Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(26,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.26");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.s (of order \(6\), 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 458.2 | ||
Root | \(1.22474 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 567.458 |
Dual form | 567.2.s.d.26.2 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.22474 | + | 0.707107i | 0.866025 | + | 0.500000i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.44949 | −1.09545 | −0.547723 | − | 0.836660i | \(-0.684505\pi\) | ||||
−0.547723 | + | 0.836660i | \(0.684505\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.50000 | − | 0.866025i | 0.944911 | − | 0.327327i | ||||
\(8\) | − | 2.82843i | − | 1.00000i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.00000 | − | 1.73205i | −0.948683 | − | 0.547723i | ||||
\(11\) | − | 1.41421i | − | 0.426401i | −0.977008 | − | 0.213201i | \(-0.931611\pi\) | ||
0.977008 | − | 0.213201i | \(-0.0683888\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.50000 | + | 2.59808i | 1.24808 | + | 0.720577i | 0.970725 | − | 0.240192i | \(-0.0772105\pi\) |
0.277350 | + | 0.960769i | \(0.410544\pi\) | |||||||
\(14\) | 3.67423 | + | 0.707107i | 0.981981 | + | 0.188982i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.00000 | − | 3.46410i | 0.500000 | − | 0.866025i | ||||
\(17\) | 2.44949 | − | 4.24264i | 0.594089 | − | 1.02899i | −0.399586 | − | 0.916696i | \(-0.630846\pi\) |
0.993675 | − | 0.112296i | \(-0.0358205\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.50000 | − | 0.866025i | 0.344124 | − | 0.198680i | −0.317970 | − | 0.948101i | \(-0.603001\pi\) |
0.662094 | + | 0.749421i | \(0.269668\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.00000 | − | 1.73205i | 0.213201 | − | 0.369274i | ||||
\(23\) | − | 5.65685i | − | 1.17954i | −0.807573 | − | 0.589768i | \(-0.799219\pi\) | ||
0.807573 | − | 0.589768i | \(-0.200781\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 3.67423 | + | 6.36396i | 0.720577 | + | 1.24808i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.44949 | − | 1.41421i | 0.454859 | − | 0.262613i | −0.255021 | − | 0.966935i | \(-0.582082\pi\) |
0.709880 | + | 0.704323i | \(0.248749\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.50000 | + | 0.866025i | −0.269408 | + | 0.155543i | −0.628619 | − | 0.777714i | \(-0.716379\pi\) |
0.359211 | + | 0.933257i | \(0.383046\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.00000 | − | 3.46410i | 1.02899 | − | 0.594089i | ||||
\(35\) | −6.12372 | + | 2.12132i | −1.03510 | + | 0.358569i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.500000 | + | 0.866025i | 0.0821995 | + | 0.142374i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | 2.44949 | 0.397360 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.92820i | 1.09545i | ||||||||
\(41\) | −3.67423 | + | 6.36396i | −0.573819 | + | 0.993884i | 0.422350 | + | 0.906433i | \(0.361205\pi\) |
−0.996169 | + | 0.0874508i | \(0.972128\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.500000 | + | 0.866025i | 0.0762493 | + | 0.132068i | 0.901629 | − | 0.432511i | \(-0.142372\pi\) |
−0.825380 | + | 0.564578i | \(0.809039\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.00000 | − | 6.92820i | 0.589768 | − | 1.02151i | ||||
\(47\) | −6.12372 | + | 10.6066i | −0.893237 | + | 1.54713i | −0.0572655 | + | 0.998359i | \(0.518238\pi\) |
−0.835971 | + | 0.548773i | \(0.815095\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.50000 | − | 4.33013i | 0.785714 | − | 0.618590i | ||||
\(50\) | 1.22474 | + | 0.707107i | 0.173205 | + | 0.100000i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.44949 | − | 1.41421i | −0.336463 | − | 0.194257i | 0.322244 | − | 0.946657i | \(-0.395563\pi\) |
−0.658707 | + | 0.752400i | \(0.728896\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.46410i | 0.467099i | ||||||||
\(56\) | −2.44949 | − | 7.07107i | −0.327327 | − | 0.944911i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.00000 | 0.525226 | ||||||||
\(59\) | 2.44949 | + | 4.24264i | 0.318896 | + | 0.552345i | 0.980258 | − | 0.197722i | \(-0.0633545\pi\) |
−0.661362 | + | 0.750067i | \(0.730021\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.00000 | + | 1.73205i | 0.384111 | + | 0.221766i | 0.679605 | − | 0.733578i | \(-0.262151\pi\) |
−0.295495 | + | 0.955344i | \(0.595484\pi\) | |||||||
\(62\) | −2.44949 | −0.311086 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.00000 | −1.00000 | ||||||||
\(65\) | −11.0227 | − | 6.36396i | −1.36720 | − | 0.789352i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.50000 | − | 9.52628i | −0.671932 | − | 1.16382i | −0.977356 | − | 0.211604i | \(-0.932131\pi\) |
0.305424 | − | 0.952217i | \(-0.401202\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −9.00000 | − | 1.73205i | −1.07571 | − | 0.207020i | ||||
\(71\) | 7.07107i | 0.839181i | 0.907713 | + | 0.419591i | \(0.137826\pi\) | ||||
−0.907713 | + | 0.419591i | \(0.862174\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.50000 | + | 0.866025i | 0.175562 | + | 0.101361i | 0.585206 | − | 0.810885i | \(-0.301014\pi\) |
−0.409644 | + | 0.912245i | \(0.634347\pi\) | |||||||
\(74\) | 1.41421i | 0.164399i | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.22474 | − | 3.53553i | −0.139573 | − | 0.402911i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.50000 | + | 4.33013i | −0.281272 | + | 0.487177i | −0.971698 | − | 0.236225i | \(-0.924090\pi\) |
0.690426 | + | 0.723403i | \(0.257423\pi\) | |||||||
\(80\) | −4.89898 | + | 8.48528i | −0.547723 | + | 0.948683i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.00000 | + | 5.19615i | −0.993884 | + | 0.573819i | ||||
\(83\) | 3.67423 | + | 6.36396i | 0.403300 | + | 0.698535i | 0.994122 | − | 0.108266i | \(-0.0345299\pi\) |
−0.590822 | + | 0.806802i | \(0.701197\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.00000 | + | 10.3923i | −0.650791 | + | 1.12720i | ||||
\(86\) | 1.41421i | 0.152499i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.00000 | −0.426401 | ||||||||
\(89\) | −2.44949 | − | 4.24264i | −0.259645 | − | 0.449719i | 0.706502 | − | 0.707712i | \(-0.250272\pi\) |
−0.966147 | + | 0.257993i | \(0.916939\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 13.5000 | + | 2.59808i | 1.41518 | + | 0.272352i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −15.0000 | + | 8.66025i | −1.54713 | + | 0.893237i | ||||
\(95\) | −3.67423 | + | 2.12132i | −0.376969 | + | 0.217643i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.00000 | + | 5.19615i | −0.913812 | + | 0.527589i | −0.881656 | − | 0.471894i | \(-0.843571\pi\) |
−0.0321560 | + | 0.999483i | \(0.510237\pi\) | |||||||
\(98\) | 9.79796 | − | 1.41421i | 0.989743 | − | 0.142857i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 17.1464 | 1.70613 | 0.853067 | − | 0.521802i | \(-0.174740\pi\) | ||||
0.853067 | + | 0.521802i | \(0.174740\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 8.66025i | − | 0.853320i | −0.904412 | − | 0.426660i | \(-0.859690\pi\) | ||
0.904412 | − | 0.426660i | \(-0.140310\pi\) | |||||||
\(104\) | 7.34847 | − | 12.7279i | 0.720577 | − | 1.24808i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.00000 | − | 3.46410i | −0.194257 | − | 0.336463i | ||||
\(107\) | 2.44949 | − | 1.41421i | 0.236801 | − | 0.136717i | −0.376905 | − | 0.926252i | \(-0.623012\pi\) |
0.613706 | + | 0.789535i | \(0.289678\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.500000 | − | 0.866025i | 0.0478913 | − | 0.0829502i | −0.841086 | − | 0.540901i | \(-0.818083\pi\) |
0.888977 | + | 0.457951i | \(0.151417\pi\) | |||||||
