Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 131.4 | ||
Character | \(\chi\) | \(=\) | 144.131 |
Dual form | 144.2.u.a.11.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.19060 | + | 0.763199i | −0.841881 | + | 0.539664i | ||||
\(3\) | 0.0841095 | + | 1.73001i | 0.0485606 | + | 0.998820i | ||||
\(4\) | 0.835053 | − | 1.81733i | 0.417527 | − | 0.908665i | ||||
\(5\) | −1.17929 | + | 0.315990i | −0.527394 | + | 0.141315i | −0.512685 | − | 0.858577i | \(-0.671349\pi\) |
−0.0147097 | + | 0.999892i | \(0.504682\pi\) | |||||||
\(6\) | −1.42048 | − | 1.99555i | −0.579909 | − | 0.814681i | ||||
\(7\) | 1.93802 | + | 3.35676i | 0.732504 | + | 1.26873i | 0.955810 | + | 0.293986i | \(0.0949820\pi\) |
−0.223305 | + | 0.974749i | \(0.571685\pi\) | |||||||
\(8\) | 0.392771 | + | 2.80102i | 0.138866 | + | 0.990311i | ||||
\(9\) | −2.98585 | + | 0.291020i | −0.995284 | + | 0.0970067i | ||||
\(10\) | 1.16290 | − | 1.27625i | 0.367741 | − | 0.403586i | ||||
\(11\) | −2.53144 | − | 0.678298i | −0.763258 | − | 0.204514i | −0.143867 | − | 0.989597i | \(-0.545954\pi\) |
−0.619391 | + | 0.785083i | \(0.712620\pi\) | |||||||
\(12\) | 3.21423 | + | 1.29179i | 0.927868 | + | 0.372909i | ||||
\(13\) | −2.21768 | + | 0.594225i | −0.615074 | + | 0.164808i | −0.552887 | − | 0.833256i | \(-0.686474\pi\) |
−0.0621864 | + | 0.998065i | \(0.519807\pi\) | |||||||
\(14\) | −4.86928 | − | 2.51745i | −1.30137 | − | 0.672818i | ||||
\(15\) | −0.645854 | − | 2.01360i | −0.166759 | − | 0.519910i | ||||
\(16\) | −2.60537 | − | 3.03513i | −0.651343 | − | 0.758783i | ||||
\(17\) | 1.65347i | 0.401025i | 0.979691 | + | 0.200512i | \(0.0642607\pi\) | ||||
−0.979691 | + | 0.200512i | \(0.935739\pi\) | |||||||
\(18\) | 3.33285 | − | 2.62529i | 0.785559 | − | 0.618786i | ||||
\(19\) | 2.32189 | − | 2.32189i | 0.532679 | − | 0.532679i | −0.388690 | − | 0.921369i | \(-0.627072\pi\) |
0.921369 | + | 0.388690i | \(0.127072\pi\) | |||||||
\(20\) | −0.410512 | + | 2.40703i | −0.0917933 | + | 0.538227i | ||||
\(21\) | −5.64421 | + | 3.63513i | −1.23167 | + | 0.793251i | ||||
\(22\) | 3.53161 | − | 1.12441i | 0.752941 | − | 0.239726i | ||||
\(23\) | 6.27540 | + | 3.62310i | 1.30851 | + | 0.755469i | 0.981848 | − | 0.189672i | \(-0.0607424\pi\) |
0.326663 | + | 0.945141i | \(0.394076\pi\) | |||||||
\(24\) | −4.81276 | + | 0.915089i | −0.982400 | + | 0.186792i | ||||
\(25\) | −3.03925 | + | 1.75471i | −0.607850 | + | 0.350943i | ||||
\(26\) | 2.18686 | − | 2.40002i | 0.428878 | − | 0.470682i | ||||
\(27\) | −0.754605 | − | 5.14107i | −0.145224 | − | 0.989399i | ||||
\(28\) | 7.71869 | − | 0.718958i | 1.45869 | − | 0.135870i | ||||
\(29\) | 5.23808 | + | 1.40354i | 0.972686 | + | 0.260631i | 0.709962 | − | 0.704240i | \(-0.248712\pi\) |
0.262725 | + | 0.964871i | \(0.415379\pi\) | |||||||
\(30\) | 2.30573 | + | 1.90448i | 0.420967 | + | 0.347709i | ||||
\(31\) | 6.44476 | + | 3.72088i | 1.15751 | + | 0.668291i | 0.950707 | − | 0.310091i | \(-0.100360\pi\) |
0.206806 | + | 0.978382i | \(0.433693\pi\) | |||||||
\(32\) | 5.41837 | + | 1.62521i | 0.957841 | + | 0.287299i | ||||
\(33\) | 0.960542 | − | 4.43646i | 0.167209 | − | 0.772289i | ||||
\(34\) | −1.26193 | − | 1.96862i | −0.216418 | − | 0.337615i | ||||
\(35\) | −3.34619 | − | 3.34619i | −0.565610 | − | 0.565610i | ||||
\(36\) | −1.96447 | + | 5.66929i | −0.327411 | + | 0.944882i | ||||
\(37\) | 0.499924 | − | 0.499924i | 0.0821870 | − | 0.0821870i | −0.664818 | − | 0.747005i | \(-0.731491\pi\) |
0.747005 | + | 0.664818i | \(0.231491\pi\) | |||||||
\(38\) | −0.992377 | + | 4.53651i | −0.160985 | + | 0.735920i | ||||
\(39\) | −1.21454 | − | 3.78662i | −0.194482 | − | 0.606345i | ||||
\(40\) | −1.34829 | − | 3.17911i | −0.213183 | − | 0.502661i | ||||
\(41\) | 5.22021 | − | 9.04166i | 0.815259 | − | 1.41207i | −0.0938824 | − | 0.995583i | \(-0.529928\pi\) |
0.909142 | − | 0.416487i | \(-0.136739\pi\) | |||||||
\(42\) | 3.94566 | − | 8.63564i | 0.608828 | − | 1.33251i | ||||
\(43\) | 2.07069 | − | 7.72793i | 0.315778 | − | 1.17850i | −0.607485 | − | 0.794331i | \(-0.707822\pi\) |
0.923263 | − | 0.384168i | \(-0.125512\pi\) | |||||||
\(44\) | −3.34658 | + | 4.03405i | −0.504516 | + | 0.608156i | ||||
\(45\) | 3.42922 | − | 1.28670i | 0.511199 | − | 0.191809i | ||||
\(46\) | −10.2366 | + | 0.475717i | −1.50931 | + | 0.0701406i | ||||
\(47\) | 1.91487 | + | 3.31665i | 0.279312 | + | 0.483782i | 0.971214 | − | 0.238209i | \(-0.0765603\pi\) |
−0.691902 | + | 0.721991i | \(0.743227\pi\) | |||||||
\(48\) | 5.03167 | − | 4.76260i | 0.726259 | − | 0.687422i | ||||
\(49\) | −4.01188 | + | 6.94877i | −0.573125 | + | 0.992682i | ||||
\(50\) | 2.27934 | − | 4.40872i | 0.322347 | − | 0.623486i | ||||
\(51\) | −2.86051 | + | 0.139072i | −0.400552 | + | 0.0194740i | ||||
\(52\) | −0.771977 | + | 4.52646i | −0.107054 | + | 0.627708i | ||||
\(53\) | −4.69522 | − | 4.69522i | −0.644938 | − | 0.644938i | 0.306827 | − | 0.951765i | \(-0.400733\pi\) |
−0.951765 | + | 0.306827i | \(0.900733\pi\) | |||||||
\(54\) | 4.82209 | + | 5.54504i | 0.656204 | + | 0.754584i | ||||
\(55\) | 3.19964 | 0.431439 | ||||||||
\(56\) | −8.64115 | + | 6.74689i | −1.15472 | + | 0.901591i | ||||
\(57\) | 4.21219 | + | 3.82160i | 0.557918 | + | 0.506183i | ||||
\(58\) | −7.30763 | + | 2.32665i | −0.959539 | + | 0.305503i | ||||
\(59\) | 1.60258 | + | 5.98090i | 0.208638 | + | 0.778647i | 0.988310 | + | 0.152459i | \(0.0487192\pi\) |
−0.779672 | + | 0.626188i | \(0.784614\pi\) | |||||||
\(60\) | −4.19870 | − | 0.507736i | −0.542050 | − | 0.0655484i | ||||
\(61\) | −2.01670 | + | 7.52642i | −0.258212 | + | 0.963660i | 0.708064 | + | 0.706149i | \(0.249569\pi\) |
−0.966275 | + | 0.257511i | \(0.917098\pi\) | |||||||
\(62\) | −10.5129 | + | 0.488556i | −1.33514 | + | 0.0620466i | ||||
\(63\) | −6.76354 | − | 9.45877i | −0.852125 | − | 1.19169i | ||||
\(64\) | −7.69146 | + | 2.20032i | −0.961433 | + | 0.275040i | ||||
\(65\) | 2.42752 | − | 1.40153i | 0.301097 | − | 0.173838i | ||||
\(66\) | 2.24229 | + | 6.01513i | 0.276006 | + | 0.740412i | ||||
\(67\) | 3.58944 | + | 13.3960i | 0.438520 | + | 1.63658i | 0.732500 | + | 0.680767i | \(0.238353\pi\) |
−0.293980 | + | 0.955812i | \(0.594980\pi\) | |||||||
\(68\) | 3.00489 | + | 1.38073i | 0.364397 | + | 0.167438i | ||||
\(69\) | −5.74017 | + | 11.1612i | −0.691036 | + | 1.34365i | ||||
\(70\) | 6.53779 | + | 1.43016i | 0.781415 | + | 0.170937i | ||||
\(71\) | − | 10.9828i | − | 1.30341i | −0.758471 | − | 0.651706i | \(-0.774053\pi\) | ||
0.758471 | − | 0.651706i | \(-0.225947\pi\) | |||||||
\(72\) | −1.98791 | − | 8.24913i | −0.234277 | − | 0.972170i | ||||
\(73\) | − | 10.4967i | − | 1.22855i | −0.789092 | − | 0.614276i | \(-0.789448\pi\) | ||
0.789092 | − | 0.614276i | \(-0.210552\pi\) | |||||||
\(74\) | −0.213668 | + | 0.976751i | −0.0248383 | + | 0.113545i | ||||
\(75\) | −3.29130 | − | 5.11034i | −0.380046 | − | 0.590091i | ||||
\(76\) | −2.28074 | − | 6.15855i | −0.261619 | − | 0.706434i | ||||
\(77\) | −2.62911 | − | 9.81199i | −0.299615 | − | 1.11818i | ||||
\(78\) | 4.33598 | + | 3.58141i | 0.490953 | + | 0.405515i | ||||
\(79\) | −7.83718 | + | 4.52480i | −0.881751 | + | 0.509079i | −0.871235 | − | 0.490865i | \(-0.836681\pi\) |
−0.0105159 | + | 0.999945i | \(0.503347\pi\) | |||||||
\(80\) | 4.03156 | + | 2.75603i | 0.450742 | + | 0.308134i | ||||
\(81\) | 8.83061 | − | 1.73789i | 0.981179 | − | 0.193098i | ||||
\(82\) | 0.685418 | + | 14.7491i | 0.0756918 | + | 1.62876i | ||||
\(83\) | 0.746054 | − | 2.78431i | 0.0818900 | − | 0.305618i | −0.912817 | − | 0.408369i | \(-0.866098\pi\) |
0.994707 | + | 0.102751i | \(0.0327645\pi\) | |||||||
\(84\) | 1.89302 | + | 13.2929i | 0.206545 | + | 1.45038i | ||||
\(85\) | −0.522479 | − | 1.94992i | −0.0566708 | − | 0.211498i | ||||
\(86\) | 3.43259 | + | 10.7812i | 0.370146 | + | 1.16257i | ||||
\(87\) | −1.98756 | + | 9.17996i | −0.213089 | + | 0.984195i | ||||
\(88\) | 0.905651 | − | 7.35704i | 0.0965427 | − | 0.784263i | ||||
\(89\) | 4.91926 | 0.521441 | 0.260720 | − | 0.965414i | \(-0.416040\pi\) | ||||
0.260720 | + | 0.965414i | \(0.416040\pi\) | |||||||
\(90\) | −3.10083 | + | 4.14912i | −0.326856 | + | 0.437356i | ||||
\(91\) | −6.29259 | − | 6.29259i | −0.659642 | − | 0.659642i | ||||
\(92\) | 11.8247 | − | 8.37898i | 1.23281 | − | 0.873569i | ||||
\(93\) | −5.89509 | + | 11.4624i | −0.611293 | + | 1.18860i | ||||
\(94\) | −4.81110 | − | 2.48737i | −0.496227 | − | 0.256553i | ||||
\(95\) | −2.00449 | + | 3.47188i | −0.205656 | + | 0.356207i | ||||
\(96\) | −2.35589 | + | 9.51051i | −0.240447 | + | 0.970662i | ||||
\(97\) | −7.00277 | − | 12.1291i | −0.711023 | − | 1.23153i | −0.964473 | − | 0.264180i | \(-0.914899\pi\) |
0.253450 | − | 0.967348i | \(-0.418435\pi\) | |||||||
\(98\) | −0.526763 | − | 11.3351i | −0.0532111 | − | 1.14501i | ||||
\(99\) | 7.75590 | + | 1.28860i | 0.779498 | + | 0.129509i | ||||
\(100\) | 0.650954 | + | 6.98860i | 0.0650954 | + | 0.698860i | ||||
\(101\) | 1.05238 | − | 3.92753i | 0.104716 | − | 0.390804i | −0.893597 | − | 0.448870i | \(-0.851827\pi\) |
0.998313 | + | 0.0580659i | \(0.0184933\pi\) | |||||||
\(102\) | 3.29958 | − | 2.34872i | 0.326707 | − | 0.232558i | ||||
\(103\) | 3.96541 | − | 6.86830i | 0.390724 | − | 0.676754i | −0.601821 | − | 0.798631i | \(-0.705558\pi\) |
0.992545 | + | 0.121877i | \(0.0388914\pi\) | |||||||
\(104\) | −2.53548 | − | 5.97838i | −0.248624 | − | 0.586228i | ||||
\(105\) | 5.50749 | − | 6.07039i | 0.537476 | − | 0.592409i | ||||
\(106\) | 9.17352 | + | 2.00674i | 0.891011 | + | 0.194911i | ||||
\(107\) | −10.7040 | + | 10.7040i | −1.03479 | + | 1.03479i | −0.0354212 | + | 0.999372i | \(0.511277\pi\) |
−0.999372 | + | 0.0354212i | \(0.988723\pi\) | |||||||
\(108\) | −9.97315 | − | 2.92170i | −0.959667 | − | 0.281141i | ||||
\(109\) | −0.225954 | − | 0.225954i | −0.0216424 | − | 0.0216424i | 0.696203 | − | 0.717845i | \(-0.254871\pi\) |
−0.717845 | + | 0.696203i | \(0.754871\pi\) | |||||||
\(110\) | −3.80949 | + | 2.44196i | −0.363220 | + | 0.232832i | ||||
\(111\) | 0.906921 | + | 0.822824i | 0.0860811 | + | 0.0780990i | ||||
\(112\) | 5.13893 | − | 14.6278i | 0.485583 | − | 1.38219i | ||||
\(113\) | 2.55128 | + | 1.47298i | 0.240004 | + | 0.138567i | 0.615179 | − | 0.788388i | \(-0.289084\pi\) |
−0.375174 | + | 0.926954i | \(0.622417\pi\) | |||||||
\(114\) | −7.93167 | − | 1.33526i | −0.742869 | − | 0.125058i | ||||
\(115\) | −8.54538 | − | 2.28973i | −0.796860 | − | 0.213518i | ||||
\(116\) | 6.92476 | − | 8.34728i | 0.642948 | − | 0.775026i | ||||
\(117\) | 6.44873 | − | 2.41966i | 0.596185 | − | 0.223697i | ||||
