Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(11,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.r (of order \(15\), degree \(8\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 391.18 | ||
Character | \(\chi\) | \(=\) | 950.391 |
Dual form | 950.2.r.a.311.18 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.913545 | + | 0.406737i | −0.645974 | + | 0.287606i | ||||
\(3\) | 1.39673 | + | 0.296884i | 0.806401 | + | 0.171406i | 0.592627 | − | 0.805477i | \(-0.298091\pi\) |
0.213774 | + | 0.976883i | \(0.431424\pi\) | |||||||
\(4\) | 0.669131 | − | 0.743145i | 0.334565 | − | 0.371572i | ||||
\(5\) | 1.51731 | − | 1.64249i | 0.678561 | − | 0.734544i | ||||
\(6\) | −1.39673 | + | 0.296884i | −0.570212 | + | 0.121202i | ||||
\(7\) | −1.22437 | −0.462770 | −0.231385 | − | 0.972862i | \(-0.574326\pi\) | ||||
−0.231385 | + | 0.972862i | \(0.574326\pi\) | |||||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | −0.877927 | − | 0.390878i | −0.292642 | − | 0.130293i | ||||
\(10\) | −0.718069 | + | 2.11763i | −0.227073 | + | 0.669655i | ||||
\(11\) | −2.40985 | − | 1.75086i | −0.726598 | − | 0.527904i | 0.161888 | − | 0.986809i | \(-0.448242\pi\) |
−0.888485 | + | 0.458905i | \(0.848242\pi\) | |||||||
\(12\) | 1.15522 | − | 0.839317i | 0.333484 | − | 0.242290i | ||||
\(13\) | −2.73730 | − | 1.21872i | −0.759190 | − | 0.338013i | −0.00963382 | − | 0.999954i | \(-0.503067\pi\) |
−0.749557 | + | 0.661940i | \(0.769733\pi\) | |||||||
\(14\) | 1.11852 | − | 0.497998i | 0.298937 | − | 0.133095i | ||||
\(15\) | 2.60690 | − | 1.84365i | 0.673098 | − | 0.476028i | ||||
\(16\) | −0.104528 | − | 0.994522i | −0.0261321 | − | 0.248630i | ||||
\(17\) | −0.342831 | − | 0.380752i | −0.0831487 | − | 0.0923459i | 0.700135 | − | 0.714011i | \(-0.253123\pi\) |
−0.783283 | + | 0.621665i | \(0.786457\pi\) | |||||||
\(18\) | 0.961011 | 0.226512 | ||||||||
\(19\) | 2.55818 | − | 3.52926i | 0.586887 | − | 0.809669i | ||||
\(20\) | −0.205331 | − | 2.22662i | −0.0459133 | − | 0.497888i | ||||
\(21\) | −1.71012 | − | 0.363497i | −0.373178 | − | 0.0793214i | ||||
\(22\) | 2.91365 | + | 0.619315i | 0.621192 | + | 0.132038i | ||||
\(23\) | 0.0323273 | − | 0.307574i | 0.00674071 | − | 0.0641335i | −0.990634 | − | 0.136541i | \(-0.956401\pi\) |
0.997375 | + | 0.0724073i | \(0.0230682\pi\) | |||||||
\(24\) | −0.713966 | + | 1.23663i | −0.145738 | + | 0.252425i | ||||
\(25\) | −0.395549 | − | 4.98433i | −0.0791098 | − | 0.996866i | ||||
\(26\) | 2.99635 | 0.587632 | ||||||||
\(27\) | −4.57584 | − | 3.32454i | −0.880621 | − | 0.639809i | ||||
\(28\) | −0.819266 | + | 0.909887i | −0.154827 | + | 0.171952i | ||||
\(29\) | 4.98343 | − | 5.53466i | 0.925400 | − | 1.02776i | −0.0741348 | − | 0.997248i | \(-0.523619\pi\) |
0.999534 | − | 0.0305122i | \(-0.00971383\pi\) | |||||||
\(30\) | −1.63164 | + | 2.74458i | −0.297895 | + | 0.501089i | ||||
\(31\) | −0.0174028 | + | 0.0535604i | −0.00312564 | + | 0.00961973i | −0.952607 | − | 0.304203i | \(-0.901610\pi\) |
0.949482 | + | 0.313823i | \(0.101610\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −2.84611 | − | 3.16092i | −0.495443 | − | 0.550246i | ||||
\(34\) | 0.468057 | + | 0.208393i | 0.0802712 | + | 0.0357390i | ||||
\(35\) | −1.85775 | + | 2.01102i | −0.314017 | + | 0.339925i | ||||
\(36\) | −0.877927 | + | 0.390878i | −0.146321 | + | 0.0651464i | ||||
\(37\) | 1.46749 | − | 1.06620i | 0.241254 | − | 0.175281i | −0.460588 | − | 0.887614i | \(-0.652361\pi\) |
0.701842 | + | 0.712333i | \(0.252361\pi\) | |||||||
\(38\) | −0.901535 | + | 4.26465i | −0.146248 | + | 0.691817i | ||||
\(39\) | −3.46144 | − | 2.51489i | −0.554275 | − | 0.402704i | ||||
\(40\) | 1.09323 | + | 1.95060i | 0.172854 | + | 0.308418i | ||||
\(41\) | 0.285756 | + | 2.71878i | 0.0446276 | + | 0.424603i | 0.993911 | + | 0.110182i | \(0.0351435\pi\) |
−0.949284 | + | 0.314420i | \(0.898190\pi\) | |||||||
\(42\) | 1.71012 | − | 0.363497i | 0.263877 | − | 0.0560887i | ||||
\(43\) | −0.211978 | + | 0.367157i | −0.0323263 | + | 0.0559909i | −0.881736 | − | 0.471743i | \(-0.843625\pi\) |
0.849410 | + | 0.527734i | \(0.176958\pi\) | |||||||
\(44\) | −2.91365 | + | 0.619315i | −0.439249 | + | 0.0933652i | ||||
\(45\) | −1.97410 | + | 0.848904i | −0.294281 | + | 0.126547i | ||||
\(46\) | 0.0955690 | + | 0.294131i | 0.0140909 | + | 0.0433673i | ||||
\(47\) | 3.24282 | − | 3.60152i | 0.473015 | − | 0.525336i | −0.458669 | − | 0.888607i | \(-0.651674\pi\) |
0.931683 | + | 0.363271i | \(0.118340\pi\) | |||||||
\(48\) | 0.149260 | − | 1.42011i | 0.0215438 | − | 0.204975i | ||||
\(49\) | −5.50091 | −0.785844 | ||||||||
\(50\) | 2.38866 | + | 4.39253i | 0.337808 | + | 0.621197i | ||||
\(51\) | −0.365802 | − | 0.633588i | −0.0512225 | − | 0.0887201i | ||||
\(52\) | −2.73730 | + | 1.21872i | −0.379595 | + | 0.169007i | ||||
\(53\) | −5.07067 | + | 5.63155i | −0.696510 | + | 0.773552i | −0.982816 | − | 0.184586i | \(-0.940906\pi\) |
0.286307 | + | 0.958138i | \(0.407572\pi\) | |||||||
\(54\) | 5.53245 | + | 1.17596i | 0.752872 | + | 0.160028i | ||||
\(55\) | −6.53226 | + | 1.30156i | −0.880810 | + | 0.175503i | ||||
\(56\) | 0.378352 | − | 1.16445i | 0.0505594 | − | 0.155606i | ||||
\(57\) | 4.62087 | − | 4.16994i | 0.612049 | − | 0.552322i | ||||
\(58\) | −2.30144 | + | 7.08311i | −0.302194 | + | 0.930057i | ||||
\(59\) | 0.588310 | + | 5.59740i | 0.0765915 | + | 0.728719i | 0.963669 | + | 0.267099i | \(0.0860650\pi\) |
−0.887078 | + | 0.461620i | \(0.847268\pi\) | |||||||
\(60\) | 0.374257 | − | 3.17094i | 0.0483163 | − | 0.409367i | ||||
\(61\) | 0.783155 | − | 7.45122i | 0.100273 | − | 0.954031i | −0.822521 | − | 0.568735i | \(-0.807433\pi\) |
0.922793 | − | 0.385295i | \(-0.125900\pi\) | |||||||
\(62\) | −0.00588670 | − | 0.0560082i | −0.000747611 | − | 0.00711305i | ||||
\(63\) | 1.07491 | + | 0.478581i | 0.135426 | + | 0.0602955i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −6.15507 | + | 2.64681i | −0.763443 | + | 0.328296i | ||||
\(66\) | 3.88571 | + | 1.73003i | 0.478298 | + | 0.212952i | ||||
\(67\) | 4.82766 | − | 1.02615i | 0.589792 | − | 0.125364i | 0.0966584 | − | 0.995318i | \(-0.469185\pi\) |
0.493134 | + | 0.869953i | \(0.335851\pi\) | |||||||
\(68\) | −0.512352 | −0.0621319 | ||||||||
\(69\) | 0.136466 | − | 0.419999i | 0.0164286 | − | 0.0505620i | ||||
\(70\) | 0.879185 | − | 2.59278i | 0.105083 | − | 0.309896i | ||||
\(71\) | −9.24291 | − | 1.96464i | −1.09693 | − | 0.233160i | −0.376314 | − | 0.926492i | \(-0.622809\pi\) |
−0.720618 | + | 0.693332i | \(0.756142\pi\) | |||||||
\(72\) | 0.643042 | − | 0.714170i | 0.0757832 | − | 0.0841658i | ||||
\(73\) | −0.565179 | + | 0.251634i | −0.0661492 | + | 0.0294515i | −0.439545 | − | 0.898221i | \(-0.644860\pi\) |
0.373395 | + | 0.927672i | \(0.378193\pi\) | |||||||
\(74\) | −0.906960 | + | 1.57090i | −0.105432 | + | 0.182613i | ||||
\(75\) | 0.927292 | − | 7.07919i | 0.107074 | − | 0.817434i | ||||
\(76\) | −0.910996 | − | 4.26264i | −0.104498 | − | 0.488958i | ||||
\(77\) | 2.95056 | + | 2.14371i | 0.336247 | + | 0.244298i | ||||
\(78\) | 4.18508 | + | 0.889567i | 0.473867 | + | 0.100724i | ||||
\(79\) | 11.5183 | + | 2.44830i | 1.29591 | + | 0.275455i | 0.803708 | − | 0.595023i | \(-0.202857\pi\) |
0.492206 | + | 0.870479i | \(0.336191\pi\) | |||||||
\(80\) | −1.79209 | − | 1.33731i | −0.200362 | − | 0.149516i | ||||
\(81\) | −3.47508 | − | 3.85947i | −0.386120 | − | 0.428830i | ||||
\(82\) | −1.36688 | − | 2.36751i | −0.150947 | − | 0.261447i | ||||
\(83\) | −4.64032 | + | 14.2814i | −0.509341 | + | 1.56759i | 0.284008 | + | 0.958822i | \(0.408336\pi\) |
−0.793349 | + | 0.608768i | \(0.791664\pi\) | |||||||
\(84\) | −1.41442 | + | 1.02764i | −0.154326 | + | 0.112124i | ||||
\(85\) | −1.14556 | − | 0.0146223i | −0.124254 | − | 0.00158601i | ||||
\(86\) | 0.0443155 | − | 0.421634i | 0.00477866 | − | 0.0454659i | ||||
\(87\) | 8.60365 | − | 6.25091i | 0.922408 | − | 0.670168i | ||||
\(88\) | 2.40985 | − | 1.75086i | 0.256891 | − | 0.186642i | ||||
\(89\) | 1.73500 | − | 16.5074i | 0.183909 | − | 1.74978i | −0.380954 | − | 0.924594i | \(-0.624404\pi\) |
0.564863 | − | 0.825185i | \(-0.308929\pi\) | |||||||
\(90\) | 1.45815 | − | 1.57845i | 0.153702 | − | 0.166383i | ||||
\(91\) | 3.35148 | + | 1.49217i | 0.351330 | + | 0.156422i | ||||
\(92\) | −0.206941 | − | 0.229831i | −0.0215750 | − | 0.0239615i | ||||
\(93\) | −0.0402082 | + | 0.0696427i | −0.00416940 | + | 0.00722161i | ||||
\(94\) | −1.49760 | + | 4.60913i | −0.154465 | + | 0.475395i | ||||
\(95\) | −1.91523 | − | 9.55677i | −0.196498 | − | 0.980504i | ||||
\(96\) | 0.441255 | + | 1.35804i | 0.0450354 | + | 0.138605i | ||||
\(97\) | 9.34485 | + | 1.98631i | 0.948826 | + | 0.201679i | 0.656233 | − | 0.754558i | \(-0.272149\pi\) |
0.292593 | + | 0.956237i | \(0.405482\pi\) | |||||||
\(98\) | 5.02533 | − | 2.23742i | 0.507635 | − | 0.226014i | ||||
\(99\) | 1.43130 | + | 2.47909i | 0.143851 | + | 0.249157i | ||||
\(100\) | −3.96875 | − | 3.04122i | −0.396875 | − | 0.304122i | ||||
\(101\) | 2.57371 | + | 4.45780i | 0.256094 | + | 0.443568i | 0.965192 | − | 0.261542i | \(-0.0842309\pi\) |
−0.709098 | + | 0.705110i | \(0.750898\pi\) | |||||||
\(102\) | 0.591880 | + | 0.430026i | 0.0586049 | + | 0.0425789i | ||||
\(103\) | 3.15958 | + | 9.72417i | 0.311322 | + | 0.958151i | 0.977242 | + | 0.212128i | \(0.0680393\pi\) |
−0.665920 | + | 0.746023i | \(0.731961\pi\) | |||||||
\(104\) | 2.00495 | − | 2.22672i | 0.196601 | − | 0.218348i | ||||
\(105\) | −3.19181 | + | 2.25731i | −0.311489 | + | 0.220291i | ||||
\(106\) | 2.34173 | − | 7.20710i | 0.227449 | − | 0.700016i | ||||
\(107\) | 16.3035 | 1.57611 | 0.788057 | − | 0.615602i | \(-0.211087\pi\) | ||||
0.788057 | + | 0.615602i | \(0.211087\pi\) | |||||||
\(108\) | −5.53245 | + | 1.17596i | −0.532361 | + | 0.113157i | ||||
\(109\) | −1.35292 | − | 12.8722i | −0.129587 | − | 1.23293i | −0.845205 | − | 0.534443i | \(-0.820522\pi\) |
0.715618 | − | 0.698492i | \(-0.246145\pi\) | |||||||
\(110\) | 5.43812 | − | 3.84595i | 0.518505 | − | 0.366697i | ||||
\(111\) | 2.36622 | − | 1.05351i | 0.224592 | − | 0.0999948i | ||||
\(112\) | 0.127982 | + | 1.21767i | 0.0120932 | + | 0.115059i | ||||
\(113\) | 1.49272 | − | 1.08452i | 0.140423 | − | 0.102023i | −0.515356 | − | 0.856976i | \(-0.672340\pi\) |
0.655779 | + | 0.754953i | \(0.272340\pi\) | |||||||
\(114\) | −2.52530 | + | 5.68890i | −0.236516 | + | 0.532815i | ||||
\(115\) | −0.456136 | − | 0.519781i | −0.0425349 | − | 0.0484699i | ||||
\(116\) | −0.778488 | − | 7.40682i | −0.0722808 | − | 0.687706i | ||||
