Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.14 | ||
Character | \(\chi\) | \(=\) | 112.3 |
Dual form | 112.2.v.a.75.14 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41041 | + | 0.103712i | 0.997307 | + | 0.0733356i | ||||
\(3\) | −0.885661 | + | 0.237312i | −0.511337 | + | 0.137012i | −0.505256 | − | 0.862969i | \(-0.668602\pi\) |
−0.00608034 | + | 0.999982i | \(0.501935\pi\) | |||||||
\(4\) | 1.97849 | + | 0.292553i | 0.989244 | + | 0.146276i | ||||
\(5\) | 0.818796 | − | 3.05579i | 0.366177 | − | 1.36659i | −0.499642 | − | 0.866232i | \(-0.666535\pi\) |
0.865818 | − | 0.500358i | \(-0.166798\pi\) | |||||||
\(6\) | −1.27375 | + | 0.242853i | −0.520008 | + | 0.0991442i | ||||
\(7\) | −0.640837 | + | 2.56697i | −0.242214 | + | 0.970223i | ||||
\(8\) | 2.76013 | + | 0.617811i | 0.975853 | + | 0.218429i | ||||
\(9\) | −1.87000 | + | 1.07964i | −0.623332 | + | 0.359881i | ||||
\(10\) | 1.47176 | − | 4.22498i | 0.465411 | − | 1.33606i | ||||
\(11\) | −1.19363 | + | 0.319833i | −0.359894 | + | 0.0964334i | −0.434235 | − | 0.900799i | \(-0.642981\pi\) |
0.0743409 | + | 0.997233i | \(0.476315\pi\) | |||||||
\(12\) | −1.82170 | + | 0.210417i | −0.525878 | + | 0.0607421i | ||||
\(13\) | −0.430348 | + | 0.430348i | −0.119357 | + | 0.119357i | −0.764262 | − | 0.644905i | \(-0.776897\pi\) |
0.644905 | + | 0.764262i | \(0.276897\pi\) | |||||||
\(14\) | −1.17007 | + | 3.55400i | −0.312713 | + | 0.949848i | ||||
\(15\) | 2.90070i | 0.748959i | ||||||||
\(16\) | 3.82883 | + | 1.15762i | 0.957207 | + | 0.289406i | ||||
\(17\) | −5.14136 | − | 2.96837i | −1.24696 | − | 0.719934i | −0.276461 | − | 0.961025i | \(-0.589162\pi\) |
−0.970503 | + | 0.241091i | \(0.922495\pi\) | |||||||
\(18\) | −2.74943 | + | 1.32879i | −0.648046 | + | 0.313200i | ||||
\(19\) | −0.0537031 | + | 0.200423i | −0.0123203 | + | 0.0459801i | −0.971812 | − | 0.235756i | \(-0.924243\pi\) |
0.959492 | + | 0.281736i | \(0.0909102\pi\) | |||||||
\(20\) | 2.51396 | − | 5.80630i | 0.562138 | − | 1.29833i | ||||
\(21\) | −0.0416088 | − | 2.42554i | −0.00907979 | − | 0.529297i | ||||
\(22\) | −1.71668 | + | 0.327300i | −0.365997 | + | 0.0697807i | ||||
\(23\) | −1.77104 | − | 3.06753i | −0.369287 | − | 0.639625i | 0.620167 | − | 0.784470i | \(-0.287065\pi\) |
−0.989454 | + | 0.144845i | \(0.953732\pi\) | |||||||
\(24\) | −2.59115 | + | 0.107841i | −0.528917 | + | 0.0220129i | ||||
\(25\) | −4.33729 | − | 2.50414i | −0.867459 | − | 0.500828i | ||||
\(26\) | −0.651598 | + | 0.562333i | −0.127789 | + | 0.110283i | ||||
\(27\) | 3.34502 | − | 3.34502i | 0.643749 | − | 0.643749i | ||||
\(28\) | −2.01886 | + | 4.89124i | −0.381529 | + | 0.924357i | ||||
\(29\) | 1.84275 | + | 1.84275i | 0.342190 | + | 0.342190i | 0.857190 | − | 0.515000i | \(-0.172208\pi\) |
−0.515000 | + | 0.857190i | \(0.672208\pi\) | |||||||
\(30\) | −0.300839 | + | 4.09117i | −0.0549253 | + | 0.746942i | ||||
\(31\) | −3.60177 | + | 6.23845i | −0.646897 | + | 1.12046i | 0.336963 | + | 0.941518i | \(0.390600\pi\) |
−0.983860 | + | 0.178940i | \(0.942733\pi\) | |||||||
\(32\) | 5.28014 | + | 2.02981i | 0.933405 | + | 0.358824i | ||||
\(33\) | 0.981256 | − | 0.566528i | 0.170815 | − | 0.0986199i | ||||
\(34\) | −6.94355 | − | 4.71982i | −1.19081 | − | 0.809443i | ||||
\(35\) | 7.31940 | + | 4.06009i | 1.23720 | + | 0.686280i | ||||
\(36\) | −4.01562 | + | 1.58899i | −0.669270 | + | 0.264831i | ||||
\(37\) | 11.1964 | + | 3.00006i | 1.84067 | + | 0.493207i | 0.998912 | − | 0.0466438i | \(-0.0148526\pi\) |
0.841761 | + | 0.539851i | \(0.181519\pi\) | |||||||
\(38\) | −0.0965294 | + | 0.277107i | −0.0156591 | + | 0.0449528i | ||||
\(39\) | 0.279016 | − | 0.483270i | 0.0446783 | − | 0.0773851i | ||||
\(40\) | 4.14788 | − | 7.92851i | 0.655838 | − | 1.25361i | ||||
\(41\) | 9.61218 | 1.50117 | 0.750585 | − | 0.660774i | \(-0.229772\pi\) | ||||
0.750585 | + | 0.660774i | \(0.229772\pi\) | |||||||
\(42\) | 0.192873 | − | 3.42532i | 0.0297610 | − | 0.528538i | ||||
\(43\) | −7.30761 | − | 7.30761i | −1.11440 | − | 1.11440i | −0.992548 | − | 0.121852i | \(-0.961117\pi\) |
−0.121852 | − | 0.992548i | \(-0.538883\pi\) | |||||||
\(44\) | −2.45516 | + | 0.283586i | −0.370129 | + | 0.0427521i | ||||
\(45\) | 1.76802 | + | 6.59833i | 0.263560 | + | 0.983620i | ||||
\(46\) | −2.17974 | − | 4.51014i | −0.321386 | − | 0.664984i | ||||
\(47\) | 2.87631 | + | 4.98192i | 0.419553 | + | 0.726688i | 0.995895 | − | 0.0905214i | \(-0.0288534\pi\) |
−0.576341 | + | 0.817209i | \(0.695520\pi\) | |||||||
\(48\) | −3.66576 | − | 0.116635i | −0.529107 | − | 0.0168348i | ||||
\(49\) | −6.17866 | − | 3.29002i | −0.882665 | − | 0.470002i | ||||
\(50\) | −5.85763 | − | 3.98168i | −0.828395 | − | 0.563095i | ||||
\(51\) | 5.25793 | + | 1.40886i | 0.736258 | + | 0.197280i | ||||
\(52\) | −0.977338 | + | 0.725539i | −0.135532 | + | 0.100614i | ||||
\(53\) | −1.33537 | − | 4.98367i | −0.183427 | − | 0.684560i | −0.994962 | − | 0.100256i | \(-0.968034\pi\) |
0.811534 | − | 0.584305i | \(-0.198633\pi\) | |||||||
\(54\) | 5.06475 | − | 4.37091i | 0.689226 | − | 0.594806i | ||||
\(55\) | 3.90937i | 0.527140i | ||||||||
\(56\) | −3.35469 | + | 6.68925i | −0.448290 | + | 0.893888i | ||||
\(57\) | − | 0.190251i | − | 0.0251993i | ||||||
\(58\) | 2.40791 | + | 2.79014i | 0.316173 | + | 0.366363i | ||||
\(59\) | −0.369264 | − | 1.37811i | −0.0480740 | − | 0.179415i | 0.937714 | − | 0.347408i | \(-0.112938\pi\) |
−0.985788 | + | 0.167993i | \(0.946271\pi\) | |||||||
\(60\) | −0.848609 | + | 5.73901i | −0.109555 | + | 0.740903i | ||||
\(61\) | −1.28402 | − | 0.344053i | −0.164403 | − | 0.0440515i | 0.175679 | − | 0.984448i | \(-0.443788\pi\) |
−0.340081 | + | 0.940396i | \(0.610455\pi\) | |||||||
\(62\) | −5.72696 | + | 8.42519i | −0.727324 | + | 1.07000i | ||||
\(63\) | −1.57305 | − | 5.49210i | −0.198185 | − | 0.691940i | ||||
\(64\) | 7.23662 | + | 3.41048i | 0.904577 | + | 0.426309i | ||||
\(65\) | 0.962686 | + | 1.66742i | 0.119407 | + | 0.206818i | ||||
\(66\) | 1.44272 | − | 0.697266i | 0.177587 | − | 0.0858276i | ||||
\(67\) | −2.11725 | − | 7.90167i | −0.258663 | − | 0.965343i | −0.966016 | − | 0.258482i | \(-0.916778\pi\) |
0.707353 | − | 0.706860i | \(-0.249889\pi\) | |||||||
\(68\) | −9.30372 | − | 7.37699i | −1.12824 | − | 0.894592i | ||||
\(69\) | 2.29651 | + | 2.29651i | 0.276467 | + | 0.276467i | ||||
\(70\) | 9.90224 | + | 6.48548i | 1.18354 | + | 0.775163i | ||||
\(71\) | 13.7963 | 1.63732 | 0.818661 | − | 0.574277i | \(-0.194717\pi\) | ||||
0.818661 | + | 0.574277i | \(0.194717\pi\) | |||||||
\(72\) | −5.82845 | + | 1.82465i | −0.686889 | + | 0.215037i | ||||
\(73\) | −1.12655 | + | 1.95123i | −0.131852 | + | 0.228375i | −0.924391 | − | 0.381447i | \(-0.875426\pi\) |
0.792538 | + | 0.609822i | \(0.208759\pi\) | |||||||
\(74\) | 15.4803 | + | 5.39250i | 1.79955 | + | 0.626865i | ||||
\(75\) | 4.43564 | + | 1.18853i | 0.512183 | + | 0.137239i | ||||
\(76\) | −0.164885 | + | 0.380823i | −0.0189136 | + | 0.0436833i | ||||
\(77\) | −0.0560775 | − | 3.26898i | −0.00639063 | − | 0.372535i | ||||
\(78\) | 0.443647 | − | 0.652669i | 0.0502331 | − | 0.0739002i | ||||
\(79\) | 1.47554 | − | 0.851902i | 0.166011 | − | 0.0958465i | −0.414693 | − | 0.909962i | \(-0.636111\pi\) |
0.580704 | + | 0.814115i | \(0.302778\pi\) | |||||||
\(80\) | 6.67248 | − | 10.7522i | 0.746006 | − | 1.20214i | ||||
\(81\) | 1.07019 | − | 1.85362i | 0.118910 | − | 0.205958i | ||||
\(82\) | 13.5571 | + | 0.996900i | 1.49713 | + | 0.110089i | ||||
\(83\) | −7.78261 | − | 7.78261i | −0.854253 | − | 0.854253i | 0.136401 | − | 0.990654i | \(-0.456446\pi\) |
−0.990654 | + | 0.136401i | \(0.956446\pi\) | |||||||
\(84\) | 0.627276 | − | 4.81108i | 0.0684415 | − | 0.524932i | ||||
\(85\) | −13.2804 | + | 13.2804i | −1.44046 | + | 1.44046i | ||||
\(86\) | −9.54881 | − | 11.0646i | −1.02967 | − | 1.19313i | ||||
\(87\) | −2.06936 | − | 1.19474i | −0.221858 | − | 0.128090i | ||||
\(88\) | −3.49218 | + | 0.145341i | −0.372268 | + | 0.0154934i | ||||
\(89\) | 3.05474 | + | 5.29096i | 0.323801 | + | 0.560840i | 0.981269 | − | 0.192642i | \(-0.0617057\pi\) |
−0.657468 | + | 0.753483i | \(0.728372\pi\) | |||||||
\(90\) | 1.80929 | + | 9.48968i | 0.190716 | + | 1.00030i | ||||
\(91\) | −0.828908 | − | 1.38047i | −0.0868931 | − | 0.144713i | ||||
\(92\) | −2.60657 | − | 6.58720i | −0.271753 | − | 0.686763i | ||||
\(93\) | 1.70949 | − | 6.37989i | 0.177266 | − | 0.661564i | ||||
\(94\) | 3.54008 | + | 7.32484i | 0.365132 | + | 0.755499i | ||||
\(95\) | 0.568477 | + | 0.328210i | 0.0583245 | + | 0.0336737i | ||||
\(96\) | −5.15811 | − | 0.544686i | −0.526448 | − | 0.0555918i | ||||
\(97\) | 10.6315i | 1.07946i | 0.841837 | + | 0.539732i | \(0.181474\pi\) | ||||
−0.841837 | + | 0.539732i | \(0.818526\pi\) | |||||||
\(98\) | −8.37320 | − | 5.28106i | −0.845821 | − | 0.533467i | ||||
\(99\) | 1.88679 | − | 1.88679i | 0.189629 | − | 0.189629i | ||||
\(100\) | −7.84869 | − | 6.22329i | −0.784869 | − | 0.622329i | ||||
\(101\) | 1.23182 | − | 0.330064i | 0.122570 | − | 0.0328426i | −0.197012 | − | 0.980401i | \(-0.563124\pi\) |
0.319583 | + | 0.947558i | \(0.396457\pi\) | |||||||
\(102\) | 7.26970 | + | 2.53237i | 0.719808 | + | 0.250742i | ||||
\(103\) | −8.50599 | + | 4.91094i | −0.838120 | + | 0.483889i | −0.856625 | − | 0.515940i | \(-0.827443\pi\) |
0.0185046 | + | 0.999829i | \(0.494109\pi\) | |||||||
\(104\) | −1.45369 | + | 0.921943i | −0.142546 | + | 0.0904039i | ||||
\(105\) | −7.44602 | − | 1.85888i | −0.726657 | − | 0.181408i | ||||
\(106\) | −1.36655 | − | 7.16750i | −0.132731 | − | 0.696169i | ||||
\(107\) | −2.68932 | + | 10.0367i | −0.259986 | + | 0.970282i | 0.705262 | + | 0.708947i | \(0.250829\pi\) |
−0.965248 | + | 0.261335i | \(0.915837\pi\) | |||||||
\(108\) | 7.59667 | − | 5.63948i | 0.730990 | − | 0.542660i | ||||
\(109\) | −0.0392146 | + | 0.0105075i | −0.00375608 | + | 0.00100644i | −0.260697 | − | 0.965421i | \(-0.583952\pi\) |
0.256941 | + | 0.966427i | \(0.417286\pi\) | |||||||
\(110\) | −0.405450 | + | 5.51380i | −0.0386581 | + | 0.525721i | ||||
\(111\) | −10.6281 | −1.00878 | ||||||||
\(112\) | −5.42523 | + | 9.08663i | −0.512636 | + | 0.858606i | ||||
\(113\) | −11.0778 | −1.04211 | −0.521055 | − | 0.853523i | \(-0.674461\pi\) | ||||
−0.521055 | + | 0.853523i | \(0.674461\pi\) | |||||||
\(114\) | 0.0197313 | − | 0.268331i | 0.00184801 | − | 0.0251315i | ||||
\(115\) | −10.8239 | + | 2.90024i | −1.00933 | + | 0.270449i | ||||
\(116\) | 3.10675 | + | 4.18495i | 0.288455 | + | 0.388563i | ||||
\(117\) | 0.340127 | − | 1.26937i | 0.0314448 | − | 0.117354i | ||||
\(118\) | −0.377885 | − | 1.98199i | −0.0347871 | − | 0.182457i | ||||
\(119\) | 10.9145 | − | 11.2955i | 1.00053 | − | 1.03545i | ||||