\(118\) | −6.47265 | − | 5.89777i | −0.595856 | − | 0.542934i | ||||
\(119\) | −5.55029 | + | 3.20446i | −0.508794 | + | 0.293752i | ||||
\(120\) | 5.38647 | − | 2.59994i | 0.491716 | − | 0.237341i | ||||
\(121\) | −3.57817 | − | 2.06586i | −0.325289 | − | 0.187805i | ||||
\(122\) | −3.34308 | − | 10.5001i | −0.302668 | − | 0.950634i | ||||
\(123\) | 16.0812 | + | 8.27051i | 1.44999 | + | 0.745726i | ||||
\(124\) | 12.1438 | − | 8.60512i | 1.09054 | − | 0.772762i | ||||
\(125\) | 7.34619 | − | 7.34619i | 0.657063 | − | 0.657063i | ||||
\(126\) | 15.2716 | + | 6.09968i | 1.36050 | + | 0.543403i | ||||
\(127\) | 20.0270i | 1.77711i | 0.458770 | + | 0.888555i | \(0.348290\pi\) | ||||
−0.458770 | + | 0.888555i | \(0.651710\pi\) | |||||||
\(128\) | 7.47816 | − | 8.48982i | 0.660983 | − | 0.750401i | ||||
\(129\) | 13.5435 | + | 2.93232i | 1.19244 | + | 0.258177i | ||||
\(130\) | −1.82056 | + | 3.52134i | −0.159673 | + | 0.308842i | ||||
\(131\) | −8.78388 | + | 2.35363i | −0.767451 | + | 0.205638i | −0.621245 | − | 0.783616i | \(-0.713373\pi\) |
−0.146206 | + | 0.989254i | \(0.546706\pi\) | |||||||
\(132\) | −7.26041 | − | 5.45030i | −0.631938 | − | 0.474388i | ||||
\(133\) | 12.2939 | + | 3.29415i | 1.06602 | + | 0.285639i | ||||
\(134\) | −14.4974 | − | 13.2098i | −1.25238 | − | 1.14115i | ||||
\(135\) | 2.51442 | + | 5.82436i | 0.216407 | + | 0.501281i | ||||
\(136\) | −4.63140 | + | 0.649434i | −0.397139 | + | 0.0556885i | ||||
\(137\) | 5.06820 | + | 8.77838i | 0.433005 | + | 0.749987i | 0.997130 | − | 0.0757020i | \(-0.0241198\pi\) |
−0.564125 | + | 0.825689i | \(0.690786\pi\) | |||||||
\(138\) | −1.68399 | − | 17.6694i | −0.143351 | − | 1.50412i | ||||
\(139\) | 6.98099 | − | 1.87055i | 0.592120 | − | 0.158658i | 0.0496980 | − | 0.998764i | \(-0.484174\pi\) |
0.542422 | + | 0.840106i | \(0.317507\pi\) | |||||||
\(140\) | −8.87538 | + | 3.28689i | −0.750107 | + | 0.277793i | ||||
\(141\) | −5.57676 | + | 3.59169i | −0.469648 | + | 0.302475i | ||||
\(142\) | 8.38203 | + | 13.0761i | 0.703404 | + | 1.09732i | ||||
\(143\) | 6.01699 | 0.503166 | ||||||||
\(144\) | 8.66254 | + | 8.30424i | 0.721878 | + | 0.692020i | ||||
\(145\) | −6.62071 | −0.549820 | ||||||||
\(146\) | 8.01111 | + | 12.4974i | 0.663004 | + | 1.03429i | ||||
\(147\) | −12.3589 | − | 6.35612i | −1.01934 | − | 0.524244i | ||||
\(148\) | −0.491064 | − | 1.32599i | −0.0403652 | − | 0.108996i | ||||
\(149\) | −3.33856 | + | 0.894564i | −0.273505 | + | 0.0732855i | −0.392965 | − | 0.919554i | \(-0.628551\pi\) |
0.119459 | + | 0.992839i | \(0.461884\pi\) | |||||||
\(150\) | 7.81882 | + | 3.57245i | 0.638404 | + | 0.291689i | ||||
\(151\) | −0.234448 | − | 0.406076i | −0.0190791 | − | 0.0330460i | 0.856328 | − | 0.516432i | \(-0.172740\pi\) |
−0.875407 | + | 0.483386i | \(0.839407\pi\) | |||||||
\(152\) | 7.41565 | + | 5.59171i | 0.601489 | + | 0.453547i | ||||
\(153\) | −0.481192 | − | 4.93701i | −0.0389021 | − | 0.399133i | ||||
\(154\) | 10.6187 | + | 9.67561i | 0.855681 | + | 0.779683i | ||||
\(155\) | −8.77600 | − | 2.35152i | −0.704906 | − | 0.188879i | ||||
\(156\) | −7.89575 | − | 0.954807i | −0.632166 | − | 0.0764458i | ||||
\(157\) | 6.27529 | − | 1.68146i | 0.500823 | − | 0.134195i | 0.000440823 | − | 1.00000i | \(-0.499860\pi\) |
0.500382 | + | 0.865805i | \(0.333193\pi\) | |||||||
\(158\) | 5.87762 | − | 11.3685i | 0.467598 | − | 0.904433i | ||||
\(159\) | 7.72785 | − | 8.51768i | 0.612859 | − | 0.675496i | ||||
\(160\) | −6.90337 | − | 0.204444i | −0.545760 | − | 0.0161627i | ||||
\(161\) | 28.0866i | 2.21354i | ||||||||
\(162\) | −9.18737 | + | 8.80865i | −0.721828 | + | 0.692073i | ||||
\(163\) | 10.7957 | − | 10.7957i | 0.845583 | − | 0.845583i | −0.143996 | − | 0.989578i | \(-0.545995\pi\) |
0.989578 | + | 0.143996i | \(0.0459951\pi\) | |||||||
\(164\) | −12.0725 | − | 17.0371i | −0.942706 | − | 1.33037i | ||||
\(165\) | 0.269120 | + | 5.53540i | 0.0209510 | + | 0.430930i | ||||
\(166\) | 1.23673 | + | 3.88439i | 0.0959891 | + | 0.301487i | ||||
\(167\) | −5.80942 | − | 3.35407i | −0.449546 | − | 0.259546i | 0.258092 | − | 0.966120i | \(-0.416906\pi\) |
−0.707639 | + | 0.706575i | \(0.750239\pi\) | |||||||
\(168\) | −12.3990 | − | 14.3818i | −0.956601 | − | 1.10958i | ||||
\(169\) | −6.69333 | + | 3.86440i | −0.514872 | + | 0.297261i | ||||
\(170\) | 2.11024 | + | 1.92281i | 0.161848 | + | 0.147473i | ||||
\(171\) | −6.25711 | + | 7.60855i | −0.478493 | + | 0.581840i | ||||
\(172\) | −12.3151 | − | 10.2164i | −0.939015 | − | 0.778991i | ||||
\(173\) | −7.96162 | − | 2.13331i | −0.605310 | − | 0.162192i | −0.0568693 | − | 0.998382i | \(-0.518112\pi\) |
−0.548441 | + | 0.836189i | \(0.684779\pi\) | |||||||
\(174\) | −4.63975 | − | 12.4466i | −0.351739 | − | 0.943571i | ||||
\(175\) | −11.7803 | − | 6.80135i | −0.890506 | − | 0.514134i | ||||
\(176\) | 4.53662 | + | 9.45048i | 0.341961 | + | 0.712357i | ||||
\(177\) | −10.2122 | + | 3.27552i | −0.767597 | + | 0.246203i | ||||
\(178\) | −5.85687 | + | 3.75438i | −0.438991 | + | 0.281403i | ||||
\(179\) | −3.01712 | − | 3.01712i | −0.225510 | − | 0.225510i | 0.585304 | − | 0.810814i | \(-0.300975\pi\) |
−0.810814 | + | 0.585304i | \(0.800975\pi\) | |||||||
\(180\) | 0.525236 | − | 7.30649i | 0.0391488 | − | 0.544594i | ||||
\(181\) | 13.4602 | − | 13.4602i | 1.00049 | − | 1.00049i | 0.000489717 | − | 1.00000i | \(-0.499844\pi\) |
1.00000 | 0.000489717i | \(-0.000155882\pi\) | ||||||||
\(182\) | 12.2944 | + | 2.68945i | 0.911325 | + | 0.199355i | ||||
\(183\) | −13.1904 | − | 2.85586i | −0.975062 | − | 0.211111i | ||||
\(184\) | −7.68360 | + | 19.0006i | −0.566442 | + | 1.40074i | ||||
\(185\) | −0.431585 | + | 0.747526i | −0.0317307 | + | 0.0549592i | ||||
\(186\) | −1.72944 | − | 18.1463i | −0.126809 | − | 1.33055i | ||||
\(187\) | 1.12154 | − | 4.18565i | 0.0820153 | − | 0.306085i | ||||
\(188\) | 7.62645 | − | 0.710367i | 0.556216 | − | 0.0518088i | ||||
\(189\) | 15.7949 | − | 12.4965i | 1.14891 | − | 0.908989i | ||||
\(190\) | −0.263192 | − | 5.66344i | −0.0190939 | − | 0.410869i | ||||
\(191\) | 0.130752 | + | 0.226469i | 0.00946088 | + | 0.0163867i | 0.870717 | − | 0.491784i | \(-0.163655\pi\) |
−0.861256 | + | 0.508171i | \(0.830322\pi\) | |||||||
\(192\) | −4.45350 | − | 13.1212i | −0.321403 | − | 0.946942i | ||||
\(193\) | 0.344850 | − | 0.597298i | 0.0248229 | − | 0.0429944i | −0.853347 | − | 0.521343i | \(-0.825431\pi\) |
0.878170 | + | 0.478349i | \(0.158764\pi\) | |||||||
\(194\) | 17.5944 | + | 9.09645i | 1.26321 | + | 0.653087i | ||||
\(195\) | 2.62883 | + | 4.08174i | 0.188255 | + | 0.292300i | ||||
\(196\) | 9.27808 | + | 13.0935i | 0.662720 | + | 0.935250i | ||||
\(197\) | 5.05530 | + | 5.05530i | 0.360175 | + | 0.360175i | 0.863877 | − | 0.503702i | \(-0.168029\pi\) |
−0.503702 | + | 0.863877i | \(0.668029\pi\) | |||||||
\(198\) | −10.2176 | + | 4.38510i | −0.726135 | + | 0.311636i | ||||
\(199\) | −4.15845 | −0.294785 | −0.147392 | − | 0.989078i | \(-0.547088\pi\) | ||||
−0.147392 | + | 0.989078i | \(0.547088\pi\) | |||||||
\(200\) | −6.10872 | − | 7.82381i | −0.431952 | − | 0.553227i | ||||
\(201\) | −22.8732 | + | 7.33649i | −1.61335 | + | 0.517476i | ||||
\(202\) | 1.74453 | + | 5.47929i | 0.122745 | + | 0.385522i | ||||
\(203\) | 5.44018 | + | 20.3030i | 0.381826 | + | 1.42499i | ||||
\(204\) | −2.13594 | + | 5.31462i | −0.149546 | + | 0.372098i | ||||
\(205\) | −3.29906 | + | 12.3123i | −0.230417 | + | 0.859926i | ||||
\(206\) | 0.520663 | + | 11.2038i | 0.0362763 | + | 0.780605i | ||||
\(207\) | −19.7918 | − | 8.99178i | −1.37563 | − | 0.624972i | ||||
\(208\) | 7.58143 | + | 5.18277i | 0.525678 | + | 0.359361i | ||||
\(209\) | −7.45267 | + | 4.30280i | −0.515512 | + | 0.297631i | ||||
\(210\) | −1.92430 | + | 11.4307i | −0.132789 | + | 0.788794i | ||||
\(211\) | −2.22080 | − | 8.28816i | −0.152887 | − | 0.570580i | −0.999277 | − | 0.0380175i | \(-0.987896\pi\) |
0.846391 | − | 0.532563i | \(-0.178771\pi\) | |||||||
\(212\) | −12.4535 | + | 4.61200i | −0.855311 | + | 0.316754i | ||||
\(213\) | 19.0002 | − | 0.923754i | 1.30188 | − | 0.0632946i | ||||
\(214\) | 4.57488 | − | 20.9134i | 0.312733 | − | 1.42961i | ||||
\(215\) | 9.76779i | 0.666158i | ||||||||
\(216\) | 14.1039 | − | 4.13293i | 0.959646 | − | 0.281210i | ||||
\(217\) | 28.8447i | 1.95810i | ||||||||
\(218\) | 0.441468 | + | 0.0965726i | 0.0299000 | + | 0.00654072i | ||||
\(219\) | 18.1594 | − | 0.882876i | 1.22710 | − | 0.0596592i | ||||
\(220\) | 2.67187 | − | 5.81480i | 0.180137 | − | 0.392033i | ||||
\(221\) | −0.982532 | − | 3.66686i | −0.0660923 | − | 0.246660i | ||||
\(222\) | −1.70776 | − | 0.287492i | −0.114617 | − | 0.0192952i | ||||
\(223\) | 10.4773 | − | 6.04905i | 0.701610 | − | 0.405074i | −0.106337 | − | 0.994330i | \(-0.533912\pi\) |
0.807947 | + | 0.589256i | \(0.200579\pi\) | |||||||
\(224\) | 5.04549 | + | 21.3378i | 0.337116 | + | 1.42569i | ||||
\(225\) | 8.56410 | − | 6.12379i | 0.570940 | − | 0.408253i | ||||
\(226\) | −4.16173 | + | 0.193404i | −0.276834 | + | 0.0128650i | ||||
\(227\) | −3.35751 | + | 12.5304i | −0.222846 | + | 0.831671i | 0.760411 | + | 0.649443i | \(0.224998\pi\) |
−0.983256 | + | 0.182229i | \(0.941669\pi\) | |||||||
\(228\) | 10.4625 | − | 4.46369i | 0.692896 | − | 0.295615i | ||||
\(229\) | −1.70767 | − | 6.37310i | −0.112846 | − | 0.421146i | 0.886271 | − | 0.463167i | \(-0.153287\pi\) |
−0.999117 | + | 0.0420210i | \(0.986620\pi\) | |||||||
\(230\) | 11.9216 | − | 3.79568i | 0.786089 | − | 0.250280i | ||||
\(231\) | 16.7537 | − | 5.37367i | 1.10231 | − | 0.353561i | ||||
\(232\) | −1.87398 | + | 15.2232i | −0.123033 | + | 0.999455i | ||||
\(233\) | −7.09511 | −0.464816 | −0.232408 | − | 0.972618i | \(-0.574660\pi\) | ||||
−0.232408 | + | 0.972618i | \(0.574660\pi\) | |||||||
\(234\) | −5.83117 | + | 7.80251i | −0.381196 | + | 0.510066i | ||||
\(235\) | −3.30621 | − | 3.30621i | −0.215673 | − | 0.215673i | ||||
\(236\) | 12.2075 | + | 2.08196i | 0.794641 | + | 0.135524i | ||||
\(237\) | −8.48711 | − | 13.1778i | −0.551297 | − | 0.855990i | ||||
\(238\) | 4.16252 | − | 8.05120i | 0.269816 | − | 0.521882i | ||||
\(239\) | 8.35740 | − | 14.4754i | 0.540595 | − | 0.936338i | −0.458275 | − | 0.888810i | \(-0.651532\pi\) |
0.998870 | − | 0.0475275i | \(-0.0151342\pi\) | |||||||
\(240\) | −4.42886 | + | 7.20644i | −0.285882 | + | 0.465174i | ||||
\(241\) | −13.3143 | − | 23.0610i | −0.857647 | − | 1.48549i | −0.874168 | − | 0.485624i | \(-0.838592\pi\) |
0.0165212 | − | 0.999864i | \(-0.494741\pi\) | |||||||
\(242\) | 5.83683 | − | 0.271249i | 0.375206 | − | 0.0174366i | ||||
\(243\) | 3.74929 | + | 15.1309i | 0.240517 | + | 0.970645i | ||||
