Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3840,2,Mod(1,3840)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3840, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("3840.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3840 = 2^{8} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3840.a (trivial) |
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: | yes |
Analytic conductor: | \(30.6625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(3\) |
Coefficient field: | 3.3.316.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - x^{2} - 4x + 2 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 120) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(0.470683\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3840.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 | ||||||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.941367 | −0.355803 | −0.177902 | − | 0.984048i | \(-0.556931\pi\) | ||||
−0.177902 | + | 0.984048i | \(0.556931\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.49828 | −1.35628 | −0.678141 | − | 0.734931i | \(-0.737214\pi\) | ||||
−0.678141 | + | 0.734931i | \(0.737214\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.55691 | −1.54121 | −0.770605 | − | 0.637313i | \(-0.780046\pi\) | ||||
−0.770605 | + | 0.637313i | \(0.780046\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 7.55691 | 1.83282 | 0.916410 | − | 0.400240i | \(-0.131073\pi\) | ||||
0.916410 | + | 0.400240i | \(0.131073\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.05863 | 0.242867 | 0.121434 | − | 0.992600i | \(-0.461251\pi\) | ||||
0.121434 | + | 0.992600i | \(0.461251\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.941367 | −0.205423 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.05863 | 0.220740 | 0.110370 | − | 0.993891i | \(-0.464796\pi\) | ||||
0.110370 | + | 0.993891i | \(0.464796\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.00000 | −0.371391 | −0.185695 | − | 0.982607i | \(-0.559454\pi\) | ||||
−0.185695 | + | 0.982607i | \(0.559454\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.55691 | 0.638841 | 0.319420 | − | 0.947613i | \(-0.396512\pi\) | ||||
0.319420 | + | 0.947613i | \(0.396512\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.49828 | −0.783050 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.941367 | 0.159120 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.43965 | 1.22307 | 0.611535 | − | 0.791217i | \(-0.290552\pi\) | ||||
0.611535 | + | 0.791217i | \(0.290552\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.55691 | −0.889818 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.88273 | 0.606381 | 0.303191 | − | 0.952930i | \(-0.401948\pi\) | ||||
0.303191 | + | 0.952930i | \(0.401948\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.88273 | 0.287114 | 0.143557 | − | 0.989642i | \(-0.454146\pi\) | ||||
0.143557 | + | 0.989642i | \(0.454146\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −10.0552 | −1.46670 | −0.733350 | − | 0.679851i | \(-0.762045\pi\) | ||||
−0.733350 | + | 0.679851i | \(0.762045\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.11383 | −0.873404 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.55691 | 1.05818 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.00000 | −0.274721 | −0.137361 | − | 0.990521i | \(-0.543862\pi\) | ||||
−0.137361 | + | 0.990521i | \(0.543862\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.49828 | 0.606548 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.05863 | 0.140219 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 8.49828 | 1.10638 | 0.553191 | − | 0.833054i | \(-0.313410\pi\) | ||||
0.553191 | + | 0.833054i | \(0.313410\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.99656 | 1.15189 | 0.575946 | − | 0.817488i | \(-0.304634\pi\) | ||||
0.575946 | + | 0.817488i | \(0.304634\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.941367 | −0.118601 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 5.55691 | 0.689250 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.00000 | −0.488678 | −0.244339 | − | 0.969690i | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.05863 | 0.127444 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.9966 | 1.54241 | 0.771204 | − | 0.636588i | \(-0.219655\pi\) | ||||
0.771204 | + | 0.636588i | \(0.219655\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.00000 | 0.702247 | 0.351123 | − | 0.936329i | \(-0.385800\pi\) | ||||
0.351123 | + | 0.936329i | \(0.385800\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.23453 | 0.482570 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.5569 | 1.30025 | 0.650127 | − | 0.759825i | \(-0.274716\pi\) | ||||
0.650127 | + | 0.759825i | \(0.274716\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.88273 | 0.645714 | 0.322857 | − | 0.946448i | \(-0.395357\pi\) | ||||
0.322857 | + | 0.946448i | \(0.395357\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.55691 | −0.819662 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.00000 | −0.214423 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.11727 | 0.436429 | 0.218215 | − | 0.975901i | \(-0.429977\pi\) | ||||
0.218215 | + | 0.975901i | \(0.429977\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.23109 | 0.548368 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 3.55691 | 0.368835 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.05863 | −0.108613 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 17.1138 | 1.73765 | 0.868823 | − | 0.495123i | \(-0.164877\pi\) | ||||
0.868823 | + | 0.495123i | \(0.164877\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.49828 | −0.452094 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.00000 | −0.199007 | −0.0995037 | − | 0.995037i | \(-0.531726\pi\) | ||||
−0.0995037 | + | 0.995037i | \(0.531726\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.1725 | −1.00232 | −0.501161 | − | 0.865354i | \(-0.667094\pi\) | ||||
−0.501161 | + | 0.865354i | \(0.667094\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.941367 | 0.0918680 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 17.2311 | 1.66579 | 0.832896 | − | 0.553429i | \(-0.186681\pi\) | ||||
0.832896 | + | 0.553429i | \(0.186681\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.88273 | 0.180333 | 0.0901666 | − | 0.995927i | \(-0.471260\pi\) | ||||