\(110\) | −2.44949 | + | 4.24264i | −0.233550 | + | 0.404520i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.00000 | − | 10.3923i | 0.188982 | − | 0.981981i | ||||
\(113\) | 1.22474 | + | 0.707107i | 0.115214 | + | 0.0665190i | 0.556500 | − | 0.830848i | \(-0.312144\pi\) |
−0.441285 | + | 0.897367i | \(0.645477\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 13.8564i | 1.29212i | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.92820i | 0.637793i | ||||||||
\(119\) | 2.44949 | − | 12.7279i | 0.224544 | − | 1.16677i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.00000 | 0.818182 | ||||||||
\(122\) | 2.44949 | + | 4.24264i | 0.221766 | + | 0.384111i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.79796 | 0.876356 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.0000 | 0.976092 | 0.488046 | − | 0.872818i | \(-0.337710\pi\) | ||||
0.488046 | + | 0.872818i | \(0.337710\pi\) | |||||||
\(128\) | −9.79796 | − | 5.65685i | −0.866025 | − | 0.500000i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −9.00000 | − | 15.5885i | −0.789352 | − | 1.36720i | ||||
\(131\) | −2.44949 | −0.214013 | −0.107006 | − | 0.994258i | \(-0.534127\pi\) | ||||
−0.107006 | + | 0.994258i | \(0.534127\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.00000 | − | 3.46410i | 0.260133 | − | 0.300376i | ||||
\(134\) | − | 15.5563i | − | 1.34386i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −12.0000 | − | 6.92820i | −1.02899 | − | 0.594089i | ||||
\(137\) | 11.3137i | 0.966595i | 0.875456 | + | 0.483298i | \(0.160561\pi\) | ||||
−0.875456 | + | 0.483298i | \(0.839439\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.50000 | + | 2.59808i | 0.381685 | + | 0.220366i | 0.678551 | − | 0.734553i | \(-0.262608\pi\) |
−0.296866 | + | 0.954919i | \(0.595942\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.00000 | + | 8.66025i | −0.419591 | + | 0.726752i | ||||
\(143\) | 3.67423 | − | 6.36396i | 0.307255 | − | 0.532181i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.00000 | + | 3.46410i | −0.498273 | + | 0.287678i | ||||
\(146\) | 1.22474 | + | 2.12132i | 0.101361 | + | 0.175562i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | − | 5.65685i | − | 0.463428i | −0.972784 | − | 0.231714i | \(-0.925567\pi\) | ||
0.972784 | − | 0.231714i | \(-0.0744333\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −22.0000 | −1.79033 | −0.895167 | − | 0.445730i | \(-0.852944\pi\) | ||||
−0.895167 | + | 0.445730i | \(0.852944\pi\) | |||||||
\(152\) | −2.44949 | − | 4.24264i | −0.198680 | − | 0.344124i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.00000 | − | 5.19615i | 0.0805823 | − | 0.418718i | ||||
\(155\) | 3.67423 | − | 2.12132i | 0.295122 | − | 0.170389i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.0000 | + | 8.66025i | −1.19713 | + | 0.691164i | −0.959914 | − | 0.280293i | \(-0.909568\pi\) |
−0.237216 | + | 0.971457i | \(0.576235\pi\) | |||||||
\(158\) | −6.12372 | + | 3.53553i | −0.487177 | + | 0.281272i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.89898 | − | 14.1421i | −0.386094 | − | 1.11456i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.00000 | + | 8.66025i | 0.391630 | + | 0.678323i | 0.992665 | − | 0.120900i | \(-0.0385779\pi\) |
−0.601035 | + | 0.799223i | \(0.705245\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 10.3923i | 0.806599i | ||||||||
\(167\) | −3.67423 | + | 6.36396i | −0.284321 | + | 0.492458i | −0.972444 | − | 0.233136i | \(-0.925101\pi\) |
0.688123 | + | 0.725594i | \(0.258435\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.00000 | + | 12.1244i | 0.538462 | + | 0.932643i | ||||
\(170\) | −14.6969 | + | 8.48528i | −1.12720 | + | 0.650791i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.89898 | − | 8.48528i | 0.372463 | − | 0.645124i | −0.617481 | − | 0.786586i | \(-0.711847\pi\) |
0.989944 | + | 0.141462i | \(0.0451802\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.50000 | − | 0.866025i | 0.188982 | − | 0.0654654i | ||||
\(176\) | −4.89898 | − | 2.82843i | −0.369274 | − | 0.213201i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 6.92820i | − | 0.519291i | ||||||
\(179\) | 8.57321 | + | 4.94975i | 0.640792 | + | 0.369961i | 0.784920 | − | 0.619598i | \(-0.212704\pi\) |
−0.144127 | + | 0.989559i | \(0.546038\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 15.5885i | 1.15868i | 0.815086 | + | 0.579340i | \(0.196690\pi\) | ||||
−0.815086 | + | 0.579340i | \(0.803310\pi\) | |||||||
\(182\) | 14.6969 | + | 12.7279i | 1.08941 | + | 0.943456i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −16.0000 | −1.17954 | ||||||||
\(185\) | −1.22474 | − | 2.12132i | −0.0900450 | − | 0.155963i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.00000 | − | 3.46410i | −0.438763 | − | 0.253320i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.00000 | −0.435286 | ||||||||
\(191\) | 1.22474 | + | 0.707107i | 0.0886194 | + | 0.0511645i | 0.543655 | − | 0.839309i | \(-0.317040\pi\) |
−0.455035 | + | 0.890473i | \(0.650373\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.50000 | − | 9.52628i | −0.395899 | − | 0.685717i | 0.597317 | − | 0.802005i | \(-0.296234\pi\) |
−0.993215 | + | 0.116289i | \(0.962900\pi\) | |||||||
\(194\) | −14.6969 | −1.05518 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 19.7990i | 1.41062i | 0.708899 | + | 0.705310i | \(0.249192\pi\) | ||||
−0.708899 | + | 0.705310i | \(0.750808\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.0000 | − | 6.92820i | −0.850657 | − | 0.491127i | 0.0102152 | − | 0.999948i | \(-0.496748\pi\) |
−0.860873 | + | 0.508821i | \(0.830082\pi\) | |||||||
\(200\) | − | 2.82843i | − | 0.200000i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 21.0000 | + | 12.1244i | 1.47755 | + | 0.853067i | ||||
\(203\) | 4.89898 | − | 5.65685i | 0.343841 | − | 0.397033i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.00000 | − | 15.5885i | 0.628587 | − | 1.08875i | ||||
\(206\) | 6.12372 | − | 10.6066i | 0.426660 | − | 0.738997i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 18.0000 | − | 10.3923i | 1.24808 | − | 0.720577i | ||||
\(209\) | −1.22474 | − | 2.12132i | −0.0847174 | − | 0.146735i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.0000 | − | 19.0526i | 0.757271 | − | 1.31163i | −0.186966 | − | 0.982366i | \(-0.559865\pi\) |
0.944237 | − | 0.329266i | \(-0.106801\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.00000 | 0.273434 | ||||||||
\(215\) | −1.22474 | − | 2.12132i | −0.0835269 | − | 0.144673i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.00000 | + | 3.46410i | −0.203653 | + | 0.235159i | ||||
\(218\) | 1.22474 | − | 0.707107i | 0.0829502 | − | 0.0478913i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 22.0454 | − | 12.7279i | 1.48293 | − | 0.856173i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 18.0000 | − | 10.3923i | 1.20537 | − | 0.695920i | 0.243625 | − | 0.969870i | \(-0.421663\pi\) |
0.961744 | + | 0.273949i | \(0.0883300\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.00000 | + | 1.73205i | 0.0665190 | + | 0.115214i | ||||
\(227\) | −26.9444 | −1.78836 | −0.894181 | − | 0.447706i | \(-0.852241\pi\) | ||||
−0.894181 | + | 0.447706i | \(0.852241\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 22.5167i | 1.48794i | 0.668211 | + | 0.743971i | \(0.267060\pi\) | ||||
−0.668211 | + | 0.743971i | \(0.732940\pi\) | |||||||
\(230\) | −9.79796 | + | 16.9706i | −0.646058 | + | 1.11901i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.00000 | − | 6.92820i | −0.262613 | − | 0.454859i | ||||
\(233\) | −8.57321 | + | 4.94975i | −0.561650 | + | 0.324269i | −0.753807 | − | 0.657095i | \(-0.771785\pi\) |
