Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(19,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.w (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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 33.4 | ||
Character | \(\chi\) | \(=\) | 91.33 |
Dual form | 91.2.w.a.80.4 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.127046 | + | 0.474142i | −0.0898350 | + | 0.335269i | −0.996186 | − | 0.0872571i | \(-0.972190\pi\) |
0.906351 | + | 0.422526i | \(0.138857\pi\) | |||||||
\(3\) | 2.44579i | 1.41208i | 0.708172 | + | 0.706040i | \(0.249520\pi\) | ||||
−0.708172 | + | 0.706040i | \(0.750480\pi\) | |||||||
\(4\) | 1.52338 | + | 0.879524i | 0.761690 | + | 0.439762i | ||||
\(5\) | −0.931242 | − | 3.47544i | −0.416464 | − | 1.55427i | −0.781885 | − | 0.623423i | \(-0.785741\pi\) |
0.365420 | − | 0.930843i | \(-0.380925\pi\) | |||||||
\(6\) | −1.15965 | − | 0.310728i | −0.473427 | − | 0.126854i | ||||
\(7\) | −0.668469 | + | 2.55991i | −0.252657 | + | 0.967556i | ||||
\(8\) | −1.30475 | + | 1.30475i | −0.461299 | + | 0.461299i | ||||
\(9\) | −2.98191 | −0.993971 | ||||||||
\(10\) | 1.76616 | 0.558510 | ||||||||
\(11\) | 1.49610 | − | 1.49610i | 0.451090 | − | 0.451090i | −0.444626 | − | 0.895716i | \(-0.646663\pi\) |
0.895716 | + | 0.444626i | \(0.146663\pi\) | |||||||
\(12\) | −2.15114 | + | 3.72588i | −0.620980 | + | 1.07557i | ||||
\(13\) | −0.582584 | − | 3.55817i | −0.161580 | − | 0.986860i | ||||
\(14\) | −1.12884 | − | 0.642175i | −0.301694 | − | 0.171629i | ||||
\(15\) | 8.50022 | − | 2.27763i | 2.19475 | − | 0.588081i | ||||
\(16\) | 1.30618 | + | 2.26236i | 0.326544 | + | 0.565590i | ||||
\(17\) | 0.572121 | − | 0.990942i | 0.138760 | − | 0.240339i | −0.788268 | − | 0.615332i | \(-0.789022\pi\) |
0.927027 | + | 0.374994i | \(0.122355\pi\) | |||||||
\(18\) | 0.378840 | − | 1.41385i | 0.0892934 | − | 0.333248i | ||||
\(19\) | 3.22385 | − | 3.22385i | 0.739603 | − | 0.739603i | −0.232898 | − | 0.972501i | \(-0.574821\pi\) |
0.972501 | + | 0.232898i | \(0.0748209\pi\) | |||||||
\(20\) | 1.63810 | − | 6.11348i | 0.366291 | − | 1.36701i | ||||
\(21\) | −6.26102 | − | 1.63494i | −1.36627 | − | 0.356773i | ||||
\(22\) | 0.519289 | + | 0.899435i | 0.110713 | + | 0.191760i | ||||
\(23\) | −1.28375 | + | 0.741175i | −0.267681 | + | 0.154546i | −0.627833 | − | 0.778348i | \(-0.716058\pi\) |
0.360152 | + | 0.932894i | \(0.382725\pi\) | |||||||
\(24\) | −3.19115 | − | 3.19115i | −0.651391 | − | 0.651391i | ||||
\(25\) | −6.88137 | + | 3.97296i | −1.37627 | + | 0.794593i | ||||
\(26\) | 1.76109 | + | 0.175824i | 0.345379 | + | 0.0344819i | ||||
\(27\) | 0.0442386i | 0.00851372i | ||||||||
\(28\) | −3.26984 | + | 3.31179i | −0.617941 | + | 0.625869i | ||||
\(29\) | 2.75801 | − | 4.77701i | 0.512149 | − | 0.887068i | −0.487752 | − | 0.872982i | \(-0.662183\pi\) |
0.999901 | − | 0.0140858i | \(-0.00448381\pi\) | |||||||
\(30\) | 4.31968i | 0.788661i | ||||||||
\(31\) | −5.85632 | − | 1.56920i | −1.05183 | − | 0.281836i | −0.308820 | − | 0.951121i | \(-0.599934\pi\) |
−0.743006 | + | 0.669285i | \(0.766601\pi\) | |||||||
\(32\) | −4.80327 | + | 1.28703i | −0.849106 | + | 0.227517i | ||||
\(33\) | 3.65915 | + | 3.65915i | 0.636976 | + | 0.636976i | ||||
\(34\) | 0.397162 | + | 0.397162i | 0.0681127 | + | 0.0681127i | ||||
\(35\) | 9.51934 | − | 0.0606729i | 1.60906 | − | 0.0102556i | ||||
\(36\) | −4.54259 | − | 2.62266i | −0.757098 | − | 0.437111i | ||||
\(37\) | 2.61260 | + | 0.700045i | 0.429509 | + | 0.115087i | 0.467096 | − | 0.884207i | \(-0.345300\pi\) |
−0.0375866 | + | 0.999293i | \(0.511967\pi\) | |||||||
\(38\) | 1.11899 | + | 1.93814i | 0.181524 | + | 0.314408i | ||||
\(39\) | 8.70256 | − | 1.42488i | 1.39353 | − | 0.228164i | ||||
\(40\) | 5.74963 | + | 3.31955i | 0.909096 | + | 0.524867i | ||||
\(41\) | 1.21867 | + | 4.54813i | 0.190324 | + | 0.710299i | 0.993428 | + | 0.114460i | \(0.0365137\pi\) |
−0.803104 | + | 0.595839i | \(0.796820\pi\) | |||||||
\(42\) | 1.57063 | − | 2.76090i | 0.242353 | − | 0.426016i | ||||
\(43\) | −4.55704 | + | 2.63101i | −0.694942 | + | 0.401225i | −0.805461 | − | 0.592649i | \(-0.798082\pi\) |
0.110519 | + | 0.993874i | \(0.464749\pi\) | |||||||
\(44\) | 3.59498 | − | 0.963272i | 0.541964 | − | 0.145219i | ||||
\(45\) | 2.77688 | + | 10.3635i | 0.413953 | + | 1.54489i | ||||
\(46\) | −0.188327 | − | 0.702845i | −0.0277673 | − | 0.103629i | ||||
\(47\) | −6.51834 | + | 1.74658i | −0.950797 | + | 0.254765i | −0.700700 | − | 0.713456i | \(-0.747129\pi\) |
−0.250097 | + | 0.968221i | \(0.580462\pi\) | |||||||
\(48\) | −5.53327 | + | 3.19464i | −0.798659 | + | 0.461106i | ||||
\(49\) | −6.10630 | − | 3.42244i | −0.872328 | − | 0.488920i | ||||
\(50\) | −1.00950 | − | 3.76750i | −0.142765 | − | 0.532804i | ||||
\(51\) | 2.42364 | + | 1.39929i | 0.339378 | + | 0.195940i | ||||
\(52\) | 2.24200 | − | 5.93285i | 0.310910 | − | 0.822738i | ||||
\(53\) | −1.74389 | − | 3.02051i | −0.239542 | − | 0.414899i | 0.721041 | − | 0.692892i | \(-0.243664\pi\) |
−0.960583 | + | 0.277994i | \(0.910331\pi\) | |||||||
\(54\) | −0.0209754 | − | 0.00562033i | −0.00285439 | − | 0.000764830i | ||||
\(55\) | −6.59283 | − | 3.80637i | −0.888977 | − | 0.513251i | ||||
\(56\) | −2.46786 | − | 4.21223i | −0.329782 | − | 0.562883i | ||||
\(57\) | 7.88489 | + | 7.88489i | 1.04438 | + | 1.04438i | ||||
\(58\) | 1.91459 | + | 1.91459i | 0.251397 | + | 0.251397i | ||||
\(59\) | −11.0394 | + | 2.95801i | −1.43721 | + | 0.385100i | −0.891557 | − | 0.452909i | \(-0.850386\pi\) |
−0.545656 | + | 0.838009i | \(0.683720\pi\) | |||||||
\(60\) | 14.9523 | + | 4.00646i | 1.93033 | + | 0.517232i | ||||
\(61\) | 9.46949i | 1.21244i | 0.795296 | + | 0.606222i | \(0.207316\pi\) | ||||
−0.795296 | + | 0.606222i | \(0.792684\pi\) | |||||||
\(62\) | 1.48804 | − | 2.57737i | 0.188982 | − | 0.327326i | ||||
\(63\) | 1.99332 | − | 7.63343i | 0.251134 | − | 0.961722i | ||||
\(64\) | 2.78376i | 0.347970i | ||||||||
\(65\) | −11.8237 | + | 5.33826i | −1.46655 | + | 0.662130i | ||||
\(66\) | −2.19983 | + | 1.27007i | −0.270781 | + | 0.156335i | ||||
\(67\) | 5.44554 | + | 5.44554i | 0.665279 | + | 0.665279i | 0.956619 | − | 0.291340i | \(-0.0941012\pi\) |
−0.291340 | + | 0.956619i | \(0.594101\pi\) | |||||||
\(68\) | 1.74312 | − | 1.00639i | 0.211384 | − | 0.122043i | ||||
\(69\) | −1.81276 | − | 3.13980i | −0.218231 | − | 0.377987i | ||||
\(70\) | −1.18063 | + | 4.52123i | −0.141112 | + | 0.540390i | ||||
\(71\) | 1.74779 | − | 6.52285i | 0.207425 | − | 0.774120i | −0.781272 | − | 0.624191i | \(-0.785429\pi\) |
0.988697 | − | 0.149929i | \(-0.0479045\pi\) | |||||||
\(72\) | 3.89065 | − | 3.89065i | 0.458518 | − | 0.458518i | ||||
\(73\) | 1.46556 | − | 5.46953i | 0.171531 | − | 0.640161i | −0.825586 | − | 0.564276i | \(-0.809155\pi\) |
0.997117 | − | 0.0758844i | \(-0.0241780\pi\) | |||||||
\(74\) | −0.663841 | + | 1.14981i | −0.0771699 | + | 0.133662i | ||||
\(75\) | −9.71705 | − | 16.8304i | −1.12203 | − | 1.94341i | ||||
\(76\) | 7.74662 | − | 2.07570i | 0.888598 | − | 0.238099i | ||||
\(77\) | 2.82978 | + | 4.82997i | 0.322484 | + | 0.550426i | ||||
\(78\) | −0.430029 | + | 4.30727i | −0.0486912 | + | 0.487703i | ||||
\(79\) | 5.91160 | − | 10.2392i | 0.665107 | − | 1.15200i | −0.314149 | − | 0.949374i | \(-0.601719\pi\) |
0.979256 | − | 0.202626i | \(-0.0649475\pi\) | |||||||
\(80\) | 6.64635 | − | 6.64635i | 0.743084 | − | 0.743084i | ||||
\(81\) | −9.05394 | −1.00599 | ||||||||
\(82\) | −2.31129 | −0.255239 | ||||||||
\(83\) | −5.06789 | + | 5.06789i | −0.556274 | + | 0.556274i | −0.928244 | − | 0.371971i | \(-0.878682\pi\) |
0.371971 | + | 0.928244i | \(0.378682\pi\) | |||||||
\(84\) | −8.09995 | − | 7.99735i | −0.883777 | − | 0.872583i | ||||
\(85\) | −3.97675 | − | 1.06557i | −0.431339 | − | 0.115577i | ||||
\(86\) | −0.668517 | − | 2.49494i | −0.0720881 | − | 0.269036i | ||||
\(87\) | 11.6836 | + | 6.74552i | 1.25261 | + | 0.723196i | ||||
\(88\) | 3.90407i | 0.416175i | ||||||||
\(89\) | −2.58048 | + | 9.63048i | −0.273530 | + | 1.02083i | 0.683290 | + | 0.730147i | \(0.260549\pi\) |
−0.956820 | + | 0.290681i | \(0.906118\pi\) | |||||||
\(90\) | −5.26655 | −0.555143 | ||||||||
\(91\) | 9.49805 | + | 0.887163i | 0.995666 | + | 0.0929999i | ||||
\(92\) | −2.60753 | −0.271854 | ||||||||
\(93\) | 3.83793 | − | 14.3234i | 0.397975 | − | 1.48526i | ||||
\(94\) | − | 3.31251i | − | 0.341660i | ||||||
\(95\) | −14.2065 | − | 8.20214i | −1.45756 | − | 0.841521i | ||||
\(96\) | −3.14782 | − | 11.7478i | −0.321273 | − | 1.19901i | ||||
\(97\) | 13.1665 | + | 3.52795i | 1.33685 | + | 0.358209i | 0.855266 | − | 0.518190i | \(-0.173394\pi\) |
0.481587 | + | 0.876398i | \(0.340061\pi\) | |||||||
\(98\) | 2.39850 | − | 2.46044i | 0.242285 | − | 0.248542i | ||||
\(99\) | −4.46123 | + | 4.46123i | −0.448370 | + | 0.448370i | ||||
\(100\) | −13.9773 | −1.39773 | ||||||||
\(101\) | 9.74305 | 0.969470 | 0.484735 | − | 0.874661i | \(-0.338916\pi\) | ||||
0.484735 | + | 0.874661i | \(0.338916\pi\) | |||||||
\(102\) | −0.971376 | + | 0.971376i | −0.0961805 | + | 0.0961805i | ||||
\(103\) | 6.18363 | − | 10.7104i | 0.609291 | − | 1.05532i | −0.382067 | − | 0.924135i | \(-0.624787\pi\) |
0.991357 | − | 0.131188i | \(-0.0418792\pi\) | |||||||
\(104\) | 5.40266 | + | 3.88240i | 0.529774 | + | 0.380701i | ||||
\(105\) | 0.148393 | + | 23.2823i | 0.0144817 | + | 2.27212i | ||||
\(106\) | 1.65370 | − | 0.443108i | 0.160622 | − | 0.0430385i | ||||
\(107\) | 4.09359 | + | 7.09030i | 0.395742 | + | 0.685446i | 0.993196 | − | 0.116458i | \(-0.0371541\pi\) |
−0.597453 | + | 0.801904i | \(0.703821\pi\) | |||||||
\(108\) | −0.0389089 | + | 0.0673922i | −0.00374401 | + | 0.00648482i | ||||
\(109\) | 0.771224 | − | 2.87825i | 0.0738699 | − | 0.275686i | −0.919105 | − | 0.394013i | \(-0.871086\pi\) |
0.992975 | + | 0.118327i | \(0.0377531\pi\) | |||||||
\(110\) | 2.64235 | − | 2.64235i | 0.251938 | − | 0.251938i | ||||
\(111\) | −1.71217 | + | 6.38989i | −0.162512 | + | 0.606501i | ||||
\(112\) | −6.66458 | + | 1.83138i | −0.629744 | + | 0.173049i | ||||
\(113\) | −8.19898 | − | 14.2011i | −0.771295 | − | 1.33592i | −0.936853 | − | 0.349723i | \(-0.886276\pi\) |
0.165558 | − | 0.986200i | \(-0.447057\pi\) | |||||||
\(114\) | −4.74030 | + | 2.73681i | −0.443970 | + | 0.256326i | ||||
\(115\) | 3.77140 | + | 3.77140i | 0.351685 | + | 0.351685i | ||||
