Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(269,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.269");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.ch (of order \(6\), degree \(2\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.16 | ||
Character | \(\chi\) | \(=\) | 504.269 |
Dual form | 504.2.ch.b.341.16 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.174271 | − | 1.40343i | 0.123228 | − | 0.992378i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.93926 | − | 0.489157i | −0.969630 | − | 0.244578i | ||||
\(5\) | −1.00441 | + | 0.579896i | −0.449185 | + | 0.259337i | −0.707486 | − | 0.706727i | \(-0.750171\pi\) |
0.258301 | + | 0.966065i | \(0.416837\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.24394 | + | 2.33508i | 0.470166 | + | 0.882578i | ||||
\(8\) | −1.02446 | + | 2.63638i | −0.362200 | + | 0.932100i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.638806 | + | 1.51068i | 0.202008 | + | 0.477719i | ||||
\(11\) | −1.41560 | + | 2.45188i | −0.426818 | + | 0.739271i | −0.996588 | − | 0.0825332i | \(-0.973699\pi\) |
0.569770 | + | 0.821804i | \(0.307032\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.11725 | 0.864571 | 0.432285 | − | 0.901737i | \(-0.357707\pi\) | ||||
0.432285 | + | 0.901737i | \(0.357707\pi\) | |||||||
\(14\) | 3.49392 | − | 1.33886i | 0.933789 | − | 0.357824i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.52145 | + | 1.89720i | 0.880363 | + | 0.474301i | ||||
\(17\) | −0.782206 | + | 1.35482i | −0.189713 | + | 0.328592i | −0.945154 | − | 0.326624i | \(-0.894089\pi\) |
0.755442 | + | 0.655216i | \(0.227422\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.15042 | + | 3.72463i | 0.493340 | + | 0.854489i | 0.999971 | − | 0.00767364i | \(-0.00244262\pi\) |
−0.506631 | + | 0.862163i | \(0.669109\pi\) | |||||||
\(20\) | 2.23147 | − | 0.633255i | 0.498972 | − | 0.141600i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.19436 | + | 2.41399i | 0.681040 | + | 0.514664i | ||||
\(23\) | 4.05782 | − | 2.34278i | 0.846114 | − | 0.488504i | −0.0132237 | − | 0.999913i | \(-0.504209\pi\) |
0.859338 | + | 0.511408i | \(0.170876\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.82744 | + | 3.16522i | −0.365488 | + | 0.633044i | ||||
\(26\) | 0.543248 | − | 4.37486i | 0.106540 | − | 0.857981i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.27011 | − | 5.13681i | −0.240028 | − | 0.970766i | ||||
\(29\) | −4.08861 | −0.759235 | −0.379618 | − | 0.925143i | \(-0.623944\pi\) | ||||
−0.379618 | + | 0.925143i | \(0.623944\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.40452 | + | 1.38825i | 0.431865 | + | 0.249337i | 0.700141 | − | 0.714005i | \(-0.253121\pi\) |
−0.268276 | + | 0.963342i | \(0.586454\pi\) | |||||||
\(32\) | 3.27629 | − | 4.61150i | 0.579171 | − | 0.815206i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.76509 | + | 1.33388i | 0.302710 | + | 0.228759i | ||||
\(35\) | −2.60353 | − | 1.62402i | −0.440077 | − | 0.274509i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.96358 | − | 2.86572i | 0.816008 | − | 0.471122i | −0.0330302 | − | 0.999454i | \(-0.510516\pi\) |
0.849038 | + | 0.528332i | \(0.177182\pi\) | |||||||
\(38\) | 5.60204 | − | 2.36888i | 0.908770 | − | 0.384282i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.499851 | − | 3.24208i | −0.0790334 | − | 0.512618i | ||||
\(41\) | 2.19421 | 0.342678 | 0.171339 | − | 0.985212i | \(-0.445191\pi\) | ||||
0.171339 | + | 0.985212i | \(0.445191\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.52977i | 0.995781i | 0.867240 | + | 0.497891i | \(0.165892\pi\) | ||||
−0.867240 | + | 0.497891i | \(0.834108\pi\) | |||||||
\(44\) | 3.94456 | − | 4.06239i | 0.594665 | − | 0.612429i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.58078 | − | 6.10317i | −0.380516 | − | 0.899863i | ||||
\(47\) | −5.34609 | − | 9.25971i | −0.779808 | − | 1.35067i | −0.932052 | − | 0.362324i | \(-0.881983\pi\) |
0.152244 | − | 0.988343i | \(-0.451350\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.90521 | + | 5.80942i | −0.557887 | + | 0.829917i | ||||
\(50\) | 4.12371 | + | 3.11630i | 0.583181 | + | 0.440712i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −6.04516 | − | 1.52483i | −0.838313 | − | 0.211455i | ||||
\(53\) | −5.61902 | + | 9.73242i | −0.771831 | + | 1.33685i | 0.164727 | + | 0.986339i | \(0.447326\pi\) |
−0.936558 | + | 0.350512i | \(0.886008\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 3.28359i | − | 0.442760i | ||||||
\(56\) | −7.43052 | + | 0.887315i | −0.992945 | + | 0.118572i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.712527 | + | 5.73810i | −0.0935593 | + | 0.753449i | ||||
\(59\) | 11.9042 | + | 6.87289i | 1.54980 | + | 0.894775i | 0.998157 | + | 0.0606912i | \(0.0193305\pi\) |
0.551638 | + | 0.834083i | \(0.314003\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.09458 | − | 8.82407i | −0.652294 | − | 1.12981i | −0.982565 | − | 0.185920i | \(-0.940474\pi\) |
0.330271 | − | 0.943886i | \(-0.392860\pi\) | |||||||
\(62\) | 2.36736 | − | 3.13266i | 0.300655 | − | 0.397848i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.90098 | − | 5.40171i | −0.737622 | − | 0.675214i | ||||
\(65\) | −3.13100 | + | 1.80768i | −0.388352 | + | 0.224215i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.01037 | + | 2.89274i | 0.612114 | + | 0.353404i | 0.773793 | − | 0.633439i | \(-0.218357\pi\) |
−0.161678 | + | 0.986844i | \(0.551691\pi\) | |||||||
\(68\) | 2.17962 | − | 2.24473i | 0.264318 | − | 0.272213i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.73293 | + | 3.37087i | −0.326647 | + | 0.402896i | ||||
\(71\) | 4.72781i | 0.561088i | 0.959841 | + | 0.280544i | \(0.0905149\pi\) | ||||
−0.959841 | + | 0.280544i | \(0.909485\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −14.0619 | − | 8.11863i | −1.64582 | − | 0.950213i | −0.978709 | − | 0.205254i | \(-0.934198\pi\) |
−0.667109 | − | 0.744960i | \(-0.732469\pi\) | |||||||
\(74\) | −3.15685 | − | 7.46547i | −0.366976 | − | 0.867844i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.34829 | − | 8.27492i | −0.269367 | − | 0.949198i | ||||
\(77\) | −7.48627 | − | 0.255528i | −0.853140 | − | 0.0291201i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.89324 | + | 5.01124i | 0.325515 | + | 0.563809i | 0.981617 | − | 0.190864i | \(-0.0611289\pi\) |
−0.656101 | + | 0.754673i | \(0.727796\pi\) | |||||||
\(80\) | −4.63716 | + | 0.136508i | −0.518450 | + | 0.0152620i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.382388 | − | 3.07943i | 0.0422277 | − | 0.340066i | ||||
\(83\) | 5.93150i | 0.651066i | 0.945531 | + | 0.325533i | \(0.105544\pi\) | ||||
−0.945531 | + | 0.325533i | \(0.894456\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 1.81439i | − | 0.196798i | ||||||
\(86\) | 9.16411 | + | 1.13795i | 0.988192 | + | 0.122708i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.01388 | − | 6.24390i | −0.534481 | − | 0.665601i | ||||
\(89\) | −1.33902 | − | 2.31925i | −0.141936 | − | 0.245840i | 0.786290 | − | 0.617858i | \(-0.211999\pi\) |
−0.928226 | + | 0.372018i | \(0.878666\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.87769 | + | 7.27904i | 0.406492 | + | 0.763051i | ||||
\(92\) | −9.01515 | + | 2.55836i | −0.939895 | + | 0.266727i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −13.9271 | + | 5.88919i | −1.43647 | + | 0.607424i | ||||
\(95\) | −4.31980 | − | 2.49404i | −0.443202 | − | 0.255883i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 11.2024i | − | 1.13743i | −0.822534 | − | 0.568716i | \(-0.807440\pi\) | ||
0.822534 | − | 0.568716i | \(-0.192560\pi\) | |||||||
\(98\) | 7.47257 | + | 6.49312i | 0.754844 | + | 0.655905i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.09217 | − | 5.24428i | 0.509217 | − | 0.524428i | ||||
\(101\) | 0.473259 | + | 0.273236i | 0.0470911 | + | 0.0271880i | 0.523361 | − | 0.852111i | \(-0.324678\pi\) |
−0.476270 | + | 0.879299i | \(0.658011\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.0391 | − | 7.52810i | 1.28478 | − | 0.741766i | 0.307059 | − | 0.951691i | \(-0.400655\pi\) |
0.977718 | + | 0.209925i | \(0.0673219\pi\) | |||||||
\(104\) | −3.19349 | + | 8.21826i | −0.313148 | + | 0.805867i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.6796 | + | 9.58201i | 1.23155 | + | 0.930687i | ||||
\(107\) | −1.42284 | − | 2.46443i | −0.137551 | − | 0.238246i | 0.789018 | − | 0.614370i | \(-0.210590\pi\) |
−0.926569 | + | 0.376125i | \(0.877256\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.806006 | + | 0.465348i | 0.0772014 | + | 0.0445722i | 0.538104 | − | 0.842879i | \(-0.319141\pi\) |
−0.460902 | + | 0.887451i | \(0.652474\pi\) | |||||||
\(110\) | −4.60831 | − | 0.572236i | −0.439385 | − | 0.0545605i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.0496374 | + | 10.5829i | −0.00469030 | + | 0.999989i | ||||
\(113\) | 13.9228i | 1.30974i | 0.755741 | + | 0.654871i | \(0.227277\pi\) | ||||
