Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 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("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 115.3 | ||
Character | \(\chi\) | \(=\) | 273.115 |
Dual form | 273.2.cg.a.19.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.50246 | + | 0.402582i | −1.06240 | + | 0.284668i | −0.747366 | − | 0.664413i | \(-0.768682\pi\) |
−0.315031 | + | 0.949081i | \(0.602015\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 0.363252 | − | 0.209723i | 0.181626 | − | 0.104862i | ||||
\(5\) | 2.78312 | + | 0.745735i | 1.24465 | + | 0.333503i | 0.820267 | − | 0.571981i | \(-0.193825\pi\) |
0.424382 | + | 0.905483i | \(0.360491\pi\) | |||||||
\(6\) | −0.402582 | − | 1.50246i | −0.164353 | − | 0.613375i | ||||
\(7\) | 0.599883 | − | 2.57685i | 0.226735 | − | 0.973957i | ||||
\(8\) | 1.73841 | − | 1.73841i | 0.614621 | − | 0.614621i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −4.48173 | −1.41725 | ||||||||
\(11\) | 3.87160 | − | 3.87160i | 1.16733 | − | 1.16733i | 0.184500 | − | 0.982833i | \(-0.440934\pi\) |
0.982833 | − | 0.184500i | \(-0.0590665\pi\) | |||||||
\(12\) | 0.209723 | + | 0.363252i | 0.0605420 | + | 0.104862i | ||||
\(13\) | 0.662549 | + | 3.54415i | 0.183758 | + | 0.982972i | ||||
\(14\) | 0.136094 | + | 4.11310i | 0.0363725 | + | 1.09927i | ||||
\(15\) | −0.745735 | + | 2.78312i | −0.192548 | + | 0.718598i | ||||
\(16\) | −2.33148 | + | 4.03824i | −0.582870 | + | 1.00956i | ||||
\(17\) | −2.18233 | − | 3.77990i | −0.529292 | − | 0.916760i | −0.999416 | − | 0.0341600i | \(-0.989124\pi\) |
0.470125 | − | 0.882600i | \(-0.344209\pi\) | |||||||
\(18\) | 1.50246 | − | 0.402582i | 0.354132 | − | 0.0948895i | ||||
\(19\) | −1.02111 | + | 1.02111i | −0.234258 | + | 0.234258i | −0.814467 | − | 0.580209i | \(-0.802971\pi\) |
0.580209 | + | 0.814467i | \(0.302971\pi\) | |||||||
\(20\) | 1.16737 | − | 0.312796i | 0.261032 | − | 0.0699433i | ||||
\(21\) | 2.57685 | + | 0.599883i | 0.562314 | + | 0.130905i | ||||
\(22\) | −4.25828 | + | 7.37555i | −0.907868 | + | 1.57247i | ||||
\(23\) | 7.25058 | + | 4.18612i | 1.51185 | + | 0.872867i | 0.999904 | + | 0.0138492i | \(0.00440848\pi\) |
0.511946 | + | 0.859018i | \(0.328925\pi\) | |||||||
\(24\) | 1.73841 | + | 1.73841i | 0.354851 | + | 0.354851i | ||||
\(25\) | 2.85951 | + | 1.65094i | 0.571901 | + | 0.330187i | ||||
\(26\) | −2.42226 | − | 5.05821i | −0.475045 | − | 0.991996i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −0.322517 | − | 1.06185i | −0.0609499 | − | 0.200671i | ||||
\(29\) | 0.882488 | + | 1.52851i | 0.163874 | + | 0.283838i | 0.936255 | − | 0.351322i | \(-0.114268\pi\) |
−0.772381 | + | 0.635160i | \(0.780934\pi\) | |||||||
\(30\) | − | 4.48173i | − | 0.818249i | ||||||
\(31\) | 0.206540 | + | 0.770818i | 0.0370957 | + | 0.138443i | 0.981990 | − | 0.188932i | \(-0.0605026\pi\) |
−0.944894 | + | 0.327375i | \(0.893836\pi\) | |||||||
\(32\) | 0.604618 | − | 2.25647i | 0.106882 | − | 0.398891i | ||||
\(33\) | 3.87160 | + | 3.87160i | 0.673960 | + | 0.673960i | ||||
\(34\) | 4.80057 | + | 4.80057i | 0.823290 | + | 0.823290i | ||||
\(35\) | 3.59119 | − | 6.72432i | 0.607022 | − | 1.13662i | ||||
\(36\) | −0.363252 | + | 0.209723i | −0.0605420 | + | 0.0349539i | ||||
\(37\) | 1.41417 | + | 5.27775i | 0.232488 | + | 0.867657i | 0.979265 | + | 0.202583i | \(0.0649334\pi\) |
−0.746777 | + | 0.665074i | \(0.768400\pi\) | |||||||
\(38\) | 1.12309 | − | 1.94525i | 0.182189 | − | 0.315561i | ||||
\(39\) | −3.54415 | + | 0.662549i | −0.567519 | + | 0.106093i | ||||
\(40\) | 6.13459 | − | 3.54181i | 0.969965 | − | 0.560009i | ||||
\(41\) | −3.88124 | − | 1.03997i | −0.606147 | − | 0.162417i | −0.0573248 | − | 0.998356i | \(-0.518257\pi\) |
−0.548823 | + | 0.835939i | \(0.684924\pi\) | |||||||
\(42\) | −4.11310 | + | 0.136094i | −0.634665 | + | 0.0209997i | ||||
\(43\) | −5.58033 | − | 3.22180i | −0.850992 | − | 0.491320i | 0.00999354 | − | 0.999950i | \(-0.496819\pi\) |
−0.860985 | + | 0.508630i | \(0.830152\pi\) | |||||||
\(44\) | 0.594400 | − | 2.21833i | 0.0896092 | − | 0.334426i | ||||
\(45\) | −2.78312 | − | 0.745735i | −0.414883 | − | 0.111168i | ||||
\(46\) | −12.5789 | − | 3.37051i | −1.85466 | − | 0.496955i | ||||
\(47\) | −2.28374 | + | 8.52304i | −0.333118 | + | 1.24321i | 0.572777 | + | 0.819711i | \(0.305866\pi\) |
−0.905895 | + | 0.423502i | \(0.860800\pi\) | |||||||
\(48\) | −4.03824 | − | 2.33148i | −0.582870 | − | 0.336520i | ||||
\(49\) | −6.28028 | − | 3.09161i | −0.897183 | − | 0.441659i | ||||
\(50\) | −4.96092 | − | 1.32927i | −0.701580 | − | 0.187988i | ||||
\(51\) | 3.77990 | − | 2.18233i | 0.529292 | − | 0.305587i | ||||
\(52\) | 0.983964 | + | 1.14847i | 0.136451 | + | 0.159264i | ||||
\(53\) | 0.139208 | − | 0.241116i | 0.0191217 | − | 0.0331198i | −0.856306 | − | 0.516468i | \(-0.827246\pi\) |
0.875428 | + | 0.483349i | \(0.160580\pi\) | |||||||
\(54\) | 0.402582 | + | 1.50246i | 0.0547845 | + | 0.204458i | ||||
\(55\) | 13.6623 | − | 7.88795i | 1.84223 | − | 1.06361i | ||||
\(56\) | −3.43677 | − | 5.52246i | −0.459258 | − | 0.737970i | ||||
\(57\) | −1.02111 | − | 1.02111i | −0.135249 | − | 0.135249i | ||||
\(58\) | −1.94125 | − | 1.94125i | −0.254899 | − | 0.254899i | ||||
\(59\) | 1.89004 | − | 7.05373i | 0.246062 | − | 0.918318i | −0.726784 | − | 0.686866i | \(-0.758986\pi\) |
0.972846 | − | 0.231451i | \(-0.0743475\pi\) | |||||||
\(60\) | 0.312796 | + | 1.16737i | 0.0403818 | + | 0.150707i | ||||
\(61\) | − | 4.74239i | − | 0.607200i | −0.952800 | − | 0.303600i | \(-0.901811\pi\) | ||
0.952800 | − | 0.303600i | \(-0.0981887\pi\) | |||||||
\(62\) | −0.620634 | − | 1.07497i | −0.0788207 | − | 0.136521i | ||||
\(63\) | −0.599883 | + | 2.57685i | −0.0755782 | + | 0.324652i | ||||
\(64\) | − | 5.69226i | − | 0.711533i | ||||||
\(65\) | −0.799046 | + | 10.3579i | −0.0991094 | + | 1.28474i | ||||
\(66\) | −7.37555 | − | 4.25828i | −0.907868 | − | 0.524158i | ||||
\(67\) | −1.37307 | − | 1.37307i | −0.167748 | − | 0.167748i | 0.618241 | − | 0.785989i | \(-0.287846\pi\) |
−0.785989 | + | 0.618241i | \(0.787846\pi\) | |||||||
\(68\) | −1.58547 | − | 0.915370i | −0.192266 | − | 0.111005i | ||||
\(69\) | −4.18612 | + | 7.25058i | −0.503950 | + | 0.872867i | ||||
\(70\) | −2.68852 | + | 11.5487i | −0.321339 | + | 1.38034i | ||||
\(71\) | 11.3490 | − | 3.04095i | 1.34688 | − | 0.360894i | 0.487895 | − | 0.872902i | \(-0.337765\pi\) |
0.858981 | + | 0.512008i | \(0.171098\pi\) | |||||||
\(72\) | −1.73841 | + | 1.73841i | −0.204874 | + | 0.204874i | ||||
\(73\) | −13.9107 | + | 3.72736i | −1.62812 | + | 0.436254i | −0.953373 | − | 0.301793i | \(-0.902415\pi\) |
−0.674749 | + | 0.738047i | \(0.735748\pi\) | |||||||
\(74\) | −4.24945 | − | 7.36027i | −0.493989 | − | 0.855614i | ||||
\(75\) | −1.65094 | + | 2.85951i | −0.190634 | + | 0.330187i | ||||
\(76\) | −0.156769 | + | 0.585069i | −0.0179826 | + | 0.0671121i | ||||
\(77\) | −7.65402 | − | 12.2990i | −0.872256 | − | 1.40161i | ||||
\(78\) | 5.05821 | − | 2.42226i | 0.572729 | − | 0.274267i | ||||
\(79\) | −0.431242 | − | 0.746933i | −0.0485185 | − | 0.0840365i | 0.840746 | − | 0.541429i | \(-0.182117\pi\) |
−0.889265 | + | 0.457393i | \(0.848783\pi\) | |||||||
\(80\) | −9.50024 | + | 9.50024i | −1.06216 | + | 1.06216i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 6.25006 | 0.690204 | ||||||||
\(83\) | −4.29551 | + | 4.29551i | −0.471494 | + | 0.471494i | −0.902398 | − | 0.430904i | \(-0.858195\pi\) |
0.430904 | + | 0.902398i | \(0.358195\pi\) | |||||||
\(84\) | 1.06185 | − | 0.322517i | 0.115858 | − | 0.0351895i | ||||
\(85\) | −3.25487 | − | 12.1473i | −0.353040 | − | 1.31756i | ||||
\(86\) | 9.68124 | + | 2.59408i | 1.04395 | + | 0.279727i | ||||
\(87\) | −1.52851 | + | 0.882488i | −0.163874 | + | 0.0946127i | ||||
\(88\) | − | 13.4609i | − | 1.43493i | ||||||
\(89\) | 5.75757 | − | 1.54274i | 0.610301 | − | 0.163530i | 0.0595865 | − | 0.998223i | \(-0.481022\pi\) |
0.550715 | + | 0.834693i | \(0.314355\pi\) | |||||||
\(90\) | 4.48173 | 0.472416 | ||||||||
\(91\) | 9.53019 | + | 0.418792i | 0.999036 | + | 0.0439013i | ||||
\(92\) | 3.51171 | 0.366121 | ||||||||
\(93\) | −0.770818 | + | 0.206540i | −0.0799301 | + | 0.0214172i | ||||
\(94\) | − | 13.7249i | − | 1.41561i | ||||||
\(95\) | −3.60334 | + | 2.08039i | −0.369695 | + | 0.213443i | ||||
\(96\) | 2.25647 | + | 0.604618i | 0.230300 | + | 0.0617086i | ||||
\(97\) | 0.575652 | + | 2.14836i | 0.0584486 | + | 0.218133i | 0.988973 | − | 0.148097i | \(-0.0473149\pi\) |
−0.930524 | + | 0.366230i | \(0.880648\pi\) | |||||||
\(98\) | 10.6805 | + | 2.11669i | 1.07889 | + | 0.213818i | ||||
\(99\) | −3.87160 | + | 3.87160i | −0.389111 | + | 0.389111i | ||||
\(100\) | 1.38496 | 0.138496 | ||||||||
\(101\) | −15.8444 | −1.57657 | −0.788287 | − | 0.615308i | \(-0.789032\pi\) | ||||
−0.788287 | + | 0.615308i | \(0.789032\pi\) | |||||||
\(102\) | −4.80057 | + | 4.80057i | −0.475327 | + | 0.475327i | ||||
\(103\) | 5.32654 | + | 9.22583i | 0.524839 | + | 0.909048i | 0.999582 | + | 0.0289234i | \(0.00920788\pi\) |
−0.474742 | + | 0.880125i | \(0.657459\pi\) | |||||||
\(104\) | 7.31297 | + | 5.00941i | 0.717096 | + | 0.491213i | ||||
\(105\) | 6.72432 | + | 3.59119i | 0.656226 | + | 0.350464i | ||||
\(106\) | −0.112085 | + | 0.418309i | −0.0108867 | + | 0.0406297i | ||||
\(107\) | 7.27563 | − | 12.6018i | 0.703361 | − | 1.21826i | −0.263918 | − | 0.964545i | \(-0.585015\pi\) |
0.967280 | − | 0.253712i | \(-0.0816517\pi\) | |||||||
\(108\) | −0.209723 | − | 0.363252i | −0.0201807 | − | 0.0349539i | ||||
\(109\) | 8.31237 | − | 2.22729i | 0.796181 | − | 0.213336i | 0.162274 | − | 0.986746i | \(-0.448117\pi\) |
0.633906 | + | 0.773410i | \(0.281450\pi\) | |||||||
\(110\) | −17.3515 | + | 17.3515i | −1.65440 | + | 1.65440i | ||||
\(111\) | −5.27775 | + | 1.41417i | −0.500942 | + | 0.134227i | ||||
\(112\) | 9.00731 | + | 8.43034i | 0.851111 | + | 0.796592i | ||||
\(113\) | −6.81406 | + | 11.8023i | −0.641013 | + | 1.11027i | 0.344195 | + | 0.938898i | \(0.388152\pi\) |
−0.985207 | + | 0.171368i | \(0.945181\pi\) | |||||||
\(114\) | 1.94525 | + | 1.12309i | 0.182189 | + | 0.105187i | ||||
\(115\) | 17.0575 | + | 17.0575i | 1.59062 | + | 1.59062i | ||||
\(116\) | 0.641131 | + | 0.370157i | 0.0595275 | + | 0.0343682i | ||||
