Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2925,2,Mod(1,2925)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2925, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2925.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2925 = 3^{2} \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2925.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: | \(23.3562425912\) |
Analytic rank: | \(0\) |
Dimension: | \(3\) |
Coefficient field: | 3.3.148.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - x^{2} - 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(0.311108\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2925.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.21432 | −0.858654 | −0.429327 | − | 0.903149i | \(-0.641249\pi\) | ||||
−0.429327 | + | 0.903149i | \(0.641249\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.525428 | −0.262714 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.90321 | −1.09731 | −0.548655 | − | 0.836049i | \(-0.684860\pi\) | ||||
−0.548655 | + | 0.836049i | \(0.684860\pi\) | |||||||
\(8\) | 3.06668 | 1.08423 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.214320 | −0.0646198 | −0.0323099 | − | 0.999478i | \(-0.510286\pi\) | ||||
−0.0323099 | + | 0.999478i | \(0.510286\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | 3.52543 | 0.942210 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.67307 | −0.668268 | ||||||||
\(17\) | 6.42864 | 1.55917 | 0.779587 | − | 0.626294i | \(-0.215429\pi\) | ||||
0.779587 | + | 0.626294i | \(0.215429\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.21432 | 0.508000 | 0.254000 | − | 0.967204i | \(-0.418254\pi\) | ||||
0.254000 | + | 0.967204i | \(0.418254\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.260253 | 0.0554861 | ||||||||
\(23\) | 4.68889 | 0.977702 | 0.488851 | − | 0.872367i | \(-0.337416\pi\) | ||||
0.488851 | + | 0.872367i | \(0.337416\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.21432 | −0.238148 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.52543 | 0.288279 | ||||||||
\(29\) | −8.70964 | −1.61734 | −0.808669 | − | 0.588263i | \(-0.799812\pi\) | ||||
−0.808669 | + | 0.588263i | \(0.799812\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.59210 | −1.00437 | −0.502186 | − | 0.864760i | \(-0.667471\pi\) | ||||
−0.502186 | + | 0.864760i | \(0.667471\pi\) | |||||||
\(32\) | −2.88739 | −0.510423 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −7.80642 | −1.33879 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.28100 | −0.374993 | −0.187497 | − | 0.982265i | \(-0.560037\pi\) | ||||
−0.187497 | + | 0.982265i | \(0.560037\pi\) | |||||||
\(38\) | −2.68889 | −0.436196 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.05086 | −0.476464 | −0.238232 | − | 0.971208i | \(-0.576568\pi\) | ||||
−0.238232 | + | 0.971208i | \(0.576568\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.36196 | −0.970190 | −0.485095 | − | 0.874461i | \(-0.661215\pi\) | ||||
−0.485095 | + | 0.874461i | \(0.661215\pi\) | |||||||
\(44\) | 0.112610 | 0.0169765 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.69381 | −0.839507 | ||||||||
\(47\) | 1.09679 | 0.159983 | 0.0799915 | − | 0.996796i | \(-0.474511\pi\) | ||||
0.0799915 | + | 0.996796i | \(0.474511\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.42864 | 0.204091 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.525428 | −0.0728637 | ||||||||
\(53\) | −6.23506 | −0.856452 | −0.428226 | − | 0.903672i | \(-0.640861\pi\) | ||||
−0.428226 | + | 0.903672i | \(0.640861\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −8.90321 | −1.18974 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 10.5763 | 1.38873 | ||||||||
\(59\) | 9.26517 | 1.20622 | 0.603112 | − | 0.797657i | \(-0.293927\pi\) | ||||
0.603112 | + | 0.797657i | \(0.293927\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.280996 | −0.0359779 | −0.0179889 | − | 0.999838i | \(-0.505726\pi\) | ||||
−0.0179889 | + | 0.999838i | \(0.505726\pi\) | |||||||
\(62\) | 6.79060 | 0.862407 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.85236 | 1.10654 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.76049 | 0.948095 | 0.474047 | − | 0.880499i | \(-0.342793\pi\) | ||||
0.474047 | + | 0.880499i | \(0.342793\pi\) | |||||||
\(68\) | −3.37778 | −0.409617 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.08097 | 0.721678 | 0.360839 | − | 0.932628i | \(-0.382490\pi\) | ||||
0.360839 | + | 0.932628i | \(0.382490\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.2810 | 1.20330 | 0.601650 | − | 0.798760i | \(-0.294510\pi\) | ||||
0.601650 | + | 0.798760i | \(0.294510\pi\) | |||||||
\(74\) | 2.76986 | 0.321990 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.16346 | −0.133459 | ||||||||
\(77\) | 0.622216 | 0.0709081 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.2351 | −1.60157 | −0.800785 | − | 0.598952i | \(-0.795584\pi\) | ||||
−0.800785 | + | 0.598952i | \(0.795584\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.70471 | 0.409117 | ||||||||
\(83\) | 9.52543 | 1.04555 | 0.522776 | − | 0.852470i | \(-0.324897\pi\) | ||||
0.522776 | + | 0.852470i | \(0.324897\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 7.72546 | 0.833057 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.657249 | −0.0700630 | ||||||||
\(89\) | 5.61285 | 0.594961 | 0.297480 | − | 0.954728i | \(-0.403854\pi\) | ||||
0.297480 | + | 0.954728i | \(0.403854\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.90321 | −0.304339 | ||||||||
\(92\) | −2.46367 | −0.256856 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.33185 | −0.137370 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 18.0415 | 1.83184 | 0.915918 | − | 0.401366i | \(-0.131464\pi\) | ||||
0.915918 | + | 0.401366i | \(0.131464\pi\) | |||||||
\(98\) | −1.73483 | −0.175244 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.93978 | −0.392022 | −0.196011 | − | 0.980602i | \(-0.562799\pi\) | ||||
−0.196011 | + | 0.980602i | \(0.562799\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.82225 | −0.278084 | −0.139042 | − | 0.990286i | \(-0.544402\pi\) | ||||
