Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1156,2,Mod(1,1156)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1156, 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("1156.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1156 = 2^{2} \cdot 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1156.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: | \(9.23070647366\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{12})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - 3 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 68) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-1.73205\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1156.1 |
$q$-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 | ||||||||
\(3\) | −2.73205 | −1.57735 | −0.788675 | − | 0.614810i | \(-0.789233\pi\) | ||||
−0.788675 | + | 0.614810i | \(0.789233\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.46410 | 1.54919 | 0.774597 | − | 0.632456i | \(-0.217953\pi\) | ||||
0.774597 | + | 0.632456i | \(0.217953\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.73205 | 1.03262 | 0.516309 | − | 0.856402i | \(-0.327306\pi\) | ||||
0.516309 | + | 0.856402i | \(0.327306\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 4.46410 | 1.48803 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.26795 | 0.382301 | 0.191151 | − | 0.981561i | \(-0.438778\pi\) | ||||
0.191151 | + | 0.981561i | \(0.438778\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.46410 | 1.51547 | 0.757735 | − | 0.652563i | \(-0.226306\pi\) | ||||
0.757735 | + | 0.652563i | \(0.226306\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −9.46410 | −2.44362 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.46410 | −0.335888 | −0.167944 | − | 0.985797i | \(-0.553713\pi\) | ||||
−0.167944 | + | 0.985797i | \(0.553713\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −7.46410 | −1.62880 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.26795 | 0.264386 | 0.132193 | − | 0.991224i | \(-0.457798\pi\) | ||||
0.132193 | + | 0.991224i | \(0.457798\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.00000 | 1.40000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.00000 | −0.769800 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.46410 | −0.643268 | −0.321634 | − | 0.946864i | \(-0.604232\pi\) | ||||
−0.321634 | + | 0.946864i | \(0.604232\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.19615 | −0.753651 | −0.376826 | − | 0.926284i | \(-0.622984\pi\) | ||||
−0.376826 | + | 0.926284i | \(0.622984\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.46410 | −0.603023 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 9.46410 | 1.59973 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.53590 | −0.745697 | −0.372849 | − | 0.927892i | \(-0.621619\pi\) | ||||
−0.372849 | + | 0.927892i | \(0.621619\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −14.9282 | −2.39043 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.00000 | 0.937043 | 0.468521 | − | 0.883452i | \(-0.344787\pi\) | ||||
0.468521 | + | 0.883452i | \(0.344787\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.39230 | −1.27981 | −0.639907 | − | 0.768452i | \(-0.721027\pi\) | ||||
−0.639907 | + | 0.768452i | \(0.721027\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 15.4641 | 2.30525 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.92820 | −1.01058 | −0.505291 | − | 0.862949i | \(-0.668615\pi\) | ||||
−0.505291 | + | 0.862949i | \(0.668615\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.464102 | 0.0663002 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 12.9282 | 1.77583 | 0.887913 | − | 0.460012i | \(-0.152155\pi\) | ||||
0.887913 | + | 0.460012i | \(0.152155\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.39230 | 0.592258 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.00000 | 0.529813 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.53590 | 0.330146 | 0.165073 | − | 0.986281i | \(-0.447214\pi\) | ||||
0.165073 | + | 0.986281i | \(0.447214\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.535898 | 0.0686148 | 0.0343074 | − | 0.999411i | \(-0.489077\pi\) | ||||
0.0343074 | + | 0.999411i | \(0.489077\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 12.1962 | 1.53657 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 18.9282 | 2.34775 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 14.9282 | 1.82377 | 0.911885 | − | 0.410445i | \(-0.134627\pi\) | ||||
0.911885 | + | 0.410445i | \(0.134627\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.46410 | −0.417029 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.19615 | 0.972704 | 0.486352 | − | 0.873763i | \(-0.338327\pi\) | ||||
0.486352 | + | 0.873763i | \(0.338327\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.00000 | −0.234082 | −0.117041 | − | 0.993127i | \(-0.537341\pi\) | ||||
−0.117041 | + | 0.993127i | \(0.537341\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −19.1244 | −2.20829 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.46410 | 0.394771 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.1962 | 1.37217 | 0.686087 | − | 0.727519i | \(-0.259327\pi\) | ||||
0.686087 | + | 0.727519i | \(0.259327\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.46410 | −0.273789 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −2.53590 | −0.278351 | −0.139176 | − | 0.990268i | \(-0.544445\pi\) | ||||
−0.139176 | + | 0.990268i | \(0.544445\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 9.46410 | 1.01466 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.53590 | 0.268805 | 0.134402 | − | 0.990927i | \(-0.457089\pi\) | ||||
0.134402 | + | 0.990927i | \(0.457089\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 14.9282 | 1.56490 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 11.4641 | 1.18877 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −5.07180 | −0.520355 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.92820 | 0.500383 | 0.250192 | − | 0.968196i | \(-0.419506\pi\) | ||||
0.250192 | + | 0.968196i | \(0.419506\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.66025 | 0.568877 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.53590 | −0.252331 | −0.126166 | − | 0.992009i | \(-0.540267\pi\) | ||||
