Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(20,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.be (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 20.15 | ||
Character | \(\chi\) | \(=\) | 189.20 |
Dual form | 189.2.be.a.104.15 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.471430 | + | 1.29524i | 0.333351 | + | 0.915875i | 0.987234 | + | 0.159279i | \(0.0509169\pi\) |
−0.653882 | + | 0.756596i | \(0.726861\pi\) | |||||||
\(3\) | −1.37746 | − | 1.05005i | −0.795278 | − | 0.606245i | ||||
\(4\) | 0.0766803 | − | 0.0643424i | 0.0383402 | − | 0.0321712i | ||||
\(5\) | 0.459149 | + | 2.60396i | 0.205338 | + | 1.16453i | 0.896907 | + | 0.442218i | \(0.145808\pi\) |
−0.691570 | + | 0.722310i | \(0.743081\pi\) | |||||||
\(6\) | 0.710690 | − | 2.27917i | 0.290138 | − | 0.930468i | ||||
\(7\) | 1.90985 | − | 1.83097i | 0.721856 | − | 0.692043i | ||||
\(8\) | 2.50689 | + | 1.44736i | 0.886321 | + | 0.511718i | ||||
\(9\) | 0.794802 | + | 2.89280i | 0.264934 | + | 0.964267i | ||||
\(10\) | −3.15631 | + | 1.82230i | −0.998113 | + | 0.576261i | ||||
\(11\) | −0.681802 | − | 0.120220i | −0.205571 | − | 0.0362477i | 0.0699143 | − | 0.997553i | \(-0.477727\pi\) |
−0.275485 | + | 0.961305i | \(0.588839\pi\) | |||||||
\(12\) | −0.173187 | + | 0.00811128i | −0.0499947 | + | 0.00234153i | ||||
\(13\) | −0.171823 | + | 0.472079i | −0.0476550 | + | 0.130931i | −0.961237 | − | 0.275724i | \(-0.911083\pi\) |
0.913582 | + | 0.406655i | \(0.133305\pi\) | |||||||
\(14\) | 3.27192 | + | 1.61055i | 0.874457 | + | 0.430437i | ||||
\(15\) | 2.10182 | − | 4.06899i | 0.542689 | − | 1.05061i | ||||
\(16\) | −0.658089 | + | 3.73221i | −0.164522 | + | 0.933052i | ||||
\(17\) | 2.42375 | + | 4.19806i | 0.587846 | + | 1.01818i | 0.994514 | + | 0.104604i | \(0.0333574\pi\) |
−0.406668 | + | 0.913576i | \(0.633309\pi\) | |||||||
\(18\) | −3.37219 | + | 2.39321i | −0.794832 | + | 0.564086i | ||||
\(19\) | 1.03438 | + | 0.597199i | 0.237303 | + | 0.137007i | 0.613936 | − | 0.789355i | \(-0.289585\pi\) |
−0.376634 | + | 0.926362i | \(0.622918\pi\) | |||||||
\(20\) | 0.202753 | + | 0.170130i | 0.0453370 | + | 0.0380422i | ||||
\(21\) | −4.55336 | + | 0.516662i | −0.993624 | + | 0.112745i | ||||
\(22\) | −0.165708 | − | 0.939774i | −0.0353290 | − | 0.200361i | ||||
\(23\) | −4.74912 | − | 5.65978i | −0.990259 | − | 1.18014i | −0.983636 | − | 0.180167i | \(-0.942336\pi\) |
−0.00662300 | − | 0.999978i | \(-0.502108\pi\) | |||||||
\(24\) | −1.93336 | − | 4.62603i | −0.394645 | − | 0.944285i | ||||
\(25\) | −1.87135 | + | 0.681115i | −0.374270 | + | 0.136223i | ||||
\(26\) | −0.692459 | −0.135802 | ||||||||
\(27\) | 1.94277 | − | 4.81930i | 0.373886 | − | 0.927475i | ||||
\(28\) | 0.0286387 | − | 0.263284i | 0.00541221 | − | 0.0497560i | ||||
\(29\) | −2.19806 | − | 6.03911i | −0.408169 | − | 1.12143i | −0.958152 | − | 0.286259i | \(-0.907588\pi\) |
0.549984 | − | 0.835175i | \(-0.314634\pi\) | |||||||
\(30\) | 6.26119 | + | 0.804131i | 1.14313 | + | 0.146814i | ||||
\(31\) | −5.17613 | − | 6.16868i | −0.929661 | − | 1.10793i | −0.993932 | − | 0.109994i | \(-0.964917\pi\) |
0.0642712 | − | 0.997932i | \(-0.479528\pi\) | |||||||
\(32\) | 0.557110 | − | 0.0982336i | 0.0984841 | − | 0.0173654i | ||||
\(33\) | 0.812919 | + | 0.881523i | 0.141511 | + | 0.153453i | ||||
\(34\) | −4.29488 | + | 5.11844i | −0.736566 | + | 0.877806i | ||||
\(35\) | 5.64470 | + | 4.13250i | 0.954128 | + | 0.698519i | ||||
\(36\) | 0.247075 | + | 0.170681i | 0.0411792 | + | 0.0284469i | ||||
\(37\) | −3.71414 | − | 6.43307i | −0.610600 | − | 1.05759i | −0.991139 | − | 0.132826i | \(-0.957595\pi\) |
0.380539 | − | 0.924765i | \(-0.375738\pi\) | |||||||
\(38\) | −0.285881 | + | 1.62131i | −0.0463759 | + | 0.263011i | ||||
\(39\) | 0.732384 | − | 0.469849i | 0.117275 | − | 0.0752360i | ||||
\(40\) | −2.61782 | + | 7.19241i | −0.413914 | + | 1.13722i | ||||
\(41\) | −3.25278 | − | 1.18391i | −0.507998 | − | 0.184896i | 0.0752897 | − | 0.997162i | \(-0.476012\pi\) |
−0.583288 | + | 0.812265i | \(0.698234\pi\) | |||||||
\(42\) | −2.81579 | − | 5.65413i | −0.434486 | − | 0.872452i | ||||
\(43\) | −1.81376 | + | 10.2863i | −0.276596 | + | 1.56865i | 0.457250 | + | 0.889338i | \(0.348834\pi\) |
−0.733846 | + | 0.679315i | \(0.762277\pi\) | |||||||
\(44\) | −0.0600160 | + | 0.0346503i | −0.00904776 | + | 0.00522373i | ||||
\(45\) | −7.16781 | + | 3.39786i | −1.06851 | + | 0.506523i | ||||
\(46\) | 5.09191 | − | 8.81945i | 0.750761 | − | 1.30036i | ||||
\(47\) | 2.93133 | + | 2.45968i | 0.427579 | + | 0.358781i | 0.831037 | − | 0.556217i | \(-0.187748\pi\) |
−0.403458 | + | 0.914998i | \(0.632192\pi\) | |||||||
\(48\) | 4.82549 | − | 4.44995i | 0.696499 | − | 0.642295i | ||||
\(49\) | 0.295069 | − | 6.99378i | 0.0421527 | − | 0.999111i | ||||
\(50\) | −1.76442 | − | 2.10275i | −0.249527 | − | 0.297374i | ||||
\(51\) | 1.06954 | − | 8.32773i | 0.149765 | − | 1.16611i | ||||
\(52\) | 0.0171993 | + | 0.0472546i | 0.00238511 | + | 0.00655304i | ||||
\(53\) | 10.3394i | 1.42022i | 0.704090 | + | 0.710111i | \(0.251355\pi\) | ||||
−0.704090 | + | 0.710111i | \(0.748645\pi\) | |||||||
\(54\) | 7.15804 | + | 0.244393i | 0.974086 | + | 0.0332577i | ||||
\(55\) | − | 1.83059i | − | 0.246836i | ||||||
\(56\) | 7.43787 | − | 1.82582i | 0.993927 | − | 0.243986i | ||||
\(57\) | −0.797730 | − | 1.90876i | −0.105662 | − | 0.252822i | ||||
\(58\) | 6.78588 | − | 5.69403i | 0.891030 | − | 0.747663i | ||||
\(59\) | −1.13100 | − | 6.41423i | −0.147244 | − | 0.835061i | −0.965538 | − | 0.260262i | \(-0.916191\pi\) |
0.818294 | − | 0.574799i | \(-0.194920\pi\) | |||||||
\(60\) | −0.100640 | − | 0.447248i | −0.0129926 | − | 0.0577395i | ||||
\(61\) | −2.36159 | + | 2.81444i | −0.302371 | + | 0.360352i | −0.895739 | − | 0.444579i | \(-0.853353\pi\) |
0.593369 | + | 0.804931i | \(0.297798\pi\) | |||||||
\(62\) | 5.54975 | − | 9.61245i | 0.704819 | − | 1.22078i | ||||
\(63\) | 6.81459 | + | 4.06956i | 0.858558 | + | 0.512716i | ||||
\(64\) | 4.17966 | + | 7.23938i | 0.522457 | + | 0.904922i | ||||
\(65\) | −1.30817 | − | 0.230665i | −0.162258 | − | 0.0286105i | ||||
\(66\) | −0.758552 | + | 1.46850i | −0.0933712 | + | 0.180760i | ||||
\(67\) | −3.24000 | − | 1.17926i | −0.395829 | − | 0.144070i | 0.136434 | − | 0.990649i | \(-0.456436\pi\) |
−0.532263 | + | 0.846579i | \(0.678658\pi\) | |||||||
\(68\) | 0.455968 | + | 0.165959i | 0.0552942 | + | 0.0201254i | ||||
\(69\) | 0.598694 | + | 12.7829i | 0.0720743 | + | 1.53888i | ||||
\(70\) | −2.69151 | + | 9.25944i | −0.321697 | + | 1.10671i | ||||
\(71\) | 0.286623 | − | 0.165482i | 0.0340159 | − | 0.0196391i | −0.482896 | − | 0.875678i | \(-0.660415\pi\) |
0.516912 | + | 0.856039i | \(0.327082\pi\) | |||||||
\(72\) | −2.19443 | + | 8.40230i | −0.258616 | + | 0.990221i | ||||
\(73\) | −3.13921 | − | 1.81243i | −0.367417 | − | 0.212128i | 0.304912 | − | 0.952380i | \(-0.401373\pi\) |
−0.672329 | + | 0.740252i | \(0.734706\pi\) | |||||||
\(74\) | 6.58144 | − | 7.84345i | 0.765077 | − | 0.911783i | ||||
\(75\) | 3.29291 | + | 1.02679i | 0.380233 | + | 0.118564i | ||||
\(76\) | 0.117742 | − | 0.0207610i | 0.0135059 | − | 0.00238145i | ||||
\(77\) | −1.52226 | + | 1.01876i | −0.173478 | + | 0.116098i | ||||
\(78\) | 0.953836 | + | 0.727115i | 0.108001 | + | 0.0823295i | ||||
\(79\) | 9.71572 | − | 3.53623i | 1.09310 | − | 0.397857i | 0.268334 | − | 0.963326i | \(-0.413527\pi\) |
0.824770 | + | 0.565469i | \(0.191305\pi\) | |||||||
\(80\) | −10.0207 | −1.12035 | ||||||||
\(81\) | −7.73658 | + | 4.59840i | −0.859620 | + | 0.510934i | ||||
\(82\) | − | 4.77127i | − | 0.526898i | ||||||
\(83\) | −12.8972 | + | 4.69419i | −1.41565 | + | 0.515254i | −0.932782 | − | 0.360440i | \(-0.882627\pi\) |
−0.482866 | + | 0.875694i | \(0.660404\pi\) | |||||||
\(84\) | −0.315910 | + | 0.332592i | −0.0344686 | + | 0.0362888i | ||||
\(85\) | −9.81874 | + | 8.23890i | −1.06499 | + | 0.893634i | ||||
\(86\) | −14.1784 | + | 2.50003i | −1.52889 | + | 0.269585i | ||||
\(87\) | −3.31361 | + | 10.6267i | −0.355256 | + | 1.13930i | ||||
\(88\) | −1.53520 | − | 1.28819i | −0.163653 | − | 0.137321i | ||||
\(89\) | 4.84538 | − | 8.39244i | 0.513609 | − | 0.889597i | −0.486266 | − | 0.873811i | \(-0.661642\pi\) |
0.999875 | − | 0.0157861i | \(-0.00502510\pi\) | |||||||
\(90\) | −7.78018 | − | 7.68221i | −0.820103 | − | 0.809776i | ||||
\(91\) | 0.536208 | + | 1.21620i | 0.0562099 | + | 0.127493i | ||||
\(92\) | −0.728328 | − | 0.128424i | −0.0759334 | − | 0.0133891i | ||||
\(93\) | 0.652525 | + | 13.9323i | 0.0676637 | + | 1.44471i | ||||
\(94\) | −1.80397 | + | 4.95636i | −0.186065 | + | 0.511209i | ||||
\(95\) | −1.08015 | + | 2.96769i | −0.110821 | + | 0.304478i | ||||
\(96\) | −0.870548 | − | 0.449679i | −0.0888500 | − | 0.0458952i | ||||
\(97\) | 3.19371 | + | 0.563137i | 0.324272 | + | 0.0571779i | 0.333415 | − | 0.942780i | \(-0.391799\pi\) |
−0.00914255 | + | 0.999958i | \(0.502910\pi\) | |||||||
\(98\) | 9.19775 | − | 2.91489i | 0.929113 | − | 0.294448i | ||||
\(99\) | −0.194125 | − | 2.06787i | −0.0195103 | − | 0.207828i | ||||
\(100\) | −0.0996710 | + | 0.172635i | −0.00996710 | + | 0.0172635i | ||||
\(101\) | −8.65691 | − | 7.26401i | −0.861394 | − | 0.722796i | 0.100874 | − | 0.994899i | \(-0.467836\pi\) |
−0.962268 | + | 0.272104i | \(0.912281\pi\) | |||||||
\(102\) | 11.2906 | − | 2.54063i | 1.11794 | − | 0.251560i | ||||
\(103\) | 18.1129 | − | 3.19380i | 1.78472 | − | 0.314694i | 0.818906 | − | 0.573928i | \(-0.194581\pi\) |
0.965815 | + | 0.259233i | \(0.0834699\pi\) | |||||||
\(104\) | −1.11401 | + | 0.934763i | −0.109237 | + | 0.0916610i | ||||
\(105\) | −3.43604 | − | 11.6196i | −0.335323 | − | 1.13395i | ||||
\(106\) | −13.3920 | + | 4.87429i | −1.30075 | + | 0.473433i | ||||
\(107\) | 10.3651i | 1.00203i | 0.865439 | + | 0.501014i | \(0.167040\pi\) | ||||
−0.865439 | + | 0.501014i | \(0.832960\pi\) | |||||||
\(108\) | −0.161114 | − | 0.494548i | −0.0155032 | − | 0.0475879i | ||||
\(109\) | 12.4544 | 1.19292 | 0.596459 | − | 0.802643i | \(-0.296574\pi\) | ||||
0.596459 | + | 0.802643i | \(0.296574\pi\) | |||||||
\(110\) | 2.37105 | − | 0.862993i | 0.226071 | − | 0.0822832i | ||||
\(111\) | −1.63895 | + | 12.7613i | −0.155562 | + | 1.21125i | ||||
\(112\) | 5.57672 | + | 8.33291i | 0.526951 | + | 0.787386i | ||||
\(113\) | −2.99092 | + | 0.527381i | −0.281362 | + | 0.0496118i | −0.312548 | − | 0.949902i | \(-0.601183\pi\) |
0.0311861 | + | 0.999514i | \(0.490072\pi\) | |||||||
\(114\) | 2.09624 | − | 1.93310i | 0.196331 | − | 0.181052i | ||||
