Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5292,2,Mod(1549,5292)]
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, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("5292.1549");
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.i (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: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 252) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 2125.2 | ||
Root | \(0.500000 - 1.41036i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5292.2125 |
Dual form | 5292.2.i.f.1549.2 |
$q$-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 \(\left(\mathbb{Z}/5292\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) | \(2647\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 | ||||||||
\(5\) | 0.119562 | − | 0.207087i | 0.0534696 | − | 0.0926120i | −0.838052 | − | 0.545591i | \(-0.816305\pi\) |
0.891521 | + | 0.452979i | \(0.149639\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.56238 | − | 4.43818i | −0.772587 | − | 1.33816i | −0.936141 | − | 0.351626i | \(-0.885629\pi\) |
0.163554 | − | 0.986534i | \(-0.447704\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.44282 | + | 4.23109i | 0.677516 | + | 1.17349i | 0.975727 | + | 0.218993i | \(0.0702770\pi\) |
−0.298210 | + | 0.954500i | \(0.596390\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.85185 | − | 3.20750i | 0.449139 | − | 0.777932i | −0.549191 | − | 0.835697i | \(-0.685064\pi\) |
0.998330 | + | 0.0577649i | \(0.0183974\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.83009 | − | 3.16982i | −0.419853 | − | 0.727206i | 0.576072 | − | 0.817399i | \(-0.304585\pi\) |
−0.995924 | + | 0.0901932i | \(0.971252\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.71053 | − | 6.42683i | 0.773700 | − | 1.34009i | −0.161823 | − | 0.986820i | \(-0.551737\pi\) |
0.935522 | − | 0.353267i | \(-0.114929\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.47141 | + | 4.28061i | 0.494282 | + | 0.856122i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.73229 | − | 3.00041i | 0.321678 | − | 0.557162i | −0.659157 | − | 0.752006i | \(-0.729087\pi\) |
0.980834 | + | 0.194844i | \(0.0624200\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.717370 | −0.128843 | −0.0644217 | − | 0.997923i | \(-0.520520\pi\) | ||||
−0.0644217 | + | 0.997923i | \(0.520520\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.30150 | − | 3.98632i | −0.378365 | − | 0.655348i | 0.612459 | − | 0.790502i | \(-0.290180\pi\) |
−0.990825 | + | 0.135154i | \(0.956847\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.80150 | + | 4.85235i | 0.437522 | + | 0.757810i | 0.997498 | − | 0.0706992i | \(-0.0225230\pi\) |
−0.559976 | + | 0.828509i | \(0.689190\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.24433 | + | 10.8155i | −0.952251 | + | 1.64935i | −0.211713 | + | 0.977332i | \(0.567904\pi\) |
−0.740538 | + | 0.672015i | \(0.765429\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.33981 | −0.633026 | −0.316513 | − | 0.948588i | \(-0.602512\pi\) | ||||
−0.316513 | + | 0.948588i | \(0.602512\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.471410 | + | 0.816506i | −0.0647531 | + | 0.112156i | −0.896584 | − | 0.442873i | \(-0.853959\pi\) |
0.831831 | + | 0.555029i | \(0.187293\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.22545 | −0.165240 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −7.57893 | −0.986693 | −0.493347 | − | 0.869833i | \(-0.664227\pi\) | ||||
−0.493347 | + | 0.869833i | \(0.664227\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.50808 | 0.705237 | 0.352619 | − | 0.935767i | \(-0.385291\pi\) | ||||
0.352619 | + | 0.935767i | \(0.385291\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.16827 | 0.144906 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.660190 | −0.0806550 | −0.0403275 | − | 0.999187i | \(-0.512840\pi\) | ||||
−0.0403275 | + | 0.999187i | \(0.512840\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −13.7414 | −1.63081 | −0.815405 | − | 0.578891i | \(-0.803486\pi\) | ||||
−0.815405 | + | 0.578891i | \(0.803486\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.83009 | − | 3.16982i | 0.214196 | − | 0.370999i | −0.738827 | − | 0.673895i | \(-0.764620\pi\) |
0.953024 | + | 0.302896i | \(0.0979534\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.22545 | −0.700418 | −0.350209 | − | 0.936672i | \(-0.613889\pi\) | ||||
−0.350209 | + | 0.936672i | \(0.613889\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.85185 | − | 8.40365i | 0.532560 | − | 0.922420i | −0.466718 | − | 0.884406i | \(-0.654564\pi\) |
0.999277 | − | 0.0380138i | \(-0.0121031\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.442820 | − | 0.766987i | −0.0480306 | − | 0.0831914i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.74433 | − | 6.48536i | −0.396898 | − | 0.687447i | 0.596444 | − | 0.802655i | \(-0.296580\pi\) |
−0.993341 | + | 0.115208i | \(0.963247\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.875237 | −0.0897974 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.57442 | − | 14.8513i | 0.870600 | − | 1.50792i | 0.00922376 | − | 0.999957i | \(-0.497064\pi\) |
0.861377 | − | 0.507967i | \(-0.169603\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.59097 | + | 6.21975i | 0.357315 | + | 0.618888i | 0.987511 | − | 0.157548i | \(-0.0503589\pi\) |