−0.139042 | + | 0.990286i | \(0.544402\pi\) | |||||||
\(104\) | 3.06668 | 0.300712 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.57136 | 0.735396 | ||||||||
\(107\) | 17.1175 | 1.65481 | 0.827407 | − | 0.561603i | \(-0.189815\pi\) | ||||
0.827407 | + | 0.561603i | \(0.189815\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −16.7239 | −1.60186 | −0.800931 | − | 0.598757i | \(-0.795662\pi\) | ||||
−0.800931 | + | 0.598757i | \(0.795662\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 7.76049 | 0.733297 | ||||||||
\(113\) | 1.18421 | 0.111401 | 0.0557005 | − | 0.998448i | \(-0.482261\pi\) | ||||
0.0557005 | + | 0.998448i | \(0.482261\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.57628 | 0.424897 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −11.2509 | −1.03573 | ||||||||
\(119\) | −18.6637 | −1.71090 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.9541 | −0.995824 | ||||||||
\(122\) | 0.341219 | 0.0308925 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.93825 | 0.263862 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.30174 | −0.204246 | −0.102123 | − | 0.994772i | \(-0.532564\pi\) | ||||
−0.102123 | + | 0.994772i | \(0.532564\pi\) | |||||||
\(128\) | −4.97481 | −0.439715 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 13.4193 | 1.17245 | 0.586224 | − | 0.810149i | \(-0.300614\pi\) | ||||
0.586224 | + | 0.810149i | \(0.300614\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.42864 | −0.557434 | ||||||||
\(134\) | −9.42372 | −0.814085 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 19.7146 | 1.69051 | ||||||||
\(137\) | 19.1526 | 1.63631 | 0.818157 | − | 0.574995i | \(-0.194996\pi\) | ||||
0.818157 | + | 0.574995i | \(0.194996\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 19.0923 | 1.61939 | 0.809696 | − | 0.586850i | \(-0.199632\pi\) | ||||
0.809696 | + | 0.586850i | \(0.199632\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.38424 | −0.619671 | ||||||||
\(143\) | −0.214320 | −0.0179223 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −12.4844 | −1.03322 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.19850 | 0.0985160 | ||||||||
\(149\) | 3.57136 | 0.292577 | 0.146289 | − | 0.989242i | \(-0.453267\pi\) | ||||
0.146289 | + | 0.989242i | \(0.453267\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.26517 | −0.102958 | −0.0514792 | − | 0.998674i | \(-0.516394\pi\) | ||||
−0.0514792 | + | 0.998674i | \(0.516394\pi\) | |||||||
\(152\) | 6.79060 | 0.550791 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.755569 | −0.0608855 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.61285 | 0.447954 | 0.223977 | − | 0.974594i | \(-0.428096\pi\) | ||||
0.223977 | + | 0.974594i | \(0.428096\pi\) | |||||||
\(158\) | 17.2859 | 1.37519 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −13.6128 | −1.07284 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.71900 | −0.291295 | −0.145647 | − | 0.989337i | \(-0.546527\pi\) | ||||
−0.145647 | + | 0.989337i | \(0.546527\pi\) | |||||||
\(164\) | 1.60300 | 0.125174 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.5669 | −0.897767 | ||||||||
\(167\) | −7.03657 | −0.544506 | −0.272253 | − | 0.962226i | \(-0.587769\pi\) | ||||
−0.272253 | + | 0.962226i | \(0.587769\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.34275 | 0.254882 | ||||||||
\(173\) | 0.723926 | 0.0550391 | 0.0275195 | − | 0.999621i | \(-0.491239\pi\) | ||||
0.0275195 | + | 0.999621i | \(0.491239\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.572892 | 0.0431833 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.81579 | −0.510865 | ||||||||
\(179\) | 4.04149 | 0.302075 | 0.151037 | − | 0.988528i | \(-0.451739\pi\) | ||||
0.151037 | + | 0.988528i | \(0.451739\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.34122 | 0.174021 | 0.0870107 | − | 0.996207i | \(-0.472269\pi\) | ||||
0.0870107 | + | 0.996207i | \(0.472269\pi\) | |||||||
\(182\) | 3.52543 | 0.261322 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 14.3793 | 1.06006 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.37778 | −0.100754 | ||||||||
\(188\) | −0.576283 | −0.0420297 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.10171 | 0.152074 | 0.0760372 | − | 0.997105i | \(-0.475773\pi\) | ||||
0.0760372 | + | 0.997105i | \(0.475773\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −13.5210 | −0.973262 | −0.486631 | − | 0.873608i | \(-0.661774\pi\) | ||||
−0.486631 | + | 0.873608i | \(0.661774\pi\) | |||||||
\(194\) | −21.9081 | −1.57291 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.750647 | −0.0536176 | ||||||||
\(197\) | 2.00000 | 0.142494 | 0.0712470 | − | 0.997459i | \(-0.477302\pi\) | ||||
0.0712470 | + | 0.997459i | \(0.477302\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 22.1432 | 1.56969 | 0.784845 | − | 0.619692i | \(-0.212743\pi\) | ||||
0.784845 | + | 0.619692i | \(0.212743\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 4.78415 | 0.336612 | ||||||||
\(203\) | 25.2859 | 1.77472 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 3.42711 | 0.238778 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.67307 | −0.185344 | ||||||||
\(209\) | −0.474572 | −0.0328269 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 19.6543 | 1.35306 | 0.676530 | − | 0.736415i | \(-0.263483\pi\) | ||||
0.676530 | + | 0.736415i | \(0.263483\pi\) | |||||||
\(212\) | 3.27607 | 0.225002 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −20.7862 | −1.42091 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.2351 | 1.10211 | ||||||||
\(218\) | 20.3082 | 1.37544 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.42864 | 0.432437 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 19.6686 | 1.31711 | 0.658554 | − | 0.752533i | \(-0.271168\pi\) | ||||
0.658554 | + | 0.752533i | \(0.271168\pi\) | |||||||
\(224\) | 8.38271 | 0.560093 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.43801 | −0.0956548 | ||||||||
\(227\) | 13.2716 | 0.880869 | 0.440434 | − | 0.897785i | \(-0.354824\pi\) | ||||