0.192158 | + | 0.981364i | \(0.438452\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 15.0000 | − | 25.9808i | 0.978492 | − | 1.69480i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 12.0000 | − | 13.8564i | 0.777844 | − | 0.898177i | ||||
\(239\) | 23.2702 | + | 13.4350i | 1.50522 | + | 0.869040i | 0.999982 | + | 0.00606055i | \(0.00192914\pi\) |
0.505239 | + | 0.862979i | \(0.331404\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.8564i | 0.892570i | 0.894891 | + | 0.446285i | \(0.147253\pi\) | ||||
−0.894891 | + | 0.446285i | \(0.852747\pi\) | |||||||
\(242\) | 11.0227 | + | 6.36396i | 0.708566 | + | 0.409091i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −13.4722 | + | 10.6066i | −0.860707 | + | 0.677631i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.00000 | 0.572656 | ||||||||
\(248\) | 2.44949 | + | 4.24264i | 0.155543 | + | 0.269408i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 12.0000 | + | 6.92820i | 0.758947 | + | 0.438178i | ||||
\(251\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.00000 | −0.502956 | ||||||||
\(254\) | 13.4722 | + | 7.77817i | 0.845321 | + | 0.488046i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2.44949 | −0.152795 | −0.0763975 | − | 0.997077i | \(-0.524342\pi\) | ||||
−0.0763975 | + | 0.997077i | \(0.524342\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.00000 | + | 1.73205i | 0.124274 | + | 0.107624i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.00000 | − | 1.73205i | −0.185341 | − | 0.107006i | ||||
\(263\) | − | 14.1421i | − | 0.872041i | −0.899937 | − | 0.436021i | \(-0.856387\pi\) | ||
0.899937 | − | 0.436021i | \(-0.143613\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.00000 | + | 3.46410i | 0.368577 | + | 0.212798i | ||||
\(266\) | 6.12372 | − | 2.12132i | 0.375470 | − | 0.130066i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −8.57321 | + | 14.8492i | −0.522718 | + | 0.905374i | 0.476932 | + | 0.878940i | \(0.341749\pi\) |
−0.999651 | + | 0.0264343i | \(0.991585\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.0000 | + | 6.92820i | −0.728948 | + | 0.420858i | −0.818037 | − | 0.575165i | \(-0.804938\pi\) |
0.0890891 | + | 0.996024i | \(0.471604\pi\) | |||||||
\(272\) | −9.79796 | − | 16.9706i | −0.594089 | − | 1.02899i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.00000 | + | 13.8564i | −0.483298 | + | 0.837096i | ||||
\(275\) | − | 1.41421i | − | 0.0852803i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 23.0000 | 1.38194 | 0.690968 | − | 0.722885i | \(-0.257185\pi\) | ||||
0.690968 | + | 0.722885i | \(0.257185\pi\) | |||||||
\(278\) | 3.67423 | + | 6.36396i | 0.220366 | + | 0.381685i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.00000 | + | 17.3205i | 0.358569 | + | 1.03510i | ||||
\(281\) | −19.5959 | + | 11.3137i | −1.16899 | + | 0.674919i | −0.953443 | − | 0.301573i | \(-0.902488\pi\) |
−0.215551 | + | 0.976492i | \(0.569155\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.50000 | + | 0.866025i | −0.0891657 | + | 0.0514799i | −0.543920 | − | 0.839137i | \(-0.683060\pi\) |
0.454754 | + | 0.890617i | \(0.349727\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.00000 | − | 5.19615i | 0.532181 | − | 0.307255i | ||||
\(287\) | −3.67423 | + | 19.0919i | −0.216883 | + | 1.12696i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.50000 | − | 6.06218i | −0.205882 | − | 0.356599i | ||||
\(290\) | −9.79796 | −0.575356 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 7.34847 | − | 12.7279i | 0.429302 | − | 0.743573i | −0.567509 | − | 0.823367i | \(-0.692093\pi\) |
0.996811 | + | 0.0797939i | \(0.0254262\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.00000 | − | 10.3923i | −0.349334 | − | 0.605063i | ||||
\(296\) | 2.44949 | − | 1.41421i | 0.142374 | − | 0.0821995i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 4.00000 | − | 6.92820i | 0.231714 | − | 0.401340i | ||||
\(299\) | 14.6969 | − | 25.4558i | 0.849946 | − | 1.47215i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.00000 | + | 1.73205i | 0.115278 | + | 0.0998337i | ||||
\(302\) | −26.9444 | − | 15.5563i | −1.55048 | − | 0.895167i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | − | 6.92820i | − | 0.397360i | ||||||
\(305\) | −7.34847 | − | 4.24264i | −0.420772 | − | 0.242933i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 15.5885i | − | 0.889680i | −0.895610 | − | 0.444840i | \(-0.853260\pi\) | ||
0.895610 | − | 0.444840i | \(-0.146740\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 6.00000 | 0.340777 | ||||||||
\(311\) | −8.57321 | − | 14.8492i | −0.486142 | − | 0.842023i | 0.513731 | − | 0.857951i | \(-0.328263\pi\) |
−0.999873 | + | 0.0159282i | \(0.994930\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.5000 | − | 6.06218i | −0.593495 | − | 0.342655i | 0.172983 | − | 0.984925i | \(-0.444659\pi\) |
−0.766478 | + | 0.642270i | \(0.777993\pi\) | |||||||
\(314\) | −24.4949 | −1.38233 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 12.2474 | + | 7.07107i | 0.687885 | + | 0.397151i | 0.802819 | − | 0.596222i | \(-0.203332\pi\) |
−0.114934 | + | 0.993373i | \(0.536666\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.00000 | − | 3.46410i | −0.111979 | − | 0.193952i | ||||
\(320\) | 19.5959 | 1.09545 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.00000 | − | 20.7846i | 0.222911 | − | 1.15828i | ||||
\(323\) | − | 8.48528i | − | 0.472134i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.50000 | + | 2.59808i | 0.249615 | + | 0.144115i | ||||
\(326\) | 14.1421i | 0.783260i | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 18.0000 | + | 10.3923i | 0.993884 | + | 0.573819i | ||||
\(329\) | −6.12372 | + | 31.8198i | −0.337612 | + | 1.75428i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.5000 | − | 26.8468i | 0.851957 | − | 1.47563i | −0.0274825 | − | 0.999622i | \(-0.508749\pi\) |
0.879440 | − | 0.476011i | \(-0.157918\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.00000 | + | 5.19615i | −0.492458 | + | 0.284321i | ||||
\(335\) | 13.4722 | + | 23.3345i | 0.736065 | + | 1.27490i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.5000 | + | 19.9186i | −0.626445 | + | 1.08503i | 0.361815 | + | 0.932250i | \(0.382157\pi\) |
−0.988260 | + | 0.152784i | \(0.951176\pi\) | |||||||
\(338\) | 19.7990i | 1.07692i | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.22474 | + | 2.12132i | 0.0663237 | + | 0.114876i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | − | 15.5885i | 0.539949 | − | 0.841698i | ||||
\(344\) | 2.44949 | − | 1.41421i | 0.132068 | − | 0.0762493i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 12.0000 | − | 6.92820i | 0.645124 | − | 0.372463i | ||||
\(347\) | −26.9444 | + | 15.5563i | −1.44645 | + | 0.835109i | −0.998268 | − | 0.0588334i | \(-0.981262\pi\) |
−0.448183 | + | 0.893942i | \(0.647929\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.00000 | + | 5.19615i | −0.481759 | + | 0.278144i | −0.721149 | − | 0.692780i | \(-0.756386\pi\) |
0.239390 | + | 0.970923i | \(0.423052\pi\) | |||||||
\(350\) | 3.67423 | + | 0.707107i | 0.196396 | + | 0.0377964i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 17.1464 | 0.912612 | 0.456306 | − | 0.889823i | \(-0.349172\pi\) | ||||
0.456306 | + | 0.889823i | \(0.349172\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 17.3205i | − | 0.919277i | ||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 7.00000 | + | 12.1244i | 0.369961 | + | 0.640792i | ||||
\(359\) | 24.4949 | − | 14.1421i | 1.29279 | − | 0.746393i | 0.313643 | − | 0.949541i | \(-0.398450\pi\) |