−0.126166 | + | 0.992009i | \(0.540267\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.9282 | −1.07679 | −0.538394 | − | 0.842693i | \(-0.680969\pi\) | ||||
−0.538394 | + | 0.842693i | \(0.680969\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −25.8564 | −2.52333 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −10.7321 | −1.03751 | −0.518753 | − | 0.854924i | \(-0.673604\pi\) | ||||
−0.518753 | + | 0.854924i | \(0.673604\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.3923 | 1.37853 | 0.689266 | − | 0.724508i | \(-0.257933\pi\) | ||||
0.689266 | + | 0.724508i | \(0.257933\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 12.3923 | 1.17623 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −19.8564 | −1.86793 | −0.933967 | − | 0.357360i | \(-0.883677\pi\) | ||||
−0.933967 | + | 0.357360i | \(0.883677\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.39230 | 0.409585 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 24.3923 | 2.25507 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.39230 | −0.853846 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −16.3923 | −1.47804 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.92820 | 0.619677 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.392305 | 0.0348114 | 0.0174057 | − | 0.999849i | \(-0.494459\pi\) | ||||
0.0174057 | + | 0.999849i | \(0.494459\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 22.9282 | 2.01872 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.66025 | −0.494539 | −0.247269 | − | 0.968947i | \(-0.579533\pi\) | ||||
−0.247269 | + | 0.968947i | \(0.579533\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.00000 | −0.346844 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −13.8564 | −1.19257 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2.53590 | 0.216656 | 0.108328 | − | 0.994115i | \(-0.465450\pi\) | ||||
0.108328 | + | 0.994115i | \(0.465450\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.7321 | 1.24956 | 0.624778 | − | 0.780802i | \(-0.285189\pi\) | ||||
0.624778 | + | 0.780802i | \(0.285189\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 18.9282 | 1.59404 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 6.92820 | 0.579365 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.0000 | −0.996546 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.26795 | −0.104579 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 6.00000 | 0.491539 | 0.245770 | − | 0.969328i | \(-0.420959\pi\) | ||||
0.245770 | + | 0.969328i | \(0.420959\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −13.4641 | −1.09569 | −0.547847 | − | 0.836579i | \(-0.684552\pi\) | ||||
−0.547847 | + | 0.836579i | \(0.684552\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −14.5359 | −1.16755 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.00000 | 0.159617 | 0.0798087 | − | 0.996810i | \(-0.474569\pi\) | ||||
0.0798087 | + | 0.996810i | \(0.474569\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −35.3205 | −2.80110 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.46410 | 0.273009 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −20.5885 | −1.61261 | −0.806306 | − | 0.591498i | \(-0.798537\pi\) | ||||
−0.806306 | + | 0.591498i | \(0.798537\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −12.0000 | −0.934199 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −5.66025 | −0.438004 | −0.219002 | − | 0.975724i | \(-0.570280\pi\) | ||||
−0.219002 | + | 0.975724i | \(0.570280\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 16.8564 | 1.29665 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −6.53590 | −0.499813 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 15.4641 | 1.17571 | 0.587857 | − | 0.808965i | \(-0.299972\pi\) | ||||
0.587857 | + | 0.808965i | \(0.299972\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 19.1244 | 1.44567 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −6.92820 | −0.520756 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 14.5359 | 1.08646 | 0.543232 | − | 0.839583i | \(-0.317200\pi\) | ||||
0.543232 | + | 0.839583i | \(0.317200\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.53590 | −0.337151 | −0.168575 | − | 0.985689i | \(-0.553917\pi\) | ||||
−0.168575 | + | 0.985689i | \(0.553917\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.46410 | −0.108230 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −15.7128 | −1.15523 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −10.9282 | −0.794910 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.0000 | 0.868290 | 0.434145 | − | 0.900843i | \(-0.357051\pi\) | ||||
0.434145 | + | 0.900843i | \(0.357051\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −20.9282 | −1.50645 | −0.753223 | − | 0.657766i | \(-0.771502\pi\) | ||||
−0.753223 | + | 0.657766i | \(0.771502\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −51.7128 | −3.70323 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.46410 | −0.246807 | −0.123404 | − | 0.992357i | \(-0.539381\pi\) | ||||
−0.123404 | + | 0.992357i | \(0.539381\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.19615 | −0.297457 | −0.148729 | − | 0.988878i | \(-0.547518\pi\) | ||||
−0.148729 | + | 0.988878i | \(0.547518\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −40.7846 | −2.87672 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −9.46410 | −0.664250 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 20.7846 | 1.45166 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.66025 | 0.393415 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.85641 | −0.128410 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.33975 | −0.161075 | −0.0805374 | − | 0.996752i | \(-0.525664\pi\) | ||||
−0.0805374 | + | 0.996752i | \(0.525664\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −22.3923 | −1.53430 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −29.0718 | −1.98268 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −11.4641 | −0.778234 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.46410 | 0.369230 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.3923 | 0.829850 | 0.414925 | − | 0.909856i | \(-0.363808\pi\) | ||||
0.414925 | + | 0.909856i | \(0.363808\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 31.2487 | 2.08325 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 20.1962 | 1.34047 | 0.670233 | − | 0.742151i | \(-0.266194\pi\) | ||||
