Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [243,2,Mod(10,243)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(243, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("243.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 243 = 3^{5} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 243.g (of order \(27\), degree \(18\), not 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: | \(1.94036476912\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 10.7 | ||
Character | \(\chi\) | \(=\) | 243.10 |
Dual form | 243.2.g.a.73.7 |
$q$-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 \(\left(\mathbb{Z}/243\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.89071 | + | 0.949549i | 1.33693 | + | 0.671433i | 0.966317 | − | 0.257354i | \(-0.0828506\pi\) |
0.370615 | + | 0.928786i | \(0.379147\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.47882 | + | 1.98639i | 0.739408 | + | 0.993197i | ||||
\(5\) | 1.11651 | + | 3.72940i | 0.499317 | + | 1.66784i | 0.721172 | + | 0.692756i | \(0.243604\pi\) |
−0.221854 | + | 0.975080i | \(0.571211\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.32100 | − | 3.06243i | −0.499292 | − | 1.15749i | −0.962510 | − | 0.271245i | \(-0.912565\pi\) |
0.463218 | − | 0.886244i | \(-0.346695\pi\) | |||||||
\(8\) | 0.175036 | + | 0.992677i | 0.0618845 | + | 0.350964i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.43025 | + | 8.11138i | −0.452286 | + | 2.56504i | ||||
\(11\) | −0.736337 | + | 0.174515i | −0.222014 | + | 0.0526183i | −0.340117 | − | 0.940383i | \(-0.610467\pi\) |
0.118103 | + | 0.993001i | \(0.462319\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.07722 | − | 1.36621i | −0.576116 | − | 0.378918i | 0.227757 | − | 0.973718i | \(-0.426861\pi\) |
−0.803873 | + | 0.594800i | \(0.797231\pi\) | |||||||
\(14\) | 0.410296 | − | 7.04452i | 0.109656 | − | 1.88273i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.808837 | − | 2.70170i | 0.202209 | − | 0.675426i | ||||
\(17\) | 0.700932 | − | 0.255119i | 0.170001 | − | 0.0618753i | −0.255617 | − | 0.966778i | \(-0.582279\pi\) |
0.425619 | + | 0.904903i | \(0.360057\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.21736 | + | 1.53499i | 0.967530 | + | 0.352152i | 0.776980 | − | 0.629526i | \(-0.216751\pi\) |
0.190550 | + | 0.981678i | \(0.438973\pi\) | |||||||
\(20\) | −5.75694 | + | 7.73291i | −1.28729 | + | 1.72913i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.55791 | − | 0.369231i | −0.332147 | − | 0.0787203i | ||||
\(23\) | 0.905723 | − | 2.09970i | 0.188856 | − | 0.437818i | −0.797312 | − | 0.603568i | \(-0.793745\pi\) |
0.986168 | + | 0.165750i | \(0.0530044\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −8.48436 | + | 5.58025i | −1.69687 | + | 1.11605i | ||||
\(26\) | −2.63013 | − | 4.55552i | −0.515811 | − | 0.893410i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.12967 | − | 7.15280i | 0.780435 | − | 1.35175i | ||||
\(29\) | 0.0269788 | + | 0.463208i | 0.00500984 | + | 0.0860156i | 0.999886 | − | 0.0150831i | \(-0.00480127\pi\) |
−0.994876 | + | 0.101099i | \(0.967764\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.91546 | − | 0.457651i | 0.703237 | − | 0.0821966i | 0.243044 | − | 0.970015i | \(-0.421854\pi\) |
0.460193 | + | 0.887819i | \(0.347780\pi\) | |||||||
\(32\) | 5.47813 | − | 5.80647i | 0.968405 | − | 1.02645i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.56751 | + | 0.183215i | 0.268825 | + | 0.0314212i | ||||
\(35\) | 9.94610 | − | 8.34577i | 1.68120 | − | 1.41069i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.64375 | − | 3.05747i | −0.599029 | − | 0.502645i | 0.292104 | − | 0.956387i | \(-0.405645\pi\) |
−0.891134 | + | 0.453741i | \(0.850089\pi\) | |||||||
\(38\) | 6.51625 | + | 6.90682i | 1.05708 | + | 1.12043i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.50665 | + | 1.76111i | −0.554451 | + | 0.278456i | ||||
\(41\) | −4.37210 | + | 2.19575i | −0.682807 | + | 0.342919i | −0.756160 | − | 0.654387i | \(-0.772927\pi\) |
0.0733521 | + | 0.997306i | \(0.476630\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.07702 | − | 4.32138i | −0.621739 | − | 0.659005i | 0.337591 | − | 0.941293i | \(-0.390388\pi\) |
−0.959330 | + | 0.282288i | \(0.908907\pi\) | |||||||
\(44\) | −1.43556 | − | 1.20458i | −0.216419 | − | 0.181597i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.70623 | − | 3.10990i | 0.546454 | − | 0.458529i | ||||
\(47\) | −10.6936 | − | 1.24990i | −1.55981 | − | 0.182316i | −0.708020 | − | 0.706192i | \(-0.750411\pi\) |
−0.851795 | + | 0.523876i | \(0.824485\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.82973 | + | 2.99934i | −0.404247 | + | 0.428477i | ||||
\(50\) | −21.3402 | + | 2.49431i | −3.01796 | + | 0.352748i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.357995 | − | 6.14654i | −0.0496450 | − | 0.852372i | ||||
\(53\) | −5.75294 | + | 9.96438i | −0.790227 | + | 1.36871i | 0.135600 | + | 0.990764i | \(0.456704\pi\) |
−0.925826 | + | 0.377949i | \(0.876629\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.47296 | − | 2.55124i | −0.198614 | − | 0.344010i | ||||
\(56\) | 2.80878 | − | 1.84736i | 0.375339 | − | 0.246864i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.388830 | + | 0.901409i | −0.0510559 | + | 0.118361i | ||||
\(59\) | 4.03735 | + | 0.956869i | 0.525618 | + | 0.124574i | 0.484854 | − | 0.874595i | \(-0.338873\pi\) |
0.0407637 | + | 0.999169i | \(0.487021\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.159571 | − | 0.214341i | 0.0204310 | − | 0.0274436i | −0.791790 | − | 0.610793i | \(-0.790851\pi\) |
0.812221 | + | 0.583349i | \(0.198258\pi\) | |||||||
\(62\) | 7.83755 | + | 2.85264i | 0.995370 | + | 0.362285i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 10.5709 | − | 3.84748i | 1.32136 | − | 0.480935i | ||||
\(65\) | 2.77590 | − | 9.27214i | 0.344308 | − | 1.15007i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.111496 | − | 1.91430i | 0.0136213 | − | 0.233870i | −0.984625 | − | 0.174679i | \(-0.944111\pi\) |
0.998247 | − | 0.0591902i | \(-0.0188518\pi\) | |||||||
\(68\) | 1.54332 | + | 1.01506i | 0.187155 | + | 0.123094i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 26.7299 | − | 6.33510i | 3.19483 | − | 0.757189i | ||||
\(71\) | −1.17278 | + | 6.65118i | −0.139184 | + | 0.789350i | 0.832671 | + | 0.553768i | \(0.186811\pi\) |
−0.971855 | + | 0.235582i | \(0.924300\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.37723 | + | 7.81064i | 0.161192 | + | 0.914167i | 0.952904 | + | 0.303272i | \(0.0980791\pi\) |
−0.791712 | + | 0.610895i | \(0.790810\pi\) | |||||||
\(74\) | −3.98605 | − | 9.24071i | −0.463369 | − | 1.07421i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.18760 | + | 10.6473i | 0.365643 | + | 1.22133i | ||||
\(77\) | 1.50714 | + | 2.02444i | 0.171755 | + | 0.230707i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.85762 | + | 1.93737i | 0.434016 | + | 0.217971i | 0.652373 | − | 0.757898i | \(-0.273773\pi\) |
−0.218357 | + | 0.975869i | \(0.570070\pi\) | |||||||
\(80\) | 10.9788 | 1.22747 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −10.3513 | −1.14311 | ||||||||
\(83\) | 2.27599 | + | 1.14304i | 0.249822 | + | 0.125465i | 0.569304 | − | 0.822127i | \(-0.307213\pi\) |
−0.319482 | + | 0.947592i | \(0.603509\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.73403 | + | 2.32921i | 0.188082 | + | 0.252639i | ||||
\(86\) | −3.60508 | − | 12.0418i | −0.388746 | − | 1.29850i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.302122 | − | 0.700398i | −0.0322063 | − | 0.0746627i | ||||
\(89\) | 0.935549 | + | 5.30576i | 0.0991680 | + | 0.562410i | 0.993390 | + | 0.114786i | \(0.0366184\pi\) |
−0.894222 | + | 0.447623i | \(0.852271\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.43990 | + | 8.16609i | −0.150943 | + | 0.856039i | ||||
\(92\) | 5.51024 | − | 1.30595i | 0.574482 | − | 0.136155i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −19.0315 | − | 12.5172i | −1.96295 | − | 1.29106i | ||||
\(95\) | −1.01588 | + | 17.4421i | −0.104227 | + | 1.78952i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.72130 | + | 9.08977i | −0.276306 | + | 0.922926i | 0.701368 | + | 0.712799i | \(0.252573\pi\) |
−0.977674 | + | 0.210127i | \(0.932612\pi\) | |||||||
\(98\) | −8.19821 | + | 2.98391i | −0.828145 | + | 0.301420i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −23.6314 | − | 8.60112i | −2.36314 | − | 0.860112i | ||||
\(101\) | 7.34963 | − | 9.87227i | 0.731315 | − | 0.982327i | −0.268503 | − | 0.963279i | \(-0.586529\pi\) |
0.999819 | − | 0.0190483i | \(-0.00606363\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 16.2209 | + | 3.84443i | 1.59830 | + | 0.378803i | 0.930719 | − | 0.365736i | \(-0.119183\pi\) |
0.667578 | + | 0.744539i | \(0.267331\pi\) | |||||||
\(104\) | 0.992615 | − | 2.30114i | 0.0973339 | − | 0.225645i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −20.3388 | + | 13.3770i | −1.97548 | + | 1.29929i | ||||
\(107\) | −1.84694 | − | 3.19899i | −0.178550 | − | 0.309258i | 0.762834 | − | 0.646595i | \(-0.223807\pi\) |
−0.941384 | + | 0.337336i | \(0.890474\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.66961 | − | 15.0162i | 0.830398 | − | 1.43829i | −0.0673245 | − | 0.997731i | \(-0.521446\pi\) |
