Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1792,2,Mod(1,1792)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1792, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([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("1792.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1792 = 2^{8} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1792.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: | \(14.3091920422\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | 4.4.9248.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 5x^{2} + 2 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 56) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(2.13578\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1792.1 |
$q$-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 | ||||||||
\(3\) | −0.936426 | −0.540646 | −0.270323 | − | 0.962770i | \(-0.587130\pi\) | ||||
−0.270323 | + | 0.962770i | \(0.587130\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.33513 | 1.49152 | 0.745758 | − | 0.666217i | \(-0.232087\pi\) | ||||
0.745758 | + | 0.666217i | \(0.232087\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.12311 | −0.707702 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.27156 | −1.28792 | −0.643962 | − | 0.765058i | \(-0.722710\pi\) | ||||
−0.643962 | + | 0.765058i | \(0.722710\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.33513 | 0.924999 | 0.462500 | − | 0.886619i | \(-0.346953\pi\) | ||||
0.462500 | + | 0.886619i | \(0.346953\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.12311 | −0.806382 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.00000 | 0.485071 | 0.242536 | − | 0.970143i | \(-0.422021\pi\) | ||||
0.242536 | + | 0.970143i | \(0.422021\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.936426 | −0.214831 | −0.107415 | − | 0.994214i | \(-0.534258\pi\) | ||||
−0.107415 | + | 0.994214i | \(0.534258\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.936426 | −0.204345 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.12311 | 0.651213 | 0.325606 | − | 0.945505i | \(-0.394432\pi\) | ||||
0.325606 | + | 0.945505i | \(0.394432\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.12311 | 1.22462 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.79741 | 0.923262 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.87285 | 0.347780 | 0.173890 | − | 0.984765i | \(-0.444366\pi\) | ||||
0.173890 | + | 0.984765i | \(0.444366\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.24621 | 1.12185 | 0.560926 | − | 0.827866i | \(-0.310445\pi\) | ||||
0.560926 | + | 0.827866i | \(0.310445\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.00000 | 0.696311 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.33513 | 0.563740 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.87285 | 0.307895 | 0.153948 | − | 0.988079i | \(-0.450801\pi\) | ||||
0.153948 | + | 0.988079i | \(0.450801\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.12311 | −0.500097 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 12.2462 | 1.91254 | 0.956268 | − | 0.292490i | \(-0.0944840\pi\) | ||||
0.956268 | + | 0.292490i | \(0.0944840\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.27156 | −0.651407 | −0.325703 | − | 0.945472i | \(-0.605601\pi\) | ||||
−0.325703 | + | 0.945472i | \(0.605601\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −7.08084 | −1.05555 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.87285 | −0.262252 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.54312 | −1.17349 | −0.586744 | − | 0.809773i | \(-0.699590\pi\) | ||||
−0.586744 | + | 0.809773i | \(0.699590\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −14.2462 | −1.92096 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.876894 | 0.116147 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.60669 | 0.990307 | 0.495153 | − | 0.868806i | \(-0.335112\pi\) | ||||
0.495153 | + | 0.868806i | \(0.335112\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.33513 | 0.427020 | 0.213510 | − | 0.976941i | \(-0.431510\pi\) | ||||
0.213510 | + | 0.976941i | \(0.431510\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.12311 | −0.267486 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 11.1231 | 1.37965 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −15.7392 | −1.92285 | −0.961427 | − | 0.275061i | \(-0.911302\pi\) | ||||
−0.961427 | + | 0.275061i | \(0.911302\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.92456 | −0.352075 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.00000 | 0.949425 | 0.474713 | − | 0.880141i | \(-0.342552\pi\) | ||||
0.474713 | + | 0.880141i | \(0.342552\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.00000 | 0.702247 | 0.351123 | − | 0.936329i | \(-0.385800\pi\) | ||||
0.351123 | + | 0.936329i | \(0.385800\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −5.73384 | −0.662087 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.27156 | −0.486789 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.87689 | 0.208544 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.47954 | 1.04052 | 0.520258 | − | 0.854009i | \(-0.325836\pi\) | ||||
0.520258 | + | 0.854009i | \(0.325836\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.67026 | 0.723492 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.75379 | −0.188026 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.246211 | −0.0260983 | −0.0130492 | − | 0.999915i | \(-0.504154\pi\) | ||||
−0.0130492 | + | 0.999915i | \(0.504154\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.33513 | 0.349617 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.84912 | −0.606525 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.12311 | −0.320424 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.24621 | −0.431137 | −0.215569 | − | 0.976489i | \(-0.569161\pi\) | ||||
−0.215569 | + | 0.976489i | \(0.569161\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 9.06897 | 0.911466 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.08084 | −0.704570 | −0.352285 | − | 0.935893i | \(-0.614595\pi\) | ||||
−0.352285 | + | 0.935893i | \(0.614595\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.2462 | 1.40372 | 0.701860 | − | 0.712314i | \(-0.252353\pi\) | ||||
