4.10606 | + | 1.06102i | 0.161676 | + | 0.0417778i | ||||
\(646\) | −16.4635 | + | 16.2686i | −0.647748 | + | 0.640081i | ||||
\(647\) | 36.0035i | 1.41544i | 0.706491 | + | 0.707722i | \(0.250277\pi\) | ||||
−0.706491 | + | 0.707722i | \(0.749723\pi\) | |||||||
\(648\) | 13.1193 | + | 21.8148i | 0.515374 | + | 0.856966i | ||||
\(649\) | − | 14.9749i | − | 0.587817i | ||||||
\(650\) | 27.0708 | + | 27.3950i | 1.06180 | + | 1.07452i | ||||
\(651\) | −5.90562 | − | 1.52604i | −0.231460 | − | 0.0598102i | ||||
\(652\) | −7.67573 | − | 7.86072i | −0.300605 | − | 0.307850i | ||||
\(653\) | 0.220799 | − | 0.824032i | 0.00864052 | − | 0.0322468i | −0.961471 | − | 0.274906i | \(-0.911353\pi\) |
0.970112 | + | 0.242660i | \(0.0780198\pi\) | |||||||
\(654\) | −11.6894 | − | 20.1083i | −0.457090 | − | 0.786296i | ||||
\(655\) | −15.6768 | − | 9.05098i | −0.612542 | − | 0.353651i | ||||
\(656\) | −14.0653 | − | 25.7594i | −0.549156 | − | 1.00574i | ||||
\(657\) | 9.67199 | − | 17.4652i | 0.377340 | − | 0.681381i | ||||
\(658\) | 0.393387 | + | 0.690832i | 0.0153358 | + | 0.0269315i | ||||
\(659\) | 2.06253 | + | 7.69747i | 0.0803448 | + | 0.299851i | 0.994392 | − | 0.105757i | \(-0.0337265\pi\) |
−0.914047 | + | 0.405608i | \(0.867060\pi\) | |||||||
\(660\) | −3.13735 | + | 11.5707i | −0.122121 | + | 0.450389i | ||||
\(661\) | 5.68510 | − | 21.2171i | 0.221125 | − | 0.825249i | −0.762795 | − | 0.646640i | \(-0.776174\pi\) |
0.983920 | − | 0.178609i | \(-0.0571598\pi\) | |||||||
\(662\) | −3.37674 | − | 12.9091i | −0.131241 | − | 0.501726i | ||||
\(663\) | −37.6091 | − | 21.2683i | −1.46062 | − | 0.825991i | ||||
\(664\) | −0.184625 | − | 0.741776i | −0.00716484 | − | 0.0287865i | ||||
\(665\) | 16.1747 | 0.627228 | ||||||||
\(666\) | 3.46250 | + | 12.3333i | 0.134169 | + | 0.477906i | ||||
\(667\) | 1.14572 | − | 1.14572i | 0.0443624 | − | 0.0443624i | ||||
\(668\) | 32.7368 | − | 18.3844i | 1.26662 | − | 0.711314i | ||||
\(669\) | 2.40068 | − | 2.44392i | 0.0928156 | − | 0.0944876i | ||||
\(670\) | 0.944522 | − | 1.61370i | 0.0364901 | − | 0.0623426i | ||||
\(671\) | 11.8706 | + | 20.5605i | 0.458260 | + | 0.793730i | ||||
\(672\) | 26.2437 | + | 27.3610i | 1.01237 | + | 1.05547i | ||||
\(673\) | 22.9778 | − | 39.7988i | 0.885731 | − | 1.53413i | 0.0408565 | − | 0.999165i | \(-0.486991\pi\) |
0.844874 | − | 0.534965i | \(-0.179675\pi\) | |||||||
\(674\) | 9.58662 | + | 16.8352i | 0.369263 | + | 0.648467i | ||||
\(675\) | 20.3543 | − | 6.04248i | 0.783438 | − | 0.232575i | ||||
\(676\) | 54.0423 | + | 32.0653i | 2.07855 | + | 1.23328i | ||||
\(677\) | 1.97264 | + | 7.36199i | 0.0758147 | + | 0.282944i | 0.993417 | − | 0.114556i | \(-0.0365445\pi\) |
−0.917602 | + | 0.397500i | \(0.869878\pi\) | |||||||
\(678\) | 10.1513 | + | 37.4395i | 0.389857 | + | 1.43785i | ||||
\(679\) | 19.6270 | + | 33.9950i | 0.753216 | + | 1.30461i | ||||
\(680\) | 2.79341 | − | 9.72684i | 0.107122 | − | 0.373007i | ||||
\(681\) | −51.5008 | + | 0.459721i | −1.97351 | + | 0.0176165i | ||||
\(682\) | −3.31438 | + | 3.27515i | −0.126914 | + | 0.125412i | ||||
\(683\) | −17.1824 | − | 17.1824i | −0.657466 | − | 0.657466i | 0.297314 | − | 0.954780i | \(-0.403909\pi\) |
−0.954780 | + | 0.297314i | \(0.903909\pi\) | |||||||
\(684\) | −6.94103 | − | 25.3016i | −0.265397 | − | 0.967430i | ||||
\(685\) | 10.7314 | − | 10.7314i | 0.410025 | − | 0.410025i | ||||
\(686\) | 5.32153 | + | 0.0316816i | 0.203177 | + | 0.00120961i | ||||
\(687\) | −22.2435 | − | 12.5789i | −0.848641 | − | 0.479914i | ||||
\(688\) | −2.41528 | − | 9.95651i | −0.0920817 | − | 0.379588i | ||||
\(689\) | −46.2891 | + | 26.7250i | −1.76348 | + | 1.01814i | ||||
\(690\) | 0.00263039 | + | 0.884804i | 0.000100137 | + | 0.0336839i | ||||
\(691\) | −7.38572 | + | 1.97900i | −0.280966 | + | 0.0752846i | −0.396550 | − | 0.918013i | \(-0.629793\pi\) |
