Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(35,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.w (of order \(8\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 35.5 | ||
Character | \(\chi\) | \(=\) | 288.35 |
Dual form | 288.2.w.b.107.5 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.345448 | + | 1.37137i | 0.244268 | + | 0.969708i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.76133 | + | 0.947475i | −0.880666 | + | 0.473738i | ||||
\(5\) | 1.64859 | − | 0.682869i | 0.737273 | − | 0.305388i | 0.0177359 | − | 0.999843i | \(-0.494354\pi\) |
0.719537 | + | 0.694454i | \(0.244354\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.51270 | + | 2.51270i | 0.949711 | + | 0.949711i | 0.998795 | − | 0.0490835i | \(-0.0156300\pi\) |
−0.0490835 | + | 0.998795i | \(0.515630\pi\) | |||||||
\(8\) | −1.90779 | − | 2.08814i | −0.674506 | − | 0.738270i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.50597 | + | 2.02494i | 0.476230 | + | 0.640342i | ||||
\(11\) | 2.69097 | − | 1.11464i | 0.811357 | − | 0.336075i | 0.0618618 | − | 0.998085i | \(-0.480296\pi\) |
0.749495 | + | 0.662010i | \(0.230296\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.76057 | + | 4.25040i | −0.488295 | + | 1.17885i | 0.467283 | + | 0.884108i | \(0.345233\pi\) |
−0.955577 | + | 0.294740i | \(0.904767\pi\) | |||||||
\(14\) | −2.57784 | + | 4.31386i | −0.688958 | + | 1.15293i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.20458 | − | 3.33764i | 0.551145 | − | 0.834409i | ||||
\(17\) | −6.10169 | −1.47988 | −0.739939 | − | 0.672674i | \(-0.765146\pi\) | ||||
−0.739939 | + | 0.672674i | \(0.765146\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.43292 | + | 1.42196i | 0.787567 | + | 0.326221i | 0.739965 | − | 0.672645i | \(-0.234842\pi\) |
0.0476020 | + | 0.998866i | \(0.484842\pi\) | |||||||
\(20\) | −2.25672 | + | 2.76476i | −0.504617 | + | 0.618219i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.45817 | + | 3.30527i | 0.524083 | + | 0.704687i | ||||
\(23\) | 0.525502 | + | 0.525502i | 0.109575 | + | 0.109575i | 0.759768 | − | 0.650194i | \(-0.225312\pi\) |
−0.650194 | + | 0.759768i | \(0.725312\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.28399 | + | 1.28399i | −0.256798 | + | 0.256798i | ||||
\(26\) | −6.43707 | − | 0.946113i | −1.26241 | − | 0.185548i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.80642 | − | 2.04498i | −1.28629 | − | 0.386464i | ||||
\(29\) | 1.46544 | − | 3.53788i | 0.272125 | − | 0.656967i | −0.727449 | − | 0.686162i | \(-0.759294\pi\) |
0.999574 | + | 0.0291945i | \(0.00929421\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 7.55322i | − | 1.35660i | −0.734786 | − | 0.678299i | \(-0.762717\pi\) | ||
0.734786 | − | 0.678299i | \(-0.237283\pi\) | |||||||
\(32\) | 5.33872 | + | 1.87033i | 0.943760 | + | 0.330630i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.10781 | − | 8.36770i | −0.361487 | − | 1.43505i | ||||
\(35\) | 5.85826 | + | 2.42657i | 0.990227 | + | 0.410165i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.30333 | + | 5.56073i | 0.378665 | + | 0.914178i | 0.992217 | + | 0.124523i | \(0.0397402\pi\) |
−0.613552 | + | 0.789655i | \(0.710260\pi\) | |||||||
\(38\) | −0.764149 | + | 5.19904i | −0.123961 | + | 0.843395i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.57109 | − | 2.13972i | −0.722754 | − | 0.338320i | ||||
\(41\) | 3.04402 | − | 3.04402i | 0.475396 | − | 0.475396i | −0.428260 | − | 0.903656i | \(-0.640873\pi\) |
0.903656 | + | 0.428260i | \(0.140873\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.31422 | − | 8.00123i | −0.505414 | − | 1.22018i | −0.946498 | − | 0.322711i | \(-0.895406\pi\) |
0.441084 | − | 0.897466i | \(-0.354594\pi\) | |||||||
\(44\) | −3.68360 | + | 4.51287i | −0.555323 | + | 0.680340i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.539126 | + | 0.902192i | −0.0794898 | + | 0.133021i | ||||
\(47\) | − | 8.59875i | − | 1.25426i | −0.778916 | − | 0.627128i | \(-0.784230\pi\) | ||
0.778916 | − | 0.627128i | \(-0.215770\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.62732i | 0.803903i | ||||||||
\(50\) | −2.20438 | − | 1.31728i | −0.311746 | − | 0.186291i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.926194 | − | 9.15446i | −0.128440 | − | 1.26950i | ||||
\(53\) | −3.78946 | − | 9.14856i | −0.520522 | − | 1.25665i | −0.937580 | − | 0.347771i | \(-0.886939\pi\) |
0.417058 | − | 0.908880i | \(-0.363061\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.67516 | − | 3.67516i | 0.495558 | − | 0.495558i | ||||
\(56\) | 0.453168 | − | 10.0406i | 0.0605571 | − | 1.34173i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.35798 | + | 0.787511i | 0.703538 | + | 0.103405i | ||||
\(59\) | 3.73387 | + | 9.01437i | 0.486109 | + | 1.17357i | 0.956662 | + | 0.291199i | \(0.0940543\pi\) |
−0.470553 | + | 0.882372i | \(0.655946\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.41173 | + | 1.41318i | 0.436827 | + | 0.180940i | 0.590249 | − | 0.807221i | \(-0.299030\pi\) |
−0.153422 | + | 0.988161i | \(0.549030\pi\) | |||||||
\(62\) | 10.3583 | − | 2.60924i | 1.31550 | − | 0.331374i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.720670 | + | 7.96747i | −0.0900838 | + | 0.995934i | ||||
\(65\) | 8.20941i | 1.01825i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.0538792 | − | 0.130076i | 0.00658239 | − | 0.0158913i | −0.920554 | − | 0.390615i | \(-0.872262\pi\) |
0.927137 | + | 0.374724i | \(0.122262\pi\) | |||||||
\(68\) | 10.7471 | − | 5.78120i | 1.30328 | − | 0.701074i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.30401 | + | 8.87212i | −0.155860 | + | 1.06042i | ||||
\(71\) | 1.31641 | − | 1.31641i | 0.156229 | − | 0.156229i | −0.624664 | − | 0.780893i | \(-0.714764\pi\) |
0.780893 | + | 0.624664i | \(0.214764\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −10.9226 | − | 10.9226i | −1.27839 | − | 1.27839i | −0.941566 | − | 0.336829i | \(-0.890646\pi\) |
−0.336829 | − | 0.941566i | \(-0.609354\pi\) | |||||||
\(74\) | −6.83016 | + | 5.07966i | −0.793990 | + | 0.590499i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.39380 | + | 0.748061i | −0.848127 | + | 0.0858085i | ||||
\(77\) | 9.56234 | + | 3.96085i | 1.08973 | + | 0.451381i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.8735 | 1.33588 | 0.667939 | − | 0.744216i | \(-0.267177\pi\) | ||||
0.667939 | + | 0.744216i | \(0.267177\pi\) | |||||||
\(80\) | 1.35528 | − | 7.00784i | 0.151525 | − | 0.783500i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.22604 | + | 3.12294i | 0.577119 | + | 0.344871i | ||||
\(83\) | −4.38490 | + | 10.5861i | −0.481305 | + | 1.16197i | 0.477684 | + | 0.878532i | \(0.341476\pi\) |
−0.958989 | + | 0.283442i | \(0.908524\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.0592 | + | 4.16666i | −1.09107 | + | 0.451937i | ||||
\(86\) | 9.82779 | − | 7.30904i | 1.05976 | − | 0.788154i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −7.46132 | − | 3.49263i | −0.795379 | − | 0.372316i | ||||
\(89\) | −5.97566 | − | 5.97566i | −0.633418 | − | 0.633418i | 0.315506 | − | 0.948924i | \(-0.397826\pi\) |
−0.948924 | + | 0.315506i | \(0.897826\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.1038 | + | 6.25618i | −1.58330 | + | 0.655826i | ||||
\(92\) | −1.42348 | − | 0.427683i | −0.148408 | − | 0.0445890i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 11.7921 | − | 2.97042i | 1.21626 | − | 0.306375i | ||||
\(95\) | 6.63051 | 0.680276 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.21530 | −0.326464 | −0.163232 | − | 0.986588i | \(-0.552192\pi\) | ||||
−0.163232 | + | 0.986588i | \(0.552192\pi\) | |||||||
\(98\) | −7.71716 | + | 1.94394i | −0.779551 | + | 0.196368i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.04498 | − | 3.47808i | 0.104498 | − | 0.347808i | ||||
\(101\) | 1.62739 | − | 0.674085i | 0.161931 | − | 0.0670740i | −0.300246 | − | 0.953862i | \(-0.597069\pi\) |
0.462177 | + | 0.886788i | \(0.347069\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.111372 | + | 0.111372i | 0.0109738 | + | 0.0109738i | 0.712572 | − | 0.701599i | \(-0.247530\pi\) |
−0.701599 | + | 0.712572i | \(0.747530\pi\) | |||||||
\(104\) | 12.2342 | − | 4.43254i | 1.19967 | − | 0.434647i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.2370 | − | 8.35711i | 1.09144 | − | 0.811714i | ||||
\(107\) | −3.59142 | + | 1.48762i | −0.347196 | + | 0.143813i | −0.549465 | − | 0.835517i | \(-0.685168\pi\) |
0.202269 | + | 0.979330i | \(0.435168\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.90637 | − | 14.2592i | 0.565727 | − | 1.36579i | −0.339398 | − | 0.940643i | \(-0.610223\pi\) |
0.905126 | − | 0.425144i | \(-0.139777\pi\) | |||||||
\(110\) | 6.30959 | + | 3.77044i | 0.601596 | + | 0.359497i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 13.9259 | − | 2.84703i | 1.31588 | − | 0.269019i | ||||
\(113\) | −16.6022 | −1.56180 | −0.780902 | − | 0.624653i | \(-0.785240\pi\) | ||||
