Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3840,2,Mod(1,3840)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3840, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("3840.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3840 = 2^{8} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 3840.a (trivial) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | yes |
Analytic conductor: | \(30.6625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(3\) |
Coefficient field: | 3.3.316.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - x^{2} - 4x + 2 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 120) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(2.34292\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3840.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.68585 | −1.77108 | −0.885542 | − | 0.464560i | \(-0.846213\pi\) | ||||
−0.885542 | + | 0.464560i | \(0.846213\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.29273 | −0.691284 | −0.345642 | − | 0.938366i | \(-0.612339\pi\) | ||||
−0.345642 | + | 0.938366i | \(0.612339\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.97858 | −1.38081 | −0.690404 | − | 0.723424i | \(-0.742567\pi\) | ||||
−0.690404 | + | 0.723424i | \(0.742567\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.00000 | −0.258199 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.97858 | −0.722411 | −0.361206 | − | 0.932486i | \(-0.617635\pi\) | ||||
−0.361206 | + | 0.932486i | \(0.617635\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.68585 | 0.616175 | 0.308088 | − | 0.951358i | \(-0.400311\pi\) | ||||
0.308088 | + | 0.951358i | \(0.400311\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.68585 | 1.02254 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.68585 | −0.560038 | −0.280019 | − | 0.959995i | \(-0.590341\pi\) | ||||
−0.280019 | + | 0.959995i | \(0.590341\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.00000 | 0.371391 | 0.185695 | − | 0.982607i | \(-0.440546\pi\) | ||||
0.185695 | + | 0.982607i | \(0.440546\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.97858 | −1.25339 | −0.626695 | − | 0.779265i | \(-0.715593\pi\) | ||||
−0.626695 | + | 0.779265i | \(0.715593\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.29273 | 0.399113 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −4.68585 | −0.792053 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.39312 | −0.722224 | −0.361112 | − | 0.932523i | \(-0.617603\pi\) | ||||
−0.361112 | + | 0.932523i | \(0.617603\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 4.97858 | 0.797210 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 11.3717 | 1.77596 | 0.887980 | − | 0.459882i | \(-0.152108\pi\) | ||||
0.887980 | + | 0.459882i | \(0.152108\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9.37169 | −1.42917 | −0.714585 | − | 0.699549i | \(-0.753384\pi\) | ||||
−0.714585 | + | 0.699549i | \(0.753384\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.27131 | 1.06063 | 0.530315 | − | 0.847801i | \(-0.322074\pi\) | ||||
0.530315 | + | 0.847801i | \(0.322074\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 14.9572 | 2.13674 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.97858 | 0.417084 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.00000 | 0.274721 | 0.137361 | − | 0.990521i | \(-0.456138\pi\) | ||||
0.137361 | + | 0.990521i | \(0.456138\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.29273 | −0.309152 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.68585 | −0.355749 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.70727 | −0.222267 | −0.111134 | − | 0.993805i | \(-0.535448\pi\) | ||||
−0.111134 | + | 0.993805i | \(0.535448\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.58546 | 0.587108 | 0.293554 | − | 0.955942i | \(-0.405162\pi\) | ||||
0.293554 | + | 0.955942i | \(0.405162\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.68585 | −0.590361 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.97858 | −0.617516 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.00000 | 0.488678 | 0.244339 | − | 0.969690i | \(-0.421429\pi\) | ||||
0.244339 | + | 0.969690i | \(0.421429\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.68585 | 0.323338 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.585462 | −0.0694816 | −0.0347408 | − | 0.999396i | \(-0.511061\pi\) | ||||
−0.0347408 | + | 0.999396i | \(0.511061\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.00000 | 0.702247 | 0.351123 | − | 0.936329i | \(-0.385800\pi\) | ||||
0.351123 | + | 0.936329i | \(0.385800\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.00000 | −0.115470 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 10.7434 | 1.22432 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.02142 | 0.114919 | 0.0574595 | − | 0.998348i | \(-0.481700\pi\) | ||||
0.0574595 | + | 0.998348i | \(0.481700\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −13.3717 | −1.46773 | −0.733867 | − | 0.679293i | \(-0.762286\pi\) | ||||
−0.733867 | + | 0.679293i | \(0.762286\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.97858 | −0.323072 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.00000 | −0.214423 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.37169 | −0.357399 | −0.178699 | − | 0.983904i | \(-0.557189\pi\) | ||||
−0.178699 | + | 0.983904i | \(0.557189\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 23.3288 | 2.44553 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.97858 | 0.723645 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.68585 | 0.275562 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.95715 | −0.401788 | −0.200894 | − | 0.979613i | \(-0.564385\pi\) | ||||
−0.200894 | + | 0.979613i | \(0.564385\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.29273 | −0.230428 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.00000 | 0.199007 | 0.0995037 | − | 0.995037i | \(-0.468274\pi\) | ||||
0.0995037 | + | 0.995037i | \(0.468274\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.6430 | 1.44282 | 0.721409 | − | 0.692509i | \(-0.243495\pi\) | ||||
0.721409 | + | 0.692509i | \(0.243495\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 4.68585 | 0.457292 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 11.3288 | 1.09520 | 0.547600 | − | 0.836740i | \(-0.315541\pi\) | ||||
0.547600 | + | 0.836740i | \(0.315541\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.37169 | −0.897645 | −0.448823 | − | 0.893621i | \(-0.648157\pi\) | ||||