0.897723 | − | 0.440561i | \(-0.145220\pi\) | |||||||
\(110\) | −0.362408 | − | 6.22231i | −0.0345543 | − | 0.593274i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.34225 | + | 1.09195i | −0.882760 | + | 0.103180i | ||||
\(113\) | −7.07449 | + | 7.49852i | −0.665512 | + | 0.705401i | −0.968896 | − | 0.247467i | \(-0.920402\pi\) |
0.303385 | + | 0.952868i | \(0.401883\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.84187 | + | 1.03347i | 0.824508 | + | 0.0963712i | ||||
\(116\) | −0.880217 | + | 0.738590i | −0.0817261 | + | 0.0685764i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.72485 | + | 5.64282i | 0.619072 | + | 0.519464i | ||||
\(119\) | −1.70722 | − | 1.80954i | −0.156500 | − | 0.165881i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.31822 | + | 4.67979i | −0.847111 | + | 0.425435i | ||||
\(122\) | 0.505229 | − | 0.253736i | 0.0457413 | − | 0.0229722i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.69932 | + | 7.10086i | 0.601617 | + | 0.637676i | ||||
\(125\) | −15.3730 | − | 12.8995i | −1.37500 | − | 1.15376i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.1217 | + | 8.49315i | −0.898159 | + | 0.753645i | −0.969830 | − | 0.243783i | \(-0.921611\pi\) |
0.0716705 | + | 0.997428i | \(0.477167\pi\) | |||||||
\(128\) | 7.78215 | + | 0.909603i | 0.687852 | + | 0.0803983i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 14.0528 | − | 14.8951i | 1.23251 | − | 1.30638i | ||||
\(131\) | 9.99331 | − | 1.16805i | 0.873120 | − | 0.102053i | 0.332282 | − | 0.943180i | \(-0.392181\pi\) |
0.540838 | + | 0.841127i | \(0.318107\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.870337 | − | 14.9431i | −0.0754678 | − | 1.29573i | ||||
\(134\) | 2.02853 | − | 3.51352i | 0.175238 | − | 0.303522i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.375938 | + | 0.651145i | 0.0322365 | + | 0.0558352i | ||||
\(137\) | −7.91093 | + | 5.20310i | −0.675876 | + | 0.444531i | −0.840490 | − | 0.541827i | \(-0.817733\pi\) |
0.164614 | + | 0.986358i | \(0.447362\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.15897 | + | 9.64158i | −0.352760 | + | 0.817788i | 0.645768 | + | 0.763534i | \(0.276537\pi\) |
−0.998527 | + | 0.0542545i | \(0.982722\pi\) | |||||||
\(140\) | 31.2864 | + | 7.41502i | 2.64419 | + | 0.626684i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −8.53302 | + | 11.4618i | −0.716075 | + | 0.961855i | ||||
\(143\) | 1.76795 | + | 0.643483i | 0.147844 | + | 0.0538107i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.69736 | + | 0.617790i | −0.140958 | + | 0.0513047i | ||||
\(146\) | −4.81266 | + | 16.0754i | −0.398298 | + | 1.33041i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.684905 | − | 11.7594i | 0.0562989 | − | 0.966614i | ||||
\(149\) | 10.3846 | + | 6.83006i | 0.850740 | + | 0.559541i | 0.898328 | − | 0.439326i | \(-0.144783\pi\) |
−0.0475872 | + | 0.998867i | \(0.515153\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −17.7357 | + | 4.20344i | −1.44331 | + | 0.342071i | −0.876350 | − | 0.481674i | \(-0.840029\pi\) |
−0.566960 | + | 0.823745i | \(0.691881\pi\) | |||||||
\(152\) | −0.785565 | + | 4.45516i | −0.0637177 | + | 0.361361i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.927258 | + | 5.25874i | 0.0747206 | + | 0.423761i | ||||
\(155\) | 6.07840 | + | 14.0913i | 0.488229 | + | 1.13184i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.70313 | − | 22.3900i | −0.534968 | − | 1.78692i | −0.613136 | − | 0.789978i | \(-0.710092\pi\) |
0.0781675 | − | 0.996940i | \(-0.475093\pi\) | |||||||
\(158\) | 5.45401 | + | 7.32601i | 0.433898 | + | 0.582826i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 27.7710 | + | 13.9471i | 2.19549 | + | 1.10262i | ||||
\(161\) | −7.62665 | −0.601064 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.7238 | 0.918278 | 0.459139 | − | 0.888364i | \(-0.348158\pi\) | ||||
0.459139 | + | 0.888364i | \(0.348158\pi\) | |||||||
\(164\) | −10.8272 | − | 5.43761i | −0.845459 | − | 0.424606i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.21785 | + | 4.32232i | 0.249754 | + | 0.335477i | ||||
\(167\) | −6.94439 | − | 23.1959i | −0.537373 | − | 1.79495i | −0.603772 | − | 0.797157i | \(-0.706336\pi\) |
0.0663994 | − | 0.997793i | \(-0.478849\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.70073 | − | 6.26100i | −0.207748 | − | 0.481615i | ||||
\(170\) | 1.06685 | + | 6.05041i | 0.0818237 | + | 0.464045i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.55482 | − | 14.4891i | 0.194803 | − | 1.10478i | ||||
\(173\) | 15.0943 | − | 3.57742i | 1.14760 | − | 0.271986i | 0.387548 | − | 0.921849i | \(-0.373322\pi\) |
0.760051 | + | 0.649863i | \(0.225174\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 28.2970 | + | 18.6112i | 2.13905 | + | 1.40688i | ||||
\(176\) | −0.124089 | + | 2.13052i | −0.00935353 | + | 0.160594i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.26923 | + | 10.9200i | −0.245039 | + | 0.818489i | ||||
\(179\) | −6.75474 | + | 2.45852i | −0.504873 | + | 0.183759i | −0.581884 | − | 0.813271i | \(-0.697684\pi\) |
0.0770114 | + | 0.997030i | \(0.475462\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.27112 | + | 2.64647i | 0.540458 | + | 0.196711i | 0.597802 | − | 0.801644i | \(-0.296041\pi\) |
−0.0573439 | + | 0.998354i | \(0.518263\pi\) | |||||||
\(182\) | −10.4765 | + | 14.0724i | −0.776573 | + | 1.04312i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.24286 | + | 0.531567i | 0.165346 | + | 0.0391877i | ||||
\(185\) | 7.33424 | − | 17.0027i | 0.539224 | − | 1.25006i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.471600 | + | 0.310176i | −0.0344868 | + | 0.0226824i | ||||
\(188\) | −13.3310 | − | 23.0900i | −0.972264 | − | 1.68401i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −18.4828 | + | 32.0132i | −1.34089 | + | 2.32248i | ||||
\(191\) | −0.585993 | − | 10.0611i | −0.0424010 | − | 0.727996i | −0.950783 | − | 0.309856i | \(-0.899719\pi\) |
0.908382 | − | 0.418140i | \(-0.137318\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.8841 | − | 1.85659i | 1.14337 | − | 0.133640i | 0.476748 | − | 0.879040i | \(-0.341815\pi\) |
0.666618 | + | 0.745400i | \(0.267741\pi\) | |||||||
\(194\) | −13.7764 | + | 14.6021i | −0.989086 | + | 1.04837i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −10.1425 | − | 1.18549i | −0.724466 | − | 0.0846779i | ||||
\(197\) | −8.40349 | + | 7.05136i | −0.598724 | + | 0.502389i | −0.891035 | − | 0.453934i | \(-0.850020\pi\) |
0.292311 | + | 0.956323i | \(0.405576\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.68937 | + | 2.25665i | 0.190644 | + | 0.159970i | 0.733114 | − | 0.680106i | \(-0.238066\pi\) |
−0.542470 | + | 0.840075i | \(0.682511\pi\) | |||||||
\(200\) | −7.02445 | − | 7.44548i | −0.496704 | − | 0.526475i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 23.2702 | − | 11.6867i | 1.63729 | − | 0.822276i | ||||
\(203\) | 1.38290 | − | 0.694520i | 0.0970607 | − | 0.0487457i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13.0703 | − | 13.8537i | −0.912870 | − | 0.967586i | ||||
\(206\) | 27.0186 | + | 22.6713i | 1.88247 | + | 1.57958i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.37122 | + | 4.50698i | −0.372427 | + | 0.312503i | ||||
\(209\) | −3.37328 | − | 0.394280i | −0.233335 | − | 0.0272729i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.27290 | − | 5.58895i | 0.363002 | − | 0.384759i | −0.519971 | − | 0.854184i | \(-0.674057\pi\) |
0.882972 | + | 0.469425i | \(0.155539\pi\) | |||||||
\(212\) | −28.3007 | + | 3.30788i | −1.94370 | + | 0.227186i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.454422 | − | 7.80212i | −0.0310636 | − | 0.533342i | ||||
\(215\) | 11.5641 | − | 20.0297i | 0.788667 | − | 1.36601i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.57386 | − | 11.3863i | −0.446262 | − | 0.772949i | ||||
\(218\) | 30.6503 | − | 20.1590i | 2.07590 | − | 1.36534i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.88954 | − | 6.69870i | 0.194813 | − | 0.451626i | ||||
\(221\) | −1.80453 | − | 0.427682i | −0.121386 | − | 0.0287690i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.47575 | − | 8.69845i | 0.433649 | − | 0.582491i | −0.530556 | − | 0.847650i | \(-0.678017\pi\) |
0.964205 | + | 0.265159i | \(0.0854243\pi\) | |||||||
\(224\) | −25.0185 | − | 9.10600i | −1.67162 | − | 0.608420i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −20.4960 | + | 7.45993i | −1.36337 | + | 0.496227i | ||||
\(227\) | −3.11507 | + | 10.4051i | −0.206754 | + | 0.690608i | 0.790216 | + | 0.612828i | \(0.209968\pi\) |
−0.996971 | + | 0.0777796i | \(0.975217\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.133120 | + | 2.28559i | −0.00879685 | + | 0.151036i | 0.991049 | + | 0.133496i | \(0.0426204\pi\) |
−0.999846 | + | 0.0175398i | \(0.994417\pi\) | |||||||
\(230\) | 15.7361 | + | 10.3498i | 1.03761 | + | 0.682444i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.455094 | + | 0.107859i | −0.0298784 | + | 0.00708130i | ||||
\(233\) | −3.09286 | + | 17.5405i | −0.202620 | + | 1.14912i | 0.698521 | + | 0.715590i | \(0.253842\pi\) |
−0.901141 | + | 0.433526i | \(0.857269\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7.27807 | − | 41.2760i | −0.474769 | − | 2.69255i | ||||
