Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 22.2 | ||
Character | \(\chi\) | \(=\) | 81.22 |
Dual form | 81.2.g.a.70.2 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.48270 | − | 1.57157i | −1.04843 | − | 1.11127i | −0.993621 | − | 0.112769i | \(-0.964028\pi\) |
−0.0548041 | − | 0.998497i | \(-0.517453\pi\) | |||||||
\(3\) | −1.47940 | − | 0.900767i | −0.854131 | − | 0.520058i | ||||
\(4\) | −0.155143 | + | 2.66370i | −0.0775715 | + | 1.33185i | ||||
\(5\) | −1.95104 | + | 0.228044i | −0.872532 | + | 0.101984i | −0.540561 | − | 0.841305i | \(-0.681788\pi\) |
−0.331971 | + | 0.943289i | \(0.607714\pi\) | |||||||
\(6\) | 0.777884 | + | 3.66054i | 0.317570 | + | 1.49441i | ||||
\(7\) | −0.320244 | − | 0.160833i | −0.121041 | − | 0.0607890i | 0.387248 | − | 0.921975i | \(-0.373426\pi\) |
−0.508289 | + | 0.861186i | \(0.669722\pi\) | |||||||
\(8\) | 1.10598 | − | 0.928025i | 0.391022 | − | 0.328106i | ||||
\(9\) | 1.37724 | + | 2.66519i | 0.459079 | + | 0.888395i | ||||
\(10\) | 3.25119 | + | 2.72807i | 1.02812 | + | 0.862692i | ||||
\(11\) | −0.894785 | − | 2.07434i | −0.269788 | − | 0.625438i | 0.728430 | − | 0.685121i | \(-0.240251\pi\) |
−0.998217 | + | 0.0596823i | \(0.980991\pi\) | |||||||
\(12\) | 2.62889 | − | 3.80093i | 0.758896 | − | 1.09723i | ||||
\(13\) | −6.78366 | − | 1.60776i | −1.88145 | − | 0.445912i | −0.881780 | − | 0.471661i | \(-0.843655\pi\) |
−0.999668 | + | 0.0257490i | \(0.991803\pi\) | |||||||
\(14\) | 0.222066 | + | 0.741751i | 0.0593495 | + | 0.198241i | ||||
\(15\) | 3.09178 | + | 1.42006i | 0.798294 | + | 0.366659i | ||||
\(16\) | 2.20207 | + | 0.257385i | 0.550517 | + | 0.0643462i | ||||
\(17\) | 0.396984 | − | 2.25141i | 0.0962826 | − | 0.546046i | −0.898064 | − | 0.439865i | \(-0.855026\pi\) |
0.994347 | − | 0.106181i | \(-0.0338624\pi\) | |||||||
\(18\) | 2.14649 | − | 6.11609i | 0.505933 | − | 1.44158i | ||||
\(19\) | −1.11832 | − | 6.34229i | −0.256560 | − | 1.45502i | −0.792037 | − | 0.610473i | \(-0.790979\pi\) |
0.535478 | − | 0.844549i | \(-0.320132\pi\) | |||||||
\(20\) | −0.304751 | − | 5.23237i | −0.0681444 | − | 1.16999i | ||||
\(21\) | 0.328896 | + | 0.526400i | 0.0717709 | + | 0.114870i | ||||
\(22\) | −1.93328 | + | 4.48184i | −0.412176 | + | 0.955531i | ||||
\(23\) | 2.66514 | − | 1.33848i | 0.555719 | − | 0.279093i | −0.148693 | − | 0.988883i | \(-0.547507\pi\) |
0.704413 | + | 0.709791i | \(0.251210\pi\) | |||||||
\(24\) | −2.47211 | + | 0.376691i | −0.504618 | + | 0.0768917i | ||||
\(25\) | −1.11067 | + | 0.263233i | −0.222134 | + | 0.0526466i | ||||
\(26\) | 7.53142 | + | 13.0448i | 1.47703 | + | 2.55829i | ||||
\(27\) | 0.363227 | − | 5.18344i | 0.0699030 | − | 0.997554i | ||||
\(28\) | 0.478093 | − | 0.828082i | 0.0903512 | − | 0.156493i | ||||
\(29\) | −1.97787 | + | 6.60655i | −0.367281 | + | 1.22681i | 0.552213 | + | 0.833703i | \(0.313783\pi\) |
−0.919495 | + | 0.393102i | \(0.871402\pi\) | |||||||
\(30\) | −2.35245 | − | 6.96447i | −0.429496 | − | 1.27153i | ||||
\(31\) | 2.70878 | + | 1.78159i | 0.486512 | + | 0.319984i | 0.768958 | − | 0.639299i | \(-0.220775\pi\) |
−0.282446 | + | 0.959283i | \(0.591146\pi\) | |||||||
\(32\) | −4.58480 | − | 6.15845i | −0.810485 | − | 1.08867i | ||||
\(33\) | −0.544757 | + | 3.87477i | −0.0948301 | + | 0.674512i | ||||
\(34\) | −4.12684 | + | 2.71427i | −0.707748 | + | 0.465493i | ||||
\(35\) | 0.661486 | + | 0.240761i | 0.111812 | + | 0.0406961i | ||||
\(36\) | −7.31293 | + | 3.25507i | −1.21882 | + | 0.542511i | ||||
\(37\) | 7.54073 | − | 2.74460i | 1.23969 | − | 0.451209i | 0.362783 | − | 0.931874i | \(-0.381827\pi\) |
0.876905 | + | 0.480664i | \(0.159604\pi\) | |||||||
\(38\) | −8.30922 | + | 11.1612i | −1.34793 | + | 1.81059i | ||||
\(39\) | 8.58752 | + | 8.48901i | 1.37510 | + | 1.35933i | ||||
\(40\) | −1.94618 | + | 2.06283i | −0.307717 | + | 0.326161i | ||||
\(41\) | −1.48102 | + | 1.56979i | −0.231297 | + | 0.245160i | −0.832619 | − | 0.553847i | \(-0.813159\pi\) |
0.601322 | + | 0.799007i | \(0.294641\pi\) | |||||||
\(42\) | 0.339621 | − | 1.29737i | 0.0524047 | − | 0.200189i | ||||
\(43\) | −2.40751 | + | 3.23384i | −0.367141 | + | 0.493156i | −0.946854 | − | 0.321665i | \(-0.895758\pi\) |
0.579712 | + | 0.814821i | \(0.303165\pi\) | |||||||
\(44\) | 5.66425 | − | 2.06162i | 0.853918 | − | 0.310801i | ||||
\(45\) | −3.29483 | − | 4.88582i | −0.491164 | − | 0.728334i | ||||
\(46\) | −6.05510 | − | 2.20388i | −0.892776 | − | 0.324944i | ||||
\(47\) | 4.29555 | − | 2.82523i | 0.626570 | − | 0.412102i | −0.196129 | − | 0.980578i | \(-0.562837\pi\) |
0.822700 | + | 0.568476i | \(0.192467\pi\) | |||||||
\(48\) | −3.02589 | − | 2.36432i | −0.436749 | − | 0.341261i | ||||
\(49\) | −4.10342 | − | 5.51185i | −0.586203 | − | 0.787407i | ||||
\(50\) | 2.06047 | + | 1.35519i | 0.291395 | + | 0.191653i | ||||
\(51\) | −2.61529 | + | 2.97314i | −0.366214 | + | 0.416322i | ||||
\(52\) | 5.33502 | − | 17.8202i | 0.739834 | − | 2.47122i | ||||
\(53\) | −2.78849 | + | 4.82980i | −0.383028 | + | 0.663424i | −0.991493 | − | 0.130156i | \(-0.958452\pi\) |
0.608465 | + | 0.793580i | \(0.291785\pi\) | |||||||
\(54\) | −8.68468 | + | 7.11464i | −1.18184 | + | 0.968180i | ||||
\(55\) | 2.21880 | + | 3.84308i | 0.299183 | + | 0.518201i | ||||
\(56\) | −0.503439 | + | 0.119317i | −0.0672748 | + | 0.0159444i | ||||
\(57\) | −4.05849 | + | 10.3901i | −0.537560 | + | 1.37621i | ||||
\(58\) | 13.3152 | − | 6.68715i | 1.74837 | − | 0.878066i | ||||
\(59\) | 5.03798 | − | 11.6793i | 0.655889 | − | 1.52052i | −0.186959 | − | 0.982368i | \(-0.559863\pi\) |
0.842847 | − | 0.538153i | \(-0.180878\pi\) | |||||||
\(60\) | −4.26230 | + | 8.01527i | −0.550260 | + | 1.03477i | ||||
\(61\) | −0.123976 | − | 2.12858i | −0.0158735 | − | 0.272537i | −0.996901 | − | 0.0786680i | \(-0.974933\pi\) |
0.981027 | − | 0.193869i | \(-0.0621037\pi\) | |||||||
\(62\) | −1.21641 | − | 6.89860i | −0.154484 | − | 0.876123i | ||||
\(63\) | −0.0124036 | − | 1.07501i | −0.00156271 | − | 0.135439i | ||||
\(64\) | −2.11058 | + | 11.9697i | −0.263822 | + | 1.49621i | ||||
\(65\) | 13.6018 | + | 1.58983i | 1.68710 | + | 0.197194i | ||||
\(66\) | 6.89718 | − | 4.88899i | 0.848984 | − | 0.601794i | ||||
\(67\) | 1.02477 | + | 3.42296i | 0.125195 | + | 0.418181i | 0.997491 | − | 0.0707984i | \(-0.0225547\pi\) |
−0.872296 | + | 0.488979i | \(0.837370\pi\) | |||||||
\(68\) | 5.93548 | + | 1.40674i | 0.719783 | + | 0.170592i | ||||
\(69\) | −5.14846 | − | 0.420519i | −0.619801 | − | 0.0506245i | ||||
\(70\) | −0.602411 | − | 1.39655i | −0.0720019 | − | 0.166919i | ||||
\(71\) | −10.2416 | − | 8.59376i | −1.21546 | − | 1.01989i | −0.999050 | − | 0.0435891i | \(-0.986121\pi\) |
−0.216410 | − | 0.976303i | \(-0.569435\pi\) | |||||||
\(72\) | 3.99655 | + | 1.66952i | 0.470998 | + | 0.196755i | ||||
\(73\) | 1.01372 | − | 0.850615i | 0.118647 | − | 0.0995570i | −0.581534 | − | 0.813522i | \(-0.697547\pi\) |
0.700181 | + | 0.713965i | \(0.253103\pi\) | |||||||
\(74\) | −15.4939 | − | 7.78135i | −1.80113 | − | 0.904563i | ||||
\(75\) | 1.88023 | + | 0.611026i | 0.217110 | + | 0.0705552i | ||||
\(76\) | 17.0675 | − | 1.99490i | 1.95777 | − | 0.228831i | ||||
\(77\) | −0.0470727 | + | 0.808207i | −0.00536443 | + | 0.0921037i | ||||
\(78\) | 0.608355 | − | 26.0825i | 0.0688826 | − | 2.95326i | ||||
\(79\) | −1.41148 | − | 1.49608i | −0.158804 | − | 0.168322i | 0.643086 | − | 0.765794i | \(-0.277654\pi\) |
−0.801890 | + | 0.597472i | \(0.796172\pi\) | |||||||
\(80\) | −4.35502 | −0.486906 | ||||||||
\(81\) | −5.20643 | + | 7.34119i | −0.578492 | + | 0.815688i | ||||
\(82\) | 4.66294 | 0.514935 | ||||||||
\(83\) | 4.49195 | + | 4.76119i | 0.493056 | + | 0.522608i | 0.925345 | − | 0.379127i | \(-0.123776\pi\) |
−0.432289 | + | 0.901735i | \(0.642294\pi\) | |||||||
\(84\) | −1.45320 | + | 0.794413i | −0.158557 | + | 0.0866775i | ||||
\(85\) | −0.261112 | + | 4.48311i | −0.0283215 | + | 0.486262i | ||||
\(86\) | 8.65181 | − | 1.01125i | 0.932948 | − | 0.109046i | ||||
\(87\) | 8.87702 | − | 7.99212i | 0.951716 | − | 0.856845i | ||||
\(88\) | −2.91465 | − | 1.46379i | −0.310703 | − | 0.156041i | ||||
\(89\) | 0.344830 | − | 0.289347i | 0.0365519 | − | 0.0306707i | −0.624329 | − | 0.781162i | \(-0.714627\pi\) |
0.660881 | + | 0.750491i | \(0.270183\pi\) | |||||||
\(90\) | −2.79316 | + | 12.4222i | −0.294424 | + | 1.30942i | ||||
\(91\) | 1.91385 | + | 1.60591i | 0.200626 | + | 0.168345i | ||||
\(92\) | 3.15184 | + | 7.30678i | 0.328602 | + | 0.761785i | ||||
\(93\) | −2.40257 | − | 5.07567i | −0.249135 | − | 0.526322i | ||||
\(94\) | −10.8090 | − | 2.56179i | −1.11487 | − | 0.264228i | ||||
\(95\) | 3.62821 | + | 12.1191i | 0.372246 | + | 1.24339i | ||||
\(96\) | 1.23541 | + | 13.2406i | 0.126089 | + | 1.35137i | ||||
\(97\) | −9.74403 | − | 1.13891i | −0.989357 | − | 0.115639i | −0.394008 | − | 0.919107i | \(-0.628912\pi\) |
−0.595348 | + | 0.803468i | \(0.702986\pi\) | |||||||
\(98\) | −2.57811 | + | 14.6212i | −0.260429 | + | 1.47697i | ||||
\(99\) | 4.29618 | − | 5.24163i | 0.431782 | − | 0.526804i | ||||
\(100\) | −0.528862 | − | 2.99933i | −0.0528862 | − | 0.299933i | ||||
\(101\) | 0.388909 | + | 6.67732i | 0.0386979 | + | 0.664418i | 0.960761 | + | 0.277378i | \(0.0894654\pi\) |
−0.922063 | + | 0.387040i | \(0.873498\pi\) | |||||||
\(102\) | 8.55016 | − | 0.298159i | 0.846592 | − | 0.0295222i | ||||
\(103\) | −6.44147 | + | 14.9330i | −0.634697 | + | 1.47139i | 0.232081 | + | 0.972697i | \(0.425447\pi\) |
−0.866777 | + | 0.498696i | \(0.833813\pi\) | |||||||
\(104\) | −8.99461 | + | 4.51726i | −0.881994 | + | 0.442954i | ||||
\(105\) | −0.761731 | − | 0.952026i | −0.0743374 | − | 0.0929082i | ||||
\(106\) | 11.7248 | − | 2.77884i | 1.13882 | − | 0.269905i | ||||
\(107\) | −5.75970 | − | 9.97610i | −0.556812 | − | 0.964426i | −0.997760 | − | 0.0668935i | \(-0.978691\pi\) |
0.440949 | − | 0.897532i | \(-0.354642\pi\) | |||||||
\(108\) | 13.7508 | + | 1.77170i | 1.32317 | + | 0.170482i | ||||
\(109\) | −4.40675 | + | 7.63271i | −0.422090 | + | 0.731081i | −0.996144 | − | 0.0877366i | \(-0.972037\pi\) |
0.574054 | + | 0.818817i | \(0.305370\pi\) | |||||||
\(110\) | 2.74985 | − | 9.18512i | 0.262187 | − | 0.875767i | ||||
\(111\) | −13.6280 | − | 2.73208i | −1.29351 | − | 0.259317i | ||||
\(112\) | −0.663802 | − | 0.436590i | −0.0627234 | − | 0.0412539i | ||||
\(113\) | −2.95785 | − | 3.97309i | −0.278251 | − | 0.373757i | 0.640924 | − | 0.767604i | \(-0.278551\pi\) |
−0.919176 | + | 0.393848i | \(0.871144\pi\) | |||||||
\(114\) | 22.3463 | − | 9.02722i | 2.09292 | − | 0.845476i | ||||
\(115\) | −4.89456 | + | 3.21920i | −0.456420 | + | 0.300192i | ||||
\(116\) | −17.2910 | − | 6.29342i | −1.60543 | − | 0.584329i | ||||
