Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(5,189)]
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([5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.ba (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 | 5.10 | ||
Character | \(\chi\) | \(=\) | 189.5 |
Dual form | 189.2.ba.a.38.10 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.408566 | + | 0.0720413i | −0.288900 | + | 0.0509409i | −0.316220 | − | 0.948686i | \(-0.602414\pi\) |
0.0273200 | + | 0.999627i | \(0.491303\pi\) | |||||||
\(3\) | 1.12900 | − | 1.31353i | 0.651831 | − | 0.758364i | ||||
\(4\) | −1.71765 | + | 0.625173i | −0.858824 | + | 0.312586i | ||||
\(5\) | 0.0312679 | − | 0.177329i | 0.0139834 | − | 0.0793039i | −0.977017 | − | 0.213159i | \(-0.931625\pi\) |
0.991001 | + | 0.133855i | \(0.0427358\pi\) | |||||||
\(6\) | −0.366645 | + | 0.617997i | −0.149682 | + | 0.252296i | ||||
\(7\) | 1.82229 | − | 1.91814i | 0.688761 | − | 0.724988i | ||||
\(8\) | 1.37531 | − | 0.794036i | 0.486246 | − | 0.280734i | ||||
\(9\) | −0.450699 | − | 2.96595i | −0.150233 | − | 0.988651i | ||||
\(10\) | 0.0747032i | 0.0236232i | ||||||||
\(11\) | 1.56303 | − | 0.275605i | 0.471272 | − | 0.0830979i | 0.0670317 | − | 0.997751i | \(-0.478647\pi\) |
0.404240 | + | 0.914653i | \(0.367536\pi\) | |||||||
\(12\) | −1.11805 | + | 2.96200i | −0.322754 | + | 0.855055i | ||||
\(13\) | 3.21910 | − | 3.83638i | 0.892819 | − | 1.06402i | −0.104761 | − | 0.994497i | \(-0.533408\pi\) |
0.997580 | − | 0.0695228i | \(-0.0221477\pi\) | |||||||
\(14\) | −0.606342 | + | 0.914967i | −0.162052 | + | 0.244535i | ||||
\(15\) | −0.197625 | − | 0.241276i | −0.0510264 | − | 0.0622973i | ||||
\(16\) | 2.29578 | − | 1.92639i | 0.573944 | − | 0.481597i | ||||
\(17\) | −7.76129 | −1.88239 | −0.941195 | − | 0.337864i | \(-0.890296\pi\) | ||||
−0.941195 | + | 0.337864i | \(0.890296\pi\) | |||||||
\(18\) | 0.397812 | + | 1.17932i | 0.0937651 | + | 0.277968i | ||||
\(19\) | 4.34679i | 0.997221i | 0.866826 | + | 0.498611i | \(0.166156\pi\) | ||||
−0.866826 | + | 0.498611i | \(0.833844\pi\) | |||||||
\(20\) | 0.0571540 | + | 0.324137i | 0.0127800 | + | 0.0724791i | ||||
\(21\) | −0.462149 | − | 4.55921i | −0.100849 | − | 0.994902i | ||||
\(22\) | −0.618747 | + | 0.225206i | −0.131917 | + | 0.0480140i | ||||
\(23\) | −1.56305 | + | 1.86277i | −0.325918 | + | 0.388414i | −0.903977 | − | 0.427581i | \(-0.859366\pi\) |
0.578059 | + | 0.815995i | \(0.303810\pi\) | |||||||
\(24\) | 0.509745 | − | 2.70297i | 0.104051 | − | 0.551742i | ||||
\(25\) | 4.66800 | + | 1.69901i | 0.933599 | + | 0.339802i | ||||
\(26\) | −1.03884 | + | 1.79932i | −0.203733 | + | 0.352877i | ||||
\(27\) | −4.40469 | − | 2.75657i | −0.847684 | − | 0.530502i | ||||
\(28\) | −1.93089 | + | 4.43393i | −0.364904 | + | 0.837935i | ||||
\(29\) | 2.81590 | + | 3.35586i | 0.522899 | + | 0.623167i | 0.961264 | − | 0.275630i | \(-0.0888866\pi\) |
−0.438365 | + | 0.898797i | \(0.644442\pi\) | |||||||
\(30\) | 0.0981246 | + | 0.0843403i | 0.0179150 | + | 0.0153984i | ||||
\(31\) | 0.459948 | + | 1.26370i | 0.0826090 | + | 0.226966i | 0.974119 | − | 0.226034i | \(-0.0725759\pi\) |
−0.891510 | + | 0.453000i | \(0.850354\pi\) | |||||||
\(32\) | −2.84078 | + | 3.38551i | −0.502184 | + | 0.598480i | ||||
\(33\) | 1.40266 | − | 2.36424i | 0.244171 | − | 0.411562i | ||||
\(34\) | 3.17100 | − | 0.559134i | 0.543823 | − | 0.0958906i | ||||
\(35\) | −0.283162 | − | 0.383121i | −0.0478631 | − | 0.0647593i | ||||
\(36\) | 2.62838 | + | 4.81270i | 0.438063 | + | 0.802116i | ||||
\(37\) | 2.09041 | + | 3.62070i | 0.343662 | + | 0.595240i | 0.985110 | − | 0.171927i | \(-0.0549992\pi\) |
−0.641448 | + | 0.767167i | \(0.721666\pi\) | |||||||
\(38\) | −0.313148 | − | 1.77595i | −0.0507993 | − | 0.288097i | ||||
\(39\) | −1.40480 | − | 8.55966i | −0.224948 | − | 1.37064i | ||||
\(40\) | −0.0978025 | − | 0.268710i | −0.0154639 | − | 0.0424868i | ||||
\(41\) | 8.48927 | + | 7.12335i | 1.32580 | + | 1.11248i | 0.985039 | + | 0.172331i | \(0.0551297\pi\) |
0.340763 | + | 0.940149i | \(0.389315\pi\) | |||||||
\(42\) | 0.517270 | + | 1.82945i | 0.0798165 | + | 0.282290i | ||||
\(43\) | −0.714703 | − | 0.260131i | −0.108991 | − | 0.0396696i | 0.286949 | − | 0.957946i | \(-0.407359\pi\) |
−0.395940 | + | 0.918276i | \(0.629581\pi\) | |||||||
\(44\) | −2.51244 | + | 1.45056i | −0.378764 | + | 0.218680i | ||||
\(45\) | −0.540041 | − | 0.0128170i | −0.0805046 | − | 0.00191065i | ||||
\(46\) | 0.504413 | − | 0.873669i | 0.0743716 | − | 0.128815i | ||||
\(47\) | −8.67893 | − | 3.15887i | −1.26595 | − | 0.460769i | −0.380190 | − | 0.924908i | \(-0.624141\pi\) |
−0.885762 | + | 0.464139i | \(0.846364\pi\) | |||||||
\(48\) | 0.0615850 | − | 5.19046i | 0.00888903 | − | 0.749179i | ||||
\(49\) | −0.358507 | − | 6.99081i | −0.0512153 | − | 0.998688i | ||||
\(50\) | −2.02959 | − | 0.357871i | −0.287027 | − | 0.0506106i | ||||
\(51\) | −8.76253 | + | 10.1947i | −1.22700 | + | 1.42754i | ||||
\(52\) | −3.13089 | + | 8.60205i | −0.434176 | + | 1.19289i | ||||
\(53\) | −8.42703 | + | 4.86535i | −1.15754 | + | 0.668307i | −0.950714 | − | 0.310071i | \(-0.899647\pi\) |
−0.206828 | + | 0.978377i | \(0.566314\pi\) | |||||||
\(54\) | 1.99820 | + | 0.808921i | 0.271920 | + | 0.110080i | ||||
\(55\) | − | 0.285788i | − | 0.0385357i | ||||||
\(56\) | 0.983146 | − | 4.08500i | 0.131378 | − | 0.545881i | ||||
\(57\) | 5.70962 | + | 4.90754i | 0.756257 | + | 0.650020i | ||||
\(58\) | −1.39224 | − | 1.16823i | −0.182810 | − | 0.153396i | ||||
\(59\) | 1.51017 | + | 1.26718i | 0.196608 | + | 0.164973i | 0.735777 | − | 0.677224i | \(-0.236817\pi\) |
−0.539169 | + | 0.842197i | \(0.681262\pi\) | |||||||
\(60\) | 0.490289 | + | 0.290878i | 0.0632960 | + | 0.0375522i | ||||
\(61\) | −0.916897 | + | 2.51916i | −0.117397 | + | 0.322545i | −0.984449 | − | 0.175673i | \(-0.943790\pi\) |
0.867052 | + | 0.498218i | \(0.166012\pi\) | |||||||
\(62\) | −0.278957 | − | 0.483169i | −0.0354276 | − | 0.0613625i | ||||
\(63\) | −6.51041 | − | 4.54033i | −0.820235 | − | 0.572027i | ||||
\(64\) | −2.08017 | + | 3.60297i | −0.260022 | + | 0.450371i | ||||
\(65\) | −0.579646 | − | 0.690796i | −0.0718963 | − | 0.0856827i | ||||
\(66\) | −0.402755 | + | 1.06700i | −0.0495757 | + | 0.131338i | ||||
\(67\) | −0.722307 | + | 4.09641i | −0.0882438 | + | 0.500456i | 0.908366 | + | 0.418177i | \(0.137331\pi\) |
−0.996609 | + | 0.0822786i | \(0.973780\pi\) | |||||||
\(68\) | 13.3312 | − | 4.85215i | 1.61664 | − | 0.588410i | ||||
\(69\) | 0.682106 | + | 4.15618i | 0.0821159 | + | 0.500345i | ||||
\(70\) | 0.143291 | + | 0.136131i | 0.0171266 | + | 0.0162708i | ||||
\(71\) | 5.04844 | + | 2.91472i | 0.599139 | + | 0.345913i | 0.768703 | − | 0.639606i | \(-0.220903\pi\) |
−0.169564 | + | 0.985519i | \(0.554236\pi\) | |||||||
\(72\) | −2.97492 | − | 3.72123i | −0.350598 | − | 0.438551i | ||||
\(73\) | −7.42228 | − | 4.28526i | −0.868712 | − | 0.501551i | −0.00179209 | − | 0.999998i | \(-0.500570\pi\) |
−0.866920 | + | 0.498447i | \(0.833904\pi\) | |||||||
\(74\) | −1.11491 | − | 1.32870i | −0.129606 | − | 0.154458i | ||||
\(75\) | 7.50188 | − | 4.21334i | 0.866243 | − | 0.486515i | ||||
\(76\) | −2.71749 | − | 7.46625i | −0.311718 | − | 0.856438i | ||||
\(77\) | 2.31965 | − | 3.50034i | 0.264349 | − | 0.398901i | ||||
\(78\) | 1.19060 | + | 3.39599i | 0.134809 | + | 0.384520i | ||||
\(79\) | −0.884454 | − | 5.01599i | −0.0995088 | − | 0.564343i | −0.993272 | − | 0.115804i | \(-0.963056\pi\) |
0.893763 | − | 0.448539i | \(-0.148055\pi\) | |||||||
\(80\) | −0.269820 | − | 0.467342i | −0.0301668 | − | 0.0522504i | ||||
\(81\) | −8.59374 | + | 2.67350i | −0.954860 | + | 0.297056i | ||||
\(82\) | −3.98161 | − | 2.29878i | −0.439695 | − | 0.253858i | ||||
\(83\) | 10.1615 | − | 8.52653i | 1.11537 | − | 0.935909i | 0.117011 | − | 0.993131i | \(-0.462669\pi\) |
0.998361 | + | 0.0572219i | \(0.0182242\pi\) | |||||||
\(84\) | 3.64411 | + | 7.54220i | 0.397605 | + | 0.822922i | ||||
\(85\) | −0.242679 | + | 1.37630i | −0.0263222 | + | 0.149281i | ||||
\(86\) | 0.310744 | + | 0.0547926i | 0.0335084 | + | 0.00590843i | ||||
\(87\) | 7.58716 | + | 0.0900220i | 0.813429 | + | 0.00965137i | ||||
\(88\) | 1.93081 | − | 1.62014i | 0.205825 | − | 0.172708i | ||||
\(89\) | 8.19131 | 0.868278 | 0.434139 | − | 0.900846i | \(-0.357053\pi\) | ||||
0.434139 | + | 0.900846i | \(0.357053\pi\) | |||||||
\(90\) | 0.221566 | − | 0.0336687i | 0.0233551 | − | 0.00354899i | ||||
\(91\) | −1.49256 | − | 13.1657i | −0.156463 | − | 1.38014i | ||||
\(92\) | 1.52022 | − | 4.17676i | 0.158493 | − | 0.435457i | ||||
\(93\) | 2.17918 | + | 0.822565i | 0.225970 | + | 0.0852960i | ||||
\(94\) | 3.77349 | + | 0.665368i | 0.389206 | + | 0.0686275i | ||||
\(95\) | 0.770811 | + | 0.135915i | 0.0790835 | + | 0.0139446i | ||||
\(96\) | 1.23970 | + | 7.55370i | 0.126527 | + | 0.770946i | ||||
\(97\) | 1.63818 | − | 4.50085i | 0.166332 | − | 0.456993i | −0.828323 | − | 0.560251i | \(-0.810705\pi\) |
0.994655 | + | 0.103258i | \(0.0329269\pi\) | |||||||
\(98\) | 0.650101 | + | 2.83038i | 0.0656701 | + | 0.285912i | ||||
\(99\) | −1.52189 | − | 4.51166i | −0.152955 | − | 0.453439i | ||||
\(100\) | −9.08015 | −0.908015 | ||||||||
\(101\) | 9.59097 | − | 8.04778i | 0.954337 | − | 0.800784i | −0.0256856 | − | 0.999670i | \(-0.508177\pi\) |
0.980023 | + | 0.198886i | \(0.0637324\pi\) | |||||||
\(102\) | 2.84564 | − | 4.79646i | 0.281760 | − | 0.474920i | ||||
\(103\) | 2.76125 | + | 0.486882i | 0.272074 | + | 0.0479739i | 0.308020 | − | 0.951380i | \(-0.400334\pi\) |
−0.0359467 | + | 0.999354i | \(0.511445\pi\) | |||||||
\(104\) | 1.38104 | − | 7.83229i | 0.135423 | − | 0.768020i | ||||
\(105\) | −0.822931 | − | 0.0606045i | −0.0803098 | − | 0.00591440i | ||||
\(106\) | 3.09250 | − | 2.59491i | 0.300370 | − | 0.252040i | ||||
\(107\) | −6.82463 | − | 3.94020i | −0.659762 | − | 0.380913i | 0.132425 | − | 0.991193i | \(-0.457724\pi\) |
−0.792186 | + | 0.610280i | \(0.791057\pi\) | |||||||
\(108\) | 9.28905 | + | 1.98112i | 0.893839 | + | 0.190633i | ||||
\(109\) | 8.69846 | + | 15.0662i | 0.833161 | + | 1.44308i | 0.895519 | + | 0.445024i | \(0.146805\pi\) |
−0.0623578 | + | 0.998054i | \(0.519862\pi\) | |||||||
\(110\) | 0.0205886 | + | 0.116764i | 0.00196304 | + | 0.0111330i | ||||
\(111\) | 7.11597 | + | 1.34198i | 0.675418 | + | 0.127375i | ||||
\(112\) | 0.488502 | − | 7.91406i | 0.0461591 | − | 0.747808i | ||||
\(113\) | 1.02719 | + | 2.82219i | 0.0966304 | + | 0.265490i | 0.978585 | − | 0.205845i | \(-0.0659944\pi\) |
−0.881954 | + | 0.471335i | \(0.843772\pi\) | |||||||