\(115\) | 12.5573 | − | 14.9652i | 1.17097 | − | 1.39551i | ||||
\(116\) | −0.557118 | − | 0.321653i | −0.0517272 | − | 0.0298647i | ||||
\(117\) | −1.50219 | − | 0.121839i | −0.138878 | − | 0.0112641i | ||||
\(118\) | 7.77479 | − | 4.48878i | 0.715728 | − | 0.413226i | ||||
\(119\) | 12.3156 | + | 3.57985i | 1.12896 | + | 0.328164i | ||||
\(120\) | 11.1583 | − | 7.15843i | 1.01861 | − | 0.653473i | ||||
\(121\) | −9.88622 | − | 3.59829i | −0.898747 | − | 0.327117i | ||||
\(122\) | −4.75870 | − | 1.73203i | −0.430833 | − | 0.156810i | ||||
\(123\) | 3.23741 | + | 5.04636i | 0.291907 | + | 0.455015i | ||||
\(124\) | −0.793815 | − | 0.139971i | −0.0712867 | − | 0.0125698i | ||||
\(125\) | 3.97751 | + | 6.88925i | 0.355759 | + | 0.616193i | ||||
\(126\) | −2.05846 | + | 10.7451i | −0.183382 | + | 0.957247i | ||||
\(127\) | −1.53317 | + | 2.65553i | −0.136047 | + | 0.235640i | −0.925997 | − | 0.377531i | \(-0.876773\pi\) |
0.789950 | + | 0.613171i | \(0.210107\pi\) | |||||||
\(128\) | −6.67908 | + | 7.95982i | −0.590353 | + | 0.703555i | ||||
\(129\) | 13.2995 | − | 12.2645i | 1.17096 | − | 1.07983i | ||||
\(130\) | −0.317942 | − | 1.80314i | −0.0278854 | − | 0.158146i | ||||
\(131\) | −3.91000 | + | 3.28088i | −0.341618 | + | 0.286652i | −0.797414 | − | 0.603433i | \(-0.793799\pi\) |
0.455796 | + | 0.890084i | \(0.349355\pi\) | |||||||
\(132\) | 0.119054 | + | 0.0152902i | 0.0103623 | + | 0.00133084i | ||||
\(133\) | 3.06897 | − | 0.753359i | 0.266113 | − | 0.0653245i | ||||
\(134\) | − | 4.75253i | − | 0.410556i | ||||||
\(135\) | 13.4413 | + | 2.84612i | 1.15684 | + | 0.244955i | ||||
\(136\) | 14.0321i | 1.20325i | ||||||||
\(137\) | −1.34924 | − | 3.70701i | −0.115274 | − | 0.316712i | 0.868617 | − | 0.495484i | \(-0.165009\pi\) |
−0.983890 | + | 0.178773i | \(0.942787\pi\) | |||||||
\(138\) | −16.2747 | + | 6.80171i | −1.38540 | + | 0.579000i | ||||
\(139\) | −6.85841 | − | 8.17354i | −0.581723 | − | 0.693271i | 0.392270 | − | 0.919850i | \(-0.371690\pi\) |
−0.973993 | + | 0.226580i | \(0.927246\pi\) | |||||||
\(140\) | 0.698732 | − | 0.0463124i | 0.0590536 | − | 0.00391412i | ||||
\(141\) | −1.45502 | − | 6.46615i | −0.122535 | − | 0.544548i | ||||
\(142\) | 0.349462 | + | 0.293234i | 0.0293262 | + | 0.0246076i | ||||
\(143\) | 0.173902 | − | 0.301208i | 0.0145424 | − | 0.0251882i | ||||
\(144\) | −11.3196 | + | 1.06265i | −0.943298 | + | 0.0885538i | ||||
\(145\) | 14.7164 | − | 8.49651i | 1.22213 | − | 0.705597i | ||||
\(146\) | 0.867613 | − | 4.92048i | 0.0718041 | − | 0.407221i | ||||
\(147\) | −7.75024 | + | 9.32383i | −0.639229 | + | 0.769016i | ||||
\(148\) | −0.698721 | − | 0.254314i | −0.0574345 | − | 0.0209044i | ||||
\(149\) | −1.04865 | + | 2.88113i | −0.0859085 | + | 0.236032i | −0.975207 | − | 0.221296i | \(-0.928971\pi\) |
0.889298 | + | 0.457328i | \(0.151193\pi\) | |||||||
\(150\) | 0.222430 | + | 4.74918i | 0.0181613 | + | 0.387769i | ||||
\(151\) | 3.79814 | − | 21.5403i | 0.309088 | − | 1.75293i | −0.294521 | − | 0.955645i | \(-0.595160\pi\) |
0.603609 | − | 0.797280i | \(-0.293729\pi\) | |||||||
\(152\) | 1.72872 | + | 2.99423i | 0.140218 | + | 0.242864i | ||||
\(153\) | −10.2178 | + | 10.3481i | −0.826056 | + | 0.836591i | ||||
\(154\) | −2.03718 | − | 1.49142i | −0.164161 | − | 0.120182i | ||||
\(155\) | 13.6864 | − | 16.3108i | 1.09932 | − | 1.31012i | ||||
\(156\) | 0.0259283 | − | 0.0831515i | 0.00207592 | − | 0.00665745i | ||||
\(157\) | 6.86916 | − | 1.21122i | 0.548218 | − | 0.0966657i | 0.107323 | − | 0.994224i | \(-0.465772\pi\) |
0.440895 | + | 0.897558i | \(0.354661\pi\) | |||||||
\(158\) | 9.16056 | + | 10.9171i | 0.728775 | + | 0.868521i | ||||
\(159\) | 10.8568 | − | 14.2421i | 0.861002 | − | 1.12947i | ||||
\(160\) | 0.511594 | + | 1.40559i | 0.0404450 | + | 0.111122i | ||||
\(161\) | −19.4330 | − | 2.11383i | −1.53154 | − | 0.166593i | ||||
\(162\) | −9.60331 | − | 7.85293i | −0.754507 | − | 0.616984i | ||||
\(163\) | 15.9859 | 1.25211 | 0.626057 | − | 0.779777i | \(-0.284668\pi\) | ||||
0.626057 | + | 0.779777i | \(0.284668\pi\) | |||||||
\(164\) | −0.325600 | + | 0.118509i | −0.0254251 | + | 0.00925397i | ||||
\(165\) | −1.92220 | + | 2.52156i | −0.149643 | + | 0.196303i | ||||
\(166\) | −12.1602 | − | 14.4920i | −0.943817 | − | 1.12480i | ||||
\(167\) | 2.43328 | + | 13.7998i | 0.188293 | + | 1.06786i | 0.921651 | + | 0.388020i | \(0.126841\pi\) |
−0.733358 | + | 0.679843i | \(0.762048\pi\) | |||||||
\(168\) | −12.1626 | − | 5.29511i | −0.938363 | − | 0.408527i | ||||
\(169\) | 9.76524 | + | 8.19401i | 0.751172 | + | 0.630309i | ||||
\(170\) | −15.3002 | − | 8.83359i | −1.17347 | − | 0.677506i | ||||
\(171\) | −0.905450 | + | 3.46690i | −0.0692415 | + | 0.265121i | ||||
\(172\) | 0.522769 | + | 0.905462i | 0.0398608 | + | 0.0690409i | ||||
\(173\) | 2.25876 | − | 12.8101i | 0.171731 | − | 0.973932i | −0.770120 | − | 0.637899i | \(-0.779804\pi\) |
0.941850 | − | 0.336033i | \(-0.109085\pi\) | |||||||
\(174\) | −15.3263 | + | 0.717814i | −1.16188 | + | 0.0544173i | ||||
\(175\) | −2.32689 | + | 4.72722i | −0.175897 | + | 0.357344i | ||||
\(176\) | 0.897372 | − | 2.46551i | 0.0676420 | − | 0.185845i | ||||
\(177\) | −5.17733 | + | 10.0230i | −0.389152 | + | 0.753372i | ||||
\(178\) | 13.1545 | + | 2.31949i | 0.985972 | + | 0.173853i | ||||
\(179\) | −12.8061 | + | 7.39360i | −0.957172 | + | 0.552624i | −0.895302 | − | 0.445460i | \(-0.853040\pi\) |
−0.0618708 | + | 0.998084i | \(0.519707\pi\) | |||||||
\(180\) | −0.331004 | + | 0.721744i | −0.0246716 | + | 0.0537956i | ||||
\(181\) | 7.71179 | + | 4.45240i | 0.573213 | + | 0.330944i | 0.758431 | − | 0.651753i | \(-0.225966\pi\) |
−0.185219 | + | 0.982697i | \(0.559299\pi\) | |||||||
\(182\) | −1.32249 | + | 1.26787i | −0.0980298 | + | 0.0939811i | ||||
\(183\) | 6.20829 | − | 1.39699i | 0.458930 | − | 0.103269i | ||||
\(184\) | −3.71382 | − | 21.0621i | −0.273786 | − | 1.55272i | ||||
\(185\) | 15.0461 | − | 12.6252i | 1.10621 | − | 0.928224i | ||||
\(186\) | −17.7381 | + | 7.41328i | −1.30062 | + | 0.543568i | ||||
\(187\) | −1.14783 | − | 3.15363i | −0.0839375 | − | 0.230616i | ||||
\(188\) | 0.383037 | 0.0279359 | ||||||||
\(189\) | −5.11362 | − | 12.7613i | −0.371961 | − | 0.928248i | ||||
\(190\) | −4.35309 | −0.315807 | ||||||||
\(191\) | −5.14349 | − | 14.1316i | −0.372170 | − | 1.02253i | −0.974521 | − | 0.224297i | \(-0.927992\pi\) |
0.602351 | − | 0.798231i | \(-0.294231\pi\) | |||||||
\(192\) | 1.84437 | − | 14.3608i | 0.133106 | − | 1.03640i | ||||
\(193\) | −6.14999 | + | 5.16045i | −0.442686 | + | 0.371457i | −0.836713 | − | 0.547641i | \(-0.815526\pi\) |
0.394028 | + | 0.919099i | \(0.371081\pi\) | |||||||
\(194\) | 0.776211 | + | 4.40211i | 0.0557287 | + | 0.316053i | ||||
\(195\) | 1.55974 | + | 1.69137i | 0.111695 | + | 0.121122i | ||||
\(196\) | −0.427371 | − | 0.555271i | −0.0305265 | − | 0.0396622i | ||||
\(197\) | 0.971081 | + | 0.560654i | 0.0691866 | + | 0.0399449i | 0.534194 | − | 0.845362i | \(-0.320615\pi\) |
−0.465008 | + | 0.885307i | \(0.653948\pi\) | |||||||
\(198\) | 2.58687 | − | 1.22629i | 0.183841 | − | 0.0871489i | ||||
\(199\) | −19.5563 | + | 11.2909i | −1.38631 | + | 0.800388i | −0.992898 | − | 0.118973i | \(-0.962040\pi\) |
−0.393415 | + | 0.919361i | \(0.628707\pi\) | |||||||
\(200\) | −5.67709 | − | 1.00102i | −0.401431 | − | 0.0707831i | ||||
\(201\) | 3.22469 | + | 5.02654i | 0.227452 | + | 0.354545i | ||||
\(202\) | 5.32753 | − | 14.6373i | 0.374844 | − | 1.02987i | ||||
\(203\) | −15.2554 | − | 7.50922i | −1.07072 | − | 0.527044i | ||||
\(204\) | −0.453814 | − | 0.707389i | −0.0317733 | − | 0.0495272i | ||||
\(205\) | 1.58936 | − | 9.01370i | 0.111006 | − | 0.629544i | ||||
\(206\) | 12.6757 | + | 21.9550i | 0.883160 | + | 1.52968i | ||||
\(207\) | 12.5980 | − | 18.2366i | 0.875621 | − | 1.26753i | ||||
\(208\) | −1.64882 | − | 0.951947i | −0.114325 | − | 0.0660057i | ||||
\(209\) | −0.633446 | − | 0.531524i | −0.0438164 | − | 0.0367663i | ||||
\(210\) | 13.4303 | − | 9.92831i | 0.926778 | − | 0.685119i | ||||
\(211\) | 3.05568 | + | 17.3296i | 0.210362 | + | 1.19302i | 0.888776 | + | 0.458341i | \(0.151556\pi\) |
−0.678414 | + | 0.734679i | \(0.737333\pi\) | |||||||
\(212\) | 0.665260 | + | 0.792826i | 0.0456903 | + | 0.0544515i | ||||
\(213\) | −0.568577 | − | 0.0730228i | −0.0389582 | − | 0.00500344i | ||||
\(214\) | −13.4253 | + | 4.88640i | −0.917733 | + | 0.334028i | ||||
\(215\) | −27.6181 | −1.88354 | ||||||||
\(216\) | 11.8456 | − | 9.26960i | 0.805988 | − | 0.630716i | ||||
\(217\) | −21.1803 | − | 2.30389i | −1.43781 | − | 0.156398i | ||||
\(218\) | 5.87140 | + | 16.1315i | 0.397661 | + | 1.09256i | ||||
\(219\) | 2.42101 | + | 5.79287i | 0.163597 | + | 0.391446i | ||||
\(220\) | −0.117784 | − | 0.140370i | −0.00794102 | − | 0.00946374i | ||||
\(221\) | −2.39827 | + | 0.422880i | −0.161325 | + | 0.0284460i | ||||
\(222\) | −17.3017 | + | 3.89323i | −1.16121 | + | 0.261297i | ||||
\(223\) | −5.47899 | + | 6.52961i | −0.366901 | + | 0.437255i | −0.917634 | − | 0.397426i | \(-0.869904\pi\) |
0.550734 | + | 0.834681i | \(0.314348\pi\) | |||||||
\(224\) | 0.884135 | − | 1.20767i | 0.0590738 | − | 0.0806906i | ||||
\(225\) | −3.45768 | − | 4.87208i | −0.230512 | − | 0.324806i | ||||
\(226\) | −2.09310 | − | 3.62535i | −0.139231 | − | 0.241155i | ||||
\(227\) | −3.37111 | + | 19.1185i | −0.223748 | + | 1.26894i | 0.641315 | + | 0.767278i | \(0.278389\pi\) |
−0.865063 | + | 0.501662i | \(0.832722\pi\) | |||||||
\(228\) | −0.183985 | − | 0.0950368i | −0.0121847 | − | 0.00629397i | ||||
\(229\) | −8.38379 | + | 23.0343i | −0.554016 | + | 1.52215i | 0.274163 | + | 0.961683i | \(0.411599\pi\) |
−0.828179 | + | 0.560464i | \(0.810623\pi\) | |||||||
\(230\) | 25.3035 | + | 9.20971i | 1.66846 | + | 0.607270i | ||||
\(231\) | 3.16660 | + | 0.195144i | 0.208347 | + | 0.0128395i | ||||
\(232\) | 3.23045 | − | 18.3208i | 0.212089 | − | 1.20282i | ||||
\(233\) | 2.98948 | − | 1.72598i | 0.195847 | − | 0.113073i | −0.398870 | − | 0.917008i | \(-0.630597\pi\) |
0.594717 | + | 0.803935i | \(0.297264\pi\) | |||||||
\(234\) | −0.550368 | − | 2.00315i | −0.0359787 | − | 0.130950i | ||||
\(235\) | −5.05900 | + | 8.76245i | −0.330013 | + | 0.571599i | ||||
\(236\) | −0.499432 | − | 0.419074i | −0.0325103 | − | 0.0272794i | ||||
\(237\) | −17.0962 | − | 5.33094i | −1.11052 | − | 0.346282i | ||||
\(238\) | 1.16914 | + | 17.6393i | 0.0757843 | + | 1.14338i | ||||
\(239\) | 6.51310 | + | 7.76201i | 0.421297 | + | 0.502083i | 0.934391 | − | 0.356250i | \(-0.115945\pi\) |
−0.513093 | + | 0.858333i | \(0.671500\pi\) | |||||||