\(244\) | 11.9939 | + | 9.94997i | 0.767833 | + | 0.636982i | ||||
\(245\) | 2.53542 | − | 9.46233i | 0.161982 | − | 0.604526i | ||||
\(246\) | −25.4583 | + | 2.42631i | −1.62316 | + | 0.154696i | ||||
\(247\) | −3.76949 | + | 6.52894i | −0.239847 | + | 0.415427i | ||||
\(248\) | −7.89097 | + | 19.5134i | −0.501077 | + | 1.23910i | ||||
\(249\) | 4.87963 | + | 1.05649i | 0.309234 | + | 0.0669524i | ||||
\(250\) | −3.13976 | + | 14.3530i | −0.198576 | + | 0.907762i | ||||
\(251\) | 12.5807 | − | 12.5807i | 0.794085 | − | 0.794085i | −0.188070 | − | 0.982156i | \(-0.560223\pi\) |
0.982156 | + | 0.188070i | \(0.0602233\pi\) | |||||||
\(252\) | −22.8376 | + | 4.39299i | −1.43863 | + | 0.276733i | ||||
\(253\) | −13.4283 | − | 13.4283i | −0.844227 | − | 0.844227i | ||||
\(254\) | −15.2846 | − | 23.8442i | −0.959042 | − | 1.49612i | ||||
\(255\) | 3.32943 | − | 1.06790i | 0.208497 | − | 0.0668744i | ||||
\(256\) | −2.42407 | + | 15.8153i | −0.151504 | + | 0.988457i | ||||
\(257\) | −15.6784 | − | 9.05193i | −0.977992 | − | 0.564644i | −0.0763288 | − | 0.997083i | \(-0.524320\pi\) |
−0.901663 | + | 0.432439i | \(0.857653\pi\) | |||||||
\(258\) | −18.3629 | + | 6.84521i | −1.14322 | + | 0.426164i | ||||
\(259\) | 2.64699 | + | 0.709259i | 0.164476 | + | 0.0440712i | ||||
\(260\) | −0.519932 | − | 5.58195i | −0.0322448 | − | 0.346178i | ||||
\(261\) | −16.0486 | − | 2.66637i | −0.993382 | − | 0.165044i | ||||
\(262\) | 8.66179 | − | 9.50609i | 0.535127 | − | 0.587288i | ||||
\(263\) | −4.90611 | + | 2.83254i | −0.302524 | + | 0.174662i | −0.643576 | − | 0.765382i | \(-0.722550\pi\) |
0.341052 | + | 0.940044i | \(0.389217\pi\) | |||||||
\(264\) | 12.8039 | + | 0.947985i | 0.788026 | + | 0.0583445i | ||||
\(265\) | 7.02067 | + | 4.05338i | 0.431276 | + | 0.248997i | ||||
\(266\) | −17.1512 | + | 5.46070i | −1.05161 | + | 0.334817i | ||||
\(267\) | 0.413757 | + | 8.51036i | 0.0253215 | + | 0.520826i | ||||
\(268\) | 27.3423 | + | 4.66316i | 1.67019 | + | 0.284848i | ||||
\(269\) | −14.2691 | + | 14.2691i | −0.870000 | + | 0.870000i | −0.992472 | − | 0.122472i | \(-0.960918\pi\) |
0.122472 | + | 0.992472i | \(0.460918\pi\) | |||||||
\(270\) | −7.43882 | − | 5.01547i | −0.452712 | − | 0.305232i | ||||
\(271\) | − | 0.189638i | − | 0.0115197i | −0.999983 | − | 0.00575985i | \(-0.998167\pi\) | ||
0.999983 | − | 0.00575985i | \(-0.00183343\pi\) | |||||||
\(272\) | 5.01849 | − | 4.30790i | 0.304291 | − | 0.261205i | ||||
\(273\) | 10.3570 | − | 11.4155i | 0.626831 | − | 0.690897i | ||||
\(274\) | −12.7338 | − | 6.58348i | −0.769280 | − | 0.397723i | ||||
\(275\) | 8.88390 | − | 2.38043i | 0.535720 | − | 0.143546i | ||||
\(276\) | 15.4903 | + | 19.7520i | 0.932404 | + | 1.18893i | ||||
\(277\) | −7.79717 | − | 2.08925i | −0.468487 | − | 0.125531i | 0.0168499 | − | 0.999858i | \(-0.494636\pi\) |
−0.485337 | + | 0.874327i | \(0.661303\pi\) | |||||||
\(278\) | −6.88396 | + | 7.55496i | −0.412872 | + | 0.453117i | ||||
\(279\) | −20.3259 | − | 9.23445i | −1.21688 | − | 0.552852i | ||||
\(280\) | 8.05848 | − | 10.6871i | 0.481586 | − | 0.638674i | ||||
\(281\) | 1.54002 | + | 2.66740i | 0.0918700 | + | 0.159124i | 0.908298 | − | 0.418324i | \(-0.137382\pi\) |
−0.816428 | + | 0.577447i | \(0.804049\pi\) | |||||||
\(282\) | 3.89851 | − | 8.53245i | 0.232153 | − | 0.508100i | ||||
\(283\) | 7.94293 | − | 2.12830i | 0.472158 | − | 0.126514i | −0.0148908 | − | 0.999889i | \(-0.504740\pi\) |
0.487049 | + | 0.873375i | \(0.338073\pi\) | |||||||
\(284\) | −19.9593 | − | 9.17118i | −1.18437 | − | 0.544210i | ||||
\(285\) | −6.17498 | − | 3.17577i | −0.365774 | − | 0.188116i | ||||
\(286\) | −7.16382 | + | 4.59216i | −0.423606 | + | 0.271540i | ||||
\(287\) | 40.4675 | 2.38872 | ||||||||
\(288\) | −16.6514 | − | 3.27578i | −0.981193 | − | 0.193027i | ||||
\(289\) | 14.2660 | 0.839179 | ||||||||
\(290\) | 7.88262 | − | 5.05293i | 0.462883 | − | 0.296718i | ||||
\(291\) | 20.3945 | − | 13.1350i | 1.19555 | − | 0.769988i | ||||
\(292\) | −19.0760 | − | 8.76534i | −1.11634 | − | 0.512953i | ||||
\(293\) | −20.7143 | + | 5.55039i | −1.21014 | + | 0.324257i | −0.806819 | − | 0.590799i | \(-0.798813\pi\) |
−0.403326 | + | 0.915056i | \(0.632146\pi\) | |||||||
\(294\) | 19.5654 | − | 1.86469i | 1.14108 | − | 0.108751i | ||||
\(295\) | −3.77981 | − | 6.54682i | −0.220069 | − | 0.381171i | ||||
\(296\) | 1.59665 | + | 1.20394i | 0.0928037 | + | 0.0699778i | ||||
\(297\) | −1.57693 | + | 13.5262i | −0.0915030 | + | 0.784867i | ||||
\(298\) | 3.29215 | − | 3.61305i | 0.190709 | − | 0.209298i | ||||
\(299\) | −16.0698 | − | 4.30588i | −0.929338 | − | 0.249015i | ||||
\(300\) | −12.0356 | + | 1.71396i | −0.694874 | + | 0.0989557i | ||||
\(301\) | 29.9538 | − | 8.02611i | 1.72651 | − | 0.462617i | ||||
\(302\) | 0.589051 | + | 0.304543i | 0.0338961 | + | 0.0175245i | ||||
\(303\) | 6.88317 | + | 1.49028i | 0.395428 | + | 0.0856144i | ||||
\(304\) | −13.0967 | − | 0.997860i | −0.751145 | − | 0.0572312i | ||||
\(305\) | − | 9.51309i | − | 0.544718i | ||||||
\(306\) | 4.34083 | + | 5.51075i | 0.248149 | + | 0.315029i | ||||
\(307\) | 14.6450 | − | 14.6450i | 0.835837 | − | 0.835837i | −0.152471 | − | 0.988308i | \(-0.548723\pi\) |
0.988308 | + | 0.152471i | \(0.0487231\pi\) | |||||||
\(308\) | −20.0271 | − | 3.41557i | −1.14115 | − | 0.194620i | ||||
\(309\) | 12.2157 | + | 6.28251i | 0.694929 | + | 0.357399i | ||||
\(310\) | 12.2434 | − | 3.89812i | 0.695377 | − | 0.221398i | ||||
\(311\) | −0.242062 | − | 0.139755i | −0.0137261 | − | 0.00792475i | 0.493121 | − | 0.869961i | \(-0.335856\pi\) |
−0.506847 | + | 0.862036i | \(0.669189\pi\) | |||||||
\(312\) | 10.1294 | − | 4.88924i | 0.573463 | − | 0.276799i | ||||
\(313\) | 8.17606 | − | 4.72045i | 0.462138 | − | 0.266816i | −0.250805 | − | 0.968038i | \(-0.580695\pi\) |
0.712943 | + | 0.701222i | \(0.247362\pi\) | |||||||
\(314\) | −6.18807 | + | 6.79124i | −0.349213 | + | 0.383252i | ||||
\(315\) | 10.9650 | + | 9.01743i | 0.617810 | + | 0.508074i | ||||
\(316\) | 1.67859 | + | 18.0212i | 0.0944278 | + | 1.01377i | ||||
\(317\) | 29.5930 | + | 7.92943i | 1.66211 | + | 0.445361i | 0.962967 | − | 0.269619i | \(-0.0868979\pi\) |
0.699144 | + | 0.714981i | \(0.253565\pi\) | |||||||
\(318\) | −2.70009 | + | 16.0390i | −0.151413 | + | 0.899425i | ||||
\(319\) | −12.3079 | − | 7.10595i | −0.689108 | − | 0.397857i | ||||
\(320\) | 8.37518 | − | 5.02524i | 0.468187 | − | 0.280919i | ||||
\(321\) | −19.4183 | − | 17.6177i | −1.08382 | − | 0.983323i | ||||
\(322\) | −21.4357 | − | 33.4399i | −1.19457 | − | 1.86353i | ||||
\(323\) | 3.83917 | + | 3.83917i | 0.213617 | + | 0.213617i | ||||
\(324\) | 4.21572 | − | 17.4994i | 0.234207 | − | 0.972187i | ||||
\(325\) | 5.69739 | − | 5.69739i | 0.316034 | − | 0.316034i | ||||
\(326\) | −4.61407 | + | 21.0926i | −0.255550 | + | 1.16821i | ||||
\(327\) | 0.371897 | − | 0.409906i | 0.0205659 | − | 0.0226679i | ||||
\(328\) | 27.3763 | + | 11.0706i | 1.51160 | + | 0.611272i | ||||
\(329\) | −7.42211 | + | 12.8555i | −0.409194 | + | 0.708745i | ||||
\(330\) | −4.54503 | − | 6.38505i | −0.250195 | − | 0.351485i | ||||
\(331\) | −7.00136 | + | 26.1294i | −0.384829 | + | 1.43620i | 0.453606 | + | 0.891202i | \(0.350137\pi\) |
−0.838436 | + | 0.545001i | \(0.816529\pi\) | |||||||
\(332\) | −4.43701 | − | 3.68087i | −0.243513 | − | 0.202014i | ||||
\(333\) | −1.34721 | + | 1.63819i | −0.0738267 | + | 0.0897721i | ||||
\(334\) | 9.47651 | − | 0.440393i | 0.518532 | − | 0.0240972i | ||||
\(335\) | −8.46598 | − | 14.6635i | −0.462546 | − | 0.801153i | ||||
\(336\) | 25.7384 | + | 7.66005i | 1.40414 | + | 0.417890i | ||||
\(337\) | −7.23274 | + | 12.5275i | −0.393993 | + | 0.682415i | −0.992972 | − | 0.118349i | \(-0.962240\pi\) |
0.598980 | + | 0.800764i | \(0.295573\pi\) | |||||||
\(338\) | 5.01977 | − | 9.70930i | 0.273040 | − | 0.528116i | ||||
\(339\) | −2.33368 | + | 4.53763i | −0.126748 | + | 0.246450i | ||||
\(340\) | −3.97994 | − | 0.678769i | −0.215842 | − | 0.0368114i | ||||
\(341\) | −13.7907 | − | 13.7907i | −0.746806 | − | 0.746806i | ||||
\(342\) | 1.64287 | − | 13.8342i | 0.0888364 | − | 0.748065i | ||||
\(343\) | −3.96811 | −0.214258 | ||||||||
\(344\) | 22.4594 | + | 2.76475i | 1.21093 | + | 0.149065i | ||||
\(345\) | 3.24250 | − | 14.9762i | 0.174570 | − | 0.806289i | ||||
\(346\) | 11.1072 | − | 3.53639i | 0.597129 | − | 0.190117i | ||||
\(347\) | −2.74121 | − | 10.2303i | −0.147156 | − | 0.549194i | −0.999650 | − | 0.0264566i | \(-0.991578\pi\) |
0.852494 | − | 0.522737i | \(-0.175089\pi\) | |||||||
\(348\) | 15.0233 | + | 11.2778i | 0.805333 | + | 0.604554i | ||||
\(349\) | −0.171076 | + | 0.638465i | −0.00915749 | + | 0.0341762i | −0.970353 | − | 0.241690i | \(-0.922298\pi\) |
0.961196 | + | 0.275867i | \(0.0889648\pi\) | |||||||
\(350\) | 19.2164 | − | 0.893024i | 1.02716 | − | 0.0477341i | ||||
\(351\) | 4.72843 | + | 10.9528i | 0.252385 | + | 0.584619i | ||||
\(352\) | −12.6139 | − | 7.78939i | −0.672323 | − | 0.415176i | ||||
\(353\) | 8.55438 | − | 4.93888i | 0.455304 | − | 0.262870i | −0.254764 | − | 0.967003i | \(-0.581998\pi\) |
0.710068 | + | 0.704133i | \(0.248664\pi\) | |||||||
\(354\) | 9.65878 | − | 11.6938i | 0.513358 | − | 0.621518i | ||||
\(355\) | 3.47044 | + | 12.9518i | 0.184192 | + | 0.687413i | ||||
\(356\) | 4.10785 | − | 8.93992i | 0.217715 | − | 0.473815i | ||||
\(357\) | −6.01057 | − | 9.33251i | −0.318113 | − | 0.493929i | ||||
\(358\) | 5.89485 | + | 1.28952i | 0.311553 | + | 0.0681532i | ||||
\(359\) | − | 31.4509i | − | 1.65991i | −0.557828 | − | 0.829956i | \(-0.688365\pi\) | ||
0.557828 | − | 0.829956i | \(-0.311635\pi\) | |||||||
\(360\) | 4.95096 | + | 9.09996i | 0.260939 | + | 0.479610i | ||||
\(361\) | 8.21762i | 0.432506i | ||||||||
\(362\) | −5.75289 | + | 26.2985i | −0.302365 | + | 1.38222i | ||||
\(363\) | 3.27299 | − | 6.36403i | 0.171788 | − | 0.334025i | ||||
\(364\) | −16.6903 | + | 6.18106i | −0.874812 | + | 0.323975i | ||||
\(365\) | 3.31686 | + | 12.3787i | 0.173613 | + | 0.647931i | ||||
\(366\) | 17.8841 | − | 6.66671i | 0.934815 | − | 0.348475i | ||||
\(367\) | −2.27957 | + | 1.31611i | −0.118993 | + | 0.0687004i | −0.558315 | − | 0.829629i | \(-0.688552\pi\) |
0.439322 | + | 0.898329i | \(0.355219\pi\) | |||||||
\(368\) | −5.35315 | − | 28.4862i | −0.279052 | − | 1.48495i | ||||
\(369\) | −12.9555 | + | 28.5162i | −0.674434 | + | 1.48450i | ||||
\(370\) | −0.0566675 | − | 1.21939i | −0.00294600 | − | 0.0633930i | ||||
\(371\) | 6.66126 | − | 24.8602i | 0.345835 | − | 1.29068i | ||||
\(372\) | 15.9083 | + | 20.2851i | 0.824808 | + | 1.05173i | ||||