\(117\) | −5.05775 | − | 20.2940i | −0.467589 | − | 1.87618i | ||||
\(118\) | −25.8247 | + | 9.39941i | −2.37735 | + | 0.865286i | ||||
\(119\) | −0.489231 | + | 0.657151i | −0.0448477 | + | 0.0602409i | ||||
\(120\) | 4.73729 | − | 1.29869i | 0.432454 | − | 0.118554i | ||||
\(121\) | 4.04639 | − | 4.28893i | 0.367854 | − | 0.389902i | ||||
\(122\) | −3.16139 | + | 3.35088i | −0.286219 | + | 0.303375i | ||||
\(123\) | 3.60503 | − | 0.988291i | 0.325055 | − | 0.0891112i | ||||
\(124\) | −5.16588 | + | 6.93899i | −0.463910 | + | 0.623139i | ||||
\(125\) | 11.3362 | − | 4.12605i | 1.01394 | − | 0.369045i | ||||
\(126\) | −1.67107 | + | 1.61341i | −0.148870 | + | 0.143734i | ||||
\(127\) | 2.04843 | + | 0.745569i | 0.181769 | + | 0.0661586i | 0.431301 | − | 0.902208i | \(-0.358055\pi\) |
−0.249532 | + | 0.968367i | \(0.580277\pi\) | |||||||
\(128\) | 9.11129 | − | 5.99259i | 0.805331 | − | 0.529675i | ||||
\(129\) | 6.47460 | − | 2.61554i | 0.570057 | − | 0.230285i | ||||
\(130\) | −17.6689 | − | 23.7334i | −1.54966 | − | 2.08156i | ||||
\(131\) | −6.30374 | − | 4.14604i | −0.550761 | − | 0.362241i | 0.243422 | − | 0.969921i | \(-0.421730\pi\) |
−0.794182 | + | 0.607680i | \(0.792100\pi\) | |||||||
\(132\) | −10.2367 | − | 2.05221i | −0.890992 | − | 0.178622i | ||||
\(133\) | −0.661913 | + | 2.21094i | −0.0573951 | + | 0.191713i | ||||
\(134\) | 3.85999 | − | 6.68569i | 0.333452 | − | 0.577556i | ||||
\(135\) | 0.473383 | + | 10.1959i | 0.0407423 | + | 0.877527i | ||||
\(136\) | −1.65031 | − | 2.85841i | −0.141512 | − | 0.245107i | ||||
\(137\) | 14.2694 | − | 3.38192i | 1.21912 | − | 0.288937i | 0.429803 | − | 0.902923i | \(-0.358583\pi\) |
0.789317 | + | 0.613986i | \(0.210435\pi\) | |||||||
\(138\) | 6.97273 | + | 8.71465i | 0.593558 | + | 0.741840i | ||||
\(139\) | 1.85081 | − | 0.929510i | 0.156983 | − | 0.0788400i | −0.368573 | − | 0.929599i | \(-0.620154\pi\) |
0.525556 | + | 0.850759i | \(0.323857\pi\) | |||||||
\(140\) | −0.743941 | + | 1.72465i | −0.0628745 | + | 0.145759i | ||||
\(141\) | −8.89970 | + | 0.310348i | −0.749490 | + | 0.0261360i | ||||
\(142\) | 1.67959 | + | 28.8374i | 0.140948 | + | 2.41998i | ||||
\(143\) | 2.73487 | + | 15.5102i | 0.228702 | + | 1.29703i | ||||
\(144\) | 2.34679 | + | 6.22339i | 0.195566 | + | 0.518616i | ||||
\(145\) | 2.35232 | − | 13.3407i | 0.195350 | − | 1.10788i | ||||
\(146\) | −2.83984 | − | 0.331930i | −0.235027 | − | 0.0274707i | ||||
\(147\) | 1.10570 | + | 11.8504i | 0.0911967 | + | 0.977408i | ||||
\(148\) | 6.14090 | + | 20.5120i | 0.504779 | + | 1.68608i | ||||
\(149\) | −0.755507 | − | 0.179059i | −0.0618936 | − | 0.0146690i | 0.199552 | − | 0.979887i | \(-0.436051\pi\) |
−0.261446 | + | 0.965218i | \(0.584199\pi\) | |||||||
\(150\) | −1.82755 | − | 3.86088i | −0.149219 | − | 0.315239i | ||||
\(151\) | −2.53605 | − | 5.87921i | −0.206380 | − | 0.478444i | 0.783316 | − | 0.621623i | \(-0.213527\pi\) |
−0.989697 | + | 0.143180i | \(0.954267\pi\) | |||||||
\(152\) | −7.12264 | − | 5.97660i | −0.577722 | − | 0.484767i | ||||
\(153\) | 6.54715 | − | 2.04269i | 0.529306 | − | 0.165141i | ||||
\(154\) | 1.33995 | − | 1.12435i | 0.107976 | − | 0.0906025i | ||||
\(155\) | −5.69123 | − | 2.85824i | −0.457130 | − | 0.229580i | ||||
\(156\) | −23.9445 | + | 21.5576i | −1.91709 | + | 1.72599i | ||||
\(157\) | 12.7358 | − | 1.48860i | 1.01642 | − | 0.118803i | 0.408467 | − | 0.912773i | \(-0.366064\pi\) |
0.607957 | + | 0.793970i | \(0.291989\pi\) | |||||||
\(158\) | −0.258395 | + | 4.43647i | −0.0205568 | + | 0.352946i | ||||
\(159\) | 8.47581 | − | 4.63342i | 0.672175 | − | 0.367454i | ||||
\(160\) | 10.3495 | + | 10.9699i | 0.818201 | + | 0.867243i | ||||
\(161\) | −1.06876 | −0.0842305 | ||||||||
\(162\) | 19.2567 | − | 2.70251i | 1.51295 | − | 0.212329i | ||||
\(163\) | −2.11832 | −0.165920 | −0.0829598 | − | 0.996553i | \(-0.526437\pi\) | ||||
−0.0829598 | + | 0.996553i | \(0.526437\pi\) | |||||||
\(164\) | −3.95168 | − | 4.18854i | −0.308575 | − | 0.327070i | ||||
\(165\) | 0.179225 | − | 7.68407i | 0.0139527 | − | 0.598204i | ||||
\(166\) | 0.822327 | − | 14.1188i | 0.0638249 | − | 1.09583i | ||||
\(167\) | −8.05679 | + | 0.941704i | −0.623453 | + | 0.0728712i | −0.421954 | − | 0.906617i | \(-0.638656\pi\) |
−0.201500 | + | 0.979489i | \(0.564581\pi\) | |||||||
\(168\) | 0.852264 | + | 0.276963i | 0.0657536 | + | 0.0213682i | ||||
\(169\) | 31.8159 | + | 15.9786i | 2.44738 | + | 1.22912i | ||||
\(170\) | 7.43266 | − | 6.23675i | 0.570059 | − | 0.478337i | ||||
\(171\) | 15.3632 | − | 11.7154i | 1.17485 | − | 0.895897i | ||||
\(172\) | −8.24048 | − | 6.91459i | −0.628331 | − | 0.527232i | ||||
\(173\) | −4.35892 | − | 10.1051i | −0.331403 | − | 0.768278i | −0.999703 | − | 0.0243859i | \(-0.992237\pi\) |
0.668300 | − | 0.743892i | \(-0.267022\pi\) | |||||||
\(174\) | −25.7221 | − | 2.10094i | −1.94999 | − | 0.159272i | ||||
\(175\) | 0.398021 | + | 0.0943327i | 0.0300876 | + | 0.00713088i | ||||
\(176\) | −1.43647 | − | 4.79815i | −0.108278 | − | 0.361674i | ||||
\(177\) | −17.9735 | + | 12.7404i | −1.35097 | + | 0.957624i | ||||
\(178\) | −0.966006 | − | 0.112910i | −0.0724052 | − | 0.00846296i | ||||
\(179\) | 0.682573 | − | 3.87106i | 0.0510179 | − | 0.289337i | −0.948615 | − | 0.316433i | \(-0.897515\pi\) |
0.999633 | + | 0.0270959i | \(0.00862594\pi\) | |||||||
\(180\) | 13.5255 | − | 8.01844i | 1.00813 | − | 0.597659i | ||||
\(181\) | 0.472177 | + | 2.67785i | 0.0350967 | + | 0.199043i | 0.997315 | − | 0.0732377i | \(-0.0233332\pi\) |
−0.962218 | + | 0.272281i | \(0.912222\pi\) | |||||||
\(182\) | −0.313863 | − | 5.38881i | −0.0232650 | − | 0.399445i | ||||
\(183\) | −1.73395 | + | 3.26070i | −0.128177 | + | 0.241038i | ||||
\(184\) | 1.70543 | − | 3.95364i | 0.125726 | − | 0.291466i | ||||
\(185\) | −14.0864 | + | 7.07444i | −1.03565 | + | 0.520123i | ||||
\(186\) | −4.41448 | + | 11.3015i | −0.323685 | + | 0.828665i | ||||
\(187\) | −5.02540 | + | 1.19104i | −0.367494 | + | 0.0870977i | ||||
\(188\) | 6.85914 | + | 11.8804i | 0.500254 | + | 0.866465i | ||||
\(189\) | −0.949987 | + | 1.60155i | −0.0691014 | + | 0.116495i | ||||
\(190\) | 13.6664 | − | 23.6709i | 0.991463 | − | 1.71726i | ||||
\(191\) | 1.79478 | − | 5.99499i | 0.129866 | − | 0.433782i | −0.868181 | − | 0.496247i | \(-0.834711\pi\) |
0.998047 | + | 0.0624650i | \(0.0198962\pi\) | |||||||
\(192\) | 13.9043 | − | 15.8068i | 1.00345 | − | 1.14076i | ||||
\(193\) | 0.201713 | + | 0.132669i | 0.0145196 | + | 0.00954971i | 0.556748 | − | 0.830681i | \(-0.312049\pi\) |
−0.542228 | + | 0.840231i | \(0.682419\pi\) | |||||||
\(194\) | 12.6576 | + | 17.0021i | 0.908761 | + | 1.22068i | ||||
\(195\) | −18.6905 | − | 14.6041i | −1.33845 | − | 1.04582i | ||||
\(196\) | 15.3185 | − | 10.0752i | 1.09418 | − | 0.719655i | ||||
\(197\) | −9.00442 | − | 3.27734i | −0.641538 | − | 0.233501i | 0.000707446 | − | 1.00000i | \(-0.499775\pi\) |
−0.642246 | + | 0.766499i | \(0.721997\pi\) | |||||||
\(198\) | −14.6075 | + | 1.02002i | −1.03811 | + | 0.0724896i | ||||
\(199\) | 13.8891 | − | 5.05523i | 0.984575 | − | 0.358356i | 0.200958 | − | 0.979600i | \(-0.435595\pi\) |
0.783617 | + | 0.621244i | \(0.213372\pi\) | |||||||
\(200\) | −0.984086 | + | 1.32186i | −0.0695854 | + | 0.0934694i | ||||
\(201\) | 1.56725 | − | 5.98699i | 0.110545 | − | 0.422290i | ||||
\(202\) | 9.91722 | − | 10.5116i | 0.697773 | − | 0.739596i | ||||
\(203\) | 1.69595 | − | 1.79760i | 0.119032 | − | 0.126167i | ||||
\(204\) | −7.51380 | − | 7.42761i | −0.526071 | − | 0.520037i | ||||
\(205\) | 2.53155 | − | 3.40046i | 0.176811 | − | 0.237499i | ||||
\(206\) | 33.0190 | − | 12.0179i | 2.30054 | − | 0.837328i | ||||
\(207\) | 7.23783 | + | 5.25967i | 0.503064 | + | 0.365573i | ||||
\(208\) | −14.5243 | − | 5.28640i | −1.00708 | − | 0.366546i | ||||
\(209\) | −12.1554 | + | 7.99476i | −0.840810 | + | 0.553009i | ||||
\(210\) | −0.366756 | + | 2.60868i | −0.0253086 | + | 0.180016i | ||||
\(211\) | −10.2632 | − | 13.7858i | −0.706545 | − | 0.949055i | 0.293431 | − | 0.955980i | \(-0.405203\pi\) |
−0.999976 | + | 0.00692523i | \(0.997796\pi\) | |||||||
\(212\) | −12.4325 | − | 8.17701i | −0.853870 | − | 0.561599i | ||||
\(213\) | 7.41050 | + | 21.9389i | 0.507759 | + | 1.50323i | ||||
\(214\) | −7.13821 | + | 23.8433i | −0.487958 | + | 1.62989i | ||||
\(215\) | 3.95969 | − | 6.85838i | 0.270048 | − | 0.467737i | ||||
\(216\) | −4.40864 | − | 6.06985i | −0.299970 | − | 0.413001i | ||||
\(217\) | −0.580933 | − | 1.00621i | −0.0394363 | − | 0.0683057i | ||||
\(218\) | 18.5292 | − | 4.39150i | 1.25495 | − | 0.297430i | ||||
\(219\) | −2.26591 | + | 0.345270i | −0.153116 | + | 0.0233312i | ||||
\(220\) | −10.5810 | + | 5.31400i | −0.713374 | + | 0.358270i | ||||
\(221\) | −6.31271 | + | 14.6345i | −0.424639 | + | 0.984424i | ||||
\(222\) | 15.9125 | + | 25.4681i | 1.06798 | + | 1.70931i | ||||
\(223\) | −1.16909 | − | 20.0725i | −0.0782880 | − | 1.34415i | −0.777339 | − | 0.629082i | \(-0.783431\pi\) |
0.699051 | − | 0.715072i | \(-0.253606\pi\) | |||||||
\(224\) | 0.477774 | + | 2.70959i | 0.0319226 | + | 0.181042i | ||||
\(225\) | −2.23122 | − | 2.59760i | −0.148748 | − | 0.173173i | ||||
\(226\) | −1.85837 | + | 10.5394i | −0.123617 | + | 0.701067i | ||||
\(227\) | −24.7608 | − | 2.89413i | −1.64343 | − | 0.192090i | −0.756502 | − | 0.653991i | \(-0.773093\pi\) |
−0.886931 | + | 0.461901i | \(0.847168\pi\) | |||||||
\(228\) | −27.0465 | − | 12.4226i | −1.79120 | − | 0.822704i | ||||
\(229\) | −2.50582 | − | 8.37002i | −0.165589 | − | 0.553106i | −0.999998 | − | 0.00196038i | \(-0.999376\pi\) |
0.834409 | − | 0.551146i | \(-0.185809\pi\) | |||||||
\(230\) | 12.3163 | + | 2.91903i | 0.812115 | + | 0.192475i | ||||
\(231\) | 0.797645 | − | 1.15326i | 0.0524812 | − | 0.0758788i | ||||
\(232\) | 3.94356 | + | 9.14220i | 0.258907 | + | 0.600215i | ||||
\(233\) | 1.86705 | + | 1.56664i | 0.122314 | + | 0.102634i | 0.701893 | − | 0.712282i | \(-0.252338\pi\) |
−0.579579 | + | 0.814916i | \(0.696783\pi\) | |||||||
\(234\) | −24.3942 | + | 38.0384i | −1.59470 | + | 2.48665i | ||||
\(235\) | −7.73652 | + | 6.49171i | −0.504675 | + | 0.423472i | ||||
\(236\) | 30.3287 | + | 15.2316i | 1.97423 | + | 0.991495i | ||||
\(237\) | 0.740520 | + | 3.48471i | 0.0481019 | + | 0.226356i | ||||
\(238\) | 1.75814 | − | 0.205497i | 0.113963 | − | 0.0133204i | ||||
\(239\) | −0.787771 | + | 13.5255i | −0.0509567 | + | 0.874892i | 0.871885 | + | 0.489711i | \(0.162898\pi\) |
−0.922841 | + | 0.385181i | \(0.874139\pi\) | |||||||
\(240\) | 6.44280 | + | 3.92285i | 0.415881 | + | 0.253219i | ||||
\(241\) | −13.3605 | − | 14.1613i | −0.860625 | − | 0.912210i | 0.136292 | − | 0.990669i | \(-0.456481\pi\) |