−0.448823 | + | 0.893621i | \(0.648157\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.39312 | 0.416976 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 19.7648 | 1.85932 | 0.929658 | − | 0.368423i | \(-0.120102\pi\) | ||||
0.929658 | + | 0.368423i | \(0.120102\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.68585 | −0.250456 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −4.97858 | −0.460270 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 13.9572 | 1.27945 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.74338 | −0.522126 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −11.3717 | −1.02535 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.64300 | 0.589471 | 0.294735 | − | 0.955579i | \(-0.404768\pi\) | ||||
0.294735 | + | 0.955579i | \(0.404768\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 9.37169 | 0.825132 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.07896 | 0.618492 | 0.309246 | − | 0.950982i | \(-0.399923\pi\) | ||||
0.309246 | + | 0.950982i | \(0.399923\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −12.5855 | −1.09130 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.00000 | −0.0860663 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 14.9786 | 1.27971 | 0.639853 | − | 0.768497i | \(-0.278995\pi\) | ||||
0.639853 | + | 0.768497i | \(0.278995\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.64300 | −0.393814 | −0.196907 | − | 0.980422i | \(-0.563090\pi\) | ||||
−0.196907 | + | 0.980422i | \(0.563090\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.27131 | −0.612355 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 11.4145 | 0.954532 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.00000 | 0.166091 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −14.9572 | −1.23365 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.00000 | −0.163846 | −0.0819232 | − | 0.996639i | \(-0.526106\pi\) | ||||
−0.0819232 | + | 0.996639i | \(0.526106\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.35027 | 0.679535 | 0.339768 | − | 0.940509i | \(-0.389652\pi\) | ||||
0.339768 | + | 0.940509i | \(0.389652\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.97858 | −0.240804 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.97858 | −0.560533 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −22.3503 | −1.78375 | −0.891873 | − | 0.452286i | \(-0.850609\pi\) | ||||
−0.891873 | + | 0.452286i | \(0.850609\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.00000 | −0.158610 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.5855 | 0.991873 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.37169 | −0.107439 | −0.0537196 | − | 0.998556i | \(-0.517108\pi\) | ||||
−0.0537196 | + | 0.998556i | \(0.517108\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.29273 | 0.178489 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −11.2713 | −0.872200 | −0.436100 | − | 0.899898i | \(-0.643641\pi\) | ||||
−0.436100 | + | 0.899898i | \(0.643641\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.7862 | 0.906633 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.68585 | 0.205392 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −10.7862 | −0.820062 | −0.410031 | − | 0.912072i | \(-0.634482\pi\) | ||||
−0.410031 | + | 0.912072i | \(0.634482\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.68585 | −0.354217 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.70727 | 0.128326 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.66442 | 0.273892 | 0.136946 | − | 0.990579i | \(-0.456271\pi\) | ||||
0.136946 | + | 0.990579i | \(0.456271\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.62831 | 0.492678 | 0.246339 | − | 0.969184i | \(-0.420772\pi\) | ||||
0.246339 | + | 0.969184i | \(0.420772\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.58546 | −0.338967 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −4.39312 | −0.322988 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.82908 | 0.499392 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.68585 | 0.340845 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −8.00000 | −0.578860 | −0.289430 | − | 0.957199i | \(-0.593466\pi\) | ||||
−0.289430 | + | 0.957199i | \(0.593466\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.21377 | 0.0873690 | 0.0436845 | − | 0.999045i | \(-0.486090\pi\) | ||||
0.0436845 | + | 0.999045i | \(0.486090\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 4.97858 | 0.356523 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −23.9572 | −1.70688 | −0.853438 | − | 0.521194i | \(-0.825487\pi\) | ||||
−0.853438 | + | 0.521194i | \(0.825487\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.350269 | −0.0248299 | −0.0124150 | − | 0.999923i | \(-0.503952\pi\) | ||||
−0.0124150 | + | 0.999923i | \(0.503952\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.00000 | −0.282138 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −9.37169 | −0.657764 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.3717 | 0.794233 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.68585 | −0.186679 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −6.15792 | −0.425952 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.1004 | 0.970710 | 0.485355 | − | 0.874317i | \(-0.338690\pi\) | ||||
0.485355 | + | 0.874317i | \(0.338690\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.585462 | 0.0401152 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −9.37169 | −0.639144 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 32.7005 | 2.21986 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −6.00000 | −0.405442 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 14.8291 | 0.997512 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.72869 | −0.450587 | −0.225293 | − | 0.974291i | \(-0.572334\pi\) | ||||
−0.225293 | + | 0.974291i | \(0.572334\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.00000 | 0.0666667 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 9.95715 | 0.660880 | 0.330440 | − | 0.943827i | \(-0.392803\pi\) | ||||
0.330440 | + | 0.943827i | \(0.392803\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.3288 | 0.748631 | 0.374316 | − | 0.927301i | \(-0.377878\pi\) | ||||
0.374316 | + | 0.927301i | \(0.377878\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −10.7434 | −0.706863 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 18.9786 | 1.24333 | 0.621664 | − | 0.783284i | \(-0.286457\pi\) | ||||