0.115584 | + | 0.993298i | \(0.463126\pi\) | |||||||
\(692\) | −8.96559 | + | 2.28827i | −0.340821 | + | 0.0869868i | ||||
\(693\) | 29.1808 | − | 30.2418i | 1.10849 | − | 1.14879i | ||||
\(694\) | 1.92843 | − | 7.02932i | 0.0732020 | − | 0.266829i | ||||
\(695\) | 14.0890 | + | 8.13426i | 0.534424 | + | 0.308550i | ||||
\(696\) | 0.187672 | − | 21.0061i | 0.00711370 | − | 0.796233i | ||||
\(697\) | 23.7830 | − | 13.7311i | 0.900846 | − | 0.520104i | ||||
\(698\) | −8.36892 | − | 31.9939i | −0.316768 | − | 1.21099i | ||||
\(699\) | 5.00000 | − | 19.3495i | 0.189117 | − | 0.731865i | ||||
\(700\) | 27.5719 | − | 15.4839i | 1.04212 | − | 0.585236i | ||||
\(701\) | 20.1418 | + | 20.1418i | 0.760747 | + | 0.760747i | 0.976457 | − | 0.215711i | \(-0.0692068\pi\) |
−0.215711 | + | 0.976457i | \(0.569207\pi\) | |||||||
\(702\) | 41.8954 | − | 25.3660i | 1.58124 | − | 0.957377i | ||||
\(703\) | − | 13.2029i | − | 0.497958i | ||||||
\(704\) | 28.2249 | − | 6.49205i | 1.06377 | − | 0.244678i | ||||
\(705\) | 0.122127 | + | 0.207236i | 0.00459956 | + | 0.00780494i | ||||
\(706\) | −35.8996 | − | 21.0126i | −1.35110 | − | 0.790820i | ||||
\(707\) | −2.80794 | − | 0.752385i | −0.105603 | − | 0.0282964i | ||||
\(708\) | −12.3879 | − | 7.20148i | −0.465566 | − | 0.270648i | ||||
\(709\) | 30.2366 | − | 8.10188i | 1.13556 | − | 0.304272i | 0.358396 | − | 0.933570i | \(-0.383324\pi\) |
0.777165 | + | 0.629297i | \(0.216657\pi\) | |||||||
\(710\) | −3.53664 | + | 12.8914i | −0.132728 | + | 0.483807i | ||||
\(711\) | −3.90021 | − | 6.48518i | −0.146269 | − | 0.243213i | ||||
\(712\) | −16.5962 | − | 0.296444i | −0.621971 | − | 0.0111097i | ||||
\(713\) | −0.171949 | + | 0.297825i | −0.00643955 | + | 0.0111536i | ||||
\(714\) | −25.0099 | + | 25.1590i | −0.935971 | + | 0.941553i | ||||
\(715\) | 22.2795 | + | 5.96977i | 0.833206 | + | 0.223257i | ||||
\(716\) | −33.8112 | + | 33.0155i | −1.26359 | + | 1.23385i | ||||
\(717\) | 28.7270 | − | 7.97289i | 1.07283 | − | 0.297753i | ||||
\(718\) | −0.177943 | + | 29.8890i | −0.00664079 | + | 1.11545i | ||||
\(719\) | 45.7985 | 1.70800 | 0.853999 | − | 0.520275i | \(-0.174171\pi\) | ||||
0.853999 | + | 0.520275i | \(0.174171\pi\) | |||||||
\(720\) | 8.06304 | + | 8.15974i | 0.300492 | + | 0.304096i | ||||
\(721\) | −53.7003 | −1.99990 | ||||||||
\(722\) | −0.00101692 | + | 0.170812i | −3.78460e−5 | + | 0.00635696i | ||||
\(723\) | −11.4838 | − | 11.2806i | −0.427087 | − | 0.419530i | ||||
\(724\) | −7.64779 | − | 7.83211i | −0.284228 | − | 0.291078i | ||||
\(725\) | −16.9245 | − | 4.53489i | −0.628559 | − | 0.168422i | ||||
\(726\) | −1.35005 | − | 4.97920i | −0.0501051 | − | 0.184796i | ||||
\(727\) | 4.35110 | − | 7.53632i | 0.161373 | − | 0.279507i | −0.773988 | − | 0.633200i | \(-0.781741\pi\) |
0.935361 | + | 0.353693i | \(0.115074\pi\) | |||||||
\(728\) | 52.4909 | − | 50.6486i | 1.94544 | − | 1.87716i | ||||
\(729\) | −1.44536 | − | 26.9613i | −0.0535319 | − | 0.998566i | ||||
\(730\) | 2.38024 | − | 8.67623i | 0.0880966 | − | 0.321122i | ||||
\(731\) | 9.25990 | − | 2.48118i | 0.342490 | − | 0.0917699i | ||||
\(732\) | 22.7172 | + | 0.0677100i | 0.839651 | + | 0.00250263i | ||||
\(733\) | −25.1847 | − | 6.74821i | −0.930217 | − | 0.249251i | −0.238270 | − | 0.971199i | \(-0.576580\pi\) |
−0.691947 | + | 0.721948i | \(0.743247\pi\) | |||||||
\(734\) | −28.0846 | − | 16.4384i | −1.03662 | − | 0.606751i | ||||
\(735\) | 13.2000 | − | 0.117829i | 0.486889 | − | 0.00434621i | ||||
\(736\) | 1.88214 | − | 1.01319i | 0.0693766 | − | 0.0373468i | ||||
\(737\) | 5.00703i | 0.184436i | ||||||||
\(738\) | 0.370405 | + | 31.1274i | 0.0136348 | + | 1.14582i | ||||
\(739\) | 4.46836 | + | 4.46836i | 0.164371 | + | 0.164371i | 0.784500 | − | 0.620129i | \(-0.212920\pi\) |