\(117\) | 1.92678 | + | 2.13990i | 0.178131 | + | 0.197834i | ||||
\(118\) | −2.81411 | − | 4.87419i | −0.259060 | − | 0.448706i | ||||
\(119\) | 0.419753 | + | 0.466183i | 0.0384787 | + | 0.0427349i | ||||
\(120\) | 0.947838 | + | 3.04902i | 0.0865254 | + | 0.278337i | ||||
\(121\) | −0.657312 | − | 2.02300i | −0.0597556 | − | 0.183909i | ||||
\(122\) | 2.31524 | + | 7.12556i | 0.209612 | + | 0.645118i | ||||
\(123\) | −0.408040 | + | 3.88224i | −0.0367917 | + | 0.350050i | ||||
\(124\) | 0.0281583 | + | 0.0487717i | 0.00252869 | + | 0.00437983i | ||||
\(125\) | −8.78688 | − | 6.91308i | −0.785923 | − | 0.618325i | ||||
\(126\) | −1.17664 | −0.104823 | ||||||||
\(127\) | 0.165969 | − | 1.57909i | 0.0147274 | − | 0.140122i | −0.984687 | − | 0.174330i | \(-0.944224\pi\) |
0.999415 | + | 0.0342078i | \(0.0108908\pi\) | |||||||
\(128\) | 0.978148 | + | 0.207912i | 0.0864569 | + | 0.0183770i | ||||
\(129\) | −0.405079 | + | 0.449885i | −0.0356652 | + | 0.0396102i | ||||
\(130\) | 4.54638 | − | 4.92147i | 0.398744 | − | 0.431642i | ||||
\(131\) | 1.80268 | + | 2.00207i | 0.157500 | + | 0.174922i | 0.816730 | − | 0.577019i | \(-0.195784\pi\) |
−0.659230 | + | 0.751941i | \(0.729118\pi\) | |||||||
\(132\) | −4.25344 | −0.370214 | ||||||||
\(133\) | −3.13217 | + | 4.32114i | −0.271594 | + | 0.374690i | ||||
\(134\) | −3.99291 | + | 2.90102i | −0.344935 | + | 0.250610i | ||||
\(135\) | −12.4035 | + | 2.47142i | −1.06752 | + | 0.212706i | ||||
\(136\) | 0.468057 | − | 0.208393i | 0.0401356 | − | 0.0178695i | ||||
\(137\) | −0.211684 | − | 0.0942476i | −0.0180853 | − | 0.00805212i | 0.397674 | − | 0.917527i | \(-0.369817\pi\) |
−0.415759 | + | 0.909475i | \(0.636484\pi\) | |||||||
\(138\) | 0.0461612 | + | 0.439194i | 0.00392950 | + | 0.0373867i | ||||
\(139\) | −0.291062 | + | 2.76927i | −0.0246876 | + | 0.234887i | 0.975219 | + | 0.221240i | \(0.0710106\pi\) |
−0.999907 | + | 0.0136463i | \(0.995656\pi\) | |||||||
\(140\) | 0.251401 | + | 2.72622i | 0.0212473 | + | 0.230407i | ||||
\(141\) | 5.59858 | − | 4.06760i | 0.471485 | − | 0.342554i | ||||
\(142\) | 9.24291 | − | 1.96464i | 0.775648 | − | 0.164869i | ||||
\(143\) | 4.46267 | + | 7.72957i | 0.373187 | + | 0.646379i | ||||
\(144\) | −0.296969 | + | 0.913975i | −0.0247474 | + | 0.0761646i | ||||
\(145\) | −1.52922 | − | 16.5830i | −0.126995 | − | 1.37714i | ||||
\(146\) | 0.413968 | − | 0.459758i | 0.0342602 | − | 0.0380499i | ||||
\(147\) | −7.68328 | − | 1.63313i | −0.633706 | − | 0.134698i | ||||
\(148\) | 0.189606 | − | 1.80398i | 0.0155855 | − | 0.148286i | ||||
\(149\) | −4.59550 | + | 7.95964i | −0.376478 | + | 0.652079i | −0.990547 | − | 0.137173i | \(-0.956198\pi\) |
0.614069 | + | 0.789252i | \(0.289532\pi\) | |||||||
\(150\) | 2.03224 | + | 6.84432i | 0.165932 | + | 0.558836i | ||||
\(151\) | 11.5284 | 0.938170 | 0.469085 | − | 0.883153i | \(-0.344584\pi\) | ||||
0.469085 | + | 0.883153i | \(0.344584\pi\) | |||||||
\(152\) | 2.56601 | + | 3.52358i | 0.208131 | + | 0.285800i | ||||
\(153\) | 0.152153 | + | 0.468278i | 0.0123008 | + | 0.0378580i | ||||
\(154\) | −3.56739 | − | 0.758273i | −0.287469 | − | 0.0611034i | ||||
\(155\) | 0.0615669 | + | 0.109852i | 0.00494518 | + | 0.00882349i | ||||
\(156\) | −4.18508 | + | 0.889567i | −0.335075 | + | 0.0712224i | ||||
\(157\) | 4.64225 | − | 8.04061i | 0.370492 | − | 0.641711i | −0.619149 | − | 0.785273i | \(-0.712522\pi\) |
0.989641 | + | 0.143563i | \(0.0458558\pi\) | |||||||
\(158\) | −11.5183 | + | 2.44830i | −0.916350 | + | 0.194776i | ||||
\(159\) | −8.75426 | + | 6.36034i | −0.694258 | + | 0.504408i | ||||
\(160\) | 2.18109 | + | 0.492783i | 0.172431 | + | 0.0389579i | ||||
\(161\) | −0.0395807 | + | 0.376585i | −0.00311939 | + | 0.0296791i | ||||
\(162\) | 4.74443 | + | 2.11236i | 0.372758 | + | 0.165962i | ||||
\(163\) | 9.73797 | − | 7.07505i | 0.762737 | − | 0.554161i | −0.137012 | − | 0.990569i | \(-0.543750\pi\) |
0.899749 | + | 0.436409i | \(0.143750\pi\) | |||||||
\(164\) | 2.21166 | + | 1.60686i | 0.172702 | + | 0.125475i | ||||
\(165\) | −9.51020 | − | 0.121391i | −0.740368 | − | 0.00945029i | ||||
\(166\) | −1.56964 | − | 14.9341i | −0.121828 | − | 1.15911i | ||||
\(167\) | −4.30790 | + | 0.915672i | −0.333355 | + | 0.0708568i | −0.371549 | − | 0.928414i | \(-0.621173\pi\) |
0.0381933 | + | 0.999270i | \(0.487840\pi\) | |||||||
\(168\) | 0.874161 | − | 1.51409i | 0.0674430 | − | 0.116815i | ||||
\(169\) | −2.69118 | − | 2.98885i | −0.207014 | − | 0.229912i | ||||
\(170\) | 1.05247 | − | 0.452584i | 0.0807208 | − | 0.0347116i | ||||
\(171\) | −3.62541 | + | 2.09850i | −0.277242 | + | 0.160476i | ||||
\(172\) | 0.131010 | + | 0.403206i | 0.00998939 | + | 0.0307442i | ||||
\(173\) | −14.4053 | + | 6.41366i | −1.09522 | + | 0.487622i | −0.873171 | − | 0.487415i | \(-0.837940\pi\) |
−0.222046 | + | 0.975036i | \(0.571273\pi\) | |||||||
\(174\) | −5.31735 | + | 9.20991i | −0.403107 | + | 0.698202i | ||||
\(175\) | 0.484300 | + | 6.10268i | 0.0366096 | + | 0.461319i | ||||
\(176\) | −1.48937 | + | 2.57966i | −0.112265 | + | 0.194450i | ||||
\(177\) | −0.840067 | + | 7.99270i | −0.0631433 | + | 0.600768i | ||||
\(178\) | 5.12916 | + | 15.7859i | 0.384447 | + | 1.18321i | ||||
\(179\) | −2.86979 | − | 8.83230i | −0.214498 | − | 0.660157i | −0.999189 | − | 0.0402698i | \(-0.987178\pi\) |
0.784691 | − | 0.619887i | \(-0.212822\pi\) | |||||||
\(180\) | −0.690072 | + | 2.03507i | −0.0514350 | + | 0.151685i | ||||
\(181\) | 5.52190 | − | 1.17372i | 0.410440 | − | 0.0872417i | 0.00193571 | − | 0.999998i | \(-0.499384\pi\) |
0.408504 | + | 0.912756i | \(0.366051\pi\) | |||||||
\(182\) | −3.66865 | −0.271938 | ||||||||
\(183\) | 3.30600 | − | 10.1748i | 0.244386 | − | 0.752144i | ||||
\(184\) | 0.282530 | + | 0.125791i | 0.0208284 | + | 0.00927340i | ||||
\(185\) | 0.475423 | − | 4.02809i | 0.0349538 | − | 0.296151i | ||||
\(186\) | 0.00840580 | − | 0.0799759i | 0.000616343 | − | 0.00586412i | ||||
\(187\) | 0.159528 | + | 1.51780i | 0.0116658 | + | 0.110993i | ||||
\(188\) | −0.506579 | − | 4.81978i | −0.0369461 | − | 0.351518i | ||||
\(189\) | 5.60254 | + | 4.07048i | 0.407525 | + | 0.296084i | ||||
\(190\) | 5.63674 | + | 7.95155i | 0.408932 | + | 0.576866i | ||||
\(191\) | −14.4004 | + | 10.4625i | −1.04198 | + | 0.757040i | −0.970670 | − | 0.240414i | \(-0.922717\pi\) |
−0.0713063 | + | 0.997454i | \(0.522717\pi\) | |||||||
\(192\) | −0.955473 | − | 1.06116i | −0.0689553 | − | 0.0765826i | ||||
\(193\) | −0.767746 | + | 1.32977i | −0.0552636 | + | 0.0957193i | −0.892334 | − | 0.451376i | \(-0.850933\pi\) |
0.837070 | + | 0.547096i | \(0.184267\pi\) | |||||||
\(194\) | −9.34485 | + | 1.98631i | −0.670921 | + | 0.142609i | ||||
\(195\) | −9.38276 | + | 1.86953i | −0.671913 | + | 0.133880i | ||||
\(196\) | −3.68083 | + | 4.08797i | −0.262916 | + | 0.291998i | ||||
\(197\) | 7.73512 | + | 23.8063i | 0.551105 | + | 1.69613i | 0.706015 | + | 0.708197i | \(0.250491\pi\) |
−0.154910 | + | 0.987929i | \(0.549509\pi\) | |||||||
\(198\) | −2.31589 | − | 1.68259i | −0.164583 | − | 0.119577i | ||||
\(199\) | 2.58383 | + | 4.47533i | 0.183163 | + | 0.317248i | 0.942956 | − | 0.332917i | \(-0.108033\pi\) |
−0.759793 | + | 0.650165i | \(0.774700\pi\) | |||||||
\(200\) | 4.86261 | + | 1.16405i | 0.343838 | + | 0.0823110i | ||||
\(201\) | 7.04757 | 0.497098 | ||||||||
\(202\) | −4.16436 | − | 3.02558i | −0.293003 | − | 0.212879i | ||||
\(203\) | −6.10158 | + | 6.77649i | −0.428247 | + | 0.475616i | ||||
\(204\) | −0.715617 | − | 0.152109i | −0.0501032 | − | 0.0106498i | ||||
\(205\) | 4.89916 | + | 3.65588i | 0.342172 | + | 0.255338i | ||||
\(206\) | −6.84159 | − | 7.59836i | −0.476676 | − | 0.529403i | ||||
\(207\) | −0.148605 | + | 0.257391i | −0.0103288 | + | 0.0178899i | ||||
\(208\) | −0.925922 | + | 2.84970i | −0.0642012 | + | 0.197591i | ||||
\(209\) | −12.3441 | + | 4.02598i | −0.853858 | + | 0.278483i | ||||
\(210\) | 1.99774 | − | 3.36039i | 0.137857 | − | 0.231889i | ||||
\(211\) | 13.5236 | − | 6.02110i | 0.931005 | − | 0.414510i | 0.115531 | − | 0.993304i | \(-0.463143\pi\) |
0.815474 | + | 0.578794i | \(0.196476\pi\) | |||||||
\(212\) | 0.792116 | + | 7.53648i | 0.0544028 | + | 0.517608i | ||||
\(213\) | −12.3266 | − | 5.48814i | −0.844603 | − | 0.376041i | ||||
\(214\) | −14.8939 | + | 6.63121i | −1.01813 | + | 0.453300i | ||||
\(215\) | 0.281415 | + | 0.905262i | 0.0191924 | + | 0.0617383i | ||||
\(216\) | 4.57584 | − | 3.32454i | 0.311347 | − | 0.226207i | ||||
\(217\) | 0.0213075 | − | 0.0655779i | 0.00144645 | − | 0.00445172i | ||||
\(218\) | 6.47156 | + | 11.2091i | 0.438309 | + | 0.759174i | ||||
\(219\) | −0.864108 | + | 0.183672i | −0.0583910 | + | 0.0124114i | ||||
\(220\) | −3.40368 | + | 5.72533i | −0.229476 | + | 0.386002i | ||||
\(221\) | 0.474399 | + | 1.46005i | 0.0319115 | + | 0.0982135i | ||||
\(222\) | −1.73315 | + | 1.92486i | −0.116321 | + | 0.129188i | ||||
\(223\) | 2.09937 | − | 0.934699i | 0.140584 | − | 0.0625921i | −0.335239 | − | 0.942133i | \(-0.608817\pi\) |
0.475823 | + | 0.879541i | \(0.342150\pi\) | |||||||
\(224\) | −0.612187 | − | 1.06034i | −0.0409034 | − | 0.0708468i | ||||
\(225\) | −1.60100 | + | 4.53049i | −0.106734 | + | 0.302033i | ||||
\(226\) | −0.922551 | + | 1.59791i | −0.0613672 | + | 0.106291i | ||||
\(227\) | 6.34168 | + | 4.60750i | 0.420912 | + | 0.305811i | 0.778005 | − | 0.628258i | \(-0.216232\pi\) |
−0.357092 | + | 0.934069i | \(0.616232\pi\) | |||||||
\(228\) | −0.00690553 | − | 6.22421i | −0.000457330 | − | 0.412208i | ||||
\(229\) | 4.40665 | + | 13.5623i | 0.291199 | + | 0.896220i | 0.984472 | + | 0.175544i | \(0.0561684\pi\) |
−0.693272 | + | 0.720676i | \(0.743832\pi\) | |||||||
\(230\) | 0.628115 | + | 0.289317i | 0.0414167 | + | 0.0190770i | ||||
\(231\) | 3.48470 | + | 3.87015i | 0.229276 | + | 0.254637i | ||||
\(232\) | 3.72381 | + | 6.44983i | 0.244480 | + | 0.423452i | ||||
\(233\) | 16.6211 | + | 18.4596i | 1.08888 | + | 1.20933i | 0.976467 | + | 0.215666i | \(0.0691923\pi\) |
0.112416 | + | 0.993661i | \(0.464141\pi\) | |||||||
\(234\) | −2.63057 | − | 1.17121i | −0.171966 | − | 0.0765642i | ||||
\(235\) | −0.995098 | − | 10.7909i | −0.0649131 | − | 0.703922i | ||||
\(236\) | 4.55333 | + | 3.30819i | 0.296397 | + | 0.215345i | ||||
\(237\) | 15.3611 | + | 6.83922i | 0.997813 | + | 0.444255i | ||||
\(238\) | −0.573077 | − | 0.255150i | −0.0371471 | − | 0.0165389i | ||||
\(239\) | −15.5276 | − | 11.2814i | −1.00439 | − | 0.729735i | −0.0413679 | − | 0.999144i | \(-0.513172\pi\) |
−0.963026 | + | 0.269409i | \(0.913172\pi\) | |||||||