−0.630196 | + | 0.776436i | \(0.717026\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.41423 | − | 11.1098i | 0.632013 | − | 1.09468i | −0.355127 | − | 0.934818i | \(-0.615562\pi\) |
0.987140 | − | 0.159860i | \(-0.0511044\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.78263 | + | 6.55171i | 0.365681 | + | 0.633377i | 0.988885 | − | 0.148681i | \(-0.0475029\pi\) |
−0.623204 | + | 0.782059i | \(0.714170\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.49028 | − | 6.04535i | 0.334309 | − | 0.579040i | −0.649043 | − | 0.760752i | \(-0.724831\pi\) |
0.983352 | + | 0.181712i | \(0.0581639\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.78495 | − | 16.9480i | −0.920491 | − | 1.59434i | −0.798657 | − | 0.601787i | \(-0.794456\pi\) |
−0.121834 | − | 0.992550i | \(-0.538878\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.887275 | − | 1.53681i | −0.0827388 | − | 0.143308i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.63160 | + | 13.2183i | −0.693782 | + | 1.20167i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.37756 | 0.212655 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −16.8090 | −1.49156 | −0.745780 | − | 0.666192i | \(-0.767923\pi\) | ||||
−0.745780 | + | 0.666192i | \(0.767923\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.44966 | − | 4.24293i | 0.214027 | − | 0.370706i | −0.738944 | − | 0.673767i | \(-0.764675\pi\) |
0.952971 | + | 0.303061i | \(0.0980085\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2.72257 | + | 4.71563i | 0.232605 | + | 0.402884i | 0.958574 | − | 0.284844i | \(-0.0919417\pi\) |
−0.725969 | + | 0.687727i | \(0.758608\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.83009 | − | 4.90187i | −0.240046 | − | 0.415771i | 0.720681 | − | 0.693266i | \(-0.243829\pi\) |
−0.960727 | + | 0.277495i | \(0.910496\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 12.5189 | − | 21.6833i | 1.04688 | − | 1.81325i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.414230 | − | 0.717468i | −0.0343999 | − | 0.0595824i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.14132 | − | 1.97682i | 0.0935002 | − | 0.161947i | −0.815481 | − | 0.578783i | \(-0.803528\pi\) |
0.908982 | + | 0.416836i | \(0.136861\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.63160 | − | 9.75422i | −0.458293 | − | 0.793787i | 0.540578 | − | 0.841294i | \(-0.318206\pi\) |
−0.998871 | + | 0.0475071i | \(0.984872\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.0857699 | + | 0.148558i | −0.00688921 | + | 0.0119325i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.54583 | 0.442605 | 0.221303 | − | 0.975205i | \(-0.428969\pi\) | ||||
0.221303 | + | 0.975205i | \(0.428969\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.33009 | − | 5.76789i | −0.260833 | − | 0.451776i | 0.705630 | − | 0.708580i | \(-0.250664\pi\) |
−0.966464 | + | 0.256804i | \(0.917331\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.20370 | + | 3.81691i | 0.170527 | + | 0.295362i | 0.938604 | − | 0.344996i | \(-0.112120\pi\) |
−0.768077 | + | 0.640357i | \(0.778786\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.43474 | + | 9.41325i | −0.418057 | + | 0.724096i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −25.3308 | −1.92586 | −0.962932 | − | 0.269745i | \(-0.913061\pi\) | ||||
−0.962932 | + | 0.269745i | \(0.913061\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.77292 | − | 8.26693i | 0.356744 | − | 0.617899i | −0.630670 | − | 0.776051i | \(-0.717220\pi\) |
0.987415 | + | 0.158151i | \(0.0505534\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.3743 | 0.919774 | 0.459887 | − | 0.887978i | \(-0.347890\pi\) | ||||
0.459887 | + | 0.887978i | \(0.347890\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1.10069 | −0.0809241 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −18.9806 | −1.38800 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −13.1683 | −0.952823 | −0.476411 | − | 0.879223i | \(-0.658063\pi\) | ||||
−0.476411 | + | 0.879223i | \(0.658063\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.1488 | 0.802511 | 0.401256 | − | 0.915966i | \(-0.368574\pi\) | ||||
0.401256 | + | 0.915966i | \(0.368574\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.144194 | 0.0102734 | 0.00513669 | − | 0.999987i | \(-0.498365\pi\) | ||||
0.00513669 | + | 0.999987i | \(0.498365\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.73461 | − | 16.8608i | 0.690068 | − | 1.19523i | −0.281747 | − | 0.959489i | \(-0.590914\pi\) |
0.971815 | − | 0.235744i | \(-0.0757528\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.33981 | 0.0935764 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.37880 | + | 16.2446i | −0.648745 | + | 1.12366i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.61436 | + | 2.79615i | 0.111137 | + | 0.192495i | 0.916229 | − | 0.400655i | \(-0.131217\pi\) |
−0.805092 | + | 0.593150i | \(0.797884\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.49316 | + | 2.58623i | 0.101833 | + | 0.176380i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 18.0949 | 1.21720 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −10.3856 | + | 17.9885i | −0.695474 | + | 1.20460i | 0.274547 | + | 0.961574i | \(0.411472\pi\) |
