Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [8624,2,Mod(1,8624)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(8624, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("8624.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 8624 = 2^{4} \cdot 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8624.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: | \(68.8629867032\) |
Analytic rank: | \(1\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\sqrt{17}) \) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x - 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 88) |
Fricke sign: | \(+1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-1.56155\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 8624.1 |
$q$-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 | ||||||||
\(3\) | −1.56155 | −0.901563 | −0.450781 | − | 0.892634i | \(-0.648855\pi\) | ||||
−0.450781 | + | 0.892634i | \(0.648855\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.56155 | −1.59277 | −0.796387 | − | 0.604787i | \(-0.793258\pi\) | ||||
−0.796387 | + | 0.604787i | \(0.793258\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.561553 | −0.187184 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.00000 | 0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.12311 | 1.42089 | 0.710447 | − | 0.703751i | \(-0.248493\pi\) | ||||
0.710447 | + | 0.703751i | \(0.248493\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.56155 | 1.43599 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.00000 | −0.485071 | −0.242536 | − | 0.970143i | \(-0.577979\pi\) | ||||
−0.242536 | + | 0.970143i | \(0.577979\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.00000 | −0.917663 | −0.458831 | − | 0.888523i | \(-0.651732\pi\) | ||||
−0.458831 | + | 0.888523i | \(0.651732\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.43845 | −0.508451 | −0.254226 | − | 0.967145i | \(-0.581821\pi\) | ||||
−0.254226 | + | 0.967145i | \(0.581821\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.68466 | 1.53693 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.56155 | 1.07032 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −5.12311 | −0.951337 | −0.475668 | − | 0.879625i | \(-0.657794\pi\) | ||||
−0.475668 | + | 0.879625i | \(0.657794\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.56155 | −0.998884 | −0.499442 | − | 0.866347i | \(-0.666462\pi\) | ||||
−0.499442 | + | 0.866347i | \(0.666462\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.56155 | −0.271831 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.56155 | −1.24311 | −0.621556 | − | 0.783370i | \(-0.713499\pi\) | ||||
−0.621556 | + | 0.783370i | \(0.713499\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −8.00000 | −1.28103 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.12311 | 0.175400 | 0.0876998 | − | 0.996147i | \(-0.472048\pi\) | ||||
0.0876998 | + | 0.996147i | \(0.472048\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.12311 | 1.08626 | 0.543132 | − | 0.839648i | \(-0.317238\pi\) | ||||
0.543132 | + | 0.839648i | \(0.317238\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.00000 | 0.298142 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 8.00000 | 1.16692 | 0.583460 | − | 0.812142i | \(-0.301699\pi\) | ||||
0.583460 | + | 0.812142i | \(0.301699\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.12311 | 0.437322 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 12.2462 | 1.68215 | 0.841073 | − | 0.540921i | \(-0.181924\pi\) | ||||
0.841073 | + | 0.540921i | \(0.181924\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.56155 | −0.480240 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.24621 | 0.827331 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.80776 | 1.01648 | 0.508242 | − | 0.861214i | \(-0.330295\pi\) | ||||
0.508242 | + | 0.861214i | \(0.330295\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.12311 | −0.143799 | −0.0718995 | − | 0.997412i | \(-0.522906\pi\) | ||||
−0.0718995 | + | 0.997412i | \(0.522906\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −18.2462 | −2.26316 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.56155 | −1.16813 | −0.584065 | − | 0.811707i | \(-0.698539\pi\) | ||||
−0.584065 | + | 0.811707i | \(0.698539\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.80776 | 0.458401 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.68466 | 1.03068 | 0.515340 | − | 0.856986i | \(-0.327666\pi\) | ||||
0.515340 | + | 0.856986i | \(0.327666\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.12311 | −0.599614 | −0.299807 | − | 0.954000i | \(-0.596922\pi\) | ||||
−0.299807 | + | 0.954000i | \(0.596922\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −12.0000 | −1.38564 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.1231 | 1.25145 | 0.625724 | − | 0.780045i | \(-0.284804\pi\) | ||||
0.625724 | + | 0.780045i | \(0.284804\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.00000 | −0.777778 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.876894 | 0.0962517 | 0.0481258 | − | 0.998841i | \(-0.484675\pi\) | ||||
0.0481258 | + | 0.998841i | \(0.484675\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.12311 | 0.772609 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 8.00000 | 0.857690 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.68466 | −0.284573 | −0.142287 | − | 0.989825i | \(-0.545445\pi\) | ||||
−0.142287 | + | 0.989825i | \(0.545445\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 8.68466 | 0.900557 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 14.2462 | 1.46163 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −15.5616 | −1.58004 | −0.790018 | − | 0.613083i | \(-0.789929\pi\) | ||||
−0.790018 | + | 0.613083i | \(0.789929\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.561553 | −0.0564382 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.00000 | 0.199007 | 0.0995037 | − | 0.995037i | \(-0.468274\pi\) | ||||