\(117\) | −0.662549 | − | 3.54415i | −0.0612527 | − | 0.327657i | ||||
\(118\) | 11.3588i | 1.04566i | ||||||||
\(119\) | −11.0494 | + | 3.35602i | −1.01289 | + | 0.307646i | ||||
\(120\) | 3.54181 | + | 6.13459i | 0.323322 | + | 0.560009i | ||||
\(121\) | − | 18.9786i | − | 1.72533i | ||||||
\(122\) | 1.90920 | + | 7.12523i | 0.172851 | + | 0.645088i | ||||
\(123\) | 1.03997 | − | 3.88124i | 0.0937713 | − | 0.349959i | ||||
\(124\) | 0.236685 | + | 0.236685i | 0.0212549 | + | 0.0212549i | ||||
\(125\) | −3.45974 | − | 3.45974i | −0.309448 | − | 0.309448i | ||||
\(126\) | −0.136094 | − | 4.11310i | −0.0121242 | − | 0.366424i | ||||
\(127\) | 3.01715 | − | 1.74195i | 0.267728 | − | 0.154573i | −0.360126 | − | 0.932904i | \(-0.617266\pi\) |
0.627855 | + | 0.778330i | \(0.283933\pi\) | |||||||
\(128\) | 3.50084 | + | 13.0653i | 0.309433 | + | 1.15482i | ||||
\(129\) | 3.22180 | − | 5.58033i | 0.283664 | − | 0.491320i | ||||
\(130\) | −2.96937 | − | 15.8840i | −0.260431 | − | 1.39312i | ||||
\(131\) | −5.01539 | + | 2.89564i | −0.438197 | + | 0.252993i | −0.702832 | − | 0.711356i | \(-0.748082\pi\) |
0.264636 | + | 0.964348i | \(0.414748\pi\) | |||||||
\(132\) | 2.21833 | + | 0.594400i | 0.193081 | + | 0.0517359i | ||||
\(133\) | 2.01869 | + | 3.24378i | 0.175043 | + | 0.281272i | ||||
\(134\) | 2.61576 | + | 1.51021i | 0.225967 | + | 0.130462i | ||||
\(135\) | 0.745735 | − | 2.78312i | 0.0641826 | − | 0.239533i | ||||
\(136\) | −10.3648 | − | 2.77724i | −0.888773 | − | 0.238146i | ||||
\(137\) | 3.31077 | + | 0.887118i | 0.282858 | + | 0.0757916i | 0.397459 | − | 0.917620i | \(-0.369892\pi\) |
−0.114601 | + | 0.993412i | \(0.536559\pi\) | |||||||
\(138\) | 3.37051 | − | 12.5789i | 0.286917 | − | 1.07079i | ||||
\(139\) | 16.1580 | + | 9.32882i | 1.37050 | + | 0.791260i | 0.990991 | − | 0.133927i | \(-0.0427586\pi\) |
0.379512 | + | 0.925187i | \(0.376092\pi\) | |||||||
\(140\) | −0.105741 | − | 3.19578i | −0.00893677 | − | 0.270092i | ||||
\(141\) | −8.52304 | − | 2.28374i | −0.717770 | − | 0.192326i | ||||
\(142\) | −15.8271 | + | 9.13779i | −1.32818 | + | 0.766826i | ||||
\(143\) | 16.2867 | + | 11.1564i | 1.36196 | + | 0.932948i | ||||
\(144\) | 2.33148 | − | 4.03824i | 0.194290 | − | 0.336520i | ||||
\(145\) | 1.31620 | + | 4.91214i | 0.109305 | + | 0.407931i | ||||
\(146\) | 19.3996 | − | 11.2004i | 1.60552 | − | 0.926950i | ||||
\(147\) | 3.09161 | − | 6.28028i | 0.254992 | − | 0.517989i | ||||
\(148\) | 1.62057 | + | 1.62057i | 0.133210 | + | 0.133210i | ||||
\(149\) | −10.1083 | − | 10.1083i | −0.828106 | − | 0.828106i | 0.159149 | − | 0.987255i | \(-0.449125\pi\) |
−0.987255 | + | 0.159149i | \(0.949125\pi\) | |||||||
\(150\) | 1.32927 | − | 4.96092i | 0.108535 | − | 0.405058i | ||||
\(151\) | 0.00532352 | + | 0.0198676i | 0.000433222 | + | 0.00161681i | 0.966142 | − | 0.258011i | \(-0.0830669\pi\) |
−0.965709 | + | 0.259627i | \(0.916400\pi\) | |||||||
\(152\) | 3.55021i | 0.287960i | ||||||||
\(153\) | 2.18233 | + | 3.77990i | 0.176431 | + | 0.305587i | ||||
\(154\) | 16.4512 | + | 15.3974i | 1.32568 | + | 1.24076i | ||||
\(155\) | 2.29930i | 0.184684i | ||||||||
\(156\) | −1.14847 | + | 0.983964i | −0.0919510 | + | 0.0787802i | ||||
\(157\) | 5.26575 | + | 3.04018i | 0.420253 | + | 0.242633i | 0.695185 | − | 0.718830i | \(-0.255322\pi\) |
−0.274933 | + | 0.961463i | \(0.588656\pi\) | |||||||
\(158\) | 0.948624 | + | 0.948624i | 0.0754685 | + | 0.0754685i | ||||
\(159\) | 0.241116 | + | 0.139208i | 0.0191217 | + | 0.0110399i | ||||
\(160\) | 3.36545 | − | 5.82913i | 0.266062 | − | 0.460833i | ||||
\(161\) | 15.1365 | − | 16.1724i | 1.19292 | − | 1.27457i | ||||
\(162\) | −1.50246 | + | 0.402582i | −0.118044 | + | 0.0316298i | ||||
\(163\) | −10.0711 | + | 10.0711i | −0.788827 | + | 0.788827i | −0.981302 | − | 0.192475i | \(-0.938349\pi\) |
0.192475 | + | 0.981302i | \(0.438349\pi\) | |||||||
\(164\) | −1.62797 | + | 0.436214i | −0.127123 | + | 0.0340626i | ||||
\(165\) | 7.88795 | + | 13.6623i | 0.614076 | + | 1.06361i | ||||
\(166\) | 4.72452 | − | 8.18312i | 0.366694 | − | 0.635133i | ||||
\(167\) | 0.579671 | − | 2.16336i | 0.0448563 | − | 0.167406i | −0.939864 | − | 0.341548i | \(-0.889049\pi\) |
0.984720 | + | 0.174142i | \(0.0557153\pi\) | |||||||
\(168\) | 5.52246 | − | 3.43677i | 0.426067 | − | 0.265153i | ||||
\(169\) | −12.1221 | + | 4.69635i | −0.932466 | + | 0.361258i | ||||
\(170\) | 9.78060 | + | 16.9405i | 0.750138 | + | 1.29928i | ||||
\(171\) | 1.02111 | − | 1.02111i | 0.0780861 | − | 0.0780861i | ||||
\(172\) | −2.70275 | −0.206083 | ||||||||
\(173\) | −3.24988 | −0.247084 | −0.123542 | − | 0.992339i | \(-0.539425\pi\) | ||||
−0.123542 | + | 0.992339i | \(0.539425\pi\) | |||||||
\(174\) | 1.94125 | − | 1.94125i | 0.147166 | − | 0.147166i | ||||
\(175\) | 5.96958 | − | 6.37814i | 0.451258 | − | 0.482142i | ||||
\(176\) | 6.60790 | + | 24.6610i | 0.498089 | + | 1.85889i | ||||
\(177\) | 7.05373 | + | 1.89004i | 0.530191 | + | 0.142064i | ||||
\(178\) | −8.02942 | + | 4.63579i | −0.601831 | + | 0.347467i | ||||
\(179\) | − | 21.1701i | − | 1.58233i | −0.611603 | − | 0.791165i | \(-0.709475\pi\) | ||
0.611603 | − | 0.791165i | \(-0.290525\pi\) | |||||||
\(180\) | −1.16737 | + | 0.312796i | −0.0870107 | + | 0.0233144i | ||||
\(181\) | −18.5217 | −1.37671 | −0.688353 | − | 0.725376i | \(-0.741666\pi\) | ||||
−0.688353 | + | 0.725376i | \(0.741666\pi\) | |||||||
\(182\) | −14.4873 | + | 3.20747i | −1.07387 | + | 0.237753i | ||||
\(183\) | 4.74239 | 0.350567 | ||||||||
\(184\) | 19.8817 | − | 5.32728i | 1.46570 | − | 0.392732i | ||||
\(185\) | 15.7432i | 1.15746i | ||||||||
\(186\) | 1.07497 | − | 0.620634i | 0.0788207 | − | 0.0455071i | ||||
\(187\) | −23.0834 | − | 6.18517i | −1.68802 | − | 0.452304i | ||||
\(188\) | 0.957909 | + | 3.57496i | 0.0698627 | + | 0.260731i | ||||
\(189\) | −2.57685 | − | 0.599883i | −0.187438 | − | 0.0436351i | ||||
\(190\) | 4.57633 | − | 4.57633i | 0.332002 | − | 0.332002i | ||||
\(191\) | −27.4180 | −1.98390 | −0.991948 | − | 0.126649i | \(-0.959578\pi\) | ||||
−0.991948 | + | 0.126649i | \(0.959578\pi\) | |||||||
\(192\) | 5.69226 | 0.410804 | ||||||||
\(193\) | −13.4853 | + | 13.4853i | −0.970695 | + | 0.970695i | −0.999583 | − | 0.0288876i | \(-0.990804\pi\) |
0.0288876 | + | 0.999583i | \(0.490804\pi\) | |||||||
\(194\) | −1.72978 | − | 2.99607i | −0.124191 | − | 0.215105i | ||||
\(195\) | −10.3579 | − | 0.799046i | −0.741744 | − | 0.0572208i | ||||
\(196\) | −2.92971 | + | 0.194088i | −0.209265 | + | 0.0138634i | ||||
\(197\) | 1.20155 | − | 4.48424i | 0.0856068 | − | 0.319489i | −0.909822 | − | 0.415000i | \(-0.863782\pi\) |
0.995428 | + | 0.0955106i | \(0.0304484\pi\) | |||||||
\(198\) | 4.25828 | − | 7.37555i | 0.302623 | − | 0.524158i | ||||
\(199\) | −0.223560 | − | 0.387218i | −0.0158478 | − | 0.0274492i | 0.857993 | − | 0.513662i | \(-0.171711\pi\) |
−0.873841 | + | 0.486213i | \(0.838378\pi\) | |||||||
\(200\) | 7.84100 | − | 2.10099i | 0.554442 | − | 0.148562i | ||||
\(201\) | 1.37307 | − | 1.37307i | 0.0968491 | − | 0.0968491i | ||||
\(202\) | 23.8055 | − | 6.37866i | 1.67495 | − | 0.448801i | ||||
\(203\) | 4.46814 | − | 1.35711i | 0.313602 | − | 0.0952502i | ||||
\(204\) | 0.915370 | − | 1.58547i | 0.0640887 | − | 0.111005i | ||||
\(205\) | −10.0264 | − | 5.78875i | −0.700274 | − | 0.404303i | ||||
\(206\) | −11.7170 | − | 11.7170i | −0.816365 | − | 0.816365i | ||||
\(207\) | −7.25058 | − | 4.18612i | −0.503950 | − | 0.290956i | ||||
\(208\) | −15.8569 | − | 5.58759i | −1.09948 | − | 0.387430i | ||||
\(209\) | 7.90665i | 0.546914i | ||||||||
\(210\) | −11.5487 | − | 2.68852i | −0.796939 | − | 0.185525i | ||||
\(211\) | −14.3795 | − | 24.9060i | −0.989924 | − | 1.71460i | −0.617592 | − | 0.786498i | \(-0.711892\pi\) |
−0.372331 | − | 0.928100i | \(-0.621442\pi\) | |||||||
\(212\) | − | 0.116781i | − | 0.00802055i | ||||||
\(213\) | 3.04095 | + | 11.3490i | 0.208362 | + | 0.777619i | ||||
\(214\) | −5.85807 | + | 21.8626i | −0.400449 | + | 1.49450i | ||||
\(215\) | −13.1281 | − | 13.1281i | −0.895329 | − | 0.895329i | ||||
\(216\) | −1.73841 | − | 1.73841i | −0.118284 | − | 0.118284i | ||||
\(217\) | 2.11018 | − | 0.0698212i | 0.143248 | − | 0.00473977i | ||||
\(218\) | −11.5923 | + | 6.69282i | −0.785130 | + | 0.453295i | ||||
\(219\) | −3.72736 | − | 13.9107i | −0.251871 | − | 0.939997i | ||||
\(220\) | 3.30857 | − | 5.73062i | 0.223064 | − | 0.386358i | ||||
\(221\) | 11.9506 | − | 10.2389i | 0.803887 | − | 0.688741i | ||||
\(222\) | 7.36027 | − | 4.24945i | 0.493989 | − | 0.285205i | ||||
\(223\) | −14.0758 | − | 3.77160i | −0.942586 | − | 0.252565i | −0.245372 | − | 0.969429i | \(-0.578910\pi\) |
−0.697213 | + | 0.716864i | \(0.745577\pi\) | |||||||
\(224\) | −5.45187 | − | 2.91163i | −0.364268 | − | 0.194541i | ||||
\(225\) | −2.85951 | − | 1.65094i | −0.190634 | − | 0.110062i | ||||
\(226\) | 5.48643 | − | 20.4756i | 0.364952 | − | 1.36202i | ||||
\(227\) | 17.3155 | + | 4.63969i | 1.14927 | + | 0.307947i | 0.782674 | − | 0.622432i | \(-0.213855\pi\) |
0.366599 | + | 0.930379i | \(0.380522\pi\) | |||||||
\(228\) | −0.585069 | − | 0.156769i | −0.0387472 | − | 0.0103823i | ||||
\(229\) | −1.77229 | + | 6.61427i | −0.117116 | + | 0.437083i | −0.999437 | − | 0.0335661i | \(-0.989314\pi\) |
0.882320 | + | 0.470649i | \(0.155980\pi\) | |||||||
\(230\) | −32.4952 | − | 18.7611i | −2.14267 | − | 1.23707i | ||||
\(231\) | 12.2990 | − | 7.65402i | 0.809217 | − | 0.503597i | ||||
\(232\) | 4.19131 | + | 1.12306i | 0.275173 | + | 0.0737324i | ||||
\(233\) | −6.74247 | + | 3.89276i | −0.441714 | + | 0.255023i | −0.704324 | − | 0.709878i | \(-0.748750\pi\) |
0.262611 | + | 0.964902i | \(0.415417\pi\) | |||||||
\(234\) | 2.42226 | + | 5.05821i | 0.158348 | + | 0.330665i | ||||
\(235\) | −12.7119 | + | 22.0176i | −0.829230 | + | 1.43627i | ||||
\(236\) | −0.792772 | − | 2.95867i | −0.0516051 | − | 0.192593i | ||||
\(237\) | 0.746933 | − | 0.431242i | 0.0485185 | − | 0.0280122i | ||||
\(238\) | 15.2501 | − | 9.49055i | 0.988518 | − | 0.615181i | ||||
\(239\) | −2.22428 | − | 2.22428i | −0.143877 | − | 0.143877i | 0.631499 | − | 0.775376i | \(-0.282440\pi\) |
−0.775376 | + | 0.631499i | \(0.782440\pi\) | |||||||
\(240\) | −9.50024 | − | 9.50024i | −0.613238 | − | 0.613238i | ||||