\(120\) | −1.79209 | + | 8.00632i | −0.163594 | + | 0.730874i | ||||
\(121\) | −8.20381 | + | 4.73647i | −0.745801 | + | 0.430588i | ||||
\(122\) | −1.77531 | − | 0.618424i | −0.160729 | − | 0.0559895i | ||||
\(123\) | −8.51314 | + | 2.28109i | −0.767604 | + | 0.205679i | ||||
\(124\) | −8.95113 | + | 11.2890i | −0.803835 | + | 1.01378i | ||||
\(125\) | −0.0185146 | + | 0.0185146i | −0.00165600 | + | 0.00165600i | ||||
\(126\) | −1.64904 | − | 7.90923i | −0.146908 | − | 0.704610i | ||||
\(127\) | − | 18.0882i | − | 1.60506i | −0.596609 | − | 0.802532i | \(-0.703486\pi\) | ||
0.596609 | − | 0.802532i | \(-0.296514\pi\) | |||||||
\(128\) | 9.85286 | + | 5.56068i | 0.870878 | + | 0.491499i | ||||
\(129\) | 8.20626 | + | 4.73788i | 0.722521 | + | 0.417147i | ||||
\(130\) | 1.18485 | + | 2.45158i | 0.103918 | + | 0.215018i | ||||
\(131\) | 0.712687 | − | 2.65978i | 0.0622678 | − | 0.232386i | −0.927778 | − | 0.373133i | \(-0.878284\pi\) |
0.990046 | + | 0.140746i | \(0.0449502\pi\) | |||||||
\(132\) | 2.10714 | − | 0.833800i | 0.183403 | − | 0.0725730i | ||||
\(133\) | −0.480064 | − | 0.266292i | −0.0416268 | − | 0.0230905i | ||||
\(134\) | −2.16668 | − | 11.3641i | −0.187172 | − | 0.981713i | ||||
\(135\) | −7.48278 | − | 12.9606i | −0.644016 | − | 1.11547i | ||||
\(136\) | −12.3569 | − | 11.3695i | −1.05960 | − | 0.974923i | ||||
\(137\) | −1.69173 | − | 0.976720i | −0.144534 | − | 0.0834468i | 0.425989 | − | 0.904728i | \(-0.359926\pi\) |
−0.570523 | + | 0.821281i | \(0.693260\pi\) | |||||||
\(138\) | 3.00083 | + | 3.47718i | 0.255447 | + | 0.295997i | ||||
\(139\) | 5.22260 | − | 5.22260i | 0.442975 | − | 0.442975i | −0.450035 | − | 0.893011i | \(-0.648589\pi\) |
0.893011 | + | 0.450035i | \(0.148589\pi\) | |||||||
\(140\) | 13.2936 | + | 10.1741i | 1.12351 | + | 0.859872i | ||||
\(141\) | −3.72971 | − | 3.72971i | −0.314098 | − | 0.314098i | ||||
\(142\) | 19.4584 | + | 1.43085i | 1.63291 | + | 0.120074i | ||||
\(143\) | 0.376039 | − | 0.651318i | 0.0314460 | − | 0.0544660i | ||||
\(144\) | −8.40971 | + | 1.96901i | −0.700810 | + | 0.164085i | ||||
\(145\) | 7.13988 | − | 4.12221i | 0.592935 | − | 0.342331i | ||||
\(146\) | −1.79125 | + | 2.63520i | −0.148245 | + | 0.218090i | ||||
\(147\) | 6.25296 | + | 1.44757i | 0.515735 | + | 0.119393i | ||||
\(148\) | 21.2742 | + | 9.21111i | 1.74873 | + | 0.757148i | ||||
\(149\) | −7.37254 | − | 1.97547i | −0.603982 | − | 0.161836i | −0.0561464 | − | 0.998423i | \(-0.517881\pi\) |
−0.547835 | + | 0.836586i | \(0.684548\pi\) | |||||||
\(150\) | 6.13278 | + | 2.13633i | 0.500740 | + | 0.174431i | ||||
\(151\) | −7.05310 | + | 12.2163i | −0.573973 | + | 0.994151i | 0.422179 | + | 0.906512i | \(0.361265\pi\) |
−0.996152 | + | 0.0876383i | \(0.972068\pi\) | |||||||
\(152\) | −0.272051 | + | 0.520014i | −0.0220662 | + | 0.0421787i | ||||
\(153\) | 12.8191 | 1.03636 | ||||||||
\(154\) | 0.259941 | − | 4.61641i | 0.0209467 | − | 0.372001i | ||||
\(155\) | 16.1143 | + | 16.1143i | 1.29433 | + | 1.29433i | ||||
\(156\) | 0.693411 | − | 0.874516i | 0.0555173 | − | 0.0700173i | ||||
\(157\) | 3.78295 | + | 14.1182i | 0.301912 | + | 1.12675i | 0.935571 | + | 0.353139i | \(0.114886\pi\) |
−0.633658 | + | 0.773613i | \(0.718448\pi\) | |||||||
\(158\) | 2.16946 | − | 1.04850i | 0.172593 | − | 0.0834139i | ||||
\(159\) | 2.36537 | + | 4.09695i | 0.187586 | + | 0.324909i | ||||
\(160\) | 10.5260 | − | 14.4730i | 0.832157 | − | 1.14419i | ||||
\(161\) | 9.00921 | − | 2.58042i | 0.710025 | − | 0.203365i | ||||
\(162\) | 1.70165 | − | 2.50337i | 0.133694 | − | 0.196683i | ||||
\(163\) | 0.403234 | + | 0.108046i | 0.0315837 | + | 0.00846284i | 0.274576 | − | 0.961565i | \(-0.411462\pi\) |
−0.242993 | + | 0.970028i | \(0.578129\pi\) | |||||||
\(164\) | 19.0176 | + | 2.81207i | 1.48502 | + | 0.219586i | ||||
\(165\) | −0.927743 | − | 3.46238i | −0.0722247 | − | 0.269546i | ||||
\(166\) | −10.1695 | − | 11.7838i | −0.789305 | − | 0.914599i | ||||
\(167\) | − | 3.16944i | − | 0.245259i | −0.992453 | − | 0.122629i | \(-0.960867\pi\) | ||
0.992453 | − | 0.122629i | \(-0.0391326\pi\) | |||||||
\(168\) | 1.38368 | − | 6.72052i | 0.106753 | − | 0.518499i | ||||
\(169\) | 12.6296i | 0.971508i | ||||||||
\(170\) | −20.1081 | + | 17.3534i | −1.54222 | + | 1.33095i | ||||
\(171\) | −0.115960 | − | 0.432770i | −0.00886771 | − | 0.0330947i | ||||
\(172\) | −12.3202 | − | 16.5959i | −0.939404 | − | 1.26542i | ||||
\(173\) | −22.0884 | − | 5.91858i | −1.67935 | − | 0.449981i | −0.711744 | − | 0.702438i | \(-0.752095\pi\) |
−0.967608 | + | 0.252457i | \(0.918761\pi\) | |||||||
\(174\) | −2.79472 | − | 1.89969i | −0.211867 | − | 0.144015i | ||||
\(175\) | 9.20754 | − | 9.52896i | 0.696025 | − | 0.720321i | ||||
\(176\) | −4.94047 | − | 0.157192i | −0.372402 | − | 0.0118488i | ||||
\(177\) | 0.654085 | + | 1.13291i | 0.0491640 | + | 0.0851546i | ||||
\(178\) | 3.75968 | + | 7.77921i | 0.281800 | + | 0.583076i | ||||
\(179\) | 3.56007 | + | 13.2864i | 0.266092 | + | 0.993069i | 0.961579 | + | 0.274530i | \(0.0885223\pi\) |
−0.695486 | + | 0.718539i | \(0.744811\pi\) | |||||||
\(180\) | 1.56764 | + | 13.5719i | 0.116845 | + | 1.01159i | ||||
\(181\) | 5.01349 | + | 5.01349i | 0.372650 | + | 0.372650i | 0.868441 | − | 0.495792i | \(-0.165122\pi\) |
−0.495792 | + | 0.868441i | \(0.665122\pi\) | |||||||
\(182\) | −1.02592 | − | 2.03300i | −0.0760465 | − | 0.150696i | ||||
\(183\) | 1.21886 | 0.0901007 | ||||||||
\(184\) | −2.99314 | − | 9.56095i | −0.220658 | − | 0.704843i | ||||
\(185\) | 18.3351 | − | 31.7573i | 1.34802 | − | 2.33484i | ||||
\(186\) | 3.07274 | − | 8.82094i | 0.225304 | − | 0.646783i | ||||
\(187\) | 7.08629 | + | 1.89877i | 0.518201 | + | 0.138851i | ||||
\(188\) | 4.23328 | + | 10.6981i | 0.308743 | + | 0.780242i | ||||
\(189\) | 6.44295 | + | 10.7302i | 0.468656 | + | 0.780505i | ||||
\(190\) | 0.767744 | + | 0.521868i | 0.0556980 | + | 0.0378603i | ||||
\(191\) | −4.65280 | + | 2.68629i | −0.336665 | + | 0.194373i | −0.658796 | − | 0.752322i | \(-0.728934\pi\) |
0.322132 | + | 0.946695i | \(0.395601\pi\) | |||||||
\(192\) | −7.21854 | − | 1.30319i | −0.520953 | − | 0.0940495i | ||||
\(193\) | 0.0359286 | − | 0.0622302i | 0.00258620 | − | 0.00447943i | −0.864729 | − | 0.502238i | \(-0.832510\pi\) |
0.867316 | + | 0.497759i | \(0.165843\pi\) | |||||||
\(194\) | −1.10261 | + | 14.9947i | −0.0791631 | + | 1.07656i | ||||
\(195\) | −1.24831 | − | 1.24831i | −0.0893936 | − | 0.0893936i | ||||
\(196\) | −11.2619 | − | 8.31684i | −0.804421 | − | 0.594060i | ||||
\(197\) | 2.60367 | − | 2.60367i | 0.185504 | − | 0.185504i | −0.608245 | − | 0.793749i | \(-0.708126\pi\) |
0.793749 | + | 0.608245i | \(0.208126\pi\) | |||||||
\(198\) | 2.85682 | − | 2.46545i | 0.203025 | − | 0.175212i | ||||
\(199\) | 9.01857 | + | 5.20687i | 0.639310 | + | 0.369106i | 0.784349 | − | 0.620320i | \(-0.212997\pi\) |
−0.145039 | + | 0.989426i | \(0.546331\pi\) | |||||||
\(200\) | −10.4244 | − | 9.59137i | −0.737117 | − | 0.678212i | ||||
\(201\) | 3.75033 | + | 6.49576i | 0.264528 | + | 0.458175i | ||||
\(202\) | 1.77159 | − | 0.337770i | 0.124649 | − | 0.0237654i | ||||
\(203\) | −5.91117 | + | 3.54937i | −0.414883 | + | 0.249117i | ||||
\(204\) | 9.99059 | + | 4.32563i | 0.699481 | + | 0.302855i | ||||
\(205\) | 7.87042 | − | 29.3728i | 0.549694 | − | 2.05148i | ||||
\(206\) | −12.5062 | + | 6.04424i | −0.871350 | + | 0.421122i | ||||
\(207\) | 6.62368 | + | 3.82418i | 0.460378 | + | 0.265799i | ||||
\(208\) | −2.14591 | + | 1.14955i | −0.148792 | + | 0.0797068i | ||||
\(209\) | − | 0.256407i | − | 0.0177361i | ||||||
\(210\) | −10.3091 | − | 3.39402i | −0.711397 | − | 0.234209i | ||||
\(211\) | 2.30105 | − | 2.30105i | 0.158411 | − | 0.158411i | −0.623451 | − | 0.781862i | \(-0.714270\pi\) |
0.781862 | + | 0.623451i | \(0.214270\pi\) | |||||||
\(212\) | −1.18403 | − | 10.2508i | −0.0813195 | − | 0.704028i | ||||
\(213\) | −12.2189 | + | 3.27404i | −0.837223 | + | 0.224333i | ||||
\(214\) | −4.83396 | + | 13.8769i | −0.330443 | + | 0.948603i | ||||
\(215\) | −28.3140 | + | 16.3471i | −1.93100 | + | 1.11486i | ||||
\(216\) | 11.2993 | − | 7.16609i | 0.768818 | − | 0.487591i | ||||
\(217\) | −13.7057 | − | 13.2435i | −0.930407 | − | 0.899024i | ||||
\(218\) | −0.0563983 | + | 0.0107528i | −0.00381977 | + | 0.000728274i | ||||
\(219\) | 0.534686 | − | 1.99548i | 0.0361308 | − | 0.134842i | ||||
\(220\) | −1.14370 | + | 7.73465i | −0.0771081 | + | 0.521470i | ||||
\(221\) | 3.49001 | − | 0.935145i | 0.234763 | − | 0.0629046i | ||||
\(222\) | −14.9900 | − | 1.10227i | −1.00606 | − | 0.0739794i | ||||
\(223\) | 21.9153 | 1.46756 | 0.733778 | − | 0.679390i | \(-0.237755\pi\) | ||||
0.733778 | + | 0.679390i | \(0.237755\pi\) | |||||||
\(224\) | −8.59418 | + | 12.2532i | −0.574222 | + | 0.818699i | ||||
\(225\) | 10.8143 | 0.720954 | ||||||||
\(226\) | −15.6242 | − | 1.14890i | −1.03930 | − | 0.0764238i | ||||
\(227\) | −11.1925 | + | 2.99903i | −0.742874 | + | 0.199053i | −0.610355 | − | 0.792128i | \(-0.708973\pi\) |
−0.132519 | + | 0.991180i | \(0.542307\pi\) | |||||||
\(228\) | 0.0556584 | − | 0.376409i | 0.00368607 | − | 0.0249283i | ||||
\(229\) | 5.62429 | − | 20.9901i | 0.371663 | − | 1.38707i | −0.486496 | − | 0.873683i | \(-0.661725\pi\) |
0.858159 | − | 0.513383i | \(-0.171608\pi\) | |||||||
\(230\) | −15.5668 | + | 2.96795i | −1.02645 | + | 0.195701i | ||||
\(231\) | 0.825436 | + | 2.88190i | 0.0543097 | + | 0.189615i | ||||
\(232\) | 3.94775 | + | 6.22469i | 0.259182 | + | 0.408671i | ||||
\(233\) | −10.8223 | + | 6.24823i | −0.708989 | + | 0.409335i | −0.810687 | − | 0.585480i | \(-0.800906\pi\) |
0.101697 | + | 0.994815i | \(0.467573\pi\) | |||||||
\(234\) | 0.611367 | − | 1.75506i | 0.0399663 | − | 0.114732i | ||||
\(235\) | 17.5788 | − | 4.71023i | 1.14672 | − | 0.307262i | ||||
\(236\) | −0.327414 | − | 2.83460i | −0.0213128 | − | 0.184517i | ||||
\(237\) | −1.10466 | + | 1.10466i | −0.0717554 | + | 0.0717554i | ||||
\(238\) | 16.5653 | − | 14.7992i | 1.07377 | − | 0.959292i | ||||
\(239\) | − | 7.70978i | − | 0.498704i | −0.968413 | − | 0.249352i | \(-0.919782\pi\) | ||
0.968413 | − | 0.249352i | \(-0.0802176\pi\) | |||||||
\(240\) | −3.35792 | + | 11.1063i | −0.216753 | + | 0.716908i | ||||
\(241\) | 9.50533 | + | 5.48790i | 0.612292 | + | 0.353507i | 0.773862 | − | 0.633354i | \(-0.218322\pi\) |
−0.161570 | + | 0.986861i | \(0.551656\pi\) | |||||||
\(242\) | −12.0619 | + | 5.82951i | −0.775370 | + | 0.374735i | ||||
\(243\) | −4.18102 | + | 15.6038i | −0.268213 | + | 1.00098i | ||||
\(244\) | −2.43977 | − | 1.05635i | −0.156191 | − | 0.0676259i | ||||
\(245\) | −15.1127 | + | 16.1868i | −0.965512 | + | 1.03414i | ||||