−0.996917 | + | 0.0784591i | \(0.975000\pi\) | |||||||
\(242\) | −12.7399 | −0.818953 | ||||||||
\(243\) | 14.3151 | − | 6.17077i | 0.918313 | − | 0.395855i | ||||
\(244\) | 5.68915 | 0.364210 | ||||||||
\(245\) | 9.26289 | + | 9.81809i | 0.591784 | + | 0.627255i | ||||
\(246\) | −6.89834 | − | 4.20022i | −0.439822 | − | 0.267796i | ||||
\(247\) | −2.61058 | + | 44.8220i | −0.166107 | + | 2.85195i | ||||
\(248\) | 4.64921 | − | 0.543415i | 0.295225 | − | 0.0345069i | ||||
\(249\) | −2.35666 | − | 11.0899i | −0.149347 | − | 0.702794i | ||||
\(250\) | −23.2926 | − | 11.6980i | −1.47315 | − | 0.739844i | ||||
\(251\) | −6.38322 | + | 5.35615i | −0.402905 | + | 0.338077i | −0.821615 | − | 0.570042i | \(-0.806927\pi\) |
0.418710 | + | 0.908120i | \(0.362482\pi\) | |||||||
\(252\) | 2.86544 | + | 0.133741i | 0.180506 | + | 0.00842491i | ||||
\(253\) | −5.16119 | − | 4.33076i | −0.324481 | − | 0.272272i | ||||
\(254\) | −1.86550 | − | 4.32471i | −0.117052 | − | 0.271356i | ||||
\(255\) | 4.42453 | − | 6.39711i | 0.277075 | − | 0.400603i | ||||
\(256\) | 0.726392 | + | 0.172158i | 0.0453995 | + | 0.0107599i | ||||
\(257\) | 4.00143 | + | 13.3657i | 0.249603 | + | 0.833730i | 0.987337 | + | 0.158639i | \(0.0507106\pi\) |
−0.737734 | + | 0.675091i | \(0.764104\pi\) | |||||||
\(258\) | −13.7104 | − | 6.29722i | −0.853570 | − | 0.392048i | ||||
\(259\) | −2.85629 | − | 0.333853i | −0.177481 | − | 0.0207446i | ||||
\(260\) | −6.34505 | + | 35.9846i | −0.393503 | + | 2.23167i | ||||
\(261\) | −20.3317 | + | 3.82740i | −1.25850 | + | 0.236910i | ||||
\(262\) | 2.83077 | + | 16.0541i | 0.174885 | + | 0.991824i | ||||
\(263\) | −0.0693865 | − | 1.19132i | −0.00427856 | − | 0.0734600i | 0.995493 | − | 0.0948354i | \(-0.0302325\pi\) |
−0.999772 | + | 0.0213755i | \(0.993195\pi\) | |||||||
\(264\) | 2.99340 | + | 4.79096i | 0.184231 | + | 0.294863i | ||||
\(265\) | 4.33904 | − | 10.0590i | 0.266545 | − | 0.617922i | ||||
\(266\) | 4.45606 | − | 2.23792i | 0.273219 | − | 0.137216i | ||||
\(267\) | −0.770775 | + | 0.117448i | −0.0471707 | + | 0.00718768i | ||||
\(268\) | −9.27672 | + | 2.19862i | −0.566666 | + | 0.134302i | ||||
\(269\) | 2.16750 | + | 3.75421i | 0.132155 | + | 0.228898i | 0.924507 | − | 0.381165i | \(-0.124477\pi\) |
−0.792352 | + | 0.610064i | \(0.791144\pi\) | |||||||
\(270\) | 15.3217 | − | 15.8614i | 0.932450 | − | 0.965297i | ||||
\(271\) | 3.49025 | − | 6.04530i | 0.212018 | − | 0.367226i | −0.740328 | − | 0.672246i | \(-0.765330\pi\) |
0.952346 | + | 0.305020i | \(0.0986632\pi\) | |||||||
\(272\) | 1.45366 | − | 4.85557i | 0.0881412 | − | 0.294412i | ||||
\(273\) | −1.38479 | − | 4.09971i | −0.0838115 | − | 0.248125i | ||||
\(274\) | −26.4722 | − | 17.4110i | −1.59924 | − | 1.05184i | ||||
\(275\) | 1.53984 | + | 2.06837i | 0.0928561 | + | 0.124727i | ||||
\(276\) | 1.91888 | − | 13.6487i | 0.115503 | − | 0.821556i | ||||
\(277\) | 10.5321 | − | 6.92705i | 0.632811 | − | 0.416206i | −0.192174 | − | 0.981361i | \(-0.561554\pi\) |
0.824985 | + | 0.565155i | \(0.191184\pi\) | |||||||
\(278\) | −4.20497 | − | 1.53049i | −0.252198 | − | 0.0917924i | ||||
\(279\) | −1.01764 | + | 9.67309i | −0.0609245 | + | 0.579113i | ||||
\(280\) | 0.955020 | − | 0.347599i | 0.0570734 | − | 0.0207730i | ||||
\(281\) | 13.9687 | − | 18.7633i | 0.833305 | − | 1.11932i | −0.157961 | − | 0.987445i | \(-0.550492\pi\) |
0.991266 | − | 0.131877i | \(-0.0421005\pi\) | |||||||
\(282\) | 13.6833 | + | 13.5263i | 0.814828 | + | 0.805481i | ||||
\(283\) | 2.00134 | − | 2.12130i | 0.118967 | − | 0.126098i | −0.665152 | − | 0.746708i | \(-0.731633\pi\) |
0.784120 | + | 0.620610i | \(0.213115\pi\) | |||||||
\(284\) | 24.4801 | − | 25.9474i | 1.45263 | − | 1.53970i | ||||
\(285\) | 5.54888 | − | 21.1971i | 0.328687 | − | 1.25561i | ||||
\(286\) | 20.3204 | − | 27.2950i | 1.20157 | − | 1.61399i | ||||
\(287\) | 0.726761 | − | 0.264519i | 0.0428994 | − | 0.0156141i | ||||
\(288\) | 10.0991 | − | 20.7010i | 0.595092 | − | 1.21982i | ||||
\(289\) | 11.0635 | + | 4.02680i | 0.650797 | + | 0.236871i | ||||
\(290\) | −24.4536 | + | 16.0834i | −1.43596 | + | 0.944448i | ||||
\(291\) | 13.3894 | + | 10.4620i | 0.784901 | + | 0.613294i | ||||
\(292\) | 2.10851 | + | 2.83222i | 0.123391 | + | 0.165743i | ||||
\(293\) | 13.0065 | + | 8.55450i | 0.759847 | + | 0.499759i | 0.869331 | − | 0.494229i | \(-0.164550\pi\) |
−0.109485 | + | 0.993988i | \(0.534920\pi\) | |||||||
\(294\) | 16.9844 | − | 19.3083i | 0.990548 | − | 1.12608i | ||||
\(295\) | −7.16589 | + | 23.9358i | −0.417214 | + | 1.39359i | ||||
\(296\) | 5.79281 | − | 10.0334i | 0.336700 | − | 0.583182i | ||||
\(297\) | −11.0773 | + | 3.88461i | −0.642767 | + | 0.225408i | ||||
\(298\) | 0.838786 | + | 1.45282i | 0.0485896 | + | 0.0841596i | ||||
\(299\) | −20.2313 | + | 4.79491i | −1.17001 | + | 0.277297i | ||||
\(300\) | −1.91930 | + | 4.91358i | −0.110811 | + | 0.283686i | ||||
\(301\) | 1.29110 | − | 0.648413i | 0.0744176 | − | 0.0373739i | ||||
\(302\) | −5.47939 | + | 12.7027i | −0.315304 | + | 0.730956i | ||||
\(303\) | 5.43935 | − | 10.2287i | 0.312483 | − | 0.587625i | ||||
\(304\) | −0.830200 | − | 14.2540i | −0.0476153 | − | 0.817522i | ||||
\(305\) | 0.727293 | + | 4.12468i | 0.0416447 | + | 0.236179i | ||||
\(306\) | −12.9177 | − | 7.26061i | −0.738454 | − | 0.415061i | ||||
\(307\) | −0.799261 | + | 4.53283i | −0.0456162 | + | 0.258703i | −0.999084 | − | 0.0427925i | \(-0.986375\pi\) |
0.953468 | + | 0.301495i | \(0.0974857\pi\) | |||||||
\(308\) | −2.14552 | − | 0.250775i | −0.122252 | − | 0.0142892i | ||||
\(309\) | 22.9806 | − | 16.2896i | 1.30732 | − | 0.926683i | ||||
\(310\) | 3.94645 | + | 13.1821i | 0.224143 | + | 0.748691i | ||||
\(311\) | −18.8430 | − | 4.46588i | −1.06849 | − | 0.253237i | −0.341497 | − | 0.939883i | \(-0.610934\pi\) |
−0.726992 | + | 0.686646i | \(0.759082\pi\) | |||||||
\(312\) | 17.3756 | + | 1.41921i | 0.983700 | + | 0.0803472i | ||||
\(313\) | −8.54541 | − | 19.8105i | −0.483015 | − | 1.11975i | −0.969284 | − | 0.245945i | \(-0.920902\pi\) |
0.486269 | − | 0.873809i | \(-0.338358\pi\) | |||||||
\(314\) | −21.2227 | − | 17.8080i | −1.19767 | − | 1.00496i | ||||
\(315\) | 0.269351 | + | 2.09457i | 0.0151762 | + | 0.118016i | ||||
\(316\) | 4.20409 | − | 3.52765i | 0.236499 | − | 0.198446i | ||||
\(317\) | 27.1434 | + | 13.6319i | 1.52453 | + | 0.765646i | 0.996501 | − | 0.0835822i | \(-0.0266361\pi\) |
0.528026 | + | 0.849228i | \(0.322932\pi\) | |||||||
\(318\) | −19.8488 | − | 6.45034i | −1.11306 | − | 0.361717i | ||||
\(319\) | 15.4740 | − | 1.80865i | 0.866379 | − | 0.101265i | ||||
\(320\) | 1.38821 | − | 23.8346i | 0.0776033 | − | 1.33240i | ||||
\(321\) | −0.465243 | + | 19.9468i | −0.0259674 | + | 1.11332i | ||||
\(322\) | 1.58465 | + | 1.67964i | 0.0883094 | + | 0.0936025i | ||||
\(323\) | −14.7230 | −0.819211 | ||||||||
\(324\) | −18.7470 | − | 15.0073i | −1.04150 | − | 0.833739i | ||||
\(325\) | 7.95761 | 0.441409 | ||||||||
\(326\) | 3.14083 | + | 3.32908i | 0.173954 | + | 0.184381i | ||||
\(327\) | 13.3946 | − | 7.32237i | 0.740724 | − | 0.404928i | ||||
\(328\) | −0.181170 | + | 3.11057i | −0.0100035 | + | 0.171753i | ||||
\(329\) | −1.83001 | + | 0.213898i | −0.100892 | + | 0.0117926i | ||||
\(330\) | −12.3418 | + | 11.1115i | −0.679392 | + | 0.611667i | ||||
\(331\) | 1.00612 | + | 0.505293i | 0.0553014 | + | 0.0277734i | 0.476235 | − | 0.879318i | \(-0.342001\pi\) |
−0.420934 | + | 0.907091i | \(0.638297\pi\) | |||||||
\(332\) | −13.3793 | + | 11.2266i | −0.734283 | + | 0.616137i | ||||
\(333\) | 17.7002 | + | 16.3175i | 0.969967 | + | 0.894192i | ||||
\(334\) | 13.4257 | + | 11.2655i | 0.734624 | + | 0.616422i | ||||
\(335\) | −2.77994 | − | 6.44463i | −0.151885 | − | 0.352108i | ||||
\(336\) | 0.588763 | + | 1.24382i | 0.0321196 | + | 0.0678560i | ||||
\(337\) | 4.42168 | + | 1.04796i | 0.240865 | + | 0.0570859i | 0.349275 | − | 0.937020i | \(-0.386428\pi\) |
−0.108410 | + | 0.994106i | \(0.534576\pi\) | |||||||
\(338\) | −22.0620 | − | 73.6922i | −1.20002 | − | 4.00833i | ||||
\(339\) | 0.797019 | + | 8.54211i | 0.0432881 | + | 0.463944i | ||||
\(340\) | −11.9012 | − | 1.39105i | −0.645431 | − | 0.0754401i | ||||
\(341\) | 1.27186 | − | 7.21309i | 0.0688752 | − | 0.390611i | ||||
\(342\) | −41.1905 | − | 6.77395i | −2.22733 | − | 0.366293i | ||||
\(343\) | 0.863213 | + | 4.89552i | 0.0466091 | + | 0.264333i | ||||
\(344\) | 0.338439 | + | 5.81078i | 0.0182474 | + | 0.313296i | ||||
\(345\) | 10.1407 | − | 0.353626i | 0.545959 | − | 0.0190386i | ||||
\(346\) | −9.41791 | + | 21.8332i | −0.506310 | + | 1.17376i | ||||
\(347\) | 17.7269 | − | 8.90277i | 0.951628 | − | 0.477926i | 0.0959228 | − | 0.995389i | \(-0.469420\pi\) |
0.855706 | + | 0.517463i | \(0.173124\pi\) | |||||||
\(348\) | 19.9114 | + | 24.8856i | 1.06736 | + | 1.33401i | ||||
\(349\) | 11.4413 | − | 2.71164i | 0.612439 | − | 0.145151i | 0.0873209 | − | 0.996180i | \(-0.472169\pi\) |
0.525118 | + | 0.851030i | \(0.324021\pi\) | |||||||
\(350\) | −0.441895 | − | 0.765384i | −0.0236203 | − | 0.0409115i | ||||
\(351\) | −10.7977 | + | 34.5787i | −0.576340 | + | 1.84568i | ||||
\(352\) | −8.67234 | + | 15.0209i | −0.462237 | + | 0.800618i | ||||
\(353\) | −6.71601 | + | 22.4330i | −0.357457 | + | 1.19399i | 0.570498 | + | 0.821299i | \(0.306750\pi\) |
−0.927955 | + | 0.372691i | \(0.878435\pi\) | |||||||
\(354\) | 46.6716 | + | 9.35653i | 2.48057 | + | 0.497294i | ||||
\(355\) | 21.9416 | + | 14.4312i | 1.16454 | + | 0.765930i | ||||
\(356\) | 0.717235 | + | 0.963414i | 0.0380134 | + | 0.0510609i | ||||
\(357\) | 1.31571 | − | 0.531505i | 0.0696346 | − | 0.0281302i | ||||
\(358\) | −7.09569 | + | 4.66691i | −0.375019 | + | 0.246654i | ||||
\(359\) | 19.8136 | + | 7.21154i | 1.04572 | + | 0.380611i | 0.807046 | − | 0.590489i | \(-0.201065\pi\) |
0.238674 | + | 0.971100i | \(0.423287\pi\) | |||||||
\(360\) | −8.17816 | − | 2.34592i | −0.431027 | − | 0.123641i | ||||
\(361\) | −21.1199 | + | 7.68702i | −1.11157 | + | 0.404580i | ||||
\(362\) | 3.50833 | − | 4.71250i | 0.184393 | − | 0.247683i | ||||
\(363\) | −9.84955 | + | 2.70017i | −0.516967 | + | 0.141722i | ||||
\(364\) | −4.57458 | + | 4.84877i | −0.239773 | + | 0.254145i | ||||
\(365\) | −1.78384 | + | 1.89076i | −0.0933704 | + | 0.0989668i | ||||
\(366\) | 7.69532 | − | 2.10961i | 0.402241 | − | 0.110271i | ||||
\(367\) | −10.1083 | + | 13.5778i | −0.527650 | + | 0.708757i | −0.983420 | − | 0.181340i | \(-0.941956\pi\) |
0.455770 | + | 0.890097i | \(0.349364\pi\) | |||||||
\(368\) | 6.21331 | − | 2.26146i | 0.323891 | − | 0.117887i | ||||
\(369\) | −6.22350 | − | 1.78522i | −0.323983 | − | 0.0929348i | ||||