−0.970021 | + | 0.243022i | \(0.921861\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 10.9714 | + | 19.0030i | 0.728198 | + | 1.26128i | 0.957644 | + | 0.287955i | \(0.0929752\pi\) |
−0.229446 | + | 0.973321i | \(0.573691\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.3856 | + | 19.7205i | −0.752384 | + | 1.30317i | 0.194280 | + | 0.980946i | \(0.437763\pi\) |
−0.946664 | + | 0.322222i | \(0.895570\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.8908 | − | 22.3276i | −0.844507 | − | 1.46273i | −0.886049 | − | 0.463592i | \(-0.846560\pi\) |
0.0415414 | − | 0.999137i | \(-0.486773\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.518875 | + | 0.898718i | −0.0338477 | + | 0.0586259i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −13.6488 | − | 23.6405i | −0.882870 | − | 1.52918i | −0.848136 | − | 0.529779i | \(-0.822275\pi\) |
−0.0347345 | − | 0.999397i | \(-0.511059\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.01724 | − | 8.69011i | −0.323189 | − | 0.559779i | 0.657955 | − | 0.753057i | \(-0.271422\pi\) |
−0.981144 | + | 0.193277i | \(0.938088\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.94119 | − | 15.4866i | 0.568914 | − | 0.985388i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 28.3171 | 1.78736 | 0.893680 | − | 0.448705i | \(-0.148115\pi\) | ||||
0.893680 | + | 0.448705i | \(0.148115\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −38.0312 | −2.39100 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 14.4315 | − | 24.9960i | 0.900210 | − | 1.55921i | 0.0729899 | − | 0.997333i | \(-0.476746\pi\) |
0.827221 | − | 0.561877i | \(-0.189921\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.604645 | − | 1.04728i | −0.0372840 | − | 0.0645778i | 0.846781 | − | 0.531941i | \(-0.178537\pi\) |
−0.884065 | + | 0.467363i | \(0.845204\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.112725 | + | 0.195246i | 0.00692465 | + | 0.0119938i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.50684 | − | 7.80607i | 0.274787 | − | 0.475944i | −0.695295 | − | 0.718725i | \(-0.744726\pi\) |
0.970081 | + | 0.242780i | \(0.0780594\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.80150 | − | 15.2447i | −0.534653 | − | 0.926047i | −0.999180 | − | 0.0404876i | \(-0.987109\pi\) |
0.464527 | − | 0.885559i | \(-0.346224\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 12.6654 | − | 21.9371i | 0.763752 | − | 1.32286i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.727085 | − | 1.25935i | −0.0436863 | − | 0.0756669i | 0.843355 | − | 0.537356i | \(-0.180577\pi\) |
−0.887042 | + | 0.461689i | \(0.847244\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −10.1482 | + | 17.5771i | −0.605388 | + | 1.04856i | 0.386602 | + | 0.922247i | \(0.373649\pi\) |
−0.991990 | + | 0.126316i | \(0.959685\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.60301 | −0.273621 | −0.136810 | − | 0.990597i | \(-0.543685\pi\) | ||||
−0.136810 | + | 0.990597i | \(0.543685\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.64132 | + | 2.84284i | 0.0965479 | + | 0.167226i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.53667 | − | 6.12569i | −0.206614 | − | 0.357867i | 0.744031 | − | 0.668145i | \(-0.232911\pi\) |
−0.950646 | + | 0.310278i | \(0.899578\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.906150 | + | 1.56950i | −0.0527581 | + | 0.0913797i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 36.2567 | 2.09678 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.658555 | − | 1.14065i | 0.0377088 | − | 0.0653135i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 15.7518 | 0.899006 | 0.449503 | − | 0.893279i | \(-0.351601\pi\) | ||||
0.449503 | + | 0.893279i | \(0.351601\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 19.6238 | 1.11276 | 0.556382 | − | 0.830926i | \(-0.312189\pi\) | ||||
0.556382 | + | 0.830926i | \(0.312189\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −25.4854 | −1.44052 | −0.720259 | − | 0.693705i | \(-0.755977\pi\) | ||||
−0.720259 | + | 0.693705i | \(0.755977\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −8.28263 | −0.465199 | −0.232599 | − | 0.972573i | \(-0.574723\pi\) | ||||
−0.232599 | + | 0.972573i | \(0.574723\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −17.7551 | −0.994096 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −13.5562 | −0.754289 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.0744 | + | 20.9135i | −0.669768 | + | 1.16007i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.9806 | −0.658512 | −0.329256 | − | 0.944241i | \(-0.606798\pi\) | ||||
−0.329256 | + | 0.944241i | \(0.606798\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.0789334 | + | 0.136717i | −0.00431259 | + | 0.00746963i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.46006 | + | 11.1892i | 0.351902 | + | 0.609512i | 0.986583 | − | 0.163262i | \(-0.0522017\pi\) |
−0.634681 | + | 0.772774i | \(0.718868\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.83818 | + | 3.18381i | 0.0995428 | + | 0.172413i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −16.1866 | −0.868942 | −0.434471 | − | 0.900686i | \(-0.643065\pi\) | ||||
−0.434471 | + | 0.900686i | \(0.643065\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 9.05718 | − | 15.6875i | 0.484820 | − | 0.839732i | −0.515028 | − | 0.857173i | \(-0.672219\pi\) |