\(114\) | −2.68630 | − | 1.59373i | −0.251595 | − | 0.149266i | ||||
\(115\) | 0.281450 | + | 0.335419i | 0.0262453 | + | 0.0312779i | ||||
\(116\) | −6.93471 | − | 4.00376i | −0.643872 | − | 0.371740i | ||||
\(117\) | −12.8294 | − | 7.81866i | −1.18608 | − | 0.722835i | ||||
\(118\) | −0.708295 | − | 0.408934i | −0.0652038 | − | 0.0376455i | ||||
\(119\) | −14.1433 | + | 14.8872i | −1.29652 | + | 1.36471i | ||||
\(120\) | −0.463377 | − | 0.174909i | −0.0423003 | − | 0.0159669i | ||||
\(121\) | −7.96951 | + | 2.90066i | −0.724501 | + | 0.263697i | ||||
\(122\) | 0.193130 | − | 1.09530i | 0.0174852 | − | 0.0991635i | ||||
\(123\) | 18.9411 | − | 3.10859i | 1.70786 | − | 0.280292i | ||||
\(124\) | −1.58006 | − | 1.88304i | −0.141893 | − | 0.169102i | ||||
\(125\) | 0.897403 | − | 1.55435i | 0.0802662 | − | 0.139025i | ||||
\(126\) | 2.98703 | + | 1.38601i | 0.266105 | + | 0.123475i | ||||
\(127\) | 5.25357 | + | 9.09945i | 0.466179 | + | 0.807446i | 0.999254 | − | 0.0386222i | \(-0.0122969\pi\) |
−0.533075 | + | 0.846068i | \(0.678964\pi\) | |||||||
\(128\) | 3.61343 | − | 9.92780i | 0.319385 | − | 0.877502i | ||||
\(129\) | −1.14859 | + | 0.645092i | −0.101128 | + | 0.0567972i | ||||
\(130\) | 0.286590 | + | 0.240477i | 0.0251356 | + | 0.0210913i | ||||
\(131\) | −11.1700 | − | 9.37272i | −0.975925 | − | 0.818898i | 0.00754465 | − | 0.999972i | \(-0.497598\pi\) |
−0.983470 | + | 0.181073i | \(0.942043\pi\) | |||||||
\(132\) | −0.931210 | + | 4.93784i | −0.0810514 | + | 0.429784i | ||||
\(133\) | 8.33774 | + | 7.92111i | 0.722973 | + | 0.686848i | ||||
\(134\) | − | 1.72569i | − | 0.149077i | ||||||
\(135\) | −0.626545 | + | 0.694888i | −0.0539244 | + | 0.0598064i | ||||
\(136\) | −10.6742 | + | 6.16274i | −0.915304 | + | 0.528451i | ||||
\(137\) | −2.17300 | + | 5.97027i | −0.185652 | + | 0.510075i | −0.997247 | − | 0.0741452i | \(-0.976377\pi\) |
0.811595 | + | 0.584220i | \(0.198599\pi\) | |||||||
\(138\) | −0.578102 | − | 1.64894i | −0.0492113 | − | 0.140367i | ||||
\(139\) | −15.1483 | − | 2.67106i | −1.28487 | − | 0.226556i | −0.510821 | − | 0.859687i | \(-0.670658\pi\) |
−0.774045 | + | 0.633131i | \(0.781769\pi\) | |||||||
\(140\) | 0.725890 | + | 0.481042i | 0.0613489 | + | 0.0406555i | ||||
\(141\) | −13.9478 | + | 7.83362i | −1.17462 | + | 0.659710i | ||||
\(142\) | −2.27260 | − | 0.827159i | −0.190713 | − | 0.0694137i | ||||
\(143\) | 3.97424 | − | 6.88358i | 0.332343 | − | 0.575634i | ||||
\(144\) | −6.74827 | − | 5.94095i | −0.562356 | − | 0.495079i | ||||
\(145\) | 0.683138 | − | 0.394410i | 0.0567315 | − | 0.0327539i | ||||
\(146\) | 3.34121 | + | 1.21610i | 0.276521 | + | 0.100645i | ||||
\(147\) | −9.58737 | − | 7.42175i | −0.790753 | − | 0.612136i | ||||
\(148\) | −5.85416 | − | 4.91223i | −0.481209 | − | 0.403783i | ||||
\(149\) | 5.96220 | + | 16.3810i | 0.488442 | + | 1.34198i | 0.902090 | + | 0.431547i | \(0.142032\pi\) |
−0.413648 | + | 0.910437i | \(0.635746\pi\) | |||||||
\(150\) | −2.76148 | + | 2.26187i | −0.225474 | + | 0.184681i | ||||
\(151\) | 0.399188 | + | 2.26391i | 0.0324854 | + | 0.184234i | 0.996733 | − | 0.0807699i | \(-0.0257379\pi\) |
−0.964247 | + | 0.265004i | \(0.914627\pi\) | |||||||
\(152\) | 3.45150 | + | 5.97818i | 0.279954 | + | 0.484894i | ||||
\(153\) | 3.49801 | + | 23.0196i | 0.282797 | + | 1.86103i | ||||
\(154\) | −0.695563 | + | 1.59723i | −0.0560500 | + | 0.128709i | ||||
\(155\) | 0.238471 | − | 0.0420489i | 0.0191545 | − | 0.00337745i | ||||
\(156\) | 7.76422 | + | 13.8243i | 0.621635 | + | 1.10683i | ||||
\(157\) | −3.60935 | + | 4.30145i | −0.288057 | + | 0.343293i | −0.890595 | − | 0.454797i | \(-0.849712\pi\) |
0.602538 | + | 0.798090i | \(0.294156\pi\) | |||||||
\(158\) | 0.722716 | + | 1.98565i | 0.0574962 | + | 0.157970i | ||||
\(159\) | −3.12339 | + | 16.5621i | −0.247701 | + | 1.31346i | ||||
\(160\) | 0.511524 | + | 0.609611i | 0.0404395 | + | 0.0481940i | ||||
\(161\) | 0.724718 | + | 6.39265i | 0.0571157 | + | 0.503811i | ||||
\(162\) | 3.31851 | − | 1.71141i | 0.260727 | − | 0.134461i | ||||
\(163\) | 9.58450 | − | 16.6008i | 0.750716 | − | 1.30028i | −0.196760 | − | 0.980452i | \(-0.563042\pi\) |
0.947476 | − | 0.319827i | \(-0.103625\pi\) | |||||||
\(164\) | −19.0349 | − | 6.92814i | −1.48638 | − | 0.540997i | ||||
\(165\) | −0.375390 | − | 0.322656i | −0.0292241 | − | 0.0251188i | ||||
\(166\) | −3.53740 | + | 4.21571i | −0.274555 | + | 0.327202i | ||||
\(167\) | −8.84469 | + | 3.21920i | −0.684422 | + | 0.249109i | −0.660745 | − | 0.750610i | \(-0.729760\pi\) |
−0.0236772 | + | 0.999720i | \(0.507537\pi\) | |||||||
\(168\) | −4.25577 | − | 5.90337i | −0.328340 | − | 0.455455i | ||||
\(169\) | −2.09775 | − | 11.8969i | −0.161365 | − | 0.915147i | ||||
\(170\) | − | 0.579794i | − | 0.0444681i | ||||||
\(171\) | 12.8924 | − | 1.95909i | 0.985903 | − | 0.149816i | ||||
\(172\) | 1.39024 | 0.106005 | ||||||||
\(173\) | 4.11126 | − | 3.44976i | 0.312573 | − | 0.262280i | −0.472981 | − | 0.881072i | \(-0.656822\pi\) |
0.785555 | + | 0.618792i | \(0.212378\pi\) | |||||||
\(174\) | −3.10635 | + | 0.509809i | −0.235492 | + | 0.0386485i | ||||
\(175\) | 11.7654 | − | 5.85777i | 0.889380 | − | 0.442805i | ||||
\(176\) | 3.05745 | − | 3.64373i | 0.230464 | − | 0.274656i | ||||
\(177\) | 3.36947 | − | 0.552992i | 0.253265 | − | 0.0415655i | ||||
\(178\) | −3.34670 | + | 0.590113i | −0.250846 | + | 0.0442308i | ||||
\(179\) | − | 14.8693i | − | 1.11138i | −0.831389 | − | 0.555691i | \(-0.812454\pi\) | ||
0.831389 | − | 0.555691i | \(-0.187546\pi\) | |||||||
\(180\) | 0.935614 | − | 0.315604i | 0.0697366 | − | 0.0235237i | ||||
\(181\) | −5.48950 | + | 3.16937i | −0.408031 | + | 0.235577i | −0.689944 | − | 0.723863i | \(-0.742365\pi\) |
0.281912 | + | 0.959440i | \(0.409031\pi\) | |||||||
\(182\) | 1.55828 | + | 5.27153i | 0.115508 | + | 0.390752i | ||||
\(183\) | 2.27379 | + | 4.04851i | 0.168084 | + | 0.299274i | ||||
\(184\) | −0.670572 | + | 3.80300i | −0.0494352 | + | 0.280361i | ||||
\(185\) | 0.707418 | − | 0.257479i | 0.0520104 | − | 0.0189302i | ||||
\(186\) | −0.949598 | − | 0.179082i | −0.0696279 | − | 0.0131309i | ||||
\(187\) | −12.1311 | + | 2.13905i | −0.887117 | + | 0.156423i | ||||
\(188\) | 16.8822 | 1.23126 | ||||||||
\(189\) | −13.3141 | + | 3.42554i | −0.968459 | + | 0.249172i | ||||
\(190\) | −0.324719 | −0.0235576 | ||||||||
\(191\) | 16.6883 | − | 2.94260i | 1.20752 | − | 0.212919i | 0.466575 | − | 0.884482i | \(-0.345488\pi\) |
0.740947 | + | 0.671563i | \(0.234377\pi\) | |||||||
\(192\) | 2.38406 | + | 6.80012i | 0.172055 | + | 0.490757i | ||||
\(193\) | 11.5156 | − | 4.19135i | 0.828915 | − | 0.301700i | 0.107501 | − | 0.994205i | \(-0.465715\pi\) |
0.721413 | + | 0.692505i | \(0.243493\pi\) | |||||||
\(194\) | −0.345057 | + | 1.95691i | −0.0247736 | + | 0.140498i | ||||
\(195\) | −1.56180 | − | 0.0185308i | −0.111843 | − | 0.00132702i | ||||
\(196\) | 4.98626 | + | 11.7836i | 0.356161 | + | 0.841688i | ||||
\(197\) | −11.7644 | + | 6.79216i | −0.838176 | + | 0.483921i | −0.856644 | − | 0.515908i | \(-0.827455\pi\) |
0.0184676 | + | 0.999829i | \(0.494121\pi\) | |||||||
\(198\) | 0.946818 | + | 1.73368i | 0.0672874 | + | 0.123207i | ||||
\(199\) | 7.03966i | 0.499028i | 0.968371 | + | 0.249514i | \(0.0802709\pi\) | ||||
−0.968371 | + | 0.249514i | \(0.919729\pi\) | |||||||
\(200\) | 7.76902 | − | 1.36989i | 0.549352 | − | 0.0968657i | ||||
\(201\) | 4.56525 | + | 5.57363i | 0.322008 | + | 0.393133i | ||||
\(202\) | −3.33878 | + | 3.97900i | −0.234915 | + | 0.279961i | ||||
\(203\) | 11.5684 | + | 0.714068i | 0.811941 | + | 0.0501177i | ||||
\(204\) | 8.67753 | − | 22.9889i | 0.607548 | − | 1.60955i | ||||
\(205\) | 1.52862 | − | 1.28266i | 0.106763 | − | 0.0895850i | ||||
\(206\) | −1.16323 | −0.0810459 | ||||||||
\(207\) | 6.22935 | + | 3.79638i | 0.432970 | + | 0.263867i | ||||
\(208\) | − | 15.0087i | − | 1.04067i | ||||||
\(209\) | 1.19799 | + | 6.79417i | 0.0828670 | + | 0.469962i | ||||
\(210\) | 0.340588 | − | 0.0345240i | 0.0235028 | − | 0.00238238i | ||||
\(211\) | −12.4387 | + | 4.52733i | −0.856318 | + | 0.311674i | −0.732613 | − | 0.680645i | \(-0.761700\pi\) |
−0.123704 | + | 0.992319i | \(0.539477\pi\) | |||||||
\(212\) | 11.4330 | − | 13.6253i | 0.785221 | − | 0.935790i | ||||
\(213\) | 9.52826 | − | 3.34052i | 0.652866 | − | 0.228889i | ||||
\(214\) | 3.07217 | + | 1.11818i | 0.210009 | + | 0.0764371i | ||||
\(215\) | −0.0684760 | + | 0.118604i | −0.00467002 | + | 0.00808871i | ||||
\(216\) | −8.24663 | − | 0.293650i | −0.561112 | − | 0.0199804i | ||||
\(217\) | 3.26210 | + | 1.42058i | 0.221446 | + | 0.0964352i | ||||
\(218\) | −4.63928 | − | 5.52888i | −0.314212 | − | 0.374463i | ||||
\(219\) | −14.0086 | + | 4.91128i | −0.946612 | + | 0.331874i | ||||
\(220\) | 0.178667 | + | 0.490884i | 0.0120457 | + | 0.0330954i | ||||
\(221\) | −24.9844 | + | 29.7753i | −1.68063 | + | 2.00290i | ||||
\(222\) | −3.00403 | − | 0.0356429i | −0.201617 | − | 0.00239219i | ||||
\(223\) | −12.9495 | + | 2.28334i | −0.867162 | + | 0.152904i | −0.589494 | − | 0.807773i | \(-0.700673\pi\) |
−0.277668 | + | 0.960677i | \(0.589562\pi\) | |||||||
\(224\) | 1.31715 | + | 11.6184i | 0.0880056 | + | 0.776288i | ||||
\(225\) | 2.93532 | − | 14.6108i | 0.195688 | − | 0.974053i | ||||
\(226\) | −0.622992 | − | 1.07905i | −0.0414408 | − | 0.0717776i | ||||
\(227\) | −1.26546 | − | 7.17680i | −0.0839918 | − | 0.476341i | −0.997570 | − | 0.0696770i | \(-0.977803\pi\) |
0.913578 | − | 0.406664i | \(-0.133308\pi\) | |||||||
\(228\) | −12.8752 | − | 4.85993i | −0.852679 | − | 0.321857i | ||||
\(229\) | 1.41178 | + | 3.87883i | 0.0932930 | + | 0.256321i | 0.977559 | − | 0.210664i | \(-0.0675626\pi\) |
−0.884265 | + | 0.466985i | \(0.845340\pi\) | |||||||
\(230\) | −0.139155 | − | 0.116765i | −0.00917560 | − | 0.00769924i | ||||
\(231\) | −1.97889 | − | 6.99882i | −0.130202 | − | 0.460489i | ||||
\(232\) | 6.53740 | + | 2.37942i | 0.429202 | + | 0.156217i | ||||
\(233\) | −12.6906 | + | 7.32691i | −0.831388 | + | 0.480002i | −0.854328 | − | 0.519735i | \(-0.826031\pi\) |
0.0229398 | + | 0.999737i | \(0.492697\pi\) | |||||||
\(234\) | 5.80491 | + | 2.27020i | 0.379479 | + | 0.148407i | ||||
\(235\) | −0.831531 | + | 1.44025i | −0.0542431 | + | 0.0939518i | ||||
\(236\) | −3.38615 | − | 1.23246i | −0.220420 | − | 0.0802262i | ||||
\(237\) | −7.58718 | − | 4.50132i | −0.492840 | − | 0.292392i | ||||
\(238\) | 4.70600 | − | 7.10133i | 0.305045 | − | 0.460311i | ||||
\(239\) | −22.4643 | − | 3.96107i | −1.45310 | − | 0.256220i | −0.609324 | − | 0.792921i | \(-0.708559\pi\) |