0.701860 | + | 0.712314i | \(0.252353\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.12311 | −0.304784 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −7.19612 | −0.695675 | −0.347837 | − | 0.937555i | \(-0.613084\pi\) | ||||
−0.347837 | + | 0.937555i | \(0.613084\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.61856 | −0.538160 | −0.269080 | − | 0.963118i | \(-0.586720\pi\) | ||||
−0.269080 | + | 0.963118i | \(0.586720\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.75379 | −0.166462 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 13.1231 | 1.23452 | 0.617259 | − | 0.786760i | \(-0.288243\pi\) | ||||
0.617259 | + | 0.786760i | \(0.288243\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 10.4160 | 0.971294 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −7.08084 | −0.654624 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.00000 | 0.183340 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.24621 | 0.658746 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −11.4677 | −1.03401 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 3.74571 | 0.335026 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.87689 | 0.432754 | 0.216377 | − | 0.976310i | \(-0.430576\pi\) | ||||
0.216377 | + | 0.976310i | \(0.430576\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 4.00000 | 0.352180 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.86098 | −0.337336 | −0.168668 | − | 0.985673i | \(-0.553947\pi\) | ||||
−0.168668 | + | 0.985673i | \(0.553947\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.936426 | −0.0811985 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 16.0000 | 1.37706 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.246211 | −0.0210352 | −0.0105176 | − | 0.999945i | \(-0.503348\pi\) | ||||
−0.0105176 | + | 0.999945i | \(0.503348\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 18.0227 | 1.52866 | 0.764331 | − | 0.644824i | \(-0.223069\pi\) | ||||
0.764331 | + | 0.644824i | \(0.223069\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −14.2462 | −1.19133 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.24621 | 0.518720 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.936426 | −0.0772351 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 12.2888 | 1.00674 | 0.503370 | − | 0.864071i | \(-0.332093\pi\) | ||||
0.503370 | + | 0.864071i | \(0.332093\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −19.1231 | −1.55622 | −0.778108 | − | 0.628130i | \(-0.783820\pi\) | ||||
−0.778108 | + | 0.628130i | \(0.783820\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.24621 | −0.343286 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 20.8319 | 1.67326 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 16.6757 | 1.33086 | 0.665431 | − | 0.746459i | \(-0.268248\pi\) | ||||
0.665431 | + | 0.746459i | \(0.268248\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 8.00000 | 0.634441 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.12311 | 0.246135 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.01726 | 0.627961 | 0.313980 | − | 0.949430i | \(-0.398337\pi\) | ||||
0.313980 | + | 0.949430i | \(0.398337\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 13.3405 | 1.03856 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −8.00000 | −0.619059 | −0.309529 | − | 0.950890i | \(-0.600171\pi\) | ||||
−0.309529 | + | 0.950890i | \(0.600171\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.87689 | −0.144376 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.98813 | 0.152036 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −17.4968 | −1.33026 | −0.665129 | − | 0.746729i | \(-0.731623\pi\) | ||||
−0.665129 | + | 0.746729i | \(0.731623\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.12311 | 0.462863 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −7.12311 | −0.535405 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.39871 | −0.179288 | −0.0896438 | − | 0.995974i | \(-0.528573\pi\) | ||||
−0.0896438 | + | 0.995974i | \(0.528573\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.7511 | 1.02211 | 0.511056 | − | 0.859548i | \(-0.329255\pi\) | ||||
0.511056 | + | 0.859548i | \(0.329255\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.12311 | −0.230867 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 6.24621 | 0.459231 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.54312 | −0.624735 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.79741 | 0.348960 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 16.0000 | 1.15772 | 0.578860 | − | 0.815427i | \(-0.303498\pi\) | ||||
0.578860 | + | 0.815427i | \(0.303498\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.87689 | −0.207083 | −0.103542 | − | 0.994625i | \(-0.533018\pi\) | ||||
−0.103542 | + | 0.994625i | \(0.533018\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −10.4160 | −0.745903 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.05171 | −0.0749309 | −0.0374655 | − | 0.999298i | \(-0.511928\pi\) | ||||
−0.0374655 | + | 0.999298i | \(0.511928\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.75379 | 0.124323 | 0.0621614 | − | 0.998066i | \(-0.480201\pi\) | ||||
0.0621614 | + | 0.998066i | \(0.480201\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 14.7386 | 1.03958 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.87285 | 0.131448 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 40.8427 | 2.85258 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6.63068 | −0.460864 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.00000 | 0.276686 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.39871 | −0.165134 | −0.0825669 | − | 0.996586i | \(-0.526312\pi\) | ||||
−0.0825669 | + | 0.996586i | \(0.526312\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −7.49141 | −0.513303 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −14.2462 | −0.971584 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.24621 | 0.424020 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −5.61856 | −0.379667 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.67026 | 0.448691 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −22.2462 | −1.48972 | −0.744858 | − | 0.667223i | \(-0.767483\pi\) | ||||
−0.744858 | + | 0.667223i | \(0.767483\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −13.0000 | −0.866667 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 12.4041 | 0.823289 | 0.411645 | − | 0.911344i | \(-0.364955\pi\) | ||||
