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 | 20.16 | ||
Character | \(\chi\) | \(=\) | 189.20 |
Dual form | 189.2.be.a.104.16 |
$q$-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 | \(-0.854192\pi\) |
0.691570 | − | 0.722310i | \(-0.256919\pi\) | |||||||
\(6\) | −0.710690 | + | 2.27917i | −0.290138 | + | 0.930468i | ||||
\(7\) | −1.47152 | + | 2.19878i | −0.556180 | + | 0.831062i | ||||
\(8\) | 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 | −0.913582 | − | 0.406655i | \(-0.866695\pi\) |
0.961237 | + | 0.275724i | \(0.0889174\pi\) | |||||||
\(14\) | −3.54167 | − | 0.869398i | −0.946552 | − | 0.232356i | ||||
\(15\) | 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 | \(-0.966643\pi\) |
0.406668 | − | 0.913576i | \(-0.366691\pi\) | |||||||
\(18\) | −3.37219 | + | 2.39321i | −0.794832 | + | 0.564086i | ||||
\(19\) | −1.03438 | − | 0.597199i | −0.237303 | − | 0.137007i | 0.376634 | − | 0.926362i | \(-0.377082\pi\) |
−0.613936 | + | 0.789355i | \(0.710415\pi\) | |||||||
\(20\) | −0.202753 | − | 0.170130i | −0.0453370 | − | 0.0380422i | ||||
\(21\) | −4.33578 | + | 1.48358i | −0.946145 | + | 0.323743i | ||||
\(22\) | −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 | \(0.0350833\pi\) |
−0.0642712 | + | 0.997932i | \(0.520472\pi\) | |||||||
\(32\) | 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 | ||||
\(35\) | 6.40120 | + | 2.82220i | 1.08200 | + | 0.477039i | ||||
\(36\) | 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 | 0.583288 | − | 0.812265i | \(-0.301766\pi\) |
−0.0752897 | + | 0.997162i | \(0.523988\pi\) | |||||||
\(42\) | −3.96561 | − | 4.91649i | −0.611907 | − | 0.758630i | ||||
\(43\) | −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 | 0.403458 | − | 0.914998i | \(-0.367808\pi\) |
−0.831037 | + | 0.556217i | \(0.812252\pi\) | |||||||
\(48\) | −4.82549 | + | 4.44995i | −0.696499 | + | 0.642295i | ||||
\(49\) | −2.66929 | − | 6.47108i | −0.381327 | − | 0.924440i | ||||
\(50\) | −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 | ||||||||
\(56\) | −6.87135 | + | 3.38231i | −0.918223 | + | 0.451980i | ||||
\(57\) | −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 | \(0.0838088\pi\) |
−0.818294 | + | 0.574799i | \(0.805080\pi\) | |||||||
\(60\) | −0.100640 | − | 0.447248i | −0.0129926 | − | 0.0577395i | ||||
\(61\) | 2.36159 | − | 2.81444i | 0.302371 | − | 0.360352i | −0.593369 | − | 0.804931i | \(-0.702202\pi\) |
0.895739 | + | 0.444579i | \(0.146647\pi\) | |||||||
\(62\) | −5.54975 | + | 9.61245i | −0.704819 | + | 1.22078i | ||||
\(63\) | −7.53020 | − | 2.50920i | −0.948716 | − | 0.316130i | ||||
\(64\) | 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 | ||||
\(70\) | −0.637725 | + | 9.62158i | −0.0762227 | + | 1.15000i | ||||
\(71\) | 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 | 0.672329 | − | 0.740252i | \(-0.265294\pi\) |
−0.304912 | + | 0.952380i | \(0.598627\pi\) | |||||||
\(74\) | 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 | ||||
\(77\) | 1.26762 | − | 1.32223i | 0.144459 | − | 0.150682i | ||||
\(78\) | 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 | 0.482866 | − | 0.875694i | \(-0.339596\pi\) |
0.932782 | + | 0.360440i | \(0.117373\pi\) | |||||||
\(84\) | −0.237012 | + | 0.392736i | −0.0258601 | + | 0.0428510i | ||||
\(85\) | −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 | \(0.338358\pi\) |
−0.999875 | + | 0.0157861i | \(0.994975\pi\) | |||||||
\(90\) | 7.78018 | + | 7.68221i | 0.820103 | + | 0.809776i | ||||
\(91\) | 0.785159 | + | 1.07247i | 0.0823070 | + | 0.112426i | ||||
\(92\) | −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 | 0.00914255 | − | 0.999958i | \(-0.497090\pi\) |
−0.333415 | + | 0.942780i | \(0.608201\pi\) | |||||||
\(98\) | 7.12324 | − | 6.50804i | 0.719556 | − | 0.657411i | ||||
\(99\) | −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 | 0.962268 | − | 0.272104i | \(-0.0877193\pi\) |
−0.100874 | + | 0.994899i | \(0.532164\pi\) | |||||||
\(102\) | 11.2906 | − | 2.54063i | 1.11794 | − | 0.251560i | ||||
