Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.10 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.a.535.9 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.946315 | + | 1.05095i | −0.669146 | + | 0.743131i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | −0.208975 | − | 1.98905i | −0.104488 | − | 0.994526i | ||||
\(5\) | 4.42921i | 1.98080i | 0.138224 | + | 0.990401i | \(0.455861\pi\) | ||||
−0.138224 | + | 0.990401i | \(0.544139\pi\) | |||||||
\(6\) | 0.946315 | − | 1.05095i | 0.386332 | − | 0.429047i | ||||
\(7\) | −2.81753 | −1.06493 | −0.532464 | − | 0.846453i | \(-0.678734\pi\) | ||||
−0.532464 | + | 0.846453i | \(0.678734\pi\) | |||||||
\(8\) | 2.28814 | + | 1.66265i | 0.808981 | + | 0.587835i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −4.65486 | − | 4.19143i | −1.47200 | − | 1.32545i | ||||
\(11\) | −4.49085 | −1.35404 | −0.677022 | − | 0.735963i | \(-0.736730\pi\) | ||||
−0.677022 | + | 0.735963i | \(0.736730\pi\) | |||||||
\(12\) | 0.208975 | + | 1.98905i | 0.0603259 | + | 0.574190i | ||||
\(13\) | − | 6.44697i | − | 1.78807i | −0.447998 | − | 0.894035i | \(-0.647863\pi\) | ||
0.447998 | − | 0.894035i | \(-0.352137\pi\) | |||||||
\(14\) | 2.66628 | − | 2.96108i | 0.712592 | − | 0.791381i | ||||
\(15\) | − | 4.42921i | − | 1.14362i | ||||||
\(16\) | −3.91266 | + | 0.831325i | −0.978165 | + | 0.207831i | ||||
\(17\) | 1.33300 | 0.323301 | 0.161651 | − | 0.986848i | \(-0.448318\pi\) | ||||
0.161651 | + | 0.986848i | \(0.448318\pi\) | |||||||
\(18\) | −0.946315 | + | 1.05095i | −0.223049 | + | 0.247710i | ||||
\(19\) | 1.70948i | 0.392183i | 0.980586 | + | 0.196091i | \(0.0628249\pi\) | ||||
−0.980586 | + | 0.196091i | \(0.937175\pi\) | |||||||
\(20\) | 8.80993 | − | 0.925594i | 1.96996 | − | 0.206969i | ||||
\(21\) | 2.81753 | 0.614836 | ||||||||
\(22\) | 4.24976 | − | 4.71965i | 0.906053 | − | 1.00623i | ||||
\(23\) | 3.41301i | 0.711661i | 0.934551 | + | 0.355830i | \(0.115802\pi\) | ||||
−0.934551 | + | 0.355830i | \(0.884198\pi\) | |||||||
\(24\) | −2.28814 | − | 1.66265i | −0.467065 | − | 0.339387i | ||||
\(25\) | −14.6179 | −2.92358 | ||||||||
\(26\) | 6.77542 | + | 6.10087i | 1.32877 | + | 1.19648i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0.588795 | + | 5.60422i | 0.111272 | + | 1.05910i | ||||
\(29\) | −3.13779 | −0.582672 | −0.291336 | − | 0.956621i | \(-0.594100\pi\) | ||||
−0.291336 | + | 0.956621i | \(0.594100\pi\) | |||||||
\(30\) | 4.65486 | + | 4.19143i | 0.849857 | + | 0.765246i | ||||
\(31\) | 8.45275 | 1.51816 | 0.759080 | − | 0.650998i | \(-0.225649\pi\) | ||||
0.759080 | + | 0.650998i | \(0.225649\pi\) | |||||||
\(32\) | 2.82893 | − | 4.89869i | 0.500089 | − | 0.865974i | ||||
\(33\) | 4.49085 | 0.781757 | ||||||||
\(34\) | −1.26144 | + | 1.40092i | −0.216336 | + | 0.240255i | ||||
\(35\) | − | 12.4794i | − | 2.10941i | ||||||
\(36\) | −0.208975 | − | 1.98905i | −0.0348292 | − | 0.331509i | ||||
\(37\) | 5.75928 | 0.946820 | 0.473410 | − | 0.880842i | \(-0.343023\pi\) | ||||
0.473410 | + | 0.880842i | \(0.343023\pi\) | |||||||
\(38\) | −1.79658 | − | 1.61771i | −0.291443 | − | 0.262427i | ||||
\(39\) | 6.44697i | 1.03234i | ||||||||
\(40\) | −7.36422 | + | 10.1347i | −1.16438 | + | 1.60243i | ||||
\(41\) | − | 5.15047i | − | 0.804368i | −0.915559 | − | 0.402184i | \(-0.868251\pi\) | ||
0.915559 | − | 0.402184i | \(-0.131749\pi\) | |||||||
\(42\) | −2.66628 | + | 2.96108i | −0.411415 | + | 0.456904i | ||||
\(43\) | 1.06496 | 0.162404 | 0.0812022 | − | 0.996698i | \(-0.474124\pi\) | ||||
0.0812022 | + | 0.996698i | \(0.474124\pi\) | |||||||
\(44\) | 0.938477 | + | 8.93254i | 0.141481 | + | 1.34663i | ||||
\(45\) | 4.42921i | 0.660267i | ||||||||
\(46\) | −3.58689 | − | 3.22978i | −0.528857 | − | 0.476205i | ||||
\(47\) | 4.52896i | 0.660617i | 0.943873 | + | 0.330308i | \(0.107153\pi\) | ||||
−0.943873 | + | 0.330308i | \(0.892847\pi\) | |||||||
\(48\) | 3.91266 | − | 0.831325i | 0.564744 | − | 0.119991i | ||||
\(49\) | 0.938501 | 0.134072 | ||||||||
\(50\) | 13.8331 | − | 15.3626i | 1.95630 | − | 2.17260i | ||||
\(51\) | −1.33300 | −0.186658 | ||||||||
\(52\) | −12.8234 | + | 1.34726i | −1.77828 | + | 0.186831i | ||||
\(53\) | − | 4.63647i | − | 0.636869i | −0.947945 | − | 0.318434i | \(-0.896843\pi\) | ||
0.947945 | − | 0.318434i | \(-0.103157\pi\) | |||||||
\(54\) | 0.946315 | − | 1.05095i | 0.128777 | − | 0.143016i | ||||
\(55\) | − | 19.8909i | − | 2.68209i | ||||||
\(56\) | −6.44692 | − | 4.68457i | −0.861506 | − | 0.626002i | ||||
\(57\) | − | 1.70948i | − | 0.226427i | ||||||
\(58\) | 2.96934 | − | 3.29764i | 0.389893 | − | 0.433002i | ||||
\(59\) | − | 10.2820i | − | 1.33860i | −0.742991 | − | 0.669301i | \(-0.766594\pi\) | ||
0.742991 | − | 0.669301i | \(-0.233406\pi\) | |||||||
\(60\) | −8.80993 | + | 0.925594i | −1.13736 | + | 0.119494i | ||||
\(61\) | − | 9.66191i | − | 1.23708i | −0.785753 | − | 0.618540i | \(-0.787724\pi\) | ||
0.785753 | − | 0.618540i | \(-0.212276\pi\) | |||||||
\(62\) | −7.99897 | + | 8.88339i | −1.01587 | + | 1.12819i | ||||
\(63\) | −2.81753 | −0.354976 | ||||||||
\(64\) | 2.47120 | + | 7.60876i | 0.308900 | + | 0.951095i | ||||
\(65\) | 28.5550 | 3.54181 | ||||||||
\(66\) | −4.24976 | + | 4.71965i | −0.523110 | + | 0.580948i | ||||
\(67\) | 6.48382 | − | 4.99600i | 0.792125 | − | 0.610359i | ||||
\(68\) | −0.278565 | − | 2.65142i | −0.0337810 | − | 0.321531i | ||||
\(69\) | − | 3.41301i | − | 0.410878i | ||||||
\(70\) | 13.1152 | + | 11.8095i | 1.56757 | + | 1.41150i | ||||
\(71\) | − | 0.479394i | − | 0.0568935i | −0.999595 | − | 0.0284468i | \(-0.990944\pi\) | ||
0.999595 | − | 0.0284468i | \(-0.00905611\pi\) | |||||||
\(72\) | 2.28814 | + | 1.66265i | 0.269660 | + | 0.195945i | ||||
\(73\) | 3.68198 | 0.430943 | 0.215471 | − | 0.976510i | \(-0.430871\pi\) | ||||
0.215471 | + | 0.976510i | \(0.430871\pi\) | |||||||
\(74\) | −5.45009 | + | 6.05269i | −0.633560 | + | 0.703611i | ||||
\(75\) | 14.6179 | 1.68793 | ||||||||
\(76\) | 3.40026 | − | 0.357240i | 0.390036 | − | 0.0409782i | ||||
\(77\) | 12.6531 | 1.44196 | ||||||||
\(78\) | −6.77542 | − | 6.10087i | −0.767166 | − | 0.690787i | ||||
\(79\) | −9.91224 | −1.11521 | −0.557607 | − | 0.830105i | \(-0.688280\pi\) | ||||
−0.557607 | + | 0.830105i | \(0.688280\pi\) | |||||||
\(80\) | −3.68211 | − | 17.3300i | −0.411673 | − | 1.93755i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 5.41286 | + | 4.87397i | 0.597751 | + | 0.538240i | ||||
\(83\) | − | 8.53248i | − | 0.936561i | −0.883580 | − | 0.468281i | \(-0.844874\pi\) | ||
0.883580 | − | 0.468281i | \(-0.155126\pi\) | |||||||
\(84\) | −0.588795 | − | 5.60422i | −0.0642428 | − | 0.611471i | ||||
\(85\) | 5.90416i | 0.640396i | ||||||||
\(86\) | −1.00779 | + | 1.11921i | −0.108672 | + | 0.120688i | ||||
\(87\) | 3.13779 | 0.336406 | ||||||||
\(88\) | −10.2757 | − | 7.46671i | −1.09540 | − | 0.795954i | ||||
\(89\) | −11.6876 | −1.23888 | −0.619441 | − | 0.785043i | \(-0.712641\pi\) | ||||
−0.619441 | + | 0.785043i | \(0.712641\pi\) | |||||||
\(90\) | −4.65486 | − | 4.19143i | −0.490665 | − | 0.441815i | ||||
\(91\) | 18.1646i | 1.90416i | ||||||||
\(92\) | 6.78865 | − | 0.713234i | 0.707765 | − | 0.0743597i | ||||
\(93\) | −8.45275 | −0.876510 | ||||||||
\(94\) | −4.75969 | − | 4.28582i | −0.490925 | − | 0.442049i | ||||
\(95\) | −7.57166 | −0.776836 | ||||||||
\(96\) | −2.82893 | + | 4.89869i | −0.288727 | + | 0.499970i | ||||
\(97\) | 13.2311i | 1.34342i | 0.740814 | + | 0.671710i | \(0.234440\pi\) | ||||
−0.740814 | + | 0.671710i | \(0.765560\pi\) | |||||||
\(98\) | −0.888118 | + | 0.986314i | −0.0897135 | + | 0.0996328i | ||||
\(99\) | −4.49085 | −0.451348 | ||||||||
\(100\) | 3.05477 | + | 29.0757i | 0.305477 | + | 2.90757i | ||||
\(101\) | − | 4.40366i | − | 0.438180i | −0.975705 | − | 0.219090i | \(-0.929691\pi\) | ||
0.975705 | − | 0.219090i | \(-0.0703089\pi\) | |||||||
\(102\) | 1.26144 | − | 1.40092i | 0.124901 | − | 0.138711i | ||||
\(103\) | 8.63164i | 0.850501i | 0.905076 | + | 0.425250i | \(0.139814\pi\) | ||||
−0.905076 | + | 0.425250i | \(0.860186\pi\) | |||||||
\(104\) | 10.7191 | − | 14.7516i | 1.05109 | − | 1.44651i | ||||
\(105\) | 12.4794i | 1.21787i | ||||||||
\(106\) | 4.87268 | + | 4.38757i | 0.473277 | + | 0.426158i | ||||
\(107\) | − | 4.97798i | − | 0.481239i | −0.970620 | − | 0.240620i | \(-0.922649\pi\) | ||
0.970620 | − | 0.240620i | \(-0.0773506\pi\) | |||||||
\(108\) | 0.208975 | + | 1.98905i | 0.0201086 | + | 0.191397i | ||||
\(109\) | − | 6.06886i | − | 0.581291i | −0.956831 | − | 0.290646i | \(-0.906130\pi\) | ||
0.956831 | − | 0.290646i | \(-0.0938701\pi\) | |||||||
\(110\) | 20.9043 | + | 18.8231i | 1.99315 | + | 1.79471i | ||||
\(111\) | −5.75928 | −0.546647 | ||||||||
\(112\) | 11.0241 | − | 2.34229i | 1.04167 | − | 0.221325i | ||||
\(113\) | 11.7654i | 1.10679i | 0.832917 | + | 0.553397i | \(0.186669\pi\) | ||||
−0.832917 | + | 0.553397i | \(0.813331\pi\) | |||||||
\(114\) | 1.79658 | + | 1.61771i | 0.168265 | + | 0.151513i | ||||
\(115\) | −15.1169 | −1.40966 | ||||||||
