Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,2,Mod(52,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.838429221223\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.3 | ||
Character | \(\chi\) | \(=\) | 105.52 |
Dual form | 105.2.u.a.103.3 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.401003 | + | 1.49657i | −0.283552 | + | 1.05823i | 0.666338 | + | 0.745649i | \(0.267861\pi\) |
−0.949891 | + | 0.312582i | \(0.898806\pi\) | |||||||
\(3\) | 0.965926 | − | 0.258819i | 0.557678 | − | 0.149429i | ||||
\(4\) | −0.346853 | − | 0.200256i | −0.173427 | − | 0.100128i | ||||
\(5\) | 2.14688 | − | 0.625221i | 0.960115 | − | 0.279607i | ||||
\(6\) | 1.54936i | 0.632523i | ||||||||
\(7\) | −1.01885 | − | 2.44171i | −0.385088 | − | 0.922880i | ||||
\(8\) | −1.75234 | + | 1.75234i | −0.619545 | + | 0.619545i | ||||
\(9\) | 0.866025 | − | 0.500000i | 0.288675 | − | 0.166667i | ||||
\(10\) | 0.0747765 | + | 3.46366i | 0.0236464 | + | 1.09531i | ||||
\(11\) | −2.59461 | + | 4.49400i | −0.782306 | + | 1.35499i | 0.148290 | + | 0.988944i | \(0.452623\pi\) |
−0.930595 | + | 0.366049i | \(0.880710\pi\) | |||||||
\(12\) | −0.386864 | − | 0.103660i | −0.111678 | − | 0.0299241i | ||||
\(13\) | −3.30901 | − | 3.30901i | −0.917755 | − | 0.917755i | 0.0791106 | − | 0.996866i | \(-0.474792\pi\) |
−0.996866 | + | 0.0791106i | \(0.974792\pi\) | |||||||
\(14\) | 4.06274 | − | 0.545636i | 1.08581 | − | 0.145827i | ||||
\(15\) | 1.91191 | − | 1.15957i | 0.493653 | − | 0.299400i | ||||
\(16\) | −2.32031 | − | 4.01889i | −0.580077 | − | 1.00472i | ||||
\(17\) | 0.00519896 | + | 0.0194028i | 0.00126093 | + | 0.00470587i | 0.966553 | − | 0.256465i | \(-0.0825580\pi\) |
−0.965292 | + | 0.261171i | \(0.915891\pi\) | |||||||
\(18\) | 0.401003 | + | 1.49657i | 0.0945174 | + | 0.352744i | ||||
\(19\) | 1.24048 | + | 2.14858i | 0.284586 | + | 0.492918i | 0.972509 | − | 0.232866i | \(-0.0748104\pi\) |
−0.687922 | + | 0.725784i | \(0.741477\pi\) | |||||||
\(20\) | −0.869856 | − | 0.213066i | −0.194506 | − | 0.0476429i | ||||
\(21\) | −1.61609 | − | 2.09481i | −0.352660 | − | 0.457126i | ||||
\(22\) | −5.68512 | − | 5.68512i | −1.21207 | − | 1.21207i | ||||
\(23\) | −2.24599 | − | 0.601811i | −0.468321 | − | 0.125486i | 0.0169383 | − | 0.999857i | \(-0.494608\pi\) |
−0.485259 | + | 0.874370i | \(0.661275\pi\) | |||||||
\(24\) | −1.23909 | + | 2.14617i | −0.252928 | + | 0.438085i | ||||
\(25\) | 4.21820 | − | 2.68455i | 0.843640 | − | 0.536910i | ||||
\(26\) | 6.27908 | − | 3.62523i | 1.23143 | − | 0.710966i | ||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | −0.135576 | + | 1.05094i | −0.0256215 | + | 0.198610i | ||||
\(29\) | − | 10.2081i | − | 1.89559i | −0.318874 | − | 0.947797i | \(-0.603305\pi\) | ||
0.318874 | − | 0.947797i | \(-0.396695\pi\) | |||||||
\(30\) | 0.968691 | + | 3.32629i | 0.176858 | + | 0.607294i | ||||
\(31\) | 5.69268 | + | 3.28667i | 1.02244 | + | 0.590303i | 0.914808 | − | 0.403888i | \(-0.132342\pi\) |
0.107627 | + | 0.994191i | \(0.465675\pi\) | |||||||
\(32\) | 2.15750 | − | 0.578101i | 0.381396 | − | 0.102195i | ||||
\(33\) | −1.34307 | + | 5.01241i | −0.233799 | + | 0.872549i | ||||
\(34\) | −0.0311223 | −0.00533744 | ||||||||
\(35\) | −3.71395 | − | 4.60506i | −0.627772 | − | 0.778397i | ||||
\(36\) | −0.400511 | −0.0667519 | ||||||||
\(37\) | −0.714279 | + | 2.66573i | −0.117427 | + | 0.438243i | −0.999457 | − | 0.0329501i | \(-0.989510\pi\) |
0.882030 | + | 0.471193i | \(0.156176\pi\) | |||||||
\(38\) | −3.71293 | + | 0.994876i | −0.602316 | + | 0.161390i | ||||
\(39\) | −4.05270 | − | 2.33983i | −0.648951 | − | 0.374672i | ||||
\(40\) | −2.66646 | + | 4.85766i | −0.421605 | + | 0.768064i | ||||
\(41\) | 3.68910i | 0.576141i | 0.957609 | + | 0.288070i | \(0.0930137\pi\) | ||||
−0.957609 | + | 0.288070i | \(0.906986\pi\) | |||||||
\(42\) | 3.78308 | − | 1.57856i | 0.583743 | − | 0.243577i | ||||
\(43\) | −2.79725 | + | 2.79725i | −0.426576 | + | 0.426576i | −0.887460 | − | 0.460884i | \(-0.847532\pi\) |
0.460884 | + | 0.887460i | \(0.347532\pi\) | |||||||
\(44\) | 1.79990 | − | 1.03917i | 0.271345 | − | 0.156661i | ||||
\(45\) | 1.54664 | − | 1.61490i | 0.230560 | − | 0.240735i | ||||
\(46\) | 1.80130 | − | 3.11994i | 0.265587 | − | 0.460010i | ||||
\(47\) | 1.13152 | + | 0.303190i | 0.165049 | + | 0.0442248i | 0.340397 | − | 0.940282i | \(-0.389438\pi\) |
−0.175348 | + | 0.984506i | \(0.556105\pi\) | |||||||
\(48\) | −3.28141 | − | 3.28141i | −0.473631 | − | 0.473631i | ||||
\(49\) | −4.92390 | + | 4.97546i | −0.703415 | + | 0.710780i | ||||
\(50\) | 2.32609 | + | 7.38932i | 0.328959 | + | 1.04501i | ||||
\(51\) | 0.0100436 | + | 0.0173961i | 0.00140639 | + | 0.00243594i | ||||
\(52\) | 0.485093 | + | 1.81039i | 0.0672702 | + | 0.251056i | ||||
\(53\) | 1.23509 | + | 4.60942i | 0.169653 | + | 0.633152i | 0.997401 | + | 0.0720526i | \(0.0229549\pi\) |
−0.827748 | + | 0.561100i | \(0.810378\pi\) | |||||||
\(54\) | 0.774679 | + | 1.34178i | 0.105420 | + | 0.182594i | ||||
\(55\) | −2.76059 | + | 11.2703i | −0.372237 | + | 1.51969i | ||||
\(56\) | 6.06407 | + | 2.49334i | 0.810345 | + | 0.333187i | ||||
\(57\) | 1.75431 | + | 1.75431i | 0.232364 | + | 0.232364i | ||||
\(58\) | 15.2771 | + | 4.09348i | 2.00598 | + | 0.537500i | ||||
\(59\) | −0.222589 | + | 0.385535i | −0.0289786 | + | 0.0501924i | −0.880151 | − | 0.474694i | \(-0.842559\pi\) |
0.851172 | + | 0.524886i | \(0.175892\pi\) | |||||||
\(60\) | −0.895362 | + | 0.0193298i | −0.115591 | + | 0.00249547i | ||||
\(61\) | 1.18643 | − | 0.684984i | 0.151906 | − | 0.0877032i | −0.422120 | − | 0.906540i | \(-0.638714\pi\) |
0.574027 | + | 0.818837i | \(0.305381\pi\) | |||||||
\(62\) | −7.20150 | + | 7.20150i | −0.914591 | + | 0.914591i | ||||
\(63\) | −2.10320 | − | 1.60516i | −0.264979 | − | 0.202231i | ||||
\(64\) | − | 5.82056i | − | 0.727570i | ||||||
\(65\) | −9.17292 | − | 5.03520i | −1.13776 | − | 0.624539i | ||||
\(66\) | −6.96282 | − | 4.01999i | −0.857064 | − | 0.494826i | ||||
\(67\) | 5.70802 | − | 1.52946i | 0.697346 | − | 0.186853i | 0.107304 | − | 0.994226i | \(-0.465778\pi\) |
0.590041 | + | 0.807373i | \(0.299111\pi\) | |||||||
\(68\) | 0.00208224 | − | 0.00777104i | 0.000252509 | − | 0.000942377i | ||||
\(69\) | −2.32522 | −0.279923 | ||||||||
\(70\) | 8.38108 | − | 3.71152i | 1.00173 | − | 0.443612i | ||||
\(71\) | −2.14741 | −0.254850 | −0.127425 | − | 0.991848i | \(-0.540671\pi\) | ||||
−0.127425 | + | 0.991848i | \(0.540671\pi\) | |||||||
\(72\) | −0.641400 | + | 2.39374i | −0.0755898 | + | 0.282105i | ||||
\(73\) | 7.15629 | − | 1.91752i | 0.837580 | − | 0.224429i | 0.185562 | − | 0.982632i | \(-0.440589\pi\) |
0.652018 | + | 0.758204i | \(0.273923\pi\) | |||||||
\(74\) | −3.70301 | − | 2.13793i | −0.430466 | − | 0.248529i | ||||
\(75\) | 3.37965 | − | 3.68482i | 0.390249 | − | 0.425487i | ||||
\(76\) | − | 0.993655i | − | 0.113980i | ||||||
\(77\) | 13.6166 | + | 1.75660i | 1.55175 | + | 0.200183i | ||||
\(78\) | 5.12685 | − | 5.12685i | 0.580501 | − | 0.580501i | ||||
\(79\) | −3.47085 | + | 2.00389i | −0.390501 | + | 0.225456i | −0.682377 | − | 0.731000i | \(-0.739054\pi\) |
0.291876 | + | 0.956456i | \(0.405720\pi\) | |||||||
\(80\) | −7.49411 | − | 7.17737i | −0.837868 | − | 0.802455i | ||||
\(81\) | 0.500000 | − | 0.866025i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | −5.52098 | − | 1.47934i | −0.609690 | − | 0.163366i | ||||
\(83\) | −3.77525 | − | 3.77525i | −0.414387 | − | 0.414387i | 0.468876 | − | 0.883264i | \(-0.344659\pi\) |
−0.883264 | + | 0.468876i | \(0.844659\pi\) | |||||||
\(84\) | 0.141048 | + | 1.05022i | 0.0153896 | + | 0.114589i | ||||
\(85\) | 0.0232926 | + | 0.0384050i | 0.00252643 | + | 0.00416561i | ||||
\(86\) | −3.06456 | − | 5.30797i | −0.330460 | − | 0.572373i | ||||
\(87\) | −2.64205 | − | 9.86025i | −0.283257 | − | 1.05713i | ||||
\(88\) | −3.32837 | − | 12.4217i | −0.354806 | − | 1.32415i | ||||
\(89\) | 1.91942 | + | 3.32453i | 0.203458 | + | 0.352400i | 0.949640 | − | 0.313342i | \(-0.101449\pi\) |
−0.746182 | + | 0.665742i | \(0.768115\pi\) | |||||||
\(90\) | 1.79659 | + | 2.96223i | 0.189377 | + | 0.312247i | ||||
\(91\) | −4.70828 | + | 11.4510i | −0.493561 | + | 1.20039i | ||||
\(92\) | 0.658512 | + | 0.658512i | 0.0686546 | + | 0.0686546i | ||||
\(93\) | 6.34936 | + | 1.70131i | 0.658398 | + | 0.176417i | ||||
\(94\) | −0.907487 | + | 1.57181i | −0.0936001 | + | 0.162120i | ||||
\(95\) | 4.00651 | + | 3.83717i | 0.411059 | + | 0.393685i | ||||
\(96\) | 1.93436 | − | 1.11681i | 0.197425 | − | 0.113983i | ||||
\(97\) | 10.5936 | − | 10.5936i | 1.07561 | − | 1.07561i | 0.0787167 | − | 0.996897i | \(-0.474918\pi\) |
0.996897 | − | 0.0787167i | \(-0.0250822\pi\) | |||||||
\(98\) | −5.47160 | − | 9.36412i | −0.552715 | − | 0.945919i | ||||
\(99\) | 5.18923i | 0.521537i | ||||||||
\(100\) | −2.00069 | + | 0.0864255i | −0.200069 | + | 0.00864255i | ||||
\(101\) | −5.87655 | − | 3.39283i | −0.584738 | − | 0.337599i | 0.178276 | − | 0.983981i | \(-0.442948\pi\) |
−0.763014 | + | 0.646382i | \(0.776281\pi\) | |||||||
\(102\) | −0.0300619 | + | 0.00805505i | −0.00297657 | + | 0.000797569i | ||||
\(103\) | −2.43637 | + | 9.09265i | −0.240063 | + | 0.895926i | 0.735739 | + | 0.677266i | \(0.236835\pi\) |
−0.975801 | + | 0.218660i | \(0.929831\pi\) | |||||||
\(104\) | 11.5970 | 1.13718 | ||||||||
\(105\) | −4.77928 | − | 3.48690i | −0.466410 | − | 0.340287i | ||||
\(106\) | −7.39357 | −0.718127 | ||||||||
\(107\) | −3.21974 | + | 12.0162i | −0.311264 | + | 1.16165i | 0.616155 | + | 0.787625i | \(0.288690\pi\) |
−0.927418 | + | 0.374026i | \(0.877977\pi\) | |||||||
\(108\) | −0.386864 | + | 0.103660i | −0.0372260 | + | 0.00997468i | ||||
\(109\) | 7.55937 | + | 4.36440i | 0.724056 | + | 0.418034i | 0.816244 | − | 0.577708i | \(-0.196053\pi\) |
−0.0921875 | + | 0.995742i | \(0.529386\pi\) | |||||||
\(110\) | −15.7597 | − | 8.65083i | −1.50263 | − | 0.824824i | ||||
\(111\) | 2.75976i | 0.261945i | ||||||||
\(112\) | −7.44893 | + | 9.76015i | −0.703858 | + | 0.922247i | ||||
\(113\) | −2.80125 | + | 2.80125i | −0.263519 | + | 0.263519i | −0.826482 | − | 0.562963i | \(-0.809661\pi\) |
0.562963 | + | 0.826482i | \(0.309661\pi\) | |||||||
\(114\) | −3.32892 | + | 1.92195i | −0.311782 | + | 0.180007i | ||||
\(115\) | −5.19813 | + | 0.112222i | −0.484729 | + | 0.0104647i | ||||
\(116\) | −2.04423 | + | 3.54071i | −0.189802 | + | 0.328746i | ||||
\(117\) | −4.52020 | − | 1.21118i | −0.417892 | − | 0.111974i | ||||
\(118\) | −0.487719 | − | 0.487719i | −0.0448982 | − | 0.0448982i | ||||