\(241\) | −2.32406 | + | 8.67353i | −0.149706 | + | 0.558711i | 0.849795 | + | 0.527114i | \(0.176726\pi\) |
−0.999501 | + | 0.0315969i | \(0.989941\pi\) | |||||||
\(242\) | 7.64045 | + | 28.5146i | 0.491147 | + | 1.83298i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −0.994590 | − | 1.72268i | −0.0636721 | − | 0.110283i | ||||
\(245\) | −15.1732 | − | 13.2878i | −0.969383 | − | 0.848924i | ||||
\(246\) | 6.25006i | 0.398489i | ||||||||
\(247\) | −4.29550 | − | 2.94243i | −0.273316 | − | 0.187222i | ||||
\(248\) | 1.69905 | + | 0.980946i | 0.107890 | + | 0.0622901i | ||||
\(249\) | −4.29551 | − | 4.29551i | −0.272217 | − | 0.272217i | ||||
\(250\) | 6.59093 | + | 3.80527i | 0.416847 | + | 0.240667i | ||||
\(251\) | −12.3486 | + | 21.3883i | −0.779434 | + | 1.35002i | 0.152835 | + | 0.988252i | \(0.451160\pi\) |
−0.932269 | + | 0.361767i | \(0.882174\pi\) | |||||||
\(252\) | 0.322517 | + | 1.06185i | 0.0203166 | + | 0.0668905i | ||||
\(253\) | 44.2784 | − | 11.8644i | 2.78376 | − | 0.745905i | ||||
\(254\) | −3.83185 | + | 3.83185i | −0.240432 | + | 0.240432i | ||||
\(255\) | 12.1473 | − | 3.25487i | 0.760696 | − | 0.203828i | ||||
\(256\) | −4.82745 | − | 8.36139i | −0.301716 | − | 0.522587i | ||||
\(257\) | −3.07554 | + | 5.32699i | −0.191847 | + | 0.332288i | −0.945862 | − | 0.324568i | \(-0.894781\pi\) |
0.754015 | + | 0.656857i | \(0.228114\pi\) | |||||||
\(258\) | −2.59408 | + | 9.68124i | −0.161500 | + | 0.602727i | ||||
\(259\) | 14.4483 | − | 0.478063i | 0.897773 | − | 0.0297054i | ||||
\(260\) | 1.88204 | + | 3.93010i | 0.116719 | + | 0.243734i | ||||
\(261\) | −0.882488 | − | 1.52851i | −0.0546247 | − | 0.0946127i | ||||
\(262\) | 6.36967 | − | 6.36967i | 0.393520 | − | 0.393520i | ||||
\(263\) | 17.1492 | 1.05747 | 0.528733 | − | 0.848788i | \(-0.322667\pi\) | ||||
0.528733 | + | 0.848788i | \(0.322667\pi\) | |||||||
\(264\) | 13.4609 | 0.828459 | ||||||||
\(265\) | 0.567242 | − | 0.567242i | 0.0348454 | − | 0.0348454i | ||||
\(266\) | −4.33889 | − | 4.06095i | −0.266034 | − | 0.248993i | ||||
\(267\) | 1.54274 | + | 5.75757i | 0.0944140 | + | 0.352358i | ||||
\(268\) | −0.786737 | − | 0.210806i | −0.0480576 | − | 0.0128770i | ||||
\(269\) | 2.00185 | − | 1.15577i | 0.122055 | − | 0.0704685i | −0.437729 | − | 0.899107i | \(-0.644217\pi\) |
0.559785 | + | 0.828638i | \(0.310884\pi\) | |||||||
\(270\) | 4.48173i | 0.272750i | ||||||||
\(271\) | −6.25936 | + | 1.67719i | −0.380229 | + | 0.101882i | −0.443871 | − | 0.896091i | \(-0.646395\pi\) |
0.0636420 | + | 0.997973i | \(0.479728\pi\) | |||||||
\(272\) | 20.3522 | 1.23403 | ||||||||
\(273\) | −0.418792 | + | 9.53019i | −0.0253464 | + | 0.576794i | ||||
\(274\) | −5.33142 | −0.322083 | ||||||||
\(275\) | 17.4627 | − | 4.67910i | 1.05304 | − | 0.282161i | ||||
\(276\) | 3.51171i | 0.211380i | ||||||||
\(277\) | −20.9378 | + | 12.0884i | −1.25803 | + | 0.726323i | −0.972691 | − | 0.232105i | \(-0.925439\pi\) |
−0.285337 | + | 0.958427i | \(0.592105\pi\) | |||||||
\(278\) | −28.0323 | − | 7.51123i | −1.68127 | − | 0.450494i | ||||
\(279\) | −0.206540 | − | 0.770818i | −0.0123652 | − | 0.0461476i | ||||
\(280\) | −5.44666 | − | 17.9326i | −0.325500 | − | 1.07168i | ||||
\(281\) | 18.6196 | − | 18.6196i | 1.11075 | − | 1.11075i | 0.117703 | − | 0.993049i | \(-0.462447\pi\) |
0.993049 | − | 0.117703i | \(-0.0375532\pi\) | |||||||
\(282\) | 13.7249 | 0.817306 | ||||||||
\(283\) | −12.5046 | −0.743322 | −0.371661 | − | 0.928369i | \(-0.621212\pi\) | ||||
−0.371661 | + | 0.928369i | \(0.621212\pi\) | |||||||
\(284\) | 3.48478 | − | 3.48478i | 0.206783 | − | 0.206783i | ||||
\(285\) | −2.08039 | − | 3.60334i | −0.123232 | − | 0.213443i | ||||
\(286\) | −28.9614 | − | 10.2053i | −1.71252 | − | 0.603454i | ||||
\(287\) | −5.00814 | + | 9.37749i | −0.295621 | + | 0.553536i | ||||
\(288\) | −0.604618 | + | 2.25647i | −0.0356275 | + | 0.132964i | ||||
\(289\) | −1.02509 | + | 1.77550i | −0.0602992 | + | 0.104441i | ||||
\(290\) | −3.95508 | − | 6.85040i | −0.232250 | − | 0.402269i | ||||
\(291\) | −2.14836 | + | 0.575652i | −0.125939 | + | 0.0337453i | ||||
\(292\) | −4.27137 | + | 4.27137i | −0.249963 | + | 0.249963i | ||||
\(293\) | 0.0851383 | − | 0.0228127i | 0.00497383 | − | 0.00133274i | −0.256331 | − | 0.966589i | \(-0.582514\pi\) |
0.261305 | + | 0.965256i | \(0.415847\pi\) | |||||||
\(294\) | −2.11669 | + | 10.6805i | −0.123448 | + | 0.622898i | ||||
\(295\) | 10.5204 | − | 18.2219i | 0.612523 | − | 1.06092i | ||||
\(296\) | 11.6333 | + | 6.71649i | 0.676172 | + | 0.390388i | ||||
\(297\) | −3.87160 | − | 3.87160i | −0.224653 | − | 0.224653i | ||||
\(298\) | 19.2567 | + | 11.1179i | 1.11551 | + | 0.644042i | ||||
\(299\) | −10.0324 | + | 28.4707i | −0.580189 | + | 1.64650i | ||||
\(300\) | 1.38496i | 0.0799608i | ||||||||
\(301\) | −11.6496 | + | 12.4469i | −0.671474 | + | 0.717430i | ||||
\(302\) | −0.0159967 | − | 0.0277071i | −0.000920507 | − | 0.00159436i | ||||
\(303\) | − | 15.8444i | − | 0.910235i | ||||||
\(304\) | −1.74279 | − | 6.50417i | −0.0999557 | − | 0.373040i | ||||
\(305\) | 3.53656 | − | 13.1986i | 0.202503 | − | 0.755751i | ||||
\(306\) | −4.80057 | − | 4.80057i | −0.274430 | − | 0.274430i | ||||
\(307\) | 7.58728 | + | 7.58728i | 0.433029 | + | 0.433029i | 0.889658 | − | 0.456628i | \(-0.150943\pi\) |
−0.456628 | + | 0.889658i | \(0.650943\pi\) | |||||||
\(308\) | −5.35973 | − | 2.86242i | −0.305399 | − | 0.163101i | ||||
\(309\) | −9.22583 | + | 5.32654i | −0.524839 | + | 0.303016i | ||||
\(310\) | −0.925657 | − | 3.45460i | −0.0525738 | − | 0.196208i | ||||
\(311\) | 15.1148 | − | 26.1796i | 0.857082 | − | 1.48451i | −0.0176172 | − | 0.999845i | \(-0.505608\pi\) |
0.874700 | − | 0.484665i | \(-0.161059\pi\) | |||||||
\(312\) | −5.00941 | + | 7.31297i | −0.283602 | + | 0.414016i | ||||
\(313\) | 24.9891 | − | 14.4275i | 1.41247 | − | 0.815489i | 0.416849 | − | 0.908976i | \(-0.363135\pi\) |
0.995621 | + | 0.0934866i | \(0.0298012\pi\) | |||||||
\(314\) | −9.13548 | − | 2.44784i | −0.515545 | − | 0.138140i | ||||
\(315\) | −3.59119 | + | 6.72432i | −0.202341 | + | 0.378872i | ||||
\(316\) | −0.313299 | − | 0.180883i | −0.0176244 | − | 0.0101755i | ||||
\(317\) | −4.34297 | + | 16.2082i | −0.243926 | + | 0.910343i | 0.729995 | + | 0.683453i | \(0.239523\pi\) |
−0.973920 | + | 0.226890i | \(0.927144\pi\) | |||||||
\(318\) | −0.418309 | − | 0.112085i | −0.0234576 | − | 0.00628544i | ||||
\(319\) | 9.33445 | + | 2.50116i | 0.522629 | + | 0.140038i | ||||
\(320\) | 4.24492 | − | 15.8423i | 0.237298 | − | 0.885609i | ||||
\(321\) | 12.6018 | + | 7.27563i | 0.703361 | + | 0.406086i | ||||
\(322\) | −16.2312 | + | 30.3921i | −0.904529 | + | 1.69368i | ||||
\(323\) | 6.08807 | + | 1.63129i | 0.338749 | + | 0.0907676i | ||||
\(324\) | 0.363252 | − | 0.209723i | 0.0201807 | − | 0.0116513i | ||||
\(325\) | −3.95661 | + | 11.2284i | −0.219473 | + | 0.622837i | ||||
\(326\) | 11.0769 | − | 19.1858i | 0.613493 | − | 1.06260i | ||||
\(327\) | 2.22729 | + | 8.31237i | 0.123170 | + | 0.459675i | ||||
\(328\) | −8.55508 | + | 4.93928i | −0.472375 | + | 0.272726i | ||||
\(329\) | 20.5926 | + | 10.9977i | 1.13531 | + | 0.606322i | ||||
\(330\) | −17.3515 | − | 17.3515i | −0.955169 | − | 0.955169i | ||||
\(331\) | 4.44970 | + | 4.44970i | 0.244577 | + | 0.244577i | 0.818741 | − | 0.574163i | \(-0.194673\pi\) |
−0.574163 | + | 0.818741i | \(0.694673\pi\) | |||||||
\(332\) | −0.659482 | + | 2.46122i | −0.0361938 | + | 0.135077i | ||||
\(333\) | −1.41417 | − | 5.27775i | −0.0774960 | − | 0.289219i | ||||
\(334\) | 3.48372i | 0.190621i | ||||||||
\(335\) | −2.79748 | − | 4.84538i | −0.152843 | − | 0.264731i | ||||
\(336\) | −8.43034 | + | 9.00731i | −0.459913 | + | 0.491389i | ||||
\(337\) | 17.1415i | 0.933758i | 0.884321 | + | 0.466879i | \(0.154622\pi\) | ||||
−0.884321 | + | 0.466879i | \(0.845378\pi\) | |||||||
\(338\) | 16.3222 | − | 11.9362i | 0.887810 | − | 0.649243i | ||||
\(339\) | −11.8023 | − | 6.81406i | −0.641013 | − | 0.370089i | ||||
\(340\) | −3.72992 | − | 3.72992i | −0.202283 | − | 0.202283i | ||||
\(341\) | 3.78394 | + | 2.18466i | 0.204912 | + | 0.118306i | ||||
\(342\) | −1.12309 | + | 1.94525i | −0.0607298 | + | 0.105187i | ||||
\(343\) | −11.7341 | + | 14.3287i | −0.633579 | + | 0.773678i | ||||
\(344\) | −15.3017 | + | 4.10008i | −0.825013 | + | 0.221062i | ||||
\(345\) | −17.0575 | + | 17.0575i | −0.918344 | + | 0.918344i | ||||
\(346\) | 4.88281 | − | 1.30834i | 0.262501 | − | 0.0703370i | ||||
\(347\) | −2.11487 | − | 3.66307i | −0.113532 | − | 0.196644i | 0.803660 | − | 0.595089i | \(-0.202883\pi\) |
−0.917192 | + | 0.398445i | \(0.869550\pi\) | |||||||
\(348\) | −0.370157 | + | 0.641131i | −0.0198425 | + | 0.0343682i | ||||
\(349\) | −4.82352 | + | 18.0016i | −0.258197 | + | 0.963605i | 0.708087 | + | 0.706125i | \(0.249559\pi\) |
−0.966284 | + | 0.257479i | \(0.917108\pi\) | |||||||
\(350\) | −6.40131 | + | 11.9861i | −0.342165 | + | 0.640685i | ||||
\(351\) | 3.54415 | − | 0.662549i | 0.189173 | − | 0.0353642i | ||||
\(352\) | −6.39530 | − | 11.0770i | −0.340871 | − | 0.590405i | ||||
\(353\) | 3.14985 | − | 3.14985i | 0.167650 | − | 0.167650i | −0.618296 | − | 0.785945i | \(-0.712177\pi\) |
0.785945 | + | 0.618296i | \(0.212177\pi\) | |||||||
\(354\) | −11.3588 | −0.603714 | ||||||||
\(355\) | 33.8533 | 1.79675 | ||||||||
\(356\) | 1.76790 | − | 1.76790i | 0.0936985 | − | 0.0936985i | ||||
\(357\) | −3.35602 | − | 11.0494i | −0.177619 | − | 0.584794i | ||||
\(358\) | 8.52271 | + | 31.8072i | 0.450439 | + | 1.68106i | ||||
\(359\) | 15.8524 | + | 4.24764i | 0.836657 | + | 0.224182i | 0.651616 | − | 0.758549i | \(-0.274091\pi\) |
0.185041 | + | 0.982731i | \(0.440758\pi\) | |||||||
\(360\) | −6.13459 | + | 3.54181i | −0.323322 | + | 0.186670i | ||||
\(361\) | 16.9147i | 0.890246i | ||||||||
\(362\) | 27.8280 | − | 7.45649i | 1.46261 | − | 0.391905i | ||||
\(363\) | 18.9786 | 0.996119 | ||||||||
\(364\) | 3.54969 | − | 1.84658i | 0.186054 | − | 0.0967870i | ||||
\(365\) | −41.4947 | −2.17193 | ||||||||
\(366\) | −7.12523 | + | 1.90920i | −0.372442 | + | 0.0997955i | ||||
\(367\) | − | 27.9299i | − | 1.45793i | −0.684552 | − | 0.728964i | \(-0.740002\pi\) | ||
0.684552 | − | 0.728964i | \(-0.259998\pi\) | |||||||