\(236\) | 4.06977 | + | 9.43480i | 0.264920 | + | 0.614153i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.50960 | − | 5.04240i | −0.0978526 | − | 0.326851i | ||||
\(239\) | 7.32490 | + | 9.83905i | 0.473808 | + | 0.636435i | 0.973205 | − | 0.229938i | \(-0.0738524\pi\) |
−0.499397 | + | 0.866373i | \(0.666445\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 15.6381 | + | 7.85375i | 1.00734 | + | 0.505904i | 0.874393 | − | 0.485219i | \(-0.161260\pi\) |
0.132946 | + | 0.991123i | \(0.457556\pi\) | |||||||
\(242\) | −22.0617 | −1.41818 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.661742 | 0.0423637 | ||||||||
\(245\) | −14.3451 | − | 7.20440i | −0.916477 | − | 0.460272i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −6.66326 | − | 8.95031i | −0.423973 | − | 0.569494i | ||||
\(248\) | 1.13964 | + | 3.80668i | 0.0723675 | + | 0.241724i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −16.8172 | − | 38.9865i | −1.06361 | − | 2.46573i | ||||
\(251\) | −3.26810 | − | 18.5343i | −0.206281 | − | 1.16988i | −0.895412 | − | 0.445239i | \(-0.853119\pi\) |
0.689131 | − | 0.724637i | \(-0.257992\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.300488 | + | 1.70415i | −0.0188915 | + | 0.107139i | ||||
\(254\) | −27.2019 | + | 6.44697i | −1.70680 | + | 0.404519i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.94720 | − | 3.25382i | −0.309200 | − | 0.203364i | ||||
\(257\) | 1.00260 | − | 17.2139i | 0.0625403 | − | 1.07378i | −0.810378 | − | 0.585908i | \(-0.800738\pi\) |
0.872918 | − | 0.487867i | \(-0.162225\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.54988 | + | 15.1977i | −0.282716 | + | 0.944337i | ||||
\(260\) | 22.5232 | − | 8.19776i | 1.39683 | − | 0.508404i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 20.0036 | + | 7.28070i | 1.23582 | + | 0.449803i | ||||
\(263\) | 14.6970 | − | 19.7415i | 0.906255 | − | 1.21731i | −0.0693091 | − | 0.997595i | \(-0.522079\pi\) |
0.975564 | − | 0.219716i | \(-0.0705131\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −43.5843 | − | 10.3297i | −2.67736 | − | 0.634547i | ||||
\(266\) | 12.5437 | − | 29.0795i | 0.769101 | − | 1.78298i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.96745 | − | 2.60943i | 0.242350 | − | 0.159396i | ||||
\(269\) | 5.32448 | + | 9.22227i | 0.324639 | + | 0.562292i | 0.981439 | − | 0.191773i | \(-0.0614238\pi\) |
−0.656800 | + | 0.754065i | \(0.728090\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.35817 | − | 4.08447i | 0.143249 | − | 0.248114i | −0.785469 | − | 0.618900i | \(-0.787578\pi\) |
0.928718 | + | 0.370786i | \(0.120912\pi\) | |||||||
\(272\) | −0.122315 | − | 2.10006i | −0.00741641 | − | 0.127335i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −19.8979 | + | 2.32573i | −1.20207 | + | 0.140502i | ||||
\(275\) | 5.27351 | − | 5.58959i | 0.318005 | − | 0.337065i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.56691 | + | 0.767562i | 0.394567 | + | 0.0461183i | 0.311063 | − | 0.950389i | \(-0.399315\pi\) |
0.0835039 | + | 0.996507i | \(0.473389\pi\) | |||||||
\(278\) | −17.0186 | + | 14.2803i | −1.02071 | + | 0.856474i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 10.0256 | + | 8.41245i | 0.599142 | + | 0.502740i | ||||
\(281\) | −1.69927 | − | 1.80112i | −0.101370 | − | 0.107446i | 0.674702 | − | 0.738090i | \(-0.264272\pi\) |
−0.776072 | + | 0.630644i | \(0.782791\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.828536 | − | 0.416107i | 0.0492514 | − | 0.0247350i | −0.424003 | − | 0.905661i | \(-0.639375\pi\) |
0.473254 | + | 0.880926i | \(0.343079\pi\) | |||||||
\(284\) | −14.9462 | + | 7.50627i | −0.886894 | + | 0.445415i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.73167 | + | 2.89540i | 0.161527 | + | 0.171208i | ||||
\(287\) | 12.4999 | + | 10.4887i | 0.737845 | + | 0.619126i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.5965 | + | 10.5697i | −0.740973 | + | 0.621750i | ||||
\(290\) | −3.79584 | − | 0.443670i | −0.222900 | − | 0.0260532i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −13.4784 | + | 14.2862i | −0.788761 | + | 0.836038i | ||||
\(293\) | 2.32920 | − | 0.272245i | 0.136073 | − | 0.0159047i | −0.0477835 | − | 0.998858i | \(-0.515216\pi\) |
0.183857 | + | 0.982953i | \(0.441142\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.939186 | + | 16.1252i | 0.0546815 | + | 0.938846i | ||||
\(296\) | 2.39729 | − | 4.15224i | 0.139340 | − | 0.241344i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 13.1488 | + | 22.7744i | 0.761688 | + | 1.31928i | ||||
\(299\) | −4.75001 | + | 3.12413i | −0.274700 | + | 0.180673i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.84818 | + | 18.1941i | −0.452362 | + | 1.04869i | ||||
\(302\) | −37.5244 | − | 8.89345i | −2.15929 | − | 0.511760i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 7.55826 | − | 10.1525i | 0.433496 | − | 0.582286i | ||||
\(305\) | 0.977524 | + | 0.355790i | 0.0559729 | + | 0.0203725i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.3376 | − | 5.21846i | 0.818289 | − | 0.297833i | 0.101246 | − | 0.994861i | \(-0.467717\pi\) |
0.717043 | + | 0.697028i | \(0.245495\pi\) | |||||||
\(308\) | −1.79256 | + | 5.98756i | −0.102140 | + | 0.341173i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.88792 | + | 32.4143i | −0.107227 | + | 1.84101i | ||||
\(311\) | −13.9891 | − | 9.20078i | −0.793249 | − | 0.521728i | 0.0870178 | − | 0.996207i | \(-0.472266\pi\) |
−0.880267 | + | 0.474478i | \(0.842637\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 31.6953 | − | 7.51193i | 1.79153 | − | 0.424599i | 0.805693 | − | 0.592334i | \(-0.201793\pi\) |
0.985832 | + | 0.167734i | \(0.0536451\pi\) | |||||||
\(314\) | 8.58676 | − | 48.6979i | 0.484579 | − | 2.74818i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.85633 | + | 10.5278i | 0.104427 | + | 0.592234i | ||||
\(317\) | −8.58338 | − | 19.8985i | −0.482091 | − | 1.11761i | −0.969645 | − | 0.244519i | \(-0.921370\pi\) |
0.487554 | − | 0.873093i | \(-0.337889\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.100702 | − | 0.336369i | −0.00563824 | − | 0.0188330i | ||||
\(320\) | 26.1512 | + | 35.1272i | 1.46190 | + | 1.96367i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −14.4198 | − | 7.24188i | −0.803582 | − | 0.403574i | ||||
\(323\) | 3.34769 | 0.186271 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 25.2476 | 1.40049 | ||||||||
\(326\) | 22.1663 | + | 11.1323i | 1.22768 | + | 0.616562i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.94495 | − | 3.95575i | −0.162607 | − | 0.218420i | ||||
\(329\) | 10.2985 | + | 34.3994i | 0.567774 | + | 1.89650i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.43153 | + | 21.8648i | 0.518404 | + | 1.20180i | 0.953495 | + | 0.301409i | \(0.0974569\pi\) |
−0.435091 | + | 0.900386i | \(0.643284\pi\) | |||||||
\(332\) | 1.09523 | + | 6.21136i | 0.0601086 | + | 0.340893i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 8.89581 | − | 50.4507i | 0.486757 | − | 2.76054i | ||||
\(335\) | 7.26368 | − | 1.72152i | 0.396857 | − | 0.0940569i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 15.3690 | + | 10.1084i | 0.837204 | + | 0.550638i | 0.894164 | − | 0.447739i | \(-0.147770\pi\) |
−0.0569604 | + | 0.998376i | \(0.518141\pi\) | |||||||
\(338\) | 0.838832 | − | 14.4022i | 0.0456265 | − | 0.783376i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.06242 | + | 6.88895i | −0.111850 | + | 0.373606i | ||||
\(341\) | −2.80323 | + | 1.02029i | −0.151803 | + | 0.0552519i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.01506 | − | 3.28121i | −0.486767 | − | 0.177169i | ||||
\(344\) | 3.57611 | − | 4.80356i | 0.192811 | − | 0.258990i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 31.9359 | + | 7.56894i | 1.71688 | + | 0.406909i | ||||
\(347\) | 6.69815 | − | 15.5281i | 0.359576 | − | 0.833590i | −0.638383 | − | 0.769719i | \(-0.720396\pi\) |
0.997958 | − | 0.0638707i | \(-0.0203445\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.82361 | + | 4.48796i | −0.365259 | + | 0.240235i | −0.718850 | − | 0.695166i | \(-0.755331\pi\) |
0.353590 | + | 0.935400i | \(0.384961\pi\) | |||||||
\(350\) | 35.8291 | + | 62.0578i | 1.91514 | + | 3.31713i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.02043 | + | 5.23154i | −0.160989 | + | 0.278842i | ||||
\(353\) | 1.43120 | + | 24.5728i | 0.0761752 | + | 1.30788i | 0.792397 | + | 0.610005i | \(0.208833\pi\) |
−0.716222 | + | 0.697872i | \(0.754130\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −26.1143 | + | 3.05233i | −1.38600 | + | 0.162001i | ||||
\(356\) | −9.15584 | + | 9.70462i | −0.485258 | + | 0.514344i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −15.1057 | − | 1.76561i | −0.798363 | − | 0.0933152i | ||||
\(359\) | 9.68682 | − | 8.12821i | 0.511251 | − | 0.428990i | −0.350318 | − | 0.936631i | \(-0.613927\pi\) |
0.861569 | + | 0.507640i | \(0.169482\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.875105 | + | 0.734300i | 0.0460582 | + | 0.0386474i | ||||
\(362\) | 11.2346 | + | 11.9080i | 0.590478 | + | 0.625870i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −18.3504 | + | 9.21593i | −0.961824 | + | 0.483046i | ||||