0.621664 | + | 0.783284i | \(0.286457\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.27131 | 0.474328 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.02142 | −0.0663485 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.62831 | 0.170011 | 0.0850055 | − | 0.996380i | \(-0.472909\pi\) | ||||
0.0850055 | + | 0.996380i | \(0.472909\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.7862 | 0.694802 | 0.347401 | − | 0.937717i | \(-0.387064\pi\) | ||||
0.347401 | + | 0.937717i | \(0.387064\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 14.9572 | 0.955578 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.3717 | −0.850820 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 13.3717 | 0.847397 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −30.9933 | −1.95628 | −0.978139 | − | 0.207952i | \(-0.933320\pi\) | ||||
−0.978139 | + | 0.207952i | \(0.933320\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.15792 | 0.387145 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.97858 | 0.186526 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 20.9357 | 1.30594 | 0.652968 | − | 0.757386i | \(-0.273524\pi\) | ||||
0.652968 | + | 0.757386i | \(0.273524\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 20.5855 | 1.27912 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.00000 | 0.123797 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 19.2713 | 1.18832 | 0.594160 | − | 0.804347i | \(-0.297485\pi\) | ||||
0.594160 | + | 0.804347i | \(0.297485\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.00000 | 0.122859 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.37169 | 0.206344 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −24.7434 | −1.50863 | −0.754315 | − | 0.656512i | \(-0.772031\pi\) | ||||
−0.754315 | + | 0.656512i | \(0.772031\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 27.5640 | 1.67440 | 0.837198 | − | 0.546900i | \(-0.184192\pi\) | ||||
0.837198 | + | 0.546900i | \(0.184192\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −23.3288 | −1.41193 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.29273 | −0.138257 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 20.3074 | 1.22015 | 0.610077 | − | 0.792342i | \(-0.291138\pi\) | ||||
0.610077 | + | 0.792342i | \(0.291138\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −6.97858 | −0.417796 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.7862 | 0.643453 | 0.321726 | − | 0.946833i | \(-0.395737\pi\) | ||||
0.321726 | + | 0.946833i | \(0.395737\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 20.0000 | 1.18888 | 0.594438 | − | 0.804141i | \(-0.297374\pi\) | ||||
0.594438 | + | 0.804141i | \(0.297374\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.68585 | −0.159096 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −53.2860 | −3.14537 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.12808 | −0.478122 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.95715 | 0.231972 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 21.9143 | 1.28025 | 0.640124 | − | 0.768272i | \(-0.278883\pi\) | ||||
0.640124 | + | 0.768272i | \(0.278883\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.70727 | −0.0994010 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.29273 | 0.133038 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 13.3717 | 0.773305 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 43.9143 | 2.53118 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.00000 | −0.114897 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 4.58546 | 0.262563 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 26.5426 | 1.51487 | 0.757434 | − | 0.652912i | \(-0.226453\pi\) | ||||
0.757434 | + | 0.652912i | \(0.226453\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −14.6430 | −0.833011 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.2008 | −0.691842 | −0.345921 | − | 0.938264i | \(-0.612434\pi\) | ||||
−0.345921 | + | 0.938264i | \(0.612434\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −15.9572 | −0.901952 | −0.450976 | − | 0.892536i | \(-0.648924\pi\) | ||||
−0.450976 | + | 0.892536i | \(0.648924\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −4.68585 | −0.264018 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −33.5296 | −1.88321 | −0.941605 | − | 0.336718i | \(-0.890683\pi\) | ||||
−0.941605 | + | 0.336718i | \(0.890683\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.58546 | −0.256737 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.3288 | −0.632315 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −8.00000 | −0.445132 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.97858 | −0.276162 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 9.37169 | 0.518256 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −34.0722 | −1.87846 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.8568 | 1.09143 | 0.545713 | − | 0.837972i | \(-0.316259\pi\) | ||||
0.545713 | + | 0.837972i | \(0.316259\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.39312 | −0.240741 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.00000 | 0.218543 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.17092 | 0.390625 | 0.195313 | − | 0.980741i | \(-0.437428\pi\) | ||||
0.195313 | + | 0.980741i | \(0.437428\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −19.7648 | −1.07348 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 16.0000 | 0.866449 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −37.2860 | −2.01325 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.68585 | 0.144601 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −0.786230 | −0.0422071 | −0.0211035 | − | 0.999777i | \(-0.506718\pi\) | ||||
−0.0211035 | + | 0.999777i | \(0.506718\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.15792 | 0.329626 | 0.164813 | − | 0.986325i | \(-0.447298\pi\) | ||||
0.164813 | + | 0.986325i | \(0.447298\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.97858 | 0.265737 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 21.7220 | 1.15614 | 0.578072 | − | 0.815986i | \(-0.303805\pi\) | ||||
0.578072 | + | 0.815986i | \(0.303805\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.585462 | −0.0310731 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −13.9572 | −0.738691 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −0.585462 | −0.0308995 | −0.0154498 | − | 0.999881i | \(-0.504918\pi\) | ||||