0.999848 | + | 0.0174409i | \(0.00555188\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.84897 | − | 10.1307i | −0.311309 | − | 0.539203i | 0.667337 | − | 0.744756i | \(-0.267434\pi\) |
−0.978646 | + | 0.205553i | \(0.934101\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.64295 | + | 2.84567i | −0.0871987 | + | 0.151033i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 17.8623 | + | 30.9383i | 0.942734 | + | 1.63286i | 0.760227 | + | 0.649658i | \(0.225088\pi\) |
0.182507 | + | 0.983205i | \(0.441579\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.80150 | − | 4.85235i | 0.147448 | − | 0.255387i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.437618 | − | 0.757977i | −0.0229060 | − | 0.0396743i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −8.52696 | − | 14.7691i | −0.445103 | − | 0.770942i | 0.552956 | − | 0.833210i | \(-0.313500\pi\) |
−0.998059 | + | 0.0622687i | \(0.980166\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.9617 | − | 22.4503i | 0.671131 | − | 1.16243i | −0.306453 | − | 0.951886i | \(-0.599142\pi\) |
0.977584 | − | 0.210547i | \(-0.0675246\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 16.9267 | 0.871767 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 26.8446 | 1.37892 | 0.689458 | − | 0.724326i | \(-0.257849\pi\) | ||||
0.689458 | + | 0.724326i | \(0.257849\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 12.4263 | − | 21.5229i | 0.634953 | − | 1.09977i | −0.351573 | − | 0.936161i | \(-0.614353\pi\) |
0.986525 | − | 0.163610i | \(-0.0523137\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −9.12640 | − | 15.8074i | −0.462727 | − | 0.801466i | 0.536369 | − | 0.843984i | \(-0.319796\pi\) |
−0.999096 | + | 0.0425174i | \(0.986462\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −13.7427 | − | 23.8030i | −0.694998 | − | 1.20377i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.744325 | + | 1.28921i | −0.0374511 | + | 0.0648671i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −6.18715 | − | 10.7164i | −0.310524 | − | 0.537843i | 0.667952 | − | 0.744204i | \(-0.267171\pi\) |
−0.978476 | + | 0.206361i | \(0.933838\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.48113 | + | 9.49359i | −0.273714 | + | 0.474087i | −0.969810 | − | 0.243862i | \(-0.921586\pi\) |
0.696096 | + | 0.717949i | \(0.254919\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.75241 | − | 3.03526i | −0.0872935 | − | 0.151197i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −11.7947 | + | 20.4290i | −0.584640 | + | 1.01263i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −13.3204 | −0.658650 | −0.329325 | − | 0.944217i | \(-0.606821\pi\) | ||||
−0.329325 | + | 0.944217i | \(0.606821\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.16019 | − | 2.00951i | −0.0569515 | − | 0.0986429i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.35705 | + | 4.08253i | 0.115149 | + | 0.199445i | 0.917839 | − | 0.396952i | \(-0.129932\pi\) |
−0.802690 | + | 0.596396i | \(0.796599\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.65856 | + | 16.7291i | −0.470729 | + | 0.815327i | −0.999440 | − | 0.0334755i | \(-0.989342\pi\) |
0.528710 | + | 0.848802i | \(0.322676\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 18.3067 | 0.888006 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −15.1397 | + | 26.2227i | −0.729253 | + | 1.26310i | 0.227947 | + | 0.973674i | \(0.426799\pi\) |
−0.957199 | + | 0.289429i | \(0.906535\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 34.2060 | 1.64384 | 0.821918 | − | 0.569606i | \(-0.192904\pi\) | ||||
0.821918 | + | 0.569606i | \(0.192904\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −27.1625 | −1.29936 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.622440 | −0.0297075 | −0.0148537 | − | 0.999890i | \(-0.504728\pi\) | ||||
−0.0148537 | + | 0.999890i | \(0.504728\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 5.17867 | 0.246046 | 0.123023 | − | 0.992404i | \(-0.460741\pi\) | ||||
0.123023 | + | 0.992404i | \(0.460741\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.79071 | −0.0848878 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.4977 | 0.495416 | 0.247708 | − | 0.968835i | \(-0.420323\pi\) | ||||
0.247708 | + | 0.968835i | \(0.420323\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.3571 | − | 24.8671i | 0.676047 | − | 1.17095i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −3.20929 | −0.150124 | −0.0750621 | − | 0.997179i | \(-0.523916\pi\) | ||||
−0.0750621 | + | 0.997179i | \(0.523916\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −18.1150 | + | 31.3762i | −0.843702 | + | 1.46133i | 0.0430418 | + | 0.999073i | \(0.486295\pi\) |
−0.886744 | + | 0.462261i | \(0.847038\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.5253 | − | 25.1586i | −0.675049 | − | 1.16922i | −0.976455 | − | 0.215723i | \(-0.930789\pi\) |
0.301406 | − | 0.953496i | \(-0.402544\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −18.7466 | − | 32.4701i | −0.867491 | − | 1.50254i | −0.864552 | − | 0.502544i | \(-0.832398\pi\) |