0.440434 | + | 0.897785i | \(0.354824\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.42864 | −0.160489 | −0.0802445 | − | 0.996775i | \(-0.525570\pi\) | ||||
−0.0802445 | + | 0.996775i | \(0.525570\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −26.7096 | −1.75357 | ||||||||
\(233\) | −16.1748 | −1.05965 | −0.529825 | − | 0.848107i | \(-0.677742\pi\) | ||||
−0.529825 | + | 0.848107i | \(0.677742\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −4.86818 | −0.316891 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 22.6637 | 1.46907 | ||||||||
\(239\) | 12.7763 | 0.826431 | 0.413215 | − | 0.910633i | \(-0.364406\pi\) | ||||
0.413215 | + | 0.910633i | \(0.364406\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.89829 | −0.379942 | −0.189971 | − | 0.981790i | \(-0.560839\pi\) | ||||
−0.189971 | + | 0.981790i | \(0.560839\pi\) | |||||||
\(242\) | 13.3017 | 0.855068 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.147643 | 0.00945189 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.21432 | 0.140894 | ||||||||
\(248\) | −17.1492 | −1.08897 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.07313 | 0.130855 | 0.0654274 | − | 0.997857i | \(-0.479159\pi\) | ||||
0.0654274 | + | 0.997857i | \(0.479159\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.00492 | −0.0631789 | ||||||||
\(254\) | 2.79505 | 0.175377 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −11.6637 | −0.728981 | ||||||||
\(257\) | −18.3970 | −1.14757 | −0.573787 | − | 0.819005i | \(-0.694526\pi\) | ||||
−0.573787 | + | 0.819005i | \(0.694526\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.62222 | 0.411484 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −16.2953 | −1.00673 | ||||||||
\(263\) | −11.0257 | −0.679872 | −0.339936 | − | 0.940449i | \(-0.610405\pi\) | ||||
−0.339936 | + | 0.940449i | \(0.610405\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 7.80642 | 0.478643 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.07758 | −0.249078 | ||||||||
\(269\) | 16.1432 | 0.984268 | 0.492134 | − | 0.870519i | \(-0.336217\pi\) | ||||
0.492134 | + | 0.870519i | \(0.336217\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.0114 | 0.790385 | 0.395192 | − | 0.918598i | \(-0.370678\pi\) | ||||
0.395192 | + | 0.918598i | \(0.370678\pi\) | |||||||
\(272\) | −17.1842 | −1.04195 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −23.2573 | −1.40503 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.57136 | 0.454919 | 0.227459 | − | 0.973788i | \(-0.426958\pi\) | ||||
0.227459 | + | 0.973788i | \(0.426958\pi\) | |||||||
\(278\) | −23.1842 | −1.39050 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.75557 | −0.403003 | −0.201502 | − | 0.979488i | \(-0.564582\pi\) | ||||
−0.201502 | + | 0.979488i | \(0.564582\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 19.0859 | 1.13454 | 0.567269 | − | 0.823532i | \(-0.308000\pi\) | ||||
0.567269 | + | 0.823532i | \(0.308000\pi\) | |||||||
\(284\) | −3.19511 | −0.189595 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.260253 | 0.0153891 | ||||||||
\(287\) | 8.85728 | 0.522829 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 24.3274 | 1.43102 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.40192 | −0.316123 | ||||||||
\(293\) | 8.08742 | 0.472472 | 0.236236 | − | 0.971696i | \(-0.424086\pi\) | ||||
0.236236 | + | 0.971696i | \(0.424086\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −6.99508 | −0.406581 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −4.33677 | −0.251223 | ||||||||
\(299\) | 4.68889 | 0.271166 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 18.4701 | 1.06460 | ||||||||
\(302\) | 1.53633 | 0.0884057 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.91903 | −0.339480 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −13.4336 | −0.766694 | −0.383347 | − | 0.923604i | \(-0.625229\pi\) | ||||
−0.383347 | + | 0.923604i | \(0.625229\pi\) | |||||||
\(308\) | −0.326929 | −0.0186285 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −20.2034 | −1.14563 | −0.572815 | − | 0.819684i | \(-0.694149\pi\) | ||||
−0.572815 | + | 0.819684i | \(0.694149\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 15.1111 | 0.854129 | 0.427064 | − | 0.904221i | \(-0.359548\pi\) | ||||
0.427064 | + | 0.904221i | \(0.359548\pi\) | |||||||
\(314\) | −6.81579 | −0.384637 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.47949 | 0.420754 | ||||||||
\(317\) | −22.2810 | −1.25143 | −0.625713 | − | 0.780054i | \(-0.715192\pi\) | ||||
−0.625713 | + | 0.780054i | \(0.715192\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.86665 | 0.104512 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 16.5303 | 0.921200 | ||||||||
\(323\) | 14.2351 | 0.792060 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 4.51606 | 0.250121 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.35599 | −0.516598 | ||||||||
\(329\) | −3.18421 | −0.175551 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.25581 | 0.453780 | 0.226890 | − | 0.973920i | \(-0.427144\pi\) | ||||
0.226890 | + | 0.973920i | \(0.427144\pi\) | |||||||
\(332\) | −5.00492 | −0.274681 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 8.54464 | 0.467542 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.7462 | −0.748803 | −0.374402 | − | 0.927267i | \(-0.622152\pi\) | ||||
−0.374402 | + | 0.927267i | \(0.622152\pi\) | |||||||
\(338\) | −1.21432 | −0.0660503 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.19850 | 0.0649023 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.1748 | 0.873359 | ||||||||
\(344\) | −19.5101 | −1.05191 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.879077 | −0.0472595 | ||||||||
\(347\) | −1.21924 | −0.0654523 | −0.0327262 | − | 0.999464i | \(-0.510419\pi\) | ||||
−0.0327262 | + | 0.999464i | \(0.510419\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 22.5116 | 1.20502 | 0.602510 | − | 0.798112i | \(-0.294168\pi\) | ||||
0.602510 | + | 0.798112i | \(0.294168\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.618825 | 0.0329835 | ||||||||