\(119\) | 0.0420790 | − | 0.0324628i | 0.00385738 | − | 0.00297586i | ||||
\(120\) | −1.31835 | + | 5.38227i | −0.120349 | + | 0.491332i | ||||
\(121\) | −7.96405 | − | 13.7941i | −0.724005 | − | 1.25401i | ||||
\(122\) | 0.549362 | + | 2.05025i | 0.0497369 | + | 0.185621i | ||||
\(123\) | 0.954809 | + | 3.56340i | 0.0860922 | + | 0.321301i | ||||
\(124\) | −1.31635 | − | 2.27998i | −0.118212 | − | 0.204748i | ||||
\(125\) | 7.37754 | − | 8.40071i | 0.659867 | − | 0.751382i | ||||
\(126\) | 3.24562 | − | 2.50391i | 0.289143 | − | 0.223066i | ||||
\(127\) | 2.63342 | + | 2.63342i | 0.233679 | + | 0.233679i | 0.814226 | − | 0.580548i | \(-0.197162\pi\) |
−0.580548 | + | 0.814226i | \(0.697162\pi\) | |||||||
\(128\) | 13.0259 | + | 3.49027i | 1.15133 | + | 0.308499i | ||||
\(129\) | −1.97795 | + | 3.42591i | −0.174149 | + | 0.301635i | ||||
\(130\) | 11.2139 | − | 11.7087i | 0.983522 | − | 1.02693i | ||||
\(131\) | 2.60564 | − | 1.50437i | 0.227656 | − | 0.131437i | −0.381834 | − | 0.924231i | \(-0.624707\pi\) |
0.609490 | + | 0.792794i | \(0.291374\pi\) | |||||||
\(132\) | 1.46961 | − | 1.46961i | 0.127913 | − | 0.127913i | ||||
\(133\) | 3.98235 | − | 5.21797i | 0.345313 | − | 0.452456i | ||||
\(134\) | 9.15574i | 0.790936i | ||||||||
\(135\) | 1.07598 | − | 1.96017i | 0.0926053 | − | 0.168705i | ||||
\(136\) | −0.0431106 | − | 0.0248899i | −0.00369670 | − | 0.00213429i | ||||
\(137\) | −10.2003 | + | 2.73317i | −0.871472 | + | 0.233510i | −0.666724 | − | 0.745304i | \(-0.732304\pi\) |
−0.204748 | + | 0.978815i | \(0.565637\pi\) | |||||||
\(138\) | 0.932421 | − | 3.47984i | 0.0793729 | − | 0.296224i | ||||
\(139\) | −1.76721 | −0.149893 | −0.0749465 | − | 0.997188i | \(-0.523879\pi\) | ||||
−0.0749465 | + | 0.997188i | \(0.523879\pi\) | |||||||
\(140\) | 0.366006 | + | 2.34102i | 0.0309331 | + | 0.197852i | ||||
\(141\) | 1.17144 | 0.0986527 | ||||||||
\(142\) | 0.861117 | − | 3.21373i | 0.0722634 | − | 0.269691i | ||||
\(143\) | 23.4563 | − | 6.28511i | 1.96152 | − | 0.525587i | ||||
\(144\) | −4.01889 | − | 2.32031i | −0.334907 | − | 0.193359i | ||||
\(145\) | −6.38231 | − | 21.9155i | −0.530022 | − | 1.81999i | ||||
\(146\) | 11.4788i | 0.949991i | ||||||||
\(147\) | −3.46838 | + | 6.08032i | −0.286067 | + | 0.501497i | ||||
\(148\) | 0.781577 | − | 0.781577i | 0.0642452 | − | 0.0642452i | ||||
\(149\) | 6.38521 | − | 3.68650i | 0.523097 | − | 0.302010i | −0.215104 | − | 0.976591i | \(-0.569009\pi\) |
0.738201 | + | 0.674581i | \(0.235676\pi\) | |||||||
\(150\) | 4.15933 | + | 6.53550i | 0.339608 | + | 0.533621i | ||||
\(151\) | −8.17823 | + | 14.1651i | −0.665535 | + | 1.15274i | 0.313605 | + | 0.949554i | \(0.398463\pi\) |
−0.979140 | + | 0.203187i | \(0.934870\pi\) | |||||||
\(152\) | −5.93879 | − | 1.59129i | −0.481699 | − | 0.129071i | ||||
\(153\) | 0.0142038 | + | 0.0142038i | 0.00114831 | + | 0.00114831i | ||||
\(154\) | −8.08915 | + | 19.6737i | −0.651843 | + | 1.58535i | ||||
\(155\) | 14.2764 | + | 3.49691i | 1.14671 | + | 0.280878i | ||||
\(156\) | 0.937127 | + | 1.62315i | 0.0750302 | + | 0.129956i | ||||
\(157\) | 5.93444 | + | 22.1476i | 0.473620 | + | 1.76757i | 0.626597 | + | 0.779344i | \(0.284447\pi\) |
−0.152977 | + | 0.988230i | \(0.548886\pi\) | |||||||
\(158\) | −1.60714 | − | 5.99791i | −0.127857 | − | 0.477168i | ||||
\(159\) | 2.38601 | + | 4.13269i | 0.189223 | + | 0.327744i | ||||
\(160\) | 4.27046 | − | 2.59003i | 0.337610 | − | 0.204760i | ||||
\(161\) | 0.818870 | + | 6.09721i | 0.0645360 | + | 0.480527i | ||||
\(162\) | 1.09556 | + | 1.09556i | 0.0860755 | + | 0.0860755i | ||||
\(163\) | −14.7445 | − | 3.95078i | −1.15488 | − | 0.309449i | −0.369960 | − | 0.929048i | \(-0.620628\pi\) |
−0.784918 | + | 0.619599i | \(0.787295\pi\) | |||||||
\(164\) | 0.738763 | − | 1.27958i | 0.0576877 | − | 0.0999180i | ||||
\(165\) | 0.250447 | + | 11.6008i | 0.0194973 | + | 0.903118i | ||||
\(166\) | 7.16379 | − | 4.13602i | 0.556018 | − | 0.321017i | ||||
\(167\) | 8.60951 | − | 8.60951i | 0.666224 | − | 0.666224i | −0.290616 | − | 0.956840i | \(-0.593860\pi\) |
0.956840 | + | 0.290616i | \(0.0938603\pi\) | |||||||
\(168\) | 6.50276 | + | 0.838885i | 0.501699 | + | 0.0647214i | ||||
\(169\) | 8.89914i | 0.684550i | ||||||||
\(170\) | −0.0668160 | + | 0.0194583i | −0.00512455 | + | 0.00149239i | ||||
\(171\) | 2.14858 | + | 1.24048i | 0.164306 | + | 0.0948621i | ||||
\(172\) | 1.53040 | − | 0.410069i | 0.116692 | − | 0.0312675i | ||||
\(173\) | 0.935889 | − | 3.49279i | 0.0711543 | − | 0.265552i | −0.921179 | − | 0.389138i | \(-0.872773\pi\) |
0.992334 | + | 0.123586i | \(0.0394396\pi\) | |||||||
\(174\) | 15.8160 | 1.19901 | ||||||||
\(175\) | −10.8526 | − | 7.56448i | −0.820379 | − | 0.571821i | ||||
\(176\) | 24.0812 | 1.81519 | ||||||||
\(177\) | −0.115220 | + | 0.430008i | −0.00866049 | + | 0.0323214i | ||||
\(178\) | −5.74507 | + | 1.53939i | −0.430611 | + | 0.115382i | ||||
\(179\) | −12.0294 | − | 6.94520i | −0.899122 | − | 0.519108i | −0.0222069 | − | 0.999753i | \(-0.507069\pi\) |
−0.876915 | + | 0.480645i | \(0.840403\pi\) | |||||||
\(180\) | −0.859850 | + | 0.250408i | −0.0640895 | + | 0.0186643i | ||||
\(181\) | − | 15.4270i | − | 1.14668i | −0.819318 | − | 0.573339i | \(-0.805648\pi\) | ||
0.819318 | − | 0.573339i | \(-0.194352\pi\) | |||||||
\(182\) | −15.2492 | − | 11.6381i | −1.13034 | − | 0.862677i | ||||
\(183\) | 0.968714 | − | 0.968714i | 0.0716094 | − | 0.0716094i | ||||
\(184\) | 4.99031 | − | 2.88116i | 0.367890 | − | 0.212402i | ||||
\(185\) | 0.133194 | + | 6.16958i | 0.00979263 | + | 0.453597i | ||||
\(186\) | −5.09223 | + | 8.82000i | −0.373380 | + | 0.646714i | ||||
\(187\) | −0.100686 | − | 0.0269786i | −0.00736285 | − | 0.00197287i | ||||
\(188\) | −0.331756 | − | 0.331756i | −0.0241958 | − | 0.0241958i | ||||
\(189\) | −2.44698 | − | 1.00612i | −0.177992 | − | 0.0731842i | ||||
\(190\) | −7.34920 | + | 4.45728i | −0.533167 | + | 0.323365i | ||||
\(191\) | 0.0283971 | + | 0.0491852i | 0.00205474 | + | 0.00355891i | 0.867051 | − | 0.498219i | \(-0.166013\pi\) |
−0.864996 | + | 0.501778i | \(0.832679\pi\) | |||||||
\(192\) | −1.50647 | − | 5.62223i | −0.108720 | − | 0.405750i | ||||
\(193\) | 0.615101 | + | 2.29559i | 0.0442760 | + | 0.165240i | 0.984524 | − | 0.175250i | \(-0.0560735\pi\) |
−0.940248 | + | 0.340491i | \(0.889407\pi\) | |||||||
\(194\) | 11.6059 | + | 20.1020i | 0.833256 | + | 1.44324i | ||||
\(195\) | −10.1636 | − | 2.48950i | −0.727828 | − | 0.178277i | ||||
\(196\) | 2.70423 | − | 0.739713i | 0.193160 | − | 0.0528367i | ||||
\(197\) | 0.251120 | + | 0.251120i | 0.0178916 | + | 0.0178916i | 0.715996 | − | 0.698104i | \(-0.245973\pi\) |
−0.698104 | + | 0.715996i | \(0.745973\pi\) | |||||||
\(198\) | −7.76602 | − | 2.08090i | −0.551907 | − | 0.147883i | ||||
\(199\) | 12.5538 | − | 21.7439i | 0.889917 | − | 1.54138i | 0.0499447 | − | 0.998752i | \(-0.484095\pi\) |
0.839972 | − | 0.542629i | \(-0.182571\pi\) | |||||||
\(200\) | −2.68747 | + | 12.0960i | −0.190033 | + | 0.855313i | ||||
\(201\) | 5.11767 | − | 2.95469i | 0.360973 | − | 0.208408i | ||||
\(202\) | 7.43410 | − | 7.43410i | 0.523062 | − | 0.523062i | ||||
\(203\) | −24.9252 | + | 10.4005i | −1.74941 | + | 0.729970i | ||||
\(204\) | − | 0.00804517i | − | 0.000563274i | ||||||
\(205\) | 2.30650 | + | 7.92006i | 0.161093 | + | 0.553161i | ||||
\(206\) | −12.6308 | − | 7.29237i | −0.880026 | − | 0.508083i | ||||
\(207\) | −2.24599 | + | 0.601811i | −0.156107 | + | 0.0418287i | ||||
\(208\) | −5.62063 | + | 20.9765i | −0.389721 | + | 1.45446i | ||||
\(209\) | −12.8743 | −0.890534 | ||||||||
\(210\) | 7.13489 | − | 5.75424i | 0.492354 | − | 0.397080i | ||||
\(211\) | −15.2060 | −1.04682 | −0.523411 | − | 0.852080i | \(-0.675341\pi\) | ||||
−0.523411 | + | 0.852080i | \(0.675341\pi\) | |||||||
\(212\) | 0.494668 | − | 1.84612i | 0.0339739 | − | 0.126792i | ||||
\(213\) | −2.07423 | + | 0.555790i | −0.142124 | + | 0.0380821i | ||||
\(214\) | −16.6919 | − | 9.63709i | −1.14104 | − | 0.658778i | ||||
\(215\) | −4.25646 | + | 7.75425i | −0.290288 | + | 0.528836i | ||||
\(216\) | 2.47818i | 0.168619i | ||||||||
\(217\) | 2.22513 | − | 17.2485i | 0.151052 | − | 1.17090i | ||||
\(218\) | −9.56295 | + | 9.56295i | −0.647685 | + | 0.647685i | ||||
\(219\) | 6.41615 | − | 3.70437i | 0.433563 | − | 0.250318i | ||||
\(220\) | 3.21446 | − | 3.35631i | 0.216719 | − | 0.226283i | ||||
\(221\) | 0.0470007 | − | 0.0814075i | 0.00316161 | − | 0.00547606i | ||||
\(222\) | −4.13017 | − | 1.10667i | −0.277199 | − | 0.0742751i | ||||
\(223\) | 3.59679 | + | 3.59679i | 0.240859 | + | 0.240859i | 0.817205 | − | 0.576346i | \(-0.195522\pi\) |
−0.576346 | + | 0.817205i | \(0.695522\pi\) | |||||||
\(224\) | −3.60972 | − | 4.67900i | −0.241185 | − | 0.312629i | ||||
\(225\) | 2.31079 | − | 4.43399i | 0.154053 | − | 0.295599i | ||||
\(226\) | −3.06894 | − | 5.31556i | −0.204143 | − | 0.353586i | ||||
\(227\) | −1.95281 | − | 7.28798i | −0.129612 | − | 0.483720i | 0.870350 | − | 0.492434i | \(-0.163893\pi\) |
−0.999962 | + | 0.00871411i | \(0.997226\pi\) | |||||||
\(228\) | −0.257177 | − | 0.959797i | −0.0170320 | − | 0.0635641i | ||||
\(229\) | −12.8628 | − | 22.2790i | −0.849998 | − | 1.47224i | −0.881209 | − | 0.472727i | \(-0.843270\pi\) |
0.0312109 | − | 0.999513i | \(-0.490064\pi\) | |||||||
\(230\) | 1.91652 | − | 7.82435i | 0.126372 | − | 0.515922i | ||||
\(231\) | 13.6072 | − | 1.82749i | 0.895291 | − | 0.120240i | ||||
\(232\) | 17.8880 | + | 17.8880i | 1.17441 | + | 1.17441i | ||||
\(233\) | 25.9077 | + | 6.94194i | 1.69727 | + | 0.454782i | 0.972249 | − | 0.233947i | \(-0.0751643\pi\) |
0.725019 | + | 0.688729i | \(0.241831\pi\) | |||||||
\(234\) | 3.62523 | − | 6.27908i | 0.236989 | − | 0.410476i | ||||
\(235\) | 2.61880 | − | 0.0565369i | 0.170832 | − | 0.00368806i | ||||
\(236\) | 0.154411 | − | 0.0891493i | 0.0100513 | − | 0.00580312i | ||||
\(237\) | −2.83393 | + | 2.83393i | −0.184084 | + | 0.184084i | ||||
\(238\) | 0.0317089 | + | 0.0759917i | 0.00205538 | + | 0.00492581i | ||||
\(239\) | − | 19.0811i | − | 1.23425i | −0.786863 | − | 0.617127i | \(-0.788296\pi\) | ||
0.786863 | − | 0.617127i | \(-0.211704\pi\) | |||||||
\(240\) | −9.09640 | − | 4.99319i | −0.587170 | − | 0.322309i | ||||
\(241\) | 10.6084 | + | 6.12477i | 0.683348 | + | 0.394531i | 0.801115 | − | 0.598510i | \(-0.204240\pi\) |
−0.117767 | + | 0.993041i | \(0.537574\pi\) | |||||||
\(242\) | 23.8374 | − | 6.38722i | 1.53233 | − | 0.410586i | ||||