\(103\) | −18.1129 | + | 3.19380i | −1.78472 | + | 0.314694i | −0.965815 | − | 0.259233i | \(-0.916530\pi\) |
−0.818906 | + | 0.573928i | \(0.805419\pi\) | |||||||
\(104\) | 1.11401 | − | 0.934763i | 0.109237 | − | 0.0916610i | ||||
\(105\) | 5.85395 | + | 10.6090i | 0.571287 | + | 1.03534i | ||||
\(106\) | −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 | ||||
\(112\) | −7.23792 | − | 6.93899i | −0.683919 | − | 0.655673i | ||||
\(113\) | −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 | ||||
\(119\) | 12.7972 | + | 0.848208i | 1.17312 | + | 0.0777551i | ||||
\(120\) | 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 | ||||
\(126\) | −0.299935 | − | 10.9364i | −0.0267203 | − | 0.974288i | ||||
\(127\) | −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 | −0.455796 | − | 0.890084i | \(-0.650645\pi\) |
0.797414 | + | 0.603433i | \(0.206201\pi\) | |||||||
\(132\) | −0.119054 | − | 0.0152902i | −0.0103623 | − | 0.00133084i | ||||
\(133\) | 2.83521 | − | 1.39559i | 0.245844 | − | 0.121013i | ||||
\(134\) | − | 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 | 0.973993 | − | 0.226580i | \(-0.0727544\pi\) |
−0.392270 | + | 0.919850i | \(0.628310\pi\) | |||||||
\(140\) | 0.672433 | − | 0.195461i | 0.0568310 | − | 0.0165195i | ||||
\(141\) | −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 | ||||
\(147\) | 3.11810 | − | 11.7165i | 0.257177 | − | 0.966364i | ||||
\(148\) | −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 | ||||
\(154\) | 2.31020 | + | 1.01854i | 0.186161 | + | 0.0820761i | ||||
\(155\) | 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 | −0.440895 | − | 0.897558i | \(-0.645339\pi\) |
−0.107323 | + | 0.994224i | \(0.534228\pi\) | |||||||
\(158\) | 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 | \(-0.873159\pi\) |
0.733358 | − | 0.679843i | \(-0.237952\pi\) | |||||||
\(168\) | −13.0166 | − | 2.55624i | −1.00425 | − | 0.197219i | ||||
\(169\) | 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 | \(0.220196\pi\) |
−0.941850 | + | 0.336033i | \(0.890915\pi\) | |||||||
\(174\) | 15.3263 | − | 0.717814i | 1.16188 | − | 0.0544173i | ||||
\(175\) | 1.25609 | − | 5.11696i | 0.0949517 | − | 0.386806i | ||||
\(176\) | 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 | 0.185219 | − | 0.982697i | \(-0.440701\pi\) |
−0.758431 | + | 0.651753i | \(0.774034\pi\) | |||||||
\(182\) | −1.01896 | + | 1.52257i | −0.0755306 | + | 0.112860i | ||||
\(183\) | 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 | ||||||||
\(189\) | −7.73778 | − | 11.3634i | −0.562841 | − | 0.826565i | ||||
\(190\) | −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 | ||||
\(196\) | −0.621047 | − | 0.324456i | −0.0443605 | − | 0.0231755i | ||||
\(197\) | 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 | 0.393415 | − | 0.919361i | \(-0.371293\pi\) |
0.992898 | + | 0.118973i | \(0.0379601\pi\) | |||||||
\(200\) | −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 | ||||
\(203\) | 16.5132 | + | 4.05359i | 1.15900 | + | 0.284506i | ||||
\(204\) | −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 | ||||
\(210\) | −10.9815 | + | 12.5837i | −0.757799 | + | 0.868359i | ||||
\(211\) | 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 | −0.550734 | − | 0.834681i | \(-0.685652\pi\) |
0.917634 | + | 0.397426i | \(0.130096\pi\) | |||||||
\(224\) | −0.603802 | + | 1.36952i | −0.0403432 | + | 0.0915047i | ||||
\(225\) | −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 | \(-0.721611\pi\) |
0.865063 | − | 0.501662i | \(-0.167278\pi\) | |||||||
\(228\) | −0.183985 | − | 0.0950368i | −0.0121847 | − | 0.00629397i | ||||
\(229\) | 8.38379 | − | 23.0343i | 0.554016 | − | 1.52215i | −0.274163 | − | 0.961683i | \(-0.588401\pi\) |
0.828179 | − | 0.560464i | \(-0.189377\pi\) | |||||||
\(230\) | −25.3035 | − | 9.20971i | −1.66846 | − | 0.607270i | ||||
\(231\) | 3.13450 | − | 0.490258i | 0.206235 | − | 0.0322566i | ||||
\(232\) | 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 | ||||
