Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5292,2,Mod(361,5292)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5292, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("5292.361");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5292 = 2^{2} \cdot 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5292.l (of order \(3\), degree \(2\), 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: | \(42.2568327497\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 252) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 3313.3 | ||
Root | \(0.500000 + 0.224437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5292.3313 |
Dual form | 5292.2.l.e.361.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/5292\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) | \(2647\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.69963 | 0.760097 | 0.380048 | − | 0.924967i | \(-0.375907\pi\) | ||||
0.380048 | + | 0.924967i | \(0.375907\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.47710 | −0.746874 | −0.373437 | − | 0.927656i | \(-0.621821\pi\) | ||||
−0.373437 | + | 0.927656i | \(0.621821\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.388736 | − | 0.673310i | −0.107816 | − | 0.186743i | 0.807069 | − | 0.590457i | \(-0.201052\pi\) |
−0.914885 | + | 0.403714i | \(0.867719\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.40545 | + | 2.43430i | 0.340871 | + | 0.590405i | 0.984595 | − | 0.174852i | \(-0.0559448\pi\) |
−0.643724 | + | 0.765258i | \(0.722611\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.49381 | − | 4.31941i | 0.572119 | − | 0.990940i | −0.424229 | − | 0.905555i | \(-0.639455\pi\) |
0.996348 | − | 0.0853846i | \(-0.0272119\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.712008 | −0.148464 | −0.0742320 | − | 0.997241i | \(-0.523651\pi\) | ||||
−0.0742320 | + | 0.997241i | \(0.523651\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.11126 | −0.422253 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.25526 | − | 3.90623i | 0.418791 | − | 0.725368i | −0.577027 | − | 0.816725i | \(-0.695787\pi\) |
0.995818 | + | 0.0913573i | \(0.0291205\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.54944 | + | 4.41576i | −0.457893 | + | 0.793095i | −0.998849 | − | 0.0479563i | \(-0.984729\pi\) |
0.540956 | + | 0.841051i | \(0.318063\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.43818 | − | 5.95510i | 0.565233 | − | 0.979012i | −0.431795 | − | 0.901972i | \(-0.642120\pi\) |
0.997028 | − | 0.0770405i | \(-0.0245471\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.93818 | − | 5.08907i | −0.458866 | − | 0.794780i | 0.540035 | − | 0.841643i | \(-0.318411\pi\) |
−0.998901 | + | 0.0468628i | \(0.985078\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.32691 | − | 4.03033i | 0.354851 | − | 0.614620i | −0.632241 | − | 0.774771i | \(-0.717865\pi\) |
0.987092 | + | 0.160151i | \(0.0511982\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.49381 | + | 11.2476i | 0.947220 | + | 1.64063i | 0.751245 | + | 0.660023i | \(0.229454\pi\) |
0.195975 | + | 0.980609i | \(0.437213\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.944368 | + | 1.63569i | 0.129719 | + | 0.224680i | 0.923568 | − | 0.383436i | \(-0.125259\pi\) |
−0.793849 | + | 0.608115i | \(0.791926\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.21015 | −0.567696 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.14400 | − | 12.3738i | 0.930069 | − | 1.61093i | 0.146870 | − | 0.989156i | \(-0.453080\pi\) |
0.783199 | − | 0.621771i | \(-0.213587\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.15452 | − | 12.3920i | −0.916042 | − | 1.58663i | −0.805369 | − | 0.592774i | \(-0.798033\pi\) |
−0.110673 | − | 0.993857i | \(-0.535301\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.660706 | − | 1.14438i | −0.0819505 | − | 0.141942i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.99381 | + | 6.91748i | −0.487922 | + | 0.845105i | −0.999904 | − | 0.0138913i | \(-0.995578\pi\) |
0.511982 | + | 0.858996i | \(0.328911\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.2632 | 1.21802 | 0.609011 | − | 0.793162i | \(-0.291567\pi\) | ||||
0.609011 | + | 0.793162i | \(0.291567\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.49381 | − | 4.31941i | −0.291878 | − | 0.505548i | 0.682376 | − | 0.731002i | \(-0.260947\pi\) |
−0.974254 | + | 0.225454i | \(0.927614\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.60507 | + | 7.97622i | 0.518111 | + | 0.897395i | 0.999779 | + | 0.0210410i | \(0.00669805\pi\) |
−0.481667 | + | 0.876354i | \(0.659969\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.40545 | − | 7.63046i | 0.483561 | − | 0.837551i | −0.516261 | − | 0.856431i | \(-0.672677\pi\) |
0.999822 | + | 0.0188798i | \(0.00600997\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.38874 | + | 4.13741i | 0.259095 | + | 0.448765i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.82691 | − | 8.36046i | 0.511652 | − | 0.886207i | −0.488257 | − | 0.872700i | \(-0.662367\pi\) |
0.999909 | − | 0.0135071i | \(-0.00429956\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.23855 | − | 7.34138i | 0.434866 | − | 0.753210i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.32072 | + | 7.48371i | −0.438703 | + | 0.759856i | −0.997590 | − | 0.0693880i | \(-0.977895\pi\) |