0.0995037 | + | 0.995037i | \(0.468274\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 13.3693 | 1.29246 | 0.646230 | − | 0.763142i | \(-0.276345\pi\) | ||||
0.646230 | + | 0.763142i | \(0.276345\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.2462 | 1.17297 | 0.586487 | − | 0.809959i | \(-0.300510\pi\) | ||||
0.586487 | + | 0.809959i | \(0.300510\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 11.8078 | 1.12074 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.438447 | −0.0412456 | −0.0206228 | − | 0.999787i | \(-0.506565\pi\) | ||||
−0.0206228 | + | 0.999787i | \(0.506565\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.68466 | 0.809849 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.87689 | −0.265969 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.75379 | −0.158134 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.56155 | −0.855211 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.24621 | −0.554262 | −0.277131 | − | 0.960832i | \(-0.589384\pi\) | ||||
−0.277131 | + | 0.960832i | \(0.589384\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −11.1231 | −0.979335 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 13.3693 | 1.16808 | 0.584041 | − | 0.811724i | \(-0.301471\pi\) | ||||
0.584041 | + | 0.811724i | \(0.301471\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −19.8078 | −1.70478 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.43845 | −0.720945 | −0.360473 | − | 0.932770i | \(-0.617385\pi\) | ||||
−0.360473 | + | 0.932770i | \(0.617385\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.1231 | 1.28273 | 0.641363 | − | 0.767238i | \(-0.278369\pi\) | ||||
0.641363 | + | 0.767238i | \(0.278369\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −12.4924 | −1.05205 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 5.12311 | 0.428416 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 18.2462 | 1.51527 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 4.24621 | 0.347863 | 0.173932 | − | 0.984758i | \(-0.444353\pi\) | ||||
0.173932 | + | 0.984758i | \(0.444353\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.36932 | 0.762464 | 0.381232 | − | 0.924479i | \(-0.375500\pi\) | ||||
0.381232 | + | 0.924479i | \(0.375500\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.12311 | 0.0907977 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 19.8078 | 1.59100 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.43845 | 0.354227 | 0.177113 | − | 0.984190i | \(-0.443324\pi\) | ||||
0.177113 | + | 0.984190i | \(0.443324\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −19.1231 | −1.51656 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.00000 | 0.313304 | 0.156652 | − | 0.987654i | \(-0.449930\pi\) | ||||
0.156652 | + | 0.987654i | \(0.449930\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 5.56155 | 0.432966 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 8.00000 | 0.619059 | 0.309529 | − | 0.950890i | \(-0.399829\pi\) | ||||
0.309529 | + | 0.950890i | \(0.399829\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 13.2462 | 1.01894 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.24621 | 0.171772 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −12.2462 | −0.931062 | −0.465531 | − | 0.885032i | \(-0.654137\pi\) | ||||
−0.465531 | + | 0.885032i | \(0.654137\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −12.1922 | −0.916425 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 6.43845 | 0.481232 | 0.240616 | − | 0.970620i | \(-0.422651\pi\) | ||||
0.240616 | + | 0.970620i | \(0.422651\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.31534 | 0.0977686 | 0.0488843 | − | 0.998804i | \(-0.484433\pi\) | ||||
0.0488843 | + | 0.998804i | \(0.484433\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.75379 | 0.129644 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 26.9309 | 1.98000 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.00000 | −0.146254 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.4384 | 0.755300 | 0.377650 | − | 0.925949i | \(-0.376732\pi\) | ||||
0.377650 | + | 0.925949i | \(0.376732\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.12311 | −0.656696 | −0.328348 | − | 0.944557i | \(-0.606492\pi\) | ||||
−0.328348 | + | 0.944557i | \(0.606492\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 28.4924 | 2.04038 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −14.4924 | −1.03254 | −0.516271 | − | 0.856425i | \(-0.672680\pi\) | ||||
−0.516271 | + | 0.856425i | \(0.672680\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.4924 | −0.885564 | −0.442782 | − | 0.896629i | \(-0.646009\pi\) | ||||
−0.442782 | + | 0.896629i | \(0.646009\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 14.9309 | 1.05314 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.00000 | −0.279372 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.36932 | 0.0951741 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −4.00000 | −0.276686 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.49242 | −0.584642 | −0.292321 | − | 0.956320i | \(-0.594428\pi\) | ||||
−0.292321 | + | 0.956320i | \(0.594428\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −13.5616 | −0.929222 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −25.3693 | −1.73017 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 8.00000 | 0.540590 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.2462 | −0.689235 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.8078 | −0.790706 | −0.395353 | − | 0.918529i | \(-0.629378\pi\) | ||||
−0.395353 | + | 0.918529i | \(0.629378\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.31534 | −0.287689 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 23.1231 | 1.53473 | 0.767367 | − | 0.641208i | \(-0.221566\pi\) | ||||