\(365\) | −27.5913 | + | 13.8569i | −1.44419 | + | 0.725302i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.20152 | + | 7.63317i | 0.375917 | + | 0.398448i | 0.887517 | − | 0.460775i | \(-0.152429\pi\) |
−0.511600 | + | 0.859224i | \(0.670947\pi\) | |||||||
\(368\) | −4.94019 | − | 4.14531i | −0.257525 | − | 0.216089i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 30.0118 | − | 25.1829i | 1.56024 | − | 1.30920i | ||||
\(371\) | 38.1148 | + | 4.45499i | 1.97882 | + | 0.231291i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.09518 | + | 8.58039i | −0.419152 | + | 0.444276i | −0.902200 | − | 0.431319i | \(-0.858048\pi\) |
0.483047 | + | 0.875594i | \(0.339530\pi\) | |||||||
\(374\) | −1.18619 | + | 0.138645i | −0.0613362 | + | 0.00716918i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.631010 | − | 10.8340i | −0.0325418 | − | 0.558722i | ||||
\(377\) | 0.576797 | − | 0.999042i | 0.0297066 | − | 0.0514533i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.06853 | − | 15.7072i | −0.465819 | − | 0.806823i | 0.533419 | − | 0.845851i | \(-0.320907\pi\) |
−0.999238 | + | 0.0390286i | \(0.987574\pi\) | |||||||
\(380\) | −36.1491 | + | 23.7756i | −1.85441 | + | 1.21966i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.44558 | − | 19.5791i | 0.432113 | − | 1.00175i | ||||
\(383\) | −15.0994 | − | 3.57861i | −0.771541 | − | 0.182859i | −0.174053 | − | 0.984736i | \(-0.555686\pi\) |
−0.597488 | + | 0.801878i | \(0.703834\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.86722 | + | 7.88104i | −0.299021 | + | 0.401655i | ||||
\(386\) | 31.7952 | + | 11.5725i | 1.61833 | + | 0.589025i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −22.0802 | + | 8.03653i | −1.12095 | + | 0.407993i | ||||
\(389\) | −4.42661 | + | 14.7859i | −0.224438 | + | 0.749675i | 0.769393 | + | 0.638775i | \(0.220559\pi\) |
−0.993832 | + | 0.110900i | \(0.964627\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.0991778 | − | 1.70282i | 0.00501563 | − | 0.0861151i | ||||
\(392\) | −3.47268 | − | 2.28402i | −0.175397 | − | 0.115360i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −22.5842 | + | 5.35254i | −1.13777 | + | 0.269657i | ||||
\(395\) | −2.91816 | + | 16.5497i | −0.146828 | + | 0.832705i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.354695 | + | 2.01157i | 0.0178016 | + | 0.100958i | 0.992414 | − | 0.122941i | \(-0.0392326\pi\) |
−0.974612 | + | 0.223899i | \(0.928121\pi\) | |||||||
\(398\) | 2.94201 | + | 6.82036i | 0.147470 | + | 0.341874i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.21372 | + | 27.4357i | 0.410686 | + | 1.37179i | ||||
\(401\) | −8.93000 | − | 11.9951i | −0.445943 | − | 0.599005i | 0.521139 | − | 0.853472i | \(-0.325507\pi\) |
−0.967081 | + | 0.254467i | \(0.918100\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −8.75850 | − | 4.39868i | −0.436292 | − | 0.219114i | ||||
\(404\) | 30.4790 | 1.51639 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.27415 | 0.162493 | ||||||||
\(407\) | 3.21660 | + | 1.61544i | 0.159441 | + | 0.0800744i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.20362 | + | 8.33291i | 0.306749 | + | 0.412036i | 0.928590 | − | 0.371108i | \(-0.121022\pi\) |
−0.621840 | + | 0.783144i | \(0.713615\pi\) | |||||||
\(410\) | −11.5574 | − | 38.6042i | −0.570777 | − | 1.90653i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 16.3512 | + | 37.9064i | 0.805567 | + | 1.86751i | ||||
\(413\) | −2.40300 | − | 13.6281i | −0.118244 | − | 0.670595i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.72170 | + | 9.76427i | −0.0845151 | + | 0.479309i | ||||
\(416\) | −19.3121 | + | 4.57705i | −0.946853 | + | 0.224408i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −6.00350 | − | 3.94856i | −0.293641 | − | 0.193131i | ||||
\(419\) | 0.0308229 | − | 0.529208i | 0.00150580 | − | 0.0258535i | −0.997472 | − | 0.0710667i | \(-0.977360\pi\) |
0.998977 | + | 0.0452132i | \(0.0143967\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 9.19654 | − | 30.7186i | 0.448212 | − | 1.49713i | −0.373717 | − | 0.927543i | \(-0.621917\pi\) |
0.821929 | − | 0.569590i | \(-0.192898\pi\) | |||||||
\(422\) | 15.2765 | − | 5.56019i | 0.743649 | − | 0.270666i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −10.8984 | − | 3.96668i | −0.529272 | − | 0.192639i | ||||
\(425\) | −4.52334 | + | 6.07590i | −0.219414 | + | 0.294724i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.867198 | − | 0.205530i | −0.0419666 | − | 0.00994628i | ||||
\(428\) | 3.62318 | − | 8.39947i | 0.175133 | − | 0.406004i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 40.8835 | − | 26.8895i | 1.97158 | − | 1.29673i | ||||
\(431\) | 2.69146 | + | 4.66175i | 0.129643 | + | 0.224549i | 0.923538 | − | 0.383506i | \(-0.125283\pi\) |
−0.793895 | + | 0.608055i | \(0.791950\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −16.6465 | + | 28.8325i | −0.799978 | + | 1.38560i | 0.119652 | + | 0.992816i | \(0.461822\pi\) |
−0.919630 | + | 0.392787i | \(0.871511\pi\) | |||||||
\(434\) | −1.61743 | − | 27.7703i | −0.0776394 | − | 1.33302i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 42.6489 | − | 4.98494i | 2.04251 | − | 0.238735i | ||||
\(437\) | 7.04280 | − | 7.46493i | 0.336903 | − | 0.357096i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 18.5556 | + | 2.16884i | 0.885612 | + | 0.103513i | 0.546723 | − | 0.837313i | \(-0.315875\pi\) |
0.338889 | + | 0.940827i | \(0.389949\pi\) | |||||||
\(440\) | 2.27474 | − | 1.90873i | 0.108444 | − | 0.0909953i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.00574 | − | 2.52212i | −0.142968 | − | 0.119965i | ||||
\(443\) | −12.9497 | − | 13.7259i | −0.615260 | − | 0.652138i | 0.342563 | − | 0.939495i | \(-0.388705\pi\) |
−0.957824 | + | 0.287357i | \(0.907223\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −18.7427 | + | 9.41296i | −0.888491 | + | 0.446217i | ||||
\(446\) | 20.5034 | − | 10.2972i | 0.970862 | − | 0.487585i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −25.7468 | − | 27.2900i | −1.21642 | − | 1.28933i | ||||
\(449\) | 5.33643 | + | 4.47780i | 0.251842 | + | 0.211320i | 0.759965 | − | 0.649964i | \(-0.225216\pi\) |
−0.508123 | + | 0.861284i | \(0.669661\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.83615 | − | 2.37981i | 0.133549 | − | 0.112061i | ||||
\(452\) | −25.3569 | − | 2.96379i | −1.19269 | − | 0.139405i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −15.7698 | + | 16.7150i | −0.740113 | + | 0.784474i | ||||
\(455\) | −32.0622 | + | 3.74754i | −1.50310 | + | 0.175687i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.18611 | − | 37.5341i | −0.102262 | − | 1.75577i | −0.526459 | − | 0.850201i | \(-0.676481\pi\) |
0.424197 | − | 0.905570i | \(-0.360556\pi\) | |||||||
\(458\) | −2.42197 | + | 4.19498i | −0.113171 | + | 0.196018i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 11.0226 | + | 19.0917i | 0.513932 | + | 0.890157i | ||||
\(461\) | −23.0904 | + | 15.1868i | −1.07543 | + | 0.707320i | −0.958291 | − | 0.285796i | \(-0.907742\pi\) |
−0.117137 | + | 0.993116i | \(0.537372\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.73063 | − | 22.5581i | 0.452220 | − | 1.04836i | −0.527782 | − | 0.849380i | \(-0.676976\pi\) |
0.980003 | − | 0.198985i | \(-0.0637645\pi\) | |||||||
\(464\) | 1.27327 | + | 0.301771i | 0.0591102 | + | 0.0140094i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −22.5033 | + | 30.2271i | −1.04244 | + | 1.40025i | ||||
\(467\) | 7.38677 | + | 2.68856i | 0.341819 | + | 0.124412i | 0.507225 | − | 0.861814i | \(-0.330671\pi\) |
−0.165406 | + | 0.986226i | \(0.552893\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.00971 | + | 2.18735i | −0.277503 | + | 0.101003i | ||||
\(470\) | 25.4329 | − | 84.9517i | 1.17313 | − | 3.91853i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.243182 | + | 4.17527i | −0.0111933 | + | 0.192182i | ||||
\(473\) | 3.75620 | + | 2.47049i | 0.172710 | + | 0.113593i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −44.3473 | + | 10.5105i | −2.03479 | + | 0.482255i | ||||
\(476\) | 1.06981 | − | 6.06719i | 0.0490346 | − | 0.278089i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.50659 | + | 25.5581i | 0.206127 | + | 1.16900i | ||||
\(479\) | 7.01520 | + | 16.2631i | 0.320533 | + | 0.743079i | 0.999956 | + | 0.00933231i | \(0.00297061\pi\) |
−0.679424 | + | 0.733746i | \(0.737770\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.39173 | + | 11.3292i | 0.154649 | + | 0.516565i | ||||
\(482\) | 22.1096 | + | 29.6983i | 1.00706 | + | 1.35272i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −23.0758 | − | 11.5891i | −1.04890 | − | 0.526778i | ||||
\(485\) | −36.9377 | −1.67725 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −42.1146 | −1.90840 | −0.954198 | − | 0.299175i | \(-0.903289\pi\) | ||||
−0.954198 | + | 0.299175i | \(0.903289\pi\) | |||||||
\(488\) | 0.240702 | + | 0.120885i | 0.0108961 | + | 0.00547221i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −20.2815 | − | 27.2428i | −0.916226 | − | 1.23071i | ||||
\(491\) | −2.08723 | − | 6.97182i | −0.0941952 | − | 0.314634i | 0.897887 | − | 0.440227i | \(-0.145102\pi\) |