0.558887 | + | 0.829244i | \(0.311229\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.41164 | −0.239967 | −0.119983 | − | 0.992776i | \(-0.538284\pi\) | ||||
−0.119983 | + | 0.992776i | \(0.538284\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.33379 | −0.427021 | −0.213511 | − | 0.976941i | \(-0.568490\pi\) | ||||
−0.213511 | + | 0.976941i | \(0.568490\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 9.59888 | − | 16.6258i | 0.927959 | − | 1.60727i | 0.141228 | − | 0.989977i | \(-0.454895\pi\) |
0.786732 | − | 0.617295i | \(-0.211772\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.48143 | − | 16.4223i | −0.908156 | − | 1.57297i | −0.816623 | − | 0.577171i | \(-0.804157\pi\) |
−0.0915329 | − | 0.995802i | \(-0.529177\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.46472 | + | 11.1972i | 0.608150 | + | 1.05335i | 0.991545 | + | 0.129762i | \(0.0414213\pi\) |
−0.383395 | + | 0.923584i | \(0.625245\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.21015 | −0.112847 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.86398 | −0.442180 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −12.0865 | −1.08105 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 17.6291 | 1.56433 | 0.782163 | − | 0.623073i | \(-0.214116\pi\) | ||||
0.782163 | + | 0.623073i | \(0.214116\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.68725 | 0.496897 | 0.248449 | − | 0.968645i | \(-0.420079\pi\) | ||||
0.248449 | + | 0.968645i | \(0.420079\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 19.4523 | 1.66193 | 0.830963 | − | 0.556328i | \(-0.187790\pi\) | ||||
0.830963 | + | 0.556328i | \(0.187790\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.49381 | + | 2.58736i | 0.126703 | + | 0.219457i | 0.922397 | − | 0.386242i | \(-0.126227\pi\) |
−0.795694 | + | 0.605699i | \(0.792894\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.962937 | + | 1.66786i | 0.0805249 | + | 0.139473i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.83310 | − | 6.63913i | 0.318322 | − | 0.551350i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −8.09888 | −0.663486 | −0.331743 | − | 0.943370i | \(-0.607637\pi\) | ||||
−0.331743 | + | 0.943370i | \(0.607637\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.86398 | −0.721340 | −0.360670 | − | 0.932693i | \(-0.617452\pi\) | ||||
−0.360670 | + | 0.932693i | \(0.617452\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.33310 | + | 7.50516i | −0.348043 | + | 0.602829i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.38255 | − | 7.59079i | 0.349765 | − | 0.605811i | −0.636442 | − | 0.771324i | \(-0.719595\pi\) |
0.986208 | + | 0.165513i | \(0.0529280\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.993810 | − | 1.72133i | 0.0778412 | − | 0.134825i | −0.824477 | − | 0.565895i | \(-0.808531\pi\) |
0.902318 | + | 0.431070i | \(0.141864\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.31089 | + | 2.27053i | 0.101440 | + | 0.175699i | 0.912278 | − | 0.409571i | \(-0.134322\pi\) |
−0.810838 | + | 0.585270i | \(0.800988\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.19777 | − | 10.7349i | 0.476751 | − | 0.825758i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.61491 | − | 4.52915i | −0.198808 | − | 0.344345i | 0.749334 | − | 0.662192i | \(-0.230374\pi\) |
−0.948142 | + | 0.317847i | \(0.897040\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.38255 | − | 4.12669i | −0.178080 | − | 0.308443i | 0.763143 | − | 0.646230i | \(-0.223655\pi\) |
−0.941223 | + | 0.337786i | \(0.890322\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.4313 | −0.775352 | −0.387676 | − | 0.921796i | \(-0.626722\pi\) | ||||
−0.387676 | + | 0.921796i | \(0.626722\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 5.84362 | − | 10.1215i | 0.429632 | − | 0.744144i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.48143 | − | 6.03001i | −0.254587 | − | 0.440958i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.66071 | + | 11.5367i | 0.481952 | + | 0.834765i | 0.999785 | − | 0.0207164i | \(-0.00659470\pi\) |
−0.517834 | + | 0.855481i | \(0.673261\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 7.32072 | − | 12.6799i | 0.526957 | − | 0.912717i | −0.472549 | − | 0.881304i | \(-0.656666\pi\) |
0.999507 | − | 0.0314125i | \(-0.0100005\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.4858 | 1.31706 | 0.658528 | − | 0.752556i | \(-0.271179\pi\) | ||||
0.658528 | + | 0.752556i | \(0.271179\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.8083 | − | 20.4527i | −0.837071 | − | 1.44985i | −0.892333 | − | 0.451378i | \(-0.850933\pi\) |
0.0552614 | − | 0.998472i | \(-0.482401\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.99381 | − | 8.64953i | −0.348783 | − | 0.604110i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −6.17742 | + | 10.6996i | −0.427301 | + | 0.740107i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.27747 | + | 12.6050i | 0.501002 | + | 0.867761i | 0.999999 | + | 0.00115718i | \(0.000368342\pi\) |
−0.498998 | + | 0.866603i | \(0.666298\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.95489 | − | 6.85007i | 0.269721 | − | 0.467171i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.09269 | − | 1.89260i | 0.0735026 | − | 0.127310i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.72253 | + | 8.17966i | −0.316244 | + | 0.547750i | −0.979701 | − | 0.200464i | \(-0.935755\pi\) |