\(353\) | 14.2810 | 0.760101 | 0.380050 | − | 0.924966i | \(-0.375907\pi\) | ||||
0.380050 | + | 0.924966i | \(0.375907\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2.94914 | −0.156304 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.90766 | −0.259378 | ||||||||
\(359\) | 12.1541 | 0.641469 | 0.320734 | − | 0.947169i | \(-0.396070\pi\) | ||||
0.320734 | + | 0.947169i | \(0.396070\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.0968 | −0.741936 | ||||||||
\(362\) | −2.84299 | −0.149424 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.52543 | 0.0799541 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.65725 | −0.243106 | −0.121553 | − | 0.992585i | \(-0.538788\pi\) | ||||
−0.121553 | + | 0.992585i | \(0.538788\pi\) | |||||||
\(368\) | −12.5337 | −0.653366 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 18.1017 | 0.939794 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 34.9403 | 1.80914 | 0.904569 | − | 0.426328i | \(-0.140193\pi\) | ||||
0.904569 | + | 0.426328i | \(0.140193\pi\) | |||||||
\(374\) | 1.67307 | 0.0865124 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.36349 | 0.173459 | ||||||||
\(377\) | −8.70964 | −0.448569 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.4717 | −0.897459 | −0.448729 | − | 0.893668i | \(-0.648123\pi\) | ||||
−0.448729 | + | 0.893668i | \(0.648123\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.55215 | −0.130579 | ||||||||
\(383\) | 18.6780 | 0.954401 | 0.477200 | − | 0.878794i | \(-0.341652\pi\) | ||||
0.477200 | + | 0.878794i | \(0.341652\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 16.4188 | 0.835695 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −9.47949 | −0.481248 | ||||||||
\(389\) | −1.61285 | −0.0817746 | −0.0408873 | − | 0.999164i | \(-0.513018\pi\) | ||||
−0.0408873 | + | 0.999164i | \(0.513018\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 30.1432 | 1.52441 | ||||||||
\(392\) | 4.38118 | 0.221283 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.42864 | −0.122353 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.57628 | 0.330054 | 0.165027 | − | 0.986289i | \(-0.447229\pi\) | ||||
0.165027 | + | 0.986289i | \(0.447229\pi\) | |||||||
\(398\) | −26.8889 | −1.34782 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 21.9081 | 1.09404 | 0.547020 | − | 0.837120i | \(-0.315762\pi\) | ||||
0.547020 | + | 0.837120i | \(0.315762\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.59210 | −0.278563 | ||||||||
\(404\) | 2.07007 | 0.102990 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −30.7052 | −1.52387 | ||||||||
\(407\) | 0.488863 | 0.0242320 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.1936 | −0.504040 | −0.252020 | − | 0.967722i | \(-0.581095\pi\) | ||||
−0.252020 | + | 0.967722i | \(0.581095\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.48289 | 0.0730565 | ||||||||
\(413\) | −26.8988 | −1.32360 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −2.88739 | −0.141566 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.576283 | 0.0281869 | ||||||||
\(419\) | −7.31756 | −0.357486 | −0.178743 | − | 0.983896i | \(-0.557203\pi\) | ||||
−0.178743 | + | 0.983896i | \(0.557203\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.86665 | −0.383397 | −0.191698 | − | 0.981454i | \(-0.561400\pi\) | ||||
−0.191698 | + | 0.981454i | \(0.561400\pi\) | |||||||
\(422\) | −23.8666 | −1.16181 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −19.1209 | −0.928594 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.815792 | 0.0394789 | ||||||||
\(428\) | −8.99402 | −0.434743 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 38.9195 | 1.87469 | 0.937343 | − | 0.348407i | \(-0.113277\pi\) | ||||
0.937343 | + | 0.348407i | \(0.113277\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −20.2034 | −0.970914 | −0.485457 | − | 0.874260i | \(-0.661347\pi\) | ||||
−0.485457 | + | 0.874260i | \(0.661347\pi\) | |||||||
\(434\) | −19.7146 | −0.946329 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.78721 | 0.420831 | ||||||||
\(437\) | 10.3827 | 0.496672 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.8889 | 0.519700 | 0.259850 | − | 0.965649i | \(-0.416327\pi\) | ||||
0.259850 | + | 0.965649i | \(0.416327\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −7.80642 | −0.371314 | ||||||||
\(443\) | 28.6287 | 1.36019 | 0.680095 | − | 0.733124i | \(-0.261939\pi\) | ||||
0.680095 | + | 0.733124i | \(0.261939\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −23.8840 | −1.13094 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −25.7003 | −1.21422 | ||||||||
\(449\) | 10.9304 | 0.515838 | 0.257919 | − | 0.966167i | \(-0.416963\pi\) | ||||
0.257919 | + | 0.966167i | \(0.416963\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.653858 | 0.0307890 | ||||||||
\(452\) | −0.622216 | −0.0292666 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −16.1160 | −0.756361 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −11.4064 | −0.533567 | −0.266784 | − | 0.963756i | \(-0.585961\pi\) | ||||
−0.266784 | + | 0.963756i | \(0.585961\pi\) | |||||||
\(458\) | 2.94914 | 0.137804 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 26.1334 | 1.21715 | 0.608576 | − | 0.793496i | \(-0.291741\pi\) | ||||
0.608576 | + | 0.793496i | \(0.291741\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.92242 | −0.368186 | −0.184093 | − | 0.982909i | \(-0.558935\pi\) | ||||
−0.184093 | + | 0.982909i | \(0.558935\pi\) | |||||||
\(464\) | 23.2815 | 1.08082 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 19.6414 | 0.909872 | ||||||||
\(467\) | −10.8923 | −0.504036 | −0.252018 | − | 0.967723i | \(-0.581094\pi\) | ||||
−0.252018 | + | 0.967723i | \(0.581094\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −22.5303 | −1.04035 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 28.4133 | 1.30783 | ||||||||
\(473\) | 1.36349 | 0.0626935 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 9.80642 | 0.449477 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −15.5145 | −0.709618 | ||||||||