\(240\) | 13.8031 | + | 10.5222i | 0.890988 | + | 0.679205i | ||||
\(241\) | 2.01308 | + | 5.53089i | 0.129674 | + | 0.356276i | 0.987490 | − | 0.157680i | \(-0.0504016\pi\) |
−0.857816 | + | 0.513956i | \(0.828179\pi\) | |||||||
\(242\) | − | 14.5014i | − | 0.932185i | ||||||
\(243\) | 15.4854 | + | 1.78965i | 0.993388 | + | 0.114806i | ||||
\(244\) | 0.367762i | 0.0235436i | ||||||||
\(245\) | 18.3470 | − | 2.44284i | 1.17215 | − | 0.156067i | ||||
\(246\) | −5.01006 | + | 6.57224i | −0.319430 | + | 0.419031i | ||||
\(247\) | −0.459655 | + | 0.385696i | −0.0292471 | + | 0.0245412i | ||||
\(248\) | −4.04775 | − | 22.9559i | −0.257032 | − | 1.45770i | ||||
\(249\) | 22.6945 | + | 7.07658i | 1.43820 | + | 0.448460i | ||||
\(250\) | −7.04813 | + | 8.39964i | −0.445763 | + | 0.531240i | ||||
\(251\) | 11.7240 | − | 20.3066i | 0.740014 | − | 1.28174i | −0.212474 | − | 0.977167i | \(-0.568152\pi\) |
0.952488 | − | 0.304575i | \(-0.0985145\pi\) | |||||||
\(252\) | 0.784391 | − | 0.126413i | 0.0494120 | − | 0.00796325i | ||||
\(253\) | 2.55754 | + | 4.42978i | 0.160791 | + | 0.278498i | ||||
\(254\) | −4.16235 | − | 0.733934i | −0.261169 | − | 0.0460511i | ||||
\(255\) | 22.1762 | − | 1.03863i | 1.38873 | − | 0.0650416i | ||||
\(256\) | 2.25175 | + | 0.819569i | 0.140734 | + | 0.0512231i | ||||
\(257\) | 11.3427 | + | 4.12840i | 0.707538 | + | 0.257523i | 0.670626 | − | 0.741796i | \(-0.266026\pi\) |
0.0369120 | + | 0.999319i | \(0.488248\pi\) | |||||||
\(258\) | 22.1553 | + | 11.4443i | 1.37933 | + | 0.712489i | ||||
\(259\) | −18.8722 | − | 5.48573i | −1.17266 | − | 0.340867i | ||||
\(260\) | −0.115152 | + | 0.0664832i | −0.00714145 | + | 0.00412312i | ||||
\(261\) | 15.7229 | − | 11.1584i | 0.973224 | − | 0.690689i | ||||
\(262\) | −6.09283 | − | 3.51770i | −0.376416 | − | 0.217324i | ||||
\(263\) | −0.100748 | + | 0.120067i | −0.00621242 | + | 0.00740367i | −0.769142 | − | 0.639078i | \(-0.779316\pi\) |
0.762929 | + | 0.646482i | \(0.223760\pi\) | |||||||
\(264\) | 0.762025 | + | 3.38647i | 0.0468994 | + | 0.208423i | ||||
\(265\) | −26.9233 | + | 4.74731i | −1.65389 | + | 0.291625i | ||||
\(266\) | 2.42259 | + | 3.61990i | 0.148538 | + | 0.221950i | ||||
\(267\) | −15.4868 | + | 6.47239i | −0.947775 | + | 0.396104i | ||||
\(268\) | −0.324321 | + | 0.118043i | −0.0198111 | + | 0.00721064i | ||||
\(269\) | 18.3616 | 1.11952 | 0.559762 | − | 0.828653i | \(-0.310893\pi\) | ||||
0.559762 | + | 0.828653i | \(0.310893\pi\) | |||||||
\(270\) | 2.65022 | + | 18.7515i | 0.161287 | + | 1.14118i | ||||
\(271\) | − | 7.98514i | − | 0.485063i | −0.970144 | − | 0.242531i | \(-0.922022\pi\) | ||
0.970144 | − | 0.242531i | \(-0.0779777\pi\) | |||||||
\(272\) | −17.2631 | + | 6.28325i | −1.04673 | + | 0.380978i | ||||
\(273\) | 0.538465 | − | 2.23832i | 0.0325894 | − | 0.135469i | ||||
\(274\) | 4.16541 | − | 3.49519i | 0.251642 | − | 0.211152i | ||||
\(275\) | 1.35777 | − | 0.239412i | 0.0818767 | − | 0.0144371i | ||||
\(276\) | 0.868392 | + | 0.941677i | 0.0522711 | + | 0.0566823i | ||||
\(277\) | 12.8010 | + | 10.7413i | 0.769135 | + | 0.645381i | 0.940487 | − | 0.339829i | \(-0.110369\pi\) |
−0.171352 | + | 0.985210i | \(0.554814\pi\) | |||||||
\(278\) | 7.35346 | − | 12.7366i | 0.441031 | − | 0.763888i | ||||
\(279\) | 13.7307 | − | 19.8764i | 0.822038 | − | 1.18997i | ||||
\(280\) | 8.16946 | + | 18.5296i | 0.488219 | + | 1.10736i | ||||
\(281\) | 11.7287 | + | 2.06809i | 0.699676 | + | 0.123372i | 0.512161 | − | 0.858890i | \(-0.328845\pi\) |
0.187516 | + | 0.982262i | \(0.439956\pi\) | |||||||
\(282\) | 7.68930 | − | 4.93294i | 0.457891 | − | 0.293752i | ||||
\(283\) | −0.504977 | + | 1.38741i | −0.0300178 | + | 0.0824732i | −0.953796 | − | 0.300454i | \(-0.902862\pi\) |
0.923778 | + | 0.382927i | \(0.125084\pi\) | |||||||
\(284\) | 0.0113309 | − | 0.0311313i | 0.000672363 | − | 0.00184730i | ||||
\(285\) | 4.60408 | − | 2.95367i | 0.272722 | − | 0.174960i | ||||
\(286\) | 0.472120 | + | 0.0832475i | 0.0279170 | + | 0.00492253i | ||||
\(287\) | −8.38004 | + | 3.69465i | −0.494658 | + | 0.218088i | ||||
\(288\) | 0.726963 | + | 1.53353i | 0.0428367 | + | 0.0903643i | ||||
\(289\) | −3.24916 | + | 5.62770i | −0.191127 | + | 0.331041i | ||||
\(290\) | 17.9428 | + | 15.0558i | 1.05364 | + | 0.884106i | ||||
\(291\) | −3.80789 | − | 4.12925i | −0.223223 | − | 0.242061i | ||||
\(292\) | −0.357332 | + | 0.0630072i | −0.0209113 | + | 0.00368722i | ||||
\(293\) | −1.37473 | + | 1.15354i | −0.0803126 | + | 0.0673903i | −0.682060 | − | 0.731296i | \(-0.738916\pi\) |
0.601748 | + | 0.798686i | \(0.294471\pi\) | |||||||
\(294\) | −15.7303 | − | 5.64292i | −0.917411 | − | 0.329102i | ||||
\(295\) | 16.1831 | − | 5.89017i | 0.942218 | − | 0.342939i | ||||
\(296\) | − | 21.5027i | − | 1.24982i | ||||||
\(297\) | −1.90396 | + | 3.05225i | −0.110479 | + | 0.177109i | ||||
\(298\) | −4.22613 | −0.244813 | ||||||||
\(299\) | 3.48787 | − | 1.26948i | 0.201708 | − | 0.0734159i | ||||
\(300\) | 0.318568 | − | 0.133139i | 0.0183925 | − | 0.00768679i | ||||
\(301\) | 15.3700 | + | 22.9664i | 0.885913 | + | 1.32376i | ||||
\(302\) | 29.6905 | − | 5.23523i | 1.70850 | − | 0.301254i | ||||
\(303\) | 4.29701 | + | 19.0961i | 0.246857 | + | 1.09704i | ||||
\(304\) | −2.90958 | + | 3.46750i | −0.166876 | + | 0.198875i | ||||
\(305\) | −8.41301 | − | 4.85725i | −0.481728 | − | 0.278126i | ||||
\(306\) | −18.2202 | − | 8.35609i | −1.04158 | − | 0.477686i | ||||
\(307\) | 1.04389 | − | 0.602689i | 0.0595778 | − | 0.0343973i | −0.469915 | − | 0.882712i | \(-0.655716\pi\) |
0.529493 | + | 0.848314i | \(0.322382\pi\) | |||||||
\(308\) | −0.0511780 | + | 0.176065i | −0.00291614 | + | 0.0100322i | ||||
\(309\) | −28.3035 | − | 14.6201i | −1.61013 | − | 0.831708i | ||||
\(310\) | 27.5786 | + | 10.0378i | 1.56636 | + | 0.570109i | ||||
\(311\) | −14.9731 | − | 5.44977i | −0.849048 | − | 0.309028i | −0.119396 | − | 0.992847i | \(-0.538096\pi\) |
−0.729652 | + | 0.683819i | \(0.760318\pi\) | |||||||
\(312\) | 2.51605 | − | 0.117840i | 0.142443 | − | 0.00667139i | ||||
\(313\) | −31.6605 | − | 5.58260i | −1.78956 | − | 0.315547i | −0.822244 | − | 0.569135i | \(-0.807278\pi\) |
−0.967312 | + | 0.253588i | \(0.918389\pi\) | |||||||
\(314\) | 4.80715 | + | 8.32623i | 0.271283 | + | 0.469876i | ||||
\(315\) | −7.46807 | + | 19.6135i | −0.420778 | + | 1.10510i | ||||
\(316\) | 0.517475 | − | 0.896293i | 0.0291102 | − | 0.0504204i | ||||
\(317\) | −12.6893 | + | 15.1225i | −0.712701 | + | 0.849364i | −0.993900 | − | 0.110285i | \(-0.964824\pi\) |
0.281199 | + | 0.959650i | \(0.409268\pi\) | |||||||
\(318\) | 23.5652 | + | 7.34808i | 1.32147 | + | 0.412060i | ||||
\(319\) | 0.772616 | + | 4.38172i | 0.0432582 | + | 0.245329i | ||||
\(320\) | −16.9320 | + | 14.2076i | −0.946527 | + | 0.794231i | ||||
\(321\) | 10.8838 | − | 14.2775i | 0.607475 | − | 0.796891i | ||||
\(322\) | −6.42338 | − | 26.1670i | −0.357961 | − | 1.45823i | ||||
\(323\) | 5.78985i | 0.322156i | ||||||||
\(324\) | −0.297371 | + | 0.850398i | −0.0165206 | + | 0.0472443i | ||||
\(325\) | − | 1.00045i | − | 0.0554952i | ||||||
\(326\) | 7.53625 | + | 20.7057i | 0.417394 | + | 1.14678i | ||||
\(327\) | −17.1555 | − | 13.0777i | −0.948702 | − | 0.723201i | ||||
\(328\) | −6.44082 | − | 7.67587i | −0.355635 | − | 0.423829i | ||||
\(329\) | 10.1020 | − | 0.669569i | 0.556943 | − | 0.0369145i | ||||
\(330\) | −4.17222 | − | 1.30098i | −0.229673 | − | 0.0716165i | ||||
\(331\) | −16.4662 | − | 13.8168i | −0.905067 | − | 0.759441i | 0.0661072 | − | 0.997813i | \(-0.478942\pi\) |
−0.971174 | + | 0.238371i | \(0.923386\pi\) | |||||||
\(332\) | −0.686924 | + | 1.18979i | −0.0376999 | + | 0.0652981i | ||||
\(333\) | 15.6576 | − | 15.8573i | 0.858030 | − | 0.868973i | ||||
\(334\) | −16.7270 | + | 9.65734i | −0.915261 | + | 0.528426i | ||||
\(335\) | 1.58312 | − | 8.97830i | 0.0864949 | − | 0.490537i | ||||
\(336\) | 1.06822 | − | 17.3341i | 0.0582764 | − | 0.945652i | ||||
\(337\) | 2.06271 | + | 0.750766i | 0.112363 | + | 0.0408968i | 0.397590 | − | 0.917563i | \(-0.369847\pi\) |
−0.285227 | + | 0.958460i | \(0.592069\pi\) | |||||||
\(338\) | −6.00961 | + | 16.5113i | −0.326880 | + | 0.898094i | ||||
\(339\) | 4.67366 | + | 2.41416i | 0.253838 | + | 0.131119i | ||||
\(340\) | −0.222793 | + | 1.26352i | −0.0120827 | + | 0.0685242i | ||||
\(341\) | 2.78750 | + | 4.82809i | 0.150951 | + | 0.261456i | ||||
\(342\) | −4.91734 | + | 0.461624i | −0.265899 | + | 0.0249618i | ||||
\(343\) | −12.2419 | − | 13.8973i | −0.661000 | − | 0.750386i | ||||
\(344\) | −19.4349 | + | 23.1616i | −1.04786 | + | 1.24879i | ||||
\(345\) | −33.0114 | + | 7.42824i | −1.77727 | + | 0.399923i | ||||
\(346\) | 17.6570 | − | 3.11341i | 0.949247 | − | 0.167378i | ||||
\(347\) | −16.5906 | − | 19.7719i | −0.890631 | − | 1.06141i | −0.997742 | − | 0.0671660i | \(-0.978604\pi\) |
0.107110 | − | 0.994247i | \(-0.465840\pi\) | |||||||
\(348\) | 0.429659 | + | 1.02806i | 0.0230321 | + | 0.0551101i | ||||
\(349\) | 10.6914 | + | 29.3745i | 0.572300 | + | 1.57238i | 0.800860 | + | 0.598851i | \(0.204376\pi\) |
−0.228560 | + | 0.973530i | \(0.573402\pi\) | |||||||
\(350\) | −7.21986 | − | 0.785341i | −0.385918 | − | 0.0419782i | ||||
\(351\) | 1.94128 | + | 1.74520i | 0.103618 | + | 0.0931521i | ||||
\(352\) | −0.391649 | −0.0208749 | ||||||||
\(353\) | 8.40270 | − | 3.05833i | 0.447231 | − | 0.162779i | −0.108580 | − | 0.994088i | \(-0.534630\pi\) |
0.555810 | + | 0.831309i | \(0.312408\pi\) | |||||||
\(354\) | −15.4229 | − | 1.98078i | −0.819719 | − | 0.105277i | ||||
\(355\) | 0.562512 | + | 0.670376i | 0.0298551 | + | 0.0355799i | ||||
\(356\) | −0.168445 | − | 0.955298i | −0.00892756 | − | 0.0506307i | ||||
\(357\) | −13.2052 | − | 17.8630i | −0.698893 | − | 0.945411i | ||||
\(358\) | −15.6137 | − | 13.1014i | −0.825209 | − | 0.692433i | ||||
\(359\) | 13.3825 | + | 7.72637i | 0.706300 | + | 0.407782i | 0.809689 | − | 0.586859i | \(-0.199636\pi\) |
−0.103390 | + | 0.994641i | \(0.532969\pi\) | |||||||
\(360\) | −22.8869 | − | 1.85630i | −1.20624 | − | 0.0978355i | ||||
\(361\) | −8.78671 | − | 15.2190i | −0.462458 | − | 0.801001i | ||||
\(362\) | −2.13138 | + | 12.0876i | −0.112023 | + | 0.635312i | ||||
\(363\) | 9.83951 | + | 15.3375i | 0.516441 | + | 0.805010i | ||||
\(364\) | 0.119370 | + | 0.0587579i | 0.00625669 | + | 0.00307975i | ||||
\(365\) | 3.27812 | − | 9.00657i | 0.171585 | − | 0.471425i | ||||
\(366\) | 4.73622 | + | 7.38266i | 0.247566 | + | 0.385898i | ||||
\(367\) | 16.9007 | + | 2.98005i | 0.882209 | + | 0.155557i | 0.596360 | − | 0.802717i | \(-0.296613\pi\) |