0.663457 | + | 0.748214i | \(0.269088\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −19.1113 | −1.26846 | −0.634230 | − | 0.773145i | \(-0.718683\pi\) | ||||
−0.634230 | + | 0.773145i | \(0.718683\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.4451 | 0.756311 | 0.378155 | − | 0.925742i | \(-0.376559\pi\) | ||||
0.378155 | + | 0.925742i | \(0.376559\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.595243 | + | 1.03099i | −0.0389956 | + | 0.0675424i | −0.884865 | − | 0.465848i | \(-0.845749\pi\) |
0.845869 | + | 0.533391i | \(0.179083\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.0371 | + | 19.1168i | 0.719979 | + | 1.24704i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.1414 | + | 21.0296i | 0.785365 | + | 1.36029i | 0.928781 | + | 0.370630i | \(0.120858\pi\) |
−0.143416 | + | 0.989663i | \(0.545809\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −21.4189 | −1.37971 | −0.689857 | − | 0.723946i | \(-0.742327\pi\) | ||||
−0.689857 | + | 0.723946i | \(0.742327\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.87773 | −0.246734 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.67996 | 0.169158 | 0.0845789 | − | 0.996417i | \(-0.473045\pi\) | ||||
0.0845789 | + | 0.996417i | \(0.473045\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.76371 | 0.110884 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 11.0851 | 0.691471 | 0.345736 | − | 0.938332i | \(-0.387629\pi\) | ||||
0.345736 | + | 0.938332i | \(0.387629\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.4079 | −0.826768 | −0.413384 | − | 0.910557i | \(-0.635653\pi\) | ||||
−0.413384 | + | 0.910557i | \(0.635653\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.60507 | + | 2.78007i | 0.0985989 | + | 0.170778i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.04511 | + | 3.54224i | 0.124693 | + | 0.215974i | 0.921613 | − | 0.388111i | \(-0.126872\pi\) |
−0.796920 | + | 0.604085i | \(0.793539\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.06182 | + | 5.30323i | −0.185992 | + | 0.322148i | −0.943910 | − | 0.330201i | \(-0.892883\pi\) |
0.757918 | + | 0.652350i | \(0.226217\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.22981 | 0.315370 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 15.7651 | 0.947233 | 0.473616 | − | 0.880731i | \(-0.342948\pi\) | ||||
0.473616 | + | 0.880731i | \(0.342948\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −10.5946 | + | 18.3503i | −0.632018 | + | 1.09469i | 0.355120 | + | 0.934821i | \(0.384440\pi\) |
−0.987139 | + | 0.159867i | \(0.948893\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.43818 | + | 5.95510i | −0.204378 | + | 0.353994i | −0.949935 | − | 0.312449i | \(-0.898851\pi\) |
0.745556 | + | 0.666443i | \(0.232184\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.54944 | − | 7.87987i | 0.267614 | − | 0.463521i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −13.7534 | − | 23.8216i | −0.803482 | − | 1.39167i | −0.917311 | − | 0.398172i | \(-0.869645\pi\) |
0.113829 | − | 0.993500i | \(-0.463689\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.1421 | − | 21.0308i | 0.706943 | − | 1.22446i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.276783 | + | 0.479402i | 0.0160068 | + | 0.0277245i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −12.1600 | − | 21.0618i | −0.696281 | − | 1.20599i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −21.5178 | −1.22809 | −0.614043 | − | 0.789273i | \(-0.710458\pi\) | ||||
−0.614043 | + | 0.789273i | \(0.710458\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.19275 | − | 15.9223i | 0.521273 | − | 0.902871i | −0.478421 | − | 0.878131i | \(-0.658791\pi\) |
0.999694 | − | 0.0247407i | \(-0.00787601\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.000688709 | 0.00119288i | 3.89281e−5 | 6.74255e-5i | 0.866045 | − | 0.499966i | \(-0.166654\pi\) | ||
−0.866006 | + | 0.500034i | \(0.833321\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 7.04944 | + | 12.2100i | 0.395936 | + | 0.685781i | 0.993220 | − | 0.116248i | \(-0.0370868\pi\) |
−0.597284 | + | 0.802030i | \(0.703753\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.58650 | + | 9.67611i | −0.312784 | + | 0.541758i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 14.0197 | 0.780075 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.820724 | + | 1.42154i | 0.0455256 | + | 0.0788526i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.98143 | − | 12.0922i | −0.383734 | − | 0.664647i | 0.607859 | − | 0.794045i | \(-0.292029\pi\) |
−0.991593 | + | 0.129398i | \(0.958695\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −6.78799 | + | 11.7571i | −0.370868 | + | 0.642362i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.0982 | − | 20.9547i | −0.659031 | − | 1.14147i | −0.980867 | − | 0.194679i | \(-0.937633\pi\) |
0.321836 | − | 0.946795i | \(-0.395700\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.31522 | − | 10.9383i | 0.341988 | − | 0.592341i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −16.3578 | + | 28.3325i | −0.878132 | + | 1.52097i | −0.0247435 | + | 0.999694i | \(0.507877\pi\) |