−0.620129 | + | 0.784500i | \(0.712920\pi\) | |||||||
\(740\) | 2.82666 | + | 5.03338i | 0.103910 | + | 0.185031i | ||||
\(741\) | −48.6393 | + | 13.4993i | −1.78681 | + | 0.495910i | ||||
\(742\) | 11.1059 | + | 42.4572i | 0.407710 | + | 1.55865i | ||||
\(743\) | −6.20834 | + | 3.58439i | −0.227762 | + | 0.131499i | −0.609539 | − | 0.792756i | \(-0.708646\pi\) |
0.381777 | + | 0.924254i | \(0.375312\pi\) | |||||||
\(744\) | 1.11545 | + | 4.31683i | 0.0408945 | + | 0.158263i | ||||
\(745\) | 5.60734 | + | 3.23740i | 0.205437 | + | 0.118609i | ||||
\(746\) | −3.80624 | + | 13.8742i | −0.139356 | + | 0.507969i | ||||
\(747\) | −0.195830 | + | 0.786770i | −0.00716506 | + | 0.0287864i | ||||
\(748\) | 6.70178 | + | 26.2581i | 0.245041 | + | 0.960090i | ||||
\(749\) | −8.26090 | + | 2.21350i | −0.301847 | + | 0.0808796i | ||||
\(750\) | 18.3940 | − | 10.6928i | 0.671652 | − | 0.390445i | ||||
\(751\) | 11.9726 | − | 6.91239i | 0.436887 | − | 0.252237i | −0.265389 | − | 0.964141i | \(-0.585500\pi\) |
0.702276 | + | 0.711905i | \(0.252167\pi\) | |||||||
\(752\) | 0.302455 | − | 0.496194i | 0.0110294 | − | 0.0180943i | ||||
\(753\) | 43.8356 | − | 25.8329i | 1.59746 | − | 0.941405i | ||||
\(754\) | −40.4158 | − | 0.240614i | −1.47186 | − | 0.00876265i | ||||
\(755\) | 5.94177 | − | 5.94177i | 0.216243 | − | 0.216243i | ||||
\(756\) | −10.9842 | − | 38.6830i | −0.399491 | − | 1.40689i | ||||
\(757\) | −11.5484 | − | 11.5484i | −0.419735 | − | 0.419735i | 0.465378 | − | 0.885112i | \(-0.345919\pi\) |
−0.885112 | + | 0.465378i | \(0.845919\pi\) | |||||||
\(758\) | −21.6604 | + | 21.4040i | −0.786740 | + | 0.777428i | ||||
\(759\) | −1.20296 | − | 2.04129i | −0.0436646 | − | 0.0740940i | ||||
\(760\) | −5.72779 | − | 10.3431i | −0.207769 | − | 0.375185i | ||||
\(761\) | 24.0288 | + | 41.6190i | 0.871042 | + | 1.50869i | 0.860920 | + | 0.508741i | \(0.169889\pi\) |
0.0101223 | + | 0.999949i | \(0.496778\pi\) | |||||||
\(762\) | 24.7427 | + | 6.55102i | 0.896334 | + | 0.237318i | ||||
\(763\) | 9.50955 | + | 35.4901i | 0.344269 | + | 1.28483i | ||||
\(764\) | −5.09977 | + | 8.59507i | −0.184503 | + | 0.310959i | ||||
\(765\) | −7.45330 | + | 7.72429i | −0.269475 | + | 0.279272i | ||||
\(766\) | −6.20073 | − | 10.8892i | −0.224042 | − | 0.393442i | ||||
\(767\) | −13.7843 | + | 23.8751i | −0.497721 | + | 0.862078i | ||||
\(768\) | 8.20294 | − | 26.4710i | 0.295998 | − | 0.955189i | ||||
\(769\) | 4.47454 | + | 7.75012i | 0.161356 | + | 0.279477i | 0.935355 | − | 0.353710i | \(-0.115080\pi\) |
−0.773999 | + | 0.633186i | \(0.781747\pi\) | |||||||
\(770\) | 9.56652 | − | 16.3442i | 0.344753 | − | 0.589004i | ||||
\(771\) | 0.811923 | + | 2.92543i | 0.0292407 | + | 0.105357i | ||||
\(772\) | 17.1945 | + | 30.6180i | 0.618845 | + | 1.10197i | ||||
\(773\) | −26.5172 | + | 26.5172i | −0.953758 | + | 0.953758i | −0.998977 | − | 0.0452194i | \(-0.985601\pi\) |
0.0452194 | + | 0.998977i | \(0.485601\pi\) | |||||||
\(774\) | −2.68743 | + | 10.5292i | −0.0965976 | + | 0.378464i | ||||
\(775\) | 3.71885 | 0.133585 | ||||||||
\(776\) | 14.7882 | − | 24.5890i | 0.530866 | − | 0.882695i | ||||
\(777\) | −0.180629 | − | 20.2352i | −0.00648004 | − | 0.725934i | ||||
\(778\) | −10.9896 | − | 42.0127i | −0.393997 | − | 1.50623i | ||||
\(779\) | 8.30398 | − | 30.9909i | 0.297521 | − | 1.11036i | ||||
\(780\) | 15.6527 | − | 15.5597i | 0.560458 | − | 0.557127i | ||||
\(781\) | −9.26489 | − | 34.5770i | −0.331524 | − | 1.23726i | ||||
\(782\) | 0.989717 | + | 1.73806i | 0.0353922 | + | 0.0621527i | ||||
\(783\) | −10.6199 | + | 19.5874i | −0.379526 | + | 0.699998i | ||||
\(784\) | −15.2828 | − | 27.9893i | −0.545816 | − | 0.999619i | ||||
\(785\) | 6.26233 | + | 3.61556i | 0.223512 | + | 0.129045i | ||||
\(786\) | 23.0723 | − | 40.2382i | 0.822961 | − | 1.43525i | ||||
