Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5776,2,Mod(1,5776)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5776, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("5776.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5776 = 2^{4} \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5776.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: | \(46.1215922075\) |
Analytic rank: | \(1\) |
Dimension: | \(3\) |
Coefficient field: | \(\Q(\zeta_{18})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - 3x - 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Root | \(-0.347296\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5776.1 |
$q$-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 | ||||||||
\(3\) | −0.652704 | −0.376839 | −0.188419 | − | 0.982089i | \(-0.560336\pi\) | ||||
−0.188419 | + | 0.982089i | \(0.560336\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.34730 | −0.602529 | −0.301265 | − | 0.953541i | \(-0.597409\pi\) | ||||
−0.301265 | + | 0.953541i | \(0.597409\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.53209 | −0.579075 | −0.289538 | − | 0.957167i | \(-0.593502\pi\) | ||||
−0.289538 | + | 0.957167i | \(0.593502\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.57398 | −0.857993 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.18479 | 0.357228 | 0.178614 | − | 0.983919i | \(-0.442839\pi\) | ||||
0.178614 | + | 0.983919i | \(0.442839\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.71688 | −0.753527 | −0.376764 | − | 0.926309i | \(-0.622963\pi\) | ||||
−0.376764 | + | 0.926309i | \(0.622963\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.879385 | 0.227056 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.87939 | 0.940889 | 0.470445 | − | 0.882430i | \(-0.344094\pi\) | ||||
0.470445 | + | 0.882430i | \(0.344094\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.06418 | 1.05595 | 0.527977 | − | 0.849259i | \(-0.322951\pi\) | ||||
0.527977 | + | 0.849259i | \(0.322951\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.18479 | −0.636959 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.63816 | 0.700163 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.65270 | 0.863985 | 0.431993 | − | 0.901877i | \(-0.357811\pi\) | ||||
0.431993 | + | 0.901877i | \(0.357811\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.83750 | −0.689235 | −0.344617 | − | 0.938743i | \(-0.611991\pi\) | ||||
−0.344617 | + | 0.938743i | \(0.611991\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.773318 | −0.134617 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.06418 | 0.348910 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.10607 | 0.675033 | 0.337517 | − | 0.941320i | \(-0.390413\pi\) | ||||
0.337517 | + | 0.941320i | \(0.390413\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.77332 | 0.283958 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.98545 | 1.55947 | 0.779733 | − | 0.626112i | \(-0.215355\pi\) | ||||
0.779733 | + | 0.626112i | \(0.215355\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.70233 | 1.32709 | 0.663547 | − | 0.748135i | \(-0.269050\pi\) | ||||
0.663547 | + | 0.748135i | \(0.269050\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.46791 | 0.516966 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.573978 | −0.0837233 | −0.0418616 | − | 0.999123i | \(-0.513329\pi\) | ||||
−0.0418616 | + | 0.999123i | \(0.513329\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.65270 | −0.664672 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.53209 | −0.354563 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.94356 | −0.404329 | −0.202165 | − | 0.979352i | \(-0.564798\pi\) | ||||
−0.202165 | + | 0.979352i | \(0.564798\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.59627 | −0.215241 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.93582 | −0.512400 | −0.256200 | − | 0.966624i | \(-0.582471\pi\) | ||||
−0.256200 | + | 0.966624i | \(0.582471\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.51754 | −0.578412 | −0.289206 | − | 0.957267i | \(-0.593391\pi\) | ||||
−0.289206 | + | 0.957267i | \(0.593391\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.94356 | 0.496842 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.66044 | 0.454022 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.88713 | −0.474888 | −0.237444 | − | 0.971401i | \(-0.576310\pi\) | ||||
−0.237444 | + | 0.971401i | \(0.576310\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.30541 | −0.397924 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.93582 | −0.823131 | −0.411565 | − | 0.911380i | \(-0.635018\pi\) | ||||
−0.411565 | + | 0.911380i | \(0.635018\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.12836 | 0.717270 | 0.358635 | − | 0.933478i | \(-0.383242\pi\) | ||||
0.358635 | + | 0.933478i | \(0.383242\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.07873 | 0.240031 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.81521 | −0.206862 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.80840 | 1.10353 | 0.551766 | − | 0.833999i | \(-0.313954\pi\) | ||||
0.551766 | + | 0.833999i | \(0.313954\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.34730 | 0.594144 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −12.3182 | −1.35210 | −0.676049 | − | 0.736857i | \(-0.736309\pi\) | ||||