0.979148 | + | 0.203148i | \(0.0651171\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.00000 | + | 13.8564i | −0.421053 | + | 0.729285i | ||||
\(362\) | −11.0227 | + | 19.0919i | −0.579340 | + | 1.00345i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.67423 | − | 2.12132i | −0.192318 | − | 0.111035i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 1.73205i | − | 0.0904123i | −0.998978 | − | 0.0452062i | \(-0.985606\pi\) | ||
0.998978 | − | 0.0452062i | \(-0.0143945\pi\) | |||||||
\(368\) | −19.5959 | − | 11.3137i | −1.02151 | − | 0.589768i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 3.46410i | − | 0.180090i | ||||||
\(371\) | −7.34847 | − | 1.41421i | −0.381514 | − | 0.0734223i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 29.0000 | 1.50156 | 0.750782 | − | 0.660551i | \(-0.229677\pi\) | ||||
0.750782 | + | 0.660551i | \(0.229677\pi\) | |||||||
\(374\) | −4.89898 | − | 8.48528i | −0.253320 | − | 0.438763i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 30.0000 | + | 17.3205i | 1.54713 | + | 0.893237i | ||||
\(377\) | 14.6969 | 0.756931 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.00000 | −0.359566 | −0.179783 | − | 0.983706i | \(-0.557540\pi\) | ||||
−0.179783 | + | 0.983706i | \(0.557540\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.00000 | + | 1.73205i | 0.0511645 | + | 0.0886194i | ||||
\(383\) | 19.5959 | 1.00130 | 0.500652 | − | 0.865648i | \(-0.333094\pi\) | ||||
0.500652 | + | 0.865648i | \(0.333094\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.00000 | + | 8.66025i | 0.152894 | + | 0.441367i | ||||
\(386\) | − | 15.5563i | − | 0.791797i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − | 26.8701i | − | 1.36237i | −0.732113 | − | 0.681183i | \(-0.761466\pi\) | ||
0.732113 | − | 0.681183i | \(-0.238534\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −24.0000 | − | 13.8564i | −1.21373 | − | 0.700749i | ||||
\(392\) | −12.2474 | − | 15.5563i | −0.618590 | − | 0.785714i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −14.0000 | + | 24.2487i | −0.705310 | + | 1.22163i | ||||
\(395\) | 6.12372 | − | 10.6066i | 0.308118 | − | 0.533676i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.50000 | − | 0.866025i | 0.0752828 | − | 0.0434646i | −0.461886 | − | 0.886939i | \(-0.652827\pi\) |
0.537169 | + | 0.843475i | \(0.319494\pi\) | |||||||
\(398\) | −9.79796 | − | 16.9706i | −0.491127 | − | 0.850657i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.00000 | − | 3.46410i | 0.100000 | − | 0.173205i | ||||
\(401\) | 19.7990i | 0.988714i | 0.869259 | + | 0.494357i | \(0.164597\pi\) | ||||
−0.869259 | + | 0.494357i | \(0.835403\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −9.00000 | −0.448322 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 10.0000 | − | 3.46410i | 0.496292 | − | 0.171920i | ||||
\(407\) | 1.22474 | − | 0.707107i | 0.0607083 | − | 0.0350500i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −28.5000 | + | 16.4545i | −1.40923 | + | 0.813622i | −0.995314 | − | 0.0966915i | \(-0.969174\pi\) |
−0.413920 | + | 0.910313i | \(0.635841\pi\) | |||||||
\(410\) | 22.0454 | − | 12.7279i | 1.08875 | − | 0.628587i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 9.79796 | + | 8.48528i | 0.482126 | + | 0.417533i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.00000 | − | 15.5885i | −0.441793 | − | 0.765207i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 3.46410i | − | 0.169435i | ||||||
\(419\) | 18.3712 | − | 31.8198i | 0.897491 | − | 1.55450i | 0.0667989 | − | 0.997766i | \(-0.478721\pi\) |
0.830692 | − | 0.556733i | \(-0.187945\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.500000 | + | 0.866025i | 0.0243685 | + | 0.0422075i | 0.877952 | − | 0.478748i | \(-0.158909\pi\) |
−0.853584 | + | 0.520955i | \(0.825576\pi\) | |||||||
\(422\) | 26.9444 | − | 15.5563i | 1.31163 | − | 0.757271i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.00000 | + | 6.92820i | −0.194257 | + | 0.336463i | ||||
\(425\) | 2.44949 | − | 4.24264i | 0.118818 | − | 0.205798i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.00000 | + | 1.73205i | 0.435541 | + | 0.0838198i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | − | 3.46410i | − | 0.167054i | ||||||
\(431\) | −13.4722 | − | 7.77817i | −0.648933 | − | 0.374661i | 0.139114 | − | 0.990276i | \(-0.455574\pi\) |
−0.788047 | + | 0.615615i | \(0.788908\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 15.5885i | 0.749133i | 0.927200 | + | 0.374567i | \(0.122209\pi\) | ||||
−0.927200 | + | 0.374567i | \(0.877791\pi\) | |||||||
\(434\) | −6.12372 | + | 2.12132i | −0.293948 | + | 0.101827i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −4.89898 | − | 8.48528i | −0.234350 | − | 0.405906i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −24.0000 | − | 13.8564i | −1.14546 | − | 0.661330i | −0.197681 | − | 0.980266i | \(-0.563341\pi\) |
−0.947776 | + | 0.318936i | \(0.896674\pi\) | |||||||
\(440\) | 9.79796 | 0.467099 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 36.0000 | 1.71235 | ||||||||
\(443\) | 34.2929 | + | 19.7990i | 1.62930 | + | 0.940678i | 0.984301 | + | 0.176497i | \(0.0564767\pi\) |
0.645002 | + | 0.764181i | \(0.276857\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.00000 | + | 10.3923i | 0.284427 | + | 0.492642i | ||||
\(446\) | 29.3939 | 1.39184 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −20.0000 | + | 6.92820i | −0.944911 | + | 0.327327i | ||||
\(449\) | 7.07107i | 0.333704i | 0.985982 | + | 0.166852i | \(0.0533603\pi\) | ||||
−0.985982 | + | 0.166852i | \(0.946640\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.00000 | + | 5.19615i | 0.423793 | + | 0.244677i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −33.0000 | − | 19.0526i | −1.54877 | − | 0.894181i | ||||
\(455\) | −33.0681 | − | 6.36396i | −1.55026 | − | 0.298347i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.50000 | + | 4.33013i | −0.116945 | + | 0.202555i | −0.918556 | − | 0.395292i | \(-0.870643\pi\) |
0.801611 | + | 0.597847i | \(0.203977\pi\) | |||||||
\(458\) | −15.9217 | + | 27.5772i | −0.743971 | + | 1.28860i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −7.34847 | − | 12.7279i | −0.342252 | − | 0.592798i | 0.642598 | − | 0.766203i | \(-0.277856\pi\) |
−0.984851 | + | 0.173405i | \(0.944523\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.50000 | − | 11.2583i | 0.302081 | − | 0.523219i | −0.674526 | − | 0.738251i | \(-0.735652\pi\) |
0.976607 | + | 0.215032i | \(0.0689855\pi\) | |||||||
\(464\) | − | 11.3137i | − | 0.525226i | ||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −14.0000 | −0.648537 | ||||||||
\(467\) | −13.4722 | − | 23.3345i | −0.623419 | − | 1.07979i | −0.988844 | − | 0.148952i | \(-0.952410\pi\) |
0.365426 | − | 0.930841i | \(-0.380923\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −22.0000 | − | 19.0526i | −1.01587 | − | 0.879765i | ||||
\(470\) | 36.7423 | − | 21.2132i | 1.69480 | − | 0.978492i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 12.0000 | − | 6.92820i | 0.552345 | − | 0.318896i | ||||
\(473\) | 1.22474 | − | 0.707107i | 0.0563138 | − | 0.0325128i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.50000 | − | 0.866025i | 0.0688247 | − | 0.0397360i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 19.0000 | + | 32.9090i | 0.869040 | + | 1.50522i | ||||
\(479\) | −4.89898 | −0.223840 | −0.111920 | − | 0.993717i | \(-0.535700\pi\) | ||||
−0.111920 | + | 0.993717i | \(0.535700\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.19615i | 0.236924i | ||||||||