0.285849 | + | 0.958275i | \(0.407724\pi\) | |||||||
\(368\) | 24.2488 | − | 14.0000i | 1.26406 | − | 0.729803i | ||||
\(369\) | 0.839513 | − | 10.3506i | 0.0437033 | − | 0.538831i | ||||
\(370\) | 23.4459 | + | 13.5365i | 1.21890 | + | 0.703730i | ||||
\(371\) | 18.9311 | + | 19.7467i | 0.982855 | + | 1.02520i | ||||
\(372\) | 0.946474 | + | 1.02635i | 0.0490724 | + | 0.0532137i | ||||
\(373\) | 1.93292 | + | 10.9621i | 0.100083 | + | 0.567597i | 0.993071 | + | 0.117517i | \(0.0374935\pi\) |
−0.892988 | + | 0.450080i | \(0.851395\pi\) | |||||||
\(374\) | 3.54360 | − | 2.97343i | 0.183235 | − | 0.153752i | ||||
\(375\) | 1.75517 | − | 13.6662i | 0.0906365 | − | 0.705722i | ||||
\(376\) | 3.78851 | + | 10.4088i | 0.195377 | + | 0.536795i | ||||
\(377\) | 3.22861 | 0.166282 | ||||||||
\(378\) | 14.1183 | − | 12.6394i | 0.726166 | − | 0.650103i | ||||
\(379\) | −35.4910 | −1.82305 | −0.911526 | − | 0.411242i | \(-0.865095\pi\) | ||||
−0.911526 | + | 0.411242i | \(0.865095\pi\) | |||||||
\(380\) | 0.108122 | + | 0.297063i | 0.00554654 | + | 0.0152390i | ||||
\(381\) | 4.90032 | − | 2.04799i | 0.251051 | − | 0.104922i | ||||
\(382\) | 15.8791 | − | 13.3241i | 0.812445 | − | 0.681722i | ||||
\(383\) | 3.57786 | + | 20.2910i | 0.182820 | + | 1.03682i | 0.928724 | + | 0.370771i | \(0.120906\pi\) |
−0.745904 | + | 0.666053i | \(0.767982\pi\) | |||||||
\(384\) | 17.5584 | − | 3.95100i | 0.896022 | − | 0.201623i | ||||
\(385\) | −3.35176 | − | 3.49615i | −0.170821 | − | 0.178180i | ||||
\(386\) | −9.58333 | − | 5.53294i | −0.487779 | − | 0.281619i | ||||
\(387\) | −31.1979 | + | 2.92876i | −1.58588 | + | 0.148877i | ||||
\(388\) | 0.281128 | − | 0.162310i | 0.0142721 | − | 0.00824002i | ||||
\(389\) | −36.5509 | − | 6.44490i | −1.85320 | − | 0.326770i | −0.867787 | − | 0.496936i | \(-0.834458\pi\) |
−0.985415 | + | 0.170166i | \(0.945570\pi\) | |||||||
\(390\) | −1.45543 | + | 2.81761i | −0.0736985 | + | 0.142675i | ||||
\(391\) | 12.2494 | − | 33.6550i | 0.619479 | − | 1.70201i | ||||
\(392\) | 10.8622 | − | 17.1056i | 0.548623 | − | 0.863963i | ||||
\(393\) | 8.83096 | − | 0.413602i | 0.445463 | − | 0.0208634i | ||||
\(394\) | −0.268386 | + | 1.52209i | −0.0135211 | + | 0.0766820i | ||||
\(395\) | 13.6692 | + | 23.6757i | 0.687772 | + | 1.19126i | ||||
\(396\) | −0.147937 | − | 0.146074i | −0.00743412 | − | 0.00734051i | ||||
\(397\) | 8.14360 | + | 4.70171i | 0.408715 | + | 0.235972i | 0.690238 | − | 0.723583i | \(-0.257506\pi\) |
−0.281522 | + | 0.959555i | \(0.590839\pi\) | |||||||
\(398\) | −23.8439 | − | 20.0074i | −1.19518 | − | 1.00288i | ||||
\(399\) | −5.01844 | − | 2.18484i | −0.251236 | − | 0.109379i | ||||
\(400\) | −1.31055 | − | 7.43249i | −0.0655274 | − | 0.371625i | ||||
\(401\) | 3.41094 | + | 4.06500i | 0.170334 | + | 0.202997i | 0.844458 | − | 0.535622i | \(-0.179923\pi\) |
−0.674123 | + | 0.738619i | \(0.735478\pi\) | |||||||
\(402\) | −4.99038 | + | 6.54643i | −0.248898 | + | 0.326506i | ||||
\(403\) | 3.80148 | − | 1.38362i | 0.189365 | − | 0.0689233i | ||||
\(404\) | −1.13120 | −0.0562792 | ||||||||
\(405\) | −15.5263 | − | 18.0344i | −0.771509 | − | 0.896138i | ||||
\(406\) | 2.53441 | − | 23.2995i | 0.125781 | − | 1.15634i | ||||
\(407\) | 1.75892 | + | 4.83259i | 0.0871864 | + | 0.239543i | ||||
\(408\) | 14.7344 | − | 19.3287i | 0.729461 | − | 0.956914i | ||||
\(409\) | 7.26683 | + | 8.66028i | 0.359322 | + | 0.428223i | 0.915175 | − | 0.403058i | \(-0.132053\pi\) |
−0.555853 | + | 0.831281i | \(0.687608\pi\) | |||||||
\(410\) | 12.4242 | − | 2.19072i | 0.613588 | − | 0.108192i | ||||
\(411\) | −2.03401 | + | 6.52304i | −0.100330 | + | 0.321758i | ||||
\(412\) | 1.18341 | − | 1.41033i | 0.0583024 | − | 0.0694821i | ||||
\(413\) | −13.9043 | − | 10.1794i | −0.684187 | − | 0.500895i | ||||
\(414\) | 29.5600 | + | 7.72016i | 1.45279 | + | 0.379425i | ||||
\(415\) | −18.1452 | − | 31.4284i | −0.890714 | − | 1.54276i | ||||
\(416\) | −0.0493502 | + | 0.279879i | −0.00241959 | + | 0.0137222i | ||||
\(417\) | 0.864601 | + | 18.4604i | 0.0423397 | + | 0.904009i | ||||
\(418\) | 0.389828 | − | 1.07104i | 0.0190671 | − | 0.0523864i | ||||
\(419\) | 2.11015 | + | 0.768032i | 0.103088 | + | 0.0375208i | 0.393049 | − | 0.919518i | \(-0.371420\pi\) |
−0.289961 | + | 0.957038i | \(0.593642\pi\) | |||||||
\(420\) | −1.01111 | − | 0.669908i | −0.0493370 | − | 0.0326882i | ||||
\(421\) | −1.36835 | + | 7.76030i | −0.0666893 | + | 0.378214i | 0.933136 | + | 0.359524i | \(0.117061\pi\) |
−0.999825 | + | 0.0186904i | \(0.994050\pi\) | |||||||
\(422\) | −21.0055 | + | 12.1276i | −1.02253 | + | 0.590360i | ||||
\(423\) | −4.78553 | + | 10.4347i | −0.232681 | + | 0.507353i | ||||
\(424\) | −14.9647 | + | 25.9197i | −0.726752 | + | 1.25877i | ||||
\(425\) | −7.39505 | − | 6.20518i | −0.358713 | − | 0.300996i | ||||
\(426\) | −0.173462 | − | 0.770870i | −0.00840425 | − | 0.0373488i | ||||
\(427\) | 0.642868 | + | 9.69917i | 0.0311105 | + | 0.469376i | ||||
\(428\) | 0.666914 | + | 0.794797i | 0.0322365 | + | 0.0384179i | ||||
\(429\) | −0.555826 | + | 0.232296i | −0.0268355 | + | 0.0112154i | ||||
\(430\) | −13.0200 | − | 35.7721i | −0.627879 | − | 1.72508i | ||||
\(431\) | − | 5.30024i | − | 0.255304i | −0.991819 | − | 0.127652i | \(-0.959256\pi\) | ||
0.991819 | − | 0.127652i | \(-0.0407440\pi\) | |||||||
\(432\) | 16.7081 | + | 10.4223i | 0.803869 | + | 0.501445i | ||||
\(433\) | 19.5707i | 0.940506i | 0.882532 | + | 0.470253i | \(0.155837\pi\) | ||||
−0.882532 | + | 0.470253i | \(0.844163\pi\) | |||||||
\(434\) | −7.00094 | − | 28.5198i | −0.336056 | − | 1.36899i | ||||
\(435\) | −29.1930 | − | 3.74928i | −1.39970 | − | 0.179764i | ||||
\(436\) | 0.955011 | − | 0.801349i | 0.0457367 | − | 0.0383777i | ||||
\(437\) | −1.53237 | − | 8.69052i | −0.0733033 | − | 0.415724i | ||||
\(438\) | −6.36183 | + | 5.86673i | −0.303980 | + | 0.280323i | ||||
\(439\) | −0.489008 | + | 0.582777i | −0.0233391 | + | 0.0278144i | −0.777588 | − | 0.628774i | \(-0.783557\pi\) |
0.754249 | + | 0.656589i | \(0.228001\pi\) | |||||||
\(440\) | 2.64951 | − | 4.58908i | 0.126310 | − | 0.218776i | ||||
\(441\) | 20.4661 | − | 4.70509i | 0.974577 | − | 0.224052i | ||||
\(442\) | −1.67835 | − | 2.90699i | −0.0798310 | − | 0.138271i | ||||
\(443\) | 11.3591 | + | 2.00292i | 0.539689 | + | 0.0951617i | 0.436847 | − | 0.899536i | \(-0.356095\pi\) |
0.102842 | + | 0.994698i | \(0.467206\pi\) | |||||||
\(444\) | 0.695420 | + | 1.08400i | 0.0330032 | + | 0.0514442i | ||||
\(445\) | 24.0784 | + | 8.76381i | 1.14142 | + | 0.415444i | ||||
\(446\) | −11.0404 | − | 4.01837i | −0.522778 | − | 0.190276i | ||||
\(447\) | 4.46980 | − | 2.86752i | 0.211414 | − | 0.135629i | ||||
\(448\) | 21.2376 | + | 6.17330i | 1.00338 | + | 0.291661i | ||||
\(449\) | 25.8403 | − | 14.9189i | 1.21948 | − | 0.704067i | 0.254674 | − | 0.967027i | \(-0.418032\pi\) |
0.964807 | + | 0.262960i | \(0.0846986\pi\) | |||||||
\(450\) | 4.68048 | − | 6.77538i | 0.220640 | − | 0.319395i | ||||
\(451\) | 2.07542 | + | 1.19824i | 0.0977276 | + | 0.0564231i | ||||
\(452\) | −0.195412 | + | 0.232883i | −0.00919141 | + | 0.0109539i | ||||
\(453\) | −27.8501 | + | 25.6827i | −1.30851 | + | 1.20668i | ||||
\(454\) | −26.3524 | + | 4.64663i | −1.23678 | + | 0.218077i | ||||
\(455\) | −2.92075 | + | 1.95469i | −0.136927 | + | 0.0916371i | ||||
\(456\) | 0.762837 | − | 5.93967i | 0.0357231 | − | 0.278150i | ||||
\(457\) | 9.41750 | − | 3.42769i | 0.440532 | − | 0.160341i | −0.112225 | − | 0.993683i | \(-0.535798\pi\) |
0.552757 | + | 0.833342i | \(0.313576\pi\) | |||||||
\(458\) | −33.7873 | −1.57878 | ||||||||
\(459\) | 24.9405 | − | 3.52493i | 1.16412 | − | 0.164530i | ||||
\(460\) | − | 1.95550i | − | 0.0911759i | ||||||
\(461\) | −13.8192 | + | 5.02977i | −0.643623 | + | 0.234260i | −0.643150 | − | 0.765740i | \(-0.722373\pi\) |
−0.000473303 | 1.00000i | \(0.500151\pi\) | ||||||||
\(462\) | 1.24007 | + | 4.19351i | 0.0576933 | + | 0.195100i | ||||
\(463\) | 21.2160 | − | 17.8024i | 0.985992 | − | 0.827346i | 0.00100944 | − | 0.999999i | \(-0.499679\pi\) |
0.984983 | + | 0.172654i | \(0.0552342\pi\) | |||||||
\(464\) | 23.9857 | − | 4.22933i | 1.11351 | − | 0.196342i | ||||
\(465\) | −35.9796 | + | 8.09616i | −1.66851 | + | 0.375450i | ||||
\(466\) | 3.64489 | + | 3.05843i | 0.168846 | + | 0.141679i | ||||
\(467\) | −1.24601 | + | 2.15815i | −0.0576584 | + | 0.0998673i | −0.893414 | − | 0.449235i | \(-0.851697\pi\) |
0.835755 | + | 0.549102i | \(0.185030\pi\) | |||||||
\(468\) | −0.123028 | + | 0.0873122i | −0.00568698 | + | 0.00403601i | ||||
\(469\) | −8.34712 | + | 3.68014i | −0.385434 | + | 0.169933i | ||||
\(470\) | −13.7345 | − | 2.42176i | −0.633523 | − | 0.111707i | ||||
\(471\) | −10.7338 | − | 5.54453i | −0.494589 | − | 0.255479i | ||||
\(472\) | 6.44837 | − | 17.7167i | 0.296810 | − | 0.815479i | ||||
\(473\) | 2.47325 | − | 6.79520i | 0.113720 | − | 0.312444i | ||||
\(474\) | −1.15482 | − | 24.6570i | −0.0530426 | − | 1.13253i | ||||
\(475\) | −2.34244 | − | 0.413036i | −0.107479 | − | 0.0189514i | ||||
\(476\) | 1.17470 | − | 0.517909i | 0.0538421 | − | 0.0237383i | ||||
\(477\) | −29.9097 | + | 8.21775i | −1.36947 | + | 0.376265i | ||||
\(478\) | −6.98322 | + | 12.0953i | −0.319405 | + | 0.553226i | ||||
\(479\) | 3.12816 | + | 2.62484i | 0.142929 | + | 0.119932i | 0.711449 | − | 0.702738i | \(-0.248039\pi\) |
−0.568520 | + | 0.822670i | \(0.692484\pi\) | |||||||
\(480\) | 0.771237 | − | 2.47335i | 0.0352020 | − | 0.112892i | ||||
\(481\) | 3.67509 | − | 0.648017i | 0.167570 | − | 0.0295471i | ||||
\(482\) | −6.21482 | + | 5.21485i | −0.283077 | + | 0.237530i | ||||
\(483\) | 24.5486 | + | 23.3173i | 1.11700 | + | 1.06097i | ||||
\(484\) | −0.989601 | + | 0.360185i | −0.0449819 | + | 0.0163721i | ||||
\(485\) | 8.57487i | 0.389365i | ||||||||
\(486\) | 4.98225 | + | 20.9010i | 0.225999 | + | 0.948090i | ||||
\(487\) | −27.1662 | −1.23102 | −0.615508 | − | 0.788130i | \(-0.711049\pi\) | ||||
−0.615508 | + | 0.788130i | \(0.711049\pi\) | |||||||
\(488\) | −9.99375 | + | 3.63743i | −0.452396 | + | 0.164659i | ||||
\(489\) | −22.0200 | − | 16.7860i | −0.995779 | − | 0.759088i | ||||
\(490\) | 11.8134 | + | 22.6122i | 0.533675 | + | 1.02152i | ||||
\(491\) | −6.79969 | + | 1.19897i | −0.306865 | + | 0.0541087i | −0.324960 | − | 0.945728i | \(-0.605351\pi\) |
0.0180950 | + | 0.999836i | \(0.494240\pi\) | |||||||
\(492\) | 0.572941 | + | 0.178654i | 0.0258302 | + | 0.00805435i | ||||
\(493\) | 20.0250 | − | 23.8649i | 0.901881 | − | 1.07482i | ||||
