Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(20,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.be (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.21 | ||
Character | \(\chi\) | \(=\) | 189.41 |
Dual form | 189.2.be.a.83.21 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.21529 | − | 0.390615i | 1.56644 | − | 0.276206i | 0.677955 | − | 0.735103i | \(-0.262866\pi\) |
0.888489 | + | 0.458897i | \(0.151755\pi\) | |||||||
\(3\) | −0.0610697 | − | 1.73097i | −0.0352586 | − | 0.999378i | ||||
\(4\) | 2.87553 | − | 1.04661i | 1.43777 | − | 0.523304i | ||||
\(5\) | 0.189389 | + | 0.158916i | 0.0846974 | + | 0.0710695i | 0.684153 | − | 0.729338i | \(-0.260172\pi\) |
−0.599456 | + | 0.800408i | \(0.704616\pi\) | |||||||
\(6\) | −0.811431 | − | 3.81075i | −0.331265 | − | 1.55573i | ||||
\(7\) | −2.13360 | + | 1.56453i | −0.806424 | + | 0.591338i | ||||
\(8\) | 2.06513 | − | 1.19230i | 0.730132 | − | 0.421542i | ||||
\(9\) | −2.99254 | + | 0.211420i | −0.997514 | + | 0.0704734i | ||||
\(10\) | 0.481626 | + | 0.278067i | 0.152304 | + | 0.0879325i | ||||
\(11\) | 1.62459 | + | 1.93611i | 0.489833 | + | 0.583760i | 0.953175 | − | 0.302419i | \(-0.0977943\pi\) |
−0.463342 | + | 0.886180i | \(0.653350\pi\) | |||||||
\(12\) | −1.98726 | − | 4.91355i | −0.573672 | − | 1.41842i | ||||
\(13\) | 1.75400 | + | 0.309278i | 0.486473 | + | 0.0857783i | 0.411505 | − | 0.911408i | \(-0.365003\pi\) |
0.0749681 | + | 0.997186i | \(0.476114\pi\) | |||||||
\(14\) | −4.11540 | + | 4.29930i | −1.09989 | + | 1.14904i | ||||
\(15\) | 0.263514 | − | 0.337533i | 0.0680390 | − | 0.0871505i | ||||
\(16\) | −0.579195 | + | 0.486002i | −0.144799 | + | 0.121501i | ||||
\(17\) | −0.762476 | + | 1.32065i | −0.184928 | + | 0.320304i | −0.943552 | − | 0.331224i | \(-0.892538\pi\) |
0.758625 | + | 0.651528i | \(0.225872\pi\) | |||||||
\(18\) | −6.54675 | + | 1.63729i | −1.54308 | + | 0.385912i | ||||
\(19\) | 2.19435 | − | 1.26691i | 0.503419 | − | 0.290649i | −0.226705 | − | 0.973963i | \(-0.572795\pi\) |
0.730124 | + | 0.683314i | \(0.239462\pi\) | |||||||
\(20\) | 0.710917 | + | 0.258753i | 0.158966 | + | 0.0578589i | ||||
\(21\) | 2.83846 | + | 3.59765i | 0.619404 | + | 0.785073i | ||||
\(22\) | 4.35521 | + | 3.65446i | 0.928535 | + | 0.779133i | ||||
\(23\) | −1.25596 | − | 3.45073i | −0.261886 | − | 0.719526i | −0.999040 | − | 0.0438016i | \(-0.986053\pi\) |
0.737154 | − | 0.675725i | \(-0.236169\pi\) | |||||||
\(24\) | −2.18996 | − | 3.50186i | −0.447023 | − | 0.714815i | ||||
\(25\) | −0.857627 | − | 4.86384i | −0.171525 | − | 0.972769i | ||||
\(26\) | 4.00643 | 0.785725 | ||||||||
\(27\) | 0.548716 | + | 5.16710i | 0.105600 | + | 0.994409i | ||||
\(28\) | −4.49777 | + | 6.73190i | −0.849999 | + | 1.27221i | ||||
\(29\) | 3.87652 | − | 0.683536i | 0.719852 | − | 0.126929i | 0.198291 | − | 0.980143i | \(-0.436461\pi\) |
0.521561 | + | 0.853214i | \(0.325350\pi\) | |||||||
\(30\) | 0.451914 | − | 0.850664i | 0.0825078 | − | 0.155309i | ||||
\(31\) | −1.99061 | − | 5.46915i | −0.357523 | − | 0.982288i | −0.979886 | − | 0.199558i | \(-0.936049\pi\) |
0.622362 | − | 0.782729i | \(-0.286173\pi\) | |||||||
\(32\) | −4.15883 | + | 4.95630i | −0.735184 | + | 0.876158i | ||||
\(33\) | 3.25215 | − | 2.93036i | 0.566127 | − | 0.510111i | ||||
\(34\) | −1.17324 | + | 3.22345i | −0.201209 | + | 0.552817i | ||||
\(35\) | −0.652710 | − | 0.0427578i | −0.110328 | − | 0.00722739i | ||||
\(36\) | −8.38387 | + | 3.73996i | −1.39731 | + | 0.623327i | ||||
\(37\) | −2.37916 | + | 4.12083i | −0.391132 | + | 0.677460i | −0.992599 | − | 0.121437i | \(-0.961250\pi\) |
0.601467 | + | 0.798897i | \(0.294583\pi\) | |||||||
\(38\) | 4.36625 | − | 3.66372i | 0.708299 | − | 0.594334i | ||||
\(39\) | 0.428236 | − | 3.05502i | 0.0685726 | − | 0.489195i | ||||
\(40\) | 0.580588 | + | 0.102373i | 0.0917990 | + | 0.0161866i | ||||
\(41\) | −1.68035 | + | 9.52973i | −0.262426 | + | 1.48829i | 0.513838 | + | 0.857887i | \(0.328223\pi\) |
−0.776265 | + | 0.630407i | \(0.782888\pi\) | |||||||
\(42\) | 7.69331 | + | 6.86109i | 1.18710 | + | 1.05869i | ||||
\(43\) | 0.286565 | − | 0.240457i | 0.0437008 | − | 0.0366693i | −0.620676 | − | 0.784067i | \(-0.713142\pi\) |
0.664376 | + | 0.747398i | \(0.268697\pi\) | |||||||
\(44\) | 6.69792 | + | 3.86704i | 1.00975 | + | 0.582979i | ||||
\(45\) | −0.600353 | − | 0.435523i | −0.0894953 | − | 0.0649239i | ||||
\(46\) | −4.13022 | − | 7.15375i | −0.608968 | − | 1.05476i | ||||
\(47\) | −9.71037 | − | 3.53428i | −1.41640 | − | 0.515528i | −0.483401 | − | 0.875399i | \(-0.660599\pi\) |
−0.933002 | + | 0.359871i | \(0.882821\pi\) | |||||||
\(48\) | 0.876628 | + | 0.972891i | 0.126530 | + | 0.140425i | ||||
\(49\) | 2.10447 | − | 6.67617i | 0.300639 | − | 0.953738i | ||||
\(50\) | −3.79978 | − | 10.4398i | −0.537370 | − | 1.47641i | ||||
\(51\) | 2.33257 | + | 1.23917i | 0.326625 | + | 0.173519i | ||||
\(52\) | 5.36738 | − | 0.946414i | 0.744322 | − | 0.131244i | ||||
\(53\) | 13.1514i | 1.80648i | 0.429133 | + | 0.903241i | \(0.358819\pi\) | ||||
−0.429133 | + | 0.903241i | \(0.641181\pi\) | |||||||
\(54\) | 3.23391 | + | 11.2323i | 0.440079 | + | 1.52852i | ||||
\(55\) | 0.624853i | 0.0842552i | ||||||||
\(56\) | −2.54075 | + | 5.77485i | −0.339522 | + | 0.771696i | ||||
\(57\) | −2.32700 | − | 3.72100i | −0.308218 | − | 0.492858i | ||||
\(58\) | 8.32061 | − | 3.02846i | 1.09255 | − | 0.397656i | ||||
\(59\) | −10.4564 | − | 8.77396i | −1.36131 | − | 1.14227i | −0.975576 | − | 0.219661i | \(-0.929505\pi\) |
−0.385731 | − | 0.922611i | \(-0.626051\pi\) | |||||||
\(60\) | 0.404479 | − | 1.24638i | 0.0522180 | − | 0.160907i | ||||
\(61\) | 3.37457 | − | 9.27157i | 0.432070 | − | 1.18710i | −0.512470 | − | 0.858705i | \(-0.671269\pi\) |
0.944540 | − | 0.328397i | \(-0.106508\pi\) | |||||||
\(62\) | −6.54609 | − | 11.3382i | −0.831355 | − | 1.43995i | ||||
\(63\) | 6.05410 | − | 5.13301i | 0.762745 | − | 0.646699i | ||||
\(64\) | −6.52091 | + | 11.2945i | −0.815113 | + | 1.41182i | ||||
\(65\) | 0.283040 | + | 0.337313i | 0.0351067 | + | 0.0418386i | ||||
\(66\) | 6.05980 | − | 7.76194i | 0.745910 | − | 0.955428i | ||||
\(67\) | 2.46572 | − | 13.9838i | 0.301236 | − | 1.70839i | −0.339477 | − | 0.940614i | \(-0.610250\pi\) |
0.640713 | − | 0.767780i | \(-0.278639\pi\) | |||||||
\(68\) | −0.810324 | + | 4.59558i | −0.0982662 | + | 0.557295i | ||||
\(69\) | −5.89642 | + | 2.38477i | −0.709845 | + | 0.287093i | ||||
\(70\) | −1.46264 | + | 0.160237i | −0.174819 | + | 0.0191520i | ||||
\(71\) | 6.63806 | + | 3.83249i | 0.787793 | + | 0.454832i | 0.839185 | − | 0.543846i | \(-0.183032\pi\) |
−0.0513921 | + | 0.998679i | \(0.516366\pi\) | |||||||
\(72\) | −5.92789 | + | 4.00462i | −0.698609 | + | 0.471949i | ||||
\(73\) | 12.5886 | − | 7.26805i | 1.47339 | − | 0.850661i | 0.473836 | − | 0.880613i | \(-0.342869\pi\) |
0.999551 | + | 0.0299520i | \(0.00953546\pi\) | |||||||
\(74\) | −3.66087 | + | 10.0582i | −0.425567 | + | 1.16924i | ||||
\(75\) | −8.36681 | + | 1.78156i | −0.966116 | + | 0.205717i | ||||
\(76\) | 4.98397 | − | 5.93967i | 0.571701 | − | 0.681327i | ||||
\(77\) | −6.49534 | − | 1.58916i | −0.740213 | − | 0.181101i | ||||
\(78\) | −0.244671 | − | 6.93502i | −0.0277036 | − | 0.785237i | ||||
\(79\) | −0.495531 | − | 2.81029i | −0.0557516 | − | 0.316183i | 0.944160 | − | 0.329488i | \(-0.106876\pi\) |
−0.999911 | + | 0.0133047i | \(0.995765\pi\) | |||||||
\(80\) | −0.186927 | −0.0208991 | ||||||||
\(81\) | 8.91060 | − | 1.26537i | 0.990067 | − | 0.140596i | ||||
\(82\) | 21.7675i | 2.40381i | ||||||||
\(83\) | 0.711182 | + | 4.03331i | 0.0780624 | + | 0.442714i | 0.998639 | + | 0.0521520i | \(0.0166080\pi\) |
−0.920577 | + | 0.390562i | \(0.872281\pi\) | |||||||
\(84\) | 11.9274 | + | 7.37441i | 1.30139 | + | 0.804614i | ||||
\(85\) | −0.354277 | + | 0.128946i | −0.0384267 | + | 0.0139862i | ||||
\(86\) | 0.540898 | − | 0.644617i | 0.0583265 | − | 0.0695109i | ||||
\(87\) | −1.41992 | − | 6.66842i | −0.152231 | − | 0.714929i | ||||
\(88\) | 5.66342 | + | 2.06131i | 0.603722 | + | 0.219737i | ||||
\(89\) | 4.68984 | + | 8.12304i | 0.497122 | + | 0.861040i | 0.999994 | − | 0.00332032i | \(-0.00105689\pi\) |
−0.502873 | + | 0.864360i | \(0.667724\pi\) | |||||||
\(90\) | −1.50008 | − | 0.730302i | −0.158122 | − | 0.0769805i | ||||
\(91\) | −4.22621 | + | 2.08432i | −0.443027 | + | 0.218496i | ||||
\(92\) | −7.22311 | − | 8.60817i | −0.753062 | − | 0.897464i | ||||
\(93\) | −9.34538 | + | 3.77969i | −0.969071 | + | 0.391935i | ||||
\(94\) | −22.8918 | − | 4.03644i | −2.36111 | − | 0.416327i | ||||
\(95\) | 0.616919 | + | 0.108780i | 0.0632946 | + | 0.0111605i | ||||
\(96\) | 8.83320 | + | 6.89614i | 0.901535 | + | 0.703834i | ||||
\(97\) | 7.10327 | + | 8.46535i | 0.721228 | + | 0.859526i | 0.994750 | − | 0.102340i | \(-0.0326329\pi\) |
−0.273521 | + | 0.961866i | \(0.588188\pi\) | |||||||
\(98\) | 2.05420 | − | 15.6117i | 0.207505 | − | 1.57702i | ||||
\(99\) | −5.27099 | − | 5.45043i | −0.529755 | − | 0.547789i | ||||
\(100\) | −7.55667 | − | 13.0885i | −0.755667 | − | 1.30885i | ||||
\(101\) | 7.70374 | + | 2.80393i | 0.766551 | + | 0.279002i | 0.695553 | − | 0.718475i | \(-0.255159\pi\) |
0.0709976 | + | 0.997476i | \(0.477382\pi\) | |||||||
\(102\) | 5.65135 | + | 1.83399i | 0.559567 | + | 0.181592i | ||||
\(103\) | −7.42015 | + | 8.84299i | −0.731129 | + | 0.871326i | −0.995661 | − | 0.0930509i | \(-0.970338\pi\) |
0.264532 | + | 0.964377i | \(0.414783\pi\) | |||||||
\(104\) | 3.99099 | − | 1.45260i | 0.391348 | − | 0.142439i | ||||
\(105\) | −0.0341519 | + | 1.13243i | −0.00333289 | + | 0.110514i | ||||
\(106\) | 5.13713 | + | 29.1341i | 0.498962 | + | 2.82975i | ||||
\(107\) | − | 1.18041i | − | 0.114115i | −0.998371 | − | 0.0570575i | \(-0.981828\pi\) | ||
0.998371 | − | 0.0570575i | \(-0.0181718\pi\) | |||||||
\(108\) | 6.98578 | + | 14.2839i | 0.672207 | + | 1.37447i | ||||
\(109\) | 0.659771 | 0.0631946 | 0.0315973 | − | 0.999501i | \(-0.489941\pi\) | ||||
0.0315973 | + | 0.999501i | \(0.489941\pi\) | |||||||
\(110\) | 0.244077 | + | 1.38423i | 0.0232718 | + | 0.131981i | ||||
\(111\) | 7.27834 | + | 3.86661i | 0.690830 | + | 0.367002i | ||||
\(112\) | 0.475402 | − | 1.94310i | 0.0449212 | − | 0.183606i | ||||
\(113\) | 6.83159 | − | 8.14158i | 0.642662 | − | 0.765895i | −0.342126 | − | 0.939654i | \(-0.611147\pi\) |
0.984788 | + | 0.173759i | \(0.0555914\pi\) | |||||||
\(114\) | −6.60845 | − | 7.33412i | −0.618938 | − | 0.686903i | ||||
\(115\) | 0.310511 | − | 0.853123i | 0.0289553 | − | 0.0795541i | ||||