\(368\) | −33.8091 | + | 19.5197i | −1.76242 | + | 1.01754i | ||||
\(369\) | 3.88124 | + | 1.03997i | 0.202049 | + | 0.0541389i | ||||
\(370\) | −6.33793 | − | 23.6535i | −0.329493 | − | 1.22969i | ||||
\(371\) | −0.537810 | − | 0.503360i | −0.0279217 | − | 0.0261331i | ||||
\(372\) | −0.236685 | + | 0.236685i | −0.0122715 | + | 0.0122715i | ||||
\(373\) | −5.84813 | −0.302805 | −0.151402 | − | 0.988472i | \(-0.548379\pi\) | ||||
−0.151402 | + | 0.988472i | \(0.548379\pi\) | |||||||
\(374\) | 37.1718 | 1.92211 | ||||||||
\(375\) | 3.45974 | − | 3.45974i | 0.178660 | − | 0.178660i | ||||
\(376\) | 10.8465 | + | 18.7866i | 0.559364 | + | 0.968846i | ||||
\(377\) | −4.83260 | + | 4.14039i | −0.248892 | + | 0.213241i | ||||
\(378\) | 4.11310 | − | 0.136094i | 0.211555 | − | 0.00699990i | ||||
\(379\) | −0.411597 | + | 1.53610i | −0.0211423 | + | 0.0789043i | −0.975691 | − | 0.219151i | \(-0.929671\pi\) |
0.954549 | + | 0.298055i | \(0.0963380\pi\) | |||||||
\(380\) | −0.872613 | + | 1.51141i | −0.0447641 | + | 0.0775337i | ||||
\(381\) | 1.74195 | + | 3.01715i | 0.0892428 | + | 0.154573i | ||||
\(382\) | 41.1943 | − | 11.0380i | 2.10768 | − | 0.564752i | ||||
\(383\) | −9.95949 | + | 9.95949i | −0.508906 | + | 0.508906i | −0.914191 | − | 0.405285i | \(-0.867172\pi\) |
0.405285 | + | 0.914191i | \(0.367172\pi\) | |||||||
\(384\) | −13.0653 | + | 3.50084i | −0.666736 | + | 0.178651i | ||||
\(385\) | −12.1302 | − | 39.9376i | −0.618214 | − | 2.03541i | ||||
\(386\) | 14.8322 | − | 25.6901i | 0.754937 | − | 1.30759i | ||||
\(387\) | 5.58033 | + | 3.22180i | 0.283664 | + | 0.163773i | ||||
\(388\) | 0.659668 | + | 0.659668i | 0.0334896 | + | 0.0334896i | ||||
\(389\) | −0.216783 | − | 0.125160i | −0.0109913 | − | 0.00634584i | 0.494494 | − | 0.869181i | \(-0.335353\pi\) |
−0.505486 | + | 0.862835i | \(0.668687\pi\) | |||||||
\(390\) | 15.8840 | − | 2.96937i | 0.804315 | − | 0.150360i | ||||
\(391\) | − | 36.5419i | − | 1.84800i | ||||||
\(392\) | −16.2922 | + | 5.54321i | −0.822880 | + | 0.279974i | ||||
\(393\) | −2.89564 | − | 5.01539i | −0.146066 | − | 0.252993i | ||||
\(394\) | 7.22110i | 0.363794i | ||||||||
\(395\) | −0.643184 | − | 2.40040i | −0.0323621 | − | 0.120777i | ||||
\(396\) | −0.594400 | + | 2.21833i | −0.0298697 | + | 0.111475i | ||||
\(397\) | −4.76132 | − | 4.76132i | −0.238964 | − | 0.238964i | 0.577457 | − | 0.816421i | \(-0.304045\pi\) |
−0.816421 | + | 0.577457i | \(0.804045\pi\) | |||||||
\(398\) | 0.491777 | + | 0.491777i | 0.0246505 | + | 0.0246505i | ||||
\(399\) | −3.24378 | + | 2.01869i | −0.162392 | + | 0.101061i | ||||
\(400\) | −13.3338 | + | 7.69825i | −0.666688 | + | 0.384913i | ||||
\(401\) | −7.46297 | − | 27.8522i | −0.372683 | − | 1.39087i | −0.856701 | − | 0.515813i | \(-0.827490\pi\) |
0.484018 | − | 0.875058i | \(-0.339177\pi\) | |||||||
\(402\) | −1.51021 | + | 2.61576i | −0.0753223 | + | 0.130462i | ||||
\(403\) | −2.59505 | + | 1.24271i | −0.129269 | + | 0.0619040i | ||||
\(404\) | −5.75549 | + | 3.32294i | −0.286347 | + | 0.165322i | ||||
\(405\) | 2.78312 | + | 0.745735i | 0.138294 | + | 0.0370559i | ||||
\(406\) | −6.16683 | + | 3.83779i | −0.306055 | + | 0.190466i | ||||
\(407\) | 25.9085 | + | 14.9583i | 1.28423 | + | 0.741453i | ||||
\(408\) | 2.77724 | − | 10.3648i | 0.137494 | − | 0.513133i | ||||
\(409\) | 26.0399 | + | 6.97737i | 1.28759 | + | 0.345009i | 0.836745 | − | 0.547593i | \(-0.184456\pi\) |
0.450846 | + | 0.892602i | \(0.351123\pi\) | |||||||
\(410\) | 17.3947 | + | 4.66089i | 0.859062 | + | 0.230185i | ||||
\(411\) | −0.887118 | + | 3.31077i | −0.0437583 | + | 0.163308i | ||||
\(412\) | 3.86975 | + | 2.23420i | 0.190649 | + | 0.110071i | ||||
\(413\) | −17.0426 | − | 9.10176i | −0.838611 | − | 0.447869i | ||||
\(414\) | 12.5789 | + | 3.37051i | 0.618221 | + | 0.165652i | ||||
\(415\) | −15.1582 | + | 8.75161i | −0.744089 | + | 0.429600i | ||||
\(416\) | 8.39786 | + | 0.647841i | 0.411739 | + | 0.0317630i | ||||
\(417\) | −9.32882 | + | 16.1580i | −0.456834 | + | 0.791260i | ||||
\(418\) | −3.18307 | − | 11.8794i | −0.155689 | − | 0.581040i | ||||
\(419\) | −12.0707 | + | 6.96900i | −0.589691 | + | 0.340458i | −0.764975 | − | 0.644060i | \(-0.777249\pi\) |
0.175284 | + | 0.984518i | \(0.443916\pi\) | |||||||
\(420\) | 3.19578 | − | 0.105741i | 0.155938 | − | 0.00515965i | ||||
\(421\) | 15.9864 | + | 15.9864i | 0.779131 | + | 0.779131i | 0.979683 | − | 0.200552i | \(-0.0642735\pi\) |
−0.200552 | + | 0.979683i | \(0.564274\pi\) | |||||||
\(422\) | 31.6312 | + | 31.6312i | 1.53978 | + | 1.53978i | ||||
\(423\) | 2.28374 | − | 8.52304i | 0.111039 | − | 0.414405i | ||||
\(424\) | −0.177157 | − | 0.661159i | −0.00860351 | − | 0.0321087i | ||||
\(425\) | − | 14.4115i | − | 0.699062i | ||||||
\(426\) | −9.13779 | − | 15.8271i | −0.442727 | − | 0.766826i | ||||
\(427\) | −12.2204 | − | 2.84488i | −0.591387 | − | 0.137673i | ||||
\(428\) | − | 6.10348i | − | 0.295023i | ||||||
\(429\) | −11.1564 | + | 16.2867i | −0.538638 | + | 0.786329i | ||||
\(430\) | 25.0095 | + | 14.4393i | 1.20607 | + | 0.696323i | ||||
\(431\) | −2.27636 | − | 2.27636i | −0.109648 | − | 0.109648i | 0.650154 | − | 0.759802i | \(-0.274704\pi\) |
−0.759802 | + | 0.650154i | \(0.774704\pi\) | |||||||
\(432\) | 4.03824 | + | 2.33148i | 0.194290 | + | 0.112173i | ||||
\(433\) | 5.34137 | − | 9.25152i | 0.256690 | − | 0.444600i | −0.708663 | − | 0.705547i | \(-0.750701\pi\) |
0.965353 | + | 0.260947i | \(0.0840348\pi\) | |||||||
\(434\) | −3.14234 | + | 0.954423i | −0.150837 | + | 0.0458138i | ||||
\(435\) | −4.91214 | + | 1.31620i | −0.235519 | + | 0.0631072i | ||||
\(436\) | 2.55237 | − | 2.55237i | 0.122236 | − | 0.122236i | ||||
\(437\) | −11.6781 | + | 3.12914i | −0.558639 | + | 0.149687i | ||||
\(438\) | 11.2004 | + | 19.3996i | 0.535175 | + | 0.926950i | ||||
\(439\) | 7.28052 | − | 12.6102i | 0.347480 | − | 0.601854i | −0.638321 | − | 0.769770i | \(-0.720371\pi\) |
0.985801 | + | 0.167917i | \(0.0537040\pi\) | |||||||
\(440\) | 10.0382 | − | 37.4632i | 0.478554 | − | 1.78599i | ||||
\(441\) | 6.28028 | + | 3.09161i | 0.299061 | + | 0.147220i | ||||
\(442\) | −13.8333 | + | 20.1946i | −0.657985 | + | 0.960557i | ||||
\(443\) | −2.49941 | − | 4.32911i | −0.118751 | − | 0.205682i | 0.800522 | − | 0.599303i | \(-0.204556\pi\) |
−0.919273 | + | 0.393621i | \(0.871222\pi\) | |||||||
\(444\) | −1.62057 | + | 1.62057i | −0.0769087 | + | 0.0769087i | ||||
\(445\) | 17.1745 | 0.814149 | ||||||||
\(446\) | 22.6667 | 1.07330 | ||||||||
\(447\) | 10.1083 | − | 10.1083i | 0.478107 | − | 0.478107i | ||||
\(448\) | −14.6681 | − | 3.41469i | −0.693002 | − | 0.161329i | ||||
\(449\) | 6.89362 | + | 25.7273i | 0.325330 | + | 1.21415i | 0.913980 | + | 0.405760i | \(0.132993\pi\) |
−0.588650 | + | 0.808388i | \(0.700340\pi\) | |||||||
\(450\) | 4.96092 | + | 1.32927i | 0.233860 | + | 0.0626626i | ||||
\(451\) | −19.0530 | + | 11.0002i | −0.897170 | + | 0.517981i | ||||
\(452\) | 5.71627i | 0.268871i | ||||||||
\(453\) | −0.0198676 | + | 0.00532352i | −0.000933463 | + | 0.000250121i | ||||
\(454\) | −27.8837 | −1.30865 | ||||||||
\(455\) | 26.2114 | + | 8.27254i | 1.22881 | + | 0.387823i | ||||
\(456\) | −3.55021 | −0.166254 | ||||||||
\(457\) | 12.0928 | − | 3.24025i | 0.565676 | − | 0.151572i | 0.0353630 | − | 0.999375i | \(-0.488741\pi\) |
0.530313 | + | 0.847802i | \(0.322075\pi\) | |||||||
\(458\) | − | 10.6511i | − | 0.497695i | ||||||
\(459\) | −3.77990 | + | 2.18233i | −0.176431 | + | 0.101862i | ||||
\(460\) | 9.77352 | + | 2.61881i | 0.455693 | + | 0.122102i | ||||
\(461\) | −2.58295 | − | 9.63971i | −0.120300 | − | 0.448966i | 0.879329 | − | 0.476216i | \(-0.157992\pi\) |
−0.999629 | + | 0.0272495i | \(0.991325\pi\) | |||||||
\(462\) | −15.3974 | + | 16.4512i | −0.716352 | + | 0.765379i | ||||
\(463\) | −8.87215 | + | 8.87215i | −0.412324 | + | 0.412324i | −0.882547 | − | 0.470224i | \(-0.844173\pi\) |
0.470224 | + | 0.882547i | \(0.344173\pi\) | |||||||
\(464\) | −8.23001 | −0.382069 | ||||||||
\(465\) | −2.29930 | −0.106628 | ||||||||
\(466\) | 8.56310 | − | 8.56310i | 0.396678 | − | 0.396678i | ||||
\(467\) | −7.33629 | − | 12.7068i | −0.339483 | − | 0.588002i | 0.644853 | − | 0.764307i | \(-0.276919\pi\) |
−0.984336 | + | 0.176305i | \(0.943585\pi\) | |||||||
\(468\) | −0.983964 | − | 1.14847i | −0.0454838 | − | 0.0530880i | ||||
\(469\) | −4.36188 | + | 2.71452i | −0.201413 | + | 0.125345i | ||||
\(470\) | 10.2351 | − | 38.1980i | 0.472111 | − | 1.76194i | ||||
\(471\) | −3.04018 | + | 5.26575i | −0.140084 | + | 0.242633i | ||||
\(472\) | −8.97661 | − | 15.5479i | −0.413182 | − | 0.715652i | ||||
\(473\) | −34.0784 | + | 9.13127i | −1.56692 | + | 0.419856i | ||||
\(474\) | −0.948624 | + | 0.948624i | −0.0435717 | + | 0.0435717i | ||||
\(475\) | −4.60565 | + | 1.23408i | −0.211322 | + | 0.0566235i | ||||
\(476\) | −3.30986 | + | 3.53639i | −0.151707 | + | 0.162090i | ||||
\(477\) | −0.139208 | + | 0.241116i | −0.00637391 | + | 0.0110399i | ||||
\(478\) | 4.23734 | + | 2.44643i | 0.193811 | + | 0.111897i | ||||
\(479\) | 9.76842 | + | 9.76842i | 0.446330 | + | 0.446330i | 0.894133 | − | 0.447802i | \(-0.147793\pi\) |
−0.447802 | + | 0.894133i | \(0.647793\pi\) | |||||||
\(480\) | 5.82913 | + | 3.36545i | 0.266062 | + | 0.153611i | ||||
\(481\) | −17.7682 | + | 8.50880i | −0.810160 | + | 0.387968i | ||||
\(482\) | − | 13.9672i | − | 0.636189i | ||||||
\(483\) | 16.1724 | + | 15.1365i | 0.735872 | + | 0.688735i | ||||
\(484\) | −3.98026 | − | 6.89402i | −0.180921 | − | 0.313364i | ||||
\(485\) | 6.40843i | 0.290992i | ||||||||
\(486\) | −0.402582 | − | 1.50246i | −0.0182615 | − | 0.0681528i | ||||
\(487\) | 7.78069 | − | 29.0379i | 0.352577 | − | 1.31583i | −0.530930 | − | 0.847415i | \(-0.678157\pi\) |
0.883507 | − | 0.468418i | \(-0.155176\pi\) | |||||||
\(488\) | −8.24421 | − | 8.24421i | −0.373198 | − | 0.373198i | ||||
\(489\) | −10.0711 | − | 10.0711i | −0.455430 | − | 0.455430i | ||||
\(490\) | 28.1465 | + | 13.8558i | 1.27153 | + | 0.625941i | ||||
\(491\) | 27.2827 | − | 15.7517i | 1.23125 | − | 0.710863i | 0.263961 | − | 0.964533i | \(-0.414971\pi\) |
0.967291 | + | 0.253670i | \(0.0816377\pi\) | |||||||
\(492\) | −0.436214 | − | 1.62797i | −0.0196660 | − | 0.0733947i | ||||
\(493\) | 3.85175 | − | 6.67143i | 0.173474 | − | 0.300466i | ||||