0.0901666 | + | 0.995927i | \(0.471260\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 7.43965 | 0.706140 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 15.3224 | 1.44141 | 0.720704 | − | 0.693243i | \(-0.243819\pi\) | ||||
0.720704 | + | 0.693243i | \(0.243819\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.05863 | −0.0987181 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −5.55691 | −0.513737 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −7.11383 | −0.652124 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.23453 | 0.839503 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.88273 | 0.350094 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −18.1725 | −1.61255 | −0.806273 | − | 0.591544i | \(-0.798519\pi\) | ||||
−0.806273 | + | 0.591544i | \(0.798519\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.88273 | 0.165765 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.38101 | −0.557512 | −0.278756 | − | 0.960362i | \(-0.589922\pi\) | ||||
−0.278756 | + | 0.960362i | \(0.589922\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.996562 | −0.0864129 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.00000 | −0.0860663 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.44309 | 0.379598 | 0.189799 | − | 0.981823i | \(-0.439216\pi\) | ||||
0.189799 | + | 0.981823i | \(0.439216\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −20.1725 | −1.71101 | −0.855503 | − | 0.517798i | \(-0.826752\pi\) | ||||
−0.855503 | + | 0.517798i | \(0.826752\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −10.0552 | −0.846800 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 24.9966 | 2.09032 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.00000 | 0.166091 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.11383 | −0.504260 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.00000 | 0.163846 | 0.0819232 | − | 0.996639i | \(-0.473894\pi\) | ||||
0.0819232 | + | 0.996639i | \(0.473894\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.67418 | −0.787274 | −0.393637 | − | 0.919266i | \(-0.628783\pi\) | ||||
−0.393637 | + | 0.919266i | \(0.628783\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 7.55691 | 0.610940 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.55691 | −0.285698 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.32582 | 0.345238 | 0.172619 | − | 0.984989i | \(-0.444777\pi\) | ||||
0.172619 | + | 0.984989i | \(0.444777\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.00000 | −0.158610 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.996562 | −0.0785401 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.11727 | −0.479141 | −0.239571 | − | 0.970879i | \(-0.577007\pi\) | ||||
−0.239571 | + | 0.970879i | \(0.577007\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 4.49828 | 0.350191 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 6.05520 | 0.468565 | 0.234283 | − | 0.972169i | \(-0.424726\pi\) | ||||
0.234283 | + | 0.972169i | \(0.424726\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 17.8793 | 1.37533 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.05863 | 0.0809557 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 16.8793 | 1.28331 | 0.641655 | − | 0.766994i | \(-0.278248\pi\) | ||||
0.641655 | + | 0.766994i | \(0.278248\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.941367 | −0.0711606 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 8.49828 | 0.638770 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 10.6155 | 0.793443 | 0.396722 | − | 0.917939i | \(-0.370148\pi\) | ||||
0.396722 | + | 0.917939i | \(0.370148\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.1173 | −1.04933 | −0.524664 | − | 0.851309i | \(-0.675809\pi\) | ||||
−0.524664 | + | 0.851309i | \(0.675809\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.99656 | 0.665045 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −7.43965 | −0.546974 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −33.9931 | −2.48582 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.941367 | −0.0684744 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −8.00000 | −0.578860 | −0.289430 | − | 0.957199i | \(-0.593466\pi\) | ||||
−0.289430 | + | 0.957199i | \(0.593466\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.87930 | −0.351219 | −0.175610 | − | 0.984460i | \(-0.556190\pi\) | ||||
−0.175610 | + | 0.984460i | \(0.556190\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.55691 | 0.397939 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.88617 | 0.205631 | 0.102816 | − | 0.994700i | \(-0.467215\pi\) | ||||
0.102816 | + | 0.994700i | \(0.467215\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 17.6742 | 1.25289 | 0.626445 | − | 0.779466i | \(-0.284509\pi\) | ||||
0.626445 | + | 0.779466i | \(0.284509\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.00000 | −0.282138 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.88273 | 0.132142 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.88273 | −0.271182 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.05863 | 0.0735801 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.76203 | −0.329396 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −23.9379 | −1.64795 | −0.823977 | − | 0.566623i | \(-0.808250\pi\) | ||||
−0.823977 | + | 0.566623i | \(0.808250\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 12.9966 | 0.890510 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.88273 | −0.128401 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.34836 | −0.227302 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 6.00000 | 0.405442 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −41.9931 | −2.82476 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −24.0552 | −1.61086 | −0.805428 | − | 0.592694i | \(-0.798064\pi\) | ||||
−0.805428 | + | 0.592694i | \(0.798064\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 11.1138 | 0.737651 | 0.368825 | − | 0.929499i | \(-0.379760\pi\) | ||||
0.368825 | + | 0.929499i | \(0.379760\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 17.2311 | 1.13866 | 0.569331 | − | 0.822108i | \(-0.307202\pi\) | ||||
0.569331 | + | 0.822108i | \(0.307202\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.23453 | 0.278612 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 8.44309 | 0.553125 | 0.276562 | − | 0.960996i | \(-0.410805\pi\) | ||||