\(243\) | 0.258819 | − | 0.965926i | 0.0166032 | − | 0.0619642i | ||||
\(244\) | −0.548688 | −0.0351261 | ||||||||
\(245\) | −7.46028 | + | 13.7602i | −0.476620 | + | 0.879110i | ||||
\(246\) | −5.71574 | −0.364422 | ||||||||
\(247\) | 3.00490 | − | 11.2145i | 0.191197 | − | 0.713559i | ||||
\(248\) | −15.7349 | + | 4.21614i | −0.999164 | + | 0.267725i | ||||
\(249\) | −4.62372 | − | 2.66950i | −0.293016 | − | 0.169173i | ||||
\(250\) | 9.61380 | + | 14.4097i | 0.608030 | + | 0.911348i | ||||
\(251\) | − | 24.6455i | − | 1.55561i | −0.628505 | − | 0.777806i | \(-0.716333\pi\) | ||
0.628505 | − | 0.777806i | \(-0.283667\pi\) | |||||||
\(252\) | 0.408060 | + | 0.977933i | 0.0257053 | + | 0.0616040i | ||||
\(253\) | 8.53201 | − | 8.53201i | 0.536403 | − | 0.536403i | ||||
\(254\) | −4.99710 | + | 2.88508i | −0.313546 | + | 0.181026i | ||||
\(255\) | 0.0324388 | + | 0.0310678i | 0.00203140 | + | 0.00194554i | ||||
\(256\) | −4.62626 | + | 8.01293i | −0.289142 | + | 0.500808i | ||||
\(257\) | −8.20551 | − | 2.19866i | −0.511846 | − | 0.137149i | −0.00635343 | − | 0.999980i | \(-0.502022\pi\) |
−0.505492 | + | 0.862831i | \(0.668689\pi\) | |||||||
\(258\) | −4.33394 | − | 4.33394i | −0.269819 | − | 0.269819i | ||||
\(259\) | 7.23667 | − | 0.971903i | 0.449665 | − | 0.0603911i | ||||
\(260\) | 2.17333 | + | 3.58340i | 0.134784 | + | 0.222233i | ||||
\(261\) | −5.10404 | − | 8.84046i | −0.315932 | − | 0.547211i | ||||
\(262\) | 1.20651 | + | 4.50277i | 0.0745387 | + | 0.278182i | ||||
\(263\) | −6.36838 | − | 23.7671i | −0.392691 | − | 1.46554i | −0.825677 | − | 0.564143i | \(-0.809207\pi\) |
0.432986 | − | 0.901401i | \(-0.357460\pi\) | |||||||
\(264\) | −6.42992 | − | 11.1370i | −0.395735 | − | 0.685432i | ||||
\(265\) | 5.53349 | + | 9.12367i | 0.339920 | + | 0.560463i | ||||
\(266\) | 6.21210 | + | 8.05227i | 0.380888 | + | 0.493716i | ||||
\(267\) | 2.71447 | + | 2.71447i | 0.166123 | + | 0.166123i | ||||
\(268\) | −2.28613 | − | 0.612566i | −0.139647 | − | 0.0374184i | ||||
\(269\) | −9.96695 | + | 17.2633i | −0.607696 | + | 1.05256i | 0.383923 | + | 0.923365i | \(0.374573\pi\) |
−0.991619 | + | 0.129195i | \(0.958761\pi\) | |||||||
\(270\) | 2.50205 | + | 2.39631i | 0.152270 | + | 0.145834i | ||||
\(271\) | 24.4726 | − | 14.1293i | 1.48661 | − | 0.858293i | 0.486723 | − | 0.873556i | \(-0.338192\pi\) |
0.999884 | + | 0.0152637i | \(0.00485877\pi\) | |||||||
\(272\) | 0.0659145 | − | 0.0659145i | 0.00399665 | − | 0.00399665i | ||||
\(273\) | −1.58410 | + | 12.2794i | −0.0958741 | + | 0.743185i | ||||
\(274\) | − | 16.3615i | − | 0.988432i | ||||||
\(275\) | 1.11977 | + | 25.9220i | 0.0675249 | + | 1.56315i | ||||
\(276\) | 0.806509 | + | 0.465638i | 0.0485461 | + | 0.0280281i | ||||
\(277\) | −28.8485 | + | 7.72993i | −1.73334 | + | 0.464447i | −0.980948 | − | 0.194270i | \(-0.937766\pi\) |
−0.752391 | + | 0.658717i | \(0.771099\pi\) | |||||||
\(278\) | 0.708658 | − | 2.64475i | 0.0425025 | − | 0.158621i | ||||
\(279\) | 6.57334 | 0.393535 | ||||||||
\(280\) | 14.5777 | + | 1.56152i | 0.871186 | + | 0.0933189i | ||||
\(281\) | −17.9592 | −1.07135 | −0.535677 | − | 0.844423i | \(-0.679944\pi\) | ||||
−0.535677 | + | 0.844423i | \(0.679944\pi\) | |||||||
\(282\) | −0.469750 | + | 1.75313i | −0.0279732 | + | 0.104397i | ||||
\(283\) | −22.0178 | + | 5.89965i | −1.30882 | + | 0.350698i | −0.844779 | − | 0.535116i | \(-0.820268\pi\) |
−0.464042 | + | 0.885813i | \(0.653601\pi\) | |||||||
\(284\) | 0.744834 | + | 0.430030i | 0.0441978 | + | 0.0255176i | ||||
\(285\) | 4.86312 | + | 2.66946i | 0.288066 | + | 0.158125i | ||||
\(286\) | 37.6243i | 2.22477i | ||||||||
\(287\) | 9.00771 | − | 3.75863i | 0.531709 | − | 0.221865i | ||||
\(288\) | 1.57940 | − | 1.57940i | 0.0930671 | − | 0.0930671i | ||||
\(289\) | 14.7221 | − | 8.49980i | 0.866005 | − | 0.499988i | ||||
\(290\) | 35.3574 | − | 0.763325i | 2.07626 | − | 0.0448240i | ||||
\(291\) | 7.49078 | − | 12.9744i | 0.439117 | − | 0.760574i | ||||
\(292\) | −2.86617 | − | 0.767989i | −0.167730 | − | 0.0449432i | ||||
\(293\) | 17.3271 | + | 17.3271i | 1.01226 | + | 1.01226i | 0.999924 | + | 0.0123342i | \(0.00392620\pi\) |
0.0123342 | + | 0.999924i | \(0.496074\pi\) | |||||||
\(294\) | −7.70877 | − | 7.62889i | −0.449584 | − | 0.444926i | ||||
\(295\) | −0.236827 | + | 0.966865i | −0.0137886 | + | 0.0562930i | ||||
\(296\) | −3.41960 | − | 5.92292i | −0.198760 | − | 0.344262i | ||||
\(297\) | 1.34307 | + | 5.01241i | 0.0779329 | + | 0.290850i | ||||
\(298\) | 2.95660 | + | 11.0342i | 0.171271 | + | 0.639193i | ||||
\(299\) | 5.44061 | + | 9.42341i | 0.314638 | + | 0.544970i | ||||
\(300\) | −1.91015 | + | 0.601298i | −0.110283 | + | 0.0347159i | ||||
\(301\) | 9.68003 | + | 3.98010i | 0.557948 | + | 0.229409i | ||||
\(302\) | −17.9195 | − | 17.9195i | −1.03115 | − | 1.03115i | ||||
\(303\) | −6.55444 | − | 1.75626i | −0.376543 | − | 0.100894i | ||||
\(304\) | 5.75660 | − | 9.97073i | 0.330164 | − | 0.571860i | ||||
\(305\) | 2.11885 | − | 2.21236i | 0.121325 | − | 0.126679i | ||||
\(306\) | −0.0269527 | + | 0.0155612i | −0.00154079 | + | 0.000889573i | ||||
\(307\) | −7.07730 | + | 7.07730i | −0.403923 | + | 0.403923i | −0.879613 | − | 0.475690i | \(-0.842198\pi\) |
0.475690 | + | 0.879613i | \(0.342198\pi\) | |||||||
\(308\) | −4.37118 | − | 3.33608i | −0.249071 | − | 0.190091i | ||||
\(309\) | 9.41340i | 0.535510i | ||||||||
\(310\) | −10.9582 | + | 19.9633i | −0.622386 | + | 1.13384i | ||||
\(311\) | 4.32047 | + | 2.49442i | 0.244991 | + | 0.141446i | 0.617469 | − | 0.786596i | \(-0.288158\pi\) |
−0.372477 | + | 0.928041i | \(0.621492\pi\) | |||||||
\(312\) | 11.2019 | − | 3.00153i | 0.634181 | − | 0.169928i | ||||
\(313\) | −1.52692 | + | 5.69853i | −0.0863064 | + | 0.322100i | −0.995558 | − | 0.0941462i | \(-0.969988\pi\) |
0.909252 | + | 0.416246i | \(0.136655\pi\) | |||||||
\(314\) | −35.5251 | −2.00480 | ||||||||
\(315\) | −5.51891 | − | 2.13112i | −0.310955 | − | 0.120075i | ||||
\(316\) | 1.60516 | 0.0902975 | ||||||||
\(317\) | −0.228295 | + | 0.852009i | −0.0128223 | + | 0.0478536i | −0.972041 | − | 0.234813i | \(-0.924552\pi\) |
0.959218 | + | 0.282666i | \(0.0912189\pi\) | |||||||
\(318\) | −7.14164 | + | 1.91360i | −0.400483 | + | 0.107309i | ||||
\(319\) | 45.8752 | + | 26.4860i | 2.56852 | + | 1.48293i | ||||
\(320\) | −3.63914 | − | 12.4961i | −0.203434 | − | 0.698551i | ||||
\(321\) | 12.4401i | 0.694339i | ||||||||
\(322\) | −9.45324 | − | 1.21951i | −0.526808 | − | 0.0679605i | ||||
\(323\) | −0.0352392 | + | 0.0352392i | −0.00196076 | + | 0.00196076i | ||||
\(324\) | −0.346853 | + | 0.200256i | −0.0192696 | + | 0.0111253i | ||||
\(325\) | −22.8413 | − | 5.07487i | −1.26701 | − | 0.281503i | ||||
\(326\) | 11.8252 | − | 20.4818i | 0.654937 | − | 1.13438i | ||||
\(327\) | 8.43138 | + | 2.25918i | 0.466257 | + | 0.124933i | ||||
\(328\) | −6.46455 | − | 6.46455i | −0.356945 | − | 0.356945i | ||||
\(329\) | −0.412544 | − | 3.07175i | −0.0227443 | − | 0.169351i | ||||
\(330\) | −17.4617 | − | 4.27714i | −0.961237 | − | 0.235449i | ||||
\(331\) | 11.9792 | + | 20.7485i | 0.658435 | + | 1.14044i | 0.981021 | + | 0.193903i | \(0.0621147\pi\) |
−0.322585 | + | 0.946540i | \(0.604552\pi\) | |||||||
\(332\) | 0.553441 | + | 2.06547i | 0.0303740 | + | 0.113357i | ||||
\(333\) | 0.714279 | + | 2.66573i | 0.0391423 | + | 0.146081i | ||||
\(334\) | 9.43225 | + | 16.3371i | 0.516110 | + | 0.893928i | ||||
\(335\) | 11.2982 | − | 6.85234i | 0.617286 | − | 0.374383i | ||||
\(336\) | −4.66900 | + | 11.3555i | −0.254715 | + | 0.619494i | ||||
\(337\) | −2.18043 | − | 2.18043i | −0.118776 | − | 0.118776i | 0.645221 | − | 0.763996i | \(-0.276765\pi\) |
−0.763996 | + | 0.645221i | \(0.776765\pi\) | |||||||
\(338\) | −13.3182 | − | 3.56859i | −0.724412 | − | 0.194106i | ||||
\(339\) | −1.98078 | + | 3.43081i | −0.107581 | + | 0.186336i | ||||
\(340\) | −0.000388283 | − | 0.0179854i | −2.10576e−5 | − | 0.000975393i | ||||
\(341\) | −29.5406 | + | 17.0553i | −1.59971 | + | 0.923595i | ||||
\(342\) | −2.71805 | + | 2.71805i | −0.146975 | + | 0.146975i | ||||
\(343\) | 17.1653 | + | 6.95352i | 0.926841 | + | 0.375455i | ||||
\(344\) | − | 9.80345i | − | 0.528567i | ||||||
\(345\) | −4.99197 | + | 1.45377i | −0.268759 | + | 0.0782686i | ||||
\(346\) | 4.85189 | + | 2.80124i | 0.260839 | + | 0.150596i | ||||
\(347\) | 15.0646 | − | 4.03656i | 0.808712 | − | 0.216694i | 0.169307 | − | 0.985563i | \(-0.445847\pi\) |
0.639406 | + | 0.768870i | \(0.279180\pi\) | |||||||
\(348\) | −1.05817 | + | 3.94914i | −0.0567239 | + | 0.211696i | ||||
\(349\) | −34.9635 | −1.87155 | −0.935776 | − | 0.352596i | \(-0.885299\pi\) | ||||
−0.935776 | + | 0.352596i | \(0.885299\pi\) | |||||||
\(350\) | 15.6727 | − | 13.2082i | 0.837739 | − | 0.706009i | ||||
\(351\) | −4.67965 | −0.249781 | ||||||||
\(352\) | −2.99990 | + | 11.1958i | −0.159895 | + | 0.596737i | ||||
\(353\) | −3.54329 | + | 0.949422i | −0.188590 | + | 0.0505327i | −0.351878 | − | 0.936046i | \(-0.614457\pi\) |
0.163288 | + | 0.986579i | \(0.447790\pi\) | |||||||
\(354\) | −0.597332 | − | 0.344870i | −0.0317478 | − | 0.0183296i | ||||
\(355\) | −4.61023 | + | 1.34260i | −0.244685 | + | 0.0712579i | ||||
\(356\) | − | 1.53750i | − | 0.0814873i | ||||||
\(357\) | 0.0322432 | − | 0.0422475i | 0.00170649 | − | 0.00223598i | ||||
\(358\) | 15.2178 | − | 15.2178i | 0.804285 | − | 0.804285i | ||||
\(359\) | 13.9528 | − | 8.05567i | 0.736402 | − | 0.425162i | −0.0843575 | − | 0.996436i | \(-0.526884\pi\) |
0.820760 | + | 0.571274i | \(0.193550\pi\) | |||||||
\(360\) | 0.119604 | + | 5.54009i | 0.00630369 | + | 0.291988i | ||||
\(361\) | 6.42240 | − | 11.1239i | 0.338021 | − | 0.585470i | ||||
\(362\) | 23.0875 | + | 6.18627i | 1.21345 | + | 0.325143i | ||||
\(363\) | −11.2629 | − | 11.2629i | −0.591147 | − | 0.591147i | ||||
\(364\) | 3.92621 | − | 3.02897i | 0.205790 | − | 0.158761i | ||||
\(365\) | 14.1648 | − | 8.59095i | 0.741421 | − | 0.449671i | ||||
\(366\) | 1.06129 | + | 1.83820i | 0.0554743 | + | 0.0960843i | ||||
\(367\) | −7.64516 | − | 28.5321i | −0.399074 | − | 1.48936i | −0.814729 | − | 0.579842i | \(-0.803114\pi\) |
0.415655 | − | 0.909522i | \(-0.363552\pi\) | |||||||
\(368\) | 2.79277 | + | 10.4228i | 0.145583 | + | 0.543324i | ||||
\(369\) | 1.84455 | + | 3.19485i | 0.0960234 | + | 0.166317i | ||||
\(370\) | −9.28659 | − | 2.27469i | −0.482787 | − | 0.118255i | ||||
\(371\) | 9.99650 | − | 7.71202i | 0.518992 | − | 0.400388i | ||||
\(372\) | −1.86160 | − | 1.86160i | −0.0965193 | − | 0.0965193i | ||||