\(787\) | −7.69420 | + | 28.7151i | −0.274268 | + | 1.02358i | 0.682062 | + | 0.731295i | \(0.261084\pi\) |
−0.956330 | + | 0.292289i | \(0.905583\pi\) | |||||||
\(788\) | 29.3146 | − | 28.6247i | 1.04429 | − | 1.01971i | ||||
\(789\) | 0.241217 | − | 0.245562i | 0.00858756 | − | 0.00874225i | ||||
\(790\) | −2.39704 | − | 2.42575i | −0.0852828 | − | 0.0863043i | ||||
\(791\) | − | 61.2781i | − | 2.17880i | ||||||
\(792\) | −29.6720 | − | 7.95083i | −1.05435 | − | 0.282520i | ||||
\(793\) | − | 43.7072i | − | 1.55209i | ||||||
\(794\) | 18.7194 | − | 18.4979i | 0.664328 | − | 0.656464i | ||||
\(795\) | 3.55116 | + | 12.7951i | 0.125947 | + | 0.453797i | ||||
\(796\) | −1.25551 | − | 0.0149499i | −0.0445005 | − | 0.000529884i | ||||
\(797\) | 5.53663 | − | 20.6630i | 0.196118 | − | 0.731921i | −0.795857 | − | 0.605485i | \(-0.792979\pi\) |
0.991975 | − | 0.126436i | \(-0.0403540\pi\) | |||||||
\(798\) | 0.123210 | + | 41.4451i | 0.00436160 | + | 1.46714i | ||||
\(799\) | 0.470898 | + | 0.271873i | 0.0166592 | + | 0.00961819i | ||||
\(800\) | −19.6651 | − | 12.1481i | −0.695267 | − | 0.429499i | ||||
\(801\) | 15.4018 | + | 8.52931i | 0.544195 | + | 0.301368i | ||||
\(802\) | 43.3181 | − | 24.6671i | 1.52962 | − | 0.871024i | ||||
\(803\) | 6.23548 | + | 23.2711i | 0.220045 | + | 0.821221i | ||||
\(804\) | 4.14204 | + | 2.40790i | 0.146078 | + | 0.0849199i | ||||
\(805\) | 0.361756 | − | 1.35009i | 0.0127502 | − | 0.0475845i | ||||
\(806\) | 8.29898 | − | 2.17083i | 0.292319 | − | 0.0764644i | ||||
\(807\) | −35.3378 | + | 20.8251i | −1.24395 | + | 0.733077i | ||||
\(808\) | 0.513225 | + | 2.06201i | 0.0180552 | + | 0.0725412i | ||||
\(809\) | −26.2708 | −0.923632 | −0.461816 | − | 0.886976i | \(-0.652802\pi\) | ||||
−0.461816 | + | 0.886976i | \(0.652802\pi\) | |||||||
\(810\) | −3.49735 | − | 11.6538i | −0.122884 | − | 0.409474i | ||||
\(811\) | −0.268850 | + | 0.268850i | −0.00944059 | + | 0.00944059i | −0.711811 | − | 0.702371i | \(-0.752125\pi\) |
0.702371 | + | 0.711811i | \(0.252125\pi\) | |||||||
\(812\) | −8.96978 | + | 31.9491i | −0.314778 | + | 1.12119i | ||||
\(813\) | 28.2928 | + | 7.31100i | 0.992273 | + | 0.256408i | ||||
\(814\) | −13.3413 | − | 7.80886i | −0.467612 | − | 0.273700i | ||||
\(815\) | 2.62570 | + | 4.54784i | 0.0919741 | + | 0.159304i | ||||
\(816\) | 24.9448 | + | 7.08357i | 0.873241 | + | 0.247975i | ||||
\(817\) | 5.59998 | − | 9.69945i | 0.195919 | − | 0.339341i | ||||
\(818\) | 1.60627 | − | 0.914674i | 0.0561619 | − | 0.0319808i | ||||
\(819\) | −74.3613 | + | 21.3549i | −2.59840 | + | 0.746201i | ||||
\(820\) | 3.46919 | + | 13.5925i | 0.121149 | + | 0.474672i | ||||
\(821\) | 1.19461 | + | 4.45834i | 0.0416921 | + | 0.155597i | 0.983634 | − | 0.180180i | \(-0.0576679\pi\) |
−0.941942 | + | 0.335777i | \(0.891001\pi\) | |||||||
\(822\) | 27.5792 | + | 27.4157i | 0.961936 | + | 0.956234i | ||||
\(823\) | 26.4439 | + | 45.8021i | 0.921776 | + | 1.59656i | 0.796666 | + | 0.604420i | \(0.206595\pi\) |
0.125110 | + | 0.992143i | \(0.460072\pi\) | |||||||
\(824\) | 19.0163 | + | 34.3393i | 0.662465 | + | 1.19627i | ||||
\(825\) | −12.6124 | + | 22.3028i | −0.439108 | + | 0.776482i | ||||
\(826\) | 15.9101 | + | 16.1007i | 0.553583 | + | 0.560214i | ||||
\(827\) | −17.9135 | − | 17.9135i | −0.622914 | − | 0.622914i | 0.323362 | − | 0.946275i | \(-0.395187\pi\) |
−0.946275 | + | 0.323362i | \(0.895187\pi\) | |||||||
\(828\) | −2.26715 | + | 0.0134799i | −0.0787889 | + | 0.000468460i | ||||
\(829\) | −33.9865 | + | 33.9865i | −1.18040 | + | 1.18040i | −0.200759 | + | 0.979641i | \(0.564341\pi\) |
−0.979641 | + | 0.200759i | \(0.935659\pi\) | |||||||
\(830\) | −0.00217517 | + | 0.365362i | −7.55013e−5 | + | 0.0126819i | ||||
\(831\) | 0.452946 | + | 50.7419i | 0.0157125 | + | 1.76022i | ||||