−0.843773 | + | 0.536701i | \(0.819670\pi\) | |||||||
\(240\) | −0.918493 | − | 0.173215i | −0.0592885 | − | 0.0111810i | ||||
\(241\) | 0.269437 | − | 0.740271i | 0.0173559 | − | 0.0476851i | −0.930712 | − | 0.365753i | \(-0.880812\pi\) |
0.948068 | + | 0.318068i | \(0.103034\pi\) | |||||||
\(242\) | 3.04711 | − | 1.75925i | 0.195875 | − | 0.113089i | ||||
\(243\) | −6.19065 | + | 14.3065i | −0.397131 | + | 0.917762i | ||||
\(244\) | − | 4.90024i | − | 0.313706i | ||||||
\(245\) | −1.25088 | − | 0.155014i | −0.0799160 | − | 0.00990349i | ||||
\(246\) | −7.51476 | + | 2.63461i | −0.479124 | + | 0.167977i | ||||
\(247\) | 16.6759 | + | 13.9928i | 1.06106 | + | 0.890338i | ||||
\(248\) | 1.63599 | + | 1.37276i | 0.103885 | + | 0.0871703i | ||||
\(249\) | 0.272586 | − | 22.9739i | 0.0172745 | − | 1.45591i | ||||
\(250\) | −0.254672 | + | 0.699705i | −0.0161069 | + | 0.0442532i | ||||
\(251\) | −5.78209 | − | 10.0149i | −0.364962 | − | 0.632133i | 0.623808 | − | 0.781578i | \(-0.285585\pi\) |
−0.988770 | + | 0.149444i | \(0.952251\pi\) | |||||||
\(252\) | 14.0211 | + | 3.72855i | 0.883245 | + | 0.234877i | ||||
\(253\) | −1.92971 | + | 3.34235i | −0.121320 | + | 0.210132i | ||||
\(254\) | −2.80197 | − | 3.33926i | −0.175811 | − | 0.209524i | ||||
\(255\) | 1.53382 | + | 1.87262i | 0.0960516 | + | 0.117268i | ||||
\(256\) | 0.683760 | − | 3.87780i | 0.0427350 | − | 0.242362i | ||||
\(257\) | 9.55906 | − | 3.47921i | 0.596278 | − | 0.217027i | −0.0262107 | − | 0.999656i | \(-0.508344\pi\) |
0.622488 | + | 0.782629i | \(0.286122\pi\) | |||||||
\(258\) | 0.422803 | − | 0.346309i | 0.0263225 | − | 0.0215603i | ||||
\(259\) | 10.7544 | + | 2.58827i | 0.668243 | + | 0.160828i | ||||
\(260\) | 1.42750 | + | 0.824165i | 0.0885295 | + | 0.0511125i | ||||
\(261\) | 8.68419 | − | 9.86430i | 0.537538 | − | 0.610585i | ||||
\(262\) | 5.23890 | + | 3.02468i | 0.323660 | + | 0.186865i | ||||
\(263\) | 11.0604 | + | 13.1813i | 0.682014 | + | 0.812793i | 0.990365 | − | 0.138480i | \(-0.0442216\pi\) |
−0.308351 | + | 0.951273i | \(0.599777\pi\) | |||||||
\(264\) | 0.0517947 | − | 4.36532i | 0.00318774 | − | 0.268667i | ||||
\(265\) | 0.599271 | + | 1.64648i | 0.0368129 | + | 0.101143i | ||||
\(266\) | −3.97717 | − | 2.63564i | −0.243856 | − | 0.161601i | ||||
\(267\) | 9.24803 | − | 10.7595i | 0.565970 | − | 0.658471i | ||||
\(268\) | −1.32029 | − | 7.48775i | −0.0806497 | − | 0.457387i | ||||
\(269\) | −5.09560 | − | 8.82584i | −0.310684 | − | 0.538121i | 0.667826 | − | 0.744317i | \(-0.267225\pi\) |
−0.978511 | + | 0.206196i | \(0.933891\pi\) | |||||||
\(270\) | 0.205924 | − | 0.329045i | 0.0125322 | − | 0.0200250i | ||||
\(271\) | −6.85061 | − | 3.95520i | −0.416145 | − | 0.240261i | 0.277282 | − | 0.960789i | \(-0.410566\pi\) |
−0.693426 | + | 0.720527i | \(0.743900\pi\) | |||||||
\(272\) | −17.8182 | + | 14.9512i | −1.08039 | + | 0.906552i | ||||
\(273\) | −18.9786 | − | 12.9036i | −1.14864 | − | 0.780962i | ||||
\(274\) | 0.457709 | − | 2.59580i | 0.0276512 | − | 0.156818i | ||||
\(275\) | 7.76448 | + | 1.36909i | 0.468216 | + | 0.0825591i | ||||
\(276\) | −3.76995 | − | 6.71242i | −0.226924 | − | 0.404040i | ||||
\(277\) | 10.5255 | − | 8.83194i | 0.632416 | − | 0.530660i | −0.269263 | − | 0.963067i | \(-0.586780\pi\) |
0.901679 | + | 0.432407i | \(0.142336\pi\) | |||||||
\(278\) | 6.38153 | 0.382739 | ||||||||
\(279\) | 3.54076 | − | 1.93373i | 0.211980 | − | 0.115769i | ||||
\(280\) | −0.693648 | − | 0.302069i | −0.0414534 | − | 0.0180521i | ||||
\(281\) | 0.953112 | − | 2.61865i | 0.0568579 | − | 0.156216i | −0.908012 | − | 0.418944i | \(-0.862400\pi\) |
0.964870 | + | 0.262729i | \(0.0846224\pi\) | |||||||
\(282\) | 5.13426 | − | 4.20537i | 0.305741 | − | 0.250426i | ||||
\(283\) | −16.1660 | − | 2.85051i | −0.960972 | − | 0.169445i | −0.328908 | − | 0.944362i | \(-0.606681\pi\) |
−0.632063 | + | 0.774917i | \(0.717792\pi\) | |||||||
\(284\) | −10.4936 | − | 1.85031i | −0.622683 | − | 0.109796i | ||||
\(285\) | 1.04878 | − | 0.859032i | 0.0621241 | − | 0.0508846i | ||||
\(286\) | −1.12784 | + | 3.09871i | −0.0666905 | + | 0.183231i | ||||
\(287\) | 29.1335 | − | 3.30279i | 1.71970 | − | 0.194957i | ||||
\(288\) | 11.3216 | + | 6.89978i | 0.667132 | + | 0.406573i | ||||
\(289\) | 43.2377 | 2.54339 | ||||||||
\(290\) | −0.250693 | + | 0.210357i | −0.0147212 | + | 0.0123526i | ||||
\(291\) | −4.06248 | − | 7.23327i | −0.238147 | − | 0.424022i | ||||
\(292\) | 15.4279 | + | 2.72035i | 0.902849 | + | 0.159197i | ||||
\(293\) | −0.270460 | + | 1.53385i | −0.0158004 | + | 0.0896087i | −0.991688 | − | 0.128664i | \(-0.958931\pi\) |
0.975888 | + | 0.218273i | \(0.0700422\pi\) | |||||||
\(294\) | 4.45175 | + | 2.34159i | 0.259631 | + | 0.136564i | ||||
\(295\) | 0.271928 | − | 0.228175i | 0.0158323 | − | 0.0132849i | ||||
\(296\) | 5.74994 | + | 3.31973i | 0.334208 | + | 0.192955i | ||||
\(297\) | −7.64440 | − | 3.09465i | −0.443573 | − | 0.179570i | ||||
\(298\) | −3.61606 | − | 6.26320i | −0.209473 | − | 0.362818i | ||||
\(299\) | 2.11467 | + | 11.9929i | 0.122295 | + | 0.693567i | ||||
\(300\) | −10.2515 | + | 11.9270i | −0.591872 | + | 0.688606i | ||||
\(301\) | −1.80136 | + | 0.896866i | −0.103829 | + | 0.0516945i | ||||
\(302\) | −0.326189 | − | 0.896198i | −0.0187701 | − | 0.0515704i | ||||
\(303\) | 0.257281 | − | 21.6840i | 0.0147804 | − | 1.24571i | ||||
\(304\) | 8.37359 | + | 9.97926i | 0.480258 | + | 0.572350i | ||||
\(305\) | 0.418050 | + | 0.241361i | 0.0239375 | + | 0.0138203i | ||||
\(306\) | −3.08753 | − | 9.15304i | −0.176502 | − | 0.523245i | ||||
\(307\) | 1.41615 | + | 0.817613i | 0.0808238 | + | 0.0466637i | 0.539867 | − | 0.841750i | \(-0.318474\pi\) |
−0.459043 | + | 0.888414i | \(0.651808\pi\) | |||||||
\(308\) | −1.79603 | + | 7.46254i | −0.102338 | + | 0.425218i | ||||
\(309\) | 3.75699 | − | 3.07727i | 0.213728 | − | 0.175060i | ||||
\(310\) | −0.0944022 | + | 0.0343596i | −0.00536168 | + | 0.00195149i | ||||
\(311\) | 2.06271 | − | 11.6982i | 0.116965 | − | 0.663344i | −0.868793 | − | 0.495176i | \(-0.835104\pi\) |
0.985758 | − | 0.168168i | \(-0.0537852\pi\) | |||||||
\(312\) | −8.72871 | − | 10.6567i | −0.494166 | − | 0.603319i | ||||
\(313\) | −1.19230 | − | 1.42093i | −0.0673929 | − | 0.0803157i | 0.731295 | − | 0.682062i | \(-0.238916\pi\) |
−0.798688 | + | 0.601746i | \(0.794472\pi\) | |||||||
\(314\) | 1.16478 | − | 2.01745i | 0.0657321 | − | 0.113851i | ||||
\(315\) | −1.00870 | + | 1.01252i | −0.0568337 | + | 0.0570489i | ||||
\(316\) | 4.65504 | + | 8.06276i | 0.261866 | + | 0.453566i | ||||
\(317\) | −7.22432 | + | 19.8487i | −0.405758 | + | 1.11481i | 0.553640 | + | 0.832756i | \(0.313238\pi\) |
−0.959398 | + | 0.282055i | \(0.908984\pi\) | |||||||
\(318\) | 0.0829572 | − | 6.99174i | 0.00465201 | − | 0.392077i | ||||
\(319\) | 5.32623 | + | 4.46924i | 0.298212 | + | 0.250229i | ||||
\(320\) | 0.573867 | + | 0.481532i | 0.0320802 | + | 0.0269184i | ||||
\(321\) | −12.8806 | + | 4.51582i | −0.718924 | + | 0.252048i | ||||
\(322\) | −0.756630 | − | 2.55961i | −0.0421653 | − | 0.142642i | ||||
\(323\) | − | 33.7367i | − | 1.87716i | ||||||
\(324\) | 13.0896 | − | 9.96471i | 0.727201 | − | 0.553595i | ||||
\(325\) | 21.5448 | − | 12.4389i | 1.19509 | − | 0.689986i | ||||
\(326\) | −2.71996 | + | 7.47303i | −0.150645 | + | 0.413893i | ||||
\(327\) | 29.6104 | + | 5.58412i | 1.63746 | + | 0.308803i | ||||
\(328\) | 17.3316 | + | 3.05602i | 0.956976 | + | 0.168741i | ||||
\(329\) | −21.8747 | + | 10.8910i | −1.20599 | + | 0.600440i | ||||
\(330\) | 0.176616 | + | 0.104783i | 0.00972242 | + | 0.00576811i | ||||
\(331\) | −23.4181 | − | 8.52351i | −1.28718 | − | 0.468494i | −0.394378 | − | 0.918948i | \(-0.629040\pi\) |
−0.892800 | + | 0.450454i | \(0.851262\pi\) | |||||||
\(332\) | −12.1234 | + | 20.9983i | −0.665357 | + | 1.15243i | ||||
\(333\) | 9.79669 | − | 7.83192i | 0.536855 | − | 0.429186i | ||||
\(334\) | 3.38173 | − | 1.95244i | 0.185040 | − | 0.106833i | ||||
\(335\) | 0.703826 | + | 0.256172i | 0.0384541 | + | 0.0139962i | ||||
\(336\) | −9.84380 | − | 9.57666i | −0.537023 | − | 0.522450i | ||||
\(337\) | 4.61488 | + | 3.87234i | 0.251388 | + | 0.210940i | 0.759770 | − | 0.650192i | \(-0.225312\pi\) |
−0.508382 | + | 0.861132i | \(0.669756\pi\) | |||||||
\(338\) | 1.71414 | + | 4.70955i | 0.0932368 | + | 0.256166i | ||||
\(339\) | 4.86673 | + | 1.83702i | 0.264325 | + | 0.0997734i | ||||
\(340\) | −0.443589 | − | 2.51572i | −0.0240570 | − | 0.136434i | ||||
\(341\) | 1.06719 | + | 1.84843i | 0.0577918 | + | 0.100098i | ||||
\(342\) | −5.12625 | + | 1.72920i | −0.277196 | + | 0.0935045i | ||||
\(343\) | −14.0627 | − | 12.0516i | −0.759312 | − | 0.650727i | ||||
\(344\) | −1.18949 | + | 0.209740i | −0.0641331 | + | 0.0113084i | ||||
\(345\) | 0.758339 | + | 0.00899772i | 0.0408276 | + | 0.000484421i | ||||
\(346\) | −1.43120 | + | 1.70563i | −0.0769416 | + | 0.0916955i | ||||
\(347\) | −11.1036 | − | 30.5068i | −0.596071 | − | 1.63769i | −0.759028 | − | 0.651057i | \(-0.774326\pi\) |
0.162958 | − | 0.986633i | \(-0.447897\pi\) | |||||||
\(348\) | −13.0884 | + | 4.58866i | −0.701610 | + | 0.245978i | ||||
\(349\) | −6.71581 | − | 8.00359i | −0.359489 | − | 0.428422i | 0.555740 | − | 0.831356i | \(-0.312435\pi\) |
−0.915229 | + | 0.402934i | \(0.867990\pi\) | |||||||
\(350\) | −4.38494 | + | 3.24088i | −0.234385 | + | 0.173232i | ||||
\(351\) | −24.7544 | + | 8.02440i | −1.32129 | + | 0.428311i | ||||
\(352\) | −3.50717 | + | 6.07460i | −0.186933 | + | 0.323777i | ||||
\(353\) | 4.68991 | + | 1.70699i | 0.249618 | + | 0.0908537i | 0.463799 | − | 0.885940i | \(-0.346486\pi\) |
−0.214181 | + | 0.976794i | \(0.568708\pi\) | |||||||
\(354\) | −1.33681 | + | 0.468675i | −0.0710508 | + | 0.0249098i | ||||
\(355\) | 0.674717 | − | 0.804097i | 0.0358103 | − | 0.0426770i | ||||
\(356\) | −14.0698 | + | 5.12099i | −0.745698 | + | 0.271412i | ||||
\(357\) | 3.58687 | + | 35.3854i | 0.189837 | + | 1.87279i | ||||
\(358\) | 1.07120 | + | 6.07508i | 0.0566148 | + | 0.321078i | ||||
\(359\) | 16.1906i | 0.854506i | 0.904132 | + | 0.427253i | \(0.140519\pi\) | ||||
−0.904132 | + | 0.427253i | \(0.859481\pi\) | |||||||
\(360\) | −0.752902 | + | 0.411185i | −0.0396814 | + | 0.0216713i | ||||
\(361\) | 0.105445 | 0.00554976 | ||||||||
\(362\) | 2.01450 | − | 1.69037i | 0.105880 | − | 0.0888437i | ||||
\(363\) | −5.18751 | + | 13.7430i | −0.272274 | + | 0.721321i | ||||
\(364\) | 10.7945 | + | 21.6809i | 0.565787 | + | 1.13639i | ||||
\(365\) | −0.991979 | + | 1.18219i | −0.0519225 | + | 0.0618789i | ||||
\(366\) | −1.22066 | − | 1.49028i | −0.0638047 | − | 0.0778980i | ||||