0.276562 | + | 0.960996i | \(0.410805\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.0552 | 0.655929 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 11.5569 | 0.750702 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.1173 | 0.654432 | 0.327216 | − | 0.944950i | \(-0.393890\pi\) | ||||
0.327216 | + | 0.944950i | \(0.393890\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.8793 | 1.08729 | 0.543646 | − | 0.839315i | \(-0.317044\pi\) | ||||
0.543646 | + | 0.839315i | \(0.317044\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 6.11383 | 0.390598 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.88273 | −0.374309 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.88273 | 0.372803 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −11.8466 | −0.747753 | −0.373877 | − | 0.927478i | \(-0.621972\pi\) | ||||
−0.373877 | + | 0.927478i | \(0.621972\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.76203 | −0.299386 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −7.55691 | −0.473232 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −10.6707 | −0.665623 | −0.332811 | − | 0.942993i | \(-0.607997\pi\) | ||||
−0.332811 | + | 0.942993i | \(0.607997\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.00344 | −0.435172 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.00000 | −0.123797 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 1.94480 | 0.119922 | 0.0599609 | − | 0.998201i | \(-0.480902\pi\) | ||||
0.0599609 | + | 0.998201i | \(0.480902\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.00000 | 0.122859 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.11727 | 0.251973 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 9.76547 | 0.595411 | 0.297706 | − | 0.954658i | \(-0.403779\pi\) | ||||
0.297706 | + | 0.954658i | \(0.403779\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.44652 | 0.209361 | 0.104681 | − | 0.994506i | \(-0.466618\pi\) | ||||
0.104681 | + | 0.994506i | \(0.466618\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.23109 | 0.316600 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −4.49828 | −0.271257 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 18.7880 | 1.12886 | 0.564431 | − | 0.825480i | \(-0.309096\pi\) | ||||
0.564431 | + | 0.825480i | \(0.309096\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.55691 | 0.212947 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 16.8793 | 1.00693 | 0.503467 | − | 0.864014i | \(-0.332057\pi\) | ||||
0.503467 | + | 0.864014i | \(0.332057\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −20.0000 | −1.18888 | −0.594438 | − | 0.804141i | \(-0.702626\pi\) | ||||
−0.594438 | + | 0.804141i | \(0.702626\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.05863 | −0.0627080 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.65508 | −0.215752 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 40.1070 | 2.35923 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 17.1138 | 1.00323 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 20.2277 | 1.18171 | 0.590856 | − | 0.806777i | \(-0.298790\pi\) | ||||
0.590856 | + | 0.806777i | \(0.298790\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8.49828 | −0.494789 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.49828 | −0.261017 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.88273 | −0.340207 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.77234 | −0.102156 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.00000 | −0.114897 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −8.99656 | −0.515142 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.11039 | 0.462884 | 0.231442 | − | 0.972849i | \(-0.425656\pi\) | ||||
0.231442 | + | 0.972849i | \(0.425656\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −10.1725 | −0.578691 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −31.8759 | −1.80751 | −0.903757 | − | 0.428046i | \(-0.859202\pi\) | ||||
−0.903757 | + | 0.428046i | \(0.859202\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.11383 | 0.289051 | 0.144525 | − | 0.989501i | \(-0.453834\pi\) | ||||
0.144525 | + | 0.989501i | \(0.453834\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.941367 | 0.0530400 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 24.6448 | 1.38419 | 0.692094 | − | 0.721807i | \(-0.256688\pi\) | ||||
0.692094 | + | 0.721807i | \(0.256688\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.99656 | 0.503711 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 17.2311 | 0.961746 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.00000 | 0.445132 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.55691 | −0.308242 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.88273 | 0.104115 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 9.46563 | 0.521857 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.0518 | 0.607460 | 0.303730 | − | 0.952758i | \(-0.401768\pi\) | ||||
0.303730 | + | 0.952758i | \(0.401768\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 7.43965 | 0.407690 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.00000 | 0.218543 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −19.9931 | −1.08909 | −0.544547 | − | 0.838730i | \(-0.683299\pi\) | ||||
−0.544547 | + | 0.838730i | \(0.683299\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 15.3224 | 0.832198 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −16.0000 | −0.866449 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.3449 | 0.666563 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.05863 | −0.0569949 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.87930 | 0.369300 | 0.184650 | − | 0.982804i | \(-0.440885\pi\) | ||||
0.184650 | + | 0.982804i | \(0.440885\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.76203 | −0.254906 | −0.127453 | − | 0.991845i | \(-0.540680\pi\) | ||||
−0.127453 | + | 0.991845i | \(0.540680\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.55691 | −0.296606 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −3.79145 | −0.201798 | −0.100899 | − | 0.994897i | \(-0.532172\pi\) | ||||
−0.100899 | + | 0.994897i | \(0.532172\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −12.9966 | −0.689786 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −7.11383 | −0.376504 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 12.9966 | 0.685932 | 0.342966 | − | 0.939348i | \(-0.388568\pi\) | ||||