−0.780902 | + | 0.624653i | \(0.785240\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.22519 | + | 0.507489i | 0.114249 | + | 0.0473236i | ||||
\(116\) | 0.770931 | + | 7.61984i | 0.0715791 | + | 0.707485i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −11.0722 | + | 8.23453i | −1.01928 | + | 0.758050i | ||||
\(119\) | −15.3317 | − | 15.3317i | −1.40546 | − | 1.40546i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.77928 | + | 1.77928i | −0.161753 | + | 0.161753i | ||||
\(122\) | −0.759430 | + | 5.16693i | −0.0687556 | + | 0.467792i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 7.15649 | + | 13.3037i | 0.642672 | + | 1.19471i | ||||
\(125\) | −4.65432 | + | 11.2365i | −0.416295 | + | 1.00503i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 19.5462i | − | 1.73444i | −0.497923 | − | 0.867221i | \(-0.665904\pi\) | ||
0.497923 | − | 0.867221i | \(-0.334096\pi\) | |||||||
\(128\) | −11.1753 | + | 1.76404i | −0.987770 | + | 0.155920i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −11.2582 | + | 2.83592i | −0.987407 | + | 0.248727i | ||||
\(131\) | 5.97269 | + | 2.47397i | 0.521837 | + | 0.216152i | 0.628023 | − | 0.778194i | \(-0.283864\pi\) |
−0.106187 | + | 0.994346i | \(0.533864\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.05294 | + | 12.1989i | 0.438145 | + | 1.05778i | ||||
\(134\) | 0.196995 | + | 0.0289541i | 0.0170178 | + | 0.00250126i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 11.6407 | + | 12.7412i | 0.998186 | + | 1.09255i | ||||
\(137\) | −13.9438 | + | 13.9438i | −1.19130 | + | 1.19130i | −0.214594 | + | 0.976703i | \(0.568843\pi\) |
−0.976703 | + | 0.214594i | \(0.931157\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.10923 | + | 12.3348i | 0.433359 | + | 1.04622i | 0.978197 | + | 0.207680i | \(0.0665913\pi\) |
−0.544838 | + | 0.838542i | \(0.683409\pi\) | |||||||
\(140\) | −12.6175 | + | 1.27656i | −1.06637 | + | 0.107889i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.26004 | + | 1.35054i | 0.189658 | + | 0.113335i | ||||
\(143\) | 13.4001i | 1.12057i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 6.83322i | − | 0.567468i | ||||||
\(146\) | 11.2058 | − | 18.7522i | 0.927398 | − | 1.55194i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −9.32558 | − | 7.61194i | −0.766558 | − | 0.625698i | ||||
\(149\) | −1.29028 | − | 3.11502i | −0.105704 | − | 0.255192i | 0.862174 | − | 0.506612i | \(-0.169102\pi\) |
−0.967878 | + | 0.251420i | \(0.919102\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.0537 | + | 10.0537i | −0.818159 | + | 0.818159i | −0.985841 | − | 0.167682i | \(-0.946372\pi\) |
0.167682 | + | 0.985841i | \(0.446372\pi\) | |||||||
\(152\) | −3.58004 | − | 9.88124i | −0.290380 | − | 0.801475i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.12852 | + | 14.4818i | −0.171521 | + | 1.16698i | ||||
\(155\) | −5.15786 | − | 12.4522i | −0.414289 | − | 1.00018i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 15.3765 | + | 6.36916i | 1.22718 | + | 0.508315i | 0.899686 | − | 0.436539i | \(-0.143796\pi\) |
0.327494 | + | 0.944853i | \(0.393796\pi\) | |||||||
\(158\) | 4.10169 | + | 16.2831i | 0.326313 | + | 1.29541i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 10.0785 | − | 0.562239i | 0.796779 | − | 0.0444489i | ||||
\(161\) | 2.64086i | 0.208129i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.22080 | − | 10.1899i | 0.330599 | − | 0.798136i | −0.667946 | − | 0.744210i | \(-0.732826\pi\) |
0.998545 | − | 0.0539266i | \(-0.0171737\pi\) | |||||||
\(164\) | −2.47740 | + | 8.24566i | −0.193452 | + | 0.643878i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −16.0322 | − | 2.35640i | −1.24434 | − | 0.182892i | ||||
\(167\) | −11.1209 | + | 11.1209i | −0.860562 | + | 0.860562i | −0.991403 | − | 0.130842i | \(-0.958232\pi\) |
0.130842 | + | 0.991403i | \(0.458232\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.77387 | − | 5.77387i | −0.444144 | − | 0.444144i | ||||
\(170\) | −9.18897 | − | 12.3556i | −0.704762 | − | 0.947628i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 13.4184 | + | 10.9527i | 1.02314 | + | 0.835134i | ||||
\(173\) | 9.66463 | + | 4.00322i | 0.734788 | + | 0.304359i | 0.718518 | − | 0.695509i | \(-0.244821\pi\) |
0.0162700 | + | 0.999868i | \(0.494821\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.45256 | −0.487768 | ||||||||
\(176\) | 2.21221 | − | 11.4388i | 0.166751 | − | 0.862230i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.13058 | − | 10.2591i | 0.459507 | − | 0.768955i | ||||
\(179\) | −6.65549 | + | 16.0678i | −0.497455 | + | 1.20096i | 0.453395 | + | 0.891310i | \(0.350213\pi\) |
−0.950850 | + | 0.309652i | \(0.899787\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.5604 | + | 6.85953i | −1.23092 | + | 0.509865i | −0.900867 | − | 0.434096i | \(-0.857068\pi\) |
−0.330056 | + | 0.943961i | \(0.607068\pi\) | |||||||
\(182\) | −13.7971 | − | 18.5517i | −1.02271 | − | 1.37514i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.0947747 | − | 2.09987i | 0.00698688 | − | 0.154804i | ||||
\(185\) | 7.59450 | + | 7.59450i | 0.558359 | + | 0.558359i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −16.4195 | + | 6.80116i | −1.20071 | + | 0.497350i | ||||
\(188\) | 8.14710 | + | 15.1453i | 0.594189 | + | 1.10458i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.29049 | + | 9.09290i | 0.166170 | + | 0.659668i | ||||
\(191\) | −0.545506 | −0.0394715 | −0.0197357 | − | 0.999805i | \(-0.506282\pi\) | ||||
−0.0197357 | + | 0.999805i | \(0.506282\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 13.7484 | 0.989632 | 0.494816 | − | 0.868998i | \(-0.335235\pi\) | ||||
0.494816 | + | 0.868998i | \(0.335235\pi\) | |||||||
\(194\) | −1.11072 | − | 4.40938i | −0.0797448 | − | 0.316575i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.33175 | − | 9.91158i | −0.380839 | − | 0.707970i | ||||
\(197\) | 3.74434 | − | 1.55095i | 0.266773 | − | 0.110501i | −0.245288 | − | 0.969450i | \(-0.578882\pi\) |
0.512060 | + | 0.858949i | \(0.328882\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.72904 | + | 9.72904i | 0.689673 | + | 0.689673i | 0.962160 | − | 0.272486i | \(-0.0878460\pi\) |
−0.272486 | + | 0.962160i | \(0.587846\pi\) | |||||||
\(200\) | 5.13074 | + | 0.231569i | 0.362798 | + | 0.0163744i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.48660 | + | 1.99889i | 0.104597 | + | 0.140642i | ||||
\(203\) | 12.5718 | − | 5.20742i | 0.882369 | − | 0.365489i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.93968 | − | 7.09701i | 0.205316 | − | 0.495677i | ||||
\(206\) | −0.114259 | + | 0.191205i | −0.00796080 | + | 0.0133219i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 10.3050 | + | 15.2465i | 0.714520 | + | 1.05715i | ||||
\(209\) | 10.8229 | 0.748633 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.8221 | + | 5.31108i | 0.882708 | + | 0.365630i | 0.777546 | − | 0.628826i | \(-0.216464\pi\) |
0.105162 | + | 0.994455i | \(0.466464\pi\) | |||||||
\(212\) | 15.3425 | + | 12.5232i | 1.05373 | + | 0.860099i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.28073 | − | 4.41129i | −0.224266 | − | 0.301550i | ||||
\(215\) | −10.9276 | − | 10.9276i | −0.745255 | − | 0.745255i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 18.9790 | − | 18.9790i | 1.28838 | − | 1.28838i | ||||
\(218\) | 21.5951 | + | 3.17402i | 1.46260 | + | 0.214972i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.99105 | + | 9.95529i | −0.201657 | + | 0.671186i | ||||
\(221\) | 10.7425 | − | 25.9346i | 0.722616 | − | 1.74455i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.9519i | 0.800361i | 0.916436 | + | 0.400180i | \(0.131053\pi\) | ||||
−0.916436 | + | 0.400180i | \(0.868947\pi\) | |||||||
\(224\) | 8.71502 | + | 18.1142i | 0.582297 | + | 1.21030i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.73519 | − | 22.7678i | −0.381499 | − | 1.51449i | ||||
\(227\) | 7.57146 | + | 3.13620i | 0.502536 | + | 0.208157i | 0.619526 | − | 0.784976i | \(-0.287325\pi\) |
−0.116991 | + | 0.993133i | \(0.537325\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.36683 | − | 10.5425i | −0.288568 | − | 0.696665i | 0.711413 | − | 0.702774i | \(-0.248055\pi\) |
−0.999981 | + | 0.00610879i | \(0.998055\pi\) | |||||||
\(230\) | −0.272719 | + | 1.85550i | −0.0179826 | + | 0.122348i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −10.1833 | + | 3.68949i | −0.668569 | + | 0.242227i | ||||
\(233\) | 16.6048 | − | 16.6048i | 1.08782 | − | 1.08782i | 0.0920662 | − | 0.995753i | \(-0.470653\pi\) |
0.995753 | − | 0.0920662i | \(-0.0293472\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.87182 | − | 14.1758i | −0.383035 | − | 0.924729i | ||||
\(236\) | −15.1175 | − | 12.3395i | −0.984065 | − | 0.803236i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 15.7292 | − | 26.3218i | 1.01957 | − | 1.70619i | ||||