−0.992082 | + | 0.125593i | \(0.959917\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.137083 | + | 0.317795i | 0.00617392 | + | 0.0143128i | ||||
\(494\) | −4.09952 | − | 23.2495i | −0.184446 | − | 1.04604i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.93053 | − | 10.9486i | 0.0866833 | − | 0.491606i | ||||
\(497\) | 21.9180 | − | 5.19467i | 0.983158 | − | 0.233013i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.4764 | − | 8.86359i | −0.603288 | − | 0.396789i | 0.210801 | − | 0.977529i | \(-0.432393\pi\) |
−0.814089 | + | 0.580740i | \(0.802763\pi\) | |||||||
\(500\) | 2.88961 | − | 49.6128i | 0.129228 | − | 2.21875i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.4202 | − | 38.1462i | 0.509710 | − | 1.70255i | ||||
\(503\) | −34.7114 | + | 12.6339i | −1.54771 | + | 0.563319i | −0.967878 | − | 0.251421i | \(-0.919102\pi\) |
−0.579827 | + | 0.814739i | \(0.696880\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 45.0235 | + | 16.3872i | 2.00352 | + | 0.729221i | ||||
\(506\) | −2.18631 | + | 2.93672i | −0.0971933 | + | 0.130553i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −31.8389 | − | 7.54597i | −1.41262 | − | 0.334798i | ||||
\(509\) | −4.62698 | + | 10.7265i | −0.205087 | + | 0.475445i | −0.989453 | − | 0.144853i | \(-0.953729\pi\) |
0.784366 | + | 0.620298i | \(0.212988\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 22.1002 | − | 14.5355i | 0.977656 | − | 0.643015i | ||||
\(512\) | −14.0992 | − | 24.4205i | −0.623101 | − | 1.07924i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 18.2411 | − | 31.5945i | 0.804580 | − | 1.39357i | ||||
\(515\) | 3.77339 | + | 64.7866i | 0.166276 | + | 2.85484i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.09218 | − | 0.945840i | 0.355894 | − | 0.0415980i | ||||
\(518\) | −23.0334 | + | 24.4140i | −1.01203 | + | 1.07269i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 9.69012 | + | 1.13261i | 0.424940 | + | 0.0496683i | ||||
\(521\) | 0.659940 | − | 0.553755i | 0.0289125 | − | 0.0242605i | −0.628217 | − | 0.778038i | \(-0.716215\pi\) |
0.657129 | + | 0.753778i | \(0.271771\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.06895 | − | 5.09246i | −0.265377 | − | 0.222678i | 0.500383 | − | 0.865804i | \(-0.333192\pi\) |
−0.765760 | + | 0.643126i | \(0.777637\pi\) | |||||||
\(524\) | 17.0985 | + | 18.1233i | 0.746951 | + | 0.791721i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 46.5332 | − | 23.3699i | 2.02894 | − | 1.01897i | ||||
\(527\) | 2.62772 | − | 1.31969i | 0.114465 | − | 0.0574866i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.1951 | + | 12.9261i | 0.530224 | + | 0.562004i | ||||
\(530\) | −72.5967 | − | 60.9158i | −3.15340 | − | 2.64601i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 28.3958 | − | 23.8269i | 1.23112 | − | 1.03303i | ||||
\(533\) | 12.0817 | + | 1.41214i | 0.523314 | + | 0.0611667i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.86818 | − | 10.4597i | 0.426639 | − | 0.452211i | ||||
\(536\) | 1.91980 | − | 0.224393i | 0.0829228 | − | 0.00969228i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.31004 | + | 22.4925i | 0.0564797 | + | 0.969720i | ||||
\(539\) | 1.56020 | − | 2.70235i | 0.0672028 | − | 0.116399i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.01461 | + | 10.4176i | 0.258588 | + | 0.447888i | 0.965864 | − | 0.259050i | \(-0.0834094\pi\) |
−0.707276 | + | 0.706938i | \(0.750076\pi\) | |||||||
\(542\) | 8.33703 | − | 5.48335i | 0.358106 | − | 0.235530i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.35846 | − | 5.46752i | 0.101118 | − | 0.234418i | ||||
\(545\) | 65.6811 | + | 15.5667i | 2.81347 | + | 0.666804i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.81051 | + | 5.11840i | −0.162926 | + | 0.218847i | −0.876087 | − | 0.482152i | \(-0.839855\pi\) |
0.713162 | + | 0.701000i | \(0.247263\pi\) | |||||||
\(548\) | −22.0342 | − | 8.01980i | −0.941255 | − | 0.342589i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 15.2783 | − | 5.56083i | 0.651467 | − | 0.237115i | ||||
\(551\) | −0.597243 | + | 1.99493i | −0.0254434 | + | 0.0849868i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.837130 | − | 14.3730i | 0.0355984 | − | 0.611201i | ||||
\(554\) | 11.6873 | + | 7.68684i | 0.496545 | + | 0.326583i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −25.3023 | + | 5.99677i | −1.07306 | + | 0.254320i | ||||
\(557\) | 6.99671 | − | 39.6803i | 0.296460 | − | 1.68131i | −0.364747 | − | 0.931107i | \(-0.618844\pi\) |
0.661207 | − | 0.750203i | \(-0.270044\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.56494 | + | 14.5465i | 0.108485 | + | 0.615251i | ||||
\(560\) | −14.5030 | − | 33.6218i | −0.612864 | − | 1.42078i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.50257 | − | 5.01892i | −0.0633820 | − | 0.211711i | ||||
\(563\) | 0.946894 | + | 1.27190i | 0.0399068 | + | 0.0536042i | 0.821629 | − | 0.570023i | \(-0.193066\pi\) |
−0.781722 | + | 0.623627i | \(0.785658\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −35.8637 | − | 18.0114i | −1.50880 | − | 0.757745i | ||||
\(566\) | 1.96163 | 0.0824536 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.80775 | −0.285647 | ||||||||
\(569\) | −9.86944 | − | 4.95662i | −0.413748 | − | 0.207792i | 0.229733 | − | 0.973254i | \(-0.426215\pi\) |
−0.643482 | + | 0.765461i | \(0.722511\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.72230 | + | 6.34315i | 0.197622 | + | 0.265452i | 0.889877 | − | 0.456201i | \(-0.150790\pi\) |
−0.692255 | + | 0.721653i | \(0.743383\pi\) | |||||||
\(572\) | 1.33627 | + | 4.46345i | 0.0558722 | + | 0.186626i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 13.6742 | + | 31.7002i | 0.570748 | + | 1.32314i | ||||
\(575\) | 4.03238 | + | 22.8688i | 0.168162 | + | 0.953695i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.01656 | + | 45.4642i | −0.333734 | + | 1.89270i | 0.105658 | + | 0.994402i | \(0.466305\pi\) |
−0.439392 | + | 0.898295i | \(0.644806\pi\) | |||||||
\(578\) | −33.8529 | + | 8.02328i | −1.40809 | + | 0.333724i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −3.73726 | − | 2.45804i | −0.155181 | − | 0.102064i | ||||
\(581\) | 0.493904 | − | 8.48001i | 0.0204906 | − | 0.351810i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.49717 | − | 8.34111i | 0.103422 | − | 0.345454i | ||||
\(584\) | −7.51238 | + | 2.73428i | −0.310865 | + | 0.113145i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.66235 | + | 1.69696i | 0.192600 | + | 0.0701007i | ||||
\(587\) | −21.9518 | + | 29.4864i | −0.906049 | + | 1.21703i | 0.0695732 | + | 0.997577i | \(0.477836\pi\) |
−0.975622 | + | 0.219458i | \(0.929571\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 17.2154 | + | 4.08013i | 0.709348 | + | 0.168119i | ||||
\(590\) | −13.5360 | + | 31.3799i | −0.557266 | + | 1.29189i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −11.2076 | + | 7.37135i | −0.460629 | + | 0.302960i | ||||
\(593\) | 7.17407 | + | 12.4258i | 0.294604 | + | 0.510268i | 0.974893 | − | 0.222676i | \(-0.0714791\pi\) |
−0.680289 | + | 0.732944i | \(0.738146\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.84238 | − | 8.38725i | 0.198518 | − | 0.343844i | ||||
\(596\) | 1.78972 | + | 30.7283i | 0.0733099 | + | 1.25868i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −11.9474 | + | 1.39645i | −0.488565 | + | 0.0571051i | ||||
\(599\) | −8.93203 | + | 9.46739i | −0.364953 | + | 0.386827i | −0.883664 | − | 0.468122i | \(-0.844931\pi\) |
0.518711 | + | 0.854950i | \(0.326412\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.25526 | + | 0.731135i | 0.255157 | + | 0.0298236i | 0.242710 | − | 0.970099i | \(-0.421964\pi\) |
0.0124474 | + | 0.999923i | \(0.496038\pi\) | |||||||
\(602\) | −32.1148 | + | 26.9476i | −1.30890 | + | 1.09830i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −34.5775 | − | 29.0140i | −1.40694 | − | 1.18056i | ||||
\(605\) | −27.8566 | − | 29.5263i | −1.13253 | − | 1.20042i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.7509 | − | 5.90153i | 0.476955 | − | 0.239536i | −0.194046 | − | 0.980992i | \(-0.562161\pi\) |
0.671001 | + | 0.741457i | \(0.265865\pi\) | |||||||
\(608\) | 32.0162 | − | 16.0791i | 1.29843 | − | 0.652094i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.51037 | + | 1.60090i | 0.0611532 | + | 0.0648186i | ||||
\(611\) | 20.5052 | + | 17.2059i | 0.829552 | + | 0.696076i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −28.3321 | + | 23.7734i | −1.14432 | + | 0.960200i | −0.999572 | − | 0.0292684i | \(-0.990682\pi\) |
−0.144750 | + | 0.989468i | \(0.546238\pi\) | |||||||
\(614\) | 32.0634 | + | 3.74767i | 1.29397 | + | 0.151244i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.74581 | + | 1.85046i | −0.0703409 | + | 0.0745570i | ||||
\(617\) | 32.2582 | − | 3.77044i | 1.29867 | − | 0.151792i | 0.561484 | − | 0.827487i | \(-0.310231\pi\) |
0.737181 | + | 0.675695i | \(0.236156\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2.49564 | + | 42.8485i | 0.100308 | + | 1.72223i | 0.555232 | + | 0.831696i | \(0.312629\pi\) |
−0.454924 | + | 0.890530i | \(0.650333\pi\) | |||||||
\(620\) | −19.0021 | + | 32.9126i | −0.763142 | + | 1.32180i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −17.7127 | − | 30.6793i | −0.710215 | − | 1.23013i | ||||