\(373\) | −7.32603 | − | 1.96300i | −0.379327 | − | 0.101640i | 0.0641169 | − | 0.997942i | \(-0.479577\pi\) |
−0.443444 | + | 0.896302i | \(0.646244\pi\) | |||||||
\(374\) | 0.0807505 | − | 0.139864i | 0.00417551 | − | 0.00723219i | ||||
\(375\) | 4.95189 | − | 10.0239i | 0.255714 | − | 0.517633i | ||||
\(376\) | −2.51410 | + | 1.45152i | −0.129655 | + | 0.0748562i | ||||
\(377\) | −33.7787 | + | 33.7787i | −1.73969 | + | 1.73969i | ||||
\(378\) | 2.48697 | − | 3.25861i | 0.127916 | − | 0.167605i | ||||
\(379\) | 17.5078i | 0.899317i | 0.893201 | + | 0.449658i | \(0.148454\pi\) | ||||
−0.893201 | + | 0.449658i | \(0.851546\pi\) | |||||||
\(380\) | −0.621254 | − | 2.13326i | −0.0318696 | − | 0.109434i | ||||
\(381\) | 3.22527 | + | 1.86211i | 0.165236 | + | 0.0953989i | ||||
\(382\) | −0.0849961 | + | 0.0227746i | −0.00434878 | + | 0.00116525i | ||||
\(383\) | 3.07651 | − | 11.4817i | 0.157202 | − | 0.586687i | −0.841704 | − | 0.539939i | \(-0.818447\pi\) |
0.998907 | − | 0.0467483i | \(-0.0148859\pi\) | |||||||
\(384\) | 13.4854 | 0.688172 | ||||||||
\(385\) | 30.3314 | − | 4.74216i | 1.54583 | − | 0.241683i | ||||
\(386\) | −3.68216 | −0.187417 | ||||||||
\(387\) | −1.02386 | + | 3.82111i | −0.0520459 | + | 0.194238i | ||||
\(388\) | −5.79583 | + | 1.55299i | −0.294239 | + | 0.0788410i | ||||
\(389\) | 7.50204 | + | 4.33130i | 0.380368 | + | 0.219606i | 0.677979 | − | 0.735082i | \(-0.262856\pi\) |
−0.297610 | + | 0.954687i | \(0.596190\pi\) | |||||||
\(390\) | 7.80132 | − | 14.2121i | 0.395035 | − | 0.719660i | ||||
\(391\) | − | 0.0467072i | − | 0.00236209i | ||||||
\(392\) | −0.0903426 | − | 17.3470i | −0.00456299 | − | 0.876157i | ||||
\(393\) | 2.12750 | − | 2.12750i | 0.107318 | − | 0.107318i | ||||
\(394\) | −0.476518 | + | 0.275118i | −0.0240066 | + | 0.0138602i | ||||
\(395\) | −6.19862 | + | 6.47216i | −0.311886 | + | 0.325650i | ||||
\(396\) | 1.03917 | − | 1.79990i | 0.0522204 | − | 0.0904484i | ||||
\(397\) | −2.53017 | − | 0.677958i | −0.126986 | − | 0.0340257i | 0.194766 | − | 0.980850i | \(-0.437605\pi\) |
−0.321752 | + | 0.946824i | \(0.604272\pi\) | |||||||
\(398\) | 27.5070 | + | 27.5070i | 1.37880 | + | 1.37880i | ||||
\(399\) | 2.49614 | − | 6.07088i | 0.124963 | − | 0.303924i | ||||
\(400\) | −20.5764 | − | 10.7235i | −1.02882 | − | 0.536175i | ||||
\(401\) | −4.98018 | − | 8.62592i | −0.248698 | − | 0.430758i | 0.714467 | − | 0.699669i | \(-0.246669\pi\) |
−0.963165 | + | 0.268912i | \(0.913336\pi\) | |||||||
\(402\) | 2.36968 | + | 8.84377i | 0.118189 | + | 0.441087i | ||||
\(403\) | −7.96152 | − | 29.7128i | −0.396591 | − | 1.48010i | ||||
\(404\) | 1.35887 | + | 2.35362i | 0.0676061 | + | 0.117097i | ||||
\(405\) | 0.531984 | − | 2.17186i | 0.0264345 | − | 0.107921i | ||||
\(406\) | −5.56990 | − | 41.4728i | −0.276430 | − | 2.05826i | ||||
\(407\) | −10.1265 | − | 10.1265i | −0.501952 | − | 0.501952i | ||||
\(408\) | −0.0480836 | − | 0.0128840i | −0.00238049 | − | 0.000637851i | ||||
\(409\) | −4.03282 | + | 6.98504i | −0.199410 | + | 0.345388i | −0.948337 | − | 0.317264i | \(-0.897236\pi\) |
0.748927 | + | 0.662652i | \(0.230569\pi\) | |||||||
\(410\) | −12.7778 | + | 0.275858i | −0.631051 | + | 0.0136237i | ||||
\(411\) | −9.14536 | + | 5.28008i | −0.451107 | + | 0.260447i | ||||
\(412\) | 2.66592 | − | 2.66592i | 0.131340 | − | 0.131340i | ||||
\(413\) | 1.16815 | + | 0.150696i | 0.0574808 | + | 0.00741527i | ||||
\(414\) | − | 3.60260i | − | 0.177058i | ||||||
\(415\) | −10.4654 | − | 5.74465i | −0.513725 | − | 0.281994i | ||||
\(416\) | −9.05215 | − | 5.22626i | −0.443818 | − | 0.256239i | ||||
\(417\) | −1.70700 | + | 0.457388i | −0.0835919 | + | 0.0223984i | ||||
\(418\) | 5.16264 | − | 19.2672i | 0.252513 | − | 0.942391i | ||||
\(419\) | −1.30845 | −0.0639222 | −0.0319611 | − | 0.999489i | \(-0.510175\pi\) | ||||
−0.0319611 | + | 0.999489i | \(0.510175\pi\) | |||||||
\(420\) | 0.959435 | + | 2.16652i | 0.0468156 | + | 0.105715i | ||||
\(421\) | 2.88085 | 0.140404 | 0.0702020 | − | 0.997533i | \(-0.477636\pi\) | ||||
0.0702020 | + | 0.997533i | \(0.477636\pi\) | |||||||
\(422\) | 6.09764 | − | 22.7567i | 0.296829 | − | 1.10778i | ||||
\(423\) | 1.13152 | − | 0.303190i | 0.0550164 | − | 0.0147416i | ||||
\(424\) | −10.2416 | − | 5.91297i | −0.497374 | − | 0.287159i | ||||
\(425\) | 0.0740180 | + | 0.0678879i | 0.00359040 | + | 0.00329305i | ||||
\(426\) | − | 3.32710i | − | 0.161199i | ||||||
\(427\) | −2.88132 | − | 2.19902i | −0.139437 | − | 0.106418i | ||||
\(428\) | 3.52309 | − | 3.52309i | 0.170295 | − | 0.170295i | ||||
\(429\) | 21.0304 | − | 12.1419i | 1.01536 | − | 0.586216i | ||||
\(430\) | −9.89789 | − | 9.47955i | −0.477319 | − | 0.457145i | ||||
\(431\) | −10.4163 | + | 18.0415i | −0.501734 | + | 0.869028i | 0.498264 | + | 0.867025i | \(0.333971\pi\) |
−0.999998 | + | 0.00200303i | \(0.999362\pi\) | |||||||
\(432\) | −4.48249 | − | 1.20108i | −0.215664 | − | 0.0577869i | ||||
\(433\) | 5.72121 | + | 5.72121i | 0.274944 | + | 0.274944i | 0.831087 | − | 0.556143i | \(-0.187719\pi\) |
−0.556143 | + | 0.831087i | \(0.687719\pi\) | |||||||
\(434\) | 24.9212 | + | 10.2468i | 1.19626 | + | 0.491860i | ||||
\(435\) | −11.8370 | − | 19.5169i | −0.567540 | − | 0.935765i | ||||
\(436\) | −1.74799 | − | 3.02761i | −0.0837137 | − | 0.144996i | ||||
\(437\) | −1.49307 | − | 5.57222i | −0.0714233 | − | 0.266555i | ||||
\(438\) | 2.97093 | + | 11.0877i | 0.141956 | + | 0.529789i | ||||
\(439\) | 4.31964 | + | 7.48184i | 0.206165 | + | 0.357089i | 0.950503 | − | 0.310714i | \(-0.100568\pi\) |
−0.744338 | + | 0.667803i | \(0.767235\pi\) | |||||||
\(440\) | −14.9119 | − | 24.5869i | −0.710897 | − | 1.17213i | ||||
\(441\) | −1.77650 | + | 6.77082i | −0.0845950 | + | 0.322420i | ||||
\(442\) | 0.102984 | + | 0.102984i | 0.00489846 | + | 0.00489846i | ||||
\(443\) | −30.0644 | − | 8.05575i | −1.42841 | − | 0.382740i | −0.539948 | − | 0.841699i | \(-0.681556\pi\) |
−0.888458 | + | 0.458959i | \(0.848223\pi\) | |||||||
\(444\) | 0.552658 | − | 0.957232i | 0.0262280 | − | 0.0454282i | ||||
\(445\) | 6.19933 | + | 5.93731i | 0.293876 | + | 0.281456i | ||||
\(446\) | −6.82516 | + | 3.94051i | −0.323181 | + | 0.186589i | ||||
\(447\) | 5.21350 | − | 5.21350i | 0.246590 | − | 0.246590i | ||||
\(448\) | −14.2121 | + | 5.93026i | −0.671460 | + | 0.280179i | ||||
\(449\) | 40.3196i | 1.90280i | 0.307962 | + | 0.951399i | \(0.400353\pi\) | ||||
−0.307962 | + | 0.951399i | \(0.599647\pi\) | |||||||
\(450\) | 5.70911 | + | 5.23630i | 0.269130 | + | 0.246841i | ||||
\(451\) | −16.5788 | − | 9.57179i | −0.780667 | − | 0.450718i | ||||
\(452\) | 1.53259 | − | 0.410655i | 0.0720868 | − | 0.0193156i | ||||
\(453\) | −4.23336 | + | 15.7991i | −0.198901 | + | 0.742308i | ||||
\(454\) | 11.6900 | 0.548640 | ||||||||
\(455\) | −2.94869 | + | 27.5277i | −0.138237 | + | 1.29052i | ||||
\(456\) | −6.14828 | −0.287920 | ||||||||
\(457\) | −3.46505 | + | 12.9317i | −0.162088 | + | 0.604921i | 0.836305 | + | 0.548264i | \(0.184711\pi\) |
−0.998394 | + | 0.0566576i | \(0.981956\pi\) | |||||||
\(458\) | 38.5001 | − | 10.3161i | 1.79899 | − | 0.482038i | ||||
\(459\) | 0.0173961 | + | 0.0100436i | 0.000811979 | + | 0.000468796i | ||||
\(460\) | 1.82546 | + | 1.00203i | 0.0851126 | + | 0.0467200i | ||||
\(461\) | − | 2.07258i | − | 0.0965298i | −0.998835 | − | 0.0482649i | \(-0.984631\pi\) | ||
0.998835 | − | 0.0482649i | \(-0.0153692\pi\) | |||||||
\(462\) | −2.72160 | + | 21.0970i | −0.126620 | + | 0.981519i | ||||
\(463\) | 12.9744 | − | 12.9744i | 0.602971 | − | 0.602971i | −0.338129 | − | 0.941100i | \(-0.609794\pi\) |
0.941100 | + | 0.338129i | \(0.109794\pi\) | |||||||
\(464\) | −41.0252 | + | 23.6859i | −1.90455 | + | 1.09959i | ||||
\(465\) | 14.6950 | − | 0.317248i | 0.681465 | − | 0.0147120i | ||||
\(466\) | −20.7781 | + | 35.9888i | −0.962529 | + | 1.66715i | ||||
\(467\) | 24.8726 | + | 6.66459i | 1.15097 | + | 0.308400i | 0.783352 | − | 0.621578i | \(-0.213508\pi\) |
0.367614 | + | 0.929979i | \(0.380175\pi\) | |||||||
\(468\) | 1.32530 | + | 1.32530i | 0.0612619 | + | 0.0612619i | ||||
\(469\) | −9.55010 | − | 12.3791i | −0.440982 | − | 0.571611i | ||||
\(470\) | −0.965537 | + | 3.94188i | −0.0445369 | + | 0.181825i | ||||
\(471\) | 11.4645 | + | 19.8570i | 0.528254 | + | 0.914963i | ||||
\(472\) | −0.285537 | − | 1.06564i | −0.0131429 | − | 0.0490500i | ||||
\(473\) | −5.31306 | − | 19.8286i | −0.244295 | − | 0.911721i | ||||
\(474\) | −3.10475 | − | 5.37758i | −0.142606 | − | 0.247001i | ||||
\(475\) | 11.0006 | + | 5.73300i | 0.504741 | + | 0.263048i | ||||
\(476\) | −0.0210961 | + | 0.00283326i | −0.000966939 | + | 0.000129862i | ||||
\(477\) | 3.37433 | + | 3.37433i | 0.154500 | + | 0.154500i | ||||
\(478\) | 28.5561 | + | 7.65159i | 1.30613 | + | 0.349976i | ||||
\(479\) | −12.5000 | + | 21.6506i | −0.571138 | + | 0.989240i | 0.425311 | + | 0.905047i | \(0.360165\pi\) |
−0.996449 | + | 0.0841932i | \(0.973169\pi\) | |||||||
\(480\) | 3.45460 | − | 3.60705i | 0.157680 | − | 0.164639i | ||||
\(481\) | 11.1845 | − | 6.45737i | 0.509969 | − | 0.294431i | ||||
\(482\) | −13.4201 | + | 13.4201i | −0.611271 | + | 0.611271i | ||||
\(483\) | 2.36904 | + | 5.67751i | 0.107795 | + | 0.258336i | ||||
\(484\) | 6.37938i | 0.289972i | ||||||||
\(485\) | 16.1198 | − | 29.3664i | 0.731963 | − | 1.33346i | ||||
\(486\) | 1.34178 | + | 0.774679i | 0.0608645 | + | 0.0351402i | ||||
\(487\) | −26.3494 | + | 7.06031i | −1.19401 | + | 0.319933i | −0.800468 | − | 0.599375i | \(-0.795416\pi\) |
−0.393538 | + | 0.919308i | \(0.628749\pi\) | |||||||
\(488\) | −0.878698 | + | 3.27935i | −0.0397768 | + | 0.148449i | ||||
\(489\) | −15.2646 | −0.690290 | ||||||||
\(490\) | −17.6015 | − | 16.6827i | −0.795155 | − | 0.753647i | ||||
\(491\) | −23.4800 | −1.05964 | −0.529820 | − | 0.848110i | \(-0.677740\pi\) | ||||
−0.529820 | + | 0.848110i | \(0.677740\pi\) | |||||||
\(492\) | 0.382412 | − | 1.42718i | 0.0172405 | − | 0.0643423i | ||||
\(493\) | 0.198065 | − | 0.0530714i | 0.00892041 | − | 0.00239022i | ||||
\(494\) | 15.5782 | + | 8.99407i | 0.700896 | + | 0.404662i | ||||
\(495\) | 3.24441 | + | 11.1407i | 0.145826 | + | 0.500735i | ||||
\(496\) | − | 30.5043i | − | 1.36968i | ||||||
\(497\) | 2.18788 | + | 5.24334i | 0.0981397 | + | 0.235196i | ||||
\(498\) | 5.84921 | − | 5.84921i | 0.262109 | − | 0.262109i | ||||
\(499\) | −24.8192 | + | 14.3294i | −1.11106 | + | 0.641470i | −0.939104 | − | 0.343634i | \(-0.888342\pi\) |
−0.171956 | + | 0.985105i | \(0.555009\pi\) | |||||||