\(116\) | 10.4317 | − | 6.02273i | 0.968556 | − | 0.559196i | ||||
\(117\) | −5.31431 | − | 0.554696i | −0.491308 | − | 0.0512816i | ||||
\(118\) | −26.5912 | − | 15.3524i | −2.44791 | − | 1.41330i | ||||
\(119\) | −0.439380 | − | 4.01065i | −0.0402779 | − | 0.367656i | ||||
\(120\) | 0.141749 | − | 1.01123i | 0.0129399 | − | 0.0923127i | ||||
\(121\) | 0.800894 | − | 4.54209i | 0.0728085 | − | 0.412918i | ||||
\(122\) | 3.85404 | − | 21.8573i | 0.348928 | − | 1.97887i | ||||
\(123\) | 16.5983 | + | 2.32666i | 1.49662 | + | 0.209788i | ||||
\(124\) | −11.4481 | − | 13.6433i | −1.02807 | − | 1.22521i | ||||
\(125\) | 1.22859 | − | 2.12799i | 0.109889 | − | 0.190333i | ||||
\(126\) | 11.4065 | − | 13.7359i | 1.01618 | − | 1.22369i | ||||
\(127\) | 2.83297 | + | 4.90684i | 0.251385 | + | 0.435412i | 0.963907 | − | 0.266238i | \(-0.0857806\pi\) |
−0.712522 | + | 0.701649i | \(0.752447\pi\) | |||||||
\(128\) | −5.60813 | + | 15.4082i | −0.495694 | + | 1.36191i | ||||
\(129\) | −0.433725 | − | 0.481352i | −0.0381873 | − | 0.0423807i | ||||
\(130\) | 0.758774 | + | 0.636687i | 0.0665489 | + | 0.0558411i | ||||
\(131\) | 8.53948 | − | 3.10811i | 0.746097 | − | 0.271557i | 0.0591348 | − | 0.998250i | \(-0.481166\pi\) |
0.686963 | + | 0.726693i | \(0.258944\pi\) | |||||||
\(132\) | 6.28471 | − | 11.8301i | 0.547014 | − | 1.02968i | ||||
\(133\) | −2.69974 | + | 6.13622i | −0.234097 | + | 0.532077i | ||||
\(134\) | − | 31.9413i | − | 2.75931i | ||||||
\(135\) | −0.717215 | + | 1.06579i | −0.0617281 | + | 0.0917288i | ||||
\(136\) | 3.63640i | 0.311819i | ||||||||
\(137\) | −5.95521 | + | 1.05006i | −0.508788 | + | 0.0897131i | −0.422149 | − | 0.906527i | \(-0.638724\pi\) |
−0.0866395 | + | 0.996240i | \(0.527613\pi\) | |||||||
\(138\) | −12.1307 | + | 7.58618i | −1.03264 | + | 0.645779i | ||||
\(139\) | −1.09610 | − | 3.01151i | −0.0929700 | − | 0.255433i | 0.884488 | − | 0.466563i | \(-0.154508\pi\) |
−0.977458 | + | 0.211130i | \(0.932286\pi\) | |||||||
\(140\) | −1.92164 | + | 0.560180i | −0.162408 | + | 0.0473438i | ||||
\(141\) | −5.52475 | + | 17.0242i | −0.465267 | + | 1.43370i | ||||
\(142\) | 16.2022 | + | 5.89713i | 1.35966 | + | 0.494876i | ||||
\(143\) | 2.25074 | + | 3.89840i | 0.188216 | + | 0.326001i | ||||
\(144\) | 1.63051 | − | 1.57683i | 0.135876 | − | 0.131403i | ||||
\(145\) | 0.842796 | + | 0.486589i | 0.0699904 | + | 0.0404090i | ||||
\(146\) | 25.0484 | − | 21.0181i | 2.07302 | − | 1.73947i | ||||
\(147\) | −11.6848 | − | 3.23507i | −0.963745 | − | 0.266824i | ||||
\(148\) | −2.52846 | + | 14.3396i | −0.207838 | + | 1.17871i | ||||
\(149\) | 5.53630 | + | 0.976200i | 0.453552 | + | 0.0799734i | 0.395757 | − | 0.918355i | \(-0.370482\pi\) |
0.0577944 | + | 0.998329i | \(0.481593\pi\) | |||||||
\(150\) | −17.8390 | + | 7.21488i | −1.45655 | + | 0.589092i | ||||
\(151\) | −6.10710 | + | 5.12447i | −0.496989 | + | 0.417023i | −0.856523 | − | 0.516109i | \(-0.827380\pi\) |
0.359534 | + | 0.933132i | \(0.382936\pi\) | |||||||
\(152\) | 3.02108 | − | 5.23266i | 0.245042 | − | 0.424425i | ||||
\(153\) | 2.00253 | − | 4.11329i | 0.161895 | − | 0.332540i | ||||
\(154\) | −15.0098 | − | 0.983264i | −1.20952 | − | 0.0792337i | ||||
\(155\) | 0.492137 | − | 1.35214i | 0.0395294 | − | 0.108606i | ||||
\(156\) | −1.96600 | − | 9.23300i | −0.157406 | − | 0.739232i | ||||
\(157\) | −13.6396 | + | 16.2551i | −1.08856 | + | 1.29730i | −0.136753 | + | 0.990605i | \(0.543667\pi\) |
−0.951809 | + | 0.306692i | \(0.900778\pi\) | |||||||
\(158\) | −2.19549 | − | 6.03205i | −0.174663 | − | 0.479884i | ||||
\(159\) | 22.7647 | − | 0.803151i | 1.80536 | − | 0.0636941i | ||||
\(160\) | −1.57527 | + | 0.277763i | −0.124536 | + | 0.0219591i | ||||
\(161\) | 8.07849 | + | 5.39747i | 0.636674 | + | 0.425380i | ||||
\(162\) | 19.2453 | − | 6.28376i | 1.51205 | − | 0.493699i | ||||
\(163\) | 16.5748 | 1.29823 | 0.649117 | − | 0.760688i | \(-0.275138\pi\) | ||||
0.649117 | + | 0.760688i | \(0.275138\pi\) | |||||||
\(164\) | 5.14200 | + | 29.1617i | 0.401523 | + | 2.27715i | ||||
\(165\) | 1.08160 | − | 0.0381596i | 0.0842028 | − | 0.00297072i | ||||
\(166\) | 3.15094 | + | 8.65715i | 0.244561 | + | 0.671925i | ||||
\(167\) | 2.98872 | + | 2.50784i | 0.231274 | + | 0.194062i | 0.751059 | − | 0.660235i | \(-0.229543\pi\) |
−0.519785 | + | 0.854297i | \(0.673988\pi\) | |||||||
\(168\) | 10.1513 | + | 4.04531i | 0.783187 | + | 0.312102i | ||||
\(169\) | −9.23513 | − | 3.36131i | −0.710395 | − | 0.258563i | ||||
\(170\) | −0.734457 | + | 0.424039i | −0.0563303 | + | 0.0325223i | ||||
\(171\) | −6.29884 | + | 4.25521i | −0.481685 | + | 0.325404i | ||||
\(172\) | 0.572363 | − | 0.991362i | 0.0436423 | − | 0.0755906i | ||||
\(173\) | −8.15850 | + | 6.84580i | −0.620279 | + | 0.520476i | −0.897891 | − | 0.440217i | \(-0.854902\pi\) |
0.277612 | + | 0.960693i | \(0.410457\pi\) | |||||||
\(174\) | −5.75031 | − | 14.2178i | −0.435930 | − | 1.07785i | ||||
\(175\) | 9.43948 | + | 9.03570i | 0.713557 | + | 0.683035i | ||||
\(176\) | −1.88191 | − | 0.331832i | −0.141854 | − | 0.0250128i | ||||
\(177\) | −14.5489 | + | 18.6356i | −1.09356 | + | 1.40074i | ||||
\(178\) | 13.5623 | + | 16.1629i | 1.01654 | + | 1.21146i | ||||
\(179\) | −14.0703 | − | 8.12350i | −1.05166 | − | 0.607179i | −0.128549 | − | 0.991703i | \(-0.541032\pi\) |
−0.923115 | + | 0.384524i | \(0.874365\pi\) | |||||||
\(180\) | −2.18215 | − | 0.624026i | −0.162648 | − | 0.0465121i | ||||
\(181\) | 8.40715 | − | 4.85387i | 0.624899 | − | 0.360785i | −0.153875 | − | 0.988090i | \(-0.549175\pi\) |
0.778774 | + | 0.627305i | \(0.215842\pi\) | |||||||
\(182\) | −8.54810 | + | 6.26819i | −0.633627 | + | 0.464629i | ||||
\(183\) | −16.2549 | − | 5.27509i | −1.20160 | − | 0.389946i | ||||
\(184\) | −6.70802 | − | 5.62870i | −0.494522 | − | 0.414953i | ||||
\(185\) | −1.10545 | + | 0.402352i | −0.0812746 | + | 0.0295815i | ||||
\(186\) | −19.2263 | + | 12.0235i | −1.40974 | + | 0.881608i | ||||
\(187\) | −3.79564 | + | 0.669273i | −0.277564 | + | 0.0489421i | ||||
\(188\) | −31.6215 | −2.30623 | ||||||||
\(189\) | −9.25484 | − | 10.1660i | −0.673190 | − | 0.739469i | ||||
\(190\) | 1.40914 | 0.102230 | ||||||||
\(191\) | 10.4643 | − | 1.84513i | 0.757167 | − | 0.133509i | 0.218279 | − | 0.975886i | \(-0.429956\pi\) |
0.538888 | + | 0.842377i | \(0.318845\pi\) | |||||||
\(192\) | 19.9488 | + | 10.5978i | 1.43968 | + | 0.764828i | ||||
\(193\) | −22.3075 | + | 8.11926i | −1.60573 | + | 0.584437i | −0.980589 | − | 0.196076i | \(-0.937180\pi\) |
−0.625139 | + | 0.780513i | \(0.714958\pi\) | |||||||
\(194\) | 19.0425 | + | 15.9785i | 1.36717 | + | 1.14719i | ||||
\(195\) | 0.566596 | − | 0.510534i | 0.0405748 | − | 0.0365601i | ||||
\(196\) | −0.935853 | − | 21.4001i | −0.0668467 | − | 1.52858i | ||||
\(197\) | −12.9739 | + | 7.49048i | −0.924351 | + | 0.533674i | −0.885021 | − | 0.465552i | \(-0.845856\pi\) |
−0.0393306 | + | 0.999226i | \(0.512523\pi\) | |||||||
\(198\) | −13.8058 | − | 10.0153i | −0.981134 | − | 0.711759i | ||||
\(199\) | −6.29012 | − | 3.63160i | −0.445895 | − | 0.257437i | 0.260200 | − | 0.965555i | \(-0.416211\pi\) |
−0.706095 | + | 0.708117i | \(0.749545\pi\) | |||||||
\(200\) | −7.57027 | − | 9.02190i | −0.535299 | − | 0.637945i | ||||
\(201\) | −24.3562 | − | 3.41412i | −1.71795 | − | 0.240813i | ||||
\(202\) | 18.1612 | + | 3.20232i | 1.27782 | + | 0.225314i | ||||
\(203\) | −7.20152 | + | 7.52334i | −0.505448 | + | 0.528035i | ||||
\(204\) | 8.00431 | + | 1.12200i | 0.560414 | + | 0.0785557i | ||||
\(205\) | −1.83267 | + | 1.53779i | −0.127999 | + | 0.107404i | ||||
\(206\) | −12.9836 | + | 22.4882i | −0.904608 | + | 1.56683i | ||||
\(207\) | 4.48807 | + | 10.0609i | 0.311942 | + | 0.699281i | ||||
\(208\) | −1.16622 | + | 0.673317i | −0.0808627 | + | 0.0466861i | ||||
\(209\) | 6.01781 | + | 2.19031i | 0.416261 | + | 0.151507i | ||||
\(210\) | 0.366690 | + | 2.52201i | 0.0253040 | + | 0.174035i | ||||
\(211\) | −3.67430 | − | 3.08310i | −0.252949 | − | 0.212249i | 0.507492 | − | 0.861657i | \(-0.330573\pi\) |
−0.760441 | + | 0.649407i | \(0.775017\pi\) | |||||||
\(212\) | 13.7643 | + | 37.8172i | 0.945339 | + | 2.59730i | ||||
\(213\) | 6.22855 | − | 11.7244i | 0.426773 | − | 0.803340i | ||||
\(214\) | −0.461087 | − | 2.61496i | −0.0315193 | − | 0.178755i | ||||
\(215\) | 0.0924848 | 0.00630741 | ||||||||
\(216\) | 7.29390 | + | 10.0165i | 0.496287 | + | 0.681534i | ||||
\(217\) | 12.8038 | + | 8.55458i | 0.869179 | + | 0.580723i | ||||
\(218\) | 1.46158 | − | 0.257716i | 0.0989909 | − | 0.0174548i | ||||
\(219\) | −13.3496 | − | 21.3467i | −0.902082 | − | 1.44248i | ||||
\(220\) | 0.653976 | + | 1.79678i | 0.0440911 | + | 0.121139i | ||||
\(221\) | −1.74583 | + | 2.08060i | −0.117437 | + | 0.139956i | ||||
\(222\) | 17.6340 | + | 5.72262i | 1.18351 | + | 0.384077i | ||||
\(223\) | −8.88852 | + | 24.4210i | −0.595219 | + | 1.63535i | 0.165454 | + | 0.986217i | \(0.447091\pi\) |
−0.760674 | + | 0.649134i | \(0.775131\pi\) | |||||||
\(224\) | 1.11897 | − | 17.0814i | 0.0747643 | − | 1.14130i | ||||
\(225\) | 3.59480 | + | 14.3739i | 0.239653 | + | 0.958262i | ||||
\(226\) | 11.9537 | − | 20.7045i | 0.795150 | − | 1.37724i | ||||
\(227\) | 7.42394 | − | 6.22942i | 0.492744 | − | 0.413461i | −0.362265 | − | 0.932075i | \(-0.617996\pi\) |
0.855008 | + | 0.518614i | \(0.173552\pi\) | |||||||
\(228\) | −10.5858 | − | 8.26440i | −0.701061 | − | 0.547323i | ||||
\(229\) | 12.7191 | + | 2.24273i | 0.840505 | + | 0.148204i | 0.577296 | − | 0.816535i | \(-0.304108\pi\) |
0.263209 | + | 0.964739i | \(0.415219\pi\) | |||||||
\(230\) | 0.354629 | − | 2.01120i | 0.0233836 | − | 0.132615i | ||||
\(231\) | −2.35412 | + | 11.3403i | −0.154890 | + | 0.746138i | ||||
\(232\) | 7.19052 | − | 6.03357i | 0.472081 | − | 0.396123i | ||||
\(233\) | 9.80905 | + | 5.66326i | 0.642612 | + | 0.371012i | 0.785620 | − | 0.618709i | \(-0.212344\pi\) |
−0.143008 | + | 0.989722i | \(0.545677\pi\) | |||||||
\(234\) | −11.9894 | + | 0.847039i | −0.783772 | + | 0.0553727i | ||||
\(235\) | −1.27738 | − | 2.21249i | −0.0833272 | − | 0.144327i | ||||
\(236\) | −39.2506 | − | 14.2860i | −2.55500 | − | 0.929942i | ||||
\(237\) | −4.83429 | + | 1.02937i | −0.314021 | + | 0.0668651i | ||||
\(238\) | −2.53997 | − | 8.71311i | −0.164642 | − | 0.564787i | ||||
\(239\) | 2.79959 | + | 7.69181i | 0.181090 | + | 0.497542i | 0.996710 | − | 0.0810462i | \(-0.0258261\pi\) |
−0.815620 | + | 0.578588i | \(0.803604\pi\) | |||||||