\(240\) | −2.10604 | − | 2.39990i | −0.135945 | − | 0.154913i | ||||
\(241\) | 0.505159 | + | 0.224911i | 0.0325401 | + | 0.0144878i | 0.422942 | − | 0.906157i | \(-0.360997\pi\) |
−0.390402 | + | 0.920644i | \(0.627664\pi\) | |||||||
\(242\) | 1.42331 | + | 1.58075i | 0.0914940 | + | 0.101614i | ||||
\(243\) | 4.77615 | + | 8.27254i | 0.306390 | + | 0.530683i | ||||
\(244\) | −5.01330 | − | 5.56783i | −0.320944 | − | 0.356444i | ||||
\(245\) | −8.34658 | + | 9.03519i | −0.533243 | + | 0.577237i | ||||
\(246\) | −1.20629 | − | 3.71257i | −0.0769100 | − | 0.236705i | ||||
\(247\) | −11.3037 | + | 6.54293i | −0.719238 | + | 0.416317i | ||||
\(248\) | −0.0455612 | − | 0.0331021i | −0.00289314 | − | 0.00210199i | ||||
\(249\) | −10.7212 | + | 18.5696i | −0.679427 | + | 1.17680i | ||||
\(250\) | 10.8390 | + | 2.74147i | 0.685520 | + | 0.173386i | ||||
\(251\) | −0.891763 | − | 1.54458i | −0.0562876 | − | 0.0974929i | 0.836509 | − | 0.547954i | \(-0.184593\pi\) |
−0.892796 | + | 0.450461i | \(0.851260\pi\) | |||||||
\(252\) | 1.07491 | − | 0.478581i | 0.0677130 | − | 0.0301478i | ||||
\(253\) | −0.616422 | + | 0.684606i | −0.0387541 | + | 0.0430408i | ||||
\(254\) | 0.490655 | + | 1.51008i | 0.0307864 | + | 0.0947508i | ||||
\(255\) | −1.59570 | − | 0.360522i | −0.0999264 | − | 0.0225768i | ||||
\(256\) | −0.978148 | + | 0.207912i | −0.0611342 | + | 0.0129945i | ||||
\(257\) | −0.0269474 | − | 0.0466742i | −0.00168093 | − | 0.00291146i | 0.865184 | − | 0.501455i | \(-0.167202\pi\) |
−0.866865 | + | 0.498544i | \(0.833868\pi\) | |||||||
\(258\) | 0.187073 | − | 0.575751i | 0.0116466 | − | 0.0358447i | ||||
\(259\) | −1.79676 | + | 1.30542i | −0.111645 | + | 0.0811149i | ||||
\(260\) | −2.15159 | + | 6.34517i | −0.133436 | + | 0.393511i | ||||
\(261\) | −6.53847 | + | 2.91111i | −0.404721 | + | 0.180193i | ||||
\(262\) | −2.46114 | − | 1.09577i | −0.152050 | − | 0.0676970i | ||||
\(263\) | 2.37923 | + | 22.6369i | 0.146710 | + | 1.39585i | 0.781857 | + | 0.623458i | \(0.214273\pi\) |
−0.635148 | + | 0.772391i | \(0.719061\pi\) | |||||||
\(264\) | 3.88571 | − | 1.73003i | 0.239149 | − | 0.106476i | ||||
\(265\) | 1.55599 | + | 16.8733i | 0.0955839 | + | 1.03652i | ||||
\(266\) | 1.10382 | − | 5.22152i | 0.0676793 | − | 0.320152i | ||||
\(267\) | 7.32409 | − | 22.5412i | 0.448227 | − | 1.37950i | ||||
\(268\) | 2.46776 | − | 4.27428i | 0.150742 | − | 0.261093i | ||||
\(269\) | −4.20785 | − | 4.67329i | −0.256557 | − | 0.284936i | 0.601082 | − | 0.799187i | \(-0.294736\pi\) |
−0.857639 | + | 0.514252i | \(0.828070\pi\) | |||||||
\(270\) | 10.3259 | − | 7.30271i | 0.628417 | − | 0.444429i | ||||
\(271\) | 9.22994 | + | 1.96188i | 0.560679 | + | 0.119176i | 0.479529 | − | 0.877526i | \(-0.340807\pi\) |
0.0811497 | + | 0.996702i | \(0.474141\pi\) | |||||||
\(272\) | −0.342831 | + | 0.380752i | −0.0207872 | + | 0.0230865i | ||||
\(273\) | 4.23810 | + | 3.07916i | 0.256502 | + | 0.186359i | ||||
\(274\) | 0.231717 | 0.0139985 | ||||||||
\(275\) | −7.77365 | + | 12.7040i | −0.468769 | + | 0.766083i | ||||
\(276\) | −0.220807 | − | 0.382448i | −0.0132910 | − | 0.0230207i | ||||
\(277\) | 11.3498 | + | 8.24609i | 0.681942 | + | 0.495460i | 0.874001 | − | 0.485923i | \(-0.161517\pi\) |
−0.192059 | + | 0.981383i | \(0.561517\pi\) | |||||||
\(278\) | −0.860466 | − | 2.64824i | −0.0516073 | − | 0.158831i | ||||
\(279\) | 0.0362140 | − | 0.0402197i | 0.00216807 | − | 0.00240789i | ||||
\(280\) | −1.33852 | − | 2.38827i | −0.0799918 | − | 0.142726i | ||||
\(281\) | 2.88185 | − | 0.612556i | 0.171917 | − | 0.0365421i | −0.121149 | − | 0.992634i | \(-0.538658\pi\) |
0.293066 | + | 0.956092i | \(0.405325\pi\) | |||||||
\(282\) | −3.46011 | + | 5.99309i | −0.206047 | + | 0.356883i | ||||
\(283\) | 3.35793 | + | 3.72936i | 0.199608 | + | 0.221687i | 0.834636 | − | 0.550802i | \(-0.185678\pi\) |
−0.635028 | + | 0.772489i | \(0.719011\pi\) | |||||||
\(284\) | −7.64473 | + | 5.55422i | −0.453631 | + | 0.329582i | ||||
\(285\) | 0.162196 | − | 13.9168i | 0.00960766 | − | 0.824361i | ||||
\(286\) | −7.22075 | − | 5.24618i | −0.426972 | − | 0.310213i | ||||
\(287\) | −0.349872 | − | 3.32881i | −0.0206523 | − | 0.196493i | ||||
\(288\) | −0.100453 | − | 0.955746i | −0.00591925 | − | 0.0563179i | ||||
\(289\) | 1.74954 | − | 16.6458i | 0.102914 | − | 0.979165i | ||||
\(290\) | 8.14194 | + | 14.5274i | 0.478111 | + | 0.853075i | ||||
\(291\) | 12.4625 | + | 5.54867i | 0.730566 | + | 0.325269i | ||||
\(292\) | −0.191178 | + | 0.588386i | −0.0111879 | + | 0.0344327i | ||||
\(293\) | −5.62169 | −0.328423 | −0.164211 | − | 0.986425i | \(-0.552508\pi\) | ||||
−0.164211 | + | 0.986425i | \(0.552508\pi\) | |||||||
\(294\) | 7.68328 | − | 1.63313i | 0.448098 | − | 0.0952461i | ||||
\(295\) | 10.0863 | + | 7.52669i | 0.587248 | + | 0.438221i | ||||
\(296\) | 0.560532 | + | 1.72514i | 0.0325803 | + | 0.100272i | ||||
\(297\) | 5.20629 | + | 16.0233i | 0.302100 | + | 0.929767i | ||||
\(298\) | 0.960721 | − | 9.14065i | 0.0556531 | − | 0.529504i | ||||
\(299\) | −0.463337 | + | 0.802523i | −0.0267955 | + | 0.0464111i | ||||
\(300\) | −4.64038 | − | 5.42601i | −0.267912 | − | 0.313271i | ||||
\(301\) | 0.259540 | − | 0.449537i | 0.0149597 | − | 0.0259109i | ||||
\(302\) | −10.5317 | + | 4.68903i | −0.606033 | + | 0.269823i | ||||
\(303\) | 2.27133 | + | 6.99043i | 0.130484 | + | 0.401590i | ||||
\(304\) | −3.77733 | − | 2.17526i | −0.216645 | − | 0.124760i | ||||
\(305\) | −11.0503 | − | 12.5921i | −0.632736 | − | 0.721023i | ||||
\(306\) | −0.329464 | − | 0.365907i | −0.0188342 | − | 0.0209175i | ||||
\(307\) | 12.5946 | − | 21.8145i | 0.718812 | − | 1.24502i | −0.242658 | − | 0.970112i | \(-0.578019\pi\) |
0.961471 | − | 0.274908i | \(-0.0886473\pi\) | |||||||
\(308\) | 3.56739 | − | 0.758273i | 0.203271 | − | 0.0432066i | ||||
\(309\) | 1.52612 | + | 14.5201i | 0.0868179 | + | 0.826017i | ||||
\(310\) | −0.100925 | − | 0.0753129i | −0.00573215 | − | 0.00427748i | ||||
\(311\) | −14.8661 | − | 10.8008i | −0.842977 | − | 0.612459i | 0.0802236 | − | 0.996777i | \(-0.474437\pi\) |
−0.923201 | + | 0.384318i | \(0.874437\pi\) | |||||||
\(312\) | 3.46144 | − | 2.51489i | 0.195966 | − | 0.142377i | ||||
\(313\) | −24.2137 | − | 10.7807i | −1.36864 | − | 0.609358i | −0.414867 | − | 0.909882i | \(-0.636172\pi\) |
−0.953774 | + | 0.300524i | \(0.902839\pi\) | |||||||
\(314\) | −0.970494 | + | 9.23364i | −0.0547682 | + | 0.521084i | ||||
\(315\) | 2.41704 | − | 1.03937i | 0.136185 | − | 0.0585621i | ||||
\(316\) | 9.52672 | − | 6.92156i | 0.535920 | − | 0.389368i | ||||
\(317\) | −31.5762 | + | 6.71172i | −1.77349 | + | 0.376968i | −0.974503 | − | 0.224374i | \(-0.927966\pi\) |
−0.798992 | + | 0.601342i | \(0.794633\pi\) | |||||||
\(318\) | 5.41043 | − | 9.37114i | 0.303402 | − | 0.525507i | ||||
\(319\) | −21.6997 | + | 4.61242i | −1.21495 | + | 0.258246i | ||||
\(320\) | −2.19296 | + | 0.436951i | −0.122590 | + | 0.0244263i | ||||
\(321\) | 22.7715 | + | 4.84023i | 1.27098 | + | 0.270155i | ||||
\(322\) | −0.117012 | − | 0.360126i | −0.00652083 | − | 0.0200691i | ||||
\(323\) | −2.22080 | + | 0.235907i | −0.123569 | + | 0.0131262i | ||||
\(324\) | −5.19343 | −0.288524 | ||||||||
\(325\) | −4.99179 | + | 14.1257i | −0.276895 | + | 0.783551i | ||||
\(326\) | −6.01840 | + | 10.4242i | −0.333328 | + | 0.577342i | ||||
\(327\) | 1.93188 | − | 18.3806i | 0.106833 | − | 1.01645i | ||||
\(328\) | −2.67402 | − | 0.568381i | −0.147648 | − | 0.0313836i | ||||
\(329\) | −3.97043 | + | 4.40961i | −0.218897 | + | 0.243110i | ||||
\(330\) | 8.73738 | − | 3.75725i | 0.480977 | − | 0.206830i | ||||
\(331\) | 4.31229 | − | 13.2719i | 0.237025 | − | 0.729488i | −0.759821 | − | 0.650132i | \(-0.774714\pi\) |
0.996846 | − | 0.0793560i | \(-0.0252864\pi\) | |||||||
\(332\) | 7.50819 | + | 13.0046i | 0.412065 | + | 0.713718i | ||||
\(333\) | −1.70510 | + | 0.362431i | −0.0934391 | + | 0.0198611i | ||||
\(334\) | 3.56302 | − | 2.58869i | 0.194960 | − | 0.141647i | ||||
\(335\) | 5.63961 | − | 9.48637i | 0.308125 | − | 0.518296i | ||||
\(336\) | −0.182749 | + | 1.73874i | −0.00996980 | + | 0.0948563i | ||||
\(337\) | −3.35208 | − | 31.8929i | −0.182599 | − | 1.73732i | −0.575557 | − | 0.817761i | \(-0.695215\pi\) |
0.392958 | − | 0.919556i | \(-0.371452\pi\) | |||||||
\(338\) | 3.67419 | + | 1.63585i | 0.199849 | + | 0.0889787i | ||||
\(339\) | 2.40690 | − | 1.07162i | 0.130725 | − | 0.0582025i | ||||
\(340\) | −0.777397 | + | 0.841534i | −0.0421603 | + | 0.0456386i | ||||
\(341\) | 0.135715 | − | 0.0986026i | 0.00734937 | − | 0.00533963i | ||||
\(342\) | 2.45844 | − | 3.39166i | 0.132937 | − | 0.183400i | ||||
\(343\) | 15.3058 | 0.826435 | ||||||||
\(344\) | −0.283682 | − | 0.315061i | −0.0152951 | − | 0.0169869i | ||||
\(345\) | −0.482784 | − | 0.861413i | −0.0259922 | − | 0.0463769i | ||||
\(346\) | 10.5512 | − | 11.7183i | 0.567238 | − | 0.629982i | ||||
\(347\) | 30.3515 | + | 6.45140i | 1.62935 | + | 0.346330i | 0.929747 | − | 0.368200i | \(-0.120026\pi\) |
0.699606 | + | 0.714529i | \(0.253359\pi\) | |||||||
\(348\) | 1.11163 | − | 10.5764i | 0.0595895 | − | 0.566956i | ||||
\(349\) | 31.6070 | 1.69188 | 0.845942 | − | 0.533275i | \(-0.179039\pi\) | ||||
0.845942 | + | 0.533275i | \(0.179039\pi\) | |||||||
\(350\) | −2.92461 | − | 5.37809i | −0.156327 | − | 0.287471i | ||||
\(351\) | 8.47375 | + | 14.6770i | 0.452295 | + | 0.783399i | ||||
\(352\) | 0.311363 | − | 2.96242i | 0.0165957 | − | 0.157898i | ||||
\(353\) | −3.62978 | − | 11.1713i | −0.193194 | − | 0.594589i | −0.999993 | − | 0.00376312i | \(-0.998802\pi\) |
0.806799 | − | 0.590826i | \(-0.201198\pi\) | |||||||
\(354\) | −2.48349 | − | 7.64338i | −0.131996 | − | 0.406241i | ||||
\(355\) | −17.2513 | + | 12.2004i | −0.915602 | + | 0.647532i | ||||
\(356\) | −11.1064 | − | 12.3349i | −0.588640 | − | 0.653751i | ||||
\(357\) | 0.447878 | + | 0.775748i | 0.0237042 | + | 0.0410570i | ||||
\(358\) | 6.21410 | + | 6.90146i | 0.328426 | + | 0.364754i | ||||
\(359\) | 2.33078 | + | 22.1759i | 0.123014 | + | 1.17040i | 0.865632 | + | 0.500681i | \(0.166917\pi\) |
−0.742618 | + | 0.669715i | \(0.766416\pi\) | |||||||
\(360\) | −0.197325 | − | 2.13981i | −0.0103999 | − | 0.112778i | ||||
\(361\) | −5.91140 | − | 18.0570i | −0.311127 | − | 0.950368i | ||||
\(362\) | −4.56712 | + | 3.31820i | −0.240042 | + | 0.174401i | ||||
\(363\) | −0.317491 | − | 3.02072i | −0.0166639 | − | 0.158547i | ||||
\(364\) | 3.35148 | − | 1.49217i | 0.175665 | − | 0.0782112i | ||||
\(365\) | −0.444245 | + | 1.31011i | −0.0232528 | + | 0.0685742i | ||||