\(373\) | 6.22536 | + | 23.2334i | 0.322337 | + | 1.20298i | 0.916962 | + | 0.398975i | \(0.130634\pi\) |
−0.594625 | + | 0.804003i | \(0.702699\pi\) | |||||||
\(374\) | 1.85918 | + | 5.83940i | 0.0961360 | + | 0.301948i | ||||
\(375\) | 13.3268 | + | 12.0911i | 0.688195 | + | 0.624380i | ||||
\(376\) | −8.53790 | + | 6.66627i | −0.440308 | + | 0.343786i | ||||
\(377\) | −12.4504 | −0.641228 | ||||||||
\(378\) | −9.26800 | + | 26.9330i | −0.476695 | + | 1.38528i | ||||
\(379\) | −8.59872 | − | 8.59872i | −0.441687 | − | 0.441687i | 0.450892 | − | 0.892579i | \(-0.351106\pi\) |
−0.892579 | + | 0.450892i | \(0.851106\pi\) | |||||||
\(380\) | 4.63569 | + | 6.54203i | 0.237806 | + | 0.335599i | ||||
\(381\) | −34.6469 | + | 1.68446i | −1.77501 | + | 0.0862976i | ||||
\(382\) | −0.328514 | − | 0.169844i | −0.0168083 | − | 0.00868998i | ||||
\(383\) | −6.23486 | + | 10.7991i | −0.318586 | + | 0.551808i | −0.980193 | − | 0.198043i | \(-0.936541\pi\) |
0.661607 | + | 0.749851i | \(0.269875\pi\) | |||||||
\(384\) | 15.3164 | + | 12.2232i | 0.781614 | + | 0.623763i | ||||
\(385\) | 6.20098 | + | 10.7404i | 0.316031 | + | 0.547382i | ||||
\(386\) | 0.0452792 | + | 0.974332i | 0.00230465 | + | 0.0495922i | ||||
\(387\) | −3.93380 | + | 23.6771i | −0.199966 | + | 1.20357i | ||||
\(388\) | −27.8903 | + | 2.59785i | −1.41592 | + | 0.131886i | ||||
\(389\) | 3.38346 | − | 12.6272i | 0.171548 | − | 0.640227i | −0.825566 | − | 0.564306i | \(-0.809144\pi\) |
0.997114 | − | 0.0759206i | \(-0.0241896\pi\) | |||||||
\(390\) | −6.24507 | − | 2.85340i | −0.316231 | − | 0.144487i | ||||
\(391\) | −5.99068 | + | 10.3762i | −0.302962 | + | 0.524745i | ||||
\(392\) | −21.0394 | − | 8.50808i | −1.06265 | − | 0.429723i | ||||
\(393\) | −4.81061 | − | 14.9982i | −0.242663 | − | 0.756560i | ||||
\(394\) | −9.87704 | − | 2.16063i | −0.497598 | − | 0.108851i | ||||
\(395\) | 7.81252 | − | 7.81252i | 0.393090 | − | 0.393090i | ||||
\(396\) | 8.81840 | − | 13.0190i | 0.443141 | − | 0.654229i | ||||
\(397\) | 1.89653 | + | 1.89653i | 0.0951839 | + | 0.0951839i | 0.753095 | − | 0.657911i | \(-0.228560\pi\) |
−0.657911 | + | 0.753095i | \(0.728560\pi\) | |||||||
\(398\) | 4.95105 | − | 3.17373i | 0.248174 | − | 0.159085i | ||||
\(399\) | −4.66486 | + | 21.5456i | −0.233535 | + | 1.07863i | ||||
\(400\) | 13.2442 | + | 4.65285i | 0.662209 | + | 0.232643i | ||||
\(401\) | 7.73867 | + | 4.46792i | 0.386451 | + | 0.223118i | 0.680621 | − | 0.732635i | \(-0.261710\pi\) |
−0.294170 | + | 0.955753i | \(0.595043\pi\) | |||||||
\(402\) | 21.6336 | − | 26.1916i | 1.07899 | − | 1.30632i | ||||
\(403\) | −16.5035 | − | 4.42209i | −0.822096 | − | 0.220280i | ||||
\(404\) | −6.25883 | − | 5.19222i | −0.311388 | − | 0.258322i | ||||
\(405\) | −9.86470 | + | 4.83985i | −0.490181 | + | 0.240494i | ||||
\(406\) | −21.9723 | − | 20.0208i | −1.09047 | − | 0.993617i | ||||
\(407\) | −1.60463 | + | 0.926431i | −0.0795384 | + | 0.0459215i | ||||
\(408\) | −1.51307 | − | 7.95773i | −0.0749081 | − | 0.393966i | ||||
\(409\) | −5.14089 | − | 2.96810i | −0.254201 | − | 0.146763i | 0.367485 | − | 0.930029i | \(-0.380219\pi\) |
−0.621686 | + | 0.783266i | \(0.713552\pi\) | |||||||
\(410\) | −5.46886 | − | 17.1768i | −0.270088 | − | 0.848303i | ||||
\(411\) | −14.7604 | + | 9.50636i | −0.728075 | + | 0.468914i | ||||
\(412\) | −9.17063 | − | 12.9419i | −0.451805 | − | 0.637600i | ||||
\(413\) | −16.9706 | + | 16.9706i | −0.835069 | + | 0.835069i | ||||
\(414\) | 30.4266 | − | 4.39949i | 1.49539 | − | 0.216223i | ||||
\(415\) | 3.51925i | 0.172753i | ||||||||
\(416\) | −12.9819 | − | 0.384462i | −0.636492 | − | 0.0188498i | ||||
\(417\) | 3.82323 | + | 11.9198i | 0.187225 | + | 0.583717i | ||||
\(418\) | 5.58925 | − | 10.8108i | 0.273379 | − | 0.528773i | ||||
\(419\) | 30.6701 | − | 8.21802i | 1.49833 | − | 0.401476i | 0.585790 | − | 0.810463i | \(-0.300784\pi\) |
0.912540 | + | 0.408986i | \(0.134118\pi\) | |||||||
\(420\) | −6.43284 | − | 15.0780i | −0.313890 | − | 0.735732i | ||||
\(421\) | 17.0997 | + | 4.58184i | 0.833387 | + | 0.223305i | 0.650191 | − | 0.759771i | \(-0.274689\pi\) |
0.183196 | + | 0.983076i | \(0.441356\pi\) | |||||||
\(422\) | 8.96961 | + | 8.17296i | 0.436634 | + | 0.397853i | ||||
\(423\) | −6.68272 | − | 9.34575i | −0.324925 | − | 0.454406i | ||||
\(424\) | 11.3073 | − | 14.9956i | 0.549130 | − | 0.728249i | ||||
\(425\) | −2.90136 | − | 5.02530i | −0.140737 | − | 0.243763i | ||||
\(426\) | −21.9167 | + | 15.6008i | −1.06187 | + | 0.755861i | ||||
\(427\) | −29.1728 | + | 7.81682i | −1.41177 | + | 0.378283i | ||||
\(428\) | 10.5143 | + | 28.3911i | 0.508227 | + | 1.37233i | ||||
\(429\) | 0.506086 | + | 10.4094i | 0.0244340 | + | 0.502572i | ||||
\(430\) | −7.45477 | − | 11.6295i | −0.359501 | − | 0.560826i | ||||
\(431\) | −20.7181 | −0.997956 | −0.498978 | − | 0.866615i | \(-0.666291\pi\) | ||||
−0.498978 | + | 0.866615i | \(0.666291\pi\) | |||||||
\(432\) | −13.6378 | + | 15.6847i | −0.656149 | + | 0.754632i | ||||
\(433\) | −9.78697 | −0.470332 | −0.235166 | − | 0.971955i | \(-0.575563\pi\) | ||||
−0.235166 | + | 0.971955i | \(0.575563\pi\) | |||||||
\(434\) | −22.0142 | − | 34.3424i | −1.05672 | − | 1.64849i | ||||
\(435\) | −0.556865 | − | 11.4539i | −0.0266996 | − | 0.549172i | ||||
\(436\) | −0.599316 | + | 0.221949i | −0.0287020 | + | 0.0106294i | ||||
\(437\) | 22.9833 | − | 6.15835i | 1.09944 | − | 0.294594i | ||||
\(438\) | −20.9468 | + | 14.9104i | −1.00088 | + | 0.712448i | ||||
\(439\) | 10.6989 | + | 18.5310i | 0.510629 | + | 0.884435i | 0.999924 | + | 0.0123167i | \(0.00392064\pi\) |
−0.489295 | + | 0.872118i | \(0.662746\pi\) | |||||||
\(440\) | 1.25673 | + | 8.96226i | 0.0599120 | + | 0.427259i | ||||
\(441\) | 9.95663 | − | 21.9155i | 0.474125 | − | 1.04360i | ||||
\(442\) | 3.96835 | + | 3.61589i | 0.188755 | + | 0.171990i | ||||
\(443\) | 23.0566 | + | 6.17801i | 1.09545 | + | 0.293526i | 0.760912 | − | 0.648855i | \(-0.224752\pi\) |
0.334542 | + | 0.942381i | \(0.391419\pi\) | |||||||
\(444\) | 2.25267 | − | 0.961072i | 0.106907 | − | 0.0456105i | ||||
\(445\) | −5.80124 | + | 1.55444i | −0.275005 | + | 0.0736874i | ||||
\(446\) | −7.85759 | + | 15.1982i | −0.372068 | + | 0.719658i | ||||
\(447\) | −1.82841 | − | 5.70049i | −0.0864806 | − | 0.269624i | ||||
\(448\) | −22.2922 | − | 21.5541i | −1.05321 | − | 1.01833i | ||||
\(449\) | 17.2778i | 0.815390i | 0.913118 | + | 0.407695i | \(0.133667\pi\) | ||||
−0.913118 | + | 0.407695i | \(0.866333\pi\) | |||||||
\(450\) | −5.52273 | + | 13.8271i | −0.260344 | + | 0.651816i | ||||
\(451\) | −19.3476 | + | 19.3476i | −0.911042 | + | 0.911042i | ||||
\(452\) | 4.80735 | − | 3.40650i | 0.226119 | − | 0.160228i | ||||
\(453\) | 0.682795 | − | 0.439752i | 0.0320805 | − | 0.0206613i | ||||
\(454\) | −5.56574 | − | 17.4811i | −0.261213 | − | 0.820430i | ||||
\(455\) | 9.40918 | + | 5.43239i | 0.441109 | + | 0.254674i | ||||
\(456\) | −9.04996 | + | 13.2994i | −0.423803 | + | 0.622804i | ||||
\(457\) | 33.3114 | − | 19.2323i | 1.55824 | − | 0.899651i | 0.560815 | − | 0.827941i | \(-0.310488\pi\) |
0.997426 | − | 0.0717098i | \(-0.0228455\pi\) | |||||||
\(458\) | 6.89709 | + | 6.28451i | 0.322280 | + | 0.293656i | ||||
\(459\) | 8.50058 | − | 1.24772i | 0.396773 | − | 0.0582383i | ||||
\(460\) | −11.2970 | + | 13.6177i | −0.526727 | + | 0.634929i | ||||
\(461\) | −2.43896 | − | 0.653517i | −0.113594 | − | 0.0304373i | 0.201574 | − | 0.979473i | \(-0.435394\pi\) |
−0.315168 | + | 0.949036i | \(0.602061\pi\) | |||||||
\(462\) | −15.8457 | + | 19.1843i | −0.737210 | + | 0.892534i | ||||
\(463\) | −24.3919 | − | 14.0827i | −1.13359 | − | 0.654476i | −0.188752 | − | 0.982025i | \(-0.560444\pi\) |
−0.944834 | + | 0.327549i | \(0.893777\pi\) | |||||||
\(464\) | −9.38721 | − | 19.5550i | −0.435790 | − | 0.907818i | ||||
\(465\) | 3.33001 | − | 15.3803i | 0.154425 | − | 0.713246i | ||||
\(466\) | 8.44743 | − | 5.41498i | 0.391320 | − | 0.250844i | ||||
\(467\) | 2.16739 | + | 2.16739i | 0.100295 | + | 0.100295i | 0.755474 | − | 0.655179i | \(-0.227407\pi\) |
−0.655179 | + | 0.755474i | \(0.727407\pi\) | |||||||
\(468\) | 0.987717 | − | 13.7400i | 0.0456572 | − | 0.635132i | ||||
\(469\) | −38.0106 | + | 38.0106i | −1.75517 | + | 1.75517i | ||||
\(470\) | 6.45967 | + | 1.41307i | 0.297962 | + | 0.0651802i | ||||
\(471\) | 3.43675 | + | 10.7149i | 0.158357 | + | 0.493715i | ||||
\(472\) | −16.1232 | + | 6.83798i | −0.742131 | + | 0.314744i | ||||
\(473\) | −10.4837 | + | 18.1583i | −0.482040 | + | 0.834918i | ||||
\(474\) | 20.1620 | + | 9.21212i | 0.926073 | + | 0.423126i | ||||
\(475\) | −2.98256 | + | 11.1311i | −0.136849 | + | 0.510729i | ||||
\(476\) | 1.18877 | + | 12.7626i | 0.0544873 | + | 0.584972i | ||||
\(477\) | 15.3856 | + | 12.6528i | 0.704460 | + | 0.579333i | ||||
\(478\) | 1.09733 | + | 23.6128i | 0.0501909 | + | 1.08002i | ||||
\(479\) | 0.298969 | + | 0.517829i | 0.0136602 | + | 0.0236602i | 0.872775 | − | 0.488123i | \(-0.162318\pi\) |
−0.859114 | + | 0.511783i | \(0.828985\pi\) | |||||||
\(480\) | −0.226949 | − | 11.9601i | −0.0103588 | − | 0.545901i | ||||
\(481\) | −0.811604 | + | 1.40574i | −0.0370060 | + | 0.0640962i | ||||
\(482\) | 33.4521 | + | 17.2949i | 1.52370 | + | 0.787763i | ||||
\(483\) | −48.5901 | + | 2.36235i | −2.21093 | + | 0.107491i | ||||
\(484\) | −6.74231 | + | 4.77762i | −0.306469 | + | 0.217164i | ||||
\(485\) | 12.0910 | + | 12.0910i | 0.549023 | + | 0.549023i | ||||
\(486\) | −16.0118 | − | 15.1533i | −0.726308 | − | 0.687369i | ||||
\(487\) | 2.90101 | 0.131457 | 0.0657287 | − | 0.997838i | \(-0.479063\pi\) | ||||
0.0657287 | + | 0.997838i | \(0.479063\pi\) | |||||||
\(488\) | −21.8738 | − | 2.69266i | −0.990180 | − | 0.121891i | ||||
\(489\) | 19.5846 | + | 17.7686i | 0.885647 | + | 0.803523i | ||||
\(490\) | 4.20297 | + | 13.2009i | 0.189871 | + | 0.596355i | ||||
\(491\) | −0.760458 | − | 2.83807i | −0.0343190 | − | 0.128080i | 0.946641 | − | 0.322290i | \(-0.104453\pi\) |
−0.980960 | + | 0.194210i | \(0.937786\pi\) | |||||||
\(492\) | 28.4589 | − | 22.3185i | 1.28303 | − | 1.00620i | ||||
\(493\) | −2.32070 | + | 8.66099i | −0.104519 | + | 0.390071i | ||||
\(494\) | −0.494937 | − | 10.6502i | −0.0222683 | − | 0.479176i | ||||
\(495\) | −9.55364 | + | 0.931159i | −0.429404 | + | 0.0418525i | ||||
\(496\) | −5.49762 | − | 29.2550i | −0.246850 | − | 1.31359i | ||||
\(497\) | 36.8664 | − | 21.2848i | 1.65368 | − | 0.954755i | ||||
\(498\) | −6.61599 | + | 2.46627i | −0.296470 | + | 0.110516i | ||||
\(499\) | 3.32662 | + | 12.4151i | 0.148920 | + | 0.555777i | 0.999550 | + | 0.0300115i | \(0.00955439\pi\) |