\(116\) | 0.655720 | + | 6.24122i | 0.0608820 | + | 0.579483i | ||||
\(117\) | − | 6.44697i | − | 0.596023i | ||||||
\(118\) | 10.8058 | + | 9.73001i | 0.994757 | + | 0.895720i | ||||
\(119\) | −3.75579 | −0.344292 | ||||||||
\(120\) | 7.36422 | − | 10.1347i | 0.672258 | − | 0.925164i | ||||
\(121\) | 9.16777 | 0.833434 | ||||||||
\(122\) | 10.1541 | + | 9.14321i | 0.919313 | + | 0.827787i | ||||
\(123\) | 5.15047i | 0.464402i | ||||||||
\(124\) | −1.76642 | − | 16.8130i | −0.158629 | − | 1.50985i | ||||
\(125\) | − | 42.5996i | − | 3.81022i | ||||||
\(126\) | 2.66628 | − | 2.96108i | 0.237531 | − | 0.263794i | ||||
\(127\) | − | 6.70864i | − | 0.595296i | −0.954676 | − | 0.297648i | \(-0.903798\pi\) | ||
0.954676 | − | 0.297648i | \(-0.0962021\pi\) | |||||||
\(128\) | −10.3349 | − | 4.60319i | −0.913487 | − | 0.406868i | ||||
\(129\) | −1.06496 | −0.0937643 | ||||||||
\(130\) | −27.0220 | + | 30.0098i | −2.36999 | + | 2.63203i | ||||
\(131\) | 2.95058i | 0.257794i | 0.991658 | + | 0.128897i | \(0.0411436\pi\) | ||||
−0.991658 | + | 0.128897i | \(0.958856\pi\) | |||||||
\(132\) | −0.938477 | − | 8.93254i | −0.0816839 | − | 0.777478i | ||||
\(133\) | − | 4.81653i | − | 0.417646i | ||||||
\(134\) | −0.885215 | + | 11.5419i | −0.0764709 | + | 0.997072i | ||||
\(135\) | − | 4.42921i | − | 0.381206i | ||||||
\(136\) | 3.05011 | + | 2.21632i | 0.261544 | + | 0.190048i | ||||
\(137\) | 6.89136i | 0.588769i | 0.955687 | + | 0.294384i | \(0.0951146\pi\) | ||||
−0.955687 | + | 0.294384i | \(0.904885\pi\) | |||||||
\(138\) | 3.58689 | + | 3.22978i | 0.305336 | + | 0.274937i | ||||
\(139\) | −3.31586 | −0.281247 | −0.140624 | − | 0.990063i | \(-0.544911\pi\) | ||||
−0.140624 | + | 0.990063i | \(0.544911\pi\) | |||||||
\(140\) | −24.8223 | + | 2.60789i | −2.09786 | + | 0.220407i | ||||
\(141\) | − | 4.52896i | − | 0.381407i | ||||||
\(142\) | 0.503817 | + | 0.453657i | 0.0422794 | + | 0.0380701i | ||||
\(143\) | 28.9524i | 2.42112i | ||||||||
\(144\) | −3.91266 | + | 0.831325i | −0.326055 | + | 0.0692771i | ||||
\(145\) | − | 13.8979i | − | 1.15416i | ||||||
\(146\) | −3.48431 | + | 3.86956i | −0.288364 | + | 0.320247i | ||||
\(147\) | −0.938501 | −0.0774063 | ||||||||
\(148\) | −1.20355 | − | 11.4555i | −0.0989309 | − | 0.941637i | ||||
\(149\) | −19.2320 | −1.57555 | −0.787773 | − | 0.615966i | \(-0.788766\pi\) | ||||
−0.787773 | + | 0.615966i | \(0.788766\pi\) | |||||||
\(150\) | −13.8331 | + | 15.3626i | −1.12947 | + | 1.25435i | ||||
\(151\) | − | 11.1412i | − | 0.906658i | −0.891343 | − | 0.453329i | \(-0.850236\pi\) | ||
0.891343 | − | 0.453329i | \(-0.149764\pi\) | |||||||
\(152\) | −2.84227 | + | 3.91155i | −0.230539 | + | 0.317268i | ||||
\(153\) | 1.33300 | 0.107767 | ||||||||
\(154\) | −11.9739 | + | 13.2978i | −0.964881 | + | 1.07156i | ||||
\(155\) | 37.4390i | 3.00717i | ||||||||
\(156\) | 12.8234 | − | 1.34726i | 1.02669 | − | 0.107867i | ||||
\(157\) | −10.8432 | −0.865384 | −0.432692 | − | 0.901542i | \(-0.642436\pi\) | ||||
−0.432692 | + | 0.901542i | \(0.642436\pi\) | |||||||
\(158\) | 9.38010 | − | 10.4172i | 0.746241 | − | 0.828750i | ||||
\(159\) | 4.63647i | 0.367696i | ||||||||
\(160\) | 21.6973 | + | 12.5299i | 1.71532 | + | 0.990577i | ||||
\(161\) | − | 9.61626i | − | 0.757868i | ||||||
\(162\) | −0.946315 | + | 1.05095i | −0.0743495 | + | 0.0825701i | ||||
\(163\) | − | 17.2780i | − | 1.35331i | −0.736299 | − | 0.676657i | \(-0.763428\pi\) | ||
0.736299 | − | 0.676657i | \(-0.236572\pi\) | |||||||
\(164\) | −10.2446 | + | 1.07632i | −0.799965 | + | 0.0840465i | ||||
\(165\) | 19.8909i | 1.54851i | ||||||||
\(166\) | 8.96718 | + | 8.07442i | 0.695988 | + | 0.626696i | ||||
\(167\) | − | 12.4165i | − | 0.960814i | −0.877046 | − | 0.480407i | \(-0.840489\pi\) | ||
0.877046 | − | 0.480407i | \(-0.159511\pi\) | |||||||
\(168\) | 6.44692 | + | 4.68457i | 0.497391 | + | 0.361422i | ||||
\(169\) | −28.5635 | −2.19719 | ||||||||
\(170\) | −6.20495 | − | 5.58719i | −0.475898 | − | 0.428518i | ||||
\(171\) | 1.70948i | 0.130728i | ||||||||
\(172\) | −0.222550 | − | 2.11826i | −0.0169692 | − | 0.161515i | ||||
\(173\) | 18.7820 | 1.42797 | 0.713986 | − | 0.700160i | \(-0.246888\pi\) | ||||
0.713986 | + | 0.700160i | \(0.246888\pi\) | |||||||
\(174\) | −2.96934 | + | 3.29764i | −0.225105 | + | 0.249994i | ||||
\(175\) | 41.1864 | 3.11340 | ||||||||
\(176\) | 17.5712 | − | 3.73336i | 1.32448 | − | 0.281413i | ||||
\(177\) | 10.2820i | 0.772843i | ||||||||
\(178\) | 11.0601 | − | 12.2830i | 0.828993 | − | 0.920652i | ||||
\(179\) | −0.502646 | −0.0375695 | −0.0187848 | − | 0.999824i | \(-0.505980\pi\) | ||||
−0.0187848 | + | 0.999824i | \(0.505980\pi\) | |||||||
\(180\) | 8.80993 | − | 0.925594i | 0.656653 | − | 0.0689897i | ||||
\(181\) | −15.4255 | −1.14657 | −0.573285 | − | 0.819356i | \(-0.694331\pi\) | ||||
−0.573285 | + | 0.819356i | \(0.694331\pi\) | |||||||
\(182\) | −19.0900 | − | 17.1894i | −1.41504 | − | 1.27416i | ||||
\(183\) | 9.66191i | 0.714229i | ||||||||
\(184\) | −5.67463 | + | 7.80945i | −0.418339 | + | 0.575720i | ||||
\(185\) | 25.5090i | 1.87546i | ||||||||
\(186\) | 7.99897 | − | 8.88339i | 0.586513 | − | 0.651362i | ||||
\(187\) | −5.98633 | −0.437764 | ||||||||
\(188\) | 9.00834 | − | 0.946440i | 0.657001 | − | 0.0690262i | ||||
\(189\) | 2.81753 | 0.204945 | ||||||||
\(190\) | 7.16518 | − | 7.95741i | 0.519817 | − | 0.577291i | ||||
\(191\) | −6.61535 | −0.478670 | −0.239335 | − | 0.970937i | \(-0.576929\pi\) | ||||
−0.239335 | + | 0.970937i | \(0.576929\pi\) | |||||||
\(192\) | −2.47120 | − | 7.60876i | −0.178343 | − | 0.549115i | ||||
\(193\) | −7.57636 | −0.545358 | −0.272679 | − | 0.962105i | \(-0.587910\pi\) | ||||
−0.272679 | + | 0.962105i | \(0.587910\pi\) | |||||||
\(194\) | −13.9052 | − | 12.5208i | −0.998337 | − | 0.898944i | ||||
\(195\) | −28.5550 | −2.04487 | ||||||||
\(196\) | −0.196123 | − | 1.86673i | −0.0140088 | − | 0.133338i | ||||
\(197\) | − | 7.80716i | − | 0.556237i | −0.960547 | − | 0.278119i | \(-0.910289\pi\) | ||
0.960547 | − | 0.278119i | \(-0.0897108\pi\) | |||||||
\(198\) | 4.24976 | − | 4.71965i | 0.302018 | − | 0.335411i | ||||
\(199\) | − | 6.41107i | − | 0.454469i | −0.973840 | − | 0.227234i | \(-0.927032\pi\) | ||
0.973840 | − | 0.227234i | \(-0.0729684\pi\) | |||||||
\(200\) | −33.4478 | − | 24.3044i | −2.36512 | − | 1.71858i | ||||
\(201\) | −6.48382 | + | 4.99600i | −0.457334 | + | 0.352391i | ||||
\(202\) | 4.62801 | + | 4.16725i | 0.325626 | + | 0.293207i | ||||
\(203\) | 8.84082 | 0.620504 | ||||||||
\(204\) | 0.278565 | + | 2.65142i | 0.0195034 | + | 0.185636i | ||||
\(205\) | 22.8125 | 1.59329 | ||||||||
\(206\) | −9.07139 | − | 8.16825i | −0.632033 | − | 0.569109i | ||||
\(207\) | 3.41301i | 0.237220i | ||||||||
\(208\) | 5.35953 | + | 25.2248i | 0.371617 | + | 1.74903i | ||||
\(209\) | − | 7.67705i | − | 0.531033i | ||||||
\(210\) | −13.1152 | − | 11.8095i | −0.905036 | − | 0.814932i | ||||
\(211\) | 9.57658i | 0.659279i | 0.944107 | + | 0.329639i | \(0.106927\pi\) | ||||
−0.944107 | + | 0.329639i | \(0.893073\pi\) | |||||||
\(212\) | −9.22219 | + | 0.968908i | −0.633383 | + | 0.0665449i | ||||
\(213\) | 0.479394i | 0.0328475i | ||||||||
\(214\) | 5.23158 | + | 4.71073i | 0.357624 | + | 0.322019i | ||||
\(215\) | 4.71692i | 0.321691i | ||||||||
\(216\) | −2.28814 | − | 1.66265i | −0.155688 | − | 0.113129i | ||||
\(217\) | −23.8159 | −1.61673 | ||||||||
\(218\) | 6.37804 | + | 5.74305i | 0.431976 | + | 0.388969i | ||||
\(219\) | −3.68198 | −0.248805 | ||||||||
\(220\) | −39.5641 | + | 4.15671i | −2.66741 | + | 0.280245i | ||||
\(221\) | − | 8.59385i | − | 0.578085i | ||||||
\(222\) | 5.45009 | − | 6.05269i | 0.365786 | − | 0.406230i | ||||
\(223\) | − | 20.5887i | − | 1.37872i | −0.724418 | − | 0.689361i | \(-0.757892\pi\) | ||
0.724418 | − | 0.689361i | \(-0.242108\pi\) | |||||||
\(224\) | −7.97061 | + | 13.8022i | −0.532559 | + | 0.922200i | ||||
\(225\) | −14.6179 | −0.974525 | ||||||||
\(226\) | −12.3648 | − | 11.1338i | −0.822493 | − | 0.740607i | ||||
\(227\) | 8.99211i | 0.596827i | 0.954437 | + | 0.298414i | \(0.0964575\pi\) | ||||
−0.954437 | + | 0.298414i | \(0.903542\pi\) | |||||||
\(228\) | −3.40026 | + | 0.357240i | −0.225187 | + | 0.0236588i | ||||
\(229\) | 2.72243i | 0.179903i | 0.995946 | + | 0.0899515i | \(0.0286712\pi\) | ||||
−0.995946 | + | 0.0899515i | \(0.971329\pi\) | |||||||
\(230\) | 14.3054 | − | 15.8871i | 0.943268 | − | 1.04756i | ||||
\(231\) | −12.6531 | −0.832515 | ||||||||
\(232\) | −7.17971 | − | 5.21704i | −0.471371 | − | 0.342515i | ||||
\(233\) | 18.8884i | 1.23742i | 0.785620 | + | 0.618709i | \(0.212344\pi\) | ||||
−0.785620 | + | 0.618709i | \(0.787656\pi\) | |||||||
\(234\) | 6.77542 | + | 6.10087i | 0.442923 | + | 0.398826i | ||||
\(235\) | −20.0597 | −1.30855 | ||||||||
\(236\) | −20.4514 | + | 2.14868i | −1.33128 | + | 0.139867i | ||||
\(237\) | 9.91224 | 0.643869 | ||||||||
\(238\) | 3.55416 | − | 3.94713i | 0.230382 | − | 0.255854i | ||||
\(239\) | −26.7279 | −1.72888 | −0.864441 | − | 0.502734i | \(-0.832328\pi\) | ||||