0.342966 | + | 0.939348i | \(0.388568\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.8793 | −0.941016 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 9.23453 | 0.484687 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.00000 | −0.314054 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 22.9345 | 1.19717 | 0.598585 | − | 0.801059i | \(-0.295730\pi\) | ||||
0.598585 | + | 0.801059i | \(0.295730\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.88273 | 0.202127 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.88273 | 0.0977467 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −15.4396 | −0.799435 | −0.399717 | − | 0.916638i | \(-0.630892\pi\) | ||||
−0.399717 | + | 0.916638i | \(0.630892\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.00000 | −0.0516398 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 11.1138 | 0.572391 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.28973 | 0.323082 | 0.161541 | − | 0.986866i | \(-0.448354\pi\) | ||||
0.161541 | + | 0.986866i | \(0.448354\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −18.1725 | −0.931003 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.94137 | 0.150297 | 0.0751484 | − | 0.997172i | \(-0.476057\pi\) | ||||
0.0751484 | + | 0.997172i | \(0.476057\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.23453 | −0.215812 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.88273 | 0.0957047 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −12.2277 | −0.619967 | −0.309983 | − | 0.950742i | \(-0.600324\pi\) | ||||
−0.309983 | + | 0.950742i | \(0.600324\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.00000 | 0.404577 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.38101 | −0.321880 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −11.5569 | −0.581491 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.32238 | −0.267123 | −0.133561 | − | 0.991041i | \(-0.542641\pi\) | ||||
−0.133561 | + | 0.991041i | \(0.542641\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.996562 | −0.0498905 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 6.99656 | 0.349392 | 0.174696 | − | 0.984622i | \(-0.444106\pi\) | ||||
0.174696 | + | 0.984622i | \(0.444106\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.7655 | −0.984588 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.00000 | −0.0496904 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −33.4656 | −1.65883 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −16.2277 | −0.802406 | −0.401203 | − | 0.915989i | \(-0.631408\pi\) | ||||
−0.401203 | + | 0.915989i | \(0.631408\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.44309 | 0.219161 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −8.00000 | −0.393654 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.88273 | −0.288772 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −20.1725 | −0.987850 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −15.6121 | −0.762701 | −0.381351 | − | 0.924430i | \(-0.624541\pi\) | ||||
−0.381351 | + | 0.924430i | \(0.624541\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −33.2311 | −1.61958 | −0.809792 | − | 0.586717i | \(-0.800420\pi\) | ||||
−0.809792 | + | 0.586717i | \(0.800420\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −10.0552 | −0.488900 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.55691 | 0.366564 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −8.46907 | −0.409847 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 24.9966 | 1.20685 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.9966 | −0.626022 | −0.313011 | − | 0.949749i | \(-0.601338\pi\) | ||||
−0.313011 | + | 0.949749i | \(0.601338\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 20.2277 | 0.972079 | 0.486040 | − | 0.873937i | \(-0.338441\pi\) | ||||
0.486040 | + | 0.873937i | \(0.338441\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.00000 | 0.0958927 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.12070 | 0.0536106 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.43965 | 0.259620 | 0.129810 | − | 0.991539i | \(-0.458563\pi\) | ||||
0.129810 | + | 0.991539i | \(0.458563\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.11383 | −0.291135 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.3484 | 0.729223 | 0.364611 | − | 0.931160i | \(-0.381202\pi\) | ||||
0.364611 | + | 0.931160i | \(0.381202\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.11727 | −0.195177 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.00000 | 0.0945968 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 4.22766 | 0.199515 | 0.0997577 | − | 0.995012i | \(-0.468193\pi\) | ||||
0.0997577 | + | 0.995012i | \(0.468193\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.4656 | −0.822424 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −9.67418 | −0.454533 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.23109 | −0.245238 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.65164 | −0.124038 | −0.0620192 | − | 0.998075i | \(-0.519754\pi\) | ||||
−0.0620192 | + | 0.998075i | \(0.519754\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 7.55691 | 0.352727 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −10.2345 | −0.476670 | −0.238335 | − | 0.971183i | \(-0.576602\pi\) | ||||
−0.238335 | + | 0.971183i | \(0.576602\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.0586 | 0.885730 | 0.442865 | − | 0.896588i | \(-0.353962\pi\) | ||||
0.442865 | + | 0.896588i | \(0.353962\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.55691 | −0.164948 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −4.11039 | −0.190206 | −0.0951031 | − | 0.995467i | \(-0.530318\pi\) | ||||
−0.0951031 | + | 0.995467i | \(0.530318\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.76547 | 0.173873 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 4.32582 | 0.199323 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −8.46907 | −0.389408 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.05863 | 0.0485734 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.00000 | −0.0915737 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −25.2311 | −1.15284 | −0.576419 | − | 0.817154i | \(-0.695550\pi\) | ||||
−0.576419 | + | 0.817154i | \(0.695550\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −41.3415 | −1.88501 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.996562 | −0.0453451 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −17.1138 | −0.777099 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.9379 | 0.994102 | 0.497051 | − | 0.867721i | \(-0.334416\pi\) | ||||