\(116\) | 8.40299 | − | 4.85147i | 0.780198 | − | 0.450448i | ||||
\(117\) | 1.73722 | + | 10.6102i | 0.160606 | + | 0.980910i | ||||
\(118\) | − | 5.61007i | − | 0.516448i | ||||||
\(119\) | 2.15428 | + | 2.12699i | 0.197483 | + | 0.194981i | ||||
\(120\) | −8.11894 | + | 14.0624i | −0.741154 | + | 1.28372i | ||||
\(121\) | 6.52339i | 0.593035i | ||||||||
\(122\) | −4.48988 | − | 1.20306i | −0.406495 | − | 0.108920i | ||||
\(123\) | −11.1238 | + | 2.98061i | −1.00300 | + | 0.268753i | ||||
\(124\) | −7.54126 | − | 7.54126i | −0.677225 | − | 0.677225i | ||||
\(125\) | 7.49503 | + | 7.49503i | 0.670376 | + | 0.670376i | ||||
\(126\) | 3.36609 | + | 1.91491i | 0.299875 | + | 0.170594i | ||||
\(127\) | 7.41767 | + | 4.28259i | 0.658212 | + | 0.380019i | 0.791595 | − | 0.611046i | \(-0.209251\pi\) |
−0.133384 | + | 0.991064i | \(0.542584\pi\) | |||||||
\(128\) | −10.9264 | − | 2.92773i | −0.965770 | − | 0.258777i | ||||
\(129\) | −6.43490 | − | 11.1456i | −0.566561 | − | 0.981313i | ||||
\(130\) | −1.02894 | − | 6.28432i | −0.0902440 | − | 0.551171i | ||||
\(131\) | 12.7190 | + | 7.34330i | 1.11126 | + | 0.641587i | 0.939156 | − | 0.343491i | \(-0.111610\pi\) |
0.172106 | + | 0.985078i | \(0.444943\pi\) | |||||||
\(132\) | 2.35597 | + | 8.79258i | 0.205060 | + | 0.765296i | ||||
\(133\) | 6.09774 | + | 10.4078i | 0.528741 | + | 0.902473i | ||||
\(134\) | −3.27379 | + | 1.89013i | −0.282813 | + | 0.163282i | ||||
\(135\) | 0.153749 | − | 0.0411968i | 0.0132326 | − | 0.00354566i | ||||
\(136\) | 0.546458 | + | 2.03941i | 0.0468583 | + | 0.174878i | ||||
\(137\) | 0.588910 | + | 2.19784i | 0.0503140 | + | 0.187774i | 0.986509 | − | 0.163706i | \(-0.0523449\pi\) |
−0.936195 | + | 0.351481i | \(0.885678\pi\) | |||||||
\(138\) | 1.71901 | − | 0.460608i | 0.146332 | − | 0.0392096i | ||||
\(139\) | 4.23236 | − | 2.44355i | 0.358984 | − | 0.207259i | −0.309651 | − | 0.950850i | \(-0.600212\pi\) |
0.668635 | + | 0.743591i | \(0.266879\pi\) | |||||||
\(140\) | 14.5549 | + | 8.28006i | 1.23012 | + | 0.699793i | ||||
\(141\) | −4.27178 | − | 15.9425i | −0.359749 | − | 1.34260i | ||||
\(142\) | 2.87071 | + | 1.65740i | 0.240904 | + | 0.139086i | ||||
\(143\) | −6.19497 | − | 4.45177i | −0.518050 | − | 0.372276i | ||||
\(144\) | −3.89490 | − | 6.74616i | −0.324575 | − | 0.562180i | ||||
\(145\) | −19.1706 | − | 5.13675i | −1.59203 | − | 0.426584i | ||||
\(146\) | 2.40714 | + | 1.38976i | 0.199217 | + | 0.115018i | ||||
\(147\) | 8.37059 | − | 14.9348i | 0.690395 | − | 1.23180i | ||||
\(148\) | 3.36428 | + | 3.36428i | 0.276542 | + | 0.276542i | ||||
\(149\) | 1.95929 | + | 1.95929i | 0.160511 | + | 0.160511i | 0.782793 | − | 0.622282i | \(-0.213794\pi\) |
−0.622282 | + | 0.782793i | \(0.713794\pi\) | |||||||
\(150\) | 9.21452 | − | 2.46902i | 0.752363 | − | 0.201595i | ||||
\(151\) | −6.09868 | − | 1.63414i | −0.496304 | − | 0.132984i | 0.00198027 | − | 0.999998i | \(-0.499370\pi\) |
−0.498284 | + | 0.867014i | \(0.666036\pi\) | |||||||
\(152\) | 8.41265i | 0.682356i | ||||||||
\(153\) | −1.70601 | + | 2.95490i | −0.137923 | + | 0.238890i | ||||
\(154\) | −2.64960 | + | 0.728090i | −0.213511 | + | 0.0586712i | ||||
\(155\) | 21.8146i | 1.75219i | ||||||||
\(156\) | 14.5105 | + | 5.48348i | 1.16177 | + | 0.439030i | ||||
\(157\) | −1.65313 | + | 0.954436i | −0.131934 | + | 0.0761723i | −0.564514 | − | 0.825423i | \(-0.690937\pi\) |
0.432580 | + | 0.901595i | \(0.357603\pi\) | |||||||
\(158\) | 4.10379 | + | 4.10379i | 0.326480 | + | 0.326480i | ||||
\(159\) | 7.38754 | − | 4.26520i | 0.585870 | − | 0.338252i | ||||
\(160\) | 8.94602 | + | 15.4950i | 0.707245 | + | 1.22498i | ||||
\(161\) | −1.03919 | − | 3.78175i | −0.0819000 | − | 0.298044i | ||||
\(162\) | 1.15027 | − | 4.29285i | 0.0903734 | − | 0.337278i | ||||
\(163\) | 4.36507 | − | 4.36507i | 0.341899 | − | 0.341899i | −0.515182 | − | 0.857081i | \(-0.672276\pi\) |
0.857081 | + | 0.515182i | \(0.172276\pi\) | |||||||
\(164\) | −2.14370 | + | 8.00038i | −0.167395 | + | 0.624725i | ||||
\(165\) | 9.30961 | − | 16.1247i | 0.724752 | − | 1.25531i | ||||
\(166\) | −1.75905 | − | 3.04676i | −0.136528 | − | 0.236474i | ||||
\(167\) | −2.11863 | + | 0.567684i | −0.163944 | + | 0.0439287i | −0.339857 | − | 0.940477i | \(-0.610379\pi\) |
0.175913 | + | 0.984406i | \(0.443712\pi\) | |||||||
\(168\) | 10.3023 | − | 6.03588i | 0.794836 | − | 0.465679i | ||||
\(169\) | −12.3212 | + | 4.14587i | −0.947784 | + | 0.318913i | ||||
\(170\) | 1.01046 | − | 1.75017i | 0.0774987 | − | 0.134232i | ||||
\(171\) | −9.61325 | + | 9.61325i | −0.735144 | + | 0.735144i | ||||
\(172\) | −9.25614 | −0.705774 | ||||||||
\(173\) | 18.9474 | 1.44054 | 0.720272 | − | 0.693692i | \(-0.244017\pi\) | ||||
0.720272 | + | 0.693692i | \(0.244017\pi\) | |||||||
\(174\) | −4.68269 | + | 4.68269i | −0.354993 | + | 0.354993i | ||||
\(175\) | −5.57045 | − | 20.2715i | −0.421087 | − | 1.53238i | ||||
\(176\) | 5.33888 | + | 1.43055i | 0.402433 | + | 0.107832i | ||||
\(177\) | −7.23469 | − | 27.0002i | −0.543792 | − | 2.02946i | ||||
\(178\) | −4.23837 | − | 2.44703i | −0.317680 | − | 0.183412i | ||||
\(179\) | 11.8636i | 0.886725i | 0.896342 | + | 0.443363i | \(0.146215\pi\) | ||||
−0.896342 | + | 0.443363i | \(0.853785\pi\) | |||||||
\(180\) | −4.88467 | + | 18.2299i | −0.364082 | + | 1.35877i | ||||
\(181\) | −10.2064 | −0.758635 | −0.379317 | − | 0.925267i | \(-0.623841\pi\) | ||||
−0.379317 | + | 0.925267i | \(0.623841\pi\) | |||||||
\(182\) | −1.62733 | + | 4.39071i | −0.120626 | + | 0.325461i | ||||
\(183\) | −23.1604 | −1.71207 | ||||||||
\(184\) | 0.707929 | − | 2.64203i | 0.0521892 | − | 0.194773i | ||||
\(185\) | − | 9.73186i | − | 0.715501i | ||||||
\(186\) | 6.30371 | + | 3.63945i | 0.462210 | + | 0.266857i | ||||
\(187\) | −0.626598 | − | 2.33849i | −0.0458213 | − | 0.171008i | ||||
\(188\) | −11.4661 | − | 3.07232i | −0.836249 | − | 0.224072i | ||||
\(189\) | −0.113247 | − | 0.0295721i | −0.00823750 | − | 0.00215105i | ||||
\(190\) | 5.69386 | − | 5.69386i | 0.413076 | − | 0.413076i | ||||
\(191\) | −5.97148 | −0.432081 | −0.216040 | − | 0.976384i | \(-0.569314\pi\) | ||||
−0.216040 | + | 0.976384i | \(0.569314\pi\) | |||||||
\(192\) | −6.80850 | −0.491361 | ||||||||
\(193\) | −0.709662 | + | 0.709662i | −0.0510826 | + | 0.0510826i | −0.732187 | − | 0.681104i | \(-0.761500\pi\) |
0.681104 | + | 0.732187i | \(0.261500\pi\) | |||||||
\(194\) | −3.34549 | + | 5.79456i | −0.240192 | + | 0.416025i | ||||
\(195\) | −13.0563 | − | 28.9184i | −0.934981 | − | 2.07089i | ||||
\(196\) | −6.29210 | − | 10.5843i | −0.449436 | − | 0.756023i | ||||
\(197\) | −4.08621 | + | 1.09490i | −0.291130 | + | 0.0780081i | −0.401428 | − | 0.915890i | \(-0.631486\pi\) |
0.110298 | + | 0.993899i | \(0.464819\pi\) | |||||||
\(198\) | −1.54847 | − | 2.68204i | −0.110045 | − | 0.190604i | ||||
\(199\) | −7.52706 | + | 13.0372i | −0.533579 | + | 0.924186i | 0.465652 | + | 0.884968i | \(0.345820\pi\) |
−0.999231 | + | 0.0392178i | \(0.987513\pi\) | |||||||
\(200\) | 3.79475 | − | 14.1622i | 0.268329 | − | 1.00142i | ||||
\(201\) | −13.3187 | + | 13.3187i | −0.939427 | + | 0.939427i | ||||
\(202\) | −1.23782 | + | 4.61959i | −0.0870924 | + | 0.325033i | ||||
\(203\) | 10.3851 | + | 10.2535i | 0.728890 | + | 0.719657i | ||||
\(204\) | 2.46142 | + | 4.26330i | 0.172334 | + | 0.298491i | ||||
\(205\) | 14.6719 | − | 8.47082i | 1.02473 | − | 0.591628i | ||||
\(206\) | 4.29262 | + | 4.29262i | 0.299081 | + | 0.299081i | ||||
\(207\) | 3.82804 | − | 2.21012i | 0.266067 | − | 0.153614i | ||||
\(208\) | 7.28892 | − | 5.96561i | 0.505395 | − | 0.413641i | ||||
\(209\) | − | 9.64640i | − | 0.667255i | ||||||
\(210\) | −11.0580 | − | 2.88757i | −0.763074 | − | 0.199261i | ||||
\(211\) | 12.3556 | − | 21.4005i | 0.850592 | − | 1.47327i | −0.0300832 | − | 0.999547i | \(-0.509577\pi\) |
0.880675 | − | 0.473721i | \(-0.157089\pi\) | |||||||
\(212\) | − | 6.13518i | − | 0.421366i | ||||||
\(213\) | 15.9536 | + | 4.27474i | 1.09312 | + | 0.292900i | ||||
\(214\) | −3.88188 | + | 1.04015i | −0.265360 | + | 0.0711030i | ||||
\(215\) | 13.3876 | + | 13.3876i | 0.913028 | + | 0.913028i | ||||
\(216\) | −0.0577203 | − | 0.0577203i | −0.00392737 | − | 0.00392737i | ||||
\(217\) | 7.93177 | − | 13.9427i | 0.538444 | − | 0.946492i | ||||
\(218\) | 1.26672 | + | 0.731339i | 0.0857929 | + | 0.0495325i | ||||
\(219\) | 13.3774 | + | 3.58445i | 0.903958 | + | 0.242215i | ||||
\(220\) | −6.69560 | − | 11.5971i | −0.451417 | − | 0.781877i | ||||
\(221\) | −3.85925 | − | 1.45840i | −0.259601 | − | 0.0981024i | ||||
\(222\) | −2.81219 | − | 1.62362i | −0.188742 | − | 0.108970i | ||||
\(223\) | −0.193376 | − | 0.721689i | −0.0129494 | − | 0.0483279i | 0.959149 | − | 0.282902i | \(-0.0912971\pi\) |
−0.972098 | + | 0.234574i | \(0.924630\pi\) | |||||||
\(224\) | −0.0838535 | − | 13.1563i | −0.00560270 | − | 0.879042i | ||||
\(225\) | 20.5197 | − | 11.8470i | 1.36798 | − | 0.789802i | ||||
\(226\) | 7.77496 | − | 2.08329i | 0.517183 | − | 0.138579i | ||||
\(227\) | 2.68443 | + | 10.0184i | 0.178172 | + | 0.664946i | 0.995990 | + | 0.0894687i | \(0.0285169\pi\) |
−0.817818 | + | 0.575477i | \(0.804816\pi\) | |||||||
\(228\) | 5.07674 | + | 18.9466i | 0.336215 | + | 1.25477i | ||||
\(229\) | 1.65915 | − | 0.444567i | 0.109639 | − | 0.0293778i | −0.203582 | − | 0.979058i | \(-0.565258\pi\) |
0.313222 | + | 0.949680i | \(0.398592\pi\) | |||||||
\(230\) | −2.26732 | + | 1.30904i | −0.149503 | + | 0.0863154i | ||||
\(231\) | −11.8131 | + | 6.92107i | −0.777246 | + | 0.455373i | ||||
\(232\) | 2.63429 | + | 9.83132i | 0.172950 | + | 0.645458i | ||||
\(233\) | −7.19720 | − | 4.15531i | −0.471504 | − | 0.272223i | 0.245365 | − | 0.969431i | \(-0.421092\pi\) |
−0.716869 | + | 0.697208i | \(0.754426\pi\) | |||||||
\(234\) | −5.25143 | − | 0.524291i | −0.343297 | − | 0.0342740i | ||||
\(235\) | 12.1403 | + | 21.0276i | 0.791946 | + | 1.37169i | ||||
\(236\) | −19.4189 | − | 5.20328i | −1.26406 | − | 0.338705i | ||||
\(237\) | 25.0430 | + | 14.4586i | 1.62672 | + | 0.939185i | ||||
\(238\) | −1.28219 | + | 0.751209i | −0.0831120 | + | 0.0486936i | ||||
\(239\) | 5.13978 | + | 5.13978i | 0.332465 | + | 0.332465i | 0.853522 | − | 0.521057i | \(-0.174462\pi\) |
−0.521057 | + | 0.853522i | \(0.674462\pi\) | |||||||
\(240\) | 16.2556 | + | 16.2556i | 1.04929 | + | 1.04929i | ||||
\(241\) | 7.48614 | − | 2.00591i | 0.482225 | − | 0.129212i | −0.00951360 | − | 0.999955i | \(-0.503028\pi\) |