0.411645 | + | 0.911344i | \(0.364955\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.15628 | −0.274655 | −0.137327 | − | 0.990526i | \(-0.543851\pi\) | ||||
−0.137327 | + | 0.990526i | \(0.543851\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.00000 | 0.263181 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.246211 | −0.0161298 | −0.00806492 | − | 0.999967i | \(-0.502567\pi\) | ||||
−0.00806492 | + | 0.999967i | \(0.502567\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 23.6155 | 1.52756 | 0.763781 | − | 0.645476i | \(-0.223341\pi\) | ||||
0.763781 | + | 0.645476i | \(0.223341\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −20.2462 | −1.30417 | −0.652087 | − | 0.758145i | \(-0.726106\pi\) | ||||
−0.652087 | + | 0.758145i | \(0.726106\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −16.1498 | −1.03601 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 3.33513 | 0.213074 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.12311 | −0.198718 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −8.87689 | −0.562550 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −26.5658 | −1.67682 | −0.838408 | − | 0.545042i | \(-0.816514\pi\) | ||||
−0.838408 | + | 0.545042i | \(0.816514\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.3405 | −0.838712 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −6.24621 | −0.391153 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −10.4924 | −0.654499 | −0.327250 | − | 0.944938i | \(-0.606122\pi\) | ||||
−0.327250 | + | 0.944938i | \(0.606122\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.87285 | 0.116373 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.97626 | −0.246125 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 20.4924 | 1.26362 | 0.631808 | − | 0.775125i | \(-0.282313\pi\) | ||||
0.631808 | + | 0.775125i | \(0.282313\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −28.4924 | −1.75028 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.230559 | 0.0141100 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −23.3459 | −1.42343 | −0.711713 | − | 0.702470i | \(-0.752080\pi\) | ||||
−0.711713 | + | 0.702470i | \(0.752080\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.24621 | −0.379430 | −0.189715 | − | 0.981839i | \(-0.560756\pi\) | ||||
−0.189715 | + | 0.981839i | \(0.560756\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −3.12311 | −0.189019 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −26.1552 | −1.57722 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.54312 | −0.513306 | −0.256653 | − | 0.966504i | \(-0.582620\pi\) | ||||
−0.256653 | + | 0.966504i | \(0.582620\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −13.2614 | −0.793937 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.00000 | 0.357930 | 0.178965 | − | 0.983855i | \(-0.442725\pi\) | ||||
0.178965 | + | 0.983855i | \(0.442725\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.65840 | −0.514688 | −0.257344 | − | 0.966320i | \(-0.582847\pi\) | ||||
−0.257344 | + | 0.966320i | \(0.582847\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.92456 | 0.173236 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.2462 | 0.722871 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.0000 | −0.764706 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.97626 | 0.233093 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −7.08084 | −0.413667 | −0.206833 | − | 0.978376i | \(-0.566316\pi\) | ||||
−0.206833 | + | 0.978376i | \(0.566316\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 25.3693 | 1.47706 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −20.4924 | −1.18909 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 10.4160 | 0.602371 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.27156 | −0.246209 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 6.63068 | 0.380923 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 11.1231 | 0.636907 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 15.3287 | 0.874853 | 0.437426 | − | 0.899254i | \(-0.355890\pi\) | ||||
0.437426 | + | 0.899254i | \(0.355890\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −13.3405 | −0.758916 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −20.4924 | −1.16202 | −0.581009 | − | 0.813897i | \(-0.697342\pi\) | ||||
−0.581009 | + | 0.813897i | \(0.697342\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −28.7386 | −1.62440 | −0.812202 | − | 0.583377i | \(-0.801731\pi\) | ||||
−0.812202 | + | 0.583377i | \(0.801731\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −7.08084 | −0.398960 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −21.8836 | −1.22911 | −0.614554 | − | 0.788875i | \(-0.710664\pi\) | ||||
−0.614554 | + | 0.788875i | \(0.710664\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8.00000 | −0.447914 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.73863 | 0.376114 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.87285 | −0.104208 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 20.4214 | 1.13277 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.26137 | 0.290954 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 22.4095 | 1.23174 | 0.615869 | − | 0.787849i | \(-0.288805\pi\) | ||||
0.615869 | + | 0.787849i | \(0.288805\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.97626 | −0.217898 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −52.4924 | −2.86797 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.12311 | −0.496967 | −0.248484 | − | 0.968636i | \(-0.579932\pi\) | ||||
−0.248484 | + | 0.968636i | \(0.579932\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −12.2888 | −0.667437 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −26.6811 | −1.44486 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −9.75379 | −0.525126 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 9.06897 | 0.486848 | 0.243424 | − | 0.969920i | \(-0.421729\pi\) | ||||
0.243424 | + | 0.969920i | \(0.421729\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.2705 | −1.40623 | −0.703113 | − | 0.711078i | \(-0.748207\pi\) | ||||
−0.703113 | + | 0.711078i | \(0.748207\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 16.0000 | 0.854017 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 24.2462 | 1.29050 | 0.645248 | − | 0.763973i | \(-0.276754\pi\) | ||||