0.767367 | + | 0.641208i | \(0.221566\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −14.6847 | −0.970390 | −0.485195 | − | 0.874406i | \(-0.661251\pi\) | ||||
−0.485195 | + | 0.874406i | \(0.661251\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −7.36932 | −0.482780 | −0.241390 | − | 0.970428i | \(-0.577603\pi\) | ||||
−0.241390 | + | 0.970428i | \(0.577603\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −28.4924 | −1.85864 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −17.3693 | −1.12826 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.87689 | 0.315460 | 0.157730 | − | 0.987482i | \(-0.449582\pi\) | ||||
0.157730 | + | 0.987482i | \(0.449582\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −29.1231 | −1.87598 | −0.937992 | − | 0.346657i | \(-0.887317\pi\) | ||||
−0.937992 | + | 0.346657i | \(0.887317\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −5.75379 | −0.369106 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −20.4924 | −1.30390 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.36932 | −0.0867769 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.56155 | 0.0985643 | 0.0492822 | − | 0.998785i | \(-0.484307\pi\) | ||||
0.0492822 | + | 0.998785i | \(0.484307\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.43845 | −0.153304 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −11.1231 | −0.696556 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −11.7538 | −0.733181 | −0.366591 | − | 0.930382i | \(-0.619475\pi\) | ||||
−0.366591 | + | 0.930382i | \(0.619475\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.87689 | 0.178075 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −19.1231 | −1.17918 | −0.589591 | − | 0.807702i | \(-0.700711\pi\) | ||||
−0.589591 | + | 0.807702i | \(0.700711\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −43.6155 | −2.67928 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.19224 | 0.256561 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 20.7386 | 1.26446 | 0.632228 | − | 0.774782i | \(-0.282140\pi\) | ||||
0.632228 | + | 0.774782i | \(0.282140\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −28.4924 | −1.73079 | −0.865396 | − | 0.501089i | \(-0.832933\pi\) | ||||
−0.865396 | + | 0.501089i | \(0.832933\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 7.68466 | 0.463402 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −18.0000 | −1.08152 | −0.540758 | − | 0.841178i | \(-0.681862\pi\) | ||||
−0.540758 | + | 0.841178i | \(0.681862\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.12311 | 0.186975 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 16.2462 | 0.969168 | 0.484584 | − | 0.874745i | \(-0.338971\pi\) | ||||
0.484584 | + | 0.874745i | \(0.338971\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 20.0000 | 1.18888 | 0.594438 | − | 0.804141i | \(-0.297374\pi\) | ||||
0.594438 | + | 0.804141i | \(0.297374\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −22.2462 | −1.31775 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.0000 | −0.764706 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 24.3002 | 1.42450 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 3.36932 | 0.196838 | 0.0984188 | − | 0.995145i | \(-0.468622\pi\) | ||||
0.0984188 | + | 0.995145i | \(0.468622\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −27.8078 | −1.61903 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 5.56155 | 0.322714 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −12.4924 | −0.722455 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.12311 | −0.179418 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 4.00000 | 0.229039 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −32.4924 | −1.85444 | −0.927220 | − | 0.374516i | \(-0.877809\pi\) | ||||
−0.927220 | + | 0.374516i | \(0.877809\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.75379 | 0.553087 | 0.276543 | − | 0.961001i | \(-0.410811\pi\) | ||||
0.276543 | + | 0.961001i | \(0.410811\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.80776 | 0.554368 | 0.277184 | − | 0.960817i | \(-0.410599\pi\) | ||||
0.277184 | + | 0.960817i | \(0.410599\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −14.1922 | −0.797115 | −0.398558 | − | 0.917143i | \(-0.630489\pi\) | ||||
−0.398558 | + | 0.917143i | \(0.630489\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.12311 | −0.286839 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −20.8769 | −1.16523 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 8.00000 | 0.445132 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 39.3693 | 2.18382 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −19.1231 | −1.05751 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −34.9309 | −1.91997 | −0.959987 | − | 0.280044i | \(-0.909651\pi\) | ||||
−0.959987 | + | 0.280044i | \(0.909651\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.24621 | 0.232691 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 34.0540 | 1.86057 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.7386 | −0.911811 | −0.455906 | − | 0.890028i | \(-0.650685\pi\) | ||||
−0.455906 | + | 0.890028i | \(0.650685\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.684658 | 0.0371855 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.56155 | −0.301175 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −13.5616 | −0.730129 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −22.7386 | −1.22067 | −0.610337 | − | 0.792142i | \(-0.708966\pi\) | ||||
−0.610337 | + | 0.792142i | \(0.708966\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 32.2462 | 1.72610 | 0.863050 | − | 0.505118i | \(-0.168551\pi\) | ||||
0.863050 | + | 0.505118i | \(0.168551\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 28.4924 | 1.52081 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 24.0540 | 1.28026 | 0.640132 | − | 0.768265i | \(-0.278880\pi\) | ||||