−0.850630 | + | 0.525765i | \(0.823779\pi\) | |||||||
\(500\) | −7.21599 | − | 19.4849i | −0.322709 | − | 0.871391i | ||||
\(501\) | 5.31394 | − | 10.3324i | 0.237409 | − | 0.461620i | ||||
\(502\) | −5.37698 | + | 24.5801i | −0.239986 | + | 1.09706i | ||||
\(503\) | 2.78327i | 0.124100i | 0.998073 | + | 0.0620500i | \(0.0197638\pi\) | ||||
−0.998073 | + | 0.0620500i | \(0.980236\pi\) | |||||||
\(504\) | 23.8377 | − | 22.6600i | 1.06182 | − | 1.00935i | ||||
\(505\) | 4.96424i | 0.220906i | ||||||||
\(506\) | 26.2361 | + | 5.73923i | 1.16634 | + | 0.255140i | ||||
\(507\) | −7.24841 | − | 11.2545i | −0.321913 | − | 0.499829i | ||||
\(508\) | 36.3957 | + | 16.7236i | 1.61480 | + | 0.741991i | ||||
\(509\) | −8.72439 | − | 32.5599i | −0.386702 | − | 1.44319i | −0.835467 | − | 0.549541i | \(-0.814803\pi\) |
0.448765 | − | 0.893650i | \(-0.351864\pi\) | |||||||
\(510\) | −3.14899 | + | 3.81245i | −0.139440 | + | 0.168818i | ||||
\(511\) | 35.2350 | − | 20.3429i | 1.55871 | − | 0.899919i | ||||
\(512\) | −9.18414 | − | 20.6797i | −0.405885 | − | 0.913924i | ||||
\(513\) | −13.6891 | − | 10.1849i | −0.604390 | − | 0.449674i | ||||
\(514\) | 25.5751 | − | 1.18853i | 1.12807 | − | 0.0524237i | ||||
\(515\) | −2.50606 | + | 9.35275i | −0.110430 | + | 0.412131i | ||||
\(516\) | 16.6386 | − | 22.1644i | 0.732473 | − | 0.975735i | ||||
\(517\) | −2.59770 | − | 9.69474i | −0.114247 | − | 0.426374i | ||||
\(518\) | −3.69281 | + | 1.17574i | −0.162253 | + | 0.0516590i | ||||
\(519\) | 3.02099 | − | 13.9531i | 0.132607 | − | 0.612473i | ||||
\(520\) | 4.87917 | + | 6.24905i | 0.213966 | + | 0.274039i | ||||
\(521\) | 12.7253 | 0.557504 | 0.278752 | − | 0.960363i | \(-0.410079\pi\) | ||||
0.278752 | + | 0.960363i | \(0.410079\pi\) | |||||||
\(522\) | 21.1424 | − | 9.07368i | 0.925377 | − | 0.397144i | ||||
\(523\) | −7.32974 | − | 7.32974i | −0.320507 | − | 0.320507i | 0.528454 | − | 0.848962i | \(-0.322772\pi\) |
−0.848962 | + | 0.528454i | \(0.822772\pi\) | |||||||
\(524\) | −3.05768 | + | 17.9286i | −0.133575 | + | 0.783215i | ||||
\(525\) | 10.7756 | − | 20.9520i | 0.470284 | − | 0.914422i | ||||
\(526\) | 3.67942 | − | 7.11677i | 0.160430 | − | 0.310306i | ||||
\(527\) | −6.15236 | + | 10.6562i | −0.268001 | + | 0.464191i | ||||
\(528\) | −15.9678 | + | 8.64327i | −0.694910 | + | 0.376150i | ||||
\(529\) | 14.7537 | + | 25.5542i | 0.641467 | + | 1.11105i | ||||
\(530\) | −11.4523 | + | 0.532213i | −0.497458 | + | 0.0231179i | ||||
\(531\) | −6.52562 | − | 17.3917i | −0.283188 | − | 0.754736i | ||||
\(532\) | 16.2526 | − | 19.5913i | 0.704641 | − | 0.849391i | ||||
\(533\) | −6.20396 | + | 23.1535i | −0.268723 | + | 1.00289i | ||||
\(534\) | −6.98772 | − | 9.81665i | −0.302388 | − | 0.424808i | ||||
\(535\) | 9.24076 | − | 16.0055i | 0.399513 | − | 0.691976i | ||||
\(536\) | −36.1126 | + | 15.3157i | −1.55983 | + | 0.661536i | ||||
\(537\) | 4.96588 | − | 5.47342i | 0.214294 | − | 0.236195i | ||||
\(538\) | 6.09860 | − | 27.8789i | 0.262929 | − | 1.20194i | ||||
\(539\) | 14.8692 | − | 14.8692i | 0.640460 | − | 0.640460i | ||||
\(540\) | 12.6845 | + | 0.294116i | 0.545852 | + | 0.0126568i | ||||
\(541\) | 0.283076 | + | 0.283076i | 0.0121704 | + | 0.0121704i | 0.713166 | − | 0.700995i | \(-0.247261\pi\) |
−0.700995 | + | 0.713166i | \(0.747261\pi\) | |||||||
\(542\) | 0.144732 | + | 0.225783i | 0.00621676 | + | 0.00969821i | ||||
\(543\) | 24.4184 | + | 22.1541i | 1.04789 | + | 0.950725i | ||||
\(544\) | −2.68723 | + | 8.95909i | −0.115214 | + | 0.384118i | ||||
\(545\) | 0.337864 | + | 0.195066i | 0.0144725 | + | 0.00835570i | ||||
\(546\) | −3.61869 | + | 21.4957i | −0.154866 | + | 0.919931i | ||||
\(547\) | 0.947844 | + | 0.253974i | 0.0405269 | + | 0.0108591i | 0.279026 | − | 0.960284i | \(-0.409989\pi\) |
−0.238499 | + | 0.971143i | \(0.576655\pi\) | |||||||
\(548\) | 20.1854 | − | 1.88017i | 0.862278 | − | 0.0803170i | ||||
\(549\) | 3.83122 | − | 23.0597i | 0.163513 | − | 0.984163i | ||||
\(550\) | −8.76042 | + | 9.61433i | −0.373546 | + | 0.409957i | ||||
\(551\) | 15.4211 | − | 8.90339i | 0.656962 | − | 0.379297i | ||||
\(552\) | −33.5174 | − | 11.6946i | −1.42660 | − | 0.497753i | ||||
\(553\) | −30.3773 | − | 17.5383i | −1.29177 | − | 0.745806i | ||||
\(554\) | 10.8778 | − | 3.46334i | 0.462154 | − | 0.147143i | ||||
\(555\) | −1.32953 | − | 0.683771i | −0.0564353 | − | 0.0290244i | ||||
\(556\) | 2.43009 | − | 14.2488i | 0.103059 | − | 0.604282i | ||||
\(557\) | 10.5939 | − | 10.5939i | 0.448877 | − | 0.448877i | −0.446104 | − | 0.894981i | \(-0.647189\pi\) |
0.894981 | + | 0.446104i | \(0.147189\pi\) | |||||||
\(558\) | 31.2478 | − | 4.51822i | 1.32282 | − | 0.191272i | ||||
\(559\) | 18.3685i | 0.776906i | ||||||||
\(560\) | −1.43806 | + | 18.8742i | −0.0607693 | + | 0.797581i | ||||
\(561\) | 7.33554 | + | 1.58822i | 0.309707 | + | 0.0670549i | ||||
\(562\) | −3.86930 | − | 2.00046i | −0.163217 | − | 0.0843841i | ||||
\(563\) | −40.4774 | + | 10.8459i | −1.70592 | + | 0.457099i | −0.974418 | − | 0.224742i | \(-0.927846\pi\) |
−0.731500 | + | 0.681842i | \(0.761179\pi\) | |||||||
\(564\) | 1.87040 | + | 13.1341i | 0.0787579 | + | 0.553044i | ||||
\(565\) | −3.47415 | − | 0.930895i | −0.146158 | − | 0.0391630i | ||||
\(566\) | −7.83253 | + | 8.59599i | −0.329226 | + | 0.361316i | ||||
\(567\) | 22.9476 | + | 26.2742i | 0.963709 | + | 1.10341i | ||||
\(568\) | 30.7629 | − | 4.31371i | 1.29078 | − | 0.180999i | ||||
\(569\) | −18.6572 | − | 32.3152i | −0.782151 | − | 1.35473i | −0.930686 | − | 0.365818i | \(-0.880789\pi\) |
0.148535 | − | 0.988907i | \(-0.452544\pi\) | |||||||
\(570\) | 9.77566 | − | 0.931673i | 0.409458 | − | 0.0390235i | ||||
\(571\) | 22.6439 | − | 6.06741i | 0.947616 | − | 0.253913i | 0.248266 | − | 0.968692i | \(-0.420139\pi\) |
0.699350 | + | 0.714779i | \(0.253473\pi\) | |||||||
\(572\) | 5.02450 | − | 10.9348i | 0.210085 | − | 0.457209i | ||||
\(573\) | −0.380796 | + | 0.245250i | −0.0159080 | + | 0.0102455i | ||||
\(574\) | −48.1806 | + | 30.8848i | −2.01102 | + | 1.28911i | ||||
\(575\) | −25.4300 | −1.06051 | ||||||||
\(576\) | 22.3252 | − | 8.80820i | 0.930218 | − | 0.367008i | ||||
\(577\) | 44.5543 | 1.85482 | 0.927410 | − | 0.374047i | \(-0.122030\pi\) | ||||
0.927410 | + | 0.374047i | \(0.122030\pi\) | |||||||
\(578\) | −16.9851 | + | 10.8878i | −0.706489 | + | 0.452874i | ||||
\(579\) | 1.06234 | + | 0.546355i | 0.0441491 | + | 0.0227057i | ||||
\(580\) | −5.52865 | + | 12.0320i | −0.229565 | + | 0.499602i | ||||
\(581\) | 10.7921 | − | 2.89174i | 0.447733 | − | 0.119970i | ||||
\(582\) | −14.2571 | + | 31.2036i | −0.590974 | + | 1.29343i | ||||
\(583\) | 8.70092 | + | 15.0704i | 0.360355 | + | 0.624153i | ||||
\(584\) | 29.4016 | − | 4.12282i | 1.21665 | − | 0.170603i | ||||
\(585\) | −6.84033 | + | 4.89121i | −0.282813 | + | 0.202227i | ||||
\(586\) | 20.4264 | − | 22.4175i | 0.843808 | − | 0.926057i | ||||
\(587\) | −16.0531 | − | 4.30142i | −0.662584 | − | 0.177539i | −0.0881720 | − | 0.996105i | \(-0.528103\pi\) |
−0.574412 | + | 0.818566i | \(0.694769\pi\) | |||||||
\(588\) | −21.8715 | + | 17.1524i | −0.901964 | + | 0.707354i | ||||
\(589\) | 23.6035 | − | 6.32455i | 0.972567 | − | 0.260599i | ||||
\(590\) | 9.49677 | + | 4.90989i | 0.390976 | + | 0.202137i | ||||
\(591\) | −8.32051 | + | 9.17090i | −0.342260 | + | 0.377241i | ||||
\(592\) | −2.81983 | − | 0.214848i | −0.115894 | − | 0.00883020i | ||||
\(593\) | − | 38.8079i | − | 1.59365i | −0.604211 | − | 0.796824i | \(-0.706512\pi\) | ||
0.604211 | − | 0.796824i | \(-0.293488\pi\) | |||||||
\(594\) | −8.44566 | − | 17.3077i | −0.346529 | − | 0.710145i | ||||
\(595\) | 5.53282 | − | 5.53282i | 0.226824 | − | 0.226824i | ||||
\(596\) | −1.16216 | + | 6.81427i | −0.0476038 | + | 0.279123i | ||||
\(597\) | −0.349765 | − | 7.19415i | −0.0143149 | − | 0.294437i | ||||
\(598\) | 22.4189 | − | 7.13786i | 0.916777 | − | 0.291889i | ||||
\(599\) | −1.76012 | − | 1.01621i | −0.0719165 | − | 0.0415210i | 0.463611 | − | 0.886039i | \(-0.346554\pi\) |
−0.535527 | + | 0.844518i | \(0.679887\pi\) | |||||||
\(600\) | 13.0215 | − | 11.2262i | 0.531599 | − | 0.458307i | ||||
\(601\) | 14.9323 | − | 8.62115i | 0.609100 | − | 0.351664i | −0.163513 | − | 0.986541i | \(-0.552283\pi\) |
0.772613 | + | 0.634877i | \(0.218949\pi\) | |||||||
\(602\) | −29.5375 | + | 32.4166i | −1.20386 | + | 1.32120i | ||||
\(603\) | −14.6160 | − | 38.9538i | −0.595211 | − | 1.58632i | ||||
\(604\) | −0.933751 | + | 0.0869744i | −0.0379938 | + | 0.00353894i | ||||
\(605\) | 4.87249 | + | 1.30558i | 0.198095 | + | 0.0530794i | ||||
\(606\) | −9.33248 | + | 3.47891i | −0.379106 | + | 0.141321i | ||||
\(607\) | −10.3001 | − | 5.94674i | −0.418066 | − | 0.241371i | 0.276183 | − | 0.961105i | \(-0.410930\pi\) |
−0.694250 | + | 0.719734i | \(0.744264\pi\) | |||||||
\(608\) | 16.3544 | − | 8.80731i | 0.663260 | − | 0.357183i | ||||
\(609\) | −34.6668 | + | 11.1192i | −1.40477 | + | 0.450574i | ||||
\(610\) | 7.26039 | + | 11.3263i | 0.293964 | + | 0.458588i | ||||
\(611\) | −6.21739 | − | 6.21739i | −0.251529 | − | 0.251529i | ||||
\(612\) | −9.37399 | − | 3.24818i | −0.378921 | − | 0.131300i | ||||
\(613\) | −3.45525 | + | 3.45525i | −0.139556 | + | 0.139556i | −0.773434 | − | 0.633877i | \(-0.781462\pi\) |
0.633877 | + | 0.773434i | \(0.281462\pi\) | |||||||
\(614\) | −6.25929 | + | 28.6135i | −0.252604 | + | 1.15475i | ||||
\(615\) | −21.5778 | − | 4.67183i | −0.870101 | − | 0.188386i | ||||
\(616\) | 26.4510 | − | 11.2181i | 1.06574 | − | 0.451989i | ||||
\(617\) | 20.6596 | − | 35.7835i | 0.831725 | − | 1.44059i | −0.0649443 | − | 0.997889i | \(-0.520687\pi\) |
0.896669 | − | 0.442701i | \(-0.145980\pi\) | |||||||
\(618\) | −19.3389 | + | 1.84310i | −0.777923 | + | 0.0741402i | ||||
\(619\) | 3.19640 | − | 11.9291i | 0.128474 | − | 0.479471i | −0.871466 | − | 0.490456i | \(-0.836830\pi\) |
0.999940 | + | 0.0109851i | \(0.00349673\pi\) | |||||||
\(620\) | −11.6019 | + | 13.9852i | −0.465944 | + | 0.561661i | ||||
\(621\) | 13.8912 | − | 34.9963i | 0.557433 | − | 1.40435i | ||||
\(622\) | 0.394859 | − | 0.0183499i | 0.0158324 | − | 0.000735764i | ||||
\(623\) | 9.53365 | + | 16.5128i | 0.381958 | + | 0.661570i | ||||
\(624\) | −8.32857 | + | 13.5519i | −0.333410 | + | 0.542508i | ||||
\(625\) | 2.43160 | − | 4.21165i | 0.0972639 | − | 0.168466i | ||||
\(626\) | −6.13176 | + | 11.8601i | −0.245075 | + | 0.474026i | ||||
\(627\) | −8.07072 | − | 12.5313i | −0.322313 | − | 0.500451i | ||||
\(628\) | 2.18444 | − | 12.8084i | 0.0871685 | − | 0.511110i | ||||