−0.0154498 | + | 0.999881i | \(0.504918\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.7862 | −0.620328 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 5.74338 | 0.301450 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.00000 | 0.314054 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.485078 | −0.0253209 | −0.0126604 | − | 0.999920i | \(-0.504030\pi\) | ||||
−0.0126604 | + | 0.999920i | \(0.504030\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 11.3717 | 0.591987 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −9.37169 | −0.486554 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.3931 | 0.641691 | 0.320846 | − | 0.947132i | \(-0.396033\pi\) | ||||
0.320846 | + | 0.947132i | \(0.396033\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.00000 | −0.0516398 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −9.95715 | −0.512820 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 26.0147 | 1.33629 | 0.668143 | − | 0.744033i | \(-0.267090\pi\) | ||||
0.668143 | + | 0.744033i | \(0.267090\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.64300 | −0.340331 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 6.68585 | 0.341631 | 0.170815 | − | 0.985303i | \(-0.445360\pi\) | ||||
0.170815 | + | 0.985303i | \(0.445360\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10.7434 | 0.547534 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −9.37169 | −0.476390 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −29.9143 | −1.51672 | −0.758358 | − | 0.651838i | \(-0.773998\pi\) | ||||
−0.758358 | + | 0.651838i | \(0.773998\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.00000 | 0.404577 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −7.07896 | −0.357086 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.02142 | 0.0513934 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.76481 | 0.490082 | 0.245041 | − | 0.969513i | \(-0.421199\pi\) | ||||
0.245041 | + | 0.969513i | \(0.421199\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 12.5855 | 0.630061 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −6.58546 | −0.328862 | −0.164431 | − | 0.986389i | \(-0.552579\pi\) | ||||
−0.164431 | + | 0.986389i | \(0.552579\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 34.7434 | 1.73069 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.00000 | 0.0496904 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 10.0722 | 0.499262 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 25.9143 | 1.28138 | 0.640690 | − | 0.767800i | \(-0.278648\pi\) | ||||
0.640690 | + | 0.767800i | \(0.278648\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −14.9786 | −0.738839 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 8.00000 | 0.393654 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −13.3717 | −0.656391 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.64300 | 0.227369 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.2499 | −0.598446 | −0.299223 | − | 0.954183i | \(-0.596727\pi\) | ||||
−0.299223 | + | 0.954183i | \(0.596727\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.67115 | 0.227658 | 0.113829 | − | 0.993500i | \(-0.463688\pi\) | ||||
0.113829 | + | 0.993500i | \(0.463688\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 7.27131 | 0.353543 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.97858 | −0.144482 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −21.4868 | −1.03982 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −11.4145 | −0.551099 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0.585462 | 0.0282007 | 0.0141004 | − | 0.999901i | \(-0.495512\pi\) | ||||
0.0141004 | + | 0.999901i | \(0.495512\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −21.9143 | −1.05313 | −0.526567 | − | 0.850133i | \(-0.676521\pi\) | ||||
−0.526567 | + | 0.850133i | \(0.676521\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.00000 | −0.0958927 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −7.21377 | −0.345081 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.39312 | 0.114217 | 0.0571086 | − | 0.998368i | \(-0.481812\pi\) | ||||
0.0571086 | + | 0.998368i | \(0.481812\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 14.9572 | 0.712245 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 20.7005 | 0.983512 | 0.491756 | − | 0.870733i | \(-0.336355\pi\) | ||||
0.491756 | + | 0.870733i | \(0.336355\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.37169 | −0.159834 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.00000 | 0.0945968 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −37.9143 | −1.78929 | −0.894643 | − | 0.446781i | \(-0.852570\pi\) | ||||
−0.894643 | + | 0.446781i | \(0.852570\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −26.0722 | −1.22769 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −8.35027 | −0.392330 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 23.3288 | 1.09367 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −38.7005 | −1.81033 | −0.905167 | − | 0.425055i | \(-0.860255\pi\) | ||||
−0.905167 | + | 0.425055i | \(0.860255\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.97858 | 0.139028 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.74338 | −0.220921 | −0.110461 | − | 0.993880i | \(-0.535233\pi\) | ||||
−0.110461 | + | 0.993880i | \(0.535233\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.3142 | 0.711709 | 0.355855 | − | 0.934541i | \(-0.384190\pi\) | ||||
0.355855 | + | 0.934541i | \(0.384190\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 6.97858 | 0.323624 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −30.5426 | −1.41334 | −0.706672 | − | 0.707541i | \(-0.749804\pi\) | ||||
−0.706672 | + | 0.707541i | \(0.749804\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −18.7434 | −0.865489 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 22.3503 | 1.02985 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 21.4868 | 0.987963 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.68585 | 0.123235 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.00000 | 0.0915737 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3.32885 | 0.152099 | 0.0760494 | − | 0.997104i | \(-0.475769\pi\) | ||||
