Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [8649,2,Mod(1,8649)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(8649, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([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("8649.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 8649 = 3^{2} \cdot 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8649.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: | \(69.0626127082\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 24x^{14} + 220x^{12} - 992x^{10} + 2366x^{8} - 2944x^{6} + 1688x^{4} - 288x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 961) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.6 | ||
Root | \(1.86943\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 8649.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.124175 | −0.0878047 | −0.0439024 | − | 0.999036i | \(-0.513979\pi\) | ||||
−0.0439024 | + | 0.999036i | \(0.513979\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.98458 | −0.992290 | ||||||||
\(5\) | 1.22944 | 0.549824 | 0.274912 | − | 0.961469i | \(-0.411351\pi\) | ||||
0.274912 | + | 0.961469i | \(0.411351\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.66703 | 1.00804 | 0.504021 | − | 0.863692i | \(-0.331854\pi\) | ||||
0.504021 | + | 0.863692i | \(0.331854\pi\) | |||||||
\(8\) | 0.494784 | 0.174933 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.152666 | −0.0482772 | ||||||||
\(11\) | 5.63192 | 1.69809 | 0.849044 | − | 0.528322i | \(-0.177179\pi\) | ||||
0.849044 | + | 0.528322i | \(0.177179\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0134654 | −0.00373463 | −0.00186731 | − | 0.999998i | \(-0.500594\pi\) | ||||
−0.00186731 | + | 0.999998i | \(0.500594\pi\) | |||||||
\(14\) | −0.331177 | −0.0885108 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.90772 | 0.976930 | ||||||||
\(17\) | −3.54485 | −0.859753 | −0.429876 | − | 0.902888i | \(-0.641443\pi\) | ||||
−0.429876 | + | 0.902888i | \(0.641443\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.96385 | −1.36820 | −0.684101 | − | 0.729388i | \(-0.739805\pi\) | ||||
−0.684101 | + | 0.729388i | \(0.739805\pi\) | |||||||
\(20\) | −2.43993 | −0.545585 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.699342 | −0.149100 | ||||||||
\(23\) | 4.08969 | 0.852759 | 0.426380 | − | 0.904544i | \(-0.359789\pi\) | ||||
0.426380 | + | 0.904544i | \(0.359789\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.48847 | −0.697693 | ||||||||
\(26\) | 0.00167206 | 0.000327918 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.29293 | −1.00027 | ||||||||
\(29\) | 2.96497 | 0.550581 | 0.275290 | − | 0.961361i | \(-0.411226\pi\) | ||||
0.275290 | + | 0.961361i | \(0.411226\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | −1.47481 | −0.260712 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.440181 | 0.0754903 | ||||||||
\(35\) | 3.27896 | 0.554246 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 10.6352 | 1.74842 | 0.874211 | − | 0.485546i | \(-0.161379\pi\) | ||||
0.874211 | + | 0.485546i | \(0.161379\pi\) | |||||||
\(38\) | 0.740559 | 0.120135 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.608309 | 0.0961822 | ||||||||
\(41\) | 7.14473 | 1.11582 | 0.557910 | − | 0.829902i | \(-0.311604\pi\) | ||||
0.557910 | + | 0.829902i | \(0.311604\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.17563 | −0.484279 | −0.242139 | − | 0.970241i | \(-0.577849\pi\) | ||||
−0.242139 | + | 0.970241i | \(0.577849\pi\) | |||||||
\(44\) | −11.1770 | −1.68500 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.507836 | −0.0748763 | ||||||||
\(47\) | 9.81029 | 1.43098 | 0.715489 | − | 0.698624i | \(-0.246204\pi\) | ||||
0.715489 | + | 0.698624i | \(0.246204\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.113032 | 0.0161475 | ||||||||
\(50\) | 0.433179 | 0.0612608 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.0267232 | 0.00370584 | ||||||||
\(53\) | −7.90828 | −1.08629 | −0.543143 | − | 0.839640i | \(-0.682766\pi\) | ||||
−0.543143 | + | 0.839640i | \(0.682766\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.92413 | 0.933650 | ||||||||
\(56\) | 1.31960 | 0.176339 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.368174 | −0.0483436 | ||||||||
\(59\) | 10.3909 | 1.35278 | 0.676392 | − | 0.736542i | \(-0.263543\pi\) | ||||
0.676392 | + | 0.736542i | \(0.263543\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.70951 | 0.474954 | 0.237477 | − | 0.971393i | \(-0.423680\pi\) | ||||
0.237477 | + | 0.971393i | \(0.423680\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.63231 | −0.954039 | ||||||||
\(65\) | −0.0165550 | −0.00205339 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.56973 | 0.436112 | 0.218056 | − | 0.975936i | \(-0.430028\pi\) | ||||
0.218056 | + | 0.975936i | \(0.430028\pi\) | |||||||
\(68\) | 7.03504 | 0.853124 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.407164 | −0.0486654 | ||||||||
\(71\) | −3.76169 | −0.446430 | −0.223215 | − | 0.974769i | \(-0.571655\pi\) | ||||
−0.223215 | + | 0.974769i | \(0.571655\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.55021 | −0.415520 | −0.207760 | − | 0.978180i | \(-0.566617\pi\) | ||||
−0.207760 | + | 0.978180i | \(0.566617\pi\) | |||||||
\(74\) | −1.32063 | −0.153520 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 11.8357 | 1.35765 | ||||||||
\(77\) | 15.0205 | 1.71174 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.25987 | −0.366765 | −0.183382 | − | 0.983042i | \(-0.558705\pi\) | ||||
−0.183382 | + | 0.983042i | \(0.558705\pi\) | |||||||
\(80\) | 4.80433 | 0.537140 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.887194 | −0.0979742 | ||||||||
\(83\) | −2.07024 | −0.227238 | −0.113619 | − | 0.993524i | \(-0.536244\pi\) | ||||
−0.113619 | + | 0.993524i | \(0.536244\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.35820 | −0.472713 | ||||||||
\(86\) | 0.394333 | 0.0425220 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.78658 | 0.297051 | ||||||||
\(89\) | −8.80431 | −0.933255 | −0.466627 | − | 0.884454i | \(-0.654531\pi\) | ||||
−0.466627 | + | 0.884454i | \(0.654531\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0359126 | −0.00376466 | ||||||||
\(92\) | −8.11632 | −0.846185 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.21819 | −0.125647 | ||||||||
\(95\) | −7.33223 | −0.752271 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.38749 | 0.343948 | 0.171974 | − | 0.985101i | \(-0.444986\pi\) | ||||
0.171974 | + | 0.985101i | \(0.444986\pi\) | |||||||
\(98\) | −0.0140358 | −0.00141783 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.92314 | 0.692314 | ||||||||
\(101\) | 8.66837 | 0.862535 | 0.431267 | − | 0.902224i | \(-0.358067\pi\) | ||||