\(482\) | −9.79796 | + | 16.9706i | −0.446285 | + | 0.772988i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 22.0454 | − | 12.7279i | 1.00103 | − | 0.577945i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.50000 | + | 14.7224i | −0.385172 | + | 0.667137i | −0.991793 | − | 0.127854i | \(-0.959191\pi\) |
0.606621 | + | 0.794991i | \(0.292524\pi\) | |||||||
\(488\) | 4.89898 | − | 8.48528i | 0.221766 | − | 0.384111i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −24.0000 | + | 3.46410i | −1.08421 | + | 0.156492i | ||||
\(491\) | −9.79796 | − | 5.65685i | −0.442176 | − | 0.255290i | 0.262344 | − | 0.964974i | \(-0.415504\pi\) |
−0.704520 | + | 0.709684i | \(0.748838\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 13.8564i | − | 0.624061i | ||||||
\(494\) | 11.0227 | + | 6.36396i | 0.495935 | + | 0.286328i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.92820i | 0.311086i | ||||||||
\(497\) | 6.12372 | + | 17.6777i | 0.274687 | + | 0.792952i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −25.0000 | −1.11915 | −0.559577 | − | 0.828778i | \(-0.689036\pi\) | ||||
−0.559577 | + | 0.828778i | \(0.689036\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −22.0454 | −0.982956 | −0.491478 | − | 0.870890i | \(-0.663543\pi\) | ||||
−0.491478 | + | 0.870890i | \(0.663543\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −42.0000 | −1.86898 | ||||||||
\(506\) | −9.79796 | − | 5.65685i | −0.435572 | − | 0.251478i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −2.44949 | −0.108572 | −0.0542859 | − | 0.998525i | \(-0.517288\pi\) | ||||
−0.0542859 | + | 0.998525i | \(0.517288\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.50000 | + | 0.866025i | 0.199068 | + | 0.0383107i | ||||
\(512\) | 22.6274i | 1.00000i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.00000 | − | 1.73205i | −0.132324 | − | 0.0763975i | ||||
\(515\) | 21.2132i | 0.934765i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.0000 | + | 8.66025i | 0.659699 | + | 0.380878i | ||||
\(518\) | 1.22474 | + | 3.53553i | 0.0538122 | + | 0.155342i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −18.0000 | + | 31.1769i | −0.789352 | + | 1.36720i | ||||
\(521\) | 2.44949 | − | 4.24264i | 0.107314 | − | 0.185873i | −0.807367 | − | 0.590049i | \(-0.799108\pi\) |
0.914681 | + | 0.404176i | \(0.132442\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.50000 | − | 0.866025i | 0.0655904 | − | 0.0378686i | −0.466846 | − | 0.884339i | \(-0.654610\pi\) |
0.532437 | + | 0.846470i | \(0.321276\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 10.0000 | − | 17.3205i | 0.436021 | − | 0.755210i | ||||
\(527\) | 8.48528i | 0.369625i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.00000 | −0.391304 | ||||||||
\(530\) | 4.89898 | + | 8.48528i | 0.212798 | + | 0.368577i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −33.0681 | + | 19.0919i | −1.43234 | + | 0.826961i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.00000 | + | 3.46410i | −0.259403 | + | 0.149766i | ||||
\(536\) | −26.9444 | + | 15.5563i | −1.16382 | + | 0.671932i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −21.0000 | + | 12.1244i | −0.905374 | + | 0.522718i | ||||
\(539\) | −6.12372 | − | 7.77817i | −0.263767 | − | 0.335030i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.50000 | − | 14.7224i | −0.365444 | − | 0.632967i | 0.623404 | − | 0.781900i | \(-0.285749\pi\) |
−0.988847 | + | 0.148933i | \(0.952416\pi\) | |||||||
\(542\) | −19.5959 | −0.841717 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −1.22474 | + | 2.12132i | −0.0524623 | + | 0.0908674i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.00000 | + | 8.66025i | 0.213785 | + | 0.370286i | 0.952896 | − | 0.303298i | \(-0.0980876\pi\) |
−0.739111 | + | 0.673583i | \(0.764754\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.00000 | − | 1.73205i | 0.0426401 | − | 0.0738549i | ||||
\(551\) | 2.44949 | − | 4.24264i | 0.104352 | − | 0.180743i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.50000 | + | 12.9904i | −0.106311 | + | 0.552407i | ||||
\(554\) | 28.1691 | + | 16.2635i | 1.19679 | + | 0.690968i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −13.4722 | − | 7.77817i | −0.570835 | − | 0.329572i | 0.186648 | − | 0.982427i | \(-0.440238\pi\) |
−0.757483 | + | 0.652855i | \(0.773571\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.19615i | 0.219774i | ||||||||
\(560\) | −4.89898 | + | 25.4558i | −0.207020 | + | 1.07571i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −32.0000 | −1.34984 | ||||||||
\(563\) | 13.4722 | + | 23.3345i | 0.567785 | + | 0.983433i | 0.996785 | + | 0.0801281i | \(0.0255329\pi\) |
−0.428999 | + | 0.903305i | \(0.641134\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.00000 | − | 1.73205i | −0.126211 | − | 0.0728679i | ||||
\(566\) | −2.44949 | −0.102960 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 20.0000 | 0.839181 | ||||||||
\(569\) | 1.22474 | + | 0.707107i | 0.0513440 | + | 0.0296435i | 0.525452 | − | 0.850823i | \(-0.323896\pi\) |
−0.474108 | + | 0.880467i | \(0.657229\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.50000 | − | 9.52628i | −0.230168 | − | 0.398662i | 0.727690 | − | 0.685907i | \(-0.240594\pi\) |
−0.957857 | + | 0.287244i | \(0.907261\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −18.0000 | + | 20.7846i | −0.751305 | + | 0.867533i | ||||
\(575\) | − | 5.65685i | − | 0.235907i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.50000 | + | 0.866025i | 0.0624458 | + | 0.0360531i | 0.530898 | − | 0.847436i | \(-0.321855\pi\) |
−0.468452 | + | 0.883489i | \(0.655188\pi\) | |||||||
\(578\) | − | 9.89949i | − | 0.411765i | ||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 14.6969 | + | 12.7279i | 0.609732 | + | 0.528043i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.00000 | + | 3.46410i | −0.0828315 | + | 0.143468i | ||||
\(584\) | 2.44949 | − | 4.24264i | 0.101361 | − | 0.175562i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.0000 | − | 10.3923i | 0.743573 | − | 0.429302i | ||||
\(587\) | −7.34847 | − | 12.7279i | −0.303304 | − | 0.525338i | 0.673578 | − | 0.739116i | \(-0.264756\pi\) |
−0.976882 | + | 0.213778i | \(0.931423\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.50000 | + | 2.59808i | −0.0618064 | + | 0.107052i | ||||
\(590\) | − | 16.9706i | − | 0.698667i | ||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.00000 | 0.164399 | ||||||||
\(593\) | 8.57321 | + | 14.8492i | 0.352060 | + | 0.609785i | 0.986610 | − | 0.163096i | \(-0.0521481\pi\) |
−0.634550 | + | 0.772881i | \(0.718815\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.00000 | + | 31.1769i | −0.245976 | + | 1.27813i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 36.0000 | − | 20.7846i | 1.47215 | − | 0.849946i | ||||
\(599\) | −4.89898 | + | 2.82843i | −0.200167 | + | 0.115566i | −0.596733 | − | 0.802440i | \(-0.703535\pi\) |
0.396566 | + | 0.918006i | \(0.370202\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −22.5000 | + | 12.9904i | −0.917794 | + | 0.529889i | −0.882931 | − | 0.469503i | \(-0.844433\pi\) |
−0.0348635 | + | 0.999392i | \(0.511100\pi\) | |||||||
\(602\) | 1.22474 | + | 3.53553i | 0.0499169 | + | 0.144098i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −22.0454 | −0.896273 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 39.8372i | − | 1.61694i | −0.588537 | − | 0.808470i | \(-0.700296\pi\) | ||
0.588537 | − | 0.808470i | \(-0.299704\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −6.00000 | − | 10.3923i | −0.242933 | − | 0.420772i | ||||
\(611\) | −55.1135 | + | 31.8198i | −2.22965 | + | 1.28729i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.00000 | + | 6.92820i | −0.161558 | + | 0.279827i | −0.935428 | − | 0.353518i | \(-0.884985\pi\) |
