Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [4096,2,Mod(1,4096)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(4096, 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("4096.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 4096 = 2^{12} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4096.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: | \(32.7067246679\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{16})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 4x^{2} + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 32) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-1.84776\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 4096.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.84776 | −1.06680 | −0.533402 | − | 0.845862i | \(-0.679087\pi\) | ||||
−0.533402 | + | 0.845862i | \(0.679087\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.37849 | −1.51091 | −0.755454 | − | 0.655202i | \(-0.772584\pi\) | ||||
−0.755454 | + | 0.655202i | \(0.772584\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.41421 | 0.534522 | 0.267261 | − | 0.963624i | \(-0.413881\pi\) | ||||
0.267261 | + | 0.963624i | \(0.413881\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.414214 | 0.138071 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.317025 | 0.0955867 | 0.0477934 | − | 0.998857i | \(-0.484781\pi\) | ||||
0.0477934 | + | 0.998857i | \(0.484781\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.84776 | 0.512476 | 0.256238 | − | 0.966614i | \(-0.417517\pi\) | ||||
0.256238 | + | 0.966614i | \(0.417517\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 6.24264 | 1.61184 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.82843 | 0.685994 | 0.342997 | − | 0.939336i | \(-0.388558\pi\) | ||||
0.342997 | + | 0.939336i | \(0.388558\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.99162 | −1.37457 | −0.687286 | − | 0.726387i | \(-0.741198\pi\) | ||||
−0.687286 | + | 0.726387i | \(0.741198\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.61313 | −0.570231 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.242641 | −0.0505941 | −0.0252970 | − | 0.999680i | \(-0.508053\pi\) | ||||
−0.0252970 | + | 0.999680i | \(0.508053\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.41421 | 1.28284 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.77791 | 0.919509 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.93015 | −0.544115 | −0.272058 | − | 0.962281i | \(-0.587704\pi\) | ||||
−0.272058 | + | 0.962281i | \(0.587704\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.00000 | −0.718421 | −0.359211 | − | 0.933257i | \(-0.616954\pi\) | ||||
−0.359211 | + | 0.933257i | \(0.616954\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.585786 | −0.101972 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −4.77791 | −0.807614 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.84776 | −0.303770 | −0.151885 | − | 0.988398i | \(-0.548534\pi\) | ||||
−0.151885 | + | 0.988398i | \(0.548534\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.41421 | −0.546712 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.24264 | −1.28728 | −0.643642 | − | 0.765327i | \(-0.722577\pi\) | ||||
−0.643642 | + | 0.765327i | \(0.722577\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.60474 | −1.31221 | −0.656106 | − | 0.754669i | \(-0.727797\pi\) | ||||
−0.656106 | + | 0.754669i | \(0.727797\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.39942 | −0.208613 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 11.6569 | 1.70033 | 0.850163 | − | 0.526519i | \(-0.176503\pi\) | ||||
0.850163 | + | 0.526519i | \(0.176503\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.00000 | −0.714286 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −5.22625 | −0.731822 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.15640 | −1.12037 | −0.560184 | − | 0.828368i | \(-0.689270\pi\) | ||||
−0.560184 | + | 0.828368i | \(0.689270\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.07107 | −0.144423 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 11.0711 | 1.46640 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.62567 | 0.862589 | 0.431294 | − | 0.902211i | \(-0.358057\pi\) | ||||
0.431294 | + | 0.902211i | \(0.358057\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.765367 | 0.0979952 | 0.0489976 | − | 0.998799i | \(-0.484397\pi\) | ||||
0.0489976 | + | 0.998799i | \(0.484397\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.585786 | 0.0738022 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −6.24264 | −0.774304 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.01254 | −0.490210 | −0.245105 | − | 0.969497i | \(-0.578822\pi\) | ||||
−0.245105 | + | 0.969497i | \(0.578822\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.448342 | 0.0539740 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.242641 | −0.0287962 | −0.0143981 | − | 0.999896i | \(-0.504583\pi\) | ||||
−0.0143981 | + | 0.999896i | \(0.504583\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.89949 | −1.15865 | −0.579324 | − | 0.815097i | \(-0.696683\pi\) | ||||
−0.579324 | + | 0.815097i | \(0.696683\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −11.8519 | −1.36854 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.448342 | 0.0510933 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.00000 | 0.675053 | 0.337526 | − | 0.941316i | \(-0.390410\pi\) | ||||
0.337526 | + | 0.941316i | \(0.390410\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −10.0711 | −1.11901 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.62567 | 0.727262 | 0.363631 | − | 0.931543i | \(-0.381537\pi\) | ||||
0.363631 | + | 0.931543i | \(0.381537\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.55582 | −1.03647 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.41421 | 0.580465 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.75736 | −0.398279 | −0.199140 | − | 0.979971i | \(-0.563815\pi\) | ||||
−0.199140 | + | 0.979971i | \(0.563815\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.61313 | 0.273930 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 7.39104 | 0.766415 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 20.2426 | 2.07685 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.51472 | 0.153796 | 0.0768982 | − | 0.997039i | \(-0.475498\pi\) | ||||
0.0768982 | + | 0.997039i | \(0.475498\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.131316 | 0.0131978 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −12.3003 | −1.22392 | −0.611961 | − | 0.790888i | \(-0.709619\pi\) | ||||