−0.853389 | + | 0.521275i | \(0.825456\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.8887 | − | 20.5919i | 0.636389 | − | 1.10226i | −0.349830 | − | 0.936813i | \(-0.613760\pi\) |
0.986219 | − | 0.165445i | \(-0.0529062\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −20.0617 | −1.06778 | −0.533889 | − | 0.845554i | \(-0.679270\pi\) | ||||
−0.533889 | + | 0.845554i | \(0.679270\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 17.4437 | 0.925814 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 4.15087 | − | 7.18953i | 0.219075 | − | 0.379449i | −0.735451 | − | 0.677578i | \(-0.763029\pi\) |
0.954525 | + | 0.298130i | \(0.0963628\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.93818 | − | 5.08907i | −0.154641 | − | 0.267846i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.23855 | − | 7.34138i | −0.221856 | − | 0.384266i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.5439 | 0.602589 | 0.301294 | − | 0.953531i | \(-0.402581\pi\) | ||||
0.301294 | + | 0.953531i | \(0.402581\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.85160 | 0.147650 | 0.0738250 | − | 0.997271i | \(-0.476479\pi\) | ||||
0.0738250 | + | 0.997271i | \(0.476479\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.50680 | −0.180609 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 35.9519 | 1.84672 | 0.923361 | − | 0.383932i | \(-0.125430\pi\) | ||||
0.923361 | + | 0.383932i | \(0.125430\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.83056 | 0.0935370 | 0.0467685 | − | 0.998906i | \(-0.485108\pi\) | ||||
0.0467685 | + | 0.998906i | \(0.485108\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.3906 | 0.577526 | 0.288763 | − | 0.957401i | \(-0.406756\pi\) | ||||
0.288763 | + | 0.957401i | \(0.406756\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.00069 | − | 1.73324i | −0.0506070 | − | 0.0876539i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 7.82691 | + | 13.5566i | 0.393815 | + | 0.682107i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.21565 | − | 9.03377i | 0.261766 | − | 0.453392i | −0.704945 | − | 0.709262i | \(-0.749028\pi\) |
0.966711 | + | 0.255870i | \(0.0823618\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 34.0741 | 1.70158 | 0.850790 | − | 0.525505i | \(-0.176124\pi\) | ||||
0.850790 | + | 0.525505i | \(0.176124\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.96424 | 0.197473 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −8.51671 | + | 14.7514i | −0.422158 | + | 0.731199i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.98762 | + | 3.44266i | −0.0982815 | + | 0.170229i | −0.910973 | − | 0.412465i | \(-0.864668\pi\) |
0.812692 | + | 0.582694i | \(0.198001\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.48762 | − | 12.9689i | 0.367553 | − | 0.636620i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −4.72184 | − | 8.17847i | −0.230677 | − | 0.399544i | 0.727331 | − | 0.686287i | \(-0.240761\pi\) |
−0.958008 | + | 0.286743i | \(0.907427\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.16002 | − | 5.47331i | 0.154010 | − | 0.266753i | −0.778688 | − | 0.627411i | \(-0.784115\pi\) |
0.932698 | + | 0.360658i | \(0.117448\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.96727 | − | 5.13946i | −0.143934 | − | 0.249300i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −13.8770 | − | 24.0357i | −0.668434 | − | 1.15776i | −0.978342 | − | 0.206995i | \(-0.933632\pi\) |
0.309908 | − | 0.950766i | \(-0.399702\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.2473 | 0.540510 | 0.270255 | − | 0.962789i | \(-0.412892\pi\) | ||||
0.270255 | + | 0.962789i | \(0.412892\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.77561 | + | 3.07545i | −0.0849391 | + | 0.147119i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.54325 | + | 13.0653i | 0.360020 | + | 0.623573i | 0.987964 | − | 0.154686i | \(-0.0494366\pi\) |
−0.627944 | + | 0.778259i | \(0.716103\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 3.96658 | + | 6.87032i | 0.188458 | + | 0.326419i | 0.944736 | − | 0.327831i | \(-0.106318\pi\) |
−0.756278 | + | 0.654250i | \(0.772984\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.20396 | − | 14.2097i | 0.388905 | − | 0.673603i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 32.5636 | 1.53677 | 0.768386 | − | 0.639987i | \(-0.221060\pi\) | ||||
0.768386 | + | 0.639987i | \(0.221060\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.27816 | + | 12.6061i | 0.342715 | + | 0.593600i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.70396 | − | 9.87955i | −0.266820 | − | 0.462146i | 0.701219 | − | 0.712946i | \(-0.252640\pi\) |
−0.968039 | + | 0.250800i | \(0.919306\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.45853 | − | 4.25830i | 0.114505 | − | 0.198329i | −0.803077 | − | 0.595876i | \(-0.796805\pi\) |
0.917582 | + | 0.397547i | \(0.130138\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.59957 | − | 13.1628i | −0.353182 | − | 0.611729i | 0.633623 | − | 0.773642i | \(-0.281567\pi\) |
−0.986805 | + | 0.161913i | \(0.948234\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 11.8905 | − | 20.5950i | 0.550228 | − | 0.953022i | −0.448030 | − | 0.894018i | \(-0.647874\pi\) |