\(494\) | 7.63836 | + | 2.69158i | 0.343666 | + | 0.121100i | ||||
\(495\) | −13.6623 | + | 7.88795i | −0.614076 | + | 0.354537i | ||||
\(496\) | −3.59429 | − | 0.963087i | −0.161388 | − | 0.0432439i | ||||
\(497\) | −1.02800 | − | 31.0688i | −0.0461121 | − | 1.39363i | ||||
\(498\) | 8.18312 | + | 4.72452i | 0.366694 | + | 0.211711i | ||||
\(499\) | 6.05231 | − | 22.5875i | 0.270938 | − | 1.01116i | −0.687576 | − | 0.726112i | \(-0.741325\pi\) |
0.958515 | − | 0.285044i | \(-0.0920081\pi\) | |||||||
\(500\) | −1.98234 | − | 0.531167i | −0.0886531 | − | 0.0237545i | ||||
\(501\) | 2.16336 | + | 0.579671i | 0.0966519 | + | 0.0258978i | ||||
\(502\) | 9.94261 | − | 37.1063i | 0.443760 | − | 1.65614i | ||||
\(503\) | 7.16456 | + | 4.13646i | 0.319452 | + | 0.184436i | 0.651148 | − | 0.758951i | \(-0.274288\pi\) |
−0.331696 | + | 0.943386i | \(0.607621\pi\) | |||||||
\(504\) | 3.43677 | + | 5.52246i | 0.153086 | + | 0.245990i | ||||
\(505\) | −44.0968 | − | 11.8157i | −1.96228 | − | 0.525792i | ||||
\(506\) | −61.7499 | + | 35.6513i | −2.74512 | + | 1.58490i | ||||
\(507\) | −4.69635 | − | 12.1221i | −0.208572 | − | 0.538359i | ||||
\(508\) | 0.730656 | − | 1.26553i | 0.0324176 | − | 0.0561489i | ||||
\(509\) | 2.38441 | + | 8.89874i | 0.105687 | + | 0.394430i | 0.998422 | − | 0.0561523i | \(-0.0178832\pi\) |
−0.892735 | + | 0.450582i | \(0.851217\pi\) | |||||||
\(510\) | −16.9405 | + | 9.78060i | −0.750138 | + | 0.433092i | ||||
\(511\) | 1.26004 | + | 38.0817i | 0.0557409 | + | 1.68463i | ||||
\(512\) | −8.50976 | − | 8.50976i | −0.376082 | − | 0.376082i | ||||
\(513\) | 1.02111 | + | 1.02111i | 0.0450830 | + | 0.0450830i | ||||
\(514\) | 2.47631 | − | 9.24172i | 0.109225 | − | 0.407635i | ||||
\(515\) | 7.94436 | + | 29.6488i | 0.350071 | + | 1.30648i | ||||
\(516\) | − | 2.70275i | − | 0.118982i | ||||||
\(517\) | 24.1561 | + | 41.8396i | 1.06238 | + | 1.84010i | ||||
\(518\) | −21.5155 | + | 6.53489i | −0.945335 | + | 0.287127i | ||||
\(519\) | − | 3.24988i | − | 0.142654i | ||||||
\(520\) | 16.6172 | + | 19.3953i | 0.728712 | + | 0.850541i | ||||
\(521\) | 5.78613 | + | 3.34062i | 0.253495 | + | 0.146355i | 0.621364 | − | 0.783522i | \(-0.286579\pi\) |
−0.367869 | + | 0.929878i | \(0.619912\pi\) | |||||||
\(522\) | 1.94125 | + | 1.94125i | 0.0849663 | + | 0.0849663i | ||||
\(523\) | 27.8150 | + | 16.0590i | 1.21627 | + | 0.702211i | 0.964117 | − | 0.265477i | \(-0.0855296\pi\) |
0.252148 | + | 0.967689i | \(0.418863\pi\) | |||||||
\(524\) | −1.21457 | + | 2.10369i | −0.0530586 | + | 0.0919001i | ||||
\(525\) | 6.37814 | + | 5.96958i | 0.278365 | + | 0.260534i | ||||
\(526\) | −25.7659 | + | 6.90396i | −1.12345 | + | 0.301027i | ||||
\(527\) | 2.46287 | − | 2.46287i | 0.107285 | − | 0.107285i | ||||
\(528\) | −24.6610 | + | 6.60790i | −1.07323 | + | 0.287572i | ||||
\(529\) | 23.5472 | + | 40.7850i | 1.02379 | + | 1.77326i | ||||
\(530\) | −0.623895 | + | 1.08062i | −0.0271003 | + | 0.0469390i | ||||
\(531\) | −1.89004 | + | 7.05373i | −0.0820208 | + | 0.306106i | ||||
\(532\) | 1.41359 | + | 0.754943i | 0.0612869 | + | 0.0327309i | ||||
\(533\) | 1.11432 | − | 14.4447i | 0.0482665 | − | 0.625671i | ||||
\(534\) | −4.63579 | − | 8.02942i | −0.200610 | − | 0.347467i | ||||
\(535\) | 29.6465 | − | 29.6465i | 1.28173 | − | 1.28173i | ||||
\(536\) | −4.77393 | −0.206202 | ||||||||
\(537\) | 21.1701 | 0.913558 | ||||||||
\(538\) | −2.54240 | + | 2.54240i | −0.109611 | + | 0.109611i | ||||
\(539\) | −36.2843 | + | 12.3452i | −1.56287 | + | 0.531747i | ||||
\(540\) | −0.312796 | − | 1.16737i | −0.0134606 | − | 0.0502356i | ||||
\(541\) | 6.05418 | + | 1.62221i | 0.260289 | + | 0.0697443i | 0.386604 | − | 0.922246i | \(-0.373648\pi\) |
−0.126314 | + | 0.991990i | \(0.540315\pi\) | |||||||
\(542\) | 8.72920 | − | 5.03981i | 0.374951 | − | 0.216478i | ||||
\(543\) | − | 18.5217i | − | 0.794841i | ||||||
\(544\) | −9.84869 | + | 2.63895i | −0.422259 | + | 0.113144i | ||||
\(545\) | 24.7953 | 1.06211 | ||||||||
\(546\) | −3.20747 | − | 14.4873i | −0.137267 | − | 0.619999i | ||||
\(547\) | −17.9848 | −0.768973 | −0.384487 | − | 0.923131i | \(-0.625622\pi\) | ||||
−0.384487 | + | 0.923131i | \(0.625622\pi\) | |||||||
\(548\) | 1.38869 | − | 0.372099i | 0.0593220 | − | 0.0158953i | ||||
\(549\) | 4.74239i | 0.202400i | ||||||||
\(550\) | −24.3531 | + | 14.0603i | −1.03842 | + | 0.599533i | ||||
\(551\) | −2.46189 | − | 0.659662i | −0.104880 | − | 0.0281026i | ||||
\(552\) | 5.32728 | + | 19.8817i | 0.226744 | + | 0.846220i | ||||
\(553\) | −2.18343 | + | 0.663172i | −0.0928488 | + | 0.0282009i | ||||
\(554\) | 26.5915 | − | 26.5915i | 1.12976 | − | 1.12976i | ||||
\(555\) | −15.7432 | −0.668262 | ||||||||
\(556\) | 7.82589 | 0.331892 | ||||||||
\(557\) | 26.7133 | − | 26.7133i | 1.13188 | − | 1.13188i | 0.142012 | − | 0.989865i | \(-0.454643\pi\) |
0.989865 | − | 0.142012i | \(-0.0453572\pi\) | |||||||
\(558\) | 0.620634 | + | 1.07497i | 0.0262736 | + | 0.0455071i | ||||
\(559\) | 7.72133 | − | 21.9121i | 0.326577 | − | 0.926785i | ||||
\(560\) | 18.7816 | + | 30.1797i | 0.793669 | + | 1.27533i | ||||
\(561\) | 6.18517 | − | 23.0834i | 0.261138 | − | 0.974580i | ||||
\(562\) | −20.4792 | + | 35.4711i | −0.863864 | + | 1.49626i | ||||
\(563\) | −3.18658 | − | 5.51931i | −0.134298 | − | 0.232611i | 0.791031 | − | 0.611776i | \(-0.209545\pi\) |
−0.925329 | + | 0.379165i | \(0.876211\pi\) | |||||||
\(564\) | −3.57496 | + | 0.957909i | −0.150533 | + | 0.0403352i | ||||
\(565\) | −27.7657 | + | 27.7657i | −1.16811 | + | 1.16811i | ||||
\(566\) | 18.7876 | − | 5.03413i | 0.789703 | − | 0.211600i | ||||
\(567\) | 0.599883 | − | 2.57685i | 0.0251927 | − | 0.108217i | ||||
\(568\) | 14.4428 | − | 25.0156i | 0.606005 | − | 1.04963i | ||||
\(569\) | −3.81617 | − | 2.20327i | −0.159982 | − | 0.0923657i | 0.417872 | − | 0.908506i | \(-0.362776\pi\) |
−0.577854 | + | 0.816140i | \(0.696110\pi\) | |||||||
\(570\) | 4.57633 | + | 4.57633i | 0.191682 | + | 0.191682i | ||||
\(571\) | −12.2682 | − | 7.08302i | −0.513406 | − | 0.296415i | 0.220826 | − | 0.975313i | \(-0.429125\pi\) |
−0.734233 | + | 0.678898i | \(0.762458\pi\) | |||||||
\(572\) | 8.25593 | + | 0.636893i | 0.345198 | + | 0.0266298i | ||||
\(573\) | − | 27.4180i | − | 1.14540i | ||||||
\(574\) | 3.74931 | − | 16.1055i | 0.156493 | − | 0.672229i | ||||
\(575\) | 13.8221 | + | 23.9405i | 0.576419 | + | 0.998388i | ||||
\(576\) | 5.69226i | 0.237178i | ||||||||
\(577\) | 2.40718 | + | 8.98371i | 0.100212 | + | 0.373997i | 0.997758 | − | 0.0669241i | \(-0.0213186\pi\) |
−0.897546 | + | 0.440921i | \(0.854652\pi\) | |||||||
\(578\) | 0.825363 | − | 3.08030i | 0.0343306 | − | 0.128123i | ||||
\(579\) | −13.4853 | − | 13.4853i | −0.560431 | − | 0.560431i | ||||
\(580\) | 1.50830 | + | 1.50830i | 0.0626289 | + | 0.0626289i | ||||
\(581\) | 8.49207 | + | 13.6457i | 0.352311 | + | 0.566118i | ||||
\(582\) | 2.99607 | − | 1.72978i | 0.124191 | − | 0.0717018i | ||||
\(583\) | −0.394546 | − | 1.47246i | −0.0163404 | − | 0.0609832i | ||||
\(584\) | −17.7028 | + | 30.6621i | −0.732547 | + | 1.26881i | ||||
\(585\) | 0.799046 | − | 10.3579i | 0.0330365 | − | 0.428246i | ||||
\(586\) | −0.118733 | + | 0.0685503i | −0.00490480 | + | 0.00283179i | ||||
\(587\) | 10.0172 | + | 2.68411i | 0.413455 | + | 0.110785i | 0.459550 | − | 0.888152i | \(-0.348011\pi\) |
−0.0460944 | + | 0.998937i | \(0.514678\pi\) | |||||||
\(588\) | −0.194088 | − | 2.92971i | −0.00800404 | − | 0.120819i | ||||
\(589\) | −0.997987 | − | 0.576188i | −0.0411213 | − | 0.0237414i | ||||
\(590\) | −8.47066 | + | 31.6130i | −0.348732 | + | 1.30148i | ||||
\(591\) | 4.48424 | + | 1.20155i | 0.184457 | + | 0.0494251i | ||||
\(592\) | −24.6099 | − | 6.59421i | −1.01146 | − | 0.271020i | ||||
\(593\) | 3.11158 | − | 11.6126i | 0.127777 | − | 0.476871i | −0.872146 | − | 0.489245i | \(-0.837272\pi\) |
0.999923 | + | 0.0123741i | \(0.00393891\pi\) | |||||||
\(594\) | 7.37555 | + | 4.25828i | 0.302623 | + | 0.174719i | ||||
\(595\) | −33.2544 | + | 1.10032i | −1.36330 | + | 0.0451085i | ||||
\(596\) | −5.79182 | − | 1.55191i | −0.237242 | − | 0.0635688i | ||||
\(597\) | 0.387218 | − | 0.223560i | 0.0158478 | − | 0.00914972i | ||||
\(598\) | 3.61147 | − | 46.8148i | 0.147684 | − | 1.91440i | ||||
\(599\) | −9.16962 | + | 15.8822i | −0.374660 | + | 0.648931i | −0.990276 | − | 0.139116i | \(-0.955574\pi\) |
0.615616 | + | 0.788046i | \(0.288907\pi\) | |||||||
\(600\) | 2.10099 | + | 7.84100i | 0.0857725 | + | 0.320107i | ||||
\(601\) | −29.4396 | + | 16.9969i | −1.20086 | + | 0.693319i | −0.960747 | − | 0.277424i | \(-0.910519\pi\) |
−0.240117 | + | 0.970744i | \(0.577186\pi\) | |||||||
\(602\) | 12.4922 | − | 23.3909i | 0.509142 | − | 0.953343i | ||||
\(603\) | 1.37307 | + | 1.37307i | 0.0559159 | + | 0.0559159i | ||||
\(604\) | 0.00610049 | + | 0.00610049i | 0.000248225 | + | 0.000248225i | ||||
\(605\) | 14.1530 | − | 52.8198i | 0.575402 | − | 2.14743i | ||||
\(606\) | 6.37866 | + | 23.8055i | 0.259115 | + | 0.967031i | ||||
\(607\) | − | 41.0442i | − | 1.66593i | −0.553325 | − | 0.832965i | \(-0.686641\pi\) | ||
0.553325 | − | 0.832965i | \(-0.313359\pi\) | |||||||
\(608\) | 1.68672 | + | 2.92148i | 0.0684053 | + | 0.118482i | ||||
\(609\) | 1.35711 | + | 4.46814i | 0.0549927 | + | 0.181058i | ||||
\(610\) | 21.2541i | 0.860554i | ||||||||
\(611\) | −31.7201 | − | 2.44700i | −1.28326 | − | 0.0989951i | ||||
\(612\) | 1.58547 | + | 0.915370i | 0.0640887 | + | 0.0370016i | ||||
\(613\) | 18.9601 | + | 18.9601i | 0.765790 | + | 0.765790i | 0.977362 | − | 0.211572i | \(-0.0678583\pi\) |
−0.211572 | + | 0.977362i | \(0.567858\pi\) | |||||||
\(614\) | −14.4541 | − | 8.34506i | −0.583319 | − | 0.336779i | ||||
\(615\) | 5.78875 | − | 10.0264i | 0.233425 | − | 0.404303i | ||||
\(616\) | −34.6866 | − | 8.07495i | −1.39756 | − | 0.325349i | ||||
\(617\) | −10.2681 | + | 2.75133i | −0.413378 | + | 0.110764i | −0.459513 | − | 0.888171i | \(-0.651976\pi\) |
0.0461351 | + | 0.998935i | \(0.485310\pi\) | |||||||
\(618\) | 11.7170 | − | 11.7170i | 0.471328 | − | 0.471328i | ||||
\(619\) | −27.0153 | + | 7.23874i | −1.08584 | + | 0.290949i | −0.756985 | − | 0.653432i | \(-0.773329\pi\) |
−0.328853 | + | 0.944381i | \(0.606662\pi\) | |||||||