\(832\) | −50.9759 | − | 15.6303i | −1.76727 | − | 0.541883i | ||||
\(833\) | 25.8418 | − | 14.9198i | 0.895366 | − | 0.516940i | ||||
\(834\) | −20.7354 | + | 36.1627i | −0.718009 | + | 1.25221i | ||||
\(835\) | −17.3345 | + | 4.64477i | −0.599885 | + | 0.160739i | ||||
\(836\) | 27.2285 | + | 16.1557i | 0.941719 | + | 0.558756i | ||||
\(837\) | 1.10123 | − | 4.59907i | 0.0380640 | − | 0.158967i | ||||
\(838\) | −6.68183 | − | 1.83310i | −0.230820 | − | 0.0633233i | ||||
\(839\) | −4.43002 | − | 2.55767i | −0.152941 | − | 0.0883007i | 0.421576 | − | 0.906793i | \(-0.361477\pi\) |
−0.574518 | + | 0.818492i | \(0.694810\pi\) | |||||||
\(840\) | −8.92008 | − | 15.7738i | −0.307772 | − | 0.544249i | ||||
\(841\) | −9.19106 | + | 5.30646i | −0.316933 | + | 0.182981i | ||||
\(842\) | 19.4612 | − | 5.09063i | 0.670678 | − | 0.175435i | ||||
\(843\) | 8.43433 | + | 8.28509i | 0.290494 | + | 0.285354i | ||||
\(844\) | −2.13585 | + | 7.60760i | −0.0735190 | + | 0.261864i | ||||
\(845\) | −21.2384 | − | 21.2384i | −0.730623 | − | 0.730623i | ||||
\(846\) | −0.530078 | + | 0.314509i | −0.0182245 | + | 0.0108130i | ||||
\(847\) | 8.14959i | 0.280023i | ||||||||
\(848\) | 23.2170 | − | 22.1368i | 0.797275 | − | 0.760179i | ||||
\(849\) | 8.38313 | − | 14.8240i | 0.287708 | − | 0.508760i | ||||
\(850\) | 10.9256 | − | 18.6662i | 0.374746 | − | 0.640246i | ||||
\(851\) | −1.10204 | − | 0.295291i | −0.0377775 | − | 0.0101224i | ||||
\(852\) | −33.0592 | − | 8.96387i | −1.13259 | − | 0.307097i | ||||
\(853\) | −11.8803 | + | 3.18332i | −0.406774 | + | 0.108995i | −0.456403 | − | 0.889773i | \(-0.650863\pi\) |
0.0496295 | + | 0.998768i | \(0.484196\pi\) | |||||||
\(854\) | −34.6075 | − | 9.49423i | −1.18424 | − | 0.324886i | ||||
\(855\) | 0.223865 | + | 12.5384i | 0.00765603 | + | 0.428804i | ||||
\(856\) | 4.34080 | + | 4.49869i | 0.148365 | + | 0.153762i | ||||
\(857\) | −23.2496 | + | 40.2696i | −0.794193 | + | 1.37558i | 0.129158 | + | 0.991624i | \(0.458773\pi\) |
−0.923351 | + | 0.383958i | \(0.874561\pi\) | |||||||
\(858\) | −15.1269 | + | 57.1331i | −0.516423 | + | 1.95049i | ||||
\(859\) | −0.881454 | − | 0.236185i | −0.0300748 | − | 0.00805852i | 0.243750 | − | 0.969838i | \(-0.421622\pi\) |
−0.273825 | + | 0.961780i | \(0.588289\pi\) | |||||||
\(860\) | −0.0583063 | + | 4.89666i | −0.00198823 | + | 0.166975i | ||||
\(861\) | 12.3029 | − | 47.6112i | 0.419283 | − | 1.62258i | ||||
\(862\) | −40.4781 | − | 0.240985i | −1.37869 | − | 0.00820799i | ||||
\(863\) | 8.62192 | 0.293494 | 0.146747 | − | 0.989174i | \(-0.453120\pi\) | ||||
0.146747 | + | 0.989174i | \(0.453120\pi\) | |||||||
\(864\) | −20.8466 | + | 20.7224i | −0.709217 | + | 0.704991i | ||||
\(865\) | 4.42272 | 0.150377 | ||||||||
\(866\) | −21.8404 | − | 0.130026i | −0.742168 | − | 0.00441848i | ||||
\(867\) | 1.29624 | − | 5.01630i | 0.0440225 | − | 0.170363i | ||||
\(868\) | 0.0838602 | − | 7.04272i | 0.00284640 | − | 0.239045i | ||||
\(869\) | 8.82106 | + | 2.36359i | 0.299234 | + | 0.0801795i | ||||
\(870\) | −2.56991 | + | 9.70636i | −0.0871281 | + | 0.329076i | ||||
\(871\) | 4.60893 | − | 7.98290i | 0.156168 | − | 0.270490i | ||||
\(872\) | 19.3271 | − | 18.6488i | 0.654498 | − | 0.631527i | ||||
\(873\) | −26.0807 | + | 15.6851i | −0.882699 | + | 0.530859i | ||||
\(874\) | 2.25345 | + | 0.618211i | 0.0762239 | + | 0.0209113i | ||||
\(875\) | −32.4644 | + | 8.69881i | −1.09750 | + | 0.294074i | ||||
\(876\) | 22.2496 | + | 6.03289i | 0.751744 | + | 0.203833i | ||||
\(877\) | −8.95831 | − | 2.40037i | −0.302501 | − | 0.0810548i | 0.104376 | − | 0.994538i | \(-0.466715\pi\) |
−0.406877 | + | 0.913483i | \(0.633382\pi\) | |||||||
\(878\) | 10.4793 | − | 17.9037i | 0.353659 | − | 0.604220i | ||||
\(879\) | 1.63928 | − | 2.89876i | 0.0552915 | − | 0.0977729i | ||||
\(880\) | −13.8392 | − | 0.329624i | −0.466519 | − | 0.0111116i | ||||