0.0760494 | + | 0.997104i | \(0.475769\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 21.8715 | 0.997253 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −12.5855 | −0.572658 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.95715 | −0.179685 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.1004 | 0.548321 | 0.274160 | − | 0.961684i | \(-0.411600\pi\) | ||||
0.274160 | + | 0.961684i | \(0.411600\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 1.37169 | 0.0620301 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −14.2927 | −0.645022 | −0.322511 | − | 0.946566i | \(-0.604527\pi\) | ||||
−0.322511 | + | 0.946566i | \(0.604527\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.95715 | −0.268297 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −2.29273 | −0.103051 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.74338 | 0.123058 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.22846 | −0.413123 | −0.206561 | − | 0.978434i | \(-0.566227\pi\) | ||||
−0.206561 | + | 0.978434i | \(0.566227\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 11.2713 | 0.503565 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 14.1004 | 0.628705 | 0.314353 | − | 0.949306i | \(-0.398213\pi\) | ||||
0.314353 | + | 0.949306i | \(0.398213\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.00000 | 0.0889988 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −11.7862 | −0.523445 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 43.4011 | 1.92372 | 0.961859 | − | 0.273544i | \(-0.0881959\pi\) | ||||
0.961859 | + | 0.273544i | \(0.0881959\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −28.1151 | −1.24374 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −2.68585 | −0.118583 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 14.6430 | 0.645248 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.6712 | −0.733196 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 10.7862 | 0.473463 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.0000 | −0.438108 | −0.219054 | − | 0.975713i | \(-0.570297\pi\) | ||||
−0.219054 | + | 0.975713i | \(0.570297\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 13.5725 | 0.593482 | 0.296741 | − | 0.954958i | \(-0.404100\pi\) | ||||
0.296741 | + | 0.954958i | \(0.404100\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.68585 | 0.204507 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 20.7862 | 0.905462 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.7862 | −0.686358 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.70727 | −0.0740892 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −56.6148 | −2.45226 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 11.3288 | 0.489789 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −3.66442 | −0.158132 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −34.2927 | −1.47709 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 37.2860 | 1.60305 | 0.801525 | − | 0.597961i | \(-0.204022\pi\) | ||||
0.801525 | + | 0.597961i | \(0.204022\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −6.62831 | −0.284448 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −9.37169 | −0.401439 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.200768 | 0.00858424 | 0.00429212 | − | 0.999991i | \(-0.498634\pi\) | ||||
0.00429212 | + | 0.999991i | \(0.498634\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 4.58546 | 0.195703 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 5.37169 | 0.228842 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.78623 | −0.203531 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.39312 | 0.186477 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −9.21377 | −0.390400 | −0.195200 | − | 0.980763i | \(-0.562536\pi\) | ||||
−0.195200 | + | 0.980763i | \(0.562536\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 46.6577 | 1.97341 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.82908 | −0.288324 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 36.7005 | 1.54674 | 0.773372 | − | 0.633953i | \(-0.218569\pi\) | ||||
0.773372 | + | 0.633953i | \(0.218569\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 19.7648 | 0.831512 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −4.68585 | −0.196787 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −13.4145 | −0.562367 | −0.281183 | − | 0.959654i | \(-0.590727\pi\) | ||||
−0.281183 | + | 0.959654i | \(0.590727\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.6858 | 0.781978 | 0.390989 | − | 0.920395i | \(-0.372133\pi\) | ||||
0.390989 | + | 0.920395i | \(0.372133\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 8.00000 | 0.334205 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.68585 | −0.112008 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.78623 | −0.115992 | −0.0579961 | − | 0.998317i | \(-0.518471\pi\) | ||||
−0.0579961 | + | 0.998317i | \(0.518471\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.21377 | −0.0504425 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 62.6577 | 2.59948 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.58546 | −0.189910 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −4.97858 | −0.205839 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −27.3288 | −1.12798 | −0.563991 | − | 0.825781i | \(-0.690735\pi\) | ||||
−0.563991 | + | 0.825781i | \(0.690735\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −18.7434 | −0.772308 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 23.9572 | 0.985466 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −6.97858 | −0.286576 | −0.143288 | − | 0.989681i | \(-0.545767\pi\) | ||||
−0.143288 | + | 0.989681i | \(0.545767\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 13.9572 | 0.572188 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.350269 | 0.0143356 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −36.4998 | −1.49134 | −0.745670 | − | 0.666315i | \(-0.767870\pi\) | ||||
−0.745670 | + | 0.666315i | \(0.767870\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 15.5725 | 0.635214 | 0.317607 | − | 0.948222i | \(-0.397121\pi\) | ||||
0.317607 | + | 0.948222i | \(0.397121\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.00000 | 0.162893 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.74338 | −0.233502 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −31.2285 | −1.26752 | −0.633762 | − | 0.773528i | \(-0.718490\pi\) | ||||
−0.633762 | + | 0.773528i | \(0.718490\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 9.37169 | 0.379760 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −36.2008 | −1.46453 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.978577 | −0.0395244 | −0.0197622 | − | 0.999805i | \(-0.506291\pi\) | ||||