\(239\) | − | 19.8212i | − | 1.28213i | −0.767488 | − | 0.641063i | \(-0.778494\pi\) | ||
0.767488 | − | 0.641063i | \(-0.221506\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.78762i | 0.501645i | 0.968033 | + | 0.250823i | \(0.0807011\pi\) | ||||
−0.968033 | + | 0.250823i | \(0.919299\pi\) | |||||||
\(242\) | −3.05471 | − | 1.82541i | −0.196364 | − | 0.117342i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.34814 | + | 0.743441i | −0.470416 | + | 0.0475940i | ||||
\(245\) | 3.84272 | + | 9.27715i | 0.245503 | + | 0.592695i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.0878 | + | 12.0878i | −0.769130 | + | 0.769130i | ||||
\(248\) | −15.7722 | + | 14.4100i | −1.00153 | + | 0.915033i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −17.0173 | − | 2.50119i | −1.07627 | − | 0.158189i | ||||
\(251\) | −11.1471 | − | 26.9114i | −0.703597 | − | 1.69863i | −0.715412 | − | 0.698703i | \(-0.753761\pi\) |
0.0118144 | − | 0.999930i | \(-0.496239\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.99985 | + | 0.828365i | 0.125729 | + | 0.0520789i | ||||
\(254\) | 26.8051 | − | 6.75218i | 1.68190 | − | 0.423669i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −6.27965 | − | 14.7162i | −0.392478 | − | 0.919761i | ||||
\(257\) | 6.18232i | 0.385643i | 0.981234 | + | 0.192821i | \(0.0617638\pi\) | ||||
−0.981234 | + | 0.192821i | \(0.938236\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.18487 | + | 19.7600i | −0.508583 | + | 1.22783i | ||||
\(260\) | −7.77821 | − | 14.4595i | −0.482384 | − | 0.896740i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.32949 | + | 9.04542i | −0.0821359 | + | 0.558828i | ||||
\(263\) | 2.98771 | − | 2.98771i | 0.184230 | − | 0.184230i | −0.608966 | − | 0.793196i | \(-0.708416\pi\) |
0.793196 | + | 0.608966i | \(0.208416\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.4945 | − | 12.4945i | −0.767533 | − | 0.767533i | ||||
\(266\) | −14.9837 | + | 11.1435i | −0.918709 | + | 0.683254i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.0283445 | + | 0.280156i | 0.00173142 | + | 0.0171133i | ||||
\(269\) | 14.2963 | + | 5.92170i | 0.871658 | + | 0.361053i | 0.773256 | − | 0.634094i | \(-0.218627\pi\) |
0.0984022 | + | 0.995147i | \(0.468627\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.23625 | −0.257334 | −0.128667 | − | 0.991688i | \(-0.541070\pi\) | ||||
−0.128667 | + | 0.991688i | \(0.541070\pi\) | |||||||
\(272\) | −13.4517 | + | 20.3652i | −0.815627 | + | 1.23482i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −23.9390 | − | 14.3053i | −1.44621 | − | 0.864214i | ||||
\(275\) | −2.02399 | + | 4.88635i | −0.122051 | + | 0.294658i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.63206 | − | 0.676023i | 0.0980612 | − | 0.0406183i | −0.333114 | − | 0.942887i | \(-0.608099\pi\) |
0.431175 | + | 0.902268i | \(0.358099\pi\) | |||||||
\(278\) | −15.1506 | + | 11.2677i | −0.908673 | + | 0.675791i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.10931 | − | 16.8623i | −0.365101 | − | 1.00771i | ||||
\(281\) | −0.648281 | − | 0.648281i | −0.0386732 | − | 0.0386732i | 0.687506 | − | 0.726179i | \(-0.258706\pi\) |
−0.726179 | + | 0.687506i | \(0.758706\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.905971 | + | 0.375265i | −0.0538544 | + | 0.0223072i | −0.409448 | − | 0.912333i | \(-0.634279\pi\) |
0.355594 | + | 0.934641i | \(0.384279\pi\) | |||||||
\(284\) | −1.07137 | + | 3.56589i | −0.0635739 | + | 0.211597i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −18.3765 | + | 4.62902i | −1.08663 | + | 0.273720i | ||||
\(287\) | 15.2974 | 0.902978 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 20.2306 | 1.19004 | ||||||||
\(290\) | 9.37089 | − | 2.36052i | 0.550278 | − | 0.138614i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 29.5872 | + | 8.88944i | 1.73146 | + | 0.520215i | ||||
\(293\) | −3.85498 | + | 1.59678i | −0.225210 | + | 0.0932851i | −0.492435 | − | 0.870349i | \(-0.663893\pi\) |
0.267225 | + | 0.963634i | \(0.413893\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.3113 | + | 12.3113i | 0.716790 | + | 0.716790i | ||||
\(296\) | 7.21732 | − | 15.4184i | 0.419498 | − | 0.896175i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 3.82613 | − | 2.84554i | 0.221642 | − | 0.164838i | ||||
\(299\) | −3.15877 | + | 1.30841i | −0.182677 | + | 0.0756671i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.7771 | − | 28.4323i | 0.678818 | − | 1.63881i | ||||
\(302\) | −17.2604 | − | 10.3144i | −0.993226 | − | 0.593525i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 12.3142 | − | 8.32302i | 0.706266 | − | 0.477358i | ||||
\(305\) | 6.58956 | 0.377317 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.77567 | − | 1.97815i | −0.272562 | − | 0.112899i | 0.242216 | − | 0.970222i | \(-0.422126\pi\) |
−0.514778 | + | 0.857323i | \(0.672126\pi\) | |||||||
\(308\) | −20.5953 | + | 2.08371i | −1.17352 | + | 0.118730i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 15.2948 | − | 11.3749i | 0.868687 | − | 0.646052i | ||||
\(311\) | 5.85083 | + | 5.85083i | 0.331770 | + | 0.331770i | 0.853258 | − | 0.521488i | \(-0.174623\pi\) |
−0.521488 | + | 0.853258i | \(0.674623\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.37980 | + | 9.37980i | −0.530178 | + | 0.530178i | −0.920625 | − | 0.390448i | \(-0.872320\pi\) |
0.390448 | + | 0.920625i | \(0.372320\pi\) | |||||||
\(314\) | −3.42272 | + | 23.2872i | −0.193155 | + | 1.31417i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −20.9133 | + | 11.2499i | −1.17646 | + | 0.632856i | ||||
\(317\) | −7.45951 | + | 18.0089i | −0.418968 | + | 1.01148i | 0.563679 | + | 0.825994i | \(0.309385\pi\) |
−0.982647 | + | 0.185484i | \(0.940615\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 11.1537i | − | 0.624490i | ||||||
\(320\) | 4.25265 | + | 13.6272i | 0.237730 | + | 0.761786i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.62160 | + | 0.912277i | −0.201824 | + | 0.0508392i | ||||
\(323\) | −20.9466 | − | 8.67638i | −1.16550 | − | 0.482767i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.19691 | − | 7.71802i | −0.177333 | − | 0.428119i | ||||
\(326\) | 15.4323 | + | 2.26822i | 0.854714 | + | 0.125625i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −12.1637 | − | 0.548992i | −0.671628 | − | 0.0303130i | ||||
\(329\) | 21.6061 | − | 21.6061i | 1.19118 | − | 1.19118i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.04504 | − | 4.93715i | −0.112405 | − | 0.271370i | 0.857659 | − | 0.514219i | \(-0.171918\pi\) |
−0.970064 | + | 0.242849i | \(0.921918\pi\) | |||||||
\(332\) | −2.30679 | − | 22.8002i | −0.126601 | − | 1.25132i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −19.0926 | − | 11.4092i | −1.04470 | − | 0.624285i | ||||
\(335\) | − | 0.251234i | − | 0.0137264i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 32.7329i | 1.78308i | 0.452946 | + | 0.891538i | \(0.350373\pi\) | ||||
−0.452946 | + | 0.891538i | \(0.649627\pi\) | |||||||
\(338\) | 5.92357 | − | 9.91271i | 0.322200 | − | 0.539180i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 13.7698 | − | 16.8697i | 0.746771 | − | 0.914888i | ||||
\(341\) | −8.41908 | − | 20.3255i | −0.455919 | − | 1.10069i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.44913 | − | 3.44913i | 0.186236 | − | 0.186236i | ||||
\(344\) | −10.3849 | + | 22.1852i | −0.559915 | + | 1.19615i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.15129 | + | 14.6367i | −0.115654 | + | 0.786875i | ||||
\(347\) | 10.0545 | + | 24.2737i | 0.539755 | + | 1.30308i | 0.924894 | + | 0.380225i | \(0.124153\pi\) |
−0.385140 | + | 0.922858i | \(0.625847\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.53157 | − | 3.11968i | −0.403156 | − | 0.166993i | 0.171886 | − | 0.985117i | \(-0.445014\pi\) |
−0.575041 | + | 0.818124i | \(0.695014\pi\) | |||||||
\(350\) | −2.22902 | − | 8.84887i | −0.119146 | − | 0.472992i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 16.4510 | − | 0.917733i | 0.876843 | − | 0.0489154i | ||||
\(353\) | 14.4403i | 0.768579i | 0.923213 | + | 0.384290i | \(0.125554\pi\) | ||||
−0.923213 | + | 0.384290i | \(0.874446\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.27128 | − | 3.06915i | 0.0674728 | − | 0.162894i | ||||
\(356\) | 16.1869 | + | 4.86333i | 0.857904 | + | 0.257756i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −24.3340 | − | 3.57659i | −1.28609 | − | 0.189029i | ||||
\(359\) | 1.26776 | − | 1.26776i | 0.0669099 | − | 0.0669099i | −0.672860 | − | 0.739770i | \(-0.734934\pi\) |
0.739770 | + | 0.672860i | \(0.234934\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.67204 | − | 3.67204i | −0.193265 | − | 0.193265i | ||||
\(362\) | −15.1277 | − | 20.3409i | −0.795095 | − | 1.06909i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 20.6752 | − | 25.3297i | 1.08367 | − | 1.32763i | ||||