0.497051 | + | 0.867721i | \(0.334416\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −6.11727 | −0.276632 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.50172 | 0.338548 | 0.169274 | − | 0.985569i | \(-0.445858\pi\) | ||||
0.169274 | + | 0.985569i | \(0.445858\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.1138 | −0.680693 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.49828 | 0.202183 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −12.2345 | −0.548794 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −29.1690 | −1.30578 | −0.652892 | − | 0.757451i | \(-0.726445\pi\) | ||||
−0.652892 | + | 0.757451i | \(0.726445\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 6.05520 | 0.270526 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 23.9379 | 1.06734 | 0.533670 | − | 0.845693i | \(-0.320813\pi\) | ||||
0.533670 | + | 0.845693i | \(0.320813\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.00000 | 0.0889988 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 17.8793 | 0.794047 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 28.6967 | 1.27196 | 0.635980 | − | 0.771706i | \(-0.280596\pi\) | ||||
0.635980 | + | 0.771706i | \(0.280596\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.64820 | −0.249862 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.05863 | 0.0467398 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 10.1725 | 0.448252 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 45.2311 | 1.98926 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 16.8793 | 0.740919 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.0000 | −0.438108 | −0.219054 | − | 0.975713i | \(-0.570297\pi\) | ||||
−0.219054 | + | 0.975713i | \(0.570297\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −25.7586 | −1.12634 | −0.563172 | − | 0.826340i | \(-0.690419\pi\) | ||||
−0.563172 | + | 0.826340i | \(0.690419\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.941367 | −0.0410846 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 26.8793 | 1.17088 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.8793 | −0.951274 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 8.49828 | 0.368794 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −21.5760 | −0.934561 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −17.2311 | −0.744965 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 10.6155 | 0.458095 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 27.5017 | 1.18458 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.3449 | 0.530750 | 0.265375 | − | 0.964145i | \(-0.414504\pi\) | ||||
0.265375 | + | 0.964145i | \(0.414504\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −14.1173 | −0.605830 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −1.88273 | −0.0806475 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −19.8759 | −0.849830 | −0.424915 | − | 0.905233i | \(-0.639696\pi\) | ||||
−0.424915 | + | 0.905233i | \(0.639696\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 8.99656 | 0.383964 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.11727 | −0.0901986 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −10.8793 | −0.462635 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −7.43965 | −0.315795 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.12070 | 0.132228 | 0.0661142 | − | 0.997812i | \(-0.478940\pi\) | ||||
0.0661142 | + | 0.997812i | \(0.478940\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.4622 | −0.442503 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −33.9931 | −1.43519 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −0.651639 | −0.0274633 | −0.0137317 | − | 0.999906i | \(-0.504371\pi\) | ||||
−0.0137317 | + | 0.999906i | \(0.504371\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −15.3224 | −0.644617 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.941367 | −0.0395337 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −26.9966 | −1.13175 | −0.565877 | − | 0.824489i | \(-0.691462\pi\) | ||||
−0.565877 | + | 0.824489i | \(0.691462\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.9414 | −0.625277 | −0.312638 | − | 0.949872i | \(-0.601213\pi\) | ||||
−0.312638 | + | 0.949872i | \(0.601213\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8.00000 | −0.334205 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.05863 | 0.0441481 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.87930 | −0.369650 | −0.184825 | − | 0.982771i | \(-0.559172\pi\) | ||||
−0.184825 | + | 0.982771i | \(0.559172\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −4.87930 | −0.202777 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.53781 | −0.229747 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.99656 | 0.372600 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 5.55691 | 0.229750 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −1.23109 | −0.0508127 | −0.0254064 | − | 0.999677i | \(-0.508088\pi\) | ||||
−0.0254064 | + | 0.999677i | \(0.508088\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.76547 | 0.155153 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 2.88617 | 0.118721 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3.55691 | 0.146065 | 0.0730325 | − | 0.997330i | \(-0.476732\pi\) | ||||
0.0730325 | + | 0.997330i | \(0.476732\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.11383 | 0.291639 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 17.6742 | 0.723356 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 19.2242 | 0.785480 | 0.392740 | − | 0.919649i | \(-0.371527\pi\) | ||||
0.392740 | + | 0.919649i | \(0.371527\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 27.7586 | 1.13230 | 0.566148 | − | 0.824303i | \(-0.308433\pi\) | ||||
0.566148 | + | 0.824303i | \(0.308433\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.00000 | −0.162893 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −9.23453 | −0.375437 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.16902 | 0.290982 | 0.145491 | − | 0.989360i | \(-0.453524\pi\) | ||||
0.145491 | + | 0.989360i | \(0.453524\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.88273 | 0.0762922 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 55.8759 | 2.26050 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.55691 | −0.386000 | −0.193000 | − | 0.981199i | \(-0.561822\pi\) | ||||