−0.00293952 | − | 0.999996i | \(-0.500936\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 64.0014 | 2.94279 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.04583 | − | 15.6678i | 0.415051 | − | 0.718890i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 14.9549 | + | 25.9026i | 0.683305 | + | 1.18352i | 0.973966 | + | 0.226693i | \(0.0727914\pi\) |
−0.290661 | + | 0.956826i | \(0.593875\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.2443 | − | 19.4757i | 0.512697 | − | 0.888017i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.05034 | − | 3.55130i | −0.0931013 | − | 0.161256i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.6316 | + | 18.4145i | −0.481764 | + | 0.834439i | −0.999781 | − | 0.0209309i | \(-0.993337\pi\) |
0.518017 | + | 0.855370i | \(0.326670\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −10.6985 | − | 18.5303i | −0.482816 | − | 0.836262i | 0.516989 | − | 0.855992i | \(-0.327053\pi\) |
−0.999805 | + | 0.0197296i | \(0.993719\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.41586 | − | 11.1126i | −0.288956 | − | 0.500487i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.28263 | + | 12.6139i | −0.326015 | + | 0.564675i | −0.981717 | − | 0.190345i | \(-0.939039\pi\) |
0.655702 | + | 0.755020i | \(0.272373\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −2.92339 | −0.130348 | −0.0651738 | − | 0.997874i | \(-0.520760\pi\) | ||||
−0.0651738 | + | 0.997874i | \(0.520760\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.71737 | 0.0764220 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −9.62025 | + | 16.6628i | −0.426410 | + | 0.738564i | −0.996551 | − | 0.0829830i | \(-0.973555\pi\) |
0.570141 | + | 0.821547i | \(0.306889\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.53379 | − | 2.65661i | −0.0675869 | − | 0.117064i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.1202 | + | 19.2608i | 0.489068 | + | 0.847091i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.8743 | − | 24.0310i | 0.607844 | − | 1.05282i | −0.383751 | − | 0.923436i | \(-0.625368\pi\) |
0.991595 | − | 0.129380i | \(-0.0412986\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.36840 | + | 2.37014i | 0.0598360 | + | 0.103639i | 0.894392 | − | 0.447285i | \(-0.147609\pi\) |
−0.834556 | + | 0.550924i | \(0.814276\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.32846 | + | 2.30096i | −0.0578686 | + | 0.100231i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −16.0361 | − | 27.7754i | −0.697222 | − | 1.20762i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −13.6871 | + | 23.7068i | −0.592856 | + | 1.02686i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.80903 | 0.0782112 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.98865 | + | 10.3726i | 0.257472 | + | 0.445955i | 0.965564 | − | 0.260165i | \(-0.0837771\pi\) |
−0.708092 | + | 0.706120i | \(0.750444\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.834608 | − | 1.44558i | −0.0357507 | − | 0.0619220i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.7346 | − | 18.5929i | 0.458979 | − | 0.794975i | −0.539928 | − | 0.841711i | \(-0.681549\pi\) |
0.998907 | + | 0.0467363i | \(0.0148821\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −12.6810 | −0.540229 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −15.9246 | + | 27.5823i | −0.674748 | + | 1.16870i | 0.301794 | + | 0.953373i | \(0.402415\pi\) |
−0.976542 | + | 0.215325i | \(0.930919\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −61.0150 | −2.58066 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −35.5483 | −1.49818 | −0.749091 | − | 0.662467i | \(-0.769510\pi\) | ||||
−0.749091 | + | 0.662467i | \(0.769510\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.67962 | −0.196873 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −21.7486 | −0.911748 | −0.455874 | − | 0.890044i | \(-0.650673\pi\) | ||||
−0.455874 | + | 0.890044i | \(0.650673\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.59974 | −0.401737 | −0.200868 | − | 0.979618i | \(-0.564376\pi\) | ||||
−0.200868 | + | 0.979618i | \(0.564376\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 36.6810 | 1.52970 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.50916 | + | 11.2742i | −0.270980 | + | 0.469351i | −0.969113 | − | 0.246617i | \(-0.920681\pi\) |
0.698133 | + | 0.715968i | \(0.254014\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.83173 | 0.200110 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 8.64364 | − | 14.9712i | 0.356761 | − | 0.617928i | −0.630657 | − | 0.776062i | \(-0.717214\pi\) |
0.987418 | + | 0.158134i | \(0.0505477\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.31285 | + | 2.27393i | 0.0540952 | + | 0.0936957i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 6.20765 | + | 10.7520i | 0.254918 | + | 0.441531i | 0.964873 | − | 0.262716i | \(-0.0846182\pi\) |
−0.709955 | + | 0.704247i | \(0.751285\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 7.88564 | 0.322199 | 0.161099 | − | 0.986938i | \(-0.448496\pi\) | ||||
0.161099 | + | 0.986938i | \(0.448496\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.1413 | + | 19.2973i | −0.454464 | + | 0.787154i | −0.998657 | − | 0.0518055i | \(-0.983502\pi\) |
0.544193 | + | 0.838960i | \(0.316836\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.82489 | + | 3.16081i | 0.0741925 | + | 0.128505i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.0458 | + | 19.1319i | −0.448336 | + | 0.776541i | −0.998278 | − | 0.0586617i | \(-0.981317\pi\) |