\(367\) | −11.3391 | + | 1.99938i | −0.591895 | + | 0.104367i | −0.461569 | − | 0.887104i | \(-0.652713\pi\) |
−0.130326 | + | 0.991471i | \(0.541602\pi\) | |||||||
\(368\) | 7.28754i | 0.379889i | ||||||||
\(369\) | 17.3014 | − | 28.3893i | 0.900675 | − | 1.47789i | ||||
\(370\) | −0.270478 | + | 0.156161i | −0.0140615 | + | 0.00811841i | ||||
\(371\) | −6.02409 | + | 25.0303i | −0.312755 | + | 1.29951i | ||||
\(372\) | −4.25731 | − | 0.0505132i | −0.220731 | − | 0.00261898i | ||||
\(373\) | −5.79313 | + | 32.8545i | −0.299957 | + | 1.70114i | 0.346386 | + | 0.938092i | \(0.387409\pi\) |
−0.646343 | + | 0.763047i | \(0.723702\pi\) | |||||||
\(374\) | 4.80228 | − | 1.74789i | 0.248320 | − | 0.0903811i | ||||
\(375\) | −1.02850 | − | 2.93363i | −0.0531117 | − | 0.151492i | ||||
\(376\) | −14.4445 | + | 2.54695i | −0.744917 | + | 0.131349i | ||||
\(377\) | 21.9390 | 1.12992 | ||||||||
\(378\) | 5.19292 | − | 2.35873i | 0.267095 | − | 0.121320i | ||||
\(379\) | −12.4601 | −0.640032 | −0.320016 | − | 0.947412i | \(-0.603688\pi\) | ||||
−0.320016 | + | 0.947412i | \(0.603688\pi\) | |||||||
\(380\) | −1.40895 | + | 0.248436i | −0.0722777 | + | 0.0127445i | ||||
\(381\) | 17.8837 | + | 3.37262i | 0.916208 | + | 0.172785i | ||||
\(382\) | −6.60629 | + | 2.40449i | −0.338007 | + | 0.123024i | ||||
\(383\) | 5.05101 | − | 28.6457i | 0.258094 | − | 1.46373i | −0.529908 | − | 0.848055i | \(-0.677774\pi\) |
0.788003 | − | 0.615672i | \(-0.211115\pi\) | |||||||
\(384\) | −8.96085 | − | 15.9549i | −0.457282 | − | 0.814193i | ||||
\(385\) | −0.548181 | − | 0.520790i | −0.0279379 | − | 0.0265419i | ||||
\(386\) | −4.40296 | + | 2.54205i | −0.224105 | + | 0.129387i | ||||
\(387\) | −0.449419 | + | 2.23702i | −0.0228453 | + | 0.113714i | ||||
\(388\) | 8.75503i | 0.444469i | ||||||||
\(389\) | 10.6003 | − | 1.86913i | 0.537459 | − | 0.0947685i | 0.101671 | − | 0.994818i | \(-0.467581\pi\) |
0.435788 | + | 0.900050i | \(0.356470\pi\) | |||||||
\(390\) | 0.639435 | − | 0.104943i | 0.0323790 | − | 0.00531400i | ||||
\(391\) | 12.1313 | − | 14.4575i | 0.613505 | − | 0.731147i | ||||
\(392\) | −6.04401 | − | 9.32987i | −0.305269 | − | 0.471230i | ||||
\(393\) | −24.9223 | + | 4.09020i | −1.25716 | + | 0.206324i | ||||
\(394\) | 4.31721 | − | 3.62257i | 0.217498 | − | 0.182502i | ||||
\(395\) | −0.917134 | −0.0461460 | ||||||||
\(396\) | 5.43464 | + | 6.79801i | 0.273101 | + | 0.341613i | ||||
\(397\) | − | 39.1821i | − | 1.96650i | −0.182275 | − | 0.983248i | \(-0.558346\pi\) | ||
0.182275 | − | 0.983248i | \(-0.441654\pi\) | |||||||
\(398\) | −0.507146 | − | 2.87617i | −0.0254209 | − | 0.144169i | ||||
\(399\) | 19.8179 | − | 2.00886i | 0.992137 | − | 0.100569i | ||||
\(400\) | 13.9896 | − | 5.09181i | 0.699482 | − | 0.254590i | ||||
\(401\) | 6.65975 | − | 7.93679i | 0.332572 | − | 0.396344i | −0.573681 | − | 0.819079i | \(-0.694485\pi\) |
0.906254 | + | 0.422734i | \(0.138930\pi\) | |||||||
\(402\) | −2.26674 | − | 1.94831i | −0.113055 | − | 0.0971729i | ||||
\(403\) | 6.32864 | + | 2.30344i | 0.315252 | + | 0.114742i | ||||
\(404\) | −11.4427 | + | 19.8193i | −0.569294 | + | 0.986045i | ||||
\(405\) | 0.205381 | + | 1.60751i | 0.0102055 | + | 0.0798780i | ||||
\(406\) | −4.77790 | + | 0.541657i | −0.237123 | + | 0.0268820i | ||||
\(407\) | 4.26527 | + | 5.08315i | 0.211421 | + | 0.251962i | ||||
\(408\) | −3.95628 | + | 20.9786i | −0.195865 | + | 1.03859i | ||||
\(409\) | 8.09126 | + | 22.2306i | 0.400087 | + | 1.09923i | 0.962241 | + | 0.272198i | \(0.0877506\pi\) |
−0.562154 | + | 0.827033i | \(0.690027\pi\) | |||||||
\(410\) | −0.532137 | + | 0.634176i | −0.0262804 | + | 0.0313197i | ||||
\(411\) | 5.38878 | + | 9.59475i | 0.265809 | + | 0.473274i | ||||
\(412\) | −5.04723 | + | 0.889964i | −0.248659 | + | 0.0438454i | ||||
\(413\) | 5.18261 | − | 0.587538i | 0.255019 | − | 0.0289109i | ||||
\(414\) | −2.81860 | − | 1.10230i | −0.138527 | − | 0.0541752i | ||||
\(415\) | −1.19427 | − | 2.06854i | −0.0586245 | − | 0.101541i | ||||
\(416\) | 3.84334 | + | 21.7966i | 0.188435 | + | 1.06867i | ||||
\(417\) | −20.6110 | + | 16.8821i | −1.00933 | + | 0.826720i | ||||
\(418\) | −0.978921 | − | 2.68956i | −0.0478806 | − | 0.131551i | ||||
\(419\) | 0.297747 | + | 0.249839i | 0.0145459 | + | 0.0122054i | 0.650032 | − | 0.759907i | \(-0.274756\pi\) |
−0.635486 | + | 0.772113i | \(0.719200\pi\) | |||||||
\(420\) | 1.45139 | − | 0.410377i | 0.0708208 | − | 0.0200243i | ||||
\(421\) | −29.2829 | − | 10.6581i | −1.42716 | − | 0.519444i | −0.491044 | − | 0.871135i | \(-0.663385\pi\) |
−0.936116 | + | 0.351691i | \(0.885607\pi\) | |||||||
\(422\) | 4.75590 | − | 2.74582i | 0.231513 | − | 0.133664i | ||||
\(423\) | −5.45748 | + | 27.1650i | −0.265352 | + | 1.32081i | ||||
\(424\) | −7.72652 | + | 13.3827i | −0.375233 | + | 0.649922i | ||||
\(425\) | −36.2297 | − | 13.1865i | −1.75740 | − | 0.639640i | ||||
\(426\) | −3.65227 | + | 2.05125i | −0.176953 | + | 0.0993836i | ||||
\(427\) | 3.16123 | + | 6.34937i | 0.152983 | + | 0.307268i | ||||
\(428\) | 14.1856 | + | 2.50131i | 0.685688 | + | 0.120905i | ||||
\(429\) | −4.55483 | − | 12.9919i | −0.219909 | − | 0.627253i | ||||
\(430\) | 0.0194326 | − | 0.0533907i | 0.000937124 | − | 0.00257473i | ||||
\(431\) | 20.9763 | − | 12.1107i | 1.01039 | − | 0.583352i | 0.0990874 | − | 0.995079i | \(-0.468408\pi\) |
0.911307 | + | 0.411727i | \(0.135074\pi\) | |||||||
\(432\) | −15.4224 | + | 2.15668i | −0.742011 | + | 0.103763i | ||||
\(433\) | − | 10.0296i | − | 0.481991i | −0.970526 | − | 0.240995i | \(-0.922526\pi\) | ||
0.970526 | − | 0.240995i | \(-0.0774739\pi\) | |||||||
\(434\) | −1.43513 | − | 0.345395i | −0.0688882 | − | 0.0165795i | ||||
\(435\) | 0.253198 | − | 1.34261i | 0.0121399 | − | 0.0643732i | ||||
\(436\) | −24.3599 | − | 20.4403i | −1.16663 | − | 0.978915i | ||||
\(437\) | −8.09706 | − | 6.79424i | −0.387335 | − | 0.325013i | ||||
\(438\) | 5.36962 | − | 3.01578i | 0.256570 | − | 0.144100i | ||||
\(439\) | −14.0388 | + | 38.5712i | −0.670034 | + | 1.84090i | −0.145834 | + | 0.989309i | \(0.546587\pi\) |
−0.524200 | + | 0.851595i | \(0.675636\pi\) | |||||||
\(440\) | −0.226926 | − | 0.393048i | −0.0108183 | − | 0.0187378i | ||||
\(441\) | −20.5728 | + | 4.21407i | −0.979659 | + | 0.200670i | ||||
\(442\) | 8.06274 | − | 13.9651i | 0.383506 | − | 0.664251i | ||||
\(443\) | −22.4132 | − | 26.7110i | −1.06488 | − | 1.26908i | −0.961609 | − | 0.274424i | \(-0.911513\pi\) |
−0.103273 | − | 0.994653i | \(-0.532932\pi\) | |||||||
\(444\) | −13.0617 | + | 2.14367i | −0.619881 | + | 0.101734i | ||||
\(445\) | 0.256125 | − | 1.45256i | 0.0121415 | − | 0.0688578i | ||||
\(446\) | 5.12623 | − | 1.86580i | 0.242734 | − | 0.0883480i | ||||
\(447\) | 28.2482 | + | 10.6627i | 1.33609 | + | 0.504329i | ||||
\(448\) | 3.12030 | + | 10.5557i | 0.147420 | + | 0.498711i | ||||
\(449\) | 0.655683 | + | 0.378559i | 0.0309436 | + | 0.0178653i | 0.515392 | − | 0.856955i | \(-0.327646\pi\) |
−0.484448 | + | 0.874820i | \(0.660980\pi\) | |||||||
\(450\) | −0.146695 | + | 6.18094i | −0.00691527 | + | 0.291373i | ||||
\(451\) | 15.2322 | + | 8.79433i | 0.717258 | + | 0.414109i | ||||
\(452\) | −3.52872 | − | 4.20536i | −0.165977 | − | 0.197804i | ||||
\(453\) | 3.42438 | + | 2.03162i | 0.160891 | + | 0.0954536i | ||||
\(454\) | 1.03405 | + | 2.84103i | 0.0485305 | + | 0.133336i | ||||
\(455\) | −2.38133 | − | 0.146989i | −0.111638 | − | 0.00689096i | ||||
\(456\) | 11.7493 | + | 2.21575i | 0.550209 | + | 0.103762i | ||||
\(457\) | −5.45161 | − | 30.9176i | −0.255015 | − | 1.44626i | −0.796033 | − | 0.605253i | \(-0.793072\pi\) |
0.541018 | − | 0.841011i | \(-0.318039\pi\) | |||||||
\(458\) | −0.856242 | − | 1.48305i | −0.0400096 | − | 0.0692986i | ||||
\(459\) | 34.1861 | + | 21.3945i | 1.59567 | + | 0.998611i | ||||
\(460\) | −0.693126 | − | 0.400177i | −0.0323172 | − | 0.0186583i | ||||
\(461\) | −8.35408 | + | 7.00990i | −0.389088 | + | 0.326484i | −0.816258 | − | 0.577688i | \(-0.803955\pi\) |
0.427170 | + | 0.904171i | \(0.359511\pi\) | |||||||
\(462\) | 1.31271 | + | 2.71692i | 0.0610730 | + | 0.126403i | ||||
\(463\) | 1.23596 | − | 7.00945i | 0.0574397 | − | 0.325757i | −0.942525 | − | 0.334135i | \(-0.891556\pi\) |
0.999965 | + | 0.00837823i | \(0.00266690\pi\) | |||||||
\(464\) | 12.9294 | + | 2.27979i | 0.600230 | + | 0.105837i | ||||
\(465\) | 0.214003 | − | 0.360712i | 0.00992414 | − | 0.0167276i | ||||
\(466\) | 4.65711 | − | 3.90778i | 0.215736 | − | 0.181024i | ||||
\(467\) | 13.2274 | 0.612090 | 0.306045 | − | 0.952017i | \(-0.400994\pi\) | ||||
0.306045 | + | 0.952017i | \(0.400994\pi\) | |||||||
\(468\) | 26.9244 | + | 5.40913i | 1.24458 | + | 0.250037i | ||||
\(469\) | 6.54122 | + | 8.85033i | 0.302045 | + | 0.408670i | ||||
\(470\) | 0.235978 | − | 0.648344i | 0.0108849 | − | 0.0299059i | ||||
\(471\) | 1.57510 | + | 9.59733i | 0.0725768 | + | 0.442222i | ||||
\(472\) | 3.08314 | + | 0.543641i | 0.141913 | + | 0.0250231i | ||||
\(473\) | −1.18880 | − | 0.209617i | −0.0546610 | − | 0.00963820i | ||||
\(474\) | 3.42415 | + | 1.29250i | 0.157276 | + | 0.0593664i | ||||
\(475\) | −7.38524 | + | 20.2908i | −0.338858 | + | 0.931005i | ||||
\(476\) | 14.9862 | − | 34.4131i | 0.686891 | − | 1.57732i | ||||
\(477\) | 18.2284 | + | 22.8014i | 0.834623 | + | 1.04400i | ||||
\(478\) | 9.46353 | 0.432852 | ||||||||
\(479\) | 1.52575 | − | 1.28025i | 0.0697132 | − | 0.0584963i | −0.607265 | − | 0.794499i | \(-0.707733\pi\) |
0.676978 | + | 0.736003i | \(0.263289\pi\) | |||||||
\(480\) | 1.37825 | + | 0.0163530i | 0.0629083 | + | 0.000746410i | ||||
\(481\) | 20.6197 | + | 3.63580i | 0.940175 | + | 0.165778i | ||||
\(482\) | −0.0567527 | + | 0.321861i | −0.00258501 | + | 0.0146603i | ||||
\(483\) | 9.21512 | + | 6.26539i | 0.419302 | + | 0.285085i | ||||
\(484\) | 11.8754 | − | 9.96464i | 0.539791 | − | 0.452938i | ||||
\(485\) | −0.746909 | − | 0.431228i | −0.0339154 | − | 0.0195811i | ||||
\(486\) | 1.49864 | − | 6.29114i | 0.0679795 | − | 0.285372i | ||||
\(487\) | −7.16028 | − | 12.4020i | −0.324463 | − | 0.561987i | 0.656940 | − | 0.753943i | \(-0.271850\pi\) |
−0.981404 | + | 0.191956i | \(0.938517\pi\) | |||||||
\(488\) | 0.739281 | + | 4.19267i | 0.0334657 | + | 0.189793i | ||||
\(489\) | −10.9847 | − | 31.3319i | −0.496745 | − | 1.41688i | ||||
\(490\) | 0.522236 | − | 0.0267816i | 0.0235922 | − | 0.00120987i | ||||
\(491\) | 9.11592 | + | 25.0458i | 0.411396 | + | 1.13030i | 0.956449 | + | 0.291899i | \(0.0942871\pi\) |
−0.545053 | + | 0.838401i | \(0.683491\pi\) | |||||||