0.431267 | + | 0.902224i | \(0.358067\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.68096 | 0.264163 | 0.132081 | − | 0.991239i | \(-0.457834\pi\) | ||||
0.132081 | + | 0.991239i | \(0.457834\pi\) | |||||||
\(104\) | −0.00666246 | −0.000653308 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.982008 | 0.0953811 | ||||||||
\(107\) | 7.97570 | 0.771040 | 0.385520 | − | 0.922700i | \(-0.374022\pi\) | ||||
0.385520 | + | 0.922700i | \(0.374022\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.29895 | 0.603330 | 0.301665 | − | 0.953414i | \(-0.402458\pi\) | ||||
0.301665 | + | 0.953414i | \(0.402458\pi\) | |||||||
\(110\) | −0.859802 | −0.0819789 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 10.4220 | 0.984786 | ||||||||
\(113\) | 2.74728 | 0.258442 | 0.129221 | − | 0.991616i | \(-0.458752\pi\) | ||||
0.129221 | + | 0.991616i | \(0.458752\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.02805 | 0.468868 | ||||||||
\(116\) | −5.88422 | −0.546336 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.29029 | −0.118781 | ||||||||
\(119\) | −9.45421 | −0.866666 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 20.7185 | 1.88350 | ||||||||
\(122\) | −0.460627 | −0.0417032 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −10.4361 | −0.933433 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.73534 | 0.153986 | 0.0769931 | − | 0.997032i | \(-0.475468\pi\) | ||||
0.0769931 | + | 0.997032i | \(0.475468\pi\) | |||||||
\(128\) | 3.89735 | 0.344481 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.00205571 | 0.000180297 0 | ||||||||
\(131\) | −7.06939 | −0.617656 | −0.308828 | − | 0.951118i | \(-0.599937\pi\) | ||||
−0.308828 | + | 0.951118i | \(0.599937\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −15.9058 | −1.37920 | ||||||||
\(134\) | −0.443270 | −0.0382927 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.75394 | −0.150399 | ||||||||
\(137\) | 9.53710 | 0.814809 | 0.407405 | − | 0.913248i | \(-0.366434\pi\) | ||||
0.407405 | + | 0.913248i | \(0.366434\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.3484 | 1.13220 | 0.566098 | − | 0.824338i | \(-0.308453\pi\) | ||||
0.566098 | + | 0.824338i | \(0.308453\pi\) | |||||||
\(140\) | −6.50737 | −0.549973 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.467106 | 0.0391987 | ||||||||
\(143\) | −0.0758360 | −0.00634173 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.64526 | 0.302723 | ||||||||
\(146\) | 0.440846 | 0.0364846 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −21.1065 | −1.73494 | ||||||||
\(149\) | −18.1985 | −1.49088 | −0.745440 | − | 0.666573i | \(-0.767761\pi\) | ||||
−0.745440 | + | 0.666573i | \(0.767761\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.59561 | −0.536743 | −0.268371 | − | 0.963316i | \(-0.586485\pi\) | ||||
−0.268371 | + | 0.963316i | \(0.586485\pi\) | |||||||
\(152\) | −2.95082 | −0.239343 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.86516 | −0.150299 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 15.7251 | 1.25500 | 0.627502 | − | 0.778615i | \(-0.284078\pi\) | ||||
0.627502 | + | 0.778615i | \(0.284078\pi\) | |||||||
\(158\) | 0.404794 | 0.0322037 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.81319 | −0.143346 | ||||||||
\(161\) | 10.9073 | 0.859617 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.19636 | −0.563663 | −0.281831 | − | 0.959464i | \(-0.590942\pi\) | ||||
−0.281831 | + | 0.959464i | \(0.590942\pi\) | |||||||
\(164\) | −14.1793 | −1.10722 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.257071 | 0.0199526 | ||||||||
\(167\) | −20.4703 | −1.58404 | −0.792018 | − | 0.610498i | \(-0.790969\pi\) | ||||
−0.792018 | + | 0.610498i | \(0.790969\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9998 | −0.999986 | ||||||||
\(170\) | 0.541178 | 0.0415064 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.30229 | 0.480545 | ||||||||
\(173\) | 21.0674 | 1.60173 | 0.800863 | − | 0.598848i | \(-0.204375\pi\) | ||||
0.800863 | + | 0.598848i | \(0.204375\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.30383 | −0.703304 | ||||||||
\(176\) | 22.0080 | 1.65891 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.09327 | 0.0819442 | ||||||||
\(179\) | −10.4789 | −0.783231 | −0.391615 | − | 0.920129i | \(-0.628084\pi\) | ||||
−0.391615 | + | 0.920129i | \(0.628084\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.53710 | 0.708887 | 0.354443 | − | 0.935077i | \(-0.384670\pi\) | ||||
0.354443 | + | 0.935077i | \(0.384670\pi\) | |||||||
\(182\) | 0.00445943 | 0.000330555 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.02351 | 0.149175 | ||||||||
\(185\) | 13.0754 | 0.961325 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −19.9643 | −1.45994 | ||||||||
\(188\) | −19.4693 | −1.41994 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.910477 | 0.0660529 | ||||||||
\(191\) | 10.0046 | 0.723905 | 0.361952 | − | 0.932197i | \(-0.382110\pi\) | ||||
0.361952 | + | 0.932197i | \(0.382110\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −20.6806 | −1.48862 | −0.744310 | − | 0.667835i | \(-0.767221\pi\) | ||||
−0.744310 | + | 0.667835i | \(0.767221\pi\) | |||||||
\(194\) | −0.420641 | −0.0302003 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.224322 | −0.0160230 | ||||||||
\(197\) | −0.753285 | −0.0536693 | −0.0268347 | − | 0.999640i | \(-0.508543\pi\) | ||||
−0.0268347 | + | 0.999640i | \(0.508543\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.89063 | −0.701128 | −0.350564 | − | 0.936539i | \(-0.614010\pi\) | ||||
−0.350564 | + | 0.936539i | \(0.614010\pi\) | |||||||
\(200\) | −1.72604 | −0.122049 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.07639 | −0.0757346 | ||||||||
\(203\) | 7.90765 | 0.555008 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.78405 | 0.613505 | ||||||||
\(206\) | −0.332907 | −0.0231947 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.0526190 | −0.00364847 | ||||||||
\(209\) | −33.5879 | −2.32333 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.0629 | 0.968128 | 0.484064 | − | 0.875033i | \(-0.339160\pi\) | ||||
0.484064 | + | 0.875033i | \(0.339160\pi\) | |||||||
\(212\) | 15.6946 | 1.07791 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.990379 | −0.0677009 | ||||||||
\(215\) | −3.90426 | −0.266268 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −0.782170 | −0.0529753 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −13.7415 | −0.926452 | ||||||||
\(221\) | 0.0477328 | 0.00321086 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.89557 | −0.662656 | −0.331328 | − | 0.943516i | \(-0.607497\pi\) | ||||
−0.331328 | + | 0.943516i | \(0.607497\pi\) | |||||||