\(365\) | −25.4656 | − | 10.5482i | −1.33293 | − | 0.552119i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.516344 | −0.0269529 | −0.0134765 | − | 0.999909i | \(-0.504290\pi\) | ||||
−0.0134765 | + | 0.999909i | \(0.504290\pi\) | |||||||
\(368\) | 2.91244 | − | 0.595423i | 0.151822 | − | 0.0310386i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −7.79139 | + | 13.0384i | −0.405055 | + | 0.677834i | ||||
\(371\) | 13.4658 | − | 32.5093i | 0.699110 | − | 1.68780i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.7829 | − | 6.53747i | 0.817205 | − | 0.338498i | 0.0653805 | − | 0.997860i | \(-0.479174\pi\) |
0.751825 | + | 0.659363i | \(0.229174\pi\) | |||||||
\(374\) | −14.9990 | − | 20.1678i | −0.775579 | − | 1.04285i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −17.9554 | + | 16.4046i | −0.925980 | + | 0.846003i | ||||
\(377\) | 12.4574 | + | 12.4574i | 0.641587 | + | 0.641587i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10.1190 | − | 4.19144i | 0.519780 | − | 0.215300i | −0.107340 | − | 0.994222i | \(-0.534233\pi\) |
0.627120 | + | 0.778922i | \(0.284233\pi\) | |||||||
\(380\) | −11.6785 | + | 6.28224i | −0.599096 | + | 0.322272i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.188444 | − | 0.748093i | −0.00964162 | − | 0.0382758i | ||||
\(383\) | 10.5915 | 0.541201 | 0.270601 | − | 0.962692i | \(-0.412778\pi\) | ||||
0.270601 | + | 0.962692i | \(0.412778\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.4691 | 0.941274 | ||||||||
\(386\) | 4.74935 | + | 18.8542i | 0.241736 | + | 0.959654i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.66321 | − | 3.04642i | 0.287506 | − | 0.154658i | ||||
\(389\) | −9.74428 | + | 4.03621i | −0.494054 | + | 0.204644i | −0.615778 | − | 0.787920i | \(-0.711158\pi\) |
0.121723 | + | 0.992564i | \(0.461158\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.20645 | − | 3.20645i | −0.162157 | − | 0.162157i | ||||
\(392\) | 11.7506 | − | 10.7357i | 0.593497 | − | 0.542237i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.42041 | + | 4.59911i | 0.172318 | + | 0.231700i | ||||
\(395\) | 19.5746 | − | 8.10808i | 0.984906 | − | 0.407962i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.26413 | + | 15.1230i | −0.314388 | + | 0.759000i | 0.685144 | + | 0.728408i | \(0.259739\pi\) |
−0.999532 | + | 0.0305919i | \(0.990261\pi\) | |||||||
\(398\) | −9.98128 | + | 16.7030i | −0.500316 | + | 0.837247i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.45483 | + | 7.11615i | 0.0727416 | + | 0.355808i | ||||
\(401\) | −9.54016 | −0.476413 | −0.238207 | − | 0.971215i | \(-0.576560\pi\) | ||||
−0.238207 | + | 0.971215i | \(0.576560\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 32.1042 | + | 13.2980i | 1.59922 | + | 0.662420i | ||||
\(404\) | −2.22769 | + | 2.72919i | −0.110832 | + | 0.135783i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 11.4842 | + | 15.4418i | 0.569953 | + | 0.766363i | ||||
\(407\) | 12.3964 | + | 12.3964i | 0.614465 | + | 0.614465i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.43887 | + | 9.43887i | −0.466722 | + | 0.466722i | −0.900851 | − | 0.434129i | \(-0.857056\pi\) |
0.434129 | + | 0.900851i | \(0.357056\pi\) | |||||||
\(410\) | 10.7482 | + | 1.57975i | 0.530814 | + | 0.0780185i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.301684 | − | 0.0906405i | −0.0148629 | − | 0.00446554i | ||||
\(413\) | −13.2683 | + | 32.0325i | −0.652890 | + | 1.57622i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.4464i | 1.00368i | ||||||||
\(416\) | −17.3488 | + | 19.3988i | −0.850596 | + | 0.951105i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.73873 | + | 14.8422i | 0.182867 | + | 0.725955i | ||||
\(419\) | −18.2081 | − | 7.54205i | −0.889525 | − | 0.368453i | −0.109342 | − | 0.994004i | \(-0.534874\pi\) |
−0.780183 | + | 0.625551i | \(0.784874\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.63758 | + | 18.4387i | 0.372233 | + | 0.898649i | 0.993371 | + | 0.114949i | \(0.0366704\pi\) |
−0.621139 | + | 0.783701i | \(0.713330\pi\) | |||||||
\(422\) | −2.85412 | + | 19.4186i | −0.138936 | + | 0.945280i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −11.8740 | + | 25.3665i | −0.576652 | + | 1.23190i | ||||
\(425\) | 7.83451 | − | 7.83451i | 0.380029 | − | 0.380029i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.02174 | + | 12.1235i | 0.243019 | + | 0.586700i | ||||
\(428\) | 4.91621 | − | 6.02297i | 0.237634 | − | 0.291131i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 11.2109 | − | 18.7607i | 0.540638 | − | 0.904722i | ||||
\(431\) | 15.7171i | 0.757067i | 0.925588 | + | 0.378534i | \(0.123572\pi\) | ||||
−0.925588 | + | 0.378534i | \(0.876428\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 2.04349i | − | 0.0982041i | −0.998794 | − | 0.0491020i | \(-0.984364\pi\) | ||
0.998794 | − | 0.0491020i | \(-0.0156360\pi\) | |||||||
\(434\) | 32.5835 | + | 19.4710i | 1.56406 | + | 0.934639i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.10720 | + | 30.7114i | 0.148808 | + | 1.47081i | ||||
\(437\) | 1.05676 | + | 2.55125i | 0.0505518 | + | 0.122043i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.47375 | + | 8.47375i | −0.404430 | + | 0.404430i | −0.879791 | − | 0.475361i | \(-0.842318\pi\) |
0.475361 | + | 0.879791i | \(0.342318\pi\) | |||||||
\(440\) | −14.6857 | − | 0.662818i | −0.700112 | − | 0.0315986i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 39.2770 | + | 5.77289i | 1.86822 | + | 0.274588i | ||||
\(443\) | −12.8153 | − | 30.9388i | −0.608873 | − | 1.46995i | −0.864228 | − | 0.503101i | \(-0.832192\pi\) |
0.255355 | − | 0.966847i | \(-0.417808\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −13.9320 | − | 5.77083i | −0.660440 | − | 0.273563i | ||||
\(446\) | −16.3906 | + | 4.12877i | −0.776116 | + | 0.195503i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −21.8307 | + | 18.2090i | −1.03140 | + | 0.860296i | ||||
\(449\) | − | 19.7880i | − | 0.933851i | −0.884297 | − | 0.466926i | \(-0.845362\pi\) | ||
0.884297 | − | 0.466926i | \(-0.154638\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.79839 | − | 11.5843i | 0.225947 | − | 0.545485i | ||||
\(452\) | 29.2420 | − | 15.7302i | 1.37543 | − | 0.739885i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.68536 | + | 11.4667i | −0.0790980 | + | 0.538159i | ||||
\(455\) | −20.6278 | + | 20.6278i | −0.967045 | + | 0.967045i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.46165 | + | 9.46165i | 0.442597 | + | 0.442597i | 0.892884 | − | 0.450287i | \(-0.148678\pi\) |
−0.450287 | + | 0.892884i | \(0.648678\pi\) | |||||||
\(458\) | 12.9491 | − | 9.63042i | 0.605074 | − | 0.450000i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.63879 | + | 0.266978i | −0.123034 | + | 0.0124479i | ||||
\(461\) | 8.16779 | + | 3.38321i | 0.380412 | + | 0.157572i | 0.564691 | − | 0.825302i | \(-0.308995\pi\) |
−0.184280 | + | 0.982874i | \(0.558995\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −39.2301 | −1.82318 | −0.911590 | − | 0.411101i | \(-0.865144\pi\) | ||||
−0.911590 | + | 0.411101i | \(0.865144\pi\) | |||||||
\(464\) | −8.57748 | − | 12.6906i | −0.398199 | − | 0.589148i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 28.5075 | + | 17.0353i | 1.32059 | + | 0.789147i | ||||
\(467\) | −6.94459 | + | 16.7657i | −0.321357 | + | 0.775825i | 0.677818 | + | 0.735230i | \(0.262926\pi\) |
−0.999176 | + | 0.0405959i | \(0.987074\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.462224 | − | 0.191459i | 0.0213435 | − | 0.00884078i | ||||
\(470\) | 17.4120 | − | 12.9495i | 0.803154 | − | 0.597314i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 11.6998 | − | 24.9944i | 0.538528 | − | 1.15046i | ||||
\(473\) | −17.8369 | − | 17.8369i | −0.820142 | − | 0.820142i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.23363 | + | 2.58205i | −0.286018 | + | 0.118473i | ||||
\(476\) | 41.5307 | + | 12.4778i | 1.90356 | + | 0.571920i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 27.1823 | − | 6.84718i | 1.24329 | − | 0.313183i | ||||
\(479\) | −10.6817 | −0.488058 | −0.244029 | − | 0.969768i | \(-0.578469\pi\) | ||||
−0.244029 | + | 0.969768i | \(0.578469\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −27.6905 | −1.26258 | ||||||||
\(482\) | −10.6797 | + | 2.69022i | −0.486449 | + | 0.122536i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.44808 | − | 4.81973i | 0.0658218 | − | 0.219079i | ||||
\(485\) | −5.30071 | + | 2.19563i | −0.240693 | + | 0.0996983i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.67417 | − | 7.67417i | −0.347750 | − | 0.347750i | 0.511521 | − | 0.859271i | \(-0.329082\pi\) |
−0.859271 | + | 0.511521i | \(0.829082\pi\) | |||||||
\(488\) | −3.55793 | − | 9.82022i | −0.161060 | − | 0.444541i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −11.3950 | + | 8.47458i | −0.514773 | + | 0.382842i | ||||
\(491\) | −38.6885 | + | 16.0253i | −1.74599 | + | 0.723212i | −0.747744 | + | 0.663987i | \(0.768863\pi\) |