\(240\) | 0.0114156 | + | 0.323565i | 0.000736872 | + | 0.0208861i | ||||
\(241\) | 19.2690 | − | 3.39765i | 1.24123 | − | 0.218862i | 0.485786 | − | 0.874078i | \(-0.338533\pi\) |
0.755442 | + | 0.655215i | \(0.227422\pi\) | |||||||
\(242\) | − | 10.3749i | − | 0.666923i | ||||||
\(243\) | −2.73448 | − | 15.3467i | −0.175417 | − | 0.984494i | ||||
\(244\) | − | 30.1925i | − | 1.93288i | ||||||
\(245\) | 1.45952 | − | 0.929958i | 0.0932450 | − | 0.0594128i | ||||
\(246\) | 37.6789 | − | 1.32933i | 2.40232 | − | 0.0847551i | ||||
\(247\) | 4.24073 | − | 1.54350i | 0.269831 | − | 0.0982105i | ||||
\(248\) | −10.6317 | − | 8.92107i | −0.675115 | − | 0.566488i | ||||
\(249\) | 6.93813 | − | 1.47735i | 0.439686 | − | 0.0936233i | ||||
\(250\) | 1.89046 | − | 5.19401i | 0.119563 | − | 0.328498i | ||||
\(251\) | 7.18348 | + | 12.4422i | 0.453417 | + | 0.785342i | 0.998596 | − | 0.0529781i | \(-0.0168714\pi\) |
−0.545178 | + | 0.838320i | \(0.683538\pi\) | |||||||
\(252\) | 12.0365 | − | 21.0964i | 0.758229 | − | 1.32895i | ||||
\(253\) | 4.64057 | − | 8.03771i | 0.291750 | − | 0.505326i | ||||
\(254\) | 8.19252 | + | 9.76346i | 0.514044 | + | 0.612614i | ||||
\(255\) | 0.244838 | + | 0.605370i | 0.0153324 | + | 0.0379097i | ||||
\(256\) | −1.87557 | + | 10.6369i | −0.117223 | + | 0.664805i | ||||
\(257\) | 2.60356 | − | 14.7655i | 0.162405 | − | 0.921047i | −0.789294 | − | 0.614015i | \(-0.789553\pi\) |
0.951699 | − | 0.307031i | \(-0.0993356\pi\) | |||||||
\(258\) | −1.14885 | − | 0.896914i | −0.0715242 | − | 0.0558394i | ||||
\(259\) | −1.37100 | − | 12.5145i | −0.0851899 | − | 0.777611i | ||||
\(260\) | 1.16692 | + | 0.673724i | 0.0723696 | + | 0.0417826i | ||||
\(261\) | −11.4561 | + | 2.86508i | −0.709117 | + | 0.177344i | ||||
\(262\) | 17.7033 | − | 10.2210i | 1.09371 | − | 0.631456i | ||||
\(263\) | −0.726566 | + | 1.99622i | −0.0448020 | + | 0.123092i | −0.960076 | − | 0.279740i | \(-0.909752\pi\) |
0.915274 | + | 0.402832i | \(0.131974\pi\) | |||||||
\(264\) | 3.22222 | − | 9.92911i | 0.198314 | − | 0.611094i | ||||
\(265\) | −2.08997 | + | 2.49073i | −0.128386 | + | 0.153004i | ||||
\(266\) | −3.58381 | + | 14.6480i | −0.219737 | + | 0.898129i | ||||
\(267\) | 13.7744 | − | 8.61406i | 0.842977 | − | 0.527172i | ||||
\(268\) | −7.54530 | − | 42.7915i | −0.460903 | − | 2.61391i | ||||
\(269\) | −9.24319 | −0.563567 | −0.281784 | − | 0.959478i | \(-0.590926\pi\) | ||||
−0.281784 | + | 0.959478i | \(0.590926\pi\) | |||||||
\(270\) | −1.17252 | + | 2.64119i | −0.0713575 | + | 0.160738i | ||||
\(271\) | − | 7.42441i | − | 0.451000i | −0.974243 | − | 0.225500i | \(-0.927598\pi\) | ||
0.974243 | − | 0.225500i | \(-0.0724016\pi\) | |||||||
\(272\) | −0.200215 | − | 1.13548i | −0.0121398 | − | 0.0688484i | ||||
\(273\) | 3.86600 | + | 7.18817i | 0.233981 | + | 0.435048i | ||||
\(274\) | −12.7823 | + | 4.65239i | −0.772209 | + | 0.281061i | ||||
\(275\) | 8.02366 | − | 9.56223i | 0.483845 | − | 0.576624i | ||||
\(276\) | −14.4594 | + | 13.0287i | −0.870354 | + | 0.784237i | ||||
\(277\) | −5.30522 | − | 1.93094i | −0.318760 | − | 0.116019i | 0.177685 | − | 0.984087i | \(-0.443139\pi\) |
−0.496445 | + | 0.868068i | \(0.665361\pi\) | |||||||
\(278\) | −3.60452 | − | 6.24320i | −0.216184 | − | 0.374442i | ||||
\(279\) | 7.11326 | + | 15.9458i | 0.425860 | + | 0.954649i | ||||
\(280\) | −1.39891 | + | 0.689926i | −0.0836007 | + | 0.0412310i | ||||
\(281\) | −1.34223 | − | 1.59961i | −0.0800710 | − | 0.0954249i | 0.724522 | − | 0.689252i | \(-0.242061\pi\) |
−0.804593 | + | 0.593827i | \(0.797616\pi\) | |||||||
\(282\) | −5.58898 | + | 39.8716i | −0.332819 | + | 2.37432i | ||||
\(283\) | −13.0874 | − | 2.30766i | −0.777965 | − | 0.137176i | −0.229454 | − | 0.973319i | \(-0.573694\pi\) |
−0.548511 | + | 0.836143i | \(0.684805\pi\) | |||||||
\(284\) | 23.0991 | + | 4.07299i | 1.37068 | + | 0.241687i | ||||
\(285\) | 0.150619 | − | 1.07451i | 0.00892193 | − | 0.0636488i | ||||
\(286\) | 6.50881 | + | 7.75690i | 0.384874 | + | 0.458675i | ||||
\(287\) | −11.3244 | − | 22.9616i | −0.668458 | − | 1.35538i | ||||
\(288\) | 11.3976 | − | 15.7112i | 0.671610 | − | 0.925790i | ||||
\(289\) | 7.33726 | + | 12.7085i | 0.431604 | + | 0.747559i | ||||
\(290\) | 2.05710 | + | 0.748725i | 0.120797 | + | 0.0439666i | ||||
\(291\) | 14.2195 | − | 12.8126i | 0.833562 | − | 0.751085i | ||||
\(292\) | 28.5922 | − | 34.0749i | 1.67323 | − | 1.99408i | ||||
\(293\) | −16.6632 | + | 6.06492i | −0.973477 | + | 0.354317i | −0.779301 | − | 0.626650i | \(-0.784426\pi\) |
−0.194176 | + | 0.980967i | \(0.562203\pi\) | |||||||
\(294\) | −27.1488 | − | 2.60237i | −1.58335 | − | 0.151773i | ||||
\(295\) | −0.586002 | − | 3.32338i | −0.0341184 | − | 0.193495i | ||||
\(296\) | 11.3467i | 0.659514i | ||||||||
\(297\) | −9.11265 | + | 9.45681i | −0.528770 | + | 0.548740i | ||||
\(298\) | 12.6458 | 0.732553 | ||||||||
\(299\) | −1.13573 | − | 6.44102i | −0.0656808 | − | 0.372494i | ||||
\(300\) | −22.1944 | + | 13.8797i | −1.28140 | + | 0.801346i | ||||
\(301\) | −0.235212 | + | 0.961378i | −0.0135574 | + | 0.0554129i | ||||
\(302\) | −11.5273 | + | 13.7377i | −0.663321 | + | 0.790515i | ||||
\(303\) | 4.38307 | − | 13.5062i | 0.251801 | − | 0.775911i | ||||
\(304\) | −0.655237 | + | 1.80025i | −0.0375804 | + | 0.103251i | ||||
\(305\) | 2.11251 | − | 1.21966i | 0.120962 | − | 0.0698374i | ||||
\(306\) | 2.82946 | − | 9.89435i | 0.161750 | − | 0.565622i | ||||
\(307\) | 13.2930 | + | 7.67469i | 0.758669 | + | 0.438018i | 0.828818 | − | 0.559519i | \(-0.189014\pi\) |
−0.0701488 | + | 0.997537i | \(0.522347\pi\) | |||||||
\(308\) | −20.3408 | + | 2.22840i | −1.15902 | + | 0.126975i | ||||
\(309\) | 15.7601 | + | 12.3041i | 0.896563 | + | 0.699953i | ||||
\(310\) | 0.562061 | − | 3.18761i | 0.0319229 | − | 0.181044i | ||||
\(311\) | 3.78764 | − | 21.4808i | 0.214778 | − | 1.21806i | −0.666514 | − | 0.745492i | \(-0.732215\pi\) |
0.881292 | − | 0.472572i | \(-0.156674\pi\) | |||||||
\(312\) | −2.75814 | − | 6.81958i | −0.156149 | − | 0.386083i | ||||
\(313\) | −15.1193 | − | 18.0185i | −0.854593 | − | 1.01846i | −0.999579 | − | 0.0290309i | \(-0.990758\pi\) |
0.144985 | − | 0.989434i | \(-0.453687\pi\) | |||||||
\(314\) | −23.8662 | + | 41.3375i | −1.34685 | + | 2.33281i | ||||
\(315\) | 1.96230 | − | 0.0100414i | 0.110563 | − | 0.000565766i | ||||
\(316\) | −4.36619 | − | 7.56246i | −0.245617 | − | 0.425422i | ||||
\(317\) | 0.405532 | − | 1.11419i | 0.0227769 | − | 0.0625791i | −0.927783 | − | 0.373120i | \(-0.878288\pi\) |
0.950560 | + | 0.310541i | \(0.100510\pi\) | |||||||
\(318\) | 50.1167 | − | 10.6714i | 2.81040 | − | 0.598425i | ||||
\(319\) | 7.62117 | + | 6.39492i | 0.426704 | + | 0.358047i | ||||
\(320\) | −3.02988 | + | 1.10278i | −0.169375 | + | 0.0616475i | ||||
\(321\) | −2.04327 | + | 0.0720875i | −0.114044 | + | 0.00402353i | ||||
\(322\) | 20.0045 | + | 8.80136i | 1.11481 | + | 0.490480i | ||||
\(323\) | 3.86396i | 0.214996i | ||||||||
\(324\) | 24.2984 | − | 12.9645i | 1.34991 | − | 0.720250i | ||||
\(325\) | − | 8.79644i | − | 0.487939i | ||||||
\(326\) | 36.7178 | − | 6.47434i | 2.03361 | − | 0.358581i | ||||
\(327\) | −0.0402920 | − | 1.14205i | −0.00222815 | − | 0.0631553i | ||||
\(328\) | 7.89218 | + | 21.6836i | 0.435772 | + | 1.19728i | ||||
\(329\) | 26.2475 | − | 7.65145i | 1.44707 | − | 0.421838i | ||||
\(330\) | 2.38116 | − | 0.507025i | 0.131078 | − | 0.0279108i | ||||
\(331\) | 20.8521 | + | 7.58954i | 1.14614 | + | 0.417159i | 0.844125 | − | 0.536146i | \(-0.180120\pi\) |
0.302010 | + | 0.953305i | \(0.402343\pi\) | |||||||
\(332\) | 6.26632 | + | 10.8536i | 0.343909 | + | 0.595668i | ||||
\(333\) | 6.24851 | − | 12.8348i | 0.342416 | − | 0.703340i | ||||
\(334\) | 7.60048 | + | 4.38814i | 0.415880 | + | 0.240108i | ||||
\(335\) | 2.68924 | − | 2.25654i | 0.146929 | − | 0.123288i | ||||
\(336\) | −3.39249 | − | 0.704243i | −0.185076 | − | 0.0384196i | ||||
\(337\) | 3.95064 | − | 22.4052i | 0.215205 | − | 1.22049i | −0.665346 | − | 0.746535i | \(-0.731716\pi\) |
0.880551 | − | 0.473952i | \(-0.157173\pi\) | |||||||
\(338\) | −21.7714 | − | 3.83889i | −1.18421 | − | 0.208808i | ||||
\(339\) | −14.5101 | − | 11.3281i | −0.788078 | − | 0.615258i | ||||
\(340\) | −0.883779 | + | 0.741578i | −0.0479296 | + | 0.0402177i | ||||
\(341\) | 7.35497 | − | 12.7392i | 0.398294 | − | 0.689865i | ||||
\(342\) | −12.2916 | + | 11.8869i | −0.664653 | + | 0.642772i | ||||
\(343\) | 5.95499 | + | 17.5368i | 0.321539 | + | 0.946896i | ||||
\(344\) | 0.305096 | − | 0.838245i | 0.0164497 | − | 0.0451951i | ||||
\(345\) | −1.49570 | − | 0.485387i | −0.0805256 | − | 0.0261324i | ||||
\(346\) | −15.3994 | + | 18.3522i | −0.827874 | + | 0.986622i | ||||
\(347\) | −0.389617 | − | 1.07047i | −0.0209158 | − | 0.0574656i | 0.928795 | − | 0.370593i | \(-0.120846\pi\) |
−0.949711 | + | 0.313127i | \(0.898623\pi\) | |||||||
\(348\) | −11.0622 | − | 17.6891i | −0.592998 | − | 0.948237i | ||||
\(349\) | −23.4750 | + | 4.13927i | −1.25659 | + | 0.221570i | −0.762010 | − | 0.647565i | \(-0.775788\pi\) |
−0.494575 | + | 0.869135i | \(0.664676\pi\) | |||||||
\(350\) | 24.4406 | + | 16.3295i | 1.30641 | + | 0.872847i | ||||
\(351\) | −0.635620 | + | 9.23281i | −0.0339269 | + | 0.492811i | ||||
\(352\) | −16.3524 | −0.871583 | ||||||||
\(353\) | 4.76549 | + | 27.0265i | 0.253642 | + | 1.43847i | 0.799535 | + | 0.600619i | \(0.205079\pi\) |
−0.545894 | + | 0.837854i | \(0.683810\pi\) | |||||||
\(354\) | −24.9507 | + | 46.9662i | −1.32612 | + | 2.49622i | ||||
\(355\) | 0.648132 | + | 1.78073i | 0.0343993 | + | 0.0945112i | ||||
\(356\) | 21.9874 | + | 18.4496i | 1.16533 | + | 0.977828i | ||||
\(357\) | −6.91549 | + | 1.00548i | −0.366007 | + | 0.0532159i | ||||
\(358\) | −34.3429 | − | 12.4998i | −1.81508 | − | 0.660635i | ||||
\(359\) | −9.10590 | + | 5.25730i | −0.480591 | + | 0.277469i | −0.720663 | − | 0.693286i | \(-0.756162\pi\) |
0.240072 | + | 0.970755i | \(0.422829\pi\) | |||||||
\(360\) | −1.75908 | − | 0.183608i | −0.0927115 | − | 0.00967702i | ||||
\(361\) | −6.28987 | + | 10.8944i | −0.331046 | + | 0.573388i | ||||
\(362\) | 16.7283 | − | 14.0367i | 0.879218 | − | 0.737751i | ||||
\(363\) | −7.91115 | − | 1.10894i | −0.415228 | − | 0.0582043i | ||||
\(364\) | −9.97113 | + | 10.4167i | −0.522629 | + | 0.545984i | ||||
\(365\) | 3.53916 | + | 0.624050i | 0.185248 | + | 0.0326642i | ||||
\(366\) | −38.0698 | − | 5.33642i | −1.98994 | − | 0.278939i | ||||
\(367\) | 6.44084 | + | 7.67590i | 0.336209 | + | 0.400679i | 0.907488 | − | 0.420077i | \(-0.137997\pi\) |