\(246\) | −12.2435 | + | 2.33434i | −0.780620 | + | 0.148832i | ||||
\(247\) | −0.0631405 | − | 0.109363i | −0.00401753 | − | 0.00695857i | ||||
\(248\) | −13.7955 | + | 14.9937i | −0.876017 | + | 0.952101i | ||||
\(249\) | 8.73967 | + | 5.04585i | 0.553854 | + | 0.319768i | ||||
\(250\) | −0.0280334 | + | 0.0241930i | −0.00177299 | + | 0.00153010i | ||||
\(251\) | −18.8899 | + | 18.8899i | −1.19232 | + | 1.19232i | −0.215903 | + | 0.976415i | \(0.569269\pi\) |
−0.976415 | + | 0.215903i | \(0.930731\pi\) | |||||||
\(252\) | −1.50553 | − | 11.3263i | −0.0948394 | − | 0.713487i | ||||
\(253\) | 3.09507 | + | 3.09507i | 0.194586 | + | 0.194586i | ||||
\(254\) | 1.87596 | − | 25.5116i | 0.117708 | − | 1.60074i | ||||
\(255\) | 8.61035 | − | 14.9136i | 0.539201 | − | 0.933924i | ||||
\(256\) | 13.3198 | + | 8.86467i | 0.832489 | + | 0.554042i | ||||
\(257\) | 15.2767 | − | 8.82001i | 0.952935 | − | 0.550177i | 0.0589435 | − | 0.998261i | \(-0.481227\pi\) |
0.893991 | + | 0.448084i | \(0.147893\pi\) | |||||||
\(258\) | 11.0828 | + | 7.53343i | 0.689983 | + | 0.469011i | ||||
\(259\) | −14.8761 | + | 26.8182i | −0.924356 | + | 1.66640i | ||||
\(260\) | 1.41685 | + | 3.58061i | 0.0878696 | + | 0.222060i | ||||
\(261\) | −5.43544 | − | 1.45642i | −0.336445 | − | 0.0901503i | ||||
\(262\) | 1.28103 | − | 3.67746i | 0.0791423 | − | 0.227194i | ||||
\(263\) | 3.59074 | − | 6.21934i | 0.221414 | − | 0.383501i | −0.733823 | − | 0.679340i | \(-0.762266\pi\) |
0.955238 | + | 0.295840i | \(0.0955994\pi\) | |||||||
\(264\) | 3.05840 | − | 0.957460i | 0.188231 | − | 0.0589276i | ||||
\(265\) | −16.3225 | −1.00268 | ||||||||
\(266\) | −0.649466 | − | 0.425368i | −0.0398213 | − | 0.0260810i | ||||
\(267\) | −3.96107 | − | 3.96107i | −0.242414 | − | 0.242414i | ||||
\(268\) | −1.87729 | − | 16.2528i | −0.114674 | − | 0.992796i | ||||
\(269\) | −4.78181 | − | 17.8459i | −0.291552 | − | 1.08809i | −0.943917 | − | 0.330182i | \(-0.892890\pi\) |
0.652366 | − | 0.757904i | \(-0.273777\pi\) | |||||||
\(270\) | −9.20959 | − | 19.0557i | −0.560478 | − | 1.15969i | ||||
\(271\) | −0.492830 | − | 0.853607i | −0.0299373 | − | 0.0518529i | 0.850669 | − | 0.525702i | \(-0.176197\pi\) |
−0.880606 | + | 0.473849i | \(0.842864\pi\) | |||||||
\(272\) | −16.2491 | − | 17.3171i | −0.985248 | − | 1.05000i | ||||
\(273\) | 1.06173 | + | 1.02592i | 0.0642591 | + | 0.0620916i | ||||
\(274\) | −2.28473 | − | 1.55302i | −0.138025 | − | 0.0938216i | ||||
\(275\) | 5.97805 | + | 1.60181i | 0.360490 | + | 0.0965930i | ||||
\(276\) | 3.87176 | + | 5.21546i | 0.233052 | + | 0.313934i | ||||
\(277\) | −0.0226152 | − | 0.0844010i | −0.00135881 | − | 0.00507116i | 0.965243 | − | 0.261354i | \(-0.0841689\pi\) |
−0.966602 | + | 0.256283i | \(0.917502\pi\) | |||||||
\(278\) | 7.90763 | − | 6.82434i | 0.474268 | − | 0.409297i | ||||
\(279\) | − | 15.5545i | − | 0.931224i | ||||||
\(280\) | 17.6941 | + | 15.7284i | 1.05743 | + | 0.939950i | ||||
\(281\) | − | 13.9541i | − | 0.832431i | −0.909266 | − | 0.416215i | \(-0.863356\pi\) | ||
0.909266 | − | 0.416215i | \(-0.136644\pi\) | |||||||
\(282\) | −4.87359 | − | 5.64722i | −0.290218 | − | 0.336287i | ||||
\(283\) | −3.42009 | − | 12.7640i | −0.203303 | − | 0.758738i | −0.989960 | − | 0.141348i | \(-0.954856\pi\) |
0.786657 | − | 0.617391i | \(-0.211810\pi\) | |||||||
\(284\) | 27.2959 | + | 4.03615i | 1.61971 | + | 0.239501i | ||||
\(285\) | −0.581367 | − | 0.155777i | −0.0344372 | − | 0.00922742i | ||||
\(286\) | 0.597917 | − | 0.879623i | 0.0353556 | − | 0.0520132i | ||||
\(287\) | −6.15984 | + | 24.6742i | −0.363604 | + | 1.45647i | ||||
\(288\) | −12.0653 | + | 1.90492i | −0.710956 | + | 0.112248i | ||||
\(289\) | 9.12239 | + | 15.8004i | 0.536611 | + | 0.929438i | ||||
\(290\) | 10.4977 | − | 5.07350i | 0.616443 | − | 0.297926i | ||||
\(291\) | −2.52298 | − | 9.41589i | −0.147900 | − | 0.551969i | ||||
\(292\) | −2.79970 | + | 3.53092i | −0.163840 | + | 0.206631i | ||||
\(293\) | 1.11946 | + | 1.11946i | 0.0653995 | + | 0.0653995i | 0.739050 | − | 0.673651i | \(-0.235275\pi\) |
−0.673651 | + | 0.739050i | \(0.735275\pi\) | |||||||
\(294\) | 8.66908 | + | 2.69017i | 0.505591 | + | 0.156894i | ||||
\(295\) | −4.51357 | −0.262790 | ||||||||
\(296\) | 29.0500 | + | 15.1978i | 1.68849 | + | 0.883354i | ||||
\(297\) | −2.92288 | + | 5.06258i | −0.169603 | + | 0.293761i | ||||
\(298\) | −10.1934 | − | 3.55083i | −0.590487 | − | 0.205694i | ||||
\(299\) | 2.08227 | + | 0.557943i | 0.120421 | + | 0.0322667i | ||||
\(300\) | 8.42815 | + | 3.64914i | 0.486599 | + | 0.210683i | ||||
\(301\) | 23.4414 | − | 14.0754i | 1.35114 | − | 0.811294i | ||||
\(302\) | −11.2147 | + | 16.4985i | −0.645334 | + | 0.949381i | ||||
\(303\) | −1.01264 | + | 0.584650i | −0.0581748 | + | 0.0335873i | ||||
\(304\) | −0.437633 | + | 0.705215i | −0.0251000 | + | 0.0404469i | ||||
\(305\) | −2.10271 | + | 3.64200i | −0.120401 | + | 0.208540i | ||||
\(306\) | 18.0801 | + | 1.32950i | 1.03357 | + | 0.0760023i | ||||
\(307\) | −15.8597 | − | 15.8597i | −0.905158 | − | 0.905158i | 0.0907183 | − | 0.995877i | \(-0.471084\pi\) |
−0.995877 | + | 0.0907183i | \(0.971084\pi\) | |||||||
\(308\) | 0.845401 | − | 6.48405i | 0.0481712 | − | 0.369463i | ||||
\(309\) | 6.36800 | − | 6.36800i | 0.362263 | − | 0.362263i | ||||
\(310\) | 21.0564 | + | 24.3989i | 1.19592 | + | 1.38576i | ||||
\(311\) | 24.7191 | + | 14.2716i | 1.40169 | + | 0.809267i | 0.994566 | − | 0.104106i | \(-0.0331981\pi\) |
0.407125 | + | 0.913373i | \(0.366531\pi\) | |||||||
\(312\) | 1.06869 | − | 1.16151i | 0.0605026 | − | 0.0657574i | ||||
\(313\) | −0.0311630 | − | 0.0539759i | −0.00176144 | − | 0.00305090i | 0.865143 | − | 0.501525i | \(-0.167227\pi\) |
−0.866905 | + | 0.498474i | \(0.833894\pi\) | |||||||
\(314\) | 3.87127 | + | 20.3047i | 0.218468 | + | 1.14586i | ||||
\(315\) | −18.0707 | + | 0.309993i | −1.01817 | + | 0.0174661i | ||||
\(316\) | 3.16856 | − | 1.25381i | 0.178245 | − | 0.0705321i | ||||
\(317\) | −5.87456 | + | 21.9241i | −0.329948 | + | 1.23138i | 0.579295 | + | 0.815118i | \(0.303328\pi\) |
−0.909243 | + | 0.416265i | \(0.863339\pi\) | |||||||
\(318\) | 2.91123 | + | 6.02368i | 0.163254 | + | 0.337791i | ||||
\(319\) | −2.78894 | − | 1.61019i | −0.156151 | − | 0.0901536i | ||||
\(320\) | 16.3470 | − | 19.3211i | 0.913826 | − | 1.08008i | ||||
\(321\) | − | 9.52731i | − | 0.531762i | ||||||
\(322\) | 12.9743 | − | 2.70507i | 0.723027 | − | 0.150748i | ||||
\(323\) | 0.871034 | − | 0.871034i | 0.0484656 | − | 0.0484656i | ||||
\(324\) | 2.65964 | − | 3.35428i | 0.147758 | − | 0.186349i | ||||
\(325\) | 2.94420 | − | 0.788896i | 0.163315 | − | 0.0437601i | ||||
\(326\) | 0.557518 | + | 0.194209i | 0.0308781 | + | 0.0107563i | ||||
\(327\) | 0.0322373 | − | 0.0186122i | 0.00178273 | − | 0.00102926i | ||||
\(328\) | 26.5308 | + | 5.93851i | 1.46492 | + | 0.327899i | ||||
\(329\) | −14.6317 | + | 4.19081i | −0.806671 | + | 0.231047i | ||||
\(330\) | −0.949402 | − | 4.97958i | −0.0522629 | − | 0.274117i | ||||
\(331\) | −4.15970 | + | 15.5242i | −0.228638 | + | 0.853289i | 0.752276 | + | 0.658848i | \(0.228956\pi\) |
−0.980914 | + | 0.194441i | \(0.937711\pi\) | |||||||
\(332\) | −13.1210 | − | 17.6746i | −0.720107 | − | 0.970021i | ||||
\(333\) | −24.1762 | + | 6.47799i | −1.32485 | + | 0.354992i | ||||
\(334\) | 0.328710 | − | 4.47020i | 0.0179862 | − | 0.244598i | ||||
\(335\) | −25.8794 | −1.41394 | ||||||||
\(336\) | 2.64855 | − | 9.33515i | 0.144490 | − | 0.509274i | ||||
\(337\) | −15.2905 | −0.832928 | −0.416464 | − | 0.909152i | \(-0.636731\pi\) | ||||
−0.416464 | + | 0.909152i | \(0.636731\pi\) | |||||||
\(338\) | −1.30984 | + | 17.8129i | −0.0712461 | + | 0.968892i | ||||
\(339\) | 9.81116 | − | 2.62889i | 0.532869 | − | 0.142782i | ||||
\(340\) | −30.1604 | + | 22.3899i | −1.63568 | + | 1.21426i | ||||
\(341\) | 2.30393 | − | 8.59839i | 0.124765 | − | 0.465629i | ||||
\(342\) | −0.118668 | − | 0.622407i | −0.00641681 | − | 0.0336559i | ||||
\(343\) | 12.4049 | − | 13.7521i | 0.669800 | − | 0.742541i | ||||
\(344\) | −15.6552 | − | 24.6847i | −0.844073 | − | 1.33091i | ||||
\(345\) | 8.89801 | − | 5.13727i | 0.479053 | − | 0.276581i | ||||
\(346\) | −30.5398 | − | 10.6384i | −1.64183 | − | 0.571926i | ||||
\(347\) | 26.6227 | − | 7.13352i | 1.42918 | − | 0.382948i | 0.540449 | − | 0.841377i | \(-0.318254\pi\) |
0.888731 | + | 0.458429i | \(0.151588\pi\) | |||||||
\(348\) | −3.74467 | − | 2.96918i | −0.200735 | − | 0.159165i | ||||
\(349\) | −17.0806 | + | 17.0806i | −0.914304 | + | 0.914304i | −0.996607 | − | 0.0823032i | \(-0.973772\pi\) |
0.0823032 | + | 0.996607i | \(0.473772\pi\) | |||||||
\(350\) | 13.9746 | − | 12.4848i | 0.746976 | − | 0.667338i | ||||
\(351\) | 2.87905i | 0.153672i | ||||||||
\(352\) | −6.95176 | − | 0.734092i | −0.370530 | − | 0.0391272i | ||||
\(353\) | −20.2940 | − | 11.7168i | −1.08014 | − | 0.623621i | −0.149208 | − | 0.988806i | \(-0.547672\pi\) |
−0.930935 | + | 0.365185i | \(0.881006\pi\) | |||||||
\(354\) | 0.805029 | + | 1.66570i | 0.0427868 | + | 0.0885308i | ||||
\(355\) | 11.2964 | − | 42.1587i | 0.599550 | − | 2.23755i | ||||
\(356\) | 4.49587 | + | 11.3618i | 0.238281 | + | 0.602172i | ||||
\(357\) | −6.98597 | + | 12.5941i | −0.369737 | + | 0.666551i | ||||
\(358\) | 3.64318 | + | 19.1084i | 0.192548 | + | 1.00991i | ||||
\(359\) | −4.35778 | − | 7.54790i | −0.229995 | − | 0.398363i | 0.727811 | − | 0.685777i | \(-0.240538\pi\) |
−0.957806 | + | 0.287414i | \(0.907204\pi\) | |||||||
\(360\) | 0.803433 | + | 19.3045i | 0.0423446 | + | 1.01744i | ||||
\(361\) | 16.4172 | + | 9.47847i | 0.864063 | + | 0.498867i | ||||
\(362\) | 6.55109 | + | 7.59101i | 0.344318 | + | 0.398975i | ||||
\(363\) | 6.14177 | − | 6.14177i | 0.322360 | − | 0.322360i | ||||
\(364\) | −1.23612 | − | 2.97375i | −0.0647904 | − | 0.155867i | ||||
\(365\) | 5.04015 | + | 5.04015i | 0.263814 | + | 0.263814i | ||||
\(366\) | 1.71909 | + | 0.126411i | 0.0898581 | + | 0.00660759i | ||||
\(367\) | −1.41408 | + | 2.44926i | −0.0738143 | + | 0.127850i | −0.900570 | − | 0.434711i | \(-0.856851\pi\) |
0.826756 | + | 0.562561i | \(0.190184\pi\) | |||||||
\(368\) | −3.22996 | − | 13.7952i | −0.168373 | − | 0.719127i | ||||
\(369\) | −17.9747 | + | 10.3777i | −0.935728 | + | 0.540243i | ||||
\(370\) | 29.1535 | − | 42.8891i | 1.51562 | − | 2.22970i | ||||
\(371\) | 13.6487 | − | 0.234135i | 0.708605 | − | 0.0121557i | ||||
\(372\) | 5.24865 | − | 12.1224i | 0.272130 | − | 0.628519i | ||||
\(373\) | 13.6755 | + | 3.66434i | 0.708091 | + | 0.189733i | 0.594852 | − | 0.803835i | \(-0.297211\pi\) |
0.113239 | + | 0.993568i | \(0.463877\pi\) | |||||||
\(374\) | 9.79762 | + | 3.41296i | 0.506623 | + | 0.176480i | ||||