0.670233 | + | 0.742151i | \(0.266194\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −20.3923 | −1.34756 | −0.673781 | − | 0.738931i | \(-0.735331\pi\) | ||||
−0.673781 | + | 0.738931i | \(0.735331\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −9.46410 | −0.622692 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −6.00000 | −0.393073 | −0.196537 | − | 0.980497i | \(-0.562969\pi\) | ||||
−0.196537 | + | 0.980497i | \(0.562969\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −24.0000 | −1.56559 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −33.3205 | −2.16440 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 20.7846 | 1.34444 | 0.672222 | − | 0.740349i | \(-0.265340\pi\) | ||||
0.672222 | + | 0.740349i | \(0.265340\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.00000 | −0.128831 | −0.0644157 | − | 0.997923i | \(-0.520518\pi\) | ||||
−0.0644157 | + | 0.997923i | \(0.520518\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 18.7321 | 1.20166 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.60770 | 0.102712 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.00000 | −0.509028 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.92820 | 0.439057 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.92820 | 0.437304 | 0.218652 | − | 0.975803i | \(-0.429834\pi\) | ||||
0.218652 | + | 0.975803i | \(0.429834\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.60770 | 0.101075 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −28.3923 | −1.77106 | −0.885532 | − | 0.464579i | \(-0.846206\pi\) | ||||
−0.885532 | + | 0.464579i | \(0.846206\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −12.3923 | −0.770020 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −15.4641 | −0.957204 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 11.3205 | 0.698052 | 0.349026 | − | 0.937113i | \(-0.386512\pi\) | ||||
0.349026 | + | 0.937113i | \(0.386512\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 44.7846 | 2.75110 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6.92820 | −0.423999 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 27.4641 | 1.67452 | 0.837258 | − | 0.546808i | \(-0.184157\pi\) | ||||
0.837258 | + | 0.546808i | \(0.184157\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.07180 | 0.0651070 | 0.0325535 | − | 0.999470i | \(-0.489636\pi\) | ||||
0.0325535 | + | 0.999470i | \(0.489636\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −40.7846 | −2.46840 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 8.87564 | 0.535221 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.39230 | −0.384076 | −0.192038 | − | 0.981387i | \(-0.561510\pi\) | ||||
−0.192038 | + | 0.981387i | \(0.561510\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −18.7321 | −1.12146 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −19.8564 | −1.18453 | −0.592267 | − | 0.805742i | \(-0.701767\pi\) | ||||
−0.592267 | + | 0.805742i | \(0.701767\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −20.5885 | −1.22386 | −0.611928 | − | 0.790913i | \(-0.709606\pi\) | ||||
−0.611928 | + | 0.790913i | \(0.709606\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 13.8564 | 0.820783 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 16.3923 | 0.967607 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −13.4641 | −0.789280 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 30.0000 | 1.75262 | 0.876309 | − | 0.481749i | \(-0.159998\pi\) | ||||
0.876309 | + | 0.481749i | \(0.159998\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.78461 | 0.511460 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.07180 | −0.294295 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 6.92820 | 0.400668 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −22.9282 | −1.32156 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 6.92820 | 0.398015 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.85641 | 0.106298 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −24.7846 | −1.41453 | −0.707266 | − | 0.706947i | \(-0.750072\pi\) | ||||
−0.707266 | + | 0.706947i | \(0.750072\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 29.8564 | 1.69847 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.12436 | 0.177166 | 0.0885830 | − | 0.996069i | \(-0.471766\pi\) | ||||
0.0885830 | + | 0.996069i | \(0.471766\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −20.9282 | −1.18293 | −0.591466 | − | 0.806330i | \(-0.701451\pi\) | ||||
−0.591466 | + | 0.806330i | \(0.701451\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 42.2487 | 2.38045 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −8.53590 | −0.479424 | −0.239712 | − | 0.970844i | \(-0.577053\pi\) | ||||
−0.239712 | + | 0.970844i | \(0.577053\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.39230 | −0.245922 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 29.3205 | 1.63651 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 38.2487 | 2.12166 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −39.3205 | −2.17443 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −18.9282 | −1.04355 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.3205 | 1.06195 | 0.530976 | − | 0.847387i | \(-0.321826\pi\) | ||||
0.530976 | + | 0.847387i | \(0.321826\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −20.2487 | −1.10962 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 51.7128 | 2.82537 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.78461 | 0.369581 | 0.184791 | − | 0.982778i | \(-0.440839\pi\) | ||||
0.184791 | + | 0.982778i | \(0.440839\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 54.2487 | 2.94639 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.32051 | −0.288122 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.8564 | −0.964155 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −12.0000 | −0.646058 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 34.0526 | 1.82804 | 0.914019 | − | 0.405672i | \(-0.132963\pi\) | ||||
0.914019 | + | 0.405672i | \(0.132963\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.7846 | 0.577287 | 0.288643 | − | 0.957437i | \(-0.406796\pi\) | ||||