−0.755741 | + | 0.654871i | \(0.772723\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.71714 | + | 4.70623i | −0.253375 | + | 0.438858i | ||||
\(116\) | 7.92887 | + | 1.99997i | 0.736177 | + | 0.185692i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 11.7202 | − | 15.5090i | 1.07893 | − | 1.42772i | ||||
\(119\) | −4.13663 | − | 0.141195i | −0.379205 | − | 0.0129434i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.49218 | + | 2.58452i | 0.135652 | + | 0.234957i | ||||
\(122\) | −13.2718 | + | 5.61213i | −1.20158 | + | 0.508098i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.98392 | − | 3.86836i | −0.357766 | − | 0.347389i | ||||
\(125\) | − | 10.0379i | − | 0.897813i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.15135 | −0.190901 | −0.0954506 | − | 0.995434i | \(-0.530429\pi\) | ||||
−0.0954506 | + | 0.995434i | \(0.530429\pi\) | |||||||
\(128\) | −8.60932 | + | 7.34028i | −0.760963 | + | 0.648795i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.99132 | + | 4.70918i | 0.174650 | + | 0.413022i | ||||
\(131\) | 10.5792 | − | 6.10788i | 0.924306 | − | 0.533648i | 0.0392997 | − | 0.999227i | \(-0.487487\pi\) |
0.885006 | + | 0.465579i | \(0.154154\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.02233 | + | 9.65463i | −0.522202 | + | 0.837163i | ||||
\(134\) | 4.93294 | − | 6.52761i | 0.426141 | − | 0.563900i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.77048 | − | 3.45014i | −0.237567 | − | 0.295847i | ||||
\(137\) | −8.51773 | − | 4.91771i | −0.727718 | − | 0.420148i | 0.0898684 | − | 0.995954i | \(-0.471355\pi\) |
−0.817587 | + | 0.575805i | \(0.804689\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −17.6445 | −1.49658 | −0.748292 | − | 0.663369i | \(-0.769126\pi\) | ||||
−0.748292 | + | 0.663369i | \(0.769126\pi\) | |||||||
\(140\) | 4.25452 | + | 4.42293i | 0.359573 | + | 0.373806i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.63518 | + | 0.823922i | 0.556812 | + | 0.0691420i | ||||
\(143\) | −4.41277 | + | 7.64315i | −0.369015 | + | 0.639152i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.10663 | − | 2.37097i | 0.341037 | − | 0.196898i | ||||
\(146\) | −13.8445 | + | 18.3201i | −1.14578 | + | 1.51618i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −11.0275 | + | 3.12941i | −0.906451 | + | 0.257236i | ||||
\(149\) | −4.88010 | − | 8.45259i | −0.399794 | − | 0.692463i | 0.593906 | − | 0.804534i | \(-0.297585\pi\) |
−0.993700 | + | 0.112071i | \(0.964252\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.13984 | − | 3.70631i | 0.174138 | − | 0.301615i | −0.765725 | − | 0.643168i | \(-0.777620\pi\) |
0.939862 | + | 0.341553i | \(0.110953\pi\) | |||||||
\(152\) | −12.0226 | + | 1.85359i | −0.975158 | + | 0.150346i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.66326 | + | 10.4620i | −0.134029 | + | 0.843049i | ||||
\(155\) | −3.22016 | −0.258650 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 12.1053 | − | 20.9671i | 0.966111 | − | 1.67335i | 0.259512 | − | 0.965740i | \(-0.416438\pi\) |
0.706599 | − | 0.707614i | \(-0.250228\pi\) | |||||||
\(158\) | 7.53716 | − | 3.18716i | 0.599625 | − | 0.253557i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.616543 | + | 6.53174i | −0.0487420 | + | 0.516379i | ||||
\(161\) | 10.5183 | + | 6.56105i | 0.828957 | + | 0.517083i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.81820 | + | 4.51384i | −0.612369 | + | 0.353551i | −0.773892 | − | 0.633318i | \(-0.781693\pi\) |
0.161523 | + | 0.986869i | \(0.448359\pi\) | |||||||
\(164\) | −4.25514 | − | 1.07331i | −0.332271 | − | 0.0838116i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.32447 | + | 1.03369i | 0.646104 | + | 0.0802298i | ||||
\(167\) | 16.2972 | 1.26112 | 0.630559 | − | 0.776142i | \(-0.282826\pi\) | ||||
0.630559 | + | 0.776142i | \(0.282826\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.28273 | −0.252518 | ||||||||
\(170\) | −2.54638 | − | 0.316196i | −0.195298 | − | 0.0242511i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.19408 | − | 12.6629i | 0.243546 | − | 0.965539i | ||||
\(173\) | −0.0240052 | + | 0.0138594i | −0.00182508 | + | 0.00105371i | −0.500912 | − | 0.865498i | \(-0.667002\pi\) |
0.499087 | + | 0.866552i | \(0.333669\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.66429 | − | 0.329870i | −0.730551 | − | 0.0249358i | ||||
\(176\) | −9.63667 | + | 5.94852i | −0.726392 | + | 0.448387i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.48827 | + | 1.47505i | −0.261457 | + | 0.110560i | ||||
\(179\) | 2.39577 | − | 4.14959i | 0.179068 | − | 0.310155i | −0.762493 | − | 0.646996i | \(-0.776025\pi\) |
0.941562 | + | 0.336841i | \(0.109358\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.03270 | −0.522736 | −0.261368 | − | 0.965239i | \(-0.584174\pi\) | ||||
−0.261368 | + | 0.965239i | \(0.584174\pi\) | |||||||
\(182\) | 10.8914 | − | 4.17355i | 0.807327 | − | 0.309364i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.01940 | + | 13.0980i | 0.148872 | + | 0.965600i | ||||
\(185\) | −3.32364 | + | 5.75672i | −0.244359 | + | 0.423242i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.21457 | − | 3.83576i | −0.161946 | − | 0.280498i | ||||
\(188\) | 5.83801 | + | 20.5720i | 0.425781 | + | 1.50037i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.25303 | + | 5.62792i | −0.308547 | + | 0.408292i | ||||
\(191\) | 11.9817 | − | 6.91767i | 0.866969 | − | 0.500545i | 0.000629171 | − | 1.00000i | \(-0.499800\pi\) |
0.866340 | + | 0.499455i | \(0.166466\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.10467 | + | 3.64540i | −0.151498 | + | 0.262402i | −0.931778 | − | 0.363028i | \(-0.881743\pi\) |
0.780280 | + | 0.625430i | \(0.215076\pi\) | |||||||
\(194\) | −15.7219 | − | 1.95226i | −1.12876 | − | 0.140164i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.4149 | − | 9.35570i | 0.743924 | − | 0.668265i | ||||
\(197\) | 24.3528 | 1.73507 | 0.867534 | − | 0.497378i | \(-0.165704\pi\) | ||||
0.867534 | + | 0.497378i | \(0.165704\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.63996 | − | 0.946831i | −0.116254 | − | 0.0671191i | 0.440746 | − | 0.897632i | \(-0.354714\pi\) |
−0.556999 | + | 0.830513i | \(0.688047\pi\) | |||||||
\(200\) | −6.47259 | − | 8.06046i | −0.457681 | − | 0.569961i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.465945 | − | 0.616571i | 0.0327838 | − | 0.0433818i | ||||
\(203\) | −5.08600 | − | 9.54723i | −0.356967 | − | 0.670084i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.20389 | + | 1.27241i | −0.153926 | + | 0.0888692i | ||||
\(206\) | −8.29287 | − | 19.6114i | −0.577792 | − | 1.36639i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 10.9773 | + | 5.91406i | 0.761136 | + | 0.410066i | ||||
\(209\) | −12.1765 | −0.842266 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 25.0597i | − | 1.72518i | −0.505901 | − | 0.862592i | \(-0.668840\pi\) | ||
0.505901 | − | 0.862592i | \(-0.331160\pi\) | |||||||
\(212\) | 15.6574 | − | 16.1251i | 1.07536 | − | 1.10748i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.70663 | + | 1.56738i | −0.253380 | + | 0.107144i | ||||
\(215\) | −3.78659 | − | 6.55856i | −0.258243 | − | 0.447290i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.250592 | + | 7.34166i | −0.0170113 | + | 0.498384i | ||||
\(218\) | 0.793549 | − | 1.05008i | 0.0537459 | − | 0.0711204i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.60619 | + | 6.36774i | −0.108289 | + | 0.429313i | ||||
\(221\) | −2.43833 | + | 4.22332i | −0.164020 | + | 0.284091i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.42532i | 0.631166i | 0.948898 | + | 0.315583i | \(0.102200\pi\) | ||||
−0.948898 | + | 0.315583i | \(0.897800\pi\) | |||||||
\(224\) | 14.8437 | + | 1.91396i | 0.991789 | + | 0.127882i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 19.5397 | + | 2.42633i | 1.29976 | + | 0.161397i | ||||
\(227\) | 16.0967 | + | 9.29346i | 1.06838 | + | 0.616829i | 0.927738 | − | 0.373232i | \(-0.121750\pi\) |
0.140641 | + | 0.990061i | \(0.455084\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.7016 | − | 23.7319i | −0.905428 | − | 1.56825i | −0.820342 | − | 0.571874i | \(-0.806217\pi\) |
−0.0850862 | − | 0.996374i | \(-0.527117\pi\) | |||||||
\(230\) | 6.13136 | + | 4.63349i | 0.404290 | + | 0.305523i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.18860 | − | 10.7791i | 0.274995 | − | 0.707684i | ||||
\(233\) | 21.0326 | − | 12.1432i | 1.37789 | − | 0.795526i | 0.385987 | − | 0.922504i | \(-0.373861\pi\) |
0.991906 | + | 0.126978i | \(0.0405278\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.7393 | + | 6.20035i | 0.700556 | + | 0.404466i | ||||
\(236\) | −19.7234 | − | 19.1513i | −1.28388 | − | 1.24665i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.919055 | + | 5.78089i | −0.0595735 | + | 0.374719i | ||||
\(239\) | − | 2.35413i | − | 0.152276i | −0.997097 | − | 0.0761380i | \(-0.975741\pi\) | ||
0.997097 | − | 0.0761380i | \(-0.0242590\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.2904 | + | 6.51850i | 0.727277 | + | 0.419893i | 0.817425 | − | 0.576035i | \(-0.195401\pi\) |