−0.864441 | + | 0.502734i | \(0.832328\pi\) | |||||||
\(240\) | 3.68211 | + | 17.3300i | 0.237679 | + | 1.11865i | ||||
\(241\) | 12.0626 | 0.777023 | 0.388511 | − | 0.921444i | \(-0.372989\pi\) | ||||
0.388511 | + | 0.921444i | \(0.372989\pi\) | |||||||
\(242\) | −8.67560 | + | 9.63483i | −0.557689 | + | 0.619351i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −19.2180 | + | 2.01910i | −1.23031 | + | 0.129260i | ||||
\(245\) | 4.15682i | 0.265569i | ||||||||
\(246\) | −5.41286 | − | 4.87397i | −0.345112 | − | 0.310753i | ||||
\(247\) | 11.0210 | 0.701250 | ||||||||
\(248\) | 19.3411 | + | 14.0540i | 1.22816 | + | 0.892427i | ||||
\(249\) | 8.53248i | 0.540724i | ||||||||
\(250\) | 44.7699 | + | 40.3126i | 2.83150 | + | 2.54960i | ||||
\(251\) | −25.4913 | −1.60900 | −0.804499 | − | 0.593955i | \(-0.797566\pi\) | ||||
−0.804499 | + | 0.593955i | \(0.797566\pi\) | |||||||
\(252\) | 0.588795 | + | 5.60422i | 0.0370906 | + | 0.353033i | ||||
\(253\) | − | 15.3273i | − | 0.963620i | ||||||
\(254\) | 7.05042 | + | 6.34849i | 0.442383 | + | 0.398340i | ||||
\(255\) | − | 5.90416i | − | 0.369733i | ||||||
\(256\) | 14.6178 | − | 6.50538i | 0.913612 | − | 0.406586i | ||||
\(257\) | 12.9570 | 0.808235 | 0.404118 | − | 0.914707i | \(-0.367579\pi\) | ||||
0.404118 | + | 0.914707i | \(0.367579\pi\) | |||||||
\(258\) | 1.00779 | − | 1.11921i | 0.0627420 | − | 0.0696791i | ||||
\(259\) | −16.2270 | −1.00829 | ||||||||
\(260\) | −5.96728 | − | 56.7974i | −0.370075 | − | 3.52242i | ||||
\(261\) | −3.13779 | −0.194224 | ||||||||
\(262\) | −3.10090 | − | 2.79218i | −0.191574 | − | 0.172502i | ||||
\(263\) | − | 1.56509i | − | 0.0965074i | −0.998835 | − | 0.0482537i | \(-0.984634\pi\) | ||
0.998835 | − | 0.0482537i | \(-0.0153656\pi\) | |||||||
\(264\) | 10.2757 | + | 7.46671i | 0.632427 | + | 0.459544i | ||||
\(265\) | 20.5359 | 1.26151 | ||||||||
\(266\) | 5.06192 | + | 4.55796i | 0.310366 | + | 0.279466i | ||||
\(267\) | 11.6876 | 0.715269 | ||||||||
\(268\) | −11.2923 | − | 11.8526i | −0.689785 | − | 0.724014i | ||||
\(269\) | 6.01649 | 0.366832 | 0.183416 | − | 0.983035i | \(-0.441285\pi\) | ||||
0.183416 | + | 0.983035i | \(0.441285\pi\) | |||||||
\(270\) | 4.65486 | + | 4.19143i | 0.283286 | + | 0.255082i | ||||
\(271\) | −25.6297 | −1.55689 | −0.778446 | − | 0.627712i | \(-0.783992\pi\) | ||||
−0.778446 | + | 0.627712i | \(0.783992\pi\) | |||||||
\(272\) | −5.21559 | + | 1.10816i | −0.316242 | + | 0.0671921i | ||||
\(273\) | − | 18.1646i | − | 1.09937i | ||||||
\(274\) | −7.24245 | − | 6.52140i | −0.437532 | − | 0.393972i | ||||
\(275\) | 65.6468 | 3.95865 | ||||||||
\(276\) | −6.78865 | + | 0.713234i | −0.408629 | + | 0.0429316i | ||||
\(277\) | 5.21072 | 0.313082 | 0.156541 | − | 0.987671i | \(-0.449966\pi\) | ||||
0.156541 | + | 0.987671i | \(0.449966\pi\) | |||||||
\(278\) | 3.13784 | − | 3.48479i | 0.188195 | − | 0.209004i | ||||
\(279\) | 8.45275 | 0.506053 | ||||||||
\(280\) | 20.7489 | − | 28.5548i | 1.23999 | − | 1.70647i | ||||
\(281\) | 24.6197i | 1.46869i | 0.678778 | + | 0.734344i | \(0.262510\pi\) | ||||
−0.678778 | + | 0.734344i | \(0.737490\pi\) | |||||||
\(282\) | 4.75969 | + | 4.28582i | 0.283436 | + | 0.255217i | ||||
\(283\) | − | 8.75201i | − | 0.520253i | −0.965575 | − | 0.260126i | \(-0.916236\pi\) | ||
0.965575 | − | 0.260126i | \(-0.0837642\pi\) | |||||||
\(284\) | −0.953539 | + | 0.100181i | −0.0565821 | + | 0.00594467i | ||||
\(285\) | 7.57166 | 0.448507 | ||||||||
\(286\) | −30.4274 | − | 27.3981i | −1.79921 | − | 1.62008i | ||||
\(287\) | 14.5116i | 0.856594i | ||||||||
\(288\) | 2.82893 | − | 4.89869i | 0.166696 | − | 0.288658i | ||||
\(289\) | −15.2231 | −0.895476 | ||||||||
\(290\) | 14.6060 | + | 13.1518i | 0.857691 | + | 0.772300i | ||||
\(291\) | − | 13.2311i | − | 0.775624i | ||||||
\(292\) | −0.769442 | − | 7.32364i | −0.0450282 | − | 0.428584i | ||||
\(293\) | −12.2547 | −0.715929 | −0.357965 | − | 0.933735i | \(-0.616529\pi\) | ||||
−0.357965 | + | 0.933735i | \(0.616529\pi\) | |||||||
\(294\) | 0.888118 | − | 0.986314i | 0.0517961 | − | 0.0575230i | ||||
\(295\) | 45.5411 | 2.65151 | ||||||||
\(296\) | 13.1781 | + | 9.57566i | 0.765959 | + | 0.556574i | ||||
\(297\) | 4.49085 | 0.260586 | ||||||||
\(298\) | 18.1995 | − | 20.2118i | 1.05427 | − | 1.17084i | ||||
\(299\) | 22.0036 | 1.27250 | ||||||||
\(300\) | −3.05477 | − | 29.0757i | −0.176367 | − | 1.67869i | ||||
\(301\) | −3.00055 | −0.172949 | ||||||||
\(302\) | 11.7088 | + | 10.5431i | 0.673766 | + | 0.606686i | ||||
\(303\) | 4.40366i | 0.252984i | ||||||||
\(304\) | −1.42114 | − | 6.68863i | −0.0815078 | − | 0.383619i | ||||
\(305\) | 42.7946 | 2.45041 | ||||||||
\(306\) | −1.26144 | + | 1.40092i | −0.0721119 | + | 0.0800850i | ||||
\(307\) | 20.6834i | 1.18046i | 0.807234 | + | 0.590232i | \(0.200964\pi\) | ||||
−0.807234 | + | 0.590232i | \(0.799036\pi\) | |||||||
\(308\) | −2.64419 | − | 25.1678i | −0.150667 | − | 1.43407i | ||||
\(309\) | − | 8.63164i | − | 0.491037i | ||||||
\(310\) | −39.3464 | − | 35.4291i | −2.23472 | − | 2.01224i | ||||
\(311\) | −6.74222 | −0.382316 | −0.191158 | − | 0.981559i | \(-0.561224\pi\) | ||||
−0.191158 | + | 0.981559i | \(0.561224\pi\) | |||||||
\(312\) | −10.7191 | + | 14.7516i | −0.606847 | + | 0.835145i | ||||
\(313\) | 6.93434i | 0.391952i | 0.980609 | + | 0.195976i | \(0.0627875\pi\) | ||||
−0.980609 | + | 0.195976i | \(0.937213\pi\) | |||||||
\(314\) | 10.2611 | − | 11.3957i | 0.579068 | − | 0.643094i | ||||
\(315\) | − | 12.4794i | − | 0.703137i | ||||||
\(316\) | 2.07141 | + | 19.7160i | 0.116526 | + | 1.10911i | ||||
\(317\) | −17.2122 | −0.966732 | −0.483366 | − | 0.875418i | \(-0.660586\pi\) | ||||
−0.483366 | + | 0.875418i | \(0.660586\pi\) | |||||||
\(318\) | −4.87268 | − | 4.38757i | −0.273247 | − | 0.246042i | ||||
\(319\) | 14.0913 | 0.788964 | ||||||||
\(320\) | −33.7008 | + | 10.9454i | −1.88393 | + | 0.611869i | ||||
\(321\) | 4.97798i | 0.277843i | ||||||||
\(322\) | 10.1062 | + | 9.10002i | 0.563195 | + | 0.507124i | ||||
\(323\) | 2.27875i | 0.126793i | ||||||||
\(324\) | −0.208975 | − | 1.98905i | −0.0116097 | − | 0.110503i | ||||
\(325\) | 94.2411i | 5.22756i | ||||||||
\(326\) | 18.1582 | + | 16.3504i | 1.00569 | + | 0.905564i | ||||
\(327\) | 6.06886i | 0.335609i | ||||||||
\(328\) | 8.56342 | − | 11.7850i | 0.472836 | − | 0.650718i | ||||
\(329\) | − | 12.7605i | − | 0.703509i | ||||||
\(330\) | −20.9043 | − | 18.8231i | −1.15074 | − | 1.03618i | ||||
\(331\) | 11.8004 | 0.648611 | 0.324306 | − | 0.945952i | \(-0.394869\pi\) | ||||
0.324306 | + | 0.945952i | \(0.394869\pi\) | |||||||
\(332\) | −16.9716 | + | 1.78308i | −0.931435 | + | 0.0978590i | ||||
\(333\) | 5.75928 | 0.315607 | ||||||||
\(334\) | 13.0490 | + | 11.7499i | 0.714011 | + | 0.642925i | ||||
\(335\) | 22.1283 | + | 28.7182i | 1.20900 | + | 1.56904i | ||||
\(336\) | −11.0241 | + | 2.34229i | −0.601411 | + | 0.127782i | ||||
\(337\) | − | 26.7813i | − | 1.45887i | −0.684051 | − | 0.729434i | \(-0.739784\pi\) | ||
0.684051 | − | 0.729434i | \(-0.260216\pi\) | |||||||
\(338\) | 27.0301 | − | 30.0187i | 1.47024 | − | 1.63280i | ||||
\(339\) | − | 11.7654i | − | 0.639008i | ||||||
\(340\) | 11.7437 | − | 1.23382i | 0.636890 | − | 0.0669134i | ||||
\(341\) | −37.9601 | −2.05565 | ||||||||
\(342\) | −1.79658 | − | 1.61771i | −0.0971477 | − | 0.0874758i | ||||
\(343\) | 17.0785 | 0.922151 | ||||||||
\(344\) | 2.43677 | + | 1.77065i | 0.131382 | + | 0.0954670i | ||||
\(345\) | 15.1169 | 0.813867 | ||||||||
\(346\) | −17.7737 | + | 19.7389i | −0.955522 | + | 1.06117i | ||||
\(347\) | 11.4891 | 0.616766 | 0.308383 | − | 0.951262i | \(-0.400212\pi\) | ||||
0.308383 | + | 0.951262i | \(0.400212\pi\) | |||||||
\(348\) | −0.655720 | − | 6.24122i | −0.0351503 | − | 0.334565i | ||||
\(349\) | −16.4608 | −0.881127 | −0.440563 | − | 0.897722i | \(-0.645221\pi\) | ||||
−0.440563 | + | 0.897722i | \(0.645221\pi\) | |||||||
\(350\) | −38.9753 | + | 43.2847i | −2.08332 | + | 2.31366i | ||||
\(351\) | 6.44697i | 0.344114i | ||||||||
\(352\) | −12.7043 | + | 21.9993i | −0.677142 | + | 1.17257i | ||||
\(353\) | − | 3.89747i | − | 0.207441i | −0.994606 | − | 0.103721i | \(-0.966925\pi\) | ||
0.994606 | − | 0.103721i | \(-0.0330748\pi\) | |||||||
\(354\) | −10.8058 | − | 9.73001i | −0.574323 | − | 0.517144i | ||||
\(355\) | 2.12333 | 0.112695 | ||||||||
\(356\) | 2.44242 | + | 23.2472i | 0.129448 | + | 1.23210i | ||||
\(357\) | 3.75579 | 0.198777 | ||||||||
\(358\) | 0.475661 | − | 0.528253i | 0.0251395 | − | 0.0279191i | ||||
\(359\) | − | 29.8392i | − | 1.57485i | −0.616408 | − | 0.787427i | \(-0.711413\pi\) | ||
0.616408 | − | 0.787427i | \(-0.288587\pi\) | |||||||
\(360\) | −7.36422 | + | 10.1347i | −0.388128 | + | 0.534144i | ||||
\(361\) | 16.0777 | 0.846193 | ||||||||
\(362\) | 14.5974 | − | 16.2114i | 0.767223 | − | 0.852052i | ||||
\(363\) | −9.16777 | −0.481183 | ||||||||
\(364\) | 36.1303 | − | 3.79594i | 1.89374 | − | 0.198962i | ||||
\(365\) | 16.3082i | 0.853612i | ||||||||