\(492\) | −30.5908 | + | 17.1809i | −1.37914 | + | 0.774577i | ||||
\(493\) | −21.8550 | − | 26.0458i | −0.984300 | − | 1.17304i | ||||
\(494\) | −7.82128 | − | 4.51562i | −0.351896 | − | 0.203167i | ||||
\(495\) | −0.847634 | + | 0.128805i | −0.0380983 | + | 0.00578933i | ||||
\(496\) | 3.49030 | + | 2.01513i | 0.156719 | + | 0.0904819i | ||||
\(497\) | 14.7906 | − | 4.37214i | 0.663447 | − | 0.196117i | ||||
\(498\) | 1.54370 | + | 9.40601i | 0.0691749 | + | 0.421493i | ||||
\(499\) | −20.0327 | + | 7.29129i | −0.896785 | + | 0.326403i | −0.748964 | − | 0.662611i | \(-0.769448\pi\) |
−0.147821 | + | 0.989014i | \(0.547226\pi\) | |||||||
\(500\) | −0.569687 | + | 3.23086i | −0.0254772 | + | 0.144488i | ||||
\(501\) | −5.75718 | + | 15.2522i | −0.257212 | + | 0.681419i | ||||
\(502\) | 3.08385 | + | 3.67519i | 0.137639 | + | 0.164032i | ||||
\(503\) | −6.74300 | + | 11.6792i | −0.300655 | + | 0.520751i | −0.976285 | − | 0.216491i | \(-0.930539\pi\) |
0.675629 | + | 0.737242i | \(0.263872\pi\) | |||||||
\(504\) | −12.5590 | − | 1.07486i | −0.559423 | − | 0.0478780i | ||||
\(505\) | −1.12721 | − | 1.95239i | −0.0501604 | − | 0.0868803i | ||||
\(506\) | 0.547626 | − | 1.50459i | 0.0243450 | − | 0.0668872i | ||||
\(507\) | −17.9953 | − | 10.6762i | −0.799198 | − | 0.474147i | ||||
\(508\) | −14.7125 | − | 12.3453i | −0.652763 | − | 0.547733i | ||||
\(509\) | −6.79910 | − | 5.70512i | −0.301365 | − | 0.252875i | 0.479547 | − | 0.877516i | \(-0.340801\pi\) |
−0.780912 | + | 0.624641i | \(0.785245\pi\) | |||||||
\(510\) | −0.761574 | − | 0.654589i | −0.0337231 | − | 0.0289857i | ||||
\(511\) | −21.7453 | + | 6.42797i | −0.961954 | + | 0.284357i | ||||
\(512\) | 22.7635i | 1.00601i | ||||||||
\(513\) | 11.9822 | − | 19.1463i | 0.529028 | − | 0.845328i | ||||
\(514\) | −3.65486 | + | 2.11014i | −0.161209 | + | 0.0930741i | ||||
\(515\) | 0.172677 | − | 0.474425i | 0.00760904 | − | 0.0209057i | ||||
\(516\) | 1.56958 | − | 1.82611i | 0.0690970 | − | 0.0803900i | ||||
\(517\) | −14.4360 | − | 2.54546i | −0.634897 | − | 0.111949i | ||||
\(518\) | −4.58033 | − | 0.282725i | −0.201248 | − | 0.0124222i | ||||
\(519\) | 0.110286 | − | 9.29503i | 0.00484101 | − | 0.408007i | ||||
\(520\) | −1.34571 | − | 0.489798i | −0.0590133 | − | 0.0214791i | ||||
\(521\) | 21.3144 | − | 36.9177i | 0.933802 | − | 1.61739i | 0.157046 | − | 0.987591i | \(-0.449803\pi\) |
0.776756 | − | 0.629802i | \(-0.216864\pi\) | |||||||
\(522\) | −2.83743 | + | 4.65584i | −0.124191 | + | 0.203781i | ||||
\(523\) | −19.7089 | + | 11.3789i | −0.861809 | + | 0.497565i | −0.864617 | − | 0.502431i | \(-0.832439\pi\) |
0.00280898 | + | 0.999996i | \(0.499106\pi\) | |||||||
\(524\) | 25.0457 | + | 9.11587i | 1.09412 | + | 0.398229i | ||||
\(525\) | 5.58885 | − | 22.0676i | 0.243917 | − | 0.963108i | ||||
\(526\) | −5.46851 | − | 4.58862i | −0.238438 | − | 0.200074i | ||||
\(527\) | −3.56979 | − | 9.80791i | −0.155502 | − | 0.427239i | ||||
\(528\) | −1.33426 | − | 8.12983i | −0.0580660 | − | 0.353805i | ||||
\(529\) | 2.96712 | + | 16.8274i | 0.129005 | + | 0.731625i | ||||
\(530\) | −0.363457 | − | 0.629526i | −0.0157876 | − | 0.0273449i | ||||
\(531\) | 3.07777 | − | 5.05021i | 0.133564 | − | 0.219161i | ||||
\(532\) | −19.2734 | − | 8.39316i | −0.835606 | − | 0.363890i | ||||
\(533\) | 54.6557 | − | 9.63728i | 2.36740 | − | 0.417437i | ||||
\(534\) | −3.00331 | + | 5.06221i | −0.129966 | + | 0.219063i | ||||
\(535\) | −0.912103 | + | 1.08700i | −0.0394336 | + | 0.0469952i | ||||
\(536\) | 2.25930 | + | 6.20737i | 0.0975867 | + | 0.268117i | ||||
\(537\) | −19.5312 | − | 16.7875i | −0.842832 | − | 0.724433i | ||||
\(538\) | 2.71772 | + | 3.23885i | 0.117169 | + | 0.139637i | ||||
\(539\) | −2.48706 | − | 10.8281i | −0.107125 | − | 0.466397i | ||||
\(540\) | 0.641758 | − | 1.58527i | 0.0276169 | − | 0.0682192i | ||||
\(541\) | −1.69482 | + | 2.93552i | −0.0728660 | + | 0.126208i | −0.900156 | − | 0.435567i | \(-0.856548\pi\) |
0.827290 | + | 0.561775i | \(0.189881\pi\) | |||||||
\(542\) | 3.08387 | + | 1.12244i | 0.132463 | + | 0.0482127i | ||||
\(543\) | −2.03463 | + | 10.7888i | −0.0873142 | + | 0.462993i | ||||
\(544\) | 22.0482 | − | 26.2760i | 0.945307 | − | 1.12657i | ||||
\(545\) | 2.94365 | − | 1.07140i | 0.126092 | − | 0.0458938i | ||||
\(546\) | 8.68360 | + | 3.90474i | 0.371624 | + | 0.167107i | ||||
\(547\) | −0.794100 | − | 4.50356i | −0.0339532 | − | 0.192558i | 0.963113 | − | 0.269096i | \(-0.0867247\pi\) |
−0.997067 | + | 0.0765371i | \(0.975614\pi\) | |||||||
\(548\) | − | 11.6133i | − | 0.496097i | ||||||
\(549\) | 7.88494 | + | 1.58409i | 0.336521 | + | 0.0676074i | ||||
\(550\) | −3.27094 | −0.139473 | ||||||||
\(551\) | −14.5872 | + | 12.2401i | −0.621435 | + | 0.521446i | ||||
\(552\) | 4.23826 | + | 5.17442i | 0.180392 | + | 0.220238i | ||||
\(553\) | −11.2331 | − | 7.44408i | −0.477679 | − | 0.316555i | ||||
\(554\) | −3.66410 | + | 4.36671i | −0.155673 | + | 0.185524i | ||||
\(555\) | 0.460473 | − | 1.21991i | 0.0195460 | − | 0.0517822i | ||||
\(556\) | 27.6894 | − | 4.88239i | 1.17429 | − | 0.207059i | ||||
\(557\) | − | 28.3433i | − | 1.20094i | −0.799646 | − | 0.600472i | \(-0.794979\pi\) | ||
0.799646 | − | 0.600472i | \(-0.205021\pi\) | |||||||
\(558\) | −1.30733 | + | 1.04514i | −0.0553436 | + | 0.0442442i | ||||
\(559\) | −3.29867 | + | 1.90449i | −0.139519 | + | 0.0805511i | ||||
\(560\) | −1.38812 | − | 0.334081i | −0.0586586 | − | 0.0141175i | ||||
\(561\) | −10.8864 | + | 18.3496i | −0.459625 | + | 0.774719i | ||||
\(562\) | −0.200758 | + | 1.13856i | −0.00846848 | + | 0.0480271i | ||||
\(563\) | 4.56240 | − | 1.66058i | 0.192282 | − | 0.0699851i | −0.244084 | − | 0.969754i | \(-0.578487\pi\) |
0.436367 | + | 0.899769i | \(0.356265\pi\) | |||||||
\(564\) | 19.0601 | − | 22.1752i | 0.802574 | − | 0.933744i | ||||
\(565\) | 0.532575 | − | 0.0939073i | 0.0224056 | − | 0.00395071i | ||||
\(566\) | 6.81026 | 0.286257 | ||||||||
\(567\) | −10.5322 | + | 21.3559i | −0.442309 | + | 0.896863i | ||||
\(568\) | 9.25755 | 0.388438 | ||||||||
\(569\) | 24.0084 | − | 4.23332i | 1.00648 | − | 0.177470i | 0.353978 | − | 0.935254i | \(-0.384829\pi\) |
0.652506 | + | 0.757784i | \(0.273718\pi\) | |||||||
\(570\) | −0.366609 | + | 0.426527i | −0.0153556 | + | 0.0178652i | ||||
\(571\) | 6.78414 | − | 2.46923i | 0.283908 | − | 0.103334i | −0.196141 | − | 0.980576i | \(-0.562841\pi\) |
0.480049 | + | 0.877242i | \(0.340619\pi\) | |||||||
\(572\) | −2.52292 | + | 14.3082i | −0.105488 | + | 0.598254i | ||||
\(573\) | 14.9760 | − | 25.2427i | 0.625630 | − | 1.05453i | ||||
\(574\) | −11.6650 | + | 3.44822i | −0.486889 | + | 0.143926i | ||||
\(575\) | −10.4612 | + | 6.03976i | −0.436261 | + | 0.251875i | ||||
\(576\) | 11.6238 | + | 4.54584i | 0.484323 | + | 0.189410i | ||||
\(577\) | − | 26.1510i | − | 1.08868i | −0.838864 | − | 0.544340i | \(-0.816780\pi\) | ||
0.838864 | − | 0.544340i | \(-0.183220\pi\) | |||||||
\(578\) | −17.6655 | + | 3.11490i | −0.734786 | + | 0.129563i | ||||
\(579\) | 7.49577 | − | 19.8582i | 0.311513 | − | 0.825277i | ||||
\(580\) | −0.926816 | + | 1.10454i | −0.0384839 | + | 0.0458634i | ||||
\(581\) | 2.16220 | − | 35.0290i | 0.0897030 | − | 1.45325i | ||||
\(582\) | 2.18089 | + | 2.66261i | 0.0904007 | + | 0.110369i | ||||
\(583\) | −11.8308 | + | 9.92722i | −0.489982 | + | 0.411143i | ||||
\(584\) | −13.6106 | −0.563210 | ||||||||
\(585\) | −1.78762 | + | 2.03054i | −0.0739090 | + | 0.0839527i | ||||
\(586\) | − | 0.646165i | − | 0.0266928i | ||||||
\(587\) | −3.34943 | − | 18.9956i | −0.138246 | − | 0.784031i | −0.972544 | − | 0.232718i | \(-0.925238\pi\) |
0.834298 | − | 0.551313i | \(-0.185873\pi\) | |||||||
\(588\) | 21.1076 | + | 6.75419i | 0.870463 | + | 0.278538i | ||||
\(589\) | −5.49302 | + | 1.99929i | −0.226336 | + | 0.0823795i | ||||
\(590\) | −0.0946628 | + | 0.112815i | −0.00389720 | + | 0.00464451i | ||||
\(591\) | −4.36034 | + | 23.1212i | −0.179361 | + | 0.951078i | ||||
\(592\) | 11.7740 | + | 4.28539i | 0.483908 | + | 0.176128i | ||||
\(593\) | −19.5311 | + | 33.8289i | −0.802047 | + | 1.38919i | 0.116219 | + | 0.993224i | \(0.462922\pi\) |
−0.918266 | + | 0.395963i | \(0.870411\pi\) | |||||||
\(594\) | 3.34619 | + | 0.713657i | 0.137296 | + | 0.0292817i | ||||
\(595\) | 2.19770 | + | 2.97351i | 0.0900971 | + | 0.121902i | ||||
\(596\) | −20.4819 | − | 24.4094i | −0.838972 | − | 0.999848i | ||||
\(597\) | 9.24677 | + | 7.94781i | 0.378445 | + | 0.325282i | ||||
\(598\) | −1.72797 | − | 4.74755i | −0.0706618 | − | 0.194142i | ||||
\(599\) | 5.53430 | − | 6.59552i | 0.226125 | − | 0.269486i | −0.641038 | − | 0.767509i | \(-0.721496\pi\) |
0.867164 | + | 0.498023i | \(0.165941\pi\) | |||||||
\(600\) | 6.97187 | − | 11.7514i | 0.284625 | − | 0.479749i | ||||
\(601\) | 41.3305 | − | 7.28768i | 1.68591 | − | 0.297271i | 0.753168 | − | 0.657828i | \(-0.228525\pi\) |
0.932737 | + | 0.360557i | \(0.117413\pi\) | |||||||
\(602\) | 0.671366 | − | 0.496202i | 0.0273628 | − | 0.0202237i | ||||
\(603\) | 12.4753 | + | 0.296081i | 0.508033 | + | 0.0120574i | ||||
\(604\) | −2.10100 | − | 3.63903i | −0.0854883 | − | 0.148070i | ||||
\(605\) | 0.265182 | + | 1.50392i | 0.0107812 | + | 0.0611431i | ||||
\(606\) | 1.45702 | + | 8.87787i | 0.0591875 | + | 0.360639i | ||||
\(607\) | 15.1581 | + | 41.6466i | 0.615249 | + | 1.69038i | 0.718323 | + | 0.695710i | \(0.244910\pi\) |
−0.103073 | + | 0.994674i | \(0.532868\pi\) | |||||||
\(608\) | −14.7161 | − | 12.3483i | −0.596817 | − | 0.500789i | ||||
\(609\) | 13.9987 | − | 14.3892i | 0.567256 | − | 0.583079i | ||||
\(610\) | −0.188189 | − | 0.0684952i | −0.00761955 | − | 0.00277329i | ||||
\(611\) | −40.0570 | + | 23.1269i | −1.62053 | + | 0.935615i | ||||
\(612\) | −20.3996 | − | 37.3528i | −0.824605 | − | 1.50990i | ||||
\(613\) | −22.3176 | + | 38.6553i | −0.901401 | + | 1.56127i | −0.0757236 | + | 0.997129i | \(0.524127\pi\) |
−0.825677 | + | 0.564143i | \(0.809207\pi\) | |||||||
\(614\) | −0.637493 | − | 0.232028i | −0.0257271 | − | 0.00936390i | ||||
\(615\) | 0.0410057 | − | 3.45601i | 0.00165351 | − | 0.139360i | ||||
\(616\) | 0.410843 | − | 6.65594i | 0.0165534 | − | 0.268176i | ||||
\(617\) | 26.5556 | + | 4.68248i | 1.06909 | + | 0.188509i | 0.680386 | − | 0.732854i | \(-0.261812\pi\) |
0.388703 | + | 0.921363i | \(0.372923\pi\) | |||||||
\(618\) | −1.31329 | + | 1.52793i | −0.0528282 | + | 0.0614623i | ||||
\(619\) | 13.2165 | − | 36.3120i | 0.531215 | − | 1.45950i | −0.326411 | − | 0.945228i | \(-0.605839\pi\) |
0.857626 | − | 0.514274i | \(-0.171939\pi\) | |||||||
\(620\) | −0.383322 | + | 0.221311i | −0.0153946 | + | 0.00888807i | ||||