\(620\) | 0.482217 | + | 0.835225i | 0.0193663 | + | 0.0335434i | ||||
\(621\) | 4.18612 | − | 7.25058i | 0.167983 | − | 0.290956i | ||||
\(622\) | −12.1699 | + | 45.4187i | −0.487969 | + | 1.82112i | ||||
\(623\) | −0.521525 | − | 15.7618i | −0.0208945 | − | 0.631485i | ||||
\(624\) | 5.58759 | − | 15.8569i | 0.223683 | − | 0.634783i | ||||
\(625\) | −15.3035 | − | 26.5064i | −0.612140 | − | 1.06026i | ||||
\(626\) | −31.7368 | + | 31.7368i | −1.26846 | + | 1.26846i | ||||
\(627\) | −7.90665 | −0.315761 | ||||||||
\(628\) | 2.55039 | 0.101772 | ||||||||
\(629\) | 16.8632 | − | 16.8632i | 0.672379 | − | 0.672379i | ||||
\(630\) | 2.68852 | − | 11.5487i | 0.107113 | − | 0.460113i | ||||
\(631\) | −0.748324 | − | 2.79278i | −0.0297903 | − | 0.111179i | 0.949430 | − | 0.313980i | \(-0.101662\pi\) |
−0.979220 | + | 0.202801i | \(0.934996\pi\) | |||||||
\(632\) | −2.04815 | − | 0.548800i | −0.0814711 | − | 0.0218301i | ||||
\(633\) | 24.9060 | − | 14.3795i | 0.989924 | − | 0.571533i | ||||
\(634\) | − | 26.1005i | − | 1.03658i | ||||||
\(635\) | 9.69611 | − | 2.59807i | 0.384779 | − | 0.103101i | ||||
\(636\) | 0.116781 | 0.00463067 | ||||||||
\(637\) | 6.79617 | − | 24.3066i | 0.269274 | − | 0.963064i | ||||
\(638\) | −15.0315 | −0.595103 | ||||||||
\(639\) | −11.3490 | + | 3.04095i | −0.448959 | + | 0.120298i | ||||
\(640\) | 38.9730i | 1.54054i | ||||||||
\(641\) | −13.0554 | + | 7.53755i | −0.515658 | + | 0.297715i | −0.735156 | − | 0.677898i | \(-0.762891\pi\) |
0.219498 | + | 0.975613i | \(0.429558\pi\) | |||||||
\(642\) | −21.8626 | − | 5.85807i | −0.862849 | − | 0.231200i | ||||
\(643\) | −10.7996 | − | 40.3048i | −0.425896 | − | 1.58946i | −0.761959 | − | 0.647625i | \(-0.775762\pi\) |
0.336063 | − | 0.941839i | \(-0.390904\pi\) | |||||||
\(644\) | 2.10662 | − | 9.04915i | 0.0830124 | − | 0.356586i | ||||
\(645\) | 13.1281 | − | 13.1281i | 0.516919 | − | 0.516919i | ||||
\(646\) | −9.80379 | −0.385725 | ||||||||
\(647\) | −0.428217 | −0.0168349 | −0.00841747 | − | 0.999965i | \(-0.502679\pi\) | ||||
−0.00841747 | + | 0.999965i | \(0.502679\pi\) | |||||||
\(648\) | 1.73841 | − | 1.73841i | 0.0682912 | − | 0.0682912i | ||||
\(649\) | −19.9918 | − | 34.6267i | −0.784745 | − | 1.35922i | ||||
\(650\) | 1.42430 | − | 18.4630i | 0.0558657 | − | 0.724178i | ||||
\(651\) | 0.0698212 | + | 2.11018i | 0.00273651 | + | 0.0827044i | ||||
\(652\) | −1.54619 | + | 5.77047i | −0.0605536 | + | 0.225989i | ||||
\(653\) | 8.19250 | − | 14.1898i | 0.320597 | − | 0.555291i | −0.660014 | − | 0.751253i | \(-0.729450\pi\) |
0.980611 | + | 0.195962i | \(0.0627831\pi\) | |||||||
\(654\) | −6.69282 | − | 11.5923i | −0.261710 | − | 0.453295i | ||||
\(655\) | −16.1178 | + | 4.31875i | −0.629775 | + | 0.168748i | ||||
\(656\) | 13.2487 | − | 13.2487i | 0.517274 | − | 0.517274i | ||||
\(657\) | 13.9107 | − | 3.72736i | 0.542707 | − | 0.145418i | ||||
\(658\) | −35.3670 | − | 8.23334i | −1.37875 | − | 0.320969i | ||||
\(659\) | −13.2020 | + | 22.8666i | −0.514278 | + | 0.890755i | 0.485585 | + | 0.874190i | \(0.338607\pi\) |
−0.999863 | + | 0.0165659i | \(0.994727\pi\) | |||||||
\(660\) | 5.73062 | + | 3.30857i | 0.223064 | + | 0.128786i | ||||
\(661\) | 19.5788 | + | 19.5788i | 0.761529 | + | 0.761529i | 0.976599 | − | 0.215070i | \(-0.0689979\pi\) |
−0.215070 | + | 0.976599i | \(0.568998\pi\) | |||||||
\(662\) | −8.47684 | − | 4.89411i | −0.329462 | − | 0.190215i | ||||
\(663\) | 10.2389 | + | 11.9506i | 0.397645 | + | 0.464125i | ||||
\(664\) | 14.9347i | 0.579580i | ||||||||
\(665\) | 3.19926 | + | 10.5332i | 0.124062 | + | 0.408462i | ||||
\(666\) | 4.24945 | + | 7.36027i | 0.164663 | + | 0.285205i | ||||
\(667\) | 14.7768i | 0.572161i | ||||||||
\(668\) | −0.243141 | − | 0.907416i | −0.00940742 | − | 0.0351090i | ||||
\(669\) | 3.77160 | − | 14.0758i | 0.145819 | − | 0.544202i | ||||
\(670\) | 6.15375 | + | 6.15375i | 0.237740 | + | 0.237740i | ||||
\(671\) | −18.3606 | − | 18.3606i | −0.708805 | − | 0.708805i | ||||
\(672\) | 2.91163 | − | 5.45187i | 0.112318 | − | 0.210310i | ||||
\(673\) | −16.8918 | + | 9.75249i | −0.651131 | + | 0.375931i | −0.788889 | − | 0.614535i | \(-0.789344\pi\) |
0.137758 | + | 0.990466i | \(0.456010\pi\) | |||||||
\(674\) | −6.90086 | − | 25.7544i | −0.265811 | − | 0.992021i | ||||
\(675\) | 1.65094 | − | 2.85951i | 0.0635446 | − | 0.110062i | ||||
\(676\) | −3.41842 | + | 4.24824i | −0.131478 | + | 0.163394i | ||||
\(677\) | −1.91182 | + | 1.10379i | −0.0734772 | + | 0.0424221i | −0.536288 | − | 0.844035i | \(-0.680174\pi\) |
0.462811 | + | 0.886457i | \(0.346841\pi\) | |||||||
\(678\) | 20.4756 | + | 5.48643i | 0.786362 | + | 0.210705i | ||||
\(679\) | 5.88132 | − | 0.194600i | 0.225704 | − | 0.00746807i | ||||
\(680\) | −26.7754 | − | 15.4588i | −1.02679 | − | 0.592816i | ||||
\(681\) | −4.63969 | + | 17.3155i | −0.177793 | + | 0.663533i | ||||
\(682\) | −6.56471 | − | 1.75901i | −0.251376 | − | 0.0673559i | ||||
\(683\) | 12.6252 | + | 3.38292i | 0.483091 | + | 0.129444i | 0.492142 | − | 0.870515i | \(-0.336214\pi\) |
−0.00905031 | + | 0.999959i | \(0.502881\pi\) | |||||||
\(684\) | 0.156769 | − | 0.585069i | 0.00599421 | − | 0.0223707i | ||||
\(685\) | 8.55271 | + | 4.93791i | 0.326782 | + | 0.188668i | ||||
\(686\) | 11.8614 | − | 26.2522i | 0.452871 | − | 1.00231i | ||||
\(687\) | −6.61427 | − | 1.77229i | −0.252350 | − | 0.0676170i | ||||
\(688\) | 26.0208 | − | 15.0231i | 0.992035 | − | 0.572752i | ||||
\(689\) | 0.946784 | + | 0.333625i | 0.0360696 | + | 0.0127101i | ||||
\(690\) | 18.7611 | − | 32.4952i | 0.714223 | − | 1.23707i | ||||
\(691\) | 13.1517 | + | 49.0829i | 0.500315 | + | 1.86720i | 0.497952 | + | 0.867204i | \(0.334085\pi\) |
0.00236284 | + | 0.999997i | \(0.499248\pi\) | |||||||
\(692\) | −1.18053 | + | 0.681577i | −0.0448768 | + | 0.0259097i | ||||
\(693\) | 7.65402 | + | 12.2990i | 0.290752 | + | 0.467202i | ||||
\(694\) | 4.65219 | + | 4.65219i | 0.176595 | + | 0.176595i | ||||
\(695\) | 38.0128 | + | 38.0128i | 1.44191 | + | 1.44191i | ||||
\(696\) | −1.12306 | + | 4.19131i | −0.0425694 | + | 0.158871i | ||||
\(697\) | 4.53912 | + | 16.9402i | 0.171932 | + | 0.641657i | ||||
\(698\) | − | 28.9885i | − | 1.09723i | ||||||
\(699\) | −3.89276 | − | 6.74247i | −0.147238 | − | 0.255023i | ||||
\(700\) | 0.830815 | − | 3.56883i | 0.0314019 | − | 0.134889i | ||||
\(701\) | 12.9407i | 0.488765i | 0.969679 | + | 0.244383i | \(0.0785853\pi\) | ||||
−0.969679 | + | 0.244383i | \(0.921415\pi\) | |||||||
\(702\) | −5.05821 | + | 2.42226i | −0.190910 | + | 0.0914224i | ||||
\(703\) | −6.83317 | − | 3.94513i | −0.257718 | − | 0.148793i | ||||
\(704\) | −22.0382 | − | 22.0382i | −0.830596 | − | 0.830596i | ||||
\(705\) | −22.0176 | − | 12.7119i | −0.829230 | − | 0.478756i | ||||
\(706\) | −3.46444 | + | 6.00059i | −0.130386 | + | 0.225835i | ||||
\(707\) | −9.50477 | + | 40.8285i | −0.357464 | + | 1.53551i | ||||
\(708\) | 2.95867 | − | 0.792772i | 0.111193 | − | 0.0297942i | ||||
\(709\) | 17.4540 | − | 17.4540i | 0.655497 | − | 0.655497i | −0.298814 | − | 0.954311i | \(-0.596591\pi\) |
0.954311 | + | 0.298814i | \(0.0965911\pi\) | |||||||
\(710\) | −50.8631 | + | 13.6287i | −1.90886 | + | 0.511477i | ||||
\(711\) | 0.431242 | + | 0.746933i | 0.0161728 | + | 0.0280122i | ||||
\(712\) | 7.32711 | − | 12.6909i | 0.274595 | − | 0.475613i | ||||
\(713\) | −1.72920 | + | 6.45347i | −0.0647592 | + | 0.241684i | ||||
\(714\) | 9.49055 | + | 15.2501i | 0.355175 | + | 0.570721i | ||||
\(715\) | 37.0081 | + | 43.1952i | 1.38402 | + | 1.61541i | ||||
\(716\) | −4.43987 | − | 7.69008i | −0.165926 | − | 0.287392i | ||||
\(717\) | 2.22428 | − | 2.22428i | 0.0830673 | − | 0.0830673i | ||||
\(718\) | −25.5276 | −0.952680 | ||||||||
\(719\) | −14.9323 | −0.556880 | −0.278440 | − | 0.960454i | \(-0.589817\pi\) | ||||
−0.278440 | + | 0.960454i | \(0.589817\pi\) | |||||||
\(720\) | 9.50024 | − | 9.50024i | 0.354053 | − | 0.354053i | ||||
\(721\) | 26.9689 | − | 8.19125i | 1.00437 | − | 0.305058i | ||||
\(722\) | −6.80954 | − | 25.4136i | −0.253425 | − | 0.945795i | ||||
\(723\) | −8.67353 | − | 2.32406i | −0.322572 | − | 0.0864329i | ||||
\(724\) | −6.72803 | + | 3.88443i | −0.250045 | + | 0.144364i | ||||
\(725\) | 5.82773i | 0.216436i | ||||||||
\(726\) | −28.5146 | + | 7.64045i | −1.05827 | + | 0.283564i | ||||
\(727\) | −8.06701 | −0.299189 | −0.149595 | − | 0.988747i | \(-0.547797\pi\) | ||||
−0.149595 | + | 0.988747i | \(0.547797\pi\) | |||||||
\(728\) | 17.2954 | − | 15.8394i | 0.641011 | − | 0.587045i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 62.3440 | − | 16.7050i | 2.30745 | − | 0.618281i | ||||
\(731\) | 28.1241i | 1.04021i | ||||||||
\(732\) | 1.72268 | − | 0.994590i | 0.0636721 | − | 0.0367611i | ||||
\(733\) | 3.69987 | + | 0.991378i | 0.136658 | + | 0.0366174i | 0.326500 | − | 0.945197i | \(-0.394131\pi\) |
−0.189842 | + | 0.981815i | \(0.560797\pi\) | |||||||
\(734\) | 11.2441 | + | 41.9635i | 0.415026 | + | 1.54890i | ||||
\(735\) | 13.2878 | − | 15.1732i | 0.490126 | − | 0.559674i | ||||
\(736\) | 13.8297 | − | 13.8297i | 0.509769 | − | 0.509769i | ||||
\(737\) | −10.6320 | −0.391634 | ||||||||
\(738\) | −6.25006 | −0.230068 | ||||||||
\(739\) | 13.5656 | − | 13.5656i | 0.499018 | − | 0.499018i | −0.412114 | − | 0.911132i | \(-0.635210\pi\) |
0.911132 | + | 0.412114i | \(0.135210\pi\) | |||||||
\(740\) | 3.30172 | + | 5.71875i | 0.121374 | + | 0.210225i | ||||
\(741\) | 2.94243 | − | 4.29550i | 0.108093 | − | 0.157799i | ||||
\(742\) | 1.01068 | + | 0.539764i | 0.0371032 | + | 0.0198153i | ||||
\(743\) | 2.24541 | − | 8.37997i | 0.0823759 | − | 0.307431i | −0.912428 | − | 0.409236i | \(-0.865795\pi\) |
0.994804 | + | 0.101805i | \(0.0324618\pi\) | |||||||
\(744\) | −0.980946 | + | 1.69905i | −0.0359632 | + | 0.0622901i | ||||
\(745\) | −20.5945 | − | 35.6708i | −0.754526 | − | 1.30688i | ||||
\(746\) | 8.78656 | − | 2.35435i | 0.321699 | − | 0.0861989i | ||||
\(747\) | 4.29551 | − | 4.29551i | 0.157165 | − | 0.157165i | ||||
\(748\) | −9.68225 | + | 2.59435i | −0.354018 | + | 0.0948588i | ||||
\(749\) | −28.1083 | − | 26.3078i | −1.02705 | − | 0.961264i | ||||
\(750\) | −3.80527 | + | 6.59093i | −0.138949 | + | 0.240667i | ||||
\(751\) | 26.0916 | + | 15.0640i | 0.952094 | + | 0.549692i | 0.893731 | − | 0.448603i | \(-0.148078\pi\) |