\(224\) | −3.93335 | −0.262808 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.341142 | −0.0226924 | ||||||||
\(227\) | −9.40457 | −0.624204 | −0.312102 | − | 0.950049i | \(-0.601033\pi\) | ||||
−0.312102 | + | 0.950049i | \(0.601033\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.7546 | 0.975011 | 0.487506 | − | 0.873120i | \(-0.337907\pi\) | ||||
0.487506 | + | 0.873120i | \(0.337907\pi\) | |||||||
\(230\) | −0.624356 | −0.0411688 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.46702 | 0.0963145 | ||||||||
\(233\) | 28.5860 | 1.87273 | 0.936365 | − | 0.351028i | \(-0.114168\pi\) | ||||
0.936365 | + | 0.351028i | \(0.114168\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 12.0612 | 0.786786 | ||||||||
\(236\) | −20.6216 | −1.34235 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.17397 | 0.0760974 | ||||||||
\(239\) | −9.00876 | −0.582729 | −0.291364 | − | 0.956612i | \(-0.594109\pi\) | ||||
−0.291364 | + | 0.956612i | \(0.594109\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.788163 | −0.0507700 | −0.0253850 | − | 0.999678i | \(-0.508081\pi\) | ||||
−0.0253850 | + | 0.999678i | \(0.508081\pi\) | |||||||
\(242\) | −2.57271 | −0.165380 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.36182 | −0.471292 | ||||||||
\(245\) | 0.138967 | 0.00887829 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0803056 | 0.00510972 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.29590 | 0.0819598 | ||||||||
\(251\) | −19.7718 | −1.24798 | −0.623992 | − | 0.781430i | \(-0.714490\pi\) | ||||
−0.623992 | + | 0.781430i | \(0.714490\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 23.0328 | 1.44806 | ||||||||
\(254\) | −0.215485 | −0.0135207 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 14.7807 | 0.923792 | ||||||||
\(257\) | 9.02462 | 0.562940 | 0.281470 | − | 0.959570i | \(-0.409178\pi\) | ||||
0.281470 | + | 0.959570i | \(0.409178\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 28.3645 | 1.76248 | ||||||||
\(260\) | 0.0328546 | 0.00203756 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.877840 | 0.0542331 | ||||||||
\(263\) | −3.12800 | −0.192881 | −0.0964403 | − | 0.995339i | \(-0.530746\pi\) | ||||
−0.0964403 | + | 0.995339i | \(0.530746\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.72280 | −0.597267 | ||||||||
\(266\) | 1.97509 | 0.121101 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −7.08441 | −0.432749 | ||||||||
\(269\) | 13.9776 | 0.852231 | 0.426115 | − | 0.904669i | \(-0.359882\pi\) | ||||
0.426115 | + | 0.904669i | \(0.359882\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.0587 | −0.854008 | −0.427004 | − | 0.904250i | \(-0.640431\pi\) | ||||
−0.427004 | + | 0.904250i | \(0.640431\pi\) | |||||||
\(272\) | −13.8523 | −0.839918 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.18427 | −0.0715441 | ||||||||
\(275\) | −19.6468 | −1.18474 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −22.0218 | −1.32316 | −0.661581 | − | 0.749874i | \(-0.730114\pi\) | ||||
−0.661581 | + | 0.749874i | \(0.730114\pi\) | |||||||
\(278\) | −1.65753 | −0.0994121 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.62238 | 0.0969556 | ||||||||
\(281\) | −2.32625 | −0.138772 | −0.0693862 | − | 0.997590i | \(-0.522104\pi\) | ||||
−0.0693862 | + | 0.997590i | \(0.522104\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.9295 | 0.828021 | 0.414010 | − | 0.910272i | \(-0.364128\pi\) | ||||
0.414010 | + | 0.910272i | \(0.364128\pi\) | |||||||
\(284\) | 7.46537 | 0.442988 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.00941691 | 0.000556834 0 | ||||||||
\(287\) | 19.0552 | 1.12479 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.43403 | −0.260825 | ||||||||
\(290\) | −0.452649 | −0.0265805 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 7.04567 | 0.412317 | ||||||||
\(293\) | −25.8604 | −1.51078 | −0.755390 | − | 0.655276i | \(-0.772552\pi\) | ||||
−0.755390 | + | 0.655276i | \(0.772552\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.7751 | 0.743794 | ||||||||
\(296\) | 5.26214 | 0.305856 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.25979 | 0.130906 | ||||||||
\(299\) | −0.0550693 | −0.00318474 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.46949 | −0.488173 | ||||||||
\(302\) | 0.819007 | 0.0471286 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −23.3051 | −1.33664 | ||||||||
\(305\) | 4.56064 | 0.261141 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.655663 | −0.0374206 | −0.0187103 | − | 0.999825i | \(-0.505956\pi\) | ||||
−0.0187103 | + | 0.999825i | \(0.505956\pi\) | |||||||
\(308\) | −29.8094 | −1.69855 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 22.0394 | 1.24974 | 0.624869 | − | 0.780730i | \(-0.285152\pi\) | ||||
0.624869 | + | 0.780730i | \(0.285152\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.51336 | −0.537727 | −0.268863 | − | 0.963178i | \(-0.586648\pi\) | ||||
−0.268863 | + | 0.963178i | \(0.586648\pi\) | |||||||
\(314\) | −1.95266 | −0.110195 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.46948 | 0.363937 | ||||||||
\(317\) | 2.09503 | 0.117669 | 0.0588343 | − | 0.998268i | \(-0.481262\pi\) | ||||
0.0588343 | + | 0.998268i | \(0.481262\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 16.6985 | 0.934934 | ||||||||
\(320\) | −9.38350 | −0.524554 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.35441 | −0.0754784 | ||||||||
\(323\) | 21.1410 | 1.17631 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.0469736 | 0.00260562 | ||||||||
\(326\) | 0.893606 | 0.0494923 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.53510 | 0.195193 | ||||||||
\(329\) | 26.1643 | 1.44248 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.50739 | −0.137819 | −0.0689093 | − | 0.997623i | \(-0.521952\pi\) | ||||
−0.0689093 | + | 0.997623i | \(0.521952\pi\) | |||||||
\(332\) | 4.10855 | 0.225486 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.54189 | 0.139086 | ||||||||
\(335\) | 4.38878 | 0.239785 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 27.2137 | 1.48242 | 0.741212 | − | 0.671271i | \(-0.234251\pi\) | ||||
0.741212 | + | 0.671271i | \(0.234251\pi\) | |||||||
\(338\) | 1.61425 | 0.0878035 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 8.64920 | 0.469069 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.3677 | −0.991764 | ||||||||
\(344\) | −1.57125 | −0.0847161 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.61604 | −0.140639 | ||||||||
\(347\) | 24.3284 | 1.30602 | 0.653010 | − | 0.757350i | \(-0.273506\pi\) | ||||
0.653010 | + | 0.757350i | \(0.273506\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.1656 | 0.651211 | 0.325605 | − | 0.945506i | \(-0.394432\pi\) | ||||
0.325605 | + | 0.945506i | \(0.394432\pi\) | |||||||