−0.0901483 | + | 0.995928i | \(0.528734\pi\) | |||||||
\(242\) | 3.88725 | − | 1.64376i | 0.249882 | − | 0.105665i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.56336 | + | 19.6042i | 0.356157 | + | 1.25503i | ||||
\(245\) | 0.553574 | − | 8.09964i | 0.0353665 | − | 0.517467i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.70340 | + | 11.6106i | 0.426527 | + | 0.738767i | ||||
\(248\) | −6.12328 | + | 4.91702i | −0.388829 | + | 0.312231i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −14.0875 | − | 1.74931i | −0.890971 | − | 0.110636i | ||||
\(251\) | − | 24.0484i | − | 1.51792i | −0.651136 | − | 0.758961i | \(-0.725707\pi\) | ||
0.651136 | − | 0.758961i | \(-0.274293\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.2657i | 0.834010i | ||||||||
\(254\) | −0.374918 | + | 3.01928i | −0.0235244 | + | 0.189446i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.80125 | + | 13.3618i | 0.550078 | + | 0.835113i | ||||
\(257\) | 6.72517 | + | 11.6483i | 0.419504 | + | 0.726603i | 0.995890 | − | 0.0905752i | \(-0.0288706\pi\) |
−0.576385 | + | 0.817178i | \(0.695537\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.8661 | + | 8.02557i | 0.799461 | + | 0.498684i | ||||
\(260\) | 6.95605 | − | 1.97402i | 0.431396 | − | 0.122423i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −6.72837 | − | 15.9116i | −0.415680 | − | 0.983022i | ||||
\(263\) | 1.35260 | + | 0.780923i | 0.0834048 | + | 0.0481538i | 0.541122 | − | 0.840944i | \(-0.318000\pi\) |
−0.457718 | + | 0.889098i | \(0.651333\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 13.0338i | − | 0.800658i | ||||||
\(266\) | 12.5001 | + | 10.1345i | 0.766432 | + | 0.621384i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −8.30141 | − | 8.06063i | −0.507089 | − | 0.492381i | ||||
\(269\) | 14.3499 | + | 8.28490i | 0.874927 | + | 0.505139i | 0.868982 | − | 0.494843i | \(-0.164774\pi\) |
0.00594471 | + | 0.999982i | \(0.498108\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.9658 | − | 6.90846i | 0.726871 | − | 0.419659i | −0.0904054 | − | 0.995905i | \(-0.528816\pi\) |
0.817276 | + | 0.576246i | \(0.195483\pi\) | |||||||
\(272\) | −5.32487 | + | 3.28693i | −0.322867 | + | 0.199299i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.38608 | + | 11.0971i | −0.506622 | + | 0.670398i | ||||
\(275\) | −5.17384 | − | 8.96135i | −0.311994 | − | 0.540390i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.6351 | + | 6.71750i | 0.699083 | + | 0.403616i | 0.807006 | − | 0.590544i | \(-0.201087\pi\) |
−0.107923 | + | 0.994159i | \(0.534420\pi\) | |||||||
\(278\) | −3.07492 | + | 24.7629i | −0.184422 | + | 1.48518i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.94873 | − | 5.20016i | 0.415266 | − | 0.310769i | ||||
\(281\) | − | 27.9830i | − | 1.66933i | −0.550761 | − | 0.834663i | \(-0.685662\pi\) | ||
0.550761 | − | 0.834663i | \(-0.314338\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.68568 | − | 16.7761i | 0.575754 | − | 0.997235i | −0.420205 | − | 0.907429i | \(-0.638042\pi\) |
0.995959 | − | 0.0898063i | \(-0.0286248\pi\) | |||||||
\(284\) | 2.31264 | − | 9.16846i | 0.137230 | − | 0.544048i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.95764 | + | 7.52502i | 0.588808 | + | 0.444964i | ||||
\(287\) | 2.72947 | + | 5.12366i | 0.161116 | + | 0.302440i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.27631 | + | 12.6029i | 0.428018 | + | 0.741349i | ||||
\(290\) | −2.61183 | − | 6.17658i | −0.153372 | − | 0.362702i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 23.2983 | + | 22.6226i | 1.36343 | + | 1.32389i | ||||
\(293\) | − | 24.4475i | − | 1.42824i | −0.700024 | − | 0.714119i | \(-0.746827\pi\) | ||
0.700024 | − | 0.714119i | \(-0.253173\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −15.9422 | −0.928193 | ||||||||
\(296\) | 2.47016 | + | 16.0217i | 0.143575 | + | 0.931241i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −12.7131 | + | 5.37587i | −0.736451 | + | 0.311416i | ||||
\(299\) | 12.6493 | − | 7.30305i | 0.731525 | − | 0.422346i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −15.2476 | + | 8.12267i | −0.878855 | + | 0.468183i | ||||
\(302\) | −4.82865 | − | 3.64903i | −0.277858 | − | 0.209978i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.506210 | + | 17.1959i | 0.0290331 | + | 0.986252i | ||||
\(305\) | 10.2341 | + | 5.90865i | 0.586001 | + | 0.338328i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −27.0446 | −1.54352 | −0.771758 | − | 0.635917i | \(-0.780622\pi\) | ||||
−0.771758 | + | 0.635917i | \(0.780622\pi\) | |||||||
\(308\) | 14.3928 | + | 4.15749i | 0.820107 | + | 0.236895i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.561182 | + | 4.51929i | −0.0318730 | + | 0.256678i | ||||
\(311\) | −0.276139 | + | 0.478286i | −0.0156584 | + | 0.0271211i | −0.873748 | − | 0.486378i | \(-0.838318\pi\) |
0.858090 | + | 0.513499i | \(0.171651\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.5478 | + | 7.82183i | −0.765768 | + | 0.442116i | −0.831363 | − | 0.555730i | \(-0.812439\pi\) |
0.0655951 | + | 0.997846i | \(0.479105\pi\) | |||||||
\(314\) | −27.3163 | − | 20.6430i | −1.54155 | − | 1.16495i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.15947 | − | 11.1334i | −0.177734 | − | 0.626300i | ||||
\(317\) | −6.33699 | − | 10.9760i | −0.355921 | − | 0.616472i | 0.631355 | − | 0.775494i | \(-0.282499\pi\) |
−0.987275 | + | 0.159022i | \(0.949166\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.78782 | − | 10.0248i | 0.324056 | − | 0.561281i | ||||
\(320\) | 9.05942 | + | 2.00357i | 0.506437 | + | 0.112003i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.0410 | − | 13.6183i | 0.615293 | − | 0.758920i | ||||
\(323\) | −6.72828 | −0.374371 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.69660 | + | 9.86680i | −0.315991 | + | 0.547312i | ||||
\(326\) | 4.97240 | + | 11.7590i | 0.275396 | + | 0.651269i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.24787 | + | 5.78477i | −0.124118 | + | 0.319411i | ||||
\(329\) | 14.9719 | − | 24.0021i | 0.825429 | − | 1.32328i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.26793 | − | 1.30939i | 0.124657 | − | 0.0719706i | −0.436375 | − | 0.899765i | \(-0.643738\pi\) |
0.561032 | + | 0.827794i | \(0.310405\pi\) | |||||||
\(332\) | 2.90143 | − | 11.5027i | 0.159237 | − | 0.631293i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.84014 | − | 22.8721i | 0.155405 | − | 1.25151i | ||||
\(335\) | −6.70995 | −0.366604 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 34.9446 | 1.90356 | 0.951778 | − | 0.306788i | \(-0.0992542\pi\) | ||||
0.951778 | + | 0.306788i | \(0.0992542\pi\) | |||||||
\(338\) | −0.572085 | + | 4.60709i | −0.0311173 | + | 0.250593i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.887521 | + | 3.51857i | −0.0481326 | + | 0.190821i | ||||
\(341\) | −6.80766 | + | 3.93040i | −0.368656 | + | 0.212843i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.4233 | − | 1.89241i | −0.994766 | − | 0.102180i | ||||
\(344\) | −17.2150 | − | 6.68947i | −0.928168 | − | 0.360672i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.0152674 | + | 0.0361051i | 0.000820780 | + | 0.00194102i | ||||
\(347\) | −16.7205 | + | 28.9607i | −0.897602 | + | 1.55469i | −0.0670515 | + | 0.997750i | \(0.521359\pi\) |
−0.830551 | + | 0.556943i | \(0.811974\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 7.32611 | 0.392158 | 0.196079 | − | 0.980588i | \(-0.437179\pi\) | ||||
0.196079 | + | 0.980588i | \(0.437179\pi\) | |||||||
\(350\) | −2.14716 | + | 13.5057i | −0.114770 | + | 0.721911i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.66897 | + | 14.5611i | 0.355457 | + | 0.776109i | ||||
\(353\) | −13.9297 | + | 24.1269i | −0.741402 | + | 1.28415i | 0.210454 | + | 0.977604i | \(0.432506\pi\) |
−0.951857 | + | 0.306543i | \(0.900828\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.74164 | − | 4.74866i | −0.145511 | − | 0.252033i | ||||
\(356\) | 1.46223 | + | 5.15262i | 0.0774981 | + | 0.273088i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.40617 | − | 4.08546i | −0.285725 | − | 0.215923i | ||||
\(359\) | −15.6201 | + | 9.01825i | −0.824396 | + | 0.475965i | −0.851930 | − | 0.523656i | \(-0.824568\pi\) |
0.0275343 | + | 0.999621i | \(0.491234\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.251405 | − | 0.435447i | 0.0132319 | − | 0.0229182i | ||||
\(362\) | −1.22560 | + | 9.86994i | −0.0644159 | + | 0.518752i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.95925 | − | 16.0127i | −0.207521 | − | 0.839296i | ||||
\(365\) | 18.8318 | 0.985703 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.16683 | + | 2.40572i | 0.217507 | + | 0.125578i | 0.604795 | − | 0.796381i | \(-0.293255\pi\) |
−0.387288 | + | 0.921959i | \(0.626588\pi\) | |||||||
\(368\) | 18.7342 | − | 0.551493i | 0.976585 | − | 0.0287486i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.49996 | + | 5.66775i | 0.389904 | + | 0.294652i | ||||