\(629\) | 0.826608 | + | 0.826608i | 0.0329590 | + | 0.0329590i | ||||
\(630\) | −19.9371 | − | 2.36762i | −0.794312 | − | 0.0943284i | ||||
\(631\) | −21.4353 | −0.853326 | −0.426663 | − | 0.904411i | \(-0.640311\pi\) | ||||
−0.426663 | + | 0.904411i | \(0.640311\pi\) | |||||||
\(632\) | −15.7523 | − | 20.1749i | −0.626592 | − | 0.802515i | ||||
\(633\) | 14.1518 | − | 4.53912i | 0.562483 | − | 0.180414i | ||||
\(634\) | −41.2852 | + | 13.1446i | −1.63964 | + | 0.522040i | ||||
\(635\) | −6.32833 | − | 23.6177i | −0.251132 | − | 0.937238i | ||||
\(636\) | −9.02626 | − | 21.1568i | −0.357914 | − | 0.838921i | ||||
\(637\) | 4.76792 | − | 17.7941i | 0.188912 | − | 0.705028i | ||||
\(638\) | 20.0770 | − | 0.933018i | 0.794856 | − | 0.0369385i | ||||
\(639\) | 3.19620 | + | 32.7929i | 0.126440 | + | 1.29727i | ||||
\(640\) | −6.13623 | + | 12.3750i | −0.242556 | + | 0.489164i | ||||
\(641\) | −40.1623 | + | 23.1877i | −1.58631 | + | 0.915859i | −0.592407 | + | 0.805639i | \(0.701822\pi\) |
−0.993907 | + | 0.110220i | \(0.964844\pi\) | |||||||
\(642\) | 36.5652 | + | 6.15556i | 1.44311 | + | 0.242941i | ||||
\(643\) | −4.94288 | − | 18.4471i | −0.194928 | − | 0.727482i | −0.992285 | − | 0.123974i | \(-0.960436\pi\) |
0.797357 | − | 0.603508i | \(-0.206231\pi\) | |||||||
\(644\) | 51.0427 | + | 23.4538i | 2.01136 | + | 0.924211i | ||||
\(645\) | −16.8984 | + | 0.821564i | −0.665372 | + | 0.0323491i | ||||
\(646\) | −7.50097 | − | 1.64086i | −0.295122 | − | 0.0645589i | ||||
\(647\) | 45.8797i | 1.80372i | 0.432033 | + | 0.901858i | \(0.357797\pi\) | ||||
−0.432033 | + | 0.901858i | \(0.642203\pi\) | |||||||
\(648\) | 8.33627 | + | 24.0522i | 0.327479 | + | 0.944858i | ||||
\(649\) | − | 16.2273i | − | 0.636978i | ||||||
\(650\) | −2.43506 | + | 11.1316i | −0.0955111 | + | 0.436616i | ||||
\(651\) | −49.9015 | + | 2.42611i | −1.95579 | + | 0.0950867i | ||||
\(652\) | −10.6043 | − | 28.6343i | −0.415298 | − | 1.12140i | ||||
\(653\) | 9.78101 | + | 36.5032i | 0.382761 | + | 1.42848i | 0.841667 | + | 0.539997i | \(0.181575\pi\) |
−0.458906 | + | 0.888485i | \(0.651759\pi\) | |||||||
\(654\) | −0.129940 | + | 0.771866i | −0.00508104 | + | 0.0301823i | ||||
\(655\) | 9.61502 | − | 5.55123i | 0.375690 | − | 0.216905i | ||||
\(656\) | −41.0432 | + | 7.71287i | −1.60247 | + | 0.301137i | ||||
\(657\) | 3.05476 | + | 31.3417i | 0.119178 | + | 1.22276i | ||||
\(658\) | −0.974531 | − | 20.9703i | −0.0379912 | − | 0.817507i | ||||
\(659\) | −8.01748 | + | 29.9216i | −0.312317 | + | 1.16558i | 0.614145 | + | 0.789193i | \(0.289501\pi\) |
−0.926462 | + | 0.376388i | \(0.877166\pi\) | |||||||
\(660\) | 10.2844 | + | 4.13327i | 0.400319 | + | 0.160887i | ||||
\(661\) | −9.93628 | − | 37.0827i | −0.386476 | − | 1.44235i | −0.835827 | − | 0.548994i | \(-0.815011\pi\) |
0.449350 | − | 0.893356i | \(-0.351656\pi\) | |||||||
\(662\) | −11.6062 | − | 36.4531i | −0.451086 | − | 1.41679i | ||||
\(663\) | 6.26105 | − | 2.00821i | 0.243159 | − | 0.0779922i | ||||
\(664\) | 8.09195 | + | 0.996117i | 0.314028 | + | 0.0386568i | ||||
\(665\) | −15.5390 | −0.602577 | ||||||||
\(666\) | 0.353725 | − | 2.97862i | 0.0137066 | − | 0.115419i | ||||
\(667\) | 27.7858 | + | 27.7858i | 1.07587 | + | 1.07587i | ||||
\(668\) | −10.9466 | + | 7.75680i | −0.423538 | + | 0.300120i | ||||
\(669\) | 11.3461 | + | 17.6170i | 0.438667 | + | 0.681111i | ||||
\(670\) | 21.2708 | + | 10.9971i | 0.821762 | + | 0.424856i | ||||
\(671\) | 10.2103 | − | 17.6848i | 0.394165 | − | 0.682713i | ||||
\(672\) | −36.4902 | + | 10.5235i | −1.40764 | + | 0.405951i | ||||
\(673\) | −8.24767 | − | 14.2854i | −0.317924 | − | 0.550661i | 0.662131 | − | 0.749389i | \(-0.269652\pi\) |
−0.980055 | + | 0.198728i | \(0.936319\pi\) | |||||||
\(674\) | −0.949666 | − | 20.4352i | −0.0365798 | − | 0.787136i | ||||
\(675\) | 11.3145 | + | 14.3009i | 0.435497 | + | 0.550441i | ||||
\(676\) | 1.43359 | + | 15.3910i | 0.0551382 | + | 0.591960i | ||||
\(677\) | −10.7252 | + | 40.0270i | −0.412203 | + | 1.53836i | 0.378169 | + | 0.925737i | \(0.376554\pi\) |
−0.790372 | + | 0.612627i | \(0.790113\pi\) | |||||||
\(678\) | −0.684631 | − | 7.18356i | −0.0262931 | − | 0.275883i | ||||
\(679\) | 27.1431 | − | 47.0132i | 1.04166 | − | 1.80420i | ||||
\(680\) | 5.25655 | − | 2.22935i | 0.201579 | − | 0.0854915i | ||||
\(681\) | −21.9601 | − | 4.75459i | −0.841512 | − | 0.182196i | ||||
\(682\) | 26.9442 | + | 5.89413i | 1.03175 | + | 0.225698i | ||||
\(683\) | 6.62321 | − | 6.62321i | 0.253430 | − | 0.253430i | −0.568945 | − | 0.822375i | \(-0.692648\pi\) |
0.822375 | + | 0.568945i | \(0.192648\pi\) | |||||||
\(684\) | 8.60221 | + | 17.7248i | 0.328914 | + | 0.677724i | ||||
\(685\) | −8.75075 | − | 8.75075i | −0.334349 | − | 0.334349i | ||||
\(686\) | 4.72443 | − | 3.02846i | 0.180380 | − | 0.115627i | ||||
\(687\) | 10.8819 | − | 3.49031i | 0.415169 | − | 0.133164i | ||||
\(688\) | −28.8502 | + | 13.8493i | −1.09991 | + | 0.528000i | ||||
\(689\) | 13.2025 | + | 7.62248i | 0.502976 | + | 0.290393i | ||||
\(690\) | 7.56928 | + | 20.3053i | 0.288157 | + | 0.773008i | ||||
\(691\) | −22.8153 | − | 6.11334i | −0.867935 | − | 0.232562i | −0.202740 | − | 0.979233i | \(-0.564985\pi\) |
−0.665194 | + | 0.746670i | \(0.731651\pi\) | |||||||
\(692\) | −10.5253 | + | 12.6875i | −0.400112 | + | 0.482305i | ||||
\(693\) | 10.7056 | + | 28.5320i | 0.406673 | + | 1.08384i | ||||
\(694\) | 11.0715 | + | 10.0882i | 0.420268 | + | 0.382941i | ||||
\(695\) | −7.64154 | + | 4.41184i | −0.289860 | + | 0.167351i | ||||
\(696\) | −26.4939 | − | 1.96158i | −1.00425 | − | 0.0743534i | ||||
\(697\) | 14.9501 | + | 8.63144i | 0.566275 | + | 0.326939i | ||||
\(698\) | −0.283593 | − | 0.890721i | −0.0107341 | − | 0.0337143i | ||||
\(699\) | −0.596766 | − | 12.2746i | −0.0225718 | − | 0.464267i | ||||
\(700\) | −22.1975 | + | 15.7292i | −0.838985 | + | 0.594507i | ||||
\(701\) | −5.24880 | + | 5.24880i | −0.198245 | + | 0.198245i | −0.799247 | − | 0.601003i | \(-0.794768\pi\) |
0.601003 | + | 0.799247i | \(0.294768\pi\) | |||||||
\(702\) | −13.9889 | − | 9.43170i | −0.527975 | − | 0.355977i | ||||
\(703\) | − | 2.32154i | − | 0.0875586i | ||||||
\(704\) | 20.9630 | − | 0.352884i | 0.790071 | − | 0.0132998i | ||||
\(705\) | 5.44168 | − | 5.99785i | 0.204946 | − | 0.225892i | ||||
\(706\) | −6.41550 | + | 12.4089i | −0.241450 | + | 0.467016i | ||||
\(707\) | 15.2233 | − | 4.07907i | 0.572531 | − | 0.153409i | ||||
\(708\) | −2.57504 | + | 21.2942i | −0.0967759 | + | 0.800285i | ||||
\(709\) | 5.03953 | + | 1.35034i | 0.189263 | + | 0.0507130i | 0.352206 | − | 0.935923i | \(-0.385432\pi\) |
−0.162942 | + | 0.986636i | \(0.552098\pi\) | |||||||
\(710\) | −14.0167 | − | 12.7718i | −0.526039 | − | 0.479318i | ||||
\(711\) | 22.0838 | − | 15.7911i | 0.828209 | − | 0.592214i | ||||
\(712\) | 1.93214 | + | 13.7790i | 0.0724102 | + | 0.516389i | ||||
\(713\) | 26.9623 | + | 46.7001i | 1.00975 | + | 1.74893i | ||||
\(714\) | 14.2787 | + | 6.52402i | 0.534369 | + | 0.244155i | ||||
\(715\) | −7.09577 | + | 1.90131i | −0.265367 | + | 0.0711048i | ||||
\(716\) | −8.00257 | + | 2.96365i | −0.299070 | + | 0.110757i | ||||
\(717\) | 25.7455 | + | 13.2408i | 0.961485 | + | 0.494488i | ||||
\(718\) | 24.0033 | + | 37.4454i | 0.895794 | + | 1.39745i | ||||
\(719\) | −37.6412 | −1.40378 | −0.701889 | − | 0.712286i | \(-0.747660\pi\) | ||||
−0.701889 | + | 0.712286i | \(0.747660\pi\) | |||||||
\(720\) | −12.8397 | − | 7.05583i | −0.478507 | − | 0.262955i | ||||
\(721\) | 30.7403 | 1.14483 | ||||||||
\(722\) | −6.27168 | − | 9.78389i | −0.233408 | − | 0.364119i | ||||
\(723\) | 38.7758 | − | 24.9734i | 1.44209 | − | 0.928771i | ||||
\(724\) | −13.2216 | − | 35.7016i | −0.491379 | − | 1.32684i | ||||
\(725\) | −18.3826 | + | 4.92561i | −0.682714 | + | 0.182933i | ||||
\(726\) | 0.960196 | + | 10.0750i | 0.0356362 | + | 0.373917i | ||||
\(727\) | 3.14610 | + | 5.44920i | 0.116682 | + | 0.202100i | 0.918451 | − | 0.395535i | \(-0.129441\pi\) |
−0.801769 | + | 0.597634i | \(0.796107\pi\) | |||||||
\(728\) | 15.1541 | − | 20.0972i | 0.561650 | − | 0.744853i | ||||
\(729\) | −25.8611 | + | 7.75895i | −0.957820 | + | 0.287369i | ||||
\(730\) | −13.3965 | − | 12.2067i | −0.495826 | − | 0.451788i | ||||
\(731\) | 12.7779 | + | 3.42382i | 0.472607 | + | 0.126635i | ||||
\(732\) | −16.2047 | + | 21.5865i | −0.598944 | + | 0.797860i | ||||
\(733\) | −31.5136 | + | 8.44405i | −1.16398 | + | 0.311888i | −0.788555 | − | 0.614964i | \(-0.789171\pi\) |
−0.375427 | + | 0.926852i | \(0.622504\pi\) | |||||||
\(734\) | 1.70960 | − | 3.30673i | 0.0631025 | − | 0.122054i | ||||
\(735\) | 16.5832 | + | 3.59043i | 0.611679 | + | 0.132435i | ||||
\(736\) | 28.1141 | + | 29.8301i | 1.03630 | + | 1.09955i | ||||
\(737\) | − | 36.3458i | − | 1.33882i | ||||||
\(738\) | −6.33883 | − | 43.8390i | −0.233335 | − | 1.61374i | ||||
\(739\) | 0.850912 | − | 0.850912i | 0.0313013 | − | 0.0313013i | −0.691283 | − | 0.722584i | \(-0.742954\pi\) |
0.722584 | + | 0.691283i | \(0.242954\pi\) | |||||||
\(740\) | 0.998106 | + | 1.40856i | 0.0366911 | + | 0.0517795i | ||||
\(741\) | −11.6122 | − | 5.97209i | −0.426584 | − | 0.219390i | ||||
\(742\) | 11.0424 | + | 34.6824i | 0.405378 | + | 1.27323i | ||||
\(743\) | 25.4064 | + | 14.6684i | 0.932070 | + | 0.538131i | 0.887466 | − | 0.460874i | \(-0.152464\pi\) |
0.0446046 | + | 0.999005i | \(0.485797\pi\) | |||||||
\(744\) | −34.4220 | − | 12.0102i | −1.26197 | − | 0.440314i | ||||
\(745\) | 3.65445 | − | 2.10990i | 0.133889 | − | 0.0773007i | ||||
\(746\) | −25.1436 | − | 22.9104i | −0.920573 | − | 0.838811i | ||||
\(747\) | −1.41732 | + | 8.53065i | −0.0518568 | + | 0.312120i | ||||
\(748\) | −6.67016 | − | 5.53346i | −0.243885 | − | 0.202323i | ||||
\(749\) | −56.6753 | − | 15.1861i | −2.07087 | − | 0.554888i | ||||
\(750\) | −25.0948 | − | 4.22459i | −0.916334 | − | 0.154260i | ||||
\(751\) | 17.8715 | + | 10.3181i | 0.652141 | + | 0.376514i | 0.789276 | − | 0.614038i | \(-0.210456\pi\) |
−0.137135 | + | 0.990552i | \(0.543789\pi\) | |||||||
\(752\) | 5.07752 | − | 14.4530i | 0.185158 | − | 0.527046i | ||||
\(753\) | 22.8228 | + | 20.7065i | 0.831710 | + | 0.754587i | ||||
\(754\) | 14.8234 | − | 9.50213i | 0.539837 | − | 0.346047i | ||||
\(755\) | 0.404798 | + | 0.404798i | 0.0147321 | + | 0.0147321i | ||||
\(756\) | −9.52077 | − | 39.1398i | −0.346267 | − | 1.42350i | ||||
\(757\) | −38.7488 | + | 38.7488i | −1.40835 | + | 1.40835i | −0.639847 | + | 0.768502i | \(0.721002\pi\) |
−0.768502 | + | 0.639847i | \(0.778998\pi\) | |||||||
\(758\) | 16.8002 | + | 3.67509i | 0.610210 | + | 0.133485i | ||||