\(370\) | 32.0038 | + | 11.6484i | 1.66380 | + | 0.605573i | ||||
\(371\) | 1.66979 | − | 1.09823i | 0.0866909 | − | 0.0570175i | ||||
\(372\) | 13.8928 | − | 5.61227i | 0.720309 | − | 0.290983i | ||||
\(373\) | 10.3991 | + | 13.9685i | 0.538447 | + | 0.723260i | 0.985202 | − | 0.171396i | \(-0.0548278\pi\) |
−0.446755 | + | 0.894656i | \(0.647420\pi\) | |||||||
\(374\) | 9.32296 | + | 6.13181i | 0.482079 | + | 0.317068i | ||||
\(375\) | −20.4874 | − | 4.10723i | −1.05797 | − | 0.212096i | ||||
\(376\) | 2.12890 | − | 7.11101i | 0.109789 | − | 0.366722i | ||||
\(377\) | 24.0389 | − | 41.6366i | 1.23807 | − | 2.14440i | ||||
\(378\) | 3.92548 | − | 0.881641i | 0.201905 | − | 0.0453467i | ||||
\(379\) | −3.61984 | − | 6.26975i | −0.185939 | − | 0.322056i | 0.757954 | − | 0.652308i | \(-0.226199\pi\) |
−0.943892 | + | 0.330253i | \(0.892866\pi\) | |||||||
\(380\) | −32.8444 | + | 7.78427i | −1.68488 | + | 0.399325i | ||||
\(381\) | −2.35887 | − | 2.94816i | −0.120848 | − | 0.151039i | ||||
\(382\) | −12.0826 | + | 6.06813i | −0.618202 | + | 0.310473i | ||||
\(383\) | 10.8181 | − | 25.0791i | 0.552777 | − | 1.28148i | −0.381313 | − | 0.924446i | \(-0.624528\pi\) |
0.934091 | − | 0.357036i | \(-0.116213\pi\) | |||||||
\(384\) | −18.8771 | + | 0.658279i | −0.963320 | + | 0.0335927i | ||||
\(385\) | −0.0924659 | − | 1.58758i | −0.00471250 | − | 0.0809105i | ||||
\(386\) | −0.0905815 | − | 0.513713i | −0.00461048 | − | 0.0261473i | ||||
\(387\) | −11.9345 | − | 1.96268i | −0.606665 | − | 0.0997686i | ||||
\(388\) | 4.54544 | − | 25.7785i | 0.230760 | − | 1.30870i | ||||
\(389\) | −33.0591 | − | 3.86405i | −1.67616 | − | 0.195915i | −0.775776 | − | 0.631008i | \(-0.782641\pi\) |
−0.900386 | + | 0.435093i | \(0.856716\pi\) | |||||||
\(390\) | 4.76103 | + | 51.0267i | 0.241084 | + | 2.58384i | ||||
\(391\) | −1.95545 | − | 6.53166i | −0.0988913 | − | 0.330320i | ||||
\(392\) | −9.65342 | − | 2.28790i | −0.487571 | − | 0.115557i | ||||
\(393\) | 5.59113 | + | 11.8118i | 0.282035 | + | 0.595829i | ||||
\(394\) | 8.20026 | + | 19.0103i | 0.413123 | + | 0.957728i | ||||
\(395\) | 3.09502 | + | 2.59703i | 0.155728 | + | 0.130671i | ||||
\(396\) | 13.2956 | + | 12.2569i | 0.668130 | + | 0.615935i | ||||
\(397\) | −15.9967 | + | 13.4228i | −0.802852 | + | 0.673673i | −0.948890 | − | 0.315606i | \(-0.897792\pi\) |
0.146038 | + | 0.989279i | \(0.453348\pi\) | |||||||
\(398\) | −28.5380 | − | 14.3323i | −1.43048 | − | 0.718415i | ||||
\(399\) | 2.97078 | − | 2.67464i | 0.148725 | − | 0.133899i | ||||
\(400\) | −2.51352 | + | 0.293788i | −0.125676 | + | 0.0146894i | ||||
\(401\) | 1.64364 | − | 28.2201i | 0.0820793 | − | 1.40925i | −0.666156 | − | 0.745813i | \(-0.732061\pi\) |
0.748235 | − | 0.663434i | \(-0.230902\pi\) | |||||||
\(402\) | −11.7327 | + | 6.41386i | −0.585174 | + | 0.319894i | ||||
\(403\) | −15.5111 | − | 16.4408i | −0.772663 | − | 0.818974i | ||||
\(404\) | −17.8467 | −0.887907 | ||||||||
\(405\) | 8.48384 | − | 15.5103i | 0.421565 | − | 0.770711i | ||||
\(406\) | −5.33963 | −0.265001 | ||||||||
\(407\) | −12.4406 | − | 13.1862i | −0.616656 | − | 0.653617i | ||||
\(408\) | −0.133304 | + | 5.71527i | −0.00659955 | + | 0.282948i | ||||
\(409\) | 1.86981 | − | 32.1033i | 0.0924560 | − | 1.58741i | −0.559291 | − | 0.828971i | \(-0.688927\pi\) |
0.651747 | − | 0.758436i | \(-0.274036\pi\) | |||||||
\(410\) | −9.09758 | + | 1.06335i | −0.449297 | + | 0.0525153i | ||||
\(411\) | −24.1565 | − | 7.85023i | −1.19155 | − | 0.387223i | ||||
\(412\) | −38.7777 | − | 19.4749i | −1.91044 | − | 0.959459i | ||||
\(413\) | −3.49180 | + | 2.92997i | −0.171820 | + | 0.144174i | ||||
\(414\) | −2.46558 | − | 19.1732i | −0.121177 | − | 0.942313i | ||||
\(415\) | −9.84974 | − | 8.26491i | −0.483505 | − | 0.405709i | ||||
\(416\) | 21.2004 | + | 49.1481i | 1.03944 | + | 2.40968i | ||||
\(417\) | −3.57535 | − | 0.292030i | −0.175086 | − | 0.0143008i | ||||
\(418\) | 30.5872 | + | 7.24929i | 1.49607 | + | 0.354574i | ||||
\(419\) | 8.86549 | + | 29.6128i | 0.433107 | + | 1.44668i | 0.844665 | + | 0.535296i | \(0.179800\pi\) |
−0.411557 | + | 0.911384i | \(0.635015\pi\) | |||||||
\(420\) | 2.65409 | − | 1.88132i | 0.129506 | − | 0.0917992i | ||||
\(421\) | 25.5775 | + | 2.98959i | 1.24657 | + | 0.145704i | 0.713676 | − | 0.700476i | \(-0.247029\pi\) |
0.532897 | + | 0.846180i | \(0.321103\pi\) | |||||||
\(422\) | −6.44818 | + | 36.5695i | −0.313893 | + | 1.78017i | ||||
\(423\) | 13.4457 | + | 7.55742i | 0.653755 | + | 0.367455i | ||||
\(424\) | 1.39817 | + | 7.92943i | 0.0679013 | + | 0.385087i | ||||
\(425\) | 0.151728 | + | 2.60506i | 0.00735987 | + | 0.126364i | ||||
\(426\) | 23.4910 | − | 44.1749i | 1.13814 | − | 2.14028i | ||||
\(427\) | −0.302643 | + | 0.701605i | −0.0146459 | + | 0.0339531i | ||||
\(428\) | 27.4669 | − | 13.7944i | 1.32766 | − | 0.666778i | ||||
\(429\) | 9.92514 | − | 25.4093i | 0.479190 | − | 1.22677i | ||||
\(430\) | −16.6494 | + | 3.94598i | −0.802906 | + | 0.190292i | ||||
\(431\) | 11.9375 | + | 20.6764i | 0.575010 | + | 0.995947i | 0.996041 | + | 0.0889004i | \(0.0283353\pi\) |
−0.421030 | + | 0.907047i | \(0.638331\pi\) | |||||||
\(432\) | 2.13399 | − | 11.3208i | 0.102672 | − | 0.544672i | ||||
\(433\) | −20.3355 | + | 35.2222i | −0.977263 | + | 1.69267i | −0.305006 | + | 0.952350i | \(0.598658\pi\) |
−0.672257 | + | 0.740318i | \(0.734675\pi\) | |||||||
\(434\) | −0.719972 | + | 2.40487i | −0.0345598 | + | 0.115438i | ||||
\(435\) | −15.4969 | + | 17.6173i | −0.743018 | + | 0.844685i | ||||
\(436\) | −19.6476 | − | 12.9224i | −0.940948 | − | 0.618872i | ||||
\(437\) | −11.4695 | − | 15.4062i | −0.548661 | − | 0.736980i | ||||
\(438\) | 3.90227 | + | 3.04909i | 0.186458 | + | 0.145691i | ||||
\(439\) | −11.1880 | + | 7.35848i | −0.533975 | + | 0.351201i | −0.787684 | − | 0.616080i | \(-0.788720\pi\) |
0.253708 | + | 0.967281i | \(0.418350\pi\) | |||||||
\(440\) | 6.02042 | + | 2.19125i | 0.287012 | + | 0.104464i | ||||
\(441\) | 9.03872 | − | 18.5275i | 0.430415 | − | 0.882262i | ||||
\(442\) | 32.3590 | − | 11.7777i | 1.53916 | − | 0.560208i | ||||
\(443\) | 14.6699 | − | 19.7051i | 0.696989 | − | 0.936219i | −0.302870 | − | 0.953032i | \(-0.597945\pi\) |
0.999859 | + | 0.0168134i | \(0.00535213\pi\) | |||||||
\(444\) | 9.39173 | − | 35.8770i | 0.445712 | − | 1.70265i | ||||
\(445\) | −0.606794 | + | 0.643164i | −0.0287648 | + | 0.0304889i | ||||
\(446\) | −29.8119 | + | 31.5987i | −1.41163 | + | 1.49624i | ||||
\(447\) | 0.956406 | + | 0.945435i | 0.0452365 | + | 0.0447175i | ||||
\(448\) | 2.60101 | − | 3.49377i | 0.122886 | − | 0.165065i | ||||
\(449\) | 0.852371 | − | 0.310238i | 0.0402259 | − | 0.0146410i | −0.321829 | − | 0.946798i | \(-0.604298\pi\) |
0.362055 | + | 0.932157i | \(0.382075\pi\) | |||||||
\(450\) | −0.774082 | + | 7.35797i | −0.0364906 | + | 0.346858i | ||||
\(451\) | 4.58148 | + | 1.66752i | 0.215733 | + | 0.0785206i | ||||
\(452\) | 11.0420 | − | 7.26244i | 0.519372 | − | 0.341596i | ||||
\(453\) | −1.54398 | + | 10.9821i | −0.0725425 | + | 0.515983i | ||||
\(454\) | 32.1645 | + | 43.2044i | 1.50955 | + | 2.02768i | ||||
\(455\) | −4.10021 | − | 2.69675i | −0.192221 | − | 0.126426i | ||||
\(456\) | 5.15369 | + | 15.2576i | 0.241344 | + | 0.714503i | ||||
\(457\) | 6.02469 | − | 20.1239i | 0.281823 | − | 0.941355i | −0.693478 | − | 0.720478i | \(-0.743923\pi\) |
0.975302 | − | 0.220878i | \(-0.0708922\pi\) | |||||||
\(458\) | −9.43867 | + | 16.3483i | −0.441040 | + | 0.763904i | ||||
\(459\) | −11.5258 | − | 2.87551i | −0.537980 | − | 0.134217i | ||||
\(460\) | −7.81563 | − | 13.5371i | −0.364406 | − | 0.631169i | ||||
\(461\) | −13.5114 | + | 3.20225i | −0.629287 | + | 0.149144i | −0.532870 | − | 0.846197i | \(-0.678887\pi\) |
−0.0964174 | + | 0.995341i | \(0.530738\pi\) | |||||||
\(462\) | −2.99509 | + | 0.456380i | −0.139344 | + | 0.0212327i | ||||
\(463\) | 7.77965 | − | 3.90709i | 0.361551 | − | 0.181578i | −0.258745 | − | 0.965946i | \(-0.583309\pi\) |
0.620296 | + | 0.784368i | \(0.287013\pi\) | |||||||
\(464\) | −6.05583 | + | 14.0390i | −0.281135 | + | 0.651743i | ||||
\(465\) | 5.84498 | + | 9.35495i | 0.271055 | + | 0.433825i | ||||
\(466\) | −0.306188 | − | 5.25704i | −0.0141839 | − | 0.243528i | ||||
\(467\) | 2.17429 | + | 12.3310i | 0.100614 | + | 0.570611i | 0.992882 | + | 0.119104i | \(0.0380023\pi\) |
−0.892268 | + | 0.451507i | \(0.850887\pi\) | |||||||
\(468\) | 54.8418 | − | 10.3239i | 2.53506 | − | 0.477220i | ||||
\(469\) | 0.222348 | − | 1.26100i | 0.0102671 | − | 0.0582274i | ||||
\(470\) | 21.6731 | + | 2.53322i | 0.999704 | + | 0.116849i | ||||
\(471\) | −20.1821 | − | 9.26972i | −0.929943 | − | 0.427126i | ||||
\(472\) | −5.26683 | − | 17.5924i | −0.242426 | − | 0.809758i | ||||
\(473\) | 8.86230 | + | 2.10040i | 0.407489 | + | 0.0965767i | ||||
\(474\) | 4.37849 | − | 6.33055i | 0.201111 | − | 0.290772i | ||||
\(475\) | 2.91158 | + | 6.74980i | 0.133593 | + | 0.309702i | ||||
\(476\) | −1.67455 | − | 1.40512i | −0.0767530 | − | 0.0644034i | ||||
\(477\) | −16.7127 | − | 0.780048i | −0.765223 | − | 0.0357159i | ||||
\(478\) | 22.4243 | − | 18.8162i | 1.02566 | − | 0.860633i | ||||
\(479\) | −9.83724 | − | 4.94045i | −0.449475 | − | 0.225735i | 0.209637 | − | 0.977779i | \(-0.432772\pi\) |
−0.659113 | + | 0.752044i | \(0.729068\pi\) | |||||||
\(480\) | −5.42979 | − | 25.5513i | −0.247835 | − | 1.16625i | ||||
\(481\) | −55.5664 | + | 6.49478i | −2.53361 | + | 0.296136i | ||||
\(482\) | −2.44586 | + | 41.9938i | −0.111406 | + | 1.91277i | ||||
\(483\) | 1.58113 | + | 0.962708i | 0.0719439 | + | 0.0438047i | ||||
\(484\) | 10.7967 | + | 11.4438i | 0.490757 | + | 0.520172i | ||||
\(485\) | 19.2707 | 0.875039 | ||||||||
\(486\) | −30.9227 | − | 13.3477i | −1.40268 | − | 0.605466i | ||||
\(487\) | −27.2402 | −1.23437 | −0.617186 | − | 0.786817i | \(-0.711727\pi\) | ||||
−0.617186 | + | 0.786817i | \(0.711727\pi\) | |||||||
\(488\) | −2.11249 | − | 2.23911i | −0.0956280 | − | 0.101360i | ||||
\(489\) | 3.13384 | + | 1.90811i | 0.141717 | + | 0.0862878i | ||||
\(490\) | 1.69573 | − | 29.1145i | 0.0766051 | − | 1.31526i | ||||
\(491\) | 38.3379 | − | 4.48106i | 1.73017 | − | 0.202228i | 0.808044 | − | 0.589123i | \(-0.200527\pi\) |
0.922124 | + | 0.386895i | \(0.126452\pi\) | |||||||
\(492\) | 2.07322 | + | 9.75606i | 0.0934678 | + | 0.439837i | ||||
\(493\) | 14.0888 | + | 7.07568i | 0.634529 | + | 0.318673i | ||||
\(494\) | 74.3114 | − | 62.3547i | 3.34343 | − | 2.80547i | ||||
\(495\) | −7.18670 | + | 11.2064i | −0.323018 | + | 0.503688i | ||||
\(496\) | 5.50636 | + | 4.62039i | 0.247243 | + | 0.207462i | ||||
\(497\) | 1.89767 | + | 4.39929i | 0.0851220 | + | 0.197335i | ||||