0.640132 | + | 0.768265i | \(0.278880\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −30.9309 | −1.64164 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −4.49242 | −0.237101 | −0.118550 | − | 0.992948i | \(-0.537825\pi\) | ||||
−0.118550 | + | 0.992948i | \(0.537825\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.00000 | −0.157895 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.56155 | −0.0819603 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 18.2462 | 0.955050 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 22.9309 | 1.19698 | 0.598491 | − | 0.801130i | \(-0.295767\pi\) | ||||
0.598491 | + | 0.801130i | \(0.295767\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.630683 | −0.0328321 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.24621 | −0.426973 | −0.213486 | − | 0.976946i | \(-0.568482\pi\) | ||||
−0.213486 | + | 0.976946i | \(0.568482\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 14.9309 | 0.771027 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −26.2462 | −1.35175 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.192236 | −0.00987450 | −0.00493725 | − | 0.999988i | \(-0.501572\pi\) | ||||
−0.00493725 | + | 0.999988i | \(0.501572\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.75379 | 0.499702 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.05398 | −0.104953 | −0.0524766 | − | 0.998622i | \(-0.516712\pi\) | ||||
−0.0524766 | + | 0.998622i | \(0.516712\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −4.00000 | −0.203331 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 3.56155 | 0.180578 | 0.0902889 | − | 0.995916i | \(-0.471221\pi\) | ||||
0.0902889 | + | 0.995916i | \(0.471221\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.87689 | 0.246635 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −20.8769 | −1.05310 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −39.6155 | −1.99327 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.4924 | −0.526600 | −0.263300 | − | 0.964714i | \(-0.584811\pi\) | ||||
−0.263300 | + | 0.964714i | \(0.584811\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 30.4924 | 1.52272 | 0.761359 | − | 0.648330i | \(-0.224532\pi\) | ||||
0.761359 | + | 0.648330i | \(0.224532\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −28.4924 | −1.41931 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 24.9309 | 1.23882 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −7.56155 | −0.374812 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −22.4924 | −1.11218 | −0.556089 | − | 0.831123i | \(-0.687699\pi\) | ||||
−0.556089 | + | 0.831123i | \(0.687699\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 13.1771 | 0.649977 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.12311 | −0.153307 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −23.6155 | −1.15646 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −32.4924 | −1.58736 | −0.793679 | − | 0.608336i | \(-0.791837\pi\) | ||||
−0.793679 | + | 0.608336i | \(0.791837\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.49242 | 0.121473 | 0.0607366 | − | 0.998154i | \(-0.480655\pi\) | ||||
0.0607366 | + | 0.998154i | \(0.480655\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −4.49242 | −0.218429 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −15.3693 | −0.745521 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −8.00000 | −0.386244 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −27.1231 | −1.30647 | −0.653237 | − | 0.757153i | \(-0.726589\pi\) | ||||
−0.653237 | + | 0.757153i | \(0.726589\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 22.6847 | 1.09016 | 0.545078 | − | 0.838386i | \(-0.316500\pi\) | ||||
0.545078 | + | 0.838386i | \(0.316500\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −28.4924 | −1.36611 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 9.75379 | 0.466587 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.49242 | 0.214412 | 0.107206 | − | 0.994237i | \(-0.465810\pi\) | ||||
0.107206 | + | 0.994237i | \(0.465810\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −11.3153 | −0.537608 | −0.268804 | − | 0.963195i | \(-0.586628\pi\) | ||||
−0.268804 | + | 0.963195i | \(0.586628\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 9.56155 | 0.453261 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.63068 | −0.313621 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −36.5464 | −1.72473 | −0.862366 | − | 0.506286i | \(-0.831018\pi\) | ||||
−0.862366 | + | 0.506286i | \(0.831018\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.12311 | 0.0528850 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −14.6307 | −0.687409 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 23.8617 | 1.11621 | 0.558103 | − | 0.829772i | \(-0.311530\pi\) | ||||
0.558103 | + | 0.829772i | \(0.311530\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −11.1231 | −0.519182 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.12311 | −0.0523082 | −0.0261541 | − | 0.999658i | \(-0.508326\pi\) | ||||
−0.0261541 | + | 0.999658i | \(0.508326\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −15.3153 | −0.711764 | −0.355882 | − | 0.934531i | \(-0.615820\pi\) | ||||
−0.355882 | + | 0.934531i | \(0.615820\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −30.9309 | −1.43438 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 28.3002 | 1.30958 | 0.654788 | − | 0.755812i | \(-0.272758\pi\) | ||||
0.654788 | + | 0.755812i | \(0.272758\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −6.93087 | −0.319358 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 7.12311 | 0.327521 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −30.7386 | −1.41039 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −6.87689 | −0.314871 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −16.0000 | −0.731059 | −0.365529 | − | 0.930800i | \(-0.619112\pi\) | ||||