−0.611961 | + | 0.790888i | \(0.709619\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.5858 | 1.04305 | 0.521524 | − | 0.853236i | \(-0.325364\pi\) | ||||
0.521524 | + | 0.853236i | \(0.325364\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.82843 | 0.861566 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.317025 | −0.0306480 | −0.0153240 | − | 0.999883i | \(-0.504878\pi\) | ||||
−0.0153240 | + | 0.999883i | \(0.504878\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.64659 | 0.445063 | 0.222532 | − | 0.974926i | \(-0.428568\pi\) | ||||
0.222532 | + | 0.974926i | \(0.428568\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.41421 | 0.324063 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 17.6569 | 1.66102 | 0.830509 | − | 0.557006i | \(-0.188050\pi\) | ||||
0.830509 | + | 0.557006i | \(0.188050\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.819760 | 0.0764430 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.765367 | 0.0707582 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.00000 | 0.366679 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.8995 | −0.990863 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 15.2304 | 1.37328 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.77791 | −0.427349 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 20.9706 | 1.86084 | 0.930418 | − | 0.366499i | \(-0.119444\pi\) | ||||
0.930418 | + | 0.366499i | \(0.119444\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 15.8995 | 1.39987 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.50143 | 0.830144 | 0.415072 | − | 0.909789i | \(-0.363756\pi\) | ||||
0.415072 | + | 0.909789i | \(0.363756\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.47343 | −0.734739 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −16.1421 | −1.38929 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.75736 | −0.321013 | −0.160506 | − | 0.987035i | \(-0.551313\pi\) | ||||
−0.160506 | + | 0.987035i | \(0.551313\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.5684 | −1.15085 | −0.575427 | − | 0.817853i | \(-0.695164\pi\) | ||||
−0.575427 | + | 0.817853i | \(0.695164\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −21.5391 | −1.81392 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.585786 | 0.0489859 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.89949 | 0.822108 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 9.23880 | 0.762003 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 14.6508 | 1.20024 | 0.600118 | − | 0.799911i | \(-0.295120\pi\) | ||||
0.600118 | + | 0.799911i | \(0.295120\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −21.8995 | −1.78216 | −0.891078 | − | 0.453851i | \(-0.850050\pi\) | ||||
−0.891078 | + | 0.453851i | \(0.850050\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.17157 | 0.0947161 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 13.5140 | 1.08547 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.765367 | −0.0610829 | −0.0305415 | − | 0.999534i | \(-0.509723\pi\) | ||||
−0.0305415 | + | 0.999534i | \(0.509723\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 15.0711 | 1.19521 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.343146 | −0.0270437 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 19.6913 | 1.54234 | 0.771171 | − | 0.636628i | \(-0.219671\pi\) | ||||
0.771171 | + | 0.636628i | \(0.219671\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.97908 | 0.154071 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −4.72792 | −0.365858 | −0.182929 | − | 0.983126i | \(-0.558558\pi\) | ||||
−0.182929 | + | 0.983126i | \(0.558558\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.58579 | −0.737368 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.48181 | −0.189789 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.21371 | 0.0922765 | 0.0461383 | − | 0.998935i | \(-0.485309\pi\) | ||||
0.0461383 | + | 0.998935i | \(0.485309\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.07107 | 0.685708 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −12.2426 | −0.920213 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 15.5474 | 1.16207 | 0.581035 | − | 0.813879i | \(-0.302648\pi\) | ||||
0.581035 | + | 0.813879i | \(0.302648\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.72899 | 0.425832 | 0.212916 | − | 0.977070i | \(-0.431704\pi\) | ||||
0.212916 | + | 0.977070i | \(0.431704\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.41421 | −0.104542 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 6.24264 | 0.458968 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.896683 | 0.0655720 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 6.75699 | 0.491498 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.0000 | 0.868290 | 0.434145 | − | 0.900843i | \(-0.357051\pi\) | ||||
0.434145 | + | 0.900843i | \(0.357051\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −18.4853 | −1.33060 | −0.665300 | − | 0.746576i | \(-0.731696\pi\) | ||||
−0.665300 | + | 0.746576i | \(0.731696\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 11.5349 | 0.826031 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.7946 | 1.33906 | 0.669530 | − | 0.742785i | \(-0.266495\pi\) | ||||
0.669530 | + | 0.742785i | \(0.266495\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 25.4142 | 1.80157 | 0.900783 | − | 0.434270i | \(-0.142994\pi\) | ||||
0.900783 | + | 0.434270i | \(0.142994\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 7.41421 | 0.522958 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.14386 | −0.290842 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 27.8477 | 1.94497 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.100505 | −0.00698558 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −1.89949 | −0.131391 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.502734 | 0.0346097 | 0.0173048 | − | 0.999850i | \(-0.494491\pi\) | ||||
0.0173048 | + | 0.999850i | \(0.494491\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.448342 | 0.0307199 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 29.0711 | 1.98263 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.65685 | −0.384012 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 18.2919 | 1.23605 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 5.22625 | 0.351556 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.9706 | 0.868573 | 0.434287 | − | 0.900775i | \(-0.357001\pi\) | ||||