0.773869 | + | 0.633345i | \(0.218319\pi\) | |||||||
\(614\) | 11.0227 | − | 19.0919i | 0.444840 | − | 0.770486i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.0000 | + | 3.46410i | −0.402911 | + | 0.139573i | ||||
\(617\) | −20.8207 | − | 12.0208i | −0.838208 | − | 0.483940i | 0.0184465 | − | 0.999830i | \(-0.494128\pi\) |
−0.856655 | + | 0.515890i | \(0.827461\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 29.4449i | 1.18349i | 0.806126 | + | 0.591744i | \(0.201561\pi\) | ||||
−0.806126 | + | 0.591744i | \(0.798439\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 24.2487i | − | 0.972285i | ||||||
\(623\) | −9.79796 | − | 8.48528i | −0.392547 | − | 0.339956i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −29.0000 | −1.16000 | ||||||||
\(626\) | −8.57321 | − | 14.8492i | −0.342655 | − | 0.593495i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4.89898 | 0.195335 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 38.0000 | 1.51276 | 0.756378 | − | 0.654135i | \(-0.226967\pi\) | ||||
0.756378 | + | 0.654135i | \(0.226967\pi\) | |||||||
\(632\) | 12.2474 | + | 7.07107i | 0.487177 | + | 0.281272i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 10.0000 | + | 17.3205i | 0.397151 | + | 0.687885i | ||||
\(635\) | −26.9444 | −1.06926 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 36.0000 | − | 5.19615i | 1.42637 | − | 0.205879i | ||||
\(638\) | − | 5.65685i | − | 0.223957i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 24.0000 | + | 13.8564i | 0.948683 | + | 0.547723i | ||||
\(641\) | − | 14.1421i | − | 0.558581i | −0.960207 | − | 0.279290i | \(-0.909901\pi\) | ||
0.960207 | − | 0.279290i | \(-0.0900992\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.5000 | − | 12.9904i | −0.887313 | − | 0.512291i | −0.0142506 | − | 0.999898i | \(-0.504536\pi\) |
−0.873063 | + | 0.487608i | \(0.837870\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.00000 | − | 10.3923i | 0.236067 | − | 0.408880i | ||||
\(647\) | −8.57321 | + | 14.8492i | −0.337048 | + | 0.583784i | −0.983876 | − | 0.178852i | \(-0.942762\pi\) |
0.646828 | + | 0.762636i | \(0.276095\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.00000 | − | 3.46410i | 0.235521 | − | 0.135978i | ||||
\(650\) | 3.67423 | + | 6.36396i | 0.144115 | + | 0.249615i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.07107i | 0.276712i | 0.990383 | + | 0.138356i | \(0.0441819\pi\) | ||||
−0.990383 | + | 0.138356i | \(0.955818\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.00000 | 0.234439 | ||||||||
\(656\) | 14.6969 | + | 25.4558i | 0.573819 | + | 0.993884i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −30.0000 | + | 34.6410i | −1.16952 | + | 1.35045i | ||||
\(659\) | −19.5959 | + | 11.3137i | −0.763349 | + | 0.440720i | −0.830497 | − | 0.557024i | \(-0.811943\pi\) |
0.0671481 | + | 0.997743i | \(0.478610\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 25.5000 | − | 14.7224i | 0.991835 | − | 0.572636i | 0.0860127 | − | 0.996294i | \(-0.472587\pi\) |
0.905822 | + | 0.423658i | \(0.139254\pi\) | |||||||
\(662\) | 37.9671 | − | 21.9203i | 1.47563 | − | 0.851957i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 18.0000 | − | 10.3923i | 0.698535 | − | 0.403300i | ||||
\(665\) | −7.34847 | + | 8.48528i | −0.284961 | + | 0.329045i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.00000 | − | 13.8564i | −0.309761 | − | 0.536522i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 38.1051i | 1.47213i | ||||||||
\(671\) | 2.44949 | − | 4.24264i | 0.0945615 | − | 0.163785i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.5000 | − | 30.3109i | −0.674575 | − | 1.16840i | −0.976593 | − | 0.215096i | \(-0.930993\pi\) |
0.302017 | − | 0.953302i | \(-0.402340\pi\) | |||||||
\(674\) | −28.1691 | + | 16.2635i | −1.08503 | + | 0.626445i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 4.89898 | − | 8.48528i | 0.188283 | − | 0.326116i | −0.756395 | − | 0.654115i | \(-0.773041\pi\) |
0.944678 | + | 0.327999i | \(0.106374\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −18.0000 | + | 20.7846i | −0.690777 | + | 0.797640i | ||||
\(680\) | 29.3939 | + | 16.9706i | 1.12720 | + | 0.650791i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.46410i | 0.132647i | ||||||||
\(683\) | 41.6413 | + | 24.0416i | 1.59336 | + | 0.919927i | 0.992725 | + | 0.120405i | \(0.0384193\pi\) |
0.600636 | + | 0.799522i | \(0.294914\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 27.7128i | − | 1.05885i | ||||||
\(686\) | 23.2702 | − | 12.0208i | 0.888459 | − | 0.458957i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.00000 | 0.152499 | ||||||||
\(689\) | −7.34847 | − | 12.7279i | −0.279954 | − | 0.484895i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −37.5000 | − | 21.6506i | −1.42657 | − | 0.823629i | −0.429719 | − | 0.902963i | \(-0.641387\pi\) |
−0.996848 | + | 0.0793336i | \(0.974721\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −44.0000 | −1.67022 | ||||||||
\(695\) | −11.0227 | − | 6.36396i | −0.418115 | − | 0.241399i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.0000 | + | 31.1769i | 0.681799 | + | 1.18091i | ||||
\(698\) | −14.6969 | −0.556287 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 5.65685i | − | 0.213656i | −0.994277 | − | 0.106828i | \(-0.965931\pi\) | ||
0.994277 | − | 0.106828i | \(-0.0340695\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.50000 | + | 0.866025i | 0.0565736 | + | 0.0326628i | ||||
\(704\) | 11.3137i | 0.426401i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 21.0000 | + | 12.1244i | 0.790345 | + | 0.456306i | ||||
\(707\) | 42.8661 | − | 14.8492i | 1.61214 | − | 0.558463i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 20.0000 | − | 34.6410i | 0.751116 | − | 1.30097i | −0.196167 | − | 0.980571i | \(-0.562849\pi\) |
0.947282 | − | 0.320400i | \(-0.103817\pi\) | |||||||
\(710\) | 12.2474 | − | 21.2132i | 0.459639 | − | 0.796117i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −12.0000 | + | 6.92820i | −0.449719 | + | 0.259645i | ||||
\(713\) | 4.89898 | + | 8.48528i | 0.183468 | + | 0.317776i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.00000 | + | 15.5885i | −0.336581 | + | 0.582975i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 40.0000 | 1.49279 | ||||||||
\(719\) | −13.4722 | − | 23.3345i | −0.502428 | − | 0.870231i | −0.999996 | − | 0.00280593i | \(-0.999107\pi\) |
0.497568 | − | 0.867425i | \(-0.334226\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.50000 | − | 21.6506i | −0.279315 | − | 0.806312i | ||||
\(722\) | −19.5959 | + | 11.3137i | −0.729285 | + | 0.421053i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.44949 | − | 1.41421i | 0.0909718 | − | 0.0525226i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −22.5000 | + | 12.9904i | −0.834479 | + | 0.481787i | −0.855384 | − | 0.517995i | \(-0.826679\pi\) |
0.0209049 | + | 0.999781i | \(0.493345\pi\) | |||||||
\(728\) | 7.34847 | − | 38.1838i | 0.272352 | − | 1.41518i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.00000 | − | 5.19615i | −0.111035 | − | 0.192318i | ||||
\(731\) | 4.89898 | 0.181195 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 39.8372i | − | 1.47142i | −0.677297 | − | 0.735710i | \(-0.736849\pi\) | ||
0.677297 | − | 0.735710i | \(-0.263151\pi\) | |||||||
\(734\) | 1.22474 | − | 2.12132i | 0.0452062 | − | 0.0782994i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −13.4722 | + | 7.77817i | −0.496255 | + | 0.286513i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.500000 | − | 0.866025i | 0.0183928 | − | 0.0318573i | −0.856683 | − | 0.515844i | \(-0.827478\pi\) |