\(366\) | 1.11829 | + | 10.6398i | 0.0584540 | + | 0.556153i | ||||
\(367\) | −10.1002 | + | 2.14687i | −0.527229 | + | 0.112066i | −0.463833 | − | 0.885923i | \(-0.653526\pi\) |
−0.0633955 | + | 0.997988i | \(0.520193\pi\) | |||||||
\(368\) | −0.309268 | −0.0161217 | ||||||||
\(369\) | 0.811841 | − | 2.49859i | 0.0422628 | − | 0.130071i | ||||
\(370\) | 1.20405 | + | 3.87321i | 0.0625956 | + | 0.201359i | ||||
\(371\) | 6.20839 | − | 6.89512i | 0.322324 | − | 0.357977i | ||||
\(372\) | 0.0248500 | + | 0.0764805i | 0.00128841 | + | 0.00396533i | ||||
\(373\) | −3.17971 | − | 2.31019i | −0.164639 | − | 0.119617i | 0.502415 | − | 0.864627i | \(-0.332445\pi\) |
−0.667054 | + | 0.745009i | \(0.732445\pi\) | |||||||
\(374\) | −0.763082 | − | 1.32170i | −0.0394581 | − | 0.0683434i | ||||
\(375\) | −10.2205 | − | 12.2644i | −0.527785 | − | 0.633330i | ||||
\(376\) | 2.42316 | + | 4.19704i | 0.124965 | + | 0.216446i | ||||
\(377\) | −20.3864 | + | 9.07660i | −1.04995 | + | 0.467468i | ||||
\(378\) | −6.77379 | − | 1.43981i | −0.348406 | − | 0.0740560i | ||||
\(379\) | 10.2568 | + | 31.5672i | 0.526857 | + | 1.62150i | 0.760614 | + | 0.649204i | \(0.224898\pi\) |
−0.233757 | + | 0.972295i | \(0.575102\pi\) | |||||||
\(380\) | −8.38360 | − | 4.97144i | −0.430070 | − | 0.255029i | ||||
\(381\) | 0.700621 | − | 2.15629i | 0.0358939 | − | 0.110470i | ||||
\(382\) | 8.89994 | − | 15.4151i | 0.455361 | − | 0.788708i | ||||
\(383\) | 21.4969 | + | 23.8747i | 1.09844 | + | 1.21994i | 0.973720 | + | 0.227748i | \(0.0731361\pi\) |
0.124719 | + | 0.992192i | \(0.460197\pi\) | |||||||
\(384\) | 1.30448 | + | 0.580792i | 0.0665690 | + | 0.0296384i | ||||
\(385\) | 7.99792 | − | 1.59360i | 0.407612 | − | 0.0812174i | ||||
\(386\) | 0.160503 | − | 1.52708i | 0.00816937 | − | 0.0777263i | ||||
\(387\) | 0.329615 | − | 0.239479i | 0.0167553 | − | 0.0121734i | ||||
\(388\) | 7.72904 | − | 5.61548i | 0.392383 | − | 0.285083i | ||||
\(389\) | 2.16322 | − | 20.5817i | 0.109680 | − | 1.04353i | −0.791820 | − | 0.610755i | \(-0.790866\pi\) |
0.901500 | − | 0.432780i | \(-0.142467\pi\) | |||||||
\(390\) | 7.81117 | − | 5.52421i | 0.395534 | − | 0.279729i | ||||
\(391\) | −0.128192 | + | 0.0931370i | −0.00648295 | + | 0.00471014i | ||||
\(392\) | 1.69987 | − | 5.23168i | 0.0858566 | − | 0.264240i | ||||
\(393\) | 1.92346 | + | 3.33154i | 0.0970259 | + | 0.168054i | ||||
\(394\) | −16.7493 | − | 18.6019i | −0.843816 | − | 0.937152i | ||||
\(395\) | 21.4982 | − | 15.2039i | 1.08169 | − | 0.764993i | ||||
\(396\) | 2.80005 | + | 0.595168i | 0.140708 | + | 0.0299083i | ||||
\(397\) | 3.15194 | + | 0.669965i | 0.158191 | + | 0.0336246i | 0.286326 | − | 0.958132i | \(-0.407566\pi\) |
−0.128135 | + | 0.991757i | \(0.540899\pi\) | |||||||
\(398\) | −4.18073 | − | 3.03748i | −0.209561 | − | 0.152255i | ||||
\(399\) | −5.65767 | + | 5.10556i | −0.283238 | + | 0.255598i | ||||
\(400\) | −4.91568 | + | 0.914386i | −0.245784 | + | 0.0457193i | ||||
\(401\) | 0.895123 | − | 1.55040i | 0.0447003 | − | 0.0774232i | −0.842810 | − | 0.538212i | \(-0.819100\pi\) |
0.887510 | + | 0.460789i | \(0.152433\pi\) | |||||||
\(402\) | −6.43828 | + | 2.86651i | −0.321112 | + | 0.142968i | ||||
\(403\) | 0.112912 | − | 0.125402i | 0.00562455 | − | 0.00624670i | ||||
\(404\) | 5.03495 | + | 1.07021i | 0.250498 | + | 0.0532450i | ||||
\(405\) | −11.6119 | − | 0.148218i | −0.577000 | − | 0.00736501i | ||||
\(406\) | 2.81782 | − | 8.67237i | 0.139846 | − | 0.430402i | ||||
\(407\) | −5.40320 | −0.267826 | ||||||||
\(408\) | 0.715617 | − | 0.152109i | 0.0354283 | − | 0.00753052i | ||||
\(409\) | −35.5950 | − | 15.8479i | −1.76006 | − | 0.783630i | −0.989190 | − | 0.146638i | \(-0.953155\pi\) |
−0.770871 | − | 0.636991i | \(-0.780179\pi\) | |||||||
\(410\) | −5.96258 | − | 1.34715i | −0.294471 | − | 0.0665310i | ||||
\(411\) | −0.267684 | − | 0.194484i | −0.0132039 | − | 0.00959317i | ||||
\(412\) | 9.34064 | + | 4.15872i | 0.460180 | + | 0.204885i | ||||
\(413\) | −0.720311 | − | 6.85330i | −0.0354442 | − | 0.337229i | ||||
\(414\) | 0.0310669 | − | 0.295582i | 0.00152685 | − | 0.0145270i | ||||
\(415\) | 16.4163 | + | 29.2910i | 0.805845 | + | 1.43784i | ||||
\(416\) | −0.313204 | − | 2.97993i | −0.0153561 | − | 0.146103i | ||||
\(417\) | −1.22869 | + | 3.78151i | −0.0601691 | + | 0.185181i | ||||
\(418\) | 9.63937 | − | 8.69871i | 0.471477 | − | 0.425468i | ||||
\(419\) | 5.97871 | − | 18.4006i | 0.292079 | − | 0.898928i | −0.692108 | − | 0.721794i | \(-0.743318\pi\) |
0.984187 | − | 0.177133i | \(-0.0566823\pi\) | |||||||
\(420\) | −0.458230 | + | 3.88242i | −0.0223593 | + | 0.189443i | ||||
\(421\) | −28.9405 | − | 6.15149i | −1.41047 | − | 0.299805i | −0.561166 | − | 0.827703i | \(-0.689647\pi\) |
−0.849308 | + | 0.527898i | \(0.822980\pi\) | |||||||
\(422\) | −9.90544 | + | 11.0011i | −0.482189 | + | 0.535525i | ||||
\(423\) | −4.25472 | + | 1.89432i | −0.206872 | + | 0.0921051i | ||||
\(424\) | −3.78900 | − | 6.56274i | −0.184010 | − | 0.318715i | ||||
\(425\) | −1.76219 | + | 1.85939i | −0.0854786 | + | 0.0901935i | ||||
\(426\) | 13.4931 | 0.653743 | ||||||||
\(427\) | −0.958874 | + | 9.12307i | −0.0464031 | + | 0.441496i | ||||
\(428\) | 10.9091 | − | 12.1158i | 0.527313 | − | 0.585641i | ||||
\(429\) | 3.93835 | + | 12.1210i | 0.190146 | + | 0.585208i | ||||
\(430\) | −0.625289 | − | 0.712536i | −0.0301541 | − | 0.0343615i | ||||
\(431\) | −18.7112 | + | 3.97719i | −0.901288 | + | 0.191575i | −0.635176 | − | 0.772368i | \(-0.719072\pi\) |
−0.266112 | + | 0.963942i | \(0.585739\pi\) | |||||||
\(432\) | −2.82803 | + | 4.89829i | −0.136063 | + | 0.235669i | ||||
\(433\) | −1.24386 | + | 0.264392i | −0.0597763 | + | 0.0127059i | −0.237703 | − | 0.971338i | \(-0.576394\pi\) |
0.177926 | + | 0.984044i | \(0.443061\pi\) | |||||||
\(434\) | 0.00720752 | + | 0.0685749i | 0.000345972 | + | 0.00329170i | ||||
\(435\) | 2.78732 | − | 23.6160i | 0.133642 | − | 1.13230i | ||||
\(436\) | −10.4712 | − | 7.60777i | −0.501480 | − | 0.364346i | ||||
\(437\) | −1.00281 | − | 0.900921i | −0.0479709 | − | 0.0430969i | ||||
\(438\) | 0.714696 | − | 0.519257i | 0.0341495 | − | 0.0248110i | ||||
\(439\) | 27.9007 | − | 12.4222i | 1.33163 | − | 0.592878i | 0.387320 | − | 0.921945i | \(-0.373401\pi\) |
0.944306 | + | 0.329067i | \(0.106734\pi\) | |||||||
\(440\) | 0.780719 | − | 6.61475i | 0.0372193 | − | 0.315346i | ||||
\(441\) | 4.82940 | + | 2.15019i | 0.229971 | + | 0.102390i | ||||
\(442\) | −1.02724 | − | 1.14087i | −0.0488608 | − | 0.0542654i | ||||
\(443\) | −0.872437 | − | 1.51111i | −0.0414507 | − | 0.0717948i | 0.844556 | − | 0.535468i | \(-0.179865\pi\) |
−0.886006 | + | 0.463673i | \(0.846531\pi\) | |||||||
\(444\) | 0.800401 | − | 2.46338i | 0.0379854 | − | 0.116907i | ||||
\(445\) | −24.4807 | − | 27.8965i | −1.16050 | − | 1.32242i | ||||
\(446\) | −1.53769 | + | 1.70778i | −0.0728118 | + | 0.0808657i | ||||
\(447\) | −8.78175 | + | 9.75312i | −0.415363 | + | 0.461307i | ||||
\(448\) | 0.990539 | + | 0.719669i | 0.0467986 | + | 0.0340011i | ||||
\(449\) | 5.74838 | 0.271283 | 0.135641 | − | 0.990758i | \(-0.456691\pi\) | ||||
0.135641 | + | 0.990758i | \(0.456691\pi\) | |||||||
\(450\) | −0.380127 | − | 4.78999i | −0.0179193 | − | 0.225802i | ||||
\(451\) | 4.07158 | − | 7.05219i | 0.191723 | − | 0.332074i | ||||
\(452\) | 0.192866 | − | 1.83499i | 0.00907164 | − | 0.0863109i | ||||
\(453\) | 16.1021 | + | 3.42260i | 0.756541 | + | 0.160808i | ||||
\(454\) | −7.66746 | − | 1.62977i | −0.359852 | − | 0.0764888i | ||||
\(455\) | 7.53611 | − | 3.24068i | 0.353298 | − | 0.151925i | ||||
\(456\) | 2.53792 | + | 5.68329i | 0.118849 | + | 0.266144i | ||||
\(457\) | −7.24468 | −0.338892 | −0.169446 | − | 0.985539i | \(-0.554198\pi\) | ||||
−0.169446 | + | 0.985539i | \(0.554198\pi\) | |||||||
\(458\) | −9.54194 | − | 10.5974i | −0.445866 | − | 0.495184i | ||||
\(459\) | 0.302912 | + | 2.88202i | 0.0141387 | + | 0.134521i | ||||
\(460\) | −0.691488 | − | 0.00882636i | −0.0322408 | − | 0.000411531i | ||||
\(461\) | 2.48443 | − | 1.10614i | 0.115711 | − | 0.0515180i | −0.348064 | − | 0.937471i | \(-0.613161\pi\) |
0.463776 | + | 0.885953i | \(0.346494\pi\) | |||||||
\(462\) | −4.75756 | − | 2.11820i | −0.221342 | − | 0.0985477i | ||||
\(463\) | −1.65967 | + | 1.20582i | −0.0771315 | + | 0.0560393i | −0.625683 | − | 0.780078i | \(-0.715180\pi\) |
0.548551 | + | 0.836117i | \(0.315180\pi\) | |||||||
\(464\) | −6.02525 | − | 4.37760i | −0.279715 | − | 0.203225i | ||||
\(465\) | 0.0533791 | + | 0.171711i | 0.00247540 | + | 0.00796291i | ||||
\(466\) | −22.6923 | − | 10.1033i | −1.05120 | − | 0.468025i | ||||
\(467\) | 5.29749 | − | 16.3040i | 0.245139 | − | 0.754459i | −0.750475 | − | 0.660899i | \(-0.770175\pi\) |
0.995614 | − | 0.0935602i | \(-0.0298248\pi\) | |||||||
\(468\) | 2.87952 | 0.133106 | ||||||||
\(469\) | −5.91086 | + | 1.25639i | −0.272938 | + | 0.0580148i | ||||
\(470\) | 5.29813 | + | 9.45326i | 0.244385 | + | 0.436046i | ||||
\(471\) | 8.87109 | − | 9.85234i | 0.408758 | − | 0.453972i | ||||
\(472\) | −5.50524 | − | 1.17017i | −0.253399 | − | 0.0538617i | ||||
\(473\) | 1.15368 | − | 0.513649i | 0.0530461 | − | 0.0236176i | ||||
\(474\) | −16.8149 | −0.772332 | ||||||||
\(475\) | −18.6029 | − | 11.3548i | −0.853560 | − | 0.520995i | ||||
\(476\) | 0.627311 | 0.0287527 | ||||||||
\(477\) | 6.65293 | − | 2.96207i | 0.304617 | − | 0.135624i | ||||
\(478\) | 18.7737 | + | 3.99047i | 0.858689 | + | 0.182520i | ||||
\(479\) | 6.82008 | − | 7.57447i | 0.311617 | − | 0.346086i | −0.566909 | − | 0.823781i | \(-0.691861\pi\) |
0.878526 | + | 0.477694i | \(0.158527\pi\) | |||||||
\(480\) | 2.90009 | + | 1.33581i | 0.132371 | + | 0.0609713i | ||||
\(481\) | −5.31636 | + | 1.13003i | −0.242405 | + | 0.0515248i | ||||
\(482\) | −0.552965 | −0.0251869 | ||||||||
\(483\) | −0.167085 | + | 0.514236i | −0.00760265 | + | 0.0233985i | ||||
\(484\) | −1.94321 | − | 0.865172i | −0.0883276 | − | 0.0393260i | ||||
\(485\) | 17.4415 | − | 12.3350i | 0.791979 | − | 0.560103i | ||||
\(486\) | −7.72797 | − | 5.61470i | −0.350548 | − | 0.254688i | ||||
\(487\) | 11.0300 | − | 8.01378i | 0.499818 | − | 0.363139i | −0.309130 | − | 0.951020i | \(-0.600038\pi\) |
0.808947 | + | 0.587881i | \(0.200038\pi\) | |||||||
\(488\) | 6.84452 | + | 3.04738i | 0.309837 | + | 0.137948i | ||||
\(489\) | 15.7018 | − | 6.99088i | 0.710059 | − | 0.316138i | ||||
\(490\) | 3.95004 | − | 11.6489i | 0.178444 | − | 0.526244i | ||||
\(491\) | 1.49564 | + | 14.2301i | 0.0674975 | + | 0.642196i | 0.975009 | + | 0.222168i | \(0.0713132\pi\) |