0.998258 | − | 0.0590037i | \(-0.0187924\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −5.76400 | + | 9.98354i | −0.265029 | + | 0.459044i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.26509 | + | 9.11941i | −0.241579 | + | 0.418427i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −6.05818 | −0.276805 | −0.138403 | − | 0.990376i | \(-0.544197\pi\) | ||||
−0.138403 | + | 0.990376i | \(0.544197\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.34617 | −0.243764 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.34362 | + | 12.7195i | −0.333457 | + | 0.577564i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.568012 | − | 0.983825i | −0.0257391 | − | 0.0445814i | 0.852869 | − | 0.522125i | \(-0.174861\pi\) |
−0.878608 | + | 0.477544i | \(0.841527\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −16.4382 | − | 28.4718i | −0.741845 | − | 1.28491i | −0.951655 | − | 0.307170i | \(-0.900618\pi\) |
0.209810 | − | 0.977742i | \(-0.432715\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.6786 | 0.571015 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 26.1978 | 1.17277 | 0.586387 | − | 0.810031i | \(-0.300550\pi\) | ||||
0.586387 | + | 0.810031i | \(0.300550\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 25.8516 | 1.15267 | 0.576333 | − | 0.817215i | \(-0.304483\pi\) | ||||
0.576333 | + | 0.817215i | \(0.304483\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −4.09888 | −0.182398 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −35.1716 | −1.55896 | −0.779478 | − | 0.626430i | \(-0.784515\pi\) | ||||
−0.779478 | + | 0.626430i | \(0.784515\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.36584 | −0.324578 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.0858 | − | 27.8615i | −0.707453 | − | 1.22535i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −8.93130 | − | 15.4695i | −0.391287 | − | 0.677730i | 0.601332 | − | 0.798999i | \(-0.294637\pi\) |
−0.992620 | + | 0.121270i | \(0.961303\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.4320 | − | 19.8008i | 0.499886 | − | 0.865828i | −0.500114 | − | 0.865960i | \(-0.666709\pi\) |
1.00000 | 0.000131698i | \(4.19208e-5\pi\) | ||||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −14.3324 | −0.624330 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.4930 | −0.977958 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.28435 | + | 3.95661i | −0.0989462 | + | 0.171380i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 16.3145 | − | 28.2576i | 0.705339 | − | 1.22168i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.1538 | + | 19.3190i | −0.479541 | + | 0.830589i | −0.999725 | − | 0.0234656i | \(-0.992530\pi\) |
0.520184 | + | 0.854054i | \(0.325863\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −16.1149 | − | 27.9118i | −0.690287 | − | 1.19561i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.8083 | + | 18.7206i | −0.462131 | + | 0.800435i | −0.999067 | − | 0.0431882i | \(-0.986249\pi\) |
0.536936 | + | 0.843623i | \(0.319582\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.2484 | − | 19.4828i | −0.479197 | − | 0.829994i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.58768 | + | 2.74993i | 0.0672720 | + | 0.116518i | 0.897700 | − | 0.440608i | \(-0.145237\pi\) |
−0.830428 | + | 0.557127i | \(0.811904\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.61822 | −0.153034 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 21.8814 | − | 37.8997i | 0.922190 | − | 1.59728i | 0.126171 | − | 0.992009i | \(-0.459731\pi\) |
0.796019 | − | 0.605271i | \(-0.206935\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 10.9876 | + | 19.0311i | 0.462253 | + | 0.800645i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −11.9313 | − | 20.6656i | −0.500186 | − | 0.866348i | −1.00000 | 0.000214897i | \(-0.999932\pi\) | |
0.499814 | − | 0.866133i | \(-0.333402\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.11058 | + | 8.85178i | −0.213871 | + | 0.370435i | −0.952923 | − | 0.303213i | \(-0.901941\pi\) |
0.739052 | + | 0.673649i | \(0.235274\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.50324 | 0.0626893 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18.0185 | + | 31.2089i | 0.750120 | + | 1.29925i | 0.947764 | + | 0.318972i | \(0.103337\pi\) |
−0.197645 | + | 0.980274i | \(0.563329\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.33929 | − | 4.05178i | −0.0968836 | − | 0.167807i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −10.5142 | + | 18.2111i | −0.433966 | + | 0.751651i | −0.997211 | − | 0.0746391i | \(-0.976220\pi\) |
0.563245 | + | 0.826290i | \(0.309553\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.7156 | + | 22.0242i | 0.523939 | + | 0.907489i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −12.5803 | + | 21.7897i | −0.516612 | + | 0.894798i | 0.483202 | + | 0.875509i | \(0.339474\pi\) |
−0.999814 | + | 0.0192889i | \(0.993860\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.11126 | + | 1.92477i | −0.0454050 | + | 0.0786438i | −0.887835 | − | 0.460162i | \(-0.847791\pi\) |
0.842430 | + | 0.538806i | \(0.181125\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.0494 | + | 24.3343i | −0.573089 | + | 0.992619i | 0.423158 | + | 0.906056i | \(0.360922\pi\) |