\(238\) | 4.93435 | + | 16.9754i | 0.319847 | + | 1.10035i | ||||
\(239\) | 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 | 0.857816 | − | 0.513956i | \(-0.171821\pi\) |
−0.987490 | + | 0.157680i | \(0.949598\pi\) | |||||||
\(242\) | − | 14.5014i | − | 0.932185i | ||||||
\(243\) | −15.4854 | − | 1.78965i | −0.993388 | − | 0.114806i | ||||
\(244\) | − | 0.367762i | − | 0.0235436i | ||||||
\(245\) | −15.6249 | + | 9.92192i | −0.998236 | + | 0.633888i | ||||
\(246\) | −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 | \(0.431848\pi\) |
−0.952488 | + | 0.304575i | \(0.901486\pi\) | |||||||
\(252\) | −0.738866 | + | 0.292105i | −0.0465442 | + | 0.0184009i | ||||
\(253\) | 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 | −0.0369120 | − | 0.999319i | \(-0.511752\pi\) |
−0.670626 | + | 0.741796i | \(0.733974\pi\) | |||||||
\(258\) | −22.1553 | − | 11.4443i | −1.37933 | − | 0.712489i | ||||
\(259\) | 19.6103 | + | 1.29979i | 1.21853 | + | 0.0807648i | ||||
\(260\) | −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 | ||||
\(266\) | 3.14423 | + | 3.01437i | 0.192785 | + | 0.184823i | ||||
\(267\) | −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 | \(-0.689107\pi\) | ||||
−0.559762 | + | 0.828653i | \(0.689107\pi\) | |||||||
\(270\) | 2.65022 | + | 18.7515i | 0.161287 | + | 1.14118i | ||||
\(271\) | 7.98514i | 0.485063i | 0.970144 | + | 0.242531i | \(0.0779777\pi\) | ||||
−0.970144 | + | 0.242531i | \(0.922022\pi\) | |||||||
\(272\) | 17.2631 | − | 6.28325i | 1.04673 | − | 0.380978i | ||||
\(273\) | −0.0446194 | + | 2.30174i | −0.00270049 | + | 0.139308i | ||||
\(274\) | 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 | ||||
\(280\) | 11.9624 | + | 16.3398i | 0.714889 | + | 0.976488i | ||||
\(281\) | 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 | −0.923778 | − | 0.382927i | \(-0.874916\pi\) |
0.953796 | + | 0.300454i | \(0.0971382\pi\) | |||||||
\(284\) | 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 | ||||
\(287\) | −7.38968 | + | 5.41000i | −0.436199 | + | 0.319342i | ||||
\(288\) | 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 | −0.601748 | − | 0.798686i | \(-0.705529\pi\) |
0.682060 | + | 0.731296i | \(0.261084\pi\) | |||||||
\(294\) | 16.6457 | − | 1.48483i | 0.970799 | − | 0.0865971i | ||||
\(295\) | 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 | ||||
\(301\) | −19.9485 | − | 19.1246i | −1.14981 | − | 1.10232i | ||||
\(302\) | 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 | −0.529493 | − | 0.848314i | \(-0.677618\pi\) |
0.469915 | + | 0.882712i | \(0.344284\pi\) | |||||||
\(308\) | 0.0121261 | − | 0.182951i | 0.000690948 | − | 0.0104246i | ||||
\(309\) | −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 | 0.729652 | − | 0.683819i | \(-0.239682\pi\) |
0.119396 | + | 0.992847i | \(0.461904\pi\) | |||||||
\(312\) | 2.51605 | − | 0.117840i | 0.142443 | − | 0.00667139i | ||||
\(313\) | 31.6605 | + | 5.58260i | 1.78956 | + | 0.315547i | 0.967312 | − | 0.253588i | \(-0.0816108\pi\) |
0.822244 | + | 0.569135i | \(0.192722\pi\) | |||||||
\(314\) | −4.80715 | − | 8.32623i | −0.271283 | − | 0.469876i | ||||
\(315\) | −3.07639 | + | 20.7605i | −0.173335 | + | 1.16972i | ||||
\(316\) | 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 | ||||
\(322\) | 11.8992 | + | 24.1740i | 0.663118 | + | 1.34716i | ||||
\(323\) | 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 | ||||
\(329\) | 9.72180 | − | 2.82591i | 0.535980 | − | 0.155797i | ||||
\(330\) | −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 | ||||
\(336\) | −2.68369 | − | 17.1584i | −0.146407 | − | 0.936065i | ||||
\(337\) | 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 | ||||
\(343\) | 18.1564 | + | 3.65311i | 0.980353 | + | 0.197250i | ||||
\(344\) | −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 | \(-0.795624\pi\) |
0.228560 | − | 0.973530i | \(-0.426598\pi\) | |||||||
\(350\) | 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 | −0.555810 | − | 0.831309i | \(-0.687592\pi\) |