0.434287 | + | 0.900775i | \(0.357001\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.65685 | 0.177124 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −6.81138 | −0.452087 | −0.226044 | − | 0.974117i | \(-0.572579\pi\) | ||||
−0.226044 | + | 0.974117i | \(0.572579\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 26.8197 | 1.77230 | 0.886148 | − | 0.463402i | \(-0.153372\pi\) | ||||
0.886148 | + | 0.463402i | \(0.153372\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.828427 | −0.0545065 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 12.2426 | 0.802042 | 0.401021 | − | 0.916069i | \(-0.368655\pi\) | ||||
0.401021 | + | 0.916069i | \(0.368655\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −39.3826 | −2.56904 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −11.0866 | −0.720149 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −17.3137 | −1.11993 | −0.559965 | − | 0.828516i | \(-0.689186\pi\) | ||||
−0.559965 | + | 0.828516i | \(0.689186\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.48528 | −0.546585 | −0.273293 | − | 0.961931i | \(-0.588113\pi\) | ||||
−0.273293 | + | 0.961931i | \(0.588113\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 4.27518 | 0.274253 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 16.8925 | 1.07922 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −11.0711 | −0.704435 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −12.2426 | −0.775846 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 15.8101 | 0.997923 | 0.498961 | − | 0.866624i | \(-0.333715\pi\) | ||||
0.498961 | + | 0.866624i | \(0.333715\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0769232 | −0.00483612 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 17.6569 | 1.10572 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.00000 | 0.374270 | 0.187135 | − | 0.982334i | \(-0.440080\pi\) | ||||
0.187135 | + | 0.982334i | \(0.440080\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.61313 | −0.162372 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.21371 | −0.0751267 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.242641 | −0.0149619 | −0.00748093 | − | 0.999972i | \(-0.502381\pi\) | ||||
−0.00748093 | + | 0.999972i | \(0.502381\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 27.5563 | 1.69277 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.94269 | 0.424886 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 5.28064 | 0.321967 | 0.160983 | − | 0.986957i | \(-0.448533\pi\) | ||||
0.160983 | + | 0.986957i | \(0.448533\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 18.0000 | 1.09342 | 0.546711 | − | 0.837321i | \(-0.315880\pi\) | ||||
0.546711 | + | 0.837321i | \(0.315880\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −4.82843 | −0.292230 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.03347 | 0.122623 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.765367 | 0.0459864 | 0.0229932 | − | 0.999736i | \(-0.492680\pi\) | ||||
0.0229932 | + | 0.999736i | \(0.492680\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.65685 | −0.0991933 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −8.72792 | −0.520664 | −0.260332 | − | 0.965519i | \(-0.583832\pi\) | ||||
−0.260332 | + | 0.965519i | \(0.583832\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.5838 | −0.629143 | −0.314571 | − | 0.949234i | \(-0.601861\pi\) | ||||
−0.314571 | + | 0.949234i | \(0.601861\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −37.4035 | −2.21559 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −11.6569 | −0.688082 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.00000 | −0.529412 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.79884 | −0.164071 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 12.5629 | 0.733932 | 0.366966 | − | 0.930234i | \(-0.380397\pi\) | ||||
0.366966 | + | 0.930234i | \(0.380397\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −22.3848 | −1.30329 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.51472 | 0.0878929 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.448342 | −0.0259283 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −12.1689 | −0.701406 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 22.7279 | 1.30569 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.58579 | −0.148062 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.19278 | −0.182222 | −0.0911109 | − | 0.995841i | \(-0.529042\pi\) | ||||
−0.0911109 | + | 0.995841i | \(0.529042\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −19.5600 | −1.11273 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 12.2426 | 0.694216 | 0.347108 | − | 0.937825i | \(-0.387164\pi\) | ||||
0.347108 | + | 0.937825i | \(0.387164\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.4142 | −0.758216 | −0.379108 | − | 0.925352i | \(-0.623769\pi\) | ||||
−0.379108 | + | 0.925352i | \(0.623769\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.97908 | −0.111508 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 12.1146 | 0.680421 | 0.340211 | − | 0.940349i | \(-0.389502\pi\) | ||||
0.340211 | + | 0.940349i | \(0.389502\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.928932 | −0.0520102 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.585786 | 0.0326954 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −16.9469 | −0.942948 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 11.8519 | 0.657426 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −8.58579 | −0.474795 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 16.4853 | 0.908863 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.07401 | −0.388823 | −0.194411 | − | 0.980920i | \(-0.562280\pi\) | ||||
−0.194411 | + | 0.980920i | \(0.562280\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.765367 | −0.0419418 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 13.5563 | 0.740662 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.9706 | 0.924445 | 0.462223 | − | 0.886764i | \(-0.347052\pi\) | ||||
0.462223 | + | 0.886764i | \(0.347052\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −32.6256 | −1.77198 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −1.26810 | −0.0686715 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.9706 | −0.916324 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.51472 | −0.0815497 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 15.5474 | 0.834630 | 0.417315 | − | 0.908762i | \(-0.362971\pi\) | ||||
0.417315 | + | 0.908762i | \(0.362971\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 27.9021 | 1.49356 | 0.746782 | − | 0.665068i | \(-0.231598\pi\) | ||||