−0.193000 | + | 0.981199i | \(0.561822\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −3.88273 | −0.156567 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.32926 | −0.0535139 | −0.0267569 | − | 0.999642i | \(-0.508518\pi\) | ||||
−0.0267569 | + | 0.999642i | \(0.508518\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −28.1725 | −1.13235 | −0.566173 | − | 0.824286i | \(-0.691577\pi\) | ||||
−0.566173 | + | 0.824286i | \(0.691577\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.05863 | 0.0424815 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −3.87586 | −0.155283 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −4.76203 | −0.190177 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 56.2208 | 2.24167 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 23.3224 | 0.928449 | 0.464225 | − | 0.885717i | \(-0.346333\pi\) | ||||
0.464225 | + | 0.885717i | \(0.346333\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −23.9379 | −0.951447 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 18.1725 | 0.721152 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 33.9740 | 1.34610 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 12.9966 | 0.514136 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 27.1070 | 1.07066 | 0.535330 | − | 0.844643i | \(-0.320187\pi\) | ||||
0.535330 | + | 0.844643i | \(0.320187\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.3449 | 0.802325 | 0.401163 | − | 0.916007i | \(-0.368606\pi\) | ||||
0.401163 | + | 0.916007i | \(0.368606\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.88273 | −0.0741326 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −37.6965 | −1.48200 | −0.741002 | − | 0.671503i | \(-0.765649\pi\) | ||||
−0.741002 | + | 0.671503i | \(0.765649\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −38.2277 | −1.50057 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.34836 | −0.131233 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −8.64476 | −0.338296 | −0.169148 | − | 0.985591i | \(-0.554102\pi\) | ||||
−0.169148 | + | 0.985591i | \(0.554102\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.38101 | 0.249327 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.00000 | 0.234082 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 29.2603 | 1.13982 | 0.569910 | − | 0.821707i | \(-0.306978\pi\) | ||||
0.569910 | + | 0.821707i | \(0.306978\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −28.7620 | −1.11871 | −0.559357 | − | 0.828927i | \(-0.688952\pi\) | ||||
−0.559357 | + | 0.828927i | \(0.688952\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −41.9931 | −1.63088 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.996562 | 0.0386450 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.11727 | −0.0819809 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −24.0552 | −0.930028 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −40.4691 | −1.56229 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.0000 | −0.693849 | −0.346925 | − | 0.937893i | \(-0.612774\pi\) | ||||
−0.346925 | + | 0.937893i | \(0.612774\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.00000 | 0.0384900 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 42.8724 | 1.64772 | 0.823860 | − | 0.566793i | \(-0.191816\pi\) | ||||
0.823860 | + | 0.566793i | \(0.191816\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −16.1104 | −0.618260 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 11.1138 | 0.425883 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 26.1173 | 0.999349 | 0.499675 | − | 0.866213i | \(-0.333453\pi\) | ||||
0.499675 | + | 0.866213i | \(0.333453\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.44309 | −0.169762 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 17.2311 | 0.657407 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 11.1138 | 0.423403 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.29317 | −0.201362 | −0.100681 | − | 0.994919i | \(-0.532102\pi\) | ||||
−0.100681 | + | 0.994919i | \(0.532102\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 4.23453 | 0.160857 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 20.1725 | 0.765185 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 29.3415 | 1.11139 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 8.44309 | 0.319347 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 7.99312 | 0.301896 | 0.150948 | − | 0.988542i | \(-0.451767\pi\) | ||||
0.150948 | + | 0.988542i | \(0.451767\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.87586 | 0.297044 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 10.0552 | 0.378701 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1.88273 | 0.0708075 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 28.9966 | 1.08899 | 0.544494 | − | 0.838764i | \(-0.316722\pi\) | ||||
0.544494 | + | 0.838764i | \(0.316722\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 11.5569 | 0.433418 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.76547 | 0.141018 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −24.9966 | −0.934818 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 10.1173 | 0.377836 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 26.8793 | 1.00243 | 0.501214 | − | 0.865323i | \(-0.332887\pi\) | ||||
0.501214 | + | 0.865323i | \(0.332887\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.57602 | 0.356630 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 16.8793 | 0.627748 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.00000 | −0.0742781 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −41.8138 | −1.55079 | −0.775394 | − | 0.631478i | \(-0.782449\pi\) | ||||
−0.775394 | + | 0.631478i | \(0.782449\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 14.2277 | 0.526229 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 30.0844 | 1.11119 | 0.555597 | − | 0.831452i | \(-0.312490\pi\) | ||||
0.555597 | + | 0.831452i | \(0.312490\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 6.11383 | 0.225512 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 17.9931 | 0.662785 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 29.0449 | 1.06843 | 0.534217 | − | 0.845348i | \(-0.320607\pi\) | ||||
0.534217 | + | 0.845348i | \(0.320607\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −5.88273 | −0.216108 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 43.2863 | 1.58802 | 0.794010 | − | 0.607905i | \(-0.207990\pi\) | ||||