−0.996246 | + | 0.0865627i | \(0.972412\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −8.26695 | −0.336099 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.53018 | −0.265052 | −0.132526 | − | 0.991180i | \(-0.542309\pi\) | ||||
−0.132526 | + | 0.991180i | \(0.542309\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.04875 | − | 8.74470i | 0.204251 | − | 0.353773i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.36398 | − | 9.29068i | −0.216649 | − | 0.375247i | 0.737132 | − | 0.675748i | \(-0.236179\pi\) |
−0.953781 | + | 0.300501i | \(0.902846\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −15.5265 | − | 26.8928i | −0.625075 | − | 1.08266i | −0.988526 | − | 0.151049i | \(-0.951735\pi\) |
0.363451 | − | 0.931613i | \(-0.381598\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.44643 | −0.0581371 | −0.0290685 | − | 0.999577i | \(-0.509254\pi\) | ||||
−0.0290685 | + | 0.999577i | \(0.509254\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.98624 | −0.399450 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 19.3287 | 0.770686 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.0741250 | 0.00295087 | 0.00147544 | − | 0.999999i | \(-0.499530\pi\) | ||||
0.00147544 | + | 0.999999i | \(0.499530\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 29.9629 | 1.18904 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 47.0407 | 1.85800 | 0.928998 | − | 0.370085i | \(-0.120671\pi\) | ||||
0.928998 | + | 0.370085i | \(0.120671\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 16.8647 | + | 29.2105i | 0.665077 | + | 1.15195i | 0.979264 | + | 0.202587i | \(0.0649348\pi\) |
−0.314187 | + | 0.949361i | \(0.601732\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 22.4814 | + | 38.9390i | 0.883836 | + | 1.53085i | 0.847042 | + | 0.531526i | \(0.178381\pi\) |
0.0367945 | + | 0.999323i | \(0.488285\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −17.6964 | + | 30.6510i | −0.694644 | + | 1.20316i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −41.7156 | −1.63246 | −0.816228 | − | 0.577730i | \(-0.803939\pi\) | ||||
−0.816228 | + | 0.577730i | \(0.803939\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.66621 | 0.377690 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −10.5259 | + | 18.2313i | −0.410029 | + | 0.710191i | −0.994892 | − | 0.100941i | \(-0.967815\pi\) |
0.584863 | + | 0.811132i | \(0.301148\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −11.2218 | + | 19.4368i | −0.436479 | + | 0.756004i | −0.997415 | − | 0.0718553i | \(-0.977108\pi\) |
0.560936 | + | 0.827859i | \(0.310441\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.60576 | + | 2.78126i | −0.0621754 | + | 0.107691i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 17.7225 | + | 30.6962i | 0.684168 | + | 1.18501i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.83929 | − | 10.1140i | 0.225088 | − | 0.389864i | −0.731258 | − | 0.682101i | \(-0.761066\pi\) |
0.956346 | + | 0.292237i | \(0.0943996\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 5.23422 | + | 9.06593i | 0.201167 | + | 0.348432i | 0.948905 | − | 0.315562i | \(-0.102193\pi\) |
−0.747737 | + | 0.663995i | \(0.768860\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 16.4079 | + | 28.4193i | 0.627832 | + | 1.08744i | 0.987986 | + | 0.154543i | \(0.0493906\pi\) |
−0.360154 | + | 0.932893i | \(0.617276\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 33.0617 | 1.26322 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.734219 | − | 1.27171i | 0.0279715 | − | 0.0484481i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.95056 | − | 5.11052i | −0.112245 | − | 0.194413i | 0.804430 | − | 0.594047i | \(-0.202471\pi\) |
−0.916675 | + | 0.399634i | \(0.869137\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.53892 | + | 4.39754i | 0.0963068 | + | 0.166808i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.25890 | − | 14.3048i | 0.312828 | − | 0.541834i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 12.3782 | 0.467519 | 0.233759 | − | 0.972294i | \(-0.424897\pi\) | ||||
0.233759 | + | 0.972294i | \(0.424897\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −17.1483 | − | 29.7018i | −0.646761 | − | 1.12022i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.64145 | + | 11.5033i | 0.249425 | + | 0.432016i | 0.963366 | − | 0.268189i | \(-0.0864251\pi\) |
−0.713942 | + | 0.700205i | \(0.753092\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.81522 | − | 3.14406i | 0.0679806 | − | 0.117746i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.63664 | + | 2.83474i | 0.0612067 | + | 0.106013i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −12.1847 | + | 21.1045i | −0.454413 | + | 0.787066i | −0.998654 | − | 0.0518628i | \(-0.983484\pi\) |
0.544242 | + | 0.838929i | \(0.316817\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.76145 | + | 8.24707i | −0.176836 | + | 0.306289i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.99450 | − | 13.8469i | 0.296500 | − | 0.513552i | −0.678833 | − | 0.734293i | \(-0.737514\pi\) |
0.975333 | + | 0.220740i | \(0.0708473\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 13.0814 | 0.483833 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −42.2829 | −1.56175 | −0.780877 | − | 0.624685i | \(-0.785228\pi\) | ||||