\(494\) | −0.716265 | − | 0.413536i | −0.0322263 | − | 0.0186059i | ||||
\(495\) | 5.29552 | − | 1.45495i | 0.238016 | − | 0.0653953i | ||||
\(496\) | 26.4291 | − | 15.2589i | 1.18670 | − | 0.685143i | ||||
\(497\) | 0.244415 | − | 0.840846i | 0.0109635 | − | 0.0377171i | ||||
\(498\) | 1.53297 | + | 32.7310i | 0.0686940 | + | 1.46671i | ||||
\(499\) | 4.67510 | + | 1.70160i | 0.209286 | + | 0.0761740i | 0.444536 | − | 0.895761i | \(-0.353369\pi\) |
−0.235250 | + | 0.971935i | \(0.575591\pi\) | |||||||
\(500\) | 0.748268 | + | 0.272347i | 0.0334635 | + | 0.0121797i | ||||
\(501\) | 11.1387 | − | 21.5638i | 0.497641 | − | 0.963399i | ||||
\(502\) | 31.8291 | + | 5.61232i | 1.42060 | + | 0.250490i | ||||
\(503\) | −9.79528 | − | 16.9659i | −0.436750 | − | 0.756473i | 0.560687 | − | 0.828028i | \(-0.310537\pi\) |
−0.997437 | + | 0.0715548i | \(0.977204\pi\) | |||||||
\(504\) | 11.1934 | + | 20.0651i | 0.498592 | + | 0.893770i | ||||
\(505\) | 14.9404 | − | 25.8775i | 0.664839 | − | 1.15154i | ||||
\(506\) | −4.53195 | + | 5.40096i | −0.201470 | + | 0.240102i | ||||
\(507\) | −4.84715 | − | 21.5409i | −0.215269 | − | 0.956665i | ||||
\(508\) | 0.0532993 | + | 0.302275i | 0.00236477 | + | 0.0134113i | ||||
\(509\) | 30.7820 | − | 25.8292i | 1.36439 | − | 1.14486i | 0.389789 | − | 0.920904i | \(-0.372548\pi\) |
0.974600 | − | 0.223954i | \(-0.0718967\pi\) | |||||||
\(510\) | 11.7998 | + | 28.2339i | 0.522504 | + | 1.25022i | ||||
\(511\) | −9.31394 | + | 2.28635i | −0.412024 | + | 0.101142i | ||||
\(512\) | 24.0845i | 1.06440i | ||||||||
\(513\) | 4.88764 | − | 3.82476i | 0.215794 | − | 0.168867i | ||||
\(514\) | 16.6378i | 0.733862i | ||||||||
\(515\) | 16.6331 | + | 45.6990i | 0.732941 | + | 2.01374i | ||||
\(516\) | 0.230684 | − | 1.79617i | 0.0101553 | − | 0.0790721i | ||||
\(517\) | −1.70288 | − | 2.02942i | −0.0748928 | − | 0.0892538i | ||||
\(518\) | −1.79159 | − | 27.0303i | −0.0787177 | − | 1.18764i | ||||
\(519\) | −16.5625 | + | 15.2736i | −0.727015 | + | 0.670436i | ||||
\(520\) | −2.94558 | − | 2.47164i | −0.129172 | − | 0.108389i | ||||
\(521\) | −9.63350 | + | 16.6857i | −0.422051 | + | 0.731014i | −0.996140 | − | 0.0877789i | \(-0.972023\pi\) |
0.574089 | + | 0.818793i | \(0.305356\pi\) | |||||||
\(522\) | 21.8651 | + | 15.1046i | 0.957011 | + | 0.661109i | ||||
\(523\) | 27.2798 | − | 15.7500i | 1.19286 | − | 0.688700i | 0.233908 | − | 0.972259i | \(-0.424848\pi\) |
0.958955 | + | 0.283559i | \(0.0915151\pi\) | |||||||
\(524\) | −0.0887203 | + | 0.503158i | −0.00387577 | + | 0.0219806i | ||||
\(525\) | 8.16901 | − | 4.06821i | 0.356525 | − | 0.177551i | ||||
\(526\) | −0.203012 | − | 0.0738904i | −0.00885175 | − | 0.00322178i | ||||
\(527\) | 13.3508 | − | 36.6811i | 0.581571 | − | 1.59785i | ||||
\(528\) | −3.82500 | + | 2.45386i | −0.166462 | + | 0.106791i | ||||
\(529\) | −5.48505 | + | 31.1073i | −0.238481 | + | 1.35249i | ||||
\(530\) | −18.8414 | − | 32.6343i | −0.818418 | − | 1.41754i | ||||
\(531\) | 17.6562 | − | 8.36980i | 0.766212 | − | 0.363218i | ||||
\(532\) | 0.186856 | − | 0.255233i | 0.00810125 | − | 0.0110657i | ||||
\(533\) | 1.11780 | − | 1.33214i | 0.0484173 | − | 0.0577015i | ||||
\(534\) | −15.6842 | − | 17.0079i | −0.678724 | − | 0.736002i | ||||
\(535\) | −26.9903 | + | 4.75911i | −1.16689 | + | 0.205754i | ||||
\(536\) | −6.41552 | − | 7.64572i | −0.277108 | − | 0.330245i | ||||
\(537\) | 25.4035 | + | 3.26260i | 1.09624 | + | 0.140792i | ||||
\(538\) | 8.65619 | + | 23.7827i | 0.373195 | + | 1.02534i | ||||
\(539\) | −1.04197 | + | 4.73290i | −0.0448809 | + | 0.203860i | ||||
\(540\) | 1.21381 | − | 0.646605i | 0.0522341 | − | 0.0278255i | ||||
\(541\) | 35.6863 | 1.53427 | 0.767136 | − | 0.641484i | \(-0.221681\pi\) | ||||
0.767136 | + | 0.641484i | \(0.221681\pi\) | |||||||
\(542\) | 10.3427 | − | 3.76444i | 0.444257 | − | 0.161696i | ||||
\(543\) | −5.94746 | − | 14.2308i | −0.255230 | − | 0.610700i | ||||
\(544\) | 1.76269 | + | 2.10069i | 0.0755747 | + | 0.0900664i | ||||
\(545\) | 5.71845 | + | 32.4309i | 0.244951 | + | 1.38919i | ||||
\(546\) | 3.15301 | − | 0.357767i | 0.134937 | − | 0.0153110i | ||||
\(547\) | 4.18262 | + | 3.50963i | 0.178836 | + | 0.150061i | 0.727811 | − | 0.685777i | \(-0.240538\pi\) |
−0.548976 | + | 0.835838i | \(0.684982\pi\) | |||||||
\(548\) | −0.341979 | − | 0.197441i | −0.0146086 | − | 0.00843428i | ||||
\(549\) | −10.0186 | − | 4.59469i | −0.427583 | − | 0.196097i | ||||
\(550\) | 0.950191 | + | 1.64578i | 0.0405163 | + | 0.0701763i | ||||
\(551\) | 1.33293 | − | 7.55940i | 0.0567846 | − | 0.322041i | ||||
\(552\) | −17.0006 | + | 32.9119i | −0.723592 | + | 1.40083i | ||||
\(553\) | 12.0808 | − | 24.5429i | 0.513729 | − | 1.04367i | ||||
\(554\) | −7.87781 | + | 21.6441i | −0.334696 | + | 0.919570i | ||||
\(555\) | −33.9826 | + | 1.59159i | −1.44248 | + | 0.0675592i | ||||
\(556\) | −1.05181 | − | 0.185463i | −0.0446067 | − | 0.00786537i | ||||
\(557\) | 1.02434 | − | 0.591404i | 0.0434027 | − | 0.0250586i | −0.478142 | − | 0.878283i | \(-0.658689\pi\) |
0.521544 | + | 0.853224i | \(0.325356\pi\) | |||||||
\(558\) | 32.2178 | + | 8.41432i | 1.36389 | + | 0.356207i | ||||
\(559\) | −4.54432 | − | 2.62367i | −0.192204 | − | 0.110969i | ||||
\(560\) | −19.1380 | + | 18.3476i | −0.808730 | + | 0.775329i | ||||
\(561\) | −1.73037 | + | 5.54928i | −0.0730564 | + | 0.234291i | ||||
\(562\) | 2.85059 | + | 16.1665i | 0.120245 | + | 0.681942i | ||||
\(563\) | 0.126009 | − | 0.105734i | 0.00531065 | − | 0.00445617i | −0.640128 | − | 0.768268i | \(-0.721119\pi\) |
0.645439 | + | 0.763812i | \(0.276674\pi\) | |||||||
\(564\) | −0.527619 | − | 0.402207i | −0.0222168 | − | 0.0169360i | ||||
\(565\) | −2.74656 | − | 7.54611i | −0.115549 | − | 0.317467i | ||||
\(566\) | −2.03510 | −0.0855416 | ||||||||
\(567\) | −6.35616 | + | 22.9477i | −0.266934 | + | 0.963715i | ||||
\(568\) | 0.958046 | 0.0401987 | ||||||||
\(569\) | −0.775698 | − | 2.13121i | −0.0325189 | − | 0.0893450i | 0.922371 | − | 0.386306i | \(-0.126249\pi\) |
−0.954890 | + | 0.296961i | \(0.904027\pi\) | |||||||
\(570\) | 5.99622 | + | 4.57095i | 0.251154 | + | 0.191456i | ||||
\(571\) | −2.95026 | + | 2.47556i | −0.123465 | + | 0.103599i | −0.702429 | − | 0.711754i | \(-0.747901\pi\) |
0.578965 | + | 0.815353i | \(0.303457\pi\) | |||||||
\(572\) | −0.00604555 | − | 0.0342860i | −0.000252777 | − | 0.00143357i | ||||
\(573\) | −7.75391 | + | 24.8667i | −0.323924 | + | 1.03882i | ||||
\(574\) | −8.73607 | − | 9.11241i | −0.364636 | − | 0.380345i | ||||
\(575\) | 12.7422 | + | 7.35672i | 0.531387 | + | 0.306796i | ||||
\(576\) | −17.6201 | + | 17.8448i | −0.734170 | + | 0.743533i | ||||
\(577\) | −21.2066 | + | 12.2436i | −0.882840 | + | 0.509708i | −0.871594 | − | 0.490229i | \(-0.836913\pi\) |
−0.0112465 | + | 0.999937i | \(0.503580\pi\) | |||||||
\(578\) | −8.82099 | − | 1.55538i | −0.366905 | − | 0.0646952i | ||||
\(579\) | 13.8901 | − | 0.650549i | 0.577252 | − | 0.0270359i | ||||
\(580\) | 0.581771 | − | 1.59840i | 0.0241567 | − | 0.0663701i | ||||
\(581\) | −16.0368 | + | 32.5796i | −0.665317 | + | 1.35163i | ||||
\(582\) | 3.55322 | − | 6.87880i | 0.147286 | − | 0.285135i | ||||
\(583\) | 1.24300 | − | 7.04940i | 0.0514798 | − | 0.291956i | ||||
\(584\) | −5.24645 | − | 9.08712i | −0.217100 | − | 0.376027i | ||||
\(585\) | −0.372466 | − | 3.96760i | −0.0153996 | − | 0.164040i | ||||
\(586\) | −2.14220 | − | 1.23680i | −0.0884934 | − | 0.0510917i | ||||
\(587\) | −22.2020 | − | 18.6297i | −0.916376 | − | 0.768931i | 0.0569450 | − | 0.998377i | \(-0.481864\pi\) |
−0.973321 | + | 0.229446i | \(0.926308\pi\) | |||||||
\(588\) | 0.00562650 | + | 1.21362i | 0.000232033 | + | 0.0500490i | ||||
\(589\) | −1.67016 | − | 9.47193i | −0.0688176 | − | 0.390284i | ||||
\(590\) | 15.2584 | + | 18.1843i | 0.628179 | + | 0.748634i | ||||
\(591\) | −0.748914 | − | 1.79196i | −0.0308062 | − | 0.0737114i | ||||
\(592\) | 26.4538 | − | 9.62839i | 1.08724 | − | 0.395724i | ||||
\(593\) | 17.6094 | 0.723133 | 0.361566 | − | 0.932346i | \(-0.382242\pi\) | ||||
0.361566 | + | 0.932346i | \(0.382242\pi\) | |||||||
\(594\) | −4.85099 | − | 1.02717i | −0.199038 | − | 0.0421452i | ||||
\(595\) | −3.66713 | + | 33.7129i | −0.150338 | + | 1.38210i | ||||
\(596\) | 0.104969 | + | 0.288399i | 0.00429968 | + | 0.0118133i | ||||
\(597\) | 38.7941 | + | 4.98236i | 1.58774 | + | 0.203914i | ||||
\(598\) | 3.28857 | + | 3.91916i | 0.134480 | + | 0.160267i | ||||
\(599\) | −35.3300 | + | 6.22964i | −1.44355 | + | 0.254536i | −0.839911 | − | 0.542725i | \(-0.817393\pi\) |
−0.603635 | + | 0.797261i | \(0.706282\pi\) | |||||||
\(600\) | 6.76885 | + | 7.34008i | 0.276337 | + | 0.299658i | ||||
\(601\) | −12.0878 | + | 14.4057i | −0.493072 | + | 0.587621i | −0.953996 | − | 0.299819i | \(-0.903074\pi\) |
0.460924 | + | 0.887440i | \(0.347518\pi\) | |||||||
\(602\) | −22.5011 | + | 30.7349i | −0.917077 | + | 1.25266i | ||||
\(603\) | 0.836216 | − | 10.3100i | 0.0340533 | − | 0.419854i | ||||
\(604\) | −1.09471 | − | 1.89610i | −0.0445433 | − | 0.0771512i | ||||
\(605\) | 4.83057 | − | 27.3955i | 0.196390 | − | 1.11379i | ||||
\(606\) | −22.7083 | + | 14.5681i | −0.922461 | + | 0.591789i | ||||
\(607\) | 7.62058 | − | 20.9374i | 0.309310 | − | 0.849822i | −0.683482 | − | 0.729968i | \(-0.739535\pi\) |
0.992792 | − | 0.119854i | \(-0.0382427\pi\) | |||||||
\(608\) | 0.634928 | + | 0.231095i | 0.0257497 | + | 0.00937214i | ||||
\(609\) | 13.1287 | + | 26.3626i | 0.532002 | + | 1.06826i | ||||
\(610\) | 2.32518 | − | 13.1868i | 0.0941438 | − | 0.533916i | ||||
\(611\) | −1.66483 | + | 0.961191i | −0.0673519 | + | 0.0388856i | ||||
\(612\) | −0.117681 | + | 1.45093i | −0.00475698 | + | 0.0586503i | ||||
\(613\) | 4.07821 | − | 7.06368i | 0.164718 | − | 0.285299i | −0.771837 | − | 0.635820i | \(-0.780662\pi\) |
0.936555 | + | 0.350521i | \(0.113995\pi\) | |||||||
\(614\) | 1.27275 | + | 1.06796i | 0.0513640 | + | 0.0430995i | ||||
\(615\) | −11.6541 | + | 10.7471i | −0.469939 | + | 0.433366i | ||||
\(616\) | −5.29065 | + | 0.350668i | −0.213166 | + | 0.0141288i | ||||
\(617\) | −2.71597 | − | 3.23676i | −0.109341 | − | 0.130307i | 0.708598 | − | 0.705612i | \(-0.249328\pi\) |
−0.817939 | + | 0.575305i | \(0.804883\pi\) | |||||||
\(618\) | 5.59346 | − | 43.5523i | 0.225002 | − | 1.75193i | ||||
\(619\) | 5.39210 | + | 14.8147i | 0.216727 | + | 0.595452i | 0.999644 | − | 0.0266739i | \(-0.00849157\pi\) |
−0.782918 | + | 0.622126i | \(0.786269\pi\) | |||||||
\(620\) | − | 2.13133i | − | 0.0855964i | ||||||