0.288643 | + | 0.957437i | \(0.406796\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −21.8564 | −1.16661 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −19.8564 | −1.05685 | −0.528425 | − | 0.848980i | \(-0.677217\pi\) | ||||
−0.528425 | + | 0.848980i | \(0.677217\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 28.3923 | 1.50691 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −23.3205 | −1.23081 | −0.615405 | − | 0.788211i | \(-0.711007\pi\) | ||||
−0.615405 | + | 0.788211i | \(0.711007\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.8564 | −0.887179 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 25.6603 | 1.34681 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.92820 | −0.362639 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.33975 | −0.122134 | −0.0610669 | − | 0.998134i | \(-0.519450\pi\) | ||||
−0.0610669 | + | 0.998134i | \(0.519450\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 26.7846 | 1.39435 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 35.3205 | 1.83375 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.39230 | −0.434537 | −0.217269 | − | 0.976112i | \(-0.569715\pi\) | ||||
−0.217269 | + | 0.976112i | \(0.569715\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −18.9282 | −0.977448 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −18.9282 | −0.974852 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.26795 | 0.270596 | 0.135298 | − | 0.990805i | \(-0.456801\pi\) | ||||
0.135298 | + | 0.990805i | \(0.456801\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.07180 | −0.0549098 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.53590 | −0.129578 | −0.0647892 | − | 0.997899i | \(-0.520637\pi\) | ||||
−0.0647892 | + | 0.997899i | \(0.520637\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.0000 | 0.611577 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −37.4641 | −1.90441 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 37.1769 | 1.88494 | 0.942472 | − | 0.334285i | \(-0.108495\pi\) | ||||
0.942472 | + | 0.334285i | \(0.108495\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 15.4641 | 0.780061 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 42.2487 | 2.12576 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.60770 | 0.281442 | 0.140721 | − | 0.990049i | \(-0.455058\pi\) | ||||
0.140721 | + | 0.990049i | \(0.455058\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 10.9282 | 0.547094 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −31.8564 | −1.59083 | −0.795417 | − | 0.606063i | \(-0.792748\pi\) | ||||
−0.795417 | + | 0.606063i | \(0.792748\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −22.9282 | −1.14214 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −8.53590 | −0.424152 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.75129 | −0.285081 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.7128 | 0.875842 | 0.437921 | − | 0.899013i | \(-0.355715\pi\) | ||||
0.437921 | + | 0.899013i | \(0.355715\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.92820 | −0.341743 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 6.92820 | 0.340915 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.78461 | −0.431220 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −40.2487 | −1.97099 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 24.5885 | 1.20122 | 0.600612 | − | 0.799540i | \(-0.294924\pi\) | ||||
0.600612 | + | 0.799540i | \(0.294924\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −22.2487 | −1.08434 | −0.542168 | − | 0.840270i | \(-0.682396\pi\) | ||||
−0.542168 | + | 0.840270i | \(0.682396\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −30.9282 | −1.50378 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.46410 | 0.0708528 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −18.9282 | −0.913862 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −17.6603 | −0.850665 | −0.425332 | − | 0.905037i | \(-0.639843\pi\) | ||||
−0.425332 | + | 0.905037i | \(0.639843\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.60770 | 0.173375 | 0.0866874 | − | 0.996236i | \(-0.472372\pi\) | ||||
0.0866874 | + | 0.996236i | \(0.472372\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 32.7846 | 1.57190 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.85641 | −0.0888040 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 24.1962 | 1.15482 | 0.577410 | − | 0.816455i | \(-0.304064\pi\) | ||||
0.577410 | + | 0.816455i | \(0.304064\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.07180 | 0.0986570 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −20.7846 | −0.987507 | −0.493753 | − | 0.869602i | \(-0.664375\pi\) | ||||
−0.493753 | + | 0.869602i | \(0.664375\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.78461 | 0.416430 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −16.3923 | −0.775329 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −6.00000 | −0.283158 | −0.141579 | − | 0.989927i | \(-0.545218\pi\) | ||||
−0.141579 | + | 0.989927i | \(0.545218\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.60770 | 0.358232 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 36.7846 | 1.72829 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 51.7128 | 2.42433 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −20.3923 | −0.953912 | −0.476956 | − | 0.878927i | \(-0.658260\pi\) | ||||
−0.476956 | + | 0.878927i | \(0.658260\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 26.7846 | 1.24748 | 0.623742 | − | 0.781630i | \(-0.285612\pi\) | ||||
0.623742 | + | 0.781630i | \(0.285612\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.14359 | −0.0996212 | −0.0498106 | − | 0.998759i | \(-0.515862\pi\) | ||||
−0.0498106 | + | 0.998759i | \(0.515862\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 39.7128 | 1.84164 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 14.5359 | 0.672641 | 0.336321 | − | 0.941748i | \(-0.390817\pi\) | ||||
0.336321 | + | 0.941748i | \(0.390817\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 40.7846 | 1.88326 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −5.46410 | −0.251773 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −10.6410 | −0.489274 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.2487 | −0.470243 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 57.7128 | 2.64249 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 17.6603 | 0.806918 | 0.403459 | − | 0.914998i | \(-0.367808\pi\) | ||||