\(375\) | 0.0120040 | − | 0.0207915i | 0.000619882 | − | 0.00107367i | ||||
\(376\) | 4.86111 | + | 15.5278i | 0.250693 | + | 0.800783i | ||||
\(377\) | −1.58605 | −0.0816855 | ||||||||
\(378\) | 7.97432 | + | 15.8021i | 0.410155 | + | 0.812773i | ||||
\(379\) | −10.2443 | − | 10.2443i | −0.526215 | − | 0.526215i | 0.393227 | − | 0.919442i | \(-0.371359\pi\) |
−0.919442 | + | 0.393227i | \(0.871359\pi\) | |||||||
\(380\) | 1.02871 | + | 0.815670i | 0.0527715 | + | 0.0418430i | ||||
\(381\) | 4.29254 | + | 16.0200i | 0.219913 | + | 0.820728i | ||||
\(382\) | −6.84093 | + | 3.30621i | −0.350012 | + | 0.169160i | ||||
\(383\) | −3.20722 | − | 5.55507i | −0.163881 | − | 0.283851i | 0.772376 | − | 0.635165i | \(-0.219068\pi\) |
−0.936257 | + | 0.351315i | \(0.885735\pi\) | |||||||
\(384\) | −10.0459 | − | 2.58667i | −0.512653 | − | 0.132001i | ||||
\(385\) | −10.0352 | − | 2.50527i | −0.511443 | − | 0.127680i | ||||
\(386\) | 0.0571280 | − | 0.0840436i | 0.00290774 | − | 0.00427771i | ||||
\(387\) | 21.5548 | + | 5.77560i | 1.09569 | + | 0.293590i | ||||
\(388\) | −3.11027 | + | 21.0343i | −0.157900 | + | 1.06785i | ||||
\(389\) | 4.40182 | + | 16.4278i | 0.223181 | + | 0.832924i | 0.983125 | + | 0.182935i | \(0.0585598\pi\) |
−0.759944 | + | 0.649989i | \(0.774774\pi\) | |||||||
\(390\) | −1.63116 | − | 1.89009i | −0.0825971 | − | 0.0957086i | ||||
\(391\) | 21.0284i | 1.06345i | ||||||||
\(392\) | −15.0213 | − | 12.8981i | −0.758689 | − | 0.651453i | ||||
\(393\) | 2.52480i | 0.127359i | ||||||||
\(394\) | 3.94226 | − | 3.40220i | 0.198608 | − | 0.171400i | ||||
\(395\) | −1.39507 | − | 5.20647i | −0.0701935 | − | 0.261966i | ||||
\(396\) | 4.28497 | − | 3.18100i | 0.215328 | − | 0.159851i | ||||
\(397\) | 10.6885 | + | 2.86398i | 0.536441 | + | 0.143739i | 0.516861 | − | 0.856069i | \(-0.327100\pi\) |
0.0195801 | + | 0.999808i | \(0.493767\pi\) | |||||||
\(398\) | 12.1798 | + | 8.27914i | 0.610519 | + | 0.414996i | ||||
\(399\) | 0.488368 | + | 0.121920i | 0.0244490 | + | 0.00610362i | ||||
\(400\) | −13.7079 | − | 14.6089i | −0.685395 | − | 0.730443i | ||||
\(401\) | −7.59299 | − | 13.1514i | −0.379176 | − | 0.656752i | 0.611767 | − | 0.791038i | \(-0.290459\pi\) |
−0.990943 | + | 0.134286i | \(0.957126\pi\) | |||||||
\(402\) | 4.61579 | + | 9.55061i | 0.230215 | + | 0.476341i | ||||
\(403\) | −1.13469 | − | 4.23472i | −0.0565229 | − | 0.210946i | ||||
\(404\) | 2.53369 | − | 0.292657i | 0.126056 | − | 0.0145602i | ||||
\(405\) | −4.78802 | − | 4.78802i | −0.237918 | − | 0.237918i | ||||
\(406\) | −8.70527 | + | 4.39300i | −0.432035 | + | 0.218021i | ||||
\(407\) | −14.3239 | −0.710009 | ||||||||
\(408\) | 13.6422 | + | 7.13704i | 0.675388 | + | 0.353336i | ||||
\(409\) | 2.65534 | − | 4.59919i | 0.131298 | − | 0.227415i | −0.792879 | − | 0.609379i | \(-0.791419\pi\) |
0.924177 | + | 0.381964i | \(0.124752\pi\) | |||||||
\(410\) | 14.1468 | − | 40.6113i | 0.698660 | − | 2.00565i | ||||
\(411\) | 1.73009 | + | 0.463575i | 0.0853389 | + | 0.0228665i | ||||
\(412\) | −18.2657 | + | 7.22778i | −0.899887 | + | 0.356087i | ||||
\(413\) | 3.77421 | − | 0.0647443i | 0.185716 | − | 0.00318586i | ||||
\(414\) | 8.94546 | + | 6.08061i | 0.439646 | + | 0.298846i | ||||
\(415\) | −30.1544 | + | 17.4096i | −1.48022 | + | 0.854606i | ||||
\(416\) | −3.14583 | + | 1.39877i | −0.154237 | + | 0.0685804i | ||||
\(417\) | −3.38607 | + | 5.86484i | −0.165817 | + | 0.287203i | ||||
\(418\) | 0.0265926 | − | 0.361638i | 0.00130069 | − | 0.0176883i | ||||
\(419\) | 7.73525 | + | 7.73525i | 0.377891 | + | 0.377891i | 0.870341 | − | 0.492450i | \(-0.163898\pi\) |
−0.492450 | + | 0.870341i | \(0.663898\pi\) | |||||||
\(420\) | −14.1880 | − | 5.85612i | −0.692305 | − | 0.285749i | ||||
\(421\) | 4.79155 | − | 4.79155i | 0.233526 | − | 0.233526i | −0.580637 | − | 0.814163i | \(-0.697196\pi\) |
0.814163 | + | 0.580637i | \(0.197196\pi\) | |||||||
\(422\) | 3.48406 | − | 3.00677i | 0.169602 | − | 0.146367i | ||||
\(423\) | −10.7574 | − | 6.21079i | −0.523043 | − | 0.301979i | ||||
\(424\) | −0.606828 | − | 14.5806i | −0.0294702 | − | 0.708096i | ||||
\(425\) | 14.8664 | + | 25.7494i | 0.721126 | + | 1.24903i | ||||
\(426\) | −17.5731 | + | 3.35047i | −0.851421 | + | 0.162331i | ||||
\(427\) | 1.70602 | − | 3.07557i | 0.0825603 | − | 0.148837i | ||||
\(428\) | −8.25704 | + | 19.0707i | −0.399119 | + | 0.921816i | ||||
\(429\) | −0.178477 | + | 0.666086i | −0.00861696 | + | 0.0321589i | ||||
\(430\) | −41.6296 | + | 20.1195i | −2.00756 | + | 0.970249i | ||||
\(431\) | 2.20553 | + | 1.27336i | 0.106236 | + | 0.0613356i | 0.552177 | − | 0.833727i | \(-0.313797\pi\) |
−0.445940 | + | 0.895063i | \(0.647131\pi\) | |||||||
\(432\) | 16.6798 | − | 8.93522i | 0.802506 | − | 0.429896i | ||||
\(433\) | − | 19.0390i | − | 0.914954i | −0.889221 | − | 0.457477i | \(-0.848753\pi\) | ||
0.889221 | − | 0.457477i | \(-0.151247\pi\) | |||||||
\(434\) | −17.9572 | − | 20.1001i | −0.861971 | − | 0.964835i | ||||
\(435\) | −5.34527 | + | 5.34527i | −0.256286 | + | 0.256286i | ||||
\(436\) | −0.0806596 | + | 0.00931667i | −0.00386290 | + | 0.000446188i | ||||
\(437\) | 0.709913 | − | 0.190221i | 0.0339597 | − | 0.00909948i | ||||
\(438\) | 0.961080 | − | 2.75898i | 0.0459222 | − | 0.131829i | ||||
\(439\) | 15.2321 | − | 8.79426i | 0.726988 | − | 0.419727i | −0.0903310 | − | 0.995912i | \(-0.528792\pi\) |
0.817319 | + | 0.576185i | \(0.195459\pi\) | |||||||
\(440\) | −2.41525 | + | 10.7904i | −0.115143 | + | 0.514411i | ||||
\(441\) | 15.1061 | − | 0.518426i | 0.719339 | − | 0.0246870i | ||||
\(442\) | 5.01931 | − | 0.956977i | 0.238744 | − | 0.0455187i | ||||
\(443\) | 6.99648 | − | 26.1112i | 0.332413 | − | 1.24058i | −0.574234 | − | 0.818691i | \(-0.694700\pi\) |
0.906647 | − | 0.421890i | \(-0.138633\pi\) | |||||||
\(444\) | −21.0277 | − | 3.10929i | −0.997928 | − | 0.147560i | ||||
\(445\) | 18.6693 | − | 5.00241i | 0.885008 | − | 0.237137i | ||||
\(446\) | 30.9094 | + | 2.27288i | 1.46360 | + | 0.107624i | ||||
\(447\) | 6.99837 | 0.331012 | ||||||||
\(448\) | −13.3921 | + | 16.3906i | −0.632716 | + | 0.774384i | ||||
\(449\) | −4.60299 | −0.217228 | −0.108614 | − | 0.994084i | \(-0.534641\pi\) | ||||
−0.108614 | + | 0.994084i | \(0.534641\pi\) | |||||||
\(450\) | 15.2526 | + | 1.12158i | 0.719012 | + | 0.0528716i | ||||
\(451\) | −11.4734 | + | 3.07430i | −0.540263 | + | 0.144763i | ||||
\(452\) | −21.9173 | − | 3.24083i | −1.03090 | − | 0.152436i | ||||
\(453\) | 3.34757 | − | 12.4933i | 0.157283 | − | 0.586987i | ||||
\(454\) | −16.0970 | + | 3.06905i | −0.755472 | + | 0.144037i | ||||
\(455\) | −4.89714 | + | 1.40264i | −0.229582 | + | 0.0657568i | ||||
\(456\) | 0.117539 | − | 0.525117i | 0.00550427 | − | 0.0245909i | ||||
\(457\) | −22.3267 | + | 12.8903i | −1.04440 | + | 0.602985i | −0.921076 | − | 0.389382i | \(-0.872689\pi\) |
−0.123324 | + | 0.992367i | \(0.539355\pi\) | |||||||
\(458\) | 10.1095 | − | 29.0213i | 0.472384 | − | 1.35608i | ||||
\(459\) | −27.1272 | + | 7.26871i | −1.26619 | + | 0.339274i | ||||
\(460\) | −22.2633 | + | 2.57155i | −1.03803 | + | 0.119899i | ||||
\(461\) | 4.40686 | − | 4.40686i | 0.205248 | − | 0.205248i | −0.596996 | − | 0.802244i | \(-0.703639\pi\) |
0.802244 | + | 0.596996i | \(0.203639\pi\) | |||||||
\(462\) | 0.865310 | + | 4.15026i | 0.0402579 | + | 0.193088i | ||||
\(463\) | 31.0375i | 1.44244i | 0.692708 | + | 0.721218i | \(0.256417\pi\) | ||||
−0.692708 | + | 0.721218i | \(0.743583\pi\) | |||||||
\(464\) | 4.92235 | + | 9.18877i | 0.228514 | + | 0.426578i | ||||
\(465\) | −18.0959 | − | 10.4477i | −0.839177 | − | 0.484499i | ||||
\(466\) | −15.9118 | + | 7.69014i | −0.737099 | + | 0.356239i | ||||
\(467\) | 9.43026 | − | 35.1942i | 0.436380 | − | 1.62859i | −0.301361 | − | 0.953510i | \(-0.597441\pi\) |
0.737741 | − | 0.675084i | \(-0.235893\pi\) | |||||||
\(468\) | 1.04430 | − | 2.41193i | 0.0482726 | − | 0.111492i | ||||
\(469\) | 21.6402 | − | 0.371224i | 0.999249 | − | 0.0171415i | ||||
\(470\) | 25.2818 | − | 4.82020i | 1.16616 | − | 0.222339i | ||||
\(471\) | −6.70083 | − | 11.6062i | −0.308758 | − | 0.534784i | ||||
\(472\) | −0.167803 | − | 4.03190i | −0.00772377 | − | 0.185583i | ||||
\(473\) | 11.0598 | + | 6.38540i | 0.508532 | + | 0.293601i | ||||
\(474\) | −1.67259 | + | 1.44345i | −0.0768244 | + | 0.0662999i | ||||
\(475\) | 0.734812 | − | 0.734812i | 0.0337155 | − | 0.0337155i | ||||
\(476\) | 24.8987 | − | 19.1549i | 1.14123 | − | 0.877963i | ||||
\(477\) | 7.87773 | + | 7.87773i | 0.360697 | + | 0.360697i | ||||
\(478\) | 0.799598 | − | 10.8739i | 0.0365728 | − | 0.497361i | ||||
\(479\) | 4.76900 | − | 8.26015i | 0.217901 | − | 0.377416i | −0.736265 | − | 0.676693i | \(-0.763412\pi\) |
0.954166 | + | 0.299278i | \(0.0967457\pi\) | |||||||
\(480\) | −5.88789 | + | 15.3161i | −0.268744 | + | 0.699082i | ||||
\(481\) | −6.10941 | + | 3.52727i | −0.278565 | + | 0.160830i | ||||
\(482\) | 12.8372 | + | 8.72599i | 0.584719 | + | 0.397458i | ||||
\(483\) | −7.36674 | + | 4.42337i | −0.335198 | + | 0.201270i | ||||
\(484\) | −17.6168 | + | 6.97100i | −0.800764 | + | 0.316864i | ||||
\(485\) | 32.4876 | + | 8.70502i | 1.47518 | + | 0.395275i | ||||
\(486\) | −7.51524 | + | 21.5741i | −0.340898 | + | 0.978619i | ||||
\(487\) | −1.39542 | + | 2.41695i | −0.0632327 | + | 0.109522i | −0.895909 | − | 0.444238i | \(-0.853474\pi\) |
0.832676 | + | 0.553761i | \(0.186808\pi\) | |||||||
\(488\) | −3.33151 | − | 1.74292i | −0.150811 | − | 0.0788981i | ||||
\(489\) | −0.382770 | −0.0173094 | ||||||||
\(490\) | −22.9937 | + | 21.2626i | −1.03875 | + | 0.960547i | ||||
\(491\) | −14.9085 | − | 14.9085i | −0.672809 | − | 0.672809i | 0.285554 | − | 0.958363i | \(-0.407823\pi\) |
−0.958363 | + | 0.285554i | \(0.907823\pi\) | |||||||
\(492\) | −17.5105 | + | 2.02256i | −0.789433 | + | 0.0911842i | ||||
\(493\) | −4.00428 | − | 14.9442i | −0.180344 | − | 0.673052i | ||||
\(494\) | −0.0777115 | − | 0.160794i | −0.00349640 | − | 0.00723446i | ||||
\(495\) | −4.22073 | − | 7.31052i | −0.189708 | − | 0.328583i | ||||
\(496\) | −21.0123 | + | 19.7164i | −0.943481 | + | 0.885294i | ||||
\(497\) | −8.84119 | + | 35.4147i | −0.396582 | + | 1.58857i | ||||
\(498\) | 11.8032 | + | 8.02310i | 0.528912 | + | 0.359524i | ||||
\(499\) | 13.6645 | + | 3.66140i | 0.611708 | + | 0.163907i | 0.551356 | − | 0.834270i | \(-0.314111\pi\) |
0.0603527 | + | 0.998177i | \(0.480777\pi\) | |||||||
\(500\) | −0.0420475 | + | 0.0312145i | −0.00188042 | + | 0.00139595i | ||||
\(501\) | 0.752147 | + | 2.80705i | 0.0336035 | + | 0.125410i | ||||
\(502\) | −28.6015 | + | 24.6833i | −1.27655 | + | 1.10167i | ||||