−0.780877 | + | 0.624685i | \(0.785228\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 9.89307 | − | 17.1353i | 0.364416 | − | 0.631187i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.54325 | + | 2.67299i | 0.0567695 | + | 0.0983276i | 0.893014 | − | 0.450030i | \(-0.148587\pi\) |
−0.836244 | + | 0.548357i | \(0.815253\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 3.31522 | + | 5.74213i | 0.121624 | + | 0.210658i | 0.920408 | − | 0.390959i | \(-0.127857\pi\) |
−0.798784 | + | 0.601617i | \(0.794523\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −13.7651 | −0.504314 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −42.7403 | −1.55962 | −0.779808 | − | 0.626018i | \(-0.784684\pi\) | ||||
−0.779808 | + | 0.626018i | \(0.784684\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −15.0655 | −0.548288 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −31.0232 | −1.12756 | −0.563779 | − | 0.825926i | \(-0.690653\pi\) | ||||
−0.563779 | + | 0.825926i | \(0.690653\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −23.6364 | −0.856817 | −0.428409 | − | 0.903585i | \(-0.640926\pi\) | ||||
−0.428409 | + | 0.903585i | \(0.640926\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −11.1085 | −0.401105 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.73422 | + | 3.00376i | 0.0625375 | + | 0.108318i | 0.895599 | − | 0.444862i | \(-0.146747\pi\) |
−0.833061 | + | 0.553180i | \(0.813414\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 17.2985 | + | 29.9619i | 0.622184 | + | 1.07765i | 0.989078 | + | 0.147392i | \(0.0470879\pi\) |
−0.366894 | + | 0.930263i | \(0.619579\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.38255 | − | 9.32284i | 0.193347 | − | 0.334886i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −29.3090 | −1.05011 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −25.4231 | −0.909708 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.44870 | − | 12.9015i | 0.265855 | − | 0.460475i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.07963 | − | 10.5302i | 0.216715 | − | 0.375362i | −0.737087 | − | 0.675798i | \(-0.763799\pi\) |
0.953802 | + | 0.300437i | \(0.0971323\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.56243 | + | 9.63442i | −0.197528 | + | 0.342128i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 2.89493 | + | 5.01416i | 0.102544 | + | 0.177611i | 0.912732 | − | 0.408559i | \(-0.133969\pi\) |
−0.810188 | + | 0.586170i | \(0.800635\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −18.2534 | + | 31.6158i | −0.645759 | + | 1.11849i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.17742 | + | 10.6996i | 0.217996 | + | 0.377581i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −24.5908 | − | 42.5926i | −0.864568 | − | 1.49748i | −0.867476 | − | 0.497479i | \(-0.834259\pi\) |
0.00290803 | − | 0.999996i | \(-0.499074\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 40.7266 | 1.43010 | 0.715052 | − | 0.699072i | \(-0.246403\pi\) | ||||
0.715052 | + | 0.699072i | \(0.246403\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.68911 | − | 2.92562i | 0.0591669 | − | 0.102480i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −11.6058 | − | 20.1018i | −0.406034 | − | 0.703272i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 7.54689 | + | 13.0716i | 0.263388 | + | 0.456202i | 0.967140 | − | 0.254244i | \(-0.0818266\pi\) |
−0.703752 | + | 0.710446i | \(0.748493\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.00000 | + | 13.8564i | −0.278862 | + | 0.483004i | −0.971102 | − | 0.238664i | \(-0.923291\pi\) |
0.692240 | + | 0.721668i | \(0.256624\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −35.2348 | −1.22523 | −0.612616 | − | 0.790381i | \(-0.709883\pi\) | ||||
−0.612616 | + | 0.790381i | \(0.709883\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.61745 | + | 2.80151i | 0.0561765 | + | 0.0973006i | 0.892746 | − | 0.450560i | \(-0.148776\pi\) |
−0.836570 | + | 0.547861i | \(0.815442\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.22803 | + | 3.85906i | 0.0771041 | + | 0.133548i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −15.5197 | + | 26.8808i | −0.535798 | + | 0.928030i | 0.463326 | + | 0.886188i | \(0.346656\pi\) |
−0.999124 | + | 0.0418419i | \(0.986677\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.32760 | + | 7.49563i | 0.149228 | + | 0.258470i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 10.5339 | − | 18.2453i | 0.362377 | − | 0.627656i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.44801 | + | 4.24008i | −0.0839167 | + | 0.145348i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8.03637 | − | 13.9194i | 0.275160 | − | 0.476591i | −0.695015 | − | 0.718995i | \(-0.744602\pi\) |
0.970176 | + | 0.242403i | \(0.0779358\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −19.2212 | −0.656582 | −0.328291 | − | 0.944577i | \(-0.606473\pi\) | ||||
−0.328291 | + | 0.944577i | \(0.606473\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.8022 | −0.505046 | −0.252523 | − | 0.967591i | \(-0.581260\pi\) | ||||
−0.252523 | + | 0.967591i | \(0.581260\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 7.38441 | − | 12.7902i | 0.251368 | − | 0.435382i | −0.712535 | − | 0.701637i | \(-0.752453\pi\) |