−0.0197622 | + | 0.999805i | \(0.506291\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −11.3717 | −0.458551 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −32.9357 | −1.32594 | −0.662971 | − | 0.748645i | \(-0.730705\pi\) | ||||
−0.662971 | + | 0.748645i | \(0.730705\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.35700 | 0.134929 | 0.0674646 | − | 0.997722i | \(-0.478509\pi\) | ||||
0.0674646 | + | 0.997722i | \(0.478509\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.68585 | 0.107779 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 15.7992 | 0.632983 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 6.15792 | 0.245924 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 13.0852 | 0.521742 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 27.7648 | 1.10530 | 0.552650 | − | 0.833414i | \(-0.313617\pi\) | ||||
0.552650 | + | 0.833414i | \(0.313617\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −14.1004 | −0.560440 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 6.64300 | 0.263619 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −74.4653 | −2.95042 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.585462 | −0.0231605 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −21.1281 | −0.834509 | −0.417254 | − | 0.908790i | \(-0.637008\pi\) | ||||
−0.417254 | + | 0.908790i | \(0.637008\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 29.2860 | 1.15493 | 0.577464 | − | 0.816416i | \(-0.304043\pi\) | ||||
0.577464 | + | 0.816416i | \(0.304043\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 9.37169 | 0.369010 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −15.6728 | −0.616163 | −0.308082 | − | 0.951360i | \(-0.599687\pi\) | ||||
−0.308082 | + | 0.951360i | \(0.599687\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.91431 | 0.153650 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −32.7005 | −1.28164 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 17.5296 | 0.685987 | 0.342993 | − | 0.939338i | \(-0.388559\pi\) | ||||
0.342993 | + | 0.939338i | \(0.388559\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.07896 | 0.276598 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.00000 | 0.234082 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −23.8652 | −0.929656 | −0.464828 | − | 0.885401i | \(-0.653884\pi\) | ||||
−0.464828 | + | 0.885401i | \(0.653884\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 30.1579 | 1.17301 | 0.586504 | − | 0.809947i | \(-0.300504\pi\) | ||||
0.586504 | + | 0.809947i | \(0.300504\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −14.8291 | −0.575914 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −12.5855 | −0.488043 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.37169 | −0.207993 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 6.72869 | 0.260146 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −10.5132 | −0.405859 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.0000 | −0.693849 | −0.346925 | − | 0.937893i | \(-0.612774\pi\) | ||||
−0.346925 | + | 0.937893i | \(0.612774\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.00000 | −0.0384900 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −9.61531 | −0.369546 | −0.184773 | − | 0.982781i | \(-0.559155\pi\) | ||||
−0.184773 | + | 0.982781i | \(0.559155\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 18.5426 | 0.711600 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −9.95715 | −0.381559 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −18.6283 | −0.712792 | −0.356396 | − | 0.934335i | \(-0.615995\pi\) | ||||
−0.356396 | + | 0.934335i | \(0.615995\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.9786 | 0.572302 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −11.3288 | −0.432222 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −9.95715 | −0.379337 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.4292 | −0.510872 | −0.255436 | − | 0.966826i | \(-0.582219\pi\) | ||||
−0.255436 | + | 0.966826i | \(0.582219\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 10.7434 | 0.408107 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.64300 | −0.176119 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −33.8715 | −1.28297 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −18.9786 | −0.717836 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 19.1709 | 0.724076 | 0.362038 | − | 0.932163i | \(-0.382081\pi\) | ||||
0.362038 | + | 0.932163i | \(0.382081\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11.7992 | −0.445016 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.27131 | −0.273853 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −9.37169 | −0.352459 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15.4145 | −0.578905 | −0.289453 | − | 0.957192i | \(-0.593473\pi\) | ||||
−0.289453 | + | 0.957192i | \(0.593473\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.02142 | 0.0383063 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 18.7434 | 0.701945 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 11.4145 | 0.426880 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.62831 | −0.0981559 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 20.7862 | 0.775196 | 0.387598 | − | 0.921829i | \(-0.373305\pi\) | ||||
0.387598 | + | 0.921829i | \(0.373305\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −68.6148 | −2.55535 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −10.7862 | −0.401144 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.00000 | 0.0742781 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.3012 | −0.456224 | −0.228112 | − | 0.973635i | \(-0.573255\pi\) | ||||
−0.228112 | + | 0.973635i | \(0.573255\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 27.9143 | 1.03245 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −35.9227 | −1.32684 | −0.663418 | − | 0.748249i | \(-0.730895\pi\) | ||||
−0.663418 | + | 0.748249i | \(0.730895\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −14.9572 | −0.551703 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −9.17092 | −0.337815 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 29.0277 | 1.06780 | 0.533900 | − | 0.845547i | \(-0.320726\pi\) | ||||