0.108580 | + | 0.994088i | \(0.465370\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | 16.7370 | + | 14.6061i | 0.885817 | + | 0.773034i | ||||
\(358\) | −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 | ||||
\(364\) | 0.129212 | + | 0.0317184i | 0.00677253 | + | 0.00166250i | ||||
\(365\) | 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 | −0.285849 | − | 0.958275i | \(-0.592276\pi\) |
−0.596360 | + | 0.802717i | \(0.703387\pi\) | |||||||
\(368\) | 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 | ||||
\(371\) | −22.7340 | − | 15.2145i | −1.18029 | − | 0.789899i | ||||
\(372\) | 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 | ||||||||
\(378\) | 11.0705 | − | 15.3794i | 0.569407 | − | 0.791029i | ||||
\(379\) | −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 | \(-0.879094\pi\) |
0.745904 | − | 0.666053i | \(-0.232018\pi\) | |||||||
\(384\) | −17.5584 | + | 3.95100i | −0.896022 | + | 0.201623i | ||||
\(385\) | −4.02506 | − | 2.69374i | −0.205136 | − | 0.137285i | ||||
\(386\) | −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 | ||||
\(392\) | 2.67434 | − | 20.0857i | 0.135075 | − | 1.01448i | ||||
\(393\) | 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 | 0.281522 | − | 0.959555i | \(-0.409161\pi\) |
−0.690238 | + | 0.723583i | \(0.742494\pi\) | |||||||
\(398\) | 23.8439 | + | 20.0074i | 1.19518 | + | 1.00288i | ||||
\(399\) | 5.37083 | + | 1.05474i | 0.268878 | + | 0.0528031i | ||||
\(400\) | −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 | 0.555853 | − | 0.831281i | \(-0.312392\pi\) |
−0.915175 | + | 0.403058i | \(0.867947\pi\) | |||||||
\(410\) | 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 | ||||
\(413\) | −15.7678 | − | 6.95181i | −0.775881 | − | 0.342076i | ||||
\(414\) | 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 | 0.289961 | − | 0.957038i | \(-0.406358\pi\) |
−0.393049 | + | 0.919518i | \(0.628580\pi\) | |||||||
\(420\) | 1.13149 | + | 0.436847i | 0.0552113 | + | 0.0213159i | ||||
\(421\) | −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 | ||||
\(427\) | 2.71321 | + | 9.33411i | 0.131302 | + | 0.451709i | ||||
\(428\) | 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 | \(-0.844163\pi\) | ||
0.882532 | − | 0.470253i | \(-0.155837\pi\) | |||||||
\(434\) | −12.9691 | − | 26.3476i | −0.622539 | − | 1.26472i | ||||
\(435\) | −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 | −0.754249 | − | 0.656589i | \(-0.771999\pi\) |
0.777588 | + | 0.628774i | \(0.216443\pi\) | |||||||
\(440\) | −2.64951 | + | 4.58908i | −0.126310 | + | 0.218776i | ||||
\(441\) | 16.5980 | − | 12.8649i | 0.790381 | − | 0.612616i | ||||
\(442\) | −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 | ||||
\(448\) | −22.0682 | − | 1.46270i | −1.04263 | − | 0.0691060i | ||||
\(449\) | 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 | ||||
\(455\) | 2.43217 | − | 2.53695i | 0.114022 | − | 0.118934i | ||||
\(456\) | 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 | 0.000473303 | − | 1.00000i | \(-0.499849\pi\) |
0.643150 | + | 0.765740i | \(0.277627\pi\) | |||||||
\(462\) | 2.11270 | + | 3.82882i | 0.0982917 | + | 0.178133i | ||||
\(463\) | 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 | −0.835755 | − | 0.549102i | \(-0.814970\pi\) |
0.893414 | + | 0.449235i | \(0.148303\pi\) | |||||||
\(468\) | 0.123028 | − | 0.0873122i | 0.00568698 | − | 0.00403601i | ||||
\(469\) | 7.36065 | − | 5.38875i | 0.339883 | − | 0.248829i | ||||
\(470\) | −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 | ||||
\(476\) | 1.03587 | − | 0.758363i | 0.0474790 | − | 0.0347595i | ||||
\(477\) | −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 | 0.568520 | − | 0.822670i | \(-0.307516\pi\) |
−0.711449 | + | 0.702738i | \(0.751961\pi\) | |||||||
\(480\) | 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 | ||||
\(483\) | 28.9878 | + | 17.4939i | 1.31899 | + | 0.795998i | ||||
\(484\) | −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 | ||||