−0.676049 | + | 0.736857i | \(0.736309\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.22668 | −0.566913 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.03684 | −0.325583 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.42602 | 0.257158 | 0.128579 | − | 0.991699i | \(-0.458958\pi\) | ||||
0.128579 | + | 0.991699i | \(0.458958\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.16250 | 0.436349 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 2.50475 | 0.259730 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.36959 | −0.748268 | −0.374134 | − | 0.927375i | \(-0.622060\pi\) | ||||
−0.374134 | + | 0.927375i | \(0.622060\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.04963 | −0.306499 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.17024 | 0.215947 | 0.107974 | − | 0.994154i | \(-0.465564\pi\) | ||||
0.107974 | + | 0.994154i | \(0.465564\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.4757 | −1.22926 | −0.614631 | − | 0.788815i | \(-0.710695\pi\) | ||||
−0.614631 | + | 0.788815i | \(0.710695\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.34730 | −0.131483 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.68004 | −0.645784 | −0.322892 | − | 0.946436i | \(-0.604655\pi\) | ||||
−0.322892 | + | 0.946436i | \(0.604655\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.45336 | −0.905468 | −0.452734 | − | 0.891646i | \(-0.649551\pi\) | ||||
−0.452734 | + | 0.891646i | \(0.649551\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.68004 | −0.254379 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.31046 | −0.123278 | −0.0616388 | − | 0.998099i | \(-0.519633\pi\) | ||||
−0.0616388 | + | 0.998099i | \(0.519633\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.82295 | −0.636243 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 6.99319 | 0.646521 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.94356 | −0.544846 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.59627 | −0.872388 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.51754 | −0.587667 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 11.0273 | 0.986315 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −14.5030 | −1.28693 | −0.643466 | − | 0.765474i | \(-0.722504\pi\) | ||||
−0.643466 | + | 0.765474i | \(0.722504\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.68004 | −0.500100 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 19.8084 | 1.73067 | 0.865334 | − | 0.501196i | \(-0.167106\pi\) | ||||
0.865334 | + | 0.501196i | \(0.167106\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.90167 | −0.421869 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 10.2044 | 0.871820 | 0.435910 | − | 0.899990i | \(-0.356427\pi\) | ||||
0.435910 | + | 0.899990i | \(0.356427\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.66044 | 0.140837 | 0.0704185 | − | 0.997518i | \(-0.477567\pi\) | ||||
0.0704185 | + | 0.997518i | \(0.477567\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.374638 | 0.0315502 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.21894 | −0.269181 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.26857 | −0.520576 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.03684 | 0.250474 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 11.2071 | 0.918120 | 0.459060 | − | 0.888405i | \(-0.348186\pi\) | ||||
0.459060 | + | 0.888405i | \(0.348186\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.0419 | −0.898576 | −0.449288 | − | 0.893387i | \(-0.648322\pi\) | ||||
−0.449288 | + | 0.893387i | \(0.648322\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −9.98545 | −0.807276 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.17024 | 0.415284 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.9932 | 0.877352 | 0.438676 | − | 0.898645i | \(-0.355448\pi\) | ||||
0.438676 | + | 0.898645i | \(0.355448\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.92127 | 0.152367 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.75877 | −0.611477 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.33275 | 0.496019 | 0.248010 | − | 0.968758i | \(-0.420224\pi\) | ||||
0.248010 | + | 0.968758i | \(0.420224\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.04189 | 0.0811110 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −13.7784 | −1.06620 | −0.533101 | − | 0.846051i | \(-0.678973\pi\) | ||||
−0.533101 | + | 0.846051i | \(0.678973\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.61856 | −0.432197 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −25.2472 | −1.91951 | −0.959755 | − | 0.280838i | \(-0.909388\pi\) | ||||
−0.959755 | + | 0.280838i | \(0.909388\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.87939 | 0.368847 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 2.56893 | 0.193092 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.83069 | 0.435806 | 0.217903 | − | 0.975970i | \(-0.430078\pi\) | ||||
0.217903 | + | 0.975970i | \(0.430078\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −13.5621 | −1.00806 | −0.504032 | − | 0.863685i | \(-0.668151\pi\) | ||||