−0.998245 | + | 0.0592250i | \(0.981137\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.94164 | + | 21.5870i | −0.402711 | + | 0.972231i | ||||
\(494\) | −20.7526 | − | 12.4012i | −0.933705 | − | 0.557957i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −25.2099 | − | 16.6517i | −1.13196 | − | 0.747683i | ||||
\(497\) | 6.61547 | 0.296745 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 18.1565 | + | 7.52067i | 0.812797 | + | 0.336671i | 0.750069 | − | 0.661359i | \(-0.230020\pi\) |
0.0627275 | + | 0.998031i | \(0.480020\pi\) | |||||||
\(500\) | −2.44853 | − | 24.2011i | −0.109501 | − | 1.08231i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 33.0549 | − | 24.5833i | 1.47531 | − | 1.09721i | ||||
\(503\) | 20.9341 | + | 20.9341i | 0.933405 | + | 0.933405i | 0.997917 | − | 0.0645124i | \(-0.0205492\pi\) |
−0.0645124 | + | 0.997917i | \(0.520549\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.22258 | − | 2.22258i | 0.0989036 | − | 0.0989036i | ||||
\(506\) | −0.445155 | + | 3.02870i | −0.0197895 | + | 0.134642i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 18.5195 | + | 34.4273i | 0.821671 | + | 1.52746i | ||||
\(509\) | −0.399075 | + | 0.963453i | −0.0176887 | + | 0.0427043i | −0.932477 | − | 0.361229i | \(-0.882357\pi\) |
0.914788 | + | 0.403933i | \(0.132357\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 54.8905i | − | 2.42821i | ||||||
\(512\) | 18.0121 | − | 13.6954i | 0.796030 | − | 0.605257i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.47828 | + | 2.13567i | −0.373961 | + | 0.0942003i | ||||
\(515\) | 0.259658 | + | 0.107554i | 0.0114419 | + | 0.00473940i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9.58447 | − | 23.1390i | −0.421525 | − | 1.01765i | ||||
\(518\) | −29.9258 | − | 4.39846i | −1.31486 | − | 0.193257i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 17.1424 | − | 15.6618i | 0.751744 | − | 0.686817i | ||||
\(521\) | −3.86359 | + | 3.86359i | −0.169267 | + | 0.169267i | −0.786657 | − | 0.617390i | \(-0.788190\pi\) |
0.617390 | + | 0.786657i | \(0.288190\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.40221 | − | 20.2847i | −0.367403 | − | 0.886989i | −0.994174 | − | 0.107786i | \(-0.965624\pi\) |
0.626771 | − | 0.779203i | \(-0.284376\pi\) | |||||||
\(524\) | −12.8639 | + | 1.30150i | −0.561963 | + | 0.0568561i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.12936 | + | 3.06517i | 0.223651 | + | 0.133648i | ||||
\(527\) | 46.0874i | 2.00760i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 22.4477i | − | 0.975987i | ||||||
\(530\) | 12.8185 | − | 21.4509i | 0.556799 | − | 0.931767i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −20.4580 | − | 16.6987i | −0.886969 | − | 0.723982i | ||||
\(533\) | 7.57908 | + | 18.2975i | 0.328286 | + | 0.792553i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.90494 | + | 4.90494i | −0.212059 | + | 0.212059i | ||||
\(536\) | −0.374407 | + | 0.135650i | −0.0161719 | + | 0.00585920i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.18226 | + | 21.6511i | −0.137197 | + | 0.933447i | ||||
\(539\) | 6.27241 | + | 15.1429i | 0.270172 | + | 0.652252i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.504857 | + | 0.209119i | 0.0217055 | + | 0.00899071i | 0.393510 | − | 0.919320i | \(-0.371261\pi\) |
−0.371804 | + | 0.928311i | \(0.621261\pi\) | |||||||
\(542\) | −1.46340 | − | 5.80948i | −0.0628585 | − | 0.249538i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −32.5752 | − | 11.4122i | −1.39665 | − | 0.489292i | ||||
\(545\) | − | 27.5409i | − | 1.17972i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11.9972 | − | 28.9639i | 0.512964 | − | 1.23841i | −0.429186 | − | 0.903216i | \(-0.641200\pi\) |
0.942151 | − | 0.335190i | \(-0.108800\pi\) | |||||||
\(548\) | 11.3482 | − | 37.7710i | 0.484773 | − | 1.61350i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −7.40020 | − | 1.08767i | −0.315546 | − | 0.0463786i | ||||
\(551\) | 10.0615 | − | 10.0615i | 0.428633 | − | 0.428633i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 29.8347 | + | 29.8347i | 1.26870 | + | 1.26870i | ||||
\(554\) | 1.49087 | + | 2.00464i | 0.0633411 | + | 0.0851689i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −20.6859 | − | 16.8848i | −0.877279 | − | 0.716073i | ||||
\(557\) | −3.31995 | − | 1.37517i | −0.140671 | − | 0.0582677i | 0.311238 | − | 0.950332i | \(-0.399257\pi\) |
−0.451908 | + | 0.892064i | \(0.649257\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 39.8433 | 1.68519 | ||||||||
\(560\) | 21.0140 | − | 14.2032i | 0.888005 | − | 0.600194i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.665088 | − | 1.11298i | 0.0280551 | − | 0.0469483i | ||||
\(563\) | 3.47196 | − | 8.38204i | 0.146325 | − | 0.353261i | −0.833675 | − | 0.552255i | \(-0.813767\pi\) |
0.980001 | + | 0.198994i | \(0.0637675\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −27.3703 | + | 11.3371i | −1.15148 | + | 0.476957i | ||||
\(566\) | −0.827594 | − | 1.11279i | −0.0347864 | − | 0.0467741i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.26028 | − | 0.237415i | −0.220716 | − | 0.00996173i | ||||
\(569\) | 2.72691 | + | 2.72691i | 0.114318 | + | 0.114318i | 0.761952 | − | 0.647634i | \(-0.224241\pi\) |
−0.647634 | + | 0.761952i | \(0.724241\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 30.8517 | − | 12.7792i | 1.29110 | − | 0.534792i | 0.371789 | − | 0.928317i | \(-0.378745\pi\) |
0.919314 | + | 0.393525i | \(0.128745\pi\) | |||||||
\(572\) | −12.6962 | − | 23.6020i | −0.530856 | − | 0.986848i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 5.28445 | + | 20.9785i | 0.220569 | + | 0.875625i | ||||
\(575\) | −1.34948 | −0.0562771 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −45.9313 | −1.91214 | −0.956072 | − | 0.293131i | \(-0.905303\pi\) | ||||
−0.956072 | + | 0.293131i | \(0.905303\pi\) | |||||||
\(578\) | 6.98862 | + | 27.7438i | 0.290688 | + | 1.15399i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.47430 | + | 12.0356i | 0.268831 | + | 0.499750i | ||||
\(581\) | −37.6176 | + | 15.5817i | −1.56064 | + | 0.646438i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −20.3946 | − | 20.3946i | −0.844658 | − | 0.844658i | ||||
\(584\) | −1.96990 | + | 43.6460i | −0.0815152 | + | 1.80608i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.52148 | − | 4.73501i | −0.145471 | − | 0.195601i | ||||
\(587\) | −11.3774 | + | 4.71269i | −0.469597 | + | 0.194514i | −0.604917 | − | 0.796288i | \(-0.706794\pi\) |
0.135320 | + | 0.990802i | \(0.456794\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.7404 | − | 25.9296i | 0.442551 | − | 1.06841i | ||||
\(590\) | −12.6305 | + | 21.1362i | −0.519988 | + | 0.870166i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 23.6376 | + | 4.57140i | 0.971498 | + | 0.187883i | ||||
\(593\) | −14.4266 | −0.592431 | −0.296216 | − | 0.955121i | \(-0.595725\pi\) | ||||
−0.296216 | + | 0.955121i | \(0.595725\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −35.7453 | − | 14.8062i | −1.46541 | − | 0.606994i | ||||
\(596\) | 5.22402 | + | 4.26407i | 0.213984 | + | 0.174663i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.88551 | − | 3.87987i | −0.117997 | − | 0.158660i | ||||
\(599\) | 11.4738 | + | 11.4738i | 0.468808 | + | 0.468808i | 0.901528 | − | 0.432720i | \(-0.142446\pi\) |
−0.432720 | + | 0.901528i | \(0.642446\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.94470 | + | 5.94470i | −0.242489 | + | 0.242489i | −0.817879 | − | 0.575390i | \(-0.804850\pi\) |
0.575390 | + | 0.817879i | \(0.304850\pi\) | |||||||
\(602\) | 43.0597 | + | 6.32887i | 1.75498 | + | 0.257945i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.18228 | − | 27.2336i | 0.332932 | − | 1.10812i | ||||
\(605\) | −1.71829 | + | 4.14832i | −0.0698585 | + | 0.168653i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.8701i | 0.928269i | 0.885765 | + | 0.464135i | \(0.153635\pi\) | ||||
−0.885765 | + | 0.464135i | \(0.846365\pi\) | |||||||
\(608\) | 15.6679 | + | 14.0121i | 0.635416 | + | 0.568268i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.27635 | + | 9.03675i | 0.0921666 | + | 0.365887i | ||||
\(611\) | 36.5481 | + | 15.1387i | 1.47858 | + | 0.612447i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.36341 | − | 12.9484i | −0.216626 | − | 0.522982i | 0.777788 | − | 0.628526i | \(-0.216342\pi\) |
−0.994415 | + | 0.105544i | \(0.966342\pi\) | |||||||
\(614\) | 1.06304 | − | 7.23258i | 0.0429007 | − | 0.291883i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −9.97212 | − | 27.5240i | −0.401788 | − | 1.10897i | ||||
\(617\) | −20.5540 | + | 20.5540i | −0.827474 | + | 0.827474i | −0.987167 | − | 0.159693i | \(-0.948950\pi\) |
0.159693 | + | 0.987167i | \(0.448950\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.42844 | − | 10.6912i | −0.177994 | − | 0.429716i | 0.809551 | − | 0.587049i | \(-0.199710\pi\) |
−0.987546 | + | 0.157333i | \(0.949710\pi\) | |||||||