\(366\) | −10.1541 | − | 9.14321i | −0.530766 | − | 0.477923i | ||||
\(367\) | −37.1530 | −1.93937 | −0.969686 | − | 0.244355i | \(-0.921424\pi\) | ||||
−0.969686 | + | 0.244355i | \(0.921424\pi\) | |||||||
\(368\) | −2.83732 | − | 13.3539i | −0.147905 | − | 0.696122i | ||||
\(369\) | − | 5.15047i | − | 0.268123i | ||||||
\(370\) | −26.8086 | − | 24.1396i | −1.39371 | − | 1.25496i | ||||
\(371\) | 13.0634i | 0.678219i | ||||||||
\(372\) | 1.76642 | + | 16.8130i | 0.0915844 | + | 0.871712i | ||||
\(373\) | − | 31.6985i | − | 1.64129i | −0.571441 | − | 0.820643i | \(-0.693616\pi\) | ||
0.571441 | − | 0.820643i | \(-0.306384\pi\) | |||||||
\(374\) | 5.66496 | − | 6.29131i | 0.292928 | − | 0.325316i | ||||
\(375\) | 42.5996i | 2.19983i | ||||||||
\(376\) | −7.53007 | + | 10.3629i | −0.388334 | + | 0.534426i | ||||
\(377\) | 20.2292i | 1.04186i | ||||||||
\(378\) | −2.66628 | + | 2.96108i | −0.137138 | + | 0.152301i | ||||
\(379\) | 31.8816 | 1.63765 | 0.818823 | − | 0.574046i | \(-0.194627\pi\) | ||||
0.818823 | + | 0.574046i | \(0.194627\pi\) | |||||||
\(380\) | 1.58229 | + | 15.0604i | 0.0811698 | + | 0.772584i | ||||
\(381\) | 6.70864i | 0.343694i | ||||||||
\(382\) | 6.26021 | − | 6.95238i | 0.320300 | − | 0.355715i | ||||
\(383\) | 29.9214 | 1.52891 | 0.764457 | − | 0.644675i | \(-0.223007\pi\) | ||||
0.764457 | + | 0.644675i | \(0.223007\pi\) | |||||||
\(384\) | 10.3349 | + | 4.60319i | 0.527402 | + | 0.234905i | ||||
\(385\) | 56.0434i | 2.85623i | ||||||||
\(386\) | 7.16962 | − | 7.96234i | 0.364924 | − | 0.405273i | ||||
\(387\) | 1.06496 | 0.0541348 | ||||||||
\(388\) | 26.3174 | − | 2.76498i | 1.33607 | − | 0.140371i | ||||
\(389\) | 28.6071 | 1.45044 | 0.725220 | − | 0.688518i | \(-0.241738\pi\) | ||||
0.725220 | + | 0.688518i | \(0.241738\pi\) | |||||||
\(390\) | 27.0220 | − | 30.0098i | 1.36831 | − | 1.51960i | ||||
\(391\) | 4.54955i | 0.230081i | ||||||||
\(392\) | 2.14743 | + | 1.56040i | 0.108461 | + | 0.0788120i | ||||
\(393\) | − | 2.95058i | − | 0.148837i | ||||||
\(394\) | 8.20490 | + | 7.38803i | 0.413357 | + | 0.372204i | ||||
\(395\) | − | 43.9034i | − | 2.20902i | ||||||
\(396\) | 0.938477 | + | 8.93254i | 0.0471602 | + | 0.448877i | ||||
\(397\) | −26.0821 | −1.30902 | −0.654511 | − | 0.756053i | \(-0.727125\pi\) | ||||
−0.654511 | + | 0.756053i | \(0.727125\pi\) | |||||||
\(398\) | 6.73769 | + | 6.06690i | 0.337730 | + | 0.304106i | ||||
\(399\) | 4.81653i | 0.241128i | ||||||||
\(400\) | 57.1948 | − | 12.1522i | 2.85974 | − | 0.607611i | ||||
\(401\) | 1.63624i | 0.0817100i | 0.999165 | + | 0.0408550i | \(0.0130082\pi\) | ||||
−0.999165 | + | 0.0408550i | \(0.986992\pi\) | |||||||
\(402\) | 0.885215 | − | 11.5419i | 0.0441505 | − | 0.575660i | ||||
\(403\) | − | 54.4947i | − | 2.71457i | ||||||
\(404\) | −8.75911 | + | 0.920255i | −0.435782 | + | 0.0457844i | ||||
\(405\) | 4.42921i | 0.220089i | ||||||||
\(406\) | −8.36620 | + | 9.29123i | −0.415208 | + | 0.461116i | ||||
\(407\) | −25.8641 | −1.28203 | ||||||||
\(408\) | −3.05011 | − | 2.21632i | −0.151003 | − | 0.109724i | ||||
\(409\) | 1.01269i | 0.0500744i | 0.999687 | + | 0.0250372i | \(0.00797042\pi\) | ||||
−0.999687 | + | 0.0250372i | \(0.992030\pi\) | |||||||
\(410\) | −21.5878 | + | 23.9747i | −1.06615 | + | 1.18403i | ||||
\(411\) | − | 6.89136i | − | 0.339926i | ||||||
\(412\) | 17.1688 | − | 1.80380i | 0.845845 | − | 0.0888668i | ||||
\(413\) | 28.9699i | 1.42552i | ||||||||
\(414\) | −3.58689 | − | 3.22978i | −0.176286 | − | 0.158735i | ||||
\(415\) | 37.7921 | 1.85514 | ||||||||
\(416\) | −31.5817 | − | 18.2380i | −1.54842 | − | 0.894194i | ||||
\(417\) | 3.31586 | 0.162378 | ||||||||
\(418\) | 8.06816 | + | 7.26491i | 0.394627 | + | 0.355338i | ||||
\(419\) | 9.62094i | 0.470013i | 0.971994 | + | 0.235007i | \(0.0755112\pi\) | ||||
−0.971994 | + | 0.235007i | \(0.924489\pi\) | |||||||
\(420\) | 24.8223 | − | 2.60789i | 1.21120 | − | 0.127252i | ||||
\(421\) | 10.2672 | 0.500393 | 0.250196 | − | 0.968195i | \(-0.419505\pi\) | ||||
0.250196 | + | 0.968195i | \(0.419505\pi\) | |||||||
\(422\) | −10.0645 | − | 9.06246i | −0.489930 | − | 0.441154i | ||||
\(423\) | 4.52896i | 0.220206i | ||||||||
\(424\) | 7.70883 | − | 10.6089i | 0.374374 | − | 0.515215i | ||||
\(425\) | −19.4857 | −0.945196 | ||||||||
\(426\) | −0.503817 | − | 0.453657i | −0.0244100 | − | 0.0219798i | ||||
\(427\) | 27.2228i | 1.31740i | ||||||||
\(428\) | −9.90145 | + | 1.04027i | −0.478605 | + | 0.0502835i | ||||
\(429\) | − | 28.9524i | − | 1.39784i | ||||||
\(430\) | −4.95723 | − | 4.46369i | −0.239059 | − | 0.215258i | ||||
\(431\) | − | 6.49042i | − | 0.312632i | −0.987707 | − | 0.156316i | \(-0.950038\pi\) | ||
0.987707 | − | 0.156316i | \(-0.0499619\pi\) | |||||||
\(432\) | 3.91266 | − | 0.831325i | 0.188248 | − | 0.0399971i | ||||
\(433\) | − | 24.5663i | − | 1.18058i | −0.807192 | − | 0.590289i | \(-0.799014\pi\) | ||
0.807192 | − | 0.590289i | \(-0.200986\pi\) | |||||||
\(434\) | 22.5374 | − | 25.0293i | 1.08183 | − | 1.20144i | ||||
\(435\) | 13.8979i | 0.666354i | ||||||||
\(436\) | −12.0713 | + | 1.26824i | −0.578109 | + | 0.0607377i | ||||
\(437\) | −5.83448 | −0.279101 | ||||||||
\(438\) | 3.48431 | − | 3.86956i | 0.166487 | − | 0.184895i | ||||
\(439\) | 10.4351i | 0.498042i | 0.968498 | + | 0.249021i | \(0.0801089\pi\) | ||||
−0.968498 | + | 0.249021i | \(0.919891\pi\) | |||||||
\(440\) | 33.0716 | − | 45.5133i | 1.57663 | − | 2.16976i | ||||
\(441\) | 0.938501 | 0.0446905 | ||||||||
\(442\) | 9.03167 | + | 8.13249i | 0.429593 | + | 0.386823i | ||||
\(443\) | −2.65628 | −0.126204 | −0.0631018 | − | 0.998007i | \(-0.520099\pi\) | ||||
−0.0631018 | + | 0.998007i | \(0.520099\pi\) | |||||||
\(444\) | 1.20355 | + | 11.4555i | 0.0571178 | + | 0.543654i | ||||
\(445\) | − | 51.7668i | − | 2.45398i | ||||||
\(446\) | 21.6376 | + | 19.4834i | 1.02457 | + | 0.922566i | ||||
\(447\) | 19.2320 | 0.909642 | ||||||||
\(448\) | −6.96269 | − | 21.4379i | −0.328956 | − | 1.01285i | ||||
\(449\) | −10.1088 | −0.477063 | −0.238531 | − | 0.971135i | \(-0.576666\pi\) | ||||
−0.238531 | + | 0.971135i | \(0.576666\pi\) | |||||||
\(450\) | 13.8331 | − | 15.3626i | 0.652100 | − | 0.724200i | ||||
\(451\) | 23.1300i | 1.08915i | ||||||||
\(452\) | 23.4020 | − | 2.45867i | 1.10074 | − | 0.115646i | ||||
\(453\) | 11.1412i | 0.523459i | ||||||||
\(454\) | −9.45022 | − | 8.50937i | −0.443521 | − | 0.399365i | ||||
\(455\) | −80.4547 | −3.77177 | ||||||||
\(456\) | 2.84227 | − | 3.91155i | 0.133102 | − | 0.183175i | ||||
\(457\) | 9.51702 | 0.445187 | 0.222594 | − | 0.974911i | \(-0.428548\pi\) | ||||
0.222594 | + | 0.974911i | \(0.428548\pi\) | |||||||
\(458\) | −2.86112 | − | 2.57627i | −0.133691 | − | 0.120381i | ||||
\(459\) | −1.33300 | −0.0622193 | ||||||||
\(460\) | 3.15906 | + | 30.0683i | 0.147292 | + | 1.40194i | ||||
\(461\) | −38.4051 | −1.78870 | −0.894351 | − | 0.447366i | \(-0.852362\pi\) | ||||
−0.894351 | + | 0.447366i | \(0.852362\pi\) | |||||||
\(462\) | 11.9739 | − | 13.2978i | 0.557074 | − | 0.618668i | ||||
\(463\) | 15.1386 | 0.703549 | 0.351774 | − | 0.936085i | \(-0.385578\pi\) | ||||
0.351774 | + | 0.936085i | \(0.385578\pi\) | |||||||
\(464\) | 12.2771 | − | 2.60852i | 0.569950 | − | 0.121098i | ||||
\(465\) | − | 37.4390i | − | 1.73619i | ||||||
\(466\) | −19.8506 | − | 17.8743i | −0.919563 | − | 0.828013i | ||||
\(467\) | 30.8798i | 1.42895i | 0.699662 | + | 0.714474i | \(0.253334\pi\) | ||||
−0.699662 | + | 0.714474i | \(0.746666\pi\) | |||||||
\(468\) | −12.8234 | + | 1.34726i | −0.592760 | + | 0.0622770i | ||||
\(469\) | −18.2684 | + | 14.0764i | −0.843556 | + | 0.649988i | ||||
\(470\) | 18.9828 | − | 21.0817i | 0.875611 | − | 0.972425i | ||||
\(471\) | 10.8432 | 0.499630 | ||||||||
\(472\) | 17.0954 | − | 23.5267i | 0.786878 | − | 1.08290i | ||||
\(473\) | −4.78257 | −0.219903 | ||||||||
\(474\) | −9.38010 | + | 10.4172i | −0.430842 | + | 0.478479i | ||||
\(475\) | − | 24.9890i | − | 1.14658i | ||||||
\(476\) | 0.784866 | + | 7.47046i | 0.0359743 | + | 0.342408i | ||||
\(477\) | − | 4.63647i | − | 0.212290i | ||||||
\(478\) | 25.2930 | − | 28.0896i | 1.15687 | − | 1.28479i | ||||
\(479\) | − | 25.5835i | − | 1.16894i | −0.811416 | − | 0.584469i | \(-0.801303\pi\) | ||
0.811416 | − | 0.584469i | \(-0.198697\pi\) | |||||||
\(480\) | −21.6973 | − | 12.5299i | −0.990342 | − | 0.571910i | ||||
\(481\) | − | 37.1299i | − | 1.69298i | ||||||
\(482\) | −11.4151 | + | 12.6772i | −0.519942 | + | 0.577430i | ||||
\(483\) | 9.61626i | 0.437555i | ||||||||
\(484\) | −1.91584 | − | 18.2352i | −0.0870835 | − | 0.828872i | ||||
\(485\) | −58.6035 | −2.66105 | ||||||||
\(486\) | 0.946315 | − | 1.05095i | 0.0429257 | − | 0.0476719i | ||||
\(487\) | 21.7976 | 0.987745 | 0.493872 | − | 0.869534i | \(-0.335581\pi\) | ||||
0.493872 | + | 0.869534i | \(0.335581\pi\) | |||||||
\(488\) | 16.0644 | − | 22.1078i | 0.727199 | − | 1.00077i | ||||
\(489\) | 17.2780i | 0.781336i | ||||||||
\(490\) | −4.36859 | − | 3.93366i | −0.197353 | − | 0.177705i | ||||