0.746782 | + | 0.665068i | \(0.231598\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 8.82843 | 0.471227 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.00000 | −0.319348 | −0.159674 | − | 0.987170i | \(-0.551044\pi\) | ||||
−0.159674 | + | 0.987170i | \(0.551044\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.819760 | 0.0435083 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −7.39104 | −0.391175 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 17.2132 | 0.908478 | 0.454239 | − | 0.890880i | \(-0.349911\pi\) | ||||
0.454239 | + | 0.890880i | \(0.349911\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.8995 | 0.889447 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 20.1396 | 1.05706 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 33.4454 | 1.75061 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.00000 | 0.313197 | 0.156599 | − | 0.987662i | \(-0.449947\pi\) | ||||
0.156599 | + | 0.987662i | \(0.449947\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3.41421 | −0.177737 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.5349 | −0.598862 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 30.5921 | 1.58400 | 0.792001 | − | 0.610520i | \(-0.209040\pi\) | ||||
0.792001 | + | 0.610520i | \(0.209040\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 8.82843 | 0.455898 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −5.41421 | −0.278846 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −23.4637 | −1.20525 | −0.602626 | − | 0.798024i | \(-0.705879\pi\) | ||||
−0.602626 | + | 0.798024i | \(0.705879\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −38.7485 | −1.98515 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −16.9706 | −0.867155 | −0.433578 | − | 0.901116i | \(-0.642749\pi\) | ||||
−0.433578 | + | 0.901116i | \(0.642749\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.51472 | −0.0771972 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.56420 | −0.181179 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −32.0460 | −1.62479 | −0.812397 | − | 0.583104i | \(-0.801838\pi\) | ||||
−0.812397 | + | 0.583104i | \(0.801838\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.686292 | −0.0347073 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −17.5563 | −0.885601 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −20.2710 | −1.01994 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −26.8197 | −1.34604 | −0.673021 | − | 0.739623i | \(-0.735004\pi\) | ||||
−0.673021 | + | 0.739623i | \(0.735004\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 15.6569 | 0.783823 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.82843 | 0.141245 | 0.0706225 | − | 0.997503i | \(-0.477501\pi\) | ||||
0.0706225 | + | 0.997503i | \(0.477501\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.39104 | −0.368174 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 34.0250 | 1.69072 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.585786 | −0.0290364 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.38478 | 0.315707 | 0.157853 | − | 0.987463i | \(-0.449543\pi\) | ||||
0.157853 | + | 0.987463i | \(0.449543\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.94269 | 0.342458 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 9.37011 | 0.461073 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −22.3848 | −1.09883 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 25.0711 | 1.22774 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −22.4901 | −1.09871 | −0.549357 | − | 0.835587i | \(-0.685127\pi\) | ||||
−0.549357 | + | 0.835587i | \(0.685127\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.34211 | −0.406570 | −0.203285 | − | 0.979120i | \(-0.565162\pi\) | ||||
−0.203285 | + | 0.979120i | \(0.565162\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 4.82843 | 0.234766 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 18.1421 | 0.880023 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.08239 | 0.0523806 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.08239 | −0.0522584 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 23.6569 | 1.13951 | 0.569755 | − | 0.821814i | \(-0.307038\pi\) | ||||
0.569755 | + | 0.821814i | \(0.307038\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 32.4853 | 1.56114 | 0.780571 | − | 0.625067i | \(-0.214928\pi\) | ||||
0.780571 | + | 0.625067i | \(0.214928\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −18.2919 | −0.877029 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.45381 | 0.0695452 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −24.0416 | −1.14744 | −0.573722 | − | 0.819050i | \(-0.694501\pi\) | ||||
−0.573722 | + | 0.819050i | \(0.694501\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.07107 | −0.0986223 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 22.3044 | 1.05972 | 0.529858 | − | 0.848087i | \(-0.322245\pi\) | ||||
0.529858 | + | 0.848087i | \(0.322245\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.6942 | 0.601763 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −27.0711 | −1.28042 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 31.4558 | 1.48449 | 0.742247 | − | 0.670127i | \(-0.233760\pi\) | ||||
0.742247 | + | 0.670127i | \(0.233760\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.61313 | −0.123047 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 40.4650 | 1.90121 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −8.82843 | −0.413883 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.4142 | −0.627490 | −0.313745 | − | 0.949507i | \(-0.601584\pi\) | ||||
−0.313745 | + | 0.949507i | \(0.601584\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 13.5140 | 0.630778 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 14.4650 | 0.673704 | 0.336852 | − | 0.941558i | \(-0.390638\pi\) | ||||
0.336852 | + | 0.941558i | \(0.390638\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.9706 | −0.509845 | −0.254923 | − | 0.966961i | \(-0.582050\pi\) | ||||
−0.254923 | + | 0.966961i | \(0.582050\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −24.9706 | −1.15798 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 31.4888 | 1.45713 | 0.728565 | − | 0.684977i | \(-0.240188\pi\) | ||||
0.728565 | + | 0.684977i | \(0.240188\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.67459 | −0.262028 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.41421 | 0.0651635 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.72792 | −0.125430 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −38.4315 | −1.76336 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.37849 | −0.154691 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −4.97056 | −0.227111 | −0.113555 | − | 0.993532i | \(-0.536224\pi\) | ||||