\(881\) | − | 15.7006i | − | 0.528967i | −0.964390 | − | 0.264483i | \(-0.914799\pi\) | ||
0.964390 | − | 0.264483i | \(-0.0852014\pi\) | |||||||
\(882\) | 0.402470 | + | 33.8220i | 0.0135519 | + | 1.13885i | ||||
\(883\) | 19.0929 | + | 19.0929i | 0.642526 | + | 0.642526i | 0.951176 | − | 0.308650i | \(-0.0998771\pi\) |
−0.308650 | + | 0.951176i | \(0.599877\pi\) | |||||||
\(884\) | 13.4854 | − | 48.0332i | 0.453564 | − | 1.61553i | ||||
\(885\) | 4.88598 | + | 4.79952i | 0.164240 | + | 0.161334i | ||||
\(886\) | 20.7716 | − | 5.43341i | 0.697837 | − | 0.182539i | ||||
\(887\) | −13.7996 | + | 7.96720i | −0.463345 | + | 0.267513i | −0.713450 | − | 0.700706i | \(-0.752868\pi\) |
0.250105 | + | 0.968219i | \(0.419535\pi\) | |||||||
\(888\) | −12.8757 | + | 7.28120i | −0.432080 | + | 0.244341i | ||||
\(889\) | −35.0156 | − | 20.2163i | −1.17439 | − | 0.678032i | ||||
\(890\) | 7.65118 | + | 2.09903i | 0.256468 | + | 0.0703596i | ||||
\(891\) | 23.8468 | + | 22.2020i | 0.798899 | + | 0.743793i | ||||
\(892\) | 3.40200 | + | 2.01853i | 0.113907 | + | 0.0675853i | ||||
\(893\) | 0.613613 | − | 0.164417i | 0.0205338 | − | 0.00550201i | ||||
\(894\) | −8.25261 | + | 14.3926i | −0.276008 | + | 0.481360i | ||||
\(895\) | 19.5616 | − | 11.2939i | 0.653871 | − | 0.377513i | ||||
\(896\) | −23.4493 | + | 36.9677i | −0.783386 | + | 1.23500i | ||||
\(897\) | 0.0389356 | + | 4.36181i | 0.00130002 | + | 0.145637i | ||||
\(898\) | 0.204551 | − | 34.3582i | 0.00682595 | − | 1.14655i | ||||
\(899\) | −2.75953 | + | 2.75953i | −0.0920356 | + | 0.0920356i | ||||
\(900\) | 12.3845 | + | 21.1590i | 0.412816 | + | 0.705300i | ||||
\(901\) | 21.2249 | + | 21.2249i | 0.707104 | + | 0.707104i | ||||
\(902\) | −26.4042 | − | 26.7205i | −0.879165 | − | 0.889696i | ||||
\(903\) | 8.45000 | − | 14.9423i | 0.281198 | − | 0.497248i | ||||
\(904\) | −39.1850 | + | 21.6998i | −1.30328 | + | 0.721724i | ||||
\(905\) | 2.61614 | + | 4.53128i | 0.0869634 | + | 0.150625i | ||||
\(906\) | 15.2701 | + | 15.1796i | 0.507316 | + | 0.504308i | ||||
\(907\) | 9.35177 | + | 34.9013i | 0.310520 | + | 1.15888i | 0.928088 | + | 0.372360i | \(0.121451\pi\) |
−0.617568 | + | 0.786517i | \(0.711882\pi\) | |||||||
\(908\) | −14.7070 | − | 57.6231i | −0.488069 | − | 1.91229i | ||||
\(909\) | 0.544374 | − | 2.18709i | 0.0180558 | − | 0.0725410i | ||||
\(910\) | −30.2970 | + | 17.2523i | −1.00433 | + | 0.571908i | ||||
\(911\) | −22.5779 | + | 39.1061i | −0.748040 | + | 1.29564i | 0.200721 | + | 0.979648i | \(0.435671\pi\) |
−0.948761 | + | 0.315994i | \(0.897662\pi\) | |||||||
\(912\) | 26.4590 | − | 14.7553i | 0.876144 | − | 0.488598i | ||||
\(913\) | −0.489201 | − | 0.847320i | −0.0161902 | − | 0.0280422i | ||||
\(914\) | −40.7573 | − | 23.8559i | −1.34813 | − | 0.789083i | ||||
\(915\) | −10.5130 | − | 2.71661i | −0.347549 | − | 0.0898084i | ||||
\(916\) | 7.97580 | − | 28.4087i | 0.263528 | − | 0.938649i | ||||
\(917\) | −51.8109 | + | 51.8109i | −1.71095 | + | 1.71095i | ||||
\(918\) | −19.8490 | − | 19.0391i | −0.655116 | − | 0.628383i | ||||
\(919\) | 50.2366 | 1.65715 | 0.828575 | − | 0.559877i | \(-0.189152\pi\) | ||||
0.828575 | + | 0.559877i | \(0.189152\pi\) | |||||||
\(920\) | −0.991440 | + | 0.246765i | −0.0326868 | + | 0.00813561i | ||||
\(921\) | −20.8194 | + | 12.2692i | −0.686022 | + | 0.404282i | ||||
\(922\) | 10.1943 | − | 2.66660i | 0.335730 | − | 0.0878198i | ||||
\(923\) | −17.0565 | + | 63.6557i | −0.561421 | + | 2.09525i | ||||
\(924\) | 41.9523 | + | 24.3882i | 1.38013 | + | 0.802312i | ||||
\(925\) | 3.19322 | + | 11.9172i | 0.104992 | + | 0.391837i | ||||
\(926\) | −35.9394 | + | 20.4653i | −1.18104 | + | 0.672531i | ||||
\(927\) | −0.743235 | − | 41.6276i | −0.0244111 | − | 1.36723i | ||||
\(928\) | 23.6066 | − | 5.57797i | 0.774926 | − | 0.183106i | ||||