\(491\) | − | 29.7112i | − | 1.34085i | −0.741978 | − | 0.670424i | \(-0.766112\pi\) | ||
0.741978 | − | 0.670424i | \(-0.233888\pi\) | |||||||
\(492\) | 10.2446 | − | 1.07632i | 0.461860 | − | 0.0485243i | ||||
\(493\) | −4.18268 | −0.188379 | ||||||||
\(494\) | −10.4293 | + | 11.5825i | −0.469238 | + | 0.521121i | ||||
\(495\) | − | 19.8909i | − | 0.894031i | ||||||
\(496\) | −33.0727 | + | 7.02699i | −1.48501 | + | 0.315521i | ||||
\(497\) | 1.35071i | 0.0605875i | ||||||||
\(498\) | −8.96718 | − | 8.07442i | −0.401829 | − | 0.361823i | ||||
\(499\) | −13.0259 | −0.583120 | −0.291560 | − | 0.956552i | \(-0.594174\pi\) | ||||
−0.291560 | + | 0.956552i | \(0.594174\pi\) | |||||||
\(500\) | −84.7328 | + | 8.90226i | −3.78937 | + | 0.398121i | ||||
\(501\) | 12.4165i | 0.554726i | ||||||||
\(502\) | 24.1228 | − | 26.7900i | 1.07665 | − | 1.19570i | ||||
\(503\) | 14.1739 | 0.631985 | 0.315992 | − | 0.948762i | \(-0.397663\pi\) | ||||
0.315992 | + | 0.948762i | \(0.397663\pi\) | |||||||
\(504\) | −6.44692 | − | 4.68457i | −0.287169 | − | 0.208667i | ||||
\(505\) | 19.5047 | 0.867949 | ||||||||
\(506\) | 16.1082 | + | 14.5045i | 0.716096 | + | 0.644802i | ||||
\(507\) | 28.5635 | 1.26855 | ||||||||
\(508\) | −13.3438 | + | 1.40194i | −0.592037 | + | 0.0622010i | ||||
\(509\) | 0.469183 | 0.0207962 | 0.0103981 | − | 0.999946i | \(-0.496690\pi\) | ||||
0.0103981 | + | 0.999946i | \(0.496690\pi\) | |||||||
\(510\) | 6.20495 | + | 5.58719i | 0.274760 | + | 0.247405i | ||||
\(511\) | −10.3741 | −0.458923 | ||||||||
\(512\) | −6.99624 | + | 21.5187i | −0.309193 | + | 0.950999i | ||||
\(513\) | − | 1.70948i | − | 0.0754756i | ||||||
\(514\) | −12.2614 | + | 13.6171i | −0.540827 | + | 0.600625i | ||||
\(515\) | −38.2313 | −1.68467 | ||||||||
\(516\) | 0.222550 | + | 2.11826i | 0.00979720 | + | 0.0932510i | ||||
\(517\) | − | 20.3389i | − | 0.894504i | ||||||
\(518\) | 15.3558 | − | 17.0537i | 0.674696 | − | 0.749295i | ||||
\(519\) | −18.7820 | −0.824440 | ||||||||
\(520\) | 65.3379 | + | 47.4769i | 2.86526 | + | 2.08200i | ||||
\(521\) | − | 26.8304i | − | 1.17546i | −0.809056 | − | 0.587731i | \(-0.800021\pi\) | ||
0.809056 | − | 0.587731i | \(-0.199979\pi\) | |||||||
\(522\) | 2.96934 | − | 3.29764i | 0.129964 | − | 0.144334i | ||||
\(523\) | 6.00603i | 0.262625i | 0.991341 | + | 0.131313i | \(0.0419192\pi\) | ||||
−0.991341 | + | 0.131313i | \(0.958081\pi\) | |||||||
\(524\) | 5.86886 | − | 0.616599i | 0.256383 | − | 0.0269362i | ||||
\(525\) | −41.1864 | −1.79752 | ||||||||
\(526\) | 1.64482 | + | 1.48107i | 0.0717177 | + | 0.0645775i | ||||
\(527\) | 11.2676 | 0.490823 | ||||||||
\(528\) | −17.5712 | + | 3.73336i | −0.764687 | + | 0.162474i | ||||
\(529\) | 11.3514 | 0.493539 | ||||||||
\(530\) | −19.4334 | + | 21.5821i | −0.844135 | + | 0.937468i | ||||
\(531\) | − | 10.2820i | − | 0.446201i | ||||||
\(532\) | −9.58034 | + | 1.00654i | −0.415360 | + | 0.0436389i | ||||
\(533\) | −33.2049 | −1.43827 | ||||||||
\(534\) | −11.0601 | + | 12.2830i | −0.478619 | + | 0.531539i | ||||
\(535\) | 22.0485 | 0.953239 | ||||||||
\(536\) | 23.1425 | − | 0.651240i | 0.999604 | − | 0.0281293i | ||||
\(537\) | 0.502646 | 0.0216908 | ||||||||
\(538\) | −5.69349 | + | 6.32300i | −0.245464 | + | 0.272604i | ||||
\(539\) | −4.21467 | −0.181539 | ||||||||
\(540\) | −8.80993 | + | 0.925594i | −0.379119 | + | 0.0398312i | ||||
\(541\) | − | 19.1448i | − | 0.823101i | −0.911387 | − | 0.411550i | \(-0.864987\pi\) | ||
0.911387 | − | 0.411550i | \(-0.135013\pi\) | |||||||
\(542\) | 24.2537 | − | 26.9354i | 1.04179 | − | 1.15697i | ||||
\(543\) | 15.4255 | 0.661973 | ||||||||
\(544\) | 3.77098 | − | 6.52998i | 0.161679 | − | 0.279970i | ||||
\(545\) | 26.8802 | 1.15142 | ||||||||
\(546\) | 19.0900 | + | 17.1894i | 0.816976 | + | 0.735639i | ||||
\(547\) | −35.4826 | −1.51713 | −0.758563 | − | 0.651599i | \(-0.774098\pi\) | ||||
−0.758563 | + | 0.651599i | \(0.774098\pi\) | |||||||
\(548\) | 13.7073 | − | 1.44012i | 0.585546 | − | 0.0615190i | ||||
\(549\) | − | 9.66191i | − | 0.412360i | ||||||
\(550\) | −62.1225 | + | 68.9912i | −2.64891 | + | 2.94180i | ||||
\(551\) | − | 5.36400i | − | 0.228514i | ||||||
\(552\) | 5.67463 | − | 7.80945i | 0.241528 | − | 0.332392i | ||||
\(553\) | 27.9281 | 1.18762 | ||||||||
\(554\) | −4.93098 | + | 5.47618i | −0.209497 | + | 0.232661i | ||||
\(555\) | − | 25.5090i | − | 1.08280i | ||||||
\(556\) | 0.692931 | + | 6.59541i | 0.0293868 | + | 0.279708i | ||||
\(557\) | 18.7124 | 0.792870 | 0.396435 | − | 0.918063i | \(-0.370247\pi\) | ||||
0.396435 | + | 0.918063i | \(0.370247\pi\) | |||||||
\(558\) | −7.99897 | + | 8.88339i | −0.338623 | + | 0.376064i | ||||
\(559\) | − | 6.86575i | − | 0.290390i | ||||||
\(560\) | 10.3745 | + | 48.8278i | 0.438402 | + | 2.06335i | ||||
\(561\) | 5.98633 | 0.252743 | ||||||||
\(562\) | −25.8740 | − | 23.2980i | −1.09143 | − | 0.982766i | ||||
\(563\) | −22.6150 | −0.953108 | −0.476554 | − | 0.879145i | \(-0.658114\pi\) | ||||
−0.476554 | + | 0.879145i | \(0.658114\pi\) | |||||||
\(564\) | −9.00834 | + | 0.946440i | −0.379320 | + | 0.0398523i | ||||
\(565\) | −52.1113 | −2.19234 | ||||||||
\(566\) | 9.19789 | + | 8.28216i | 0.386616 | + | 0.348125i | ||||
\(567\) | −2.81753 | −0.118325 | ||||||||
\(568\) | 0.797063 | − | 1.09692i | 0.0334440 | − | 0.0460258i | ||||
\(569\) | 18.0974 | 0.758681 | 0.379341 | − | 0.925257i | \(-0.376151\pi\) | ||||
0.379341 | + | 0.925257i | \(0.376151\pi\) | |||||||
\(570\) | −7.16518 | + | 7.95741i | −0.300116 | + | 0.333299i | ||||
\(571\) | 12.8629i | 0.538294i | 0.963099 | + | 0.269147i | \(0.0867417\pi\) | ||||
−0.963099 | + | 0.269147i | \(0.913258\pi\) | |||||||
\(572\) | 57.5879 | − | 6.05034i | 2.40787 | − | 0.252977i | ||||
\(573\) | 6.61535 | 0.276360 | ||||||||
\(574\) | −15.2509 | − | 13.7326i | −0.636562 | − | 0.573186i | ||||
\(575\) | − | 49.8909i | − | 2.08060i | ||||||
\(576\) | 2.47120 | + | 7.60876i | 0.102967 | + | 0.317032i | ||||
\(577\) | 22.5707i | 0.939630i | 0.882765 | + | 0.469815i | \(0.155679\pi\) | ||||
−0.882765 | + | 0.469815i | \(0.844321\pi\) | |||||||
\(578\) | 14.4058 | − | 15.9987i | 0.599204 | − | 0.665456i | ||||
\(579\) | 7.57636 | 0.314863 | ||||||||
\(580\) | −27.6437 | + | 2.90432i | −1.14784 | + | 0.120595i | ||||
\(581\) | 24.0406i | 0.997370i | ||||||||
\(582\) | 13.9052 | + | 12.5208i | 0.576390 | + | 0.519005i | ||||
\(583\) | 20.8217i | 0.862348i | ||||||||
\(584\) | 8.42489 | + | 6.12183i | 0.348624 | + | 0.253323i | ||||
\(585\) | 28.5550 | 1.18060 | ||||||||
\(586\) | 11.5968 | − | 12.8791i | 0.479061 | − | 0.532029i | ||||
\(587\) | −44.5937 | −1.84058 | −0.920290 | − | 0.391238i | \(-0.872047\pi\) | ||||
−0.920290 | + | 0.391238i | \(0.872047\pi\) | |||||||
\(588\) | 0.196123 | + | 1.86673i | 0.00808800 | + | 0.0769826i | ||||
\(589\) | 14.4499i | 0.595396i | ||||||||
\(590\) | −43.0963 | + | 47.8613i | −1.77424 | + | 1.97042i | ||||
\(591\) | 7.80716i | 0.321144i | ||||||||
\(592\) | −22.5341 | + | 4.78783i | −0.926145 | + | 0.196779i | ||||
\(593\) | 9.87000i | 0.405312i | 0.979250 | + | 0.202656i | \(0.0649573\pi\) | ||||
−0.979250 | + | 0.202656i | \(0.935043\pi\) | |||||||
\(594\) | −4.24976 | + | 4.71965i | −0.174370 | + | 0.193649i | ||||
\(595\) | − | 16.6352i | − | 0.681975i | ||||||
\(596\) | 4.01901 | + | 38.2534i | 0.164625 | + | 1.56692i | ||||
\(597\) | 6.41107i | 0.262388i | ||||||||
\(598\) | −20.8223 | + | 23.1246i | −0.851487 | + | 0.945634i | ||||
\(599\) | 4.78024 | 0.195315 | 0.0976576 | − | 0.995220i | \(-0.468865\pi\) | ||||
0.0976576 | + | 0.995220i | \(0.468865\pi\) | |||||||
\(600\) | 33.4478 | + | 24.3044i | 1.36550 | + | 0.992223i | ||||
\(601\) | −7.77550 | −0.317169 | −0.158585 | − | 0.987345i | \(-0.550693\pi\) | ||||
−0.158585 | + | 0.987345i | \(0.550693\pi\) | |||||||
\(602\) | 2.83947 | − | 3.15342i | 0.115728 | − | 0.128524i | ||||
\(603\) | 6.48382 | − | 4.99600i | 0.264042 | − | 0.203453i | ||||
\(604\) | −22.1604 | + | 2.32823i | −0.901695 | + | 0.0947345i | ||||
\(605\) | 40.6060i | 1.65087i | ||||||||
\(606\) | −4.62801 | − | 4.16725i | −0.188000 | − | 0.169283i | ||||
\(607\) | 39.5661i | 1.60594i | 0.596020 | + | 0.802969i | \(0.296748\pi\) | ||||
−0.596020 | + | 0.802969i | \(0.703252\pi\) | |||||||
\(608\) | 8.37423 | + | 4.83601i | 0.339620 | + | 0.196126i | ||||
\(609\) | −8.84082 | −0.358248 | ||||||||
\(610\) | −40.4972 | + | 44.9748i | −1.63968 | + | 1.82098i | ||||
\(611\) | 29.1981 | 1.18123 | ||||||||
\(612\) | −0.278565 | − | 2.65142i | −0.0112603 | − | 0.107177i | ||||
\(613\) | −5.66134 | −0.228659 | −0.114330 | − | 0.993443i | \(-0.536472\pi\) | ||||
−0.114330 | + | 0.993443i | \(0.536472\pi\) | |||||||
\(614\) | −21.7371 | − | 19.5730i | −0.877240 | − | 0.789903i | ||||
\(615\) | −22.8125 | −0.919889 | ||||||||
\(616\) | 28.9522 | + | 21.0377i | 1.16652 | + | 0.847634i | ||||
\(617\) | −6.40871 | −0.258005 | −0.129003 | − | 0.991644i | \(-0.541178\pi\) | ||||
−0.129003 | + | 0.991644i | \(0.541178\pi\) | |||||||
\(618\) | 9.07139 | + | 8.16825i | 0.364905 | + | 0.328575i | ||||