\(500\) | −4.24121 | + | 1.43642i | −0.189673 | + | 0.0642386i | ||||
\(501\) | 6.08784 | − | 10.5444i | 0.271985 | − | 0.471091i | ||||
\(502\) | 36.8836 | + | 9.88294i | 1.64620 | + | 0.441097i | ||||
\(503\) | 7.43731 | + | 7.43731i | 0.331613 | + | 0.331613i | 0.853199 | − | 0.521586i | \(-0.174659\pi\) |
−0.521586 | + | 0.853199i | \(0.674659\pi\) | |||||||
\(504\) | 6.49831 | − | 0.872739i | 0.289458 | − | 0.0388749i | ||||
\(505\) | −14.7375 | − | 3.60986i | −0.655811 | − | 0.160637i | ||||
\(506\) | 9.34735 | + | 16.1901i | 0.415540 | + | 0.719737i | ||||
\(507\) | 2.30327 | + | 8.59591i | 0.102292 | + | 0.381758i | ||||
\(508\) | −0.386053 | − | 1.44077i | −0.0171283 | − | 0.0639238i | ||||
\(509\) | −5.08320 | − | 8.80437i | −0.225309 | − | 0.390247i | 0.731103 | − | 0.682267i | \(-0.239006\pi\) |
−0.956412 | + | 0.292020i | \(0.905673\pi\) | |||||||
\(510\) | −0.0595031 | + | 0.0360885i | −0.00263484 | + | 0.00159803i | ||||
\(511\) | −11.9732 | − | 15.5199i | −0.529663 | − | 0.686561i | ||||
\(512\) | 8.93446 | + | 8.93446i | 0.394851 | + | 0.394851i | ||||
\(513\) | 2.39643 | + | 0.642121i | 0.105805 | + | 0.0283503i | ||||
\(514\) | 6.58087 | − | 11.3984i | 0.290270 | − | 0.502762i | ||||
\(515\) | 0.454318 | + | 21.0441i | 0.0200197 | + | 0.927314i | ||||
\(516\) | 1.37212 | − | 0.792192i | 0.0604041 | − | 0.0348743i | ||||
\(517\) | −4.29840 | + | 4.29840i | −0.189043 | + | 0.189043i | ||||
\(518\) | −1.44741 | + | 11.2199i | −0.0635957 | + | 0.492974i | ||||
\(519\) | − | 3.61600i | − | 0.158725i | ||||||
\(520\) | 24.8974 | − | 7.25070i | 1.09182 | − | 0.317964i | ||||
\(521\) | 23.4269 | + | 13.5255i | 1.02635 | + | 0.592565i | 0.915938 | − | 0.401321i | \(-0.131449\pi\) |
0.110415 | + | 0.993886i | \(0.464782\pi\) | |||||||
\(522\) | 15.2771 | − | 4.09348i | 0.668659 | − | 0.179167i | ||||
\(523\) | 1.49363 | − | 5.57429i | 0.0653117 | − | 0.243747i | −0.925551 | − | 0.378624i | \(-0.876397\pi\) |
0.990862 | + | 0.134877i | \(0.0430641\pi\) | |||||||
\(524\) | −1.20503 | −0.0526421 | ||||||||
\(525\) | −12.4406 | − | 4.49787i | −0.542953 | − | 0.196303i | ||||
\(526\) | 38.1228 | 1.66223 | ||||||||
\(527\) | −0.0341745 | + | 0.127541i | −0.00148867 | + | 0.00555578i | ||||
\(528\) | 23.2607 | − | 6.23267i | 1.01229 | − | 0.271242i | ||||
\(529\) | −15.2363 | − | 8.79668i | −0.662448 | − | 0.382464i | ||||
\(530\) | −15.8731 | + | 4.62261i | −0.689484 | + | 0.200793i | ||||
\(531\) | 0.445177i | 0.0193190i | ||||||||
\(532\) | −2.42622 | + | 1.01238i | −0.105190 | + | 0.0438923i | ||||
\(533\) | 12.2073 | − | 12.2073i | 0.528756 | − | 0.528756i | ||||
\(534\) | −5.15089 | + | 2.97387i | −0.222901 | + | 0.128692i | ||||
\(535\) | 0.600395 | + | 27.8104i | 0.0259574 | + | 1.20235i | ||||
\(536\) | −7.32225 | + | 12.6825i | −0.316273 | + | 0.547801i | ||||
\(537\) | −13.4171 | − | 3.59510i | −0.578990 | − | 0.155140i | ||||
\(538\) | −21.8388 | − | 21.8388i | −0.941539 | − | 0.941539i | ||||
\(539\) | −9.58410 | − | 35.0374i | −0.412816 | − | 1.50917i | ||||
\(540\) | −0.765741 | + | 0.464421i | −0.0329523 | + | 0.0199855i | ||||
\(541\) | 11.0154 | + | 19.0793i | 0.473590 | + | 0.820283i | 0.999543 | − | 0.0302312i | \(-0.00962435\pi\) |
−0.525952 | + | 0.850514i | \(0.676291\pi\) | |||||||
\(542\) | 11.3318 | + | 42.2908i | 0.486742 | + | 1.81654i | ||||
\(543\) | −3.99279 | − | 14.9013i | −0.171347 | − | 0.639476i | ||||
\(544\) | 0.0224335 | + | 0.0388560i | 0.000961830 | + | 0.00166594i | ||||
\(545\) | 18.9578 | + | 4.64358i | 0.812062 | + | 0.198909i | ||||
\(546\) | −17.7418 | − | 7.29481i | −0.759277 | − | 0.312189i | ||||
\(547\) | 19.7018 | + | 19.7018i | 0.842388 | + | 0.842388i | 0.989169 | − | 0.146781i | \(-0.0468913\pi\) |
−0.146781 | + | 0.989169i | \(0.546891\pi\) | |||||||
\(548\) | 4.08535 | + | 1.09466i | 0.174517 | + | 0.0467618i | ||||
\(549\) | 0.684984 | − | 1.18643i | 0.0292344 | − | 0.0506355i | ||||
\(550\) | −39.2430 | − | 8.71899i | −1.67333 | − | 0.371779i | ||||
\(551\) | 21.9329 | − | 12.6630i | 0.934372 | − | 0.539460i | ||||
\(552\) | 4.07457 | − | 4.07457i | 0.173425 | − | 0.173425i | ||||
\(553\) | 8.42919 | + | 6.43314i | 0.358445 | + | 0.273565i | ||||
\(554\) | − | 46.2734i | − | 1.96597i | ||||||
\(555\) | 1.72546 | + | 5.92488i | 0.0732417 | + | 0.251497i | ||||
\(556\) | 0.612963 | + | 0.353894i | 0.0259954 | + | 0.0150085i | ||||
\(557\) | 15.4556 | − | 4.14131i | 0.654874 | − | 0.175473i | 0.0839424 | − | 0.996471i | \(-0.473249\pi\) |
0.570932 | + | 0.820998i | \(0.306582\pi\) | |||||||
\(558\) | −2.63593 | + | 9.83743i | −0.111588 | + | 0.416452i | ||||
\(559\) | 18.5123 | 0.782985 | ||||||||
\(560\) | −9.88972 | + | 25.6111i | −0.417917 | + | 1.08227i | ||||
\(561\) | −0.104237 | −0.00440090 | ||||||||
\(562\) | 7.20169 | − | 26.8771i | 0.303785 | − | 1.13374i | ||||
\(563\) | 15.4802 | − | 4.14791i | 0.652413 | − | 0.174813i | 0.0825932 | − | 0.996583i | \(-0.473680\pi\) |
0.569819 | + | 0.821770i | \(0.307013\pi\) | |||||||
\(564\) | −0.406316 | − | 0.234587i | −0.0171090 | − | 0.00987788i | ||||
\(565\) | −4.26255 | + | 7.76534i | −0.179327 | + | 0.326690i | ||||
\(566\) | − | 35.3168i | − | 1.48448i | ||||||
\(567\) | −2.62401 | − | 0.338508i | −0.110198 | − | 0.0142160i | ||||
\(568\) | 3.76298 | − | 3.76298i | 0.157891 | − | 0.157891i | ||||
\(569\) | 22.2011 | − | 12.8178i | 0.930717 | − | 0.537350i | 0.0436785 | − | 0.999046i | \(-0.486092\pi\) |
0.887038 | + | 0.461696i | \(0.152759\pi\) | |||||||
\(570\) | −5.94515 | + | 6.20751i | −0.249015 | + | 0.260004i | ||||
\(571\) | 8.33247 | − | 14.4323i | 0.348703 | − | 0.603971i | −0.637316 | − | 0.770602i | \(-0.719955\pi\) |
0.986019 | + | 0.166631i | \(0.0532888\pi\) | |||||||
\(572\) | −9.39453 | − | 2.51726i | −0.392805 | − | 0.105252i | ||||
\(573\) | 0.0401595 | + | 0.0401595i | 0.00167769 | + | 0.00167769i | ||||
\(574\) | 2.01291 | + | 14.9879i | 0.0840171 | + | 0.625581i | ||||
\(575\) | −11.0896 | + | 3.49091i | −0.462469 | + | 0.145581i | ||||
\(576\) | −2.91028 | − | 5.04076i | −0.121262 | − | 0.210031i | ||||
\(577\) | 1.13999 | + | 4.25450i | 0.0474584 | + | 0.177117i | 0.985587 | − | 0.169170i | \(-0.0541088\pi\) |
−0.938128 | + | 0.346288i | \(0.887442\pi\) | |||||||
\(578\) | 6.81690 | + | 25.4410i | 0.283546 | + | 1.05821i | ||||
\(579\) | 1.18828 | + | 2.05817i | 0.0493834 | + | 0.0855346i | ||||
\(580\) | −2.17499 | + | 8.87957i | −0.0903116 | + | 0.368704i | ||||
\(581\) | −5.37166 | + | 13.0645i | −0.222854 | + | 0.542005i | ||||
\(582\) | 16.4132 | + | 16.4132i | 0.680350 | + | 0.680350i | ||||
\(583\) | −23.9193 | − | 6.40916i | −0.990637 | − | 0.265440i | ||||
\(584\) | −9.18009 | + | 15.9004i | −0.379875 | + | 0.657963i | ||||
\(585\) | −10.4616 | + | 0.225854i | −0.432533 | + | 0.00933790i | ||||
\(586\) | −32.8793 | + | 18.9829i | −1.35823 | + | 0.784175i | ||||
\(587\) | 25.1535 | − | 25.1535i | 1.03820 | − | 1.03820i | 0.0389571 | − | 0.999241i | \(-0.487596\pi\) |
0.999241 | − | 0.0389571i | \(-0.0124036\pi\) | |||||||
\(588\) | 2.42064 | − | 1.41442i | 0.0998254 | − | 0.0583295i | ||||
\(589\) | 16.3082i | 0.671969i | ||||||||
\(590\) | −1.35201 | − | 0.742143i | −0.0556613 | − | 0.0305536i | ||||
\(591\) | 0.307558 | + | 0.177569i | 0.0126512 | + | 0.00730420i | ||||
\(592\) | 12.3706 | − | 3.31469i | 0.508429 | − | 0.136233i | ||||
\(593\) | 11.0134 | − | 41.1024i | 0.452265 | − | 1.68787i | −0.243742 | − | 0.969840i | \(-0.578375\pi\) |
0.696007 | − | 0.718035i | \(-0.254958\pi\) | |||||||
\(594\) | −8.03998 | −0.329884 | ||||||||
\(595\) | 0.0700423 | − | 0.0960025i | 0.00287145 | − | 0.00393572i | ||||
\(596\) | −2.95297 | −0.120959 | ||||||||
\(597\) | 6.49834 | − | 24.2521i | 0.265959 | − | 0.992573i | ||||
\(598\) | −16.2844 | + | 4.36340i | −0.665920 | + | 0.178433i | ||||
\(599\) | −15.9783 | − | 9.22507i | −0.652855 | − | 0.376926i | 0.136694 | − | 0.990613i | \(-0.456352\pi\) |
−0.789549 | + | 0.613687i | \(0.789686\pi\) | |||||||
\(600\) | 0.534762 | + | 12.3794i | 0.0218316 | + | 0.505385i | ||||
\(601\) | − | 4.13978i | − | 0.168865i | −0.996429 | − | 0.0844326i | \(-0.973092\pi\) | ||
0.996429 | − | 0.0844326i | \(-0.0269078\pi\) | |||||||
\(602\) | −9.83821 | + | 12.8908i | −0.400976 | + | 0.525389i | ||||
\(603\) | 4.17856 | − | 4.17856i | 0.170164 | − | 0.170164i | ||||
\(604\) | 5.67329 | − | 3.27548i | 0.230843 | − | 0.133277i | ||||
\(605\) | −25.7222 | − | 24.6351i | −1.04576 | − | 1.00156i | ||||
\(606\) | 5.25670 | − | 9.10488i | 0.213539 | − | 0.369860i | ||||
\(607\) | −23.8504 | − | 6.39069i | −0.968058 | − | 0.259390i | −0.260050 | − | 0.965595i | \(-0.583739\pi\) |
−0.708008 | + | 0.706205i | \(0.750406\pi\) | |||||||
\(608\) | 3.91844 | + | 3.91844i | 0.158914 | + | 0.158914i | ||||
\(609\) | −21.3840 | + | 16.4972i | −0.866525 | + | 0.668500i | ||||
\(610\) | 2.46127 | + | 4.05816i | 0.0996539 | + | 0.164310i | ||||
\(611\) | −2.74096 | − | 4.74748i | −0.110887 | − | 0.192062i | ||||
\(612\) | −0.00208224 | − | 0.00777104i | −8.41697e−5 | − | 0.000314126i | ||||
\(613\) | 12.5501 | + | 46.8375i | 0.506893 | + | 1.89175i | 0.449238 | + | 0.893412i | \(0.351696\pi\) |
0.0576548 | + | 0.998337i | \(0.481638\pi\) | |||||||
\(614\) | −7.75362 | − | 13.4297i | −0.312910 | − | 0.541977i | ||||
\(615\) | 4.27777 | + | 7.05322i | 0.172496 | + | 0.284413i | ||||
\(616\) | −26.9390 | + | 20.7827i | −1.08540 | + | 0.837359i | ||||
\(617\) | −9.77318 | − | 9.77318i | −0.393453 | − | 0.393453i | 0.482463 | − | 0.875916i | \(-0.339742\pi\) |
−0.875916 | + | 0.482463i | \(0.839742\pi\) | |||||||
\(618\) | −14.0878 | − | 3.77481i | −0.566693 | − | 0.151845i | ||||
\(619\) | 13.8899 | − | 24.0580i | 0.558281 | − | 0.966972i | −0.439359 | − | 0.898312i | \(-0.644794\pi\) |
0.997640 | − | 0.0686600i | \(-0.0218724\pi\) | |||||||
\(620\) | −4.25153 | − | 4.07184i | −0.170746 | − | 0.163529i | ||||
\(621\) | −2.01370 | + | 1.16261i | −0.0808069 | + | 0.0466539i | ||||
\(622\) | −5.46559 | + | 5.46559i | −0.219150 | + | 0.219150i | ||||
\(623\) | 6.16195 | − | 8.07386i | 0.246873 | − | 0.323472i | ||||
\(624\) | 21.7165i | 0.869354i | ||||||||
\(625\) | 10.5864 | − | 22.6479i | 0.423456 | − | 0.905917i | ||||
\(626\) | −7.91592 | − | 4.57026i | −0.316384 | − | 0.182664i | ||||
\(627\) | −12.4356 | + | 3.33211i | −0.496631 | + | 0.133072i | ||||
\(628\) | 2.37681 | − | 8.87038i | 0.0948451 | − | 0.353967i | ||||
\(629\) | −0.0554360 | −0.00221038 | ||||||||
\(630\) | 5.40246 | − | 7.40481i | 0.215239 | − | 0.295015i | ||||