0.403459 | + | 0.914998i | \(0.367808\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −24.7846 | −1.13008 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −9.46410 | −0.430632 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 17.0718 | 0.775190 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.05256 | −0.274268 | −0.137134 | − | 0.990553i | \(-0.543789\pi\) | ||||
−0.137134 | + | 0.990553i | \(0.543789\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 56.2487 | 2.54365 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −37.1769 | −1.67777 | −0.838885 | − | 0.544308i | \(-0.816792\pi\) | ||||
−0.838885 | + | 0.544308i | \(0.816792\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 19.6077 | 0.881300 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 22.3923 | 1.00443 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −24.9808 | −1.11829 | −0.559146 | − | 0.829069i | \(-0.688871\pi\) | ||||
−0.559146 | + | 0.829069i | \(0.688871\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 15.4641 | 0.690885 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −27.1244 | −1.20942 | −0.604708 | − | 0.796448i | \(-0.706710\pi\) | ||||
−0.604708 | + | 0.796448i | \(0.706710\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.78461 | −0.390910 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −46.0526 | −2.04527 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −21.7128 | −0.962404 | −0.481202 | − | 0.876610i | \(-0.659800\pi\) | ||||
−0.481202 | + | 0.876610i | \(0.659800\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.46410 | −0.241718 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 5.85641 | 0.258567 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −37.8564 | −1.66815 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −8.78461 | −0.386347 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −42.2487 | −1.85451 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 6.00000 | 0.262865 | 0.131432 | − | 0.991325i | \(-0.458042\pi\) | ||||
0.131432 | + | 0.991325i | \(0.458042\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.7846 | −0.559032 | −0.279516 | − | 0.960141i | \(-0.590174\pi\) | ||||
−0.279516 | + | 0.960141i | \(0.590174\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −52.2487 | −2.28032 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.3923 | −0.930100 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 11.3205 | 0.491268 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 32.7846 | 1.42006 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −37.1769 | −1.60730 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −39.7128 | −1.71373 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.588457 | 0.0253466 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.3923 | −0.790747 | −0.395373 | − | 0.918520i | \(-0.629385\pi\) | ||||
−0.395373 | + | 0.918520i | \(0.629385\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 12.3923 | 0.531805 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 49.8564 | 2.13561 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −42.7321 | −1.82709 | −0.913545 | − | 0.406737i | \(-0.866667\pi\) | ||||
−0.913545 | + | 0.406737i | \(0.866667\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 2.39230 | 0.102101 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 5.07180 | 0.216066 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 33.3205 | 1.41693 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 42.9282 | 1.82220 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −26.5359 | −1.12436 | −0.562181 | − | 0.827014i | \(-0.690038\pi\) | ||||
−0.562181 | + | 0.827014i | \(0.690038\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −45.8564 | −1.93952 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −35.3205 | −1.48858 | −0.744291 | − | 0.667855i | \(-0.767212\pi\) | ||||
−0.744291 | + | 0.667855i | \(0.767212\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −68.7846 | −2.89379 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −6.73205 | −0.282720 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7.85641 | −0.329358 | −0.164679 | − | 0.986347i | \(-0.552659\pi\) | ||||
−0.164679 | + | 0.986347i | \(0.552659\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −11.1244 | −0.465540 | −0.232770 | − | 0.972532i | \(-0.574779\pi\) | ||||
−0.232770 | + | 0.972532i | \(0.574779\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −32.7846 | −1.36960 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 8.87564 | 0.370140 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −13.4641 | −0.560518 | −0.280259 | − | 0.959924i | \(-0.590420\pi\) | ||||
−0.280259 | + | 0.959924i | \(0.590420\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 57.1769 | 2.37619 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −6.92820 | −0.287430 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 16.3923 | 0.678900 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 84.4974 | 3.49354 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 28.3923 | 1.17188 | 0.585938 | − | 0.810356i | \(-0.300726\pi\) | ||||
0.585938 | + | 0.810356i | \(0.300726\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.14359 | 0.253142 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 9.46410 | 0.389301 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −4.14359 | −0.170157 | −0.0850785 | − | 0.996374i | \(-0.527114\pi\) | ||||
−0.0850785 | + | 0.996374i | \(0.527114\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 11.4641 | 0.469194 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −27.7128 | −1.13231 | −0.566157 | − | 0.824297i | \(-0.691571\pi\) | ||||
−0.566157 | + | 0.824297i | \(0.691571\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.7846 | −0.439913 | −0.219957 | − | 0.975510i | \(-0.570592\pi\) | ||||
−0.219957 | + | 0.975510i | \(0.570592\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 66.6410 | 2.71383 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −32.5359 | −1.32277 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 38.7321 | 1.57209 | 0.786043 | − | 0.618172i | \(-0.212127\pi\) | ||||