−0.365529 | + | 0.930800i | \(0.619112\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −38.7386 | −1.76633 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 55.4233 | 2.51664 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −14.9309 | −0.676582 | −0.338291 | − | 0.941041i | \(-0.609849\pi\) | ||||
−0.338291 | + | 0.941041i | \(0.609849\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −6.24621 | −0.282463 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.7538 | −0.620700 | −0.310350 | − | 0.950622i | \(-0.600446\pi\) | ||||
−0.310350 | + | 0.950622i | \(0.600446\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.2462 | 0.461466 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.00000 | 0.0898933 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 28.9848 | 1.29754 | 0.648770 | − | 0.760985i | \(-0.275284\pi\) | ||||
0.648770 | + | 0.760985i | \(0.275284\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −12.4924 | −0.558120 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −31.6155 | −1.40967 | −0.704833 | − | 0.709373i | \(-0.748978\pi\) | ||||
−0.704833 | + | 0.709373i | \(0.748978\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.12311 | −0.316974 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −20.6847 | −0.918638 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 18.3002 | 0.811142 | 0.405571 | − | 0.914064i | \(-0.367073\pi\) | ||||
0.405571 | + | 0.914064i | \(0.367073\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −22.2462 | −0.982194 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.00000 | 0.351840 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 19.1231 | 0.839411 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.31534 | −0.0576262 | −0.0288131 | − | 0.999585i | \(-0.509173\pi\) | ||||
−0.0288131 | + | 0.999585i | \(0.509173\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.0000 | −0.524723 | −0.262362 | − | 0.964970i | \(-0.584501\pi\) | ||||
−0.262362 | + | 0.964970i | \(0.584501\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 11.1231 | 0.484530 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.0540 | −0.741477 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −4.38447 | −0.190270 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 5.75379 | 0.249224 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −47.6155 | −2.05860 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −10.0540 | −0.433861 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −23.8617 | −1.02590 | −0.512948 | − | 0.858420i | \(-0.671447\pi\) | ||||
−0.512948 | + | 0.858420i | \(0.671447\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −2.05398 | −0.0881445 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −43.6155 | −1.86828 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 42.2462 | 1.80632 | 0.903159 | − | 0.429307i | \(-0.141242\pi\) | ||||
0.903159 | + | 0.429307i | \(0.141242\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.630683 | 0.0269169 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 20.4924 | 0.873007 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −42.0540 | −1.78509 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −3.75379 | −0.159053 | −0.0795266 | − | 0.996833i | \(-0.525341\pi\) | ||||
−0.0795266 | + | 0.996833i | \(0.525341\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 36.4924 | 1.54347 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.12311 | 0.131858 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 24.4924 | 1.03223 | 0.516116 | − | 0.856519i | \(-0.327377\pi\) | ||||
0.516116 | + | 0.856519i | \(0.327377\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.56155 | 0.0656950 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −26.8769 | −1.12674 | −0.563369 | − | 0.826205i | \(-0.690495\pi\) | ||||
−0.563369 | + | 0.826205i | \(0.690495\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.4924 | −0.690186 | −0.345093 | − | 0.938568i | \(-0.612153\pi\) | ||||
−0.345093 | + | 0.938568i | \(0.612153\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −16.3002 | −0.680950 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −18.7386 | −0.781455 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.5616 | −0.647836 | −0.323918 | − | 0.946085i | \(-0.605000\pi\) | ||||
−0.323918 | + | 0.946085i | \(0.605000\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 14.2462 | 0.592052 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 12.2462 | 0.507186 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 10.2462 | 0.423629 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −24.4924 | −1.01091 | −0.505455 | − | 0.862853i | \(-0.668675\pi\) | ||||
−0.505455 | + | 0.862853i | \(0.668675\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.2462 | 0.916639 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 22.6307 | 0.930902 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −3.36932 | −0.138361 | −0.0691806 | − | 0.997604i | \(-0.522038\pi\) | ||||
−0.0691806 | + | 0.997604i | \(0.522038\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 19.5076 | 0.798392 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.0000 | 0.653742 | 0.326871 | − | 0.945069i | \(-0.394006\pi\) | ||||
0.326871 | + | 0.945069i | \(0.394006\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.75379 | −0.153120 | −0.0765601 | − | 0.997065i | \(-0.524394\pi\) | ||||
−0.0765601 | + | 0.997065i | \(0.524394\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 5.36932 | 0.218655 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −3.56155 | −0.144798 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −45.8617 | −1.86147 | −0.930735 | − | 0.365694i | \(-0.880832\pi\) | ||||