\(929\) | −34.6234 | − | 19.9898i | −1.13596 | − | 0.655844i | −0.190530 | − | 0.981681i | \(-0.561021\pi\) |
−0.945426 | + | 0.325837i | \(0.894354\pi\) | |||||||
\(930\) | −0.00633546 | − | 2.13110i | −0.000207748 | − | 0.0698816i | ||||
\(931\) | 9.02283 | − | 33.6737i | 0.295711 | − | 1.10361i | ||||
\(932\) | 23.0751 | + | 0.274764i | 0.755851 | + | 0.00900019i | ||||
\(933\) | −1.69625 | − | 6.11176i | −0.0555328 | − | 0.200090i | ||||
\(934\) | 37.2365 | − | 36.7958i | 1.21842 | − | 1.20400i | ||||
\(935\) | − | 12.9531i | − | 0.423611i | ||||||
\(936\) | 39.9885 | + | 39.9891i | 1.30706 | + | 1.30708i | ||||
\(937\) | 50.1813i | 1.63935i | 0.572828 | + | 0.819675i | \(0.305846\pi\) | ||||
−0.572828 | + | 0.819675i | \(0.694154\pi\) | |||||||
\(938\) | −5.31972 | − | 5.38344i | −0.173695 | − | 0.175776i | ||||
\(939\) | 1.51436 | − | 1.54164i | 0.0494192 | − | 0.0503094i | ||||
\(940\) | −0.198728 | + | 0.194051i | −0.00648180 | + | 0.00632925i | ||||
\(941\) | −10.2601 | + | 38.2914i | −0.334471 | + | 1.24826i | 0.569970 | + | 0.821665i | \(0.306955\pi\) |
−0.904442 | + | 0.426598i | \(0.859712\pi\) | |||||||
\(942\) | −9.21658 | + | 16.0738i | −0.300293 | + | 0.523711i | ||||
\(943\) | −2.40107 | − | 1.38626i | −0.0781895 | − | 0.0451427i | ||||
\(944\) | 4.66170 | − | 15.8755i | 0.151725 | − | 0.516703i | ||||
\(945\) | 0.514640 | + | 19.2136i | 0.0167412 | + | 0.625020i | ||||
\(946\) | −6.48899 | − | 11.3954i | −0.210975 | − | 0.370496i | ||||
\(947\) | −3.40647 | − | 12.7131i | −0.110695 | − | 0.413121i | 0.888233 | − | 0.459392i | \(-0.151933\pi\) |
−0.998929 | + | 0.0462714i | \(0.985266\pi\) | |||||||
\(948\) | 6.19734 | − | 6.16051i | 0.201280 | − | 0.200084i | ||||
\(949\) | 11.4794 | − | 42.8418i | 0.372638 | − | 1.39070i | ||||
\(950\) | −6.39459 | − | 24.4462i | −0.207468 | − | 0.793138i | ||||
\(951\) | 0.0243711 | + | 2.73020i | 0.000790286 | + | 0.0885327i | ||||
\(952\) | −35.1035 | − | 21.1117i | −1.13771 | − | 0.684236i | ||||
\(953\) | −10.3207 | −0.334320 | −0.167160 | − | 0.985930i | \(-0.553460\pi\) | ||||
−0.167160 | + | 0.985930i | \(0.553460\pi\) | |||||||
\(954\) | −32.7585 | + | 9.19675i | −1.06059 | + | 0.297756i | ||||
\(955\) | 3.37783 | − | 3.37783i | 0.109304 | − | 0.109304i | ||||
\(956\) | 16.8563 | + | 30.0157i | 0.545172 | + | 0.970778i | ||||
\(957\) | −7.19061 | − | 25.9084i | −0.232439 | − | 0.837500i | ||||
\(958\) | 16.2354 | − | 27.7379i | 0.524543 | − | 0.896172i | ||||
\(959\) | −30.7150 | − | 53.2000i | −0.991841 | − | 1.71792i | ||||
\(960\) | −6.92799 | + | 11.2899i | −0.223600 | + | 0.364380i | ||||
\(961\) | −15.0858 | + | 26.1295i | −0.486640 | + | 0.842886i | ||||
\(962\) | 14.0825 | + | 24.7305i | 0.454039 | + | 0.797343i | ||||
\(963\) | −1.83021 | − | 6.37308i | −0.0589776 | − | 0.205370i | ||||
\(964\) | 9.48490 | − | 15.9857i | 0.305488 | − | 0.514865i | ||||
\(965\) | −4.34415 | − | 16.2126i | −0.139843 | − | 0.521902i | ||||
\(966\) | 3.46216 | + | 0.916659i | 0.111393 | + | 0.0294930i | ||||
\(967\) | −25.6787 | − | 44.4768i | −0.825771 | − | 1.43028i | −0.901329 | − | 0.433136i | \(-0.857407\pi\) |
0.0755575 | − | 0.997141i | \(-0.475926\pi\) | |||||||
\(968\) | 5.21136 | − | 2.88593i | 0.167499 | − | 0.0927573i | ||||
\(969\) | 14.3922 | + | 24.4220i | 0.462345 | + | 0.784549i | ||||
\(970\) | −9.75538 | + | 9.63991i | −0.313226 | + | 0.309519i | ||||
\(971\) | −14.0572 | − | 14.0572i | −0.451117 | − | 0.451117i | 0.444608 | − | 0.895725i | \(-0.353343\pi\) |
−0.895725 | + | 0.444608i | \(0.853343\pi\) | |||||||
\(972\) | 29.8345 | − | 9.05017i | 0.956940 | − | 0.290284i | ||||
\(973\) | 46.5632 | − | 46.5632i | 1.49275 | − | 1.49275i | ||||
\(974\) | −2.04297 | − | 0.0121627i | −0.0654609 | − | 0.000389719i | ||||
\(975\) | 40.6379 | − | 23.9485i | 1.30146 | − | 0.766966i | ||||