0.0583635 | + | 0.998295i | \(0.481412\pi\) | |||||||
\(752\) | −29.0936 | − | 29.0936i | −1.06093 | − | 1.06093i | ||||
\(753\) | −21.3883 | − | 12.3486i | −0.779434 | − | 0.450006i | ||||
\(754\) | 5.59392 | − | 8.16627i | 0.203719 | − | 0.297398i | ||||
\(755\) | 0.0592640i | 0.00215684i | ||||||||
\(756\) | −1.06185 | + | 0.322517i | −0.0386192 | + | 0.0117298i | ||||
\(757\) | −0.444897 | − | 0.770584i | −0.0161700 | − | 0.0280073i | 0.857827 | − | 0.513938i | \(-0.171814\pi\) |
−0.873997 | + | 0.485931i | \(0.838481\pi\) | |||||||
\(758\) | − | 2.47363i | − | 0.0898462i | ||||||
\(759\) | 11.8644 | + | 44.2784i | 0.430649 | + | 1.60720i | ||||
\(760\) | −2.64751 | + | 9.88065i | −0.0960354 | + | 0.358409i | ||||
\(761\) | 33.9171 | + | 33.9171i | 1.22949 | + | 1.22949i | 0.964155 | + | 0.265338i | \(0.0854836\pi\) |
0.265338 | + | 0.964155i | \(0.414516\pi\) | |||||||
\(762\) | −3.83185 | − | 3.83185i | −0.138813 | − | 0.138813i | ||||
\(763\) | −0.752941 | − | 22.7558i | −0.0272583 | − | 0.823816i | ||||
\(764\) | −9.95963 | + | 5.75019i | −0.360327 | + | 0.208035i | ||||
\(765\) | 3.25487 | + | 12.1473i | 0.117680 | + | 0.439188i | ||||
\(766\) | 10.9542 | − | 18.9732i | 0.395791 | − | 0.685530i | ||||
\(767\) | 26.2518 | + | 2.02516i | 0.947896 | + | 0.0731242i | ||||
\(768\) | 8.36139 | − | 4.82745i | 0.301716 | − | 0.174196i | ||||
\(769\) | −4.85396 | − | 1.30061i | −0.175038 | − | 0.0469013i | 0.170235 | − | 0.985403i | \(-0.445547\pi\) |
−0.345274 | + | 0.938502i | \(0.612214\pi\) | |||||||
\(770\) | 34.3033 | + | 55.1210i | 1.23620 | + | 1.98642i | ||||
\(771\) | −5.32699 | − | 3.07554i | −0.191847 | − | 0.110763i | ||||
\(772\) | −2.07038 | + | 7.72676i | −0.0745146 | + | 0.278092i | ||||
\(773\) | 12.5079 | + | 3.35148i | 0.449878 | + | 0.120544i | 0.476642 | − | 0.879097i | \(-0.341854\pi\) |
−0.0267645 | + | 0.999642i | \(0.508520\pi\) | |||||||
\(774\) | −9.68124 | − | 2.59408i | −0.347985 | − | 0.0932423i | ||||
\(775\) | −0.681969 | + | 2.54514i | −0.0244970 | + | 0.0914242i | ||||
\(776\) | 4.73545 | + | 2.73401i | 0.169993 | + | 0.0981454i | ||||
\(777\) | 0.478063 | + | 14.4483i | 0.0171504 | + | 0.518330i | ||||
\(778\) | 0.376093 | + | 0.100774i | 0.0134836 | + | 0.00361292i | ||||
\(779\) | 5.02509 | − | 2.90123i | 0.180042 | − | 0.103948i | ||||
\(780\) | −3.93010 | + | 1.88204i | −0.140720 | + | 0.0673878i | ||||
\(781\) | 32.1654 | − | 55.7121i | 1.15097 | − | 1.99354i | ||||
\(782\) | 14.7111 | + | 54.9026i | 0.526069 | + | 1.96331i | ||||
\(783\) | 1.52851 | − | 0.882488i | 0.0546247 | − | 0.0315376i | ||||
\(784\) | 27.1270 | − | 18.1532i | 0.968822 | − | 0.648330i | ||||
\(785\) | 12.3880 | + | 12.3880i | 0.442148 | + | 0.442148i | ||||
\(786\) | 6.36967 | + | 6.36967i | 0.227199 | + | 0.227199i | ||||
\(787\) | −0.598619 | + | 2.23408i | −0.0213385 | + | 0.0796363i | −0.975774 | − | 0.218781i | \(-0.929792\pi\) |
0.954436 | + | 0.298417i | \(0.0964587\pi\) | |||||||
\(788\) | −0.503986 | − | 1.88090i | −0.0179538 | − | 0.0670043i | ||||
\(789\) | 17.1492i | 0.610528i | ||||||||
\(790\) | 1.93271 | + | 3.34756i | 0.0687628 | + | 0.119101i | ||||
\(791\) | 26.3251 | + | 24.6388i | 0.936011 | + | 0.876054i | ||||
\(792\) | 13.4609i | 0.478311i | ||||||||
\(793\) | 16.8078 | − | 3.14206i | 0.596861 | − | 0.111578i | ||||
\(794\) | 9.07049 | + | 5.23685i | 0.321900 | + | 0.185849i | ||||
\(795\) | 0.567242 | + | 0.567242i | 0.0201180 | + | 0.0201180i | ||||
\(796\) | −0.162417 | − | 0.0937717i | −0.00575673 | − | 0.00332365i | ||||
\(797\) | −22.4781 | + | 38.9332i | −0.796216 | + | 1.37909i | 0.125848 | + | 0.992049i | \(0.459835\pi\) |
−0.922064 | + | 0.387037i | \(0.873499\pi\) | |||||||
\(798\) | 4.06095 | − | 4.33889i | 0.143756 | − | 0.153595i | ||||
\(799\) | 37.2001 | − | 9.96774i | 1.31605 | − | 0.352633i | ||||
\(800\) | 5.45420 | − | 5.45420i | 0.192835 | − | 0.192835i | ||||
\(801\) | −5.75757 | + | 1.54274i | −0.203434 | + | 0.0545099i | ||||
\(802\) | 22.4256 | + | 38.8422i | 0.791874 | + | 1.37157i | ||||
\(803\) | −39.4258 | + | 68.2875i | −1.39131 | + | 2.40981i | ||||
\(804\) | 0.210806 | − | 0.786737i | 0.00743454 | − | 0.0277461i | ||||
\(805\) | 54.1870 | − | 33.7220i | 1.90984 | − | 1.18855i | ||||
\(806\) | 3.39866 | − | 2.91184i | 0.119713 | − | 0.102565i | ||||
\(807\) | 1.15577 | + | 2.00185i | 0.0406850 | + | 0.0704685i | ||||
\(808\) | −27.5440 | + | 27.5440i | −0.968995 | + | 0.968995i | ||||
\(809\) | −14.3965 | −0.506155 | −0.253078 | − | 0.967446i | \(-0.581443\pi\) | ||||
−0.253078 | + | 0.967446i | \(0.581443\pi\) | |||||||
\(810\) | −4.48173 | −0.157472 | ||||||||
\(811\) | −15.3043 | + | 15.3043i | −0.537406 | + | 0.537406i | −0.922766 | − | 0.385360i | \(-0.874077\pi\) |
0.385360 | + | 0.922766i | \(0.374077\pi\) | |||||||
\(812\) | 1.33844 | − | 1.43004i | 0.0469701 | − | 0.0501847i | ||||
\(813\) | −1.67719 | − | 6.25936i | −0.0588216 | − | 0.219525i | ||||
\(814\) | −44.9482 | − | 12.0438i | −1.57544 | − | 0.422137i | ||||
\(815\) | −35.5393 | + | 20.5186i | −1.24489 | + | 0.718737i | ||||
\(816\) | 20.3522i | 0.712469i | ||||||||
\(817\) | 8.98792 | − | 2.40831i | 0.314448 | − | 0.0842560i | ||||
\(818\) | −41.9328 | −1.46615 | ||||||||
\(819\) | −9.53019 | − | 0.418792i | −0.333012 | − | 0.0146338i | ||||
\(820\) | −4.85614 | −0.169584 | ||||||||
\(821\) | 35.4952 | − | 9.51091i | 1.23879 | − | 0.331933i | 0.420795 | − | 0.907156i | \(-0.361751\pi\) |
0.817997 | + | 0.575223i | \(0.195085\pi\) | |||||||
\(822\) | − | 5.33142i | − | 0.185955i | ||||||
\(823\) | −28.0981 | + | 16.2225i | −0.979439 | + | 0.565480i | −0.902101 | − | 0.431525i | \(-0.857976\pi\) |
−0.0773384 | + | 0.997005i | \(0.524642\pi\) | |||||||
\(824\) | 25.2980 | + | 6.77857i | 0.881297 | + | 0.236143i | ||||
\(825\) | 4.67910 | + | 17.4627i | 0.162905 | + | 0.607971i | ||||
\(826\) | 29.2699 | + | 6.81397i | 1.01843 | + | 0.237088i | ||||
\(827\) | −32.5966 | + | 32.5966i | −1.13349 | + | 1.13349i | −0.143901 | + | 0.989592i | \(0.545965\pi\) |
−0.989592 | + | 0.143901i | \(0.954035\pi\) | |||||||
\(828\) | −3.51171 | −0.122040 | ||||||||
\(829\) | 47.4214 | 1.64701 | 0.823507 | − | 0.567307i | \(-0.192015\pi\) | ||||
0.823507 | + | 0.567307i | \(0.192015\pi\) | |||||||
\(830\) | 19.2513 | − | 19.2513i | 0.668224 | − | 0.668224i | ||||
\(831\) | −12.0884 | − | 20.9378i | −0.419343 | − | 0.726323i | ||||
\(832\) | 20.1743 | − | 3.77140i | 0.699417 | − | 0.130750i | ||||
\(833\) | 2.01962 | + | 30.4857i | 0.0699758 | + | 1.05627i | ||||
\(834\) | 7.51123 | − | 28.0323i | 0.260093 | − | 0.970679i | ||||
\(835\) | 3.22659 | − | 5.58862i | 0.111661 | − | 0.193402i | ||||
\(836\) | 1.65821 | + | 2.87210i | 0.0573504 | + | 0.0993338i | ||||
\(837\) | 0.770818 | − | 0.206540i | 0.0266434 | − | 0.00713906i | ||||
\(838\) | 15.3301 | − | 15.3301i | 0.529568 | − | 0.529568i | ||||
\(839\) | 3.74709 | − | 1.00403i | 0.129364 | − | 0.0346629i | −0.193556 | − | 0.981089i | \(-0.562002\pi\) |
0.322920 | + | 0.946426i | \(0.395336\pi\) | |||||||
\(840\) | 17.9326 | − | 5.44666i | 0.618733 | − | 0.187928i | ||||
\(841\) | 12.9424 | − | 22.4169i | 0.446291 | − | 0.772998i | ||||
\(842\) | −30.4548 | − | 17.5831i | −1.04954 | − | 0.605953i | ||||
\(843\) | 18.6196 | + | 18.6196i | 0.641293 | + | 0.641293i | ||||
\(844\) | −10.4467 | − | 6.03143i | −0.359591 | − | 0.207610i | ||||
\(845\) | −37.2394 | + | 4.03067i | −1.28107 | + | 0.138659i | ||||
\(846\) | 13.7249i | 0.471872i | ||||||||
\(847\) | −48.9050 | − | 11.3850i | −1.68040 | − | 0.391192i | ||||
\(848\) | 0.649122 | + | 1.12431i | 0.0222910 | + | 0.0386091i | ||||
\(849\) | − | 12.5046i | − | 0.429157i | ||||||
\(850\) | 5.80182 | + | 21.6527i | 0.199001 | + | 0.742681i | ||||
\(851\) | −11.8398 | + | 44.1866i | −0.405862 | + | 1.51470i | ||||
\(852\) | 3.48478 | + | 3.48478i | 0.119387 | + | 0.119387i | ||||
\(853\) | 23.3977 | + | 23.3977i | 0.801122 | + | 0.801122i | 0.983271 | − | 0.182149i | \(-0.0583054\pi\) |
−0.182149 | + | 0.983271i | \(0.558305\pi\) | |||||||
\(854\) | 19.5059 | − | 0.645409i | 0.667479 | − | 0.0220854i | ||||
\(855\) | 3.60334 | − | 2.08039i | 0.123232 | − | 0.0711478i | ||||
\(856\) | −9.25899 | − | 34.5550i | −0.316466 | − | 1.18107i | ||||
\(857\) | 7.09899 | − | 12.2958i | 0.242497 | − | 0.420017i | −0.718928 | − | 0.695084i | \(-0.755367\pi\) |
0.961425 | + | 0.275068i | \(0.0887003\pi\) | |||||||
\(858\) | 10.2053 | − | 28.9614i | 0.348404 | − | 0.988726i | ||||
\(859\) | −41.7926 | + | 24.1290i | −1.42595 | + | 0.823270i | −0.996798 | − | 0.0799637i | \(-0.974520\pi\) |
−0.429148 | + | 0.903234i | \(0.641186\pi\) | |||||||
\(860\) | −7.52208 | − | 2.01553i | −0.256501 | − | 0.0687292i | ||||
\(861\) | −9.37749 | − | 5.00814i | −0.319584 | − | 0.170677i | ||||
\(862\) | 4.33655 | + | 2.50371i | 0.147703 | + | 0.0852766i | ||||
\(863\) | 10.6866 | − | 39.8830i | 0.363776 | − | 1.35763i | −0.505296 | − | 0.862946i | \(-0.668617\pi\) |
0.869072 | − | 0.494686i | \(-0.164717\pi\) | |||||||
\(864\) | −2.25647 | − | 0.604618i | −0.0767666 | − | 0.0205695i | ||||
\(865\) | −9.04481 | − | 2.42355i | −0.307533 | − | 0.0824032i | ||||
\(866\) | −4.30068 | + | 16.0503i | −0.146143 | + | 0.545413i | ||||
\(867\) | −1.77550 | − | 1.02509i | −0.0602992 | − | 0.0348138i | ||||
\(868\) | 0.751883 | − | 0.467917i | 0.0255206 | − | 0.0158821i | ||||
\(869\) | −4.56143 | − | 1.22223i | −0.154736 | − | 0.0414613i | ||||
\(870\) | 6.85040 | − | 3.95508i | 0.232250 | − | 0.134090i | ||||
\(871\) | 3.95666 | − | 5.77611i | 0.134066 | − | 0.195716i | ||||
\(872\) | 10.5784 | − | 18.3223i | 0.358228 | − | 0.620470i | ||||
\(873\) | −0.575652 | − | 2.14836i | −0.0194829 | − | 0.0727110i | ||||
\(874\) | 16.2861 | − | 9.40279i | 0.550886 | − | 0.318054i | ||||
\(875\) | −10.9906 | + | 6.83977i | −0.371552 | + | 0.231226i | ||||
\(876\) | −4.27137 | − | 4.27137i | −0.144316 | − | 0.144316i | ||||
\(877\) | 13.9970 | + | 13.9970i | 0.472644 | + | 0.472644i | 0.902769 | − | 0.430125i | \(-0.141531\pi\) |
−0.430125 | + | 0.902769i | \(0.641531\pi\) | |||||||
\(878\) | −5.86201 | + | 21.8773i | −0.197833 | + | 0.738324i | ||||
\(879\) | 0.0228127 | + | 0.0851383i | 0.000769455 | + | 0.00287164i | ||||
\(880\) | 73.5623i | 2.47979i | ||||||||