−0.930735 | + | 0.365694i | \(0.880832\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 40.9848 | 1.65807 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 11.8617 | 0.479091 | 0.239546 | − | 0.970885i | \(-0.423002\pi\) | ||||
0.239546 | + | 0.970885i | \(0.423002\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 6.24621 | 0.251872 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.49242 | −0.100341 | −0.0501706 | − | 0.998741i | \(-0.515976\pi\) | ||||
−0.0501706 | + | 0.998741i | \(0.515976\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 18.9309 | 0.760896 | 0.380448 | − | 0.924802i | \(-0.375770\pi\) | ||||
0.380448 | + | 0.924802i | \(0.375770\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −13.5616 | −0.544206 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.36932 | −0.174773 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 6.24621 | 0.249450 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 15.1231 | 0.602998 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 42.0540 | 1.67414 | 0.837071 | − | 0.547094i | \(-0.184266\pi\) | ||||
0.837071 | + | 0.547094i | \(0.184266\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 13.2614 | 0.527092 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 22.2462 | 0.882814 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.87689 | −0.192927 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −46.3002 | −1.82875 | −0.914374 | − | 0.404871i | \(-0.867316\pi\) | ||||
−0.914374 | + | 0.404871i | \(0.867316\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.17708 | −0.361909 | −0.180954 | − | 0.983491i | \(-0.557919\pi\) | ||||
−0.180954 | + | 0.983491i | \(0.557919\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 39.6155 | 1.55986 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 13.5616 | 0.533160 | 0.266580 | − | 0.963813i | \(-0.414106\pi\) | ||||
0.266580 | + | 0.963813i | \(0.414106\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.80776 | 0.306482 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 35.1771 | 1.37659 | 0.688293 | − | 0.725433i | \(-0.258360\pi\) | ||||
0.688293 | + | 0.725433i | \(0.258360\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −47.6155 | −1.86049 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 2.87689 | 0.112238 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 11.6155 | 0.452477 | 0.226238 | − | 0.974072i | \(-0.427357\pi\) | ||||
0.226238 | + | 0.974072i | \(0.427357\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −41.8078 | −1.62613 | −0.813067 | − | 0.582170i | \(-0.802204\pi\) | ||||
−0.813067 | + | 0.582170i | \(0.802204\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 16.0000 | 0.621389 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 12.4924 | 0.483709 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 18.4384 | 0.712872 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.12311 | −0.0433570 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 33.2311 | 1.28096 | 0.640482 | − | 0.767974i | \(-0.278735\pi\) | ||||
0.640482 | + | 0.767974i | \(0.278735\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 42.7386 | 1.64501 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 20.7386 | 0.797050 | 0.398525 | − | 0.917157i | \(-0.369522\pi\) | ||||
0.398525 | + | 0.917157i | \(0.369522\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −36.1080 | −1.38366 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.73863 | −0.257847 | −0.128923 | − | 0.991655i | \(-0.541152\pi\) | ||||
−0.128923 | + | 0.991655i | \(0.541152\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 30.0540 | 1.14830 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 22.9309 | 0.874867 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 62.7386 | 2.39015 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.94602 | −0.378365 | −0.189182 | − | 0.981942i | \(-0.560584\pi\) | ||||
−0.189182 | + | 0.981942i | \(0.560584\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −53.8617 | −2.04309 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.24621 | −0.0850813 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 11.5076 | 0.435257 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 50.4924 | 1.90707 | 0.953536 | − | 0.301278i | \(-0.0974133\pi\) | ||||
0.953536 | + | 0.301278i | \(0.0974133\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 30.2462 | 1.14076 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 44.4924 | 1.67568 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.19224 | 0.0823311 | 0.0411656 | − | 0.999152i | \(-0.486893\pi\) | ||||
0.0411656 | + | 0.999152i | \(0.486893\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −6.24621 | −0.234251 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 13.5616 | 0.507884 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −18.2462 | −0.682370 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −7.61553 | −0.284407 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 35.4233 | 1.32107 | 0.660533 | − | 0.750797i | \(-0.270330\pi\) | ||||
0.660533 | + | 0.750797i | \(0.270330\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 45.4773 | 1.69132 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −39.3693 | −1.46214 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23.3153 | −0.864718 | −0.432359 | − | 0.901702i | \(-0.642319\pi\) | ||||
−0.432359 | + | 0.901702i | \(0.642319\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 29.9848 | 1.11055 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −14.2462 | −0.526915 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.12311 | −0.0414829 | −0.0207414 | − | 0.999785i | \(-0.506603\pi\) | ||||
−0.0207414 | + | 0.999785i | \(0.506603\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −9.56155 | −0.352204 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.63068 | 0.0967712 | 0.0483856 | − | 0.998829i | \(-0.484592\pi\) | ||||