\(350\) | 1.15530 | 0.0617534 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.30600 | −0.442711 | ||||||||
\(353\) | 28.0154 | 1.49111 | 0.745556 | − | 0.666443i | \(-0.232184\pi\) | ||||
0.745556 | + | 0.666443i | \(0.232184\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.62479 | −0.245458 | ||||||||
\(356\) | 17.4729 | 0.926060 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.30122 | 0.0687714 | ||||||||
\(359\) | 24.3366 | 1.28444 | 0.642219 | − | 0.766521i | \(-0.278014\pi\) | ||||
0.642219 | + | 0.766521i | \(0.278014\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.5675 | 0.871975 | ||||||||
\(362\) | −1.18427 | −0.0622436 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.0712714 | 0.00373564 | ||||||||
\(365\) | −4.36478 | −0.228463 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.68920 | 0.0881753 | 0.0440876 | − | 0.999028i | \(-0.485962\pi\) | ||||
0.0440876 | + | 0.999028i | \(0.485962\pi\) | |||||||
\(368\) | 15.9814 | 0.833087 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.62364 | −0.0844089 | ||||||||
\(371\) | −21.0916 | −1.09502 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 24.2842 | 1.25739 | 0.628695 | − | 0.777652i | \(-0.283589\pi\) | ||||
0.628695 | + | 0.777652i | \(0.283589\pi\) | |||||||
\(374\) | 2.47906 | 0.128189 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.85397 | 0.250324 | ||||||||
\(377\) | −0.0399245 | −0.00205621 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.3445 | 0.685462 | 0.342731 | − | 0.939433i | \(-0.388648\pi\) | ||||
0.342731 | + | 0.939433i | \(0.388648\pi\) | |||||||
\(380\) | 14.5514 | 0.746471 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.24231 | −0.0635622 | ||||||||
\(383\) | 25.0445 | 1.27971 | 0.639857 | − | 0.768494i | \(-0.278994\pi\) | ||||
0.639857 | + | 0.768494i | \(0.278994\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.4669 | 0.941158 | ||||||||
\(386\) | 2.56800 | 0.130708 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −6.72276 | −0.341296 | ||||||||
\(389\) | 21.9366 | 1.11223 | 0.556115 | − | 0.831105i | \(-0.312291\pi\) | ||||
0.556115 | + | 0.831105i | \(0.312291\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −14.4973 | −0.733162 | ||||||||
\(392\) | 0.0559267 | 0.00282472 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.0935389 | 0.00471242 | ||||||||
\(395\) | −4.00784 | −0.201656 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.21630 | 0.111233 | 0.0556165 | − | 0.998452i | \(-0.482288\pi\) | ||||
0.0556165 | + | 0.998452i | \(0.482288\pi\) | |||||||
\(398\) | 1.22817 | 0.0615624 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −13.6320 | −0.681598 | ||||||||
\(401\) | −26.6696 | −1.33181 | −0.665907 | − | 0.746035i | \(-0.731955\pi\) | ||||
−0.665907 | + | 0.746035i | \(0.731955\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −17.2031 | −0.855885 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.981930 | −0.0487323 | ||||||||
\(407\) | 59.8968 | 2.96897 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 37.8777 | 1.87293 | 0.936465 | − | 0.350760i | \(-0.114077\pi\) | ||||
0.936465 | + | 0.350760i | \(0.114077\pi\) | |||||||
\(410\) | −1.09076 | −0.0538686 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.32058 | −0.262126 | ||||||||
\(413\) | 27.7129 | 1.36366 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.54524 | −0.124941 | ||||||||
\(416\) | 0.0198589 | 0.000973661 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.17077 | 0.203999 | ||||||||
\(419\) | 9.16702 | 0.447838 | 0.223919 | − | 0.974608i | \(-0.428115\pi\) | ||||
0.223919 | + | 0.974608i | \(0.428115\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.26808 | −0.159277 | −0.0796383 | − | 0.996824i | \(-0.525377\pi\) | ||||
−0.0796383 | + | 0.996824i | \(0.525377\pi\) | |||||||
\(422\) | −1.74625 | −0.0850062 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −3.91289 | −0.190027 | ||||||||
\(425\) | 12.3661 | 0.599843 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.89336 | 0.478773 | ||||||||
\(428\) | −15.8284 | −0.765095 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.484810 | 0.0233796 | ||||||||
\(431\) | 23.4706 | 1.13054 | 0.565269 | − | 0.824907i | \(-0.308772\pi\) | ||||
0.565269 | + | 0.824907i | \(0.308772\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −27.3421 | −1.31398 | −0.656990 | − | 0.753900i | \(-0.728171\pi\) | ||||
−0.656990 | + | 0.753900i | \(0.728171\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −12.5008 | −0.598679 | ||||||||
\(437\) | −24.3903 | −1.16675 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −33.0439 | −1.57710 | −0.788551 | − | 0.614970i | \(-0.789168\pi\) | ||||
−0.788551 | + | 0.614970i | \(0.789168\pi\) | |||||||
\(440\) | 3.42595 | 0.163326 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.00592720 | −0.000281928 0 | ||||||||
\(443\) | 13.3265 | 0.633162 | 0.316581 | − | 0.948566i | \(-0.397465\pi\) | ||||
0.316581 | + | 0.948566i | \(0.397465\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −10.8244 | −0.513126 | ||||||||
\(446\) | 1.22878 | 0.0581844 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −20.3556 | −0.961711 | ||||||||
\(449\) | 11.2943 | 0.533012 | 0.266506 | − | 0.963833i | \(-0.414131\pi\) | ||||
0.266506 | + | 0.963833i | \(0.414131\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 40.2385 | 1.89476 | ||||||||
\(452\) | −5.45219 | −0.256449 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.16781 | 0.0548080 | ||||||||
\(455\) | −0.0441525 | −0.00206990 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.55068 | −0.212872 | −0.106436 | − | 0.994320i | \(-0.533944\pi\) | ||||
−0.106436 | + | 0.994320i | \(0.533944\pi\) | |||||||
\(458\) | −1.83215 | −0.0856106 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −9.97857 | −0.465253 | ||||||||
\(461\) | 28.7961 | 1.34117 | 0.670585 | − | 0.741833i | \(-0.266043\pi\) | ||||
0.670585 | + | 0.741833i | \(0.266043\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.0515 | −0.560082 | −0.280041 | − | 0.959988i | \(-0.590348\pi\) | ||||
−0.280041 | + | 0.959988i | \(0.590348\pi\) | |||||||
\(464\) | 11.5863 | 0.537879 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.54965 | −0.164435 | ||||||||
\(467\) | 19.1300 | 0.885230 | 0.442615 | − | 0.896712i | \(-0.354051\pi\) | ||||
0.442615 | + | 0.896712i | \(0.354051\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 9.52056 | 0.439619 | ||||||||
\(470\) | −1.49770 | −0.0690836 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.14126 | 0.236646 | ||||||||
\(473\) | −17.8849 | −0.822348 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 20.8047 | 0.954585 | ||||||||