\(881\) | −4.58892 | − | 7.94824i | −0.154605 | − | 0.267783i | 0.778310 | − | 0.627880i | \(-0.216077\pi\) |
−0.932915 | + | 0.360097i | \(0.882744\pi\) | |||||||
\(882\) | −10.6805 | − | 2.11669i | −0.359630 | − | 0.0712726i | ||||
\(883\) | − | 2.23790i | − | 0.0753113i | −0.999291 | − | 0.0376556i | \(-0.988011\pi\) | ||
0.999291 | − | 0.0376556i | \(-0.0119890\pi\) | |||||||
\(884\) | 2.19376 | − | 6.22562i | 0.0737842 | − | 0.209390i | ||||
\(885\) | 18.2219 | + | 10.5204i | 0.612523 | + | 0.353640i | ||||
\(886\) | 5.49808 | + | 5.49808i | 0.184711 | + | 0.184711i | ||||
\(887\) | −8.83171 | − | 5.09899i | −0.296540 | − | 0.171207i | 0.344348 | − | 0.938842i | \(-0.388100\pi\) |
−0.640887 | + | 0.767635i | \(0.721433\pi\) | |||||||
\(888\) | −6.71649 | + | 11.6333i | −0.225391 | + | 0.390388i | ||||
\(889\) | −2.67880 | − | 8.81969i | −0.0898442 | − | 0.295803i | ||||
\(890\) | −25.8039 | + | 6.91414i | −0.864949 | + | 0.231762i | ||||
\(891\) | 3.87160 | − | 3.87160i | 0.129704 | − | 0.129704i | ||||
\(892\) | −5.90405 | + | 1.58199i | −0.197682 | + | 0.0529688i | ||||
\(893\) | −6.37100 | − | 11.0349i | −0.213197 | − | 0.369269i | ||||
\(894\) | −11.1179 | + | 19.2567i | −0.371838 | + | 0.644042i | ||||
\(895\) | 15.7873 | − | 58.9190i | 0.527711 | − | 1.96944i | ||||
\(896\) | 35.7674 | − | 1.18347i | 1.19491 | − | 0.0395368i | ||||
\(897\) | −28.4707 | − | 10.0324i | −0.950608 | − | 0.334972i | ||||
\(898\) | −20.7147 | − | 35.8790i | −0.691259 | − | 1.19730i | ||||
\(899\) | −0.995937 | + | 0.995937i | −0.0332164 | + | 0.0332164i | ||||
\(900\) | −1.38496 | −0.0461654 | ||||||||
\(901\) | −1.21519 | −0.0404839 | ||||||||
\(902\) | 24.1978 | − | 24.1978i | 0.805697 | − | 0.805697i | ||||
\(903\) | −12.4469 | − | 11.6496i | −0.414208 | − | 0.387676i | ||||
\(904\) | 8.67160 | + | 32.3628i | 0.288413 | + | 1.07637i | ||||
\(905\) | −51.5480 | − | 13.8123i | −1.71351 | − | 0.459135i | ||||
\(906\) | 0.0277071 | − | 0.0159967i | 0.000920507 | − | 0.000531455i | ||||
\(907\) | − | 40.9715i | − | 1.36044i | −0.733009 | − | 0.680219i | \(-0.761885\pi\) | ||
0.733009 | − | 0.680219i | \(-0.238115\pi\) | |||||||
\(908\) | 7.26295 | − | 1.94610i | 0.241030 | − | 0.0645837i | ||||
\(909\) | 15.8444 | 0.525525 | ||||||||
\(910\) | −42.7118 | − | 1.87691i | −1.41588 | − | 0.0622191i | ||||
\(911\) | 45.1869 | 1.49711 | 0.748554 | − | 0.663074i | \(-0.230748\pi\) | ||||
0.748554 | + | 0.663074i | \(0.230748\pi\) | |||||||
\(912\) | 6.50417 | − | 1.74279i | 0.215375 | − | 0.0577094i | ||||
\(913\) | 33.2610i | 1.10078i | ||||||||
\(914\) | −16.8644 | + | 9.73665i | −0.557824 | + | 0.322060i | ||||
\(915\) | 13.1986 | + | 3.53656i | 0.436333 | + | 0.116915i | ||||
\(916\) | 0.743381 | + | 2.77433i | 0.0245620 | + | 0.0916666i | ||||
\(917\) | 4.45296 | + | 14.6609i | 0.147050 | + | 0.484147i | ||||
\(918\) | 4.80057 | − | 4.80057i | 0.158442 | − | 0.158442i | ||||
\(919\) | 20.8241 | 0.686925 | 0.343463 | − | 0.939166i | \(-0.388400\pi\) | ||||
0.343463 | + | 0.939166i | \(0.388400\pi\) | |||||||
\(920\) | 59.3058 | 1.95525 | ||||||||
\(921\) | −7.58728 | + | 7.58728i | −0.250010 | + | 0.250010i | ||||
\(922\) | 7.76155 | + | 13.4434i | 0.255613 | + | 0.442735i | ||||
\(923\) | 18.2968 | + | 38.2078i | 0.602248 | + | 1.25762i | ||||
\(924\) | 2.86242 | − | 5.35973i | 0.0941667 | − | 0.176322i | ||||
\(925\) | −4.66941 | + | 17.4265i | −0.153529 | + | 0.572979i | ||||
\(926\) | 9.75824 | − | 16.9018i | 0.320676 | − | 0.555427i | ||||
\(927\) | −5.32654 | − | 9.22583i | −0.174946 | − | 0.303016i | ||||
\(928\) | 3.98261 | − | 1.06714i | 0.130736 | − | 0.0350305i | ||||
\(929\) | 39.7163 | − | 39.7163i | 1.30305 | − | 1.30305i | 0.376725 | − | 0.926325i | \(-0.377050\pi\) |
0.926325 | − | 0.376725i | \(-0.122950\pi\) | |||||||
\(930\) | 3.45460 | − | 0.925657i | 0.113281 | − | 0.0303535i | ||||
\(931\) | 9.56971 | − | 3.25597i | 0.313635 | − | 0.106710i | ||||
\(932\) | −1.63281 | + | 2.82811i | −0.0534844 | + | 0.0926377i | ||||
\(933\) | 26.1796 | + | 15.1148i | 0.857082 | + | 0.494837i | ||||
\(934\) | 16.1380 | + | 16.1380i | 0.528051 | + | 0.528051i | ||||
\(935\) | −59.6313 | − | 34.4281i | −1.95015 | − | 1.12592i | ||||
\(936\) | −7.31297 | − | 5.00941i | −0.239032 | − | 0.163738i | ||||
\(937\) | 12.6449i | 0.413092i | 0.978437 | + | 0.206546i | \(0.0662223\pi\) | ||||
−0.978437 | + | 0.206546i | \(0.933778\pi\) | |||||||
\(938\) | 5.46072 | − | 5.83446i | 0.178299 | − | 0.190502i | ||||
\(939\) | 14.4275 | + | 24.9891i | 0.470823 | + | 0.815489i | ||||
\(940\) | 10.6639i | 0.347818i | ||||||||
\(941\) | −0.310180 | − | 1.15761i | −0.0101116 | − | 0.0377369i | 0.960686 | − | 0.277638i | \(-0.0895516\pi\) |
−0.970797 | + | 0.239901i | \(0.922885\pi\) | |||||||
\(942\) | 2.44784 | − | 9.13548i | 0.0797551 | − | 0.297650i | ||||
\(943\) | −23.7877 | − | 23.7877i | −0.774636 | − | 0.774636i | ||||
\(944\) | 24.0781 | + | 24.0781i | 0.783674 | + | 0.783674i | ||||
\(945\) | −6.72432 | − | 3.59119i | −0.218742 | − | 0.116821i | ||||
\(946\) | 47.5252 | − | 27.4387i | 1.54518 | − | 0.892108i | ||||
\(947\) | 8.25863 | + | 30.8216i | 0.268370 | + | 1.00157i | 0.960156 | + | 0.279466i | \(0.0901575\pi\) |
−0.691786 | + | 0.722103i | \(0.743176\pi\) | |||||||
\(948\) | 0.180883 | − | 0.313299i | 0.00587481 | − | 0.0101755i | ||||
\(949\) | −22.4268 | − | 46.8321i | −0.728006 | − | 1.52023i | ||||
\(950\) | 6.42297 | − | 3.70830i | 0.208389 | − | 0.120313i | ||||
\(951\) | −16.2082 | − | 4.34297i | −0.525587 | − | 0.140831i | ||||
\(952\) | −13.3742 | + | 25.0425i | −0.433460 | + | 0.811631i | ||||
\(953\) | 9.16224 | + | 5.28982i | 0.296794 | + | 0.171354i | 0.641002 | − | 0.767539i | \(-0.278519\pi\) |
−0.344208 | + | 0.938894i | \(0.611852\pi\) | |||||||
\(954\) | 0.112085 | − | 0.418309i | 0.00362890 | − | 0.0135432i | ||||
\(955\) | −76.3075 | − | 20.4465i | −2.46925 | − | 0.661634i | ||||
\(956\) | −1.27446 | − | 0.341490i | −0.0412189 | − | 0.0110446i | ||||
\(957\) | −2.50116 | + | 9.33445i | −0.0808509 | + | 0.301740i | ||||
\(958\) | −18.6092 | − | 10.7440i | −0.601236 | − | 0.347124i | ||||
\(959\) | 4.27204 | − | 7.99918i | 0.137951 | − | 0.258307i | ||||
\(960\) | 15.8423 | + | 4.24492i | 0.511307 | + | 0.137004i | ||||
\(961\) | 26.2953 | − | 15.1816i | 0.848235 | − | 0.489729i | ||||
\(962\) | 23.2705 | − | 19.9373i | 0.750270 | − | 0.642803i | ||||
\(963\) | −7.27563 | + | 12.6018i | −0.234454 | + | 0.406086i | ||||
\(964\) | 0.974822 | + | 3.63808i | 0.0313969 | + | 0.117175i | ||||
\(965\) | −47.5878 | + | 27.4748i | −1.53190 | + | 0.884445i | ||||
\(966\) | −30.3921 | − | 16.2312i | −0.977849 | − | 0.522230i | ||||
\(967\) | 23.9761 | + | 23.9761i | 0.771021 | + | 0.771021i | 0.978285 | − | 0.207264i | \(-0.0664560\pi\) |
−0.207264 | + | 0.978285i | \(0.566456\pi\) | |||||||
\(968\) | −32.9926 | − | 32.9926i | −1.06042 | − | 1.06042i | ||||
\(969\) | −1.63129 | + | 6.08807i | −0.0524047 | + | 0.195577i | ||||
\(970\) | −2.57992 | − | 9.62838i | −0.0828362 | − | 0.309149i | ||||
\(971\) | − | 24.9712i | − | 0.801364i | −0.916217 | − | 0.400682i | \(-0.868773\pi\) | ||
0.916217 | − | 0.400682i | \(-0.131227\pi\) | |||||||
\(972\) | 0.209723 | + | 0.363252i | 0.00672688 | + | 0.0116513i | ||||
\(973\) | 33.7319 | − | 36.0405i | 1.08139 | − | 1.15540i | ||||
\(974\) | 46.7606i | 1.49831i | ||||||||
\(975\) | −11.2284 | − | 3.95661i | −0.359595 | − | 0.126713i | ||||
\(976\) | 19.1509 | + | 11.0568i | 0.613005 | + | 0.353919i | ||||
\(977\) | −11.9691 | − | 11.9691i | −0.382925 | − | 0.382925i | 0.489230 | − | 0.872155i | \(-0.337278\pi\) |
−0.872155 | + | 0.489230i | \(0.837278\pi\) | |||||||
\(978\) | 19.1858 | + | 11.0769i | 0.613493 | + | 0.354201i | ||||
\(979\) | 16.3182 | − | 28.2639i | 0.521531 | − | 0.903318i | ||||
\(980\) | −8.29846 | − | 1.64461i | −0.265085 | − | 0.0525353i | ||||
\(981\) | −8.31237 | + | 2.22729i | −0.265394 | + | 0.0711120i | ||||
\(982\) | −34.6497 | + | 34.6497i | −1.10572 | + | 1.10572i | ||||
\(983\) | −26.7546 | + | 7.16888i | −0.853340 | + | 0.228652i | −0.658870 | − | 0.752257i | \(-0.728965\pi\) |
−0.194470 | + | 0.980908i | \(0.562299\pi\) | |||||||
\(984\) | −4.93928 | − | 8.55508i | −0.157458 | − | 0.272726i | ||||
\(985\) | 6.68811 | − | 11.5841i | 0.213101 | − | 0.369101i | ||||
\(986\) | −3.10129 | + | 11.5742i | −0.0987653 | + | 0.368597i | ||||
\(987\) | −10.9977 | + | 20.5926i | −0.350060 | + | 0.655470i | ||||
\(988\) | −2.17744 | − | 0.167976i | −0.0692737 | − | 0.00534403i | ||||
\(989\) | −26.9737 | − | 46.7199i | −0.857715 | − | 1.48561i | ||||
\(990\) | 17.3515 | − | 17.3515i | 0.551467 | − | 0.551467i | ||||
\(991\) | 12.3125 | 0.391120 | 0.195560 | − | 0.980692i | \(-0.437348\pi\) | ||||
0.195560 | + | 0.980692i | \(0.437348\pi\) | |||||||
\(992\) | 1.86420 | 0.0591885 | ||||||||
\(993\) | −4.44970 | + | 4.44970i | −0.141207 | + | 0.141207i | ||||
\(994\) | 14.0523 | + | 46.2657i | 0.445711 | + | 1.46746i | ||||
\(995\) | −0.333433 | − | 1.24439i | −0.0105706 | − | 0.0394498i | ||||
\(996\) | −2.46122 | − | 0.659482i | −0.0779868 | − | 0.0208965i | ||||
\(997\) | 10.8856 | − | 6.28478i | 0.344749 | − | 0.199041i | −0.317621 | − | 0.948218i | \(-0.602884\pi\) |
0.662370 | + | 0.749177i | \(0.269551\pi\) | |||||||
\(998\) | 36.3733i | 1.15138i | ||||||||
\(999\) | 5.27775 | − | 1.41417i | 0.166981 | − | 0.0447423i |
(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 | 273.2.cg.a.115.3 | yes | 36 | |
3.2 | odd | 2 | 819.2.gh.c.388.7 | 36 | |||
7.5 | odd | 6 | 273.2.bt.a.271.7 | yes | 36 | ||
13.6 | odd | 12 | 273.2.bt.a.136.7 | ✓ | 36 | ||
21.5 | even | 6 | 819.2.et.c.271.3 | 36 | |||
39.32 | even | 12 | 819.2.et.c.136.3 | 36 | |||
91.19 | even | 12 | inner | 273.2.cg.a.19.3 | yes | 36 | |
273.110 | odd | 12 | 819.2.gh.c.19.7 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.136.7 | ✓ | 36 | 13.6 | odd | 12 | ||
273.2.bt.a.271.7 | yes | 36 | 7.5 | odd | 6 | ||
273.2.cg.a.19.3 | yes | 36 | 91.19 | even | 12 | inner | |
273.2.cg.a.115.3 | yes | 36 | 1.1 | even | 1 | trivial | |
819.2.et.c.136.3 | 36 | 39.32 | even | 12 | |||
819.2.et.c.271.3 | 36 | 21.5 | even | 6 | |||
819.2.gh.c.19.7 | 36 | 273.110 | odd | 12 | |||
819.2.gh.c.388.7 | 36 | 3.2 | odd | 2 |