0.491738 | + | 0.870743i | \(0.336362\pi\) | |||||||
\(242\) | −3.09301 | − | 0.828770i | −0.198826 | − | 0.0532753i | ||||
\(243\) | − | 22.0114i | − | 1.41203i | ||||||
\(244\) | −8.32864 | + | 14.4256i | −0.533187 | + | 0.923507i | ||||
\(245\) | −6.20806 | + | 24.4092i | −0.396619 | + | 1.55945i | ||||
\(246\) | − | 5.65293i | − | 0.360418i | ||||||
\(247\) | −13.3492 | − | 9.59286i | −0.849389 | − | 0.610379i | ||||
\(248\) | 9.68845 | − | 5.59363i | 0.615217 | − | 0.355196i | ||||
\(249\) | −12.3950 | − | 12.3950i | −0.785503 | − | 0.785503i | ||||
\(250\) | −4.50592 | + | 2.60149i | −0.284979 | + | 0.164533i | ||||
\(251\) | 1.76122 | + | 3.05052i | 0.111167 | + | 0.192547i | 0.916241 | − | 0.400627i | \(-0.131208\pi\) |
−0.805074 | + | 0.593174i | \(0.797874\pi\) | |||||||
\(252\) | 9.75037 | − | 9.87546i | 0.614216 | − | 0.622095i | ||||
\(253\) | −0.811749 | + | 3.02949i | −0.0510343 | + | 0.190462i | ||||
\(254\) | −2.97294 | + | 2.97294i | −0.186539 | + | 0.186539i | ||||
\(255\) | 2.60616 | − | 9.72631i | 0.163204 | − | 0.609085i | ||||
\(256\) | −0.00743845 | + | 0.0128838i | −0.000464903 | + | 0.000805236i | ||||
\(257\) | 5.42573 | + | 9.39764i | 0.338448 | + | 0.586209i | 0.984141 | − | 0.177388i | \(-0.0567648\pi\) |
−0.645693 | + | 0.763597i | \(0.723431\pi\) | |||||||
\(258\) | 6.10211 | − | 1.63506i | 0.379901 | − | 0.101794i | ||||
\(259\) | −3.53850 | + | 6.22007i | −0.219871 | + | 0.386497i | ||||
\(260\) | −22.7071 | − | 2.26703i | −1.40824 | − | 0.140595i | ||||
\(261\) | −8.22414 | + | 14.2446i | −0.509061 | + | 0.881720i | ||||
\(262\) | −5.09766 | + | 5.09766i | −0.314935 | + | 0.314935i | ||||
\(263\) | −4.69913 | −0.289761 | −0.144881 | − | 0.989449i | \(-0.546280\pi\) | ||||
−0.144881 | + | 0.989449i | \(0.546280\pi\) | |||||||
\(264\) | −9.54855 | −0.587672 | ||||||||
\(265\) | −8.87362 | + | 8.87362i | −0.545102 | + | 0.545102i | ||||
\(266\) | −5.70948 | + | 1.56892i | −0.350071 | + | 0.0961967i | ||||
\(267\) | −23.5542 | − | 6.31132i | −1.44149 | − | 0.386247i | ||||
\(268\) | 3.50615 | + | 13.0851i | 0.214172 | + | 0.799301i | ||||
\(269\) | −22.2662 | − | 12.8554i | −1.35760 | − | 0.783809i | −0.368298 | − | 0.929708i | \(-0.620059\pi\) |
−0.989299 | + | 0.145899i | \(0.953393\pi\) | |||||||
\(270\) | 0.0781326i | 0.00475500i | ||||||||
\(271\) | −0.343245 | + | 1.28101i | −0.0208506 | + | 0.0778156i | −0.975567 | − | 0.219701i | \(-0.929492\pi\) |
0.954717 | + | 0.297517i | \(0.0961584\pi\) | |||||||
\(272\) | 2.98916 | 0.181244 | ||||||||
\(273\) | −2.16982 | + | 23.2303i | −0.131323 | + | 1.40596i | ||||
\(274\) | −1.11691 | −0.0674749 | ||||||||
\(275\) | −4.35126 | + | 16.2391i | −0.262391 | + | 0.979257i | ||||
\(276\) | − | 6.37748i | − | 0.383879i | ||||||
\(277\) | −0.157067 | − | 0.0906826i | −0.00943723 | − | 0.00544859i | 0.495274 | − | 0.868737i | \(-0.335068\pi\) |
−0.504711 | + | 0.863288i | \(0.668401\pi\) | |||||||
\(278\) | 0.620887 | + | 2.31718i | 0.0372383 | + | 0.138975i | ||||
\(279\) | 17.4630 | + | 4.67921i | 1.04548 | + | 0.280137i | ||||
\(280\) | −12.3412 | + | 12.4995i | −0.737528 | + | 0.746990i | ||||
\(281\) | 5.50563 | − | 5.50563i | 0.328439 | − | 0.328439i | −0.523554 | − | 0.851993i | \(-0.675394\pi\) |
0.851993 | + | 0.523554i | \(0.175394\pi\) | |||||||
\(282\) | 8.10173 | 0.482451 | ||||||||
\(283\) | −7.30850 | −0.434445 | −0.217223 | − | 0.976122i | \(-0.569700\pi\) | ||||
−0.217223 | + | 0.976122i | \(0.569700\pi\) | |||||||
\(284\) | 8.39956 | − | 8.39956i | 0.498422 | − | 0.498422i | ||||
\(285\) | 20.0607 | − | 34.7462i | 1.18830 | − | 2.05819i | ||||
\(286\) | 2.89782 | − | 2.37172i | 0.171351 | − | 0.140243i | ||||
\(287\) | −12.4575 | + | 0.0793994i | −0.735340 | + | 0.00468680i | ||||
\(288\) | 14.3229 | − | 3.83782i | 0.843987 | − | 0.226146i | ||||
\(289\) | 7.84536 | + | 13.5886i | 0.461492 | + | 0.799327i | ||||
\(290\) | 4.87109 | − | 8.43698i | 0.286040 | − | 0.495437i | ||||
\(291\) | −8.62863 | + | 32.2025i | −0.505819 | + | 1.88774i | ||||
\(292\) | 7.04319 | − | 7.04319i | 0.412172 | − | 0.412172i | ||||
\(293\) | 8.30804 | − | 31.0060i | 0.485361 | − | 1.81139i | −0.0930708 | − | 0.995659i | \(-0.529668\pi\) |
0.578431 | − | 0.815731i | \(-0.303665\pi\) | |||||||
\(294\) | 6.01774 | + | 5.86625i | 0.350962 | + | 0.342127i | ||||
\(295\) | 20.5608 | + | 35.6123i | 1.19710 | + | 2.07343i | ||||
\(296\) | −4.32218 | + | 2.49541i | −0.251221 | + | 0.145043i | ||||
\(297\) | 0.0661852 | + | 0.0661852i | 0.00384045 | + | 0.00384045i | ||||
\(298\) | −1.17790 | + | 0.680061i | −0.0682339 | + | 0.0393949i | ||||
\(299\) | 3.38513 | + | 4.13602i | 0.195767 | + | 0.239192i | ||||
\(300\) | − | 34.1855i | − | 1.97370i | ||||||
\(301\) | −3.68891 | − | 13.4244i | −0.212625 | − | 0.773767i | ||||
\(302\) | 1.54963 | − | 2.68403i | 0.0891709 | − | 0.154449i | ||||
\(303\) | 23.8295i | 1.36897i | ||||||||
\(304\) | 11.5044 | + | 3.08261i | 0.659825 | + | 0.176800i | ||||
\(305\) | 32.9107 | − | 8.81839i | 1.88446 | − | 0.504939i | ||||
\(306\) | −1.18430 | − | 1.18430i | −0.0677020 | − | 0.0677020i | ||||
\(307\) | −9.65602 | − | 9.65602i | −0.551098 | − | 0.551098i | 0.375659 | − | 0.926758i | \(-0.377416\pi\) |
−0.926758 | + | 0.375659i | \(0.877416\pi\) | |||||||
\(308\) | 0.0627597 | + | 9.84675i | 0.00357606 | + | 0.561071i | ||||
\(309\) | 26.1953 | + | 15.1239i | 1.49020 | + | 0.860368i | ||||
\(310\) | −10.3432 | − | 2.77146i | −0.587456 | − | 0.157408i | ||||
\(311\) | 8.29369 | + | 14.3651i | 0.470292 | + | 0.814570i | 0.999423 | − | 0.0339706i | \(-0.0108153\pi\) |
−0.529131 | + | 0.848540i | \(0.677482\pi\) | |||||||
\(312\) | −9.49556 | + | 13.2138i | −0.537580 | + | 0.748083i | ||||
\(313\) | −8.06261 | − | 4.65495i | −0.455725 | − | 0.263113i | 0.254520 | − | 0.967068i | \(-0.418083\pi\) |
−0.710245 | + | 0.703954i | \(0.751416\pi\) | |||||||
\(314\) | −0.242514 | − | 0.905076i | −0.0136859 | − | 0.0510764i | ||||
\(315\) | −28.3858 | + | 0.180921i | −1.59936 | + | 0.0101938i | ||||
\(316\) | 18.0112 | − | 10.3988i | 1.01321 | − | 0.584978i | ||||
\(317\) | −32.0131 | + | 8.57788i | −1.79803 | + | 0.481782i | −0.993668 | − | 0.112353i | \(-0.964161\pi\) |
−0.804365 | + | 0.594135i | \(0.797495\pi\) | |||||||
\(318\) | 1.08375 | + | 4.04462i | 0.0607738 | + | 0.226811i | ||||
\(319\) | −3.02062 | − | 11.2731i | −0.169122 | − | 0.631173i | ||||
\(320\) | 9.67479 | − | 2.59235i | 0.540837 | − | 0.144917i | ||||
\(321\) | −17.3414 | + | 10.0121i | −0.967904 | + | 0.558820i | ||||
\(322\) | 1.92511 | − | 0.0122700i | 0.107282 | − | 0.000683779i | ||||
\(323\) | −1.35022 | − | 5.03909i | −0.0751282 | − | 0.280382i | ||||
\(324\) | −13.7926 | − | 7.96316i | −0.766255 | − | 0.442398i | ||||
\(325\) | 18.1455 | + | 22.1705i | 1.00653 | + | 1.22980i | ||||
\(326\) | 1.51510 | + | 2.62423i | 0.0839136 | + | 0.145343i | ||||
\(327\) | 7.03960 | + | 1.88626i | 0.389291 | + | 0.104310i | ||||
\(328\) | −7.52423 | − | 4.34412i | −0.415456 | − | 0.239864i | ||||
\(329\) | −0.113794 | − | 17.8539i | −0.00627369 | − | 0.984318i | ||||
\(330\) | 6.46265 | + | 6.46265i | 0.355757 | + | 0.355757i | ||||
\(331\) | −16.6506 | − | 16.6506i | −0.915197 | − | 0.915197i | 0.0814779 | − | 0.996675i | \(-0.474036\pi\) |
−0.996675 | + | 0.0814779i | \(0.974036\pi\) | |||||||
\(332\) | −12.1777 | + | 3.26300i | −0.668336 | + | 0.179080i | ||||
\(333\) | −7.79055 | − | 2.08747i | −0.426920 | − | 0.114393i | ||||
\(334\) | − | 1.07665i | − | 0.0589117i | ||||||
\(335\) | 13.8546 | − | 23.9968i | 0.756955 | − | 1.31109i | ||||
\(336\) | −4.47917 | − | 16.3002i | −0.244359 | − | 0.889249i | ||||
\(337\) | − | 24.5958i | − | 1.33982i | −0.742442 | − | 0.669911i | \(-0.766332\pi\) | ||
0.742442 | − | 0.669911i | \(-0.233668\pi\) | |||||||
\(338\) | −0.400374 | − | 6.36871i | −0.0217775 | − | 0.346412i | ||||
\(339\) | 34.7329 | − | 20.0530i | 1.88643 | − | 1.08913i | ||||
\(340\) | −5.12091 | − | 5.12091i | −0.277720 | − | 0.277720i | ||||
\(341\) | −11.1093 | + | 6.41395i | −0.601602 | + | 0.347335i | ||||
\(342\) | −3.33672 | − | 5.77937i | −0.180429 | − | 0.312512i | ||||
\(343\) | 12.8430 | − | 13.3438i | 0.693458 | − | 0.720497i | ||||
\(344\) | 2.51299 | − | 9.37860i | 0.135491 | − | 0.505660i | ||||
\(345\) | −9.22407 | + | 9.22407i | −0.496607 | + | 0.496607i | ||||
\(346\) | −2.40719 | + | 8.98376i | −0.129411 | + | 0.482970i | ||||
\(347\) | 16.6796 | − | 28.8899i | 0.895406 | − | 1.55089i | 0.0621044 | − | 0.998070i | \(-0.480219\pi\) |
0.833301 | − | 0.552819i | \(-0.186448\pi\) | |||||||
\(348\) | 11.8657 | + | 20.5520i | 0.636068 | + | 1.10170i | ||||
\(349\) | −5.28189 | + | 1.41528i | −0.282733 | + | 0.0757580i | −0.397399 | − | 0.917646i | \(-0.630087\pi\) |
0.114666 | + | 0.993404i | \(0.463420\pi\) | |||||||
\(350\) | 10.3193 | − | 0.0657714i | 0.551589 | − | 0.00351563i | ||||
\(351\) | 0.157409 | − | 0.0257727i | 0.00840184 | − | 0.00137564i | ||||
\(352\) | −5.26063 | + | 9.11168i | −0.280393 | + | 0.485654i | ||||
\(353\) | 3.12499 | − | 3.12499i | 0.166326 | − | 0.166326i | −0.619036 | − | 0.785362i | \(-0.712477\pi\) |
0.785362 | + | 0.619036i | \(0.212477\pi\) | |||||||
\(354\) | 13.7211 | 0.729267 | ||||||||
\(355\) | −24.2974 | −1.28957 | ||||||||
\(356\) | −12.4013 | + | 12.4013i | −0.657267 | + | 0.657267i | ||||
\(357\) | −5.20219 | + | 5.26893i | −0.275329 | + | 0.278861i | ||||
\(358\) | −5.62502 | − | 1.50722i | −0.297291 | − | 0.0796590i | ||||
\(359\) | 7.18738 | + | 26.8237i | 0.379335 | + | 1.41570i | 0.846906 | + | 0.531743i | \(0.178463\pi\) |
−0.467570 | + | 0.883956i | \(0.654871\pi\) | |||||||
\(360\) | −17.1449 | − | 9.89860i | −0.903615 | − | 0.521702i | ||||
\(361\) | − | 1.78647i | − | 0.0940247i | ||||||
\(362\) | 1.29668 | − | 4.83927i | 0.0681520 | − | 0.254347i | ||||
\(363\) | −15.9549 | −0.837413 | ||||||||
\(364\) | 13.6889 | + | 9.70525i | 0.717492 | + | 0.508693i | ||||
\(365\) | −20.3739 | −1.06642 | ||||||||
\(366\) | 2.94244 | − | 10.9813i | 0.153804 | − | 0.574003i | ||||
\(367\) | 16.8497i | 0.879548i | 0.898108 | + | 0.439774i | \(0.144942\pi\) | ||||
−0.898108 | + | 0.439774i | \(0.855058\pi\) | |||||||
\(368\) | −3.35361 | − | 1.93621i | −0.174819 | − | 0.100932i | ||||
\(369\) | −3.63396 | − | 13.5621i | −0.189176 | − | 0.706016i | ||||
\(370\) | 4.61428 | + | 1.23639i | 0.239885 | + | 0.0642770i | ||||