\(621\) | 12.0196 | − | 3.89628i | 0.482330 | − | 0.156352i | ||||
\(622\) | 4.92809i | 0.197599i | ||||||||
\(623\) | 14.9270 | − | 15.7121i | 0.598036 | − | 0.629491i | ||||
\(624\) | −19.7143 | − | 16.9449i | −0.789205 | − | 0.678339i | ||||
\(625\) | 18.7794 | + | 15.7577i | 0.751174 | + | 0.630310i | ||||
\(626\) | 0.589500 | + | 0.494650i | 0.0235612 | + | 0.0197702i | ||||
\(627\) | 10.2769 | + | 6.09705i | 0.410418 | + | 0.243493i | ||||
\(628\) | 3.51044 | − | 9.64485i | 0.140082 | − | 0.384871i | ||||
\(629\) | −16.2243 | − | 28.1013i | −0.646906 | − | 1.12047i | ||||
\(630\) | 0.339177 | − | 0.486349i | 0.0135131 | − | 0.0193766i | ||||
\(631\) | −5.01811 | + | 8.69163i | −0.199768 | + | 0.346008i | −0.948453 | − | 0.316917i | \(-0.897352\pi\) |
0.748685 | + | 0.662926i | \(0.230686\pi\) | |||||||
\(632\) | −5.19927 | − | 6.19625i | −0.206816 | − | 0.246474i | ||||
\(633\) | −8.09662 | + | 21.4500i | −0.321812 | + | 0.852560i | ||||
\(634\) | 1.52169 | − | 8.62995i | 0.0604341 | − | 0.342739i | ||||
\(635\) | 1.77786 | − | 0.647090i | 0.0705524 | − | 0.0256790i | ||||
\(636\) | −4.98930 | − | 30.4006i | −0.197838 | − | 1.20546i | ||||
\(637\) | −27.9735 | − | 21.1288i | −1.10835 | − | 0.837153i | ||||
\(638\) | −2.49809 | − | 1.44227i | −0.0989002 | − | 0.0571001i | ||||
\(639\) | 6.36958 | − | 16.2871i | 0.251977 | − | 0.644307i | ||||
\(640\) | −1.64750 | − | 0.951186i | −0.0651233 | − | 0.0375989i | ||||
\(641\) | 20.4966 | + | 24.4269i | 0.809567 | + | 0.964804i | 0.999857 | − | 0.0169239i | \(-0.00538730\pi\) |
−0.190290 | + | 0.981728i | \(0.560943\pi\) | |||||||
\(642\) | 4.93725 | − | 2.77295i | 0.194858 | − | 0.109439i | ||||
\(643\) | −4.12226 | − | 11.3258i | −0.162566 | − | 0.446646i | 0.831487 | − | 0.555544i | \(-0.187490\pi\) |
−0.994053 | + | 0.108898i | \(0.965268\pi\) | |||||||
\(644\) | −5.24132 | − | 10.5273i | −0.206537 | − | 0.414832i | ||||
\(645\) | 0.0784795 | + | 0.223849i | 0.00309013 | + | 0.00881405i | ||||
\(646\) | 2.43043 | + | 13.7837i | 0.0956242 | + | 0.542312i | ||||
\(647\) | 21.3692 | + | 37.0126i | 0.840111 | + | 1.45512i | 0.889800 | + | 0.456351i | \(0.150844\pi\) |
−0.0496886 | + | 0.998765i | \(0.515823\pi\) | |||||||
\(648\) | −9.69620 | + | 10.5006i | −0.380903 | + | 0.412504i | ||||
\(649\) | 2.70969 | + | 1.56444i | 0.106365 | + | 0.0614096i | ||||
\(650\) | −7.90637 | + | 6.63424i | −0.310114 | + | 0.260216i | ||||
\(651\) | 5.54889 | − | 2.68101i | 0.217478 | − | 0.105077i | ||||
\(652\) | −6.08441 | + | 34.5064i | −0.238284 | + | 1.35137i | ||||
\(653\) | 14.0027 | + | 2.46906i | 0.547970 | + | 0.0966218i | 0.440777 | − | 0.897616i | \(-0.354703\pi\) |
0.107192 | + | 0.994238i | \(0.465814\pi\) | |||||||
\(654\) | −12.5001 | − | 0.148314i | −0.488793 | − | 0.00579954i | ||||
\(655\) | −2.01132 | + | 1.68769i | −0.0785886 | + | 0.0659437i | ||||
\(656\) | 33.2118 | 1.29670 | ||||||||
\(657\) | −9.36465 | + | 23.9455i | −0.365350 | + | 0.934202i | ||||
\(658\) | 8.15267 | − | 6.02558i | 0.317824 | − | 0.234902i | ||||
\(659\) | 0.747205 | − | 2.05293i | 0.0291070 | − | 0.0799707i | −0.924288 | − | 0.381696i | \(-0.875340\pi\) |
0.953395 | + | 0.301725i | \(0.0975624\pi\) | |||||||
\(660\) | 0.846505 | + | 0.319526i | 0.0329501 | + | 0.0124375i | ||||
\(661\) | −19.1020 | − | 3.36819i | −0.742980 | − | 0.131007i | −0.210670 | − | 0.977557i | \(-0.567565\pi\) |
−0.532310 | + | 0.846550i | \(0.678676\pi\) | |||||||
\(662\) | 10.1819 | + | 1.79535i | 0.395731 | + | 0.0697781i | ||||
\(663\) | 10.9031 | + | 66.4341i | 0.423440 | + | 2.58008i | ||||
\(664\) | 7.20488 | − | 19.7952i | 0.279604 | − | 0.768204i | ||||
\(665\) | 1.66535 | − | 1.23085i | 0.0645793 | − | 0.0477301i | ||||
\(666\) | −3.43838 | + | 3.90562i | −0.133234 | + | 0.151340i | ||||
\(667\) | −10.6526 | −0.412469 | ||||||||
\(668\) | 13.1795 | − | 11.0589i | 0.509930 | − | 0.427882i | ||||
\(669\) | −11.6208 | + | 19.5874i | −0.449286 | + | 0.757292i | ||||
\(670\) | −0.306015 | − | 0.0539587i | −0.0118224 | − | 0.00208460i | ||||
\(671\) | −0.738849 | + | 4.19022i | −0.0285229 | + | 0.161762i | ||||
\(672\) | 16.7481 | + | 11.3871i | 0.646074 | + | 0.439268i | ||||
\(673\) | −8.85877 | + | 7.43339i | −0.341480 | + | 0.286536i | −0.797358 | − | 0.603506i | \(-0.793770\pi\) |
0.455878 | + | 0.890042i | \(0.349325\pi\) | |||||||
\(674\) | −2.16445 | − | 1.24965i | −0.0833716 | − | 0.0481346i | ||||
\(675\) | −15.8777 | − | 20.3513i | −0.611131 | − | 0.783321i | ||||
\(676\) | 11.0408 | + | 19.1233i | 0.424647 | + | 0.735510i | ||||
\(677\) | −2.04862 | − | 11.6183i | −0.0787348 | − | 0.446527i | −0.998534 | − | 0.0541367i | \(-0.982759\pi\) |
0.919799 | − | 0.392390i | \(-0.128352\pi\) | |||||||
\(678\) | −2.12073 | − | 0.399940i | −0.0814460 | − | 0.0153596i | ||||
\(679\) | −5.64802 | − | 11.3441i | −0.216751 | − | 0.435347i | ||||
\(680\) | 0.759073 | + | 2.08554i | 0.0291091 | + | 0.0799767i | ||||
\(681\) | −10.8556 | − | 6.44042i | −0.415988 | − | 0.246797i | ||||
\(682\) | −0.569183 | − | 0.678326i | −0.0217951 | − | 0.0259744i | ||||
\(683\) | 20.5498 | + | 11.8644i | 0.786317 | + | 0.453980i | 0.838664 | − | 0.544648i | \(-0.183337\pi\) |
−0.0523472 | + | 0.998629i | \(0.516670\pi\) | |||||||
\(684\) | −20.9198 | + | 11.4250i | −0.799888 | + | 0.436845i | ||||
\(685\) | 0.990756 | + | 0.572013i | 0.0378549 | + | 0.0218555i | ||||
\(686\) | 6.61374 | + | 3.91080i | 0.252514 | + | 0.149315i | ||||
\(687\) | 6.68885 | + | 2.52481i | 0.255196 | + | 0.0963275i | ||||
\(688\) | −2.14191 | + | 0.779592i | −0.0816596 | + | 0.0297217i | ||||
\(689\) | −8.46217 | + | 47.9913i | −0.322383 | + | 1.82832i | ||||
\(690\) | −0.310480 | + | 0.0509555i | −0.0118198 | + | 0.00193984i | ||||
\(691\) | −4.08371 | − | 4.86678i | −0.155352 | − | 0.185141i | 0.682755 | − | 0.730648i | \(-0.260782\pi\) |
−0.838107 | + | 0.545507i | \(0.816337\pi\) | |||||||
\(692\) | −4.90500 | + | 8.49571i | −0.186460 | + | 0.322959i | ||||
\(693\) | −11.4273 | − | 5.30237i | −0.434088 | − | 0.201421i | ||||
\(694\) | 6.73429 | + | 11.6641i | 0.255630 | + | 0.442765i | ||||
\(695\) | −0.947313 | + | 2.60272i | −0.0359336 | + | 0.0987268i | ||||
\(696\) | 10.5062 | − | 5.90067i | 0.398236 | − | 0.223664i | ||||
\(697\) | −65.8877 | − | 55.2864i | −2.49568 | − | 2.09412i | ||||
\(698\) | 3.32044 | + | 2.78618i | 0.125681 | + | 0.105459i | ||||
\(699\) | −4.70364 | + | 24.9415i | −0.177908 | + | 0.943375i | ||||
\(700\) | −16.5467 | + | 17.4170i | −0.625406 | + | 0.658300i | ||||
\(701\) | − | 30.6664i | − | 1.15825i | −0.815238 | − | 0.579126i | \(-0.803394\pi\) | ||
0.815238 | − | 0.579126i | \(-0.196606\pi\) | |||||||
\(702\) | 9.53573 | − | 5.06184i | 0.359903 | − | 0.191047i | ||||
\(703\) | −15.7384 | + | 9.08659i | −0.593586 | + | 0.342707i | ||||
\(704\) | −2.25838 | + | 6.20485i | −0.0851160 | + | 0.233854i | ||||
\(705\) | 0.953009 | + | 2.71829i | 0.0358924 | + | 0.102377i | ||||
\(706\) | −2.03911 | − | 0.359550i | −0.0767430 | − | 0.0135319i | ||||
\(707\) | 2.04079 | − | 33.0622i | 0.0767518 | − | 1.24343i | ||||
\(708\) | −5.44185 | + | 3.05635i | −0.204517 | + | 0.114865i | ||||
\(709\) | 13.9023 | + | 5.06001i | 0.522111 | + | 0.190033i | 0.589612 | − | 0.807686i | \(-0.299281\pi\) |
−0.0675015 | + | 0.997719i | \(0.521503\pi\) | |||||||
\(710\) | −0.217739 | + | 0.377134i | −0.00817159 | + | 0.0141536i | ||||
\(711\) | −14.4786 | + | 4.88395i | −0.542988 | + | 0.183162i | ||||
\(712\) | 11.2656 | − | 6.50420i | 0.422196 | − | 0.243755i | ||||
\(713\) | −3.07289 | − | 1.11844i | −0.115081 | − | 0.0418860i | ||||
\(714\) | −4.01468 | − | 14.1989i | −0.150246 | − | 0.531380i | ||||
\(715\) | −1.09639 | − | 0.919982i | −0.0410027 | − | 0.0344054i | ||||
\(716\) | 9.29587 | + | 25.5402i | 0.347403 | + | 0.954481i | ||||
\(717\) | −30.5653 | + | 25.0354i | −1.14148 | + | 0.934965i | ||||
\(718\) | −1.16639 | − | 6.61492i | −0.0435293 | − | 0.246867i | ||||
\(719\) | −4.89820 | − | 8.48393i | −0.182672 | − | 0.316397i | 0.760118 | − | 0.649786i | \(-0.225141\pi\) |
−0.942790 | + | 0.333388i | \(0.891808\pi\) | |||||||
\(720\) | −1.26451 | + | 1.01090i | −0.0471253 | + | 0.0376741i | ||||
\(721\) | 5.96570 | − | 4.40921i | 0.222174 | − | 0.164208i | ||||
\(722\) | −0.0430815 | + | 0.00759643i | −0.00160333 | + | 0.000282710i | ||||
\(723\) | −0.668170 | − | 1.18968i | −0.0248495 | − | 0.0442447i | ||||
\(724\) | 7.44763 | − | 8.87574i | 0.276789 | − | 0.329864i | ||||
\(725\) | 7.44296 | + | 20.4494i | 0.276425 | + | 0.759470i | ||||
\(726\) | 1.12938 | − | 5.98865i | 0.0419152 | − | 0.222260i | ||||
\(727\) | 29.0898 | + | 34.6679i | 1.07888 | + | 1.28576i | 0.956009 | + | 0.293339i | \(0.0947663\pi\) |
0.122873 | + | 0.992422i | \(0.460789\pi\) | |||||||
\(728\) | −12.5068 | − | 16.9218i | −0.463531 | − | 0.627162i | ||||
\(729\) | 11.8027 | + | 24.2837i | 0.437136 | + | 0.899395i | ||||
\(730\) | 0.320122 | − | 0.554468i | 0.0118483 | − | 0.0205218i | ||||
\(731\) | 5.54702 | + | 2.01895i | 0.205164 | + | 0.0746736i | ||||
\(732\) | −6.43659 | − | 5.53239i | −0.237903 | − | 0.204483i | ||||
\(733\) | −15.4136 | + | 18.3692i | −0.569315 | + | 0.678483i | −0.971490 | − | 0.237079i | \(-0.923810\pi\) |
0.402175 | + | 0.915563i | \(0.368254\pi\) | |||||||
\(734\) | 4.48873 | − | 1.63376i | 0.165682 | − | 0.0603033i | ||||
\(735\) | −1.61587 | + | 1.46806i | −0.0596022 | + | 0.0541500i | ||||
\(736\) | −1.86615 | − | 10.5834i | −0.0687871 | − | 0.390111i | ||||
\(737\) | 6.60188i | 0.243184i | ||||||||
\(738\) | −5.02357 | + | 12.8453i | −0.184920 | + | 0.472843i | ||||
\(739\) | −22.3128 | −0.820790 | −0.410395 | − | 0.911908i | \(-0.634609\pi\) | ||||
−0.410395 | + | 0.911908i | \(0.634609\pi\) | |||||||
\(740\) | −1.05413 | + | 0.884518i | −0.0387505 | + | 0.0325155i | ||||
\(741\) | 37.2070 | − | 6.10637i | 1.36683 | − | 0.224323i | ||||
\(742\) | 0.658029 | − | 10.6605i | 0.0241570 | − | 0.391360i | ||||
\(743\) | −28.1973 | + | 33.6043i | −1.03446 | + | 1.23282i | −0.0624085 | + | 0.998051i | \(0.519878\pi\) |
−0.972051 | + | 0.234770i | \(0.924566\pi\) | |||||||
\(744\) | 3.65019 | − | 0.599065i | 0.133823 | − | 0.0219628i | ||||
\(745\) | 3.09125 | − | 0.545071i | 0.113255 | − | 0.0199699i | ||||
\(746\) | − | 13.8406i | − | 0.506739i | ||||||
\(747\) | −29.8691 | − | 26.2957i | −1.09285 | − | 0.962109i | ||||
\(748\) | 19.4998 | − | 11.2582i | 0.712982 | − | 0.411641i | ||||
\(749\) | −19.9943 | + | 5.91038i | −0.730576 | + | 0.215961i | ||||
\(750\) | 0.631555 | + | 1.12449i | 0.0230611 | + | 0.0410605i | ||||