0.0483856 | + | 0.998829i | \(0.484592\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 32.0000 | 1.17555 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −10.7386 | −0.393962 | −0.196981 | − | 0.980407i | \(-0.563114\pi\) | ||||
−0.196981 | + | 0.980407i | \(0.563114\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −15.1231 | −0.554068 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.492423 | −0.0180168 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.56155 | −0.202944 | −0.101472 | − | 0.994838i | \(-0.532355\pi\) | ||||
−0.101472 | + | 0.994838i | \(0.532355\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −2.43845 | −0.0888620 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −33.3693 | −1.21443 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 15.7538 | 0.572581 | 0.286291 | − | 0.958143i | \(-0.407578\pi\) | ||||
0.286291 | + | 0.958143i | \(0.407578\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 3.80776 | 0.138213 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.12311 | −0.185712 | −0.0928562 | − | 0.995680i | \(-0.529600\pi\) | ||||
−0.0928562 | + | 0.995680i | \(0.529600\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.00000 | −0.144620 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 40.0000 | 1.44432 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −25.6155 | −0.923720 | −0.461860 | − | 0.886953i | \(-0.652818\pi\) | ||||
−0.461860 | + | 0.886953i | \(0.652818\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 18.3542 | 0.661009 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −40.7386 | −1.46527 | −0.732633 | − | 0.680623i | \(-0.761709\pi\) | ||||
−0.732633 | + | 0.680623i | \(0.761709\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −42.7386 | −1.53522 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −4.49242 | −0.160958 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.68466 | 0.310762 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −28.4924 | −1.01824 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −15.8078 | −0.564203 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −29.7538 | −1.06061 | −0.530304 | − | 0.847808i | \(-0.677922\pi\) | ||||
−0.530304 | + | 0.847808i | \(0.677922\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 29.8617 | 1.06311 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.75379 | −0.204323 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 68.1080 | 2.41554 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 14.1922 | 0.502715 | 0.251357 | − | 0.967894i | \(-0.419123\pi\) | ||||
0.251357 | + | 0.967894i | \(0.419123\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −16.0000 | −0.566039 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.50758 | 0.0532676 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −5.12311 | −0.180790 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −32.3845 | −1.13999 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −45.6155 | −1.60376 | −0.801878 | − | 0.597487i | \(-0.796166\pi\) | ||||
−0.801878 | + | 0.597487i | \(0.796166\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.12311 | −0.250126 | −0.125063 | − | 0.992149i | \(-0.539913\pi\) | ||||
−0.125063 | + | 0.992149i | \(0.539913\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 44.4924 | 1.56042 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −14.2462 | −0.499023 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −28.4924 | −0.996824 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −42.9848 | −1.50018 | −0.750091 | − | 0.661335i | \(-0.769990\pi\) | ||||
−0.750091 | + | 0.661335i | \(0.769990\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 54.5464 | 1.90137 | 0.950684 | − | 0.310161i | \(-0.100383\pi\) | ||||
0.950684 | + | 0.310161i | \(0.100383\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −12.0000 | −0.417786 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −38.7386 | −1.34707 | −0.673537 | − | 0.739153i | \(-0.735226\pi\) | ||||
−0.673537 | + | 0.739153i | \(0.735226\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.0691 | −0.523373 | −0.261686 | − | 0.965153i | \(-0.584279\pi\) | ||||
−0.261686 | + | 0.965153i | \(0.584279\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 28.1080 | 0.975054 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −28.4924 | −0.986021 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −30.9309 | −1.06913 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −19.8078 | −0.683840 | −0.341920 | − | 0.939729i | \(-0.611077\pi\) | ||||
−0.341920 | + | 0.939729i | \(0.611077\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.75379 | −0.0949582 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −25.3693 | −0.873766 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −47.1771 | −1.62294 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −31.2311 | −1.07185 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 18.4384 | 0.632062 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 46.4924 | 1.59187 | 0.795935 | − | 0.605382i | \(-0.206980\pi\) | ||||
0.795935 | + | 0.605382i | \(0.206980\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −8.00000 | −0.273594 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −30.1080 | −1.02847 | −0.514234 | − | 0.857650i | \(-0.671924\pi\) | ||||
−0.514234 | + | 0.857650i | \(0.671924\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 30.0540 | 1.02543 | 0.512714 | − | 0.858559i | \(-0.328640\pi\) | ||||
0.512714 | + | 0.858559i | \(0.328640\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 36.4924 | 1.24222 | 0.621108 | − | 0.783725i | \(-0.286683\pi\) | ||||