\(371\) | −29.7157 | − | 1.01428i | −1.54276 | − | 0.0526590i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.589575 | − | 0.340391i | 0.0305270 | − | 0.0176248i | −0.484659 | − | 0.874703i | \(-0.661056\pi\) |
0.515186 | + | 0.857078i | \(0.327723\pi\) | |||||||
\(374\) | −5.76917 | + | 2.43955i | −0.298317 | + | 0.126146i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 29.8889 | − | 4.60816i | 1.54140 | − | 0.237648i | ||||
\(377\) | −12.7452 | −0.656413 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 23.7081i | − | 1.21780i | −0.793245 | − | 0.608902i | \(-0.791610\pi\) | ||
0.793245 | − | 0.608902i | \(-0.208390\pi\) | |||||||
\(380\) | 7.15723 | + | 6.94964i | 0.367158 | + | 0.356509i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.62042 | − | 18.0212i | −0.389895 | − | 0.922043i | ||||
\(383\) | 16.7429 | + | 28.9996i | 0.855522 | + | 1.48181i | 0.876160 | + | 0.482021i | \(0.160097\pi\) |
−0.0206373 | + | 0.999787i | \(0.506570\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.66746 | − | 4.08460i | 0.390770 | − | 0.208171i | ||||
\(386\) | 4.74930 | + | 3.58906i | 0.241733 | + | 0.182679i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −5.47973 | + | 21.7244i | −0.278191 | + | 1.10289i | ||||
\(389\) | −11.7772 | + | 20.3988i | −0.597130 | + | 1.03426i | 0.396113 | + | 0.918202i | \(0.370359\pi\) |
−0.993243 | + | 0.116057i | \(0.962974\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.33015i | 0.370702i | ||||||||
\(392\) | −11.3151 | − | 16.2471i | −0.571499 | − | 0.820603i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.24400 | − | 34.1776i | 0.213810 | − | 1.72184i | ||||
\(395\) | −5.81200 | − | 3.35556i | −0.292433 | − | 0.168836i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.7489 | + | 22.0817i | 0.639849 | + | 1.10825i | 0.985466 | + | 0.169875i | \(0.0543364\pi\) |
−0.345617 | + | 0.938376i | \(0.612330\pi\) | |||||||
\(398\) | −1.61461 | + | 2.13657i | −0.0809332 | + | 0.107097i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −12.4403 | + | 7.67915i | −0.622016 | + | 0.383958i | ||||
\(401\) | −10.2818 | + | 5.93623i | −0.513451 | + | 0.296441i | −0.734251 | − | 0.678878i | \(-0.762467\pi\) |
0.220800 | + | 0.975319i | \(0.429133\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.49550 | + | 4.32753i | 0.373378 | + | 0.215570i | ||||
\(404\) | −0.784117 | − | 0.761374i | −0.0390113 | − | 0.0378798i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −14.2853 | + | 5.47406i | −0.708966 | + | 0.271673i | ||||
\(407\) | 16.2268i | 0.804334i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.46727 | − | 2.57918i | −0.220892 | − | 0.127532i | 0.385471 | − | 0.922720i | \(-0.374039\pi\) |
−0.606363 | + | 0.795188i | \(0.707372\pi\) | |||||||
\(410\) | 1.40168 | + | 3.31475i | 0.0692238 | + | 0.163704i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −28.9685 | + | 8.22080i | −1.42718 | + | 0.405010i | ||||
\(413\) | −1.24062 | + | 36.3468i | −0.0610469 | + | 1.78851i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.43965 | − | 5.95765i | −0.168846 | − | 0.292449i | ||||
\(416\) | 10.2130 | − | 14.3752i | 0.500735 | − | 0.704803i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.12201 | + | 17.0889i | −0.103791 | + | 0.835846i | ||||
\(419\) | 8.63546i | 0.421870i | 0.977500 | + | 0.210935i | \(0.0676508\pi\) | ||||
−0.977500 | + | 0.210935i | \(0.932349\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 37.2303i | 1.81449i | 0.420599 | + | 0.907247i | \(0.361820\pi\) | ||||
−0.420599 | + | 0.907247i | \(0.638180\pi\) | |||||||
\(422\) | −35.1697 | − | 4.36719i | −1.71203 | − | 0.212591i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −19.9019 | − | 24.7843i | −0.966522 | − | 1.20363i | ||||
\(425\) | −2.85887 | − | 4.95171i | −0.138676 | − | 0.240193i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.2676 | − | 22.8729i | 0.690455 | − | 1.10690i | ||||
\(428\) | 1.55376 | + | 5.47516i | 0.0751040 | + | 0.264652i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.86441 | + | 4.17126i | −0.475704 | + | 0.201156i | ||||
\(431\) | −7.24374 | − | 4.18217i | −0.348919 | − | 0.201448i | 0.315290 | − | 0.948995i | \(-0.397898\pi\) |
−0.664209 | + | 0.747547i | \(0.731231\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 7.63673i | − | 0.366998i | −0.983020 | − | 0.183499i | \(-0.941258\pi\) | ||
0.983020 | − | 0.183499i | \(-0.0587424\pi\) | |||||||
\(434\) | 10.2599 | + | 1.63113i | 0.492489 | + | 0.0782967i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.33543 | − | 1.29669i | −0.0639553 | − | 0.0621003i | ||||
\(437\) | 17.4520 | + | 10.0759i | 0.834843 | + | 0.481997i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.42793 | + | 4.86587i | −0.402243 | + | 0.232235i | −0.687451 | − | 0.726230i | \(-0.741271\pi\) |
0.285208 | + | 0.958466i | \(0.407937\pi\) | |||||||
\(440\) | 8.65679 | + | 3.36390i | 0.412696 | + | 0.160367i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.50222 | + | 4.15804i | 0.261714 | + | 0.197778i | ||||
\(443\) | 10.9352 | + | 18.9404i | 0.519549 | + | 0.899885i | 0.999742 | + | 0.0227221i | \(0.00723330\pi\) |
−0.480193 | + | 0.877163i | \(0.659433\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.68985 | + | 1.55299i | 0.127511 | + | 0.0736186i | ||||
\(446\) | 13.2278 | + | 1.64256i | 0.626356 | + | 0.0777775i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 5.27295 | − | 20.4987i | 0.249123 | − | 0.968472i | ||||
\(449\) | − | 16.6555i | − | 0.786020i | −0.919534 | − | 0.393010i | \(-0.871434\pi\) | ||
0.919534 | − | 0.393010i | \(-0.128566\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.10612 | + | 5.37995i | −0.146261 | + | 0.253332i | ||||
\(452\) | 6.81040 | − | 26.9998i | 0.320334 | − | 1.26996i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 15.8480 | − | 20.9712i | 0.743782 | − | 0.984225i | ||||
\(455\) | −8.11587 | − | 5.06248i | −0.380478 | − | 0.237333i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −10.3145 | − | 17.8652i | −0.482490 | − | 0.835698i | 0.517307 | − | 0.855800i | \(-0.326934\pi\) |
−0.999798 | + | 0.0201016i | \(0.993601\pi\) | |||||||
\(458\) | −35.6940 | + | 15.0935i | −1.66787 | + | 0.705275i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 7.57132 | − | 7.79748i | 0.353015 | − | 0.363560i | ||||
\(461\) | − | 31.5292i | − | 1.46846i | −0.678901 | − | 0.734230i | \(-0.737543\pi\) | ||
0.678901 | − | 0.734230i | \(-0.262457\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −40.3843 | −1.87682 | −0.938409 | − | 0.345526i | \(-0.887701\pi\) | ||||
−0.938409 | + | 0.345526i | \(0.887701\pi\) | |||||||
\(464\) | −14.3978 | − | 7.75692i | −0.668403 | − | 0.360106i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −13.3768 | − | 31.6341i | −0.619668 | − | 1.46542i | ||||
\(467\) | −10.1585 | + | 5.86499i | −0.470077 | + | 0.271399i | −0.716272 | − | 0.697821i | \(-0.754153\pi\) |
0.246195 | + | 0.969220i | \(0.420820\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.522166 | + | 15.2980i | −0.0241114 | + | 0.706398i | ||||
\(470\) | 10.5733 | − | 13.9914i | 0.487712 | − | 0.645375i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −30.3149 | + | 24.3430i | −1.39536 | + | 1.12048i | ||||
\(473\) | −16.0103 | − | 9.24352i | −0.736152 | − | 0.425018i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −15.7191 | −0.721240 | ||||||||
\(476\) | 7.95294 | + | 2.29728i | 0.364522 | + | 0.105295i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.30387 | − | 0.410257i | −0.151115 | − | 0.0187647i | ||||
\(479\) | 0.299198 | − | 0.518227i | 0.0136707 | − | 0.0236784i | −0.859109 | − | 0.511792i | \(-0.828982\pi\) |
0.872780 | + | 0.488114i | \(0.162315\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.4727 | − | 8.93319i | 0.705496 | − | 0.407318i | ||||
\(482\) | 11.1159 | − | 14.7093i | 0.506314 | − | 0.669991i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.62948 | − | 5.74197i | −0.0740672 | − | 0.260998i | ||||
\(485\) | 6.49623 | + | 11.2518i | 0.294979 | + | 0.510918i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.3961 | + | 18.0065i | −0.471090 | + | 0.815952i | −0.999453 | − | 0.0330665i | \(-0.989473\pi\) |
0.528363 | + | 0.849019i | \(0.322806\pi\) | |||||||
\(488\) | 28.4827 | − | 4.39136i | 1.28935 | − | 0.198788i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −11.2709 | − | 2.18844i | −0.509165 | − | 0.0988636i | ||||
\(491\) | −22.4435 | −1.01286 | −0.506430 | − | 0.862281i | \(-0.669035\pi\) | ||||
−0.506430 | + | 0.862281i | \(0.669035\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.19813 | − | 5.53933i | 0.144037 | − | 0.249479i | ||||
\(494\) | 17.4630 | − | 7.38439i | 0.785696 | − | 0.332239i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.83361 | + | 9.45052i | 0.261937 | + | 0.424341i | ||||
\(497\) | −11.0398 | + | 5.88113i | −0.495204 | + | 0.263805i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.2264 | − | 5.90424i | 0.457799 | − | 0.264310i | −0.253320 | − | 0.967383i | \(-0.581522\pi\) |