\(751\) | −3.23209 | + | 18.3301i | −0.117941 | + | 0.668875i | 0.867311 | + | 0.497766i | \(0.165846\pi\) |
−0.985252 | + | 0.171109i | \(0.945265\pi\) | |||||||
\(752\) | −26.0101 | + | 9.46690i | −0.948491 | + | 0.345222i | ||||
\(753\) | −19.6828 | − | 3.71191i | −0.717281 | − | 0.135270i | ||||
\(754\) | −8.96354 | + | 1.58051i | −0.326433 | + | 0.0575589i | ||||
\(755\) | 0.413938 | 0.0150647 | ||||||||
\(756\) | 20.7274 | − | 14.2075i | 0.753849 | − | 0.516722i | ||||
\(757\) | 26.2705 | 0.954819 | 0.477410 | − | 0.878681i | \(-0.341576\pi\) | ||||
0.477410 | + | 0.878681i | \(0.341576\pi\) | |||||||
\(758\) | 5.09078 | − | 0.897641i | 0.184905 | − | 0.0326038i | ||||
\(759\) | 2.21162 | + | 6.30825i | 0.0802766 | + | 0.228975i | ||||
\(760\) | 1.16803 | − | 0.425126i | 0.0423687 | − | 0.0154210i | ||||
\(761\) | 2.11972 | − | 12.0216i | 0.0768399 | − | 0.435781i | −0.921981 | − | 0.387235i | \(-0.873430\pi\) |
0.998821 | − | 0.0485459i | \(-0.0154587\pi\) | |||||||
\(762\) | −7.54964 | − | 0.0895767i | −0.273494 | − | 0.00324502i | ||||
\(763\) | 44.7501 | + | 10.7701i | 1.62006 | + | 0.389904i | ||||
\(764\) | −26.8250 | + | 15.4874i | −0.970494 | + | 0.560315i | ||||
\(765\) | 4.19142 | + | 0.0994767i | 0.151541 | + | 0.00359659i | ||||
\(766\) | 12.0676i | 0.436018i | ||||||||
\(767\) | 9.72280 | − | 1.71439i | 0.351070 | − | 0.0619031i | ||||
\(768\) | −4.32162 | − | 5.27619i | −0.155943 | − | 0.190388i | ||||
\(769\) | 5.10850 | − | 6.08807i | 0.184217 | − | 0.219541i | −0.666030 | − | 0.745925i | \(-0.732008\pi\) |
0.850247 | + | 0.526383i | \(0.176452\pi\) | |||||||
\(770\) | 0.261487 | + | 0.173285i | 0.00942333 | + | 0.00624478i | ||||
\(771\) | 6.22218 | − | 16.4841i | 0.224086 | − | 0.593661i | ||||
\(772\) | −17.1595 | + | 14.3985i | −0.617585 | + | 0.518215i | ||||
\(773\) | 7.78940 | 0.280165 | 0.140083 | − | 0.990140i | \(-0.455263\pi\) | ||||
0.140083 | + | 0.990140i | \(0.455263\pi\) | |||||||
\(774\) | 0.0224600 | − | 0.946347i | 0.000807310 | − | 0.0340157i | ||||
\(775\) | 6.68038i | 0.239966i | ||||||||
\(776\) | −1.32084 | − | 7.49084i | −0.0474153 | − | 0.268906i | ||||
\(777\) | 15.5415 | − | 11.2039i | 0.557547 | − | 0.401939i | ||||
\(778\) | −4.19629 | + | 1.52733i | −0.150444 | + | 0.0547573i | ||||
\(779\) | −30.9637 | + | 36.9011i | −1.10939 | + | 1.32212i | ||||
\(780\) | 2.69421 | − | 0.944566i | 0.0964682 | − | 0.0338209i | ||||
\(781\) | 8.69418 | + | 3.16442i | 0.311102 | + | 0.113232i | ||||
\(782\) | −3.91490 | + | 6.78080i | −0.139996 | + | 0.242481i | ||||
\(783\) | −3.15253 | − | 22.5437i | −0.112662 | − | 0.805647i | ||||
\(784\) | −14.2901 | − | 15.3587i | −0.510359 | − | 0.548526i | ||||
\(785\) | 0.649915 | + | 0.774539i | 0.0231965 | + | 0.0276445i | ||||
\(786\) | 9.88773 | − | 3.46655i | 0.352684 | − | 0.123648i | ||||
\(787\) | −8.13240 | − | 22.3436i | −0.289889 | − | 0.796463i | −0.996081 | − | 0.0884429i | \(-0.971811\pi\) |
0.706193 | − | 0.708020i | \(-0.250411\pi\) | |||||||
\(788\) | 15.9608 | − | 19.0213i | 0.568579 | − | 0.677606i | ||||
\(789\) | 29.8012 | + | 0.353592i | 1.06095 | + | 0.0125882i | ||||
\(790\) | 0.374710 | − | 0.0660715i | 0.0133316 | − | 0.00235072i | ||||
\(791\) | 7.28521 | + | 3.17256i | 0.259032 | + | 0.112803i | ||||
\(792\) | −5.67549 | − | 4.99650i | −0.201670 | − | 0.177543i | ||||
\(793\) | 6.71285 | + | 11.6270i | 0.238380 | + | 0.412887i | ||||
\(794\) | 2.82273 | + | 16.0085i | 0.100175 | + | 0.568121i | ||||
\(795\) | 2.83928 | + | 1.07173i | 0.100699 | + | 0.0380103i | ||||
\(796\) | −4.40101 | − | 12.0917i | −0.155989 | − | 0.428578i | ||||
\(797\) | −10.6111 | − | 8.90378i | −0.375865 | − | 0.315388i | 0.435212 | − | 0.900328i | \(-0.356674\pi\) |
−0.811077 | + | 0.584940i | \(0.801118\pi\) | |||||||
\(798\) | −7.95222 | + | 2.24846i | −0.281505 | + | 0.0795947i | ||||
\(799\) | 67.3597 | + | 24.5169i | 2.38302 | + | 0.867347i | ||||
\(800\) | −19.0128 | + | 10.9770i | −0.672204 | + | 0.388097i | ||||
\(801\) | −3.69182 | − | 24.2950i | −0.130444 | − | 0.858423i | ||||
\(802\) | −2.14918 | + | 3.72248i | −0.0758900 | + | 0.131445i | ||||
\(803\) | −12.7823 | − | 4.65238i | −0.451077 | − | 0.164179i | ||||
\(804\) | −11.3260 | − | 6.71947i | −0.399436 | − | 0.236977i | ||||
\(805\) | 1.15626 | + | 0.0713712i | 0.0407529 | + | 0.00251551i | ||||
\(806\) | −2.75161 | − | 0.485183i | −0.0969214 | − | 0.0170899i | ||||
\(807\) | −17.3459 | − | 3.27121i | −0.610605 | − | 0.115152i | ||||
\(808\) | 6.80033 | − | 18.6838i | 0.239235 | − | 0.657292i | ||||
\(809\) | −28.3326 | + | 16.3578i | −0.996122 | + | 0.575111i | −0.907099 | − | 0.420918i | \(-0.861708\pi\) |
−0.0890233 | + | 0.996030i | \(0.528375\pi\) | |||||||
\(810\) | −0.199719 | − | 0.641980i | −0.00701742 | − | 0.0225569i | ||||
\(811\) | 47.6172i | 1.67207i | 0.548679 | + | 0.836033i | \(0.315131\pi\) | ||||
−0.548679 | + | 0.836033i | \(0.684869\pi\) | |||||||
\(812\) | −20.3168 | + | 6.00572i | −0.712981 | + | 0.210760i | ||||
\(813\) | −12.9296 | + | 4.53301i | −0.453462 | + | 0.158980i | ||||
\(814\) | −2.10884 | − | 1.76953i | −0.0739149 | − | 0.0620219i | ||||
\(815\) | −2.64412 | − | 2.21868i | −0.0926196 | − | 0.0777171i | ||||
\(816\) | −0.477979 | + | 40.2847i | −0.0167326 | + | 1.41025i | ||||
\(817\) | 1.13073 | − | 3.10666i | 0.0395593 | − | 0.108688i | ||||
\(818\) | −4.90734 | − | 8.49976i | −0.171581 | − | 0.297187i | ||||
\(819\) | −38.3761 | + | 10.3606i | −1.34097 | + | 0.362029i | ||||
\(820\) | −1.82374 | + | 3.15881i | −0.0636878 | + | 0.110311i | ||||
\(821\) | −31.4248 | − | 37.4506i | −1.09673 | − | 1.30703i | −0.948040 | − | 0.318150i | \(-0.896938\pi\) |
−0.148691 | − | 0.988884i | \(-0.547506\pi\) | |||||||
\(822\) | −2.89289 | − | 3.53188i | −0.100901 | − | 0.123188i | ||||
\(823\) | 3.43354 | − | 19.4726i | 0.119686 | − | 0.678771i | −0.864637 | − | 0.502396i | \(-0.832452\pi\) |
0.984323 | − | 0.176375i | \(-0.0564371\pi\) | |||||||
\(824\) | 4.18417 | − | 1.52291i | 0.145762 | − | 0.0530532i | ||||
\(825\) | 10.5645 | − | 8.65314i | 0.367807 | − | 0.301264i | ||||
\(826\) | −2.07511 | + | 0.613410i | −0.0722024 | + | 0.0213433i | ||||
\(827\) | 33.5168 | + | 19.3510i | 1.16549 | + | 0.672899i | 0.952615 | − | 0.304180i | \(-0.0983823\pi\) |
0.212880 | + | 0.977078i | \(0.431716\pi\) | |||||||
\(828\) | −13.0732 | − | 2.62643i | −0.454326 | − | 0.0912746i | ||||
\(829\) | 11.1500 | + | 6.43746i | 0.387256 | + | 0.223582i | 0.680970 | − | 0.732311i | \(-0.261558\pi\) |
−0.293715 | + | 0.955893i | \(0.594892\pi\) | |||||||
\(830\) | 0.636960 | + | 0.759099i | 0.0221092 | + | 0.0263487i | ||||
\(831\) | 0.282350 | − | 23.7968i | 0.00979461 | − | 0.825502i | ||||
\(832\) | 7.12605 | + | 19.5787i | 0.247051 | + | 0.678768i | ||||
\(833\) | 2.78248 | + | 54.2577i | 0.0964072 | + | 1.87992i | ||||
\(834\) | 7.20477 | − | 8.38230i | 0.249481 | − | 0.290255i | ||||
\(835\) | 0.294303 | + | 1.66908i | 0.0101848 | + | 0.0577608i | ||||
\(836\) | −6.30526 | − | 10.9210i | −0.218072 | − | 0.377712i | ||||
\(837\) | 1.45753 | − | 6.83407i | 0.0503797 | − | 0.236220i | ||||
\(838\) | −0.139648 | − | 0.0806258i | −0.00482406 | − | 0.00278517i | ||||
\(839\) | 10.7228 | − | 8.99751i | 0.370193 | − | 0.310628i | −0.438645 | − | 0.898660i | \(-0.644541\pi\) |
0.808838 | + | 0.588032i | \(0.200097\pi\) | |||||||
\(840\) | −1.17991 | + | 0.570086i | −0.0407107 | + | 0.0196698i | ||||
\(841\) | 1.70331 | − | 9.65992i | 0.0587347 | − | 0.333101i | ||||
\(842\) | 12.7318 | + | 2.24496i | 0.438768 | + | 0.0773666i | ||||
\(843\) | −2.36360 | − | 4.20841i | −0.0814067 | − | 0.144945i | ||||
\(844\) | 18.5350 | − | 15.5527i | 0.638001 | − | 0.535347i | ||||
\(845\) | −2.17526 | −0.0748312 | ||||||||
\(846\) | 0.272741 | − | 11.4919i | 0.00937704 | − | 0.395099i | ||||
\(847\) | −8.95889 | + | 20.5725i | −0.307831 | + | 0.706879i | ||||
\(848\) | −9.97405 | + | 27.4035i | −0.342510 | + | 0.941039i | ||||
\(849\) | −21.9958 | + | 18.0163i | −0.754892 | + | 0.618317i | ||||
\(850\) | 15.7522 | + | 2.77754i | 0.540296 | + | 0.0952688i | ||||
\(851\) | −10.0120 | − | 1.76538i | −0.343205 | − | 0.0605164i | ||||
\(852\) | −14.2778 | + | 11.6947i | −0.489149 | + | 0.400652i | ||||
\(853\) | 1.21924 | − | 3.34982i | 0.0417458 | − | 0.114696i | −0.917068 | − | 0.398730i | \(-0.869451\pi\) |
0.958814 | + | 0.284035i | \(0.0916731\pi\) | |||||||
\(854\) | −1.74899 | − | 2.36640i | −0.0598492 | − | 0.0809766i | ||||
\(855\) | 0.0557129 | − | 2.34744i | 0.00190534 | − | 0.0802809i | ||||
\(856\) | −12.5146 | −0.427741 | ||||||||
\(857\) | −22.6428 | + | 18.9996i | −0.773464 | + | 0.649013i | −0.941593 | − | 0.336752i | \(-0.890672\pi\) |
0.168130 | + | 0.985765i | \(0.446227\pi\) | |||||||
\(858\) | 2.79690 | + | 4.97990i | 0.0954846 | + | 0.170011i | ||||
\(859\) | 26.8449 | + | 4.73347i | 0.915935 | + | 0.161504i | 0.611697 | − | 0.791092i | \(-0.290487\pi\) |
0.304238 | + | 0.952596i | \(0.401598\pi\) | |||||||
\(860\) | 0.0434697 | − | 0.246529i | 0.00148231 | − | 0.00840657i | ||||
\(861\) | 28.5535 | − | 41.9965i | 0.973102 | − | 1.43124i | ||||
\(862\) | −7.69776 | + | 6.45919i | −0.262187 | + | 0.220001i | ||||
\(863\) | −23.1530 | − | 13.3674i | −0.788136 | − | 0.455031i | 0.0511699 | − | 0.998690i | \(-0.483705\pi\) |
−0.839306 | + | 0.543659i | \(0.817038\pi\) | |||||||
\(864\) | 21.8452 | − | 7.08134i | 0.743188 | − | 0.240912i | ||||
\(865\) | −0.483191 | − | 0.836911i | −0.0164290 | − | 0.0284558i | ||||
\(866\) | 0.722544 | + | 4.09775i | 0.0245530 | + | 0.139247i | ||||
\(867\) | 48.8155 | − | 56.7938i | 1.65786 | − | 1.92882i | ||||
\(868\) | −6.49125 | − | 0.400678i | −0.220327 | − | 0.0135999i | ||||
\(869\) | −2.76486 | − | 7.59639i | −0.0937914 | − | 0.257690i | ||||
\(870\) | −0.00672493 | + | 0.566786i | −0.000227997 | + | 0.0192158i | ||||
\(871\) | 13.3902 | + | 15.9578i | 0.453709 | + | 0.540710i | ||||
\(872\) | 23.9262 | + | 13.8138i | 0.810242 | + | 0.467793i | ||||
\(873\) | −14.0876 | − | 2.83022i | −0.476794 | − | 0.0957886i | ||||
\(874\) | 3.79765 | + | 2.19258i | 0.128458 | + | 0.0741650i | ||||
\(875\) | −1.34612 | − | 4.55382i | −0.0455073 | − | 0.153947i | ||||
\(876\) | 20.9914 | − | 17.1936i | 0.709234 | − | 0.580919i | ||||
\(877\) | 39.7412 | − | 14.4646i | 1.34196 | − | 0.488435i | 0.431533 | − | 0.902097i | \(-0.357973\pi\) |
0.910430 | + | 0.413662i | \(0.135751\pi\) | |||||||
\(878\) | 2.95705 | − | 16.7703i | 0.0997957 | − | 0.565970i | ||||
\(879\) | 1.70941 | + | 2.08698i | 0.0576568 | + | 0.0703922i | ||||