\(759\) | 22.1015 | − | 24.3604i | 0.802235 | − | 0.884228i | ||||
\(760\) | −10.5121 | − | 4.25097i | −0.381315 | − | 0.154199i | ||||
\(761\) | 6.22122 | − | 10.7755i | 0.225519 | − | 0.390611i | −0.730956 | − | 0.682425i | \(-0.760925\pi\) |
0.956475 | + | 0.291814i | \(0.0942588\pi\) | |||||||
\(762\) | 39.9650 | − | 28.4480i | 1.44778 | − | 1.03056i | ||||
\(763\) | 0.320568 | − | 1.19638i | 0.0116053 | − | 0.0433117i | ||||
\(764\) | 0.520754 | − | 0.0485057i | 0.0188402 | − | 0.00175487i | ||||
\(765\) | 2.12751 | + | 5.67011i | 0.0769202 | + | 0.205003i | ||||
\(766\) | −0.818643 | − | 17.6158i | −0.0295788 | − | 0.636486i | ||||
\(767\) | −7.10801 | − | 12.3114i | −0.256655 | − | 0.444540i | ||||
\(768\) | −27.5645 | − | 2.86344i | −0.994648 | − | 0.103326i | ||||
\(769\) | −9.70125 | + | 16.8031i | −0.349836 | + | 0.605934i | −0.986220 | − | 0.165438i | \(-0.947096\pi\) |
0.636384 | + | 0.771372i | \(0.280429\pi\) | |||||||
\(770\) | −15.5799 | − | 8.05494i | −0.561462 | − | 0.290280i | ||||
\(771\) | 14.3412 | − | 27.8851i | 0.516486 | − | 1.00426i | ||||
\(772\) | −0.797519 | − | 1.12548i | −0.0287033 | − | 0.0405070i | ||||
\(773\) | 29.9097 | + | 29.9097i | 1.07578 | + | 1.07578i | 0.996883 | + | 0.0788954i | \(0.0251393\pi\) |
0.0788954 | + | 0.996883i | \(0.474861\pi\) | |||||||
\(774\) | −13.3868 | − | 31.1922i | −0.481177 | − | 1.12118i | ||||
\(775\) | −26.1163 | −0.938126 | ||||||||
\(776\) | 31.2235 | − | 24.3789i | 1.12086 | − | 0.875151i | ||||
\(777\) | −1.00439 | + | 4.63897i | −0.0360321 | + | 0.166422i | ||||
\(778\) | 5.60876 | + | 17.6162i | 0.201084 | + | 0.631573i | ||||
\(779\) | −8.87301 | − | 33.1145i | −0.317909 | − | 1.18645i | ||||
\(780\) | 9.61308 | − | 1.36898i | 0.344204 | − | 0.0490174i | ||||
\(781\) | −7.44957 | + | 27.8022i | −0.266567 | + | 0.994840i | ||||
\(782\) | −0.786582 | − | 16.9259i | −0.0281281 | − | 0.605270i | ||||
\(783\) | 3.26300 | − | 27.9884i | 0.116610 | − | 1.00022i | ||||
\(784\) | 31.5429 | − | 5.92756i | 1.12653 | − | 0.211699i | ||||
\(785\) | −6.86906 | + | 3.96585i | −0.245167 | + | 0.141547i | ||||
\(786\) | 17.1741 | + | 14.1854i | 0.612581 | + | 0.505977i | ||||
\(787\) | 3.02137 | + | 11.2759i | 0.107700 | + | 0.401942i | 0.998637 | − | 0.0521839i | \(-0.0166182\pi\) |
−0.890937 | + | 0.454126i | \(0.849952\pi\) | |||||||
\(788\) | 13.4086 | − | 4.96570i | 0.477661 | − | 0.176896i | ||||
\(789\) | −5.31297 | − | 8.24937i | −0.189147 | − | 0.293685i | ||||
\(790\) | −3.33907 | + | 15.2641i | −0.118799 | + | 0.543072i | ||||
\(791\) | 11.4187i | 0.406002i | ||||||||
\(792\) | −0.563091 | + | 22.2306i | −0.0200086 | + | 0.789930i | ||||
\(793\) | − | 17.8896i | − | 0.635277i | ||||||
\(794\) | −3.70543 | − | 0.810574i | −0.131501 | − | 0.0287662i | ||||
\(795\) | −6.42188 | + | 12.4867i | −0.227761 | + | 0.442859i | ||||
\(796\) | −3.47253 | + | 7.55728i | −0.123080 | + | 0.267861i | ||||
\(797\) | 7.63006 | + | 28.4758i | 0.270271 | + | 1.00866i | 0.958945 | + | 0.283593i | \(0.0915264\pi\) |
−0.688674 | + | 0.725071i | \(0.741807\pi\) | |||||||
\(798\) | −10.8896 | − | 29.2124i | −0.385489 | − | 1.03411i | ||||
\(799\) | −5.48396 | + | 3.16617i | −0.194009 | + | 0.112011i | ||||
\(800\) | −19.3196 | + | 4.56826i | −0.683049 | + | 0.161512i | ||||
\(801\) | −14.6882 | + | 1.43160i | −0.518982 | + | 0.0505833i | ||||
\(802\) | −12.6236 | + | 0.586643i | −0.445754 | + | 0.0207151i | ||||
\(803\) | −7.11992 | + | 26.5719i | −0.251256 | + | 0.937702i | ||||
\(804\) | −5.76755 | + | 47.6945i | −0.203406 | + | 1.68206i | ||||
\(805\) | −8.87509 | − | 33.1223i | −0.312806 | − | 1.16741i | ||||
\(806\) | 23.0239 | − | 7.33049i | 0.810984 | − | 0.258206i | ||||
\(807\) | −25.8857 | − | 23.4854i | −0.911222 | − | 0.826726i | ||||
\(808\) | 11.4145 | + | 1.40512i | 0.401559 | + | 0.0494319i | ||||
\(809\) | 20.9519 | 0.736631 | 0.368316 | − | 0.929701i | \(-0.379935\pi\) | ||||
0.368316 | + | 0.929701i | \(0.379935\pi\) | |||||||
\(810\) | 8.05113 | − | 13.2911i | 0.282888 | − | 0.467000i | ||||
\(811\) | 20.4725 | + | 20.4725i | 0.718886 | + | 0.718886i | 0.968377 | − | 0.249491i | \(-0.0802635\pi\) |
−0.249491 | + | 0.968377i | \(0.580263\pi\) | |||||||
\(812\) | 41.4401 | + | 7.06751i | 1.45426 | + | 0.248021i | ||||
\(813\) | 0.328075 | − | 0.0159504i | 0.0115061 | − | 0.000559404i | ||||
\(814\) | 1.20341 | − | 2.32766i | 0.0421797 | − | 0.0815844i | ||||
\(815\) | −9.31991 | + | 16.1426i | −0.326462 | + | 0.565449i | ||||
\(816\) | 7.87480 | + | 8.31969i | 0.275673 | + | 0.291248i | ||||
\(817\) | −13.1355 | − | 22.7514i | −0.459553 | − | 0.795970i | ||||
\(818\) | 8.38600 | − | 0.389714i | 0.293209 | − | 0.0136260i | ||||
\(819\) | 20.6200 | + | 16.9575i | 0.720521 | + | 0.592542i | ||||
\(820\) | 19.6206 | + | 16.2769i | 0.685180 | + | 0.568414i | ||||
\(821\) | 0.747963 | − | 2.79144i | 0.0261041 | − | 0.0974218i | −0.951645 | − | 0.307201i | \(-0.900608\pi\) |
0.977749 | + | 0.209779i | \(0.0672744\pi\) | |||||||
\(822\) | 10.3184 | − | 22.5834i | 0.359897 | − | 0.787686i | ||||
\(823\) | −19.7347 | + | 34.1816i | −0.687909 | + | 1.19149i | 0.284604 | + | 0.958645i | \(0.408138\pi\) |
−0.972513 | + | 0.232849i | \(0.925195\pi\) | |||||||
\(824\) | 20.7958 | + | 8.40955i | 0.724455 | + | 0.292961i | ||||
\(825\) | 4.86539 | + | 15.1690i | 0.169391 | + | 0.528117i | ||||
\(826\) | 7.25323 | − | 33.1571i | 0.252372 | − | 1.15368i | ||||
\(827\) | −39.7044 | + | 39.7044i | −1.38066 | + | 1.38066i | −0.537211 | + | 0.843448i | \(0.680522\pi\) |
−0.843448 | + | 0.537211i | \(0.819478\pi\) | |||||||
\(828\) | −32.8682 | + | 28.4596i | −1.14225 | + | 0.989040i | ||||
\(829\) | −34.2723 | − | 34.2723i | −1.19033 | − | 1.19033i | −0.976975 | − | 0.213352i | \(-0.931562\pi\) |
−0.213352 | − | 0.976975i | \(-0.568438\pi\) | |||||||
\(830\) | −2.68589 | − | 4.19002i | −0.0932287 | − | 0.145438i | ||||
\(831\) | 2.95860 | − | 13.6649i | 0.102633 | − | 0.474030i | ||||
\(832\) | 15.7497 | − | 9.45007i | 0.546023 | − | 0.327622i | ||||
\(833\) | −11.4896 | − | 6.63350i | −0.398090 | − | 0.229837i | ||||
\(834\) | −13.6491 | − | 11.2739i | −0.472631 | − | 0.390382i | ||||
\(835\) | 7.91084 | + | 2.11970i | 0.273766 | + | 0.0733554i | ||||
\(836\) | 1.59623 | + | 17.1370i | 0.0552068 | + | 0.592696i | ||||
\(837\) | 14.2661 | − | 35.9407i | 0.493107 | − | 1.24229i | ||||
\(838\) | −30.2438 | + | 33.1917i | −1.04475 | + | 1.14659i | ||||
\(839\) | 7.72719 | − | 4.46130i | 0.266772 | − | 0.154021i | −0.360648 | − | 0.932702i | \(-0.617444\pi\) |
0.627420 | + | 0.778681i | \(0.284111\pi\) | |||||||
\(840\) | 19.1665 | + | 13.0423i | 0.661306 | + | 0.450004i | ||||
\(841\) | 0.352787 | + | 0.203682i | 0.0121651 | + | 0.00702351i | ||||
\(842\) | −23.8557 | + | 7.59532i | −0.822123 | + | 0.261752i | ||||
\(843\) | −4.48508 | + | 2.88860i | −0.154475 | + | 0.0994888i | ||||
\(844\) | −16.9168 | − | 2.88512i | −0.582300 | − | 0.0993099i | ||||
\(845\) | 6.67227 | − | 6.67227i | 0.229533 | − | 0.229533i | ||||
\(846\) | 15.0891 | + | 6.02679i | 0.518774 | + | 0.207205i | ||||
\(847\) | − | 16.0147i | − | 0.550273i | ||||||
\(848\) | −2.01782 | + | 26.4834i | −0.0692924 | + | 0.909444i | ||||
\(849\) | 4.35005 | + | 13.5623i | 0.149293 | + | 0.465457i | ||||
\(850\) | 7.28966 | + | 3.76881i | 0.250033 | + | 0.129269i | ||||
\(851\) | 4.94850 | − | 1.32595i | 0.169632 | − | 0.0454529i | ||||
\(852\) | 14.1874 | − | 35.3011i | 0.486054 | − | 1.20940i | ||||
\(853\) | −26.1333 | − | 7.00239i | −0.894786 | − | 0.239757i | −0.218010 | − | 0.975946i | \(-0.569957\pi\) |
−0.676776 | + | 0.736189i | \(0.736623\pi\) | |||||||
\(854\) | 28.7673 | − | 31.5714i | 0.984397 | − | 1.08035i | ||||
\(855\) | 4.97472 | − | 10.9499i | 0.170132 | − | 0.374477i | ||||
\(856\) | −34.1863 | − | 25.7779i | −1.16846 | − | 0.881071i | ||||
\(857\) | −24.0832 | − | 41.7133i | −0.822666 | − | 1.42490i | −0.903690 | − | 0.428187i | \(-0.859153\pi\) |
0.0810244 | − | 0.996712i | \(-0.474181\pi\) | |||||||
\(858\) | −8.54702 | − | 12.0072i | −0.291790 | − | 0.409920i | ||||
\(859\) | 28.0522 | − | 7.51656i | 0.957128 | − | 0.256462i | 0.253744 | − | 0.967271i | \(-0.418338\pi\) |
0.703384 | + | 0.710810i | \(0.251671\pi\) | |||||||
\(860\) | 17.7513 | + | 8.15663i | 0.605314 | + | 0.278139i | ||||
\(861\) | 3.40370 | + | 70.0091i | 0.115998 | + | 2.38591i | ||||
\(862\) | 24.6670 | − | 15.8120i | 0.840160 | − | 0.538560i | ||||
\(863\) | −10.5561 | −0.359334 | −0.179667 | − | 0.983728i | \(-0.557502\pi\) | ||||
−0.179667 | + | 0.983728i | \(0.557502\pi\) | |||||||
\(864\) | 4.26658 | − | 29.0826i | 0.145152 | − | 0.989409i | ||||
\(865\) | 10.0632 | 0.342158 | ||||||||
\(866\) | 11.6524 | − | 7.46941i | 0.395963 | − | 0.253821i | ||||
\(867\) | 1.19991 | + | 24.6804i | 0.0407511 | + | 0.838189i | ||||
\(868\) | 52.4202 | + | 24.0868i | 1.77926 | + | 0.817560i | ||||
\(869\) | 22.9085 | − | 6.13832i | 0.777118 | − | 0.208228i | ||||
\(870\) | 9.40460 | + | 13.2120i | 0.318846 | + | 0.447928i | ||||
\(871\) | −15.9205 | − | 27.5750i | −0.539444 | − | 0.934344i | ||||
\(872\) | 0.544154 | − | 0.721650i | 0.0184274 | − | 0.0244381i | ||||
\(873\) | 24.4390 | + | 34.1779i | 0.827136 | + | 1.15675i | ||||
\(874\) | −22.6638 | + | 24.8729i | −0.766615 | + | 0.841340i | ||||
\(875\) | 38.8965 | + | 10.4223i | 1.31494 | + | 0.352337i | ||||
\(876\) | 13.5596 | − | 33.7390i | 0.458137 | − | 1.13993i | ||||
\(877\) | −6.20335 | + | 1.66218i | −0.209472 | + | 0.0561279i | −0.362029 | − | 0.932167i | \(-0.617916\pi\) |
0.152557 | + | 0.988295i | \(0.451249\pi\) | |||||||
\(878\) | −26.8809 | − | 13.8976i | −0.907186 | − | 0.469021i | ||||
\(879\) | −11.3445 | − | 35.3691i | −0.382640 | − | 1.19297i | ||||
\(880\) | −8.33625 | − | 9.71133i | −0.281015 | − | 0.327369i | ||||
\(881\) | − | 30.8423i | − | 1.03910i | −0.854439 | − | 0.519552i | \(-0.826099\pi\) | ||
0.854439 | − | 0.519552i | \(-0.173901\pi\) | |||||||
\(882\) | 4.87157 | + | 33.6915i | 0.164034 | + | 1.13445i | ||||
\(883\) | −0.0570127 | + | 0.0570127i | −0.00191863 | + | 0.00191863i | −0.708065 | − | 0.706147i | \(-0.750432\pi\) |
0.706147 | + | 0.708065i | \(0.250432\pi\) | |||||||
\(884\) | −7.48436 | − | 1.27644i | −0.251726 | − | 0.0429313i | ||||
\(885\) | 11.0081 | − | 7.08975i | 0.370034 | − | 0.238319i | ||||
\(886\) | −32.1663 | + | 10.2413i | −1.08065 | + | 0.344063i | ||||
\(887\) | −29.6650 | − | 17.1271i | −0.996055 | − | 0.575072i | −0.0889760 | − | 0.996034i | \(-0.528359\pi\) |
−0.907079 | + | 0.420961i | \(0.861693\pi\) | |||||||
\(888\) | −1.94854 | + | 2.86349i | −0.0653886 | + | 0.0960924i | ||||