\(479\) | 9.13182 | 0.417244 | 0.208622 | − | 0.977996i | \(-0.433102\pi\) | ||||
0.208622 | + | 0.977996i | \(0.433102\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.28100 | −0.104004 | ||||||||
\(482\) | 7.16241 | 0.326239 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.75557 | 0.261617 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.1891 | −0.733600 | −0.366800 | − | 0.930300i | \(-0.619547\pi\) | ||||
−0.366800 | + | 0.930300i | \(0.619547\pi\) | |||||||
\(488\) | −0.861725 | −0.0390084 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −26.2636 | −1.18526 | −0.592631 | − | 0.805474i | \(-0.701911\pi\) | ||||
−0.592631 | + | 0.805474i | \(0.701911\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −55.9911 | −2.52171 | ||||||||
\(494\) | −2.68889 | −0.120979 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 14.9481 | 0.671189 | ||||||||
\(497\) | −17.6543 | −0.791905 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 30.0306 | 1.34435 | 0.672177 | − | 0.740391i | \(-0.265359\pi\) | ||||
0.672177 | + | 0.740391i | \(0.265359\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.51744 | −0.112359 | ||||||||
\(503\) | 16.7304 | 0.745971 | 0.372985 | − | 0.927837i | \(-0.378334\pi\) | ||||
0.372985 | + | 0.927837i | \(0.378334\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 1.22030 | 0.0542488 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.20940 | 0.0536583 | ||||||||
\(509\) | 11.9684 | 0.530488 | 0.265244 | − | 0.964181i | \(-0.414547\pi\) | ||||
0.265244 | + | 0.964181i | \(0.414547\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −29.8479 | −1.32039 | ||||||||
\(512\) | 24.1131 | 1.06566 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 22.3398 | 0.985368 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.235063 | −0.0103381 | ||||||||
\(518\) | −8.04149 | −0.353323 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.75065 | −0.251940 | −0.125970 | − | 0.992034i | \(-0.540204\pi\) | ||||
−0.125970 | + | 0.992034i | \(0.540204\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.8035 | −0.909674 | −0.454837 | − | 0.890575i | \(-0.650302\pi\) | ||||
−0.454837 | + | 0.890575i | \(0.650302\pi\) | |||||||
\(524\) | −7.05086 | −0.308018 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.3887 | 0.583774 | ||||||||
\(527\) | −35.9496 | −1.56599 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.01429 | −0.0440996 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.37778 | 0.146446 | ||||||||
\(533\) | −3.05086 | −0.132147 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 23.7989 | 1.02796 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −19.6030 | −0.845145 | ||||||||
\(539\) | −0.306186 | −0.0131883 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 16.6222 | 0.714645 | 0.357322 | − | 0.933981i | \(-0.383690\pi\) | ||||
0.357322 | + | 0.933981i | \(0.383690\pi\) | |||||||
\(542\) | −15.8000 | −0.678667 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −18.5620 | −0.795839 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −29.9748 | −1.28163 | −0.640815 | − | 0.767695i | \(-0.721404\pi\) | ||||
−0.640815 | + | 0.767695i | \(0.721404\pi\) | |||||||
\(548\) | −10.0633 | −0.429882 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −19.2859 | −0.821608 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 41.3274 | 1.75742 | ||||||||
\(554\) | −9.19405 | −0.390618 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −10.0316 | −0.425436 | ||||||||
\(557\) | 5.03657 | 0.213406 | 0.106703 | − | 0.994291i | \(-0.465971\pi\) | ||||
0.106703 | + | 0.994291i | \(0.465971\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −6.36196 | −0.269082 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.20342 | 0.346040 | ||||||||
\(563\) | −2.88247 | −0.121482 | −0.0607408 | − | 0.998154i | \(-0.519346\pi\) | ||||
−0.0607408 | + | 0.998154i | \(0.519346\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −23.1764 | −0.974176 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 18.6484 | 0.782468 | ||||||||
\(569\) | 4.37286 | 0.183320 | 0.0916600 | − | 0.995790i | \(-0.470783\pi\) | ||||
0.0916600 | + | 0.995790i | \(0.470783\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.58120 | −0.0661714 | −0.0330857 | − | 0.999453i | \(-0.510533\pi\) | ||||
−0.0330857 | + | 0.999453i | \(0.510533\pi\) | |||||||
\(572\) | 0.112610 | 0.00470844 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −10.7556 | −0.448929 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.61729 | −0.317112 | −0.158556 | − | 0.987350i | \(-0.550684\pi\) | ||||
−0.158556 | + | 0.987350i | \(0.550684\pi\) | |||||||
\(578\) | −29.5412 | −1.22875 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −27.6543 | −1.14730 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.33630 | 0.0553438 | ||||||||
\(584\) | 31.5285 | 1.30466 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.82071 | −0.405690 | ||||||||
\(587\) | 46.8243 | 1.93264 | 0.966322 | − | 0.257336i | \(-0.0828449\pi\) | ||||
0.966322 | + | 0.257336i | \(0.0828449\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.3827 | −0.510221 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.09726 | 0.250596 | ||||||||
\(593\) | 15.9398 | 0.654568 | 0.327284 | − | 0.944926i | \(-0.393867\pi\) | ||||
0.327284 | + | 0.944926i | \(0.393867\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.87649 | −0.0768641 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −5.69381 | −0.232837 | ||||||||
\(599\) | −18.4889 | −0.755434 | −0.377717 | − | 0.925921i | \(-0.623291\pi\) | ||||
−0.377717 | + | 0.925921i | \(0.623291\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 20.7556 | 0.846637 | 0.423319 | − | 0.905981i | \(-0.360865\pi\) | ||||
0.423319 | + | 0.905981i | \(0.360865\pi\) | |||||||
\(602\) | −22.4286 | −0.914123 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.664758 | 0.0270486 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 36.0765 | 1.46430 | 0.732150 | − | 0.681143i | \(-0.238517\pi\) | ||||
0.732150 | + | 0.681143i | \(0.238517\pi\) | |||||||