0.549942 | + | 0.835203i | \(0.314650\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −10.6014 | − | 18.3621i | −0.428886 | − | 0.742852i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.7632 | − | 25.5706i | 0.596280 | − | 1.03279i | −0.397085 | − | 0.917782i | \(-0.629978\pi\) |
0.993365 | − | 0.115005i | \(-0.0366885\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −5.01655 | − | 8.68892i | −0.201959 | − | 0.349803i | 0.747201 | − | 0.664598i | \(-0.231397\pi\) |
−0.949159 | + | 0.314796i | \(0.898064\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 19.1283 | + | 33.1312i | 0.768833 | + | 1.33166i | 0.938196 | + | 0.346103i | \(0.112495\pi\) |
−0.169364 | + | 0.985554i | \(0.554171\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.0728 | + | 20.9107i | −0.482911 | + | 0.836427i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −17.0482 | −0.679754 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −23.0377 | −0.917118 | −0.458559 | − | 0.888664i | \(-0.651634\pi\) | ||||
−0.458559 | + | 0.888664i | \(0.651634\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −2.00972 | + | 3.48093i | −0.0797531 | + | 0.138136i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −8.68646 | − | 15.0454i | −0.343094 | − | 0.594257i | 0.641911 | − | 0.766779i | \(-0.278142\pi\) |
−0.985006 | + | 0.172522i | \(0.944808\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.47949 | + | 16.4190i | 0.373835 | + | 0.647501i | 0.990152 | − | 0.139997i | \(-0.0447094\pi\) |
−0.616317 | + | 0.787498i | \(0.711376\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 9.50972 | − | 16.4713i | 0.373865 | − | 0.647554i | −0.616291 | − | 0.787518i | \(-0.711366\pi\) |
0.990157 | + | 0.139964i | \(0.0446988\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 19.4201 | + | 33.6366i | 0.762306 | + | 1.32035i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −3.59329 | + | 6.22377i | −0.140616 | + | 0.243555i | −0.927729 | − | 0.373255i | \(-0.878242\pi\) |
0.787112 | + | 0.616810i | \(0.211575\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.585770 | − | 1.01458i | −0.0228879 | − | 0.0396430i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 12.7261 | − | 22.0423i | 0.495740 | − | 0.858647i | −0.504248 | − | 0.863559i | \(-0.668230\pi\) |
0.999988 | + | 0.00491209i | \(0.00156357\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.28590 | 0.322284 | 0.161142 | − | 0.986931i | \(-0.448482\pi\) | ||||
0.161142 | + | 0.986931i | \(0.448482\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −12.8554 | − | 22.2662i | −0.497764 | − | 0.862152i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −14.1138 | − | 24.4458i | −0.544857 | − | 0.943721i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.91586 | − | 10.2466i | 0.228040 | − | 0.394977i | −0.729187 | − | 0.684314i | \(-0.760102\pi\) |
0.957227 | + | 0.289338i | \(0.0934350\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −13.6063 | −0.522932 | −0.261466 | − | 0.965213i | \(-0.584206\pi\) | ||||
−0.261466 | + | 0.965213i | \(0.584206\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1.79071 | − | 3.10160i | 0.0685196 | − | 0.118679i | −0.829730 | − | 0.558165i | \(-0.811506\pi\) |
0.898250 | + | 0.439485i | \(0.144839\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.30206 | 0.0497492 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4.60628 | −0.175485 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.7174 | 0.445750 | 0.222875 | − | 0.974847i | \(-0.428456\pi\) | ||||
0.222875 | + | 0.974847i | \(0.428456\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1.35348 | −0.0513405 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 20.7518 | 0.786032 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 10.5926 | 0.400077 | 0.200039 | − | 0.979788i | \(-0.435893\pi\) | ||||
0.200039 | + | 0.979788i | \(0.435893\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.42395 | + | 14.5907i | −0.317715 | + | 0.550299i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 38.2977 | 1.43830 | 0.719150 | − | 0.694855i | \(-0.244532\pi\) | ||||
0.719150 | + | 0.694855i | \(0.244532\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.66182 | + | 4.61042i | −0.0996861 | + | 0.172661i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.99355 | − | 5.18499i | −0.111953 | − | 0.193908i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 20.8376 | + | 36.0918i | 0.777112 | + | 1.34600i | 0.933600 | + | 0.358318i | \(0.116650\pi\) |
−0.156488 | + | 0.987680i | \(0.550017\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 17.1248 | 0.635998 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.4126 | − | 28.4274i | 0.608709 | − | 1.05432i | −0.382744 | − | 0.923854i | \(-0.625021\pi\) |
0.991453 | − | 0.130461i | \(-0.0416458\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 23.1271 | + | 40.0573i | 0.855386 | + | 1.48157i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.64884 | + | 8.05203i | −0.171709 | + | 0.297408i | −0.939017 | − | 0.343870i | \(-0.888262\pi\) |