\(490\) | −20.2173 | − | 15.5605i | −0.913326 | − | 0.702952i | ||||
\(491\) | −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 | ||||
\(497\) | −0.0579116 | + | 0.873732i | −0.00259769 | + | 0.0391922i | ||||
\(498\) | 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 | 0.997437 | − | 0.0715548i | \(-0.0227961\pi\) |
−0.560687 | + | 0.828028i | \(0.689463\pi\) | |||||||
\(504\) | −15.2457 | − | 17.1892i | −0.679097 | − | 0.765667i | ||||
\(505\) | 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 | \(0.627452\pi\) |
−0.974600 | + | 0.223954i | \(0.928103\pi\) | |||||||
\(510\) | −11.7998 | − | 28.2339i | −0.522504 | − | 1.25022i | ||||
\(511\) | −8.60453 | + | 4.23543i | −0.380642 | + | 0.187365i | ||||
\(512\) | 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 | ||||
\(518\) | 7.56136 | + | 26.0129i | 0.332227 | + | 1.14294i | ||||
\(519\) | −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 | −0.574089 | − | 0.818793i | \(-0.694644\pi\) |
0.996140 | + | 0.0877789i | \(0.0279769\pi\) | |||||||
\(522\) | 21.8651 | + | 15.1046i | 0.957011 | + | 0.661109i | ||||
\(523\) | −27.2798 | + | 15.7500i | −1.19286 | + | 0.688700i | −0.958955 | − | 0.283559i | \(-0.908485\pi\) |
−0.233908 | + | 0.972259i | \(0.575152\pi\) | |||||||
\(524\) | 0.0887203 | − | 0.503158i | 0.00387577 | − | 0.0219806i | ||||
\(525\) | 7.10327 | − | 5.72946i | 0.310012 | − | 0.250054i | ||||
\(526\) | −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 | ||||
\(532\) | 0.127610 | − | 0.289439i | 0.00553258 | − | 0.0125488i | ||||
\(533\) | 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 | ||||
\(546\) | −3.00235 | + | 1.02732i | −0.128489 | + | 0.0439651i | ||||
\(547\) | 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 | ||||
\(553\) | −6.52142 | + | 26.5664i | −0.277319 | + | 1.12972i | ||||
\(554\) | −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 | ||||
\(560\) | −14.7456 | + | 22.0333i | −0.623115 | + | 0.931078i | ||||
\(561\) | −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 | −0.645439 | − | 0.763812i | \(-0.723326\pi\) |
0.640128 | + | 0.768268i | \(0.278881\pi\) | |||||||
\(564\) | −0.527619 | − | 0.402207i | −0.0222168 | − | 0.0169360i | ||||
\(565\) | 2.74656 | + | 7.54611i | 0.115549 | + | 0.317467i | ||||
\(566\) | 2.03510 | 0.0855416 | ||||||||
\(567\) | 1.27360 | − | 23.7777i | 0.0534863 | − | 0.998569i | ||||
\(568\) | 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 | ||||
\(574\) | −10.4910 | − | 7.02099i | −0.437885 | − | 0.293051i | ||||
\(575\) | 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 | 0.0112465 | − | 0.999937i | \(-0.496420\pi\) |
0.871594 | + | 0.490229i | \(0.163087\pi\) | |||||||
\(578\) | −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 | ||||
\(581\) | −8.65689 | + | 35.2656i | −0.359148 | + | 1.46307i | ||||
\(582\) | 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 | 0.973321 | − | 0.229446i | \(-0.0736915\pi\) |
−0.0569450 | + | 0.998377i | \(0.518136\pi\) | |||||||
\(588\) | −0.514774 | − | 1.09905i | −0.0212289 | − | 0.0453243i | ||||
\(589\) | −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 | \(-0.617758\pi\) | ||||
−0.361566 | + | 0.932346i | \(0.617758\pi\) | |||||||
\(594\) | 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 | −0.460924 | − | 0.887440i | \(-0.652482\pi\) |
0.953996 | + | 0.299819i | \(0.0969263\pi\) | |||||||
\(602\) | 15.3667 | − | 34.8540i | 0.626299 | − | 1.42054i | ||||
\(603\) | 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 | \(0.260465\pi\) |
−0.992792 | + | 0.119854i | \(0.961757\pi\) | |||||||
\(608\) | −0.634928 | − | 0.231095i | −0.0257497 | − | 0.00937214i | ||||
\(609\) | 18.4898 | + | 22.9233i | 0.749243 | + | 0.928897i | ||||
\(610\) | 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 | ||||
\(616\) | 5.09152 | − | 1.47999i | 0.205143 | − | 0.0596305i | ||||
\(617\) | −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 | 0.782918 | − | 0.622126i | \(-0.213731\pi\) |