0.533900 | + | 0.845547i | \(0.320726\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 13.3717 | 0.491221 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.60015 | −0.0953904 | −0.0476952 | − | 0.998862i | \(-0.515188\pi\) | ||||
−0.0476952 | + | 0.998862i | \(0.515188\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.00000 | −0.0732743 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −13.3717 | −0.489245 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −53.0852 | −1.93969 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.8929 | −0.397487 | −0.198744 | − | 0.980052i | \(-0.563686\pi\) | ||||
−0.198744 | + | 0.980052i | \(0.563686\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 30.9933 | 1.12946 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.35027 | 0.303897 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −34.3503 | −1.24848 | −0.624241 | − | 0.781232i | \(-0.714592\pi\) | ||||
−0.624241 | + | 0.781232i | \(0.714592\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −6.15792 | −0.223518 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 19.0852 | 0.691839 | 0.345920 | − | 0.938264i | \(-0.387567\pi\) | ||||
0.345920 | + | 0.938264i | \(0.387567\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 43.9143 | 1.58980 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.97858 | −0.107691 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 8.49977 | 0.306909 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 31.8715 | 1.14931 | 0.574657 | − | 0.818394i | \(-0.305135\pi\) | ||||
0.574657 | + | 0.818394i | \(0.305135\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −20.9357 | −0.753982 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 11.9572 | 0.430069 | 0.215034 | − | 0.976606i | \(-0.431014\pi\) | ||||
0.215034 | + | 0.976606i | \(0.431014\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.97858 | −0.250678 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −20.5855 | −0.738499 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 30.5426 | 1.09430 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.34231 | 0.0480315 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.00000 | −0.0714742 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −22.3503 | −0.797715 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 33.0852 | 1.17936 | 0.589681 | − | 0.807637i | \(-0.299254\pi\) | ||||
0.589681 | + | 0.807637i | \(0.299254\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −19.2713 | −0.686077 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −92.6148 | −3.29300 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −22.8291 | −0.810684 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.00000 | −0.0709327 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −10.0000 | −0.354218 | −0.177109 | − | 0.984191i | \(-0.556675\pi\) | ||||
−0.177109 | + | 0.984191i | \(0.556675\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −21.6582 | −0.766210 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.37169 | −0.119133 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −13.7564 | −0.485452 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.5855 | 0.443579 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 24.7434 | 0.871008 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 30.6148 | 1.07636 | 0.538180 | − | 0.842830i | \(-0.319112\pi\) | ||||
0.538180 | + | 0.842830i | \(0.319112\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −53.9290 | −1.89370 | −0.946852 | − | 0.321670i | \(-0.895756\pi\) | ||||
−0.946852 | + | 0.321670i | \(0.895756\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −27.5640 | −0.966713 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.37169 | −0.0480483 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −25.1709 | −0.880619 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 23.3288 | 0.815176 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −12.6577 | −0.441757 | −0.220878 | − | 0.975301i | \(-0.570892\pi\) | ||||
−0.220878 | + | 0.975301i | \(0.570892\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 19.8139 | 0.690670 | 0.345335 | − | 0.938479i | \(-0.387765\pi\) | ||||
0.345335 | + | 0.938479i | \(0.387765\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.29273 | 0.0798226 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −20.0000 | −0.695468 | −0.347734 | − | 0.937593i | \(-0.613049\pi\) | ||||
−0.347734 | + | 0.937593i | \(0.613049\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −41.3717 | −1.43690 | −0.718449 | − | 0.695580i | \(-0.755148\pi\) | ||||
−0.718449 | + | 0.695580i | \(0.755148\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −20.3074 | −0.704457 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −44.5510 | −1.54360 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −11.2713 | −0.390060 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.97858 | 0.241215 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −20.9013 | −0.721593 | −0.360797 | − | 0.932645i | \(-0.617495\pi\) | ||||
−0.360797 | + | 0.932645i | \(0.617495\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −10.7862 | −0.371498 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 11.7862 | 0.405459 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 26.9126 | 0.924728 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −20.0000 | −0.686398 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 11.7992 | 0.404472 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.63673 | −0.227237 | −0.113619 | − | 0.993524i | \(-0.536244\pi\) | ||||
−0.113619 | + | 0.993524i | \(0.536244\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.68585 | 0.0918540 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −9.80765 | −0.335023 | −0.167512 | − | 0.985870i | \(-0.553573\pi\) | ||||
−0.167512 | + | 0.985870i | \(0.553573\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −39.3864 | −1.34385 | −0.671923 | − | 0.740621i | \(-0.734531\pi\) | ||||
−0.671923 | + | 0.740621i | \(0.734531\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 53.2860 | 1.81598 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 7.07054 | 0.240684 | 0.120342 | − | 0.992732i | \(-0.461601\pi\) | ||||