−0.504032 | + | 0.863685i | \(0.668151\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.94862 | 0.217968 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.53209 | −0.406727 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.59627 | 0.336112 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −5.57398 | −0.405447 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.2841 | 0.744128 | 0.372064 | − | 0.928207i | \(-0.378650\pi\) | ||||
0.372064 | + | 0.928207i | \(0.378650\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −13.8007 | −0.993393 | −0.496697 | − | 0.867924i | \(-0.665454\pi\) | ||||
−0.496697 | + | 0.867924i | \(0.665454\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.38919 | −0.171093 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −7.94087 | −0.565764 | −0.282882 | − | 0.959155i | \(-0.591290\pi\) | ||||
−0.282882 | + | 0.959155i | \(0.591290\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −27.0351 | −1.91647 | −0.958233 | − | 0.285988i | \(-0.907678\pi\) | ||||
−0.958233 | + | 0.285988i | \(0.907678\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.53714 | 0.178956 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −7.12836 | −0.500312 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13.4534 | −0.939624 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −13.0351 | −0.906001 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.07192 | −0.555694 | −0.277847 | − | 0.960625i | \(-0.589621\pi\) | ||||
−0.277847 | + | 0.960625i | \(0.589621\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 4.52704 | 0.310187 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −11.7246 | −0.799613 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.87939 | 0.399119 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.00000 | −0.270295 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.5398 | −0.708986 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −15.4757 | −1.03633 | −0.518163 | − | 0.855282i | \(-0.673384\pi\) | ||||
−0.518163 | + | 0.855282i | \(0.673384\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.19759 | 0.546506 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 9.87258 | 0.655266 | 0.327633 | − | 0.944805i | \(-0.393749\pi\) | ||||
0.327633 | + | 0.944805i | \(0.393749\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.1189 | 1.32949 | 0.664746 | − | 0.747070i | \(-0.268540\pi\) | ||||
0.664746 | + | 0.747070i | \(0.268540\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.18479 | 0.0779536 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 3.53478 | 0.231571 | 0.115785 | − | 0.993274i | \(-0.463061\pi\) | ||||
0.115785 | + | 0.993274i | \(0.463061\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.773318 | 0.0504457 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −6.40198 | −0.415853 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −11.9736 | −0.774507 | −0.387254 | − | 0.921973i | \(-0.626576\pi\) | ||||
−0.387254 | + | 0.921973i | \(0.626576\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.9017 | −0.831070 | −0.415535 | − | 0.909577i | \(-0.636406\pi\) | ||||
−0.415535 | + | 0.909577i | \(0.636406\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −14.4047 | −0.924060 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 6.26857 | 0.400484 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 8.04013 | 0.509523 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −14.3628 | −0.906571 | −0.453285 | − | 0.891366i | \(-0.649748\pi\) | ||||
−0.453285 | + | 0.891366i | \(0.649748\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.00000 | 0.377217 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 3.41147 | 0.213635 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −4.97771 | −0.310501 | −0.155251 | − | 0.987875i | \(-0.549618\pi\) | ||||
−0.155251 | + | 0.987875i | \(0.549618\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.29086 | −0.390895 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −11.9760 | −0.741293 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 24.0428 | 1.48254 | 0.741272 | − | 0.671205i | \(-0.234223\pi\) | ||||
0.741272 | + | 0.671205i | \(0.234223\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.96585 | 0.243620 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.58347 | −0.0969070 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 13.1111 | 0.799399 | 0.399700 | − | 0.916646i | \(-0.369114\pi\) | ||||
0.399700 | + | 0.916646i | \(0.369114\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 26.5699 | 1.61400 | 0.807002 | − | 0.590549i | \(-0.201089\pi\) | ||||
0.807002 | + | 0.590549i | \(0.201089\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.71688 | −0.164433 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.77332 | −0.227540 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −16.5107 | −0.992034 | −0.496017 | − | 0.868313i | \(-0.665205\pi\) | ||||
−0.496017 | + | 0.868313i | \(0.665205\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 9.87763 | 0.591358 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.3901 | 1.15672 | 0.578359 | − | 0.815783i | \(-0.303693\pi\) | ||||
0.578359 | + | 0.815783i | \(0.303693\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.3105 | 0.672337 | 0.336169 | − | 0.941802i | \(-0.390869\pi\) | ||||