−0.907511 | + | 0.420028i | \(0.862020\pi\) | |||||||
\(492\) | 2.61203 | + | 2.90096i | 0.117760 | + | 0.130785i | ||||
\(493\) | −3.81581 | −0.171855 | ||||||||
\(494\) | 7.66520 | − | 10.5749i | 0.344874 | − | 0.475787i | ||||
\(495\) | 6.24360 | + | 1.41064i | 0.280629 | + | 0.0634036i | ||||
\(496\) | 0.0550860 | + | 0.0117089i | 0.00247344 | + | 0.000525745i | ||||
\(497\) | 11.3168 | + | 2.40546i | 0.507627 | + | 0.107899i | ||||
\(498\) | 2.24134 | − | 21.3249i | 0.100437 | − | 0.955591i | ||||
\(499\) | −10.7335 | + | 18.5910i | −0.480499 | + | 0.832249i | −0.999750 | − | 0.0223731i | \(-0.992878\pi\) |
0.519251 | + | 0.854622i | \(0.326211\pi\) | |||||||
\(500\) | −11.0170 | + | 1.90417i | −0.492695 | + | 0.0851572i | ||||
\(501\) | −6.28881 | −0.280963 | ||||||||
\(502\) | 1.44290 | + | 1.04833i | 0.0643999 | + | 0.0467892i | ||||
\(503\) | 8.36633 | − | 9.29176i | 0.373036 | − | 0.414299i | −0.527172 | − | 0.849759i | \(-0.676748\pi\) |
0.900208 | + | 0.435460i | \(0.143414\pi\) | |||||||
\(504\) | −0.787323 | + | 0.874411i | −0.0350702 | + | 0.0389494i | ||||
\(505\) | 11.2270 | + | 2.53656i | 0.499596 | + | 0.112876i | ||||
\(506\) | 0.284675 | − | 0.876141i | 0.0126554 | − | 0.0389492i | ||||
\(507\) | −2.87150 | − | 4.97358i | −0.127528 | − | 0.220885i | ||||
\(508\) | −1.06244 | − | 1.17996i | −0.0471382 | − | 0.0523522i | ||||
\(509\) | −8.90679 | − | 3.96556i | −0.394786 | − | 0.175770i | 0.199735 | − | 0.979850i | \(-0.435992\pi\) |
−0.594522 | + | 0.804080i | \(0.702659\pi\) | |||||||
\(510\) | 1.60438 | − | 0.319675i | 0.0710431 | − | 0.0141555i | ||||
\(511\) | 0.691990 | − | 0.308094i | 0.0306118 | − | 0.0136293i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −23.4390 | + | 7.64457i | −1.03486 | + | 0.337516i | ||||
\(514\) | 0.0436018 | + | 0.0316785i | 0.00192319 | + | 0.00139728i | ||||
\(515\) | 20.7659 | + | 9.56500i | 0.915055 | + | 0.421484i | ||||
\(516\) | 0.0632795 | + | 0.602064i | 0.00278572 | + | 0.0265044i | ||||
\(517\) | −14.1205 | + | 3.00140i | −0.621018 | + | 0.132001i | ||||
\(518\) | 1.11046 | − | 1.92337i | 0.0487907 | − | 0.0845080i | ||||
\(519\) | −22.0244 | + | 4.68144i | −0.966765 | + | 0.205492i | ||||
\(520\) | −0.615242 | − | 6.67173i | −0.0269801 | − | 0.292575i | ||||
\(521\) | 2.51977 | + | 7.75506i | 0.110393 | + | 0.339755i | 0.990958 | − | 0.134170i | \(-0.0428367\pi\) |
−0.880565 | + | 0.473925i | \(0.842837\pi\) | |||||||
\(522\) | 4.78913 | − | 5.31887i | 0.209614 | − | 0.232800i | ||||
\(523\) | 3.64333 | − | 34.6640i | 0.159312 | − | 1.51575i | −0.564315 | − | 0.825560i | \(-0.690860\pi\) |
0.723627 | − | 0.690191i | \(-0.242474\pi\) | |||||||
\(524\) | 2.69406 | 0.117690 | ||||||||
\(525\) | −1.13535 | + | 8.66757i | −0.0495508 | + | 0.378284i | ||||
\(526\) | −11.3808 | − | 19.7121i | −0.496225 | − | 0.859488i | ||||
\(527\) | 0.0263594 | − | 0.0117360i | 0.00114824 | − | 0.000511227i | ||||
\(528\) | −2.84611 | + | 3.16092i | −0.123861 | + | 0.137561i | ||||
\(529\) | 22.4038 | + | 4.76208i | 0.974080 | + | 0.207047i | ||||
\(530\) | −8.28447 | − | 14.7817i | −0.359854 | − | 0.642074i | ||||
\(531\) | 1.67141 | − | 5.14406i | 0.0725329 | − | 0.223233i | ||||
\(532\) | 1.11540 | + | 5.21906i | 0.0483587 | + | 0.226275i | ||||
\(533\) | 2.53125 | − | 7.79039i | 0.109641 | − | 0.337439i | ||||
\(534\) | 2.47746 | + | 23.5714i | 0.107210 | + | 1.02003i | ||||
\(535\) | 24.7374 | − | 26.7783i | 1.06949 | − | 1.15773i | ||||
\(536\) | −0.515901 | + | 4.90847i | −0.0222836 | + | 0.212014i | ||||
\(537\) | −1.38615 | − | 13.1883i | −0.0598167 | − | 0.569118i | ||||
\(538\) | 5.74486 | + | 2.55778i | 0.247679 | + | 0.110274i | ||||
\(539\) | 13.2564 | + | 9.63132i | 0.570993 | + | 0.414850i | ||||
\(540\) | −6.46294 | + | 10.8713i | −0.278121 | + | 0.467826i | ||||
\(541\) | 24.6951 | + | 10.9949i | 1.06172 | + | 0.472710i | 0.861877 | − | 0.507118i | \(-0.169289\pi\) |
0.199846 | + | 0.979827i | \(0.435956\pi\) | |||||||
\(542\) | −9.22994 | + | 1.96188i | −0.396460 | + | 0.0842701i | ||||
\(543\) | 8.06106 | 0.345933 | ||||||||
\(544\) | 0.158326 | − | 0.487276i | 0.00678815 | − | 0.0208918i | ||||
\(545\) | −23.1953 | − | 17.3090i | −0.993577 | − | 0.741434i | ||||
\(546\) | −5.12410 | − | 1.08916i | −0.219291 | − | 0.0466118i | ||||
\(547\) | 11.1239 | − | 12.3544i | 0.475624 | − | 0.528234i | −0.456815 | − | 0.889562i | \(-0.651010\pi\) |
0.932439 | + | 0.361328i | \(0.117676\pi\) | |||||||
\(548\) | −0.211684 | + | 0.0942476i | −0.00904267 | + | 0.00402606i | ||||
\(549\) | −3.60007 | + | 6.23551i | −0.153647 | + | 0.266125i | ||||
\(550\) | 1.93438 | − | 14.7675i | 0.0824822 | − | 0.629690i | ||||
\(551\) | −6.78475 | − | 31.7465i | −0.289040 | − | 1.35245i | ||||
\(552\) | 0.357273 | + | 0.259574i | 0.0152065 | + | 0.0110482i | ||||
\(553\) | −14.1028 | − | 2.99763i | −0.599710 | − | 0.127472i | ||||
\(554\) | −13.7225 | − | 2.91681i | −0.583014 | − | 0.123923i | ||||
\(555\) | 1.85991 | − | 5.48500i | 0.0789488 | − | 0.232825i | ||||
\(556\) | 1.86321 | + | 2.06931i | 0.0790178 | + | 0.0877582i | ||||
\(557\) | −13.0204 | − | 22.5520i | −0.551691 | − | 0.955558i | −0.998153 | − | 0.0607547i | \(-0.980649\pi\) |
0.446461 | − | 0.894803i | \(-0.352684\pi\) | |||||||
\(558\) | −0.0167243 | + | 0.0514721i | −0.000707996 | + | 0.00217899i | ||||
\(559\) | 1.02771 | − | 0.746675i | 0.0434675 | − | 0.0315810i | ||||
\(560\) | 2.19419 | + | 1.63737i | 0.0927216 | + | 0.0691914i | ||||
\(561\) | −0.227795 | + | 2.16732i | −0.00961750 | + | 0.0915044i | ||||
\(562\) | −2.38355 | + | 1.73175i | −0.100544 | + | 0.0730496i | ||||
\(563\) | 29.0049 | − | 21.0733i | 1.22241 | − | 0.888134i | 0.226114 | − | 0.974101i | \(-0.427398\pi\) |
0.996298 | + | 0.0859665i | \(0.0273978\pi\) | |||||||
\(564\) | 0.723360 | − | 6.88231i | 0.0304590 | − | 0.289798i | ||||
\(565\) | 0.483596 | − | 4.09733i | 0.0203450 | − | 0.172376i | ||||
\(566\) | −4.58449 | − | 2.04115i | −0.192700 | − | 0.0857957i | ||||
\(567\) | 4.25480 | + | 4.72543i | 0.178685 | + | 0.198449i | ||||
\(568\) | 4.72470 | − | 8.18343i | 0.198244 | − | 0.343369i | ||||
\(569\) | 0.782955 | − | 2.40969i | 0.0328232 | − | 0.101019i | −0.933303 | − | 0.359091i | \(-0.883087\pi\) |
0.966126 | + | 0.258071i | \(0.0830869\pi\) | |||||||
\(570\) | 5.51230 | + | 12.7796i | 0.230885 | + | 0.535279i | ||||
\(571\) | 10.0746 | + | 31.0063i | 0.421607 | + | 1.29757i | 0.906206 | + | 0.422836i | \(0.138966\pi\) |
−0.484599 | + | 0.874736i | \(0.661034\pi\) | |||||||
\(572\) | 8.73030 | + | 1.85568i | 0.365032 | + | 0.0775900i | ||||
\(573\) | −23.2196 | + | 10.3380i | −0.970013 | + | 0.431877i | ||||
\(574\) | 1.67357 | + | 2.89871i | 0.0698535 | + | 0.120990i | ||||
\(575\) | −1.54584 | − | 0.0394695i | −0.0644658 | − | 0.00164599i | ||||
\(576\) | 0.480505 | + | 0.832260i | 0.0200211 | + | 0.0346775i | ||||
\(577\) | −16.9760 | − | 12.3338i | −0.706722 | − | 0.513463i | 0.175393 | − | 0.984499i | \(-0.443880\pi\) |
−0.882114 | + | 0.471035i | \(0.843880\pi\) | |||||||
\(578\) | 5.17217 | + | 15.9183i | 0.215134 | + | 0.662114i | ||||
\(579\) | −1.46712 | + | 1.62940i | −0.0609715 | + | 0.0677157i | ||||
\(580\) | −13.3468 | − | 9.95977i | −0.554197 | − | 0.413557i | ||||
\(581\) | 5.68148 | − | 17.4858i | 0.235707 | − | 0.725433i | ||||
\(582\) | −13.6419 | −0.565476 | ||||||||
\(583\) | 22.0796 | − | 4.69316i | 0.914444 | − | 0.194371i | ||||
\(584\) | −0.0646682 | − | 0.615276i | −0.00267599 | − | 0.0254603i | ||||
\(585\) | 6.43828 | + | 0.0821803i | 0.266190 | + | 0.00339774i | ||||
\(586\) | 5.13567 | − | 2.28655i | 0.212153 | − | 0.0944564i | ||||
\(587\) | 2.43802 | + | 23.1962i | 0.100628 | + | 0.957409i | 0.922045 | + | 0.387082i | \(0.126517\pi\) |
−0.821417 | + | 0.570327i | \(0.806816\pi\) | |||||||
\(588\) | −6.35477 | + | 4.61701i | −0.262066 | + | 0.190402i | ||||
\(589\) | 0.144509 | + | 0.198436i | 0.00595439 | + | 0.00817643i | ||||
\(590\) | −12.2757 | − | 2.77349i | −0.505382 | − | 0.114183i | ||||
\(591\) | 3.73617 | + | 35.5473i | 0.153686 | + | 1.46222i | ||||
\(592\) | −1.21375 | − | 1.34800i | −0.0498848 | − | 0.0554027i | ||||
\(593\) | −2.58058 | − | 4.46970i | −0.105972 | − | 0.183549i | 0.808163 | − | 0.588959i | \(-0.200462\pi\) |
−0.914135 | + | 0.405410i | \(0.867129\pi\) | |||||||
\(594\) | −11.2735 | − | 12.5204i | −0.462555 | − | 0.513720i | ||||
\(595\) | 1.40260 | + | 0.0179032i | 0.0575008 | + | 0.000733958i | ||||
\(596\) | 2.84018 | + | 8.74116i | 0.116338 | + | 0.358052i | ||||
\(597\) | 2.28026 | + | 7.01792i | 0.0933248 | + | 0.287224i | ||||
\(598\) | 0.0968638 | − | 0.921598i | 0.00396106 | − | 0.0376869i | ||||
\(599\) | −6.22300 | − | 10.7786i | −0.254265 | − | 0.440400i | 0.710431 | − | 0.703767i | \(-0.248500\pi\) |
−0.964696 | + | 0.263367i | \(0.915167\pi\) | |||||||
\(600\) | 6.44616 | + | 3.06950i | 0.263163 | + | 0.125312i | ||||
\(601\) | 42.5401 | 1.73525 | 0.867623 | − | 0.497223i | \(-0.165647\pi\) | ||||
0.867623 | + | 0.497223i | \(0.165647\pi\) | |||||||
\(602\) | −0.0542587 | + | 0.516237i | −0.00221142 | + | 0.0210402i | ||||
\(603\) | −4.63943 | − | 0.986142i | −0.188932 | − | 0.0401588i | ||||
\(604\) | 7.71402 | − | 8.56729i | 0.313879 | − | 0.348598i | ||||
\(605\) | −4.32010 | − | 1.98988i | −0.175637 | − | 0.0809003i | ||||
\(606\) | −4.91823 | − | 5.46225i | −0.199789 | − | 0.221889i | ||||
\(607\) | −39.4762 | −1.60229 | −0.801145 | − | 0.598471i | \(-0.795775\pi\) | ||||
−0.801145 | + | 0.598471i | \(0.795775\pi\) | |||||||
\(608\) | 4.33552 | + | 0.450819i | 0.175829 | + | 0.0182831i | ||||
\(609\) | −10.5341 | + | 7.65345i | −0.426862 | + | 0.310134i | ||||
\(610\) | 15.2166 | + | 7.00893i | 0.616102 | + | 0.283783i | ||||
\(611\) | −13.2658 | + | 5.90634i | −0.536679 | + | 0.238945i | ||||
\(612\) | 0.449808 | + | 0.200267i | 0.0181824 | + | 0.00809533i | ||||
\(613\) | 0.143078 | + | 1.36130i | 0.00577889 | + | 0.0549824i | 0.997031 | − | 0.0769973i | \(-0.0245333\pi\) |
−0.991252 | + | 0.131980i | \(0.957867\pi\) | |||||||
\(614\) | −2.63299 | + | 25.0512i | −0.106259 | + | 1.01099i | ||||
\(615\) | 5.75742 | + | 6.56076i | 0.232161 | + | 0.264555i | ||||
\(616\) | −2.95056 | + | 2.14371i | −0.118881 | + | 0.0863724i | ||||
\(617\) | −11.5086 | + | 2.44623i | −0.463319 | + | 0.0984816i | −0.433656 | − | 0.901078i | \(-0.642777\pi\) |
−0.0296631 | + | 0.999560i | \(0.509443\pi\) | |||||||
\(618\) | −7.30002 | − | 12.6440i | −0.293650 | − | 0.508616i | ||||
\(619\) | 9.10140 | − | 28.0112i | 0.365816 | − | 1.12587i | −0.583652 | − | 0.812004i | \(-0.698377\pi\) |