0.963903 | + | 0.266255i | \(0.0857862\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.44437 | − | 7.69787i | −0.151113 | − | 0.261735i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −11.4072 | − | 19.7579i | −0.386964 | − | 0.670241i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.21015 | 0.210423 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 52.3832 | 1.76885 | 0.884427 | − | 0.466679i | \(-0.154550\pi\) | ||||
0.884427 | + | 0.466679i | \(0.154550\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 31.3214 | 1.05525 | 0.527623 | − | 0.849479i | \(-0.323084\pi\) | ||||
0.527623 | + | 0.849479i | \(0.323084\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −43.0494 | −1.44873 | −0.724363 | − | 0.689419i | \(-0.757866\pi\) | ||||
−0.724363 | + | 0.689419i | \(0.757866\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 14.9766 | 0.502866 | 0.251433 | − | 0.967875i | \(-0.419098\pi\) | ||||
0.251433 | + | 0.967875i | \(0.419098\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 64.7773 | 2.16769 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.04944 | − | 7.01384i | −0.135358 | − | 0.234447i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 11.4993 | + | 19.9174i | 0.383524 | + | 0.664282i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.65452 | + | 4.59776i | −0.0884348 | + | 0.153174i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −17.7293 | −0.589343 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 30.4559 | 1.01127 | 0.505636 | − | 0.862747i | \(-0.331258\pi\) | ||||
0.505636 | + | 0.862747i | \(0.331258\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −9.97593 | + | 17.2788i | −0.330517 | + | 0.572473i | −0.982613 | − | 0.185664i | \(-0.940557\pi\) |
0.652096 | + | 0.758136i | \(0.273890\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −10.9127 | + | 18.9014i | −0.361159 | + | 0.625545i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.8145 | + | 39.5159i | −0.752582 | + | 1.30351i | 0.193985 | + | 0.981004i | \(0.437859\pi\) |
−0.946567 | + | 0.322506i | \(0.895475\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −3.98969 | − | 6.91034i | −0.131322 | − | 0.227457i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.25890 | + | 12.5728i | −0.238671 | + | 0.413391i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 28.1861 | + | 48.8197i | 0.924755 | + | 1.60172i | 0.791954 | + | 0.610580i | \(0.209064\pi\) |
0.132801 | + | 0.991143i | \(0.457603\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −5.91714 | − | 10.2488i | −0.193511 | − | 0.335171i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −36.8530 | −1.20393 | −0.601967 | − | 0.798521i | \(-0.705616\pi\) | ||||
−0.601967 | + | 0.798521i | \(0.705616\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −4.38000 | + | 7.58638i | −0.142784 | + | 0.247309i | −0.928544 | − | 0.371223i | \(-0.878939\pi\) |
0.785760 | + | 0.618531i | \(0.212272\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.09201 | + | 3.62346i | 0.0681251 | + | 0.117996i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 13.3226 | + | 23.0754i | 0.432926 | + | 0.749849i | 0.997124 | − | 0.0757901i | \(-0.0241479\pi\) |
−0.564198 | + | 0.825640i | \(0.690815\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.93887 | + | 3.35822i | −0.0629383 | + | 0.109012i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −24.3039 | −0.787282 | −0.393641 | − | 0.919264i | \(-0.628785\pi\) | ||||
−0.393641 | + | 0.919264i | \(0.628785\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.3207 | + | 19.6081i | 0.366330 | + | 0.634502i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.50069 | + | 4.33132i | 0.0806674 | + | 0.139720i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 12.4425 | − | 21.5511i | 0.400539 | − | 0.693753i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.22872 | + | 9.05641i | 0.168144 | + | 0.291234i | 0.937767 | − | 0.347264i | \(-0.112889\pi\) |
−0.769623 | + | 0.638498i | \(0.779556\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −20.8578 | + | 36.1267i | −0.669358 | + | 1.15936i | 0.308726 | + | 0.951151i | \(0.400098\pi\) |
−0.978084 | + | 0.208211i | \(0.933236\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 2.94506 | − | 5.10099i | 0.0942207 | − | 0.163195i | −0.815062 | − | 0.579373i | \(-0.803297\pi\) |
0.909283 | + | 0.416178i | \(0.136631\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −11.9567 | + | 20.7097i | −0.382139 | + | 0.661885i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −41.8392 | −1.33446 | −0.667232 | − | 0.744850i | \(-0.732521\pi\) | ||||
−0.667232 | + | 0.744850i | \(0.732521\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 31.4189 | 1.00109 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −1.65678 | + | 2.86963i | −0.0526826 | + | 0.0912489i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27.3578 | + | 47.3851i | 0.869049 | + | 1.50524i | 0.862970 | + | 0.505255i | \(0.168602\pi\) |
0.00607865 | + | 0.999982i | \(0.498065\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −20.0698 | − | 34.7619i | −0.636255 | − | 1.10203i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −18.0495 | −0.571634 | −0.285817 | − | 0.958284i | \(-0.592265\pi\) | ||||
−0.285817 | + | 0.958284i | \(0.592265\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))