\(621\) | −36.5026 | + | 11.8918i | −1.46480 | + | 0.477201i | ||||
\(622\) | − | 21.9630i | − | 0.880637i | ||||||
\(623\) | −6.11238 | − | 24.9001i | −0.244888 | − | 0.997600i | ||||
\(624\) | 1.27160 | + | 3.04261i | 0.0509047 | + | 0.121802i | ||||
\(625\) | −23.7408 | + | 19.9209i | −0.949631 | + | 0.796835i | ||||
\(626\) | −7.69488 | − | 43.6398i | −0.307549 | − | 1.74420i | ||||
\(627\) | 0.314422 | + | 1.39730i | 0.0125568 | + | 0.0558029i | ||||
\(628\) | 0.448797 | − | 0.534855i | 0.0179089 | − | 0.0213430i | ||||
\(629\) | 18.0043 | − | 31.1844i | 0.717878 | − | 1.24340i | ||||
\(630\) | −28.9249 | − | 0.426574i | −1.15240 | − | 0.0169951i | ||||
\(631\) | 13.4875 | + | 23.3610i | 0.536928 | + | 0.929986i | 0.999067 | + | 0.0431791i | \(0.0137486\pi\) |
−0.462139 | + | 0.886807i | \(0.652918\pi\) | |||||||
\(632\) | 29.4745 | + | 5.19714i | 1.17243 | + | 0.206731i | ||||
\(633\) | 13.9878 | − | 27.0795i | 0.555967 | − | 1.07631i | ||||
\(634\) | −25.5694 | − | 9.30651i | −1.01549 | − | 0.369609i | ||||
\(635\) | −7.61887 | − | 2.77304i | −0.302346 | − | 0.110045i | ||||
\(636\) | −0.0838655 | − | 1.79064i | −0.00332548 | − | 0.0710036i | ||||
\(637\) | 3.25091 | + | 1.34099i | 0.128806 | + | 0.0531318i | ||||
\(638\) | −5.31116 | + | 3.06640i | −0.210271 | + | 0.121400i | ||||
\(639\) | 0.706515 | + | 0.697619i | 0.0279493 | + | 0.0275974i | ||||
\(640\) | −23.7938 | − | 13.7373i | −0.940532 | − | 0.543016i | ||||
\(641\) | 16.8200 | − | 20.0453i | 0.664351 | − | 0.791742i | −0.323653 | − | 0.946176i | \(-0.604911\pi\) |
0.988003 | + | 0.154434i | \(0.0493553\pi\) | |||||||
\(642\) | 23.6238 | + | 7.36635i | 0.932356 | + | 0.290726i | ||||
\(643\) | −4.19726 | + | 0.740090i | −0.165524 | + | 0.0291863i | −0.255796 | − | 0.966731i | \(-0.582337\pi\) |
0.0902720 | + | 0.995917i | \(0.471226\pi\) | |||||||
\(644\) | −1.62614 | + | 1.08828i | −0.0640788 | + | 0.0428842i | ||||
\(645\) | 38.0428 | + | 29.0003i | 1.49794 | + | 1.14188i | ||||
\(646\) | −7.49926 | + | 2.72951i | −0.295054 | + | 0.107391i | ||||
\(647\) | −3.64617 | −0.143346 | −0.0716728 | − | 0.997428i | \(-0.522834\pi\) | ||||
−0.0716728 | + | 0.997428i | \(0.522834\pi\) | |||||||
\(648\) | −26.0503 | + | 0.330128i | −1.02335 | + | 0.0129687i | ||||
\(649\) | 4.50920i | 0.177002i | ||||||||
\(650\) | 1.29583 | − | 0.471644i | 0.0508267 | − | 0.0184994i | ||||
\(651\) | 26.7559 | + | 25.4139i | 1.04865 | + | 0.996048i | ||||
\(652\) | 1.22581 | − | 1.02857i | 0.0480063 | − | 0.0402821i | ||||
\(653\) | 13.9617 | − | 2.46183i | 0.546364 | − | 0.0963388i | 0.106349 | − | 0.994329i | \(-0.466084\pi\) |
0.440016 | + | 0.897990i | \(0.354973\pi\) | |||||||
\(654\) | 8.85124 | − | 28.3858i | 0.346111 | − | 1.10997i | ||||
\(655\) | −10.3386 | − | 8.67509i | −0.403961 | − | 0.338964i | ||||
\(656\) | 6.55923 | − | 11.3609i | 0.256095 | − | 0.443569i | ||||
\(657\) | 2.74793 | − | 10.5216i | 0.107207 | − | 0.410488i | ||||
\(658\) | 5.62965 | + | 12.7689i | 0.219467 | + | 0.497784i | ||||
\(659\) | −1.27777 | − | 0.225306i | −0.0497750 | − | 0.00877668i | 0.148705 | − | 0.988882i | \(-0.452489\pi\) |
−0.198480 | + | 0.980105i | \(0.563601\pi\) | |||||||
\(660\) | 0.0148484 | + | 0.317033i | 0.000577973 | + | 0.0123405i | ||||
\(661\) | −8.92686 | + | 24.5263i | −0.347215 | + | 0.953964i | 0.636029 | + | 0.771665i | \(0.280576\pi\) |
−0.983243 | + | 0.182299i | \(0.941646\pi\) | |||||||
\(662\) | 10.1335 | − | 27.8415i | 0.393848 | − | 1.08209i | ||||
\(663\) | 3.74757 | + | 1.93580i | 0.145544 | + | 0.0751802i | ||||
\(664\) | −39.1260 | − | 6.89897i | −1.51838 | − | 0.267732i | ||||
\(665\) | 3.37083 | + | 7.64557i | 0.130715 | + | 0.296483i | ||||
\(666\) | 27.9205 | + | 12.8048i | 1.08190 | + | 0.496176i | ||||
\(667\) | −23.7412 | + | 41.1209i | −0.919262 | + | 1.59221i | ||||
\(668\) | 1.07450 | + | 0.901612i | 0.0415736 | + | 0.0348844i | ||||
\(669\) | 14.4035 | − | 3.24109i | 0.556872 | − | 0.125308i | ||||
\(670\) | 12.3754 | − | 2.18212i | 0.478104 | − | 0.0843026i | ||||
\(671\) | 1.94849 | − | 1.63498i | 0.0752206 | − | 0.0631176i | ||||
\(672\) | −2.48597 | + | 0.735130i | −0.0958983 | + | 0.0283583i | ||||
\(673\) | 3.78929 | − | 1.37919i | 0.146066 | − | 0.0531638i | −0.267952 | − | 0.963432i | \(-0.586347\pi\) |
0.414019 | + | 0.910268i | \(0.364125\pi\) | |||||||
\(674\) | 3.02565i | 0.116544i | ||||||||
\(675\) | −0.353096 | + | 10.3418i | −0.0135907 | + | 0.398057i | ||||
\(676\) | 1.27602 | 0.0490779 | ||||||||
\(677\) | 30.6702 | − | 11.1630i | 1.17875 | − | 0.429031i | 0.322991 | − | 0.946402i | \(-0.395312\pi\) |
0.855761 | + | 0.517372i | \(0.173089\pi\) | |||||||
\(678\) | −0.923628 | + | 7.19163i | −0.0354717 | + | 0.276193i | ||||
\(679\) | 7.13060 | − | 4.77209i | 0.273647 | − | 0.183136i | ||||
\(680\) | −36.5392 | + | 6.44284i | −1.40121 | + | 0.247072i | ||||
\(681\) | 24.7189 | − | 22.7952i | 0.947231 | − | 0.873514i | ||||
\(682\) | −4.93944 | + | 5.88659i | −0.189141 | + | 0.225409i | ||||
\(683\) | 10.2385 | + | 5.91119i | 0.391765 | + | 0.226185i | 0.682924 | − | 0.730489i | \(-0.260708\pi\) |
−0.291160 | + | 0.956674i | \(0.594041\pi\) | |||||||
\(684\) | 0.153639 | + | 0.324102i | 0.00587453 | + | 0.0123924i | ||||
\(685\) | 9.03343 | − | 5.21545i | 0.345149 | − | 0.199272i | ||||
\(686\) | 12.2292 | − | 22.4078i | 0.466915 | − | 0.855536i | ||||
\(687\) | 35.7354 | − | 22.9254i | 1.36339 | − | 0.874660i | ||||
\(688\) | −37.1972 | − | 13.5387i | −1.41813 | − | 0.516157i | ||||
\(689\) | −4.88100 | − | 1.77654i | −0.185951 | − | 0.0676807i | ||||
\(690\) | −25.1839 | − | 39.2559i | −0.958736 | − | 1.49445i | ||||
\(691\) | −17.9042 | − | 3.15699i | −0.681107 | − | 0.120098i | −0.177619 | − | 0.984099i | \(-0.556839\pi\) |
−0.503489 | + | 0.864002i | \(0.667950\pi\) | |||||||
\(692\) | −0.651029 | − | 1.12762i | −0.0247484 | − | 0.0428655i | ||||
\(693\) | −4.15696 | − | 3.59388i | −0.157910 | − | 0.136520i | ||||
\(694\) | 17.7881 | − | 30.8100i | 0.675229 | − | 1.16953i | ||||
\(695\) | 18.1346 | − | 21.6119i | 0.687883 | − | 0.819787i | ||||
\(696\) | −23.6875 | + | 21.8440i | −0.897872 | + | 0.827996i | ||||
\(697\) | −2.91378 | − | 16.5249i | −0.110367 | − | 0.625924i | ||||
\(698\) | −33.0069 | + | 27.6960i | −1.24933 | + | 1.04831i | ||||
\(699\) | −5.93026 | − | 0.761628i | −0.224303 | − | 0.0288074i | ||||
\(700\) | 0.125734 | + | 0.512203i | 0.00475229 | + | 0.0193594i | ||||
\(701\) | − | 48.4943i | − | 1.83160i | −0.401629 | − | 0.915802i | \(-0.631556\pi\) | ||
0.401629 | − | 0.915802i | \(-0.368444\pi\) | |||||||
\(702\) | −1.34529 | + | 3.33717i | −0.0507746 | + | 0.125953i | ||||
\(703\) | − | 8.87231i | − | 0.334625i | ||||||
\(704\) | −1.97938 | − | 5.43830i | −0.0746007 | − | 0.204964i | ||||
\(705\) | 16.1696 | − | 6.75774i | 0.608981 | − | 0.254511i | ||||
\(706\) | 7.92257 | + | 9.44175i | 0.298170 | + | 0.355345i | ||||
\(707\) | −29.8336 | + | 1.97739i | −1.12201 | + | 0.0743675i | ||||
\(708\) | 0.247902 | + | 1.10169i | 0.00931673 | + | 0.0414039i | ||||
\(709\) | 10.5955 | + | 8.89065i | 0.397921 | + | 0.333895i | 0.819689 | − | 0.572808i | \(-0.194146\pi\) |
−0.421768 | + | 0.906704i | \(0.638590\pi\) | |||||||
\(710\) | −0.603115 | + | 1.04463i | −0.0226345 | + | 0.0392041i | ||||
\(711\) | 17.9517 | + | 25.2950i | 0.673241 | + | 0.948638i | ||||
\(712\) | 24.2937 | − | 14.0260i | 0.910444 | − | 0.525645i | ||||
\(713\) | −10.3313 | + | 58.5915i | −0.386909 | + | 2.19427i | ||||
\(714\) | 16.9116 | − | 25.5251i | 0.632902 | − | 0.955253i | ||||
\(715\) | 0.864181 | + | 0.314536i | 0.0323185 | + | 0.0117630i | ||||
\(716\) | −0.506253 | + | 1.39092i | −0.0189196 | + | 0.0519811i | ||||
\(717\) | −0.821069 | − | 17.5309i | −0.0306634 | − | 0.654705i | ||||
\(718\) | −3.69863 | + | 20.9760i | −0.138032 | + | 0.782817i | ||||
\(719\) | 15.5281 | + | 26.8955i | 0.579102 | + | 1.00303i | 0.995583 | + | 0.0938898i | \(0.0299301\pi\) |
−0.416480 | + | 0.909145i | \(0.636737\pi\) | |||||||
\(720\) | −7.96447 | − | 28.9879i | −0.296818 | − | 1.08031i | ||||
\(721\) | 28.7453 | − | 39.2640i | 1.07053 | − | 1.46227i | ||||
\(722\) | 15.5700 | − | 18.5556i | 0.579456 | − | 0.690569i | ||||
\(723\) | 3.03476 | − | 9.73242i | 0.112864 | − | 0.361952i | ||||
\(724\) | 0.877821 | − | 0.154784i | 0.0326240 | − | 0.00575248i | ||||
\(725\) | 8.22665 | + | 9.80414i | 0.305530 | + | 0.364117i | ||||
\(726\) | −15.2272 | + | 19.9751i | −0.565133 | + | 0.741346i | ||||
\(727\) | −5.22873 | − | 14.3658i | −0.193923 | − | 0.532799i | 0.804179 | − | 0.594388i | \(-0.202605\pi\) |
−0.998102 | + | 0.0615888i | \(0.980383\pi\) | |||||||
\(728\) | −0.416062 | + | 3.82498i | −0.0154203 | + | 0.141763i | ||||
\(729\) | −19.4513 | − | 18.7256i | −0.720419 | − | 0.693539i | ||||
\(730\) | 13.2111 | 0.488965 | ||||||||
\(731\) | −47.5788 | + | 17.3173i | −1.75977 | + | 0.640503i | ||||
\(732\) | 0.386168 | − | 0.506579i | 0.0142732 | − | 0.0187237i | ||||
\(733\) | 2.45103 | + | 2.92103i | 0.0905310 | + | 0.107891i | 0.809408 | − | 0.587246i | \(-0.199788\pi\) |
−0.718877 | + | 0.695137i | \(0.755344\pi\) | |||||||
\(734\) | 4.10761 | + | 23.2954i | 0.151615 | + | 0.859849i | ||||
\(735\) | −27.8374 | − | 15.9003i | −1.02680 | − | 0.586492i | ||||
\(736\) | −3.20176 | − | 2.68660i | −0.118019 | − | 0.0990293i | ||||
\(737\) | 2.06727 | + | 1.19354i | 0.0761488 | + | 0.0439645i | ||||
\(738\) | 13.8023 | − | 3.79221i | 0.508070 | − | 0.139593i | ||||
\(739\) | 7.35130 | + | 12.7328i | 0.270422 | + | 0.468385i | 0.968970 | − | 0.247179i | \(-0.0795034\pi\) |
−0.698548 | + | 0.715563i | \(0.746170\pi\) | |||||||
\(740\) | 0.341406 | − | 1.93621i | 0.0125503 | − | 0.0711765i | ||||
\(741\) | 1.03816 | − | 0.0486225i | 0.0381376 | − | 0.00178619i | ||||
\(742\) | −16.6520 | + | 33.8296i | −0.611316 | + | 1.24192i | ||||
\(743\) | −1.42412 | + | 3.91275i | −0.0522460 | + | 0.143545i | −0.963071 | − | 0.269249i | \(-0.913225\pi\) |
0.910825 | + | 0.412793i | \(0.135447\pi\) | |||||||
\(744\) | −18.5292 | + | 35.8712i | −0.679313 | + | 1.31510i | ||||
\(745\) | −7.98385 | − | 1.40777i | −0.292506 | − | 0.0515767i | ||||
\(746\) | −13.2874 | + | 7.67147i | −0.486486 | + | 0.280873i | ||||
\(747\) | −23.8300 | − | 33.5780i | −0.871896 | − | 1.22855i | ||||
\(748\) | −0.290928 | − | 0.167967i | −0.0106374 | − | 0.00614150i | ||||
\(749\) | 18.9782 | + | 19.7957i | 0.693447 | + | 0.723321i | ||||
\(750\) | 18.5286 | − | 4.16931i | 0.676567 | − | 0.152242i | ||||
\(751\) | 7.19549 | + | 40.8077i | 0.262567 | + | 1.48909i | 0.775874 | + | 0.630888i | \(0.217309\pi\) |