−0.999644 | + | 0.0266739i | \(0.991508\pi\) | |||||||
\(620\) | − | 2.13133i | − | 0.0855964i | ||||||
\(621\) | 36.5026 | − | 11.8918i | 1.46480 | − | 0.477201i | ||||
\(622\) | 21.9630i | 0.880637i | ||||||||
\(623\) | −11.3231 | − | 23.0035i | −0.453650 | − | 0.921617i | ||||
\(624\) | 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 | ||||
\(630\) | −28.3402 | + | 5.80244i | −1.12910 | + | 0.231175i | ||||
\(631\) | 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 | ||||
\(637\) | −3.51350 | + | 0.148235i | −0.139210 | + | 0.00587330i | ||||
\(638\) | −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 | −0.0902720 | − | 0.995917i | \(-0.528774\pi\) |
0.255796 | + | 0.966731i | \(0.417663\pi\) | |||||||
\(644\) | 1.35412 | − | 1.41246i | 0.0533598 | − | 0.0556586i | ||||
\(645\) | 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 | \(-0.477166\pi\) | ||||
0.0716728 | + | 0.997428i | \(0.477166\pi\) | |||||||
\(648\) | −26.0503 | + | 0.330128i | −1.02335 | + | 0.0129687i | ||||
\(649\) | − | 4.50920i | − | 0.177002i | ||||||
\(650\) | −1.29583 | + | 0.471644i | −0.0508267 | + | 0.0184994i | ||||
\(651\) | −31.5943 | − | 19.0668i | −1.23828 | − | 0.747288i | ||||
\(652\) | 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 | ||||
\(658\) | 8.24338 | + | 11.2599i | 0.321361 | + | 0.438956i | ||||
\(659\) | −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 | \(-0.719424\pi\) |
0.983243 | − | 0.182299i | \(-0.0583538\pi\) | |||||||
\(662\) | 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 | ||||
\(665\) | −4.93584 | − | 6.74201i | −0.191404 | − | 0.261444i | ||||
\(666\) | 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 | ||||
\(672\) | −2.26977 | + | 1.25244i | −0.0875583 | + | 0.0483138i | ||||
\(673\) | 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 | −0.855761 | − | 0.517372i | \(-0.826911\pi\) |
−0.322991 | + | 0.946402i | \(0.604688\pi\) | |||||||
\(678\) | 0.923628 | − | 7.19163i | 0.0354717 | − | 0.276193i | ||||
\(679\) | 5.93781 | − | 6.19361i | 0.227872 | − | 0.237689i | ||||
\(680\) | −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 | ||||
\(686\) | 3.82780 | + | 25.2391i | 0.146146 | + | 0.963635i | ||||
\(687\) | 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 | 0.503489 | − | 0.864002i | \(-0.332050\pi\) |
0.177619 | + | 0.984099i | \(0.443161\pi\) | |||||||
\(692\) | 0.651029 | + | 1.12762i | 0.0247484 | + | 0.0428655i | ||||
\(693\) | 4.83245 | + | 2.61606i | 0.183569 | + | 0.0993759i | ||||
\(694\) | 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 | ||||
\(700\) | −0.232920 | − | 0.473190i | −0.00880355 | − | 0.0178849i | ||||
\(701\) | − | 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 | ||||
\(707\) | −28.7107 | + | 8.34556i | −1.07978 | + | 0.313867i | ||||
\(708\) | 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 | ||||
\(714\) | −11.0281 | + | 28.5642i | −0.412715 | + | 1.06899i | ||||
\(715\) | 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 | \(-0.970070\pi\) |
0.416480 | − | 0.909145i | \(-0.363263\pi\) | |||||||
\(720\) | 7.96447 | + | 28.9879i | 0.296818 | + | 1.08031i | ||||
\(721\) | 19.6310 | − | 44.5261i | 0.731096 | − | 1.65824i | ||||
\(722\) | 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 | 0.998102 | − | 0.0615888i | \(-0.0196168\pi\) |
−0.804179 | + | 0.594388i | \(0.797395\pi\) | |||||||
\(728\) | 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 | 0.718877 | − | 0.695137i | \(-0.244656\pi\) |
−0.809408 | + | 0.587246i | \(0.800212\pi\) | |||||||
\(734\) | −4.10761 | − | 23.2954i | −0.151615 | − | 0.859849i | ||||
\(735\) | −31.9411 | − | 2.73978i | −1.17817 | − | 0.101058i | ||||
\(736\) | −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 | ||||
\(742\) | 8.98903 | − | 36.6187i | 0.329998 | − | 1.34431i | ||||
\(743\) | −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 | ||||
\(749\) | −22.7905 | − | 15.2524i | −0.832748 | − | 0.557309i | ||||
\(750\) | 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 | ||||||||