\(631\) | 15.9169 | 0.633641 | 0.316821 | − | 0.948486i | \(-0.397385\pi\) | ||||
0.316821 | + | 0.948486i | \(0.397385\pi\) | |||||||
\(632\) | 2.57060 | − | 9.59360i | 0.102253 | − | 0.381613i | ||||
\(633\) | −14.6878 | + | 3.93559i | −0.583789 | + | 0.156426i | ||||
\(634\) | −1.18354 | − | 0.683317i | −0.0470044 | − | 0.0271380i | ||||
\(635\) | 7.30012 | + | 4.00718i | 0.289696 | + | 0.159020i | ||||
\(636\) | − | 1.91125i | − | 0.0757859i | ||||||
\(637\) | 32.7571 | − | 0.170598i | 1.29788 | − | 0.00675932i | ||||
\(638\) | −58.0342 | + | 58.0342i | −2.29760 | + | 2.29760i | ||||
\(639\) | −1.85971 | + | 1.07370i | −0.0735689 | + | 0.0424750i | ||||
\(640\) | 30.1472 | − | 0.650843i | 1.19167 | − | 0.0257268i | ||||
\(641\) | 14.7911 | − | 25.6190i | 0.584214 | − | 1.01189i | −0.410759 | − | 0.911744i | \(-0.634736\pi\) |
0.994973 | − | 0.100144i | \(-0.0319304\pi\) | |||||||
\(642\) | −18.6174 | − | 4.98852i | −0.734771 | − | 0.196881i | ||||
\(643\) | 23.0451 | + | 23.0451i | 0.908809 | + | 0.908809i | 0.996176 | − | 0.0873668i | \(-0.0278452\pi\) |
−0.0873668 | + | 0.996176i | \(0.527845\pi\) | |||||||
\(644\) | 0.936973 | − | 2.27882i | 0.0369219 | − | 0.0897980i | ||||
\(645\) | −2.10448 | + | 8.59169i | −0.0828637 | + | 0.338297i | ||||
\(646\) | −0.0386067 | − | 0.0668688i | −0.00151896 | − | 0.00263092i | ||||
\(647\) | −7.10809 | − | 26.5278i | −0.279448 | − | 1.04291i | −0.952802 | − | 0.303593i | \(-0.901814\pi\) |
0.673354 | − | 0.739320i | \(-0.264853\pi\) | |||||||
\(648\) | 0.641400 | + | 2.39374i | 0.0251966 | + | 0.0940350i | ||||
\(649\) | −1.15506 | − | 2.00063i | −0.0453402 | − | 0.0785315i | ||||
\(650\) | 16.7543 | − | 32.1484i | 0.657158 | − | 1.26097i | ||||
\(651\) | −2.31493 | − | 17.2367i | −0.0907291 | − | 0.675558i | ||||
\(652\) | 4.32301 | + | 4.32301i | 0.169302 | + | 0.169302i | ||||
\(653\) | −31.4929 | − | 8.43850i | −1.23241 | − | 0.330224i | −0.416894 | − | 0.908955i | \(-0.636881\pi\) |
−0.815518 | + | 0.578731i | \(0.803548\pi\) | |||||||
\(654\) | −6.76203 | + | 11.7122i | −0.264416 | + | 0.457982i | ||||
\(655\) | 4.65344 | − | 4.85880i | 0.181825 | − | 0.189849i | ||||
\(656\) | 14.8261 | − | 8.55984i | 0.578861 | − | 0.334206i | ||||
\(657\) | 5.23877 | − | 5.23877i | 0.204384 | − | 0.204384i | ||||
\(658\) | 4.76250 | + | 0.614384i | 0.185662 | + | 0.0239512i | ||||
\(659\) | 4.16401i | 0.162207i | 0.996706 | + | 0.0811034i | \(0.0258444\pi\) | ||||
−0.996706 | + | 0.0811034i | \(0.974156\pi\) | |||||||
\(660\) | 2.23625 | − | 4.07391i | 0.0870459 | − | 0.158577i | ||||
\(661\) | −10.2035 | − | 5.89099i | −0.396870 | − | 0.229133i | 0.288262 | − | 0.957551i | \(-0.406922\pi\) |
−0.685133 | + | 0.728418i | \(0.740256\pi\) | |||||||
\(662\) | −35.8553 | + | 9.60739i | −1.39355 | + | 0.373402i | ||||
\(663\) | 0.0243293 | − | 0.0907983i | 0.000944873 | − | 0.00352631i | ||||
\(664\) | 13.2310 | 0.513463 | ||||||||
\(665\) | 5.28724 | − | 13.6922i | 0.205031 | − | 0.530961i | ||||
\(666\) | −4.27586 | −0.165686 | ||||||||
\(667\) | −6.14334 | + | 22.9272i | −0.237871 | + | 0.887746i | ||||
\(668\) | −4.71034 | + | 1.26213i | −0.182248 | + | 0.0488333i | ||||
\(669\) | 4.40515 | + | 2.54332i | 0.170313 | + | 0.0983303i | ||||
\(670\) | 5.72436 | + | 19.6563i | 0.221151 | + | 0.759389i | ||||
\(671\) | 7.10908i | 0.274443i | ||||||||
\(672\) | −4.69774 | − | 3.58530i | −0.181219 | − | 0.138306i | ||||
\(673\) | −7.90660 | + | 7.90660i | −0.304777 | + | 0.304777i | −0.842879 | − | 0.538102i | \(-0.819141\pi\) |
0.538102 | + | 0.842879i | \(0.319141\pi\) | |||||||
\(674\) | 4.13752 | − | 2.38880i | 0.159371 | − | 0.0920130i | ||||
\(675\) | 1.08445 | − | 4.88098i | 0.0417407 | − | 0.187869i | ||||
\(676\) | 1.78210 | − | 3.08669i | 0.0685425 | − | 0.118719i | ||||
\(677\) | −7.95983 | − | 2.13283i | −0.305921 | − | 0.0819713i | 0.102593 | − | 0.994723i | \(-0.467286\pi\) |
−0.408514 | + | 0.912752i | \(0.633953\pi\) | |||||||
\(678\) | −4.34013 | − | 4.34013i | −0.166682 | − | 0.166682i | ||||
\(679\) | −36.6596 | − | 15.0732i | −1.40687 | − | 0.578456i | ||||
\(680\) | −0.108115 | − | 0.0264821i | −0.00414602 | − | 0.00101554i | ||||
\(681\) | −3.77254 | − | 6.53422i | −0.144564 | − | 0.250392i | ||||
\(682\) | −13.6785 | − | 51.0487i | −0.523775 | − | 1.95475i | ||||
\(683\) | 5.62443 | + | 20.9907i | 0.215213 | + | 0.803185i | 0.986091 | + | 0.166203i | \(0.0531508\pi\) |
−0.770879 | + | 0.636982i | \(0.780183\pi\) | |||||||
\(684\) | −0.496828 | − | 0.860531i | −0.0189967 | − | 0.0329032i | ||||
\(685\) | −20.1900 | + | 12.2452i | −0.771422 | + | 0.467867i | ||||
\(686\) | −17.2897 | + | 22.9007i | −0.660126 | + | 0.874351i | ||||
\(687\) | −18.1908 | − | 18.1908i | −0.694020 | − | 0.694020i | ||||
\(688\) | 17.7323 | + | 4.75135i | 0.676038 | + | 0.181144i | ||||
\(689\) | 11.1657 | − | 19.3396i | 0.425379 | − | 0.736779i | ||||
\(690\) | −0.173872 | − | 8.05377i | −0.00661918 | − | 0.306602i | ||||
\(691\) | −24.9666 | + | 14.4145i | −0.949775 | + | 0.548353i | −0.893011 | − | 0.450035i | \(-0.851412\pi\) |
−0.0567641 | + | 0.998388i | \(0.518078\pi\) | |||||||
\(692\) | −1.02407 | + | 1.02407i | −0.0389292 | + | 0.0389292i | ||||
\(693\) | 12.6706 | − | 5.28703i | 0.481316 | − | 0.200838i | ||||
\(694\) | 24.1639i | 0.917249i | ||||||||
\(695\) | −3.79399 | + | 1.10490i | −0.143914 | + | 0.0419111i | ||||
\(696\) | 21.9083 | + | 12.6487i | 0.830431 | + | 0.479449i | ||||
\(697\) | −0.0715788 | + | 0.0191795i | −0.00271124 | + | 0.000726475i | ||||
\(698\) | 14.0205 | − | 52.3251i | 0.530683 | − | 1.98053i | ||||
\(699\) | 26.8216 | 1.01449 | ||||||||
\(700\) | 2.24942 | + | 4.79705i | 0.0850202 | + | 0.181312i | ||||
\(701\) | 48.9967 | 1.85058 | 0.925290 | − | 0.379259i | \(-0.123821\pi\) | ||||
0.925290 | + | 0.379259i | \(0.123821\pi\) | |||||||
\(702\) | 1.87656 | − | 7.00340i | 0.0708261 | − | 0.264326i | ||||
\(703\) | −6.61358 | + | 1.77210i | −0.249436 | + | 0.0668361i | ||||
\(704\) | 26.1576 | + | 15.1021i | 0.985853 | + | 0.569182i | ||||
\(705\) | 2.51493 | − | 0.732406i | 0.0947179 | − | 0.0275840i | ||||
\(706\) | − | 5.68349i | − | 0.213901i | ||||||
\(707\) | −2.29700 | + | 17.8056i | −0.0863876 | + | 0.669649i | ||||
\(708\) | 0.126076 | − | 0.126076i | 0.00473823 | − | 0.00473823i | ||||
\(709\) | −18.3623 | + | 10.6015i | −0.689609 | + | 0.398146i | −0.803466 | − | 0.595351i | \(-0.797013\pi\) |
0.113856 | + | 0.993497i | \(0.463680\pi\) | |||||||
\(710\) | −0.160576 | − | 7.43789i | −0.00602629 | − | 0.279139i | ||||
\(711\) | −2.00389 | + | 3.47085i | −0.0751519 | + | 0.130167i | ||||
\(712\) | −9.18918 | − | 2.46223i | −0.344379 | − | 0.0922761i | ||||
\(713\) | −10.8077 | − | 10.8077i | −0.404753 | − | 0.404753i | ||||
\(714\) | 0.0502965 | + | 0.0651955i | 0.00188230 | + | 0.00243988i | ||||
\(715\) | 46.4284 | − | 28.1588i | 1.73632 | − | 1.05308i | ||||
\(716\) | 2.78163 | + | 4.81793i | 0.103954 | + | 0.180054i | ||||
\(717\) | −4.93856 | − | 18.4309i | −0.184434 | − | 0.688316i | ||||
\(718\) | 6.46070 | + | 24.1117i | 0.241111 | + | 0.899840i | ||||
\(719\) | 7.96647 | + | 13.7983i | 0.297099 | + | 0.514591i | 0.975471 | − | 0.220128i | \(-0.0706475\pi\) |
−0.678372 | + | 0.734719i | \(0.737314\pi\) | |||||||
\(720\) | −10.0788 | − | 2.46873i | −0.375614 | − | 0.0920042i | ||||
\(721\) | 24.6839 | − | 3.31511i | 0.919277 | − | 0.123461i | ||||
\(722\) | 14.0723 | + | 14.0723i | 0.523716 | + | 0.523716i | ||||
\(723\) | 11.8322 | + | 3.17042i | 0.440043 | + | 0.117909i | ||||
\(724\) | −3.08934 | + | 5.35089i | −0.114814 | + | 0.198864i | ||||
\(725\) | −27.4041 | − | 43.0597i | −1.01776 | − | 1.59920i | ||||
\(726\) | 21.3721 | − | 12.3392i | 0.793192 | − | 0.457949i | ||||
\(727\) | 20.1000 | − | 20.1000i | 0.745467 | − | 0.745467i | −0.228157 | − | 0.973624i | \(-0.573270\pi\) |
0.973624 | + | 0.228157i | \(0.0732701\pi\) | |||||||
\(728\) | −11.8156 | − | 28.3166i | −0.437915 | − | 1.04948i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | 7.17677 | + | 24.6436i | 0.265624 | + | 0.912100i | ||||
\(731\) | −0.0688172 | − | 0.0397316i | −0.00254529 | − | 0.00146953i | ||||
\(732\) | −0.529992 | + | 0.142011i | −0.0195891 | + | 0.00524887i | ||||
\(733\) | −3.75914 | + | 14.0293i | −0.138847 | + | 0.518184i | 0.861105 | + | 0.508427i | \(0.169773\pi\) |
−0.999952 | + | 0.00975769i | \(0.996894\pi\) | |||||||
\(734\) | 45.7659 | 1.68925 | ||||||||
\(735\) | −3.64466 | + | 15.2222i | −0.134435 | + | 0.561481i | ||||
\(736\) | −5.19363 | −0.191440 | ||||||||
\(737\) | −7.93672 | + | 29.6202i | −0.292353 | + | 1.09108i | ||||
\(738\) | −5.52098 | + | 1.47934i | −0.203230 | + | 0.0544553i | ||||
\(739\) | −11.2873 | − | 6.51671i | −0.415209 | − | 0.239721i | 0.277816 | − | 0.960634i | \(-0.410389\pi\) |
−0.693025 | + | 0.720913i | \(0.743723\pi\) | |||||||
\(740\) | 1.18929 | − | 2.16661i | 0.0437193 | − | 0.0796462i | ||||
\(741\) | − | 11.6101i | − | 0.426506i | ||||||
\(742\) | 7.53292 | + | 18.0530i | 0.276542 | + | 0.662745i | ||||
\(743\) | −18.6181 | + | 18.6181i | −0.683031 | + | 0.683031i | −0.960682 | − | 0.277651i | \(-0.910444\pi\) |
0.277651 | + | 0.960682i | \(0.410444\pi\) | |||||||
\(744\) | −14.1075 | + | 8.14496i | −0.517206 | + | 0.298609i | ||||
\(745\) | 11.4034 | − | 11.9067i | 0.417789 | − | 0.436226i | ||||
\(746\) | 5.87552 | − | 10.1767i | 0.215118 | − | 0.372596i | ||||
\(747\) | −5.15708 | − | 1.38184i | −0.188688 | − | 0.0505588i | ||||
\(748\) | 0.0295205 | + | 0.0295205i | 0.00107937 | + | 0.00107937i | ||||
\(749\) | 32.6205 | − | 4.38102i | 1.19193 | − | 0.160079i | ||||
\(750\) | 13.0157 | + | 11.4304i | 0.475267 | + | 0.417381i | ||||
\(751\) | 14.7401 | + | 25.5305i | 0.537872 | + | 0.931622i | 0.999018 | + | 0.0442977i | \(0.0141050\pi\) |
−0.461146 | + | 0.887324i | \(0.652562\pi\) | |||||||
\(752\) | −1.40699 | − | 5.25095i | −0.0513075 | − | 0.191482i | ||||
\(753\) | −6.37873 | − | 23.8057i | −0.232454 | − | 0.867529i | ||||
\(754\) | −37.0067 | − | 64.0974i | −1.34770 | − | 2.33429i | ||||
\(755\) | −8.70137 | + | 35.5240i | −0.316675 | + | 1.29285i | ||||
\(756\) | 0.647263 | + | 0.838997i | 0.0235407 | + | 0.0305140i | ||||
\(757\) | 5.70030 | + | 5.70030i | 0.207181 | + | 0.207181i | 0.803068 | − | 0.595887i | \(-0.203199\pi\) |
−0.595887 | + | 0.803068i | \(0.703199\pi\) | |||||||
\(758\) | −26.2016 | − | 7.02070i | −0.951685 | − | 0.255003i | ||||
\(759\) | 6.03305 | − | 10.4495i | 0.218986 | − | 0.379294i | ||||
\(760\) | −13.7448 | + | 0.296734i | −0.498575 | + | 0.0107637i | ||||