\(498\) | −13.9343 | + | 20.1466i | −0.624411 | + | 0.902791i | ||||
\(499\) | −41.6896 | − | 9.88063i | −1.86628 | − | 0.442318i | −0.867778 | − | 0.496952i | \(-0.834453\pi\) |
−0.998506 | + | 0.0546339i | \(0.982601\pi\) | |||||||
\(500\) | 9.23183 | + | 30.8365i | 0.412860 | + | 1.37905i | ||||
\(501\) | 12.7675 | + | 5.86414i | 0.570408 | + | 0.261990i | ||||
\(502\) | 17.8819 | + | 2.09010i | 0.798110 | + | 0.0932857i | ||||
\(503\) | −3.71242 | + | 21.0542i | −0.165529 | + | 0.938759i | 0.782989 | + | 0.622035i | \(0.213694\pi\) |
−0.948518 | + | 0.316724i | \(0.897417\pi\) | |||||||
\(504\) | −1.01136 | − | 1.17743i | −0.0450495 | − | 0.0524469i | ||||
\(505\) | −2.28150 | − | 12.9390i | −0.101525 | − | 0.575779i | ||||
\(506\) | 0.846414 | + | 14.5324i | 0.0376277 | + | 0.646042i | ||||
\(507\) | −32.6755 | − | 52.2974i | −1.45117 | − | 2.32261i | ||||
\(508\) | −2.30377 | + | 5.34075i | −0.102213 | + | 0.236957i | ||||
\(509\) | −35.9999 | + | 18.0798i | −1.59567 | + | 0.801374i | −0.999998 | − | 0.00185705i | \(-0.999409\pi\) |
−0.595668 | + | 0.803231i | \(0.703113\pi\) | |||||||
\(510\) | −16.6137 | + | 2.53153i | −0.735668 | + | 0.112098i | ||||
\(511\) | −0.461445 | + | 0.109365i | −0.0204131 | + | 0.00483800i | ||||
\(512\) | −11.7118 | − | 20.2854i | −0.517594 | − | 0.896499i | ||||
\(513\) | −33.2811 | + | 3.49304i | −1.46940 | + | 0.154222i | ||||
\(514\) | 15.0722 | − | 26.1058i | 0.664807 | − | 1.15148i | ||||
\(515\) | 9.16218 | − | 30.6038i | 0.403734 | − | 1.34857i | ||||
\(516\) | 5.96253 | + | 17.6522i | 0.262486 | + | 0.777094i | ||||
\(517\) | −9.70409 | − | 6.38248i | −0.426785 | − | 0.280701i | ||||
\(518\) | 3.71035 | + | 4.98386i | 0.163023 | + | 0.218978i | ||||
\(519\) | −2.65377 | + | 18.8759i | −0.116488 | + | 0.828559i | ||||
\(520\) | 16.5187 | − | 10.8645i | 0.724393 | − | 0.476441i | ||||
\(521\) | 17.8529 | + | 6.49793i | 0.782150 | + | 0.284679i | 0.702069 | − | 0.712109i | \(-0.252260\pi\) |
0.0800812 | + | 0.996788i | \(0.474482\pi\) | |||||||
\(522\) | 36.1607 | + | 26.2777i | 1.58271 | + | 1.15014i | ||||
\(523\) | 33.2266 | − | 12.0935i | 1.45290 | − | 0.528811i | 0.509499 | − | 0.860471i | \(-0.329831\pi\) |
0.943399 | + | 0.331660i | \(0.107609\pi\) | |||||||
\(524\) | 12.0218 | − | 16.1481i | 0.525174 | − | 0.705431i | ||||
\(525\) | −0.503860 | − | 0.498080i | −0.0219903 | − | 0.0217380i | ||||
\(526\) | −1.76936 | + | 1.87541i | −0.0771478 | + | 0.0817719i | ||||
\(527\) | 5.08643 | − | 5.39131i | 0.221569 | − | 0.234849i | ||||
\(528\) | −2.19690 | + | 8.39230i | −0.0956078 | + | 0.365228i | ||||
\(529\) | −8.42323 | + | 11.3144i | −0.366227 | + | 0.491929i | ||||
\(530\) | −22.2419 | + | 8.09541i | −0.966128 | + | 0.351642i | ||||
\(531\) | 38.0661 | − | 2.65810i | 1.65193 | − | 0.115352i | ||||
\(532\) | −5.78660 | − | 2.10615i | −0.250881 | − | 0.0913132i | ||||
\(533\) | 12.5706 | − | 8.26780i | 0.544492 | − | 0.358118i | ||||
\(534\) | 1.32740 | + | 1.03719i | 0.0574423 | + | 0.0448834i | ||||
\(535\) | 13.5124 | + | 18.1503i | 0.584192 | + | 0.784706i | ||||
\(536\) | 4.30995 | + | 2.83470i | 0.186162 | + | 0.122440i | ||||
\(537\) | −4.49672 | + | 5.11201i | −0.194048 | + | 0.220599i | ||||
\(538\) | 2.68626 | − | 8.97273i | 0.115813 | − | 0.386842i | ||||
\(539\) | −7.76180 | + | 13.4438i | −0.334324 | + | 0.579067i | ||||
\(540\) | −27.2324 | − | 0.320878i | −1.17189 | − | 0.0138084i | ||||
\(541\) | 10.4636 | + | 18.1235i | 0.449866 | + | 0.779190i | 0.998377 | − | 0.0569530i | \(-0.0181385\pi\) |
−0.548511 | + | 0.836143i | \(0.684805\pi\) | |||||||
\(542\) | −14.6756 | + | 3.47818i | −0.630370 | + | 0.149400i | ||||
\(543\) | 1.71358 | − | 4.38693i | 0.0735368 | − | 0.188261i | ||||
\(544\) | −15.6853 | + | 7.87743i | −0.672500 | + | 0.337742i | ||||
\(545\) | 6.85715 | − | 15.8967i | 0.293728 | − | 0.680938i | ||||
\(546\) | −4.38974 | + | 8.25492i | −0.187863 | + | 0.353278i | ||||
\(547\) | −0.782571 | − | 13.4362i | −0.0334603 | − | 0.574492i | −0.972821 | − | 0.231560i | \(-0.925617\pi\) |
0.939360 | − | 0.342932i | \(-0.111420\pi\) | |||||||
\(548\) | 6.79462 | + | 38.5342i | 0.290252 | + | 1.64610i | ||||
\(549\) | 5.50233 | − | 3.26199i | 0.234834 | − | 0.139218i | ||||
\(550\) | 0.967460 | − | 5.48674i | 0.0412526 | − | 0.233955i | ||||
\(551\) | 44.1126 | + | 5.15602i | 1.87926 | + | 0.219654i | ||||
\(552\) | −6.08432 | + | 4.31281i | −0.258966 | + | 0.183565i | ||||
\(553\) | 0.211399 | + | 0.706122i | 0.00898960 | + | 0.0300274i | ||||
\(554\) | −26.5022 | − | 6.28114i | −1.12597 | − | 0.266860i | ||||
\(555\) | 27.2118 | + | 2.22262i | 1.15508 | + | 0.0943449i | ||||
\(556\) | 2.18880 | + | 5.07420i | 0.0928257 | + | 0.215194i | ||||
\(557\) | −21.5033 | − | 18.0434i | −0.911123 | − | 0.764523i | 0.0612095 | − | 0.998125i | \(-0.480504\pi\) |
−0.972332 | + | 0.233602i | \(0.924949\pi\) | |||||||
\(558\) | 16.7108 | − | 12.7430i | 0.707423 | − | 0.539453i | ||||
\(559\) | 21.5309 | − | 18.0666i | 0.910662 | − | 0.764136i | ||||
\(560\) | 1.39467 | + | 0.700428i | 0.0589355 | + | 0.0295985i | ||||
\(561\) | 8.50743 | + | 2.76469i | 0.359184 | + | 0.116725i | ||||
\(562\) | −50.1991 | + | 5.86744i | −2.11752 | + | 0.247503i | ||||
\(563\) | 0.956505 | − | 16.4226i | 0.0403119 | − | 0.692129i | −0.916251 | − | 0.400604i | \(-0.868800\pi\) |
0.956563 | − | 0.291525i | \(-0.0941626\pi\) | |||||||
\(564\) | 0.554051 | − | 23.7543i | 0.0233297 | − | 1.00024i | ||||
\(565\) | 6.67693 | + | 7.07713i | 0.280901 | + | 0.297737i | ||||
\(566\) | −6.30114 | −0.264857 | ||||||||
\(567\) | 2.84803 | − | 1.51361i | 0.119606 | − | 0.0635656i | ||||
\(568\) | −19.3022 | −0.809904 | ||||||||
\(569\) | −6.60284 | − | 6.99860i | −0.276805 | − | 0.293396i | 0.574024 | − | 0.818838i | \(-0.305382\pi\) |
−0.850830 | + | 0.525442i | \(0.823900\pi\) | |||||||
\(570\) | −41.5399 | + | 22.7084i | −1.73992 | + | 0.951150i | ||||
\(571\) | 1.09706 | − | 18.8358i | 0.0459106 | − | 0.788255i | −0.894259 | − | 0.447549i | \(-0.852297\pi\) |
0.940170 | − | 0.340706i | \(-0.110666\pi\) | |||||||
\(572\) | −41.7389 | + | 4.87858i | −1.74519 | + | 0.203984i | ||||
\(573\) | −8.05528 | + | 7.25230i | −0.336514 | + | 0.302969i | ||||
\(574\) | −1.49328 | − | 0.749952i | −0.0623282 | − | 0.0313024i | ||||
\(575\) | −2.60775 | + | 2.18816i | −0.108751 | + | 0.0912526i | ||||
\(576\) | −34.8082 | + | 10.8600i | −1.45034 | + | 0.452501i | ||||
\(577\) | −17.7001 | − | 14.8521i | −0.736864 | − | 0.618302i | 0.195129 | − | 0.980778i | \(-0.437487\pi\) |
−0.931993 | + | 0.362475i | \(0.881932\pi\) | |||||||
\(578\) | −10.0755 | − | 23.3576i | −0.419085 | − | 0.971549i | ||||
\(579\) | −0.178910 | − | 0.377966i | −0.00743526 | − | 0.0157077i | ||||
\(580\) | 35.1707 | + | 8.33560i | 1.46038 | + | 0.346117i | ||||
\(581\) | −0.672766 | − | 2.24719i | −0.0279110 | − | 0.0932293i | ||||
\(582\) | −3.41069 | − | 36.5544i | −0.141378 | − | 1.51523i | ||||
\(583\) | 12.5138 | + | 1.46265i | 0.518267 | + | 0.0605767i | ||||
\(584\) | 0.331763 | − | 1.88152i | 0.0137284 | − | 0.0778579i | ||||
\(585\) | 14.4958 | + | 38.4410i | 0.599327 | + | 1.58934i | ||||
\(586\) | −5.84071 | − | 33.1243i | −0.241277 | − | 1.36835i | ||||
\(587\) | −0.809863 | − | 13.9048i | −0.0334266 | − | 0.573913i | −0.972891 | − | 0.231266i | \(-0.925713\pi\) |
0.939464 | − | 0.342648i | \(-0.111324\pi\) | |||||||
\(588\) | −31.7376 | + | 1.10675i | −1.30884 | + | 0.0456414i | ||||
\(589\) | 8.27012 | − | 19.1723i | 0.340764 | − | 0.789980i | ||||
\(590\) | 48.2415 | − | 24.2278i | 1.98607 | − | 0.997442i | ||||
\(591\) | 10.3690 | + | 12.9594i | 0.426524 | + | 0.533077i | ||||
\(592\) | 17.3116 | − | 4.10292i | 0.711502 | − | 0.168629i | ||||
\(593\) | −1.04543 | − | 1.81074i | −0.0429308 | − | 0.0743583i | 0.843762 | − | 0.536718i | \(-0.180336\pi\) |
−0.886692 | + | 0.462360i | \(0.847003\pi\) | |||||||
\(594\) | 22.5291 | + | 11.6490i | 0.924382 | + | 0.477962i | ||||
\(595\) | 0.804650 | − | 1.39369i | 0.0329874 | − | 0.0571359i | ||||
\(596\) | 0.594170 | − | 1.98467i | 0.0243382 | − | 0.0812951i | ||||
\(597\) | −25.1012 | − | 5.03217i | −1.02732 | − | 0.205953i | ||||
\(598\) | 37.5325 | + | 24.6855i | 1.53482 | + | 1.00946i | ||||
\(599\) | 4.97159 | + | 6.67801i | 0.203134 | + | 0.272856i | 0.892003 | − | 0.452030i | \(-0.149300\pi\) |
−0.688869 | + | 0.724886i | \(0.741893\pi\) | |||||||
\(600\) | 2.64654 | − | 1.06912i | 0.108045 | − | 0.0436467i | ||||
\(601\) | −34.8490 | + | 22.9205i | −1.42152 | + | 0.934948i | −0.421920 | + | 0.906633i | \(0.638644\pi\) |
−0.999599 | + | 0.0283144i | \(0.990986\pi\) | |||||||
\(602\) | −2.93333 | − | 1.06764i | −0.119554 | − | 0.0435140i | ||||
\(603\) | −7.71146 | + | 7.44542i | −0.314035 | + | 0.303201i | ||||
\(604\) | 16.0539 | − | 5.84315i | 0.653225 | − | 0.237754i | ||||
\(605\) | −6.91662 | + | 9.29063i | −0.281200 | + | 0.377718i | ||||
\(606\) | −24.1400 | + | 6.61780i | −0.980622 | + | 0.268830i | ||||
\(607\) | 1.67796 | − | 1.77853i | 0.0681063 | − | 0.0721884i | −0.692424 | − | 0.721490i | \(-0.743457\pi\) |
0.760531 | + | 0.649302i | \(0.224939\pi\) | |||||||
\(608\) | −33.9314 | + | 35.9652i | −1.37610 | + | 1.45858i | ||||
\(609\) | −4.12820 | + | 1.13171i | −0.167283 | + | 0.0458593i | ||||
\(610\) | 5.40386 | − | 7.25864i | 0.218796 | − | 0.293894i | ||||
\(611\) | −33.6818 | + | 12.2592i | −1.36262 | + | 0.495953i | ||||
\(612\) | 4.42536 | + | 17.7566i | 0.178885 | + | 0.717767i | ||||
\(613\) | 5.25720 | + | 1.91346i | 0.212336 | + | 0.0772840i | 0.445998 | − | 0.895034i | \(-0.352849\pi\) |
−0.233662 | + | 0.972318i | \(0.575071\pi\) | |||||||
\(614\) | 8.30872 | − | 5.46473i | 0.335313 | − | 0.220539i | ||||
\(615\) | −6.80820 | + | 2.75030i | −0.274533 | + | 0.110903i | ||||
\(616\) | 0.697974 | + | 0.937542i | 0.0281222 | + | 0.0377747i | ||||
\(617\) | 26.0931 | + | 17.1617i | 1.05047 | + | 0.690904i | 0.952578 | − | 0.304293i | \(-0.0984203\pi\) |
0.0978899 | + | 0.995197i | \(0.468791\pi\) | |||||||
\(618\) | −59.6735 | − | 11.9631i | −2.40042 | − | 0.481226i | ||||
\(619\) | 1.24631 | − | 4.16296i | 0.0500934 | − | 0.167324i | −0.929283 | − | 0.369369i | \(-0.879574\pi\) |
0.979376 | + | 0.202046i | \(0.0647589\pi\) | |||||||
\(620\) | 8.49646 | − | 14.7163i | 0.341226 | − | 0.591021i | ||||
\(621\) | −5.96989 | − | 14.3007i | −0.239564 | − | 0.573869i | ||||
\(622\) | 20.9201 | + | 36.2346i | 0.838818 | + | 1.45288i | ||||
\(623\) | −0.156966 | + | 0.0372016i | −0.00628871 | + | 0.00149045i | ||||
\(624\) | 16.7253 | + | 20.9037i | 0.669550 | + | 0.836816i | ||||
\(625\) | −16.0764 | + | 8.07387i | −0.643056 | + | 0.322955i | ||||