0.645248 | + | 0.763973i | \(0.276754\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 26.6811 | 1.41608 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.87285 | −0.0991219 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 6.63068 | 0.349954 | 0.174977 | − | 0.984573i | \(-0.444015\pi\) | ||||
0.174977 | + | 0.984573i | \(0.444015\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.1231 | −0.953848 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.78554 | −0.356149 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 20.0108 | 1.04741 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.24621 | −0.326050 | −0.163025 | − | 0.986622i | \(-0.552125\pi\) | ||||
−0.163025 | + | 0.986622i | \(0.552125\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −26.0000 | −1.35351 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −8.54312 | −0.443537 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.2888 | 0.636291 | 0.318146 | − | 0.948042i | \(-0.396940\pi\) | ||||
0.318146 | + | 0.948042i | \(0.396940\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −3.50758 | −0.181131 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 6.24621 | 0.321696 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −23.4612 | −1.20512 | −0.602561 | − | 0.798073i | \(-0.705853\pi\) | ||||
−0.602561 | + | 0.798073i | \(0.705853\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.56685 | −0.233967 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 28.4924 | 1.45589 | 0.727947 | − | 0.685633i | \(-0.240474\pi\) | ||||
0.727947 | + | 0.685633i | \(0.240474\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −14.2462 | −0.726054 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 9.06897 | 0.461002 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 7.72197 | 0.391519 | 0.195760 | − | 0.980652i | \(-0.437283\pi\) | ||||
0.195760 | + | 0.980652i | \(0.437283\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.24621 | 0.315884 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.61553 | 0.182379 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −12.9300 | −0.648936 | −0.324468 | − | 0.945897i | \(-0.605185\pi\) | ||||
−0.324468 | + | 0.945897i | \(0.605185\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.876894 | 0.0438996 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9.12311 | −0.455586 | −0.227793 | − | 0.973710i | \(-0.573151\pi\) | ||||
−0.227793 | + | 0.973710i | \(0.573151\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 20.8319 | 1.03771 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 6.25969 | 0.311047 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −8.00000 | −0.396545 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −26.0000 | −1.28562 | −0.642809 | − | 0.766027i | \(-0.722231\pi\) | ||||
−0.642809 | + | 0.766027i | \(0.722231\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.230559 | 0.0113726 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 7.60669 | 0.374301 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 31.6155 | 1.55195 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −16.8769 | −0.826465 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.78554 | −0.331495 | −0.165748 | − | 0.986168i | \(-0.553004\pi\) | ||||
−0.165748 | + | 0.986168i | \(0.553004\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −16.0345 | −0.781475 | −0.390738 | − | 0.920502i | \(-0.627780\pi\) | ||||
−0.390738 | + | 0.920502i | \(0.627780\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 12.2462 | 0.594029 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.33513 | 0.161398 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 13.3405 | 0.644087 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −23.6155 | −1.13752 | −0.568760 | − | 0.822504i | \(-0.692577\pi\) | ||||
−0.568760 | + | 0.822504i | \(0.692577\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 14.4924 | 0.696461 | 0.348231 | − | 0.937409i | \(-0.386783\pi\) | ||||
0.348231 | + | 0.937409i | \(0.386783\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.84912 | −0.280444 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −2.92456 | −0.139901 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 26.7386 | 1.27617 | 0.638083 | − | 0.769968i | \(-0.279728\pi\) | ||||
0.638083 | + | 0.769968i | \(0.279728\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.12311 | −0.101100 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.14441 | 0.291930 | 0.145965 | − | 0.989290i | \(-0.453371\pi\) | ||||
0.145965 | + | 0.989290i | \(0.453371\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.821147 | −0.0389261 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −11.5076 | −0.544290 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −32.7386 | −1.54503 | −0.772516 | − | 0.634996i | \(-0.781002\pi\) | ||||
−0.772516 | + | 0.634996i | \(0.781002\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −52.3104 | −2.46320 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 17.9074 | 0.841362 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 11.1231 | 0.521459 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.36932 | 0.344722 | 0.172361 | − | 0.985034i | \(-0.444860\pi\) | ||||
0.172361 | + | 0.985034i | \(0.444860\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 9.59482 | 0.447848 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 34.5830 | 1.61069 | 0.805346 | − | 0.592805i | \(-0.201979\pi\) | ||||
0.805346 | + | 0.592805i | \(0.201979\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −19.5076 | −0.904642 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.936426 | −0.0433326 | −0.0216663 | − | 0.999765i | \(-0.506897\pi\) | ||||
−0.0216663 | + | 0.999765i | \(0.506897\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −15.7392 | −0.726770 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −15.6155 | −0.719526 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 18.2462 | 0.838962 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.73384 | −0.263087 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 18.1379 | 0.830479 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −6.24621 | −0.285397 | −0.142698 | − | 0.989766i | \(-0.545578\pi\) | ||||