0.786043 | + | 0.618172i | \(0.212127\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 25.8564 | 1.04775 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −37.8564 | −1.53151 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −47.8564 | −1.93290 | −0.966451 | − | 0.256851i | \(-0.917315\pi\) | ||||
−0.966451 | + | 0.256851i | \(0.917315\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −56.7846 | −2.28978 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 35.5692 | 1.43196 | 0.715981 | − | 0.698119i | \(-0.245980\pi\) | ||||
0.715981 | + | 0.698119i | \(0.245980\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −11.8038 | −0.474437 | −0.237218 | − | 0.971456i | \(-0.576236\pi\) | ||||
−0.237218 | + | 0.971456i | \(0.576236\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.07180 | −0.203524 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 6.92820 | 0.277573 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.0000 | −0.440000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 5.07180 | 0.202548 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 41.4641 | 1.65066 | 0.825330 | − | 0.564651i | \(-0.190989\pi\) | ||||
0.825330 | + | 0.564651i | \(0.190989\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.39230 | 0.254071 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.35898 | 0.0539296 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.53590 | 0.100476 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 36.5885 | 1.44742 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 12.9282 | 0.510633 | 0.255317 | − | 0.966857i | \(-0.417820\pi\) | ||||
0.255317 | + | 0.966857i | \(0.417820\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −32.5885 | −1.28516 | −0.642582 | − | 0.766217i | \(-0.722137\pi\) | ||||
−0.642582 | + | 0.766217i | \(0.722137\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 79.4256 | 3.12738 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 17.0718 | 0.671162 | 0.335581 | − | 0.942011i | \(-0.391067\pi\) | ||||
0.335581 | + | 0.942011i | \(0.391067\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.21539 | 0.126215 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 31.3205 | 1.22755 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 10.3923 | 0.406682 | 0.203341 | − | 0.979108i | \(-0.434820\pi\) | ||||
0.203341 | + | 0.979108i | \(0.434820\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −19.6077 | −0.766136 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −8.92820 | −0.348322 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 42.9282 | 1.67225 | 0.836123 | − | 0.548542i | \(-0.184817\pi\) | ||||
0.836123 | + | 0.548542i | \(0.184817\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.0718 | −0.586225 | −0.293112 | − | 0.956078i | \(-0.594691\pi\) | ||||
−0.293112 | + | 0.956078i | \(0.594691\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −13.8564 | −0.537328 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.39230 | −0.170071 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −33.8564 | −1.30896 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.679492 | 0.0262315 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.143594 | −0.00553512 | −0.00276756 | − | 0.999996i | \(-0.500881\pi\) | ||||
−0.00276756 | + | 0.999996i | \(0.500881\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −28.0000 | −1.07772 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 24.2487 | 0.931954 | 0.465977 | − | 0.884797i | \(-0.345703\pi\) | ||||
0.465977 | + | 0.884797i | \(0.345703\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 13.4641 | 0.516705 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −55.1769 | −2.11438 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 46.0526 | 1.76215 | 0.881076 | − | 0.472975i | \(-0.156820\pi\) | ||||
0.881076 | + | 0.472975i | \(0.156820\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.78461 | 0.335643 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 55.7128 | 2.12558 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 70.6410 | 2.69121 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 36.1962 | 1.37697 | 0.688483 | − | 0.725252i | \(-0.258277\pi\) | ||||
0.688483 | + | 0.725252i | \(0.258277\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 15.4641 | 0.587433 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 51.0333 | 1.93580 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 16.3923 | 0.620014 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −16.3923 | −0.619129 | −0.309564 | − | 0.950878i | \(-0.600183\pi\) | ||||
−0.309564 | + | 0.950878i | \(0.600183\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.64102 | 0.250471 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 65.5692 | 2.46948 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −6.92820 | −0.260562 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 16.2487 | 0.610233 | 0.305117 | − | 0.952315i | \(-0.401305\pi\) | ||||
0.305117 | + | 0.952315i | \(0.401305\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 54.4449 | 2.04184 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −5.32051 | −0.199255 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 24.0000 | 0.897549 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −56.7846 | −2.12066 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −43.5167 | −1.62290 | −0.811449 | − | 0.584424i | \(-0.801321\pi\) | ||||
−0.811449 | + | 0.584424i | \(0.801321\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −29.8564 | −1.11191 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 5.46410 | 0.203212 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −24.2487 | −0.900575 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.78461 | 0.177451 | 0.0887257 | − | 0.996056i | \(-0.471721\pi\) | ||||
0.0887257 | + | 0.996056i | \(0.471721\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −43.7846 | −1.62165 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −18.7846 | −0.693825 | −0.346913 | − | 0.937897i | \(-0.612770\pi\) | ||||
−0.346913 | + | 0.937897i | \(0.612770\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.39230 | −0.162013 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 18.9282 | 0.697229 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.3923 | 0.455858 | 0.227929 | − | 0.973678i | \(-0.426805\pi\) | ||||