\(503\) | − | 0.855211i | − | 0.0381320i | −0.999818 | − | 0.0190660i | \(-0.993931\pi\) | ||
0.999818 | − | 0.0190660i | \(-0.00606926\pi\) | |||||||
\(504\) | −0.948735 | − | 16.1307i | −0.0422600 | − | 0.718521i | ||||
\(505\) | − | 4.03443i | − | 0.179530i | ||||||
\(506\) | 4.04431 | + | 4.68631i | 0.179792 | + | 0.208332i | ||||
\(507\) | −2.99716 | − | 11.1855i | −0.133108 | − | 0.496768i | ||||
\(508\) | 5.29174 | − | 35.7872i | 0.234783 | − | 1.58780i | ||||
\(509\) | −17.5670 | − | 4.70706i | −0.778642 | − | 0.208637i | −0.152456 | − | 0.988310i | \(-0.548718\pi\) |
−0.626186 | + | 0.779674i | \(0.715385\pi\) | |||||||
\(510\) | 13.6908 | − | 20.1412i | 0.606239 | − | 0.891867i | ||||
\(511\) | −4.28683 | − | 4.14223i | −0.189638 | − | 0.183242i | ||||
\(512\) | 17.8670 | + | 13.8842i | 0.789616 | + | 0.613601i | ||||
\(513\) | 0.490779 | + | 0.850055i | 0.0216684 | + | 0.0375308i | ||||
\(514\) | 22.4611 | − | 10.8554i | 0.990717 | − | 0.478812i | ||||
\(515\) | 8.04211 | + | 30.0136i | 0.354378 | + | 1.32256i | ||||
\(516\) | 14.8499 | + | 11.7746i | 0.653730 | + | 0.518348i | ||||
\(517\) | −5.02665 | − | 5.02665i | −0.221072 | − | 0.221072i | ||||
\(518\) | −23.7627 | + | 36.2817i | −1.04407 | + | 1.59413i | ||||
\(519\) | 20.9674 | 0.920368 | ||||||||
\(520\) | 1.62699 | + | 5.19706i | 0.0713481 | + | 0.227906i | ||||
\(521\) | −0.473813 | + | 0.820669i | −0.0207581 | + | 0.0359541i | −0.876218 | − | 0.481915i | \(-0.839941\pi\) |
0.855460 | + | 0.517869i | \(0.173275\pi\) | |||||||
\(522\) | −7.51513 | − | 2.61787i | −0.328928 | − | 0.114581i | ||||
\(523\) | 25.8487 | + | 6.92613i | 1.13028 | + | 0.302859i | 0.775038 | − | 0.631915i | \(-0.217731\pi\) |
0.355245 | + | 0.934773i | \(0.384397\pi\) | |||||||
\(524\) | 2.18817 | − | 5.05385i | 0.0955906 | − | 0.220779i | ||||
\(525\) | −5.89343 | + | 10.6245i | −0.257210 | + | 0.463691i | ||||
\(526\) | 5.70942 | − | 8.39939i | 0.248942 | − | 0.366231i | ||||
\(527\) | 37.0360 | − | 21.3827i | 1.61331 | − | 0.931446i | ||||
\(528\) | 4.41288 | − | 1.03321i | 0.192046 | − | 0.0449649i | ||||
\(529\) | 5.22683 | − | 9.05314i | 0.227254 | − | 0.393615i | ||||
\(530\) | −23.0213 | − | 1.69284i | −0.999981 | − | 0.0735322i | ||||
\(531\) | 2.17839 | + | 2.17839i | 0.0945341 | + | 0.0945341i | ||||
\(532\) | −0.871895 | − | 0.667300i | −0.0378015 | − | 0.0289311i | ||||
\(533\) | −4.13658 | + | 4.13658i | −0.179175 | + | 0.179175i | ||||
\(534\) | −5.17590 | − | 5.99753i | −0.223983 | − | 0.259538i | ||||
\(535\) | 28.4680 | + | 16.4360i | 1.23078 | + | 0.710590i | ||||
\(536\) | −0.962133 | − | 23.1177i | −0.0415578 | − | 0.998532i | ||||
\(537\) | −6.30603 | − | 10.9224i | −0.272125 | − | 0.471335i | ||||
\(538\) | −4.89344 | − | 25.6659i | −0.210971 | − | 1.10654i | ||||
\(539\) | 8.42732 | + | 1.95094i | 0.362990 | + | 0.0840327i | ||||
\(540\) | −11.0130 | − | 27.8314i | −0.473922 | − | 1.19767i | ||||
\(541\) | 5.34896 | − | 19.9626i | 0.229970 | − | 0.858259i | −0.750382 | − | 0.661004i | \(-0.770131\pi\) |
0.980352 | − | 0.197255i | \(-0.0632027\pi\) | |||||||
\(542\) | −0.606561 | − | 1.25504i | −0.0260540 | − | 0.0539088i | ||||
\(543\) | −5.63002 | − | 3.25049i | −0.241607 | − | 0.139492i | ||||
\(544\) | −21.1219 | − | 26.1094i | −0.905592 | − | 1.11943i | ||||
\(545\) | 0.128435i | 0.00550156i | ||||||||
\(546\) | 1.39108 | + | 1.55708i | 0.0595326 | + | 0.0666369i | ||||
\(547\) | 3.84440 | − | 3.84440i | 0.164375 | − | 0.164375i | −0.620127 | − | 0.784502i | \(-0.712919\pi\) |
0.784502 | + | 0.620127i | \(0.212919\pi\) | |||||||
\(548\) | −3.06132 | − | 2.42735i | −0.130773 | − | 0.103691i | ||||
\(549\) | 2.77258 | − | 0.742910i | 0.118331 | − | 0.0317066i | ||||
\(550\) | 8.26535 | + | 2.87920i | 0.352436 | + | 0.122770i | ||||
\(551\) | −0.468289 | + | 0.270367i | −0.0199498 | + | 0.0115180i | ||||
\(552\) | 4.91984 | + | 7.75746i | 0.209402 | + | 0.330179i | ||||
\(553\) | 1.24123 | + | 4.33359i | 0.0527824 | + | 0.184283i | ||||
\(554\) | −0.0231432 | − | 0.121385i | −0.000983259 | − | 0.00515716i | ||||
\(555\) | −8.70229 | + | 32.4774i | −0.369392 | + | 1.37859i | ||||
\(556\) | 11.8607 | − | 8.80497i | 0.503007 | − | 0.373414i | ||||
\(557\) | 12.0167 | − | 3.21987i | 0.509165 | − | 0.136430i | 0.00491478 | − | 0.999988i | \(-0.498436\pi\) |
0.504250 | + | 0.863558i | \(0.331769\pi\) | |||||||
\(558\) | 1.61319 | − | 21.9382i | 0.0682919 | − | 0.928716i | ||||
\(559\) | 6.28964 | 0.266023 | ||||||||
\(560\) | 23.3247 | + | 24.0185i | 0.985647 | + | 1.01497i | ||||
\(561\) | −6.72665 | −0.284000 | ||||||||
\(562\) | 1.44721 | − | 19.6809i | 0.0610468 | − | 0.830189i | ||||
\(563\) | 3.51233 | − | 0.941127i | 0.148027 | − | 0.0396638i | −0.184044 | − | 0.982918i | \(-0.558919\pi\) |
0.332072 | + | 0.943254i | \(0.392252\pi\) | |||||||
\(564\) | −6.28805 | − | 8.47032i | −0.264775 | − | 0.356665i | ||||
\(565\) | −9.07045 | + | 33.8514i | −0.381597 | + | 1.42414i | ||||
\(566\) | −3.49994 | − | 18.3571i | −0.147113 | − | 0.771605i | ||||
\(567\) | 4.07238 | + | 3.93501i | 0.171024 | + | 0.165255i | ||||
\(568\) | 38.0796 | + | 8.52352i | 1.59779 | + | 0.357639i | ||||
\(569\) | −14.1011 | + | 8.14128i | −0.591149 | + | 0.341300i | −0.765552 | − | 0.643374i | \(-0.777534\pi\) |
0.174402 | + | 0.984674i | \(0.444201\pi\) | |||||||
\(570\) | −0.803807 | − | 0.280003i | −0.0336678 | − | 0.0117280i | ||||
\(571\) | −7.53618 | + | 2.01931i | −0.315379 | + | 0.0845056i | −0.413036 | − | 0.910715i | \(-0.635532\pi\) |
0.0976573 | + | 0.995220i | \(0.468865\pi\) | |||||||
\(572\) | 0.934533 | − | 1.17861i | 0.0390748 | − | 0.0492803i | ||||
\(573\) | 3.48331 | − | 3.48331i | 0.145517 | − | 0.145517i | ||||
\(574\) | −11.2469 | + | 34.1617i | −0.469436 | + | 1.42588i | ||||
\(575\) | 17.7397i | 0.739798i | ||||||||
\(576\) | −17.2146 | + | 1.43539i | −0.717273 | + | 0.0598078i | ||||
\(577\) | 31.7171 | + | 18.3119i | 1.32040 | + | 0.762333i | 0.983792 | − | 0.179312i | \(-0.0573872\pi\) |
0.336607 | + | 0.941645i | \(0.390721\pi\) | |||||||
\(578\) | 11.2276 | + | 23.2311i | 0.467006 | + | 0.966288i | ||||
\(579\) | −0.0170526 | + | 0.0636412i | −0.000708682 | + | 0.00264484i | ||||
\(580\) | 15.3321 | − | 6.06696i | 0.636632 | − | 0.251917i | ||||
\(581\) | 24.9651 | − | 14.9903i | 1.03573 | − | 0.621904i | ||||
\(582\) | −2.58188 | − | 13.5419i | −0.107023 | − | 0.561329i | ||||
\(583\) | 3.18789 | + | 5.52159i | 0.132029 | + | 0.228681i | ||||
\(584\) | −4.31491 | + | 4.68967i | −0.178552 | + | 0.194060i | ||||
\(585\) | −3.60044 | − | 2.07872i | −0.148860 | − | 0.0859443i | ||||
\(586\) | 1.46279 | + | 1.69499i | 0.0604273 | + | 0.0700195i | ||||
\(587\) | 26.7399 | − | 26.7399i | 1.10367 | − | 1.10367i | 0.109709 | − | 0.993964i | \(-0.465008\pi\) |
0.993964 | − | 0.109709i | \(-0.0349919\pi\) | |||||||
\(588\) | 11.9479 | + | 4.69332i | 0.492724 | + | 0.193549i | ||||
\(589\) | −1.05690 | − | 1.05690i | −0.0435488 | − | 0.0435488i | ||||
\(590\) | −6.36596 | − | 0.468112i | −0.262082 | − | 0.0192719i | ||||
\(591\) | −1.68809 | + | 2.92385i | −0.0694386 | + | 0.120271i | ||||
\(592\) | 39.3960 | + | 24.4479i | 1.61917 | + | 1.00480i | ||||
\(593\) | −4.90827 | + | 2.83379i | −0.201559 | + | 0.116370i | −0.597382 | − | 0.801957i | \(-0.703792\pi\) |
0.395824 | + | 0.918327i | \(0.370459\pi\) | |||||||
\(594\) | −4.64750 | + | 6.83715i | −0.190689 | + | 0.280532i | ||||
\(595\) | −25.5799 | − | 42.6010i | −1.04867 | − | 1.74647i | ||||
\(596\) | −14.0085 | − | 6.06529i | −0.573812 | − | 0.248444i | ||||
\(597\) | −9.22305 | − | 2.47131i | −0.377474 | − | 0.101144i | ||||
\(598\) | 2.87898 | + | 1.00288i | 0.117730 | + | 0.0410109i | ||||
\(599\) | 5.10517 | − | 8.84241i | 0.208591 | − | 0.361291i | −0.742680 | − | 0.669647i | \(-0.766445\pi\) |
0.951271 | + | 0.308356i | \(0.0997788\pi\) | |||||||
\(600\) | 11.5086 | + | 6.02087i | 0.469838 | + | 0.245801i | ||||
\(601\) | −2.00211 | −0.0816677 | −0.0408339 | − | 0.999166i | \(-0.513001\pi\) | ||||
−0.0408339 | + | 0.999166i | \(0.513001\pi\) | |||||||
\(602\) | 34.5217 | − | 17.4209i | 1.40700 | − | 0.710023i | ||||
\(603\) | 12.4902 | + | 12.4902i | 0.508642 | + | 0.508642i | ||||
\(604\) | −17.5284 | + | 22.1064i | −0.713220 | + | 0.899499i | ||||
\(605\) | 7.75641 | + | 28.9473i | 0.315343 | + | 1.17688i | ||||
\(606\) | −1.48887 | + | 0.719570i | −0.0604813 | + | 0.0292305i | ||||
\(607\) | 14.2213 | + | 24.6319i | 0.577223 | + | 0.999779i | 0.995796 | + | 0.0915962i | \(0.0291969\pi\) |
−0.418573 | + | 0.908183i | \(0.637470\pi\) | |||||||
\(608\) | −0.690380 | + | 0.949251i | −0.0279986 | + | 0.0384972i | ||||
\(609\) | 4.39299 | − | 4.54634i | 0.178013 | − | 0.184227i | ||||
\(610\) | −3.34339 | + | 4.91862i | −0.135370 | + | 0.199149i | ||||
\(611\) | −3.38178 | − | 0.906145i | −0.136812 | − | 0.0366587i | ||||
\(612\) | 25.3624 | + | 3.75026i | 1.02522 | + | 0.151595i | ||||
\(613\) | −4.14311 | − | 15.4623i | −0.167339 | − | 0.624517i | −0.997730 | − | 0.0673365i | \(-0.978550\pi\) |
0.830392 | − | 0.557180i | \(-0.188117\pi\) | |||||||
\(614\) | −20.7237 | − | 24.0134i | −0.836341 | − | 0.969101i | ||||
\(615\) | 27.8821i | 1.12431i | ||||||||
\(616\) | 1.86483 | − | 9.05746i | 0.0751363 | − | 0.364936i | ||||
\(617\) | − | 41.5070i | − | 1.67101i | −0.549485 | − | 0.835504i | \(-0.685176\pi\) | ||
0.549485 | − | 0.835504i | \(-0.314824\pi\) | |||||||
\(618\) | 9.64191 | − | 8.32103i | 0.387854 | − | 0.334721i | ||||
\(619\) | −4.63988 | − | 17.3163i | −0.186492 | − | 0.695999i | −0.994306 | − | 0.106561i | \(-0.966016\pi\) |
0.807814 | − | 0.589438i | \(-0.200651\pi\) | |||||||
\(620\) | 27.1676 | + | 36.5961i | 1.09108 | + | 1.46974i | ||||
\(621\) | −16.1851 | − | 4.33679i | −0.649486 | − | 0.174029i | ||||
\(622\) | 33.3838 | + | 22.6924i | 1.33857 | + | 0.909881i | ||||
\(623\) | −15.5393 | + | 4.45077i | −0.622569 | + | 0.178316i | ||||
\(624\) | 1.62775 | − | 1.52736i | 0.0651621 | − | 0.0611434i | ||||
\(625\) | −12.4793 | − | 21.6147i | −0.499171 | − | 0.864589i | ||||
\(626\) | −0.0383545 | − | 0.0793599i | −0.00153296 | − | 0.00317186i | ||||
\(627\) | 0.0608486 | + | 0.227090i | 0.00243006 | + | 0.00906910i | ||||
\(628\) | 3.35422 | + | 29.0393i | 0.133848 | + | 1.15880i | ||||
\(629\) | −48.6593 | − | 48.6593i | −1.94017 | − | 1.94017i | ||||
\(630\) | −25.5192 | − | 1.43694i | −1.01671 | − | 0.0572490i | ||||
\(631\) | −21.0724 | −0.838880 | −0.419440 | − | 0.907783i | \(-0.637774\pi\) | ||||
−0.419440 | + | 0.907783i | \(0.637774\pi\) | |||||||
\(632\) | 4.59899 | − | 1.43976i | 0.182938 | − | 0.0572704i | ||||
\(633\) | −1.49188 | + | 2.58402i | −0.0592971 | + | 0.102706i | ||||
\(634\) | −10.5593 | + | 30.3127i | −0.419364 | + | 1.20387i | ||||