\(619\) | 35.6982i | 1.43483i | 0.696645 | + | 0.717416i | \(0.254675\pi\) | ||||
−0.696645 | + | 0.717416i | \(0.745325\pi\) | |||||||
\(620\) | 74.4681 | − | 7.82382i | 2.99071 | − | 0.314212i | ||||
\(621\) | − | 3.41301i | − | 0.136959i | ||||||
\(622\) | 6.38027 | − | 7.08571i | 0.255825 | − | 0.284111i | ||||
\(623\) | 32.9302 | 1.31932 | ||||||||
\(624\) | −5.35953 | − | 25.2248i | −0.214553 | − | 1.00980i | ||||
\(625\) | 115.593 | 4.62372 | ||||||||
\(626\) | −7.28762 | − | 6.56207i | −0.291272 | − | 0.262273i | ||||
\(627\) | 7.67705i | 0.306592i | ||||||||
\(628\) | 2.26597 | + | 21.5678i | 0.0904219 | + | 0.860647i | ||||
\(629\) | 7.67715 | 0.306108 | ||||||||
\(630\) | 13.1152 | + | 11.8095i | 0.522523 | + | 0.470501i | ||||
\(631\) | 3.22001 | 0.128187 | 0.0640934 | − | 0.997944i | \(-0.479584\pi\) | ||||
0.0640934 | + | 0.997944i | \(0.479584\pi\) | |||||||
\(632\) | −22.6806 | − | 16.4806i | −0.902187 | − | 0.655562i | ||||
\(633\) | − | 9.57658i | − | 0.380635i | ||||||
\(634\) | 16.2881 | − | 18.0891i | 0.646885 | − | 0.718409i | ||||
\(635\) | 29.7140 | 1.17916 | ||||||||
\(636\) | 9.22219 | − | 0.968908i | 0.365684 | − | 0.0384197i | ||||
\(637\) | − | 6.05049i | − | 0.239729i | ||||||
\(638\) | −13.3349 | + | 14.8092i | −0.527932 | + | 0.586303i | ||||
\(639\) | − | 0.479394i | − | 0.0189645i | ||||||
\(640\) | 20.3885 | − | 45.7755i | 0.805925 | − | 1.80944i | ||||
\(641\) | 19.1452i | 0.756189i | 0.925767 | + | 0.378095i | \(0.123421\pi\) | ||||
−0.925767 | + | 0.378095i | \(0.876579\pi\) | |||||||
\(642\) | −5.23158 | − | 4.71073i | −0.206474 | − | 0.185918i | ||||
\(643\) | 15.3290i | 0.604516i | 0.953226 | + | 0.302258i | \(0.0977405\pi\) | ||||
−0.953226 | + | 0.302258i | \(0.902260\pi\) | |||||||
\(644\) | −19.1273 | + | 2.00956i | −0.753719 | + | 0.0791878i | ||||
\(645\) | − | 4.71692i | − | 0.185728i | ||||||
\(646\) | −2.39485 | − | 2.15642i | −0.0942239 | − | 0.0848431i | ||||
\(647\) | 5.79937 | 0.227997 | 0.113998 | − | 0.993481i | \(-0.463634\pi\) | ||||
0.113998 | + | 0.993481i | \(0.463634\pi\) | |||||||
\(648\) | 2.28814 | + | 1.66265i | 0.0898868 | + | 0.0653150i | ||||
\(649\) | 46.1750i | 1.81253i | ||||||||
\(650\) | −99.0423 | − | 89.1818i | −3.88476 | − | 3.49800i | ||||
\(651\) | 23.8159 | 0.933420 | ||||||||
\(652\) | −34.3667 | + | 3.61066i | −1.34591 | + | 0.141404i | ||||
\(653\) | 26.4803i | 1.03626i | 0.855303 | + | 0.518128i | \(0.173371\pi\) | ||||
−0.855303 | + | 0.518128i | \(0.826629\pi\) | |||||||
\(654\) | −6.37804 | − | 5.74305i | −0.249401 | − | 0.224571i | ||||
\(655\) | −13.0687 | −0.510638 | ||||||||
\(656\) | 4.28171 | + | 20.1520i | 0.167173 | + | 0.786804i | ||||
\(657\) | 3.68198 | 0.143648 | ||||||||
\(658\) | 13.4106 | + | 12.0755i | 0.522800 | + | 0.470750i | ||||
\(659\) | − | 21.1839i | − | 0.825206i | −0.910911 | − | 0.412603i | \(-0.864620\pi\) | ||
0.910911 | − | 0.412603i | \(-0.135380\pi\) | |||||||
\(660\) | 39.5641 | − | 4.15671i | 1.54003 | − | 0.161800i | ||||
\(661\) | − | 22.0683i | − | 0.858356i | −0.903220 | − | 0.429178i | \(-0.858803\pi\) | ||
0.903220 | − | 0.429178i | \(-0.141197\pi\) | |||||||
\(662\) | −11.1669 | + | 12.4016i | −0.434016 | + | 0.482003i | ||||
\(663\) | 8.59385i | 0.333757i | ||||||||
\(664\) | 14.1865 | − | 19.5235i | 0.550544 | − | 0.757660i | ||||
\(665\) | 21.3334 | 0.827275 | ||||||||
\(666\) | −5.45009 | + | 6.05269i | −0.211187 | + | 0.234537i | ||||
\(667\) | − | 10.7093i | − | 0.414665i | ||||||
\(668\) | −24.6970 | + | 2.59473i | −0.955555 | + | 0.100393i | ||||
\(669\) | 20.5887i | 0.796005i | ||||||||
\(670\) | −51.1217 | − | 3.92080i | −1.97500 | − | 0.151474i | ||||
\(671\) | 43.3902i | 1.67506i | ||||||||
\(672\) | 7.97061 | − | 13.8022i | 0.307473 | − | 0.532432i | ||||
\(673\) | − | 32.4767i | − | 1.25188i | −0.779870 | − | 0.625942i | \(-0.784715\pi\) | ||
0.779870 | − | 0.625942i | \(-0.215285\pi\) | |||||||
\(674\) | 28.1457 | + | 25.3435i | 1.08413 | + | 0.976195i | ||||
\(675\) | 14.6179 | 0.562643 | ||||||||
\(676\) | 5.96906 | + | 56.8143i | 0.229579 | + | 2.18516i | ||||
\(677\) | − | 28.8665i | − | 1.10943i | −0.832040 | − | 0.554715i | \(-0.812827\pi\) | ||
0.832040 | − | 0.554715i | \(-0.187173\pi\) | |||||||
\(678\) | 12.3648 | + | 11.1338i | 0.474867 | + | 0.427590i | ||||
\(679\) | − | 37.2792i | − | 1.43065i | ||||||
\(680\) | −9.81654 | + | 13.5096i | −0.376447 | + | 0.518068i | ||||
\(681\) | − | 8.99211i | − | 0.344578i | ||||||
\(682\) | 35.9222 | − | 39.8940i | 1.37553 | − | 1.52762i | ||||
\(683\) | −17.2983 | −0.661901 | −0.330951 | − | 0.943648i | \(-0.607369\pi\) | ||||
−0.330951 | + | 0.943648i | \(0.607369\pi\) | |||||||
\(684\) | 3.40026 | − | 0.357240i | 0.130012 | − | 0.0136594i | ||||
\(685\) | −30.5233 | −1.16623 | ||||||||
\(686\) | −16.1616 | + | 17.9486i | −0.617054 | + | 0.685279i | ||||
\(687\) | − | 2.72243i | − | 0.103867i | ||||||
\(688\) | −4.16681 | + | 0.885326i | −0.158858 | + | 0.0337527i | ||||
\(689\) | −29.8912 | −1.13877 | ||||||||
\(690\) | −14.3054 | + | 15.8871i | −0.544596 | + | 0.604810i | ||||
\(691\) | − | 28.2517i | − | 1.07475i | −0.843345 | − | 0.537373i | \(-0.819417\pi\) | ||
0.843345 | − | 0.537373i | \(-0.180583\pi\) | |||||||
\(692\) | −3.92498 | − | 37.3585i | −0.149205 | − | 1.42016i | ||||
\(693\) | 12.6531 | 0.480653 | ||||||||
\(694\) | −10.8723 | + | 12.0744i | −0.412707 | + | 0.458338i | ||||
\(695\) | − | 14.6866i | − | 0.557095i | ||||||
\(696\) | 7.17971 | + | 5.21704i | 0.272146 | + | 0.197751i | ||||
\(697\) | − | 6.86560i | − | 0.260053i | ||||||
\(698\) | 15.5771 | − | 17.2994i | 0.589602 | − | 0.654793i | ||||
\(699\) | − | 18.8884i | − | 0.714423i | ||||||
\(700\) | −8.60693 | − | 81.9219i | −0.325311 | − | 3.09636i | ||||
\(701\) | 19.9558i | 0.753719i | 0.926270 | + | 0.376860i | \(0.122996\pi\) | ||||
−0.926270 | + | 0.376860i | \(0.877004\pi\) | |||||||
\(702\) | −6.77542 | − | 6.10087i | −0.255722 | − | 0.230262i | ||||
\(703\) | 9.84540i | 0.371326i | ||||||||
\(704\) | −11.0978 | − | 34.1698i | −0.418264 | − | 1.28782i | ||||
\(705\) | 20.0597 | 0.755492 | ||||||||
\(706\) | 4.09603 | + | 3.68823i | 0.154156 | + | 0.138808i | ||||
\(707\) | 12.4075i | 0.466631i | ||||||||
\(708\) | 20.4514 | − | 2.14868i | 0.768612 | − | 0.0807525i | ||||
\(709\) | 2.92170 | 0.109727 | 0.0548633 | − | 0.998494i | \(-0.482528\pi\) | ||||
0.0548633 | + | 0.998494i | \(0.482528\pi\) | |||||||
\(710\) | −2.00934 | + | 2.23151i | −0.0754093 | + | 0.0837470i | ||||
\(711\) | −9.91224 | −0.371738 | ||||||||
\(712\) | −26.7429 | − | 19.4324i | −1.00223 | − | 0.728259i | ||||
\(713\) | 28.8493i | 1.08041i | ||||||||
\(714\) | −3.55416 | + | 3.94713i | −0.133011 | + | 0.147718i | ||||
\(715\) | −128.236 | −4.79577 | ||||||||
\(716\) | 0.105040 | + | 0.999789i | 0.00392555 | + | 0.0373639i | ||||
\(717\) | 26.7279 | 0.998171 | ||||||||
\(718\) | 31.3594 | + | 28.2373i | 1.17032 | + | 1.05381i | ||||
\(719\) | 16.4667i | 0.614103i | 0.951693 | + | 0.307051i | \(0.0993424\pi\) | ||||
−0.951693 | + | 0.307051i | \(0.900658\pi\) | |||||||
\(720\) | −3.68211 | − | 17.3300i | −0.137224 | − | 0.645850i | ||||
\(721\) | − | 24.3199i | − | 0.905722i | ||||||
\(722\) | −15.2145 | + | 16.8968i | −0.566226 | + | 0.628832i | ||||
\(723\) | −12.0626 | −0.448614 | ||||||||
\(724\) | 3.22355 | + | 30.6822i | 0.119802 | + | 1.14029i | ||||
\(725\) | 45.8678 | 1.70349 | ||||||||
\(726\) | 8.67560 | − | 9.63483i | 0.321982 | − | 0.357582i | ||||
\(727\) | 0.181194 | 0.00672011 | 0.00336006 | − | 0.999994i | \(-0.498930\pi\) | ||||
0.00336006 | + | 0.999994i | \(0.498930\pi\) | |||||||
\(728\) | −30.2013 | + | 41.5631i | −1.11933 | + | 1.54043i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −17.1391 | − | 15.4327i | −0.634346 | − | 0.571191i | ||||
\(731\) | 1.41959 | 0.0525056 | ||||||||
\(732\) | 19.2180 | − | 2.01910i | 0.710319 | − | 0.0746280i | ||||
\(733\) | − | 18.0519i | − | 0.666764i | −0.942792 | − | 0.333382i | \(-0.891810\pi\) | ||
0.942792 | − | 0.333382i | \(-0.108190\pi\) | |||||||
\(734\) | 35.1585 | − | 39.0458i | 1.29772 | − | 1.44121i | ||||
\(735\) | − | 4.15682i | − | 0.153327i | ||||||
\(736\) | 16.7193 | + | 9.65516i | 0.616280 | + | 0.355894i | ||||
\(737\) | −29.1179 | + | 22.4363i | −1.07257 | + | 0.826452i | ||||
\(738\) | 5.41286 | + | 4.87397i | 0.199250 | + | 0.179413i | ||||
\(739\) | −9.27764 | −0.341284 | −0.170642 | − | 0.985333i | \(-0.554584\pi\) | ||||
−0.170642 | + | 0.985333i | \(0.554584\pi\) | |||||||
\(740\) | 50.7388 | − | 5.33076i | 1.86520 | − | 0.195962i | ||||
\(741\) | −11.0210 | −0.404867 | ||||||||
\(742\) | −13.7290 | − | 12.3621i | −0.504006 | − | 0.453828i | ||||
\(743\) | − | 1.38908i | − | 0.0509605i | −0.999675 | − | 0.0254802i | \(-0.991889\pi\) | ||
0.999675 | − | 0.0254802i | \(-0.00811149\pi\) | |||||||
\(744\) | −19.3411 | − | 14.0540i | −0.709079 | − | 0.515243i | ||||
\(745\) | − | 85.1825i | − | 3.12084i | ||||||
\(746\) | 33.3134 | + | 29.9968i | 1.21969 | + | 1.09826i | ||||