0.120342 | + | 0.992732i | \(0.461601\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −10.7862 | −0.366743 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 8.12808 | 0.276044 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.34185 | −0.0794417 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −19.9143 | −0.674771 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −3.95715 | −0.133929 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −4.68585 | −0.158411 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 23.1365 | 0.781264 | 0.390632 | − | 0.920547i | \(-0.372256\pi\) | ||||
0.390632 | + | 0.920547i | \(0.372256\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −21.9143 | −0.739151 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 28.4569 | 0.958738 | 0.479369 | − | 0.877613i | \(-0.340866\pi\) | ||||
0.479369 | + | 0.877613i | \(0.340866\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −41.2003 | −1.38650 | −0.693250 | − | 0.720697i | \(-0.743822\pi\) | ||||
−0.693250 | + | 0.720697i | \(0.743822\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.70727 | 0.0573892 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 3.55777 | 0.119458 | 0.0597291 | − | 0.998215i | \(-0.480976\pi\) | ||||
0.0597291 | + | 0.998215i | \(0.480976\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −31.1281 | −1.04400 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.29273 | −0.0768094 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 19.5296 | 0.653534 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.66442 | 0.122488 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −13.3717 | −0.446468 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −13.9572 | −0.465497 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.95715 | −0.198462 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −43.9143 | −1.46138 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 6.62831 | 0.220332 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 50.6577 | 1.68206 | 0.841031 | − | 0.540988i | \(-0.181949\pi\) | ||||
0.841031 | + | 0.540988i | \(0.181949\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 2.00000 | 0.0663358 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −26.4569 | −0.876557 | −0.438279 | − | 0.898839i | \(-0.644412\pi\) | ||||
−0.438279 | + | 0.898839i | \(0.644412\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 30.6577 | 1.01462 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −4.58546 | −0.151591 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −33.1709 | −1.09540 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −29.8077 | −0.983264 | −0.491632 | − | 0.870803i | \(-0.663599\pi\) | ||||
−0.491632 | + | 0.870803i | \(0.663599\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −26.5426 | −0.874609 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.91477 | 0.0959407 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.39312 | −0.144445 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 14.6430 | 0.480939 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −8.82908 | −0.289673 | −0.144836 | − | 0.989456i | \(-0.546266\pi\) | ||||
−0.144836 | + | 0.989456i | \(0.546266\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 40.1726 | 1.31660 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 12.2008 | 0.399435 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 6.82908 | 0.223335 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 42.2302 | 1.37960 | 0.689799 | − | 0.724000i | \(-0.257699\pi\) | ||||
0.689799 | + | 0.724000i | \(0.257699\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.9572 | 0.520742 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 32.7434 | 1.06740 | 0.533702 | − | 0.845673i | \(-0.320800\pi\) | ||||
0.533702 | + | 0.845673i | \(0.320800\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −30.5426 | −0.994604 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 4.68585 | 0.152431 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −15.9143 | −0.517146 | −0.258573 | − | 0.965992i | \(-0.583252\pi\) | ||||
−0.258573 | + | 0.965992i | \(0.583252\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −29.8715 | −0.969669 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 33.5296 | 1.08727 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −55.6791 | −1.80362 | −0.901812 | − | 0.432129i | \(-0.857762\pi\) | ||||
−0.901812 | + | 0.432129i | \(0.857762\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.00000 | −0.258874 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 4.58546 | 0.148227 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −70.1873 | −2.26647 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 17.7005 | 0.570985 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 11.3288 | 0.365067 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.21377 | 0.0390726 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 54.7581 | 1.76090 | 0.880451 | − | 0.474138i | \(-0.157240\pi\) | ||||
0.880451 | + | 0.474138i | \(0.157240\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.00000 | 0.256997 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 30.3221 | 0.973083 | 0.486542 | − | 0.873657i | \(-0.338258\pi\) | ||||
0.486542 | + | 0.873657i | \(0.338258\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 21.7564 | 0.697478 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 4.97858 | 0.159442 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −29.7220 | −0.950890 | −0.475445 | − | 0.879746i | \(-0.657713\pi\) | ||||
−0.475445 | + | 0.879746i | \(0.657713\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 7.73038 | 0.247064 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −9.37169 | −0.299215 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 49.5443 | 1.58022 | 0.790109 | − | 0.612966i | \(-0.210024\pi\) | ||||
0.790109 | + | 0.612966i | \(0.210024\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −23.9572 | −0.763338 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 34.0722 | 1.08453 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 25.1709 | 0.800389 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.0937 | 0.606530 | 0.303265 | − | 0.952906i | \(-0.401923\pi\) | ||||
0.303265 | + | 0.952906i | \(0.401923\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −19.8568 | −0.630136 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.350269 | −0.0111043 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −38.8500 | −1.23039 | −0.615197 | − | 0.788374i | \(-0.710923\pi\) | ||||
−0.615197 | + | 0.788374i | \(0.710923\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.39312 | 0.138992 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))