\(635\) | −55.2736 | − | 14.8105i | −2.19347 | − | 0.587737i | ||||
\(636\) | 3.48129 | + | 8.79776i | 0.138042 | + | 0.348854i | ||||
\(637\) | 4.07483 | − | 1.24312i | 0.161451 | − | 0.0492543i | ||||
\(638\) | −3.76654 | − | 2.56027i | −0.149119 | − | 0.101362i | ||||
\(639\) | −25.7991 | + | 14.8951i | −1.02060 | + | 0.589242i | ||||
\(640\) | 25.0598 | − | 25.5552i | 0.990574 | − | 1.01016i | ||||
\(641\) | 13.5748 | − | 23.5122i | 0.536171 | − | 0.928675i | −0.462935 | − | 0.886392i | \(-0.653204\pi\) |
0.999106 | − | 0.0422829i | \(-0.0134631\pi\) | |||||||
\(642\) | 0.988098 | − | 13.4374i | 0.0389971 | − | 0.530330i | ||||
\(643\) | 21.2081 | + | 21.2081i | 0.836367 | + | 0.836367i | 0.988379 | − | 0.152012i | \(-0.0485752\pi\) |
−0.152012 | + | 0.988379i | \(0.548575\pi\) | |||||||
\(644\) | 18.5795 | − | 2.46966i | 0.732135 | − | 0.0973182i | ||||
\(645\) | 21.1972 | − | 21.1972i | 0.834640 | − | 0.834640i | ||||
\(646\) | 1.31885 | − | 1.13817i | 0.0518894 | − | 0.0447809i | ||||
\(647\) | −34.8692 | − | 20.1317i | −1.37085 | − | 0.791460i | −0.379814 | − | 0.925063i | \(-0.624012\pi\) |
−0.991035 | + | 0.133603i | \(0.957345\pi\) | |||||||
\(648\) | 4.09905 | − | 4.45506i | 0.161026 | − | 0.175011i | ||||
\(649\) | 0.881532 | + | 1.52686i | 0.0346032 | + | 0.0599344i | ||||
\(650\) | 4.23433 | − | 0.807314i | 0.166084 | − | 0.0316654i | ||||
\(651\) | 15.2815 | + | 8.47667i | 0.598929 | + | 0.332227i | ||||
\(652\) | 0.766185 | + | 0.331735i | 0.0300061 | + | 0.0129918i | ||||
\(653\) | −6.02549 | + | 22.4874i | −0.235796 | + | 0.880001i | 0.741993 | + | 0.670408i | \(0.233881\pi\) |
−0.977789 | + | 0.209594i | \(0.932786\pi\) | |||||||
\(654\) | 0.0473980 | − | 0.0229074i | 0.00185341 | − | 0.000895749i | ||||
\(655\) | −7.54420 | − | 4.35564i | −0.294776 | − | 0.170189i | ||||
\(656\) | 36.8034 | + | 11.1273i | 1.43693 | + | 0.434447i | ||||
\(657\) | − | 4.86507i | − | 0.189805i | ||||||
\(658\) | −21.0712 | + | 4.39326i | −0.821443 | + | 0.171267i | ||||
\(659\) | −21.3113 | + | 21.3113i | −0.830171 | + | 0.830171i | −0.987540 | − | 0.157369i | \(-0.949699\pi\) |
0.157369 | + | 0.987540i | \(0.449699\pi\) | |||||||
\(660\) | −0.822598 | − | 7.12169i | −0.0320196 | − | 0.277212i | ||||
\(661\) | −10.5663 | + | 2.83124i | −0.410983 | + | 0.110122i | −0.458386 | − | 0.888753i | \(-0.651572\pi\) |
0.0474031 | + | 0.998876i | \(0.484905\pi\) | |||||||
\(662\) | −7.47692 | + | 21.4640i | −0.290599 | + | 0.834224i | ||||
\(663\) | −2.86904 | + | 1.65644i | −0.111424 | + | 0.0643309i | ||||
\(664\) | −16.6728 | − | 26.2892i | −0.647031 | − | 1.02022i | ||||
\(665\) | −1.20681 | + | 1.24893i | −0.0467980 | + | 0.0484316i | ||||
\(666\) | −34.7701 | + | 6.62923i | −1.34731 | + | 0.256877i | ||||
\(667\) | 2.38911 | − | 8.91627i | 0.0925066 | − | 0.345239i | ||||
\(668\) | 0.927228 | − | 6.27070i | 0.0358755 | − | 0.242621i | ||||
\(669\) | −19.4095 | + | 5.20076i | −0.750415 | + | 0.201073i | ||||
\(670\) | −36.5005 | − | 2.68401i | −1.41014 | − | 0.103692i | ||||
\(671\) | 1.64270 | 0.0634156 | ||||||||
\(672\) | 4.70370 | − | 12.8917i | 0.181449 | − | 0.497307i | ||||
\(673\) | 35.4992 | 1.36839 | 0.684197 | − | 0.729297i | \(-0.260153\pi\) | ||||
0.684197 | + | 0.729297i | \(0.260153\pi\) | |||||||
\(674\) | −21.5659 | − | 1.58581i | −0.830686 | − | 0.0610833i | ||||
\(675\) | −22.8847 | + | 6.13194i | −0.880833 | + | 0.236019i | ||||
\(676\) | −3.69482 | + | 24.9875i | −0.142109 | + | 0.961058i | ||||
\(677\) | −7.81038 | + | 29.1487i | −0.300177 | + | 1.12028i | 0.636840 | + | 0.770996i | \(0.280241\pi\) |
−0.937018 | + | 0.349282i | \(0.886426\pi\) | |||||||
\(678\) | 14.1104 | − | 2.69027i | 0.541905 | − | 0.103319i | ||||
\(679\) | −27.2907 | − | 6.81304i | −1.04732 | − | 0.261461i | ||||
\(680\) | −44.8605 | + | 28.4509i | −1.72032 | + | 1.09104i | ||||
\(681\) | 9.20109 | − | 5.31225i | 0.352586 | − | 0.203566i | ||||
\(682\) | 4.14124 | − | 11.8883i | 0.158576 | − | 0.455226i | ||||
\(683\) | −32.3188 | + | 8.65981i | −1.23665 | + | 0.331358i | −0.817164 | − | 0.576405i | \(-0.804455\pi\) |
−0.419482 | + | 0.907764i | \(0.637788\pi\) | |||||||
\(684\) | −0.102818 | − | 0.890154i | −0.00393135 | − | 0.0340359i | ||||
\(685\) | −4.36983 | + | 4.36983i | −0.166963 | + | 0.166963i | ||||
\(686\) | 18.9222 | − | 18.1094i | 0.722452 | − | 0.691422i | ||||
\(687\) | 19.9249i | 0.760180i | ||||||||
\(688\) | −19.5201 | − | 36.4390i | −0.744198 | − | 1.38923i | ||||
\(689\) | 2.71939 | + | 1.57004i | 0.103601 | + | 0.0598138i | ||||
\(690\) | 13.0826 | − | 6.32280i | 0.498046 | − | 0.240705i | ||||
\(691\) | −11.6842 | + | 43.6058i | −0.444486 | + | 1.65884i | 0.272804 | + | 0.962070i | \(0.412049\pi\) |
−0.717290 | + | 0.696775i | \(0.754618\pi\) | |||||||
\(692\) | −41.9702 | − | 18.1719i | −1.59547 | − | 0.690790i | ||||
\(693\) | 3.63420 | + | 6.05245i | 0.138052 | + | 0.229913i | ||||
\(694\) | 38.2886 | − | 7.30006i | 1.45341 | − | 0.277107i | ||||
\(695\) | −11.6829 | − | 20.2354i | −0.443159 | − | 0.767573i | ||||
\(696\) | −4.97356 | − | 4.57612i | −0.188522 | − | 0.173457i | ||||
\(697\) | −49.4197 | − | 28.5325i | −1.87190 | − | 1.08074i | ||||
\(698\) | −25.8621 | + | 22.3191i | −0.978893 | + | 0.844791i | ||||
\(699\) | 8.10207 | − | 8.10207i | 0.306448 | − | 0.306448i | ||||
\(700\) | 21.0047 | − | 16.1592i | 0.793904 | − | 0.610762i | ||||
\(701\) | 7.35956 | + | 7.35956i | 0.277967 | + | 0.277967i | 0.832297 | − | 0.554330i | \(-0.187026\pi\) |
−0.554330 | + | 0.832297i | \(0.687026\pi\) | |||||||
\(702\) | −0.298592 | + | 4.06062i | −0.0112696 | + | 0.153258i | ||||
\(703\) | −1.20256 | + | 2.08289i | −0.0453554 | + | 0.0785578i | ||||
\(704\) | −9.72866 | − | 1.75635i | −0.366663 | − | 0.0661949i | ||||
\(705\) | −14.4511 | + | 8.34334i | −0.544259 | + | 0.314228i | ||||
\(706\) | −27.4077 | − | 18.6301i | −1.03150 | − | 0.701154i | ||||
\(707\) | 0.0578713 | + | 3.37355i | 0.00217647 | + | 0.126875i | ||||
\(708\) | 0.962664 | + | 2.43280i | 0.0361791 | + | 0.0914302i | ||||
\(709\) | −5.98162 | − | 1.60277i | −0.224644 | − | 0.0601933i | 0.144741 | − | 0.989470i | \(-0.453765\pi\) |
−0.369385 | + | 0.929276i | \(0.620432\pi\) | |||||||
\(710\) | 20.3048 | − | 58.2892i | 0.762027 | − | 2.18756i | ||||
\(711\) | −1.83950 | + | 3.18611i | −0.0689867 | + | 0.119488i | ||||
\(712\) | 5.16265 | + | 16.4910i | 0.193479 | + | 0.618025i | ||||
\(713\) | 25.5155 | 0.955563 | ||||||||
\(714\) | −11.1592 | + | 17.0383i | −0.417623 | + | 0.637641i | ||||
\(715\) | −1.68239 | − | 1.68239i | −0.0629179 | − | 0.0629179i | ||||
\(716\) | 3.15659 | + | 27.3284i | 0.117967 | + | 1.02131i | ||||
\(717\) | 1.82962 | + | 6.82825i | 0.0683286 | + | 0.255006i | ||||
\(718\) | −5.36343 | − | 11.0976i | −0.200162 | − | 0.414157i | ||||
\(719\) | −9.05536 | − | 15.6843i | −0.337708 | − | 0.584927i | 0.646293 | − | 0.763089i | \(-0.276318\pi\) |
−0.984001 | + | 0.178162i | \(0.942985\pi\) | |||||||
\(720\) | −0.868948 | + | 27.3105i | −0.0323838 | + | 1.01780i | ||||
\(721\) | −7.15527 | − | 24.9817i | −0.266476 | − | 0.930368i | ||||
\(722\) | 22.1719 | + | 15.0712i | 0.825152 | + | 0.560890i | ||||
\(723\) | −9.72085 | − | 2.60469i | −0.361522 | − | 0.0968696i | ||||
\(724\) | 8.45242 | + | 11.3858i | 0.314132 | + | 0.423151i | ||||
\(725\) | −3.37804 | − | 12.6070i | −0.125457 | − | 0.468213i | ||||
\(726\) | 9.29937 | − | 8.02542i | 0.345132 | − | 0.297851i | ||||
\(727\) | 39.2154i | 1.45442i | 0.686415 | + | 0.727210i | \(0.259183\pi\) | ||||
−0.686415 | + | 0.727210i | \(0.740817\pi\) | |||||||
\(728\) | −1.43502 | − | 4.32239i | −0.0531854 | − | 0.160199i | ||||
\(729\) | − | 8.39075i | − | 0.310768i | ||||||
\(730\) | 6.58593 | + | 7.63138i | 0.243756 | + | 0.282450i | ||||
\(731\) | 15.8794 | + | 59.2627i | 0.587321 | + | 2.19191i | ||||
\(732\) | 2.41150 | + | 0.356580i | 0.0891315 | + | 0.0131796i | ||||
\(733\) | 11.8473 | + | 3.17448i | 0.437591 | + | 0.117252i | 0.470887 | − | 0.882193i | \(-0.343934\pi\) |
−0.0332965 | + | 0.999446i | \(0.510601\pi\) | |||||||
\(734\) | −2.24844 | + | 3.30779i | −0.0829915 | + | 0.122093i | ||||
\(735\) | 9.54336 | − | 17.9225i | 0.352012 | − | 0.661080i | ||||
\(736\) | −3.12482 | − | 19.7919i | −0.115182 | − | 0.729538i | ||||
\(737\) | 5.05444 | + | 8.75454i | 0.186183 | + | 0.322478i | ||||
\(738\) | −26.4280 | + | 12.7726i | −0.972827 | + | 0.470166i | ||||
\(739\) | −6.44036 | − | 24.0358i | −0.236913 | − | 0.884170i | −0.977277 | − | 0.211964i | \(-0.932014\pi\) |
0.740365 | − | 0.672205i | \(-0.234653\pi\) | |||||||
\(740\) | 45.5665 | − | 57.4675i | 1.67506 | − | 2.11255i | ||||
\(741\) | 0.0818741 | + | 0.0818741i | 0.00300772 | + | 0.00300772i | ||||
\(742\) | 19.2745 | + | 1.08531i | 0.707588 | + | 0.0398430i | ||||
\(743\) | 18.0234 | 0.661215 | 0.330608 | − | 0.943768i | \(-0.392746\pi\) | ||||
0.330608 | + | 0.943768i | \(0.392746\pi\) | |||||||
\(744\) | 8.65997 | − | 16.5532i | 0.317490 | − | 0.606869i | ||||
\(745\) | −12.0732 | + | 20.9114i | −0.442328 | + | 0.766135i | ||||
\(746\) | 18.9080 | + | 6.58653i | 0.692271 | + | 0.241150i | ||||
\(747\) | 22.9559 | + | 6.15102i | 0.839913 | + | 0.225054i | ||||
\(748\) | 13.4646 | + | 5.82980i | 0.492316 | + | 0.213158i | ||||
\(749\) | −24.0404 | − | 13.3353i | −0.878418 | − | 0.487260i | ||||
\(750\) | 0.0190868 | − | 0.0280794i | 0.000696950 | − | 0.00102532i | ||||
\(751\) | 25.9408 | − | 14.9769i | 0.946594 | − | 0.546516i | 0.0545727 | − | 0.998510i | \(-0.482620\pi\) |
0.892021 | + | 0.451994i | \(0.149287\pi\) | |||||||
\(752\) | 5.24572 | + | 22.4046i | 0.191292 | + | 0.817012i | ||||
\(753\) | 12.2472 | − | 21.2128i | 0.446314 | − | 0.773038i | ||||
\(754\) | −2.23697 | − | 0.164492i | −0.0814656 | − | 0.00599046i | ||||
\(755\) | 31.5555 | + | 31.5555i | 1.14842 | + | 1.14842i | ||||
\(756\) | 9.60815 | + | 23.1144i | 0.349445 | + | 0.840663i | ||||
\(757\) | −11.9616 | + | 11.9616i | −0.434752 | + | 0.434752i | −0.890241 | − | 0.455489i | \(-0.849464\pi\) |
0.455489 | + | 0.890241i | \(0.349464\pi\) | |||||||
\(758\) | −13.3862 | − | 15.5111i | −0.486208 | − | 0.563388i | ||||
\(759\) | −3.47569 | − | 2.00669i | −0.126159 | − | 0.0728382i | ||||
\(760\) | 1.36630 | + | 1.25711i | 0.0495608 | + | 0.0456003i | ||||
\(761\) | 14.7438 | + | 25.5370i | 0.534462 | + | 0.925715i | 0.999189 | + | 0.0402609i | \(0.0128189\pi\) |
−0.464728 | + | 0.885454i | \(0.653848\pi\) | |||||||
\(762\) | 4.39276 | + | 23.0399i | 0.159133 | + | 0.834646i | ||||
\(763\) | −0.00184232 | − | 0.107396i | −6.66965e−5 | − | 0.00388801i | ||||
\(764\) | −9.99138 | + | 3.95361i | −0.361475 | + | 0.143037i | ||||