−0.142698 | + | 0.989766i | \(0.545578\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.24621 | 0.284803 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −2.92456 | −0.133072 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −14.1617 | −0.643049 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.3693 | −1.14959 | −0.574797 | − | 0.818296i | \(-0.694919\pi\) | ||||
−0.574797 | + | 0.818296i | \(0.694919\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −7.50758 | −0.339504 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −22.1789 | −1.00092 | −0.500461 | − | 0.865759i | \(-0.666836\pi\) | ||||
−0.500461 | + | 0.865759i | \(0.666836\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.74571 | 0.168698 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 30.2462 | 1.35947 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 8.00000 | 0.358849 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 24.2824 | 1.08703 | 0.543514 | − | 0.839400i | \(-0.317094\pi\) | ||||
0.543514 | + | 0.839400i | \(0.317094\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 7.49141 | 0.334692 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −30.2462 | −1.34861 | −0.674306 | − | 0.738452i | \(-0.735557\pi\) | ||||
−0.674306 | + | 0.738452i | \(0.735557\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −23.6155 | −1.05088 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.75757 | 0.0780566 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 32.9407 | 1.46007 | 0.730036 | − | 0.683408i | \(-0.239503\pi\) | ||||
0.730036 | + | 0.683408i | \(0.239503\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.00000 | 0.265424 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.49242 | −0.198345 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 47.5130 | 2.09367 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 16.3845 | 0.719198 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 22.0000 | 0.963837 | 0.481919 | − | 0.876216i | \(-0.339940\pi\) | ||||
0.481919 | + | 0.876216i | \(0.339940\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 35.9300 | 1.57111 | 0.785555 | − | 0.618791i | \(-0.212377\pi\) | ||||
0.785555 | + | 0.618791i | \(0.212377\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −5.73384 | −0.250245 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 12.4924 | 0.544178 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.2462 | −0.575922 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −16.1498 | −0.700842 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 40.8427 | 1.76910 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −24.0000 | −1.03761 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 2.24621 | 0.0969312 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −4.27156 | −0.183989 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −42.7156 | −1.83649 | −0.918243 | − | 0.396017i | \(-0.870392\pi\) | ||||
−0.918243 | + | 0.396017i | \(0.870392\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −12.8769 | −0.552600 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −18.7386 | −0.802675 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −39.4957 | −1.68872 | −0.844358 | − | 0.535780i | \(-0.820018\pi\) | ||||
−0.844358 | + | 0.535780i | \(0.820018\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −7.08084 | −0.302203 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.75379 | −0.0747139 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5.84912 | −0.248281 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −8.54312 | −0.361983 | −0.180992 | − | 0.983485i | \(-0.557931\pi\) | ||||
−0.180992 | + | 0.983485i | \(0.557931\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −14.2462 | −0.602551 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.00000 | 0.337760 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 16.9710 | 0.715240 | 0.357620 | − | 0.933867i | \(-0.383588\pi\) | ||||
0.357620 | + | 0.933867i | \(0.383588\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 43.7673 | 1.84130 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.87689 | 0.0788222 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −11.3693 | −0.476627 | −0.238313 | − | 0.971188i | \(-0.576595\pi\) | ||||
−0.238313 | + | 0.971188i | \(0.576595\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 29.9009 | 1.25131 | 0.625657 | − | 0.780098i | \(-0.284831\pi\) | ||||
0.625657 | + | 0.780098i | \(0.284831\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −14.9828 | −0.625916 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 19.1231 | 0.797489 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 24.2462 | 1.00938 | 0.504691 | − | 0.863300i | \(-0.331606\pi\) | ||||
0.504691 | + | 0.863300i | \(0.331606\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 2.69400 | 0.111959 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 9.47954 | 0.393278 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 36.4924 | 1.51136 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −23.6155 | −0.976382 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −8.65840 | −0.357370 | −0.178685 | − | 0.983906i | \(-0.557184\pi\) | ||||
−0.178685 | + | 0.983906i | \(0.557184\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.84912 | −0.241009 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.984845 | 0.0405111 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 18.0000 | 0.739171 | 0.369586 | − | 0.929197i | \(-0.379500\pi\) | ||||
0.369586 | + | 0.929197i | \(0.379500\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.67026 | 0.273454 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −1.64229 | −0.0672146 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −20.4924 | −0.837298 | −0.418649 | − | 0.908148i | \(-0.637496\pi\) | ||||
−0.418649 | + | 0.908148i | \(0.637496\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.246211 | −0.0100432 | −0.00502158 | − | 0.999987i | \(-0.501598\pi\) | ||||
−0.00502158 | + | 0.999987i | \(0.501598\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 33.4161 | 1.36081 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 24.1671 | 0.982531 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −24.9848 | −1.01410 | −0.507052 | − | 0.861916i | \(-0.669265\pi\) | ||||
−0.507052 | + | 0.861916i | \(0.669265\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −1.75379 | −0.0710671 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −45.6401 | −1.84339 | −0.921694 | − | 0.387918i | \(-0.873194\pi\) | ||||