\(608\) | −6.39361 | −0.259295 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.09679 | 0.0443713 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.94962 | 0.401861 | 0.200931 | − | 0.979605i | \(-0.435603\pi\) | ||||
0.200931 | + | 0.979605i | \(0.435603\pi\) | |||||||
\(614\) | 16.3126 | 0.658325 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.90813 | 0.0768809 | ||||||||
\(617\) | −2.09187 | −0.0842154 | −0.0421077 | − | 0.999113i | \(-0.513407\pi\) | ||||
−0.0421077 | + | 0.999113i | \(0.513407\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 18.4681 | 0.742296 | 0.371148 | − | 0.928574i | \(-0.378964\pi\) | ||||
0.371148 | + | 0.928574i | \(0.378964\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 24.5334 | 0.983700 | ||||||||
\(623\) | −16.2953 | −0.652857 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −18.3497 | −0.733401 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.94914 | −0.117684 | ||||||||
\(629\) | −14.6637 | −0.584680 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −38.6657 | −1.53926 | −0.769629 | − | 0.638492i | \(-0.779559\pi\) | ||||
−0.769629 | + | 0.638492i | \(0.779559\pi\) | |||||||
\(632\) | −43.6543 | −1.73648 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 27.0563 | 1.07454 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.42864 | 0.0566048 | ||||||||
\(638\) | −2.26671 | −0.0897398 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −24.5718 | −0.970529 | −0.485265 | − | 0.874367i | \(-0.661277\pi\) | ||||
−0.485265 | + | 0.874367i | \(0.661277\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 27.4938 | 1.08425 | 0.542125 | − | 0.840298i | \(-0.317620\pi\) | ||||
0.542125 | + | 0.840298i | \(0.317620\pi\) | |||||||
\(644\) | 7.15257 | 0.281851 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −17.2859 | −0.680105 | ||||||||
\(647\) | −13.7812 | −0.541796 | −0.270898 | − | 0.962608i | \(-0.587321\pi\) | ||||
−0.270898 | + | 0.962608i | \(0.587321\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.98571 | −0.0779459 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.95407 | 0.0765272 | ||||||||
\(653\) | 2.12045 | 0.0829795 | 0.0414897 | − | 0.999139i | \(-0.486790\pi\) | ||||
0.0414897 | + | 0.999139i | \(0.486790\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 8.15515 | 0.318405 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 3.86665 | 0.150738 | ||||||||
\(659\) | −33.8894 | −1.32014 | −0.660072 | − | 0.751203i | \(-0.729474\pi\) | ||||
−0.660072 | + | 0.751203i | \(0.729474\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −37.3689 | −1.45348 | −0.726741 | − | 0.686912i | \(-0.758966\pi\) | ||||
−0.726741 | + | 0.686912i | \(0.758966\pi\) | |||||||
\(662\) | −10.0252 | −0.389640 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 29.2114 | 1.13362 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −40.8385 | −1.58127 | ||||||||
\(668\) | 3.69721 | 0.143049 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.0602231 | 0.00232489 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −35.4608 | −1.36691 | −0.683456 | − | 0.729992i | \(-0.739524\pi\) | ||||
−0.683456 | + | 0.729992i | \(0.739524\pi\) | |||||||
\(674\) | 16.6923 | 0.642963 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −0.525428 | −0.0202088 | ||||||||
\(677\) | −15.3047 | −0.588206 | −0.294103 | − | 0.955774i | \(-0.595021\pi\) | ||||
−0.294103 | + | 0.955774i | \(0.595021\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −52.3783 | −2.01009 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.45536 | −0.0557286 | ||||||||
\(683\) | 13.0968 | 0.501135 | 0.250567 | − | 0.968099i | \(-0.419383\pi\) | ||||
0.250567 | + | 0.968099i | \(0.419383\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −19.6414 | −0.749913 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 17.0060 | 0.648347 | ||||||||
\(689\) | −6.23506 | −0.237537 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −18.4079 | −0.700269 | −0.350135 | − | 0.936699i | \(-0.613864\pi\) | ||||
−0.350135 | + | 0.936699i | \(0.613864\pi\) | |||||||
\(692\) | −0.380371 | −0.0144595 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.48055 | 0.0562009 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.6128 | −0.742890 | ||||||||
\(698\) | −27.3363 | −1.03469 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 31.3689 | 1.18479 | 0.592393 | − | 0.805649i | \(-0.298183\pi\) | ||||
0.592393 | + | 0.805649i | \(0.298183\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.05086 | −0.190497 | ||||||||
\(704\) | −1.89723 | −0.0715047 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −17.3417 | −0.652663 | ||||||||
\(707\) | 11.4380 | 0.430171 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.47949 | 0.356010 | 0.178005 | − | 0.984030i | \(-0.443036\pi\) | ||||
0.178005 | + | 0.984030i | \(0.443036\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 17.2128 | 0.645077 | ||||||||
\(713\) | −26.2208 | −0.981976 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −2.12351 | −0.0793592 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −14.7590 | −0.550799 | ||||||||
\(719\) | 29.6227 | 1.10474 | 0.552370 | − | 0.833599i | \(-0.313724\pi\) | ||||
0.552370 | + | 0.833599i | \(0.313724\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.19358 | 0.305145 | ||||||||
\(722\) | 17.1180 | 0.637066 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.23014 | −0.0457178 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 42.6702 | 1.58255 | 0.791274 | − | 0.611461i | \(-0.209418\pi\) | ||||
0.791274 | + | 0.611461i | \(0.209418\pi\) | |||||||
\(728\) | −8.90321 | −0.329975 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −40.8988 | −1.51270 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 26.0830 | 0.963397 | 0.481698 | − | 0.876337i | \(-0.340020\pi\) | ||||
0.481698 | + | 0.876337i | \(0.340020\pi\) | |||||||
\(734\) | 5.65539 | 0.208744 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −13.5387 | −0.499042 | ||||||||