\(756\) | −1.32448 | − | 0.373481i | −0.0481710 | − | 0.0135834i | ||||
\(757\) | 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 | 0.993960 | − | 0.109747i | \(-0.0350041\pi\) |
−0.971552 | + | 0.236825i | \(0.923893\pi\) | |||||||
\(762\) | −4.96281 | − | 5.38162i | −0.179783 | − | 0.194956i | ||||
\(763\) | −18.3269 | + | 27.3846i | −0.663478 | + | 0.991389i | ||||
\(764\) | −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 | −0.996964 | − | 0.0778641i | \(-0.975190\pi\) |
0.813769 | + | 0.581189i | \(0.197412\pi\) | |||||||
\(770\) | 1.59151 | − | 6.48334i | 0.0573540 | − | 0.233643i | ||||
\(771\) | −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 | \(0.134958\pi\) |
−0.0994515 | + | 0.995042i | \(0.531709\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | 25.6476 | + | 22.3822i | 0.920104 | + | 0.802956i | ||||
\(778\) | −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 | \(-0.937563\pi\) |
−0.0216158 | − | 0.999766i | \(-0.506881\pi\) | |||||||
\(788\) | 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 | ||||
\(791\) | 3.24159 | − | 7.35244i | 0.115258 | − | 0.261423i | ||||
\(792\) | 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 | 0.568474 | − | 0.822701i | \(-0.307534\pi\) |
−0.0933461 | + | 0.995634i | \(0.529756\pi\) | |||||||
\(798\) | 1.16582 | + | 7.45377i | 0.0412697 | + | 0.263860i | ||||
\(799\) | −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 | ||||
\(805\) | −14.4270 | − | 49.6323i | −0.508484 | − | 1.74931i | ||||
\(806\) | 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 | \(0.292161\pi\) | ||||
−0.607527 | + | 0.794299i | \(0.707839\pi\) | |||||||
\(812\) | 1.52705 | − | 0.751666i | 0.0535890 | − | 0.0263783i | ||||
\(813\) | −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 | ||||
\(819\) | −2.47840 | + | 3.12371i | −0.0866023 | + | 0.109151i | ||||
\(820\) | −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 | ||||
\(826\) | 1.57088 | − | 23.7004i | 0.0546578 | − | 0.824642i | ||||
\(827\) | −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 | 0.896441 | − | 0.443163i | \(-0.146144\pi\) |
0.0644299 | + | 0.997922i | \(0.479477\pi\) | |||||||
\(830\) | 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 | ||||
\(833\) | −20.6963 | + | 26.8901i | −0.717085 | + | 0.931688i | ||||
\(834\) | −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 | −0.592708 | − | 0.805418i | \(-0.701941\pi\) |
0.0636719 | + | 0.997971i | \(0.479719\pi\) | |||||||
\(840\) | −0.679805 | + | 35.0685i | −0.0234555 | + | 1.20998i | ||||
\(841\) | −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 | ||||
\(847\) | 22.4596 | − | 16.4427i | 0.771720 | − | 0.564978i | ||||
\(848\) | −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 | −0.472450 | − | 0.881357i | \(-0.656630\pi\) |
−0.745400 | + | 0.666618i | \(0.767741\pi\) | |||||||
\(854\) | −10.8109 | + | 7.91465i | −0.369940 | + | 0.270834i | ||||
\(855\) | −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 | 0.471677 | − | 0.881771i | \(-0.343649\pi\) |
−0.786469 | + | 0.617629i | \(0.788093\pi\) | |||||||
\(858\) | −0.562913 | − | 0.610418i | −0.0192175 | − | 0.0208393i | ||||
\(859\) | 40.7685 | − | 7.18859i | 1.39100 | − | 0.245272i | 0.572563 | − | 0.819861i | \(-0.305949\pi\) |
0.818442 | + | 0.574589i | \(0.194838\pi\) | |||||||
\(860\) | 2.11776 | − | 1.77701i | 0.0722151 | − | 0.0605957i | ||||
\(861\) | −15.8598 | − | 0.307442i | −0.540499 | − | 0.0104776i | ||||
\(862\) | 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 | ||||
\(868\) | −1.47588 | + | 1.53946i | −0.0500945 | + | 0.0522526i | ||||
\(869\) | −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 | ||||
\(875\) | 21.0009 | + | 1.39196i | 0.709961 | + | 0.0470567i | ||||
\(876\) | 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 | 0.991209 | − | 0.132302i | \(-0.0422369\pi\) |
−0.610182 | + | 0.792261i | \(0.708904\pi\) | |||||||
\(882\) | 24.4880 | + | 15.4335i | 0.824554 | + | 0.519674i | ||||