0.621108 | + | 0.783725i | \(0.286683\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 43.6155 | 1.48297 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 20.3002 | 0.689430 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 11.1231 | 0.377326 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −48.9848 | −1.65979 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 8.73863 | 0.295758 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 55.3693 | 1.86969 | 0.934844 | − | 0.355057i | \(-0.115539\pi\) | ||||
0.934844 | + | 0.355057i | \(0.115539\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −5.26137 | −0.177461 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −34.3002 | −1.15560 | −0.577801 | − | 0.816177i | \(-0.696089\pi\) | ||||
−0.577801 | + | 0.816177i | \(0.696089\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.49242 | −0.285793 | −0.142896 | − | 0.989738i | \(-0.545642\pi\) | ||||
−0.142896 | + | 0.989738i | \(0.545642\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 43.4233 | 1.45966 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 31.6155 | 1.06155 | 0.530773 | − | 0.847514i | \(-0.321902\pi\) | ||||
0.530773 | + | 0.847514i | \(0.321902\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −7.00000 | −0.234509 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −32.0000 | −1.07084 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −22.9309 | −0.766494 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 19.5076 | 0.651339 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 28.4924 | 0.950275 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −24.4924 | −0.815961 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −4.68466 | −0.155723 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −16.4924 | −0.547622 | −0.273811 | − | 0.961784i | \(-0.588284\pi\) | ||||
−0.273811 | + | 0.961784i | \(0.588284\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.12311 | −0.0372511 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 26.7386 | 0.885890 | 0.442945 | − | 0.896549i | \(-0.353934\pi\) | ||||
0.442945 | + | 0.896549i | \(0.353934\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.876894 | 0.0290210 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −6.24621 | −0.206493 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.63068 | −0.218726 | −0.109363 | − | 0.994002i | \(-0.534881\pi\) | ||||
−0.109363 | + | 0.994002i | \(0.534881\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 50.7386 | 1.67189 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 44.4924 | 1.46449 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −58.1080 | −1.91058 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −46.4924 | −1.52537 | −0.762683 | − | 0.646772i | \(-0.776119\pi\) | ||||
−0.762683 | + | 0.646772i | \(0.776119\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −15.2311 | −0.498642 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 7.12311 | 0.232950 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 42.1080 | 1.37561 | 0.687803 | − | 0.725897i | \(-0.258575\pi\) | ||||
0.687803 | + | 0.725897i | \(0.258575\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −15.3153 | −0.499797 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 32.2462 | 1.05120 | 0.525598 | − | 0.850733i | \(-0.323842\pi\) | ||||
0.525598 | + | 0.850733i | \(0.323842\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.73863 | −0.0891822 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 12.6847 | 0.412196 | 0.206098 | − | 0.978531i | \(-0.433923\pi\) | ||||
0.206098 | + | 0.978531i | \(0.433923\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −26.2462 | −0.851988 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 22.1619 | 0.718650 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 0.246211 | 0.00797556 | 0.00398778 | − | 0.999992i | \(-0.498731\pi\) | ||||
0.00398778 | + | 0.999992i | \(0.498731\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −37.1771 | −1.20302 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 8.00000 | 0.258603 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.0691303 | −0.00223001 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −7.50758 | −0.241928 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 32.4924 | 1.04597 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −8.00000 | −0.257263 | −0.128631 | − | 0.991692i | \(-0.541058\pi\) | ||||
−0.128631 | + | 0.991692i | \(0.541058\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −12.4924 | −0.401314 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −34.5464 | −1.10865 | −0.554323 | − | 0.832301i | \(-0.687023\pi\) | ||||
−0.554323 | + | 0.832301i | \(0.687023\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −61.4773 | −1.96885 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 53.8078 | 1.72146 | 0.860731 | − | 0.509059i | \(-0.170007\pi\) | ||||
0.860731 | + | 0.509059i | \(0.170007\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.68466 | −0.0858021 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.87689 | −0.219562 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 30.9309 | 0.986542 | 0.493271 | − | 0.869876i | \(-0.335801\pi\) | ||||
0.493271 | + | 0.869876i | \(0.335801\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 51.6155 | 1.64461 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −17.3693 | −0.552312 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.49242 | 0.142707 | 0.0713533 | − | 0.997451i | \(-0.477268\pi\) | ||||
0.0713533 | + | 0.997451i | \(0.477268\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 54.5464 | 1.73098 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 44.4924 | 1.41050 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −52.2462 | −1.65465 | −0.827327 | − | 0.561721i | \(-0.810140\pi\) | ||||
−0.827327 | + | 0.561721i | \(0.810140\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −42.0540 | −1.33053 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))