\(737\) | −1.66323 | −0.0612657 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −28.2687 | −1.03988 | −0.519941 | − | 0.854202i | \(-0.674046\pi\) | ||||
−0.519941 | + | 0.854202i | \(0.674046\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −21.9813 | −0.806958 | ||||||||
\(743\) | −20.6681 | −0.758241 | −0.379120 | − | 0.925347i | \(-0.623773\pi\) | ||||
−0.379120 | + | 0.925347i | \(0.623773\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −42.4286 | −1.55342 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.723926 | 0.0264694 | ||||||||
\(749\) | −49.6958 | −1.81585 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.46028 | 0.0897770 | 0.0448885 | − | 0.998992i | \(-0.485707\pi\) | ||||
0.0448885 | + | 0.998992i | \(0.485707\pi\) | |||||||
\(752\) | −2.93179 | −0.106911 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 10.5763 | 0.385165 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −48.6035 | −1.76652 | −0.883262 | − | 0.468880i | \(-0.844658\pi\) | ||||
−0.883262 | + | 0.468880i | \(0.844658\pi\) | |||||||
\(758\) | 21.2162 | 0.770606 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 13.8252 | 0.501162 | 0.250581 | − | 0.968096i | \(-0.419378\pi\) | ||||
0.250581 | + | 0.968096i | \(0.419378\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 48.5531 | 1.75774 | ||||||||
\(764\) | −1.10430 | −0.0399520 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −22.6811 | −0.819500 | ||||||||
\(767\) | 9.26517 | 0.334546 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −38.9688 | −1.40525 | −0.702626 | − | 0.711559i | \(-0.747989\pi\) | ||||
−0.702626 | + | 0.711559i | \(0.747989\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.10430 | 0.255689 | ||||||||
\(773\) | 0.445992 | 0.0160412 | 0.00802061 | − | 0.999968i | \(-0.497447\pi\) | ||||
0.00802061 | + | 0.999968i | \(0.497447\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 55.3274 | 1.98614 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.95851 | 0.0702161 | ||||||||
\(779\) | −6.75557 | −0.242043 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.30327 | −0.0466347 | ||||||||
\(782\) | −36.6035 | −1.30894 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.81885 | −0.136388 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −33.9037 | −1.20854 | −0.604268 | − | 0.796781i | \(-0.706534\pi\) | ||||
−0.604268 | + | 0.796781i | \(0.706534\pi\) | |||||||
\(788\) | −1.05086 | −0.0374352 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.43801 | −0.122241 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.280996 | −0.00997847 | ||||||||
\(794\) | −7.98571 | −0.283402 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −11.6346 | −0.412379 | ||||||||
\(797\) | −10.2953 | −0.364678 | −0.182339 | − | 0.983236i | \(-0.558367\pi\) | ||||
−0.182339 | + | 0.983236i | \(0.558367\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.05086 | 0.249441 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −26.6035 | −0.939402 | ||||||||
\(803\) | −2.20342 | −0.0777570 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 6.79060 | 0.239189 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −12.0820 | −0.425044 | ||||||||
\(809\) | −7.94422 | −0.279304 | −0.139652 | − | 0.990201i | \(-0.544598\pi\) | ||||
−0.139652 | + | 0.990201i | \(0.544598\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −8.12245 | −0.285218 | −0.142609 | − | 0.989779i | \(-0.545549\pi\) | ||||
−0.142609 | + | 0.989779i | \(0.545549\pi\) | |||||||
\(812\) | −13.2859 | −0.466244 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.593635 | −0.0208069 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −14.0874 | −0.492856 | ||||||||
\(818\) | 12.3783 | 0.432796 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 22.2065 | 0.775012 | 0.387506 | − | 0.921867i | \(-0.373337\pi\) | ||||
0.387506 | + | 0.921867i | \(0.373337\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.1175 | −0.387533 | −0.193766 | − | 0.981048i | \(-0.562070\pi\) | ||||
−0.193766 | + | 0.981048i | \(0.562070\pi\) | |||||||
\(824\) | −8.65491 | −0.301508 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 32.6637 | 1.13652 | ||||||||
\(827\) | 23.1570 | 0.805248 | 0.402624 | − | 0.915365i | \(-0.368098\pi\) | ||||
0.402624 | + | 0.915365i | \(0.368098\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −27.1195 | −0.941901 | −0.470950 | − | 0.882160i | \(-0.656089\pi\) | ||||
−0.470950 | + | 0.882160i | \(0.656089\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 8.85236 | 0.306900 | ||||||||
\(833\) | 9.18421 | 0.318214 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0.249353 | 0.00862407 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 8.88586 | 0.306957 | ||||||||
\(839\) | −25.3955 | −0.876749 | −0.438374 | − | 0.898792i | \(-0.644446\pi\) | ||||
−0.438374 | + | 0.898792i | \(0.644446\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 46.8578 | 1.61578 | ||||||||
\(842\) | 9.55262 | 0.329205 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −10.3269 | −0.355468 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 31.8020 | 1.09273 | ||||||||
\(848\) | 16.6668 | 0.572339 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −10.6953 | −0.366632 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −25.0651 | −0.858214 | −0.429107 | − | 0.903254i | \(-0.641172\pi\) | ||||
−0.429107 | + | 0.903254i | \(0.641172\pi\) | |||||||
\(854\) | −0.990632 | −0.0338987 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 52.4939 | 1.79421 | ||||||||
\(857\) | 7.61285 | 0.260050 | 0.130025 | − | 0.991511i | \(-0.458494\pi\) | ||||
0.130025 | + | 0.991511i | \(0.458494\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 42.1432 | 1.43791 | 0.718954 | − | 0.695058i | \(-0.244621\pi\) | ||||
0.718954 | + | 0.695058i | \(0.244621\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −47.2607 | −1.60971 | ||||||||
\(863\) | 51.5768 | 1.75569 | 0.877847 | − | 0.478942i | \(-0.158980\pi\) | ||||
0.877847 | + | 0.478942i | \(0.158980\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 24.5334 | 0.833679 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −8.53035 | −0.289539 | ||||||||