\(889\) | −67.2258 | + | 38.8128i | −2.25468 | + | 1.30174i | ||||
\(890\) | 5.72060 | − | 6.27821i | 0.191755 | − | 0.210446i | ||||
\(891\) | −23.5330 | − | 1.59043i | −0.788385 | − | 0.0532814i | ||||
\(892\) | −2.24405 | − | 24.0919i | −0.0751362 | − | 0.806657i | ||||
\(893\) | 12.1470 | + | 3.25478i | 0.406484 | + | 0.108917i | ||||
\(894\) | 6.52751 | + | 5.39156i | 0.218312 | + | 0.180321i | ||||
\(895\) | 4.51145 | + | 2.60468i | 0.150801 | + | 0.0870650i | ||||
\(896\) | 42.9911 | + | 8.64890i | 1.43623 | + | 0.288939i | ||||
\(897\) | 6.09758 | − | 28.1630i | 0.203592 | − | 0.940334i | ||||
\(898\) | −13.1864 | − | 20.5709i | −0.440036 | − | 0.686461i | ||||
\(899\) | 28.5357 | + | 28.5357i | 0.951720 | + | 0.951720i | ||||
\(900\) | −3.97748 | − | 20.6775i | −0.132583 | − | 0.689249i | ||||
\(901\) | 7.76339 | − | 7.76339i | 0.258636 | − | 0.258636i | ||||
\(902\) | 8.26915 | − | 37.8013i | 0.275333 | − | 1.25864i | ||||
\(903\) | 16.4046 | + | 51.1453i | 0.545912 | + | 1.70201i | ||||
\(904\) | −3.12379 | + | 7.72474i | −0.103896 | + | 0.256921i | ||||
\(905\) | −11.6202 | + | 20.1268i | −0.386269 | + | 0.669037i | ||||
\(906\) | −0.477317 | + | 1.04468i | −0.0158578 | + | 0.0347071i | ||||
\(907\) | −1.17997 | + | 4.40372i | −0.0391804 | + | 0.146223i | −0.982745 | − | 0.184965i | \(-0.940783\pi\) |
0.943565 | + | 0.331188i | \(0.107449\pi\) | |||||||
\(908\) | 19.9682 | + | 16.5652i | 0.662666 | + | 0.549737i | ||||
\(909\) | −1.99926 | + | 12.0333i | −0.0663111 | + | 0.399119i | ||||
\(910\) | −15.3486 | + | 0.713278i | −0.508800 | + | 0.0236449i | ||||
\(911\) | −4.58628 | − | 7.94367i | −0.151950 | − | 0.263185i | 0.779994 | − | 0.625787i | \(-0.215222\pi\) |
−0.931944 | + | 0.362601i | \(0.881889\pi\) | |||||||
\(912\) | 0.624752 | − | 22.7412i | 0.0206876 | − | 0.753038i | ||||
\(913\) | −3.77718 | + | 6.54227i | −0.125006 | + | 0.216518i | ||||
\(914\) | −24.9824 | + | 48.3212i | −0.826344 | + | 1.59832i | ||||
\(915\) | 16.4577 | − | 0.800141i | 0.544075 | − | 0.0264519i | ||||
\(916\) | −13.0080 | − | 2.21848i | −0.429797 | − | 0.0733007i | ||||
\(917\) | −24.9240 | − | 24.9240i | −0.823061 | − | 0.823061i | ||||
\(918\) | −9.16853 | + | 7.97317i | −0.302607 | + | 0.263154i | ||||
\(919\) | 2.72325 | 0.0898318 | 0.0449159 | − | 0.998991i | \(-0.485698\pi\) | ||||
0.0449159 | + | 0.998991i | \(0.485698\pi\) | |||||||
\(920\) | 3.05720 | − | 24.8351i | 0.100793 | − | 0.818790i | ||||
\(921\) | 26.5678 | + | 24.1043i | 0.875440 | + | 0.794262i | ||||
\(922\) | 3.40259 | − | 1.08333i | 0.112058 | − | 0.0356777i | ||||
\(923\) | 6.52623 | + | 24.3562i | 0.214813 | + | 0.801695i | ||||
\(924\) | 4.22449 | − | 34.9343i | 0.138975 | − | 1.14925i | ||||
\(925\) | −0.642172 | + | 2.39662i | −0.0211145 | + | 0.0788003i | ||||
\(926\) | 39.7888 | − | 1.84907i | 1.30754 | − | 0.0607641i | ||||
\(927\) | −9.84132 | + | 21.6617i | −0.323232 | + | 0.711465i | ||||
\(928\) | 26.1008 | + | 16.1179i | 0.856800 | + | 0.529094i | ||||
\(929\) | 3.93105 | − | 2.26959i | 0.128973 | − | 0.0744629i | −0.434125 | − | 0.900853i | \(-0.642942\pi\) |
0.563099 | + | 0.826390i | \(0.309609\pi\) | |||||||
\(930\) | 7.77356 | + | 20.8533i | 0.254905 | + | 0.683806i | ||||
\(931\) | 6.81916 | + | 25.4495i | 0.223489 | + | 0.834072i | ||||
\(932\) | −5.92479 | + | 12.8941i | −0.194073 | + | 0.422362i | ||||
\(933\) | 0.221417 | − | 0.430524i | 0.00724885 | − | 0.0140947i | ||||
\(934\) | −4.23463 | − | 0.926340i | −0.138561 | − | 0.0303108i | ||||
\(935\) | 5.29050i | 0.173018i | ||||||||
\(936\) | 9.31039 | + | 17.1127i | 0.304320 | + | 0.559345i | ||||
\(937\) | − | 15.3808i | − | 0.502470i | −0.967926 | − | 0.251235i | \(-0.919163\pi\) | ||
0.967926 | − | 0.251235i | \(-0.0808367\pi\) | |||||||
\(938\) | 16.2457 | − | 74.2651i | 0.530442 | − | 2.42484i | ||||
\(939\) | 8.85409 | + | 13.7476i | 0.288942 | + | 0.448636i | ||||
\(940\) | −8.76933 | + | 3.24761i | −0.286024 | + | 0.105925i | ||||
\(941\) | −5.88269 | − | 21.9545i | −0.191770 | − | 0.715696i | −0.993079 | − | 0.117446i | \(-0.962529\pi\) |
0.801309 | − | 0.598251i | \(-0.204137\pi\) | |||||||
\(942\) | −12.2694 | − | 10.1342i | −0.399758 | − | 0.330190i | ||||
\(943\) | 65.5177 | − | 37.8267i | 2.13355 | − | 1.23181i | ||||
\(944\) | 13.9775 | − | 20.4465i | 0.454930 | − | 0.665478i | ||||
\(945\) | −14.6779 | + | 19.7281i | −0.477474 | + | 0.641754i | ||||
\(946\) | −1.37652 | − | 29.6204i | −0.0447544 | − | 0.963041i | ||||
\(947\) | 10.6876 | − | 39.8867i | 0.347301 | − | 1.29614i | −0.542600 | − | 0.839991i | \(-0.682560\pi\) |
0.889901 | − | 0.456153i | \(-0.150773\pi\) | |||||||
\(948\) | −31.0356 | + | 4.41972i | −1.00799 | + | 0.143546i | ||||
\(949\) | 6.23743 | + | 23.2784i | 0.202476 | + | 0.755649i | ||||
\(950\) | −4.94419 | − | 15.5289i | −0.160411 | − | 0.503825i | ||||
\(951\) | −11.2289 | + | 51.8631i | −0.364123 | + | 1.68178i | ||||
\(952\) | −11.1558 | − | 14.2879i | −0.361560 | − | 0.463072i | ||||
\(953\) | −3.63707 | −0.117816 | −0.0589081 | − | 0.998263i | \(-0.518762\pi\) | ||||
−0.0589081 | + | 0.998263i | \(0.518762\pi\) | |||||||
\(954\) | −27.9748 | − | 3.32214i | −0.905716 | − | 0.107558i | ||||
\(955\) | −0.225756 | − | 0.225756i | −0.00730531 | − | 0.00730531i | ||||
\(956\) | −19.3278 | − | 27.2759i | −0.625104 | − | 0.882166i | ||||
\(957\) | 11.2581 | − | 21.8904i | 0.363924 | − | 0.707615i | ||||
\(958\) | −0.751159 | − | 0.388354i | −0.0242688 | − | 0.0125472i | ||||
\(959\) | −19.6446 | + | 34.0254i | −0.634357 | + | 1.09874i | ||||
\(960\) | 9.39814 | + | 14.0665i | 0.303324 | + | 0.453993i | ||||
\(961\) | 12.1900 | + | 21.1136i | 0.393224 | + | 0.681085i | ||||
\(962\) | −0.106564 | − | 2.29309i | −0.00343577 | − | 0.0739321i | ||||
\(963\) | 28.8454 | − | 35.0756i | 0.929531 | − | 1.13030i | ||||
\(964\) | −53.0275 | + | 4.93925i | −1.70790 | + | 0.159083i | ||||
\(965\) | −0.217938 | + | 0.813357i | −0.00701568 | + | 0.0261829i | ||||
\(966\) | 56.0484 | − | 39.8966i | 1.80333 | − | 1.28365i | ||||
\(967\) | 13.2430 | − | 22.9375i | 0.425865 | − | 0.737619i | −0.570636 | − | 0.821203i | \(-0.693303\pi\) |
0.996501 | + | 0.0835839i | \(0.0266367\pi\) | |||||||
\(968\) | 4.38112 | − | 10.8340i | 0.140814 | − | 0.348217i | ||||
\(969\) | −6.31889 | + | 6.96471i | −0.202992 | + | 0.223739i | ||||
\(970\) | −23.6233 | − | 5.16768i | −0.758500 | − | 0.165924i | ||||
\(971\) | 19.1926 | − | 19.1926i | 0.615920 | − | 0.615920i | −0.328562 | − | 0.944482i | \(-0.606564\pi\) |
0.944482 | + | 0.328562i | \(0.106564\pi\) | |||||||
\(972\) | 30.6286 | + | 5.82137i | 0.982413 | + | 0.186721i | ||||
\(973\) | 19.8083 | + | 19.8083i | 0.635025 | + | 0.635025i | ||||
\(974\) | −3.45394 | + | 2.21405i | −0.110671 | + | 0.0709428i | ||||
\(975\) | 10.3357 | + | 9.37732i | 0.331008 | + | 0.300315i | ||||
\(976\) | 28.0980 | − | 13.4882i | 0.899393 | − | 0.431746i | ||||
\(977\) | −39.5474 | − | 22.8327i | −1.26523 | − | 0.730482i | −0.291151 | − | 0.956677i | \(-0.594038\pi\) |
−0.974082 | + | 0.226195i | \(0.927371\pi\) | |||||||
\(978\) | −36.8784 | − | 6.20829i | −1.17924 | − | 0.198519i | ||||
\(979\) | −12.4528 | − | 3.33672i | −0.397994 | − | 0.106642i | ||||
\(980\) | −15.0790 | − | 12.5092i | −0.481680 | − | 0.399593i | ||||
\(981\) | 0.740421 | + | 0.608907i | 0.0236398 | + | 0.0194409i | ||||
\(982\) | 3.07141 | + | 2.79862i | 0.0980127 | + | 0.0893075i | ||||
\(983\) | 4.07756 | − | 2.35418i | 0.130054 | − | 0.0750868i | −0.433561 | − | 0.901124i | \(-0.642743\pi\) |
0.563616 | + | 0.826037i | \(0.309410\pi\) | |||||||
\(984\) | −16.8496 | + | 48.2923i | −0.537147 | + | 1.53950i | ||||
\(985\) | −7.55909 | − | 4.36424i | −0.240852 | − | 0.139056i | ||||
\(986\) | −3.84703 | − | 12.0829i | −0.122514 | − | 0.384799i | ||||
\(987\) | −22.8643 | − | 11.7590i | −0.727780 | − | 0.374295i | ||||
\(988\) | 8.71752 | + | 12.3024i | 0.277341 | + | 0.391392i | ||||
\(989\) | 40.9935 | − | 40.9935i | 1.30352 | − | 1.30352i | ||||
\(990\) | 10.6639 | − | 8.39997i | 0.338921 | − | 0.266969i | ||||
\(991\) | − | 18.1880i | − | 0.577760i | −0.957365 | − | 0.288880i | \(-0.906717\pi\) | ||
0.957365 | − | 0.288880i | \(-0.0932829\pi\) | |||||||
\(992\) | 28.8729 | + | 30.6352i | 0.916714 | + | 0.972669i | ||||
\(993\) | −45.7930 | − | 9.91467i | −1.45320 | − | 0.314633i | ||||
\(994\) | −27.6486 | + | 53.4781i | −0.876959 | + | 1.69622i | ||||
\(995\) | 4.90402 | − | 1.31403i | 0.155468 | − | 0.0416575i | ||||
\(996\) | 5.99474 | − | 7.98566i | 0.189951 | − | 0.253035i | ||||
\(997\) | −51.8412 | − | 13.8908i | −1.64183 | − | 0.439926i | −0.684519 | − | 0.728995i | \(-0.739988\pi\) |
−0.957308 | + | 0.289069i | \(0.906654\pi\) | |||||||
\(998\) | −13.4359 | − | 12.2426i | −0.425305 | − | 0.387531i | ||||
\(999\) | −2.94739 | − | 2.19290i | −0.0932513 | − | 0.0693802i |
(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 | 144.2.u.a.131.4 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.179.19 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.239.11 | 88 | |||
9.2 | odd | 6 | inner | 144.2.u.a.83.5 | yes | 88 | |
9.7 | even | 3 | 432.2.v.a.35.18 | 88 | |||
12.11 | even | 2 | 1728.2.z.a.1583.15 | 88 | |||
16.5 | even | 4 | 576.2.y.a.527.22 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.59.5 | yes | 88 | |
36.7 | odd | 6 | 1728.2.z.a.1007.15 | 88 | |||
36.11 | even | 6 | 576.2.y.a.47.22 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.719.15 | 88 | |||
48.11 | even | 4 | 432.2.v.a.395.18 | 88 | |||
144.11 | even | 12 | inner | 144.2.u.a.11.4 | ✓ | 88 | |
144.43 | odd | 12 | 432.2.v.a.251.19 | 88 | |||
144.101 | odd | 12 | 576.2.y.a.335.11 | 88 | |||
144.133 | even | 12 | 1728.2.z.a.143.15 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.4 | ✓ | 88 | 144.11 | even | 12 | inner | |
144.2.u.a.59.5 | yes | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.83.5 | yes | 88 | 9.2 | odd | 6 | inner | |
144.2.u.a.131.4 | yes | 88 | 1.1 | even | 1 | trivial | |
432.2.v.a.35.18 | 88 | 9.7 | even | 3 | |||
432.2.v.a.179.19 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.251.19 | 88 | 144.43 | odd | 12 | |||
432.2.v.a.395.18 | 88 | 48.11 | even | 4 | |||
576.2.y.a.47.22 | 88 | 36.11 | even | 6 | |||
576.2.y.a.239.11 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.335.11 | 88 | 144.101 | odd | 12 | |||
576.2.y.a.527.22 | 88 | 16.5 | even | 4 | |||
1728.2.z.a.143.15 | 88 | 144.133 | even | 12 | |||
1728.2.z.a.719.15 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.1007.15 | 88 | 36.7 | odd | 6 | |||
1728.2.z.a.1583.15 | 88 | 12.11 | even | 2 |