0.227929 | + | 0.973678i | \(0.426805\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 21.8564 | 0.802915 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −23.9090 | −0.877135 | −0.438567 | − | 0.898698i | \(-0.644514\pi\) | ||||
−0.438567 | + | 0.898698i | \(0.644514\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 20.7846 | 0.761489 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −11.3205 | −0.414196 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −29.3205 | −1.07135 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18.7321 | −0.683542 | −0.341771 | − | 0.939783i | \(-0.611027\pi\) | ||||
−0.341771 | + | 0.939783i | \(0.611027\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −18.9282 | −0.689782 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −46.6410 | −1.69744 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 17.4641 | 0.634744 | 0.317372 | − | 0.948301i | \(-0.397200\pi\) | ||||
0.317372 | + | 0.948301i | \(0.397200\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −4.39230 | −0.159431 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 16.3923 | 0.594221 | 0.297110 | − | 0.954843i | \(-0.403977\pi\) | ||||
0.297110 | + | 0.954843i | \(0.403977\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 39.3205 | 1.42350 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 13.8564 | 0.500326 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.392305 | 0.0141469 | 0.00707344 | − | 0.999975i | \(-0.497748\pi\) | ||||
0.00707344 | + | 0.999975i | \(0.497748\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 77.5692 | 2.79359 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.679492 | −0.0244396 | −0.0122198 | − | 0.999925i | \(-0.503890\pi\) | ||||
−0.0122198 | + | 0.999925i | \(0.503890\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −29.3731 | −1.05511 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 33.8564 | 1.21459 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −8.78461 | −0.314741 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.3923 | 0.371866 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 13.8564 | 0.495188 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.92820 | 0.247278 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −23.1244 | −0.824294 | −0.412147 | − | 0.911117i | \(-0.635221\pi\) | ||||
−0.412147 | + | 0.911117i | \(0.635221\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −30.9282 | −1.10107 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −54.2487 | −1.92886 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.92820 | 0.103984 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −122.354 | −4.33944 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −2.78461 | −0.0986359 | −0.0493180 | − | 0.998783i | \(-0.515705\pi\) | ||||
−0.0493180 | + | 0.998783i | \(0.515705\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 11.3205 | 0.399990 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −2.53590 | −0.0894899 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.0000 | 0.422944 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −75.0333 | −2.64130 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 7.85641 | 0.276217 | 0.138108 | − | 0.990417i | \(-0.455898\pi\) | ||||
0.138108 | + | 0.990417i | \(0.455898\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 37.3731 | 1.31235 | 0.656173 | − | 0.754611i | \(-0.272174\pi\) | ||||
0.656173 | + | 0.754611i | \(0.272174\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.92820 | −0.102697 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −71.3205 | −2.49825 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 12.2872 | 0.429874 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 66.6410 | 2.32863 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −45.0333 | −1.57167 | −0.785837 | − | 0.618434i | \(-0.787767\pi\) | ||||
−0.785837 | + | 0.618434i | \(0.787767\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.66025 | −0.0578728 | −0.0289364 | − | 0.999581i | \(-0.509212\pi\) | ||||
−0.0289364 | + | 0.999581i | \(0.509212\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −24.2487 | −0.844232 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 19.5167 | 0.678661 | 0.339330 | − | 0.940667i | \(-0.389800\pi\) | ||||
0.339330 | + | 0.940667i | \(0.389800\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 39.8564 | 1.38427 | 0.692135 | − | 0.721768i | \(-0.256670\pi\) | ||||
0.692135 | + | 0.721768i | \(0.256670\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 17.4641 | 0.605823 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −19.6077 | −0.678552 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 16.7846 | 0.580161 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.48334 | −0.154782 | −0.0773910 | − | 0.997001i | \(-0.524659\pi\) | ||||
−0.0773910 | + | 0.997001i | \(0.524659\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.0000 | −0.586207 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 54.2487 | 1.86842 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 58.3923 | 2.00876 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −25.6603 | −0.881697 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 56.2487 | 1.93045 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −5.75129 | −0.197152 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.24871 | −0.282430 | −0.141215 | − | 0.989979i | \(-0.545101\pi\) | ||||
−0.141215 | + | 0.989979i | \(0.545101\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −22.6410 | −0.774306 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −16.6410 | −0.568446 | −0.284223 | − | 0.958758i | \(-0.591736\pi\) | ||||
−0.284223 | + | 0.958758i | \(0.591736\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −27.3205 | −0.932164 | −0.466082 | − | 0.884742i | \(-0.654335\pi\) | ||||
−0.466082 | + | 0.884742i | \(0.654335\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −44.7846 | −1.52626 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 10.1436 | 0.345292 | 0.172646 | − | 0.984984i | \(-0.444768\pi\) | ||||