0.711118 | + | 0.703072i | \(0.248189\pi\) | |||||||
\(500\) | −4.91008 | + | 19.4660i | −0.219586 | + | 0.870546i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −33.7504 | − | 4.19095i | −1.50635 | − | 0.187051i | ||||
\(503\) | −3.08281 | −0.137456 | −0.0687278 | − | 0.997635i | \(-0.521894\pi\) | ||||
−0.0687278 | + | 0.997635i | \(0.521894\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.633794 | −0.0282035 | ||||||||
\(506\) | 18.6176 | + | 2.31184i | 0.827654 | + | 0.102774i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.17202 | + | 1.05235i | 0.185104 | + | 0.0466903i | ||||
\(509\) | 3.99141 | − | 2.30444i | 0.176916 | − | 0.102143i | −0.408927 | − | 0.912567i | \(-0.634097\pi\) |
0.585843 | + | 0.810425i | \(0.300764\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.46549 | − | 42.9347i | 0.0648293 | − | 1.89932i | ||||
\(512\) | 20.2862 | − | 10.0234i | 0.896534 | − | 0.442976i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 17.5197 | − | 7.40837i | 0.772760 | − | 0.326769i | ||||
\(515\) | −8.73103 | + | 15.1226i | −0.384735 | + | 0.666381i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 30.2716 | 1.33135 | ||||||||
\(518\) | 13.5056 | − | 16.6581i | 0.593400 | − | 0.731916i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.55816 | − | 10.1064i | −0.0683300 | − | 0.443194i | ||||
\(521\) | 19.2542 | − | 33.3493i | 0.843542 | − | 1.46106i | −0.0433388 | − | 0.999060i | \(-0.513799\pi\) |
0.886881 | − | 0.461998i | \(-0.152867\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.3439 | + | 33.5046i | 0.845849 | + | 1.46505i | 0.884882 | + | 0.465815i | \(0.154239\pi\) |
−0.0390332 | + | 0.999238i | \(0.512428\pi\) | |||||||
\(524\) | −23.5035 | + | 6.66990i | −1.02675 | + | 0.291376i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.33169 | − | 1.76219i | 0.0580646 | − | 0.0768352i | ||||
\(527\) | −3.76166 | + | 2.17180i | −0.163860 | + | 0.0946049i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.522727 | + | 0.905390i | −0.0227273 | + | 0.0393648i | ||||
\(530\) | −18.2921 | − | 2.27141i | −0.794556 | − | 0.0986638i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 16.4015 | − | 15.7770i | 0.711094 | − | 0.684019i | ||||
\(533\) | 6.83991 | 0.296270 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.85823 | + | 1.65020i | 0.123572 | + | 0.0713443i | ||||
\(536\) | −12.7593 | + | 10.2458i | −0.551116 | + | 0.442549i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 14.1281 | − | 18.6953i | 0.609105 | − | 0.806011i | ||||
\(539\) | −8.71582 | − | 17.7989i | −0.375417 | − | 0.766654i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.9474 | + | 14.4034i | −1.07257 | + | 0.619249i | −0.928883 | − | 0.370374i | \(-0.879230\pi\) |
−0.143688 | + | 0.989623i | \(0.545896\pi\) | |||||||
\(542\) | −7.61028 | − | 17.9972i | −0.326890 | − | 0.773045i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.68502 | + | 8.04592i | 0.157994 | + | 0.344966i | ||||
\(545\) | −1.07941 | −0.0462370 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 26.0874i | − | 1.11541i | −0.830038 | − | 0.557707i | \(-0.811681\pi\) | ||
0.830038 | − | 0.557707i | \(-0.188319\pi\) | |||||||
\(548\) | 14.1125 | + | 13.7032i | 0.602858 | + | 0.585372i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −13.4783 | + | 5.69944i | −0.574718 | + | 0.243025i | ||||
\(551\) | −8.79222 | − | 15.2286i | −0.374561 | − | 0.648759i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.10263 | + | 12.9897i | −0.344559 | + | 0.552377i | ||||
\(554\) | 11.4552 | − | 15.1584i | 0.486686 | − | 0.644018i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 34.2172 | + | 8.63091i | 1.45113 | + | 0.366032i | ||||
\(557\) | −11.2896 | + | 19.5542i | −0.478357 | + | 0.828538i | −0.999692 | − | 0.0248137i | \(-0.992101\pi\) |
0.521335 | + | 0.853352i | \(0.325434\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 20.3550i | 0.860923i | ||||||||
\(560\) | −6.08712 | − | 10.6583i | −0.257228 | − | 0.450397i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −39.2723 | − | 4.87663i | −1.65660 | − | 0.205708i | ||||
\(563\) | 15.9160 | + | 9.18909i | 0.670778 | + | 0.387274i | 0.796371 | − | 0.604808i | \(-0.206750\pi\) |
−0.125593 | + | 0.992082i | \(0.540083\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −8.07374 | − | 13.9841i | −0.339665 | − | 0.588317i | ||||
\(566\) | −21.8562 | − | 16.5168i | −0.918686 | − | 0.694254i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −12.4643 | − | 4.84344i | −0.522991 | − | 0.203226i | ||||
\(569\) | −16.3033 | + | 9.41272i | −0.683470 | + | 0.394602i | −0.801161 | − | 0.598449i | \(-0.795784\pi\) |
0.117691 | + | 0.993050i | \(0.462451\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.34839 | + | 1.35584i | 0.0982770 | + | 0.0567403i | 0.548333 | − | 0.836260i | \(-0.315263\pi\) |
−0.450056 | + | 0.893000i | \(0.648596\pi\) | |||||||
\(572\) | 12.2962 | − | 12.6635i | 0.514130 | − | 0.529488i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.66639 | − | 2.93773i | 0.319989 | − | 0.122619i | ||||
\(575\) | 17.1252i | 0.714170i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15.8080 | + | 9.12677i | 0.658097 | + | 0.379952i | 0.791551 | − | 0.611103i | \(-0.209274\pi\) |
−0.133455 | + | 0.991055i | \(0.542607\pi\) | |||||||
\(578\) | 18.9555 | − | 8.01550i | 0.788443 | − | 0.333401i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −9.12360 | + | 2.58913i | −0.378837 | + | 0.107508i | ||||
\(581\) | −13.8505 | + | 7.37844i | −0.574617 | + | 0.306109i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.9085 | − | 27.5544i | −0.658863 | − | 1.14119i | ||||
\(584\) | 35.8095 | − | 28.7552i | 1.48181 | − | 1.18990i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −34.3105 | − | 4.26049i | −1.41735 | − | 0.175999i | ||||
\(587\) | 32.5679i | 1.34422i | 0.740451 | + | 0.672110i | \(0.234612\pi\) | ||||
−0.740451 | + | 0.672110i | \(0.765388\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.9413i | 0.492032i | ||||||||
\(590\) | −2.77827 | + | 22.3739i | −0.114380 | + | 0.921119i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 22.9159 | − | 0.674593i | 0.941836 | − | 0.0277256i | ||||
\(593\) | 15.3152 | + | 26.5267i | 0.628920 | + | 1.08932i | 0.987769 | + | 0.155925i | \(0.0498359\pi\) |
−0.358849 | + | 0.933396i | \(0.616831\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.23675 | − | 2.25700i | 0.173690 | − | 0.0925279i | ||||
\(596\) | 5.32915 | + | 18.7789i | 0.218290 | + | 0.769214i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.04496 | − | 19.0251i | −0.328983 | − | 0.777995i | ||||
\(599\) | −28.4250 | − | 16.4112i | −1.16141 | − | 0.670543i | −0.209772 | − | 0.977750i | \(-0.567272\pi\) |
−0.951643 | + | 0.307207i | \(0.900606\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.73393i | 0.233892i | 0.993138 | + | 0.116946i | \(0.0373104\pi\) | ||||
−0.993138 | + | 0.116946i | \(0.962690\pi\) | |||||||
\(602\) | 8.74243 | + | 22.8145i | 0.356315 | + | 0.929850i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −5.96267 | + | 6.14078i | −0.242618 | + | 0.249865i | ||||
\(605\) | −2.99751 | − | 1.73061i | −0.121866 | − | 0.0703594i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.62054 | − | 2.66767i | 0.187542 | − | 0.108277i | −0.403289 | − | 0.915073i | \(-0.632133\pi\) |
0.590831 | + | 0.806795i | \(0.298800\pi\) | |||||||
\(608\) | 24.2215 | + | 2.28632i | 0.982313 | + | 0.0927224i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.0759 | − | 13.3332i | 0.407961 | − | 0.539844i | ||||
\(611\) | −16.6651 | − | 28.8649i | −0.674199 | − | 1.16775i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.763004 | + | 0.440521i | 0.0308174 | + | 0.0177925i | 0.515330 | − | 0.856992i | \(-0.327670\pi\) |
−0.484512 | + | 0.874785i | \(0.661003\pi\) | |||||||
\(614\) | −4.71309 | + | 37.9553i | −0.190205 | + | 1.53175i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.34303 | − | 19.4749i | 0.336150 | − | 0.784665i | ||||
\(617\) | − | 33.3940i | − | 1.34439i | −0.740373 | − | 0.672196i | \(-0.765351\pi\) | ||
0.740373 | − | 0.672196i | \(-0.234649\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.347094 | + | 0.601184i | −0.0139509 | + | 0.0241636i | −0.872917 | − | 0.487870i | \(-0.837774\pi\) |
0.858966 | + | 0.512033i | \(0.171108\pi\) | |||||||
\(620\) | 6.24473 | + | 1.57516i | 0.250794 | + | 0.0632601i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.623121 | + | 0.470894i | 0.0249849 | + | 0.0188811i | ||||
\(623\) | 3.74998 | − | 6.01174i | 0.150240 | − | 0.240855i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.31630 | − | 5.74400i | −0.132652 | − | 0.229760i | ||||
\(626\) | 8.61644 | + | 20.3766i | 0.344382 | + | 0.814412i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −33.7316 | + | 34.7392i | −1.34604 | + | 1.38624i | ||||