\(765\) | 10.4962 | − | 39.1725i | 0.379492 | − | 1.41628i | ||||
\(766\) | −3.94735 | − | 8.16753i | −0.142624 | − | 0.295105i | ||||
\(767\) | 0.751980 | + | 0.434156i | 0.0271524 | + | 0.0156765i | ||||
\(768\) | −13.9005 | − | 4.69014i | −0.501593 | − | 0.169241i | ||||
\(769\) | 19.9592i | 0.719746i | 0.933001 | + | 0.359873i | \(0.117180\pi\) | ||||
−0.933001 | + | 0.359873i | \(0.882820\pi\) | |||||||
\(770\) | −13.8939 | − | 4.57423i | −0.500703 | − | 0.164844i | ||||
\(771\) | −11.4369 | + | 11.4369i | −0.411890 | + | 0.411890i | ||||
\(772\) | 0.0892900 | − | 0.112611i | 0.00321362 | − | 0.00405295i | ||||
\(773\) | −9.15439 | + | 2.45291i | −0.329261 | + | 0.0882251i | −0.419662 | − | 0.907680i | \(-0.637852\pi\) |
0.0904018 | + | 0.995905i | \(0.471185\pi\) | |||||||
\(774\) | 29.8021 | + | 10.3814i | 1.07121 | + | 0.373153i | ||||
\(775\) | 31.2439 | − | 18.0387i | 1.12231 | − | 0.647968i | ||||
\(776\) | −6.56825 | + | 29.3443i | −0.235786 | + | 1.05340i | ||||
\(777\) | 6.81091 | − | 27.2821i | 0.244340 | − | 0.978741i | ||||
\(778\) | 4.50459 | + | 23.6264i | 0.161497 | + | 0.847048i | ||||
\(779\) | −0.516203 | + | 1.92650i | −0.0184949 | + | 0.0690239i | ||||
\(780\) | −2.10458 | − | 2.83497i | −0.0753559 | − | 0.101508i | ||||
\(781\) | −16.4678 | + | 4.41253i | −0.589263 | + | 0.157893i | ||||
\(782\) | −2.18090 | + | 29.6586i | −0.0779888 | + | 1.06059i | ||||
\(783\) | 12.3280 | 0.440569 | ||||||||
\(784\) | −19.8484 | − | 19.7495i | −0.708872 | − | 0.705338i | ||||
\(785\) | 46.2396 | 1.65036 | ||||||||
\(786\) | −0.261852 | + | 3.56099i | −0.00933996 | + | 0.127016i | ||||
\(787\) | 50.0852 | − | 13.4203i | 1.78535 | − | 0.478382i | 0.793804 | − | 0.608174i | \(-0.208098\pi\) |
0.991541 | + | 0.129792i | \(0.0414309\pi\) | |||||||
\(788\) | 5.91304 | − | 4.38962i | 0.210643 | − | 0.156374i | ||||
\(789\) | −1.70425 | + | 6.36035i | −0.0606730 | + | 0.226435i | ||||
\(790\) | −1.42764 | − | 7.48792i | −0.0507931 | − | 0.266408i | ||||
\(791\) | 7.09905 | − | 28.4363i | 0.252413 | − | 1.01108i | ||||
\(792\) | 6.37345 | − | 4.04210i | 0.226471 | − | 0.143630i | ||||
\(793\) | 0.700641 | − | 0.404515i | 0.0248805 | − | 0.0143648i | ||||
\(794\) | 14.7781 | + | 5.14790i | 0.524455 | + | 0.182692i | ||||
\(795\) | 14.4562 | − | 3.87352i | 0.512708 | − | 0.137380i | ||||
\(796\) | 16.3198 | + | 12.9401i | 0.578442 | + | 0.458651i | ||||
\(797\) | 17.7503 | − | 17.7503i | 0.628747 | − | 0.628747i | −0.319006 | − | 0.947753i | \(-0.603349\pi\) |
0.947753 | + | 0.319006i | \(0.103349\pi\) | |||||||
\(798\) | 0.676152 | + | 0.222606i | 0.0239355 | + | 0.00788017i | ||||
\(799\) | − | 34.1518i | − | 1.20820i | ||||||
\(800\) | −17.8186 | − | 22.0261i | −0.629982 | − | 0.778740i | ||||
\(801\) | −11.4247 | − | 6.59605i | −0.403672 | − | 0.233060i | ||||
\(802\) | −9.34523 | − | 19.3364i | −0.329991 | − | 0.682790i | ||||
\(803\) | 0.720614 | − | 2.68937i | 0.0254299 | − | 0.0949058i | ||||
\(804\) | 5.51962 | + | 13.9489i | 0.194662 | + | 0.491941i | ||||
\(805\) | −0.508510 | − | 29.6431i | −0.0179226 | − | 1.04478i | ||||
\(806\) | −1.16118 | − | 6.09035i | −0.0409008 | − | 0.214524i | ||||
\(807\) | 8.47012 | + | 14.6707i | 0.298162 | + | 0.516432i | ||||
\(808\) | 3.60389 | − | 0.149990i | 0.126784 | − | 0.00527662i | ||||
\(809\) | 10.0608 | + | 5.80862i | 0.353720 | + | 0.204220i | 0.666322 | − | 0.745664i | \(-0.267867\pi\) |
−0.312603 | + | 0.949884i | \(0.601201\pi\) | |||||||
\(810\) | −6.25647 | − | 7.24962i | −0.219830 | − | 0.254726i | ||||
\(811\) | −21.2042 | + | 21.2042i | −0.744579 | + | 0.744579i | −0.973455 | − | 0.228877i | \(-0.926495\pi\) |
0.228877 | + | 0.973455i | \(0.426495\pi\) | |||||||
\(812\) | −12.7336 | + | 5.29306i | −0.446860 | + | 0.185750i | ||||
\(813\) | 0.639052 | + | 0.639052i | 0.0224125 | + | 0.0224125i | ||||
\(814\) | −20.2025 | − | 1.48556i | −0.708098 | − | 0.0520690i | ||||
\(815\) | 0.660334 | − | 1.14373i | 0.0231305 | − | 0.0400632i | ||||
\(816\) | 18.5008 | + | 11.4810i | 0.647657 | + | 0.401915i | ||||
\(817\) | 1.85705 | − | 1.07217i | 0.0649700 | − | 0.0375105i | ||||
\(818\) | 4.22210 | − | 6.21133i | 0.147622 | − | 0.217174i | ||||
\(819\) | 3.04047 | + | 1.68656i | 0.106243 | + | 0.0589331i | ||||
\(820\) | 24.1646 | − | 55.8112i | 0.843865 | − | 1.94901i | ||||
\(821\) | −26.2764 | − | 7.04075i | −0.917054 | − | 0.245724i | −0.230728 | − | 0.973018i | \(-0.574111\pi\) |
−0.686326 | + | 0.727294i | \(0.740778\pi\) | |||||||
\(822\) | 2.39205 | + | 0.833260i | 0.0834322 | + | 0.0290633i | ||||
\(823\) | −0.476705 | + | 0.825677i | −0.0166169 | + | 0.0287813i | −0.874214 | − | 0.485540i | \(-0.838623\pi\) |
0.857597 | + | 0.514322i | \(0.171956\pi\) | |||||||
\(824\) | −26.5117 | + | 8.29972i | −0.923577 | + | 0.289134i | ||||
\(825\) | −5.67466 | −0.197566 | ||||||||
\(826\) | 5.32987 | + | 0.300115i | 0.185450 | + | 0.0104423i | ||||
\(827\) | 0.699424 | + | 0.699424i | 0.0243213 | + | 0.0243213i | 0.719163 | − | 0.694842i | \(-0.244526\pi\) |
−0.694842 | + | 0.719163i | \(0.744526\pi\) | |||||||
\(828\) | 11.9861 | + | 9.50388i | 0.416546 | + | 0.330283i | ||||
\(829\) | −10.6173 | − | 39.6244i | −0.368755 | − | 1.37621i | −0.862259 | − | 0.506468i | \(-0.830951\pi\) |
0.493504 | − | 0.869743i | \(-0.335716\pi\) | |||||||
\(830\) | −44.3355 | + | 21.4273i | −1.53891 | + | 0.743752i | ||||
\(831\) | 0.0400588 | + | 0.0693838i | 0.00138962 | + | 0.00240690i | ||||
\(832\) | −4.58196 | + | 1.64657i | −0.158851 | + | 0.0570847i | ||||
\(833\) | 22.0007 | + | 35.2557i | 0.762280 | + | 1.22154i | ||||
\(834\) | −5.38399 | + | 7.92063i | −0.186432 | + | 0.274269i | ||||
\(835\) | −9.68515 | − | 2.59513i | −0.335168 | − | 0.0898081i | ||||
\(836\) | 0.0750126 | − | 0.507299i | 0.00259437 | − | 0.0175453i | ||||
\(837\) | 8.81974 | + | 32.9157i | 0.304855 | + | 1.13773i | ||||
\(838\) | 10.1076 | + | 11.7121i | 0.349161 | + | 0.404587i | ||||
\(839\) | − | 5.46062i | − | 0.188522i | −0.995548 | − | 0.0942608i | \(-0.969951\pi\) | ||
0.995548 | − | 0.0942608i | \(-0.0300488\pi\) | |||||||
\(840\) | −19.4035 | − | 9.73098i | −0.669486 | − | 0.335751i | ||||
\(841\) | − | 22.2086i | − | 0.765813i | ||||||
\(842\) | 7.25497 | − | 6.26108i | 0.250023 | − | 0.215771i | ||||
\(843\) | 3.31147 | + | 12.3586i | 0.114053 | + | 0.425653i | ||||
\(844\) | 5.22578 | − | 3.87942i | 0.179879 | − | 0.133535i | ||||
\(845\) | 38.5934 | + | 10.3411i | 1.32765 | + | 0.355744i | ||||
\(846\) | −14.5282 | − | 9.87540i | −0.499488 | − | 0.339523i | ||||
\(847\) | −6.90107 | − | 24.0942i | −0.237124 | − | 0.827887i | ||||
\(848\) | 0.656311 | − | 20.6275i | 0.0225378 | − | 0.708351i | ||||
\(849\) | 6.05809 | + | 10.4929i | 0.207913 | + | 0.360116i | ||||
\(850\) | 18.2971 | + | 37.8589i | 0.627586 | + | 1.29855i | ||||
\(851\) | −10.6265 | − | 39.6585i | −0.364270 | − | 1.35947i | ||||
\(852\) | −25.1327 | + | 2.90298i | −0.861033 | + | 0.0994544i | ||||
\(853\) | 35.1393 | + | 35.1393i | 1.20315 | + | 1.20315i | 0.973204 | + | 0.229943i | \(0.0738540\pi\) |
0.229943 | + | 0.973204i | \(0.426146\pi\) | |||||||
\(854\) | 2.72516 | − | 4.16087i | 0.0932531 | − | 0.142382i | ||||
\(855\) | −1.41740 | −0.0484741 | ||||||||
\(856\) | −13.6236 | + | 26.0410i | −0.465646 | + | 0.890064i | ||||
\(857\) | −22.4781 | + | 38.9331i | −0.767836 | + | 1.32993i | 0.170899 | + | 0.985289i | \(0.445333\pi\) |
−0.938734 | + | 0.344642i | \(0.888000\pi\) | |||||||
\(858\) | −0.320807 | + | 0.920941i | −0.0109522 | + | 0.0314404i | ||||
\(859\) | 22.2036 | + | 5.94943i | 0.757577 | + | 0.202992i | 0.616876 | − | 0.787060i | \(-0.288398\pi\) |
0.140700 | + | 0.990052i | \(0.455065\pi\) | |||||||
\(860\) | −60.8012 | + | 24.0592i | −2.07330 | + | 0.820411i | ||||
\(861\) | −0.399951 | − | 23.3148i | −0.0136303 | − | 0.794565i | ||||
\(862\) | 2.97862 | + | 2.02469i | 0.101452 | + | 0.0689614i | ||||
\(863\) | 28.2948 | − | 16.3360i | 0.963168 | − | 0.556085i | 0.0660212 | − | 0.997818i | \(-0.478969\pi\) |
0.897147 | + | 0.441733i | \(0.145636\pi\) | |||||||
\(864\) | 24.4519 | − | 10.8724i | 0.831871 | − | 0.369886i | ||||
\(865\) | −36.1719 | + | 62.6515i | −1.22988 | + | 2.13021i | ||||
\(866\) | 1.97457 | − | 26.8527i | 0.0670987 | − | 0.912490i | ||||
\(867\) | −11.8290 | − | 11.8290i | −0.401734 | − | 0.401734i | ||||
\(868\) | −23.2422 | − | 30.2117i | −0.788893 | − | 1.02545i | ||||
\(869\) | −1.48879 | + | 1.48879i | −0.0505036 | + | 0.0505036i | ||||
\(870\) | −8.09336 | + | 6.98462i | −0.274391 | + | 0.236801i | ||||
\(871\) | 4.31162 | + | 2.48932i | 0.146094 | + | 0.0843473i | ||||
\(872\) | −0.114729 | + | 0.00477490i | −0.00388522 | + | 0.000161698i | ||||
\(873\) | −11.4782 | − | 19.8808i | −0.388479 | − | 0.672865i | ||||
\(874\) | 1.02099 | − | 0.194662i | 0.0345356 | − | 0.00658452i | ||||
\(875\) | −0.0356617 | − | 0.0593914i | −0.00120558 | − | 0.00200780i | ||||
\(876\) | 1.64165 | − | 3.79160i | 0.0554663 | − | 0.128106i | ||||
\(877\) | −4.66251 | + | 17.4007i | −0.157442 | + | 0.587580i | 0.841442 | + | 0.540347i | \(0.181707\pi\) |
−0.998884 | + | 0.0472331i | \(0.984960\pi\) | |||||||
\(878\) | 22.3955 | − | 10.8237i | 0.755812 | − | 0.365283i | ||||
\(879\) | −1.25712 | − | 0.725800i | −0.0424017 | − | 0.0244806i | ||||
\(880\) | −4.52558 | + | 14.9683i | −0.152557 | + | 0.504582i | ||||
\(881\) | 21.0017i | 0.707564i | 0.935328 | + | 0.353782i | \(0.115105\pi\) | ||||
−0.935328 | + | 0.353782i | \(0.884895\pi\) | |||||||
\(882\) | 21.3595 | + | 0.835498i | 0.719212 | + | 0.0281327i | ||||
\(883\) | −29.0326 | + | 29.0326i | −0.977024 | + | 0.977024i | −0.999742 | − | 0.0227184i | \(-0.992768\pi\) |
0.0227184 | + | 0.999742i | \(0.492768\pi\) | |||||||
\(884\) | 7.17851 | − | 0.829161i | 0.241440 | − | 0.0278877i | ||||
\(885\) | 3.99749 | − | 1.07112i | 0.134374 | − | 0.0360055i | ||||
\(886\) | 12.5759 | − | 36.1018i | 0.422496 | − | 1.21286i | ||||
\(887\) | −33.1149 | + | 19.1189i | −1.11189 | + | 0.641949i | −0.939318 | − | 0.343048i | \(-0.888541\pi\) |
−0.172571 | + | 0.984997i | \(0.555207\pi\) | |||||||
\(888\) | −29.3350 | − | 6.56619i | −0.984420 | − | 0.220347i | ||||
\(889\) | 46.4317 | + | 11.5916i | 1.55727 | + | 0.388768i | ||||
\(890\) | 26.8500 | − | 5.11920i | 0.900015 | − | 0.171596i | ||||
\(891\) | −0.684565 | + | 2.55483i | −0.0229338 | + | 0.0855901i | ||||
\(892\) | 43.3591 | + | 6.41137i | 1.45177 | + | 0.214669i | ||||
\(893\) | −1.15296 | + | 0.308934i | −0.0385822 | + | 0.0103381i | ||||
\(894\) | 9.87055 | + | 0.725817i | 0.330120 | + | 0.0242749i | ||||
\(895\) | 43.5153 | 1.45456 | ||||||||
\(896\) | −20.5882 | + | 21.7285i | −0.687802 | + | 0.725898i | ||||