0.767309 | + | 0.641278i | \(0.221595\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.69166 | + | 2.93004i | 0.0623130 | + | 0.107929i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.68878 | + | 9.85326i | −0.209265 | + | 0.362458i | −0.951483 | − | 0.307701i | \(-0.900441\pi\) |
0.742218 | + | 0.670158i | \(0.233774\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.16182 | − | 2.01234i | −0.0426232 | − | 0.0738256i | 0.843927 | − | 0.536458i | \(-0.180238\pi\) |
−0.886550 | + | 0.462633i | \(0.846905\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.272915 | − | 0.472703i | −0.00999883 | − | 0.0173185i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.56690 | − | 9.64215i | 0.203139 | − | 0.351847i | −0.746399 | − | 0.665498i | \(-0.768219\pi\) |
0.949538 | + | 0.313652i | \(0.101552\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.69329 | −0.0980190 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 52.1639 | 1.89593 | 0.947964 | − | 0.318376i | \(-0.103138\pi\) | ||||
0.947964 | + | 0.318376i | \(0.103138\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −23.5127 | + | 40.7252i | −0.852336 | + | 1.47629i | 0.0267592 | + | 0.999642i | \(0.491481\pi\) |
−0.879095 | + | 0.476647i | \(0.841852\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −18.5140 | − | 32.0671i | −0.668501 | − | 1.15788i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.30314 | + | 5.72121i | 0.119114 | + | 0.206312i | 0.919417 | − | 0.393284i | \(-0.128661\pi\) |
−0.800303 | + | 0.599596i | \(0.795328\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 9.54351 | − | 16.5298i | 0.343256 | − | 0.594537i | −0.641779 | − | 0.766889i | \(-0.721803\pi\) |
0.985035 | + | 0.172352i | \(0.0551368\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.77292 | − | 3.07078i | −0.0636850 | − | 0.110306i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 10.2540 | − | 17.7605i | 0.367389 | − | 0.636337i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 35.2108 | + | 60.9869i | 1.25994 | + | 2.18228i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.663069 | − | 1.14847i | 0.0236659 | − | 0.0409906i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 50.9007 | 1.81441 | 0.907207 | − | 0.420685i | \(-0.138210\pi\) | ||||
0.907207 | + | 0.420685i | \(0.138210\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13.4552 | + | 23.3052i | 0.477810 | + | 0.827591i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 4.38727 | + | 7.59898i | 0.155405 | + | 0.269170i | 0.933207 | − | 0.359341i | \(-0.116998\pi\) |
−0.777801 | + | 0.628510i | \(0.783665\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.03667 | + | 13.9199i | −0.284317 | + | 0.492451i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −18.7576 | −0.661942 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −4.75692 | + | 8.23923i | −0.167244 | + | 0.289676i | −0.937450 | − | 0.348120i | \(-0.886820\pi\) |
0.770206 | + | 0.637796i | \(0.220154\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −25.0118 | −0.878282 | −0.439141 | − | 0.898418i | \(-0.644717\pi\) | ||||
−0.439141 | + | 0.898418i | \(0.644717\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.59261 | −0.0557866 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 45.7108 | 1.59922 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 35.5940 | 1.24224 | 0.621119 | − | 0.783716i | \(-0.286678\pi\) | ||||
0.621119 | + | 0.783716i | \(0.286678\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 16.0000 | 0.557725 | 0.278862 | − | 0.960331i | \(-0.410043\pi\) | ||||
0.278862 | + | 0.960331i | \(0.410043\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 25.4531 | 0.885090 | 0.442545 | − | 0.896746i | \(-0.354076\pi\) | ||||
0.442545 | + | 0.896746i | \(0.354076\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.77292 | − | 15.1951i | 0.304696 | − | 0.527749i | −0.672498 | − | 0.740099i | \(-0.734778\pi\) |
0.977194 | + | 0.212350i | \(0.0681118\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.05391 | 0.0364721 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 12.0562 | − | 20.8820i | 0.416227 | − | 0.720927i | −0.579329 | − | 0.815094i | \(-0.696685\pi\) |
0.995556 | + | 0.0941668i | \(0.0300187\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 8.49837 | + | 14.7196i | 0.293047 | + | 0.507572i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.29957 | + | 2.25093i | 0.0447067 | + | 0.0774342i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −34.1592 | −1.17096 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −16.2616 | + | 28.1659i | −0.556785 | + | 0.964381i | 0.440977 | + | 0.897518i | \(0.354632\pi\) |
−0.997762 | + | 0.0668621i | \(0.978701\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −0.299870 | − | 0.519390i | −0.0102434 | − | 0.0177420i | 0.860858 | − | 0.508845i | \(-0.169927\pi\) |
−0.871102 | + | 0.491103i | \(0.836594\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 13.2174 | − | 22.8932i | 0.450971 | − | 0.781104i | −0.547476 | − | 0.836822i | \(-0.684411\pi\) |
0.998447 | + | 0.0557171i | \(0.0177445\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 9.92270 | + | 17.1866i | 0.337773 | + | 0.585039i | 0.984013 | − | 0.178094i | \(-0.0569932\pi\) |