\(626\) | −18.4633 | + | 42.8026i | −0.737940 | + | 1.71074i | ||||
\(627\) | 25.1842 | − | 0.878216i | 1.00576 | − | 0.0350726i | ||||
\(628\) | 1.98931 | + | 34.1552i | 0.0793822 | + | 1.36294i | ||||
\(629\) | −3.18566 | − | 18.0668i | −0.127021 | − | 0.720370i | ||||
\(630\) | 2.89239 | − | 3.52891i | 0.115236 | − | 0.140595i | ||||
\(631\) | 3.24004 | − | 18.3752i | 0.128984 | − | 0.731504i | −0.849878 | − | 0.526980i | \(-0.823324\pi\) |
0.978862 | − | 0.204524i | \(-0.0655646\pi\) | |||||||
\(632\) | −2.94946 | − | 0.344742i | −0.117323 | − | 0.0137131i | ||||
\(633\) | 2.76550 | + | 29.6394i | 0.109919 | + | 1.17806i | ||||
\(634\) | −18.8220 | − | 62.8698i | −0.747516 | − | 2.49688i | ||||
\(635\) | −4.16660 | − | 0.987503i | −0.165347 | − | 0.0391879i | ||||
\(636\) | 11.0271 | + | 23.2959i | 0.437253 | + | 0.923741i | ||||
\(637\) | 18.9745 | + | 43.9878i | 0.751797 | + | 1.74286i | ||||
\(638\) | −25.7857 | − | 21.6368i | −1.02087 | − | 0.856609i | ||||
\(639\) | 8.79878 | − | 39.1315i | 0.348074 | − | 1.54802i | ||||
\(640\) | −16.4099 | + | 13.7696i | −0.648659 | + | 0.544289i | ||||
\(641\) | 5.63231 | + | 2.82865i | 0.222463 | + | 0.111725i | 0.556540 | − | 0.830820i | \(-0.312128\pi\) |
−0.334077 | + | 0.942546i | \(0.608425\pi\) | |||||||
\(642\) | 32.0375 | − | 28.8439i | 1.26442 | − | 1.13838i | ||||
\(643\) | 24.8414 | − | 2.90354i | 0.979647 | − | 0.114504i | 0.388830 | − | 0.921310i | \(-0.372879\pi\) |
0.590817 | + | 0.806805i | \(0.298805\pi\) | |||||||
\(644\) | 0.165811 | − | 2.84687i | 0.00653388 | − | 0.112182i | ||||
\(645\) | −12.0358 | + | 6.57952i | −0.473907 | + | 0.259068i | ||||
\(646\) | 21.8298 | + | 23.1382i | 0.858882 | + | 0.910362i | ||||
\(647\) | 21.9189 | 0.861721 | 0.430860 | − | 0.902419i | \(-0.358210\pi\) | ||||
0.430860 | + | 0.902419i | \(0.358210\pi\) | |||||||
\(648\) | 1.05462 | + | 12.9509i | 0.0414293 | + | 0.508759i | ||||
\(649\) | −28.7349 | −1.12794 | ||||||||
\(650\) | −11.7987 | − | 12.5059i | −0.462784 | − | 0.490522i | ||||
\(651\) | −0.0469252 | + | 2.01186i | −0.00183914 | + | 0.0788512i | ||||
\(652\) | 0.328642 | − | 5.64257i | 0.0128706 | − | 0.220980i | ||||
\(653\) | −38.9285 | + | 4.55009i | −1.52339 | + | 0.178059i | −0.836203 | − | 0.548420i | \(-0.815229\pi\) |
−0.687189 | + | 0.726479i | \(0.741155\pi\) | |||||||
\(654\) | −31.3678 | − | 10.1937i | −1.22658 | − | 0.398605i | ||||
\(655\) | 13.2443 | + | 6.65156i | 0.517499 | + | 0.259898i | ||||
\(656\) | −3.66535 | + | 3.07559i | −0.143108 | + | 0.120082i | ||||
\(657\) | 3.66319 | + | 1.53026i | 0.142915 | + | 0.0597012i | ||||
\(658\) | 3.04951 | + | 2.55884i | 0.118882 | + | 0.0997540i | ||||
\(659\) | 2.31450 | + | 5.36562i | 0.0901602 | + | 0.209015i | 0.957330 | − | 0.288999i | \(-0.0933223\pi\) |
−0.867169 | + | 0.498013i | \(0.834063\pi\) | |||||||
\(660\) | 20.4403 | + | 1.66953i | 0.795636 | + | 0.0649864i | ||||
\(661\) | 32.5427 | + | 7.71277i | 1.26577 | + | 0.299992i | 0.808054 | − | 0.589109i | \(-0.200521\pi\) |
0.457712 | + | 0.889101i | \(0.348669\pi\) | |||||||
\(662\) | −0.697671 | − | 2.33038i | −0.0271157 | − | 0.0905729i | ||||
\(663\) | 22.5213 | − | 15.9640i | 0.874655 | − | 0.619990i | ||||
\(664\) | 9.38649 | + | 1.09712i | 0.364267 | + | 0.0425767i | ||||
\(665\) | 0.787227 | − | 4.46459i | 0.0305274 | − | 0.173129i | ||||
\(666\) | −0.600109 | − | 52.0110i | −0.0232537 | − | 2.01538i | ||||
\(667\) | 3.57145 | + | 20.2547i | 0.138287 | + | 0.784265i | ||||
\(668\) | −1.25846 | − | 21.6070i | −0.0486914 | − | 0.836000i | ||||
\(669\) | −16.3511 | + | 30.7483i | −0.632169 | + | 1.18880i | ||||
\(670\) | −6.00636 | + | 13.9243i | −0.232046 | + | 0.537943i | ||||
\(671\) | −4.30448 | + | 2.16179i | −0.166173 | + | 0.0834551i | ||||
\(672\) | 1.73389 | − | 4.43893i | 0.0668863 | − | 0.171235i | ||||
\(673\) | 18.6452 | − | 4.41899i | 0.718720 | − | 0.170340i | 0.145048 | − | 0.989425i | \(-0.453666\pi\) |
0.573672 | + | 0.819085i | \(0.305518\pi\) | |||||||
\(674\) | −4.90908 | − | 8.50278i | −0.189091 | − | 0.327515i | ||||
\(675\) | 0.961029 | + | 5.85270i | 0.0369900 | + | 0.225270i | ||||
\(676\) | −47.4981 | + | 82.2692i | −1.82685 | + | 3.16420i | ||||
\(677\) | −9.51099 | + | 31.7689i | −0.365537 | + | 1.22098i | 0.555504 | + | 0.831514i | \(0.312525\pi\) |
−0.921041 | + | 0.389465i | \(0.872660\pi\) | |||||||
\(678\) | 12.2428 | − | 13.9179i | 0.470181 | − | 0.534515i | ||||
\(679\) | 2.93729 | + | 1.93189i | 0.112723 | + | 0.0741391i | ||||
\(680\) | 3.87166 | + | 5.20054i | 0.148471 | + | 0.199431i | ||||
\(681\) | 34.0242 | + | 26.5853i | 1.30381 | + | 1.01875i | ||||
\(682\) | −13.2216 | + | 8.69602i | −0.506283 | + | 0.332988i | ||||
\(683\) | −2.18490 | − | 0.795237i | −0.0836028 | − | 0.0304289i | 0.299880 | − | 0.953977i | \(-0.403053\pi\) |
−0.383483 | + | 0.923548i | \(0.625276\pi\) | |||||||
\(684\) | 28.8228 | + | 42.7405i | 1.10207 | + | 1.63423i | ||||
\(685\) | −27.0690 | + | 9.85232i | −1.03425 | + | 0.376438i | ||||
\(686\) | 6.41376 | − | 8.61518i | 0.244879 | − | 0.328929i | ||||
\(687\) | −3.83233 | + | 14.6397i | −0.146212 | + | 0.558541i | ||||
\(688\) | −6.13383 | + | 6.50148i | −0.233850 | + | 0.247867i | ||||
\(689\) | 26.6813 | − | 28.2805i | 1.01648 | − | 1.07740i | ||||
\(690\) | −15.5914 | − | 15.4125i | −0.593555 | − | 0.586746i | ||||
\(691\) | −6.59734 | + | 8.86176i | −0.250975 | + | 0.337117i | −0.909700 | − | 0.415266i | \(-0.863688\pi\) |
0.658725 | + | 0.752383i | \(0.271096\pi\) | |||||||
\(692\) | 27.5933 | − | 10.0431i | 1.04894 | − | 0.381782i | ||||
\(693\) | −2.21885 | + | 0.987636i | −0.0842872 | + | 0.0375172i | ||||
\(694\) | −40.2749 | − | 14.6589i | −1.52881 | − | 0.556443i | ||||
\(695\) | −3.39903 | + | 2.23558i | −0.128933 | + | 0.0848003i | ||||
\(696\) | 2.40089 | − | 17.0772i | 0.0910057 | − | 0.647309i | ||||
\(697\) | 2.94629 | + | 3.95756i | 0.111599 | + | 0.149903i | ||||
\(698\) | −21.2255 | − | 13.9602i | −0.803397 | − | 0.528403i | ||||
\(699\) | −1.35093 | − | 3.99946i | −0.0510969 | − | 0.151273i | ||||
\(700\) | −0.313024 | + | 1.04557i | −0.0118312 | + | 0.0395190i | ||||
\(701\) | −19.8781 | + | 34.4299i | −0.750785 | + | 1.30040i | 0.196657 | + | 0.980472i | \(0.436991\pi\) |
−0.947443 | + | 0.319926i | \(0.896342\pi\) | |||||||
\(702\) | 70.3525 | − | 34.3004i | 2.65529 | − | 1.29459i | ||||
\(703\) | −25.8400 | − | 44.7562i | −0.974573 | − | 1.68801i | ||||
\(704\) | 26.7178 | − | 6.33222i | 1.00696 | − | 0.238655i | ||||
\(705\) | 17.2929 | − | 2.63502i | 0.651288 | − | 0.0992408i | ||||
\(706\) | 45.2128 | − | 22.7067i | 1.70161 | − | 0.854579i | ||||
\(707\) | 0.949384 | − | 2.20092i | 0.0357053 | − | 0.0827741i | ||||
\(708\) | −31.1480 | − | 49.8527i | −1.17061 | − | 1.87358i | ||||
\(709\) | −0.971017 | − | 16.6717i | −0.0364673 | − | 0.626120i | −0.966186 | − | 0.257848i | \(-0.916987\pi\) |
0.929718 | − | 0.368272i | \(-0.120050\pi\) | |||||||
\(710\) | −9.85313 | − | 55.8799i | −0.369781 | − | 2.09713i | ||||
\(711\) | 2.04339 | − | 5.82231i | 0.0766330 | − | 0.218354i | ||||
\(712\) | 0.112853 | − | 0.640021i | 0.00422935 | − | 0.0239858i | ||||
\(713\) | 9.60391 | + | 1.12254i | 0.359669 | + | 0.0420393i | ||||
\(714\) | −2.78609 | − | 1.27966i | −0.104267 | − | 0.0478901i | ||||
\(715\) | −8.87287 | − | 29.6374i | −0.331826 | − | 1.10838i | ||||
\(716\) | 10.2055 | + | 2.41874i | 0.381396 | + | 0.0903925i | ||||
\(717\) | 13.3488 | − | 19.3000i | 0.498518 | − | 0.720772i | ||||
\(718\) | −18.0441 | − | 41.8309i | −0.673399 | − | 1.56111i | ||||
\(719\) | −7.62855 | − | 6.40112i | −0.284497 | − | 0.238721i | 0.489360 | − | 0.872082i | \(-0.337231\pi\) |
−0.773857 | + | 0.633361i | \(0.781675\pi\) | |||||||
\(720\) | −5.99790 | − | 11.6069i | −0.223528 | − | 0.432565i | ||||
\(721\) | 4.46455 | − | 3.74620i | 0.166269 | − | 0.139516i | ||||
\(722\) | 43.3951 | + | 21.7938i | 1.61500 | + | 0.811083i | ||||
\(723\) | 7.00947 | + | 32.9849i | 0.260685 | + | 1.22672i | ||||
\(724\) | −7.20625 | + | 0.842289i | −0.267818 | + | 0.0313034i | ||||
\(725\) | 0.457695 | − | 7.85832i | 0.0169984 | − | 0.291851i | ||||
\(726\) | 18.8474 | + | 11.4757i | 0.699493 | + | 0.425903i | ||||
\(727\) | −8.34296 | − | 8.84302i | −0.309423 | − | 0.327970i | 0.553936 | − | 0.832559i | \(-0.313125\pi\) |
−0.863359 | + | 0.504590i | \(0.831644\pi\) | |||||||
\(728\) | 3.60699 | 0.133684 | ||||||||
\(729\) | −26.7361 | − | 3.76553i | −0.990227 | − | 0.139464i | ||||
\(730\) | 5.61635 | 0.207870 | ||||||||
\(731\) | 6.32495 | + | 6.70406i | 0.233937 | + | 0.247958i | ||||
\(732\) | −8.41651 | − | 5.12459i | −0.311083 | − | 0.189410i | ||||
\(733\) | 0.939332 | − | 16.1277i | 0.0346950 | − | 0.595690i | −0.935494 | − | 0.353342i | \(-0.885045\pi\) |
0.970189 | − | 0.242349i | \(-0.0779177\pi\) | |||||||
\(734\) | 36.3261 | − | 4.24591i | 1.34082 | − | 0.156719i | ||||
\(735\) | −4.85969 | − | 22.8686i | −0.179252 | − | 0.843520i | ||||
\(736\) | −20.4621 | − | 10.2764i | −0.754242 | − | 0.378795i | ||||
\(737\) | 6.18344 | − | 5.18852i | 0.227770 | − | 0.191122i | ||||
\(738\) | 6.42198 | + | 12.4276i | 0.236396 | + | 0.457466i | ||||
\(739\) | 32.3004 | + | 27.1033i | 1.18819 | + | 0.997010i | 0.999889 | + | 0.0148986i | \(0.00474256\pi\) |
0.188301 | + | 0.982111i | \(0.439702\pi\) | |||||||
\(740\) | −16.6588 | − | 38.6194i | −0.612390 | − | 1.41968i | ||||
\(741\) | 44.2362 | − | 63.9580i | 1.62506 | − | 2.34956i | ||||
\(742\) | −4.20174 | − | 0.995830i | −0.154251 | − | 0.0365581i | ||||
\(743\) | −5.73454 | − | 19.1547i | −0.210380 | − | 0.702718i | −0.996420 | − | 0.0845422i | \(-0.973057\pi\) |
0.786040 | − | 0.618176i | \(-0.212128\pi\) | |||||||
\(744\) | −7.36753 | − | 3.38393i | −0.270107 | − | 0.124061i | ||||
\(745\) | 1.51486 | + | 0.177062i | 0.0555001 | + | 0.00648704i | ||||
\(746\) | 6.53362 | − | 37.0540i | 0.239213 | − | 1.35664i | ||||
\(747\) | −6.50297 | + | 18.5292i | −0.237931 | + | 0.677947i | ||||
\(748\) | −2.39293 | − | 13.5710i | −0.0874940 | − | 0.496203i | ||||
\(749\) | 0.240029 | + | 4.12113i | 0.00877046 | + | 0.150583i | ||||
\(750\) | 23.9218 | + | 38.2871i | 0.873502 | + | 1.39805i | ||||
\(751\) | 21.2045 | − | 49.1575i | 0.773762 | − | 1.79378i | 0.190142 | − | 0.981757i | \(-0.439105\pi\) |
0.583621 | − | 0.812026i | \(-0.301636\pi\) | |||||||
\(752\) | 10.1863 | − | 5.11573i | 0.371454 | − | 0.186551i | ||||
\(753\) | 14.2680 | − | 2.17410i | 0.519954 | − | 0.0792285i | ||||
\(754\) | −101.077 | + | 23.9557i | −3.68102 | + | 0.872417i | ||||
\(755\) | 6.28865 | + | 10.8923i | 0.228867 | + | 0.396410i | ||||
\(756\) | −4.11866 | − | 2.77895i | −0.149794 | − | 0.101069i | ||||