−0.571279 | + | 0.820756i | \(0.693553\pi\) | |||||||
\(368\) | 2.40451 | + | 1.38824i | 0.125344 | + | 0.0723672i | ||||
\(369\) | 3.01374 | − | 28.8734i | 0.156889 | − | 1.50309i | ||||
\(370\) | −2.29173 | + | 1.32313i | −0.119142 | + | 0.0687864i | ||||
\(371\) | −20.5758 | − | 28.0598i | −1.06824 | − | 1.45679i | ||||
\(372\) | −22.9171 | + | 20.6496i | −1.18820 | + | 1.07063i | ||||
\(373\) | −2.42983 | − | 2.03887i | −0.125812 | − | 0.105569i | 0.577711 | − | 0.816242i | \(-0.303946\pi\) |
−0.703523 | + | 0.710673i | \(0.748391\pi\) | |||||||
\(374\) | −8.14700 | + | 2.96526i | −0.421271 | + | 0.153330i | ||||
\(375\) | −3.75852 | − | 1.99671i | −0.194089 | − | 0.103110i | ||||
\(376\) | −24.2671 | + | 4.27894i | −1.25148 | + | 0.220669i | ||||
\(377\) | 7.01083 | 0.361076 | ||||||||
\(378\) | −24.4731 | − | 18.9056i | −1.25876 | − | 0.972398i | ||||
\(379\) | −12.4475 | −0.639388 | −0.319694 | − | 0.947521i | \(-0.603580\pi\) | ||||
−0.319694 | + | 0.947521i | \(0.603580\pi\) | |||||||
\(380\) | 1.88782 | − | 0.332874i | 0.0968432 | − | 0.0170761i | ||||
\(381\) | 8.32060 | − | 5.20345i | 0.426277 | − | 0.266581i | ||||
\(382\) | 22.4606 | − | 8.17499i | 1.14918 | − | 0.418269i | ||||
\(383\) | −5.86366 | − | 4.92020i | −0.299619 | − | 0.251410i | 0.480567 | − | 0.876958i | \(-0.340431\pi\) |
−0.780186 | + | 0.625548i | \(0.784875\pi\) | |||||||
\(384\) | 27.0137 | + | 8.76656i | 1.37854 | + | 0.447366i | ||||
\(385\) | −0.977603 | − | 1.33318i | −0.0498233 | − | 0.0679454i | ||||
\(386\) | −46.2460 | + | 26.7001i | −2.35386 | + | 1.35900i | ||||
\(387\) | −0.806721 | + | 0.780162i | −0.0410079 | + | 0.0396579i | ||||
\(388\) | 29.2856 | + | 16.9080i | 1.48675 | + | 0.858376i | ||||
\(389\) | −6.85223 | − | 8.16617i | −0.347422 | − | 0.414041i | 0.563830 | − | 0.825891i | \(-0.309327\pi\) |
−0.911252 | + | 0.411850i | \(0.864883\pi\) | |||||||
\(390\) | 1.05575 | − | 1.35230i | 0.0534600 | − | 0.0684764i | ||||
\(391\) | 5.51483 | + | 0.972414i | 0.278897 | + | 0.0491771i | ||||
\(392\) | −3.61400 | − | 16.2963i | −0.182535 | − | 0.823086i | ||||
\(393\) | −5.90157 | − | 14.5918i | −0.297695 | − | 0.736059i | ||||
\(394\) | −25.8150 | + | 21.6614i | −1.30054 | + | 1.09128i | ||||
\(395\) | 0.352754 | − | 0.610987i | 0.0177490 | − | 0.0307421i | ||||
\(396\) | −20.8614 | − | 10.1562i | −1.04832 | − | 0.510369i | ||||
\(397\) | −5.75436 | + | 3.32228i | −0.288803 | + | 0.166740i | −0.637402 | − | 0.770532i | \(-0.719991\pi\) |
0.348599 | + | 0.937272i | \(0.386658\pi\) | |||||||
\(398\) | −15.3530 | − | 5.58803i | −0.769575 | − | 0.280103i | ||||
\(399\) | 10.7865 | + | 4.29845i | 0.540001 | + | 0.215192i | ||||
\(400\) | 2.86057 | + | 2.40031i | 0.143029 | + | 0.120015i | ||||
\(401\) | −3.76980 | − | 10.3574i | −0.188255 | − | 0.517226i | 0.809278 | − | 0.587426i | \(-0.199859\pi\) |
−0.997533 | + | 0.0701997i | \(0.977636\pi\) | |||||||
\(402\) | −55.2896 | + | 1.95065i | −2.75759 | + | 0.0972894i | ||||
\(403\) | −1.80004 | − | 10.2085i | −0.0896665 | − | 0.508524i | ||||
\(404\) | 25.0870 | 1.24812 | ||||||||
\(405\) | 1.88866 | + | 1.17639i | 0.0938482 | + | 0.0584555i | ||||
\(406\) | −13.0147 | + | 19.4794i | −0.645909 | + | 0.966745i | ||||
\(407\) | −11.8436 | + | 2.08834i | −0.587064 | + | 0.103515i | ||||
\(408\) | 6.29452 | − | 0.222074i | 0.311625 | − | 0.0109943i | ||||
\(409\) | −2.85868 | − | 7.85416i | −0.141353 | − | 0.388363i | 0.848734 | − | 0.528820i | \(-0.177365\pi\) |
−0.990087 | + | 0.140456i | \(0.955143\pi\) | |||||||
\(410\) | −3.45921 | + | 4.12252i | −0.170838 | + | 0.203597i | ||||
\(411\) | 2.18132 | + | 10.2442i | 0.107596 | + | 0.505308i | ||||
\(412\) | −12.0817 | + | 33.1943i | −0.595224 | + | 1.63537i | ||||
\(413\) | 36.0369 | + | 2.36071i | 1.77326 | + | 0.116163i | ||||
\(414\) | 13.8723 | + | 20.5347i | 0.681786 | + | 1.00922i | ||||
\(415\) | −0.506269 | + | 0.876884i | −0.0248518 | + | 0.0430445i | ||||
\(416\) | −8.82747 | + | 7.40712i | −0.432802 | + | 0.363164i | ||||
\(417\) | −5.14590 | + | 2.08123i | −0.251996 | + | 0.101918i | ||||
\(418\) | 14.1868 | + | 2.50151i | 0.693897 | + | 0.122353i | ||||
\(419\) | 1.12514 | − | 6.38097i | 0.0549666 | − | 0.311731i | −0.944912 | − | 0.327325i | \(-0.893853\pi\) |
0.999878 | + | 0.0155940i | \(0.00496393\pi\) | |||||||
\(420\) | 1.08701 | + | 3.29210i | 0.0530407 | + | 0.160638i | ||||
\(421\) | 28.8447 | − | 24.2035i | 1.40580 | − | 1.17961i | 0.447350 | − | 0.894359i | \(-0.352368\pi\) |
0.958453 | − | 0.285250i | \(-0.0920765\pi\) | |||||||
\(422\) | −9.34393 | − | 5.39472i | −0.454855 | − | 0.262611i | ||||
\(423\) | 29.8059 | + | 8.52353i | 1.44921 | + | 0.414428i | ||||
\(424\) | 15.6804 | + | 27.1593i | 0.761508 | + | 1.31897i | ||||
\(425\) | 7.07734 | + | 2.57594i | 0.343302 | + | 0.124952i | ||||
\(426\) | 9.21831 | − | 28.4058i | 0.446629 | − | 1.37626i | ||||
\(427\) | 7.30569 | + | 25.0614i | 0.353547 | + | 1.21281i | ||||
\(428\) | −1.23543 | − | 3.39432i | −0.0597168 | − | 0.164071i | ||||
\(429\) | 6.61058 | − | 4.13405i | 0.319162 | − | 0.199594i | ||||
\(430\) | 0.204880 | − | 0.0361259i | 0.00988021 | − | 0.00174215i | ||||
\(431\) | 36.9728i | 1.78092i | 0.455064 | + | 0.890459i | \(0.349616\pi\) | ||||
−0.455064 | + | 0.890459i | \(0.650384\pi\) | |||||||
\(432\) | −2.82903 | − | 2.72608i | −0.136112 | − | 0.131159i | ||||
\(433\) | − | 10.5123i | − | 0.505189i | −0.967572 | − | 0.252594i | \(-0.918716\pi\) | ||
0.967572 | − | 0.252594i | \(-0.0812838\pi\) | |||||||
\(434\) | 31.7057 | + | 13.9495i | 1.52192 | + | 0.669597i | ||||
\(435\) | 0.790803 | − | 1.48857i | 0.0379161 | − | 0.0713717i | ||||
\(436\) | 1.89719 | − | 0.690522i | 0.0908591 | − | 0.0330700i | ||||
\(437\) | −7.12779 | − | 5.98092i | −0.340968 | − | 0.286106i | ||||
\(438\) | −37.9115 | − | 42.0746i | −1.81148 | − | 2.01040i | ||||
\(439\) | 0.724156 | − | 1.98960i | 0.0345621 | − | 0.0949585i | −0.921211 | − | 0.389063i | \(-0.872799\pi\) |
0.955773 | + | 0.294104i | \(0.0950212\pi\) | |||||||
\(440\) | 0.745013 | + | 1.29040i | 0.0355171 | + | 0.0615174i | ||||
\(441\) | −4.88624 | + | 20.4236i | −0.232678 | + | 0.972554i | ||||
\(442\) | −3.05481 | + | 5.29108i | −0.145302 | + | 0.251671i | ||||
\(443\) | −15.3703 | − | 18.3177i | −0.730267 | − | 0.870298i | 0.265318 | − | 0.964161i | \(-0.414523\pi\) |
−0.995585 | + | 0.0938626i | \(0.970079\pi\) | |||||||
\(444\) | 24.9759 | + | 3.50099i | 1.18530 | + | 0.166149i | ||||
\(445\) | −0.402679 | + | 2.28371i | −0.0190888 | + | 0.108258i | ||||
\(446\) | −10.1514 | + | 57.5715i | −0.480683 | + | 2.72609i | ||||
\(447\) | 1.35168 | − | 9.64282i | 0.0639321 | − | 0.456090i | ||||
\(448\) | −3.75770 | − | 34.3002i | −0.177535 | − | 1.62053i | ||||
\(449\) | 31.2530 | + | 18.0439i | 1.47492 | + | 0.851546i | 0.999600 | − | 0.0282658i | \(-0.00899849\pi\) |
0.475321 | + | 0.879812i | \(0.342332\pi\) | |||||||
\(450\) | 13.5782 | + | 30.4382i | 0.640082 | + | 1.43487i | ||||
\(451\) | −21.1805 | + | 12.2286i | −0.997352 | + | 0.575822i | ||||
\(452\) | 11.1234 | − | 30.5614i | 0.523202 | − | 1.43749i | ||||
\(453\) | 9.24328 | + | 10.2583i | 0.434287 | + | 0.481976i | ||||
\(454\) | 14.0128 | − | 16.6999i | 0.657655 | − | 0.783763i | ||||
\(455\) | −1.13163 | − | 0.276866i | −0.0530517 | − | 0.0129797i | ||||
\(456\) | −9.24209 | − | 4.90985i | −0.432801 | − | 0.229925i | ||||
\(457\) | −6.28049 | − | 35.6184i | −0.293789 | − | 1.66616i | −0.672085 | − | 0.740474i | \(-0.734601\pi\) |
0.378296 | − | 0.925685i | \(-0.376510\pi\) | |||||||
\(458\) | 29.0526 | 1.35754 | ||||||||
\(459\) | −7.24230 | − | 3.21513i | −0.338042 | − | 0.150069i | ||||
\(460\) | − | 2.77816i | − | 0.129533i | ||||||
\(461\) | −5.90462 | − | 33.4868i | −0.275006 | − | 1.55963i | −0.738944 | − | 0.673767i | \(-0.764675\pi\) |
0.463938 | − | 0.885868i | \(-0.346436\pi\) | |||||||
\(462\) | −0.785362 | + | 26.0416i | −0.0365383 | + | 1.21157i | ||||
\(463\) | −9.66392 | + | 3.51738i | −0.449121 | + | 0.163467i | −0.556671 | − | 0.830733i | \(-0.687922\pi\) |
0.107550 | + | 0.994200i | \(0.465699\pi\) | |||||||
\(464\) | −1.91306 | + | 2.27990i | −0.0888117 | + | 0.105842i | ||||
\(465\) | −2.37057 | − | 0.769302i | −0.109932 | − | 0.0356755i | ||||
\(466\) | 23.9420 | + | 8.71418i | 1.10909 | + | 0.403677i | ||||
\(467\) | −9.22027 | − | 15.9700i | −0.426663 | − | 0.739002i | 0.569911 | − | 0.821706i | \(-0.306978\pi\) |
−0.996574 | + | 0.0827042i | \(0.973644\pi\) | |||||||
\(468\) | −15.8620 | + | 3.96696i | −0.733222 | + | 0.183373i | ||||
\(469\) | 16.6173 | + | 33.6935i | 0.767315 | + | 1.55582i | ||||
\(470\) | −3.69400 | − | 4.40234i | −0.170391 | − | 0.203065i | ||||
\(471\) | 28.9701 | + | 22.6172i | 1.33487 | + | 1.04214i | ||||
\(472\) | −32.0550 | − | 5.65215i | −1.47545 | − | 0.260162i | ||||
\(473\) | 0.931103 | + | 0.164179i | 0.0428122 | + | 0.00754894i | ||||
\(474\) | −10.3072 | + | 4.16870i | −0.473427 | + | 0.191475i | ||||
\(475\) | −8.04399 | − | 9.58646i | −0.369084 | − | 0.439857i | ||||
\(476\) | −5.46103 | − | 11.0729i | −0.250306 | − | 0.507525i | ||||
\(477\) | −2.78047 | − | 39.3561i | −0.127309 | − | 1.80199i | ||||
\(478\) | 9.20643 | + | 15.9460i | 0.421092 | + | 0.729353i | ||||
\(479\) | 7.86989 | + | 2.86440i | 0.359584 | + | 0.130878i | 0.515494 | − | 0.856893i | \(-0.327609\pi\) |
−0.155909 | + | 0.987771i | \(0.549831\pi\) | |||||||
\(480\) | 0.577002 | + | 2.70979i | 0.0263364 | + | 0.123685i | ||||
\(481\) | −5.44754 | + | 6.49212i | −0.248386 | + | 0.296015i | ||||
\(482\) | 41.3593 | − | 15.0536i | 1.88386 | − | 0.685671i | ||||
\(483\) | 8.84952 | − | 14.3133i | 0.402667 | − | 0.651277i | ||||
\(484\) | −2.45080 | − | 13.8992i | −0.111400 | − | 0.631780i | ||||
\(485\) | 2.73207i | 0.124057i | ||||||||
\(486\) | −12.0523 | − | 32.9293i | −0.546705 | − | 1.49370i | ||||
\(487\) | −8.46558 | −0.383612 | −0.191806 | − | 0.981433i | \(-0.561434\pi\) | ||||
−0.191806 | + | 0.981433i | \(0.561434\pi\) | |||||||
\(488\) | −4.08558 | − | 23.1704i | −0.184945 | − | 1.04888i | ||||
\(489\) | −1.01221 | − | 28.6905i | −0.0457739 | − | 1.29743i | ||||
\(490\) | 2.86999 | − | 2.63023i | 0.129653 | − | 0.118822i | ||||
\(491\) | −13.2972 | + | 15.8470i | −0.600093 | + | 0.715163i | −0.977512 | − | 0.210879i | \(-0.932367\pi\) |
0.377419 | + | 0.926043i | \(0.376812\pi\) | |||||||
\(492\) | 50.1641 | − | 10.6816i | 2.26157 | − | 0.481562i | ||||
\(493\) | −2.05305 | + | 5.64070i | −0.0924646 | + | 0.254044i | ||||