0.875075 | + | 0.483987i | \(0.160812\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −8.00000 | − | 6.92820i | −0.293689 | − | 0.254342i | ||||
\(743\) | −20.8207 | − | 12.0208i | −0.763836 | − | 0.441001i | 0.0668353 | − | 0.997764i | \(-0.478710\pi\) |
−0.830671 | + | 0.556763i | \(0.812043\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 13.8564i | 0.507659i | ||||||||
\(746\) | 35.5176 | + | 20.5061i | 1.30039 | + | 0.750782i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.89898 | − | 5.65685i | 0.179005 | − | 0.206697i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 29.0000 | 1.05823 | 0.529113 | − | 0.848552i | \(-0.322525\pi\) | ||||
0.529113 | + | 0.848552i | \(0.322525\pi\) | |||||||
\(752\) | 24.4949 | + | 42.4264i | 0.893237 | + | 1.54713i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 18.0000 | + | 10.3923i | 0.655521 | + | 0.378465i | ||||
\(755\) | 53.8888 | 1.96121 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.00000 | 0.0726912 | 0.0363456 | − | 0.999339i | \(-0.488428\pi\) | ||||
0.0363456 | + | 0.999339i | \(0.488428\pi\) | |||||||
\(758\) | −8.57321 | − | 4.94975i | −0.311393 | − | 0.179783i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 6.00000 | + | 10.3923i | 0.217643 | + | 0.376969i | ||||
\(761\) | −24.4949 | −0.887939 | −0.443970 | − | 0.896042i | \(-0.646430\pi\) | ||||
−0.443970 | + | 0.896042i | \(0.646430\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.500000 | − | 2.59808i | 0.0181012 | − | 0.0940567i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 24.0000 | + | 13.8564i | 0.867155 | + | 0.500652i | ||||
\(767\) | 25.4558i | 0.919157i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.5000 | − | 12.9904i | −0.811371 | − | 0.468445i | 0.0360609 | − | 0.999350i | \(-0.488519\pi\) |
−0.847432 | + | 0.530904i | \(0.821852\pi\) | |||||||
\(770\) | −2.44949 | + | 12.7279i | −0.0882735 | + | 0.458682i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 13.4722 | − | 23.3345i | 0.484561 | − | 0.839284i | −0.515282 | − | 0.857021i | \(-0.672313\pi\) |
0.999843 | + | 0.0177365i | \(0.00564599\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.50000 | + | 0.866025i | −0.0538816 | + | 0.0311086i | ||||
\(776\) | 14.6969 | + | 25.4558i | 0.527589 | + | 0.913812i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 19.0000 | − | 32.9090i | 0.681183 | − | 1.17984i | ||||
\(779\) | 12.7279i | 0.456025i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.0000 | 0.357828 | ||||||||
\(782\) | −19.5959 | − | 33.9411i | −0.700749 | − | 1.21373i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.00000 | − | 27.7128i | −0.142857 | − | 0.989743i | ||||
\(785\) | 36.7423 | − | 21.2132i | 1.31139 | − | 0.757132i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 39.0000 | − | 22.5167i | 1.39020 | − | 0.802632i | 0.396863 | − | 0.917878i | \(-0.370099\pi\) |
0.993337 | + | 0.115246i | \(0.0367655\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 15.0000 | − | 8.66025i | 0.533676 | − | 0.308118i | ||||
\(791\) | 3.67423 | + | 0.707107i | 0.130641 | + | 0.0251418i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.00000 | + | 15.5885i | 0.319599 | + | 0.553562i | ||||
\(794\) | 2.44949 | 0.0869291 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −14.6969 | + | 25.4558i | −0.520592 | + | 0.901692i | 0.479121 | + | 0.877749i | \(0.340955\pi\) |
−0.999713 | + | 0.0239434i | \(0.992378\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 30.0000 | + | 51.9615i | 1.06132 | + | 1.83827i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −14.0000 | + | 24.2487i | −0.494357 | + | 0.856252i | ||||
\(803\) | 1.22474 | − | 2.12132i | 0.0432203 | − | 0.0748598i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.0000 | + | 34.6410i | 0.422944 | + | 1.22094i | ||||
\(806\) | −11.0227 | − | 6.36396i | −0.388258 | − | 0.224161i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | − | 48.4974i | − | 1.70613i | ||||||
\(809\) | −35.5176 | − | 20.5061i | −1.24873 | − | 0.720956i | −0.277876 | − | 0.960617i | \(-0.589630\pi\) |
−0.970857 | + | 0.239661i | \(0.922964\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 31.1769i | − | 1.09477i | −0.836881 | − | 0.547385i | \(-0.815623\pi\) | ||
0.836881 | − | 0.547385i | \(-0.184377\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.00000 | 0.0701000 | ||||||||
\(815\) | −12.2474 | − | 21.2132i | −0.429009 | − | 0.743066i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.50000 | + | 0.866025i | 0.0524784 | + | 0.0302984i | ||||
\(818\) | −46.5403 | −1.62724 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −20.8207 | − | 12.0208i | −0.726646 | − | 0.419529i | 0.0905478 | − | 0.995892i | \(-0.471138\pi\) |
−0.817194 | + | 0.576363i | \(0.804472\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.0000 | + | 29.4449i | 0.592583 | + | 1.02638i | 0.993883 | + | 0.110437i | \(0.0352250\pi\) |
−0.401300 | + | 0.915947i | \(0.631442\pi\) | |||||||
\(824\) | −24.4949 | −0.853320 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.00000 | + | 17.3205i | 0.208767 | + | 0.602658i | ||||
\(827\) | 7.07107i | 0.245885i | 0.992414 | + | 0.122943i | \(0.0392331\pi\) | ||||
−0.992414 | + | 0.122943i | \(0.960767\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.50000 | + | 0.866025i | 0.0520972 | + | 0.0300783i | 0.525822 | − | 0.850594i | \(-0.323758\pi\) |
−0.473725 | + | 0.880673i | \(0.657091\pi\) | |||||||
\(830\) | − | 25.4558i | − | 0.883585i | ||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −36.0000 | − | 20.7846i | −1.24808 | − | 0.720577i | ||||
\(833\) | −4.89898 | − | 33.9411i | −0.169740 | − | 1.17599i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 9.00000 | − | 15.5885i | 0.311458 | − | 0.539461i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 45.0000 | − | 25.9808i | 1.55450 | − | 0.897491i | ||||
\(839\) | −7.34847 | − | 12.7279i | −0.253697 | − | 0.439417i | 0.710844 | − | 0.703350i | \(-0.248313\pi\) |
−0.964541 | + | 0.263933i | \(0.914980\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.5000 | + | 18.1865i | −0.362069 | + | 0.627122i | ||||
\(842\) | 1.41421i | 0.0487370i | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −17.1464 | − | 29.6985i | −0.589855 | − | 1.02166i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 22.5000 | − | 7.79423i | 0.773109 | − | 0.267813i | ||||
\(848\) | −9.79796 | + | 5.65685i | −0.336463 | + | 0.194257i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 6.00000 | − | 3.46410i | 0.205798 | − | 0.118818i | ||||
\(851\) | 4.89898 | − | 2.82843i | 0.167935 | − | 0.0969572i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 31.5000 | − | 18.1865i | 1.07854 | − | 0.622695i | 0.148037 | − | 0.988982i | \(-0.452704\pi\) |
0.930502 | + | 0.366287i | \(0.119371\pi\) | |||||||
\(854\) | 9.79796 | + | 8.48528i | 0.335279 | + | 0.290360i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.00000 | − | 6.92820i | −0.136717 | − | 0.236801i | ||||
\(857\) | 39.1918 | 1.33877 | 0.669384 | − | 0.742917i | \(-0.266558\pi\) | ||||
0.669384 | + | 0.742917i | \(0.266558\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 38.1051i | 1.30013i | 0.759879 | + | 0.650065i | \(0.225258\pi\) | ||||
−0.759879 | + | 0.650065i | \(0.774742\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −11.0000 | − | 19.0526i | −0.374661 | − | 0.648933i | ||||
\(863\) | 35.5176 | − | 20.5061i | 1.20903 | − | 0.698036i | 0.246485 | − | 0.969147i | \(-0.420724\pi\) |
0.962548 | + | 0.271111i | \(0.0873910\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −12.0000 | + | 20.7846i | −0.408012 | + | 0.706698i | ||||