\(371\) | 8.89797 | − | 2.44509i | 0.461960 | − | 0.126943i | ||||
\(372\) | 18.4444 | − | 18.4444i | 0.956296 | − | 0.956296i | ||||
\(373\) | 2.78290 | 0.144093 | 0.0720466 | − | 0.997401i | \(-0.477047\pi\) | ||||
0.0720466 | + | 0.997401i | \(0.477047\pi\) | |||||||
\(374\) | 1.18838 | 0.0614499 | ||||||||
\(375\) | −18.3313 | + | 18.3313i | −0.946624 | + | 0.946624i | ||||
\(376\) | 6.22595 | − | 10.7837i | 0.321079 | − | 0.556125i | ||||
\(377\) | −18.6042 | − | 7.03046i | −0.958165 | − | 0.362087i | ||||
\(378\) | 0.0284089 | − | 0.0499381i | 0.00146120 | − | 0.00256854i | ||||
\(379\) | 0.734071 | − | 0.196694i | 0.0377067 | − | 0.0101035i | −0.239916 | − | 0.970794i | \(-0.577120\pi\) |
0.277623 | + | 0.960690i | \(0.410453\pi\) | |||||||
\(380\) | −14.4280 | − | 24.9900i | −0.740139 | − | 1.28196i | ||||
\(381\) | −10.4743 | + | 18.1421i | −0.536617 | + | 0.929448i | ||||
\(382\) | 0.758652 | − | 2.83133i | 0.0388160 | − | 0.144863i | ||||
\(383\) | −22.2495 | + | 22.2495i | −1.13690 | + | 1.13690i | −0.147895 | + | 0.989003i | \(0.547250\pi\) |
−0.989003 | + | 0.147895i | \(0.952750\pi\) | |||||||
\(384\) | 7.16063 | − | 26.7238i | 0.365414 | − | 1.36374i | ||||
\(385\) | 14.1511 | − | 14.3326i | 0.721206 | − | 0.730458i | ||||
\(386\) | −0.246321 | − | 0.426640i | −0.0125374 | − | 0.0217154i | ||||
\(387\) | 13.5887 | − | 7.84543i | 0.690752 | − | 0.398806i | ||||
\(388\) | 16.9546 | + | 16.9546i | 0.860741 | + | 0.860741i | ||||
\(389\) | 23.4348 | − | 13.5301i | 1.18819 | − | 0.686003i | 0.230297 | − | 0.973120i | \(-0.426030\pi\) |
0.957895 | + | 0.287118i | \(0.0926970\pi\) | |||||||
\(390\) | 15.3702 | − | 2.51658i | 0.778298 | − | 0.127432i | ||||
\(391\) | 1.69617i | 0.0857789i | ||||||||
\(392\) | 12.4326 | − | 3.50176i | 0.627943 | − | 0.176866i | ||||
\(393\) | −17.9602 | + | 31.1080i | −0.905973 | + | 1.56919i | ||||
\(394\) | − | 2.07654i | − | 0.104615i | ||||||
\(395\) | −41.0909 | − | 11.0103i | −2.06751 | − | 0.553987i | ||||
\(396\) | −10.7199 | + | 2.87239i | −0.538696 | + | 0.144343i | ||||
\(397\) | 0.161422 | + | 0.161422i | 0.00810155 | + | 0.00810155i | 0.711146 | − | 0.703044i | \(-0.248176\pi\) |
−0.703044 | + | 0.711146i | \(0.748176\pi\) | |||||||
\(398\) | −5.22522 | − | 5.22522i | −0.261917 | − | 0.261917i | ||||
\(399\) | −25.4554 | + | 14.9138i | −1.27436 | + | 0.746625i | ||||
\(400\) | −17.9766 | − | 10.3788i | −0.898828 | − | 0.518939i | ||||
\(401\) | 24.8210 | + | 6.65077i | 1.23950 | + | 0.332124i | 0.818273 | − | 0.574830i | \(-0.194932\pi\) |
0.421230 | + | 0.906954i | \(0.361599\pi\) | |||||||
\(402\) | −4.62286 | − | 8.00703i | −0.230567 | − | 0.399354i | ||||
\(403\) | −2.17167 | + | 21.7520i | −0.108179 | + | 1.08354i | ||||
\(404\) | 14.8424 | + | 8.56925i | 0.738436 | + | 0.426336i | ||||
\(405\) | 8.43141 | + | 31.4664i | 0.418960 | + | 1.56358i | ||||
\(406\) | −6.18101 | + | 3.62133i | −0.306759 | + | 0.179724i | ||||
\(407\) | 4.95604 | − | 2.86137i | 0.245662 | − | 0.141833i | ||||
\(408\) | −4.98797 | + | 1.33652i | −0.246941 | + | 0.0661678i | ||||
\(409\) | −7.72535 | − | 28.8314i | −0.381994 | − | 1.42562i | −0.842851 | − | 0.538147i | \(-0.819124\pi\) |
0.460857 | − | 0.887475i | \(-0.347542\pi\) | |||||||
\(410\) | 2.15237 | + | 8.03274i | 0.106298 | + | 0.396709i | ||||
\(411\) | −5.37547 | + | 1.44035i | −0.265153 | + | 0.0710474i | ||||
\(412\) | 18.8400 | − | 10.8773i | 0.928182 | − | 0.535886i | ||||
\(413\) | −0.192722 | − | 30.2373i | −0.00948323 | − | 1.48788i | ||||
\(414\) | 0.561574 | + | 2.09582i | 0.0275998 | + | 0.103004i | ||||
\(415\) | 22.3326 | + | 12.8937i | 1.09627 | + | 0.632929i | ||||
\(416\) | 7.37779 | + | 16.3411i | 0.361726 | + | 0.801186i | ||||
\(417\) | 5.97643 | + | 10.3515i | 0.292667 | + | 0.506914i | ||||
\(418\) | 4.57376 | + | 1.22554i | 0.223710 | + | 0.0599429i | ||||
\(419\) | −7.72615 | − | 4.46069i | −0.377447 | − | 0.217919i | 0.299260 | − | 0.954172i | \(-0.403260\pi\) |
−0.676707 | + | 0.736253i | \(0.736594\pi\) | |||||||
\(420\) | −20.2513 | + | 35.5984i | −0.988164 | + | 1.73702i | ||||
\(421\) | 18.1408 | + | 18.1408i | 0.884130 | + | 0.884130i | 0.993951 | − | 0.109821i | \(-0.0350278\pi\) |
−0.109821 | + | 0.993951i | \(0.535028\pi\) | |||||||
\(422\) | 8.57713 | + | 8.57713i | 0.417528 | + | 0.417528i | ||||
\(423\) | 19.4371 | − | 5.20816i | 0.945065 | − | 0.253229i | ||||
\(424\) | 6.21635 | + | 1.66567i | 0.301893 | + | 0.0808919i | ||||
\(425\) | 9.09206i | 0.441030i | ||||||||
\(426\) | −4.05367 | + | 7.02116i | −0.196401 | + | 0.340176i | ||||
\(427\) | −24.2411 | − | 6.33006i | −1.17311 | − | 0.306333i | ||||
\(428\) | 14.4016i | 0.696130i | ||||||||
\(429\) | 10.8881 | − | 15.1516i | 0.525683 | − | 0.731528i | ||||
\(430\) | −8.04848 | + | 4.64679i | −0.388132 | + | 0.224088i | ||||
\(431\) | −8.32071 | − | 8.32071i | −0.400795 | − | 0.400795i | 0.477718 | − | 0.878513i | \(-0.341464\pi\) |
−0.878513 | + | 0.477718i | \(0.841464\pi\) | |||||||
\(432\) | −0.100084 | + | 0.0577833i | −0.00481528 | + | 0.00278010i | ||||
\(433\) | −6.26407 | − | 10.8497i | −0.301032 | − | 0.521403i | 0.675338 | − | 0.737508i | \(-0.263998\pi\) |
−0.976370 | + | 0.216106i | \(0.930664\pi\) | |||||||
\(434\) | 5.60312 | + | 5.53215i | 0.268958 | + | 0.265552i | ||||
\(435\) | 12.5634 | − | 46.8874i | 0.602370 | − | 2.24808i | ||||
\(436\) | 3.70636 | − | 3.70636i | 0.177502 | − | 0.177502i | ||||
\(437\) | −1.74919 | + | 6.52808i | −0.0836752 | + | 0.312280i | ||||
\(438\) | −3.39908 | + | 5.88738i | −0.162414 | + | 0.281310i | ||||
\(439\) | 8.88189 | + | 15.3839i | 0.423910 | + | 0.734233i | 0.996318 | − | 0.0857358i | \(-0.0273241\pi\) |
−0.572408 | + | 0.819969i | \(0.693991\pi\) | |||||||
\(440\) | 13.5684 | − | 3.63563i | 0.646847 | − | 0.173322i | ||||
\(441\) | 18.2084 | + | 10.2054i | 0.867069 | + | 0.485973i | ||||
\(442\) | 1.18179 | − | 1.64455i | 0.0562120 | − | 0.0782233i | ||||
\(443\) | 3.34945 | − | 5.80142i | 0.159137 | − | 0.275634i | −0.775421 | − | 0.631445i | \(-0.782462\pi\) |
0.934558 | + | 0.355811i | \(0.115795\pi\) | |||||||
\(444\) | −8.22834 | + | 8.22834i | −0.390500 | + | 0.390500i | ||||
\(445\) | 35.8732 | 1.70056 | ||||||||
\(446\) | 0.366750 | 0.0173661 | ||||||||
\(447\) | −4.79202 | + | 4.79202i | −0.226655 | + | 0.226655i | ||||
\(448\) | −7.12617 | − | 1.86085i | −0.336680 | − | 0.0879171i | ||||
\(449\) | 22.8700 | + | 6.12801i | 1.07930 | + | 0.289199i | 0.754311 | − | 0.656518i | \(-0.227971\pi\) |
0.324993 | + | 0.945716i | \(0.394638\pi\) | |||||||
\(450\) | 3.01023 | + | 11.2343i | 0.141904 | + | 0.529592i | ||||
\(451\) | 8.62769 | + | 4.98120i | 0.406262 | + | 0.234555i | ||||
\(452\) | − | 28.8448i | − | 1.35675i | ||||||
\(453\) | 3.99676 | − | 14.9161i | 0.187784 | − | 0.700821i | ||||
\(454\) | −5.09120 | −0.238942 | ||||||||
\(455\) | −5.76170 | − | 33.8361i | −0.270113 | − | 1.58626i | ||||
\(456\) | −20.5756 | −0.963542 | ||||||||
\(457\) | −8.26591 | + | 30.8488i | −0.386663 | + | 1.44305i | 0.448865 | + | 0.893599i | \(0.351828\pi\) |
−0.835528 | + | 0.549447i | \(0.814838\pi\) | |||||||
\(458\) | 0.843151i | 0.0393978i | ||||||||
\(459\) | 0.0438379 | + | 0.0253098i | 0.00204618 | + | 0.00118136i | ||||
\(460\) | 2.42824 | + | 9.06232i | 0.113217 | + | 0.422533i | ||||
\(461\) | 36.7537 | + | 9.84812i | 1.71179 | + | 0.458673i | 0.975862 | − | 0.218388i | \(-0.0700798\pi\) |
0.735927 | + | 0.677060i | \(0.236746\pi\) | |||||||
\(462\) | −1.78076 | − | 6.48039i | −0.0828484 | − | 0.301495i | ||||
\(463\) | −9.11397 | + | 9.11397i | −0.423562 | + | 0.423562i | −0.886428 | − | 0.462866i | \(-0.846821\pi\) |
0.462866 | + | 0.886428i | \(0.346821\pi\) | |||||||
\(464\) | 14.4098 | 0.668956 | ||||||||
\(465\) | −53.3541 | −2.47424 | ||||||||
\(466\) | 2.88458 | − | 2.88458i | 0.133626 | − | 0.133626i | ||||
\(467\) | −8.92031 | + | 15.4504i | −0.412783 | + | 0.714960i | −0.995193 | − | 0.0979345i | \(-0.968776\pi\) |
0.582410 | + | 0.812895i | \(0.302110\pi\) | |||||||
\(468\) | −6.68545 | + | 17.6912i | −0.309035 | + | 0.817778i | ||||
\(469\) | −17.5803 | + | 10.2999i | −0.811782 | + | 0.475607i | ||||
\(470\) | −11.5125 | + | 3.08475i | −0.531030 | + | 0.142289i | ||||
\(471\) | −2.33435 | − | 4.04322i | −0.107561 | − | 0.186302i | ||||
\(472\) | 10.5443 | − | 18.2632i | 0.485339 | − | 0.840631i | ||||
\(473\) | −2.88153 | + | 10.7540i | −0.132493 | + | 0.494470i | ||||
\(474\) | −10.0370 | + | 10.0370i | −0.461016 | + | 0.461016i | ||||
\(475\) | −9.37629 | + | 34.9928i | −0.430214 | + | 1.60558i | ||||
\(476\) | 1.41105 | + | 5.13496i | 0.0646752 | + | 0.235361i | ||||
\(477\) | 5.20013 | + | 9.00689i | 0.238098 | + | 0.412397i | ||||
\(478\) | −3.08997 | + | 1.78400i | −0.141332 | + | 0.0815981i | ||||
\(479\) | −6.49925 | − | 6.49925i | −0.296958 | − | 0.296958i | 0.542863 | − | 0.839821i | \(-0.317340\pi\) |
−0.839821 | + | 0.542863i | \(0.817340\pi\) | |||||||
\(480\) | −37.8975 | + | 21.8801i | −1.72978 | + | 0.998686i | ||||
\(481\) | 0.968819 | − | 9.70392i | 0.0441743 | − | 0.442461i | ||||
\(482\) | 3.80434i | 0.173283i | ||||||||
\(483\) | 9.24938 | − | 2.54166i | 0.420861 | − | 0.115649i | ||||
\(484\) | −5.73748 | + | 9.93760i | −0.260794 | + | 0.451709i | ||||
\(485\) | − | 49.0447i | − | 2.22701i | ||||||
\(486\) | 10.4365 | + | 2.79645i | 0.473409 | + | 0.126850i | ||||
\(487\) | −10.6869 | + | 2.86354i | −0.484269 | + | 0.129759i | −0.492690 | − | 0.870205i | \(-0.663986\pi\) |
0.00842076 | + | 0.999965i | \(0.497320\pi\) | |||||||
\(488\) | −12.3553 | − | 12.3553i | −0.559299 | − | 0.559299i | ||||
\(489\) | 10.6761 | + | 10.6761i | 0.482789 | + | 0.482789i | ||||
\(490\) | −10.7847 | − | 6.04460i | −0.487204 | − | 0.273067i | ||||
\(491\) | 2.45531 | + | 1.41757i | 0.110807 | + | 0.0639743i | 0.554379 | − | 0.832264i | \(-0.312956\pi\) |
−0.443572 | + | 0.896239i | \(0.646289\pi\) | |||||||
\(492\) | −19.5673 | − | 5.24304i | −0.882162 | − | 0.236375i | ||||
\(493\) | −3.15583 | − | 5.46605i | −0.142131 | − | 0.246179i | ||||
\(494\) | 6.24434 | − | 5.11068i | 0.280946 | − | 0.229940i | ||||
\(495\) | 19.6592 | + | 11.3503i | 0.883617 | + | 0.510157i | ||||
\(496\) | −4.09929 | − | 15.2988i | −0.184064 | − | 0.686935i | ||||
\(497\) | 15.5296 | + | 8.83452i | 0.696597 | + | 0.396282i | ||||
\(498\) | 7.45174 | − | 4.30226i | 0.333920 | − | 0.192789i | ||||