\(747\) | − | 8.53248i | − | 0.312187i | ||||||
\(748\) | 1.25099 | + | 11.9071i | 0.0457409 | + | 0.435368i | ||||
\(749\) | 14.0256i | 0.512485i | ||||||||
\(750\) | −44.7699 | − | 40.3126i | −1.63476 | − | 1.47201i | ||||
\(751\) | 23.9459i | 0.873799i | 0.899510 | + | 0.436900i | \(0.143924\pi\) | ||||
−0.899510 | + | 0.436900i | \(0.856076\pi\) | |||||||
\(752\) | −3.76504 | − | 17.7203i | −0.137297 | − | 0.646192i | ||||
\(753\) | 25.4913 | 0.928955 | ||||||||
\(754\) | −21.2598 | − | 19.1432i | −0.774237 | − | 0.697155i | ||||
\(755\) | 49.3467 | 1.79591 | ||||||||
\(756\) | −0.588795 | − | 5.60422i | −0.0214143 | − | 0.203824i | ||||
\(757\) | 11.8148i | 0.429418i | 0.976678 | + | 0.214709i | \(0.0688803\pi\) | ||||
−0.976678 | + | 0.214709i | \(0.931120\pi\) | |||||||
\(758\) | −30.1700 | + | 33.5058i | −1.09582 | + | 1.21699i | ||||
\(759\) | 15.3273i | 0.556346i | ||||||||
\(760\) | −17.3251 | − | 12.5890i | −0.628446 | − | 0.456652i | ||||
\(761\) | 22.1353 | 0.802405 | 0.401202 | − | 0.915989i | \(-0.368592\pi\) | ||||
0.401202 | + | 0.915989i | \(0.368592\pi\) | |||||||
\(762\) | −7.05042 | − | 6.34849i | −0.255410 | − | 0.229982i | ||||
\(763\) | 17.0992i | 0.619033i | ||||||||
\(764\) | 1.38244 | + | 13.1583i | 0.0500151 | + | 0.476050i | ||||
\(765\) | 5.90416i | 0.213465i | ||||||||
\(766\) | −28.3151 | + | 31.4458i | −1.02307 | + | 1.13618i | ||||
\(767\) | −66.2878 | −2.39351 | ||||||||
\(768\) | −14.6178 | + | 6.50538i | −0.527474 | + | 0.234743i | ||||
\(769\) | 27.5107i | 0.992062i | 0.868305 | + | 0.496031i | \(0.165210\pi\) | ||||
−0.868305 | + | 0.496031i | \(0.834790\pi\) | |||||||
\(770\) | −58.8986 | − | 53.0347i | −2.12256 | − | 1.91124i | ||||
\(771\) | −12.9570 | −0.466635 | ||||||||
\(772\) | 1.58327 | + | 15.0698i | 0.0569832 | + | 0.542373i | ||||
\(773\) | −12.8342 | −0.461613 | −0.230806 | − | 0.973000i | \(-0.574136\pi\) | ||||
−0.230806 | + | 0.973000i | \(0.574136\pi\) | |||||||
\(774\) | −1.00779 | + | 1.11921i | −0.0362241 | + | 0.0402293i | ||||
\(775\) | −123.561 | −4.43845 | ||||||||
\(776\) | −21.9988 | + | 30.2748i | −0.789709 | + | 1.08680i | ||||
\(777\) | 16.2270 | 0.582139 | ||||||||
\(778\) | −27.0714 | + | 30.0646i | −0.970556 | + | 1.07787i | ||||
\(779\) | 8.80465 | 0.315459 | ||||||||
\(780\) | 5.96728 | + | 56.7974i | 0.213663 | + | 2.03367i | ||||
\(781\) | 2.15289i | 0.0770363i | ||||||||
\(782\) | −4.78134 | − | 4.30531i | −0.170980 | − | 0.153958i | ||||
\(783\) | 3.13779 | 0.112135 | ||||||||
\(784\) | −3.67204 | + | 0.780200i | −0.131144 | + | 0.0278643i | ||||
\(785\) | − | 48.0269i | − | 1.71415i | ||||||
\(786\) | 3.10090 | + | 2.79218i | 0.110606 | + | 0.0995938i | ||||
\(787\) | 14.0936 | 0.502383 | 0.251191 | − | 0.967937i | \(-0.419178\pi\) | ||||
0.251191 | + | 0.967937i | \(0.419178\pi\) | |||||||
\(788\) | −15.5289 | + | 1.63150i | −0.553192 | + | 0.0581199i | ||||
\(789\) | 1.56509i | 0.0557186i | ||||||||
\(790\) | 46.1401 | + | 41.5464i | 1.64159 | + | 1.47816i | ||||
\(791\) | − | 33.1494i | − | 1.17866i | ||||||
\(792\) | −10.2757 | − | 7.46671i | −0.365132 | − | 0.265318i | ||||
\(793\) | −62.2901 | −2.21199 | ||||||||
\(794\) | 24.6819 | − | 27.4108i | 0.875926 | − | 0.972774i | ||||
\(795\) | −20.5359 | −0.728334 | ||||||||
\(796\) | −12.7520 | + | 1.33975i | −0.451981 | + | 0.0474864i | ||||
\(797\) | 0.0454042 | 0.00160830 | 0.000804149 | − | 1.00000i | \(-0.499744\pi\) | ||||
0.000804149 | 1.00000i | \(0.499744\pi\) | ||||||||
\(798\) | −5.06192 | − | 4.55796i | −0.179190 | − | 0.161350i | ||||
\(799\) | 6.03713i | 0.213578i | ||||||||
\(800\) | −41.3530 | + | 71.6085i | −1.46205 | + | 2.53174i | ||||
\(801\) | −11.6876 | −0.412961 | ||||||||
\(802\) | −1.71960 | − | 1.54840i | −0.0607212 | − | 0.0546759i | ||||
\(803\) | −16.5352 | −0.583515 | ||||||||
\(804\) | 11.2923 | + | 11.8526i | 0.398247 | + | 0.418010i | ||||
\(805\) | 42.5924 | 1.50119 | ||||||||
\(806\) | 57.2710 | + | 51.5691i | 2.01728 | + | 1.81645i | ||||
\(807\) | −6.01649 | −0.211790 | ||||||||
\(808\) | 7.32174 | − | 10.0762i | 0.257578 | − | 0.354480i | ||||
\(809\) | − | 50.0032i | − | 1.75802i | −0.476804 | − | 0.879010i | \(-0.658205\pi\) | ||
0.476804 | − | 0.879010i | \(-0.341795\pi\) | |||||||
\(810\) | −4.65486 | − | 4.19143i | −0.163555 | − | 0.147272i | ||||
\(811\) | 20.2892 | 0.712450 | 0.356225 | − | 0.934400i | \(-0.384064\pi\) | ||||
0.356225 | + | 0.934400i | \(0.384064\pi\) | |||||||
\(812\) | −1.84751 | − | 17.5849i | −0.0648350 | − | 0.617108i | ||||
\(813\) | 25.6297 | 0.898872 | ||||||||
\(814\) | 24.4756 | − | 27.1818i | 0.857868 | − | 0.952720i | ||||
\(815\) | 76.5276 | 2.68065 | ||||||||
\(816\) | 5.21559 | − | 1.10816i | 0.182582 | − | 0.0387934i | ||||
\(817\) | 1.82053i | 0.0636922i | ||||||||
\(818\) | −1.06428 | − | 0.958326i | −0.0372119 | − | 0.0335071i | ||||
\(819\) | 18.1646i | 0.634722i | ||||||||
\(820\) | −4.76725 | − | 45.3753i | −0.166479 | − | 1.58457i | ||||
\(821\) | 29.0883 | 1.01519 | 0.507594 | − | 0.861597i | \(-0.330535\pi\) | ||||
0.507594 | + | 0.861597i | \(0.330535\pi\) | |||||||
\(822\) | 7.24245 | + | 6.52140i | 0.252609 | + | 0.227460i | ||||
\(823\) | − | 37.9961i | − | 1.32446i | −0.749300 | − | 0.662231i | \(-0.769610\pi\) | ||
0.749300 | − | 0.662231i | \(-0.230390\pi\) | |||||||
\(824\) | −14.3514 | + | 19.7504i | −0.499954 | + | 0.688039i | ||||
\(825\) | −65.6468 | −2.28553 | ||||||||
\(826\) | −30.4458 | − | 27.4147i | −1.05934 | − | 0.953878i | ||||
\(827\) | 15.8924i | 0.552634i | 0.961067 | + | 0.276317i | \(0.0891140\pi\) | ||||
−0.961067 | + | 0.276317i | \(0.910886\pi\) | |||||||
\(828\) | 6.78865 | − | 0.713234i | 0.235922 | − | 0.0247866i | ||||
\(829\) | 31.9818 | 1.11077 | 0.555386 | − | 0.831593i | \(-0.312570\pi\) | ||||
0.555386 | + | 0.831593i | \(0.312570\pi\) | |||||||
\(830\) | −35.7633 | + | 39.7175i | −1.24136 | + | 1.37861i | ||||
\(831\) | −5.21072 | −0.180758 | ||||||||
\(832\) | 49.0535 | − | 15.9317i | 1.70062 | − | 0.552334i | ||||
\(833\) | 1.25103 | 0.0433455 | ||||||||
\(834\) | −3.13784 | + | 3.48479i | −0.108655 | + | 0.120668i | ||||
\(835\) | 54.9951 | 1.90318 | ||||||||
\(836\) | −15.2701 | + | 1.60431i | −0.528126 | + | 0.0554863i | ||||
\(837\) | −8.45275 | −0.292170 | ||||||||
\(838\) | −10.1111 | − | 9.10444i | −0.349282 | − | 0.314508i | ||||
\(839\) | 29.9516i | 1.03404i | 0.855972 | + | 0.517022i | \(0.172960\pi\) | ||||
−0.855972 | + | 0.517022i | \(0.827040\pi\) | |||||||
\(840\) | −20.7489 | + | 28.5548i | −0.715906 | + | 0.985233i | ||||
\(841\) | −19.1543 | −0.660493 | ||||||||
\(842\) | −9.71601 | + | 10.7903i | −0.334836 | + | 0.371858i | ||||
\(843\) | − | 24.6197i | − | 0.847947i | ||||||
\(844\) | 19.0483 | − | 2.00127i | 0.655670 | − | 0.0688864i | ||||
\(845\) | − | 126.514i | − | 4.35220i | ||||||
\(846\) | −4.75969 | − | 4.28582i | −0.163642 | − | 0.147350i | ||||
\(847\) | −25.8305 | −0.887547 | ||||||||
\(848\) | 3.85442 | + | 18.1409i | 0.132361 | + | 0.622963i | ||||
\(849\) | 8.75201i | 0.300368i | ||||||||
\(850\) | 18.4396 | − | 20.4784i | 0.632474 | − | 0.702404i | ||||
\(851\) | 19.6565i | 0.673815i | ||||||||
\(852\) | 0.953539 | − | 0.100181i | 0.0326677 | − | 0.00343216i | ||||
\(853\) | 44.7101 | 1.53084 | 0.765422 | − | 0.643529i | \(-0.222530\pi\) | ||||
0.765422 | + | 0.643529i | \(0.222530\pi\) | |||||||
\(854\) | −28.6097 | − | 25.7613i | −0.979002 | − | 0.881534i | ||||
\(855\) | −7.57166 | −0.258945 | ||||||||
\(856\) | 8.27662 | − | 11.3903i | 0.282889 | − | 0.389313i | ||||
\(857\) | 27.1676i | 0.928028i | 0.885828 | + | 0.464014i | \(0.153591\pi\) | ||||
−0.885828 | + | 0.464014i | \(0.846409\pi\) | |||||||
\(858\) | 30.4274 | + | 27.3981i | 1.03878 | + | 0.935356i | ||||
\(859\) | 27.5620i | 0.940403i | 0.882559 | + | 0.470201i | \(0.155819\pi\) | ||||
−0.882559 | + | 0.470201i | \(0.844181\pi\) | |||||||
\(860\) | 9.38220 | − | 0.985719i | 0.319930 | − | 0.0336127i | ||||
\(861\) | − | 14.5116i | − | 0.494555i | ||||||
\(862\) | 6.82108 | + | 6.14198i | 0.232327 | + | 0.209197i | ||||
\(863\) | − | 36.0347i | − | 1.22663i | −0.789837 | − | 0.613317i | \(-0.789835\pi\) | ||
0.789837 | − | 0.613317i | \(-0.210165\pi\) | |||||||
\(864\) | −2.82893 | + | 4.89869i | −0.0962422 | + | 0.166657i | ||||
\(865\) | 83.1896i | 2.82853i | ||||||||
\(866\) | 25.8178 | + | 23.2474i | 0.877325 | + | 0.789979i | ||||
\(867\) | 15.2231 | 0.517004 | ||||||||
\(868\) | 4.97694 | + | 47.3711i | 0.168928 | + | 1.60788i | ||||
\(869\) | 44.5144 | 1.51005 | ||||||||
\(870\) | −14.6060 | − | 13.1518i | −0.495188 | − | 0.445888i | ||||
\(871\) | −32.2091 | − | 41.8011i | −1.09136 | − | 1.41637i | ||||
\(872\) | 10.0904 | − | 13.8864i | 0.341703 | − | 0.470253i | ||||
\(873\) | 13.2311i | 0.447807i | ||||||||
\(874\) | 5.52126 | − | 6.13173i | 0.186759 | − | 0.207409i | ||||
\(875\) | 120.026i | 4.05761i | ||||||||
\(876\) | 0.769442 | + | 7.32364i | 0.0259970 | + | 0.247443i | ||||
\(877\) | −56.3692 | −1.90345 | −0.951726 | − | 0.306948i | \(-0.900692\pi\) | ||||