\(976\) | 6.18400 | + | 25.4923i | 0.197945 | + | 0.815989i | ||||
\(977\) | 26.6234 | − | 15.3711i | 0.851759 | − | 0.491764i | −0.00948463 | − | 0.999955i | \(-0.503019\pi\) |
0.861244 | + | 0.508191i | \(0.169686\pi\) | |||||||
\(978\) | −11.6331 | + | 6.76257i | −0.371986 | + | 0.216243i | ||||
\(979\) | −20.5218 | + | 5.49880i | −0.655880 | + | 0.175742i | ||||
\(980\) | 3.76950 | + | 14.7692i | 0.120412 | + | 0.471785i | ||||
\(981\) | −27.3798 | + | 7.86285i | −0.874169 | + | 0.251042i | ||||
\(982\) | 2.25093 | − | 8.20487i | 0.0718300 | − | 0.261828i | ||||
\(983\) | 36.6682 | + | 21.1704i | 1.16953 | + | 0.675230i | 0.953570 | − | 0.301172i | \(-0.0973777\pi\) |
0.215963 | + | 0.976402i | \(0.430711\pi\) | |||||||
\(984\) | −34.8023 | + | 8.99278i | −1.10946 | + | 0.286679i | ||||
\(985\) | −16.9600 | + | 9.79189i | −0.540392 | + | 0.311995i | ||||
\(986\) | 5.74382 | + | 21.9583i | 0.182920 | + | 0.699295i | ||||
\(987\) | 0.938192 | − | 0.260385i | 0.0298630 | − | 0.00828816i | ||||
\(988\) | −28.5403 | − | 50.8212i | −0.907988 | − | 1.61684i | ||||
\(989\) | −0.684361 | − | 0.684361i | −0.0217614 | − | 0.0217614i | ||||
\(990\) | 12.8022 | + | 7.18961i | 0.406880 | + | 0.228501i | ||||
\(991\) | − | 37.3774i | − | 1.18733i | −0.804711 | − | 0.593666i | \(-0.797680\pi\) | ||
0.804711 | − | 0.593666i | \(-0.202320\pi\) | |||||||
\(992\) | −4.53325 | + | 2.44034i | −0.143931 | + | 0.0774809i | ||||
\(993\) | −16.3416 | + | 0.145873i | −0.518586 | + | 0.00462915i | ||||
\(994\) | 46.6978 | + | 27.3329i | 1.48116 | + | 0.866948i | ||||
\(995\) | 0.579699 | + | 0.155330i | 0.0183777 | + | 0.00492429i | ||||
\(996\) | −0.936199 | − | 0.00279040i | −0.0296646 | − | 8.84172e-5i | ||||
\(997\) | −1.61228 | + | 0.432008i | −0.0510613 | + | 0.0136818i | −0.284259 | − | 0.958747i | \(-0.591748\pi\) |
0.233198 | + | 0.972429i | \(0.425081\pi\) | |||||||
\(998\) | −1.96794 | + | 7.17335i | −0.0622940 | + | 0.227068i | ||||
\(999\) | 15.6835 | − | 0.420085i | 0.496205 | − | 0.0132909i |
(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 | 144.2.u.a.11.22 | ✓ | 88 | |
3.2 | odd | 2 | 432.2.v.a.251.1 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.335.9 | 88 | |||
9.4 | even | 3 | 432.2.v.a.395.7 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.59.16 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.143.14 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.83.16 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.47.21 | 88 | |||
36.23 | even | 6 | 576.2.y.a.527.21 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.719.14 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1007.14 | 88 | |||
48.35 | even | 4 | 432.2.v.a.35.7 | 88 | |||
144.13 | even | 12 | 1728.2.z.a.1583.14 | 88 | |||
144.67 | odd | 12 | 432.2.v.a.179.1 | 88 | |||
144.77 | odd | 12 | 576.2.y.a.239.9 | 88 | |||
144.131 | even | 12 | inner | 144.2.u.a.131.22 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.22 | ✓ | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.59.16 | yes | 88 | 9.5 | odd | 6 | inner | |
144.2.u.a.83.16 | yes | 88 | 16.3 | odd | 4 | inner | |
144.2.u.a.131.22 | yes | 88 | 144.131 | even | 12 | inner | |
432.2.v.a.35.7 | 88 | 48.35 | even | 4 | |||
432.2.v.a.179.1 | 88 | 144.67 | odd | 12 | |||
432.2.v.a.251.1 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.395.7 | 88 | 9.4 | even | 3 | |||
576.2.y.a.47.21 | 88 | 16.13 | even | 4 | |||
576.2.y.a.239.9 | 88 | 144.77 | odd | 12 | |||
576.2.y.a.335.9 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.527.21 | 88 | 36.23 | even | 6 | |||
1728.2.z.a.143.14 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.719.14 | 88 | 36.31 | odd | 6 | |||
1728.2.z.a.1007.14 | 88 | 48.29 | odd | 4 | |||
1728.2.z.a.1583.14 | 88 | 144.13 | even | 12 |