\(880\) | −0.550539 | − | 0.656106i | −0.0185587 | − | 0.0221173i | ||||
\(881\) | −24.9251 | + | 43.1715i | −0.839747 | + | 1.45448i | 0.0503592 | + | 0.998731i | \(0.483963\pi\) |
−0.890106 | + | 0.455753i | \(0.849370\pi\) | |||||||
\(882\) | 8.10178 | − | 3.20382i | 0.272801 | − | 0.107878i | ||||
\(883\) | −19.7615 | − | 34.2280i | −0.665028 | − | 1.15186i | −0.979278 | − | 0.202522i | \(-0.935086\pi\) |
0.314249 | − | 0.949340i | \(-0.398247\pi\) | |||||||
\(884\) | 24.2997 | − | 66.7630i | 0.817289 | − | 2.24548i | ||||
\(885\) | 0.00729457 | − | 0.614795i | 0.000245204 | − | 0.0206661i | ||||
\(886\) | 11.0816 | + | 9.29854i | 0.372293 | + | 0.312391i | ||||
\(887\) | 28.4361 | + | 23.8607i | 0.954791 | + | 0.801165i | 0.980098 | − | 0.198515i | \(-0.0636119\pi\) |
−0.0253071 | + | 0.999680i | \(0.508056\pi\) | |||||||
\(888\) | 10.8522 | − | 3.80470i | 0.364178 | − | 0.127677i | ||||
\(889\) | 27.0275 | + | 6.50478i | 0.906475 | + | 0.218163i | ||||
\(890\) | 0.611918i | 0.0205115i | ||||||||
\(891\) | −12.6955 | + | 6.54725i | −0.425314 | + | 0.219341i | ||||
\(892\) | 20.8152 | − | 12.0176i | 0.696944 | − | 0.402381i | ||||
\(893\) | 13.7309 | − | 37.7255i | 0.459489 | − | 1.26243i | ||||
\(894\) | −12.3094 | − | 2.32139i | −0.411689 | − | 0.0776390i | ||||
\(895\) | −2.63675 | − | 0.464930i | −0.0881369 | − | 0.0155409i | ||||
\(896\) | −12.4582 | − | 25.0224i | −0.416199 | − | 0.835940i | ||||
\(897\) | 18.1404 | + | 10.7624i | 0.605692 | + | 0.359345i | ||||
\(898\) | −0.295162 | − | 0.107430i | −0.00984968 | − | 0.00358499i | ||||
\(899\) | −2.94562 | + | 5.10196i | −0.0982418 | + | 0.170160i | ||||
\(900\) | 4.09242 | + | 26.9313i | 0.136414 | + | 0.897710i | ||||
\(901\) | 65.4046 | − | 37.7614i | 2.17894 | − | 1.25801i | ||||
\(902\) | −6.85694 | − | 2.49572i | −0.228311 | − | 0.0830984i | ||||
\(903\) | −0.855692 | + | 3.37870i | −0.0284757 | + | 0.112436i | ||||
\(904\) | 3.65363 | + | 3.06576i | 0.121518 | + | 0.101966i | ||||
\(905\) | 0.390375 | + | 1.07255i | 0.0129765 | + | 0.0356527i | ||||
\(906\) | −1.54545 | − | 0.583353i | −0.0513441 | − | 0.0193806i | ||||
\(907\) | −5.56403 | − | 31.5552i | −0.184751 | − | 1.04777i | −0.926275 | − | 0.376847i | \(-0.877008\pi\) |
0.741525 | − | 0.670926i | \(-0.234103\pi\) | |||||||
\(908\) | 6.66036 | + | 11.5361i | 0.221032 | + | 0.382838i | ||||
\(909\) | −28.1920 | − | 24.8192i | −0.935068 | − | 0.823202i | ||||
\(910\) | 0.983519 | − | 0.111499i | 0.0326034 | − | 0.00369615i | ||||
\(911\) | −17.5085 | + | 3.08722i | −0.580082 | + | 0.102284i | −0.455988 | − | 0.889986i | \(-0.650714\pi\) |
−0.124095 | + | 0.992270i | \(0.539603\pi\) | |||||||
\(912\) | 22.5618 | + | 0.267697i | 0.747097 | + | 0.00886433i | ||||
\(913\) | 13.5328 | − | 16.1278i | 0.447872 | − | 0.533753i | ||||
\(914\) | 4.45469 | + | 12.2392i | 0.147348 | + | 0.404835i | ||||
\(915\) | 0.789014 | − | 0.276621i | 0.0260840 | − | 0.00914482i | ||||
\(916\) | −4.84988 | − | 5.77987i | −0.160245 | − | 0.190972i | ||||
\(917\) | −38.3331 | + | 4.34572i | −1.26587 | + | 0.143508i | ||||
\(918\) | −15.5086 | − | 6.27827i | −0.511860 | − | 0.207214i | ||||
\(919\) | 10.1037 | − | 17.5002i | 0.333292 | − | 0.577279i | −0.649863 | − | 0.760051i | \(-0.725174\pi\) |
0.983155 | + | 0.182773i | \(0.0585072\pi\) | |||||||
\(920\) | 0.653415 | + | 0.237823i | 0.0215424 | + | 0.00784081i | ||||
\(921\) | 2.67279 | − | 0.937058i | 0.0880715 | − | 0.0308771i | ||||
\(922\) | 2.90819 | − | 3.46585i | 0.0957762 | − | 0.114142i | ||||
\(923\) | 27.4334 | − | 9.98494i | 0.902981 | − | 0.328658i | ||||
\(924\) | 7.77452 | + | 10.7844i | 0.255763 | + | 0.354780i | ||||
\(925\) | 3.60643 | + | 20.4531i | 0.118579 | + | 0.672493i | ||||
\(926\) | 2.95287i | 0.0970373i | ||||||||
\(927\) | 0.199578 | − | 8.40916i | 0.00655500 | − | 0.276193i | ||||
\(928\) | −19.3607 | −0.635545 | ||||||||
\(929\) | −5.15862 | + | 4.32860i | −0.169249 | + | 0.142017i | −0.723478 | − | 0.690348i | \(-0.757458\pi\) |
0.554229 | + | 0.832364i | \(0.313013\pi\) | |||||||
\(930\) | −0.0614483 | + | 0.162792i | −0.00201497 | + | 0.00533815i | ||||
\(931\) | 30.3876 | − | 1.55835i | 0.995913 | − | 0.0510730i | ||||
\(932\) | 17.2174 | − | 20.5189i | 0.563974 | − | 0.672118i | ||||
\(933\) | −13.0371 | − | 15.9167i | −0.426815 | − | 0.521091i | ||||
\(934\) | −5.40427 | + | 0.952918i | −0.176833 | + | 0.0311804i | ||||
\(935\) | 2.21809i | 0.0725392i | ||||||||
\(936\) | −23.8526 | − | 0.566105i | −0.779648 | − | 0.0185037i | ||||
\(937\) | −37.6538 | + | 21.7394i | −1.23009 | + | 0.710196i | −0.967050 | − | 0.254588i | \(-0.918060\pi\) |
−0.263045 | + | 0.964784i | \(0.584727\pi\) | |||||||
\(938\) | −3.31011 | − | 3.14471i | −0.108079 | − | 0.102678i | ||||
\(939\) | −3.21254 | − | 0.0381169i | −0.104837 | − | 0.00124390i | ||||
\(940\) | 0.527870 | − | 2.99370i | 0.0172172 | − | 0.0976438i | ||||
\(941\) | 11.5099 | − | 4.18926i | 0.375212 | − | 0.136566i | −0.147529 | − | 0.989058i | \(-0.547132\pi\) |
0.522741 | + | 0.852492i | \(0.324910\pi\) | |||||||
\(942\) | −1.33494 | − | 3.80767i | −0.0434946 | − | 0.124061i | ||||
\(943\) | −26.5383 | + | 4.67942i | −0.864206 | + | 0.152383i | ||||
\(944\) | 5.90810 | 0.192292 | ||||||||
\(945\) | 0.191144 | + | 2.46809i | 0.00621791 | + | 0.0802869i | ||||
\(946\) | 0.500804 | 0.0162825 | ||||||||
\(947\) | −13.5396 | + | 2.38739i | −0.439977 | + | 0.0775798i | −0.389249 | − | 0.921133i | \(-0.627265\pi\) |
−0.0507283 | + | 0.998712i | \(0.516154\pi\) | |||||||
\(948\) | 15.8462 | + | 2.98838i | 0.514661 | + | 0.0970581i | ||||
\(949\) | −40.3330 | + | 14.6800i | −1.30926 | + | 0.476533i | ||||
\(950\) | 1.55559 | − | 8.82217i | 0.0504699 | − | 0.286229i | ||||
\(951\) | 17.9154 | + | 31.8985i | 0.580948 | + | 1.03438i | ||||
\(952\) | −7.63048 | + | 31.7049i | −0.247305 | + | 1.02756i | ||||
\(953\) | −41.3778 | + | 23.8895i | −1.34036 | + | 0.773857i | −0.986860 | − | 0.161578i | \(-0.948342\pi\) |
−0.353499 | + | 0.935435i | \(0.615008\pi\) | |||||||
\(954\) | −9.09017 | − | 8.00267i | −0.294305 | − | 0.259096i | ||||
\(955\) | − | 3.05132i | − | 0.0987385i | ||||||
\(956\) | 41.0622 | − | 7.24037i | 1.32805 | − | 0.234170i | ||||
\(957\) | 11.8838 | − | 1.95035i | 0.384148 | − | 0.0630459i | ||||
\(958\) | −0.531138 | + | 0.632986i | −0.0171603 | + | 0.0204508i | ||||
\(959\) | 7.49196 | + | 15.0477i | 0.241928 | + | 0.485915i | ||||
\(960\) | 1.28040 | − | 0.210138i | 0.0413248 | − | 0.00678217i | ||||
\(961\) | 22.3620 | − | 18.7639i | 0.721355 | − | 0.605289i | ||||
\(962\) | −8.68643 | −0.280062 | ||||||||
\(963\) | −8.61059 | + | 22.0174i | −0.277472 | + | 0.709499i | ||||
\(964\) | 1.43997i | 0.0463783i | ||||||||
\(965\) | −0.383178 | − | 2.17311i | −0.0123349 | − | 0.0699550i | ||||
\(966\) | −4.21636 | − | 1.89596i | −0.135659 | − | 0.0610015i | ||||
\(967\) | 42.4888 | − | 15.4647i | 1.36635 | − | 0.497310i | 0.448336 | − | 0.893865i | \(-0.352017\pi\) |
0.918011 | + | 0.396555i | \(0.129795\pi\) | |||||||
\(968\) | −8.65731 | + | 10.3174i | −0.278257 | + | 0.331613i | ||||
\(969\) | −44.3140 | − | 38.0889i | −1.42357 | − | 1.22359i | ||||
\(970\) | 0.336228 | + | 0.122377i | 0.0107956 | + | 0.00392929i | ||||
\(971\) | −7.07273 | + | 12.2503i | −0.226975 | + | 0.393132i | −0.956910 | − | 0.290384i | \(-0.906217\pi\) |
0.729935 | + | 0.683516i | \(0.239550\pi\) | |||||||
\(972\) | 1.68933 | − | 28.4438i | 0.0541854 | − | 0.912334i | ||||
\(973\) | −32.7282 | + | 24.1892i | −1.04922 | + | 0.775469i | ||||
\(974\) | 3.81890 | + | 4.55119i | 0.122366 | + | 0.145830i | ||||
\(975\) | 7.98537 | − | 42.3432i | 0.255736 | − | 1.35607i | ||||
\(976\) | 2.74787 | + | 7.54972i | 0.0879573 | + | 0.241661i | ||||
\(977\) | 23.6226 | − | 28.1523i | 0.755753 | − | 0.900672i | −0.241818 | − | 0.970322i | \(-0.577744\pi\) |
0.997572 | + | 0.0696497i | \(0.0221882\pi\) | |||||||
\(978\) | 6.74517 | + | 12.0098i | 0.215687 | + | 0.384032i | ||||
\(979\) | 12.8033 | − | 2.25756i | 0.409195 | − | 0.0721521i | ||||
\(980\) | 2.24549 | − | 0.515758i | 0.0717295 | − | 0.0164753i | ||||
\(981\) | 40.7651 | − | 32.5895i | 1.30153 | − | 1.04050i | ||||
\(982\) | −5.52879 | − | 9.57614i | −0.176431 | − | 0.305587i | ||||
\(983\) | 1.70439 | + | 9.66609i | 0.0543617 | + | 0.308300i | 0.999849 | − | 0.0173575i | \(-0.00552533\pi\) |
−0.945488 | + | 0.325658i | \(0.894414\pi\) | |||||||
\(984\) | 23.5816 | − | 19.3152i | 0.751754 | − | 0.615746i | ||||
\(985\) | 0.836600 | + | 2.29854i | 0.0266563 | + | 0.0732375i | ||||
\(986\) | 10.8056 | + | 9.06697i | 0.344120 | + | 0.288751i | ||||
\(987\) | −10.3910 | + | 41.0290i | −0.330750 | + | 1.30597i | ||||
\(988\) | −37.3913 | − | 13.6093i | −1.18957 | − | 0.432970i | ||||
\(989\) | 1.60168 | − | 0.924730i | 0.0509305 | − | 0.0294047i | ||||
\(990\) | 0.337036 | − | 0.113690i | 0.0107117 | − | 0.00361330i | ||||
\(991\) | 15.3744 | − | 26.6292i | 0.488384 | − | 0.845905i | −0.511527 | − | 0.859267i | \(-0.670920\pi\) |
0.999911 | + | 0.0133618i | \(0.00425333\pi\) | |||||||
\(992\) | −5.58487 | − | 2.03273i | −0.177320 | − | 0.0645392i | ||||
\(993\) | −37.6350 | + | 21.1373i | −1.19431 | + | 0.670770i | ||||
\(994\) | −5.72795 | + | 2.85184i | −0.181680 | + | 0.0904548i | ||||
\(995\) | 1.24834 | + | 0.220115i | 0.0395749 | + | 0.00697812i | ||||
\(996\) | 13.8945 | + | 39.6315i | 0.440263 | + | 1.25577i | ||||
\(997\) | −14.3109 | + | 39.3189i | −0.453231 | + | 1.24524i | 0.477206 | + | 0.878791i | \(0.341650\pi\) |
−0.930437 | + | 0.366451i | \(0.880573\pi\) | |||||||
\(998\) | 7.65940 | − | 4.42216i | 0.242454 | − | 0.139981i | ||||
\(999\) | 0.773077 | − | 21.7105i | 0.0244591 | − | 0.686889i |
(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.ba.a.5.10 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.ba.a.530.13 | 132 | |||
7.3 | odd | 6 | 189.2.bd.a.59.13 | yes | 132 | ||
21.17 | even | 6 | 567.2.bd.a.206.10 | 132 | |||
27.11 | odd | 18 | 189.2.bd.a.173.13 | yes | 132 | ||
27.16 | even | 9 | 567.2.bd.a.278.10 | 132 | |||
189.38 | even | 18 | inner | 189.2.ba.a.38.10 | yes | 132 | |
189.178 | odd | 18 | 567.2.ba.a.521.13 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.5.10 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.ba.a.38.10 | yes | 132 | 189.38 | even | 18 | inner | |
189.2.bd.a.59.13 | yes | 132 | 7.3 | odd | 6 | ||
189.2.bd.a.173.13 | yes | 132 | 27.11 | odd | 18 | ||
567.2.ba.a.521.13 | 132 | 189.178 | odd | 18 | |||
567.2.ba.a.530.13 | 132 | 3.2 | odd | 2 | |||
567.2.bd.a.206.10 | 132 | 21.17 | even | 6 | |||
567.2.bd.a.278.10 | 132 | 27.16 | even | 9 |