−0.113555 | + | 0.993532i | \(0.536224\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.41421 | −0.155675 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.634051 | 0.0288503 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −5.11747 | −0.232372 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.5563 | 0.704925 | 0.352463 | − | 0.935826i | \(-0.385344\pi\) | ||||
0.352463 | + | 0.935826i | \(0.385344\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −36.3848 | −1.64538 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 19.1660 | 0.864951 | 0.432476 | − | 0.901646i | \(-0.357640\pi\) | ||||
0.432476 | + | 0.901646i | \(0.357640\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.28772 | −0.373260 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.443651 | −0.0199406 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.343146 | −0.0153922 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.68714 | −0.433656 | −0.216828 | − | 0.976210i | \(-0.569571\pi\) | ||||
−0.216828 | + | 0.976210i | \(0.569571\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 8.73606 | 0.390298 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 24.2426 | 1.08093 | 0.540463 | − | 0.841368i | \(-0.318249\pi\) | ||||
0.540463 | + | 0.841368i | \(0.318249\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 41.5563 | 1.84923 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 17.7122 | 0.786627 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 31.5976 | 1.40054 | 0.700270 | − | 0.713878i | \(-0.253063\pi\) | ||||
0.700270 | + | 0.713878i | \(0.253063\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −14.0000 | −0.619324 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −28.6274 | −1.26393 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −35.7640 | −1.57595 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.69552 | 0.162529 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.24264 | −0.0984410 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −20.7279 | −0.908107 | −0.454053 | − | 0.890974i | \(-0.650022\pi\) | ||||
−0.454053 | + | 0.890974i | \(0.650022\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.11039 | 0.0922810 | 0.0461405 | − | 0.998935i | \(-0.485308\pi\) | ||||
0.0461405 | + | 0.998935i | \(0.485308\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −16.7611 | −0.731516 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −11.3137 | −0.492833 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.9411 | −0.997440 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.74444 | 0.119099 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −15.2304 | −0.659702 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.07107 | 0.0463063 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −28.7279 | −1.23970 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.58513 | −0.0682762 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.7541 | −0.591334 | −0.295667 | − | 0.955291i | \(-0.595542\pi\) | ||||
−0.295667 | + | 0.955291i | \(0.595542\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −10.5858 | −0.454280 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −15.6985 | −0.672449 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −27.3450 | −1.16919 | −0.584593 | − | 0.811327i | \(-0.698746\pi\) | ||||
−0.584593 | + | 0.811327i | \(0.698746\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.317025 | 0.0135303 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 17.5563 | 0.747926 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.48528 | 0.360831 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −11.5349 | −0.489629 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −11.7750 | −0.498923 | −0.249461 | − | 0.968385i | \(-0.580254\pi\) | ||||
−0.249461 | + | 0.968385i | \(0.580254\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −15.8995 | −0.672477 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.65685 | −0.0699524 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −13.1200 | −0.552943 | −0.276472 | − | 0.961022i | \(-0.589165\pi\) | ||||
−0.276472 | + | 0.961022i | \(0.589165\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −59.6536 | −2.50964 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −14.2426 | −0.598135 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −4.72792 | −0.198205 | −0.0991024 | − | 0.995077i | \(-0.531597\pi\) | ||||
−0.0991024 | + | 0.995077i | \(0.531597\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.39942 | 0.0585638 | 0.0292819 | − | 0.999571i | \(-0.490678\pi\) | ||||
0.0292819 | + | 0.999571i | \(0.490678\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −22.1731 | −0.926295 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.55635 | −0.0649042 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −14.9706 | −0.623233 | −0.311616 | − | 0.950208i | \(-0.600870\pi\) | ||||
−0.311616 | + | 0.950208i | \(0.600870\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 34.1563 | 1.41949 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 9.37011 | 0.388738 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.58579 | −0.107092 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.58579 | −0.106909 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 22.4901 | 0.928267 | 0.464134 | − | 0.885765i | \(-0.346366\pi\) | ||||
0.464134 | + | 0.885765i | \(0.346366\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 23.9665 | 0.987521 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −34.7279 | −1.42852 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 28.2843 | 1.16150 | 0.580748 | − | 0.814083i | \(-0.302760\pi\) | ||||
0.580748 | + | 0.814083i | \(0.302760\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −13.5140 | −0.554019 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −46.9593 | −1.92192 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 21.6985 | 0.886576 | 0.443288 | − | 0.896379i | \(-0.353812\pi\) | ||||
0.443288 | + | 0.896379i | \(0.353812\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16.9289 | 0.690546 | 0.345273 | − | 0.938502i | \(-0.387786\pi\) | ||||
0.345273 | + | 0.938502i | \(0.387786\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.66205 | −0.0676839 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 36.8239 | 1.49710 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.970563 | 0.0393939 | 0.0196970 | − | 0.999806i | \(-0.493730\pi\) | ||||