−0.951726 | + | 0.306948i | \(0.900692\pi\) | |||||||
\(878\) | −10.9668 | − | 9.87494i | −0.370111 | − | 0.333263i | ||||
\(879\) | 12.2547 | 0.413342 | ||||||||
\(880\) | 16.5358 | + | 77.8264i | 0.557423 | + | 2.62353i | ||||
\(881\) | 28.0003 | 0.943353 | 0.471677 | − | 0.881772i | \(-0.343649\pi\) | ||||
0.471677 | + | 0.881772i | \(0.343649\pi\) | |||||||
\(882\) | −0.888118 | + | 0.986314i | −0.0299045 | + | 0.0332109i | ||||
\(883\) | 52.9765 | 1.78280 | 0.891400 | − | 0.453217i | \(-0.149724\pi\) | ||||
0.891400 | + | 0.453217i | \(0.149724\pi\) | |||||||
\(884\) | −17.0936 | + | 1.79590i | −0.574920 | + | 0.0604027i | ||||
\(885\) | −45.5411 | −1.53085 | ||||||||
\(886\) | 2.51368 | − | 2.79161i | 0.0844486 | − | 0.0937858i | ||||
\(887\) | 19.9943i | 0.671344i | 0.941979 | + | 0.335672i | \(0.108963\pi\) | ||||
−0.941979 | + | 0.335672i | \(0.891037\pi\) | |||||||
\(888\) | −13.1781 | − | 9.57566i | −0.442227 | − | 0.321338i | ||||
\(889\) | 18.9018i | 0.633947i | ||||||||
\(890\) | 54.4041 | + | 48.9877i | 1.82363 | + | 1.64207i | ||||
\(891\) | −4.49085 | −0.150449 | ||||||||
\(892\) | −40.9520 | + | 4.30253i | −1.37117 | + | 0.144059i | ||||
\(893\) | −7.74219 | −0.259082 | ||||||||
\(894\) | −18.1995 | + | 20.2118i | −0.608683 | + | 0.675983i | ||||
\(895\) | − | 2.22632i | − | 0.0744177i | ||||||
\(896\) | 29.1190 | + | 12.9696i | 0.972798 | + | 0.433285i | ||||
\(897\) | −22.0036 | −0.734678 | ||||||||
\(898\) | 9.56609 | − | 10.6238i | 0.319225 | − | 0.354520i | ||||
\(899\) | −26.5229 | −0.884590 | ||||||||
\(900\) | 3.05477 | + | 29.0757i | 0.101826 | + | 0.969191i | ||||
\(901\) | − | 6.18044i | − | 0.205900i | ||||||
\(902\) | −24.3084 | − | 21.8883i | −0.809381 | − | 0.728800i | ||||
\(903\) | 3.00055 | 0.0998522 | ||||||||
\(904\) | −19.5617 | + | 26.9209i | −0.650613 | + | 0.895376i | ||||
\(905\) | − | 68.3229i | − | 2.27113i | ||||||
\(906\) | −11.7088 | − | 10.5431i | −0.388999 | − | 0.350270i | ||||
\(907\) | 35.9873i | 1.19494i | 0.801892 | + | 0.597469i | \(0.203827\pi\) | ||||
−0.801892 | + | 0.597469i | \(0.796173\pi\) | |||||||
\(908\) | 17.8858 | − | 1.87913i | 0.593561 | − | 0.0623611i | ||||
\(909\) | − | 4.40366i | − | 0.146060i | ||||||
\(910\) | 76.1355 | − | 84.5535i | 2.52387 | − | 2.80292i | ||||
\(911\) | − | 41.2271i | − | 1.36592i | −0.730458 | − | 0.682958i | \(-0.760693\pi\) | ||
0.730458 | − | 0.682958i | \(-0.239307\pi\) | |||||||
\(912\) | 1.42114 | + | 6.68863i | 0.0470586 | + | 0.221483i | ||||
\(913\) | 38.3181i | 1.26814i | ||||||||
\(914\) | −9.00610 | + | 10.0019i | −0.297895 | + | 0.330833i | ||||
\(915\) | −42.7946 | −1.41475 | ||||||||
\(916\) | 5.41505 | − | 0.568919i | 0.178918 | − | 0.0187976i | ||||
\(917\) | − | 8.31337i | − | 0.274532i | ||||||
\(918\) | 1.26144 | − | 1.40092i | 0.0416338 | − | 0.0462371i | ||||
\(919\) | −6.94070 | −0.228952 | −0.114476 | − | 0.993426i | \(-0.536519\pi\) | ||||
−0.114476 | + | 0.993426i | \(0.536519\pi\) | |||||||
\(920\) | −34.5897 | − | 25.1341i | −1.14039 | − | 0.828647i | ||||
\(921\) | − | 20.6834i | − | 0.681541i | ||||||
\(922\) | 36.3433 | − | 40.3616i | 1.19690 | − | 1.32924i | ||||
\(923\) | −3.09064 | −0.101730 | ||||||||
\(924\) | 2.64419 | + | 25.1678i | 0.0869875 | + | 0.827958i | ||||
\(925\) | −84.1884 | −2.76810 | ||||||||
\(926\) | −14.3258 | + | 15.9098i | −0.470777 | + | 0.522829i | ||||
\(927\) | 8.63164i | 0.283500i | ||||||||
\(928\) | −8.87658 | + | 15.3710i | −0.291388 | + | 0.504579i | ||||
\(929\) | − | 26.8342i | − | 0.880400i | −0.897900 | − | 0.440200i | \(-0.854908\pi\) | ||
0.897900 | − | 0.440200i | \(-0.145092\pi\) | |||||||
\(930\) | 39.3464 | + | 35.4291i | 1.29022 | + | 1.16177i | ||||
\(931\) | 1.60435i | 0.0525806i | ||||||||
\(932\) | 37.5699 | − | 3.94720i | 1.23064 | − | 0.129295i | ||||
\(933\) | 6.74222 | 0.220730 | ||||||||
\(934\) | −32.4530 | − | 29.2221i | −1.06190 | − | 0.956175i | ||||
\(935\) | − | 26.5147i | − | 0.867123i | ||||||
\(936\) | 10.7191 | − | 14.7516i | 0.350363 | − | 0.482171i | ||||
\(937\) | 35.3256i | 1.15404i | 0.816731 | + | 0.577019i | \(0.195784\pi\) | ||||
−0.816731 | + | 0.577019i | \(0.804216\pi\) | |||||||
\(938\) | 2.49412 | − | 32.5198i | 0.0814360 | − | 1.06181i | ||||
\(939\) | − | 6.93434i | − | 0.226294i | ||||||
\(940\) | 4.19198 | + | 39.8998i | 0.136727 | + | 1.30139i | ||||
\(941\) | 4.39946i | 0.143418i | 0.997426 | + | 0.0717091i | \(0.0228453\pi\) | ||||
−0.997426 | + | 0.0717091i | \(0.977155\pi\) | |||||||
\(942\) | −10.2611 | + | 11.3957i | −0.334325 | + | 0.371290i | ||||
\(943\) | 17.5786 | 0.572437 | ||||||||
\(944\) | 8.54769 | + | 40.2300i | 0.278203 | + | 1.30937i | ||||
\(945\) | 12.4794i | 0.405956i | ||||||||
\(946\) | 4.52582 | − | 5.02622i | 0.147147 | − | 0.163417i | ||||
\(947\) | − | 49.4127i | − | 1.60570i | −0.596183 | − | 0.802848i | \(-0.703317\pi\) | ||
0.596183 | − | 0.802848i | \(-0.296683\pi\) | |||||||
\(948\) | −2.07141 | − | 19.7160i | −0.0672763 | − | 0.640345i | ||||
\(949\) | − | 23.7376i | − | 0.770555i | ||||||
\(950\) | 26.2621 | + | 23.6475i | 0.852056 | + | 0.767227i | ||||
\(951\) | 17.2122 | 0.558143 | ||||||||
\(952\) | −8.59378 | − | 6.24456i | −0.278526 | − | 0.202387i | ||||
\(953\) | −29.3374 | −0.950333 | −0.475166 | − | 0.879896i | \(-0.657612\pi\) | ||||
−0.475166 | + | 0.879896i | \(0.657612\pi\) | |||||||
\(954\) | 4.87268 | + | 4.38757i | 0.157759 | + | 0.142053i | ||||
\(955\) | − | 29.3008i | − | 0.948151i | ||||||
\(956\) | 5.58546 | + | 53.1631i | 0.180647 | + | 1.71942i | ||||
\(957\) | −14.0913 | −0.455508 | ||||||||
\(958\) | 26.8868 | + | 24.2100i | 0.868675 | + | 0.782190i | ||||
\(959\) | − | 19.4166i | − | 0.626996i | ||||||
\(960\) | 33.7008 | − | 10.9454i | 1.08769 | − | 0.353263i | ||||
\(961\) | 40.4490 | 1.30481 | ||||||||
\(962\) | 39.0215 | + | 35.1366i | 1.25811 | + | 1.13285i | ||||
\(963\) | − | 4.97798i | − | 0.160413i | ||||||
\(964\) | −2.52079 | − | 23.9932i | −0.0811892 | − | 0.772769i | ||||
\(965\) | − | 33.5573i | − | 1.08025i | ||||||
\(966\) | −10.1062 | − | 9.10002i | −0.325161 | − | 0.292788i | ||||
\(967\) | 2.15484i | 0.0692951i | 0.999400 | + | 0.0346476i | \(0.0110309\pi\) | ||||
−0.999400 | + | 0.0346476i | \(0.988969\pi\) | |||||||
\(968\) | 20.9772 | + | 15.2428i | 0.674232 | + | 0.489922i | ||||
\(969\) | − | 2.27875i | − | 0.0732041i | ||||||
\(970\) | 55.4574 | − | 61.5891i | 1.78063 | − | 1.97751i | ||||
\(971\) | 27.3862i | 0.878864i | 0.898276 | + | 0.439432i | \(0.144820\pi\) | ||||
−0.898276 | + | 0.439432i | \(0.855180\pi\) | |||||||
\(972\) | 0.208975 | + | 1.98905i | 0.00670288 | + | 0.0637989i | ||||
\(973\) | 9.34254 | 0.299508 | ||||||||
\(974\) | −20.6274 | + | 22.9081i | −0.660945 | + | 0.734024i | ||||
\(975\) | − | 94.2411i | − | 3.01813i | ||||||
\(976\) | 8.03219 | + | 37.8037i | 0.257104 | + | 1.21007i | ||||
\(977\) | 24.2286 | 0.775140 | 0.387570 | − | 0.921840i | \(-0.373315\pi\) | ||||
0.387570 | + | 0.921840i | \(0.373315\pi\) | |||||||
\(978\) | −18.1582 | − | 16.3504i | −0.580635 | − | 0.522828i | ||||
\(979\) | 52.4873 | 1.67750 | ||||||||
\(980\) | 8.26813 | − | 0.868672i | 0.264116 | − | 0.0277487i | ||||
\(981\) | − | 6.06886i | − | 0.193764i | ||||||
\(982\) | 31.2249 | + | 28.1162i | 0.996426 | + | 0.897223i | ||||
\(983\) | −16.3688 | −0.522083 | −0.261041 | − | 0.965328i | \(-0.584066\pi\) | ||||
−0.261041 | + | 0.965328i | \(0.584066\pi\) | |||||||
\(984\) | −8.56342 | + | 11.7850i | −0.272992 | + | 0.375692i | ||||
\(985\) | 34.5795 | 1.10180 | ||||||||
\(986\) | 3.95814 | − | 4.39578i | 0.126053 | − | 0.139990i | ||||
\(987\) | 12.7605i | 0.406171i | ||||||||
\(988\) | −2.30312 | − | 21.9214i | −0.0732719 | − | 0.697411i | ||||
\(989\) | 3.63471i | 0.115577i | ||||||||
\(990\) | 20.9043 | + | 18.8231i | 0.664382 | + | 0.598237i | ||||
\(991\) | −38.1245 | −1.21106 | −0.605532 | − | 0.795821i | \(-0.707039\pi\) | ||||
−0.605532 | + | 0.795821i | \(0.707039\pi\) | |||||||
\(992\) | 23.9123 | − | 41.4074i | 0.759215 | − | 1.31469i | ||||
\(993\) | −11.8004 | −0.374476 | ||||||||
\(994\) | −1.41952 | − | 1.27820i | −0.0450245 | − | 0.0405419i | ||||
\(995\) | 28.3960 | 0.900213 | ||||||||
\(996\) | 16.9716 | − | 1.78308i | 0.537764 | − | 0.0564989i | ||||
\(997\) | 48.6222 | 1.53988 | 0.769940 | − | 0.638116i | \(-0.220286\pi\) | ||||
0.769940 | + | 0.638116i | \(0.220286\pi\) | |||||||
\(998\) | 12.3266 | − | 13.6895i | 0.390193 | − | 0.433335i | ||||
\(999\) | −5.75928 | −0.182216 |
(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 | 804.2.e.a.535.10 | yes | 34 | |
4.3 | odd | 2 | 804.2.e.b.535.26 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.b.535.25 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.a.535.9 | ✓ | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.9 | ✓ | 34 | 268.267 | even | 2 | inner | |
804.2.e.a.535.10 | yes | 34 | 1.1 | even | 1 | trivial | |
804.2.e.b.535.25 | yes | 34 | 67.66 | odd | 2 | ||
804.2.e.b.535.26 | yes | 34 | 4.3 | odd | 2 |