\(869\) | 3.05086 | 0.103493 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.76049 | 0.262954 | ||||||||
\(872\) | −51.2869 | −1.73679 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −12.6079 | −0.426469 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 34.0701 | 1.15046 | 0.575232 | − | 0.817990i | \(-0.304912\pi\) | ||||
0.575232 | + | 0.817990i | \(0.304912\pi\) | |||||||
\(878\) | −13.2226 | −0.446242 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −3.71900 | −0.125296 | −0.0626482 | − | 0.998036i | \(-0.519955\pi\) | ||||
−0.0626482 | + | 0.998036i | \(0.519955\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 42.0163 | 1.41396 | 0.706981 | − | 0.707233i | \(-0.250057\pi\) | ||||
0.706981 | + | 0.707233i | \(0.250057\pi\) | |||||||
\(884\) | −3.37778 | −0.113607 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −34.7644 | −1.16793 | ||||||||
\(887\) | −40.3116 | −1.35353 | −0.676765 | − | 0.736199i | \(-0.736619\pi\) | ||||
−0.676765 | + | 0.736199i | \(0.736619\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.68244 | 0.224122 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −10.3344 | −0.346023 | ||||||||
\(893\) | 2.42864 | 0.0812713 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 14.4429 | 0.482504 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −13.2730 | −0.442926 | ||||||||
\(899\) | 48.7052 | 1.62441 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −40.0830 | −1.33536 | ||||||||
\(902\) | −0.793993 | −0.0264371 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.63158 | 0.120785 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −34.8419 | −1.15691 | −0.578454 | − | 0.815715i | \(-0.696344\pi\) | ||||
−0.578454 | + | 0.815715i | \(0.696344\pi\) | |||||||
\(908\) | −6.97328 | −0.231416 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −23.2672 | −0.770876 | −0.385438 | − | 0.922734i | \(-0.625950\pi\) | ||||
−0.385438 | + | 0.922734i | \(0.625950\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.04149 | −0.0675634 | ||||||||
\(914\) | 13.8510 | 0.458149 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.27607 | 0.0421627 | ||||||||
\(917\) | −38.9590 | −1.28654 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −3.22570 | −0.106406 | −0.0532029 | − | 0.998584i | \(-0.516943\pi\) | ||||
−0.0532029 | + | 0.998584i | \(0.516943\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −31.7342 | −1.04511 | ||||||||
\(923\) | 6.08097 | 0.200157 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 9.62036 | 0.316145 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 25.1481 | 0.825527 | ||||||||
\(929\) | 39.3461 | 1.29091 | 0.645453 | − | 0.763800i | \(-0.276669\pi\) | ||||
0.645453 | + | 0.763800i | \(0.276669\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.16346 | 0.103678 | ||||||||
\(932\) | 8.49871 | 0.278384 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 13.2268 | 0.432792 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 51.6040 | 1.68583 | 0.842914 | − | 0.538048i | \(-0.180838\pi\) | ||||
0.842914 | + | 0.538048i | \(0.180838\pi\) | |||||||
\(938\) | 27.3590 | 0.893305 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −37.5081 | −1.22273 | −0.611364 | − | 0.791349i | \(-0.709379\pi\) | ||||
−0.611364 | + | 0.791349i | \(0.709379\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −14.3051 | −0.465839 | ||||||||
\(944\) | −24.7665 | −0.806080 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.65572 | −0.0538320 | ||||||||
\(947\) | 38.1160 | 1.23860 | 0.619302 | − | 0.785153i | \(-0.287416\pi\) | ||||
0.619302 | + | 0.785153i | \(0.287416\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.2810 | 0.333735 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −57.2355 | −1.85501 | ||||||||
\(953\) | 28.7368 | 0.930877 | 0.465439 | − | 0.885080i | \(-0.345897\pi\) | ||||
0.465439 | + | 0.885080i | \(0.345897\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −6.71303 | −0.217115 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −11.0890 | −0.358268 | ||||||||
\(959\) | −55.6040 | −1.79555 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.271628 | 0.00876221 | ||||||||
\(962\) | 2.76986 | 0.0893038 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 3.09912 | 0.0998161 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 29.0593 | 0.934485 | 0.467242 | − | 0.884129i | \(-0.345248\pi\) | ||||
0.467242 | + | 0.884129i | \(0.345248\pi\) | |||||||
\(968\) | −33.5926 | −1.07971 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 39.8578 | 1.27910 | 0.639548 | − | 0.768751i | \(-0.279121\pi\) | ||||
0.639548 | + | 0.768751i | \(0.279121\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −55.4291 | −1.77698 | ||||||||
\(974\) | 19.6588 | 0.629908 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.751123 | 0.0240429 | ||||||||
\(977\) | 12.8617 | 0.411483 | 0.205742 | − | 0.978606i | \(-0.434039\pi\) | ||||
0.205742 | + | 0.978606i | \(0.434039\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.20294 | −0.0384463 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 31.8925 | 1.01773 | ||||||||
\(983\) | −45.4880 | −1.45084 | −0.725420 | − | 0.688306i | \(-0.758355\pi\) | ||||
−0.725420 | + | 0.688306i | \(0.758355\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 67.9911 | 2.16528 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.16346 | −0.0370147 | ||||||||
\(989\) | −29.8306 | −0.948557 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.07007 | 0.256354 | 0.128177 | − | 0.991751i | \(-0.459087\pi\) | ||||
0.128177 | + | 0.991751i | \(0.459087\pi\) | |||||||
\(992\) | 16.1466 | 0.512655 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 21.4380 | 0.679972 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −32.8158 | −1.03929 | −0.519643 | − | 0.854383i | \(-0.673935\pi\) | ||||
−0.519643 | + | 0.854383i | \(0.673935\pi\) | |||||||
\(998\) | −36.4667 | −1.15433 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))