0.0196970 | + | 0.999806i | \(0.493730\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 7.65685 | 0.310271 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 21.5391 | 0.871377 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −39.6996 | −1.60345 | −0.801726 | − | 0.597691i | \(-0.796085\pi\) | ||||
−0.801726 | + | 0.597691i | \(0.796085\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −51.4558 | −2.07490 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −23.7574 | −0.956435 | −0.478218 | − | 0.878241i | \(-0.658717\pi\) | ||||
−0.478218 | + | 0.878241i | \(0.658717\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 16.2584 | 0.653481 | 0.326740 | − | 0.945114i | \(-0.394050\pi\) | ||||
0.326740 | + | 0.945114i | \(0.394050\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.15932 | −0.0465217 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −5.31371 | −0.212889 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −15.9289 | −0.637157 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.50981 | 0.140168 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.22625 | −0.208384 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −26.1005 | −1.03904 | −0.519522 | − | 0.854457i | \(-0.673890\pi\) | ||||
−0.519522 | + | 0.854457i | \(0.673890\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.928932 | −0.0369217 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −70.8489 | −2.81155 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.23880 | −0.366054 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.100505 | −0.00397592 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −43.4558 | −1.71640 | −0.858201 | − | 0.513313i | \(-0.828418\pi\) | ||||
−0.858201 | + | 0.513313i | \(0.828418\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 40.3337 | 1.59060 | 0.795302 | − | 0.606213i | \(-0.207312\pi\) | ||||
0.795302 | + | 0.606213i | \(0.207312\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −53.7163 | −2.11508 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 16.7279 | 0.657642 | 0.328821 | − | 0.944392i | \(-0.393349\pi\) | ||||
0.328821 | + | 0.944392i | \(0.393349\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.10051 | 0.0824520 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.4525 | 0.409666 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −39.0656 | −1.52875 | −0.764377 | − | 0.644770i | \(-0.776953\pi\) | ||||
−0.764377 | + | 0.644770i | \(0.776953\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −32.1005 | −1.25427 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −4.10051 | −0.159976 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −6.36304 | −0.247869 | −0.123934 | − | 0.992290i | \(-0.539551\pi\) | ||||
−0.123934 | + | 0.992290i | \(0.539551\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 20.2484 | 0.787573 | 0.393786 | − | 0.919202i | \(-0.371165\pi\) | ||||
0.393786 | + | 0.919202i | \(0.371165\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −9.65685 | −0.375041 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 28.6274 | 1.11012 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.710974 | 0.0275290 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −23.9665 | −0.926597 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.242641 | 0.00936704 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.51472 | −0.212577 | −0.106288 | − | 0.994335i | \(-0.533897\pi\) | ||||
−0.106288 | + | 0.994335i | \(0.533897\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 30.6465 | 1.17959 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 6.06854 | 0.233233 | 0.116617 | − | 0.993177i | \(-0.462795\pi\) | ||||
0.116617 | + | 0.993177i | \(0.462795\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.14214 | 0.0822076 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 12.5858 | 0.482288 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 15.3617 | 0.587800 | 0.293900 | − | 0.955836i | \(-0.405047\pi\) | ||||
0.293900 | + | 0.955836i | \(0.405047\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.6942 | 0.485021 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −49.5563 | −1.89069 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −15.0711 | −0.574162 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 30.8548 | 1.17377 | 0.586886 | − | 0.809670i | \(-0.300354\pi\) | ||||
0.586886 | + | 0.809670i | \(0.300354\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.185709 | 0.00705451 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 45.8406 | 1.73883 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −23.3137 | −0.883070 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −22.6215 | −0.855622 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 18.6089 | 0.702849 | 0.351424 | − | 0.936216i | \(-0.385697\pi\) | ||||
0.351424 | + | 0.936216i | \(0.385697\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 11.0711 | 0.417553 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 72.7696 | 2.74066 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −17.3952 | −0.654214 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.33664 | −0.275533 | −0.137767 | − | 0.990465i | \(-0.543992\pi\) | ||||
−0.137767 | + | 0.990465i | \(0.543992\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.48528 | 0.0932053 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.970563 | 0.0363479 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.97908 | −0.0740132 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 31.9916 | 1.19475 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 24.3431 | 0.907846 | 0.453923 | − | 0.891041i | \(-0.350024\pi\) | ||||
0.453923 | + | 0.891041i | \(0.350024\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.9706 | 0.557533 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 15.6788 | 0.583099 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −18.7946 | −0.698015 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −33.8995 | −1.25726 | −0.628631 | − | 0.777703i | \(-0.716385\pi\) | ||||
−0.628631 | + | 0.777703i | \(0.716385\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 22.3137 | 0.826434 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −24.3379 | −0.900169 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.92468 | 0.0710898 | 0.0355449 | − | 0.999368i | \(-0.488683\pi\) | ||||
0.0355449 | + | 0.999368i | \(0.488683\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −31.2132 | −1.15132 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.27208 | −0.0468576 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 19.6913 | 0.724356 | 0.362178 | − | 0.932109i | \(-0.382033\pi\) | ||||