−0.513307 | + | 0.858205i | \(0.671580\pi\) | |||||||
\(752\) | −11.1091 | + | 9.32165i | −0.405108 | + | 0.339926i | ||||
\(753\) | −37.4723 | + | 15.6608i | −1.36557 | + | 0.570711i | ||||
\(754\) | 1.52206 | + | 4.18184i | 0.0554303 | + | 0.152293i | ||||
\(755\) | 57.8341 | 2.10480 | ||||||||
\(756\) | −1.21321 | − | 0.649519i | −0.0441239 | − | 0.0236228i | ||||
\(757\) | 4.90770 | 0.178373 | 0.0891867 | − | 0.996015i | \(-0.471573\pi\) | ||||
0.0891867 | + | 0.996015i | \(0.471573\pi\) | |||||||
\(758\) | −16.7315 | − | 45.9695i | −0.607717 | − | 1.66969i | ||||
\(759\) | 1.12857 | − | 8.78739i | 0.0409646 | − | 0.318962i | ||||
\(760\) | −7.00312 | + | 5.87632i | −0.254030 | + | 0.213156i | ||||
\(761\) | −0.618133 | − | 3.50561i | −0.0224073 | − | 0.127078i | 0.971552 | − | 0.236825i | \(-0.0761070\pi\) |
−0.993960 | + | 0.109747i | \(0.964996\pi\) | |||||||
\(762\) | 4.96281 | + | 5.38162i | 0.179783 | + | 0.194956i | ||||
\(763\) | 23.7861 | − | 22.8038i | 0.861116 | − | 0.825551i | ||||
\(764\) | −1.30367 | − | 0.752672i | −0.0471650 | − | 0.0272307i | ||||
\(765\) | −31.6374 | − | 21.8554i | −1.14385 | − | 0.790182i | ||||
\(766\) | −24.5951 | + | 14.2000i | −0.888658 | + | 0.513067i | ||||
\(767\) | 3.22235 | + | 0.568188i | 0.116352 | + | 0.0205161i | ||||
\(768\) | −2.24111 | − | 3.49337i | −0.0808691 | − | 0.126056i | ||||
\(769\) | 5.08016 | − | 13.9576i | 0.183195 | − | 0.503325i | −0.813769 | − | 0.581189i | \(-0.802588\pi\) |
0.996964 | + | 0.0778641i | \(0.0248100\pi\) | |||||||
\(770\) | 2.94824 | − | 5.98953i | 0.106247 | − | 0.215848i | ||||
\(771\) | −11.2891 | − | 17.5971i | −0.406567 | − | 0.633743i | ||||
\(772\) | −0.139547 | + | 0.791410i | −0.00502241 | + | 0.0284835i | ||||
\(773\) | −22.5761 | − | 39.1030i | −0.812006 | − | 1.40644i | −0.911458 | − | 0.411394i | \(-0.865042\pi\) |
0.0994515 | − | 0.995042i | \(-0.468291\pi\) | |||||||
\(774\) | −18.5011 | − | 39.0282i | −0.665008 | − | 1.40284i | ||||
\(775\) | 13.8879 | + | 8.01820i | 0.498869 | + | 0.288022i | ||||
\(776\) | 7.19123 | + | 6.03416i | 0.258150 | + | 0.216614i | ||||
\(777\) | 20.2355 | + | 27.3731i | 0.725945 | + | 0.982005i | ||||
\(778\) | −8.88346 | − | 50.3806i | −0.318487 | − | 1.80623i | ||||
\(779\) | −2.65757 | − | 3.16717i | −0.0952173 | − | 0.113476i | ||||
\(780\) | 0.228429 | + | 0.0293373i | 0.00817905 | + | 0.00105044i | ||||
\(781\) | −0.215315 | + | 0.0783681i | −0.00770456 | + | 0.00280423i | ||||
\(782\) | 49.3661 | 1.76533 | ||||||||
\(783\) | −33.3746 | − | 1.13949i | −1.19271 | − | 0.0407221i | ||||
\(784\) | 25.9080 | + | 5.70378i | 0.925287 | + | 0.203707i | ||||
\(785\) | 6.30794 | + | 17.3309i | 0.225140 | + | 0.618567i | ||||
\(786\) | 4.69889 | + | 11.2433i | 0.167604 | + | 0.401033i | ||||
\(787\) | 28.1220 | + | 33.5145i | 1.00244 | + | 1.19466i | 0.980824 | + | 0.194895i | \(0.0624366\pi\) |
0.0216158 | + | 0.999766i | \(0.493119\pi\) | |||||||
\(788\) | 0.110537 | − | 0.0194906i | 0.00393770 | − | 0.000694323i | ||||
\(789\) | 0.264854 | − | 0.0595975i | 0.00942904 | − | 0.00212173i | ||||
\(790\) | −24.2218 | + | 28.8664i | −0.861772 | + | 1.02702i | ||||
\(791\) | −4.74660 | + | 6.48352i | −0.168770 | + | 0.230527i | ||||
\(792\) | 2.50629 | − | 5.46489i | 0.0890571 | − | 0.194186i | ||||
\(793\) | −0.922860 | − | 1.59844i | −0.0327717 | − | 0.0567623i | ||||
\(794\) | −2.25072 | + | 12.7645i | −0.0798750 | + | 0.452994i | ||||
\(795\) | 42.0708 | + | 21.7315i | 1.49210 | + | 0.770738i | ||||
\(796\) | −0.773106 | + | 2.12409i | −0.0274020 | + | 0.0752864i | ||||
\(797\) | −13.4134 | − | 4.88208i | −0.475128 | − | 0.172932i | 0.0933461 | − | 0.995634i | \(-0.470244\pi\) |
−0.568474 | + | 0.822701i | \(0.692466\pi\) | |||||||
\(798\) | 0.464047 | − | 7.53010i | 0.0164271 | − | 0.266563i | ||||
\(799\) | −3.22107 | + | 18.2676i | −0.113953 | + | 0.646260i | ||||
\(800\) | −0.975639 | + | 0.563286i | −0.0344941 | + | 0.0199152i | ||||
\(801\) | 28.1288 | + | 7.34638i | 0.993881 | + | 0.259572i | ||||
\(802\) | −3.65715 | + | 6.33437i | −0.129138 | + | 0.223674i | ||||
\(803\) | 1.92243 | + | 1.61311i | 0.0678411 | + | 0.0569255i | ||||
\(804\) | 0.570691 | + | 0.177952i | 0.0201267 | + | 0.00627590i | ||||
\(805\) | −3.41832 | − | 51.5734i | −0.120480 | − | 1.81772i | ||||
\(806\) | 3.58426 | + | 4.27156i | 0.126250 | + | 0.150459i | ||||
\(807\) | −25.2923 | − | 19.2805i | −0.890333 | − | 0.678706i | ||||
\(808\) | −11.1883 | − | 30.7397i | −0.393604 | − | 1.08142i | ||||
\(809\) | 0.143221i | 0.00503539i | 0.999997 | + | 0.00251770i | \(0.000801408\pi\) | ||||
−0.999997 | + | 0.00251770i | \(0.999199\pi\) | |||||||
\(810\) | 16.0394 | − | 28.6123i | 0.563567 | − | 1.00533i | ||||
\(811\) | − | 45.2402i | − | 1.58860i | −0.607527 | − | 0.794299i | \(-0.707839\pi\) | ||
0.607527 | − | 0.794299i | \(-0.292161\pi\) | |||||||
\(812\) | −1.65295 | + | 0.405761i | −0.0580072 | + | 0.0142394i | ||||
\(813\) | −8.38478 | + | 10.9992i | −0.294067 | + | 0.385760i | ||||
\(814\) | −5.43018 | + | 4.55646i | −0.190328 | + | 0.159704i | ||||
\(815\) | 7.33993 | + | 41.6268i | 0.257106 | + | 1.45812i | ||||
\(816\) | 30.3769 | + | 9.47212i | 1.06341 | + | 0.331590i | ||||
\(817\) | −8.01911 | + | 9.55680i | −0.280553 | + | 0.334350i | ||||
\(818\) | −7.79136 | + | 13.4950i | −0.272418 | + | 0.471843i | ||||
\(819\) | −3.09205 | + | 2.51778i | −0.108045 | + | 0.0879785i | ||||
\(820\) | −0.458091 | − | 0.793437i | −0.0159972 | − | 0.0277080i | ||||
\(821\) | 43.5103 | + | 7.67203i | 1.51852 | + | 0.267756i | 0.869850 | − | 0.493316i | \(-0.164215\pi\) |
0.648668 | + | 0.761071i | \(0.275326\pi\) | |||||||
\(822\) | −9.40781 | + | 0.440619i | −0.328135 | + | 0.0153684i | ||||
\(823\) | −18.7636 | − | 6.82940i | −0.654059 | − | 0.238058i | −0.00638963 | − | 0.999980i | \(-0.502034\pi\) |
−0.647669 | + | 0.761922i | \(0.724256\pi\) | |||||||
\(824\) | 50.0298 | + | 18.2093i | 1.74287 | + | 0.634353i | ||||
\(825\) | −2.12167 | − | 1.09594i | −0.0738672 | − | 0.0381559i | ||||
\(826\) | 6.62987 | − | 22.8084i | 0.230683 | − | 0.793604i | ||||
\(827\) | −44.9608 | + | 25.9581i | −1.56344 | + | 0.902653i | −0.566536 | + | 0.824037i | \(0.691717\pi\) |
−0.996905 | + | 0.0786167i | \(0.974950\pi\) | |||||||
\(828\) | −0.207372 | − | 2.20898i | −0.00720667 | − | 0.0767673i | ||||
\(829\) | −27.6657 | − | 15.9728i | −0.960871 | − | 0.554759i | −0.0644299 | − | 0.997922i | \(-0.520523\pi\) |
−0.896441 | + | 0.443163i | \(0.853856\pi\) | |||||||
\(830\) | 32.1533 | − | 38.3188i | 1.11606 | − | 1.33006i | ||||
\(831\) | −6.35398 | − | 28.2373i | −0.220417 | − | 0.979541i | ||||
\(832\) | −4.13572 | + | 0.729238i | −0.143380 | + | 0.0252818i | ||||
\(833\) | 30.0755 | − | 15.7125i | 1.04205 | − | 0.544405i | ||||
\(834\) | −23.5031 | + | 9.82265i | −0.813846 | + | 0.340131i | ||||
\(835\) | −34.8170 | + | 12.6724i | −1.20489 | + | 0.438545i | ||||
\(836\) | −0.0827724 | −0.00286274 | ||||||||
\(837\) | −39.7847 | + | 12.9610i | −1.37516 | + | 0.447999i | ||||
\(838\) | 3.09523i | 0.106923i | ||||||||
\(839\) | 15.3238 | − | 5.57740i | 0.529036 | − | 0.192553i | −0.0636719 | − | 0.997971i | \(-0.520281\pi\) |
0.592708 | + | 0.805418i | \(0.298059\pi\) | |||||||
\(840\) | 8.20384 | − | 34.1022i | 0.283059 | − | 1.17664i | ||||
\(841\) | −9.42408 | + | 7.90774i | −0.324968 | + | 0.272681i | ||||
\(842\) | −10.6966 | + | 1.88609i | −0.368628 | + | 0.0649990i | ||||
\(843\) | −13.9843 | − | 15.1644i | −0.481644 | − | 0.522290i | ||||
\(844\) | 1.34934 | + | 1.13223i | 0.0464462 | + | 0.0389730i | ||||
\(845\) | −16.8532 | + | 29.1906i | −0.579768 | + | 1.00419i | ||||
\(846\) | −15.7715 | − | 1.27919i | −0.542237 | − | 0.0439795i | ||||
\(847\) | −25.4696 | + | 11.2292i | −0.875145 | + | 0.385840i | ||||
\(848\) | −38.5887 | − | 6.80422i | −1.32514 | − | 0.233658i | ||||
\(849\) | 2.15244 | − | 1.38086i | 0.0738715 | − | 0.0473910i | ||||
\(850\) | 4.55097 | − | 12.5037i | 0.156097 | − | 0.428873i | ||||
\(851\) | −18.7709 | + | 51.5726i | −0.643458 | + | 1.76789i | ||||
\(852\) | −0.0482971 | + | 0.0309842i | −0.00165463 | + | 0.00106150i | ||||
\(853\) | 35.5687 | + | 6.27173i | 1.21785 | + | 0.214740i | 0.745400 | − | 0.666618i | \(-0.232259\pi\) |
0.472450 | + | 0.881357i | \(0.343370\pi\) | |||||||
\(854\) | −12.2597 | + | 5.40515i | −0.419519 | + | 0.184960i | ||||
\(855\) | −9.44343 | − | 0.765934i | −0.322959 | − | 0.0261944i | ||||
\(856\) | −15.0019 | + | 25.9841i | −0.512756 | + | 0.888119i | ||||
\(857\) | 9.21540 | + | 7.73264i | 0.314792 | + | 0.264142i | 0.786469 | − | 0.617629i | \(-0.211907\pi\) |
−0.471677 | + | 0.881771i | \(0.656351\pi\) | |||||||
\(858\) | −0.562913 | − | 0.610418i | −0.0192175 | − | 0.0208393i | ||||
\(859\) | −40.7685 | + | 7.18859i | −1.39100 | + | 0.245272i | −0.818442 | − | 0.574589i | \(-0.805162\pi\) |
−0.572563 | + | 0.819861i | \(0.694051\pi\) | |||||||
\(860\) | −2.11776 | + | 1.77701i | −0.0722151 | + | 0.0605957i | ||||
\(861\) | 15.4227 | + | 3.71020i | 0.525605 | + | 0.126443i | ||||
\(862\) | 6.86510 | − | 2.49869i | 0.233826 | − | 0.0851058i | ||||
\(863\) | 8.37280i | 0.285014i | 0.989794 | + | 0.142507i | \(0.0455163\pi\) | ||||
−0.989794 | + | 0.142507i | \(0.954484\pi\) | |||||||
\(864\) | 0.608919 | − | 2.87573i | 0.0207158 | − | 0.0978342i | ||||
\(865\) | 34.3941 | 1.16943 | ||||||||
\(866\) | −25.3488 | + | 9.22619i | −0.861386 | + | 0.313519i | ||||
\(867\) | 10.3849 | − | 4.34018i | 0.352691 | − | 0.147400i | ||||
\(868\) | −1.77235 | + | 1.18613i | −0.0601576 | + | 0.0402599i | ||||
\(869\) | −7.04932 | + | 1.24299i | −0.239132 | + | 0.0421654i | ||||
\(870\) | −8.90622 | − | 39.5795i | −0.301949 | − | 1.34187i | ||||
\(871\) | 1.11341 | − | 1.32691i | 0.0377265 | − | 0.0449607i | ||||
\(872\) | 31.2220 | + | 18.0260i | 1.05731 | + | 0.610437i | ||||
\(873\) | 0.909323 | + | 9.68635i | 0.0307759 | + | 0.327833i | ||||
\(874\) | 10.5339 | − | 6.08176i | 0.356315 | − | 0.205719i | ||||
\(875\) | 20.2105 | + | 5.87473i | 0.683239 | + | 0.198602i | ||||
\(876\) | 0.558371 | + | 0.288425i | 0.0188656 | + | 0.00974498i | ||||
\(877\) | −23.1647 | − | 8.43126i | −0.782216 | − | 0.284703i | −0.0801197 | − | 0.996785i | \(-0.525530\pi\) |
−0.702096 | + | 0.712082i | \(0.747752\pi\) | |||||||
\(878\) | −0.985371 | − | 0.358646i | −0.0332547 | − | 0.0121037i | ||||
\(879\) | 3.10490 | − | 0.145420i | 0.104726 | − | 0.00490488i | ||||
\(880\) | 6.83213 | + | 1.20469i | 0.230311 | + | 0.0406100i | ||||