0.172646 | + | 0.984984i | \(0.444768\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 53.5692 | 1.82141 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 15.4641 | 0.524584 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 81.5692 | 2.76387 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 22.0000 | 0.744587 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 18.9282 | 0.639890 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.60770 | −0.324429 | −0.162214 | − | 0.986756i | \(-0.551864\pi\) | ||||
−0.162214 | + | 0.986756i | \(0.551864\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −81.9615 | −2.76449 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 38.7846 | 1.30669 | 0.653343 | − | 0.757062i | \(-0.273366\pi\) | ||||
0.653343 | + | 0.757062i | \(0.273366\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.0000 | 0.673054 | 0.336527 | − | 0.941674i | \(-0.390748\pi\) | ||||
0.336527 | + | 0.941674i | \(0.390748\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −24.0000 | −0.806751 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −11.4115 | −0.383162 | −0.191581 | − | 0.981477i | \(-0.561361\pi\) | ||||
−0.191581 | + | 0.981477i | \(0.561361\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.07180 | 0.0359469 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.12436 | −0.104670 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 10.1436 | 0.339442 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 50.3538 | 1.68314 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −18.9282 | −0.631994 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 14.5359 | 0.484799 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 62.6410 | 2.08456 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −15.7128 | −0.522312 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −34.4449 | −1.14372 | −0.571861 | − | 0.820350i | \(-0.693779\pi\) | ||||
−0.571861 | + | 0.820350i | \(0.693779\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −11.3205 | −0.375478 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 15.8038 | 0.523605 | 0.261802 | − | 0.965121i | \(-0.415683\pi\) | ||||
0.261802 | + | 0.965121i | \(0.415683\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.21539 | −0.106414 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −5.07180 | −0.167668 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −15.4641 | −0.510670 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −52.0000 | −1.71532 | −0.857661 | − | 0.514216i | \(-0.828083\pi\) | ||||
−0.857661 | + | 0.514216i | \(0.828083\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 67.7128 | 2.23121 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 44.7846 | 1.47410 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −31.7513 | −1.04398 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −48.7846 | −1.60230 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 9.71281 | 0.318667 | 0.159334 | − | 0.987225i | \(-0.449065\pi\) | ||||
0.159334 | + | 0.987225i | \(0.449065\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.679492 | −0.0222694 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −8.53590 | −0.279453 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.143594 | 0.00469100 | 0.00234550 | − | 0.999997i | \(-0.499253\pi\) | ||||
0.00234550 | + | 0.999997i | \(0.499253\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 57.1769 | 1.86590 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −41.3205 | −1.34701 | −0.673505 | − | 0.739183i | \(-0.735212\pi\) | ||||
−0.673505 | + | 0.739183i | \(0.735212\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7.60770 | 0.247741 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −37.8564 | −1.23147 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −49.2679 | −1.60099 | −0.800497 | − | 0.599337i | \(-0.795431\pi\) | ||||
−0.800497 | + | 0.599337i | \(0.795431\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −10.9282 | −0.354744 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 23.3205 | 0.756219 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.24871 | 0.202416 | 0.101208 | − | 0.994865i | \(-0.467729\pi\) | ||||
0.101208 | + | 0.994865i | \(0.467729\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 41.5692 | 1.34515 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 12.0000 | 0.387905 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 6.92820 | 0.223723 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.3923 | −0.432010 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −47.9090 | −1.54384 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −72.4974 | −2.33377 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 27.6077 | 0.887804 | 0.443902 | − | 0.896075i | \(-0.353594\pi\) | ||||
0.443902 | + | 0.896075i | \(0.353594\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 20.1051 | 0.645204 | 0.322602 | − | 0.946535i | \(-0.395442\pi\) | ||||
0.322602 | + | 0.946535i | \(0.395442\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 40.2487 | 1.29031 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −104.497 | −3.34660 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −42.0000 | −1.34370 | −0.671850 | − | 0.740688i | \(-0.734500\pi\) | ||||
−0.671850 | + | 0.740688i | \(0.734500\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.21539 | 0.102764 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 64.2487 | 2.05130 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 35.9090 | 1.14532 | 0.572659 | − | 0.819794i | \(-0.305912\pi\) | ||||
0.572659 | + | 0.819794i | \(0.305912\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −12.0000 | −0.382352 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 51.7128 | 1.64604 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −10.6410 | −0.338365 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0.196152 | 0.00623099 | 0.00311549 | − | 0.999995i | \(-0.499008\pi\) | ||||
0.00311549 | + | 0.999995i | \(0.499008\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −52.7846 | −1.67507 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −14.5359 | −0.460819 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −21.6077 | −0.684323 | −0.342161 | − | 0.939641i | \(-0.611159\pi\) | ||||
−0.342161 | + | 0.939641i | \(0.611159\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 18.1436 | 0.574038 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))