\(897\) | −1.97659 | −0.0659966 | ||||||||
\(898\) | −6.49208 | − | 0.477386i | −0.216643 | − | 0.0159306i | ||||
\(899\) | −18.1330 | + | 4.85873i | −0.604770 | + | 0.162048i | ||||
\(900\) | 21.3960 | + | 3.16375i | 0.713199 | + | 0.105458i | ||||
\(901\) | −7.92774 | + | 29.5867i | −0.264111 | + | 0.985677i | ||||
\(902\) | −16.5010 | + | 3.14607i | −0.549424 | + | 0.104753i | ||||
\(903\) | −17.4209 | + | 18.0290i | −0.579730 | + | 0.599967i | ||||
\(904\) | −30.5761 | − | 6.84398i | −1.01695 | − | 0.227627i | ||||
\(905\) | 19.4252 | − | 11.2151i | 0.645715 | − | 0.372804i | ||||
\(906\) | 6.01715 | − | 17.2735i | 0.199906 | − | 0.573872i | ||||
\(907\) | 51.5149 | − | 13.8034i | 1.71052 | − | 0.458334i | 0.734972 | − | 0.678098i | \(-0.237195\pi\) |
0.975553 | + | 0.219764i | \(0.0705288\pi\) | |||||||
\(908\) | −23.0217 | + | 2.65914i | −0.764000 | + | 0.0882466i | ||||
\(909\) | −1.94714 | + | 1.94714i | −0.0645826 | + | 0.0645826i | ||||
\(910\) | −7.05243 | + | 1.47040i | −0.233786 | + | 0.0487432i | ||||
\(911\) | − | 20.1673i | − | 0.668171i | −0.942543 | − | 0.334086i | \(-0.891573\pi\) | ||
0.942543 | − | 0.334086i | \(-0.108427\pi\) | |||||||
\(912\) | 0.220239 | − | 0.728438i | 0.00729284 | − | 0.0241210i | ||||
\(913\) | 11.7787 | + | 6.80046i | 0.389819 | + | 0.225062i | ||||
\(914\) | −32.8266 | + | 15.8651i | −1.08581 | + | 0.524769i | ||||
\(915\) | 0.997998 | − | 3.72458i | 0.0329928 | − | 0.123131i | ||||
\(916\) | 17.2683 | − | 39.8833i | 0.570560 | − | 1.31778i | ||||
\(917\) | 6.37087 | + | 3.53393i | 0.210385 | + | 0.116701i | ||||
\(918\) | −39.0142 | + | 7.43841i | −1.28766 | + | 0.245504i | ||||
\(919\) | 6.69691 | + | 11.5994i | 0.220911 | + | 0.382628i | 0.955085 | − | 0.296333i | \(-0.0957638\pi\) |
−0.734174 | + | 0.678961i | \(0.762430\pi\) | |||||||
\(920\) | −31.6670 | + | 1.31795i | −1.04403 | + | 0.0434514i | ||||
\(921\) | 17.8100 | + | 10.2826i | 0.586859 | + | 0.338823i | ||||
\(922\) | 6.67250 | − | 5.75841i | 0.219747 | − | 0.189643i | ||||
\(923\) | −5.93723 | + | 5.93723i | −0.195426 | + | 0.195426i | ||||
\(924\) | 0.790006 | + | 5.94330i | 0.0259893 | + | 0.195520i | ||||
\(925\) | −41.0494 | − | 41.0494i | −1.34970 | − | 1.34970i | ||||
\(926\) | −3.21897 | + | 43.7755i | −0.105782 | + | 1.43855i | ||||
\(927\) | 10.6041 | − | 18.3669i | 0.348285 | − | 0.603247i | ||||
\(928\) | 5.98953 | + | 13.4704i | 0.196616 | + | 0.442187i | ||||
\(929\) | 34.7602 | − | 20.0688i | 1.14044 | − | 0.658436i | 0.193904 | − | 0.981020i | \(-0.437885\pi\) |
0.946541 | + | 0.322584i | \(0.104552\pi\) | |||||||
\(930\) | −24.4390 | − | 16.6122i | −0.801386 | − | 0.544736i | ||||
\(931\) | 0.991206 | − | 1.06166i | 0.0324855 | − | 0.0347944i | ||||
\(932\) | −23.2396 | + | 9.19597i | −0.761239 | + | 0.301224i | ||||
\(933\) | −25.2796 | − | 6.77364i | −0.827616 | − | 0.221759i | ||||
\(934\) | 16.9506 | − | 48.6601i | 0.554639 | − | 1.59221i | ||||
\(935\) | 11.6045 | − | 20.0995i | 0.379506 | − | 0.657324i | ||||
\(936\) | 1.72303 | − | 3.29350i | 0.0563189 | − | 0.107651i | ||||
\(937\) | −3.61135 | −0.117978 | −0.0589888 | − | 0.998259i | \(-0.518788\pi\) | ||||
−0.0589888 | + | 0.998259i | \(0.518788\pi\) | |||||||
\(938\) | 30.5599 | + | 1.72077i | 0.997816 | + | 0.0561852i | ||||
\(939\) | 0.0404090 | + | 0.0404090i | 0.00131870 | + | 0.00131870i | ||||
\(940\) | 36.1575 | − | 4.17640i | 1.17933 | − | 0.136219i | ||||
\(941\) | −3.66828 | − | 13.6902i | −0.119583 | − | 0.446288i | 0.880006 | − | 0.474962i | \(-0.157538\pi\) |
−0.999589 | + | 0.0286739i | \(0.990872\pi\) | |||||||
\(942\) | −8.24718 | − | 17.0644i | −0.268708 | − | 0.555987i | ||||
\(943\) | −17.0236 | − | 29.4857i | −0.554363 | − | 0.960185i | ||||
\(944\) | 0.181487 | − | 5.70401i | 0.00590688 | − | 0.185650i | ||||
\(945\) | 38.0646 | − | 10.9025i | 1.23824 | − | 0.354657i | ||||
\(946\) | 14.9366 | + | 10.1530i | 0.485631 | + | 0.330104i | ||||
\(947\) | −42.8152 | − | 11.4723i | −1.39131 | − | 0.372799i | −0.516091 | − | 0.856534i | \(-0.672613\pi\) |
−0.875215 | + | 0.483734i | \(0.839280\pi\) | |||||||
\(948\) | −2.50873 | + | 1.86239i | −0.0814797 | + | 0.0604875i | ||||
\(949\) | −0.354903 | − | 1.32452i | −0.0115207 | − | 0.0429957i | ||||
\(950\) | 1.11259 | − | 0.960174i | 0.0360972 | − | 0.0311521i | ||||
\(951\) | − | 20.8115i | − | 0.674858i | ||||||
\(952\) | 37.1038 | − | 24.4339i | 1.20254 | − | 0.791907i | ||||
\(953\) | 54.7099i | 1.77223i | 0.463467 | + | 0.886114i | \(0.346605\pi\) | ||||
−0.463467 | + | 0.886114i | \(0.653395\pi\) | |||||||
\(954\) | 10.2938 | + | 11.9278i | 0.333273 | + | 0.386177i | ||||
\(955\) | 4.39905 | + | 16.4175i | 0.142350 | + | 0.531258i | ||||
\(956\) | 2.25551 | − | 15.2537i | 0.0729485 | − | 0.493340i | ||||
\(957\) | 2.85217 | + | 0.764238i | 0.0921977 | + | 0.0247043i | ||||
\(958\) | 7.58290 | − | 11.1556i | 0.244992 | − | 0.360420i | ||||
\(959\) | 3.59133 | − | 3.71670i | 0.115970 | − | 0.120018i | ||||
\(960\) | −9.89278 | + | 20.9913i | −0.319288 | + | 0.677491i | ||||
\(961\) | −10.4455 | − | 18.0921i | −0.336951 | − | 0.583616i | ||||
\(962\) | −8.98257 | + | 4.34126i | −0.289610 | + | 0.139968i | ||||
\(963\) | −5.80701 | − | 21.6721i | −0.187128 | − | 0.698373i | ||||
\(964\) | 17.2007 | + | 13.6386i | 0.553996 | + | 0.439268i | ||||
\(965\) | −0.160744 | − | 0.160744i | −0.00517454 | − | 0.00517454i | ||||
\(966\) | −10.8489 | + | 5.47473i | −0.349056 | + | 0.176146i | ||||
\(967\) | −57.5321 | −1.85011 | −0.925054 | − | 0.379836i | \(-0.875980\pi\) | ||||
−0.925054 | + | 0.379836i | \(0.875980\pi\) | |||||||
\(968\) | −25.5698 | + | 8.00487i | −0.821845 | + | 0.257286i | ||||
\(969\) | −0.564734 | + | 0.978148i | −0.0181419 | + | 0.0314227i | ||||
\(970\) | 44.9178 | + | 15.6470i | 1.44222 | + | 0.502394i | ||||
\(971\) | −15.8100 | − | 4.23628i | −0.507367 | − | 0.135949i | −0.00395008 | − | 0.999992i | \(-0.501257\pi\) |
−0.503417 | + | 0.864044i | \(0.667924\pi\) | |||||||
\(972\) | −12.8370 | + | 29.6487i | −0.411748 | + | 0.950984i | ||||
\(973\) | 10.0594 | + | 16.7531i | 0.322490 | + | 0.537079i | ||||
\(974\) | −2.21878 | + | 3.26415i | −0.0710944 | + | 0.104590i | ||||
\(975\) | −2.42035 | + | 1.39739i | −0.0775132 | + | 0.0447523i | ||||
\(976\) | −4.51802 | − | 2.80374i | −0.144618 | − | 0.0897455i | ||||
\(977\) | −17.3630 | + | 30.0736i | −0.555491 | + | 0.962139i | 0.442374 | + | 0.896831i | \(0.354136\pi\) |
−0.997865 | + | 0.0653083i | \(0.979197\pi\) | |||||||
\(978\) | −0.539861 | − | 0.0396979i | −0.0172628 | − | 0.00126940i | ||||
\(979\) | −5.33846 | − | 5.33846i | −0.170618 | − | 0.170618i | ||||
\(980\) | −34.6357 | + | 27.6042i | −1.10640 | + | 0.881783i | ||||
\(981\) | 0.0619868 | − | 0.0619868i | 0.00197909 | − | 0.00197909i | ||||
\(982\) | −19.4808 | − | 22.5732i | −0.621656 | − | 0.720338i | ||||
\(983\) | 18.2841 | + | 10.5563i | 0.583173 | + | 0.336695i | 0.762393 | − | 0.647114i | \(-0.224024\pi\) |
−0.179220 | + | 0.983809i | \(0.557358\pi\) | |||||||
\(984\) | −24.9066 | + | 1.03659i | −0.793994 | + | 0.0330452i | ||||
\(985\) | −5.82439 | − | 10.0881i | −0.185581 | − | 0.321435i | ||||
\(986\) | −4.09777 | − | 21.4926i | −0.130499 | − | 0.684465i | ||||
\(987\) | 11.9642 | − | 7.18391i | 0.380824 | − | 0.228667i | ||||
\(988\) | −0.0929284 | − | 0.234844i | −0.00295645 | − | 0.00747139i | ||||
\(989\) | −9.47426 | + | 35.3584i | −0.301264 | + | 1.12433i | ||||
\(990\) | −5.19475 | − | 10.7485i | −0.165100 | − | 0.341611i | ||||
\(991\) | −31.5056 | − | 18.1898i | −1.00081 | − | 0.577817i | −0.0923215 | − | 0.995729i | \(-0.529429\pi\) |
−0.908488 | + | 0.417912i | \(0.862762\pi\) | |||||||
\(992\) | −31.6807 | + | 25.6289i | −1.00586 | + | 0.813719i | ||||
\(993\) | − | 14.7364i | − | 0.467644i | ||||||
\(994\) | −16.1426 | + | 49.0322i | −0.512012 | + | 1.55521i | ||||
\(995\) | 23.2955 | − | 23.2955i | 0.738516 | − | 0.738516i | ||||
\(996\) | 15.8151 | + | 12.5400i | 0.501122 | + | 0.397344i | ||||
\(997\) | −48.0643 | + | 12.8788i | −1.52221 | + | 0.407875i | −0.920469 | − | 0.390816i | \(-0.872193\pi\) |
−0.601742 | + | 0.798691i | \(0.705526\pi\) | |||||||
\(998\) | 18.8928 | + | 6.58124i | 0.598041 | + | 0.208325i | ||||
\(999\) | 47.4873 | − | 27.4168i | 1.50243 | − | 0.867430i |
(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 | 112.2.v.a.3.14 | ✓ | 56 | |
4.3 | odd | 2 | 448.2.z.a.367.9 | 56 | |||
7.2 | even | 3 | 784.2.w.f.19.4 | 56 | |||
7.3 | odd | 6 | 784.2.j.a.195.9 | 56 | |||
7.4 | even | 3 | 784.2.j.a.195.10 | 56 | |||
7.5 | odd | 6 | inner | 112.2.v.a.19.4 | yes | 56 | |
7.6 | odd | 2 | 784.2.w.f.227.14 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.479.6 | 56 | |||
8.5 | even | 2 | 896.2.z.b.479.9 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.31.9 | 56 | |||
16.5 | even | 4 | 448.2.z.a.143.9 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.59.4 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.31.6 | 56 | |||
28.19 | even | 6 | 448.2.z.a.47.9 | 56 | |||
56.5 | odd | 6 | 896.2.z.b.607.9 | 56 | |||
56.19 | even | 6 | 896.2.z.a.607.6 | 56 | |||
112.5 | odd | 12 | 448.2.z.a.271.9 | 56 | |||
112.11 | odd | 12 | 784.2.j.a.587.9 | 56 | |||
112.19 | even | 12 | 896.2.z.b.159.9 | 56 | |||
112.27 | even | 4 | 784.2.w.f.619.4 | 56 | |||
112.59 | even | 12 | 784.2.j.a.587.10 | 56 | |||
112.61 | odd | 12 | 896.2.z.a.159.6 | 56 | |||
112.75 | even | 12 | inner | 112.2.v.a.75.14 | yes | 56 | |
112.107 | odd | 12 | 784.2.w.f.411.14 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.14 | ✓ | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.19.4 | yes | 56 | 7.5 | odd | 6 | inner | |
112.2.v.a.59.4 | yes | 56 | 16.11 | odd | 4 | inner | |
112.2.v.a.75.14 | yes | 56 | 112.75 | even | 12 | inner | |
448.2.z.a.47.9 | 56 | 28.19 | even | 6 | |||
448.2.z.a.143.9 | 56 | 16.5 | even | 4 | |||
448.2.z.a.271.9 | 56 | 112.5 | odd | 12 | |||
448.2.z.a.367.9 | 56 | 4.3 | odd | 2 | |||
784.2.j.a.195.9 | 56 | 7.3 | odd | 6 | |||
784.2.j.a.195.10 | 56 | 7.4 | even | 3 | |||
784.2.j.a.587.9 | 56 | 112.11 | odd | 12 | |||
784.2.j.a.587.10 | 56 | 112.59 | even | 12 | |||
784.2.w.f.19.4 | 56 | 7.2 | even | 3 | |||
784.2.w.f.227.14 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.411.14 | 56 | 112.107 | odd | 12 | |||
784.2.w.f.619.4 | 56 | 112.27 | even | 4 | |||
896.2.z.a.31.6 | 56 | 16.13 | even | 4 | |||
896.2.z.a.159.6 | 56 | 112.61 | odd | 12 | |||
896.2.z.a.479.6 | 56 | 8.3 | odd | 2 | |||
896.2.z.a.607.6 | 56 | 56.19 | even | 6 | |||
896.2.z.b.31.9 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.159.9 | 56 | 112.19 | even | 12 | |||
896.2.z.b.479.9 | 56 | 8.5 | even | 2 | |||
896.2.z.b.607.9 | 56 | 56.5 | odd | 6 |