\(476\) | 18.7626 | 0.859985 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1.11866 | 0.0511663 | ||||||||
\(479\) | 12.2911 | 0.561593 | 0.280797 | − | 0.959767i | \(-0.409401\pi\) | ||||
0.280797 | + | 0.959767i | \(0.409401\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.143208 | −0.00652971 | ||||||||
\(482\) | 0.0978698 | 0.00445785 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −41.1176 | −1.86898 | ||||||||
\(485\) | 4.16474 | 0.189111 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.1267 | −0.685456 | −0.342728 | − | 0.939435i | \(-0.611351\pi\) | ||||
−0.342728 | + | 0.939435i | \(0.611351\pi\) | |||||||
\(488\) | 1.83540 | 0.0830849 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.0172562 | −0.000779556 0 | ||||||||
\(491\) | 30.5340 | 1.37798 | 0.688990 | − | 0.724771i | \(-0.258054\pi\) | ||||
0.688990 | + | 0.724771i | \(0.258054\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.5104 | −0.473363 | ||||||||
\(494\) | −0.00997192 | −0.000448658 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −10.0325 | −0.450020 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −28.8272 | −1.29048 | −0.645240 | − | 0.763980i | \(-0.723243\pi\) | ||||
−0.645240 | + | 0.763980i | \(0.723243\pi\) | |||||||
\(500\) | 20.7113 | 0.926237 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.45516 | 0.109579 | ||||||||
\(503\) | 3.11786 | 0.139018 | 0.0695092 | − | 0.997581i | \(-0.477857\pi\) | ||||
0.0695092 | + | 0.997581i | \(0.477857\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.6573 | 0.474243 | ||||||||
\(506\) | −2.86009 | −0.127147 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.44392 | −0.152799 | ||||||||
\(509\) | −13.2957 | −0.589323 | −0.294661 | − | 0.955602i | \(-0.595207\pi\) | ||||
−0.294661 | + | 0.955602i | \(0.595207\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.46849 | −0.418862 | ||||||||
\(512\) | −9.63009 | −0.425594 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.12063 | −0.0494288 | ||||||||
\(515\) | 3.29609 | 0.145243 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 55.2507 | 2.42992 | ||||||||
\(518\) | −3.52215 | −0.154754 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.00819113 | −0.000359205 0 | ||||||||
\(521\) | −8.44298 | −0.369894 | −0.184947 | − | 0.982749i | \(-0.559211\pi\) | ||||
−0.184947 | + | 0.982749i | \(0.559211\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −39.6642 | −1.73440 | −0.867198 | − | 0.497964i | \(-0.834081\pi\) | ||||
−0.867198 | + | 0.497964i | \(0.834081\pi\) | |||||||
\(524\) | 14.0298 | 0.612894 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.388418 | 0.0169358 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.27443 | −0.272801 | ||||||||
\(530\) | 1.20732 | 0.0524428 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 31.5662 | 1.36857 | ||||||||
\(533\) | −0.0962066 | −0.00416717 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.80568 | 0.423937 | ||||||||
\(536\) | 1.76624 | 0.0762901 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.73567 | −0.0748299 | ||||||||
\(539\) | 0.636590 | 0.0274199 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 21.8292 | 0.938509 | 0.469255 | − | 0.883063i | \(-0.344523\pi\) | ||||
0.469255 | + | 0.883063i | \(0.344523\pi\) | |||||||
\(542\) | 1.74574 | 0.0749859 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.22797 | 0.224148 | ||||||||
\(545\) | 7.74422 | 0.331726 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 27.3401 | 1.16898 | 0.584490 | − | 0.811401i | \(-0.301295\pi\) | ||||
0.584490 | + | 0.811401i | \(0.301295\pi\) | |||||||
\(548\) | −18.9271 | −0.808527 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.43963 | 0.104026 | ||||||||
\(551\) | −17.6826 | −0.753305 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.69417 | −0.369714 | ||||||||
\(554\) | 2.73455 | 0.116180 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −26.4909 | −1.12347 | ||||||||
\(557\) | −27.9171 | −1.18289 | −0.591443 | − | 0.806347i | \(-0.701441\pi\) | ||||
−0.591443 | + | 0.806347i | \(0.701441\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.0427611 | 0.00180860 | ||||||||
\(560\) | 12.8133 | 0.541460 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.288861 | 0.0121849 | ||||||||
\(563\) | 25.7662 | 1.08591 | 0.542957 | − | 0.839760i | \(-0.317305\pi\) | ||||
0.542957 | + | 0.839760i | \(0.317305\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.37762 | 0.142098 | ||||||||
\(566\) | −1.72969 | −0.0727042 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.86122 | −0.0780952 | ||||||||
\(569\) | 16.2134 | 0.679701 | 0.339851 | − | 0.940479i | \(-0.389623\pi\) | ||||
0.339851 | + | 0.940479i | \(0.389623\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.37945 | 0.392518 | 0.196259 | − | 0.980552i | \(-0.437121\pi\) | ||||
0.196259 | + | 0.980552i | \(0.437121\pi\) | |||||||
\(572\) | 0.150503 | 0.00629283 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.36617 | −0.0987620 | ||||||||
\(575\) | −14.2667 | −0.594964 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 31.6764 | 1.31870 | 0.659352 | − | 0.751834i | \(-0.270831\pi\) | ||||
0.659352 | + | 0.751834i | \(0.270831\pi\) | |||||||
\(578\) | 0.550594 | 0.0229017 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.23432 | −0.300389 | ||||||||
\(581\) | −5.52138 | −0.229065 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −44.5388 | −1.84461 | ||||||||
\(584\) | −1.75658 | −0.0726880 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.21120 | 0.132654 | ||||||||
\(587\) | −0.186802 | −0.00771014 | −0.00385507 | − | 0.999993i | \(-0.501227\pi\) | ||||
−0.00385507 | + | 0.999993i | \(0.501227\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −1.58634 | −0.0653086 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 41.5596 | 1.70809 | ||||||||
\(593\) | 13.4668 | 0.553015 | 0.276508 | − | 0.961012i | \(-0.410823\pi\) | ||||
0.276508 | + | 0.961012i | \(0.410823\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11.6234 | −0.476514 | ||||||||
\(596\) | 36.1164 | 1.47939 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.00683821 | 0.000279635 0 | ||||||||
\(599\) | 18.4914 | 0.755540 | 0.377770 | − | 0.925899i | \(-0.376691\pi\) | ||||
0.377770 | + | 0.925899i | \(0.376691\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.8606 | −0.728548 | −0.364274 | − | 0.931292i | \(-0.618683\pi\) | ||||
−0.364274 | + | 0.931292i | \(0.618683\pi\) | |||||||
\(602\) | 1.05170 | 0.0428639 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 13.0895 | 0.532605 | ||||||||
\(605\) | 25.4723 | 1.03560 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 28.9604 | 1.17547 | 0.587734 | − | 0.809054i | \(-0.300020\pi\) | ||||