\(866\) | −11.0227 | + | 19.0919i | −0.374567 | + | 0.648769i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.12372 | + | 3.53553i | 0.207733 | + | 0.119935i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 57.1577i | − | 1.93671i | ||||||
\(872\) | −2.44949 | − | 1.41421i | −0.0829502 | − | 0.0478913i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 13.8564i | − | 0.468700i | ||||||
\(875\) | 24.4949 | − | 8.48528i | 0.828079 | − | 0.286855i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 20.0000 | 0.675352 | 0.337676 | − | 0.941262i | \(-0.390359\pi\) | ||||
0.337676 | + | 0.941262i | \(0.390359\pi\) | |||||||
\(878\) | −19.5959 | − | 33.9411i | −0.661330 | − | 1.14546i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 12.0000 | + | 6.92820i | 0.404520 | + | 0.233550i | ||||
\(881\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.0000 | 0.370179 | 0.185090 | − | 0.982722i | \(-0.440742\pi\) | ||||
0.185090 | + | 0.982722i | \(0.440742\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 28.0000 | + | 48.4974i | 0.940678 | + | 1.62930i | ||||
\(887\) | 41.6413 | 1.39818 | 0.699089 | − | 0.715034i | \(-0.253589\pi\) | ||||
0.699089 | + | 0.715034i | \(0.253589\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 27.5000 | − | 9.52628i | 0.922320 | − | 0.319501i | ||||
\(890\) | 16.9706i | 0.568855i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 21.2132i | 0.709873i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −21.0000 | − | 12.1244i | −0.701953 | − | 0.405273i | ||||
\(896\) | −29.3939 | − | 5.65685i | −0.981981 | − | 0.188982i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −5.00000 | + | 8.66025i | −0.166852 | + | 0.288996i | ||||
\(899\) | −2.44949 | + | 4.24264i | −0.0816951 | + | 0.141500i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −12.0000 | + | 6.92820i | −0.399778 | + | 0.230812i | ||||
\(902\) | 7.34847 | + | 12.7279i | 0.244677 | + | 0.423793i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.00000 | − | 3.46410i | 0.0665190 | − | 0.115214i | ||||
\(905\) | − | 38.1838i | − | 1.26927i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.00000 | 0.166022 | 0.0830111 | − | 0.996549i | \(-0.473546\pi\) | ||||
0.0830111 | + | 0.996549i | \(0.473546\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −36.0000 | − | 31.1769i | −1.19339 | − | 1.03350i | ||||
\(911\) | 46.5403 | − | 26.8701i | 1.54195 | − | 0.890245i | 0.543233 | − | 0.839582i | \(-0.317200\pi\) |
0.998716 | − | 0.0506629i | \(-0.0161334\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.00000 | − | 5.19615i | 0.297857 | − | 0.171968i | ||||
\(914\) | −6.12372 | + | 3.53553i | −0.202555 | + | 0.116945i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −6.12372 | + | 2.12132i | −0.202223 | + | 0.0700522i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −8.50000 | − | 14.7224i | −0.280389 | − | 0.485648i | 0.691091 | − | 0.722767i | \(-0.257130\pi\) |
−0.971481 | + | 0.237119i | \(0.923797\pi\) | |||||||
\(920\) | 39.1918 | 1.29212 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | − | 20.7846i | − | 0.684505i | ||||||
\(923\) | −18.3712 | + | 31.8198i | −0.604695 | + | 1.04736i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.500000 | + | 0.866025i | 0.0164399 | + | 0.0284747i | ||||
\(926\) | 15.9217 | − | 9.19239i | 0.523219 | − | 0.302081i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −28.1691 | + | 48.7904i | −0.924199 | + | 1.60076i | −0.131355 | + | 0.991335i | \(0.541933\pi\) |
−0.792844 | + | 0.609425i | \(0.791400\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.50000 | − | 11.2583i | 0.147482 | − | 0.368977i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 38.1051i | − | 1.24684i | ||||||
\(935\) | 14.6969 | + | 8.48528i | 0.480641 | + | 0.277498i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 46.7654i | 1.52776i | 0.645359 | + | 0.763879i | \(0.276708\pi\) | ||||
−0.645359 | + | 0.763879i | \(0.723292\pi\) | |||||||
\(938\) | −13.4722 | − | 38.8909i | −0.439883 | − | 1.26983i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 24.4949 | + | 42.4264i | 0.798511 | + | 1.38306i | 0.920586 | + | 0.390540i | \(0.127712\pi\) |
−0.122075 | + | 0.992521i | \(0.538955\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 36.0000 | + | 20.7846i | 1.17232 | + | 0.676840i | ||||
\(944\) | 19.5959 | 0.637793 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.00000 | 0.0650256 | ||||||||
\(947\) | −42.8661 | − | 24.7487i | −1.39296 | − | 0.804226i | −0.399318 | − | 0.916812i | \(-0.630753\pi\) |
−0.993642 | + | 0.112586i | \(0.964086\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.50000 | + | 7.79423i | 0.146076 | + | 0.253011i | ||||
\(950\) | 2.44949 | 0.0794719 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −36.0000 | − | 6.92820i | −1.16677 | − | 0.224544i | ||||
\(953\) | − | 5.65685i | − | 0.183243i | −0.995794 | − | 0.0916217i | \(-0.970795\pi\) | ||
0.995794 | − | 0.0916217i | \(-0.0292051\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.00000 | − | 1.73205i | −0.0970777 | − | 0.0560478i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.00000 | − | 3.46410i | −0.193851 | − | 0.111920i | ||||
\(959\) | 9.79796 | + | 28.2843i | 0.316393 | + | 0.913347i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −14.0000 | + | 24.2487i | −0.451613 | + | 0.782216i | ||||
\(962\) | −3.67423 | + | 6.36396i | −0.118462 | + | 0.205182i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 13.4722 | + | 23.3345i | 0.433685 | + | 0.751165i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.50000 | − | 11.2583i | 0.209026 | − | 0.362043i | −0.742382 | − | 0.669977i | \(-0.766304\pi\) |
0.951408 | + | 0.307933i | \(0.0996374\pi\) | |||||||
\(968\) | − | 25.4558i | − | 0.818182i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 36.0000 | 1.15589 | ||||||||
\(971\) | 19.5959 | + | 33.9411i | 0.628863 | + | 1.08922i | 0.987780 | + | 0.155853i | \(0.0498127\pi\) |
−0.358917 | + | 0.933369i | \(0.616854\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 13.5000 | + | 2.59808i | 0.432790 | + | 0.0832905i | ||||
\(974\) | −20.8207 | + | 12.0208i | −0.667137 | + | 0.385172i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 12.0000 | − | 6.92820i | 0.384111 | − | 0.221766i | ||||
\(977\) | 6.12372 | − | 3.53553i | 0.195915 | − | 0.113112i | −0.398833 | − | 0.917023i | \(-0.630585\pi\) |
0.594749 | + | 0.803912i | \(0.297252\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.00000 | + | 3.46410i | −0.191761 | + | 0.110713i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −8.00000 | − | 13.8564i | −0.255290 | − | 0.442176i | ||||
\(983\) | −4.89898 | −0.156253 | −0.0781266 | − | 0.996943i | \(-0.524894\pi\) | ||||
−0.0781266 | + | 0.996943i | \(0.524894\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 48.4974i | − | 1.54526i | ||||||
\(986\) | 9.79796 | − | 16.9706i | 0.312031 | − | 0.540453i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 4.89898 | − | 2.82843i | 0.155778 | − | 0.0899388i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.5000 | + | 30.3109i | −0.555906 | + | 0.962857i | 0.441927 | + | 0.897051i | \(0.354295\pi\) |
−0.997832 | + | 0.0658059i | \(0.979038\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −5.00000 | + | 25.9808i | −0.158590 | + | 0.824060i | ||||
\(995\) | 29.3939 | + | 16.9706i | 0.931849 | + | 0.538003i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 29.4449i | 0.932528i | 0.884646 | + | 0.466264i | \(0.154400\pi\) | ||||
−0.884646 | + | 0.466264i | \(0.845600\pi\) | |||||||
\(998\) | −30.6186 | − | 17.6777i | −0.969216 | − | 0.559577i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))