\(623\) | 15.0127 | − | 9.87398i | 0.601470 | − | 0.395593i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.8323 | − | 25.1120i | 0.433290 | − | 1.00448i | ||||
\(626\) | 67.0595 | + | 15.8934i | 2.68024 | + | 0.635228i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 34.5627 | − | 46.4258i | 1.37920 | − | 1.85259i | ||||
\(629\) | −3.33404 | − | 1.21349i | −0.132937 | − | 0.0483851i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.0635 | − | 4.75472i | 0.520049 | − | 0.189282i | −0.0686408 | − | 0.997641i | \(-0.521866\pi\) |
0.588690 | + | 0.808359i | \(0.299644\pi\) | |||||||
\(632\) | −1.24796 | + | 4.16848i | −0.0496412 | + | 0.165813i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.66595 | − | 45.7726i | 0.105878 | − | 1.81786i | ||||
\(635\) | −42.9753 | − | 28.2653i | −1.70542 | − | 1.12167i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.97568 | − | 2.36428i | 0.395251 | − | 0.0936761i | ||||
\(638\) | 0.129000 | − | 0.731597i | 0.00510717 | − | 0.0289642i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 5.29656 | + | 30.0383i | 0.209365 | + | 1.18737i | ||||
\(641\) | 1.03758 | + | 2.40538i | 0.0409819 | + | 0.0950068i | 0.937477 | − | 0.348046i | \(-0.113155\pi\) |
−0.896496 | + | 0.443053i | \(0.853895\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.0293991 | + | 0.0981997i | 0.00115939 | + | 0.00387262i | 0.958567 | − | 0.284866i | \(-0.0919492\pi\) |
−0.957408 | + | 0.288739i | \(0.906764\pi\) | |||||||
\(644\) | −11.2784 | − | 15.1495i | −0.444432 | − | 0.596975i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.32951 | + | 3.17880i | 0.249031 | + | 0.125068i | ||||
\(647\) | 25.1564 | 0.988998 | 0.494499 | − | 0.869178i | \(-0.335351\pi\) | ||||
0.494499 | + | 0.869178i | \(0.335351\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.13983 | −0.123249 | ||||||||
\(650\) | 47.7359 | + | 23.9739i | 1.87236 | + | 0.940332i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 17.3373 | + | 23.2881i | 0.678982 | + | 0.912031i | ||||
\(653\) | −2.13941 | − | 7.14613i | −0.0837217 | − | 0.279650i | 0.905870 | − | 0.423557i | \(-0.139219\pi\) |
−0.989591 | + | 0.143907i | \(0.954033\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 15.5137 | + | 35.9649i | 0.606172 | + | 1.40526i | ||||
\(656\) | 2.39595 | + | 13.5881i | 0.0935463 | + | 0.530527i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −13.1924 | + | 74.8181i | −0.514295 | + | 2.91671i | ||||
\(659\) | −15.8217 | + | 3.74981i | −0.616325 | + | 0.146072i | −0.526908 | − | 0.849922i | \(-0.676649\pi\) |
−0.0894175 | + | 0.995994i | \(0.528501\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.7657 | − | 10.3693i | −0.613214 | − | 0.403318i | 0.204562 | − | 0.978854i | \(-0.434423\pi\) |
−0.817776 | + | 0.575536i | \(0.804793\pi\) | |||||||
\(662\) | −2.92938 | + | 50.2956i | −0.113854 | + | 1.95479i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.736294 | + | 2.45939i | −0.0285737 | + | 0.0954429i | ||||
\(665\) | 54.7570 | − | 19.9299i | 2.12339 | − | 0.772849i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.997034 | + | 0.362891i | 0.0386053 | + | 0.0140512i | ||||
\(668\) | 35.8067 | − | 48.0967i | 1.38540 | − | 1.86092i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 15.3682 | + | 3.64233i | 0.593725 | + | 0.140715i | ||||
\(671\) | −0.0800923 | + | 0.185675i | −0.00309193 | + | 0.00716789i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.83522 | − | 4.49560i | 0.263478 | − | 0.173293i | −0.410896 | − | 0.911682i | \(-0.634784\pi\) |
0.674374 | + | 0.738390i | \(0.264414\pi\) | |||||||
\(674\) | 19.4599 | + | 33.7056i | 0.749569 | + | 1.29829i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 8.44293 | − | 14.6236i | 0.324728 | − | 0.562445i | ||||
\(677\) | −1.34268 | − | 23.0529i | −0.0516033 | − | 0.885995i | −0.920437 | − | 0.390891i | \(-0.872167\pi\) |
0.868834 | − | 0.495104i | \(-0.164870\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 31.4316 | − | 3.67383i | 1.20623 | − | 0.140989i | ||||
\(680\) | −2.00864 | + | 2.12903i | −0.0770277 | + | 0.0816446i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −6.26891 | − | 0.732730i | −0.240049 | − | 0.0280577i | ||||
\(683\) | 14.3566 | − | 12.0466i | 0.549340 | − | 0.460951i | −0.325378 | − | 0.945584i | \(-0.605491\pi\) |
0.874717 | + | 0.484633i | \(0.161047\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −28.2370 | − | 23.6937i | −1.07888 | − | 0.905289i | ||||
\(686\) | −13.9292 | − | 14.7641i | −0.531818 | − | 0.563694i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −14.9727 | + | 7.51959i | −0.570830 | + | 0.286682i | ||||
\(689\) | 25.5635 | − | 12.8385i | 0.973892 | − | 0.489107i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.56302 | + | 4.83652i | 0.173586 | + | 0.183990i | 0.808325 | − | 0.588736i | \(-0.200374\pi\) |
−0.634740 | + | 0.772726i | \(0.718893\pi\) | |||||||
\(692\) | 29.4279 | + | 24.6929i | 1.11868 | + | 0.938684i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 27.4089 | − | 22.9988i | 1.04043 | − | 0.873023i | ||||
\(695\) | −40.6008 | − | 4.74555i | −1.54008 | − | 0.180009i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.50437 | + | 2.65448i | −0.0948598 | + | 0.100546i | ||||
\(698\) | −17.1630 | + | 2.00607i | −0.649629 | + | 0.0759307i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 4.87681 | + | 83.7316i | 0.184326 | + | 3.16476i | ||||
\(701\) | −12.1477 | + | 21.0405i | −0.458813 | + | 0.794687i | −0.998899 | − | 0.0469230i | \(-0.985058\pi\) |
0.540086 | + | 0.841610i | \(0.318392\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.6738 | − | 18.4876i | −0.402571 | − | 0.697274i | ||||
\(704\) | −7.11227 | + | 4.67782i | −0.268054 | + | 0.176302i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −20.6271 | + | 47.8190i | −0.776311 | + | 1.79969i | ||||
\(707\) | −39.9420 | − | 9.46643i | −1.50217 | − | 0.356022i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.8682 | − | 24.0012i | 0.671054 | − | 0.901382i | −0.328008 | − | 0.944675i | \(-0.606377\pi\) |
0.999062 | + | 0.0432925i | \(0.0137847\pi\) | |||||||
\(710\) | −52.2729 | − | 19.0258i | −1.96177 | − | 0.714024i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.10315 | + | 1.85740i | −0.191249 | + | 0.0696089i | ||||
\(713\) | 2.58539 | − | 8.63580i | 0.0968236 | − | 0.323413i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.425867 | + | 7.31185i | −0.0159265 | + | 0.273448i | ||||
\(716\) | −14.8726 | − | 9.78188i | −0.555816 | − | 0.365566i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 26.0331 | − | 6.16995i | 0.971546 | − | 0.230261i | ||||
\(719\) | 2.12889 | − | 12.0735i | 0.0793943 | − | 0.450267i | −0.919032 | − | 0.394183i | \(-0.871027\pi\) |
0.998426 | − | 0.0560838i | \(-0.0178614\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.65461 | − | 54.7540i | −0.359556 | − | 2.03915i | ||||
\(722\) | 0.957314 | + | 2.21930i | 0.0356275 | + | 0.0825939i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.49571 | + | 18.3570i | 0.204247 | + | 0.682231i | ||||
\(725\) | −2.81372 | − | 3.77948i | −0.104499 | − | 0.140366i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −43.8058 | − | 22.0001i | −1.62467 | − | 0.815938i | −0.999368 | − | 0.0355521i | \(-0.988681\pi\) |
−0.625298 | − | 0.780386i | \(-0.715023\pi\) | |||||||
\(728\) | −8.35832 | −0.309780 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −65.3249 | −2.41778 | ||||||||
\(731\) | −3.96018 | − | 1.98888i | −0.146472 | − | 0.0735612i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −12.0622 | − | 16.2024i | −0.445528 | − | 0.598448i | 0.521458 | − | 0.853277i | \(-0.325388\pi\) |
−0.966986 | + | 0.254829i | \(0.917981\pi\) | |||||||
\(734\) | 6.36791 | + | 21.2703i | 0.235044 | + | 0.785101i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.23020 | − | 16.7615i | −0.266509 | − | 0.617837i | ||||
\(737\) | 0.251977 | + | 1.42903i | 0.00928168 | + | 0.0526390i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.349401 | − | 1.98155i | 0.0128529 | − | 0.0728925i | −0.977707 | − | 0.209975i | \(-0.932662\pi\) |
0.990560 | + | 0.137083i | \(0.0437727\pi\) | |||||||
\(740\) | 44.6200 | − | 10.5751i | 1.64027 | − | 0.388750i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 67.8338 | + | 44.6150i | 2.49026 | + | 1.63787i | ||||
\(743\) | 1.25430 | − | 21.5356i | 0.0460160 | − | 0.790064i | −0.893818 | − | 0.448431i | \(-0.851983\pi\) |
0.939834 | − | 0.341633i | \(-0.110980\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −13.8775 | + | 46.3541i | −0.508433 | + | 1.69828i | ||||
\(746\) | −23.4531 | + | 8.53624i | −0.858680 | + | 0.312534i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.31354 | − | 0.478091i | −0.0480279 | − | 0.0174807i | ||||
\(749\) | −7.35687 | + | 9.88200i | −0.268814 | + | 0.361080i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −14.0873 | − | 3.33875i | −0.514053 | − | 0.121833i | −0.0346015 | − | 0.999401i | \(-0.511016\pi\) |
−0.479451 | + | 0.877568i | \(0.659164\pi\) | |||||||
\(752\) | −12.0262 | + | 27.8798i | −0.438550 | + | 1.01667i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.03919 | − | 1.34120i | 0.0742631 | − | 0.0488436i | ||||