0.587734 | + | 0.809054i | \(0.300020\pi\) | |||||||
\(608\) | 8.79553 | 0.356706 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.566315 | −0.0229294 | ||||||||
\(611\) | −0.132099 | −0.00534417 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −20.6444 | −0.833821 | −0.416910 | − | 0.908948i | \(-0.636887\pi\) | ||||
−0.416910 | + | 0.908948i | \(0.636887\pi\) | |||||||
\(614\) | 0.0814167 | 0.00328571 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 7.43189 | 0.299439 | ||||||||
\(617\) | −0.697562 | −0.0280828 | −0.0140414 | − | 0.999901i | \(-0.504470\pi\) | ||||
−0.0140414 | + | 0.999901i | \(0.504470\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.41091 | −0.0969026 | −0.0484513 | − | 0.998826i | \(-0.515429\pi\) | ||||
−0.0484513 | + | 0.998826i | \(0.515429\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −2.73673 | −0.109733 | ||||||||
\(623\) | −23.4813 | −0.940760 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.61172 | 0.184469 | ||||||||
\(626\) | 1.18132 | 0.0472150 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −31.2078 | −1.24533 | ||||||||
\(629\) | −37.7003 | −1.50321 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 36.4136 | 1.44960 | 0.724801 | − | 0.688959i | \(-0.241932\pi\) | ||||
0.724801 | + | 0.688959i | \(0.241932\pi\) | |||||||
\(632\) | −1.61293 | −0.0641590 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.260150 | −0.0103319 | ||||||||
\(635\) | 2.13350 | 0.0846654 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.00152203 | −6.03049e−5 0 | ||||||||
\(638\) | −2.07353 | −0.0820917 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 4.79158 | 0.189404 | ||||||||
\(641\) | −2.14971 | −0.0849085 | −0.0424542 | − | 0.999098i | \(-0.513518\pi\) | ||||
−0.0424542 | + | 0.999098i | \(0.513518\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −17.7453 | −0.699806 | −0.349903 | − | 0.936786i | \(-0.613785\pi\) | ||||
−0.349903 | + | 0.936786i | \(0.613785\pi\) | |||||||
\(644\) | −21.6464 | −0.852989 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.62517 | −0.103286 | ||||||||
\(647\) | −40.1703 | −1.57926 | −0.789629 | − | 0.613584i | \(-0.789727\pi\) | ||||
−0.789629 | + | 0.613584i | \(0.789727\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 58.5209 | 2.29715 | ||||||||
\(650\) | −0.00583292 | −0.000228786 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 14.2818 | 0.559317 | ||||||||
\(653\) | 2.41626 | 0.0945556 | 0.0472778 | − | 0.998882i | \(-0.484945\pi\) | ||||
0.0472778 | + | 0.998882i | \(0.484945\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −8.69143 | −0.339602 | ||||||||
\(656\) | 27.9196 | 1.09008 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.24894 | −0.126657 | ||||||||
\(659\) | −26.3680 | −1.02715 | −0.513576 | − | 0.858044i | \(-0.671679\pi\) | ||||
−0.513576 | + | 0.858044i | \(0.671679\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −37.8137 | −1.47078 | −0.735392 | − | 0.677642i | \(-0.763002\pi\) | ||||
−0.735392 | + | 0.677642i | \(0.763002\pi\) | |||||||
\(662\) | 0.311354 | 0.0121011 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.02432 | −0.0397513 | ||||||||
\(665\) | −19.5552 | −0.758320 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 12.1258 | 0.469513 | ||||||||
\(668\) | 40.6249 | 1.57182 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.544976 | −0.0210542 | ||||||||
\(671\) | 20.8916 | 0.806513 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 25.8793 | 0.997575 | 0.498788 | − | 0.866724i | \(-0.333779\pi\) | ||||
0.498788 | + | 0.866724i | \(0.333779\pi\) | |||||||
\(674\) | −3.37925 | −0.130164 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 25.7992 | 0.992276 | ||||||||
\(677\) | 19.9464 | 0.766602 | 0.383301 | − | 0.923623i | \(-0.374787\pi\) | ||||
0.383301 | + | 0.923623i | \(0.374787\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.03454 | 0.346714 | ||||||||
\(680\) | −2.15637 | −0.0826929 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 10.3960 | 0.397793 | 0.198897 | − | 0.980020i | \(-0.436264\pi\) | ||||
0.198897 | + | 0.980020i | \(0.436264\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.7253 | 0.448002 | ||||||||
\(686\) | 2.28081 | 0.0870816 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −12.4095 | −0.473107 | ||||||||
\(689\) | 0.106488 | 0.00405687 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.4503 | −0.511675 | −0.255837 | − | 0.966720i | \(-0.582351\pi\) | ||||
−0.255837 | + | 0.966720i | \(0.582351\pi\) | |||||||
\(692\) | −41.8100 | −1.58938 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.02098 | −0.114675 | ||||||||
\(695\) | 16.4111 | 0.622509 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −25.3270 | −0.959328 | ||||||||
\(698\) | −1.51066 | −0.0571794 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 18.4642 | 0.697881 | ||||||||
\(701\) | 1.52309 | 0.0575264 | 0.0287632 | − | 0.999586i | \(-0.490843\pi\) | ||||
0.0287632 | + | 0.999586i | \(0.490843\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −63.4270 | −2.39219 | ||||||||
\(704\) | −42.9846 | −1.62004 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.47881 | −0.130927 | ||||||||
\(707\) | 23.1188 | 0.869471 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.54507 | 0.0580263 | 0.0290131 | − | 0.999579i | \(-0.490764\pi\) | ||||
0.0290131 | + | 0.999579i | \(0.490764\pi\) | |||||||
\(710\) | 0.574281 | 0.0215524 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.35623 | −0.163257 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0932362 | −0.00348684 | ||||||||
\(716\) | 20.7962 | 0.777192 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.02199 | −0.112780 | ||||||||
\(719\) | 36.4715 | 1.36016 | 0.680079 | − | 0.733139i | \(-0.261946\pi\) | ||||
0.680079 | + | 0.733139i | \(0.261946\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.15019 | 0.266287 | ||||||||
\(722\) | −2.05727 | −0.0765635 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −18.9271 | −0.703422 | ||||||||
\(725\) | −10.3432 | −0.384136 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11.3252 | 0.420027 | 0.210013 | − | 0.977698i | \(-0.432649\pi\) | ||||
0.210013 | + | 0.977698i | \(0.432649\pi\) | |||||||
\(728\) | −0.0177690 | −0.000658561 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.541995 | 0.0200601 | ||||||||
\(731\) | 11.2571 | 0.416360 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.82359 | 0.0673559 | 0.0336779 | − | 0.999433i | \(-0.489278\pi\) | ||||
0.0336779 | + | 0.999433i | \(0.489278\pi\) | |||||||
\(734\) | −0.209755 | −0.00774221 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.03151 | −0.222324 | ||||||||