\(629\) | 8.96634i | 0.357511i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.67584 | 0.146333 | 0.0731664 | − | 0.997320i | \(-0.476690\pi\) | ||||
0.0731664 | + | 0.997320i | \(0.476690\pi\) | |||||||
\(632\) | −16.1755 | + | 2.49388i | −0.643428 | + | 0.0992013i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −16.5084 | + | 6.98075i | −0.655633 | + | 0.277241i | ||||
\(635\) | 2.16083 | − | 1.24756i | 0.0857500 | − | 0.0495078i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.1735 | + | 18.1094i | −0.482333 | + | 0.717522i | ||||
\(638\) | −13.0605 | − | 9.86986i | −0.517070 | − | 0.390751i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 4.39068 | − | 12.3651i | 0.173557 | − | 0.488775i | ||||
\(641\) | 20.9407 | + | 12.0901i | 0.827108 | + | 0.477531i | 0.852862 | − | 0.522137i | \(-0.174865\pi\) |
−0.0257532 | + | 0.999668i | \(0.508198\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.82797 | 0.308705 | 0.154352 | − | 0.988016i | \(-0.450671\pi\) | ||||
0.154352 | + | 0.988016i | \(0.450671\pi\) | |||||||
\(644\) | −17.1883 | − | 17.8687i | −0.677314 | − | 0.704124i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.17254 | + | 9.44270i | −0.0461332 | + | 0.371518i | ||||
\(647\) | 8.30976 | − | 14.3929i | 0.326690 | − | 0.565844i | −0.655163 | − | 0.755488i | \(-0.727400\pi\) |
0.981853 | + | 0.189644i | \(0.0607333\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −33.7031 | + | 19.4585i | −1.32296 | + | 0.763812i | ||||
\(650\) | 12.8547 | + | 9.71431i | 0.504201 | + | 0.381026i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 17.3695 | − | 4.92918i | 0.680242 | − | 0.193042i | ||||
\(653\) | 10.0211 | + | 17.3571i | 0.392158 | + | 0.679237i | 0.992734 | − | 0.120331i | \(-0.0383954\pi\) |
−0.600576 | + | 0.799568i | \(0.705062\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.08387 | + | 12.2696i | −0.276790 | + | 0.479414i | ||||
\(656\) | 7.72681 | + | 4.16286i | 0.301681 | + | 0.162532i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −31.0762 | − | 25.1950i | −1.21148 | − | 0.982204i | ||||
\(659\) | −5.53973 | −0.215797 | −0.107899 | − | 0.994162i | \(-0.534412\pi\) | ||||
−0.107899 | + | 0.994162i | \(0.534412\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.8650 | − | 25.7470i | 0.578183 | − | 1.00144i | −0.417505 | − | 0.908675i | \(-0.637095\pi\) |
0.995688 | − | 0.0927674i | \(-0.0295713\pi\) | |||||||
\(662\) | −1.44241 | − | 3.41108i | −0.0560608 | − | 0.132576i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −15.6377 | − | 6.07656i | −0.606859 | − | 0.235816i | ||||
\(665\) | 0.450196 | − | 13.1895i | 0.0174579 | − | 0.511468i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −16.5908 | + | 9.57873i | −0.642400 | + | 0.370890i | ||||
\(668\) | −31.6045 | − | 7.97189i | −1.22282 | − | 0.308442i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.16935 | + | 9.41698i | −0.0451760 | + | 0.363810i | ||||
\(671\) | 28.8475 | 1.11364 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 28.0307 | 1.08050 | 0.540252 | − | 0.841503i | \(-0.318329\pi\) | ||||
0.540252 | + | 0.841503i | \(0.318329\pi\) | |||||||
\(674\) | 6.08984 | − | 49.0425i | 0.234572 | − | 1.88905i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.36606 | + | 1.60577i | 0.244848 | + | 0.0617603i | ||||
\(677\) | −10.2739 | + | 5.93164i | −0.394858 | + | 0.227971i | −0.684263 | − | 0.729235i | \(-0.739876\pi\) |
0.289405 | + | 0.957207i | \(0.406543\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 26.1585 | − | 13.9352i | 1.00387 | − | 0.534782i | ||||
\(680\) | 4.78342 | + | 1.85876i | 0.183436 | + | 0.0712803i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.32969 | + | 10.2391i | 0.165792 | + | 0.392074i | ||||
\(683\) | 7.62606 | − | 13.2087i | 0.291803 | − | 0.505418i | −0.682433 | − | 0.730948i | \(-0.739078\pi\) |
0.974236 | + | 0.225530i | \(0.0724114\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.4070 | 0.435841 | ||||||||
\(686\) | −5.86652 | + | 25.5261i | −0.223985 | + | 0.974593i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −12.3883 | + | 22.9943i | −0.472300 | + | 0.876649i | ||||
\(689\) | −17.5159 | + | 30.3384i | −0.667303 | + | 1.15580i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.24122 | + | 5.61395i | 0.123302 | + | 0.213565i | 0.921068 | − | 0.389402i | \(-0.127318\pi\) |
−0.797766 | + | 0.602967i | \(0.793985\pi\) | |||||||
\(692\) | 0.0533318 | − | 0.0151347i | 0.00202737 | − | 0.000575335i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 37.7306 | + | 28.5131i | 1.43223 | + | 1.08234i | ||||
\(695\) | 17.7223 | − | 10.2320i | 0.672244 | − | 0.388120i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.71632 | + | 2.97276i | −0.0650104 | + | 0.112601i | ||||
\(698\) | 1.27673 | − | 10.2817i | 0.0483249 | − | 0.389169i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 18.5802 | + | 5.36705i | 0.702265 | + | 0.202856i | ||||
\(701\) | 4.86157 | 0.183619 | 0.0918096 | − | 0.995777i | \(-0.470735\pi\) | ||||
0.0918096 | + | 0.995777i | \(0.470735\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 21.3475 | + | 12.3250i | 0.805138 | + | 0.464847i | ||||
\(704\) | 21.5978 | − | 6.82188i | 0.813996 | − | 0.257109i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 31.4330 | + | 23.7540i | 1.18300 | + | 0.893995i | ||||
\(707\) | −0.0493217 | + | 1.44499i | −0.00185493 | + | 0.0543444i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 21.3747 | − | 12.3407i | 0.802744 | − | 0.463464i | −0.0416860 | − | 0.999131i | \(-0.513273\pi\) |
0.844430 | + | 0.535667i | \(0.179940\pi\) | |||||||
\(710\) | −7.14222 | + | 3.02016i | −0.268043 | + | 0.113344i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 7.48619 | − | 1.15419i | 0.280557 | − | 0.0432552i | ||||
\(713\) | 13.0095 | 0.487209 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 10.2358i | − | 0.382797i | ||||||
\(716\) | −6.67582 | + | 6.87523i | −0.249487 | + | 0.256939i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 9.93440 | + | 23.4934i | 0.370748 | + | 0.876765i | ||||
\(719\) | −10.2912 | − | 17.8248i | −0.383796 | − | 0.664754i | 0.607806 | − | 0.794086i | \(-0.292050\pi\) |
−0.991601 | + | 0.129332i | \(0.958717\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 33.7986 | + | 21.0827i | 1.25872 | + | 0.785162i | ||||
\(722\) | −0.567308 | − | 0.428717i | −0.0211130 | − | 0.0159552i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 13.6382 | + | 3.44009i | 0.506861 | + | 0.127850i | ||||
\(725\) | 7.47169 | − | 12.9414i | 0.277492 | − | 0.480630i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 27.0889i | 1.00467i | 0.864673 | + | 0.502336i | \(0.167526\pi\) | ||||
−0.864673 | + | 0.502336i | \(0.832474\pi\) | |||||||
\(728\) | −23.1628 | + | 2.76599i | −0.858471 | + | 0.102514i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.28184 | − | 26.4292i | 0.121467 | − | 0.978190i | ||||
\(731\) | −8.84667 | − | 5.10763i | −0.327206 | − | 0.188912i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.48261 | − | 14.6923i | −0.313312 | − | 0.542673i | 0.665765 | − | 0.746162i | \(-0.268105\pi\) |
−0.979077 | + | 0.203488i | \(0.934772\pi\) | |||||||
\(734\) | 4.10243 | − | 5.42863i | 0.151424 | − | 0.200374i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.49084 | − | 26.3883i | 0.0918135 | − | 0.972685i | ||||
\(737\) | −14.1853 | + | 8.18990i | −0.522523 | + | 0.301679i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 38.1107 | + | 22.0032i | 1.40193 | + | 0.809402i | 0.994590 | − | 0.103876i | \(-0.0331245\pi\) |
0.407336 | + | 0.913278i | \(0.366458\pi\) | |||||||
\(740\) | 9.26134 | − | 9.53798i | 0.340454 | − | 0.350623i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −6.60208 | + | 41.5273i | −0.242370 | + | 1.52452i | ||||
\(743\) | 30.5441i | 1.12056i | 0.828305 | + | 0.560278i | \(0.189306\pi\) | ||||
−0.828305 | + | 0.560278i | \(0.810694\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.80324 | + | 5.65990i | 0.359163 | + | 0.207363i | ||||
\(746\) | −0.374971 | − | 0.886750i | −0.0137287 | − | 0.0324662i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.41835 | + | 8.52180i | 0.0884236 | + | 0.311588i | ||||
\(749\) | 3.98472 | − | 6.38806i | 0.145598 | − | 0.233415i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.35120 | + | 14.4647i | 0.304739 | + | 0.527824i | 0.977203 | − | 0.212306i | \(-0.0680973\pi\) |
−0.672464 | + | 0.740130i | \(0.734764\pi\) | |||||||
\(752\) | −1.25847 | − | 42.7502i | −0.0458918 | − | 1.55894i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.22113 | + | 17.8871i | −0.0808886 | + | 0.651410i | ||||
\(755\) | 4.96353i | 0.180641i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.36258i | 0.0495237i | 0.999693 | + | 0.0247618i | \(0.00788275\pi\) | ||||
−0.999693 | + | 0.0247618i | \(0.992117\pi\) | |||||||
\(758\) | −33.2728 | − | 4.13164i | −1.20852 | − | 0.150068i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 11.0007 | − | 8.83359i | 0.399036 | − | 0.320428i | ||||