0.362178 | + | 0.932109i | \(0.382033\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 20.4567 | 0.751494 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 19.2721 | 0.707024 | 0.353512 | − | 0.935430i | \(-0.384987\pi\) | ||||
0.353512 | + | 0.935430i | \(0.384987\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −49.4975 | −1.81345 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.74444 | 0.100414 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.448342 | −0.0163820 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −22.9706 | −0.838208 | −0.419104 | − | 0.907938i | \(-0.637656\pi\) | ||||
−0.419104 | + | 0.907938i | \(0.637656\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −29.2132 | −1.06459 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 73.9873 | 2.69267 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.92468 | 0.0699538 | 0.0349769 | − | 0.999388i | \(-0.488864\pi\) | ||||
0.0349769 | + | 0.999388i | \(0.488864\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.142136 | 0.00515920 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 34.1838 | 1.23916 | 0.619580 | − | 0.784933i | \(-0.287303\pi\) | ||||
0.619580 | + | 0.784933i | \(0.287303\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.57128 | 0.237896 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.95815 | −0.143107 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 12.2426 | 0.442056 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 22.4853 | 0.810840 | 0.405420 | − | 0.914131i | \(-0.367125\pi\) | ||||
0.405420 | + | 0.914131i | \(0.367125\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.0866 | −0.399273 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −28.2417 | −1.01578 | −0.507891 | − | 0.861421i | \(-0.669575\pi\) | ||||
−0.507891 | + | 0.861421i | \(0.669575\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −25.6569 | −0.921621 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 4.82843 | 0.173219 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 49.3868 | 1.76946 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.0769232 | −0.00275253 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −14.0000 | −0.500319 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.58579 | 0.0922907 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.68714 | 0.345309 | 0.172655 | − | 0.984982i | \(-0.444766\pi\) | ||||
0.172655 | + | 0.984982i | \(0.444766\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0.448342 | 0.0159614 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 24.9706 | 0.887851 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.41421 | 0.0502202 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −50.9175 | −1.80586 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −31.5976 | −1.11924 | −0.559622 | − | 0.828748i | \(-0.689054\pi\) | ||||
−0.559622 | + | 0.828748i | \(0.689054\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 32.9706 | 1.16641 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.55635 | −0.0549909 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −3.13839 | −0.110751 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.15932 | 0.0408605 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −9.75736 | −0.343475 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −1.21320 | −0.0426540 | −0.0213270 | − | 0.999773i | \(-0.506789\pi\) | ||||
−0.0213270 | + | 0.999773i | \(0.506789\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 25.4428 | 0.893418 | 0.446709 | − | 0.894679i | \(-0.352596\pi\) | ||||
0.446709 | + | 0.894679i | \(0.352596\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −33.2597 | −1.16647 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −66.5269 | −2.33034 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 51.5563 | 1.80373 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.08239 | 0.0378218 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 1.02800 | 0.0358774 | 0.0179387 | − | 0.999839i | \(-0.494290\pi\) | ||||
0.0179387 | + | 0.999839i | \(0.494290\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.87006 | 0.100044 | 0.0500220 | − | 0.998748i | \(-0.484071\pi\) | ||||
0.0500220 | + | 0.998748i | \(0.484071\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −3.75736 | −0.130814 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −12.8574 | −0.447095 | −0.223548 | − | 0.974693i | \(-0.571764\pi\) | ||||
−0.223548 | + | 0.974693i | \(0.571764\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 41.3073 | 1.43466 | 0.717331 | − | 0.696733i | \(-0.245364\pi\) | ||||
0.717331 | + | 0.696733i | \(0.245364\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.41421 | −0.0490585 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −14.1421 | −0.489996 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15.9733 | 0.552777 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −19.1116 | −0.660595 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 45.6985 | 1.57769 | 0.788843 | − | 0.614594i | \(-0.210680\pi\) | ||||
0.788843 | + | 0.614594i | \(0.210680\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.4142 | −0.703938 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 16.1271 | 0.555447 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 32.3855 | 1.11410 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −15.4142 | −0.529639 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 19.5563 | 0.671172 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.448342 | 0.0153689 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.03894 | −0.104051 | −0.0520256 | − | 0.998646i | \(-0.516568\pi\) | ||||
−0.0520256 | + | 0.998646i | \(0.516568\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 8.38478 | 0.286753 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 45.6985 | 1.56103 | 0.780515 | − | 0.625137i | \(-0.214957\pi\) | ||||
0.780515 | + | 0.625137i | \(0.214957\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 36.4524 | 1.24374 | 0.621871 | − | 0.783120i | \(-0.286373\pi\) | ||||
0.621871 | + | 0.783120i | \(0.286373\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 21.5391 | 0.734049 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −45.9411 | −1.56385 | −0.781927 | − | 0.623370i | \(-0.785763\pi\) | ||||