0.794010 | + | 0.607905i | \(0.207990\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.00000 | −0.0732743 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 5.88273 | 0.215238 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −16.2208 | −0.592694 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 41.7846 | 1.52474 | 0.762370 | − | 0.647141i | \(-0.224036\pi\) | ||||
0.762370 | + | 0.647141i | \(0.224036\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −11.8466 | −0.431716 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 9.67418 | 0.352079 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.3258 | 0.593372 | 0.296686 | − | 0.954975i | \(-0.404119\pi\) | ||||
0.296686 | + | 0.954975i | \(0.404119\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −4.76203 | −0.172851 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −50.2208 | −1.82050 | −0.910251 | − | 0.414057i | \(-0.864111\pi\) | ||||
−0.910251 | + | 0.414057i | \(0.864111\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.77234 | −0.0641631 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −7.55691 | −0.273221 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −47.2242 | −1.70517 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −31.3415 | −1.13020 | −0.565101 | − | 0.825021i | \(-0.691163\pi\) | ||||
−0.565101 | + | 0.825021i | \(0.691163\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −10.6707 | −0.384297 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 9.11383 | 0.327802 | 0.163901 | − | 0.986477i | \(-0.447592\pi\) | ||||
0.163901 | + | 0.986477i | \(0.447592\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.55691 | 0.127768 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −7.00344 | −0.251247 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.11039 | 0.147270 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −58.4622 | −2.09194 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.00000 | −0.0714742 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −4.32582 | −0.154395 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 36.2208 | 1.29113 | 0.645566 | − | 0.763705i | \(-0.276622\pi\) | ||||
0.645566 | + | 0.763705i | \(0.276622\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1.94480 | 0.0692369 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −14.4240 | −0.512858 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −49.9931 | −1.77531 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.00000 | 0.0709327 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 10.0000 | 0.354218 | 0.177109 | − | 0.984191i | \(-0.443325\pi\) | ||||
0.177109 | + | 0.984191i | \(0.443325\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −75.9862 | −2.68820 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 4.11727 | 0.145476 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −26.9897 | −0.952445 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.996562 | 0.0351242 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 9.76547 | 0.343761 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −47.5760 | −1.67268 | −0.836342 | − | 0.548208i | \(-0.815310\pi\) | ||||
−0.836342 | + | 0.548208i | \(0.815310\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −20.5174 | −0.720463 | −0.360231 | − | 0.932863i | \(-0.617302\pi\) | ||||
−0.360231 | + | 0.932863i | \(0.617302\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.44652 | 0.120875 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 6.11727 | 0.214278 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.99312 | 0.0697306 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 5.23109 | 0.182789 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −44.4622 | −1.55174 | −0.775871 | − | 0.630892i | \(-0.782689\pi\) | ||||
−0.775871 | + | 0.630892i | \(0.782689\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −32.1656 | −1.12122 | −0.560611 | − | 0.828079i | \(-0.689434\pi\) | ||||
−0.560611 | + | 0.828079i | \(0.689434\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.49828 | −0.156610 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 20.0000 | 0.695468 | 0.347734 | − | 0.937593i | \(-0.386951\pi\) | ||||
0.347734 | + | 0.937593i | \(0.386951\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 33.8827 | 1.17680 | 0.588398 | − | 0.808571i | \(-0.299759\pi\) | ||||
0.588398 | + | 0.808571i | \(0.299759\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 18.7880 | 0.651749 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −46.2017 | −1.60079 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.05520 | −0.209549 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 3.55691 | 0.122945 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.52750 | −0.156307 | −0.0781533 | − | 0.996941i | \(-0.524902\pi\) | ||||
−0.0781533 | + | 0.996941i | \(0.524902\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 16.8793 | 0.581354 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −17.8793 | −0.615066 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −8.69308 | −0.298698 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −20.0000 | −0.686398 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 7.87586 | 0.269981 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 50.4293 | 1.72667 | 0.863334 | − | 0.504633i | \(-0.168372\pi\) | ||||
0.863334 | + | 0.504633i | \(0.168372\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.05863 | −0.0362045 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −26.4362 | −0.903044 | −0.451522 | − | 0.892260i | \(-0.649119\pi\) | ||||
−0.451522 | + | 0.892260i | \(0.649119\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.406994 | −0.0138865 | −0.00694323 | − | 0.999976i | \(-0.502210\pi\) | ||||
−0.00694323 | + | 0.999976i | \(0.502210\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.65508 | −0.124565 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −29.9311 | −1.01886 | −0.509432 | − | 0.860511i | \(-0.670145\pi\) | ||||
−0.509432 | + | 0.860511i | \(0.670145\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −16.8793 | −0.573913 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 40.1070 | 1.36210 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −51.9862 | −1.76351 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 22.2277 | 0.753155 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 17.1138 | 0.579215 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.941367 | 0.0318240 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −11.2051 | −0.378370 | −0.189185 | − | 0.981941i | \(-0.560585\pi\) | ||||