\(757\) | 9.99556 | − | 17.3128i | 0.363295 | − | 0.629245i | −0.625206 | − | 0.780460i | \(-0.714985\pi\) |
0.988501 | + | 0.151215i | \(0.0483185\pi\) | |||||||
\(758\) | −4.48621 | + | 14.9850i | −0.162946 | + | 0.544279i | ||||
\(759\) | 3.73446 | + | 11.0559i | 0.135552 | + | 0.401305i | ||||
\(760\) | 15.2595 | + | 10.0363i | 0.553520 | + | 0.364056i | ||||
\(761\) | −5.13418 | − | 6.89641i | −0.186114 | − | 0.249994i | 0.699267 | − | 0.714861i | \(-0.253510\pi\) |
−0.885381 | + | 0.464866i | \(0.846102\pi\) | |||||||
\(762\) | −1.13574 | + | 8.07834i | −0.0411435 | + | 0.292647i | ||||
\(763\) | 2.63882 | − | 1.73558i | 0.0955318 | − | 0.0628322i | ||||
\(764\) | 15.6904 | + | 5.71084i | 0.567659 | + | 0.206611i | ||||
\(765\) | −12.3079 | + | 5.47841i | −0.444995 | + | 0.198072i | ||||
\(766\) | −55.4534 | + | 20.1834i | −2.00361 | + | 0.729256i | ||||
\(767\) | −52.9535 | + | 71.1288i | −1.91204 | + | 2.56831i | ||||
\(768\) | −0.919548 | − | 0.909000i | −0.0331813 | − | 0.0328007i | ||||
\(769\) | −14.4772 | + | 15.3449i | −0.522061 | + | 0.553353i | −0.933729 | − | 0.357982i | \(-0.883465\pi\) |
0.411667 | + | 0.911334i | \(0.364947\pi\) | |||||||
\(770\) | −2.35789 | + | 2.49922i | −0.0849724 | + | 0.0900655i | ||||
\(771\) | 6.11968 | − | 23.3776i | 0.220395 | − | 0.841923i | ||||
\(772\) | −0.384684 | + | 0.516721i | −0.0138451 | + | 0.0185972i | ||||
\(773\) | −6.05370 | + | 2.20337i | −0.217736 | + | 0.0792495i | −0.448585 | − | 0.893740i | \(-0.648072\pi\) |
0.230849 | + | 0.972990i | \(0.425850\pi\) | |||||||
\(774\) | 14.6108 | + | 21.6659i | 0.525173 | + | 0.778766i | ||||
\(775\) | −3.47753 | − | 1.26572i | −0.124917 | − | 0.0454660i | ||||
\(776\) | −11.8336 | + | 7.78309i | −0.424802 | + | 0.279397i | ||||
\(777\) | 3.92487 | + | 3.06675i | 0.140804 | + | 0.110019i | ||||
\(778\) | 42.9440 | + | 57.6838i | 1.53962 | + | 2.06806i | ||||
\(779\) | 11.6123 | + | 7.63755i | 0.416055 | + | 0.273643i | ||||
\(780\) | 41.8006 | − | 47.5201i | 1.49670 | − | 1.70149i | ||||
\(781\) | −8.66235 | + | 28.9343i | −0.309963 | + | 1.03535i | ||||
\(782\) | −7.36560 | + | 12.7576i | −0.263393 | + | 0.456210i | ||||
\(783\) | 33.5262 | + | 12.6519i | 1.19813 | + | 0.452140i | ||||
\(784\) | −7.61734 | − | 13.1936i | −0.272048 | − | 0.471201i | ||||
\(785\) | −24.5085 | + | 5.80862i | −0.874746 | + | 0.207319i | ||||
\(786\) | 10.2731 | − | 26.3002i | 0.366431 | − | 0.938098i | ||||
\(787\) | −22.3431 | + | 11.2211i | −0.796445 | + | 0.399990i | −0.799997 | − | 0.600004i | \(-0.795166\pi\) |
0.00355214 | + | 0.999994i | \(0.498869\pi\) | |||||||
\(788\) | 10.1268 | − | 23.4766i | 0.360753 | − | 0.836320i | ||||
\(789\) | −0.970452 | + | 1.82494i | −0.0345490 | + | 0.0649695i | ||||
\(790\) | −0.507571 | − | 8.71465i | −0.0180586 | − | 0.310053i | ||||
\(791\) | 0.308233 | + | 1.74808i | 0.0109595 | + | 0.0621544i | ||||
\(792\) | −0.112890 | − | 9.78409i | −0.00401137 | − | 0.347662i | ||||
\(793\) | −2.58123 | + | 14.6389i | −0.0916623 | + | 0.519843i | ||||
\(794\) | 44.8132 | + | 5.23791i | 1.59036 | + | 0.185886i | ||||
\(795\) | −15.4800 | + | 10.9729i | −0.549020 | + | 0.389167i | ||||
\(796\) | 11.3108 | + | 37.7808i | 0.400902 | + | 1.33911i | ||||
\(797\) | 1.01096 | + | 0.239603i | 0.0358102 | + | 0.00848717i | 0.248482 | − | 0.968637i | \(-0.420068\pi\) |
−0.212672 | + | 0.977124i | \(0.568216\pi\) | |||||||
\(798\) | −8.60813 | − | 0.703100i | −0.304725 | − | 0.0248895i | ||||
\(799\) | −4.65547 | − | 10.7926i | −0.164699 | − | 0.381814i | ||||
\(800\) | 6.71329 | + | 5.63312i | 0.237351 | + | 0.199161i | ||||
\(801\) | 1.24608 | + | 0.520537i | 0.0440279 | + | 0.0183923i | ||||
\(802\) | −46.7869 | + | 39.2589i | −1.65210 | + | 1.38628i | ||||
\(803\) | −2.67153 | − | 1.34169i | −0.0942763 | − | 0.0473474i | ||||
\(804\) | 15.7044 | + | 5.10352i | 0.553852 | + | 0.179987i | ||||
\(805\) | 2.08520 | − | 0.243725i | 0.0734938 | − | 0.00859019i | ||||
\(806\) | −2.83957 | + | 48.7535i | −0.100019 | + | 1.71727i | ||||
\(807\) | 0.175081 | − | 7.50639i | 0.00616314 | − | 0.264237i | ||||
\(808\) | 6.62684 | + | 7.02404i | 0.233131 | + | 0.247105i | ||||
\(809\) | −30.8446 | −1.08444 | −0.542220 | − | 0.840237i | \(-0.682416\pi\) | ||||
−0.542220 | + | 0.840237i | \(0.682416\pi\) | |||||||
\(810\) | −36.9544 | + | 9.66409i | −1.29844 | + | 0.339562i | ||||
\(811\) | 22.1150 | 0.776564 | 0.388282 | − | 0.921541i | \(-0.373069\pi\) | ||||
0.388282 | + | 0.921541i | \(0.373069\pi\) | |||||||
\(812\) | 4.52516 | + | 4.79639i | 0.158802 | + | 0.168320i | ||||
\(813\) | −10.6089 | + | 5.79950i | −0.372070 | + | 0.203397i | ||||
\(814\) | −2.27745 | + | 39.1024i | −0.0798247 | + | 1.37054i | ||||
\(815\) | 4.13293 | − | 0.483070i | 0.144770 | − | 0.0169212i | ||||
\(816\) | −6.52428 | + | 5.87391i | −0.228395 | + | 0.205628i | ||||
\(817\) | 23.2023 | + | 11.6527i | 0.811747 | + | 0.407675i | ||||
\(818\) | −53.2249 | + | 44.6610i | −1.86097 | + | 1.56154i | ||||
\(819\) | −1.64422 | + | 7.31247i | −0.0574537 | + | 0.255518i | ||||
\(820\) | 8.66506 | + | 7.27085i | 0.302597 | + | 0.253909i | ||||
\(821\) | −4.56863 | − | 10.5913i | −0.159446 | − | 0.369638i | 0.819700 | − | 0.572793i | \(-0.194140\pi\) |
−0.979147 | + | 0.203154i | \(0.934881\pi\) | |||||||
\(822\) | 23.4796 | + | 49.6031i | 0.818946 | + | 1.73011i | ||||
\(823\) | 1.42715 | + | 0.338241i | 0.0497473 | + | 0.0117903i | 0.255414 | − | 0.966832i | \(-0.417788\pi\) |
−0.205667 | + | 0.978622i | \(0.565936\pi\) | |||||||
\(824\) | 6.73408 | + | 22.4934i | 0.234593 | + | 0.783594i | ||||
\(825\) | −0.414924 | − | 4.44698i | −0.0144458 | − | 0.154824i | ||||
\(826\) | 9.78192 | + | 1.14334i | 0.340357 | + | 0.0397820i | ||||
\(827\) | −3.06311 | + | 17.3718i | −0.106515 | + | 0.604075i | 0.884090 | + | 0.467317i | \(0.154779\pi\) |
−0.990604 | + | 0.136758i | \(0.956332\pi\) | |||||||
\(828\) | −15.1331 | + | 18.4634i | −0.525911 | + | 0.641648i | ||||
\(829\) | 7.12637 | + | 40.4157i | 0.247509 | + | 1.40369i | 0.814593 | + | 0.580033i | \(0.196960\pi\) |
−0.567084 | + | 0.823660i | \(0.691928\pi\) | |||||||
\(830\) | 1.61532 | + | 27.7339i | 0.0560684 | + | 0.962658i | ||||
\(831\) | −21.8208 | + | 0.760929i | −0.756955 | + | 0.0263963i | ||||
\(832\) | 33.5618 | − | 77.8050i | 1.16355 | − | 2.69740i | ||||
\(833\) | −14.0384 | + | 7.05035i | −0.486402 | + | 0.244280i | ||||
\(834\) | 4.84222 | + | 6.05190i | 0.167672 | + | 0.209560i | ||||
\(835\) | 15.5044 | − | 3.67461i | 0.536551 | − | 0.127165i | ||||
\(836\) | −19.4098 | − | 33.6188i | −0.671303 | − | 1.16273i | ||||
\(837\) | 10.2187 | − | 13.3937i | 0.353210 | − | 0.462954i | ||||
\(838\) | 33.3937 | − | 57.8395i | 1.15356 | − | 1.99803i | ||||
\(839\) | −3.87752 | + | 12.9518i | −0.133867 | + | 0.447146i | −0.998469 | − | 0.0553104i | \(-0.982385\pi\) |
0.864602 | + | 0.502457i | \(0.167570\pi\) | |||||||
\(840\) | −1.72596 | − | 0.346013i | −0.0595513 | − | 0.0119386i | ||||
\(841\) | −15.5054 | − | 10.1980i | −0.534668 | − | 0.351657i | ||||
\(842\) | −33.2254 | − | 44.6295i | −1.14502 | − | 1.53803i | ||||
\(843\) | −37.5666 | + | 15.1758i | −1.29386 | + | 0.522681i | ||||
\(844\) | 38.3136 | − | 25.1992i | 1.31881 | − | 0.867393i | ||||
\(845\) | −65.7180 | − | 23.9194i | −2.26077 | − | 0.822852i | ||||
\(846\) | −8.05898 | − | 32.3363i | −0.277073 | − | 1.11174i | ||||
\(847\) | −1.98563 | + | 0.722711i | −0.0682271 | + | 0.0248326i | ||||
\(848\) | −7.38355 | + | 9.91783i | −0.253552 | + | 0.340580i | ||||
\(849\) | −4.87157 | + | 1.33550i | −0.167192 | + | 0.0458343i | ||||
\(850\) | 3.86907 | − | 4.10097i | 0.132708 | − | 0.140662i | ||||
\(851\) | 16.4235 | − | 17.4079i | 0.562989 | − | 0.596733i | ||||
\(852\) | −59.5884 | + | 16.3357i | −2.04147 | + | 0.559651i | ||||
\(853\) | −12.8081 | + | 17.2043i | −0.438542 | + | 0.589064i | −0.965363 | − | 0.260912i | \(-0.915977\pi\) |
0.526820 | + | 0.849977i | \(0.323384\pi\) | |||||||
\(854\) | 1.55135 | − | 0.564645i | 0.0530860 | − | 0.0193217i | ||||
\(855\) | −27.3026 | + | 26.3607i | −0.933730 | + | 0.901516i | ||||
\(856\) | −15.6282 | − | 5.68819i | −0.534160 | − | 0.194418i | ||||
\(857\) | 43.6790 | − | 28.7281i | 1.49205 | − | 0.981334i | 0.498624 | − | 0.866819i | \(-0.333839\pi\) |
0.993422 | − | 0.114515i | \(-0.0365314\pi\) | |||||||
\(858\) | −54.6484 | + | 22.0763i | −1.86567 | + | 0.753672i | ||||
\(859\) | −1.01577 | − | 1.36441i | −0.0346575 | − | 0.0465531i | 0.784457 | − | 0.620184i | \(-0.212942\pi\) |
−0.819114 | + | 0.573631i | \(0.805535\pi\) | |||||||
\(860\) | 17.6544 | + | 11.6114i | 0.602008 | + | 0.395947i | ||||
\(861\) | −1.31344 | − | 0.263313i | −0.0447619 | − | 0.00897367i | ||||
\(862\) | 14.7946 | − | 49.4175i | 0.503907 | − | 1.68317i | ||||
\(863\) | 3.53898 | − | 6.12969i | 0.120468 | − | 0.208657i | −0.799484 | − | 0.600687i | \(-0.794894\pi\) |
0.919952 | + | 0.392030i | \(0.128227\pi\) | |||||||
\(864\) | −33.5873 | + | 21.5281i | −1.14266 | + | 0.732401i | ||||
\(865\) | 10.8088 | + | 18.7215i | 0.367512 | + | 0.636549i | ||||
\(866\) | 85.5054 | − | 20.2652i | 2.90559 | − | 0.688638i | ||||
\(867\) | −12.7402 | − | 15.9229i | −0.432679 | − | 0.540771i | ||||
\(868\) | 2.77036 | − | 1.39133i | 0.0940321 | − | 0.0472247i | ||||
\(869\) | −1.84041 | + | 4.26656i | −0.0624318 | + | 0.144733i | ||||
\(870\) | 50.6639 | − | 1.76674i | 1.71767 | − | 0.0598981i | ||||
\(871\) | −1.44838 | − | 24.8677i | −0.0490765 | − | 0.842611i | ||||
\(872\) | 2.20958 | + | 12.5312i | 0.0748259 | + | 0.424359i | ||||
\(873\) | −10.3844 | − | 27.5382i | −0.351460 | − | 0.932027i | ||||
\(874\) | −7.20611 | + | 40.8679i | −0.243750 | + | 1.38238i | ||||
\(875\) | −4.29396 | − | 0.501892i | −0.145162 | − | 0.0169671i | ||||
\(876\) | −0.568157 | − | 6.08926i | −0.0191962 | − | 0.205737i | ||||
\(877\) | −7.08867 | − | 23.6778i | −0.239367 | − | 0.799543i | −0.990274 | − | 0.139134i | \(-0.955568\pi\) |
0.750906 | − | 0.660409i | \(-0.229617\pi\) | |||||||
\(878\) | 28.1528 | + | 6.67234i | 0.950111 | + | 0.225181i | ||||
\(879\) | −11.5362 | − | 24.3713i | −0.389105 | − | 0.822024i | ||||
\(880\) | 3.89680 | + | 9.03380i | 0.131361 | + | 0.304529i | ||||
\(881\) | 21.7252 | + | 18.2296i | 0.731941 | + | 0.614171i | 0.930660 | − | 0.365885i | \(-0.119234\pi\) |
−0.198719 | + | 0.980056i | \(0.563678\pi\) | |||||||
\(882\) | −42.5189 | + | 13.2657i | −1.43169 | + | 0.446681i | ||||
\(883\) | 3.85531 | − | 3.23499i | 0.129742 | − | 0.108866i | −0.575608 | − | 0.817726i | \(-0.695235\pi\) |
0.705349 | + | 0.708860i | \(0.250790\pi\) | |||||||
\(884\) | −38.0026 | − | 19.0856i | −1.27817 | − | 0.641919i | ||||