−0.921694 | + | 0.387918i | \(0.873194\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −38.2462 | −1.54224 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 4.63068 | 0.186424 | 0.0932121 | − | 0.995646i | \(-0.470287\pi\) | ||||
0.0932121 | + | 0.995646i | \(0.470287\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −36.9817 | −1.48642 | −0.743211 | − | 0.669057i | \(-0.766698\pi\) | ||||
−0.743211 | + | 0.669057i | \(0.766698\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 14.9828 | 0.601240 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −0.246211 | −0.00986425 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −18.1231 | −0.724924 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.74571 | −0.149589 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.74571 | 0.149351 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 36.4924 | 1.45274 | 0.726370 | − | 0.687304i | \(-0.241206\pi\) | ||||
0.726370 | + | 0.687304i | \(0.241206\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 2.24621 | 0.0892789 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 16.2651 | 0.645460 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.33513 | 0.132143 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −16.9848 | −0.671910 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 19.3693 | 0.765042 | 0.382521 | − | 0.923947i | \(-0.375056\pi\) | ||||
0.382521 | + | 0.923947i | \(0.375056\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.47954 | 0.373837 | 0.186918 | − | 0.982375i | \(-0.440150\pi\) | ||||
0.186918 | + | 0.982375i | \(0.440150\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 13.3405 | 0.525283 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 39.2311 | 1.54233 | 0.771166 | − | 0.636634i | \(-0.219674\pi\) | ||||
0.771166 | + | 0.636634i | \(0.219674\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −32.4924 | −1.27544 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −5.84912 | −0.229245 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 21.0625 | 0.824239 | 0.412120 | − | 0.911130i | \(-0.364789\pi\) | ||||
0.412120 | + | 0.911130i | \(0.364789\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.8769 | −0.503142 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −12.7386 | −0.496981 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 21.3578 | 0.831981 | 0.415991 | − | 0.909369i | \(-0.363435\pi\) | ||||
0.415991 | + | 0.909369i | \(0.363435\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.43854 | −0.211535 | −0.105767 | − | 0.994391i | \(-0.533730\pi\) | ||||
−0.105767 | + | 0.994391i | \(0.533730\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −6.24621 | −0.242583 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3.12311 | −0.121109 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.84912 | 0.226479 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 20.8319 | 0.805409 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −14.2462 | −0.549969 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 26.9848 | 1.04019 | 0.520095 | − | 0.854109i | \(-0.325897\pi\) | ||||
0.520095 | + | 0.854109i | \(0.325897\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 29.3751 | 1.13065 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.25969 | 0.240579 | 0.120290 | − | 0.992739i | \(-0.461618\pi\) | ||||
0.120290 | + | 0.992739i | \(0.461618\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.24621 | −0.162955 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −11.6155 | −0.445108 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 19.4849 | 0.745570 | 0.372785 | − | 0.927918i | \(-0.378403\pi\) | ||||
0.372785 | + | 0.927918i | \(0.378403\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.821147 | −0.0313744 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.89205 | 0.148491 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −28.4924 | −1.08547 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 42.0097 | 1.59812 | 0.799062 | − | 0.601248i | \(-0.205330\pi\) | ||||
0.799062 | + | 0.601248i | \(0.205330\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 9.06897 | 0.344502 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 60.1080 | 2.28002 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 24.4924 | 0.927717 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.230559 | 0.00872053 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −45.6401 | −1.72380 | −0.861902 | − | 0.507075i | \(-0.830727\pi\) | ||||
−0.861902 | + | 0.507075i | \(0.830727\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.75379 | −0.0661454 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −7.08084 | −0.266302 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −39.7910 | −1.49438 | −0.747192 | − | 0.664609i | \(-0.768598\pi\) | ||||
−0.747192 | + | 0.664609i | \(0.768598\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 19.5076 | 0.730565 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −47.5130 | −1.77689 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −22.1142 | −0.825870 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −19.5076 | −0.727510 | −0.363755 | − | 0.931495i | \(-0.618505\pi\) | ||||
−0.363755 | + | 0.931495i | \(0.618505\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.2462 | 0.530557 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 18.9591 | 0.705096 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 11.4677 | 0.425899 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −48.9848 | −1.81675 | −0.908374 | − | 0.418159i | \(-0.862675\pi\) | ||||
−0.908374 | + | 0.418159i | \(0.862675\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 9.49242 | 0.351571 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −8.54312 | −0.315979 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.51398 | −0.0928562 | −0.0464281 | − | 0.998922i | \(-0.514784\pi\) | ||||
−0.0464281 | + | 0.998922i | \(0.514784\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.12311 | −0.115197 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 67.2311 | 2.47649 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −33.6466 | −1.23771 | −0.618855 | − | 0.785505i | \(-0.712403\pi\) | ||||