\(620\) | 20.8828 | + | 17.0455i | 0.838675 | + | 0.684562i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.00252 | + | 10.0448i | −0.240679 | + | 0.402761i | ||||
\(623\) | − | 30.0301i | − | 1.20313i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 12.6236i | 0.504943i | ||||||||
\(626\) | −16.1034 | − | 9.62298i | −0.643623 | − | 0.384612i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −33.1178 | + | 3.35066i | −1.32154 | + | 0.133706i | ||||
\(629\) | −14.0542 | − | 33.9298i | −0.560378 | − | 1.35287i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.402845 | − | 0.402845i | 0.0160370 | − | 0.0160370i | −0.699043 | − | 0.715080i | \(-0.746390\pi\) |
0.715080 | + | 0.699043i | \(0.246390\pi\) | |||||||
\(632\) | −22.6522 | − | 24.7936i | −0.901058 | − | 0.986238i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −27.2737 | − | 4.00866i | −1.08318 | − | 0.159204i | ||||
\(635\) | −13.3475 | − | 32.2237i | −0.529678 | − | 1.27876i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −23.9183 | − | 9.90730i | −0.947679 | − | 0.392542i | ||||
\(638\) | 15.2959 | − | 3.85303i | 0.605572 | − | 0.152543i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −17.2190 | + | 10.5395i | −0.680639 | + | 0.416609i | ||||
\(641\) | 11.0551i | 0.436649i | 0.975876 | + | 0.218324i | \(0.0700591\pi\) | ||||
−0.975876 | + | 0.218324i | \(0.929941\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.8771 | − | 26.2596i | 0.428950 | − | 1.03558i | −0.550671 | − | 0.834722i | \(-0.685628\pi\) |
0.979621 | − | 0.200854i | \(-0.0643717\pi\) | |||||||
\(644\) | −2.50215 | − | 4.65142i | −0.0985983 | − | 0.183292i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.66260 | − | 31.7229i | 0.183448 | − | 1.24812i | ||||
\(647\) | 3.60517 | − | 3.60517i | 0.141734 | − | 0.141734i | −0.632680 | − | 0.774414i | \(-0.718045\pi\) |
0.774414 | + | 0.632680i | \(0.218045\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 20.0955 | + | 20.0955i | 0.788816 | + | 0.788816i | ||||
\(650\) | 9.47993 | − | 7.05033i | 0.371833 | − | 0.276537i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.22046 | + | 21.9469i | 0.0869600 | + | 0.859509i | ||||
\(653\) | −34.1322 | − | 14.1380i | −1.33570 | − | 0.553264i | −0.403423 | − | 0.915014i | \(-0.632180\pi\) |
−0.932275 | + | 0.361749i | \(0.882180\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.5359 | 0.450746 | ||||||||
\(656\) | −3.44905 | − | 16.8706i | −0.134663 | − | 0.658687i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 37.0938 | + | 22.1662i | 1.44607 | + | 0.864130i | ||||
\(659\) | 17.8965 | − | 43.2060i | 0.697150 | − | 1.68307i | −0.0327038 | − | 0.999465i | \(-0.510412\pi\) |
0.729854 | − | 0.683603i | \(-0.239588\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.26994 | + | 1.35446i | −0.127186 | + | 0.0526822i | −0.445369 | − | 0.895347i | \(-0.646927\pi\) |
0.318183 | + | 0.948029i | \(0.396927\pi\) | |||||||
\(662\) | 6.06423 | − | 4.51004i | 0.235693 | − | 0.175288i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 30.4707 | − | 11.0397i | 1.18249 | − | 0.428425i | ||||
\(665\) | 16.6605 | + | 16.6605i | 0.646065 | + | 0.646065i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.62925 | − | 1.08907i | 0.101805 | − | 0.0421690i | ||||
\(668\) | 9.05083 | − | 30.1244i | 0.350187 | − | 1.16555i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.344536 | − | 0.0867883i | 0.0133106 | − | 0.00335293i | ||||
\(671\) | 10.7560 | 0.415232 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31.8698 | 1.22849 | 0.614245 | − | 0.789115i | \(-0.289461\pi\) | ||||
0.614245 | + | 0.789115i | \(0.289461\pi\) | |||||||
\(674\) | −44.8891 | + | 11.3075i | −1.72906 | + | 0.435549i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 15.6403 | + | 4.69910i | 0.601550 | + | 0.180735i | ||||
\(677\) | −13.6153 | + | 5.63965i | −0.523279 | + | 0.216749i | −0.628657 | − | 0.777683i | \(-0.716395\pi\) |
0.105378 | + | 0.994432i | \(0.466395\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.07908 | − | 8.07908i | −0.310047 | − | 0.310047i | ||||
\(680\) | 27.8914 | + | 13.0559i | 1.06959 | + | 0.500672i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 24.9655 | − | 18.5671i | 0.955977 | − | 0.710971i | ||||
\(683\) | 24.0468 | − | 9.96050i | 0.920124 | − | 0.381128i | 0.128200 | − | 0.991748i | \(-0.459080\pi\) |
0.791923 | + | 0.610621i | \(0.209080\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.4658 | + | 32.5094i | −0.514503 | + | 1.24212i | ||||
\(686\) | 5.92155 | + | 3.53856i | 0.226086 | + | 0.135103i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −34.0117 | − | 6.57770i | −1.29668 | − | 0.250773i | ||||
\(689\) | 45.5566 | 1.73557 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −37.6111 | − | 15.5790i | −1.43079 | − | 0.592653i | −0.473245 | − | 0.880931i | \(-0.656917\pi\) |
−0.957547 | + | 0.288278i | \(0.906917\pi\) | |||||||
\(692\) | −20.8156 | + | 2.10600i | −0.791289 | + | 0.0800580i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −29.8151 | + | 22.1738i | −1.13176 | + | 0.841706i | ||||
\(695\) | 16.8461 | + | 16.8461i | 0.639008 | + | 0.639008i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −18.5737 | + | 18.5737i | −0.703528 | + | 0.703528i | ||||
\(698\) | 1.67648 | − | 11.4063i | 0.0634558 | − | 0.431734i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 11.3651 | − | 6.11364i | 0.429560 | − | 0.231074i | ||||
\(701\) | 9.53278 | − | 23.0142i | 0.360048 | − | 0.869233i | −0.635244 | − | 0.772312i | \(-0.719100\pi\) |
0.995292 | − | 0.0969216i | \(-0.0308996\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 22.3648i | 0.843505i | ||||||||
\(704\) | 6.94153 | + | 22.2435i | 0.261619 | + | 0.838333i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −19.8030 | + | 4.98836i | −0.745297 | + | 0.187740i | ||||
\(707\) | 5.78290 | + | 2.39536i | 0.217488 | + | 0.0900867i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.93081 | − | 4.66140i | −0.0725132 | − | 0.175062i | 0.883467 | − | 0.468493i | \(-0.155203\pi\) |
−0.955980 | + | 0.293431i | \(0.905203\pi\) | |||||||
\(710\) | 4.64812 | + | 0.683175i | 0.174441 | + | 0.0256391i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.07772 | + | 23.8783i | −0.0403891 | + | 0.894878i | ||||
\(713\) | 3.96923 | − | 3.96923i | 0.148649 | − | 0.148649i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 9.15050 | + | 22.0913i | 0.342209 | + | 0.826166i | ||||
\(716\) | −3.50129 | − | 34.6066i | −0.130849 | − | 1.29331i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.17652 | + | 1.30063i | 0.0812270 | + | 0.0485391i | ||||
\(719\) | 39.1090i | 1.45852i | 0.684237 | + | 0.729260i | \(0.260135\pi\) | ||||
−0.684237 | + | 0.729260i | \(0.739865\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.559686i | 0.0208438i | ||||||||
\(722\) | 3.76724 | − | 6.30423i | 0.140202 | − | 0.234619i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 22.6691 | − | 27.7725i | 0.842490 | − | 1.03216i | ||||
\(725\) | 2.66099 | + | 6.42420i | 0.0988268 | + | 0.238589i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.8274 | − | 17.8274i | 0.661183 | − | 0.661183i | −0.294476 | − | 0.955659i | \(-0.595145\pi\) |
0.955659 | + | 0.294476i | \(0.0951450\pi\) | |||||||
\(728\) | 41.8786 | + | 19.6033i | 1.55212 | + | 0.726547i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5.66850 | − | 38.5668i | 0.209801 | − | 1.42742i | ||||
\(731\) | 20.2223 | + | 48.8210i | 0.747950 | + | 1.80571i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.09283 | + | 1.28109i | 0.114236 | + | 0.0473182i | 0.439070 | − | 0.898453i | \(-0.355308\pi\) |
−0.324833 | + | 0.945771i | \(0.605308\pi\) | |||||||
\(734\) | −0.178370 | − | 0.708101i | −0.00658375 | − | 0.0261365i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.82264 | + | 3.78836i | 0.0671835 | + | 0.139641i | ||||
\(737\) | − | 0.410086i | − | 0.0151057i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.57114 | + | 20.6926i | −0.315295 | + | 0.761188i | 0.684197 | + | 0.729297i | \(0.260153\pi\) |
−0.999491 | + | 0.0318910i | \(0.989847\pi\) | |||||||
\(740\) | −20.5720 | − | 6.18083i | −0.756243 | − | 0.227212i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 49.2342 | + | 7.23639i | 1.80744 | + | 0.265656i | ||||
\(743\) | 30.6030 | − | 30.6030i | 1.12272 | − | 1.12272i | 0.131384 | − | 0.991332i | \(-0.458058\pi\) |
0.991332 | − | 0.131384i | \(-0.0419421\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.25430 | − | 4.25430i | −0.155866 | − | 0.155866i | ||||
\(746\) | 14.4175 | + | 19.3858i | 0.527861 | + | 0.709766i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 22.4762 | − | 27.5361i | 0.821810 | − | 1.00682i | ||||
\(749\) | −12.7621 | − | 5.28623i | −0.466317 | − | 0.193155i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.79523 | −0.357433 | −0.178716 | − | 0.983901i | \(-0.557194\pi\) | ||||