\(494\) | 8.79152 | − | 5.07579i | 0.395549 | − | 0.228370i | ||||
\(495\) | −0.132106 | − | 1.86990i | −0.00593775 | − | 0.0840457i | ||||
\(496\) | 3.81097 | + | 2.20026i | 0.171117 | + | 0.0987947i | ||||
\(497\) | −20.1590 | + | 2.20849i | −0.904255 | + | 0.0990641i | ||||
\(498\) | 14.7929 | − | 5.98289i | 0.662884 | − | 0.268100i | ||||
\(499\) | −3.92475 | + | 22.2583i | −0.175696 | + | 0.996420i | 0.761642 | + | 0.647998i | \(0.224394\pi\) |
−0.937338 | + | 0.348422i | \(0.886718\pi\) | |||||||
\(500\) | 1.30569 | − | 7.40495i | 0.0583923 | − | 0.331159i | ||||
\(501\) | 4.15848 | − | 5.32655i | 0.185787 | − | 0.237973i | ||||
\(502\) | 20.7736 | + | 24.7570i | 0.927170 | + | 1.10496i | ||||
\(503\) | 6.98385 | − | 12.0964i | 0.311394 | − | 0.539351i | −0.667270 | − | 0.744816i | \(-0.732537\pi\) |
0.978664 | + | 0.205465i | \(0.0658707\pi\) | |||||||
\(504\) | 6.38238 | − | 17.8186i | 0.284294 | − | 0.793705i | ||||
\(505\) | 1.01341 | + | 1.75528i | 0.0450963 | + | 0.0781091i | ||||
\(506\) | 7.14055 | − | 19.6185i | 0.317436 | − | 0.872149i | ||||
\(507\) | −5.25436 | + | 16.1910i | −0.233354 | + | 0.719070i | ||||
\(508\) | 13.2818 | + | 11.1448i | 0.589285 | + | 0.494469i | ||||
\(509\) | 6.42237 | − | 2.33755i | 0.284666 | − | 0.103610i | −0.195741 | − | 0.980656i | \(-0.562711\pi\) |
0.480407 | + | 0.877046i | \(0.340489\pi\) | |||||||
\(510\) | 0.778853 | + | 1.24543i | 0.0344882 | + | 0.0551486i | ||||
\(511\) | −15.4880 | + | 35.2024i | −0.685147 | + | 1.55726i | ||||
\(512\) | − | 8.49778i | − | 0.375552i | ||||||
\(513\) | 7.75033 | + | 10.6433i | 0.342185 | + | 0.469912i | ||||
\(514\) | − | 33.7268i | − | 1.48763i | ||||||
\(515\) | −2.81059 | + | 0.495583i | −0.123849 | + | 0.0218380i | ||||
\(516\) | −1.75098 | − | 0.930203i | −0.0770824 | − | 0.0409499i | ||||
\(517\) | −8.93261 | − | 24.5421i | −0.392856 | − | 1.07936i | ||||
\(518\) | −7.92550 | − | 27.1876i | −0.348226 | − | 1.19455i | ||||
\(519\) | 12.3481 | + | 13.7041i | 0.542023 | + | 0.601543i | ||||
\(520\) | 0.986691 | + | 0.359126i | 0.0432693 | + | 0.0157487i | ||||
\(521\) | 2.63476 | + | 4.56354i | 0.115431 | + | 0.199932i | 0.917952 | − | 0.396692i | \(-0.129842\pi\) |
−0.802521 | + | 0.596624i | \(0.796508\pi\) | |||||||
\(522\) | −24.2595 | + | 10.8219i | −1.06181 | + | 0.473663i | ||||
\(523\) | −34.3646 | − | 19.8404i | −1.50266 | − | 0.867560i | −0.999995 | − | 0.00307825i | \(-0.999020\pi\) |
−0.502663 | − | 0.864482i | \(-0.667647\pi\) | |||||||
\(524\) | 21.3026 | − | 17.8750i | 0.930606 | − | 0.780871i | ||||
\(525\) | 15.0641 | − | 16.8913i | 0.657451 | − | 0.737197i | ||||
\(526\) | −0.829798 | + | 4.70602i | −0.0361809 | + | 0.205192i | ||||
\(527\) | 8.74060 | + | 1.54120i | 0.380747 | + | 0.0671359i | ||||
\(528\) | −0.459464 | + | 3.27780i | −0.0199956 | + | 0.142648i | ||||
\(529\) | 7.28895 | − | 6.11615i | 0.316911 | − | 0.265920i | ||||
\(530\) | −3.65697 | + | 6.33406i | −0.158849 | + | 0.275134i | ||||
\(531\) | 33.1462 | + | 24.0457i | 1.43842 | + | 1.04350i | ||||
\(532\) | −1.34098 | + | 20.4705i | −0.0581390 | + | 0.887507i | ||||
\(533\) | −5.89467 | + | 16.1955i | −0.255327 | + | 0.701504i | ||||
\(534\) | 27.1494 | − | 24.4631i | 1.17487 | − | 1.05862i | ||||
\(535\) | 0.187587 | − | 0.223558i | 0.00811010 | − | 0.00966524i | ||||
\(536\) | −11.5809 | − | 31.8182i | −0.500218 | − | 1.37434i | ||||
\(537\) | −13.2023 | + | 24.8514i | −0.569721 | + | 1.07242i | ||||
\(538\) | −20.4763 | + | 3.61053i | −0.882797 | + | 0.155661i | ||||
\(539\) | 16.3447 | − | 6.77155i | 0.704017 | − | 0.291671i | ||||
\(540\) | −0.946909 | + | 3.81536i | −0.0407485 | + | 0.164187i | ||||
\(541\) | −16.0075 | −0.688218 | −0.344109 | − | 0.938930i | \(-0.611819\pi\) | ||||
−0.344109 | + | 0.938930i | \(0.611819\pi\) | |||||||
\(542\) | −2.90008 | − | 16.4472i | −0.124569 | − | 0.706467i | ||||
\(543\) | −8.91535 | − | 14.2561i | −0.382594 | − | 0.611789i | ||||
\(544\) | −3.37451 | − | 9.27140i | −0.144681 | − | 0.397508i | ||||
\(545\) | 0.124953 | + | 0.104848i | 0.00535242 | + | 0.00449121i | ||||
\(546\) | 11.3721 | + | 14.4137i | 0.486681 | + | 0.616851i | ||||
\(547\) | −24.4521 | − | 8.89982i | −1.04549 | − | 0.380529i | −0.238534 | − | 0.971134i | \(-0.576667\pi\) |
−0.806960 | + | 0.590605i | \(0.798889\pi\) | |||||||
\(548\) | −16.0254 | + | 9.25226i | −0.684571 | + | 0.395237i | ||||
\(549\) | −8.13836 | + | 28.4590i | −0.347337 | + | 1.21460i | ||||
\(550\) | 14.0396 | − | 24.3172i | 0.598649 | − | 1.03689i | ||||
\(551\) | 7.64048 | − | 6.41113i | 0.325496 | − | 0.273123i | ||||
\(552\) | −9.33347 | + | 11.9552i | −0.397259 | + | 0.508845i | ||||
\(553\) | 5.45406 | + | 5.22076i | 0.231930 | + | 0.222009i | ||||
\(554\) | −12.5068 | − | 2.20529i | −0.531365 | − | 0.0936939i | ||||
\(555\) | 0.763971 | + | 1.88894i | 0.0324288 | + | 0.0801811i | ||||
\(556\) | −6.30374 | − | 7.51250i | −0.267338 | − | 0.318601i | ||||
\(557\) | −20.8950 | − | 12.0637i | −0.885349 | − | 0.511156i | −0.0129306 | − | 0.999916i | \(-0.504116\pi\) |
−0.872418 | + | 0.488760i | \(0.837449\pi\) | |||||||
\(558\) | 21.9866 | + | 32.5460i | 0.930766 | + | 1.37778i | ||||
\(559\) | 0.577004 | − | 0.333133i | 0.0244047 | − | 0.0140900i | ||||
\(560\) | 0.398827 | − | 0.292453i | 0.0168535 | − | 0.0123584i | ||||
\(561\) | 1.39029 | + | 6.52928i | 0.0586982 | + | 0.275666i | ||||
\(562\) | −3.59827 | − | 3.01930i | −0.151784 | − | 0.127362i | ||||
\(563\) | 4.87269 | − | 1.77351i | 0.205359 | − | 0.0747447i | −0.237293 | − | 0.971438i | \(-0.576260\pi\) |
0.442652 | + | 0.896694i | \(0.354038\pi\) | |||||||
\(564\) | 1.93111 | + | 54.7359i | 0.0813146 | + | 2.30480i | ||||
\(565\) | 2.58766 | − | 0.456274i | 0.108864 | − | 0.0191956i | ||||
\(566\) | −29.8938 | −1.25653 | ||||||||
\(567\) | −17.0319 | + | 16.6407i | −0.715274 | + | 0.698844i | ||||
\(568\) | 18.2779 | 0.766924 | ||||||||
\(569\) | −2.76725 | + | 0.487940i | −0.116009 | + | 0.0204555i | −0.231351 | − | 0.972870i | \(-0.574315\pi\) |
0.115342 | + | 0.993326i | \(0.463204\pi\) | |||||||
\(570\) | −0.0860560 | − | 2.43919i | −0.00360449 | − | 0.102167i | ||||
\(571\) | −9.16577 | + | 3.33607i | −0.383576 | + | 0.139610i | −0.526609 | − | 0.850108i | \(-0.676537\pi\) |
0.143033 | + | 0.989718i | \(0.454314\pi\) | |||||||
\(572\) | 10.5522 | + | 8.85433i | 0.441209 | + | 0.370218i | ||||
\(573\) | −3.83292 | − | 18.0007i | −0.160123 | − | 0.751989i | ||||
\(574\) | −34.0559 | − | 46.4430i | −1.42147 | − | 1.93849i | ||||
\(575\) | −15.7067 | + | 9.06824i | −0.655013 | + | 0.378172i | ||||
\(576\) | 17.1262 | − | 35.1780i | 0.713591 | − | 1.46575i | ||||
\(577\) | 16.0356 | + | 9.25816i | 0.667571 | + | 0.385422i | 0.795156 | − | 0.606405i | \(-0.207389\pi\) |
−0.127585 | + | 0.991828i | \(0.540722\pi\) | |||||||
\(578\) | 21.2183 | + | 25.2869i | 0.882564 | + | 1.05180i | ||||
\(579\) | 15.4165 | + | 38.1178i | 0.640689 | + | 1.58412i | ||||
\(580\) | 2.93275 | + | 0.517124i | 0.121776 | + | 0.0214724i | ||||
\(581\) | −7.82763 | − | 7.49280i | −0.324745 | − | 0.310854i | ||||
\(582\) | 26.4955 | − | 33.9378i | 1.09827 | − | 1.40677i | ||||
\(583\) | −25.4626 | + | 21.3657i | −1.05455 | + | 0.884875i | ||||
\(584\) | 17.3314 | − | 30.0189i | 0.717178 | − | 1.24219i | ||||
\(585\) | −0.918323 | − | 0.949584i | −0.0379680 | − | 0.0392605i | ||||
\(586\) | −34.5448 | + | 19.9445i | −1.42703 | + | 0.823898i | ||||
\(587\) | −25.0011 | − | 9.09966i | −1.03191 | − | 0.375583i | −0.230100 | − | 0.973167i | \(-0.573905\pi\) |
−0.801807 | + | 0.597584i | \(0.796128\pi\) | |||||||
\(588\) | −36.9858 | + | 2.92683i | −1.52527 | + | 0.120701i | ||||
\(589\) | −11.2970 | − | 9.47932i | −0.465485 | − | 0.390589i | ||||
\(590\) | −2.59633 | − | 7.13335i | −0.106889 | − | 0.293675i | ||||
\(591\) | 13.7581 | + | 22.0000i | 0.565934 | + | 0.904960i | ||||
\(592\) | −0.624734 | − | 3.54304i | −0.0256764 | − | 0.145618i | ||||
\(593\) | −43.4802 | −1.78552 | −0.892758 | − | 0.450536i | \(-0.851233\pi\) | ||||
−0.892758 | + | 0.450536i | \(0.851233\pi\) | |||||||
\(594\) | −16.4932 | + | 24.5091i | −0.676723 | + | 1.00562i | ||||
\(595\) | 0.554144 | − | 0.829398i | 0.0227177 | − | 0.0340020i | ||||
\(596\) | 16.9415 | − | 2.98725i | 0.693952 | − | 0.122362i | ||||
\(597\) | −5.90207 | + | 11.1098i | −0.241556 | + | 0.454694i | ||||
\(598\) | −5.03192 | − | 13.8251i | −0.205770 | − | 0.565350i | ||||
\(599\) | −18.9112 | + | 22.5375i | −0.772690 | + | 0.920856i | −0.998579 | − | 0.0532968i | \(-0.983027\pi\) |
0.225888 | + | 0.974153i | \(0.427472\pi\) | |||||||
\(600\) | −15.1544 | + | 13.6549i | −0.618674 | + | 0.557459i | ||||
\(601\) | 14.5592 | − | 40.0010i | 0.593880 | − | 1.63167i | −0.169357 | − | 0.985555i | \(-0.554169\pi\) |
0.763237 | − | 0.646118i | \(-0.223609\pi\) | |||||||
\(602\) | −0.145533 | + | 2.22161i | −0.00593150 | + | 0.0905459i | ||||
\(603\) | −4.42232 | + | 42.3684i | −0.180091 | + | 1.72538i | ||||
\(604\) | −12.1979 | + | 21.1273i | −0.496324 | + | 0.859658i | ||||
\(605\) | 0.873493 | − | 0.732948i | 0.0355125 | − | 0.0297986i | ||||
\(606\) | 4.43403 | − | 31.6322i | 0.180120 | − | 1.28497i | ||||
\(607\) | 36.2942 | + | 6.39965i | 1.47314 | + | 0.259754i | 0.851832 | − | 0.523815i | \(-0.175492\pi\) |
0.621305 | + | 0.783569i | \(0.286603\pi\) | |||||||
\(608\) | −2.84675 | + | 16.1447i | −0.115451 | + | 0.654755i | ||||
\(609\) | 13.4625 | + | 12.0062i | 0.545528 | + | 0.486516i | ||||
\(610\) | 4.20340 | − | 3.52707i | 0.170191 | − | 0.142807i | ||||
\(611\) | −15.9389 | − | 9.20235i | −0.644820 | − | 0.372287i | ||||
\(612\) | 1.45333 | − | 13.9238i | 0.0587474 | − | 0.562835i | ||||
\(613\) | 8.70321 | + | 15.0744i | 0.351519 | + | 0.608849i | 0.986516 | − | 0.163666i | \(-0.0523319\pi\) |
−0.634997 | + | 0.772515i | \(0.718999\pi\) | |||||||
\(614\) | 32.4455 | + | 11.8092i | 1.30940 | + | 0.476581i | ||||
\(615\) | 2.77380 | + | 3.07839i | 0.111850 | + | 0.124133i | ||||
\(616\) | −15.3084 | + | 4.46259i | −0.616795 | + | 0.179803i | ||||
\(617\) | 4.34334 | + | 11.9332i | 0.174856 | + | 0.480413i | 0.995901 | − | 0.0904505i | \(-0.0288307\pi\) |
−0.821045 | + | 0.570864i | \(0.806608\pi\) | |||||||
\(618\) | 39.7194 | + | 21.1009i | 1.59775 | + | 0.848801i | ||||
\(619\) | 3.78939 | − | 0.668172i | 0.152309 | − | 0.0268561i | −0.0969739 | − | 0.995287i | \(-0.530916\pi\) |
0.249282 | + | 0.968431i | \(0.419805\pi\) | |||||||
\(620\) | − | 4.40319i | − | 0.176836i | ||||||
\(621\) | 17.1411 | − | 8.38315i | 0.687848 | − | 0.336404i | ||||