−0.618855 | + | 0.785505i | \(0.712403\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.92456 | 0.107436 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −25.3693 | −0.930710 | −0.465355 | − | 0.885124i | \(-0.654073\pi\) | ||||
−0.465355 | + | 0.885124i | \(0.654073\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 40.9848 | 1.50157 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −20.1261 | −0.736374 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −7.19612 | −0.262940 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 33.3693 | 1.21766 | 0.608832 | − | 0.793299i | \(-0.291638\pi\) | ||||
0.608832 | + | 0.793299i | \(0.291638\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 24.8769 | 0.906564 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −63.7781 | −2.32112 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −38.1487 | −1.38654 | −0.693270 | − | 0.720678i | \(-0.743830\pi\) | ||||
−0.693270 | + | 0.720678i | \(0.743830\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 12.4924 | 0.453446 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 40.7386 | 1.47677 | 0.738387 | − | 0.674377i | \(-0.235588\pi\) | ||||
0.738387 | + | 0.674377i | \(0.235588\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.61856 | −0.203405 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −14.1617 | −0.512016 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 25.3693 | 0.916033 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −23.7538 | −0.856584 | −0.428292 | − | 0.903641i | \(-0.640884\pi\) | ||||
−0.428292 | + | 0.903641i | \(0.640884\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.82538 | 0.353852 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 3.33513 | 0.119956 | 0.0599782 | − | 0.998200i | \(-0.480897\pi\) | ||||
0.0599782 | + | 0.998200i | \(0.480897\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 38.2462 | 1.37384 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.75379 | −0.0629168 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −11.4677 | −0.410872 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −34.1725 | −1.22279 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 8.98485 | 0.321092 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 55.6155 | 1.98500 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −27.6175 | −0.984457 | −0.492228 | − | 0.870466i | \(-0.663818\pi\) | ||||
−0.492228 | + | 0.870466i | \(0.663818\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −19.1896 | −0.683169 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 13.1231 | 0.466604 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 11.1231 | 0.394993 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 26.6811 | 0.946280 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −4.15628 | −0.147223 | −0.0736115 | − | 0.997287i | \(-0.523452\pi\) | ||||
−0.0736115 | + | 0.997287i | \(0.523452\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.522732 | 0.0184698 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −25.6294 | −0.904440 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.4160 | 0.367115 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 21.8617 | 0.769570 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 19.8617 | 0.698302 | 0.349151 | − | 0.937067i | \(-0.386470\pi\) | ||||
0.349151 | + | 0.937067i | \(0.386470\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 10.5312 | 0.369802 | 0.184901 | − | 0.982757i | \(-0.440804\pi\) | ||||
0.184901 | + | 0.982757i | \(0.440804\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.84912 | 0.205137 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 26.7386 | 0.936613 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.00000 | 0.139942 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −7.08084 | −0.247424 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −2.69400 | −0.0940212 | −0.0470106 | − | 0.998894i | \(-0.514969\pi\) | ||||
−0.0470106 | + | 0.998894i | \(0.514969\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −32.9848 | −1.14978 | −0.574890 | − | 0.818231i | \(-0.694955\pi\) | ||||
−0.574890 | + | 0.818231i | \(0.694955\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 24.4924 | 0.852717 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 32.8255 | 1.14145 | 0.570727 | − | 0.821140i | \(-0.306662\pi\) | ||||
0.570727 | + | 0.821140i | \(0.306662\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 18.3180 | 0.636209 | 0.318104 | − | 0.948056i | \(-0.396954\pi\) | ||||
0.318104 | + | 0.948056i | \(0.396954\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 8.00000 | 0.277517 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.00000 | 0.0692959 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −26.6811 | −0.923336 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 29.9656 | 1.03576 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −42.7386 | −1.47550 | −0.737751 | − | 0.675073i | \(-0.764112\pi\) | ||||
−0.737751 | + | 0.675073i | \(0.764112\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.4924 | −0.879049 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −5.61856 | −0.193513 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −6.25969 | −0.215340 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.24621 | 0.248983 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 8.10795 | 0.278264 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 5.84912 | 0.200505 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −50.0270 | −1.71289 | −0.856446 | − | 0.516237i | \(-0.827332\pi\) | ||||
−0.856446 | + | 0.516237i | \(0.827332\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 6.63068 | 0.226765 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −18.9848 | −0.648510 | −0.324255 | − | 0.945970i | \(-0.605114\pi\) | ||||
−0.324255 | + | 0.945970i | \(0.605114\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −47.3977 | −1.61719 | −0.808595 | − | 0.588366i | \(-0.799771\pi\) | ||||
−0.808595 | + | 0.588366i | \(0.799771\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −11.4677 | −0.390817 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 3.50758 | 0.119399 | 0.0596997 | − | 0.998216i | \(-0.480986\pi\) | ||||