0.949468 | − | 0.313863i | \(-0.101623\pi\) | |||||||
\(620\) | 0.122832 | + | 0.0277519i | 0.00493305 | + | 0.00111454i | ||||
\(621\) | −1.17047 | + | 1.29994i | −0.0469692 | + | 0.0521646i | ||||
\(622\) | 17.9739 | + | 3.82047i | 0.720688 | + | 0.153187i | ||||
\(623\) | −2.12428 | + | 20.2112i | −0.0851076 | + | 0.809745i | ||||
\(624\) | −2.13929 | + | 3.70536i | −0.0856402 | + | 0.148333i | ||||
\(625\) | −24.6871 | + | 3.94309i | −0.987483 | + | 0.157724i | ||||
\(626\) | 26.5052 | 1.05936 | ||||||||
\(627\) | −18.4366 | + | 1.95845i | −0.736286 | + | 0.0782128i | ||||
\(628\) | −2.86907 | − | 8.83008i | −0.114488 | − | 0.352359i | ||||
\(629\) | −0.909057 | − | 0.193226i | −0.0362465 | − | 0.00770443i | ||||
\(630\) | −1.78532 | + | 1.93261i | −0.0711289 | + | 0.0769972i | ||||
\(631\) | 15.3248 | − | 3.25740i | 0.610072 | − | 0.129675i | 0.107493 | − | 0.994206i | \(-0.465718\pi\) |
0.502580 | + | 0.864531i | \(0.332384\pi\) | |||||||
\(632\) | −5.88783 | + | 10.1980i | −0.234205 | + | 0.405656i | ||||
\(633\) | 20.6764 | − | 4.39490i | 0.821813 | − | 0.174682i | ||||
\(634\) | 26.1164 | − | 18.9747i | 1.03721 | − | 0.753580i | ||||
\(635\) | −2.34182 | − | 2.66858i | −0.0929323 | − | 0.105899i | ||||
\(636\) | −1.13109 | + | 10.7616i | −0.0448505 | + | 0.426724i | ||||
\(637\) | 15.0576 | + | 6.70409i | 0.596605 | + | 0.265626i | ||||
\(638\) | 17.9477 | − | 13.0397i | 0.710554 | − | 0.516248i | ||||
\(639\) | 7.34667 | + | 5.33767i | 0.290630 | + | 0.211155i | ||||
\(640\) | 1.82564 | − | 1.29113i | 0.0721649 | − | 0.0510365i | ||||
\(641\) | 1.33862 | + | 12.7361i | 0.0528722 | + | 0.503045i | 0.988626 | + | 0.150392i | \(0.0480537\pi\) |
−0.935754 | + | 0.352653i | \(0.885280\pi\) | |||||||
\(642\) | −22.7715 | + | 4.84023i | −0.898719 | + | 0.191029i | ||||
\(643\) | −8.63120 | + | 14.9497i | −0.340381 | + | 0.589558i | −0.984504 | − | 0.175365i | \(-0.943890\pi\) |
0.644122 | + | 0.764923i | \(0.277223\pi\) | |||||||
\(644\) | 0.253373 | + | 0.281399i | 0.00998428 | + | 0.0110887i | ||||
\(645\) | 0.124303 | + | 1.34795i | 0.00489443 | + | 0.0530756i | ||||
\(646\) | 1.93285 | − | 1.11879i | 0.0760469 | − | 0.0440183i | ||||
\(647\) | −2.70137 | − | 8.31397i | −0.106202 | − | 0.326856i | 0.883809 | − | 0.467848i | \(-0.154971\pi\) |
−0.990011 | + | 0.140992i | \(0.954971\pi\) | |||||||
\(648\) | 4.74443 | − | 2.11236i | 0.186379 | − | 0.0829812i | ||||
\(649\) | 8.38252 | − | 14.5189i | 0.329043 | − | 0.569918i | ||||
\(650\) | −1.18520 | − | 14.9348i | −0.0464874 | − | 0.585790i | ||||
\(651\) | 0.0492299 | − | 0.0852686i | 0.00192947 | − | 0.00334194i | ||||
\(652\) | 1.25819 | − | 11.9709i | 0.0492744 | − | 0.468815i | ||||
\(653\) | −12.8453 | − | 39.5337i | −0.502674 | − | 1.54707i | −0.804645 | − | 0.593756i | \(-0.797645\pi\) |
0.301971 | − | 0.953317i | \(-0.402355\pi\) | |||||||
\(654\) | 5.71122 | + | 17.5773i | 0.223326 | + | 0.687328i | ||||
\(655\) | 6.02360 | + | 0.0768871i | 0.235362 | + | 0.00300423i | ||||
\(656\) | 2.67402 | − | 0.568381i | 0.104403 | − | 0.0221915i | ||||
\(657\) | 0.594544 | 0.0231954 | ||||||||
\(658\) | 1.83362 | − | 5.64330i | 0.0714819 | − | 0.219999i | ||||
\(659\) | 40.2997 | + | 17.9426i | 1.56985 | + | 0.698944i | 0.993023 | − | 0.117920i | \(-0.0376227\pi\) |
0.576830 | + | 0.816864i | \(0.304289\pi\) | |||||||
\(660\) | −6.45378 | + | 6.98623i | −0.251213 | + | 0.271939i | ||||
\(661\) | −2.39946 | + | 22.8294i | −0.0933283 | + | 0.887960i | 0.843255 | + | 0.537514i | \(0.180637\pi\) |
−0.936583 | + | 0.350446i | \(0.886030\pi\) | |||||||
\(662\) | 1.45868 | + | 13.8784i | 0.0566932 | + | 0.539400i | ||||
\(663\) | 0.229141 | + | 2.18013i | 0.00889910 | + | 0.0846693i | ||||
\(664\) | −12.1485 | − | 8.82640i | −0.471453 | − | 0.342531i | ||||
\(665\) | 2.34496 | + | 11.7011i | 0.0909335 | + | 0.453748i | ||||
\(666\) | 1.41028 | − | 1.02462i | 0.0546471 | − | 0.0397034i | ||||
\(667\) | −1.54121 | − | 1.71169i | −0.0596761 | − | 0.0662770i | ||||
\(668\) | −2.20207 | + | 3.81410i | −0.0852006 | + | 0.147572i | ||||
\(669\) | 3.20974 | − | 0.682252i | 0.124096 | − | 0.0263774i | ||||
\(670\) | −1.29358 | + | 10.9601i | −0.0499754 | + | 0.423424i | ||||
\(671\) | −14.9333 | + | 16.5851i | −0.576494 | + | 0.640262i | ||||
\(672\) | −0.540261 | − | 1.66275i | −0.0208410 | − | 0.0641421i | ||||
\(673\) | −10.3466 | − | 7.51724i | −0.398832 | − | 0.289768i | 0.370233 | − | 0.928939i | \(-0.379278\pi\) |
−0.769065 | + | 0.639171i | \(0.779278\pi\) | |||||||
\(674\) | 16.0343 | + | 27.7722i | 0.617618 | + | 1.06975i | ||||
\(675\) | −14.7607 | + | 24.1225i | −0.568138 | + | 0.928477i | ||||
\(676\) | −4.02190 | −0.154688 | ||||||||
\(677\) | 3.20007 | + | 2.32499i | 0.122989 | + | 0.0893565i | 0.647579 | − | 0.761998i | \(-0.275782\pi\) |
−0.524590 | + | 0.851355i | \(0.675782\pi\) | |||||||
\(678\) | −1.76295 | + | 1.95795i | −0.0677055 | + | 0.0751946i | ||||
\(679\) | −11.4416 | − | 2.43199i | −0.439088 | − | 0.0933310i | ||||
\(680\) | 0.367905 | − | 1.08498i | 0.0141085 | − | 0.0416069i | ||||
\(681\) | 7.48972 | + | 8.31817i | 0.287007 | + | 0.318753i | ||||
\(682\) | −0.0838764 | + | 0.145278i | −0.00321179 | + | 0.00556299i | ||||
\(683\) | 3.59192 | − | 11.0548i | 0.137441 | − | 0.423000i | −0.858521 | − | 0.512779i | \(-0.828616\pi\) |
0.995962 | + | 0.0897791i | \(0.0286161\pi\) | |||||||
\(684\) | −0.866385 | + | 4.09837i | −0.0331271 | + | 0.156705i | ||||
\(685\) | −0.475990 | + | 0.204686i | −0.0181866 | + | 0.00782063i | ||||
\(686\) | −13.9825 | + | 6.22542i | −0.533855 | + | 0.237688i | ||||
\(687\) | 2.12847 | + | 20.2511i | 0.0812063 | + | 0.772626i | ||||
\(688\) | 0.387303 | + | 0.172438i | 0.0147658 | + | 0.00657415i | ||||
\(689\) | 20.7432 | − | 9.23549i | 0.790255 | − | 0.351844i | ||||
\(690\) | 0.791413 | + | 0.590574i | 0.0301286 | + | 0.0224828i | ||||
\(691\) | −17.3424 | + | 12.6000i | −0.659738 | + | 0.479328i | −0.866574 | − | 0.499048i | \(-0.833683\pi\) |
0.206837 | + | 0.978376i | \(0.433683\pi\) | |||||||
\(692\) | −4.87276 | + | 14.9968i | −0.185235 | + | 0.570093i | ||||
\(693\) | −1.75245 | − | 3.03533i | −0.0665699 | − | 0.115303i | ||||
\(694\) | −30.3515 | + | 6.45140i | −1.15213 | + | 0.244892i | ||||
\(695\) | 4.10687 | + | 4.67991i | 0.155783 | + | 0.177519i | ||||
\(696\) | 3.28630 | + | 10.1142i | 0.124567 | + | 0.383377i | ||||
\(697\) | 0.937217 | − | 1.04088i | 0.0354996 | − | 0.0394263i | ||||
\(698\) | −28.8744 | + | 12.8557i | −1.09291 | + | 0.486596i | ||||
\(699\) | 17.7348 | + | 30.7175i | 0.670791 | + | 1.16184i | ||||
\(700\) | 4.85924 | + | 3.72359i | 0.183662 | + | 0.140738i | ||||
\(701\) | −6.63575 | + | 11.4935i | −0.250629 | + | 0.434102i | −0.963699 | − | 0.266991i | \(-0.913971\pi\) |
0.713070 | + | 0.701092i | \(0.247304\pi\) | |||||||
\(702\) | −13.7108 | − | 9.96149i | −0.517481 | − | 0.375972i | ||||
\(703\) | −0.00877218 | − | 7.90669i | −0.000330849 | − | 0.298206i | ||||
\(704\) | 0.920481 | + | 2.83295i | 0.0346919 | + | 0.106771i | ||||
\(705\) | 1.81377 | − | 15.3674i | 0.0683105 | − | 0.578771i | ||||
\(706\) | 7.85975 | + | 8.72913i | 0.295805 | + | 0.328525i | ||||
\(707\) | −3.15119 | − | 5.45802i | −0.118513 | − | 0.205270i | ||||
\(708\) | 5.37762 | + | 5.97245i | 0.202103 | + | 0.224459i | ||||
\(709\) | 14.4385 | + | 6.42844i | 0.542249 | + | 0.241425i | 0.659536 | − | 0.751673i | \(-0.270753\pi\) |
−0.117286 | + | 0.993098i | \(0.537420\pi\) | |||||||
\(710\) | 10.7974 | − | 18.1624i | 0.405221 | − | 0.681621i | ||||
\(711\) | −9.15528 | − | 6.65170i | −0.343350 | − | 0.249458i | ||||
\(712\) | 15.1633 | + | 6.75114i | 0.568269 | + | 0.253010i | ||||
\(713\) | 0.0159112 | + | 0.00708411i | 0.000595878 | + | 0.000265302i | ||||
\(714\) | −0.724683 | − | 0.526513i | −0.0271206 | − | 0.0197042i | ||||
\(715\) | 19.4670 | + | 4.39825i | 0.728024 | + | 0.164485i | ||||
\(716\) | −8.48394 | − | 3.77729i | −0.317060 | − | 0.141164i | ||||
\(717\) | −18.3385 | − | 20.3670i | −0.684864 | − | 0.760618i | ||||
\(718\) | −11.1490 | − | 19.3106i | −0.416077 | − | 0.720667i | ||||
\(719\) | 3.50189 | + | 3.88924i | 0.130598 | + | 0.145044i | 0.804897 | − | 0.593415i | \(-0.202221\pi\) |
−0.674299 | + | 0.738459i | \(0.735554\pi\) | |||||||
\(720\) | 1.05060 | + | 1.87455i | 0.0391537 | + | 0.0698604i | ||||
\(721\) | −3.86850 | − | 11.9060i | −0.144070 | − | 0.443403i | ||||
\(722\) | 12.7448 | + | 14.0915i | 0.474312 | + | 0.524432i | ||||
\(723\) | 0.638797 | + | 0.464113i | 0.0237571 | + | 0.0172605i | ||||
\(724\) | 2.82263 | − | 4.88894i | 0.104902 | − | 0.181696i | ||||
\(725\) | −29.5578 | − | 22.6498i | −1.09775 | − | 0.841193i | ||||
\(726\) | 1.51868 | + | 2.63043i | 0.0563635 | + | 0.0976245i | ||||
\(727\) | −20.4073 | + | 9.08592i | −0.756865 | + | 0.336978i | −0.748630 | − | 0.662988i | \(-0.769288\pi\) |
−0.00823515 | + | 0.999966i | \(0.502621\pi\) | |||||||
\(728\) | −2.45481 | + | 2.72634i | −0.0909811 | + | 0.101045i | ||||
\(729\) | 9.02957 | + | 27.7902i | 0.334429 | + | 1.02927i | ||||
\(730\) | −0.127031 | − | 1.37753i | −0.00470163 | − | 0.0509848i | ||||
\(731\) | 0.212468 | − | 0.0451615i | 0.00785842 | − | 0.00167036i | ||||
\(732\) | −5.34922 | − | 9.26512i | −0.197713 | − | 0.342449i | ||||
\(733\) | −10.5976 | + | 32.6162i | −0.391433 | + | 1.20471i | 0.540272 | + | 0.841491i | \(0.318321\pi\) |
−0.931705 | + | 0.363216i | \(0.881679\pi\) | |||||||
\(734\) | 8.35382 | − | 6.06941i | 0.308345 | − | 0.224026i | ||||
\(735\) | −14.3403 | + | 10.1417i | −0.528950 | + | 0.374084i | ||||
\(736\) | 0.282530 | − | 0.125791i | 0.0104142 | − | 0.00463670i | ||||
\(737\) | −13.4306 | − | 5.97968i | −0.494722 | − | 0.220264i | ||||
\(738\) | 0.274614 | + | 2.61278i | 0.0101087 | + | 0.0961778i | ||||
\(739\) | −1.29895 | + | 0.578328i | −0.0477825 | + | 0.0212741i | −0.430489 | − | 0.902596i | \(-0.641659\pi\) |
0.382706 | + | 0.923870i | \(0.374992\pi\) | |||||||
\(740\) | −2.67533 | − | 3.04863i | −0.0983472 | − | 0.112070i | ||||
\(741\) | −17.7307 | + | 5.78281i | −0.651354 | + | 0.212437i | ||||
\(742\) | −2.86715 | + | 8.82418i | −0.105256 | + | 0.323946i | ||||
\(743\) | −21.7657 | + | 37.6993i | −0.798506 | + | 1.38305i | 0.122083 | + | 0.992520i | \(0.461042\pi\) |
−0.920589 | + | 0.390533i | \(0.872291\pi\) | |||||||
\(744\) | −0.0538091 | − | 0.0597610i | −0.00197274 | − | 0.00219095i | ||||
\(745\) | 6.10084 | + | 19.6253i | 0.223517 | + | 0.719015i | ||||
\(746\) | 3.84445 | + | 0.817162i | 0.140755 | + | 0.0299184i | ||||