\(622\) | − | 49.0656i | − | 1.96735i | ||||||
\(623\) | −22.7150 | − | 9.99388i | −0.910057 | − | 0.400396i | ||||
\(624\) | 1.23671 | + | 1.97758i | 0.0495082 | + | 0.0791664i | ||||
\(625\) | −22.6343 | + | 8.23820i | −0.905371 | + | 0.329528i | ||||
\(626\) | −40.5319 | − | 34.0103i | −1.61998 | − | 1.35932i | ||||
\(627\) | 3.42386 | − | 10.5504i | 0.136736 | − | 0.421344i | ||||
\(628\) | −22.2085 | + | 61.0174i | −0.886216 | + | 2.43486i | ||||
\(629\) | −3.62811 | − | 6.28407i | −0.144662 | − | 0.250562i | ||||
\(630\) | 4.34314 | − | 0.788748i | 0.173035 | − | 0.0314245i | ||||
\(631\) | 22.5975 | − | 39.1400i | 0.899591 | − | 1.55814i | 0.0715743 | − | 0.997435i | \(-0.477198\pi\) |
0.828017 | − | 0.560703i | \(-0.189469\pi\) | |||||||
\(632\) | −4.37405 | − | 5.21279i | −0.173990 | − | 0.207354i | ||||
\(633\) | −5.11238 | + | 6.54840i | −0.203199 | + | 0.260275i | ||||
\(634\) | 0.463150 | − | 2.62666i | 0.0183940 | − | 0.104318i | ||||
\(635\) | −0.243244 | + | 1.37951i | −0.00965285 | + | 0.0547440i | ||||
\(636\) | 64.6201 | − | 26.1352i | 2.56235 | − | 1.03633i | ||||
\(637\) | 5.75604 | − | 11.0591i | 0.228063 | − | 0.438179i | ||||
\(638\) | 19.3810 | + | 11.1896i | 0.767303 | + | 0.443002i | ||||
\(639\) | −20.6749 | − | 10.0655i | −0.817888 | − | 0.398183i | ||||
\(640\) | −3.51074 | + | 2.02692i | −0.138774 | + | 0.0801212i | ||||
\(641\) | −9.10622 | + | 25.0191i | −0.359674 | + | 0.988196i | 0.619469 | + | 0.785021i | \(0.287348\pi\) |
−0.979143 | + | 0.203175i | \(0.934874\pi\) | |||||||
\(642\) | −4.49826 | + | 0.957825i | −0.177532 | + | 0.0378023i | ||||
\(643\) | −1.53792 | + | 1.83283i | −0.0606498 | + | 0.0722796i | −0.795516 | − | 0.605932i | \(-0.792800\pi\) |
0.734867 | + | 0.678212i | \(0.237245\pi\) | |||||||
\(644\) | 28.8790 | + | 7.06557i | 1.13799 | + | 0.278422i | ||||
\(645\) | −0.00564802 | − | 0.160089i | −0.000222390 | − | 0.00630349i | ||||
\(646\) | 1.50932 | + | 8.55977i | 0.0593834 | + | 0.336780i | ||||
\(647\) | −34.6928 | −1.36391 | −0.681957 | − | 0.731392i | \(-0.738871\pi\) | ||||
−0.681957 | + | 0.731392i | \(0.738871\pi\) | |||||||
\(648\) | 16.8928 | − | 13.2373i | 0.663612 | − | 0.520009i | ||||
\(649\) | − | 34.4989i | − | 1.35420i | ||||||
\(650\) | −3.43602 | − | 19.4866i | −0.134772 | − | 0.764329i | ||||
\(651\) | 14.0258 | − | 22.6855i | 0.549716 | − | 0.889114i | ||||
\(652\) | 47.6612 | − | 17.3473i | 1.86656 | − | 0.679371i | ||||
\(653\) | −0.604531 | + | 0.720452i | −0.0236571 | + | 0.0281934i | −0.777743 | − | 0.628582i | \(-0.783636\pi\) |
0.754086 | + | 0.656775i | \(0.228080\pi\) | |||||||
\(654\) | −0.535359 | − | 2.51422i | −0.0209342 | − | 0.0983139i | ||||
\(655\) | 2.11121 | + | 0.768419i | 0.0824919 | + | 0.0300246i | ||||
\(656\) | −3.65822 | − | 6.33623i | −0.142830 | − | 0.247388i | ||||
\(657\) | −36.1354 | + | 24.4114i | −1.40978 | + | 0.952380i | ||||
\(658\) | 55.1570 | − | 27.2028i | 2.15024 | − | 1.06048i | ||||
\(659\) | 20.8543 | + | 24.8532i | 0.812370 | + | 0.968145i | 0.999900 | − | 0.0141141i | \(-0.00449281\pi\) |
−0.187531 | + | 0.982259i | \(0.560048\pi\) | |||||||
\(660\) | 3.07025 | − | 1.24174i | 0.119509 | − | 0.0483348i | ||||
\(661\) | 10.8010 | + | 1.90450i | 0.420109 | + | 0.0740765i | 0.379706 | − | 0.925107i | \(-0.376025\pi\) |
0.0404021 | + | 0.999184i | \(0.487136\pi\) | |||||||
\(662\) | 49.1580 | + | 8.66788i | 1.91058 | + | 0.336887i | ||||
\(663\) | 3.70808 | + | 2.89493i | 0.144010 | + | 0.112430i | ||||
\(664\) | 6.27760 | + | 7.48135i | 0.243618 | + | 0.290333i | ||||
\(665\) | −1.48645 | + | 0.733099i | −0.0576419 | + | 0.0284284i | ||||
\(666\) | 8.82881 | − | 30.8734i | 0.342109 | − | 1.19632i | ||||
\(667\) | −7.22746 | − | 12.5183i | −0.279848 | − | 0.484711i | ||||
\(668\) | 11.2189 | + | 4.08334i | 0.434072 | + | 0.157989i | ||||
\(669\) | 42.8149 | + | 13.8944i | 1.65532 | + | 0.537189i | ||||
\(670\) | 5.07599 | − | 6.04934i | 0.196103 | − | 0.233706i | ||||
\(671\) | 23.4331 | − | 8.52896i | 0.904625 | − | 0.329257i | ||||
\(672\) | −29.6357 | − | 0.893753i | −1.14322 | − | 0.0344773i | ||||
\(673\) | 1.06233 | + | 6.02475i | 0.0409497 | + | 0.232237i | 0.998413 | − | 0.0563183i | \(-0.0179362\pi\) |
−0.957463 | + | 0.288555i | \(0.906825\pi\) | |||||||
\(674\) | − | 51.1771i | − | 1.97127i | ||||||
\(675\) | 24.6614 | − | 7.10031i | 0.949217 | − | 0.273291i | ||||
\(676\) | −30.0739 | −1.15669 | ||||||||
\(677\) | 8.34744 | + | 47.3407i | 0.320818 | + | 1.81945i | 0.537565 | + | 0.843222i | \(0.319344\pi\) |
−0.216747 | + | 0.976228i | \(0.569545\pi\) | |||||||
\(678\) | −36.5689 | − | 19.4272i | −1.40442 | − | 0.746096i | ||||
\(679\) | −28.3998 | − | 6.94834i | −1.08989 | − | 0.266653i | ||||
\(680\) | −0.577884 | + | 0.688695i | −0.0221608 | + | 0.0264102i | ||||
\(681\) | −11.2363 | − | 12.4702i | −0.430578 | − | 0.477859i | ||||
\(682\) | 11.3172 | − | 31.0939i | 0.433360 | − | 1.19065i | ||||
\(683\) | 23.6030 | − | 13.6272i | 0.903145 | − | 0.521431i | 0.0249260 | − | 0.999689i | \(-0.492065\pi\) |
0.878219 | + | 0.478258i | \(0.158732\pi\) | |||||||
\(684\) | −13.6590 | + | 18.8284i | −0.522264 | + | 0.719923i | ||||
\(685\) | −1.29472 | − | 0.747509i | −0.0494689 | − | 0.0285609i | ||||
\(686\) | 20.0421 | + | 36.5229i | 0.765212 | + | 1.39445i | ||||
\(687\) | 3.10535 | − | 22.1535i | 0.118476 | − | 0.845208i | ||||
\(688\) | −0.0491146 | + | 0.278543i | −0.00187248 | + | 0.0106193i | ||||
\(689\) | −4.06744 | + | 23.0676i | −0.154957 | + | 0.878805i | ||||
\(690\) | −3.50300 | − | 0.491030i | −0.133357 | − | 0.0186932i | ||||
\(691\) | 19.2964 | + | 22.9966i | 0.734070 | + | 0.874830i | 0.995916 | − | 0.0902792i | \(-0.0287759\pi\) |
−0.261847 | + | 0.965109i | \(0.584332\pi\) | |||||||
\(692\) | −16.2952 | + | 28.2241i | −0.619449 | + | 1.07292i | ||||
\(693\) | 19.7736 | + | 3.38237i | 0.751135 | + | 0.128486i | ||||
\(694\) | −1.28125 | − | 2.21920i | −0.0486357 | − | 0.0842396i | ||||
\(695\) | 0.270989 | − | 0.744535i | 0.0102792 | − | 0.0282418i | ||||
\(696\) | −10.8831 | − | 12.0781i | −0.412522 | − | 0.457821i | ||||
\(697\) | −11.3042 | − | 9.48534i | −0.428177 | − | 0.359283i | ||||
\(698\) | −50.3869 | + | 18.3393i | −1.90717 | + | 0.694154i | ||||
\(699\) | 9.20392 | − | 17.3251i | 0.348124 | − | 0.655294i | ||||
\(700\) | 36.6003 | + | 16.1030i | 1.38336 | + | 0.608636i | ||||
\(701\) | − | 15.7325i | − | 0.594210i | −0.954845 | − | 0.297105i | \(-0.903979\pi\) | ||
0.954845 | − | 0.297105i | \(-0.0960211\pi\) | |||||||
\(702\) | 2.19839 | + | 20.7016i | 0.0829729 | + | 0.781332i | ||||
\(703\) | 12.0567i | 0.454729i | ||||||||
\(704\) | −32.4613 | + | 5.72381i | −1.22343 | + | 0.215724i | ||||
\(705\) | −3.75175 | + | 2.34623i | −0.141299 | + | 0.0883642i | ||||
\(706\) | 21.1139 | + | 58.0099i | 0.794631 | + | 2.18323i | ||||
\(707\) | −20.8235 | + | 6.07029i | −0.783149 | + | 0.228297i | ||||
\(708\) | −22.3318 | + | 68.8142i | −0.839279 | + | 2.58620i | ||||
\(709\) | 47.3855 | + | 17.2469i | 1.77960 | + | 0.647722i | 0.999764 | + | 0.0217383i | \(0.00692005\pi\) |
0.779837 | + | 0.625983i | \(0.215302\pi\) | |||||||
\(710\) | 2.13138 | + | 3.69165i | 0.0799891 | + | 0.138545i | ||||
\(711\) | 2.07705 | + | 8.30516i | 0.0778954 | + | 0.311468i | ||||
\(712\) | 19.3702 | + | 11.1834i | 0.725929 | + | 0.419115i | ||||
\(713\) | −16.3724 | + | 13.7381i | −0.613151 | + | 0.514495i | ||||
\(714\) | −14.9270 | + | 4.92873i | −0.558631 | + | 0.184453i | ||||
\(715\) | −0.193253 | + | 1.09599i | −0.00722726 | + | 0.0409878i | ||||
\(716\) | −48.9617 | − | 8.63327i | −1.82979 | − | 0.322641i | ||||
\(717\) | 13.1434 | − | 5.31575i | 0.490847 | − | 0.198520i | ||||
\(718\) | −18.1186 | + | 15.2033i | −0.676181 | + | 0.567383i | ||||
\(719\) | −9.20662 | + | 15.9463i | −0.343349 | + | 0.594698i | −0.985052 | − | 0.172255i | \(-0.944895\pi\) |
0.641703 | + | 0.766953i | \(0.278228\pi\) | |||||||
\(720\) | 0.559386 | − | 0.0395201i | 0.0208471 | − | 0.00147283i | ||||
\(721\) | 1.99646 | − | 30.4765i | 0.0743520 | − | 1.13500i | ||||
\(722\) | −9.67837 | + | 26.5911i | −0.360192 | + | 0.989618i | ||||
\(723\) | −7.05800 | − | 33.1467i | −0.262490 | − | 1.23274i | ||||
\(724\) | 19.0949 | − | 22.7565i | 0.709657 | − | 0.845737i | ||||
\(725\) | −6.64922 | − | 18.2686i | −0.246946 | − | 0.678478i | ||||
\(726\) | −17.9586 | + | 0.633591i | −0.666508 | + | 0.0235148i | ||||
\(727\) | 3.73222 | − | 0.658090i | 0.138420 | − | 0.0244072i | −0.104009 | − | 0.994576i | \(-0.533167\pi\) |
0.242429 | + | 0.970169i | \(0.422056\pi\) | |||||||
\(728\) | −6.24252 | + | 9.34330i | −0.231363 | + | 0.346286i | ||||
\(729\) | −26.3978 | + | 5.67054i | −0.977697 | + | 0.210020i | ||||
\(730\) | 8.08402 | 0.299203 | ||||||||
\(731\) | 0.0990594 | + | 0.561794i | 0.00366385 | + | 0.0207787i | ||||
\(732\) | −52.2625 | + | 1.84385i | −1.93168 | + | 0.0681506i | ||||
\(733\) | 14.1333 | + | 38.8309i | 0.522025 | + | 1.43425i | 0.868262 | + | 0.496106i | \(0.165237\pi\) |
−0.346237 | + | 0.938147i | \(0.612541\pi\) | |||||||
\(734\) | 17.2666 | + | 14.4884i | 0.637323 | + | 0.534778i | ||||
\(735\) | −1.69887 | − | 2.46959i | −0.0626636 | − | 0.0910922i | ||||
\(736\) | 22.3262 | + | 8.12605i | 0.822953 | + | 0.299530i | ||||
\(737\) | 31.0801 | − | 17.9441i | 1.14485 | − | 0.660979i | ||||
\(738\) | −4.60208 | − | 65.1400i | −0.169405 | − | 2.39784i | ||||
\(739\) | 4.76788 | − | 8.25821i | 0.175389 | − | 0.303783i | −0.764907 | − | 0.644141i | \(-0.777215\pi\) |
0.940296 | + | 0.340358i | \(0.110548\pi\) | |||||||
\(740\) | −2.75766 | + | 2.31395i | −0.101374 | + | 0.0850626i | ||||
\(741\) | −2.93074 | − | 7.24633i | −0.107663 | − | 0.266201i | ||||
\(742\) | −56.5418 | − | 54.1232i | −2.07572 | − | 1.98693i | ||||
\(743\) | 39.6304 | + | 6.98792i | 1.45390 | + | 0.256362i | 0.844097 | − | 0.536191i | \(-0.180137\pi\) |
0.609803 | + | 0.792553i | \(0.291249\pi\) | |||||||
\(744\) | −14.7929 | + | 18.9480i | −0.542333 | + | 0.694669i | ||||
\(745\) | 0.893382 | + | 1.06469i | 0.0327310 | + | 0.0390073i | ||||
\(746\) | −6.17919 | − | 3.56756i | −0.226236 | − | 0.130618i | ||||
\(747\) | −2.98096 | − | 11.9195i | −0.109068 | − | 0.436112i | ||||
\(748\) | −10.2140 | + | 5.89706i | −0.373461 | + | 0.215618i | ||||
\(749\) | 1.84680 | + | 2.51853i | 0.0674805 | + | 0.0920250i | ||||
\(750\) | −9.10614 | − | 2.95515i | −0.332509 | − | 0.107907i | ||||
\(751\) | 31.1160 | + | 26.1094i | 1.13544 | + | 0.952745i | 0.999280 | − | 0.0379423i | \(-0.0120803\pi\) |