\(885\) | 32.1617 | − | 28.9557i | 1.08111 | − | 0.973335i | ||||
\(886\) | −52.7190 | + | 6.16196i | −1.77113 | + | 0.207015i | ||||
\(887\) | 2.57805 | − | 44.2634i | 0.0865625 | − | 1.48622i | −0.623357 | − | 0.781938i | \(-0.714231\pi\) |
0.709919 | − | 0.704283i | \(-0.248731\pi\) | |||||||
\(888\) | −17.6077 | + | 9.62548i | −0.590875 | + | 0.323010i | ||||
\(889\) | −0.536087 | − | 0.568219i | −0.0179798 | − | 0.0190575i | ||||
\(890\) | 1.91047 | 0.0640390 | ||||||||
\(891\) | 19.8868 | + | 4.23114i | 0.666233 | + | 0.141748i | ||||
\(892\) | 53.6485 | 1.79628 | ||||||||
\(893\) | −22.7222 | − | 24.0841i | −0.760370 | − | 0.805945i | ||||
\(894\) | 0.0677535 | − | 2.90485i | 0.00226601 | − | 0.0971527i | ||||
\(895\) | −0.448955 | + | 7.70826i | −0.0150069 | + | 0.257659i | ||||
\(896\) | −3.88164 | + | 0.453698i | −0.129676 | + | 0.0151570i | ||||
\(897\) | 34.2493 | + | 11.1301i | 1.14355 | + | 0.371624i | ||||
\(898\) | −1.75137 | − | 0.879570i | −0.0584439 | − | 0.0293516i | ||||
\(899\) | −17.1278 | + | 14.3719i | −0.571245 | + | 0.479331i | ||||
\(900\) | 7.26539 | − | 5.54030i | 0.242180 | − | 0.184677i | ||||
\(901\) | 9.76686 | + | 8.19537i | 0.325381 | + | 0.273027i | ||||
\(902\) | −4.17232 | − | 9.67254i | −0.138923 | − | 0.322060i | ||||
\(903\) | −2.49412 | − | 0.203716i | −0.0829990 | − | 0.00677924i | ||||
\(904\) | −6.95844 | − | 1.64918i | −0.231434 | − | 0.0548509i | ||||
\(905\) | −1.53190 | − | 5.11692i | −0.0509222 | − | 0.170092i | ||||
\(906\) | 19.5483 | − | 13.8566i | 0.649450 | − | 0.460356i | ||||
\(907\) | 31.5973 | + | 3.69319i | 1.04917 | + | 0.122630i | 0.623165 | − | 0.782090i | \(-0.285847\pi\) |
0.426005 | + | 0.904721i | \(0.359921\pi\) | |||||||
\(908\) | 11.5506 | − | 65.5064i | 0.383319 | − | 2.17391i | ||||
\(909\) | −17.2607 | + | 10.2328i | −0.572500 | + | 0.339400i | ||||
\(910\) | 1.84125 | + | 10.4422i | 0.0610367 | + | 0.346156i | ||||
\(911\) | 0.402621 | + | 6.91273i | 0.0133394 | + | 0.229029i | 0.998388 | + | 0.0567535i | \(0.0180749\pi\) |
−0.985049 | + | 0.172276i | \(0.944888\pi\) | |||||||
\(912\) | −11.6113 | + | 21.8351i | −0.384489 | + | 0.723034i | ||||
\(913\) | 5.85702 | − | 13.5781i | 0.193839 | − | 0.449369i | ||||
\(914\) | −40.5588 | + | 20.3694i | −1.34157 | + | 0.673760i | ||||
\(915\) | 2.63942 | − | 6.75717i | 0.0872566 | − | 0.223385i | ||||
\(916\) | 22.6840 | − | 5.37620i | 0.749500 | − | 0.177635i | ||||
\(917\) | 1.35192 | + | 2.34159i | 0.0446443 | + | 0.0773261i | ||||
\(918\) | 12.5703 | + | 22.3771i | 0.414881 | + | 0.738556i | ||||
\(919\) | 21.1597 | − | 36.6496i | 0.697993 | − | 1.20896i | −0.271169 | − | 0.962532i | \(-0.587410\pi\) |
0.969161 | − | 0.246427i | \(-0.0792565\pi\) | |||||||
\(920\) | −2.42577 | + | 8.10263i | −0.0799752 | + | 0.267136i | ||||
\(921\) | 5.26545 | − | 5.98592i | 0.173503 | − | 0.197243i | ||||
\(922\) | 25.0658 | + | 16.4861i | 0.825499 | + | 0.542939i | ||||
\(923\) | 55.6592 | + | 74.7632i | 1.83204 | + | 2.46086i | ||||
\(924\) | 2.94819 | + | 2.30361i | 0.0969882 | + | 0.0757831i | ||||
\(925\) | −7.65277 | + | 5.03331i | −0.251622 | + | 0.165494i | ||||
\(926\) | −17.6751 | − | 6.43322i | −0.580841 | − | 0.211409i | ||||
\(927\) | −48.6706 | + | 3.39859i | −1.59855 | + | 0.111624i | ||||
\(928\) | 49.7542 | − | 18.1091i | 1.63326 | − | 0.594459i | ||||
\(929\) | 17.7471 | − | 23.8385i | 0.582263 | − | 0.782115i | −0.409208 | − | 0.912441i | \(-0.634195\pi\) |
0.991471 | + | 0.130326i | \(0.0416023\pi\) | |||||||
\(930\) | 6.03559 | − | 23.0563i | 0.197915 | − | 0.756047i | ||||
\(931\) | −30.3689 | + | 32.1891i | −0.995299 | + | 1.05496i | ||||
\(932\) | −4.46272 | + | 4.73020i | −0.146181 | + | 0.154943i | ||||
\(933\) | 23.8536 | + | 23.5800i | 0.780932 | + | 0.771973i | ||||
\(934\) | 16.1552 | − | 21.7002i | 0.528615 | − | 0.710053i | ||||
\(935\) | 9.53316 | − | 3.46979i | 0.311768 | − | 0.113474i | ||||
\(936\) | −24.4271 | − | 17.7510i | −0.798423 | − | 0.580208i | ||||
\(937\) | −12.3573 | − | 4.49771i | −0.403697 | − | 0.146934i | 0.132188 | − | 0.991225i | \(-0.457800\pi\) |
−0.535885 | + | 0.844291i | \(0.680022\pi\) | |||||||
\(938\) | −2.31141 | + | 1.52024i | −0.0754704 | + | 0.0496376i | ||||
\(939\) | −5.20256 | + | 37.0050i | −0.169779 | + | 1.20761i | ||||
\(940\) | −16.0917 | − | 21.6149i | −0.524854 | − | 0.705001i | ||||
\(941\) | −31.1339 | − | 20.4771i | −1.01493 | − | 0.667533i | −0.0709355 | − | 0.997481i | \(-0.522598\pi\) |
−0.943999 | + | 0.329948i | \(0.892969\pi\) | |||||||
\(942\) | 15.3560 | + | 45.4618i | 0.500326 | + | 1.48122i | ||||
\(943\) | −1.84599 | + | 6.16602i | −0.0601136 | + | 0.200793i | ||||
\(944\) | 14.1000 | − | 24.4220i | 0.458917 | − | 0.794868i | ||||
\(945\) | 1.48824 | − | 3.34132i | 0.0484125 | − | 0.108693i | ||||
\(946\) | −9.83919 | − | 17.0420i | −0.319900 | − | 0.554082i | ||||
\(947\) | 20.9971 | − | 4.97641i | 0.682315 | − | 0.161712i | 0.125181 | − | 0.992134i | \(-0.460049\pi\) |
0.557135 | + | 0.830422i | \(0.311901\pi\) | |||||||
\(948\) | −9.39711 | + | 1.43190i | −0.305204 | + | 0.0465058i | ||||
\(949\) | −8.24434 | + | 4.14046i | −0.267623 | + | 0.134405i | ||||
\(950\) | 6.29078 | − | 14.5837i | 0.204100 | − | 0.473157i | ||||
\(951\) | −27.8767 | − | 44.6170i | −0.903965 | − | 1.44680i | ||||
\(952\) | 0.0687745 | + | 1.18081i | 0.00222899 | + | 0.0382703i | ||||
\(953\) | −2.92264 | − | 16.5751i | −0.0946736 | − | 0.536921i | −0.994847 | − | 0.101389i | \(-0.967671\pi\) |
0.900173 | − | 0.435532i | \(-0.143440\pi\) | |||||||
\(954\) | 23.5540 | + | 27.4218i | 0.762589 | + | 0.887812i | ||||
\(955\) | −2.13457 | + | 12.1058i | −0.0690731 | + | 0.391733i | ||||
\(956\) | −35.9057 | − | 4.19677i | −1.16127 | − | 0.135733i | ||||
\(957\) | −24.5214 | − | 11.2628i | −0.792665 | − | 0.364074i | ||||
\(958\) | 6.82141 | + | 22.7851i | 0.220390 | + | 0.736153i | ||||
\(959\) | −5.11362 | − | 1.21195i | −0.165128 | − | 0.0391359i | ||||
\(960\) | −23.5232 | + | 34.0105i | −0.759207 | + | 1.09768i | ||||
\(961\) | −8.11505 | − | 18.8128i | −0.261776 | − | 0.606864i | ||||
\(962\) | 92.5951 | + | 77.6965i | 2.98539 | + | 2.50504i | ||||
\(963\) | 18.6557 | − | 29.0901i | 0.601171 | − | 0.937417i | ||||
\(964\) | 39.7943 | − | 33.3914i | 1.28169 | − | 1.07546i | ||||
\(965\) | −0.423805 | − | 0.212843i | −0.0136428 | − | 0.00685165i | ||||
\(966\) | −0.831375 | − | 3.91226i | −0.0267491 | − | 0.125875i | ||||
\(967\) | 15.1562 | − | 1.77150i | 0.487390 | − | 0.0569677i | 0.131151 | − | 0.991362i | \(-0.458133\pi\) |
0.356239 | + | 0.934395i | \(0.384059\pi\) | |||||||
\(968\) | 0.494987 | − | 8.49861i | 0.0159095 | − | 0.273156i | ||||
\(969\) | 21.7812 | + | 13.2620i | 0.699714 | + | 0.426037i | ||||
\(970\) | −28.5727 | − | 30.2852i | −0.917413 | − | 0.972401i | ||||
\(971\) | 22.7152 | 0.728964 | 0.364482 | − | 0.931210i | \(-0.381246\pi\) | ||||
0.364482 | + | 0.931210i | \(0.381246\pi\) | |||||||
\(972\) | 14.2162 | + | 39.0885i | 0.455985 | + | 1.25376i | ||||
\(973\) | −0.742205 | −0.0237940 | ||||||||
\(974\) | 40.3890 | + | 42.8098i | 1.29415 | + | 1.37172i | ||||
\(975\) | −11.7725 | − | 7.16795i | −0.377021 | − | 0.229558i | ||||
\(976\) | 0.274862 | − | 4.71919i | 0.00879811 | − | 0.151058i | ||||
\(977\) | 13.0250 | − | 1.52241i | 0.416708 | − | 0.0487062i | 0.0948440 | − | 0.995492i | \(-0.469765\pi\) |
0.321864 | + | 0.946786i | \(0.395691\pi\) | |||||||
\(978\) | −1.64781 | − | 7.75419i | −0.0526911 | − | 0.247952i | ||||
\(979\) | −0.908753 | − | 0.456393i | −0.0290439 | − | 0.0145864i | ||||
\(980\) | −27.5895 | + | 23.1504i | −0.881315 | + | 0.739511i | ||||
\(981\) | −26.4117 | − | 1.23274i | −0.843262 | − | 0.0393583i | ||||
\(982\) | −63.8859 | − | 53.6066i | −2.03868 | − | 1.71066i | ||||
\(983\) | −10.3502 | − | 23.9944i | −0.330120 | − | 0.765304i | −0.999744 | − | 0.0226040i | \(-0.992804\pi\) |
0.669625 | − | 0.742700i | \(-0.266455\pi\) | |||||||
\(984\) | 3.06993 | − | 4.43859i | 0.0978657 | − | 0.141497i | ||||
\(985\) | 18.3154 | + | 4.34082i | 0.583576 | + | 0.138310i | ||||
\(986\) | −9.76957 | − | 32.6326i | −0.311127 | − | 1.03924i | ||||
\(987\) | 2.89999 | + | 1.33197i | 0.0923076 | + | 0.0423972i | ||||
\(988\) | −118.987 | − | 13.9076i | −3.78549 | − | 0.442460i | ||||
\(989\) | −2.08789 | + | 11.8410i | −0.0663912 | + | 0.376523i | ||||
\(990\) | 28.2673 | − | 5.32126i | 0.898392 | − | 0.169121i | ||||
\(991\) | −2.27294 | − | 12.8905i | −0.0722023 | − | 0.409480i | −0.999391 | − | 0.0348858i | \(-0.988893\pi\) |
0.927189 | − | 0.374594i | \(-0.122218\pi\) | |||||||
\(992\) | −1.44736 | − | 24.8502i | −0.0459536 | − | 0.788993i | ||||
\(993\) | −1.03330 | − | 1.65381i | −0.0327908 | − | 0.0524820i | ||||
\(994\) | 4.10011 | − | 9.50513i | 0.130048 | − | 0.301484i | ||||
\(995\) | −25.9455 | + | 13.0303i | −0.822527 | + | 0.413088i | ||||
\(996\) | 29.9058 | − | 4.55693i | 0.947601 | − | 0.144392i | ||||
\(997\) | 40.7348 | − | 9.65433i | 1.29008 | − | 0.305756i | 0.472380 | − | 0.881395i | \(-0.343395\pi\) |
0.817704 | + | 0.575639i | \(0.195247\pi\) | |||||||
\(998\) | 46.2851 | + | 80.1681i | 1.46513 | + | 2.53768i | ||||
\(999\) | −11.4875 | − | 40.0838i | −0.363448 | − | 1.26820i |
(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 | 81.2.g.a.22.2 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.199.7 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.352.7 | 144 | |||
9.4 | even | 3 | 729.2.g.c.595.7 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.595.2 | 144 | |||
9.7 | even | 3 | 729.2.g.d.352.2 | 144 | |||
81.11 | odd | 54 | 243.2.g.a.127.7 | 144 | |||
81.16 | even | 27 | 729.2.g.d.379.2 | 144 | |||
81.31 | even | 27 | 6561.2.a.c.1.64 | 72 | |||
81.38 | odd | 54 | 729.2.g.b.136.2 | 144 | |||
81.43 | even | 27 | 729.2.g.c.136.7 | 144 | |||
81.50 | odd | 54 | 6561.2.a.d.1.9 | 72 | |||
81.65 | odd | 54 | 729.2.g.a.379.7 | 144 | |||
81.70 | even | 27 | inner | 81.2.g.a.70.2 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.22.2 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.70.2 | yes | 144 | 81.70 | even | 27 | inner | |
243.2.g.a.127.7 | 144 | 81.11 | odd | 54 | |||
243.2.g.a.199.7 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.352.7 | 144 | 9.2 | odd | 6 | |||
729.2.g.a.379.7 | 144 | 81.65 | odd | 54 | |||
729.2.g.b.136.2 | 144 | 81.38 | odd | 54 | |||
729.2.g.b.595.2 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.136.7 | 144 | 81.43 | even | 27 | |||
729.2.g.c.595.7 | 144 | 9.4 | even | 3 | |||
729.2.g.d.352.2 | 144 | 9.7 | even | 3 | |||
729.2.g.d.379.2 | 144 | 81.16 | even | 27 | |||
6561.2.a.c.1.64 | 72 | 81.31 | even | 27 | |||
6561.2.a.d.1.9 | 72 | 81.50 | odd | 54 |