\(883\) | 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 | −0.948324 | − | 0.317304i | \(-0.897222\pi\) |
0.147809 | + | 0.989016i | \(0.452778\pi\) | |||||||
\(888\) | 22.5789 | − | 29.6192i | 0.757697 | − | 0.993954i | ||||
\(889\) | −3.58285 | − | 7.27877i | −0.120165 | − | 0.244122i | ||||
\(890\) | 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 | ||||
\(896\) | −7.67354 | − | 26.3988i | −0.256355 | − | 0.881924i | ||||
\(897\) | −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 | ||||
\(903\) | −7.39653 | − | 47.2902i | −0.246141 | − | 1.57372i | ||||
\(904\) | −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 | ||||
\(910\) | 4.43257 | + | 1.95426i | 0.146938 | + | 0.0647831i | ||||
\(911\) | 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 | ||||
\(924\) | 0.208810 | − | 0.239274i | 0.00686934 | − | 0.00787155i | ||||
\(925\) | 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 | \(-0.751145\pi\) |
0.907821 | − | 0.419357i | \(-0.137744\pi\) | |||||||
\(930\) | 27.4484 | + | 42.7856i | 0.900067 | + | 1.40299i | ||||
\(931\) | −1.10347 | + | 8.28764i | −0.0361647 | + | 0.271617i | ||||
\(932\) | 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 | 0.136555 | − | 0.990632i | \(-0.456397\pi\) |
−0.789635 | + | 0.613576i | \(0.789730\pi\) | |||||||
\(938\) | 10.4498 | + | 6.99342i | 0.341197 | + | 0.228343i | ||||
\(939\) | 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 | −0.609677 | − | 0.792650i | \(-0.708701\pi\) |
0.674738 | + | 0.738057i | \(0.264256\pi\) | |||||||
\(942\) | 2.12127 | − | 16.5168i | 0.0691146 | − | 0.538146i | ||||
\(943\) | −8.74712 | − | 24.0325i | −0.284846 | − | 0.782607i | ||||
\(944\) | −24.6835 | −0.803380 | ||||||||
\(945\) | −26.0371 | + | 25.3664i | −0.846986 | + | 0.825169i | ||||
\(946\) | 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 | ||||
\(952\) | 30.8536 | + | 20.6485i | 0.999971 | + | 0.669221i | ||||
\(953\) | −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 | ||||
\(959\) | 10.1363 | + | 2.48824i | 0.327320 | + | 0.0803493i | ||||
\(960\) | 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 | ||||
\(966\) | −8.99307 | + | 45.7934i | −0.289347 | + | 1.47338i | ||||
\(967\) | 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 | \(-0.344934\pi\) | ||||
0.468113 | + | 0.883669i | \(0.344934\pi\) | |||||||
\(972\) | −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 | ||||
\(980\) | −0.559719 | + | 1.76616i | −0.0178796 | + | 0.0564178i | ||||
\(981\) | 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 | \(0.404138\pi\) |
−0.605366 | + | 0.795948i | \(0.706973\pi\) | |||||||
\(984\) | 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 | ||||
\(987\) | 16.3587 | + | 6.31577i | 0.520705 | + | 0.201033i | ||||
\(988\) | −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 | ||||
\(994\) | −1.15900 | + | 0.336894i | −0.0367611 | + | 0.0106856i | ||||
\(995\) | −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 | 0.864242 | − | 0.503076i | \(-0.167799\pi\) |
−0.985419 | + | 0.170145i | \(0.945576\pi\) | |||||||
\(998\) | 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.20.16 | yes | 132 | |
3.2 | odd | 2 | 567.2.be.a.62.8 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.20.15 | ✓ | 132 | |
21.20 | even | 2 | 567.2.be.a.62.7 | 132 | |||
27.4 | even | 9 | 567.2.be.a.503.7 | 132 | |||
27.23 | odd | 18 | inner | 189.2.be.a.104.15 | yes | 132 | |
189.104 | even | 18 | inner | 189.2.be.a.104.16 | yes | 132 | |
189.139 | odd | 18 | 567.2.be.a.503.8 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.20.15 | ✓ | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.20.16 | yes | 132 | 1.1 | even | 1 | trivial | |
189.2.be.a.104.15 | yes | 132 | 27.23 | odd | 18 | inner | |
189.2.be.a.104.16 | yes | 132 | 189.104 | even | 18 | inner | |
567.2.be.a.62.7 | 132 | 21.20 | even | 2 | |||
567.2.be.a.62.8 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.503.7 | 132 | 27.4 | even | 9 | |||
567.2.be.a.503.8 | 132 | 189.139 | odd | 18 |