\(761\) | −47.3925 | + | 27.3621i | −1.71798 | + | 0.991874i | −0.795375 | + | 0.606118i | \(0.792726\pi\) |
−0.922601 | + | 0.385756i | \(0.873941\pi\) | |||||||
\(762\) | −4.08012 | + | 4.08012i | −0.147807 | + | 0.147807i | ||||
\(763\) | 2.95477 | − | 22.9045i | 0.106970 | − | 0.829197i | ||||
\(764\) | − | 0.0227467i | − | 0.000822947i | ||||||
\(765\) | 0.0393745 | + | 0.0216134i | 0.00142359 | + | 0.000781434i | ||||
\(766\) | 15.9494 | + | 9.20839i | 0.576275 | + | 0.332713i | ||||
\(767\) | 2.01229 | − | 0.539191i | 0.0726595 | − | 0.0194691i | ||||
\(768\) | −2.39473 | + | 8.93726i | −0.0864124 | + | 0.322495i | ||||
\(769\) | 42.0339 | 1.51578 | 0.757891 | − | 0.652381i | \(-0.226230\pi\) | ||||
0.757891 | + | 0.652381i | \(0.226230\pi\) | |||||||
\(770\) | −5.06606 | + | 47.2946i | −0.182568 | + | 1.70438i | ||||
\(771\) | −8.49497 | −0.305939 | ||||||||
\(772\) | 0.246355 | − | 0.919410i | 0.00886651 | − | 0.0330903i | ||||
\(773\) | −27.5886 | + | 7.39235i | −0.992294 | + | 0.265884i | −0.718214 | − | 0.695822i | \(-0.755040\pi\) |
−0.274080 | + | 0.961707i | \(0.588373\pi\) | |||||||
\(774\) | −5.30797 | − | 3.06456i | −0.190791 | − | 0.110153i | ||||
\(775\) | 32.8361 | − | 1.41845i | 1.17951 | − | 0.0509521i | ||||
\(776\) | 37.1270i | 1.33278i | ||||||||
\(777\) | 6.73854 | − | 2.81178i | 0.241744 | − | 0.100872i | ||||
\(778\) | −9.49042 | + | 9.49042i | −0.340248 | + | 0.340248i | ||||
\(779\) | −7.92632 | + | 4.57627i | −0.283990 | + | 0.163962i | ||||
\(780\) | 3.02673 | + | 2.89880i | 0.108374 | + | 0.103794i | ||||
\(781\) | 5.57169 | − | 9.65045i | 0.199371 | − | 0.345320i | ||||
\(782\) | 0.0699004 | + | 0.0187298i | 0.00249963 | + | 0.000669775i | ||||
\(783\) | −7.21821 | − | 7.21821i | −0.257958 | − | 0.257958i | ||||
\(784\) | 31.4208 | + | 8.24403i | 1.12217 | + | 0.294430i | ||||
\(785\) | 26.5877 | + | 43.8380i | 0.948955 | + | 1.56465i | ||||
\(786\) | 2.33081 | + | 4.03707i | 0.0831371 | + | 0.143998i | ||||
\(787\) | 4.30097 | + | 16.0514i | 0.153313 | + | 0.572172i | 0.999244 | + | 0.0388795i | \(0.0123789\pi\) |
−0.845931 | + | 0.533293i | \(0.820954\pi\) | |||||||
\(788\) | −0.0368135 | − | 0.137390i | −0.00131143 | − | 0.00489432i | ||||
\(789\) | −12.3028 | − | 21.3090i | −0.437990 | − | 0.758621i | ||||
\(790\) | −7.20035 | − | 11.8720i | −0.256177 | − | 0.422387i | ||||
\(791\) | 9.69387 | + | 3.98579i | 0.344674 | + | 0.141718i | ||||
\(792\) | −9.09329 | − | 9.09329i | −0.323116 | − | 0.323116i | ||||
\(793\) | −6.19252 | − | 1.65928i | −0.219903 | − | 0.0589228i | ||||
\(794\) | 2.02922 | − | 3.51471i | 0.0720142 | − | 0.124732i | ||||
\(795\) | 7.70632 | + | 7.38062i | 0.273315 | + | 0.261763i | ||||
\(796\) | −8.70866 | + | 5.02795i | −0.308670 | + | 0.178211i | ||||
\(797\) | −18.2572 | + | 18.2572i | −0.646702 | + | 0.646702i | −0.952194 | − | 0.305492i | \(-0.901179\pi\) |
0.305492 | + | 0.952194i | \(0.401179\pi\) | |||||||
\(798\) | 8.08451 | + | 6.17008i | 0.286189 | + | 0.218419i | ||||
\(799\) | 0.0235309i | 0.000832464i | ||||||||
\(800\) | 7.54883 | − | 8.23047i | 0.266892 | − | 0.290991i | ||||
\(801\) | 3.32453 | + | 1.91942i | 0.117467 | + | 0.0678193i | ||||
\(802\) | 14.9063 | − | 3.99414i | 0.526361 | − | 0.141038i | ||||
\(803\) | −9.95046 | + | 37.1356i | −0.351144 | + | 1.31049i | ||||
\(804\) | −2.36677 | −0.0834696 | ||||||||
\(805\) | 5.57012 | + | 12.5780i | 0.196321 | + | 0.443316i | ||||
\(806\) | 47.6597 | 1.67874 | ||||||||
\(807\) | −5.15927 | + | 19.2547i | −0.181615 | + | 0.677797i | ||||
\(808\) | 16.2431 | − | 4.35232i | 0.571430 | − | 0.153114i | ||||
\(809\) | 23.6794 | + | 13.6713i | 0.832525 | + | 0.480658i | 0.854716 | − | 0.519095i | \(-0.173731\pi\) |
−0.0221916 | + | 0.999754i | \(0.507064\pi\) | |||||||
\(810\) | 3.03701 | + | 1.66707i | 0.106710 | + | 0.0585750i | ||||
\(811\) | 23.3175i | 0.818788i | 0.912358 | + | 0.409394i | \(0.134260\pi\) | ||||
−0.912358 | + | 0.409394i | \(0.865740\pi\) | |||||||
\(812\) | 10.7281 | + | 1.38398i | 0.376484 | + | 0.0485680i | ||||
\(813\) | 19.9818 | − | 19.9818i | 0.700793 | − | 0.700793i | ||||
\(814\) | 19.2157 | − | 11.0942i | 0.673511 | − | 0.388852i | ||||
\(815\) | −34.1248 | + | 0.736715i | −1.19534 | + | 0.0258060i | ||||
\(816\) | 0.0466086 | − | 0.0807284i | 0.00163163 | − | 0.00282606i | ||||
\(817\) | −9.48005 | − | 2.54017i | −0.331665 | − | 0.0888693i | ||||
\(818\) | −8.83640 | − | 8.83640i | −0.308958 | − | 0.308958i | ||||
\(819\) | 1.64803 | + | 12.2710i | 0.0575868 | + | 0.428784i | ||||
\(820\) | 0.786020 | − | 3.20899i | 0.0274490 | − | 0.112063i | ||||
\(821\) | 3.20706 | + | 5.55480i | 0.111927 | + | 0.193864i | 0.916547 | − | 0.399926i | \(-0.130964\pi\) |
−0.804620 | + | 0.593790i | \(0.797631\pi\) | |||||||
\(822\) | −4.23466 | − | 15.8040i | −0.147701 | − | 0.551226i | ||||
\(823\) | −1.64399 | − | 6.13547i | −0.0573061 | − | 0.213869i | 0.931335 | − | 0.364163i | \(-0.118645\pi\) |
−0.988641 | + | 0.150294i | \(0.951978\pi\) | |||||||
\(824\) | −11.6641 | − | 20.2027i | −0.406337 | − | 0.703796i | ||||
\(825\) | 7.79072 | + | 24.7489i | 0.271238 | + | 0.861646i | ||||
\(826\) | −0.693958 | + | 1.68778i | −0.0241459 | + | 0.0587254i | ||||
\(827\) | −31.0388 | − | 31.0388i | −1.07932 | − | 1.07932i | −0.996570 | − | 0.0827533i | \(-0.973629\pi\) |
−0.0827533 | − | 0.996570i | \(-0.526371\pi\) | |||||||
\(828\) | 0.899544 | + | 0.241032i | 0.0312613 | + | 0.00837644i | ||||
\(829\) | −25.4622 | + | 44.1019i | −0.884340 | + | 1.53172i | −0.0378716 | + | 0.999283i | \(0.512058\pi\) |
−0.846468 | + | 0.532439i | \(0.821276\pi\) | |||||||
\(830\) | 12.7939 | − | 13.3585i | 0.444082 | − | 0.463680i | ||||
\(831\) | −25.8649 | + | 14.9331i | −0.897242 | + | 0.518023i | ||||
\(832\) | −19.2603 | + | 19.2603i | −0.667732 | + | 0.667732i | ||||
\(833\) | −0.122137 | − | 0.0696702i | −0.00423179 | − | 0.00241393i | ||||
\(834\) | − | 2.73804i | − | 0.0948107i | ||||||
\(835\) | 13.1007 | − | 23.8664i | 0.453370 | − | 0.825932i | ||||
\(836\) | 4.46549 | + | 2.57815i | 0.154442 | + | 0.0891672i | ||||
\(837\) | 6.34936 | − | 1.70131i | 0.219466 | − | 0.0588057i | ||||
\(838\) | 0.524695 | − | 1.95819i | 0.0181253 | − | 0.0676444i | ||||
\(839\) | −46.0999 | −1.59155 | −0.795773 | − | 0.605596i | \(-0.792935\pi\) | ||||
−0.795773 | + | 0.605596i | \(0.792935\pi\) | |||||||
\(840\) | 14.4852 | − | 2.26468i | 0.499785 | − | 0.0781387i | ||||
\(841\) | −75.2050 | −2.59328 | ||||||||
\(842\) | −1.15523 | + | 4.31138i | −0.0398119 | + | 0.148580i | ||||
\(843\) | −17.3472 | + | 4.64818i | −0.597471 | + | 0.160092i | ||||
\(844\) | 5.27423 | + | 3.04508i | 0.181547 | + | 0.104816i | ||||
\(845\) | 5.56393 | + | 19.1054i | 0.191405 | + | 0.657246i | ||||
\(846\) | 1.81497i | 0.0624001i | ||||||||
\(847\) | −25.5672 | + | 33.5000i | −0.878498 | + | 1.15107i | ||||
\(848\) | 15.6590 | − | 15.6590i | 0.537731 | − | 0.537731i | ||||
\(849\) | −19.7406 | + | 11.3972i | −0.677496 | + | 0.391152i | ||||
\(850\) | −0.131280 | + | 0.0835494i | −0.00450287 | + | 0.00286572i | ||||
\(851\) | 3.20853 | − | 5.55733i | 0.109987 | − | 0.190503i | ||||
\(852\) | 0.830755 | + | 0.222600i | 0.0284612 | + | 0.00762615i | ||||
\(853\) | −6.59157 | − | 6.59157i | −0.225691 | − | 0.225691i | 0.585199 | − | 0.810890i | \(-0.301017\pi\) |
−0.810890 | + | 0.585199i | \(0.801017\pi\) | |||||||
\(854\) | 4.44639 | − | 3.43027i | 0.152152 | − | 0.117381i | ||||
\(855\) | 5.38832 | + | 1.31983i | 0.184277 | + | 0.0451374i | ||||
\(856\) | −15.4144 | − | 26.6985i | −0.526854 | − | 0.912538i | ||||
\(857\) | −2.82487 | − | 10.5425i | −0.0964956 | − | 0.360126i | 0.900746 | − | 0.434345i | \(-0.143020\pi\) |
−0.997242 | + | 0.0742191i | \(0.976354\pi\) | |||||||
\(858\) | 9.73788 | + | 36.3423i | 0.332446 | + | 1.24070i | ||||
\(859\) | 6.71182 | + | 11.6252i | 0.229004 | + | 0.396647i | 0.957513 | − | 0.288389i | \(-0.0931196\pi\) |
−0.728509 | + | 0.685036i | \(0.759786\pi\) | |||||||
\(860\) | 3.02920 | − | 1.83721i | 0.103295 | − | 0.0626482i | ||||
\(861\) | 7.72798 | − | 5.96192i | 0.263369 | − | 0.203182i | ||||
\(862\) | −22.8233 | − | 22.8233i | −0.777365 | − | 0.777365i | ||||
\(863\) | 52.5015 | + | 14.0677i | 1.78717 | + | 0.478871i | 0.991861 | − | 0.127329i | \(-0.0406403\pi\) |
0.795312 | + | 0.606200i | \(0.207307\pi\) | |||||||
\(864\) | 1.11681 | − | 1.93436i | 0.0379945 | − | 0.0658084i | ||||
\(865\) | −0.174519 | − | 8.08374i | −0.00593381 | − | 0.274855i | ||||
\(866\) | −10.8564 | + | 6.26794i | −0.368915 | + | 0.212993i | ||||
\(867\) | 12.0205 | − | 12.0205i | 0.408239 | − | 0.408239i | ||||
\(868\) | −4.22590 | + | 5.53709i | −0.143436 | + | 0.187941i | ||||
\(869\) | − | 20.7973i | − | 0.705501i | ||||||
\(870\) | 33.9550 | − | 9.88848i | 1.15118 | − | 0.335251i | ||||
\(871\) | −23.9489 | − | 13.8269i | −0.811478 | − | 0.468507i | ||||
\(872\) | −20.8945 | + | 5.59866i | −0.707577 | + | 0.189595i | ||||
\(873\) | 3.87751 | − | 14.4711i | 0.131234 | − | 0.489772i | ||||
\(874\) | 8.93792 | 0.302330 | ||||||||
\(875\) | −28.0287 | − | 9.45477i | −0.947543 | − | 0.319630i | ||||
\(876\) | −2.96728 | −0.100255 | ||||||||
\(877\) | 6.37339 | − | 23.7858i | 0.215214 | − | 0.803191i | −0.770877 | − | 0.636984i | \(-0.780182\pi\) |
0.986091 | − | 0.166206i | \(-0.0531517\pi\) | |||||||
\(878\) | −12.9292 | + | 3.46438i | −0.436341 | + | 0.116917i | ||||
\(879\) | 21.2212 | + | 12.2521i | 0.715775 | + | 0.413253i | ||||
\(880\) | 51.6995 | − | 15.0561i | 1.74279 | − | 0.507540i | ||||
\(881\) | − | 16.1540i | − | 0.544243i | −0.962263 | − | 0.272121i | \(-0.912275\pi\) | ||
0.962263 | − | 0.272121i | \(-0.0877253\pi\) | |||||||
\(882\) | −9.42060 | − | 5.37377i | −0.317208 | − | 0.180944i | ||||
\(883\) | −34.4853 | + | 34.4853i | −1.16052 | + | 1.16052i | −0.176161 | + | 0.984361i | \(0.556368\pi\) |
−0.984361 | + | 0.176161i | \(0.943632\pi\) | |||||||
\(884\) | −0.0326046 | + | 0.0188243i | −0.00109661 | + | 0.000633130i | ||||
\(885\) | 0.0214855 | + | 0.995215i | 0.000722229 | + | 0.0334538i | ||||
\(886\) | 24.1119 | − | 41.7630i | 0.810055 | − | 1.40306i | ||||
\(887\) | 15.2613 | + | 4.08925i | 0.512424 | + | 0.137304i | 0.505760 | − | 0.862674i | \(-0.331212\pi\) |
0.00666382 | + | 0.999978i | \(0.497879\pi\) | |||||||
\(888\) | −4.83604 | − | 4.83604i | −0.162287 | − | 0.162287i | ||||
\(889\) | 3.74700 | − | 9.11311i | 0.125670 | − | 0.305644i | ||||
\(890\) | −11.3715 | + | 6.89682i | −0.381175 | + | 0.231182i | ||||