\(499\) | 37.0495 | − | 9.92738i | 1.65856 | − | 0.444411i | 0.696571 | − | 0.717488i | \(-0.254708\pi\) |
0.961992 | + | 0.273077i | \(0.0880413\pi\) | |||||||
\(500\) | 4.82572 | + | 18.0098i | 0.215813 | + | 0.805425i | ||||
\(501\) | −1.38844 | − | 5.18172i | −0.0620309 | − | 0.231502i | ||||
\(502\) | −1.67014 | + | 0.447511i | −0.0745418 | + | 0.0199734i | ||||
\(503\) | −25.0453 | + | 14.4599i | −1.11672 | + | 0.644736i | −0.940561 | − | 0.339626i | \(-0.889699\pi\) |
−0.176155 | + | 0.984362i | \(0.556366\pi\) | |||||||
\(504\) | 7.35895 | + | 12.5605i | 0.327794 | + | 0.559489i | ||||
\(505\) | −9.07314 | − | 33.8614i | −0.403750 | − | 1.50681i | ||||
\(506\) | −1.33328 | − | 0.769769i | −0.0592715 | − | 0.0342204i | ||||
\(507\) | −10.1400 | − | 30.1351i | −0.450331 | − | 1.33835i | ||||
\(508\) | 7.53329 | + | 13.0480i | 0.334236 | + | 0.578913i | ||||
\(509\) | 12.3628 | + | 3.31260i | 0.547972 | + | 0.146829i | 0.522175 | − | 0.852839i | \(-0.325121\pi\) |
0.0257972 | + | 0.999667i | \(0.491788\pi\) | |||||||
\(510\) | 4.28055 | + | 2.47138i | 0.189546 | + | 0.109434i | ||||
\(511\) | 13.0218 | + | 7.40791i | 0.576053 | + | 0.327707i | ||||
\(512\) | −16.0026 | − | 16.0026i | −0.707221 | − | 0.707221i | ||||
\(513\) | 0.142619 | + | 0.142619i | 0.00629677 | + | 0.00629677i | ||||
\(514\) | −5.14513 | + | 1.37863i | −0.226942 | + | 0.0608089i | ||||
\(515\) | −42.9817 | − | 11.5169i | −1.89400 | − | 0.507496i | ||||
\(516\) | − | 22.6386i | − | 0.996609i | ||||||
\(517\) | −7.13901 | + | 12.3651i | −0.313973 | + | 0.543817i | ||||
\(518\) | −2.49965 | − | 2.46798i | −0.109828 | − | 0.108437i | ||||
\(519\) | 46.3415i | 2.03416i | ||||||||
\(520\) | 8.46189 | − | 22.3921i | 0.371078 | − | 0.981958i | ||||
\(521\) | 13.9866 | − | 8.07515i | 0.612763 | − | 0.353779i | −0.161283 | − | 0.986908i | \(-0.551563\pi\) |
0.774046 | + | 0.633129i | \(0.218230\pi\) | |||||||
\(522\) | −5.70913 | − | 5.70913i | −0.249882 | − | 0.249882i | ||||
\(523\) | 31.2872 | − | 18.0636i | 1.36809 | − | 0.789868i | 0.377407 | − | 0.926047i | \(-0.376816\pi\) |
0.990684 | + | 0.136179i | \(0.0434823\pi\) | |||||||
\(524\) | 12.9172 | + | 22.3733i | 0.564292 | + | 0.977382i | ||||
\(525\) | 49.5800 | − | 13.6242i | 2.16385 | − | 0.594608i | ||||
\(526\) | 0.597006 | − | 2.22806i | 0.0260307 | − | 0.0971479i | ||||
\(527\) | −4.90550 | + | 4.90550i | −0.213687 | + | 0.213687i | ||||
\(528\) | −3.49883 | + | 13.0578i | −0.152267 | + | 0.568268i | ||||
\(529\) | −10.4013 | + | 18.0156i | −0.452231 | + | 0.783287i | ||||
\(530\) | −3.08000 | − | 5.33471i | −0.133787 | − | 0.231725i | ||||
\(531\) | 32.9187 | − | 8.82053i | 1.42855 | − | 0.382778i | ||||
\(532\) | 0.135237 | + | 21.2182i | 0.00586328 | + | 0.919925i | ||||
\(533\) | 15.4731 | − | 6.98590i | 0.670212 | − | 0.302593i | ||||
\(534\) | 5.98493 | − | 10.3662i | 0.258993 | − | 0.448589i | ||||
\(535\) | 20.8298 | − | 20.8298i | 0.900552 | − | 0.900552i | ||||
\(536\) | −14.2102 | −0.613785 | ||||||||
\(537\) | −29.0159 | −1.25213 | ||||||||
\(538\) | 8.92413 | − | 8.92413i | 0.384747 | − | 0.384747i | ||||
\(539\) | −14.2559 | + | 4.01531i | −0.614046 | + | 0.172952i | ||||
\(540\) | 0.270451 | + | 0.0724673i | 0.0116384 | + | 0.00311849i | ||||
\(541\) | −6.74062 | − | 25.1563i | −0.289802 | − | 1.08155i | −0.945259 | − | 0.326322i | \(-0.894191\pi\) |
0.655457 | − | 0.755233i | \(-0.272476\pi\) | |||||||
\(542\) | −0.563771 | − | 0.325493i | −0.0242160 | − | 0.0139811i | ||||
\(543\) | − | 24.9627i | − | 1.07125i | ||||||
\(544\) | −1.47268 | + | 5.49610i | −0.0631404 | + | 0.235643i | ||||
\(545\) | −10.7214 | −0.459254 | ||||||||
\(546\) | −10.7388 | − | 3.98011i | −0.459577 | − | 0.170333i | ||||
\(547\) | −21.3472 | −0.912739 | −0.456369 | − | 0.889790i | \(-0.650850\pi\) | ||||
−0.456369 | + | 0.889790i | \(0.650850\pi\) | |||||||
\(548\) | −1.03592 | + | 3.86611i | −0.0442524 | + | 0.165152i | ||||
\(549\) | − | 28.2372i | − | 1.20513i | ||||||
\(550\) | −7.14685 | − | 4.12623i | −0.304743 | − | 0.175943i | ||||
\(551\) | −6.50897 | − | 24.2918i | −0.277291 | − | 1.03487i | ||||
\(552\) | 6.46186 | + | 1.73145i | 0.275035 | + | 0.0736954i | ||||
\(553\) | 22.2597 | + | 21.9778i | 0.946579 | + | 0.934590i | ||||
\(554\) | 0.0629511 | − | 0.0629511i | 0.00267454 | − | 0.00267454i | ||||
\(555\) | 23.8021 | 1.01034 | ||||||||
\(556\) | 8.59666 | 0.364579 | ||||||||
\(557\) | −4.63838 | + | 4.63838i | −0.196534 | + | 0.196534i | −0.798513 | − | 0.601978i | \(-0.794379\pi\) |
0.601978 | + | 0.798513i | \(0.294379\pi\) | |||||||
\(558\) | −4.43721 | + | 7.68548i | −0.187842 | + | 0.325352i | ||||
\(559\) | 12.0164 | + | 14.6819i | 0.508241 | + | 0.620980i | ||||
\(560\) | 12.5712 | + | 21.4569i | 0.531230 | + | 0.906721i | ||||
\(561\) | 5.71948 | − | 1.53253i | 0.241476 | − | 0.0647034i | ||||
\(562\) | 1.91098 | + | 3.30992i | 0.0806100 | + | 0.139621i | ||||
\(563\) | −5.04580 | + | 8.73958i | −0.212655 | + | 0.368329i | −0.952545 | − | 0.304399i | \(-0.901544\pi\) |
0.739890 | + | 0.672728i | \(0.234878\pi\) | |||||||
\(564\) | 7.51428 | − | 28.0437i | 0.316408 | − | 1.18085i | ||||
\(565\) | −41.7197 | + | 41.7197i | −1.75516 | + | 1.75516i | ||||
\(566\) | 0.928516 | − | 3.46527i | 0.0390284 | − | 0.145656i | ||||
\(567\) | 6.05227 | − | 23.1773i | 0.254172 | − | 0.973354i | ||||
\(568\) | 6.23026 | + | 10.7911i | 0.261416 | + | 0.452786i | ||||
\(569\) | −27.1118 | + | 15.6530i | −1.13658 | + | 0.656207i | −0.945582 | − | 0.325383i | \(-0.894507\pi\) |
−0.191001 | + | 0.981590i | \(0.561174\pi\) | |||||||
\(570\) | 13.9260 | + | 13.9260i | 0.583296 | + | 0.583296i | ||||
\(571\) | 8.05884 | − | 4.65277i | 0.337252 | − | 0.194713i | −0.321804 | − | 0.946806i | \(-0.604289\pi\) |
0.659056 | + | 0.752094i | \(0.270956\pi\) | |||||||
\(572\) | −5.52187 | − | 12.2304i | −0.230881 | − | 0.511378i | ||||
\(573\) | − | 14.6050i | − | 0.610133i | ||||||
\(574\) | 1.54502 | − | 5.91669i | 0.0644880 | − | 0.246958i | ||||
\(575\) | 5.88933 | − | 10.2006i | 0.245602 | − | 0.425395i | ||||
\(576\) | − | 8.30092i | − | 0.345872i | ||||||
\(577\) | −16.6022 | − | 4.44854i | −0.691158 | − | 0.185195i | −0.103891 | − | 0.994589i | \(-0.533129\pi\) |
−0.587267 | + | 0.809393i | \(0.699796\pi\) | |||||||
\(578\) | −7.43962 | + | 1.99344i | −0.309448 | + | 0.0829162i | ||||
\(579\) | −1.73569 | − | 1.73569i | −0.0721327 | − | 0.0721327i | ||||
\(580\) | −24.6862 | − | 24.6862i | −1.02504 | − | 1.02504i | ||||
\(581\) | −9.58563 | − | 16.3611i | −0.397679 | − | 0.678772i | ||||
\(582\) | −14.1723 | − | 8.18239i | −0.587461 | − | 0.339171i | ||||
\(583\) | −7.12800 | − | 1.90994i | −0.295212 | − | 0.0791017i | ||||
\(584\) | 5.22419 | + | 9.04857i | 0.216179 | + | 0.374432i | ||||
\(585\) | 35.2573 | − | 15.9182i | 1.45771 | − | 0.658138i | ||||
\(586\) | 13.6457 | + | 7.87838i | 0.563701 | + | 0.325453i | ||||
\(587\) | −5.01190 | − | 18.7047i | −0.206863 | − | 0.772025i | −0.988873 | − | 0.148759i | \(-0.952472\pi\) |
0.782010 | − | 0.623266i | \(-0.214195\pi\) | |||||||
\(588\) | 25.8871 | − | 15.3892i | 1.06757 | − | 0.634639i | ||||
\(589\) | −23.9388 | + | 13.8211i | −0.986380 | + | 0.569487i | ||||
\(590\) | −19.4975 | + | 5.22433i | −0.802698 | + | 0.215082i | ||||
\(591\) | −2.67789 | − | 9.99403i | −0.110154 | − | 0.411099i | ||||
\(592\) | 1.82876 | + | 6.82503i | 0.0751616 | + | 0.280507i | ||||
\(593\) | −9.78085 | + | 2.62077i | −0.401651 | + | 0.107622i | −0.453989 | − | 0.891007i | \(-0.649999\pi\) |
0.0523376 | + | 0.998629i | \(0.483333\pi\) | |||||||
\(594\) | −0.0397897 | + | 0.0229726i | −0.00163259 | + | 0.000942578i | ||||
\(595\) | 5.38609 | − | 9.46783i | 0.220808 | − | 0.388143i | ||||
\(596\) | 1.26150 | + | 4.70799i | 0.0516731 | + | 0.192847i | ||||
\(597\) | −31.8864 | − | 18.4096i | −1.30502 | − | 0.753456i | ||||
\(598\) | −2.39113 | + | 1.07957i | −0.0977804 | + | 0.0441467i | ||||
\(599\) | −8.96728 | − | 15.5318i | −0.366393 | − | 0.634611i | 0.622606 | − | 0.782536i | \(-0.286074\pi\) |
−0.988999 | + | 0.147924i | \(0.952741\pi\) | |||||||
\(600\) | 34.6378 | + | 9.28118i | 1.41408 | + | 0.378903i | ||||
\(601\) | −29.5092 | − | 17.0372i | −1.20371 | − | 0.694960i | −0.242329 | − | 0.970194i | \(-0.577911\pi\) |
−0.961377 | + | 0.275234i | \(0.911245\pi\) | |||||||
\(602\) | 6.83371 | − | 0.0435556i | 0.278521 | − | 0.00177520i | ||||
\(603\) | −16.2381 | − | 16.2381i | −0.661268 | − | 0.661268i | ||||
\(604\) | −7.85335 | − | 7.85335i | −0.319548 | − | 0.319548i | ||||
\(605\) | 22.6717 | − | 6.07486i | 0.921734 | − | 0.246978i | ||||
\(606\) | −11.2986 | − | 3.02744i | −0.458973 | − | 0.122981i | ||||
\(607\) | − | 32.0123i | − | 1.29934i | −0.760217 | − | 0.649669i | \(-0.774907\pi\) | ||
0.760217 | − | 0.649669i | \(-0.225093\pi\) | |||||||
\(608\) | −11.3358 | + | 19.6342i | −0.459729 | + | 0.796274i | ||||
\(609\) | −25.0780 | + | 25.3998i | −1.01621 | + | 1.02925i | ||||
\(610\) | 16.7247i | 0.677162i | ||||||||
\(611\) | 10.0121 | + | 22.1758i | 0.405047 | + | 0.897138i | ||||
\(612\) | −5.19782 | + | 3.00096i | −0.210109 | + | 0.121307i | ||||
\(613\) | 12.2621 | + | 12.2621i | 0.495262 | + | 0.495262i | 0.909959 | − | 0.414697i | \(-0.136113\pi\) |
−0.414697 | + | 0.909959i | \(0.636113\pi\) | |||||||
\(614\) | 5.80508 | − | 3.35157i | 0.234274 | − | 0.135258i | ||||
\(615\) | 20.7179 | + | 35.8845i | 0.835426 | + | 1.44700i | ||||
\(616\) | −9.99407 | − | 2.60975i | −0.402672 | − | 0.105150i | ||||
\(617\) | −4.46908 | + | 16.6788i | −0.179918 | + | 0.671464i | 0.815743 | + | 0.578414i | \(0.196328\pi\) |
−0.995661 | + | 0.0930497i | \(0.970338\pi\) | |||||||
\(618\) | −10.4989 | + | 10.4989i | −0.422327 | + | 0.422327i | ||||
\(619\) | −0.785345 | + | 2.93095i | −0.0315657 | + | 0.117805i | −0.979911 | − | 0.199435i | \(-0.936089\pi\) |
0.948345 | + | 0.317240i | \(0.102756\pi\) | |||||||
\(620\) | −19.1865 | + | 33.2320i | −0.770548 | + | 1.33463i | ||||
\(621\) | −0.0327885 | − | 0.0567914i | −0.00131576 | − | 0.00227896i | ||||
\(622\) | −7.86477 | + | 2.10736i | −0.315349 | + | 0.0844974i | ||||
\(623\) | −22.9282 | − | 13.0435i | −0.918599 | − | 0.522576i | ||||
\(624\) | 14.5907 | + | 17.8272i | 0.584094 | + | 0.713659i | ||||
\(625\) | −0.795947 | + | 1.37862i | −0.0318379 | + | 0.0551448i | ||||
\(626\) | 3.23143 | − | 3.23143i | 0.129154 | − | 0.129154i | ||||