0.136157 | + | 0.990687i | \(0.456525\pi\) | |||||||
\(752\) | 7.34186 | − | 2.67222i | 0.267730 | − | 0.0974458i | ||||
\(753\) | 21.0984 | − | 13.1943i | 0.768867 | − | 0.480826i | ||||
\(754\) | 15.5310 | − | 2.73854i | 0.565606 | − | 0.0997316i | ||||
\(755\) | −1.97098 | −0.0717313 | ||||||||
\(756\) | −37.2524 | − | 19.5465i | −1.35486 | − | 0.710900i | ||||
\(757\) | −27.7285 | −1.00781 | −0.503905 | − | 0.863759i | \(-0.668104\pi\) | ||||
−0.503905 | + | 0.863759i | \(0.668104\pi\) | |||||||
\(758\) | −27.5749 | + | 4.86220i | −1.00157 | + | 0.176603i | ||||
\(759\) | −14.1965 | − | 7.54185i | −0.515299 | − | 0.273752i | ||||
\(760\) | 1.40371 | − | 0.510910i | 0.0509180 | − | 0.0185327i | ||||
\(761\) | −2.26958 | − | 1.90440i | −0.0822721 | − | 0.0690345i | 0.600724 | − | 0.799456i | \(-0.294879\pi\) |
−0.682996 | + | 0.730422i | \(0.739323\pi\) | |||||||
\(762\) | 16.4000 | − | 14.7773i | 0.594109 | − | 0.535324i | ||||
\(763\) | −1.40769 | + | 1.03223i | −0.0509617 | + | 0.0373694i | ||||
\(764\) | 28.1592 | − | 16.2577i | 1.01876 | − | 0.588183i | ||||
\(765\) | 1.03293 | − | 0.460778i | 0.0373455 | − | 0.0166595i | ||||
\(766\) | −14.9116 | − | 8.60921i | −0.538778 | − | 0.311063i | ||||
\(767\) | −15.6270 | − | 18.6235i | −0.564257 | − | 0.672455i | ||||
\(768\) | 18.5267 | + | 2.59697i | 0.668525 | + | 0.0937101i | ||||
\(769\) | 4.45428 | + | 0.785410i | 0.160626 | + | 0.0283226i | 0.253383 | − | 0.967366i | \(-0.418457\pi\) |
−0.0927570 | + | 0.995689i | \(0.529568\pi\) | |||||||
\(770\) | −2.68643 | − | 2.57152i | −0.0968124 | − | 0.0926712i | ||||
\(771\) | −25.7177 | − | 3.60496i | −0.926200 | − | 0.129830i | ||||
\(772\) | −55.6482 | + | 46.6944i | −2.00282 | + | 1.68057i | ||||
\(773\) | 19.8829 | − | 34.4382i | 0.715138 | − | 1.23866i | −0.247768 | − | 0.968819i | \(-0.579697\pi\) |
0.962906 | − | 0.269836i | \(-0.0869696\pi\) | |||||||
\(774\) | −1.48237 | + | 2.04340i | −0.0532829 | + | 0.0734485i | ||||
\(775\) | −24.8939 | + | 14.3725i | −0.894215 | + | 0.516275i | ||||
\(776\) | 24.7624 | + | 9.01277i | 0.888918 | + | 0.323540i | ||||
\(777\) | −21.5785 | + | 3.13742i | −0.774124 | + | 0.112554i | ||||
\(778\) | −18.3695 | − | 15.4138i | −0.658578 | − | 0.552613i | ||||
\(779\) | 8.38604 | + | 23.0405i | 0.300461 | + | 0.825510i | ||||
\(780\) | 1.09493 | − | 2.06106i | 0.0392050 | − | 0.0737978i | ||||
\(781\) | 3.36401 | + | 19.0783i | 0.120374 | + | 0.682674i | ||||
\(782\) | 12.5968 | 0.450460 | ||||||||
\(783\) | 5.65901 | + | 19.6553i | 0.202236 | + | 0.702423i | ||||
\(784\) | 2.02573 | + | 4.88958i | 0.0723476 | + | 0.174628i | ||||
\(785\) | −5.16640 | + | 0.910975i | −0.184397 | + | 0.0325141i | ||||
\(786\) | −18.7734 | − | 30.0198i | −0.669626 | − | 1.07077i | ||||
\(787\) | −6.12560 | − | 16.8299i | −0.218354 | − | 0.599923i | 0.781354 | − | 0.624088i | \(-0.214529\pi\) |
−0.999708 | + | 0.0241654i | \(0.992307\pi\) | |||||||
\(788\) | −29.4672 | + | 35.1177i | −1.04973 | + | 1.25102i | ||||
\(789\) | 3.49978 | + | 1.13576i | 0.124596 | + | 0.0404341i | ||||
\(790\) | 0.542790 | − | 1.49130i | 0.0193116 | − | 0.0530582i | ||||
\(791\) | −1.83810 | + | 28.0591i | −0.0653553 | + | 0.997667i | ||||
\(792\) | −17.3838 | − | 4.97121i | −0.617707 | − | 0.176644i | ||||
\(793\) | 8.78650 | − | 15.2187i | 0.312018 | − | 0.540431i | ||||
\(794\) | −11.4498 | + | 9.60754i | −0.406339 | + | 0.340959i | ||||
\(795\) | 4.43902 | + | 3.46558i | 0.157436 | + | 0.122911i | ||||
\(796\) | −21.8883 | − | 3.85950i | −0.775810 | − | 0.136796i | ||||
\(797\) | 0.867704 | − | 4.92099i | 0.0307356 | − | 0.174310i | −0.965576 | − | 0.260122i | \(-0.916237\pi\) |
0.996311 | + | 0.0858116i | \(0.0273483\pi\) | |||||||
\(798\) | 25.5742 | + | 5.30893i | 0.905318 | + | 0.187934i | ||||
\(799\) | 12.0715 | − | 10.1292i | 0.427058 | − | 0.358344i | ||||
\(800\) | 27.6734 | + | 15.9772i | 0.978402 | + | 0.564881i | ||||
\(801\) | −15.7519 | − | 23.3170i | −0.556566 | − | 0.823865i | ||||
\(802\) | −12.3970 | − | 21.4722i | −0.437752 | − | 0.758209i | ||||
\(803\) | 34.5232 | + | 12.5654i | 1.21830 | + | 0.443424i | ||||
\(804\) | −73.6102 | + | 15.6740i | −2.59603 | + | 0.552779i | ||||
\(805\) | 0.672233 | + | 2.30603i | 0.0236931 | + | 0.0812767i | ||||
\(806\) | −7.97522 | − | 21.9117i | −0.280915 | − | 0.771808i | ||||
\(807\) | 0.564479 | + | 15.9997i | 0.0198706 | + | 0.563217i | ||||
\(808\) | 19.2523 | − | 3.39470i | 0.677294 | − | 0.119425i | ||||
\(809\) | − | 20.9690i | − | 0.737230i | −0.929582 | − | 0.368615i | \(-0.879832\pi\) | ||
0.929582 | − | 0.368615i | \(-0.120168\pi\) | |||||||
\(810\) | 4.64344 | + | 1.86831i | 0.163154 | + | 0.0656458i | ||||
\(811\) | 30.1256i | 1.05785i | 0.848668 | + | 0.528927i | \(0.177405\pi\) | ||||
−0.848668 | + | 0.528927i | \(0.822595\pi\) | |||||||
\(812\) | −12.8342 | + | 29.1708i | −0.450393 | + | 1.02369i | ||||
\(813\) | −12.8515 | + | 0.453406i | −0.450720 | + | 0.0159016i | ||||
\(814\) | −25.4212 | + | 9.25254i | −0.891011 | + | 0.324302i | ||||
\(815\) | 3.13908 | + | 2.63400i | 0.109957 | + | 0.0922649i | ||||
\(816\) | −1.95325 | + | 0.415911i | −0.0683776 | + | 0.0145598i | ||||
\(817\) | 0.324188 | − | 0.890700i | 0.0113419 | − | 0.0311616i | ||||
\(818\) | −9.40075 | − | 16.2826i | −0.328690 | − | 0.569307i | ||||
\(819\) | 12.2064 | − | 7.13092i | 0.426528 | − | 0.249175i | ||||
\(820\) | −3.66043 | + | 6.34006i | −0.127828 | + | 0.221404i | ||||
\(821\) | 4.79300 | + | 5.71208i | 0.167277 | + | 0.199353i | 0.843170 | − | 0.537647i | \(-0.180687\pi\) |
−0.675893 | + | 0.736999i | \(0.736242\pi\) | |||||||
\(822\) | 8.83377 | + | 21.8418i | 0.308113 | + | 0.761819i | ||||
\(823\) | −5.40609 | + | 30.6595i | −0.188444 | + | 1.06872i | 0.733005 | + | 0.680223i | \(0.238117\pi\) |
−0.921449 | + | 0.388498i | \(0.872994\pi\) | |||||||
\(824\) | −4.78004 | + | 27.1089i | −0.166520 | + | 0.944385i | ||||
\(825\) | −17.0420 | − | 13.3048i | −0.593325 | − | 0.463213i | ||||
\(826\) | 80.7542 | − | 8.84689i | 2.80980 | − | 0.307823i | ||||
\(827\) | −13.3304 | − | 7.69630i | −0.463543 | − | 0.267627i | 0.249990 | − | 0.968248i | \(-0.419573\pi\) |
−0.713533 | + | 0.700622i | \(0.752906\pi\) | |||||||
\(828\) | 23.4354 | + | 24.2332i | 0.814437 | + | 0.842162i | ||||
\(829\) | −23.4772 | + | 13.5546i | −0.815397 | + | 0.470770i | −0.848827 | − | 0.528672i | \(-0.822690\pi\) |
0.0334297 | + | 0.999441i | \(0.489357\pi\) | |||||||
\(830\) | −0.779008 | + | 2.14031i | −0.0270397 | + | 0.0742911i | ||||
\(831\) | −3.01842 | + | 9.30112i | −0.104708 | + | 0.322652i | ||||
\(832\) | −14.9308 | + | 17.7939i | −0.517634 | + | 0.616892i | ||||
\(833\) | 7.21225 | + | 7.86968i | 0.249890 | + | 0.272668i | ||||
\(834\) | −10.5867 | + | 6.62059i | −0.366587 | + | 0.229252i | ||||
\(835\) | 0.167495 | + | 0.949913i | 0.00579642 | + | 0.0328731i | ||||
\(836\) | 19.5968 | 0.677770 | ||||||||
\(837\) | 27.1673 | − | 13.2867i | 0.939041 | − | 0.459254i | ||||
\(838\) | − | 14.5752i | − | 0.503491i | ||||||
\(839\) | 2.23816 | + | 12.6932i | 0.0772699 | + | 0.438219i | 0.998759 | + | 0.0498139i | \(0.0158628\pi\) |
−0.921489 | + | 0.388405i | \(0.873026\pi\) | |||||||
\(840\) | 1.27967 | + | 2.37934i | 0.0441530 | + | 0.0820950i | ||||
\(841\) | −12.6909 | + | 4.61910i | −0.437616 | + | 0.159279i | ||||
\(842\) | 54.4449 | − | 64.8850i | 1.87630 | − | 2.23608i | ||||
\(843\) | −2.68692 | + | 2.42106i | −0.0925424 | + | 0.0833858i | ||||
\(844\) | −13.7924 | − | 5.02001i | −0.474752 | − | 0.172796i | ||||
\(845\) | −1.21487 | − | 2.10421i | −0.0417926 | − | 0.0723870i | ||||
\(846\) | 69.3580 | + | 7.23943i | 2.38458 | + | 0.248897i | ||||
\(847\) | 5.39747 | + | 10.9440i | 0.185459 | + | 0.376041i | ||||
\(848\) | −6.39160 | − | 7.61722i | −0.219489 | − | 0.261576i | ||||
\(849\) | −3.19526 | + | 22.7949i | −0.109661 | + | 0.782318i | ||||
\(850\) | 16.6845 | + | 2.94194i | 0.572275 | + | 0.100908i | ||||
\(851\) | 17.2080 | + | 3.03423i | 0.589882 | + | 0.104012i | ||||
\(852\) | 5.63958 | − | 40.2326i | 0.193209 | − | 1.37835i | ||||
\(853\) | −20.2295 | − | 24.1086i | −0.692645 | − | 0.825462i | 0.299028 | − | 0.954244i | \(-0.403338\pi\) |
−0.991673 | + | 0.128782i | \(0.958893\pi\) | |||||||
\(854\) | 25.9736 | + | 52.6645i | 0.888797 | + | 1.80214i | ||||
\(855\) | −1.86915 | − | 0.195098i | −0.0639238 | − | 0.00667221i | ||||
\(856\) | −1.40741 | − | 2.43770i | −0.0481042 | − | 0.0833190i | ||||
\(857\) | 35.4608 | + | 12.9067i | 1.21132 | + | 0.440883i | 0.867160 | − | 0.498029i | \(-0.165943\pi\) |
0.344157 | + | 0.938912i | \(0.388165\pi\) | |||||||
\(858\) | 13.0295 | − | 11.7403i | 0.444820 | − | 0.400807i | ||||
\(859\) | −6.65307 | + | 7.92882i | −0.227000 | + | 0.270528i | −0.867508 | − | 0.497424i | \(-0.834279\pi\) |
0.640508 | + | 0.767952i | \(0.278724\pi\) | |||||||
\(860\) | 0.265943 | − | 0.0967953i | 0.00906858 | − | 0.00330069i | ||||
\(861\) | −39.0543 | + | 21.0045i | −1.33097 | + | 0.715831i | ||||
\(862\) | 14.4421 | + | 81.9054i | 0.491901 | + | 2.78971i | ||||
\(863\) | − | 11.8606i | − | 0.403740i | −0.979412 | − | 0.201870i | \(-0.935298\pi\) | ||
0.979412 | − | 0.201870i | \(-0.0647019\pi\) | |||||||
\(864\) | −27.8917 | − | 18.7695i | −0.948895 | − | 0.638550i | ||||
\(865\) | −2.63304 | −0.0895261 | ||||||||
\(866\) | −4.10626 | − | 23.2878i | −0.139536 | − | 0.791350i | ||||
\(867\) | 21.5500 | − | 13.4767i | 0.731877 | − | 0.457693i | ||||
\(868\) | 45.7711 | + | 11.1984i | 1.55357 | + | 0.380099i | ||||
\(869\) | 4.63602 | − | 5.52499i | 0.157266 | − | 0.187422i | ||||
\(870\) | 1.17040 | − | 3.60652i | 0.0396801 | − | 0.122272i | ||||
\(871\) | 8.64977 | − | 23.7651i | 0.293086 | − | 0.805248i | ||||
\(872\) | 1.36251 | − | 0.786646i | 0.0461404 | − | 0.0266392i | ||||
\(873\) | −23.0466 | − | 23.8311i | −0.780009 | − | 0.806562i | ||||
\(874\) | −18.1263 | − | 10.4652i | −0.613132 | − | 0.353992i | ||||
\(875\) | 0.707982 | + | 6.46244i | 0.0239342 | + | 0.218470i | ||||
\(876\) | −60.7288 | − | 47.4114i | −2.05184 | − | 1.60188i | ||||
\(877\) | 7.69630 | − | 43.6479i | 0.259885 | − | 1.47388i | −0.523328 | − | 0.852131i | \(-0.675310\pi\) |
0.783214 | − | 0.621753i | \(-0.213579\pi\) | |||||||
\(878\) | 0.827045 | − | 4.69040i | 0.0279114 | − | 0.158293i | ||||
\(879\) | 11.5158 | + | 28.4733i | 0.388420 | + | 0.960379i | ||||
\(880\) | −0.303680 | − | 0.361912i | −0.0102370 | − | 0.0122000i | ||||