\(737\) | 20.1044 | 0.740556 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 35.2840 | 1.29794 | 0.648971 | − | 0.760813i | \(-0.275200\pi\) | ||||
0.648971 | + | 0.760813i | \(0.275200\pi\) | |||||||
\(740\) | −25.9493 | −0.953914 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.61904 | 0.0961481 | ||||||||
\(743\) | −26.9859 | −0.990018 | −0.495009 | − | 0.868888i | \(-0.664835\pi\) | ||||
−0.495009 | + | 0.868888i | \(0.664835\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −22.3741 | −0.819722 | ||||||||
\(746\) | −3.01549 | −0.110405 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 39.6208 | 1.44868 | ||||||||
\(749\) | 21.2714 | 0.777240 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −21.1606 | −0.772161 | −0.386080 | − | 0.922465i | \(-0.626171\pi\) | ||||
−0.386080 | + | 0.922465i | \(0.626171\pi\) | |||||||
\(752\) | 38.3359 | 1.39797 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.00495761 | 0.000180545 0 | ||||||||
\(755\) | −8.10894 | −0.295114 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −53.6180 | −1.94878 | −0.974389 | − | 0.224869i | \(-0.927804\pi\) | ||||
−0.974389 | + | 0.224869i | \(0.927804\pi\) | |||||||
\(758\) | −1.65705 | −0.0601868 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.62787 | −0.131597 | ||||||||
\(761\) | −8.24779 | −0.298982 | −0.149491 | − | 0.988763i | \(-0.547764\pi\) | ||||
−0.149491 | + | 0.988763i | \(0.547764\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 16.7995 | 0.608182 | ||||||||
\(764\) | −19.8549 | −0.718323 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.10989 | −0.112365 | ||||||||
\(767\) | −0.139918 | −0.00505214 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 26.3326 | 0.949577 | 0.474788 | − | 0.880100i | \(-0.342525\pi\) | ||||
0.474788 | + | 0.880100i | \(0.342525\pi\) | |||||||
\(770\) | −2.29311 | −0.0826381 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 41.0422 | 1.47714 | ||||||||
\(773\) | −11.8440 | −0.426000 | −0.213000 | − | 0.977052i | \(-0.568323\pi\) | ||||
−0.213000 | + | 0.977052i | \(0.568323\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 1.67608 | 0.0601677 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.72397 | −0.0976591 | ||||||||
\(779\) | −42.6101 | −1.52667 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −21.1855 | −0.758078 | ||||||||
\(782\) | 1.80020 | 0.0643751 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.441700 | 0.0157750 | ||||||||
\(785\) | 19.3332 | 0.690032 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −38.8768 | −1.38581 | −0.692904 | − | 0.721030i | \(-0.743669\pi\) | ||||
−0.692904 | + | 0.721030i | \(0.743669\pi\) | |||||||
\(788\) | 1.49496 | 0.0532556 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.497672 | 0.0177064 | ||||||||
\(791\) | 7.32706 | 0.260520 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.0499500 | −0.00177378 | ||||||||
\(794\) | −0.275208 | −0.00976678 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 19.6288 | 0.695723 | ||||||||
\(797\) | 52.0663 | 1.84428 | 0.922141 | − | 0.386854i | \(-0.126438\pi\) | ||||
0.922141 | + | 0.386854i | \(0.126438\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −34.7760 | −1.23029 | ||||||||
\(800\) | 5.14482 | 0.181897 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 3.31168 | 0.116940 | ||||||||
\(803\) | −19.9945 | −0.705590 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 13.4099 | 0.472638 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.28897 | 0.150885 | ||||||||
\(809\) | 31.2082 | 1.09722 | 0.548612 | − | 0.836077i | \(-0.315157\pi\) | ||||
0.548612 | + | 0.836077i | \(0.315157\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 16.4241 | 0.576729 | 0.288364 | − | 0.957521i | \(-0.406889\pi\) | ||||
0.288364 | + | 0.957521i | \(0.406889\pi\) | |||||||
\(812\) | −15.6934 | −0.550729 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −7.43766 | −0.260690 | ||||||||
\(815\) | −8.84753 | −0.309916 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 18.9390 | 0.662591 | ||||||||
\(818\) | −4.70345 | −0.164452 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −17.4327 | −0.608775 | ||||||||
\(821\) | −40.2675 | −1.40534 | −0.702672 | − | 0.711514i | \(-0.748010\pi\) | ||||
−0.702672 | + | 0.711514i | \(0.748010\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −23.3005 | −0.812205 | −0.406102 | − | 0.913828i | \(-0.633112\pi\) | ||||
−0.406102 | + | 0.913828i | \(0.633112\pi\) | |||||||
\(824\) | 1.32650 | 0.0462107 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.44124 | −0.119736 | ||||||||
\(827\) | 24.1368 | 0.839319 | 0.419660 | − | 0.907682i | \(-0.362149\pi\) | ||||
0.419660 | + | 0.907682i | \(0.362149\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 22.7194 | 0.789076 | 0.394538 | − | 0.918880i | \(-0.370905\pi\) | ||||
0.394538 | + | 0.918880i | \(0.370905\pi\) | |||||||
\(830\) | 0.316055 | 0.0109704 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.102772 | 0.00356298 | ||||||||
\(833\) | −0.400683 | −0.0138829 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −25.1670 | −0.870941 | ||||||||
\(836\) | 66.6580 | 2.30541 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −1.13831 | −0.0393223 | ||||||||
\(839\) | 6.01460 | 0.207647 | 0.103823 | − | 0.994596i | \(-0.466892\pi\) | ||||
0.103823 | + | 0.994596i | \(0.466892\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.2090 | −0.696861 | ||||||||
\(842\) | 0.405813 | 0.0139852 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −27.9089 | −0.960664 | ||||||||
\(845\) | −15.9826 | −0.549817 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 55.2568 | 1.89865 | ||||||||
\(848\) | −30.9034 | −1.06123 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.53555 | −0.0526691 | ||||||||
\(851\) | 43.4948 | 1.49098 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 10.8138 | 0.370258 | 0.185129 | − | 0.982714i | \(-0.440730\pi\) | ||||
0.185129 | + | 0.982714i | \(0.440730\pi\) | |||||||
\(854\) | −1.22850 | −0.0420385 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.94625 | 0.134880 | ||||||||
\(857\) | 34.0840 | 1.16429 | 0.582144 | − | 0.813086i | \(-0.302214\pi\) | ||||
0.582144 | + | 0.813086i | \(0.302214\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.51793 | 0.256508 | 0.128254 | − | 0.991741i | \(-0.459063\pi\) | ||||
0.128254 | + | 0.991741i | \(0.459063\pi\) | |||||||
\(860\) | 7.74832 | 0.264215 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.91445 | −0.0992666 | ||||||||
\(863\) | −22.2748 | −0.758243 | −0.379121 | − | 0.925347i | \(-0.623774\pi\) | ||||
−0.379121 | + | 0.925347i | \(0.623774\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 25.9012 | 0.880668 | ||||||||