−0.178716 | + | 0.983901i | \(0.557194\pi\) | |||||||
\(752\) | −28.6995 | − | 18.9566i | −1.04656 | − | 0.691278i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −12.7803 | + | 21.3871i | −0.465433 | + | 0.778872i | ||||
\(755\) | −9.70910 | + | 23.4398i | −0.353350 | + | 0.853063i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.1531 | − | 4.20556i | 0.369021 | − | 0.152854i | −0.190463 | − | 0.981694i | \(-0.560999\pi\) |
0.559485 | + | 0.828841i | \(0.310999\pi\) | |||||||
\(758\) | 9.24363 | + | 12.4291i | 0.335744 | + | 0.451444i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −12.6496 | − | 13.8454i | −0.458850 | − | 0.502227i | ||||
\(761\) | −19.7195 | − | 19.7195i | −0.714832 | − | 0.714832i | 0.252710 | − | 0.967542i | \(-0.418678\pi\) |
−0.967542 | + | 0.252710i | \(0.918678\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 50.6701 | − | 20.9882i | 1.83438 | − | 0.759825i | ||||
\(764\) | 0.960818 | − | 0.516854i | 0.0347612 | − | 0.0186991i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.65881 | + | 14.5249i | 0.132198 | + | 0.524807i | ||||
\(767\) | −44.8884 | −1.62083 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −11.6440 | −0.419894 | −0.209947 | − | 0.977713i | \(-0.567329\pi\) | ||||
−0.209947 | + | 0.977713i | \(0.567329\pi\) | |||||||
\(770\) | 6.38011 | + | 25.3281i | 0.229923 | + | 0.912761i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −24.2155 | + | 13.0263i | −0.871535 | + | 0.468826i | ||||
\(773\) | 32.6494 | − | 13.5238i | 1.17432 | − | 0.486418i | 0.291700 | − | 0.956510i | \(-0.405779\pi\) |
0.882617 | + | 0.470092i | \(0.155779\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.69825 | + | 9.69825i | 0.348372 | + | 0.348372i | ||||
\(776\) | 6.13411 | + | 6.71400i | 0.220202 | + | 0.241018i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.90129 | − | 11.9687i | −0.319127 | − | 0.429100i | ||||
\(779\) | 14.7784 | − | 6.12140i | 0.529490 | − | 0.219322i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.07510 | − | 5.00972i | 0.0742528 | − | 0.179262i | ||||
\(782\) | 3.28958 | − | 5.50490i | 0.117635 | − | 0.196855i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 18.7820 | + | 12.4059i | 0.670784 | + | 0.443067i | ||||
\(785\) | 29.6989 | 1.06000 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.72873 | + | 1.95870i | 0.168561 | + | 0.0698203i | 0.465368 | − | 0.885117i | \(-0.345922\pi\) |
−0.296807 | + | 0.954937i | \(0.595922\pi\) | |||||||
\(788\) | −5.12553 | + | 6.27941i | −0.182589 | + | 0.223695i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 17.8812 | + | 24.0432i | 0.636185 | + | 0.855419i | ||||
\(791\) | −41.7164 | − | 41.7164i | −1.48326 | − | 1.48326i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −12.0132 | + | 12.0132i | −0.426600 | + | 0.426600i | ||||
\(794\) | −22.9032 | − | 3.36628i | −0.812803 | − | 0.119465i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −26.3541 | − | 7.91804i | −0.934096 | − | 0.280648i | ||||
\(797\) | −1.47493 | + | 3.56079i | −0.0522447 | + | 0.126130i | −0.947847 | − | 0.318726i | \(-0.896745\pi\) |
0.895602 | + | 0.444856i | \(0.146745\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 52.4669i | 1.85615i | ||||||||
\(800\) | −9.25633 | + | 4.45338i | −0.327261 | + | 0.157451i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −3.29563 | − | 13.0831i | −0.116373 | − | 0.461981i | ||||
\(803\) | −41.5671 | − | 17.2177i | −1.46687 | − | 0.607598i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.80336 | + | 4.35369i | 0.0635600 | + | 0.153447i | ||||
\(806\) | −7.14620 | + | 48.6206i | −0.251714 | + | 1.71259i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −4.51230 | − | 2.11220i | −0.158742 | − | 0.0743069i | ||||
\(809\) | 0.851642 | − | 0.851642i | 0.0299421 | − | 0.0299421i | −0.691977 | − | 0.721919i | \(-0.743260\pi\) |
0.721919 | + | 0.691977i | \(0.243260\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 11.0808 | + | 26.7515i | 0.389100 | + | 0.939371i | 0.990131 | + | 0.140145i | \(0.0447568\pi\) |
−0.601031 | + | 0.799226i | \(0.705243\pi\) | |||||||
\(812\) | −17.2093 | + | 21.0835i | −0.603926 | + | 0.739885i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −12.7178 | + | 21.2823i | −0.445757 | + | 0.745946i | ||||
\(815\) | − | 19.6813i | − | 0.689405i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 32.1803i | − | 1.12585i | ||||||
\(818\) | −16.2049 | − | 9.68358i | −0.566589 | − | 0.338579i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.54649 | + | 15.2855i | 0.0540059 | + | 0.533792i | ||||
\(821\) | 14.6802 | + | 35.4411i | 0.512342 | + | 1.23690i | 0.942517 | + | 0.334157i | \(0.108452\pi\) |
−0.430176 | + | 0.902745i | \(0.641548\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 23.7916 | − | 23.7916i | 0.829322 | − | 0.829322i | −0.158101 | − | 0.987423i | \(-0.550537\pi\) |
0.987423 | + | 0.158101i | \(0.0505370\pi\) | |||||||
\(824\) | 0.0200860 | − | 0.445033i | 0.000699728 | − | 0.0155035i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −48.5120 | − | 7.13025i | −1.68795 | − | 0.248093i | ||||
\(827\) | 6.95203 | + | 16.7837i | 0.241746 | + | 0.583626i | 0.997456 | − | 0.0712800i | \(-0.0227084\pi\) |
−0.755711 | + | 0.654906i | \(0.772708\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 17.6000 | + | 7.29015i | 0.611272 | + | 0.253197i | 0.666772 | − | 0.745261i | \(-0.267675\pi\) |
−0.0555001 | + | 0.998459i | \(0.517675\pi\) | |||||||
\(830\) | −28.0397 | + | 7.06317i | −0.973273 | + | 0.245166i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −32.5961 | − | 17.0904i | −1.13007 | − | 0.592505i | ||||
\(833\) | − | 34.3362i | − | 1.18968i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10.7397 | + | 25.9280i | −0.371663 | + | 0.897274i | ||||
\(836\) | −19.0626 | + | 10.2544i | −0.659295 | + | 0.354656i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 4.05302 | − | 27.5755i | 0.140009 | − | 0.952581i | ||||
\(839\) | 4.74463 | − | 4.74463i | 0.163803 | − | 0.163803i | −0.620446 | − | 0.784249i | \(-0.713048\pi\) |
0.784249 | + | 0.620446i | \(0.213048\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.1370 | + | 10.1370i | 0.349553 | + | 0.349553i | ||||
\(842\) | −22.6480 | + | 16.8436i | −0.780503 | + | 0.580469i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −27.6160 | + | 2.79403i | −0.950583 | + | 0.0961744i | ||||
\(845\) | −13.4616 | − | 5.57596i | −0.463092 | − | 0.191819i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −8.94160 | −0.307237 | ||||||||
\(848\) | −38.8887 | − | 7.52090i | −1.33544 | − | 0.258269i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 13.4504 | + | 8.03763i | 0.461347 | + | 0.275688i | ||||
\(851\) | −1.71177 | + | 4.13257i | −0.0586787 | + | 0.141663i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 21.3984 | − | 8.86349i | 0.732666 | − | 0.303480i | 0.0150190 | − | 0.999887i | \(-0.495219\pi\) |
0.717647 | + | 0.696407i | \(0.245219\pi\) | |||||||
\(854\) | −14.8912 | + | 11.0747i | −0.509565 | + | 0.378969i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.95804 | + | 4.66134i | 0.340359 | + | 0.159321i | ||||
\(857\) | 14.9755 | + | 14.9755i | 0.511554 | + | 0.511554i | 0.915003 | − | 0.403448i | \(-0.132188\pi\) |
−0.403448 | + | 0.915003i | \(0.632188\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.68023 | + | 1.52440i | −0.125568 | + | 0.0520119i | −0.444583 | − | 0.895738i | \(-0.646648\pi\) |
0.319015 | + | 0.947750i | \(0.396648\pi\) | |||||||
\(860\) | 29.6007 | + | 8.89349i | 1.00938 | + | 0.303265i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −21.5541 | + | 5.42944i | −0.734134 | + | 0.184928i | ||||
\(863\) | 52.6581 | 1.79250 | 0.896252 | − | 0.443545i | \(-0.146279\pi\) | ||||
0.896252 | + | 0.443545i | \(0.146279\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 18.6667 | 0.634687 | ||||||||
\(866\) | 2.80239 | − | 0.705920i | 0.0952292 | − | 0.0239881i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −15.4462 | + | 51.4104i | −0.524277 | + | 1.74498i | ||||
\(869\) | 31.9513 | − | 13.2347i | 1.08387 | − | 0.448955i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.458016 | + | 0.458016i | 0.0155193 | + | 0.0155193i | ||||
\(872\) | −41.0434 | + | 14.8703i | −1.38991 | + | 0.503572i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.13366 | + | 2.33054i | −0.105998 | + | 0.0788317i | ||||
\(875\) | −39.9289 | + | 16.5391i | −1.34984 | + | 0.559124i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.99743 | + | 12.0649i | −0.168751 | + | 0.407401i | −0.985519 | − | 0.169565i | \(-0.945764\pi\) |
0.816768 | + | 0.576966i | \(0.195764\pi\) | |||||||
\(878\) | −14.5479 | − | 8.69344i | −0.490968 | − | 0.293390i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.16416 | − | 20.3685i | −0.140374 | − | 0.686623i | ||||