\(881\) | 12.4173 | − | 21.5074i | 0.418350 | − | 0.724603i | −0.577424 | − | 0.816444i | \(-0.695942\pi\) |
0.995774 | + | 0.0918416i | \(0.0292753\pi\) | |||||||
\(882\) | −2.84666 | + | 47.1528i | −0.0958519 | + | 1.58772i | ||||
\(883\) | 1.05114 | + | 1.82062i | 0.0353735 | + | 0.0612687i | 0.883170 | − | 0.469053i | \(-0.155405\pi\) |
−0.847797 | + | 0.530321i | \(0.822071\pi\) | |||||||
\(884\) | −2.84262 | + | 7.81004i | −0.0956077 | + | 0.262680i | ||||
\(885\) | −5.71690 | + | 1.21731i | −0.192172 | + | 0.0409195i | ||||
\(886\) | −41.2049 | − | 34.5750i | −1.38430 | − | 1.16157i | ||||
\(887\) | 44.6083 | − | 16.2361i | 1.49780 | − | 0.545155i | 0.542311 | − | 0.840178i | \(-0.317549\pi\) |
0.955490 | + | 0.295023i | \(0.0953273\pi\) | |||||||
\(888\) | 19.6408 | − | 0.692940i | 0.659104 | − | 0.0232535i | ||||
\(889\) | −13.7213 | − | 6.03695i | −0.460198 | − | 0.202473i | ||||
\(890\) | 5.21636i | 0.174853i | ||||||||
\(891\) | 16.9260 | + | 15.1962i | 0.567042 | + | 0.509093i | ||||
\(892\) | 79.5262i | 2.66273i | ||||||||
\(893\) | −25.7856 | + | 4.54670i | −0.862882 | + | 0.152149i | ||||
\(894\) | −0.772276 | − | 21.8896i | −0.0258288 | − | 0.732097i | ||||
\(895\) | −1.37381 | − | 3.77450i | −0.0459213 | − | 0.126168i | ||||
\(896\) | −12.1412 | − | 41.6490i | −0.405608 | − | 1.39140i | ||||
\(897\) | −11.0799 | + | 2.35926i | −0.369947 | + | 0.0787735i | ||||
\(898\) | 76.2827 | + | 27.7646i | 2.54559 | + | 0.926517i | ||||
\(899\) | −11.4550 | − | 19.8406i | −0.382045 | − | 0.661722i | ||||
\(900\) | 25.3808 | + | 37.5704i | 0.846028 | + | 1.25235i | ||||
\(901\) | −17.3684 | − | 10.0276i | −0.578624 | − | 0.334069i | ||||
\(902\) | −42.1443 | + | 35.3633i | −1.40325 | + | 1.17747i | ||||
\(903\) | 1.67849 | + | 0.348435i | 0.0558565 | + | 0.0115952i | ||||
\(904\) | 4.40089 | − | 24.9587i | 0.146371 | − | 0.830114i | ||||
\(905\) | 2.36358 | + | 0.416763i | 0.0785681 | + | 0.0138537i | ||||
\(906\) | 24.4835 | + | 19.1145i | 0.813411 | + | 0.635036i | ||||
\(907\) | −13.3935 | + | 11.2385i | −0.444724 | + | 0.373167i | −0.837474 | − | 0.546478i | \(-0.815968\pi\) |
0.392750 | + | 0.919645i | \(0.371524\pi\) | |||||||
\(908\) | 14.8280 | − | 25.6828i | 0.492084 | − | 0.852315i | ||||
\(909\) | −23.6466 | − | 6.76215i | −0.784307 | − | 0.224286i | ||||
\(910\) | −2.61503 | − | 0.171306i | −0.0866876 | − | 0.00567875i | ||||
\(911\) | 11.0357 | − | 30.3204i | 0.365630 | − | 1.00456i | −0.611375 | − | 0.791341i | \(-0.709383\pi\) |
0.977005 | − | 0.213218i | \(-0.0683945\pi\) | |||||||
\(912\) | 3.15620 | + | 1.02426i | 0.104512 | + | 0.0339166i | ||||
\(913\) | −6.65357 | + | 7.92942i | −0.220201 | + | 0.262425i | ||||
\(914\) | −27.8262 | − | 76.4517i | −0.920407 | − | 2.52880i | ||||
\(915\) | −2.24021 | − | 3.58222i | −0.0740590 | − | 0.118424i | ||||
\(916\) | 38.9216 | − | 6.86292i | 1.28600 | − | 0.226757i | ||||
\(917\) | −13.3570 | + | 19.9918i | −0.441089 | + | 0.660186i | ||||
\(918\) | −17.2996 | − | 4.29348i | −0.570973 | − | 0.141706i | ||||
\(919\) | −0.597532 | −0.0197108 | −0.00985538 | − | 0.999951i | \(-0.503137\pi\) | ||||
−0.00985538 | + | 0.999951i | \(0.503137\pi\) | |||||||
\(920\) | −0.375934 | − | 2.13203i | −0.0123942 | − | 0.0702909i | ||||
\(921\) | 12.4729 | − | 23.4784i | 0.410996 | − | 0.773641i | ||||
\(922\) | −26.1609 | − | 71.8764i | −0.861562 | − | 2.36712i | ||||
\(923\) | 10.4579 | + | 8.77520i | 0.344225 | + | 0.288839i | ||||
\(924\) | 5.09951 | + | 35.0733i | 0.167761 | + | 1.15383i | ||||
\(925\) | 22.0835 | + | 8.03774i | 0.726101 | + | 0.264279i | ||||
\(926\) | −20.0344 | + | 11.5669i | −0.658372 | + | 0.380111i | ||||
\(927\) | 20.3355 | − | 28.0318i | 0.667906 | − | 0.920685i | ||||
\(928\) | −12.7340 | + | 22.0559i | −0.418013 | + | 0.724021i | ||||
\(929\) | 1.87360 | − | 1.57214i | 0.0614710 | − | 0.0515803i | −0.611535 | − | 0.791218i | \(-0.709447\pi\) |
0.673006 | + | 0.739637i | \(0.265003\pi\) | |||||||
\(930\) | −5.55199 | − | 0.778247i | −0.182057 | − | 0.0255197i | ||||
\(931\) | −3.84015 | − | 17.3161i | −0.125856 | − | 0.567511i | ||||
\(932\) | 34.1334 | + | 6.01865i | 1.11808 | + | 0.197147i | ||||
\(933\) | −37.4140 | − | 5.24449i | −1.22488 | − | 0.171697i | ||||
\(934\) | −26.6637 | − | 31.7765i | −0.872461 | − | 1.03976i | ||||
\(935\) | −0.825211 | − | 0.476436i | −0.0269873 | − | 0.0155811i | ||||
\(936\) | −11.6361 | + | 5.19074i | −0.380337 | + | 0.169665i | ||||
\(937\) | −7.87078 | + | 4.54420i | −0.257127 | + | 0.148452i | −0.623023 | − | 0.782203i | \(-0.714096\pi\) |
0.365896 | + | 0.930656i | \(0.380763\pi\) | |||||||
\(938\) | 49.9732 | + | 68.1499i | 1.63168 | + | 2.22517i | ||||
\(939\) | −30.2662 | + | 27.2715i | −0.987700 | + | 0.889972i | ||||
\(940\) | −5.98876 | − | 5.02517i | −0.195332 | − | 0.163903i | ||||
\(941\) | −45.3649 | + | 16.5115i | −1.47885 | + | 0.538259i | −0.950489 | − | 0.310758i | \(-0.899417\pi\) |
−0.528365 | + | 0.849017i | \(0.677195\pi\) | |||||||
\(942\) | 73.0117 | + | 38.7874i | 2.37885 | + | 1.26376i | ||||
\(943\) | 34.9950 | − | 6.17056i | 1.13959 | − | 0.200941i | ||||
\(944\) | 10.3205 | 0.335902 | ||||||||
\(945\) | −0.137218 | − | 3.39608i | −0.00446372 | − | 0.110474i | ||||
\(946\) | 2.12679 | 0.0691479 | ||||||||
\(947\) | −18.0642 | + | 3.18520i | −0.587006 | + | 0.103505i | −0.459260 | − | 0.888302i | \(-0.651885\pi\) |
−0.127746 | + | 0.991807i | \(0.540774\pi\) | |||||||
\(948\) | −12.8238 | + | 8.01960i | −0.416497 | + | 0.260464i | ||||
\(949\) | 24.3283 | − | 8.85479i | 0.789731 | − | 0.287439i | ||||
\(950\) | −21.5644 | − | 18.0947i | −0.699641 | − | 0.587068i | ||||
\(951\) | −1.95340 | − | 0.633922i | −0.0633433 | − | 0.0205563i | ||||
\(952\) | −5.68927 | − | 7.75862i | −0.184390 | − | 0.251458i | ||||
\(953\) | 49.7352 | − | 28.7146i | 1.61108 | − | 0.930159i | 0.621962 | − | 0.783047i | \(-0.286336\pi\) |
0.989120 | − | 0.147111i | \(-0.0469975\pi\) | |||||||
\(954\) | −21.5326 | − | 86.0989i | −0.697144 | − | 2.78756i | ||||
\(955\) | 2.27504 | + | 1.31349i | 0.0736185 | + | 0.0425037i | ||||
\(956\) | 16.1006 | + | 19.1880i | 0.520731 | + | 0.620583i | ||||
\(957\) | 10.6040 | − | 13.5826i | 0.342779 | − | 0.439063i | ||||
\(958\) | 18.5529 | + | 3.27138i | 0.599418 | + | 0.105694i | ||||
\(959\) | 11.0632 | − | 11.5575i | 0.357248 | − | 0.373212i | ||||
\(960\) | 2.09392 | + | 5.17729i | 0.0675811 | + | 0.167096i | ||||
\(961\) | −2.20167 | + | 1.84742i | −0.0710216 | + | 0.0595942i | ||||
\(962\) | −9.53194 | + | 16.5098i | −0.307322 | + | 0.532297i | ||||
\(963\) | 0.249563 | + | 3.53244i | 0.00804206 | + | 0.113831i | ||||
\(964\) | 51.8527 | − | 29.9372i | 1.67006 | − | 0.964212i | ||||
\(965\) | −5.51508 | − | 2.00732i | −0.177537 | − | 0.0646180i | ||||
\(966\) | 14.0132 | − | 35.1648i | 0.450869 | − | 1.13141i | ||||
\(967\) | 26.9611 | + | 22.6231i | 0.867012 | + | 0.727509i | 0.963467 | − | 0.267828i | \(-0.0863060\pi\) |
−0.0964551 | + | 0.995337i | \(0.530750\pi\) | |||||||
\(968\) | −3.76159 | − | 10.3349i | −0.120902 | − | 0.332176i | ||||
\(969\) | 6.68841 | − | 0.235971i | 0.214863 | − | 0.00758047i | ||||
\(970\) | 1.06719 | + | 6.05232i | 0.0342653 | + | 0.194328i | ||||
\(971\) | −46.8295 | −1.50283 | −0.751416 | − | 0.659829i | \(-0.770629\pi\) | ||||
−0.751416 | + | 0.659829i | \(0.770629\pi\) | |||||||
\(972\) | −23.9251 | − | 41.2681i | −0.767399 | − | 1.32368i | ||||
\(973\) | 7.05024 | + | 4.71046i | 0.226020 | + | 0.151010i | ||||
\(974\) | −18.7537 | + | 3.30678i | −0.600907 | + | 0.105956i | ||||
\(975\) | −15.2264 | + | 0.537196i | −0.487635 | + | 0.0172040i | ||||
\(976\) | 2.55147 | + | 7.01009i | 0.0816704 | + | 0.224388i | ||||
\(977\) | 14.9057 | − | 17.7639i | 0.476875 | − | 0.568317i | −0.472954 | − | 0.881087i | \(-0.656812\pi\) |
0.949829 | + | 0.312770i | \(0.101257\pi\) | |||||||
\(978\) | −13.4493 | − | 63.1622i | −0.430060 | − | 2.01971i | ||||
\(979\) | −8.10805 | + | 22.2767i | −0.259134 | + | 0.711966i | ||||
\(980\) | 3.22358 | − | 4.20166i | 0.102974 | − | 0.134217i | ||||
\(981\) | −1.97439 | + | 0.139489i | −0.0630375 | + | 0.00445354i | ||||
\(982\) | −23.2670 | + | 40.2996i | −0.742480 | + | 1.28601i | ||||
\(983\) | −21.4681 | + | 18.0139i | −0.684727 | + | 0.574554i | −0.917383 | − | 0.398005i | \(-0.869703\pi\) |
0.232657 | + | 0.972559i | \(0.425258\pi\) | |||||||
\(984\) | 37.0517 | − | 14.9854i | 1.18117 | − | 0.477716i | ||||
\(985\) | −3.64747 | − | 0.643148i | −0.116218 | − | 0.0204924i | ||||
\(986\) | −2.34475 | + | 13.2977i | −0.0746719 | + | 0.423486i | ||||
\(987\) | −14.8474 | − | 44.9665i | −0.472598 | − | 1.43130i | ||||
\(988\) | 10.5789 | − | 8.87676i | 0.336560 | − | 0.282407i | ||||
\(989\) | −1.18967 | − | 0.686853i | −0.0378291 | − | 0.0218407i | ||||
\(990\) | −1.02306 | − | 4.09076i | −0.0325151 | − | 0.130013i | ||||
\(991\) | −24.8196 | − | 42.9887i | −0.788419 | − | 1.36558i | −0.926935 | − | 0.375222i | \(-0.877566\pi\) |
0.138515 | − | 0.990360i | \(-0.455767\pi\) | |||||||
\(992\) | 35.3853 | + | 12.8792i | 1.12348 | + | 0.408915i | ||||
\(993\) | 11.8639 | − | 36.5579i | 0.376489 | − | 1.16013i | ||||
\(994\) | −43.7953 | + | 12.7668i | −1.38910 | + | 0.404939i | ||||
\(995\) | −0.614159 | − | 1.68739i | −0.0194702 | − | 0.0534938i | ||||
\(996\) | 18.4046 | − | 11.5097i | 0.583172 | − | 0.364698i | ||||
\(997\) | 19.3030 | − | 3.40365i | 0.611333 | − | 0.107795i | 0.140595 | − | 0.990067i | \(-0.455099\pi\) |
0.470739 | + | 0.882273i | \(0.343987\pi\) | |||||||
\(998\) | 50.8417i | 1.60937i | ||||||||
\(999\) | −22.5982 | − | 10.0322i | −0.714976 | − | 0.317405i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 189.2.be.a.41.21 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.be.a.314.1 | 132 | |||
7.6 | odd | 2 | inner | 189.2.be.a.41.22 | yes | 132 | |
21.20 | even | 2 | 567.2.be.a.314.2 | 132 | |||
27.2 | odd | 18 | inner | 189.2.be.a.83.22 | yes | 132 | |
27.25 | even | 9 | 567.2.be.a.251.2 | 132 | |||
189.83 | even | 18 | inner | 189.2.be.a.83.21 | yes | 132 | |
189.160 | odd | 18 | 567.2.be.a.251.1 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.be.a.41.21 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.be.a.41.22 | yes | 132 | 7.6 | odd | 2 | inner | |
189.2.be.a.83.21 | yes | 132 | 189.83 | even | 18 | inner | |
189.2.be.a.83.22 | yes | 132 | 27.2 | odd | 18 | inner | |
567.2.be.a.251.1 | 132 | 189.160 | odd | 18 | |||
567.2.be.a.251.2 | 132 | 27.25 | even | 9 | |||
567.2.be.a.314.1 | 132 | 3.2 | odd | 2 | |||
567.2.be.a.314.2 | 132 | 21.20 | even | 2 |