\(891\) | 2.59461 | + | 4.49400i | 0.0869229 | + | 0.150555i | ||||
\(892\) | −0.527280 | − | 1.96784i | −0.0176546 | − | 0.0658880i | ||||
\(893\) | 0.752204 | + | 2.80726i | 0.0251715 | + | 0.0939415i | ||||
\(894\) | 5.71172 | + | 9.89298i | 0.191028 | + | 0.330871i | ||||
\(895\) | −30.1680 | − | 7.38946i | −1.00841 | − | 0.247003i | ||||
\(896\) | −4.74913 | − | 35.3614i | −0.158657 | − | 1.18134i | ||||
\(897\) | 7.69418 | + | 7.69418i | 0.256901 | + | 0.256901i | ||||
\(898\) | −60.3408 | − | 16.1683i | −2.01360 | − | 0.539542i | ||||
\(899\) | 33.5506 | − | 58.1113i | 1.11898 | − | 1.93812i | ||||
\(900\) | −1.68944 | + | 1.07519i | −0.0563145 | + | 0.0358397i | ||||
\(901\) | −0.0830144 | + | 0.0479284i | −0.00276561 | + | 0.00159673i | ||||
\(902\) | 20.9730 | − | 20.9730i | 0.698324 | − | 0.698324i | ||||
\(903\) | 10.3803 | + | 1.33911i | 0.345435 | + | 0.0445627i | ||||
\(904\) | − | 9.81746i | − | 0.326524i | ||||||
\(905\) | −9.64526 | − | 33.1199i | −0.320619 | − | 1.10094i | ||||
\(906\) | −21.9468 | − | 12.6710i | −0.729135 | − | 0.420966i | ||||
\(907\) | 35.5158 | − | 9.51643i | 1.17928 | − | 0.315988i | 0.384641 | − | 0.923066i | \(-0.374325\pi\) |
0.794642 | + | 0.607078i | \(0.207659\pi\) | |||||||
\(908\) | −0.782122 | + | 2.91892i | −0.0259556 | + | 0.0968677i | ||||
\(909\) | −6.78565 | −0.225066 | ||||||||
\(910\) | −40.0146 | − | 15.4516i | −1.32647 | − | 0.512216i | ||||
\(911\) | 30.1482 | 0.998856 | 0.499428 | − | 0.866355i | \(-0.333544\pi\) | ||||
0.499428 | + | 0.866355i | \(0.333544\pi\) | |||||||
\(912\) | 2.97984 | − | 11.1209i | 0.0986722 | − | 0.368250i | ||||
\(913\) | 26.7613 | − | 7.17067i | 0.885670 | − | 0.237314i | ||||
\(914\) | −17.9637 | − | 10.3713i | −0.594186 | − | 0.343054i | ||||
\(915\) | 1.47405 | − | 2.68537i | 0.0487307 | − | 0.0887757i | ||||
\(916\) | 10.3034i | 0.340434i | ||||||||
\(917\) | −6.32798 | − | 4.82950i | −0.208968 | − | 0.159484i | ||||
\(918\) | −0.0220068 | + | 0.0220068i | −0.000726333 | + | 0.000726333i | ||||
\(919\) | 1.03427 | − | 0.597138i | 0.0341175 | − | 0.0196978i | −0.482844 | − | 0.875706i | \(-0.660396\pi\) |
0.516962 | + | 0.856009i | \(0.327063\pi\) | |||||||
\(920\) | 8.91224 | − | 9.30554i | 0.293828 | − | 0.306795i | ||||
\(921\) | −5.00440 | + | 8.66788i | −0.164901 | + | 0.285616i | ||||
\(922\) | 3.10176 | + | 0.831113i | 0.102151 | + | 0.0273713i | ||||
\(923\) | 7.10580 | + | 7.10580i | 0.233890 | + | 0.233890i | ||||
\(924\) | −5.08568 | − | 2.09106i | −0.167306 | − | 0.0687908i | ||||
\(925\) | 4.14330 | + | 13.1621i | 0.136231 | + | 0.432767i | ||||
\(926\) | 14.2142 | + | 24.6198i | 0.467109 | + | 0.809056i | ||||
\(927\) | 2.43637 | + | 9.09265i | 0.0800208 | + | 0.298642i | ||||
\(928\) | −5.90131 | − | 22.0240i | −0.193720 | − | 0.722972i | ||||
\(929\) | 6.23132 | + | 10.7930i | 0.204443 | + | 0.354105i | 0.949955 | − | 0.312387i | \(-0.101128\pi\) |
−0.745512 | + | 0.666492i | \(0.767795\pi\) | |||||||
\(930\) | −5.41797 | + | 22.1193i | −0.177662 | + | 0.725319i | ||||
\(931\) | −16.7982 | − | 4.40743i | −0.550538 | − | 0.144448i | ||||
\(932\) | −7.59599 | − | 7.59599i | −0.248815 | − | 0.248815i | ||||
\(933\) | 4.81886 | + | 1.29121i | 0.157762 | + | 0.0422723i | ||||
\(934\) | −19.9480 | + | 34.5509i | −0.652718 | + | 1.13054i | ||||
\(935\) | −0.233027 | + | 0.00503079i | −0.00762081 | + | 0.000164525i | ||||
\(936\) | 10.0433 | − | 5.79851i | 0.328276 | − | 0.189530i | ||||
\(937\) | 34.0770 | − | 34.0770i | 1.11325 | − | 1.11325i | 0.120539 | − | 0.992709i | \(-0.461538\pi\) |
0.992709 | − | 0.120539i | \(-0.0384623\pi\) | |||||||
\(938\) | 22.3557 | − | 9.32830i | 0.729939 | − | 0.304580i | ||||
\(939\) | 5.89955i | 0.192525i | ||||||||
\(940\) | −0.919661 | − | 0.504820i | −0.0299960 | − | 0.0164654i | ||||
\(941\) | 40.3625 | + | 23.3033i | 1.31578 | + | 0.759666i | 0.983047 | − | 0.183354i | \(-0.0586956\pi\) |
0.332734 | + | 0.943021i | \(0.392029\pi\) | |||||||
\(942\) | −34.3146 | + | 9.19457i | −1.11803 | + | 0.299575i | ||||
\(943\) | 2.22014 | − | 8.28567i | 0.0722977 | − | 0.269819i | ||||
\(944\) | 2.06590 | 0.0672392 | ||||||||
\(945\) | −5.88243 | − | 0.630109i | −0.191355 | − | 0.0204974i | ||||
\(946\) | 31.8054 | 1.03408 | ||||||||
\(947\) | −3.05436 | + | 11.3990i | −0.0992533 | + | 0.370418i | −0.997630 | − | 0.0688075i | \(-0.978081\pi\) |
0.898377 | + | 0.439226i | \(0.144747\pi\) | |||||||
\(948\) | 1.55047 | − | 0.415447i | 0.0503569 | − | 0.0134931i | ||||
\(949\) | −30.0254 | − | 17.3352i | −0.974665 | − | 0.562723i | ||||
\(950\) | −12.9911 | + | 14.1641i | −0.421486 | + | 0.459545i | ||||
\(951\) | 0.882064i | 0.0286029i | ||||||||
\(952\) | −0.0168509 | + | 0.130623i | −0.000546140 | + | 0.00423350i | ||||
\(953\) | −28.2281 | + | 28.2281i | −0.914399 | + | 0.914399i | −0.996615 | − | 0.0822160i | \(-0.973800\pi\) |
0.0822160 | + | 0.996615i | \(0.473800\pi\) | |||||||
\(954\) | −6.40302 | + | 3.69679i | −0.207305 | + | 0.119688i | ||||
\(955\) | 0.0917167 | + | 0.0878403i | 0.00296788 | + | 0.00284244i | ||||
\(956\) | −3.82110 | + | 6.61834i | −0.123583 | + | 0.214052i | ||||
\(957\) | 51.1671 | + | 13.7102i | 1.65400 | + | 0.443187i | ||||
\(958\) | −27.3890 | − | 27.3890i | −0.884898 | − | 0.884898i | ||||
\(959\) | 17.0662 | + | 22.1216i | 0.551095 | + | 0.714342i | ||||
\(960\) | −6.74935 | − | 11.1284i | −0.217834 | − | 0.359167i | ||||
\(961\) | 6.10438 | + | 10.5731i | 0.196916 | + | 0.341068i | ||||
\(962\) | 5.17885 | + | 19.3277i | 0.166973 | + | 0.623151i | ||||
\(963\) | 3.21974 | + | 12.0162i | 0.103755 | + | 0.387217i | ||||
\(964\) | −2.45304 | − | 4.24879i | −0.0790072 | − | 0.136844i | ||||
\(965\) | 2.75580 | + | 4.54379i | 0.0887123 | + | 0.146270i | ||||
\(966\) | −9.44676 | + | 1.26872i | −0.303944 | + | 0.0408205i | ||||
\(967\) | −22.3045 | − | 22.3045i | −0.717263 | − | 0.717263i | 0.250781 | − | 0.968044i | \(-0.419313\pi\) |
−0.968044 | + | 0.250781i | \(0.919313\pi\) | |||||||
\(968\) | 38.1277 | + | 10.2163i | 1.22547 | + | 0.328364i | ||||
\(969\) | −0.0249179 | + | 0.0431590i | −0.000800478 | + | 0.00138647i | ||||
\(970\) | 37.4847 | + | 35.9004i | 1.20356 | + | 1.15269i | ||||
\(971\) | −25.5151 | + | 14.7312i | −0.818819 | + | 0.472745i | −0.850009 | − | 0.526768i | \(-0.823404\pi\) |
0.0311899 | + | 0.999513i | \(0.490070\pi\) | |||||||
\(972\) | −0.283204 | + | 0.283204i | −0.00908378 | + | 0.00908378i | ||||
\(973\) | 1.80052 | + | 4.31502i | 0.0577220 | + | 0.138333i | ||||
\(974\) | − | 42.2648i | − | 1.35425i | ||||||
\(975\) | −23.3765 | + | 1.00981i | −0.748646 | + | 0.0323399i | ||||
\(976\) | −5.50575 | − | 3.17875i | −0.176235 | − | 0.101749i | ||||
\(977\) | 4.03368 | − | 1.08082i | 0.129049 | − | 0.0345785i | −0.193717 | − | 0.981058i | \(-0.562054\pi\) |
0.322765 | + | 0.946479i | \(0.395388\pi\) | |||||||
\(978\) | 6.12117 | − | 22.8445i | 0.195733 | − | 0.730487i | ||||
\(979\) | −19.9206 | −0.636666 | ||||||||
\(980\) | 5.34319 | − | 3.27882i | 0.170682 | − | 0.104738i | ||||
\(981\) | 8.72881 | 0.278689 | ||||||||
\(982\) | 9.41557 | − | 35.1394i | 0.300463 | − | 1.12134i | ||||
\(983\) | 2.84866 | − | 0.763296i | 0.0908581 | − | 0.0243454i | −0.213104 | − | 0.977030i | \(-0.568357\pi\) |
0.303962 | + | 0.952684i | \(0.401691\pi\) | |||||||
\(984\) | −7.91743 | − | 4.57113i | −0.252398 | − | 0.145722i | ||||
\(985\) | 0.696130 | + | 0.382120i | 0.0221806 | + | 0.0121753i | ||||
\(986\) | 0.317700i | 0.0101176i | ||||||||
\(987\) | −1.19351 | − | 2.86031i | −0.0379900 | − | 0.0910446i | ||||
\(988\) | −3.28802 | + | 3.28802i | −0.104606 | + | 0.104606i | ||||
\(989\) | 7.96600 | − | 4.59917i | 0.253304 | − | 0.146245i | ||||
\(990\) | −17.9737 | + | 0.388033i | −0.571243 | + | 0.0123325i | ||||
\(991\) | 13.7168 | − | 23.7582i | 0.435729 | − | 0.754706i | −0.561625 | − | 0.827392i | \(-0.689824\pi\) |
0.997355 | + | 0.0726861i | \(0.0231571\pi\) | |||||||
\(992\) | 14.1820 | + | 3.80005i | 0.450279 | + | 0.120652i | ||||
\(993\) | 16.9411 | + | 16.9411i | 0.537610 | + | 0.537610i | ||||
\(994\) | −8.72435 | + | 1.17170i | −0.276720 | + | 0.0371641i | ||||
\(995\) | 13.3569 | − | 54.5304i | 0.423441 | − | 1.72873i | ||||
\(996\) | 1.06917 | + | 1.85185i | 0.0338778 | + | 0.0586781i | ||||
\(997\) | 5.52820 | + | 20.6315i | 0.175080 | + | 0.653407i | 0.996538 | + | 0.0831381i | \(0.0264943\pi\) |
−0.821458 | + | 0.570269i | \(0.806839\pi\) | |||||||
\(998\) | −11.4922 | − | 42.8897i | −0.363781 | − | 1.35765i | ||||
\(999\) | 1.37988 | + | 2.39003i | 0.0436575 | + | 0.0756170i |
(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 | 105.2.u.a.52.3 | ✓ | 32 | |
3.2 | odd | 2 | 315.2.bz.d.262.6 | 32 | |||
5.2 | odd | 4 | 525.2.bc.e.493.3 | 32 | |||
5.3 | odd | 4 | inner | 105.2.u.a.73.6 | yes | 32 | |
5.4 | even | 2 | 525.2.bc.e.157.6 | 32 | |||
7.2 | even | 3 | 735.2.v.b.607.6 | 32 | |||
7.3 | odd | 6 | 735.2.m.c.97.6 | 32 | |||
7.4 | even | 3 | 735.2.m.c.97.5 | 32 | |||
7.5 | odd | 6 | inner | 105.2.u.a.82.6 | yes | 32 | |
7.6 | odd | 2 | 735.2.v.b.472.3 | 32 | |||
15.8 | even | 4 | 315.2.bz.d.73.3 | 32 | |||
21.5 | even | 6 | 315.2.bz.d.82.3 | 32 | |||
35.3 | even | 12 | 735.2.m.c.538.5 | 32 | |||
35.12 | even | 12 | 525.2.bc.e.418.6 | 32 | |||
35.13 | even | 4 | 735.2.v.b.178.6 | 32 | |||
35.18 | odd | 12 | 735.2.m.c.538.6 | 32 | |||
35.19 | odd | 6 | 525.2.bc.e.82.3 | 32 | |||
35.23 | odd | 12 | 735.2.v.b.313.3 | 32 | |||
35.33 | even | 12 | inner | 105.2.u.a.103.3 | yes | 32 | |
105.68 | odd | 12 | 315.2.bz.d.208.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.u.a.52.3 | ✓ | 32 | 1.1 | even | 1 | trivial | |
105.2.u.a.73.6 | yes | 32 | 5.3 | odd | 4 | inner | |
105.2.u.a.82.6 | yes | 32 | 7.5 | odd | 6 | inner | |
105.2.u.a.103.3 | yes | 32 | 35.33 | even | 12 | inner | |
315.2.bz.d.73.3 | 32 | 15.8 | even | 4 | |||
315.2.bz.d.82.3 | 32 | 21.5 | even | 6 | |||
315.2.bz.d.208.6 | 32 | 105.68 | odd | 12 | |||
315.2.bz.d.262.6 | 32 | 3.2 | odd | 2 | |||
525.2.bc.e.82.3 | 32 | 35.19 | odd | 6 | |||
525.2.bc.e.157.6 | 32 | 5.4 | even | 2 | |||
525.2.bc.e.418.6 | 32 | 35.12 | even | 12 | |||
525.2.bc.e.493.3 | 32 | 5.2 | odd | 4 | |||
735.2.m.c.97.5 | 32 | 7.4 | even | 3 | |||
735.2.m.c.97.6 | 32 | 7.3 | odd | 6 | |||
735.2.m.c.538.5 | 32 | 35.3 | even | 12 | |||
735.2.m.c.538.6 | 32 | 35.18 | odd | 12 | |||
735.2.v.b.178.6 | 32 | 35.13 | even | 4 | |||
735.2.v.b.313.3 | 32 | 35.23 | odd | 12 | |||
735.2.v.b.472.3 | 32 | 7.6 | odd | 2 | |||
735.2.v.b.607.6 | 32 | 7.2 | even | 3 |