\(627\) | 23.5931 | 0.942218 | ||||||||
\(628\) | −3.35780 | −0.133991 | ||||||||
\(629\) | 2.18843 | − | 2.18843i | 0.0872583 | − | 0.0872583i | ||||
\(630\) | 3.52052 | − | 13.4819i | 0.140261 | − | 0.537132i | ||||
\(631\) | −46.4748 | − | 12.4529i | −1.85013 | − | 0.495742i | −0.850587 | − | 0.525834i | \(-0.823753\pi\) |
−0.999547 | + | 0.0300916i | \(0.990420\pi\) | |||||||
\(632\) | 5.64643 | + | 21.0728i | 0.224603 | + | 0.838229i | ||||
\(633\) | 52.3411 | + | 30.2192i | 2.08037 | + | 1.20110i | ||||
\(634\) | − | 16.2685i | − | 0.646106i | ||||||
\(635\) | 7.97626 | − | 29.7678i | 0.316528 | − | 1.18130i | ||||
\(636\) | 15.0054 | 0.595002 | ||||||||
\(637\) | −8.62021 | + | 23.7211i | −0.341545 | + | 0.939865i | ||||
\(638\) | 5.72881 | 0.226806 | ||||||||
\(639\) | −5.21176 | + | 19.4506i | −0.206174 | + | 0.769452i | ||||
\(640\) | 40.7006i | 1.60883i | ||||||||
\(641\) | 43.6877 | + | 25.2231i | 1.72556 | + | 0.996253i | 0.906024 | + | 0.423227i | \(0.139103\pi\) |
0.819537 | + | 0.573026i | \(0.194231\pi\) | |||||||
\(642\) | −2.54399 | − | 9.49429i | −0.100403 | − | 0.374710i | ||||
\(643\) | 23.5329 | + | 6.30561i | 0.928046 | + | 0.248669i | 0.691021 | − | 0.722834i | \(-0.257161\pi\) |
0.237025 | + | 0.971504i | \(0.423828\pi\) | |||||||
\(644\) | 1.74305 | − | 6.67504i | 0.0686858 | − | 0.263033i | ||||
\(645\) | −32.7434 | + | 32.7434i | −1.28927 | + | 1.28927i | ||||
\(646\) | 2.56078 | 0.100753 | ||||||||
\(647\) | 43.6258 | 1.71511 | 0.857554 | − | 0.514394i | \(-0.171983\pi\) | ||||
0.857554 | + | 0.514394i | \(0.171983\pi\) | |||||||
\(648\) | 11.8131 | − | 11.8131i | 0.464064 | − | 0.464064i | ||||
\(649\) | −12.0906 | + | 20.9415i | −0.474598 | + | 0.822028i | ||||
\(650\) | −12.8173 | + | 5.78685i | −0.502735 | + | 0.226979i | ||||
\(651\) | 34.1010 | + | 19.3995i | 1.33652 | + | 0.760326i | ||||
\(652\) | 10.4889 | − | 2.81048i | 0.410776 | − | 0.110067i | ||||
\(653\) | −24.0057 | − | 41.5791i | −0.939416 | − | 1.62712i | −0.766564 | − | 0.642168i | \(-0.778035\pi\) |
−0.172852 | − | 0.984948i | \(-0.555298\pi\) | |||||||
\(654\) | −1.78871 | + | 3.09813i | −0.0699439 | + | 0.121146i | ||||
\(655\) | 13.6768 | − | 51.0425i | 0.534396 | − | 1.99439i | ||||
\(656\) | −8.69772 | + | 8.69772i | −0.339589 | + | 0.339589i | ||||
\(657\) | −4.37016 | + | 16.3097i | −0.170496 | + | 0.636301i | ||||
\(658\) | 8.47974 | + | 2.21431i | 0.330575 | + | 0.0863228i | ||||
\(659\) | 2.00241 | + | 3.46828i | 0.0780030 | + | 0.135105i | 0.902388 | − | 0.430924i | \(-0.141812\pi\) |
−0.824385 | + | 0.566029i | \(0.808479\pi\) | |||||||
\(660\) | 28.3642 | − | 16.3761i | 1.10407 | − | 0.637437i | ||||
\(661\) | −14.9051 | − | 14.9051i | −0.579741 | − | 0.579741i | 0.355091 | − | 0.934832i | \(-0.384450\pi\) |
−0.934832 | + | 0.355091i | \(0.884450\pi\) | |||||||
\(662\) | 10.0101 | − | 5.77934i | 0.389054 | − | 0.224620i | ||||
\(663\) | 3.56694 | − | 9.43894i | 0.138528 | − | 0.366578i | ||||
\(664\) | − | 13.2247i | − | 0.513217i | ||||||
\(665\) | 30.4934 | − | 30.8846i | 1.18248 | − | 1.19765i | ||||
\(666\) | 1.97952 | − | 3.42862i | 0.0767047 | − | 0.132856i | ||||
\(667\) | 8.17667i | 0.316602i | ||||||||
\(668\) | −3.72677 | − | 0.998584i | −0.144193 | − | 0.0386364i | ||||
\(669\) | 1.76510 | − | 0.472958i | 0.0682428 | − | 0.0182856i | ||||
\(670\) | 9.61772 | + | 9.61772i | 0.371565 | + | 0.371565i | ||||
\(671\) | 14.1673 | + | 14.1673i | 0.546921 | + | 0.546921i | ||||
\(672\) | 32.1776 | − | 0.205088i | 1.24128 | − | 0.00791146i | ||||
\(673\) | −39.2951 | − | 22.6870i | −1.51471 | − | 0.874521i | −0.999851 | − | 0.0172480i | \(-0.994510\pi\) |
−0.514863 | − | 0.857273i | \(-0.672157\pi\) | |||||||
\(674\) | 11.6619 | + | 3.12480i | 0.449200 | + | 0.120363i | ||||
\(675\) | −0.175758 | − | 0.304422i | −0.00676494 | − | 0.0117172i | ||||
\(676\) | −22.4163 | − | 4.52105i | −0.862164 | − | 0.173886i | ||||
\(677\) | −12.2354 | − | 7.06412i | −0.470245 | − | 0.271496i | 0.246097 | − | 0.969245i | \(-0.420852\pi\) |
−0.716342 | + | 0.697749i | \(0.754185\pi\) | |||||||
\(678\) | 5.09531 | + | 19.0160i | 0.195684 | + | 0.730304i | ||||
\(679\) | −17.8326 | + | 31.3467i | −0.684353 | + | 1.20298i | ||||
\(680\) | 6.57896 | − | 3.79837i | 0.252292 | − | 0.145661i | ||||
\(681\) | −24.5030 | + | 6.56556i | −0.938957 | + | 0.251593i | ||||
\(682\) | −1.62973 | − | 6.08225i | −0.0624057 | − | 0.232901i | ||||
\(683\) | −0.0629256 | − | 0.234842i | −0.00240778 | − | 0.00898597i | 0.964711 | − | 0.263309i | \(-0.0848140\pi\) |
−0.967119 | + | 0.254323i | \(0.918147\pi\) | |||||||
\(684\) | −23.0997 | + | 6.18955i | −0.883240 | + | 0.236664i | ||||
\(685\) | 7.09006 | − | 4.09345i | 0.270897 | − | 0.156403i | ||||
\(686\) | 4.69520 | + | 7.78469i | 0.179263 | + | 0.297221i | ||||
\(687\) | 1.08732 | + | 4.05793i | 0.0414838 | + | 0.154820i | ||||
\(688\) | −11.9046 | − | 6.87311i | −0.453858 | − | 0.262035i | ||||
\(689\) | −9.73152 | + | 7.96476i | −0.370742 | + | 0.303433i | ||||
\(690\) | −3.20164 | − | 5.54540i | −0.121884 | − | 0.211110i | ||||
\(691\) | 34.8908 | + | 9.34895i | 1.32731 | + | 0.355651i | 0.851710 | − | 0.524013i | \(-0.175566\pi\) |
0.475597 | + | 0.879664i | \(0.342232\pi\) | |||||||
\(692\) | 28.8641 | + | 16.6647i | 1.09725 | + | 0.633497i | ||||
\(693\) | −8.43816 | − | 14.4025i | −0.320539 | − | 0.547108i | ||||
\(694\) | 11.5788 | + | 11.5788i | 0.439526 | + | 0.439526i | ||||
\(695\) | −12.4338 | − | 12.4338i | −0.471640 | − | 0.471640i | ||||
\(696\) | −24.0454 | + | 6.44294i | −0.911438 | + | 0.244219i | ||||
\(697\) | 5.20416 | + | 1.39445i | 0.197122 | + | 0.0528186i | ||||
\(698\) | − | 2.68417i | − | 0.101597i | ||||||
\(699\) | 10.1630 | − | 17.6029i | 0.384401 | − | 0.665802i | ||||
\(700\) | 9.34337 | − | 35.7806i | 0.353146 | − | 1.35238i | ||||
\(701\) | 26.1953i | 0.989383i | 0.869069 | + | 0.494691i | \(0.164719\pi\) | ||||
−0.869069 | + | 0.494691i | \(0.835281\pi\) | |||||||
\(702\) | −0.00777819 | + | 0.0779083i | −0.000293569 | + | 0.00294046i | ||||
\(703\) | 10.6795 | − | 6.16581i | 0.402785 | − | 0.232548i | ||||
\(704\) | 4.16477 | + | 4.16477i | 0.156966 | + | 0.156966i | ||||
\(705\) | −51.4293 | + | 29.6927i | −1.93694 | + | 1.11829i | ||||
\(706\) | 1.08467 | + | 1.87871i | 0.0408221 | + | 0.0707060i | ||||
\(707\) | −6.51293 | + | 24.9414i | −0.244944 | + | 0.938016i | ||||
\(708\) | 12.7262 | − | 47.4947i | 0.478279 | − | 1.78496i | ||||
\(709\) | 11.0458 | − | 11.0458i | 0.414834 | − | 0.414834i | −0.468584 | − | 0.883419i | \(-0.655236\pi\) |
0.883419 | + | 0.468584i | \(0.155236\pi\) | |||||||
\(710\) | 3.08689 | − | 11.5204i | 0.115849 | − | 0.432354i | ||||
\(711\) | −17.6279 | + | 30.5324i | −0.661097 | + | 1.14505i | ||||
\(712\) | −9.19849 | − | 15.9323i | −0.344728 | − | 0.597087i | ||||
\(713\) | 8.68112 | − | 2.32610i | 0.325111 | − | 0.0871131i | ||||
\(714\) | −1.83730 | − | 3.13597i | −0.0687593 | − | 0.117361i | ||||
\(715\) | −9.70285 | + | 25.6760i | −0.362866 | + | 0.960227i | ||||
\(716\) | −10.4343 | + | 18.0727i | −0.389948 | + | 0.675410i | ||||
\(717\) | −12.5709 | + | 12.5709i | −0.469467 | + | 0.469467i | ||||
\(718\) | −13.6314 | −0.508718 | ||||||||
\(719\) | −1.39754 | −0.0521194 | −0.0260597 | − | 0.999660i | \(-0.508296\pi\) | ||||
−0.0260597 | + | 0.999660i | \(0.508296\pi\) | |||||||
\(720\) | −19.8188 | + | 19.8188i | −0.738604 | + | 0.738604i | ||||
\(721\) | 23.2840 | + | 22.9891i | 0.867142 | + | 0.856158i | ||||
\(722\) | 0.847040 | + | 0.226964i | 0.0315236 | + | 0.00844671i | ||||
\(723\) | 4.90603 | + | 18.3096i | 0.182457 | + | 0.680940i | ||||
\(724\) | −15.5482 | − | 8.97676i | −0.577845 | − | 0.333619i | ||||
\(725\) | 43.8298i | 1.62780i | ||||||||
\(726\) | 2.02700 | − | 7.56487i | 0.0752291 | − | 0.280759i | ||||
\(727\) | −8.63150 | −0.320124 | −0.160062 | − | 0.987107i | \(-0.551169\pi\) | ||||
−0.160062 | + | 0.987107i | \(0.551169\pi\) | |||||||
\(728\) | −13.5501 | + | 11.2351i | −0.502201 | + | 0.416399i | ||||
\(729\) | 26.6734 | 0.987905 | ||||||||
\(730\) | 2.58842 | − | 9.66010i | 0.0958015 | − | 0.357536i | ||||
\(731\) | 6.02101i | 0.222695i | ||||||||
\(732\) | −35.2821 | − | 20.3702i | −1.30407 | − | 0.752903i | ||||
\(733\) | 0.210133 | + | 0.784228i | 0.00776145 | + | 0.0289661i | 0.969698 | − | 0.244307i | \(-0.0785604\pi\) |
−0.961937 | + | 0.273273i | \(0.911894\pi\) | |||||||
\(734\) | −7.98916 | − | 2.14069i | −0.294885 | − | 0.0790143i | ||||
\(735\) | −59.7000 | − | 15.1836i | −2.20207 | − | 0.560057i | ||||
\(736\) | 5.21230 | − | 5.21230i | 0.192128 | − | 0.192128i | ||||
\(737\) | 16.2941 | 0.600202 | ||||||||
\(738\) | 6.89205 | 0.253700 | ||||||||
\(739\) | −15.8205 | + | 15.8205i | −0.581966 | + | 0.581966i | −0.935443 | − | 0.353477i | \(-0.884999\pi\) |
0.353477 | + | 0.935443i | \(0.384999\pi\) | |||||||
\(740\) | 8.55941 | − | 14.8253i | 0.314650 | − | 0.544990i | ||||
\(741\) | 23.4622 | − | 32.6494i | 0.861905 | − | 1.19941i | ||||
\(742\) | 0.0288697 | + | 4.52954i | 0.00105984 | + | 0.166285i | ||||
\(743\) | 21.2232 | − | 5.68675i | 0.778605 | − | 0.208627i | 0.152436 | − | 0.988313i | \(-0.451288\pi\) |
0.626170 | + | 0.779687i | \(0.284622\pi\) | |||||||
\(744\) | 13.6809 | + | 23.6960i | 0.501565 | + | 0.868736i | ||||
\(745\) | 4.98483 | − | 8.63397i | 0.182630 | − | 0.316324i | ||||
\(746\) | −0.353557 | + | 1.31949i | −0.0129446 | + | 0.0483100i | ||||
\(747\) | 15.1120 | − | 15.1120i | 0.552920 | − | 0.552920i | ||||
\(748\) | 1.10222 | − | 4.11352i | 0.0403010 | − | 0.150405i | ||||
\(749\) | −20.8870 | + | 5.73958i | −0.763194 | + | 0.209720i | ||||
\(750\) | −6.36272 | − | 11.0206i | −0.232334 | − | 0.402414i | ||||
\(751\) | −22.0152 | + | 12.7105i | −0.803347 | + | 0.463813i | −0.844640 | − | 0.535334i | \(-0.820186\pi\) |
0.0412930 | + | 0.999147i | \(0.486852\pi\) | |||||||
\(752\) | −12.4655 | − | 12.4655i | −0.454570 | − | 0.454570i | ||||
\(753\) | −7.46095 | + | 4.30758i | −0.271892 | + | 0.156977i | ||||
\(754\) | 5.69702 | − | 7.92784i | 0.207473 | − | 0.288715i | ||||
\(755\) | 22.7174i | 0.826771i | ||||||||
\(756\) | −0.146509 | − | 0.144653i | −0.00532847 | − | 0.00526098i | ||||
\(757\) | 19.9731 | − | 34.5945i | 0.725936 | − | 1.25736i | −0.232651 | − | 0.972560i | \(-0.574740\pi\) |
0.958587 | − | 0.284799i | \(-0.0919267\pi\) | |||||||