0.0596997 | + | 0.998216i | \(0.480986\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −58.3542 | −1.98410 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 12.1735 | 0.413435 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −52.4924 | −1.77864 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 9.01515 | 0.305117 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 3.74571 | 0.126628 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −26.4505 | −0.893170 | −0.446585 | − | 0.894741i | \(-0.647360\pi\) | ||||
−0.446585 | + | 0.894741i | \(0.647360\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 6.63068 | 0.223647 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 27.7538 | 0.935049 | 0.467524 | − | 0.883980i | \(-0.345146\pi\) | ||||
0.467524 | + | 0.883980i | \(0.345146\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.39871 | −0.0807229 | −0.0403614 | − | 0.999185i | \(-0.512851\pi\) | ||||
−0.0403614 | + | 0.999185i | \(0.512851\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −23.7565 | −0.798566 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −4.49242 | −0.150841 | −0.0754204 | − | 0.997152i | \(-0.524030\pi\) | ||||
−0.0754204 | + | 0.997152i | \(0.524030\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.87689 | 0.163566 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −8.01726 | −0.268588 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −8.00000 | −0.267411 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −9.75379 | −0.325670 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 11.6982 | 0.390158 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −17.0862 | −0.569225 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.00000 | 0.133112 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 45.8617 | 1.52450 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −43.0109 | −1.42815 | −0.714076 | − | 0.700068i | \(-0.753153\pi\) | ||||
−0.714076 | + | 0.700068i | \(0.753153\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 15.0334 | 0.498625 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −45.8617 | −1.51947 | −0.759734 | − | 0.650234i | \(-0.774671\pi\) | ||||
−0.759734 | + | 0.650234i | \(0.774671\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −40.4924 | −1.34010 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −10.4160 | −0.344341 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −3.86098 | −0.127501 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −8.00000 | −0.263896 | −0.131948 | − | 0.991257i | \(-0.542123\pi\) | ||||
−0.131948 | + | 0.991257i | \(0.542123\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −14.3542 | −0.472986 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 26.6811 | 0.878218 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.4677 | 0.377055 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −30.2462 | −0.993416 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 30.4924 | 1.00042 | 0.500212 | − | 0.865903i | \(-0.333255\pi\) | ||||
0.500212 | + | 0.865903i | \(0.333255\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.936426 | −0.0306901 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 19.1896 | 0.628241 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −28.4924 | −0.931802 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 30.9848 | 1.01223 | 0.506115 | − | 0.862466i | \(-0.331081\pi\) | ||||
0.506115 | + | 0.862466i | \(0.331081\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 26.9116 | 0.878227 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 32.9407 | 1.07384 | 0.536919 | − | 0.843634i | \(-0.319588\pi\) | ||||
0.536919 | + | 0.843634i | \(0.319588\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 38.2462 | 1.24547 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 16.0000 | 0.520480 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.37497 | 0.207159 | 0.103579 | − | 0.994621i | \(-0.466970\pi\) | ||||
0.103579 | + | 0.994621i | \(0.466970\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 20.0108 | 0.649578 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 20.4924 | 0.664512 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 50.4924 | 1.63561 | 0.817805 | − | 0.575495i | \(-0.195191\pi\) | ||||
0.817805 | + | 0.575495i | \(0.195191\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 53.3621 | 1.72676 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 7.49141 | 0.242163 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −0.246211 | −0.00795058 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.01515 | 0.258553 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 15.2781 | 0.492330 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −9.59482 | −0.308868 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 19.1231 | 0.614958 | 0.307479 | − | 0.951555i | \(-0.400515\pi\) | ||||
0.307479 | + | 0.951555i | \(0.400515\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1.75379 | 0.0563398 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −26.5658 | −0.852536 | −0.426268 | − | 0.904597i | \(-0.640172\pi\) | ||||
−0.426268 | + | 0.904597i | \(0.640172\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 18.0227 | 0.577780 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −19.1231 | −0.612430 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 40.2462 | 1.28759 | 0.643795 | − | 0.765198i | \(-0.277359\pi\) | ||||
0.643795 | + | 0.765198i | \(0.277359\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.05171 | 0.0336127 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 11.9288 | 0.380857 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 17.7538 | 0.566258 | 0.283129 | − | 0.959082i | \(-0.408628\pi\) | ||||
0.283129 | + | 0.959082i | \(0.408628\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.50758 | −0.111761 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −13.3405 | −0.424204 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.50758 | −0.111422 | −0.0557109 | − | 0.998447i | \(-0.517743\pi\) | ||||
−0.0557109 | + | 0.998447i | \(0.517743\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −20.9848 | −0.665934 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.84912 | 0.185429 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 44.9990 | 1.42513 | 0.712566 | − | 0.701605i | \(-0.247533\pi\) | ||||
0.712566 | + | 0.701605i | \(0.247533\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 8.98485 | 0.284268 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))