\(761\) | −7.30823 | − | 12.6582i | −0.264923 | − | 0.458860i | 0.702620 | − | 0.711565i | \(-0.252013\pi\) |
−0.967543 | + | 0.252705i | \(0.918680\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.0839995 | + | 2.46096i | −0.00304099 | + | 0.0890926i | ||||
\(764\) | −26.6195 | + | 7.55420i | −0.963061 | + | 0.273301i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 43.6168 | − | 18.4438i | 1.57594 | − | 0.666401i | ||||
\(767\) | 37.1084 | + | 21.4246i | 1.33991 | + | 0.773596i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.23072i | 0.0443809i | 0.999754 | + | 0.0221904i | \(0.00706402\pi\) | ||||
−0.999754 | + | 0.0221904i | \(0.992936\pi\) | |||||||
\(770\) | −4.39626 | − | 11.4726i | −0.158430 | − | 0.413444i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.86468 | − | 6.03987i | 0.211075 | − | 0.217380i | ||||
\(773\) | −17.4450 | − | 10.0719i | −0.627452 | − | 0.362259i | 0.152313 | − | 0.988332i | \(-0.451328\pi\) |
−0.779765 | + | 0.626073i | \(0.784661\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.78824 | + | 5.07390i | −0.315683 | + | 0.182260i | ||||
\(776\) | 29.5338 | + | 11.4764i | 1.06020 | + | 0.411978i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 26.5759 | + | 20.0835i | 0.952793 | + | 0.720029i | ||||
\(779\) | 4.71847 | + | 8.17263i | 0.169057 | + | 0.292815i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.5921 | − | 6.69268i | −0.414796 | − | 0.239483i | ||||
\(782\) | 10.2874 | + | 1.27743i | 0.367877 | + | 0.0456810i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −24.7737 | + | 13.0486i | −0.884773 | + | 0.466022i | ||||
\(785\) | 28.0793i | 1.00219i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.411250 | − | 0.712307i | 0.0146595 | − | 0.0253910i | −0.858603 | − | 0.512642i | \(-0.828667\pi\) |
0.873262 | + | 0.487251i | \(0.162000\pi\) | |||||||
\(788\) | −47.2265 | − | 11.9124i | −1.68237 | − | 0.424360i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.72217 | + | 7.57198i | −0.203586 | + | 0.269399i | ||||
\(791\) | −32.5108 | + | 17.3191i | −1.15595 | + | 0.615797i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −15.8811 | − | 27.5069i | −0.563954 | − | 0.976797i | ||||
\(794\) | 33.2121 | − | 14.0440i | 1.17865 | − | 0.498404i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.71716 | + | 2.63835i | 0.0963071 | + | 0.0935137i | ||||
\(797\) | − | 16.0328i | − | 0.567911i | −0.958838 | − | 0.283955i | \(-0.908353\pi\) | ||
0.958838 | − | 0.283955i | \(-0.0916468\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.7270 | 0.591758 | ||||||||
\(800\) | 8.60920 | + | 18.7974i | 0.304381 | + | 0.664589i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 6.53928 | + | 15.4644i | 0.230910 | + | 0.546068i | ||||
\(803\) | 39.8119 | − | 22.9854i | 1.40493 | − | 0.811137i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −14.3694 | − | 0.490469i | −0.506454 | − | 0.0172868i | ||||
\(806\) | 7.37966 | − | 9.76529i | 0.259937 | − | 0.343968i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.20519 | + | 0.967772i | −0.0423984 | + | 0.0340461i | ||||
\(809\) | 19.0060 | + | 10.9731i | 0.668215 | + | 0.385794i | 0.795400 | − | 0.606085i | \(-0.207261\pi\) |
−0.127185 | + | 0.991879i | \(0.540594\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −40.5865 | −1.42518 | −0.712592 | − | 0.701579i | \(-0.752479\pi\) | ||||
−0.712592 | + | 0.701579i | \(0.752479\pi\) | |||||||
\(812\) | 5.19297 | + | 21.0024i | 0.182238 | + | 0.737040i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 22.7733 | + | 2.82787i | 0.798204 | + | 0.0991168i | ||||
\(815\) | 5.23511 | − | 9.06748i | 0.183378 | − | 0.317620i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −24.3210 | + | 14.0417i | −0.850885 | + | 0.491258i | ||||
\(818\) | −4.39822 | + | 5.82004i | −0.153780 | + | 0.203493i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.89631 | − | 1.38949i | 0.170987 | − | 0.0485233i | ||||
\(821\) | −21.9753 | − | 38.0623i | −0.766942 | − | 1.32838i | −0.939214 | − | 0.343333i | \(-0.888444\pi\) |
0.172272 | − | 0.985049i | \(-0.444889\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.112859 | + | 0.195478i | −0.00393403 | + | 0.00681394i | −0.867986 | − | 0.496589i | \(-0.834586\pi\) |
0.864052 | + | 0.503403i | \(0.167919\pi\) | |||||||
\(824\) | 6.48898 | + | 42.0881i | 0.226054 | + | 1.46621i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 50.7941 | + | 8.07532i | 1.76735 | + | 0.280976i | ||||
\(827\) | −7.35761 | −0.255849 | −0.127925 | − | 0.991784i | \(-0.540832\pi\) | ||||
−0.127925 | + | 0.991784i | \(0.540832\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.03760 | − | 13.9215i | 0.279157 | − | 0.483515i | −0.692018 | − | 0.721880i | \(-0.743278\pi\) |
0.971176 | + | 0.238365i | \(0.0766116\pi\) | |||||||
\(830\) | −8.96060 | + | 3.78908i | −0.311027 | + | 0.131521i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −18.3948 | − | 16.8385i | −0.637727 | − | 0.583770i | ||||
\(833\) | −4.81603 | − | 9.83502i | −0.166866 | − | 0.340763i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −16.3691 | + | 9.45069i | −0.566475 | + | 0.327055i | ||||
\(836\) | 23.6134 | + | 5.95621i | 0.816686 | + | 0.206000i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 12.1193 | + | 1.50491i | 0.418655 | + | 0.0519863i | ||||
\(839\) | 50.6405 | 1.74831 | 0.874153 | − | 0.485651i | \(-0.161417\pi\) | ||||
0.874153 | + | 0.485651i | \(0.161417\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.2833 | −0.423562 | ||||||||
\(842\) | 52.2503 | + | 6.48817i | 1.80066 | + | 0.223597i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −12.2581 | + | 48.5973i | −0.421942 | + | 1.67279i | ||||
\(845\) | 3.29720 | − | 1.90364i | 0.113427 | − | 0.0654872i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.17889 | + | 6.69935i | −0.143588 | + | 0.230192i | ||||
\(848\) | −38.2515 | + | 23.6118i | −1.31356 | + | 0.810834i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −7.44762 | + | 3.14930i | −0.255451 | + | 0.108020i | ||||
\(851\) | 13.4275 | − | 23.2572i | 0.460290 | − | 0.797246i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.65855 | 0.296463 | 0.148232 | − | 0.988953i | \(-0.452642\pi\) | ||||
0.148232 | + | 0.988953i | \(0.452642\pi\) | |||||||
\(854\) | −29.6142 | − | 24.0097i | −1.01338 | − | 0.821594i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.95481 | − | 1.22644i | 0.271890 | − | 0.0419189i | ||||
\(857\) | 17.1294 | − | 29.6691i | 0.585130 | − | 1.01348i | −0.409729 | − | 0.912207i | \(-0.634377\pi\) |
0.994859 | − | 0.101268i | \(-0.0322900\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 6.28537 | + | 10.8866i | 0.214454 | + | 0.371445i | 0.953104 | − | 0.302644i | \(-0.0978694\pi\) |
−0.738649 | + | 0.674090i | \(0.764536\pi\) | |||||||
\(860\) | 4.13501 | + | 14.5710i | 0.141003 | + | 0.496867i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −7.13178 | + | 9.43728i | −0.242910 | + | 0.321435i | ||||
\(863\) | −36.2622 | + | 20.9360i | −1.23438 | + | 0.712669i | −0.967940 | − | 0.251182i | \(-0.919181\pi\) |
−0.266440 | + | 0.963852i | \(0.585847\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.0160741 | − | 0.0278411i | 0.000546534 | − | 0.000946625i | ||||
\(866\) | −10.7177 | − | 1.33086i | −0.364201 | − | 0.0452246i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.07718 | − | 14.1148i | 0.138389 | − | 0.479087i | ||||
\(869\) | −16.3827 | −0.555744 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.6186 | + | 9.01741i | 0.529216 | + | 0.305543i | ||||
\(872\) | −2.05255 | + | 1.64821i | −0.0695081 | + | 0.0558154i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 17.1823 | − | 22.7368i | 0.581200 | − | 0.769085i | ||||
\(875\) | 23.4392 | − | 12.4865i | 0.792390 | − | 0.422122i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.04807 | − | 2.33716i | 0.136694 | − | 0.0789201i | −0.430094 | − | 0.902784i | \(-0.641519\pi\) |
0.566787 | + | 0.823864i | \(0.308186\pi\) | |||||||
\(878\) | 5.36019 | + | 12.6760i | 0.180897 | + | 0.427796i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 6.22964 | − | 11.5630i | 0.210001 | − | 0.389789i | ||||
\(881\) | 13.7595 | 0.463569 | 0.231785 | − | 0.972767i | \(-0.425544\pi\) | ||||
0.231785 | + | 0.972767i | \(0.425544\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 31.7680i | − | 1.06908i | −0.845144 | − | 0.534539i | \(-0.820485\pi\) | ||
0.845144 | − | 0.534539i | \(-0.179515\pi\) | |||||||
\(884\) | 6.79442 | − | 6.99738i | 0.228521 | − | 0.235347i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 28.4873 | − | 12.0461i | 0.957050 | − | 0.404698i | ||||
\(887\) | −9.28571 | − | 16.0833i | −0.311784 | − | 0.540025i | 0.666965 | − | 0.745089i | \(-0.267593\pi\) |
−0.978749 | + | 0.205064i | \(0.934260\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.67615 | − | 5.02357i | −0.0897553 | − | 0.168485i | ||||