\(758\) | 0.373043i | 0.0135495i | ||||||||
\(759\) | −7.40951 | − | 1.98537i | −0.268948 | − | 0.0720645i | ||||
\(760\) | 29.2377 | − | 7.83422i | 1.06056 | − | 0.284177i | ||||
\(761\) | 12.3304 | + | 12.3304i | 0.446976 | + | 0.446976i | 0.894348 | − | 0.447372i | \(-0.147640\pi\) |
−0.447372 | + | 0.894348i | \(0.647640\pi\) | |||||||
\(762\) | −7.27120 | − | 7.27120i | −0.263408 | − | 0.263408i | ||||
\(763\) | 6.85252 | + | 3.89828i | 0.248078 | + | 0.141127i | ||||
\(764\) | −9.09684 | − | 5.25206i | −0.329112 | − | 0.190013i | ||||
\(765\) | 11.8583 | + | 3.17743i | 0.428738 | + | 0.114880i | ||||
\(766\) | −7.72272 | − | 13.3761i | −0.279033 | − | 0.483300i | ||||
\(767\) | 16.9565 | + | 37.5570i | 0.612264 | + | 1.35610i | ||||
\(768\) | −0.0315111 | − | 0.0181929i | −0.00113706 | − | 0.000656480i | ||||
\(769\) | −0.710240 | − | 2.65065i | −0.0256119 | − | 0.0955849i | 0.951937 | − | 0.306295i | \(-0.0990892\pi\) |
−0.977549 | + | 0.210710i | \(0.932423\pi\) | |||||||
\(770\) | 4.99786 | + | 8.53052i | 0.180110 | + | 0.307419i | ||||
\(771\) | −22.9847 | + | 13.2702i | −0.827774 | + | 0.477915i | ||||
\(772\) | −1.70525 | + | 0.456920i | −0.0613733 | + | 0.0164449i | ||||
\(773\) | 3.44100 | + | 12.8420i | 0.123764 | + | 0.461894i | 0.999793 | − | 0.0203654i | \(-0.00648297\pi\) |
−0.876029 | + | 0.482259i | \(0.839816\pi\) | |||||||
\(774\) | 1.99346 | + | 7.43969i | 0.0716534 | + | 0.267414i | ||||
\(775\) | 46.5339 | − | 12.4687i | 1.67155 | − | 0.447890i | ||||
\(776\) | −21.7820 | + | 12.5759i | −0.781930 | + | 0.451448i | ||||
\(777\) | −15.2130 | − | 8.65443i | −0.545764 | − | 0.310476i | ||||
\(778\) | 3.43789 | + | 12.8304i | 0.123254 | + | 0.459991i | ||||
\(779\) | 18.5913 | + | 10.7337i | 0.666103 | + | 0.384575i | ||||
\(780\) | 5.54469 | − | 55.5370i | 0.198532 | − | 1.98854i | ||||
\(781\) | −7.14395 | − | 12.3737i | −0.255631 | − | 0.442765i | ||||
\(782\) | −0.804224 | − | 0.215491i | −0.0287590 | − | 0.00770595i | ||||
\(783\) | 0.211328 | + | 0.122010i | 0.00755225 | + | 0.00436029i | ||||
\(784\) | −0.233093 | − | 18.2850i | −0.00832476 | − | 0.653035i | ||||
\(785\) | 4.85655 | + | 4.85655i | 0.173338 | + | 0.173338i | ||||
\(786\) | −12.4678 | − | 12.4678i | −0.444713 | − | 0.444713i | ||||
\(787\) | 21.1891 | − | 5.67760i | 0.755309 | − | 0.202385i | 0.139437 | − | 0.990231i | \(-0.455471\pi\) |
0.615872 | + | 0.787846i | \(0.288804\pi\) | |||||||
\(788\) | −7.18784 | − | 1.92598i | −0.256056 | − | 0.0686101i | ||||
\(789\) | − | 11.4931i | − | 0.409166i | ||||||
\(790\) | 10.4409 | − | 18.0841i | 0.371469 | − | 0.643403i | ||||
\(791\) | 41.8342 | − | 11.4957i | 1.48745 | − | 0.408740i | ||||
\(792\) | − | 11.6416i | − | 0.413666i | ||||||
\(793\) | 33.6941 | − | 5.51677i | 1.19651 | − | 0.195906i | ||||
\(794\) | −0.0970451 | + | 0.0560290i | −0.00344400 | + | 0.00198840i | ||||
\(795\) | −21.7031 | − | 21.7031i | −0.769728 | − | 0.769728i | ||||
\(796\) | −22.9332 | + | 13.2405i | −0.812844 | + | 0.469296i | ||||
\(797\) | −23.0740 | − | 39.9654i | −0.817324 | − | 1.41565i | −0.907647 | − | 0.419735i | \(-0.862123\pi\) |
0.0903225 | − | 0.995913i | \(-0.471210\pi\) | |||||||
\(798\) | −3.83726 | − | 13.9642i | −0.135837 | − | 0.494328i | ||||
\(799\) | −1.99851 | + | 7.45855i | −0.0707023 | + | 0.263865i | ||||
\(800\) | 27.9398 | − | 27.9398i | 0.987820 | − | 0.987820i | ||||
\(801\) | 7.69476 | − | 28.7172i | 0.271881 | − | 1.01467i | ||||
\(802\) | −6.30682 | + | 10.9237i | −0.222702 | + | 0.385730i | ||||
\(803\) | −5.99034 | − | 10.3756i | −0.211394 | − | 0.366146i | ||||
\(804\) | −32.0035 | + | 8.57532i | −1.12868 | + | 0.302428i | ||||
\(805\) | −12.1755 | + | 7.13339i | −0.429131 | + | 0.251419i | ||||
\(806\) | −10.0376 | − | 3.79318i | −0.353560 | − | 0.133609i | ||||
\(807\) | 31.4417 | − | 54.4587i | 1.10680 | − | 1.91704i | ||||
\(808\) | −12.7123 | + | 12.7123i | −0.447215 | + | 0.447215i | ||||
\(809\) | −37.2030 | −1.30799 | −0.653994 | − | 0.756500i | \(-0.726908\pi\) | ||||
−0.653994 | + | 0.756500i | \(0.726908\pi\) | |||||||
\(810\) | −15.9907 | −0.561857 | ||||||||
\(811\) | −5.71666 | + | 5.71666i | −0.200739 | + | 0.200739i | −0.800317 | − | 0.599578i | \(-0.795335\pi\) |
0.599578 | + | 0.800317i | \(0.295335\pi\) | |||||||
\(812\) | 6.80220 | + | 24.7540i | 0.238710 | + | 0.868694i | ||||
\(813\) | −3.13308 | − | 0.839506i | −0.109882 | − | 0.0294427i | ||||
\(814\) | 0.727051 | + | 2.71339i | 0.0254831 | + | 0.0951043i | ||||
\(815\) | −19.2355 | − | 11.1056i | −0.673791 | − | 0.389013i | ||||
\(816\) | 7.31087i | 0.255932i | ||||||||
\(817\) | −6.20924 | + | 23.1732i | −0.217234 | + | 0.810728i | ||||
\(818\) | 14.6517 | 0.512283 | ||||||||
\(819\) | −28.3224 | − | 2.64544i | −0.989663 | − | 0.0924392i | ||||
\(820\) | 29.8012 | 1.04070 | ||||||||
\(821\) | 1.66286 | − | 6.20586i | 0.0580341 | − | 0.216586i | −0.930819 | − | 0.365480i | \(-0.880905\pi\) |
0.988853 | + | 0.148894i | \(0.0475714\pi\) | |||||||
\(822\) | − | 2.73173i | − | 0.0952800i | ||||||
\(823\) | 7.71255 | + | 4.45284i | 0.268843 | + | 0.155216i | 0.628362 | − | 0.777921i | \(-0.283726\pi\) |
−0.359519 | + | 0.933138i | \(0.617059\pi\) | |||||||
\(824\) | 5.90625 | + | 22.0424i | 0.205754 | + | 0.767885i | ||||
\(825\) | −39.7176 | − | 10.6423i | −1.38279 | − | 0.370517i | ||||
\(826\) | 14.3613 | + | 3.75015i | 0.499693 | + | 0.130485i | ||||
\(827\) | −0.00569088 | + | 0.00569088i | −0.000197891 | + | 0.000197891i | −0.707206 | − | 0.707008i | \(-0.750045\pi\) |
0.707008 | + | 0.707206i | \(0.250045\pi\) | |||||||
\(828\) | 7.77542 | 0.270214 | ||||||||
\(829\) | −16.7230 | −0.580813 | −0.290407 | − | 0.956903i | \(-0.593791\pi\) | ||||
−0.290407 | + | 0.956903i | \(0.593791\pi\) | |||||||
\(830\) | −8.95073 | + | 8.95073i | −0.310684 | + | 0.310684i | ||||
\(831\) | 0.221791 | − | 0.384153i | 0.00769384 | − | 0.0133261i | ||||
\(832\) | 9.90509 | − | 1.62177i | 0.343397 | − | 0.0562249i | ||||
\(833\) | −6.88498 | + | 4.09294i | −0.238551 | + | 0.141812i | ||||
\(834\) | −5.66735 | + | 1.51856i | −0.196244 | + | 0.0525835i | ||||
\(835\) | 3.94591 | + | 6.83451i | 0.136554 | + | 0.236518i | ||||
\(836\) | 8.48424 | − | 14.6951i | 0.293434 | − | 0.508242i | ||||
\(837\) | 0.0694190 | − | 0.259075i | 0.00239947 | − | 0.00895495i | ||||
\(838\) | 3.09658 | − | 3.09658i | 0.106969 | − | 0.106969i | ||||
\(839\) | 5.65746 | − | 21.1139i | 0.195317 | − | 0.728934i | −0.796867 | − | 0.604154i | \(-0.793511\pi\) |
0.992185 | − | 0.124779i | \(-0.0398223\pi\) | |||||||
\(840\) | −30.5713 | − | 30.1840i | −1.05481 | − | 1.04145i | ||||
\(841\) | −0.713208 | − | 1.23531i | −0.0245934 | − | 0.0425970i | ||||
\(842\) | −10.9060 | + | 6.29661i | −0.375847 | + | 0.216996i | ||||
\(843\) | 13.4657 | + | 13.4657i | 0.463782 | + | 0.463782i | ||||
\(844\) | 37.6444 | − | 21.7340i | 1.29578 | − | 0.748116i | ||||
\(845\) | 25.8828 | + | 38.9608i | 0.890394 | + | 1.34029i | ||||
\(846\) | 9.87762i | 0.339600i | ||||||||
\(847\) | −16.6993 | − | 4.36068i | −0.573795 | − | 0.149835i | ||||
\(848\) | 4.55565 | − | 7.89062i | 0.156442 | − | 0.270965i | ||||
\(849\) | − | 17.8751i | − | 0.613472i | ||||||
\(850\) | −4.31093 | − | 1.15511i | −0.147864 | − | 0.0396199i | ||||
\(851\) | −3.87279 | + | 1.03771i | −0.132758 | + | 0.0355723i | ||||
\(852\) | 20.5436 | + | 20.5436i | 0.703812 | + | 0.703812i | ||||
\(853\) | 34.9450 | + | 34.9450i | 1.19649 | + | 1.19649i | 0.975209 | + | 0.221284i | \(0.0710248\pi\) |
0.221284 | + | 0.975209i | \(0.428975\pi\) | |||||||
\(854\) | 6.08107 | − | 10.6895i | 0.208090 | − | 0.365787i | ||||
\(855\) | 42.3626 | + | 24.4580i | 1.44877 | + | 0.836448i | ||||
\(856\) | −14.5922 | − | 3.90997i | −0.498751 | − | 0.133640i | ||||
\(857\) | 12.4193 | + | 21.5108i | 0.424235 | + | 0.734796i | 0.996349 | − | 0.0853781i | \(-0.0272098\pi\) |
−0.572114 | + | 0.820174i | \(0.693876\pi\) | |||||||
\(858\) | 5.80074 | + | 7.08747i | 0.198034 | + | 0.241962i | ||||
\(859\) | −17.8657 | − | 10.3147i | −0.609569 | − | 0.351935i | 0.163228 | − | 0.986588i | \(-0.447809\pi\) |
−0.772797 | + | 0.634654i | \(0.781143\pi\) | |||||||
\(860\) | 8.61971 | + | 32.1692i | 0.293930 | + | 1.09696i | ||||
\(861\) | −0.194195 | − | 30.4684i | −0.00661813 | − | 1.03836i | ||||
\(862\) | 5.00231 | − | 2.88809i | 0.170379 | − | 0.0983686i | ||||
\(863\) | 21.7857 | − | 5.83745i | 0.741593 | − | 0.198709i | 0.131807 | − | 0.991275i | \(-0.457922\pi\) |
0.609786 | + | 0.792566i | \(0.291255\pi\) | |||||||
\(864\) | −0.0569365 | − | 0.212490i | −0.00193702 | − | 0.00722905i | ||||
\(865\) | −17.6446 | − | 65.8506i | −0.599935 | − | 2.23899i | ||||
\(866\) | 5.94012 | − | 1.59165i | 0.201853 | − | 0.0540864i | ||||
\(867\) | −33.2348 | + | 19.1881i | −1.12871 | + | 0.651663i | ||||
\(868\) | 24.3461 | − | 14.2639i | 0.826359 | − | 0.484147i | ||||
\(869\) | −6.47450 | − | 24.1632i | −0.219632 | − | 0.819679i | ||||
\(870\) | 20.6351 | + | 11.9137i | 0.699596 | + | 0.403912i | ||||
\(871\) | 16.2037 | − | 22.5487i | 0.549041 | − | 0.764033i | ||||
\(872\) | 2.74914 | + | 4.76165i | 0.0930976 | + | 0.161250i | ||||
\(873\) | −39.2613 | − | 10.5200i | −1.32879 | − | 0.356049i | ||||
\(874\) | −2.87301 | − | 1.65873i | −0.0971809 | − | 0.0561074i | ||||
\(875\) | −24.1968 | + | 14.1764i | −0.818001 | + | 0.479251i | ||||
\(876\) | 17.2262 | + | 17.2262i | 0.582019 | + | 0.582019i | ||||
\(877\) | 9.10624 | + | 9.10624i | 0.307496 | + | 0.307496i | 0.843937 | − | 0.536442i | \(-0.180232\pi\) |
−0.536442 | + | 0.843937i | \(0.680232\pi\) | |||||||
\(878\) | −8.42255 | + | 2.25682i | −0.284247 | + | 0.0761639i | ||||
\(879\) | 75.8343 | + | 20.3198i | 2.55783 | + | 0.685368i | ||||
\(880\) | − | 19.8872i | − | 0.670396i | ||||||
\(881\) | 3.52615 | − | 6.10747i | 0.118799 | − | 0.205766i | −0.800493 | − | 0.599342i | \(-0.795429\pi\) |
0.919292 | + | 0.393576i | \(0.128762\pi\) | |||||||
\(882\) | −7.15213 | + | 7.33683i | −0.240825 | + | 0.247044i | ||||
\(883\) | − | 55.6508i | − | 1.87280i | −0.350938 | − | 0.936399i | \(-0.614137\pi\) | ||
0.350938 | − | 0.936399i | \(-0.385863\pi\) | |||||||
\(884\) | −4.59642 | − | 5.61600i | −0.154594 | − | 0.188887i | ||||
\(885\) | −87.1005 | + | 50.2875i | −2.92785 | + | 1.69040i | ||||
\(886\) | 2.32516 | + | 2.32516i | 0.0781153 | + | 0.0781153i | ||||