\(755\) | −35.4783 | − | 61.4503i | −1.29119 | − | 2.23640i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.26451 | + | 9.11840i | −0.191342 | + | 0.331414i | −0.945695 | − | 0.325055i | \(-0.894617\pi\) |
0.754353 | + | 0.656469i | \(0.227951\pi\) | |||||||
\(758\) | −2.23123 | − | 38.3087i | −0.0810418 | − | 1.39143i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −17.4921 | + | 2.04454i | −0.634506 | + | 0.0741632i | ||||
\(761\) | −29.0111 | + | 30.7500i | −1.05165 | + | 1.11469i | −0.0584483 | + | 0.998290i | \(0.518615\pi\) |
−0.993203 | + | 0.116395i | \(0.962866\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −57.4387 | − | 6.71362i | −2.07942 | − | 0.243049i | ||||
\(764\) | 19.1188 | − | 16.0425i | 0.691693 | − | 0.580399i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −25.1504 | − | 21.1037i | −0.908721 | − | 0.762507i | ||||
\(767\) | −7.07916 | − | 7.50347i | −0.255614 | − | 0.270935i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8.05989 | + | 4.04783i | −0.290647 | + | 0.145968i | −0.588149 | − | 0.808753i | \(-0.700143\pi\) |
0.297501 | + | 0.954721i | \(0.403847\pi\) | |||||||
\(770\) | −18.5766 | + | 9.32953i | −0.669455 | + | 0.336213i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 27.1777 | + | 28.8066i | 0.978145 | + | 1.03677i | ||||
\(773\) | −0.551231 | − | 0.462537i | −0.0198264 | − | 0.0166363i | 0.632821 | − | 0.774298i | \(-0.281897\pi\) |
−0.652647 | + | 0.757662i | \(0.726342\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −30.6663 | + | 25.7321i | −1.10157 | + | 0.924325i | ||||
\(776\) | −9.49953 | − | 1.11034i | −0.341013 | − | 0.0398587i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −22.4094 | + | 23.7526i | −0.803415 | + | 0.851570i | ||||
\(779\) | −21.8092 | + | 2.54913i | −0.781396 | + | 0.0913321i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.297168 | − | 5.10218i | −0.0106335 | − | 0.182570i | ||||
\(782\) | 1.80442 | − | 3.12535i | 0.0645261 | − | 0.111762i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.81453 | + | 10.0711i | 0.207662 | + | 0.359681i | ||||
\(785\) | 76.0171 | − | 49.9972i | 2.71317 | − | 1.78448i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.11050 | − | 14.1657i | 0.217816 | − | 0.504953i | −0.773915 | − | 0.633289i | \(-0.781704\pi\) |
0.991731 | + | 0.128336i | \(0.0409636\pi\) | |||||||
\(788\) | −26.4340 | − | 6.26497i | −0.941672 | − | 0.223180i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −21.2321 | + | 28.5197i | −0.755405 | + | 1.01469i | ||||
\(791\) | 32.3091 | + | 11.7595i | 1.14878 | + | 0.418121i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.624297 | + | 0.227226i | −0.0221695 | + | 0.00806902i | ||||
\(794\) | −1.23946 | + | 4.14010i | −0.0439869 | + | 0.146927i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.505513 | + | 8.67932i | −0.0179174 | + | 0.307630i | ||||
\(797\) | 11.6388 | + | 7.65494i | 0.412266 | + | 0.271152i | 0.738655 | − | 0.674084i | \(-0.235461\pi\) |
−0.326389 | + | 0.945236i | \(0.605832\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.81433 | + | 1.85203i | −0.276451 | + | 0.0655201i | ||||
\(800\) | −14.0768 | + | 79.8335i | −0.497690 | + | 2.82254i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −5.49411 | − | 31.1586i | −0.194004 | − | 1.10025i | ||||
\(803\) | −2.37718 | − | 5.51092i | −0.0838888 | − | 0.194476i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −8.51521 | − | 28.4428i | −0.300122 | − | 1.00248i | ||||
\(806\) | −12.3830 | − | 16.6333i | −0.436173 | − | 0.585881i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.0864 | + | 5.56781i | 0.390019 | + | 0.195875i | ||||
\(809\) | 40.8781 | 1.43720 | 0.718599 | − | 0.695424i | \(-0.244784\pi\) | ||||
0.718599 | + | 0.695424i | \(0.244784\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 51.1039 | 1.79450 | 0.897250 | − | 0.441524i | \(-0.145562\pi\) | ||||
0.897250 | + | 0.441524i | \(0.145562\pi\) | |||||||
\(812\) | 3.42465 | + | 1.71992i | 0.120182 | + | 0.0603575i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.54772 | + | 6.10865i | 0.159398 | + | 0.214108i | ||||
\(815\) | 13.0897 | + | 43.7226i | 0.458512 | + | 1.53154i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −10.5610 | − | 24.4830i | −0.369481 | − | 0.856553i | ||||
\(818\) | 3.81673 | + | 21.6457i | 0.133449 | + | 0.756825i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 8.19037 | − | 46.4499i | 0.286020 | − | 1.62210i | ||||
\(821\) | 47.2620 | − | 11.2013i | 1.64946 | − | 0.390928i | 0.702345 | − | 0.711836i | \(-0.252136\pi\) |
0.947110 | + | 0.320908i | \(0.103988\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −22.5809 | − | 14.8517i | −0.787119 | − | 0.517696i | 0.0911649 | − | 0.995836i | \(-0.470941\pi\) |
−0.878284 | + | 0.478139i | \(0.841311\pi\) | |||||||
\(824\) | −0.977036 | + | 16.7751i | −0.0340367 | + | 0.584387i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.39718 | − | 28.0485i | 0.292175 | − | 0.975934i | ||||
\(827\) | 14.9793 | − | 5.45201i | 0.520880 | − | 0.189585i | −0.0681816 | − | 0.997673i | \(-0.521720\pi\) |
0.589062 | + | 0.808088i | \(0.299497\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.59698 | + | 0.581253i | 0.0554654 | + | 0.0201877i | 0.369604 | − | 0.929189i | \(-0.379493\pi\) |
−0.314138 | + | 0.949377i | \(0.601716\pi\) | |||||||
\(830\) | −12.5269 | + | 16.8265i | −0.434815 | + | 0.584058i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −27.2144 | − | 6.44994i | −0.943490 | − | 0.223611i | ||||
\(833\) | −1.21826 | + | 2.82425i | −0.0422103 | + | 0.0978545i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 78.7531 | − | 51.7967i | 2.72536 | − | 1.79250i | ||||
\(836\) | −4.20527 | − | 7.28373i | −0.145442 | − | 0.251913i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.560786 | − | 0.971310i | 0.0193720 | − | 0.0335534i | ||||
\(839\) | −2.69510 | − | 46.2731i | −0.0930453 | − | 1.59753i | −0.645353 | − | 0.763885i | \(-0.723290\pi\) |
0.552307 | − | 0.833641i | \(-0.313747\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 28.5901 | − | 3.34170i | 0.985865 | − | 0.115231i | ||||
\(842\) | 46.5568 | − | 49.3473i | 1.60445 | − | 1.70062i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 18.8995 | + | 2.20904i | 0.650548 | + | 0.0760382i | ||||
\(845\) | 20.3343 | − | 17.0625i | 0.699523 | − | 0.586969i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 26.6409 | + | 22.3544i | 0.915393 | + | 0.768106i | ||||
\(848\) | 22.2676 | + | 23.6023i | 0.764673 | + | 0.810506i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −14.3217 | + | 7.19262i | −0.491229 | + | 0.246705i | ||||
\(851\) | −9.72001 | + | 4.88157i | −0.333198 | + | 0.167338i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 16.6035 | + | 17.5986i | 0.568492 | + | 0.602566i | 0.946289 | − | 0.323322i | \(-0.104800\pi\) |
−0.377797 | + | 0.925888i | \(0.623318\pi\) | |||||||
\(854\) | −1.44446 | − | 1.21204i | −0.0494283 | − | 0.0414753i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.85228 | − | 2.39335i | 0.0974891 | − | 0.0818031i | ||||
\(857\) | −12.7419 | − | 1.48931i | −0.435254 | − | 0.0508739i | −0.104355 | − | 0.994540i | \(-0.533278\pi\) |
−0.330899 | + | 0.943666i | \(0.607352\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.0817 | + | 14.9257i | −0.480461 | + | 0.509259i | −0.921579 | − | 0.388190i | \(-0.873100\pi\) |
0.441118 | + | 0.897449i | \(0.354582\pi\) | |||||||
\(860\) | 56.8880 | − | 6.64926i | 1.93987 | − | 0.226738i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.662209 | + | 11.3697i | 0.0225549 | + | 0.387253i | ||||
\(863\) | −18.5110 | + | 32.0620i | −0.630121 | + | 1.09140i | 0.357405 | + | 0.933949i | \(0.383662\pi\) |
−0.987527 | + | 0.157453i | \(0.949672\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 30.1945 | + | 52.2984i | 1.02664 | + | 1.77820i | ||||
\(866\) | −58.8515 | + | 38.7072i | −1.99986 | + | 1.31533i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 12.8961 | − | 29.8965i | 0.437721 | − | 1.01475i | ||||
\(869\) | −3.17861 | − | 0.753344i | −0.107827 | − | 0.0255555i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.84694 | + | 3.82410i | −0.0964648 | + | 0.129575i | ||||
\(872\) | 16.4237 | + | 5.97775i | 0.556178 | + | 0.202432i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 20.4042 | − | 7.42652i | 0.690182 | − | 0.251206i | ||||
\(875\) | −19.1959 | + | 64.1189i | −0.648941 | + | 2.16762i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.52161 | + | 43.2944i | −0.0851488 | + | 1.46195i | 0.637349 | + | 0.770575i | \(0.280031\pi\) |
−0.722498 | + | 0.691373i | \(0.757006\pi\) | |||||||
\(878\) | 33.0239 | + | 21.7201i | 1.11450 | + | 0.733019i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.08409 | + | 1.91596i | −0.272515 | + | 0.0645872i | ||||
\(881\) | −1.78531 | + | 10.1250i | −0.0601486 | + | 0.341120i | −1.00000 | 0.000464198i | \(-0.999852\pi\) | |
0.939851 | + | 0.341584i | \(0.110963\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.36337 | + | 7.73205i | 0.0458810 | + | 0.260204i | 0.999117 | − | 0.0420240i | \(-0.0133806\pi\) |
−0.953236 | + | 0.302228i | \(0.902269\pi\) | |||||||