−0.646241 | + | 0.763134i | \(0.723660\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.02859 | + | 5.24567i | −0.102975 | + | 0.178358i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 15.9520 | + | 27.6296i | 0.541134 | + | 0.937271i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.61273 | − | 2.79332i | −0.0546451 | − | 0.0946481i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.2352 | + | 17.7278i | −0.345617 | + | 0.598626i | −0.985466 | − | 0.169875i | \(-0.945664\pi\) |
0.639849 | + | 0.768501i | \(0.278997\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 31.1683 | 1.05009 | 0.525043 | − | 0.851076i | \(-0.324049\pi\) | ||||
0.525043 | + | 0.851076i | \(0.324049\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.64187 | −0.0889060 | −0.0444530 | − | 0.999011i | \(-0.514154\pi\) | ||||
−0.0444530 | + | 0.999011i | \(0.514154\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −11.5825 | + | 20.0615i | −0.388902 | + | 0.673599i | −0.992302 | − | 0.123840i | \(-0.960479\pi\) |
0.603400 | + | 0.797439i | \(0.293812\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 7.94226 | + | 13.7564i | 0.265778 | + | 0.460341i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.14132 | − | 1.97682i | −0.0381500 | − | 0.0660777i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.24269 | + | 2.15240i | −0.0414460 | + | 0.0717866i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.74596 | + | 3.02409i | 0.0581664 | + | 0.100747i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 1.47949 | − | 2.56255i | 0.0491799 | − | 0.0851821i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 25.0264 | + | 43.3470i | 0.830988 | + | 1.43931i | 0.897256 | + | 0.441511i | \(0.145558\pi\) |
−0.0662676 | + | 0.997802i | \(0.521109\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.42231 | + | 9.39172i | −0.179649 | + | 0.311161i | −0.941760 | − | 0.336285i | \(-0.890830\pi\) |
0.762111 | + | 0.647446i | \(0.224163\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −49.7292 | −1.64579 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.59549 | − | 9.69166i | −0.184578 | − | 0.319699i | 0.758856 | − | 0.651258i | \(-0.225759\pi\) |
−0.943434 | + | 0.331560i | \(0.892425\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −33.5679 | − | 58.1413i | −1.10490 | − | 1.91374i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.3759 | − | 19.7037i | 0.374038 | − | 0.647853i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −41.2955 | −1.35486 | −0.677431 | − | 0.735586i | \(-0.736907\pi\) | ||||
−0.677431 | + | 0.735586i | \(0.736907\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −2.26935 | + | 3.93063i | −0.0742156 | + | 0.128545i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −33.5620 | −1.09642 | −0.548211 | − | 0.836340i | \(-0.684691\pi\) | ||||
−0.548211 | + | 0.836340i | \(0.684691\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −50.4224 | −1.64372 | −0.821862 | − | 0.569686i | \(-0.807065\pi\) | ||||
−0.821862 | + | 0.569686i | \(0.807065\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 41.5803 | 1.35404 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −20.2424 | −0.657789 | −0.328895 | − | 0.944367i | \(-0.606676\pi\) | ||||
−0.328895 | + | 0.944367i | \(0.606676\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.8824 | 0.580486 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 29.3685 | 0.951340 | 0.475670 | − | 0.879624i | \(-0.342206\pi\) | ||||
0.475670 | + | 0.879624i | \(0.342206\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.57442 | + | 2.72698i | −0.0509470 | + | 0.0882429i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.4854 | −0.983399 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.33297 | − | 2.30878i | 0.0429099 | − | 0.0743222i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.2157 | + | 26.3544i | 0.489305 | + | 0.847501i | 0.999924 | − | 0.0123057i | \(-0.00391714\pi\) |
−0.510619 | + | 0.859807i | \(0.670584\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 3.59329 | + | 6.22377i | 0.115314 | + | 0.199730i | 0.917905 | − | 0.396799i | \(-0.129879\pi\) |
−0.802591 | + | 0.596530i | \(0.796546\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −28.5426 | −0.913157 | −0.456579 | − | 0.889683i | \(-0.650925\pi\) | ||||
−0.456579 | + | 0.889683i | \(0.650925\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −19.1888 | + | 33.2359i | −0.613276 | + | 1.06223i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.20821 | + | 3.82473i | 0.0704310 | + | 0.121990i | 0.899090 | − | 0.437763i | \(-0.144229\pi\) |
−0.828659 | + | 0.559753i | \(0.810896\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.0172400 | − | 0.0298606i | 0.000549313 | − | 0.000951438i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 46.3396 | + | 80.2625i | 1.47351 | + | 2.55220i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.90671 | − | 5.03456i | 0.0923345 | − | 0.159928i | −0.816159 | − | 0.577828i | \(-0.803900\pi\) |
0.908493 | + | 0.417900i | \(0.137234\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.32777 | − | 4.03182i | −0.0737953 | − | 0.127817i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 26.3204 | + | 45.5882i | 0.833575 | + | 1.44379i | 0.895186 | + | 0.445694i | \(0.147043\pi\) |
−0.0616108 | + | 0.998100i | \(0.519624\pi\) | |||||||
\(998\) | 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 \(a_p\))