\(887\) | 12.9108 | − | 7.45405i | 0.433502 | − | 0.250282i | −0.267335 | − | 0.963604i | \(-0.586143\pi\) |
0.700837 | + | 0.713321i | \(0.252810\pi\) | |||||||
\(888\) | −6.10326 | − | 10.5712i | −0.204812 | − | 0.354745i | ||||
\(889\) | −15.9215 | + | 16.1258i | −0.533991 | + | 0.540842i | ||||
\(890\) | −4.55755 | + | 17.0090i | −0.152769 | + | 0.570143i | ||||
\(891\) | −13.5456 | + | 13.5456i | −0.453794 | + | 0.453794i | ||||
\(892\) | 0.340158 | − | 1.26949i | 0.0113893 | − | 0.0425055i | ||||
\(893\) | −15.3834 | + | 26.6449i | −0.514787 | + | 0.891637i | ||||
\(894\) | −1.66329 | − | 2.88090i | −0.0556287 | − | 0.0963518i | ||||
\(895\) | 41.2312 | − | 11.0479i | 1.37821 | − | 0.369289i | ||||
\(896\) | 14.7987 | − | 26.0136i | 0.494390 | − | 0.869054i | ||||
\(897\) | −10.1159 | + | 8.27932i | −0.337759 | + | 0.276439i | ||||
\(898\) | −5.81109 | + | 10.0651i | −0.193919 | + | 0.335877i | ||||
\(899\) | −23.6478 | + | 23.6478i | −0.788699 | + | 0.788699i | ||||
\(900\) | 41.6790 | 1.38930 | ||||||||
\(901\) | −3.99086 | −0.132955 | ||||||||
\(902\) | −3.45791 | + | 3.45791i | −0.115136 | + | 0.115136i | ||||
\(903\) | 32.8332 | − | 9.02231i | 1.09262 | − | 0.300244i | ||||
\(904\) | 29.2265 | + | 7.83121i | 0.972058 | + | 0.260462i | ||||
\(905\) | 9.50462 | + | 35.4717i | 0.315944 | + | 1.17912i | ||||
\(906\) | 6.56459 | + | 3.79007i | 0.218094 | + | 0.125917i | ||||
\(907\) | − | 2.24261i | − | 0.0744647i | −0.999307 | − | 0.0372324i | \(-0.988146\pi\) | ||
0.999307 | − | 0.0372324i | \(-0.0118542\pi\) | |||||||
\(908\) | −4.72204 | + | 17.6229i | −0.156706 | + | 0.584836i | ||||
\(909\) | −29.0529 | −0.963625 | ||||||||
\(910\) | 16.7751 | + | 1.56688i | 0.556090 | + | 0.0519414i | ||||
\(911\) | −22.3252 | −0.739667 | −0.369834 | − | 0.929098i | \(-0.620585\pi\) | ||||
−0.369834 | + | 0.929098i | \(0.620585\pi\) | |||||||
\(912\) | −7.53942 | + | 28.1375i | −0.249655 | + | 0.931726i | ||||
\(913\) | 15.1641i | 0.501859i | ||||||||
\(914\) | −13.5766 | − | 7.83843i | −0.449073 | − | 0.259272i | ||||
\(915\) | 21.5680 | + | 80.4928i | 0.713015 | + | 2.66101i | ||||
\(916\) | 2.91852 | + | 0.782015i | 0.0964305 | + | 0.0258385i | ||||
\(917\) | −27.3004 | + | 27.6507i | −0.901540 | + | 0.913106i | ||||
\(918\) | −0.0175699 | + | 0.0175699i | −0.000579892 | + | 0.000579892i | ||||
\(919\) | −41.4889 | −1.36859 | −0.684297 | − | 0.729204i | \(-0.739891\pi\) | ||||
−0.684297 | + | 0.729204i | \(0.739891\pi\) | |||||||
\(920\) | −9.84147 | −0.324464 | ||||||||
\(921\) | 23.6166 | − | 23.6166i | 0.778195 | − | 0.778195i | ||||
\(922\) | −9.33881 | + | 16.1753i | −0.307557 | + | 0.532705i | ||||
\(923\) | −24.2277 | − | 2.41884i | −0.797463 | − | 0.0796170i | ||||
\(924\) | −24.0831 | + | 0.153497i | −0.792277 | + | 0.00504969i | ||||
\(925\) | −20.7595 | + | 5.56250i | −0.682569 | + | 0.182894i | ||||
\(926\) | −3.16342 | − | 5.47921i | −0.103956 | − | 0.180058i | ||||
\(927\) | −18.4390 | + | 31.9373i | −0.605617 | + | 1.04896i | ||||
\(928\) | −7.09929 | + | 26.4949i | −0.233046 | + | 0.869738i | ||||
\(929\) | 35.0945 | − | 35.0945i | 1.15141 | − | 1.15141i | 0.165142 | − | 0.986270i | \(-0.447192\pi\) |
0.986270 | − | 0.165142i | \(-0.0528084\pi\) | |||||||
\(930\) | 6.77842 | − | 25.2974i | 0.222273 | − | 0.829534i | ||||
\(931\) | −30.7193 | + | 8.65236i | −1.00678 | + | 0.283570i | ||||
\(932\) | −7.30938 | − | 12.6602i | −0.239427 | − | 0.414699i | ||||
\(933\) | −35.1341 | + | 20.2847i | −1.15024 | + | 0.664090i | ||||
\(934\) | −6.19241 | − | 6.19241i | −0.202622 | − | 0.202622i | ||||
\(935\) | −7.54379 | + | 4.35541i | −0.246708 | + | 0.142437i | ||||
\(936\) | −16.1102 | − | 11.5770i | −0.526580 | − | 0.378405i | ||||
\(937\) | − | 47.8712i | − | 1.56388i | −0.623352 | − | 0.781942i | \(-0.714229\pi\) | ||
0.623352 | − | 0.781942i | \(-0.285771\pi\) | |||||||
\(938\) | −2.65013 | − | 9.64412i | −0.0865297 | − | 0.314892i | ||||
\(939\) | 11.3850 | − | 19.7195i | 0.371537 | − | 0.643521i | ||||
\(940\) | 42.7108i | 1.39307i | ||||||||
\(941\) | 7.35402 | + | 1.97050i | 0.239734 | + | 0.0642366i | 0.376686 | − | 0.926341i | \(-0.377064\pi\) |
−0.136951 | + | 0.990578i | \(0.543730\pi\) | |||||||
\(942\) | 2.21363 | − | 0.593140i | 0.0721240 | − | 0.0193256i | ||||
\(943\) | −4.93543 | − | 4.93543i | −0.160720 | − | 0.160720i | ||||
\(944\) | −21.1115 | − | 21.1115i | −0.687122 | − | 0.687122i | ||||
\(945\) | 0.00268408 | + | 0.421122i | 8.73132e−5 | + | 0.0136991i | ||||
\(946\) | −4.73284 | − | 2.73251i | −0.153878 | − | 0.0888414i | ||||
\(947\) | 6.83743 | + | 1.83209i | 0.222187 | + | 0.0595348i | 0.368195 | − | 0.929749i | \(-0.379976\pi\) |
−0.146008 | + | 0.989283i | \(0.546643\pi\) | |||||||
\(948\) | 25.4333 | + | 44.0518i | 0.826036 | + | 1.43074i | ||||
\(949\) | −20.3154 | − | 2.02824i | −0.659465 | − | 0.0658395i | ||||
\(950\) | −15.4003 | − | 8.89138i | −0.499653 | − | 0.288475i | ||||
\(951\) | −20.9797 | − | 78.2974i | −0.680314 | − | 2.53897i | ||||
\(952\) | −5.58599 | + | 0.0356031i | −0.181043 | + | 0.00115390i | ||||
\(953\) | 41.2624 | − | 23.8229i | 1.33662 | − | 0.771698i | 0.350316 | − | 0.936632i | \(-0.386074\pi\) |
0.986305 | + | 0.164933i | \(0.0527408\pi\) | |||||||
\(954\) | −4.93120 | + | 1.32131i | −0.159653 | + | 0.0427790i | ||||
\(955\) | 5.56089 | + | 20.7535i | 0.179946 | + | 0.671569i | ||||
\(956\) | 3.30928 | + | 12.3504i | 0.107030 | + | 0.399441i | ||||
\(957\) | 27.5717 | − | 7.38782i | 0.891267 | − | 0.238814i | ||||
\(958\) | 3.90727 | − | 2.25586i | 0.126238 | − | 0.0728836i | ||||
\(959\) | −6.01995 | + | 0.0383690i | −0.194394 | + | 0.00123900i | ||||
\(960\) | 6.34036 | + | 23.6626i | 0.204634 | + | 0.763706i | ||||
\(961\) | 4.98732 | + | 2.87943i | 0.160881 | + | 0.0928848i | ||||
\(962\) | 4.47795 | + | 1.69220i | 0.144375 | + | 0.0545588i | ||||
\(963\) | −12.2067 | − | 21.1427i | −0.393356 | − | 0.681313i | ||||
\(964\) | 13.1685 | + | 3.52849i | 0.424128 | + | 0.113645i | ||||
\(965\) | 3.12726 | + | 1.80552i | 0.100670 | + | 0.0581218i | ||||
\(966\) | 0.0300098 | + | 4.70843i | 0.000965551 | + | 0.151491i | ||||
\(967\) | 31.2419 | + | 31.2419i | 1.00467 | + | 1.00467i | 0.999989 | + | 0.00468303i | \(0.00149066\pi\) |
0.00468303 | + | 0.999989i | \(0.498509\pi\) | |||||||
\(968\) | −8.51139 | − | 8.51139i | −0.273567 | − | 0.273567i | ||||
\(969\) | 12.3246 | − | 3.30236i | 0.395922 | − | 0.106087i | ||||
\(970\) | 23.2542 | + | 6.23093i | 0.746646 | + | 0.200063i | ||||
\(971\) | − | 7.43216i | − | 0.238509i | −0.992864 | − | 0.119255i | \(-0.961950\pi\) | ||
0.992864 | − | 0.119255i | \(-0.0380505\pi\) | |||||||
\(972\) | 19.3595 | − | 33.5317i | 0.620957 | − | 1.07553i | ||||
\(973\) | 3.42608 | + | 12.4679i | 0.109835 | + | 0.399703i | ||||
\(974\) | − | 5.43090i | − | 0.174017i | ||||||
\(975\) | −54.2246 | + | 44.3801i | −1.73658 | + | 1.42130i | ||||
\(976\) | −21.4234 | + | 12.3688i | −0.685746 | + | 0.395916i | ||||
\(977\) | 27.0613 | + | 27.0613i | 0.865769 | + | 0.865769i | 0.992001 | − | 0.126232i | \(-0.0402884\pi\) |
−0.126232 | + | 0.992001i | \(0.540288\pi\) | |||||||
\(978\) | −6.41833 | + | 3.70562i | −0.205235 | + | 0.118493i | ||||
\(979\) | 10.5475 | + | 18.2688i | 0.337099 | + | 0.583873i | ||||
\(980\) | −30.9258 | + | 31.7244i | −0.987887 | + | 1.01340i | ||||
\(981\) | −2.29972 | + | 8.58268i | −0.0734245 | + | 0.274024i | ||||
\(982\) | −0.984069 | + | 0.984069i | −0.0314029 | + | 0.0314029i | ||||
\(983\) | 6.66114 | − | 24.8597i | 0.212458 | − | 0.792902i | −0.774589 | − | 0.632465i | \(-0.782043\pi\) |
0.987046 | − | 0.160437i | \(-0.0512903\pi\) | |||||||
\(984\) | 10.6248 | − | 18.4027i | 0.338707 | − | 0.586658i | ||||
\(985\) | 7.61050 | + | 13.1818i | 0.242491 | + | 0.420006i | ||||
\(986\) | 2.99262 | − | 0.801870i | 0.0953044 | − | 0.0255367i | ||||
\(987\) | 43.6670 | − | 0.278318i | 1.38994 | − | 0.00885895i | ||||
\(988\) | −11.8988 | − | 26.3545i | −0.378550 | − | 0.838449i | ||||
\(989\) | 3.90007 | − | 6.75513i | 0.124015 | − | 0.214801i | ||||
\(990\) | −7.87927 | + | 7.87927i | −0.250419 | + | 0.250419i | ||||
\(991\) | −46.8094 | −1.48695 | −0.743474 | − | 0.668765i | \(-0.766823\pi\) | ||||
−0.743474 | + | 0.668765i | \(0.766823\pi\) | |||||||
\(992\) | 30.1491 | 0.957235 | ||||||||
\(993\) | 40.7238 | − | 40.7238i | 1.29233 | − | 1.29233i | ||||
\(994\) | −6.16178 | + | 6.24083i | −0.195440 | + | 0.197947i | ||||
\(995\) | 52.3197 | + | 14.0190i | 1.65865 | + | 0.444433i | ||||
\(996\) | −7.98062 | − | 29.7841i | −0.252876 | − | 0.943745i | ||||
\(997\) | 24.4448 | + | 14.1132i | 0.774174 | + | 0.446969i | 0.834361 | − | 0.551218i | \(-0.185837\pi\) |
−0.0601878 | + | 0.998187i | \(0.519170\pi\) | |||||||
\(998\) | 18.8280i | 0.595989i | ||||||||
\(999\) | −0.0309690 | + | 0.115578i | −0.000979815 | + | 0.00365672i |
(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 | 91.2.w.a.33.4 | ✓ | 28 | |
3.2 | odd | 2 | 819.2.gh.b.397.4 | 28 | |||
7.2 | even | 3 | 637.2.bd.a.293.4 | 28 | |||
7.3 | odd | 6 | 91.2.ba.a.59.4 | yes | 28 | ||
7.4 | even | 3 | 637.2.bb.a.423.4 | 28 | |||
7.5 | odd | 6 | 637.2.bd.b.293.4 | 28 | |||
7.6 | odd | 2 | 637.2.x.a.215.4 | 28 | |||
13.2 | odd | 12 | 91.2.ba.a.54.4 | yes | 28 | ||
21.17 | even | 6 | 819.2.et.b.514.4 | 28 | |||
39.2 | even | 12 | 819.2.et.b.145.4 | 28 | |||
91.2 | odd | 12 | 637.2.bd.b.587.4 | 28 | |||
91.41 | even | 12 | 637.2.bb.a.509.4 | 28 | |||
91.54 | even | 12 | 637.2.bd.a.587.4 | 28 | |||
91.67 | odd | 12 | 637.2.x.a.80.4 | 28 | |||
91.80 | even | 12 | inner | 91.2.w.a.80.4 | yes | 28 | |
273.80 | odd | 12 | 819.2.gh.b.262.4 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.w.a.33.4 | ✓ | 28 | 1.1 | even | 1 | trivial | |
91.2.w.a.80.4 | yes | 28 | 91.80 | even | 12 | inner | |
91.2.ba.a.54.4 | yes | 28 | 13.2 | odd | 12 | ||
91.2.ba.a.59.4 | yes | 28 | 7.3 | odd | 6 | ||
637.2.x.a.80.4 | 28 | 91.67 | odd | 12 | |||
637.2.x.a.215.4 | 28 | 7.6 | odd | 2 | |||
637.2.bb.a.423.4 | 28 | 7.4 | even | 3 | |||
637.2.bb.a.509.4 | 28 | 91.41 | even | 12 | |||
637.2.bd.a.293.4 | 28 | 7.2 | even | 3 | |||
637.2.bd.a.587.4 | 28 | 91.54 | even | 12 | |||
637.2.bd.b.293.4 | 28 | 7.5 | odd | 6 | |||
637.2.bd.b.587.4 | 28 | 91.2 | odd | 12 | |||
819.2.et.b.145.4 | 28 | 39.2 | even | 12 | |||
819.2.et.b.514.4 | 28 | 21.17 | even | 6 | |||
819.2.gh.b.262.4 | 28 | 273.80 | odd | 12 | |||
819.2.gh.b.397.4 | 28 | 3.2 | odd | 2 |