−0.781927 | + | 0.623370i | \(0.785763\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.10051 | −0.139421 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 16.6298 | 0.564779 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.90215 | 0.0645261 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.41421 | −0.251221 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.627417 | 0.0212348 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −6.75699 | −0.228428 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 36.0041 | 1.21577 | 0.607886 | − | 0.794024i | \(-0.292018\pi\) | ||||
0.607886 | + | 0.794024i | \(0.292018\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −23.2132 | −0.782962 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 22.6274 | 0.762337 | 0.381169 | − | 0.924506i | \(-0.375522\pi\) | ||||
0.381169 | + | 0.924506i | \(0.375522\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −51.3433 | −1.72784 | −0.863920 | − | 0.503629i | \(-0.831998\pi\) | ||||
−0.863920 | + | 0.503629i | \(0.831998\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 41.3617 | 1.39036 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −28.7279 | −0.964589 | −0.482295 | − | 0.876009i | \(-0.660197\pi\) | ||||
−0.482295 | + | 0.876009i | \(0.660197\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 29.6569 | 0.994659 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.19278 | −0.106962 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −69.8434 | −2.33722 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −52.5269 | −1.75578 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0.828427 | 0.0276604 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 11.7206 | 0.390904 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −23.0698 | −0.768566 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 22.4853 | 0.748263 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −19.3553 | −0.643393 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.579658 | −0.0192472 | −0.00962361 | − | 0.999954i | \(-0.503063\pi\) | ||||
−0.00962361 | + | 0.999954i | \(0.503063\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.09494 | −0.168988 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −45.5980 | −1.51073 | −0.755364 | − | 0.655305i | \(-0.772540\pi\) | ||||
−0.755364 | + | 0.655305i | \(0.772540\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.10051 | 0.0695166 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 4.77791 | 0.157953 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 13.4370 | 0.443730 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 36.0416 | 1.18890 | 0.594452 | − | 0.804131i | \(-0.297369\pi\) | ||||
0.594452 | + | 0.804131i | \(0.297369\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5.89949 | 0.194395 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −0.448342 | −0.0147573 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −11.8519 | −0.389689 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 4.38478 | 0.144015 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 26.4853 | 0.868954 | 0.434477 | − | 0.900683i | \(-0.356933\pi\) | ||||
0.434477 | + | 0.900683i | \(0.356933\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 29.9581 | 0.981837 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −22.6215 | −0.740593 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −3.02944 | −0.0990732 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 26.8701 | 0.877807 | 0.438903 | − | 0.898534i | \(-0.355367\pi\) | ||||
0.438903 | + | 0.898534i | \(0.355367\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 24.7862 | 0.808868 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −14.4650 | −0.471547 | −0.235774 | − | 0.971808i | \(-0.575762\pi\) | ||||
−0.235774 | + | 0.971808i | \(0.575762\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.00000 | 0.0651290 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −22.8284 | −0.742609 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 40.4106 | 1.31317 | 0.656584 | − | 0.754253i | \(-0.272001\pi\) | ||||
0.656584 | + | 0.754253i | \(0.272001\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −18.2919 | −0.593780 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −22.3848 | −0.725876 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −4.72792 | −0.153152 | −0.0765762 | − | 0.997064i | \(-0.524399\pi\) | ||||
−0.0765762 | + | 0.997064i | \(0.524399\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −40.5419 | −1.31191 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.71644 | 0.0554847 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −5.31371 | −0.171589 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0000 | −0.483871 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −0.131316 | −0.00423161 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 62.4524 | 2.01041 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −56.5269 | −1.81778 | −0.908891 | − | 0.417033i | \(-0.863070\pi\) | ||||
−0.908891 | + | 0.417033i | \(0.863070\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 31.3137 | 1.00594 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 25.1802 | 0.808071 | 0.404035 | − | 0.914743i | \(-0.367607\pi\) | ||||
0.404035 | + | 0.914743i | \(0.367607\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −19.1886 | −0.615157 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −21.8995 | −0.701345 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −14.1421 | −0.452447 | −0.226224 | − | 0.974075i | \(-0.572638\pi\) | ||||
−0.226224 | + | 0.974075i | \(0.572638\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.19118 | −0.0380702 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.92468 | 0.0614504 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −36.2426 | −1.15596 | −0.577980 | − | 0.816051i | \(-0.696159\pi\) | ||||
−0.577980 | + | 0.816051i | \(0.696159\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −63.4975 | −2.02320 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −30.4608 | −0.969579 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.08786 | 0.0663901 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.0000 | −0.508257 | −0.254128 | − | 0.967170i | \(-0.581789\pi\) | ||||
−0.254128 | + | 0.967170i | \(0.581789\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 13.0711 | 0.414798 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −85.8617 | −2.72200 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.95654 | 0.0619644 | 0.0309822 | − | 0.999520i | \(-0.490136\pi\) | ||||
0.0309822 | + | 0.999520i | \(0.490136\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −8.82843 | −0.279319 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))