\(747\) | 9.65616 | − | 10.7242i | 0.353300 | − | 0.392380i | ||||
\(748\) | 1.23469 | + | 0.897057i | 0.0451449 | + | 0.0327997i | ||||
\(749\) | −19.9615 | −0.729378 | ||||||||
\(750\) | 14.3253 | + | 7.04701i | 0.523085 | + | 0.257321i | ||||
\(751\) | 2.24922 | + | 3.89577i | 0.0820753 | + | 0.142159i | 0.904141 | − | 0.427234i | \(-0.140512\pi\) |
−0.822066 | + | 0.569392i | \(0.807179\pi\) | |||||||
\(752\) | −3.92076 | − | 2.84860i | −0.142975 | − | 0.103878i | ||||
\(753\) | −0.786990 | − | 2.42211i | −0.0286795 | − | 0.0882664i | ||||
\(754\) | 14.9321 | − | 16.5838i | 0.543795 | − | 0.603945i | ||||
\(755\) | 17.4922 | − | 18.9353i | 0.636605 | − | 0.689127i | ||||
\(756\) | 6.77379 | − | 1.43981i | 0.246360 | − | 0.0523655i | ||||
\(757\) | −19.5187 | + | 33.8073i | −0.709418 | + | 1.22875i | 0.255656 | + | 0.966768i | \(0.417709\pi\) |
−0.965073 | + | 0.261980i | \(0.915625\pi\) | |||||||
\(758\) | −22.2096 | − | 24.6663i | −0.806689 | − | 0.895919i | ||||
\(759\) | −1.06422 | + | 0.773203i | −0.0386288 | + | 0.0280655i | ||||
\(760\) | 9.68087 | + | 1.13171i | 0.351162 | + | 0.0410516i | ||||
\(761\) | 23.6498 | + | 17.1826i | 0.857304 | + | 0.622868i | 0.927150 | − | 0.374690i | \(-0.122251\pi\) |
−0.0698459 | + | 0.997558i | \(0.522251\pi\) | |||||||
\(762\) | 0.236993 | + | 2.25484i | 0.00858535 | + | 0.0816842i | ||||
\(763\) | 1.65648 | + | 15.7604i | 0.0599688 | + | 0.570565i | ||||
\(764\) | −1.86059 | + | 17.7024i | −0.0673139 | + | 0.640449i | ||||
\(765\) | 1.00000 | + | 0.460612i | 0.0361552 | + | 0.0166535i | ||||
\(766\) | −29.3491 | − | 13.0671i | −1.06043 | − | 0.472132i | ||||
\(767\) | 5.21130 | − | 16.0387i | 0.188169 | − | 0.579125i | ||||
\(768\) | −1.42793 | −0.0515261 | ||||||||
\(769\) | 9.87665 | − | 2.09935i | 0.356161 | − | 0.0757044i | −0.0263565 | − | 0.999653i | \(-0.508390\pi\) |
0.382518 | + | 0.923948i | \(0.375057\pi\) | |||||||
\(770\) | −6.65829 | + | 4.70887i | −0.239948 | + | 0.169696i | ||||
\(771\) | −0.0237813 | − | 0.0731915i | −0.000856464 | − | 0.00263593i | ||||
\(772\) | 0.474493 | + | 1.46034i | 0.0170774 | + | 0.0525588i | ||||
\(773\) | −2.37323 | + | 22.5798i | −0.0853591 | + | 0.812138i | 0.865165 | + | 0.501487i | \(0.167214\pi\) |
−0.950524 | + | 0.310650i | \(0.899453\pi\) | |||||||
\(774\) | −0.203713 | + | 0.352842i | −0.00732232 | + | 0.0126826i | ||||
\(775\) | 0.273846 | + | 0.0655556i | 0.00983684 | + | 0.00235483i | ||||
\(776\) | −4.77681 | + | 8.27368i | −0.171478 | + | 0.297008i | ||||
\(777\) | −2.89714 | + | 1.28989i | −0.103934 | + | 0.0462745i | ||||
\(778\) | 6.39513 | + | 19.6822i | 0.229277 | + | 0.705641i | ||||
\(779\) | 10.3263 | + | 5.94664i | 0.369979 | + | 0.213060i | ||||
\(780\) | −4.88896 | + | 8.22371i | −0.175053 | + | 0.294456i | ||||
\(781\) | 18.8342 | + | 20.9175i | 0.673942 | + | 0.748488i | ||||
\(782\) | 0.0792271 | − | 0.137225i | 0.00283315 | − | 0.00490717i | ||||
\(783\) | −41.2036 | + | 8.75810i | −1.47250 | + | 0.312989i | ||||
\(784\) | 0.575002 | + | 5.47078i | 0.0205358 | + | 0.195385i | ||||
\(785\) | −6.16290 | − | 19.8249i | −0.219963 | − | 0.707582i | ||||
\(786\) | −3.11223 | − | 2.26117i | −0.111010 | − | 0.0806532i | ||||
\(787\) | −16.6122 | + | 12.0695i | −0.592160 | + | 0.430230i | −0.843088 | − | 0.537776i | \(-0.819265\pi\) |
0.250927 | + | 0.968006i | \(0.419265\pi\) | |||||||
\(788\) | 22.8673 | + | 10.1812i | 0.814614 | + | 0.362689i | ||||
\(789\) | −3.39738 | + | 32.3239i | −0.120950 | + | 1.15076i | ||||
\(790\) | −13.4556 | + | 22.6336i | −0.478728 | + | 0.805267i | ||||
\(791\) | −1.82765 | + | 1.32786i | −0.0649836 | + | 0.0472134i | ||||
\(792\) | −2.80005 | + | 0.595168i | −0.0994953 | + | 0.0211484i | ||||
\(793\) | −11.2247 | + | 19.4418i | −0.398601 | + | 0.690397i | ||||
\(794\) | −3.15194 | + | 0.669965i | −0.111858 | + | 0.0237762i | ||||
\(795\) | −2.83611 | + | 24.0294i | −0.100587 | + | 0.852235i | ||||
\(796\) | 5.05474 | + | 1.07442i | 0.179160 | + | 0.0380817i | ||||
\(797\) | −2.37631 | − | 7.31353i | −0.0841732 | − | 0.259058i | 0.900108 | − | 0.435667i | \(-0.143487\pi\) |
−0.984281 | + | 0.176608i | \(0.943487\pi\) | |||||||
\(798\) | 3.09192 | − | 6.96534i | 0.109453 | − | 0.246570i | ||||
\(799\) | −2.48303 | −0.0878432 | ||||||||
\(800\) | 4.11878 | − | 2.83472i | 0.145621 | − | 0.100222i | ||||
\(801\) | −7.97558 | + | 13.8141i | −0.281803 | + | 0.488097i | ||||
\(802\) | −0.187132 | + | 1.78044i | −0.00660785 | + | 0.0628695i | ||||
\(803\) | 1.80257 | + | 0.383149i | 0.0636114 | + | 0.0135210i | ||||
\(804\) | 4.71575 | − | 5.23737i | 0.166312 | − | 0.184708i | ||||
\(805\) | 0.558481 | + | 0.636407i | 0.0196839 | + | 0.0224304i | ||||
\(806\) | −0.0521449 | + | 0.160485i | −0.00183673 | + | 0.00565286i | ||||
\(807\) | −4.48980 | − | 7.77656i | −0.158048 | − | 0.273748i | ||||
\(808\) | −5.03495 | + | 1.07021i | −0.177129 | + | 0.0376499i | ||||
\(809\) | 43.3169 | − | 31.4716i | 1.52294 | − | 1.10648i | 0.562934 | − | 0.826502i | \(-0.309672\pi\) |
0.960006 | − | 0.279979i | \(-0.0903276\pi\) | |||||||
\(810\) | 10.6683 | − | 4.58758i | 0.374846 | − | 0.161191i | ||||
\(811\) | −1.72748 | + | 16.4359i | −0.0606601 | + | 0.577142i | 0.921405 | + | 0.388603i | \(0.127042\pi\) |
−0.982066 | + | 0.188540i | \(0.939625\pi\) | |||||||
\(812\) | 0.953160 | + | 9.06871i | 0.0334494 | + | 0.318249i | ||||
\(813\) | 12.3093 | + | 5.48044i | 0.431705 | + | 0.192207i | ||||
\(814\) | 4.93606 | − | 2.19768i | 0.173009 | − | 0.0770286i | ||||
\(815\) | 3.15481 | − | 26.7296i | 0.110508 | − | 0.936296i | ||||
\(816\) | −0.591880 | + | 0.430026i | −0.0207200 | + | 0.0150539i | ||||
\(817\) | 0.753514 | + | 1.68738i | 0.0263621 | + | 0.0590340i | ||||
\(818\) | 38.9636 | 1.36233 | ||||||||
\(819\) | −2.35909 | − | 2.62004i | −0.0824334 | − | 0.0915516i | ||||
\(820\) | 5.99503 | − | 1.19452i | 0.209355 | − | 0.0417144i | ||||
\(821\) | −20.2984 | + | 22.5436i | −0.708419 | + | 0.786779i | −0.984693 | − | 0.174300i | \(-0.944234\pi\) |
0.276274 | + | 0.961079i | \(0.410900\pi\) | |||||||
\(822\) | 0.323645 | + | 0.0687929i | 0.0112884 | + | 0.00239943i | ||||
\(823\) | −1.01046 | + | 9.61391i | −0.0352225 | + | 0.335120i | 0.962694 | + | 0.270594i | \(0.0872201\pi\) |
−0.997916 | + | 0.0645257i | \(0.979447\pi\) | |||||||
\(824\) | −10.2246 | −0.356191 | ||||||||
\(825\) | −14.6293 | + | 15.4362i | −0.509327 | + | 0.537420i | ||||
\(826\) | 3.44553 | + | 5.96783i | 0.119885 | + | 0.207647i | ||||
\(827\) | 2.92810 | − | 27.8590i | 0.101820 | − | 0.968753i | −0.817683 | − | 0.575669i | \(-0.804742\pi\) |
0.919503 | − | 0.393084i | \(-0.128592\pi\) | |||||||
\(828\) | 0.0918429 | + | 0.282663i | 0.00319176 | + | 0.00982323i | ||||
\(829\) | −5.91878 | − | 18.2161i | −0.205568 | − | 0.632673i | −0.999690 | − | 0.0249139i | \(-0.992069\pi\) |
0.794122 | − | 0.607759i | \(-0.207931\pi\) | |||||||
\(830\) | −26.9108 | − | 20.0815i | −0.934086 | − | 0.697041i | ||||
\(831\) | 13.4044 | + | 14.8871i | 0.464994 | + | 0.516428i | ||||
\(832\) | 1.49817 | + | 2.59491i | 0.0519398 | + | 0.0899624i | ||||
\(833\) | 1.88588 | + | 2.09448i | 0.0653419 | + | 0.0725695i | ||||
\(834\) | −0.415617 | − | 3.95433i | −0.0143916 | − | 0.136927i | ||||
\(835\) | −5.03243 | + | 8.46504i | −0.174154 | + | 0.292945i | ||||
\(836\) | −5.26792 | + | 11.8674i | −0.182195 | + | 0.410441i | ||||
\(837\) | 0.257696 | − | 0.187227i | 0.00890729 | − | 0.00647153i | ||||
\(838\) | 2.02237 | + | 19.2415i | 0.0698615 | + | 0.664688i | ||||
\(839\) | 38.1713 | − | 16.9949i | 1.31782 | − | 0.586731i | 0.377180 | − | 0.926140i | \(-0.376894\pi\) |
0.940639 | + | 0.339409i | \(0.110227\pi\) | |||||||
\(840\) | −1.16051 | − | 3.73314i | −0.0400413 | − | 0.128806i | ||||
\(841\) | −2.76656 | − | 26.3220i | −0.0953985 | − | 0.907656i | ||||
\(842\) | 28.9405 | − | 6.15149i | 0.997355 | − | 0.211994i | ||||
\(843\) | 4.20702 | 0.144897 | ||||||||
\(844\) | 4.57452 | − | 14.0789i | 0.157461 | − | 0.484616i | ||||
\(845\) | −8.99251 | − | 0.114783i | −0.309352 | − | 0.00394866i | ||||
\(846\) | 3.11639 | − | 3.46110i | 0.107144 | − | 0.118995i | ||||
\(847\) | 0.804795 | + | 2.47691i | 0.0276531 | + | 0.0851075i | ||||
\(848\) | 6.13073 | + | 4.45423i | 0.210530 | + | 0.152959i | ||||
\(849\) | 3.58293 | + | 6.20581i | 0.122966 | + | 0.212983i | ||||
\(850\) | 0.853557 | − | 2.41538i | 0.0292768 | − | 0.0828469i | ||||
\(851\) | −0.280494 | − | 0.485829i | −0.00961519 | − | 0.0166540i | ||||
\(852\) | −12.3266 | + | 5.48814i | −0.422301 | + | 0.188021i | ||||
\(853\) | −6.26406 | − | 1.33147i | −0.214477 | − | 0.0455886i | 0.0994197 | − | 0.995046i | \(-0.468301\pi\) |
−0.313897 | + | 0.949457i | \(0.601635\pi\) | |||||||
\(854\) | −2.83471 | − | 8.72435i | −0.0970019 | − | 0.298541i | ||||
\(855\) | −2.05410 | + | 9.13877i | −0.0702489 | + | 0.312539i | ||||
\(856\) | −5.03805 | + | 15.5055i | −0.172197 | + | 0.529967i | ||||
\(857\) | 23.3278 | − | 40.4049i | 0.796862 | − | 1.38021i | −0.124788 | − | 0.992183i | \(-0.539825\pi\) |
0.921650 | − | 0.388022i | \(-0.126842\pi\) | |||||||
\(858\) | −8.52792 | − | 9.47122i | −0.291138 | − | 0.323342i | ||||
\(859\) | −8.86438 | − | 3.94667i | −0.302449 | − | 0.134659i | 0.249901 | − | 0.968271i | \(-0.419602\pi\) |
−0.552350 | + | 0.833613i | \(0.686269\pi\) | |||||||
\(860\) | 0.861044 | + | 0.396606i | 0.0293614 | + | 0.0135242i | ||||
\(861\) | 0.499593 | − | 4.75331i | 0.0170261 | − | 0.161992i | ||||
\(862\) | 15.4759 | − | 11.2439i | 0.527110 | − | 0.382968i | ||||
\(863\) | −18.1917 | + | 13.2171i | −0.619254 | + | 0.449915i | −0.852661 | − | 0.522465i | \(-0.825013\pi\) |
0.233407 | + | 0.972379i | \(0.425013\pi\) | |||||||
\(864\) | 0.591219 | − | 5.62507i | 0.0201137 | − | 0.191369i | ||||
\(865\) | −11.3229 | + | 33.3921i | −0.384992 | + | 1.13537i | ||||
\(866\) | 1.02879 | − | 0.747459i | 0.0349597 | − | 0.0253997i | ||||
\(867\) | 7.38551 | − | 22.7303i | 0.250825 | − | 0.771960i | ||||
\(868\) | −0.0344763 | − | 0.0597148i | −0.00117020 | − | 0.00202685i | ||||
\(869\) | −23.4709 | − | 26.0670i | −0.796195 | − | 0.884264i | ||||
\(870\) | 7.05914 | + | 22.7080i | 0.239327 | + | 0.769872i | ||||
\(871\) | −14.4653 | − | 3.07470i | −0.490140 | − | 0.104182i | ||||
\(872\) | 12.6603 | + | 2.69103i | 0.428731 | + | 0.0911296i | ||||
\(873\) | −7.42769 | − | 5.39653i | −0.251389 | − | 0.182645i | ||||
\(874\) | 1.28255 | + | 0.415153i | 0.0433829 | + | 0.0140428i | ||||
\(875\) | 10.7584 | + | 8.46419i | 0.363701 | + | 0.286142i | ||||