\(884\) | −1.81903 | − | 4.21698i | −0.0611805 | − | 0.141832i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.4507 | − | 38.2481i | −0.384695 | − | 1.28497i | ||||
\(887\) | 20.8967 | + | 28.0692i | 0.701643 | + | 0.942471i | 0.999928 | − | 0.0120063i | \(-0.00382182\pi\) |
−0.298284 | + | 0.954477i | \(0.596414\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 39.3805 | + | 19.7776i | 1.32078 | + | 0.663321i | ||||
\(890\) | −44.3751 | −1.48746 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 26.8550 | 0.899172 | ||||||||
\(893\) | −43.1800 | − | 21.6858i | −1.44496 | − | 0.725688i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −16.7105 | − | 22.4461i | −0.558571 | − | 0.750292i | ||||
\(896\) | −7.49465 | − | 25.0339i | −0.250379 | − | 0.836323i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 5.83774 | + | 13.5334i | 0.194808 | + | 0.451616i | ||||
\(899\) | 0.317622 | + | 1.80133i | 0.0105933 | + | 0.0600776i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.49032 | + | 8.45204i | −0.0496498 | + | 0.281578i | ||||
\(902\) | 7.62207 | − | 1.80646i | 0.253787 | − | 0.0601487i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8.68189 | − | 5.71017i | −0.288755 | − | 0.189917i | ||||
\(905\) | −1.75148 | + | 30.0717i | −0.0582210 | + | 0.999616i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.4087 | − | 48.1283i | 0.478432 | − | 1.59807i | −0.289257 | − | 0.957251i | \(-0.593408\pi\) |
0.767689 | − | 0.640822i | \(-0.221407\pi\) | |||||||
\(908\) | −25.2752 | + | 9.19941i | −0.838786 | + | 0.305293i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −64.1788 | − | 23.3592i | −2.12751 | − | 0.774349i | ||||
\(911\) | 14.7268 | − | 19.7816i | 0.487922 | − | 0.655393i | −0.488170 | − | 0.872748i | \(-0.662336\pi\) |
0.976093 | + | 0.217355i | \(0.0697429\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.87537 | − | 0.444471i | −0.0620657 | − | 0.0147098i | ||||
\(914\) | 31.5072 | − | 73.0418i | 1.04216 | − | 2.41601i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.73694 | + | 3.11554i | −0.156513 | + | 0.102940i | ||||
\(917\) | −16.7783 | − | 29.0608i | −0.554067 | − | 0.959672i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.12738 | + | 7.14883i | −0.136150 | + | 0.235818i | −0.926036 | − | 0.377435i | \(-0.876806\pi\) |
0.789886 | + | 0.613253i | \(0.210139\pi\) | |||||||
\(920\) | 0.521745 | + | 8.95801i | 0.0172014 | + | 0.295337i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −58.0779 | + | 6.78833i | −1.91269 | + | 0.223562i | ||||
\(923\) | 11.5230 | − | 12.2137i | 0.379285 | − | 0.402018i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 47.9764 | + | 5.60763i | 1.57745 | + | 0.184378i | ||||
\(926\) | 39.8178 | − | 33.4111i | 1.30849 | − | 1.09796i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.83740 | + | 2.38086i | 0.0931422 | + | 0.0781556i | ||||
\(929\) | −6.73053 | − | 7.13394i | −0.220821 | − | 0.234057i | 0.607487 | − | 0.794330i | \(-0.292178\pi\) |
−0.828308 | + | 0.560273i | \(0.810696\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −16.5380 | + | 8.30568i | −0.542010 | + | 0.272208i | ||||
\(932\) | −39.4161 | + | 19.7955i | −1.29112 | + | 0.648424i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 11.4133 | + | 12.0974i | 0.373455 | + | 0.395839i | ||||
\(935\) | −1.68332 | − | 1.41247i | −0.0550503 | − | 0.0461927i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 33.8490 | − | 28.4027i | 1.10580 | − | 0.927875i | 0.107997 | − | 0.994151i | \(-0.465556\pi\) |
0.997801 | + | 0.0662763i | \(0.0211119\pi\) | |||||||
\(938\) | −13.4396 | − | 1.57086i | −0.438819 | − | 0.0512905i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 71.2275 | − | 75.4967i | 2.32318 | − | 2.46243i | ||||
\(941\) | −10.5684 | + | 1.23526i | −0.344519 | + | 0.0402684i | −0.286593 | − | 0.958052i | \(-0.592523\pi\) |
−0.0579256 | + | 0.998321i | \(0.518449\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.650512 | + | 11.1689i | 0.0211836 | + | 0.363708i | ||||
\(944\) | 5.85073 | − | 10.1338i | 0.190425 | − | 0.329826i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.75603 | + | 8.23768i | 0.154632 | + | 0.267830i | ||||
\(947\) | −9.18551 | + | 6.04140i | −0.298489 | + | 0.196319i | −0.689915 | − | 0.723890i | \(-0.742352\pi\) |
0.391426 | + | 0.920209i | \(0.371982\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.81015 | − | 18.1060i | 0.253528 | − | 0.587745i | ||||
\(950\) | −93.8280 | − | 22.2376i | −3.04418 | − | 0.721485i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.49747 | − | 2.01145i | 0.0485332 | − | 0.0651914i | ||||
\(953\) | −39.7723 | − | 14.4759i | −1.28835 | − | 0.468921i | −0.395165 | − | 0.918610i | \(-0.629313\pi\) |
−0.893185 | + | 0.449689i | \(0.851535\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 36.8676 | − | 13.4187i | 1.19301 | − | 0.434219i | ||||
\(956\) | −8.71206 | + | 29.1003i | −0.281768 | + | 0.941171i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.17888 | + | 37.4100i | −0.0703965 | + | 1.20866i | ||||
\(959\) | 26.3845 | + | 17.3533i | 0.851999 | + | 0.560369i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0430 | + | 3.56526i | −0.485259 | + | 0.115008i | ||||
\(962\) | −4.34483 | + | 24.6407i | −0.140083 | + | 0.794449i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 7.52523 | + | 42.6777i | 0.242371 | + | 1.37456i | ||||
\(965\) | 24.6587 | + | 57.1654i | 0.793793 | + | 1.84022i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.38375 | + | 7.96226i | 0.0766561 | + | 0.256049i | 0.987724 | − | 0.156206i | \(-0.0499264\pi\) |
−0.911068 | + | 0.412255i | \(0.864741\pi\) | |||||||
\(968\) | −6.27654 | − | 8.43085i | −0.201736 | − | 0.270978i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −69.8384 | − | 35.0742i | −2.24238 | − | 1.12616i | ||||
\(971\) | 17.9539 | 0.576169 | 0.288084 | − | 0.957605i | \(-0.406982\pi\) | ||||
0.288084 | + | 0.957605i | \(0.406982\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 35.0207 | 1.12271 | ||||||||
\(974\) | −79.6265 | − | 39.9899i | −2.55140 | − | 1.28136i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.450019 | − | 0.604480i | −0.0144048 | − | 0.0193489i | ||||
\(977\) | −7.00093 | − | 23.3847i | −0.223979 | − | 0.748144i | −0.993927 | − | 0.110037i | \(-0.964903\pi\) |
0.769948 | − | 0.638107i | \(-0.220282\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.61482 | − | 3.74356i | −0.0516097 | − | 0.119645i | ||||
\(980\) | −6.90304 | − | 39.1491i | −0.220509 | − | 1.25057i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 2.67375 | − | 15.1636i | 0.0853228 | − | 0.483890i | ||||
\(983\) | −45.3567 | + | 10.7497i | −1.44665 | + | 0.342863i | −0.877583 | − | 0.479425i | \(-0.840845\pi\) |
−0.569071 | + | 0.822288i | \(0.692697\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −35.6799 | − | 23.4670i | −1.13686 | − | 0.747722i | ||||
\(986\) | −0.0425773 | + | 0.731025i | −0.00135594 | + | 0.0232806i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.92511 | − | 26.4717i | 0.252131 | − | 0.842177i | ||||
\(989\) | −12.7663 | + | 4.64654i | −0.405944 | + | 0.147751i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −55.3339 | − | 20.1399i | −1.75774 | − | 0.639765i | −0.757820 | − | 0.652464i | \(-0.773735\pi\) |
−0.999919 | + | 0.0126995i | \(0.995958\pi\) | |||||||
\(992\) | 18.7920 | − | 25.2421i | 0.596648 | − | 0.801437i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 46.3732 | + | 10.9906i | 1.47087 | + | 0.348602i | ||||
\(995\) | −5.41324 | + | 12.5493i | −0.171611 | + | 0.397839i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −50.3721 | + | 33.1302i | −1.59530 | + | 1.04925i | −0.634154 | + | 0.773207i | \(0.718651\pi\) |
−0.961147 | + | 0.276038i | \(0.910978\pi\) | |||||||
\(998\) | −17.0636 | − | 29.5550i | −0.540138 | − | 0.935547i | ||||
\(999\) | 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 | 243.2.g.a.10.7 | 144 | ||
3.2 | odd | 2 | 81.2.g.a.13.2 | ✓ | 144 | ||
9.2 | odd | 6 | 729.2.g.d.514.7 | 144 | |||
9.4 | even | 3 | 729.2.g.b.28.2 | 144 | |||
9.5 | odd | 6 | 729.2.g.c.28.7 | 144 | |||
9.7 | even | 3 | 729.2.g.a.514.2 | 144 | |||
81.2 | odd | 54 | 729.2.g.c.703.7 | 144 | |||
81.5 | odd | 54 | 6561.2.a.c.1.12 | 72 | |||
81.25 | even | 27 | inner | 243.2.g.a.73.7 | 144 | ||
81.29 | odd | 54 | 729.2.g.d.217.7 | 144 | |||
81.52 | even | 27 | 729.2.g.a.217.2 | 144 | |||
81.56 | odd | 54 | 81.2.g.a.25.2 | yes | 144 | ||
81.76 | even | 27 | 6561.2.a.d.1.61 | 72 | |||
81.79 | even | 27 | 729.2.g.b.703.2 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.13.2 | ✓ | 144 | 3.2 | odd | 2 | ||
81.2.g.a.25.2 | yes | 144 | 81.56 | odd | 54 | ||
243.2.g.a.10.7 | 144 | 1.1 | even | 1 | trivial | ||
243.2.g.a.73.7 | 144 | 81.25 | even | 27 | inner | ||
729.2.g.a.217.2 | 144 | 81.52 | even | 27 | |||
729.2.g.a.514.2 | 144 | 9.7 | even | 3 | |||
729.2.g.b.28.2 | 144 | 9.4 | even | 3 | |||
729.2.g.b.703.2 | 144 | 81.79 | even | 27 | |||
729.2.g.c.28.7 | 144 | 9.5 | odd | 6 | |||
729.2.g.c.703.7 | 144 | 81.2 | odd | 54 | |||
729.2.g.d.217.7 | 144 | 81.29 | odd | 54 | |||
729.2.g.d.514.7 | 144 | 9.2 | odd | 6 | |||
6561.2.a.c.1.12 | 72 | 81.5 | odd | 54 | |||
6561.2.a.d.1.61 | 72 | 81.76 | even | 27 |