−0.189185 | + | 0.981941i | \(0.560585\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 20.2277 | 0.682262 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −48.3380 | −1.62855 | −0.814275 | − | 0.580479i | \(-0.802865\pi\) | ||||
−0.814275 | + | 0.580479i | \(0.802865\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −50.5726 | −1.70190 | −0.850951 | − | 0.525244i | \(-0.823974\pi\) | ||||
−0.850951 | + | 0.525244i | \(0.823974\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −8.49828 | −0.285667 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 48.0483 | 1.61330 | 0.806652 | − | 0.591026i | \(-0.201277\pi\) | ||||
0.806652 | + | 0.591026i | \(0.201277\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 17.1070 | 0.573749 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −4.49828 | −0.150698 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −10.6448 | −0.356213 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.6155 | −0.354839 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −5.88273 | −0.196419 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −7.11383 | −0.237259 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −15.1138 | −0.503515 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.77234 | −0.0589799 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 14.1173 | 0.469274 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.46219 | 0.214573 | 0.107287 | − | 0.994228i | \(-0.465784\pi\) | ||||
0.107287 | + | 0.994228i | \(0.465784\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.00000 | −0.0663358 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 50.3380 | 1.66777 | 0.833887 | − | 0.551935i | \(-0.186110\pi\) | ||||
0.833887 | + | 0.551935i | \(0.186110\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −26.4622 | −0.875771 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −8.99656 | −0.297417 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.00688 | 0.198365 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −46.4362 | −1.53179 | −0.765895 | − | 0.642966i | \(-0.777704\pi\) | ||||
−0.765895 | + | 0.642966i | \(0.777704\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 8.11039 | 0.267246 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −72.2208 | −2.37718 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.43965 | 0.244614 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −10.1725 | −0.334107 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −35.9931 | −1.18090 | −0.590448 | − | 0.807076i | \(-0.701049\pi\) | ||||
−0.590448 | + | 0.807076i | \(0.701049\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.47230 | −0.212121 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −31.8759 | −1.04357 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 33.9931 | 1.11169 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.70360 | −0.0883227 | −0.0441613 | − | 0.999024i | \(-0.514062\pi\) | ||||
−0.0441613 | + | 0.999024i | \(0.514062\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 5.11383 | 0.166883 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −17.7655 | −0.579138 | −0.289569 | − | 0.957157i | \(-0.593512\pi\) | ||||
−0.289569 | + | 0.957157i | \(0.593512\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.11039 | 0.133853 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.941367 | 0.0306227 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −26.2277 | −0.852284 | −0.426142 | − | 0.904656i | \(-0.640128\pi\) | ||||
−0.426142 | + | 0.904656i | \(0.640128\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −33.3415 | −1.08231 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 24.6448 | 0.799161 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −9.09472 | −0.294607 | −0.147304 | − | 0.989091i | \(-0.547059\pi\) | ||||
−0.147304 | + | 0.989091i | \(0.547059\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.00000 | 0.258874 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 8.99656 | 0.290818 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −4.18257 | −0.135062 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −18.3484 | −0.591883 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 17.2311 | 0.555264 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.87930 | 0.157070 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 7.47574 | 0.240404 | 0.120202 | − | 0.992749i | \(-0.461646\pi\) | ||||
0.120202 | + | 0.992749i | \(0.461646\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.00000 | 0.256997 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 41.0777 | 1.31825 | 0.659124 | − | 0.752035i | \(-0.270927\pi\) | ||||
0.659124 | + | 0.752035i | \(0.270927\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 18.9897 | 0.608781 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −5.55691 | −0.177964 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −4.20855 | −0.134644 | −0.0673218 | − | 0.997731i | \(-0.521445\pi\) | ||||
−0.0673218 | + | 0.997731i | \(0.521445\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −18.5206 | −0.591922 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.88273 | 0.0601111 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 8.35504 | 0.266484 | 0.133242 | − | 0.991084i | \(-0.457461\pi\) | ||||
0.133242 | + | 0.991084i | \(0.457461\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.88617 | −0.0919611 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 9.46563 | 0.301294 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1.99312 | 0.0633777 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.9087 | −0.441825 | −0.220912 | − | 0.975294i | \(-0.570903\pi\) | ||||
−0.220912 | + | 0.975294i | \(0.570903\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 11.0518 | 0.350717 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −17.6742 | −0.560309 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −34.8984 | −1.10524 | −0.552622 | − | 0.833432i | \(-0.686373\pi\) | ||||
−0.552622 | + | 0.833432i | \(0.686373\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 7.43965 | 0.235380 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))