\(876\) | −0.441706 | + | 0.765057i | −0.0149239 | + | 0.0258489i | ||||
\(877\) | −36.2987 | + | 16.1612i | −1.22572 | + | 0.545726i | −0.914490 | − | 0.404608i | \(-0.867408\pi\) |
−0.311231 | + | 0.950334i | \(0.600741\pi\) | |||||||
\(878\) | −20.4360 | + | 22.6964i | −0.689681 | + | 0.765968i | ||||
\(879\) | −7.85198 | − | 1.66899i | −0.264841 | − | 0.0562936i | ||||
\(880\) | 1.97724 | + | 6.36042i | 0.0666528 | + | 0.214410i | ||||
\(881\) | 15.9626 | − | 49.1278i | 0.537794 | − | 1.65516i | −0.199740 | − | 0.979849i | \(-0.564010\pi\) |
0.737534 | − | 0.675310i | \(-0.235990\pi\) | |||||||
\(882\) | −5.28643 | −0.178003 | ||||||||
\(883\) | −21.0504 | + | 4.47441i | −0.708404 | + | 0.150576i | −0.548003 | − | 0.836476i | \(-0.684612\pi\) |
−0.160400 | + | 0.987052i | \(0.551279\pi\) | |||||||
\(884\) | 1.40246 | + | 0.624416i | 0.0471699 | + | 0.0210014i | ||||
\(885\) | 11.8533 | + | 13.5072i | 0.398444 | + | 0.454039i | ||||
\(886\) | 1.41163 | + | 1.02561i | 0.0474247 | + | 0.0344561i | ||||
\(887\) | 30.7090 | + | 13.6725i | 1.03111 | + | 0.459078i | 0.851331 | − | 0.524629i | \(-0.175796\pi\) |
0.179776 | + | 0.983708i | \(0.442463\pi\) | |||||||
\(888\) | 0.270745 | + | 2.57596i | 0.00908560 | + | 0.0864437i | ||||
\(889\) | −0.203209 | + | 1.93340i | −0.00681540 | + | 0.0648442i | ||||
\(890\) | 33.7108 | + | 15.5275i | 1.12999 | + | 0.520484i | ||||
\(891\) | 1.61704 | + | 15.3851i | 0.0541729 | + | 0.515421i | ||||
\(892\) | 0.710135 | − | 2.18557i | 0.0237771 | − | 0.0731783i | ||||
\(893\) | −4.41498 | − | 20.6581i | −0.147742 | − | 0.691298i | ||||
\(894\) | 4.05558 | − | 12.4818i | 0.135639 | − | 0.417453i | ||||
\(895\) | −18.8613 | − | 8.68773i | −0.630465 | − | 0.290399i | ||||
\(896\) | −1.19762 | − | 0.254562i | −0.0400096 | − | 0.00850430i | ||||
\(897\) | −0.885412 | + | 0.983350i | −0.0295630 | + | 0.0328331i | ||||
\(898\) | −5.25140 | + | 2.33808i | −0.175242 | + | 0.0780226i | ||||
\(899\) | 0.209713 | + | 0.363233i | 0.00699431 | + | 0.0121145i | ||||
\(900\) | 2.29553 | + | 4.22127i | 0.0765176 | + | 0.140709i | ||||
\(901\) | 3.88260 | 0.129348 | ||||||||
\(902\) | −0.851192 | + | 8.09855i | −0.0283416 | + | 0.269652i | ||||
\(903\) | 0.495967 | − | 0.550828i | 0.0165048 | − | 0.0183304i | ||||
\(904\) | 0.570168 | + | 1.75480i | 0.0189635 | + | 0.0583637i | ||||
\(905\) | 6.45061 | − | 10.8506i | 0.214426 | − | 0.360685i | ||||
\(906\) | −16.1021 | + | 3.42260i | −0.534955 | + | 0.113708i | ||||
\(907\) | 29.6839 | − | 51.4141i | 0.985638 | − | 1.70718i | 0.346574 | − | 0.938023i | \(-0.387345\pi\) |
0.639064 | − | 0.769153i | \(-0.279322\pi\) | |||||||
\(908\) | 7.66746 | − | 1.62977i | 0.254454 | − | 0.0540858i | ||||
\(909\) | −0.517075 | − | 4.91964i | −0.0171503 | − | 0.163174i | ||||
\(910\) | −5.56647 | + | 6.02572i | −0.184527 | + | 0.199751i | ||||
\(911\) | 22.8828 | + | 16.6253i | 0.758141 | + | 0.550821i | 0.898339 | − | 0.439302i | \(-0.144774\pi\) |
−0.140199 | + | 0.990123i | \(0.544774\pi\) | |||||||
\(912\) | −4.63011 | − | 4.15968i | −0.153318 | − | 0.137741i | ||||
\(913\) | 36.1872 | − | 26.2916i | 1.19762 | − | 0.870124i | ||||
\(914\) | 6.61835 | − | 2.94668i | 0.218915 | − | 0.0974675i | ||||
\(915\) | −11.6958 | − | 20.8684i | −0.386652 | − | 0.689888i | ||||
\(916\) | 13.0274 | + | 5.80015i | 0.430436 | + | 0.191642i | ||||
\(917\) | −2.20715 | − | 2.45129i | −0.0728864 | − | 0.0809486i | ||||
\(918\) | −1.44895 | − | 2.50965i | −0.0478224 | − | 0.0828307i | ||||
\(919\) | 9.23146 | − | 28.4115i | 0.304518 | − | 0.937209i | −0.675339 | − | 0.737508i | \(-0.736003\pi\) |
0.979857 | − | 0.199702i | \(-0.0639974\pi\) | |||||||
\(920\) | 0.635295 | − | 0.273190i | 0.0209451 | − | 0.00900681i | ||||
\(921\) | 24.0676 | − | 26.7298i | 0.793055 | − | 0.880777i | ||||
\(922\) | −1.81973 | + | 2.02102i | −0.0599296 | + | 0.0665586i | ||||
\(923\) | 22.9063 | + | 16.6424i | 0.753969 | + | 0.547791i | ||||
\(924\) | 5.20780 | 0.171324 | ||||||||
\(925\) | −5.89473 | − | 6.89273i | −0.193818 | − | 0.226632i | ||||
\(926\) | 1.02573 | − | 1.77662i | 0.0337077 | − | 0.0583834i | ||||
\(927\) | 1.02709 | − | 9.77212i | 0.0337341 | − | 0.320959i | ||||
\(928\) | 7.28487 | + | 1.54845i | 0.239138 | + | 0.0508303i | ||||
\(929\) | 50.2283 | + | 10.6764i | 1.64794 | + | 0.350280i | 0.936010 | − | 0.351974i | \(-0.114489\pi\) |
0.711927 | + | 0.702253i | \(0.247823\pi\) | |||||||
\(930\) | −0.118605 | − | 0.135155i | −0.00388922 | − | 0.00443189i | ||||
\(931\) | −14.0723 | + | 19.4142i | −0.461202 | + | 0.636273i | ||||
\(932\) | 24.8398 | 0.813655 | ||||||||
\(933\) | −17.5573 | − | 19.4993i | −0.574799 | − | 0.638379i | ||||
\(934\) | 1.79194 | + | 17.0491i | 0.0586339 | + | 0.557864i | ||||
\(935\) | 2.73503 | + | 2.04096i | 0.0894451 | + | 0.0667464i | ||||
\(936\) | −2.63057 | + | 1.17121i | −0.0859830 | + | 0.0382821i | ||||
\(937\) | −13.6220 | − | 6.06489i | −0.445010 | − | 0.198131i | 0.171983 | − | 0.985100i | \(-0.444983\pi\) |
−0.616993 | + | 0.786969i | \(0.711649\pi\) | |||||||
\(938\) | 4.88882 | − | 3.55193i | 0.159626 | − | 0.115975i | ||||
\(939\) | −30.6194 | − | 22.2463i | −0.999227 | − | 0.725981i | ||||
\(940\) | −8.68507 | − | 6.48104i | −0.283276 | − | 0.211388i | ||||
\(941\) | −30.0801 | − | 13.3925i | −0.980582 | − | 0.436583i | −0.147095 | − | 0.989122i | \(-0.546992\pi\) |
−0.833487 | + | 0.552539i | \(0.813659\pi\) | |||||||
\(942\) | −4.09683 | + | 12.6088i | −0.133482 | + | 0.410815i | ||||
\(943\) | 0.845464 | 0.0275321 | ||||||||
\(944\) | 5.50524 | − | 1.17017i | 0.179180 | − | 0.0380859i | ||||
\(945\) | 15.1865 | − | 3.02594i | 0.494017 | − | 0.0984338i | ||||
\(946\) | −0.845015 | + | 0.938484i | −0.0274738 | + | 0.0305128i | ||||
\(947\) | −32.6538 | − | 6.94077i | −1.06111 | − | 0.225545i | −0.355882 | − | 0.934531i | \(-0.615820\pi\) |
−0.705223 | + | 0.708986i | \(0.749153\pi\) | |||||||
\(948\) | 15.3611 | − | 6.83922i | 0.498906 | − | 0.222127i | ||||
\(949\) | 1.85374 | 0.0601749 | ||||||||
\(950\) | 21.6130 | + | 2.80667i | 0.701219 | + | 0.0910604i | ||||
\(951\) | −46.0959 | −1.49476 | ||||||||
\(952\) | −0.573077 | + | 0.255150i | −0.0185735 | + | 0.00826947i | ||||
\(953\) | −48.5450 | − | 10.3186i | −1.57253 | − | 0.334251i | −0.662585 | − | 0.748986i | \(-0.730541\pi\) |
−0.909942 | + | 0.414735i | \(0.863874\pi\) | |||||||
\(954\) | −4.87297 | + | 5.41198i | −0.157768 | + | 0.175219i | ||||
\(955\) | −4.66529 | + | 39.5274i | −0.150965 | + | 1.27908i | ||||
\(956\) | −18.7737 | + | 3.99047i | −0.607185 | + | 0.129061i | ||||
\(957\) | −31.6780 | −1.02400 | ||||||||
\(958\) | −3.14964 | + | 9.69360i | −0.101760 | + | 0.313186i | ||||
\(959\) | 0.259180 | + | 0.115394i | 0.00836935 | + | 0.00372627i | ||||
\(960\) | −3.19269 | − | 0.0407525i | −0.103044 | − | 0.00131528i | ||||
\(961\) | 25.0770 | + | 18.2195i | 0.808934 | + | 0.587725i | ||||
\(962\) | 4.39712 | − | 3.19469i | 0.141769 | − | 0.103001i | ||||
\(963\) | −14.3132 | − | 6.37267i | −0.461238 | − | 0.205356i | ||||
\(964\) | 0.505159 | − | 0.224911i | 0.0162701 | − | 0.00724390i | ||||
\(965\) | 1.01923 | + | 3.27869i | 0.0328103 | + | 0.105545i | ||||
\(966\) | −0.0565185 | − | 0.537738i | −0.00181845 | − | 0.0173014i | ||||
\(967\) | −17.3681 | − | 19.2893i | −0.558521 | − | 0.620301i | 0.396070 | − | 0.918220i | \(-0.370374\pi\) |
−0.954591 | + | 0.297920i | \(0.903707\pi\) | |||||||
\(968\) | 2.12711 | 0.0683678 | ||||||||
\(969\) | −3.17189 | − | 0.329821i | −0.101896 | − | 0.0105954i | ||||
\(970\) | −10.9165 | + | 18.3627i | −0.350509 | + | 0.589590i | ||||
\(971\) | 8.77110 | + | 1.86435i | 0.281478 | + | 0.0598300i | 0.346487 | − | 0.938055i | \(-0.387374\pi\) |
−0.0650094 | + | 0.997885i | \(0.520708\pi\) | |||||||
\(972\) | 9.34356 | + | 1.98604i | 0.299695 | + | 0.0637021i | ||||
\(973\) | 0.356369 | − | 3.39063i | 0.0114247 | − | 0.108698i | ||||
\(974\) | −6.81693 | + | 11.8073i | −0.218428 | + | 0.378329i | ||||
\(975\) | −11.1659 | + | 18.2477i | −0.357593 | + | 0.584395i | ||||
\(976\) | −7.49226 | −0.239821 | ||||||||
\(977\) | 18.9353 | + | 13.7573i | 0.605792 | + | 0.440134i | 0.847930 | − | 0.530108i | \(-0.177849\pi\) |
−0.242138 | + | 0.970242i | \(0.577849\pi\) | |||||||
\(978\) | −11.5008 | + | 12.7730i | −0.367756 | + | 0.408435i | ||||
\(979\) | −33.0832 | + | 36.7426i | −1.05734 | + | 1.17430i | ||||
\(980\) | 1.12950 | + | 12.2484i | 0.0360807 | + | 0.391262i | ||||
\(981\) | −3.84370 | + | 11.8297i | −0.122720 | + | 0.377693i | ||||
\(982\) | −7.15425 | − | 12.3915i | −0.228301 | − | 0.395429i | ||||
\(983\) | 2.91311 | + | 3.23534i | 0.0929138 | + | 0.103191i | 0.787808 | − | 0.615920i | \(-0.211216\pi\) |
−0.694895 | + | 0.719112i | \(0.744549\pi\) | |||||||
\(984\) | −3.56614 | − | 1.58775i | −0.113684 | − | 0.0506155i | ||||
\(985\) | 50.8381 | + | 23.4166i | 1.61984 | + | 0.746114i | ||||
\(986\) | 3.48591 | − | 1.55203i | 0.111014 | − | 0.0494266i | ||||
\(987\) | −6.85475 | + | 4.98027i | −0.218189 | + | 0.158524i | ||||
\(988\) | −2.70131 | + | 12.7784i | −0.0859402 | + | 0.406534i | ||||
\(989\) | 0.106075 | + | 0.0770680i | 0.00337299 | + | 0.00245062i | ||||
\(990\) | −6.27757 | + | 1.25082i | −0.199514 | + | 0.0397536i | ||||
\(991\) | −3.47070 | − | 33.0215i | −0.110251 | − | 1.04896i | −0.900106 | − | 0.435671i | \(-0.856511\pi\) |
0.789856 | − | 0.613293i | \(-0.210155\pi\) | |||||||
\(992\) | −0.0550860 | + | 0.0117089i | −0.00174898 | + | 0.000371758i | ||||
\(993\) | 9.96330 | − | 17.2569i | 0.316176 | − | 0.547633i | ||||
\(994\) | −11.3168 | + | 2.40546i | −0.358946 | + | 0.0762964i | ||||
\(995\) | 11.2712 | + | 2.54654i | 0.357320 | + | 0.0807306i | ||||
\(996\) | 6.62605 | + | 20.3929i | 0.209955 | + | 0.646174i | ||||
\(997\) | 29.0664 | − | 32.2815i | 0.920542 | − | 1.02237i | −0.0791326 | − | 0.996864i | \(-0.525215\pi\) |
0.999675 | − | 0.0255016i | \(-0.00811829\pi\) | |||||||
\(998\) | 2.24392 | − | 21.3495i | 0.0710301 | − | 0.675806i | ||||
\(999\) | −10.2596 | −0.324600 |
(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 | 950.2.r.a.391.18 | yes | 200 | |
19.7 | even | 3 | inner | 950.2.r.a.691.8 | yes | 200 | |
25.11 | even | 5 | inner | 950.2.r.a.11.8 | ✓ | 200 | |
475.311 | even | 15 | inner | 950.2.r.a.311.18 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.r.a.11.8 | ✓ | 200 | 25.11 | even | 5 | inner | |
950.2.r.a.311.18 | yes | 200 | 475.311 | even | 15 | inner | |
950.2.r.a.391.18 | yes | 200 | 1.1 | even | 1 | trivial | |
950.2.r.a.691.8 | yes | 200 | 19.7 | even | 3 | inner |