\(881\) | −11.3095 | − | 19.5887i | −0.381028 | − | 0.659959i | 0.610182 | − | 0.792261i | \(-0.291096\pi\) |
−0.991209 | + | 0.132302i | \(0.957763\pi\) | |||||||
\(882\) | 15.7426 | + | 24.2905i | 0.530080 | + | 0.817903i | ||||
\(883\) | 3.43466 | − | 5.94900i | 0.115585 | − | 0.200200i | −0.802428 | − | 0.596749i | \(-0.796459\pi\) |
0.918014 | + | 0.396549i | \(0.129792\pi\) | |||||||
\(884\) | −0.156691 | + | 0.186737i | −0.00527009 | + | 0.00628065i | ||||
\(885\) | −28.4766 | − | 8.87955i | −0.957230 | − | 0.298483i | ||||
\(886\) | 2.76077 | + | 15.6571i | 0.0927497 | + | 0.526010i | ||||
\(887\) | 23.8414 | − | 20.0053i | 0.800515 | − | 0.671712i | −0.147809 | − | 0.989016i | \(-0.547222\pi\) |
0.948324 | + | 0.317304i | \(0.102778\pi\) | |||||||
\(888\) | −22.5789 | + | 29.6192i | −0.757697 | + | 0.993954i | ||||
\(889\) | 1.93408 | + | 7.87888i | 0.0648669 | + | 0.264249i | ||||
\(890\) | 35.3189i | 1.18389i | ||||||||
\(891\) | 5.82763 | − | 2.20511i | 0.195233 | − | 0.0738739i | ||||
\(892\) | 0.853224i | 0.0285681i | ||||||||
\(893\) | 1.56319 | + | 4.29483i | 0.0523102 | + | 0.143721i | ||||
\(894\) | 5.82133 | + | 4.43764i | 0.194695 | + | 0.148417i | ||||
\(895\) | −25.1326 | − | 29.9518i | −0.840090 | − | 1.00118i | ||||
\(896\) | 1.81817 | + | 27.4313i | 0.0607407 | + | 0.916416i | ||||
\(897\) | −6.13741 | − | 1.91376i | −0.204922 | − | 0.0638987i | ||||
\(898\) | 31.5055 | + | 26.4363i | 1.05135 | + | 0.882190i | ||||
\(899\) | −25.8759 | + | 44.8183i | −0.863008 | + | 1.49477i | ||||
\(900\) | −0.578618 | − | 0.151117i | −0.0192873 | − | 0.00503725i | ||||
\(901\) | −43.4053 | + | 25.0601i | −1.44604 | + | 0.834872i | ||||
\(902\) | −0.573602 | + | 3.25306i | −0.0190989 | + | 0.108315i | ||||
\(903\) | 2.94414 | − | 47.7745i | 0.0979747 | − | 1.58984i | ||||
\(904\) | −8.26123 | − | 3.00684i | −0.274765 | − | 0.100006i | ||||
\(905\) | −8.05304 | + | 22.1255i | −0.267692 | + | 0.735478i | ||||
\(906\) | −46.3948 | − | 23.9651i | −1.54136 | − | 0.796186i | ||||
\(907\) | 2.17702 | − | 12.3465i | 0.0722867 | − | 0.409958i | −0.927096 | − | 0.374824i | \(-0.877703\pi\) |
0.999383 | − | 0.0351341i | \(-0.0111858\pi\) | |||||||
\(908\) | 0.971634 | + | 1.68292i | 0.0322448 | + | 0.0558496i | ||||
\(909\) | 14.1328 | − | 30.8161i | 0.468755 | − | 1.02211i | ||||
\(910\) | −3.90872 | − | 2.86158i | −0.129573 | − | 0.0948606i | ||||
\(911\) | 13.6756 | − | 16.2979i | 0.453093 | − | 0.539975i | −0.490343 | − | 0.871529i | \(-0.663129\pi\) |
0.943436 | + | 0.331554i | \(0.107573\pi\) | |||||||
\(912\) | 7.64888 | − | 1.72116i | 0.253280 | − | 0.0569932i | ||||
\(913\) | 9.35765 | − | 1.65001i | 0.309693 | − | 0.0546072i | ||||
\(914\) | 8.87939 | + | 10.5820i | 0.293704 | + | 0.350023i | ||||
\(915\) | 6.48826 | + | 15.5247i | 0.214495 | + | 0.513232i | ||||
\(916\) | 0.839209 | + | 2.30571i | 0.0277283 | + | 0.0761827i | ||||
\(917\) | −1.46032 | + | 13.4251i | −0.0482239 | + | 0.443336i | ||||
\(918\) | 16.3234 | + | 30.6423i | 0.538751 | + | 1.01135i | ||||
\(919\) | 26.7699 | 0.883059 | 0.441530 | − | 0.897247i | \(-0.354436\pi\) | ||||
0.441530 | + | 0.897247i | \(0.354436\pi\) | |||||||
\(920\) | 53.1398 | − | 19.3413i | 1.75197 | − | 0.637664i | ||||
\(921\) | −2.07077 | − | 0.265951i | −0.0682341 | − | 0.00876337i | ||||
\(922\) | −13.0296 | − | 15.5280i | −0.429105 | − | 0.511388i | ||||
\(923\) | 0.0288722 | + | 0.163742i | 0.000950340 | + | 0.00538965i | ||||
\(924\) | 0.255372 | − | 0.188783i | 0.00840112 | − | 0.00621051i | ||||
\(925\) | 11.3321 | + | 9.50876i | 0.372597 | + | 0.312646i | ||||
\(926\) | 33.0602 | + | 19.0873i | 1.08643 | + | 0.627249i | ||||
\(927\) | 23.6352 | + | 49.8587i | 0.776282 | + | 1.63757i | ||||
\(928\) | −1.81780 | − | 3.14853i | −0.0596723 | − | 0.103355i | ||||
\(929\) | −6.04033 | + | 34.2564i | −0.198177 | + | 1.12392i | 0.709645 | + | 0.704560i | \(0.248855\pi\) |
−0.907821 | + | 0.419357i | \(0.862256\pi\) | |||||||
\(930\) | −27.4484 | − | 42.7856i | −0.900067 | − | 1.40299i | ||||
\(931\) | 4.48189 | − | 7.05800i | 0.146888 | − | 0.231317i | ||||
\(932\) | 0.118181 | − | 0.324699i | 0.00387114 | − | 0.0106359i | ||||
\(933\) | 14.9024 | + | 23.2293i | 0.487882 | + | 0.760494i | ||||
\(934\) | −3.38274 | − | 0.596468i | −0.110687 | − | 0.0195170i | ||||
\(935\) | 7.68492 | − | 4.43689i | 0.251324 | − | 0.145102i | ||||
\(936\) | −3.58950 | − | 2.47965i | −0.117326 | − | 0.0810498i | ||||
\(937\) | 19.9911 | + | 11.5419i | 0.653080 | + | 0.377056i | 0.789635 | − | 0.613576i | \(-0.210270\pi\) |
−0.136555 | + | 0.990632i | \(0.543603\pi\) | |||||||
\(938\) | −8.70176 | − | 9.07663i | −0.284122 | − | 0.296362i | ||||
\(939\) | 37.7491 | + | 40.9348i | 1.23190 | + | 1.33586i | ||||
\(940\) | 0.175871 | + | 0.997416i | 0.00573629 | + | 0.0325321i | ||||
\(941\) | −1.99581 | + | 1.67468i | −0.0650614 | + | 0.0545930i | −0.674738 | − | 0.738057i | \(-0.735744\pi\) |
0.609677 | + | 0.792650i | \(0.291299\pi\) | |||||||
\(942\) | 2.12127 | − | 16.5168i | 0.0691146 | − | 0.538146i | ||||
\(943\) | 8.74712 | + | 24.0325i | 0.284846 | + | 0.782607i | ||||
\(944\) | 24.6835 | 0.803380 | ||||||||
\(945\) | 30.8821 | − | 19.1750i | 1.00459 | − | 0.623763i | ||||
\(946\) | 9.96740 | 0.324068 | ||||||||
\(947\) | −4.82731 | − | 13.2629i | −0.156866 | − | 0.430987i | 0.836217 | − | 0.548399i | \(-0.184762\pi\) |
−0.993083 | + | 0.117412i | \(0.962540\pi\) | |||||||
\(948\) | −1.65395 | + | 0.691236i | −0.0537178 | + | 0.0224503i | ||||
\(949\) | 1.39500 | − | 1.17054i | 0.0452835 | − | 0.0379973i | ||||
\(950\) | −0.569316 | − | 3.22875i | −0.0184710 | − | 0.104755i | ||||
\(951\) | 33.3583 | − | 7.50632i | 1.08172 | − | 0.243409i | ||||
\(952\) | 25.6925 | + | 26.7993i | 0.832698 | + | 0.868570i | ||||
\(953\) | −20.2507 | − | 11.6917i | −0.655984 | − | 0.378733i | 0.134761 | − | 0.990878i | \(-0.456973\pi\) |
−0.790745 | + | 0.612145i | \(0.790307\pi\) | |||||||
\(954\) | −24.7443 | − | 34.8663i | −0.801127 | − | 1.12884i | ||||
\(955\) | 34.4366 | − | 19.8820i | 1.11434 | − | 0.643366i | ||||
\(956\) | 0.998853 | + | 0.176125i | 0.0323052 | + | 0.00569628i | ||||
\(957\) | 3.53677 | − | 6.84694i | 0.114327 | − | 0.221330i | ||||
\(958\) | −1.92509 | + | 5.28915i | −0.0621970 | + | 0.170885i | ||||
\(959\) | −9.36430 | − | 4.60942i | −0.302389 | − | 0.148846i | ||||
\(960\) | 38.2419 | − | 1.79107i | 1.23425 | − | 0.0578067i | ||||
\(961\) | −5.87711 | + | 33.3307i | −0.189584 | + | 1.07518i | ||||
\(962\) | 2.57189 | + | 4.45464i | 0.0829210 | + | 0.143623i | ||||
\(963\) | −29.9841 | + | 8.23817i | −0.966223 | + | 0.265471i | ||||
\(964\) | 0.510234 | + | 0.294584i | 0.0164335 | + | 0.00948791i | ||||
\(965\) | −16.2614 | − | 13.6449i | −0.523473 | − | 0.439246i | ||||
\(966\) | −18.6286 | + | 42.7889i | −0.599366 | + | 1.37671i | ||||
\(967\) | 5.97974 | + | 33.9128i | 0.192295 | + | 1.09056i | 0.916218 | + | 0.400680i | \(0.131226\pi\) |
−0.723923 | + | 0.689881i | \(0.757663\pi\) | |||||||
\(968\) | −19.5757 | − | 23.3294i | −0.629187 | − | 0.749835i | ||||
\(969\) | 6.07961 | − | 7.97529i | 0.195305 | − | 0.256203i | ||||
\(970\) | −11.1065 | + | 4.04245i | −0.356610 | + | 0.129795i | ||||
\(971\) | −29.1736 | −0.936225 | −0.468113 | − | 0.883669i | \(-0.655066\pi\) | ||||
−0.468113 | + | 0.883669i | \(0.655066\pi\) | |||||||
\(972\) | 1.30257 | − | 0.859137i | 0.0417801 | − | 0.0275568i | ||||
\(973\) | −28.0641 | − | 3.05267i | −0.899693 | − | 0.0978642i | ||||
\(974\) | −12.8069 | − | 35.1868i | −0.410361 | − | 1.12746i | ||||
\(975\) | −1.05052 | + | 1.37809i | −0.0336437 | + | 0.0441341i | ||||
\(976\) | −8.94992 | − | 10.6661i | −0.286480 | − | 0.341413i | ||||
\(977\) | 30.5820 | − | 5.39243i | 0.978405 | − | 0.172519i | 0.338494 | − | 0.940968i | \(-0.390082\pi\) |
0.639911 | + | 0.768449i | \(0.278971\pi\) | |||||||
\(978\) | 11.3610 | − | 36.4347i | 0.363286 | − | 1.16505i | ||||
\(979\) | −4.31253 | + | 5.13947i | −0.137829 | + | 0.164258i | ||||
\(980\) | 1.24968 | − | 1.36781i | 0.0399195 | − | 0.0436931i | ||||
\(981\) | 9.89881 | + | 36.0282i | 0.316045 | + | 1.15029i | ||||
\(982\) | −4.75853 | − | 8.24202i | −0.151851 | − | 0.263013i | ||||
\(983\) | 9.67981 | − | 54.8970i | 0.308738 | − | 1.75094i | −0.296627 | − | 0.954993i | \(-0.595862\pi\) |
0.605366 | − | 0.795948i | \(-0.293027\pi\) | |||||||
\(984\) | 0.811957 | + | 17.3364i | 0.0258842 | + | 0.552664i | ||||
\(985\) | −1.01405 | + | 2.78608i | −0.0323104 | + | 0.0887720i | ||||
\(986\) | 40.3512 | + | 14.6866i | 1.28504 | + | 0.467718i | ||||
\(987\) | −14.6182 | − | 9.68529i | −0.465303 | − | 0.308286i | ||||
\(988\) | −0.0104298 | + | 0.0591506i | −0.000331818 | + | 0.00188183i | ||||
\(989\) | 66.8322 | − | 38.5856i | 2.12514 | − | 1.22695i | ||||
\(990\) | 4.38098 | + | 6.17308i | 0.139237 | + | 0.196193i | ||||
\(991\) | 12.2215 | − | 21.1683i | 0.388229 | − | 0.672432i | −0.603983 | − | 0.796998i | \(-0.706420\pi\) |
0.992211 | + | 0.124565i | \(0.0397537\pi\) | |||||||
\(992\) | −3.48965 | − | 2.92816i | −0.110796 | − | 0.0929693i | ||||
\(993\) | 8.17331 | + | 36.3225i | 0.259372 | + | 1.15266i | ||||
\(994\) | 1.20432 | − | 0.0798235i | 0.0381989 | − | 0.00253185i | ||||
\(995\) | −38.3803 | − | 45.7398i | −1.21674 | − | 1.45005i | ||||
\(996\) | 2.19554 | − | 0.917584i | 0.0695685 | − | 0.0290748i | ||||
\(997\) | 3.82620 | + | 10.5124i | 0.121177 | + | 0.332931i | 0.985419 | − | 0.170145i | \(-0.0544237\pi\) |
−0.864242 | + | 0.503076i | \(0.832201\pi\) | |||||||
\(998\) | 6.85758i | 0.217073i | ||||||||
\(999\) | −38.2186 | + | 5.40158i | −1.20918 | + | 0.170898i |
(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 | 189.2.be.a.20.15 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.be.a.62.7 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.20.16 | yes | 132 | |
21.20 | even | 2 | 567.2.be.a.62.8 | 132 | |||
27.4 | even | 9 | 567.2.be.a.503.8 | 132 | |||
27.23 | odd | 18 | inner | 189.2.be.a.104.16 | yes | 132 | |
189.104 | even | 18 | inner | 189.2.be.a.104.15 | yes | 132 | |
189.139 | odd | 18 | 567.2.be.a.503.7 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.15 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.be.a.20.16 | yes | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.104.15 | yes | 132 | 189.104 | even | 18 | inner | |
189.2.be.a.104.16 | yes | 132 | 27.23 | odd | 18 | inner | |
567.2.be.a.62.7 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.62.8 | 132 | 21.20 | even | 2 | |||
567.2.be.a.503.7 | 132 | 189.139 | odd | 18 | |||
567.2.be.a.503.8 | 132 | 27.4 | even | 9 |