\(881\) | −38.6516 | −1.30221 | −0.651103 | − | 0.758989i | \(-0.725694\pi\) | ||||
−0.651103 | + | 0.758989i | \(0.725694\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −10.8231 | − | 4.48306i | −0.364226 | − | 0.150867i | 0.193062 | − | 0.981186i | \(-0.438158\pi\) |
−0.557288 | + | 0.830319i | \(0.688158\pi\) | |||||||
\(884\) | 5.65135 | + | 55.8577i | 0.190076 | + | 1.87870i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 38.0017 | − | 28.2623i | 1.27669 | − | 0.949490i | ||||
\(887\) | 3.30593 | + | 3.30593i | 0.111002 | + | 0.111002i | 0.760426 | − | 0.649424i | \(-0.224990\pi\) |
−0.649424 | + | 0.760426i | \(0.724990\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 49.1137 | − | 49.1137i | 1.64722 | − | 1.64722i | ||||
\(890\) | 3.10118 | − | 21.0995i | 0.103952 | − | 0.707257i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −11.3242 | − | 21.0513i | −0.379161 | − | 0.704850i | ||||
\(893\) | 12.2271 | − | 29.5189i | 0.409165 | − | 0.987811i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 31.0340i | 1.03735i | ||||||||
\(896\) | −32.5128 | − | 23.6478i | −1.08618 | − | 0.790017i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 27.1367 | − | 6.83570i | 0.905563 | − | 0.228110i | ||||
\(899\) | −26.7224 | − | 11.0688i | −0.891241 | − | 0.369164i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 23.1221 | + | 55.8217i | 0.770309 | + | 1.85969i | ||||
\(902\) | 17.5440 | + | 2.57860i | 0.584153 | + | 0.0858581i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 31.6735 | + | 34.6678i | 1.05345 | + | 1.15303i | ||||
\(905\) | −22.6171 | + | 22.6171i | −0.751819 | + | 0.751819i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.0586 | + | 33.9405i | 0.466809 | + | 1.12698i | 0.965548 | + | 0.260225i | \(0.0837967\pi\) |
−0.498739 | + | 0.866752i | \(0.666203\pi\) | |||||||
\(908\) | −16.3073 | + | 1.64988i | −0.541178 | + | 0.0547532i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −35.4142 | − | 21.1626i | −1.17397 | − | 0.701533i | ||||
\(911\) | − | 28.5526i | − | 0.945990i | −0.881065 | − | 0.472995i | \(-0.843173\pi\) | ||
0.881065 | − | 0.472995i | \(-0.156827\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 33.3744i | 1.10453i | ||||||||
\(914\) | −9.70695 | + | 16.2440i | −0.321077 | + | 0.537302i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 17.6802 | + | 14.4313i | 0.584169 | + | 0.476824i | ||||
\(917\) | 8.79124 | + | 21.2239i | 0.290312 | + | 0.700876i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 14.1101 | − | 14.1101i | 0.465448 | − | 0.465448i | −0.434988 | − | 0.900436i | \(-0.643247\pi\) |
0.900436 | + | 0.434988i | \(0.143247\pi\) | |||||||
\(920\) | −1.27769 | − | 3.52654i | −0.0421242 | − | 0.116267i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.81810 | + | 12.3698i | −0.0598760 | + | 0.407378i | ||||
\(923\) | 3.27762 | + | 7.91289i | 0.107884 | + | 0.260456i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.0974 | − | 4.18247i | −0.331999 | − | 0.137519i | ||||
\(926\) | −13.5520 | − | 53.7992i | −0.445345 | − | 1.76795i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 14.4405 | − | 16.1469i | 0.474034 | − | 0.530047i | ||||
\(929\) | − | 1.88348i | − | 0.0617951i | −0.999523 | − | 0.0308975i | \(-0.990163\pi\) | ||
0.999523 | − | 0.0308975i | \(-0.00983656\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −8.00185 | + | 19.3182i | −0.262250 | + | 0.633127i | ||||
\(932\) | −13.5140 | + | 44.9793i | −0.442664 | + | 1.47335i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −25.3911 | − | 3.73195i | −0.830821 | − | 0.122113i | ||||
\(935\) | −22.4247 | + | 22.4247i | −0.733365 | + | 0.733365i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −15.2871 | − | 15.2871i | −0.499409 | − | 0.499409i | 0.411845 | − | 0.911254i | \(-0.364885\pi\) |
−0.911254 | + | 0.411845i | \(0.864885\pi\) | |||||||
\(938\) | 0.422237 | + | 0.567743i | 0.0137865 | + | 0.0185375i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 23.7735 | + | 19.4049i | 0.775405 | + | 0.632919i | ||||
\(941\) | 35.4271 | + | 14.6744i | 1.15489 | + | 0.478372i | 0.876171 | − | 0.482000i | \(-0.160090\pi\) |
0.278721 | + | 0.960372i | \(0.410090\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.19927 | 0.104183 | ||||||||
\(944\) | 38.3183 | + | 7.41059i | 1.24716 | + | 0.241194i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 18.2994 | − | 30.6228i | 0.594963 | − | 0.995633i | ||||
\(947\) | 8.28542 | − | 20.0028i | 0.269240 | − | 0.650003i | −0.730208 | − | 0.683225i | \(-0.760577\pi\) |
0.999448 | + | 0.0332221i | \(0.0105769\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 65.6555 | − | 27.1954i | 2.13127 | − | 0.882800i | ||||
\(950\) | −5.69435 | − | 7.65667i | −0.184749 | − | 0.248415i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.76509 | + | 61.2645i | −0.0896171 | + | 1.98559i | ||||
\(953\) | −27.6252 | − | 27.6252i | −0.894867 | − | 0.894867i | 0.100110 | − | 0.994976i | \(-0.468081\pi\) |
−0.994976 | + | 0.100110i | \(0.968081\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.899317 | + | 0.372509i | −0.0291012 | + | 0.0120541i | ||||
\(956\) | 18.7801 | + | 34.9117i | 0.607392 | + | 1.12913i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.68995 | − | 14.6486i | −0.119217 | − | 0.473273i | ||||
\(959\) | −70.0731 | −2.26278 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −26.0511 | −0.840358 | ||||||||
\(962\) | −9.56561 | − | 37.9740i | −0.308408 | − | 1.22433i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.37858 | − | 13.7166i | −0.237648 | − | 0.441782i | ||||
\(965\) | 22.6655 | − | 9.38836i | 0.729629 | − | 0.302222i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.5133 | − | 32.5133i | −1.04556 | − | 1.04556i | −0.998911 | − | 0.0466463i | \(-0.985147\pi\) |
−0.0466463 | − | 0.998911i | \(-0.514853\pi\) | |||||||
\(968\) | 7.10989 | + | 0.320895i | 0.228520 | + | 0.0103140i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.84214 | − | 6.51079i | −0.155472 | − | 0.209049i | ||||
\(971\) | 49.5609 | − | 20.5288i | 1.59048 | − | 0.658800i | 0.600455 | − | 0.799659i | \(-0.294986\pi\) |
0.990030 | + | 0.140859i | \(0.0449863\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −18.1556 | + | 43.8315i | −0.582042 | + | 1.40517i | ||||
\(974\) | 7.87313 | − | 13.1752i | 0.252271 | − | 0.422160i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 12.2381 | − | 8.27163i | 0.391733 | − | 0.264768i | ||||
\(977\) | 29.2129 | 0.934603 | 0.467301 | − | 0.884098i | \(-0.345226\pi\) | ||||
0.467301 | + | 0.884098i | \(0.345226\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −22.7410 | − | 9.41962i | −0.726805 | − | 0.301052i | ||||
\(980\) | −15.5582 | − | 12.6993i | −0.496988 | − | 0.405663i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −35.3415 | − | 47.5205i | −1.12779 | − | 1.51644i | ||||
\(983\) | 33.7320 | + | 33.7320i | 1.07588 | + | 1.07588i | 0.996874 | + | 0.0790094i | \(0.0251757\pi\) |
0.0790094 | + | 0.996874i | \(0.474824\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.11378 | − | 5.11378i | 0.162939 | − | 0.162939i | ||||
\(986\) | −32.6928 | − | 4.80515i | −1.04115 | − | 0.153027i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 9.83776 | − | 32.7436i | 0.312981 | − | 1.04171i | ||||
\(989\) | 2.46303 | − | 5.94629i | 0.0783199 | − | 0.189081i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 2.34392i | − | 0.0744571i | −0.999307 | − | 0.0372285i | \(-0.988147\pi\) | ||
0.999307 | − | 0.0372285i | \(-0.0118530\pi\) | |||||||
\(992\) | 14.1270 | − | 40.3245i | 0.448532 | − | 1.28030i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.28530 | + | 9.07229i | 0.0724853 | + | 0.287755i | ||||
\(995\) | 22.6829 | + | 9.39555i | 0.719095 | + | 0.297859i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −14.7502 | − | 35.6102i | −0.467145 | − | 1.12779i | −0.965404 | − | 0.260759i | \(-0.916027\pi\) |
0.498259 | − | 0.867028i | \(-0.333973\pi\) | |||||||
\(998\) | −4.04153 | + | 27.4974i | −0.127932 | + | 0.870413i | ||||
\(999\) | 0 | 0 |
(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 | 288.2.w.b.35.5 | yes | 32 | |
3.2 | odd | 2 | 288.2.w.a.35.4 | ✓ | 32 | ||
4.3 | odd | 2 | 1152.2.w.a.431.6 | 32 | |||
12.11 | even | 2 | 1152.2.w.b.431.3 | 32 | |||
32.11 | odd | 8 | 288.2.w.a.107.4 | yes | 32 | ||
32.21 | even | 8 | 1152.2.w.b.719.3 | 32 | |||
96.11 | even | 8 | inner | 288.2.w.b.107.5 | yes | 32 | |
96.53 | odd | 8 | 1152.2.w.a.719.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.w.a.35.4 | ✓ | 32 | 3.2 | odd | 2 | ||
288.2.w.a.107.4 | yes | 32 | 32.11 | odd | 8 | ||
288.2.w.b.35.5 | yes | 32 | 1.1 | even | 1 | trivial | |
288.2.w.b.107.5 | yes | 32 | 96.11 | even | 8 | inner | |
1152.2.w.a.431.6 | 32 | 4.3 | odd | 2 | |||
1152.2.w.a.719.6 | 32 | 96.53 | odd | 8 | |||
1152.2.w.b.431.3 | 32 | 12.11 | even | 2 | |||
1152.2.w.b.719.3 | 32 | 32.21 | even | 8 |