\(890\) | 2.64828 | − | 3.50439i | 0.0887704 | − | 0.117467i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.61046 | − | 18.2781i | 0.154370 | − | 0.611997i | ||||
\(893\) | 22.9927 | − | 39.8245i | 0.769420 | − | 1.33268i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.55718i | 0.185756i | ||||||||
\(896\) | −27.8496 | − | 10.9726i | −0.930391 | − | 0.366568i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −23.3749 | − | 2.90257i | −0.780029 | − | 0.0968599i | ||||
\(899\) | −9.83114 | − | 5.67601i | −0.327887 | − | 0.189306i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.79045 | − | 15.2255i | −0.292852 | − | 0.507235i | ||||
\(902\) | 7.00911 | + | 5.29680i | 0.233378 | + | 0.176364i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −36.7056 | − | 14.2632i | −1.22081 | − | 0.474389i | ||||
\(905\) | 7.06371 | − | 4.07823i | 0.234806 | − | 0.135565i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.8054 | − | 10.8573i | −0.624423 | − | 0.360511i | 0.154166 | − | 0.988045i | \(-0.450731\pi\) |
−0.778589 | + | 0.627534i | \(0.784064\pi\) | |||||||
\(908\) | −26.6698 | − | 25.8963i | −0.885069 | − | 0.859398i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −8.51922 | + | 10.5078i | −0.282410 | + | 0.348332i | ||||
\(911\) | − | 34.1200i | − | 1.13044i | −0.824939 | − | 0.565222i | \(-0.808790\pi\) | ||
0.824939 | − | 0.565222i | \(-0.191210\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14.5433 | − | 8.39660i | −0.481314 | − | 0.277887i | ||||
\(914\) | −26.8701 | + | 11.3623i | −0.888785 | + | 0.375831i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.9624 | + | 52.7245i | 0.494371 | + | 1.74207i | ||||
\(917\) | 27.4223 | + | 17.1054i | 0.905564 | + | 0.564869i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.92493 | − | 10.2623i | −0.195445 | − | 0.338521i | 0.751601 | − | 0.659618i | \(-0.229282\pi\) |
−0.947046 | + | 0.321097i | \(0.895949\pi\) | |||||||
\(920\) | −9.62380 | − | 11.9847i | −0.317287 | − | 0.395125i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −44.2491 | − | 5.49463i | −1.45727 | − | 0.180956i | ||||
\(923\) | 14.7378i | 0.485101i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 20.9478i | 0.688759i | ||||||||
\(926\) | −7.03782 | + | 56.6768i | −0.231277 | + | 1.86251i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −13.3955 | + | 18.8546i | −0.439727 | + | 0.618933i | ||||
\(929\) | 29.2652 | + | 50.6888i | 0.960161 | + | 1.66305i | 0.722090 | + | 0.691799i | \(0.243182\pi\) |
0.238071 | + | 0.971248i | \(0.423485\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.0358 | − | 2.05281i | −0.984383 | − | 0.0672781i | ||||
\(932\) | −46.7276 | + | 13.2605i | −1.53061 | + | 0.434363i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 6.46080 | + | 15.2788i | 0.211404 | + | 0.499938i | ||||
\(935\) | 4.44868 | + | 2.56844i | 0.145487 | + | 0.0839971i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 58.2795i | − | 1.90391i | −0.306242 | − | 0.951954i | \(-0.599072\pi\) | ||
0.306242 | − | 0.951954i | \(-0.400928\pi\) | |||||||
\(938\) | 21.3788 | + | 3.39883i | 0.698042 | + | 0.110976i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −17.7934 | − | 17.2773i | −0.580356 | − | 0.563523i | ||||
\(941\) | −47.2322 | − | 27.2695i | −1.53973 | − | 0.888961i | −0.998854 | − | 0.0478564i | \(-0.984761\pi\) |
−0.540872 | − | 0.841105i | \(-0.681906\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 8.90372 | − | 5.14056i | 0.289945 | − | 0.167400i | ||||
\(944\) | 28.8808 | + | 46.7872i | 0.939990 | + | 1.52280i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −15.7628 | + | 20.8585i | −0.512493 | + | 0.678167i | ||||
\(947\) | 30.3559 | + | 52.5780i | 0.986435 | + | 1.70856i | 0.635379 | + | 0.772200i | \(0.280844\pi\) |
0.351056 | + | 0.936355i | \(0.385823\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −43.8344 | − | 25.3078i | −1.42293 | − | 0.821527i | ||||
\(950\) | −2.73938 | + | 22.0607i | −0.0888772 | + | 0.715743i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.61005 | − | 10.7611i | 0.149412 | − | 0.348769i | ||||
\(953\) | − | 15.3879i | − | 0.498463i | −0.968444 | − | 0.249232i | \(-0.919822\pi\) | ||
0.968444 | − | 0.249232i | \(-0.0801781\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.02305 | + | 13.8963i | −0.259620 | + | 0.449675i | ||||
\(956\) | −1.15154 | + | 4.56527i | −0.0372434 | + | 0.147651i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.675156 | − | 0.510217i | −0.0218133 | − | 0.0164844i | ||||
\(959\) | 0.887692 | − | 26.0069i | 0.0286651 | − | 0.839808i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.6455 | − | 20.1706i | −0.375662 | − | 0.650666i | ||||
\(962\) | −9.84070 | − | 23.2718i | −0.317277 | − | 0.750312i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −18.7064 | − | 18.1638i | −0.602492 | − | 0.585017i | ||||
\(965\) | − | 4.88197i | − | 0.157156i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 34.1030 | 1.09668 | 0.548339 | − | 0.836256i | \(-0.315260\pi\) | ||||
0.548339 | + | 0.836256i | \(0.315260\pi\) | |||||||
\(968\) | −8.34245 | + | 1.28621i | −0.268136 | + | 0.0413402i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 16.9233 | − | 7.15617i | 0.543374 | − | 0.229771i | ||||
\(971\) | 33.1725 | − | 19.1521i | 1.06456 | − | 0.614621i | 0.137866 | − | 0.990451i | \(-0.455976\pi\) |
0.926689 | + | 0.375830i | \(0.122642\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −21.9487 | − | 41.2013i | −0.703644 | − | 1.32085i | ||||
\(974\) | 23.4592 | + | 17.7282i | 0.751682 | + | 0.568048i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.19927 | − | 40.7390i | −0.0383876 | − | 1.30402i | ||||
\(977\) | −19.4340 | − | 11.2202i | −0.621749 | − | 0.358967i | 0.155801 | − | 0.987788i | \(-0.450204\pi\) |
−0.777550 | + | 0.628822i | \(0.783538\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 7.58205 | 0.242323 | ||||||||
\(980\) | −5.03552 | + | 15.4365i | −0.160854 | + | 0.493102i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.91125 | + | 31.4979i | −0.124813 | + | 1.00514i | ||||
\(983\) | 14.0698 | − | 24.3695i | 0.448756 | − | 0.777268i | −0.549550 | − | 0.835461i | \(-0.685201\pi\) |
0.998305 | + | 0.0581932i | \(0.0185340\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −24.4602 | + | 14.1221i | −0.779367 | + | 0.449968i | ||||
\(986\) | −7.21674 | − | 5.45372i | −0.229828 | − | 0.173682i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −7.32021 | − | 25.7950i | −0.232887 | − | 0.820649i | ||||
\(989\) | 15.2979 | + | 26.4967i | 0.486443 | + | 0.842545i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17.8187 | − | 30.8629i | 0.566029 | − | 0.980391i | −0.430924 | − | 0.902388i | \(-0.641812\pi\) |
0.996953 | − | 0.0780029i | \(-0.0248543\pi\) | |||||||
\(992\) | 14.2798 | − | 6.54014i | 0.453385 | − | 0.207650i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 6.32986 | + | 16.5186i | 0.200771 | + | 0.523938i | ||||
\(995\) | 2.19625 | 0.0696259 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.1376 | − | 21.0230i | 0.384402 | − | 0.665804i | −0.607284 | − | 0.794485i | \(-0.707741\pi\) |
0.991686 | + | 0.128681i | \(0.0410742\pi\) | |||||||
\(998\) | −6.50404 | − | 15.3811i | −0.205882 | − | 0.486880i | ||||
\(999\) | 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 | 504.2.ch.b.269.16 | yes | 56 | |
3.2 | odd | 2 | inner | 504.2.ch.b.269.13 | yes | 56 | |
4.3 | odd | 2 | 2016.2.cp.b.17.10 | 56 | |||
7.5 | odd | 6 | inner | 504.2.ch.b.341.4 | yes | 56 | |
8.3 | odd | 2 | 2016.2.cp.b.17.19 | 56 | |||
8.5 | even | 2 | inner | 504.2.ch.b.269.25 | yes | 56 | |
12.11 | even | 2 | 2016.2.cp.b.17.20 | 56 | |||
21.5 | even | 6 | inner | 504.2.ch.b.341.25 | yes | 56 | |
24.5 | odd | 2 | inner | 504.2.ch.b.269.4 | ✓ | 56 | |
24.11 | even | 2 | 2016.2.cp.b.17.9 | 56 | |||
28.19 | even | 6 | 2016.2.cp.b.593.9 | 56 | |||
56.5 | odd | 6 | inner | 504.2.ch.b.341.13 | yes | 56 | |
56.19 | even | 6 | 2016.2.cp.b.593.20 | 56 | |||
84.47 | odd | 6 | 2016.2.cp.b.593.19 | 56 | |||
168.5 | even | 6 | inner | 504.2.ch.b.341.16 | yes | 56 | |
168.131 | odd | 6 | 2016.2.cp.b.593.10 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.ch.b.269.4 | ✓ | 56 | 24.5 | odd | 2 | inner | |
504.2.ch.b.269.13 | yes | 56 | 3.2 | odd | 2 | inner | |
504.2.ch.b.269.16 | yes | 56 | 1.1 | even | 1 | trivial | |
504.2.ch.b.269.25 | yes | 56 | 8.5 | even | 2 | inner | |
504.2.ch.b.341.4 | yes | 56 | 7.5 | odd | 6 | inner | |
504.2.ch.b.341.13 | yes | 56 | 56.5 | odd | 6 | inner | |
504.2.ch.b.341.16 | yes | 56 | 168.5 | even | 6 | inner | |
504.2.ch.b.341.25 | yes | 56 | 21.5 | even | 6 | inner | |
2016.2.cp.b.17.9 | 56 | 24.11 | even | 2 | |||
2016.2.cp.b.17.10 | 56 | 4.3 | odd | 2 | |||
2016.2.cp.b.17.19 | 56 | 8.3 | odd | 2 | |||
2016.2.cp.b.17.20 | 56 | 12.11 | even | 2 | |||
2016.2.cp.b.593.9 | 56 | 28.19 | even | 6 | |||
2016.2.cp.b.593.10 | 56 | 168.131 | odd | 6 | |||
2016.2.cp.b.593.19 | 56 | 84.47 | odd | 6 | |||
2016.2.cp.b.593.20 | 56 | 56.19 | even | 6 |