\(866\) | 3.39520 | 0.115374 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −18.3594 | −0.622798 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.0480678 | −0.00162872 | ||||||||
\(872\) | 3.11662 | 0.105542 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.02866 | 0.102446 | ||||||||
\(875\) | −27.8334 | −0.940939 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −27.1655 | −0.917313 | −0.458656 | − | 0.888614i | \(-0.651669\pi\) | ||||
−0.458656 | + | 0.888614i | \(0.651669\pi\) | |||||||
\(878\) | 4.10322 | 0.138477 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 27.0576 | 0.912111 | ||||||||
\(881\) | −22.7696 | −0.767126 | −0.383563 | − | 0.923515i | \(-0.625303\pi\) | ||||
−0.383563 | + | 0.923515i | \(0.625303\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.5333 | 0.691000 | 0.345500 | − | 0.938419i | \(-0.387709\pi\) | ||||
0.345500 | + | 0.938419i | \(0.387709\pi\) | |||||||
\(884\) | −0.0947296 | −0.00318610 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.65481 | −0.0555946 | ||||||||
\(887\) | −53.7079 | −1.80333 | −0.901667 | − | 0.432431i | \(-0.857656\pi\) | ||||
−0.901667 | + | 0.432431i | \(0.857656\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.62819 | 0.155224 | ||||||||
\(890\) | 1.34412 | 0.0450549 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 19.6386 | 0.657547 | ||||||||
\(893\) | −58.5071 | −1.95787 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.8832 | −0.430639 | ||||||||
\(896\) | 10.3943 | 0.347251 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.40247 | −0.0468010 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 28.0337 | 0.933937 | ||||||||
\(902\) | −4.99661 | −0.166369 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.35931 | 0.0452099 | ||||||||
\(905\) | 11.7253 | 0.389763 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 53.3488 | 1.77142 | 0.885709 | − | 0.464241i | \(-0.153673\pi\) | ||||
0.885709 | + | 0.464241i | \(0.153673\pi\) | |||||||
\(908\) | 18.6641 | 0.619391 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.00548262 | 0.000181747 0 | ||||||||
\(911\) | −44.5464 | −1.47589 | −0.737944 | − | 0.674861i | \(-0.764203\pi\) | ||||
−0.737944 | + | 0.674861i | \(0.764203\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −11.6594 | −0.385870 | ||||||||
\(914\) | 0.565079 | 0.0186912 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −29.2817 | −0.967494 | ||||||||
\(917\) | −18.8543 | −0.622623 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −11.6589 | −0.384593 | −0.192297 | − | 0.981337i | \(-0.561594\pi\) | ||||
−0.192297 | + | 0.981337i | \(0.561594\pi\) | |||||||
\(920\) | 2.48780 | 0.0820203 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3.57575 | −0.117761 | ||||||||
\(923\) | 0.0506526 | 0.00166725 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −37.1007 | −1.21986 | ||||||||
\(926\) | 1.49649 | 0.0491779 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.37276 | −0.143543 | ||||||||
\(929\) | 16.1137 | 0.528675 | 0.264337 | − | 0.964430i | \(-0.414847\pi\) | ||||
0.264337 | + | 0.964430i | \(0.414847\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.674109 | −0.0220930 | ||||||||
\(932\) | −56.7312 | −1.85829 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.37546 | −0.0777274 | ||||||||
\(935\) | −24.5450 | −0.802708 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 45.2884 | 1.47951 | 0.739754 | − | 0.672877i | \(-0.234942\pi\) | ||||
0.739754 | + | 0.672877i | \(0.234942\pi\) | |||||||
\(938\) | −1.18221 | −0.0386006 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −23.9364 | −0.780720 | ||||||||
\(941\) | −24.5088 | −0.798964 | −0.399482 | − | 0.916741i | \(-0.630810\pi\) | ||||
−0.399482 | + | 0.916741i | \(0.630810\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 29.2197 | 0.951525 | ||||||||
\(944\) | 40.6049 | 1.32158 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.22085 | 0.0722060 | ||||||||
\(947\) | −44.7537 | −1.45430 | −0.727150 | − | 0.686478i | \(-0.759156\pi\) | ||||
−0.727150 | + | 0.686478i | \(0.759156\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.0478049 | 0.00155181 | ||||||||
\(950\) | −2.58341 | −0.0838170 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −4.67779 | −0.151608 | ||||||||
\(953\) | −30.8112 | −0.998071 | −0.499036 | − | 0.866581i | \(-0.666312\pi\) | ||||
−0.499036 | + | 0.866581i | \(0.666312\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 12.3001 | 0.398020 | ||||||||
\(956\) | 17.8786 | 0.578236 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −1.52624 | −0.0493105 | ||||||||
\(959\) | 25.4357 | 0.821361 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | 0.0177828 | 0.000573339 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.56417 | 0.0503786 | ||||||||
\(965\) | −25.4256 | −0.818479 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −44.5447 | −1.43246 | −0.716230 | − | 0.697864i | \(-0.754134\pi\) | ||||
−0.716230 | + | 0.697864i | \(0.754134\pi\) | |||||||
\(968\) | 10.2512 | 0.329486 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.517155 | −0.0166048 | ||||||||
\(971\) | −6.35732 | −0.204016 | −0.102008 | − | 0.994784i | \(-0.532527\pi\) | ||||
−0.102008 | + | 0.994784i | \(0.532527\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 35.6005 | 1.14130 | ||||||||
\(974\) | 1.87835 | 0.0601863 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 14.4957 | 0.463997 | ||||||||
\(977\) | 13.4329 | 0.429758 | 0.214879 | − | 0.976641i | \(-0.431064\pi\) | ||||
0.214879 | + | 0.976641i | \(0.431064\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −49.5852 | −1.58475 | ||||||||
\(980\) | −0.275792 | −0.00880984 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.79155 | −0.120993 | ||||||||
\(983\) | 42.1777 | 1.34526 | 0.672629 | − | 0.739980i | \(-0.265165\pi\) | ||||
0.672629 | + | 0.739980i | \(0.265165\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.926123 | −0.0295087 | ||||||||
\(986\) | 1.30512 | 0.0415635 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.159373 | −0.00507033 | ||||||||
\(989\) | −12.9873 | −0.412973 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −40.1209 | −1.27448 | −0.637241 | − | 0.770665i | \(-0.719924\pi\) | ||||
−0.637241 | + | 0.770665i | \(0.719924\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.24579 | 0.0395139 | ||||||||
\(995\) | −12.1600 | −0.385497 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −40.6053 | −1.28598 | −0.642991 | − | 0.765874i | \(-0.722307\pi\) | ||||
−0.642991 | + | 0.765874i | \(0.722307\pi\) | |||||||
\(998\) | 3.57960 | 0.113310 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))