0.336169 | + | 0.941802i | \(0.390869\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −15.2986 | −0.903048 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.95037 | −0.114728 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4.81016 | 0.281976 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.89899 | −0.227781 | −0.113891 | − | 0.993493i | \(-0.536331\pi\) | ||||
−0.113891 | + | 0.993493i | \(0.536331\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.30272 | 0.308736 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.31046 | 0.250118 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −13.7588 | −0.795690 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −13.3327 | −0.768487 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.41653 | −0.0813773 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.08647 | 0.348510 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.1753 | 1.32268 | 0.661342 | − | 0.750084i | \(-0.269987\pi\) | ||||
0.661342 | + | 0.750084i | \(0.269987\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.14290 | 0.463234 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.46110 | 0.196261 | 0.0981306 | − | 0.995174i | \(-0.468714\pi\) | ||||
0.0981306 | + | 0.995174i | \(0.468714\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −22.8898 | −1.29381 | −0.646904 | − | 0.762571i | \(-0.723937\pi\) | ||||
−0.646904 | + | 0.762571i | \(0.723937\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −5.31315 | −0.299362 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −26.1206 | −1.46708 | −0.733540 | − | 0.679646i | \(-0.762133\pi\) | ||||
−0.733540 | + | 0.679646i | \(0.762133\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.51249 | 0.308640 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.36009 | 0.243356 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.65270 | 0.479966 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 6.17024 | 0.341215 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.879385 | 0.0484821 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.0446 | 1.04678 | 0.523392 | − | 0.852092i | \(-0.324666\pi\) | ||||
0.523392 | + | 0.852092i | \(0.324666\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −10.5689 | −0.579174 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 5.23711 | 0.286134 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.70140 | −0.0926812 | −0.0463406 | − | 0.998926i | \(-0.514756\pi\) | ||||
−0.0463406 | + | 0.998926i | \(0.514756\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.855342 | 0.0464558 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.54664 | −0.246214 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.8530 | 0.963970 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 4.45336 | 0.239761 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 4.90167 | 0.263136 | 0.131568 | − | 0.991307i | \(-0.457999\pi\) | ||||
0.131568 | + | 0.991307i | \(0.457999\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −28.1293 | −1.50573 | −0.752863 | − | 0.658177i | \(-0.771328\pi\) | ||||
−0.752863 | + | 0.658177i | \(0.771328\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −9.88444 | −0.527592 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −8.31996 | −0.442827 | −0.221413 | − | 0.975180i | \(-0.571067\pi\) | ||||
−0.221413 | + | 0.975180i | \(0.571067\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.34461 | 0.495960 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.87939 | 0.205319 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −24.9290 | −1.31570 | −0.657852 | − | 0.753148i | \(-0.728535\pi\) | ||||
−0.657852 | + | 0.753148i | \(0.728535\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 6.26352 | 0.328749 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −8.25671 | −0.432176 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.58584 | 0.134980 | 0.0674898 | − | 0.997720i | \(-0.478501\pi\) | ||||
0.0674898 | + | 0.997720i | \(0.478501\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −25.7023 | −1.33801 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.50980 | 0.234137 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 23.3833 | 1.21074 | 0.605371 | − | 0.795943i | \(-0.293025\pi\) | ||||
0.605371 | + | 0.795943i | \(0.293025\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.19759 | −0.371682 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −12.6408 | −0.651037 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.4388 | 1.30670 | 0.653352 | − | 0.757054i | \(-0.273362\pi\) | ||||
0.653352 | + | 0.757054i | \(0.273362\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.46616 | 0.484966 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −27.4807 | −1.40420 | −0.702099 | − | 0.712079i | \(-0.747754\pi\) | ||||
−0.702099 | + | 0.712079i | \(0.747754\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.44562 | 0.124640 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −22.3996 | −1.13864 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −3.34224 | −0.169458 | −0.0847292 | − | 0.996404i | \(-0.527003\pi\) | ||||
−0.0847292 | + | 0.996404i | \(0.527003\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.6459 | 0.993536 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −12.9290 | −0.652183 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −13.2148 | −0.664910 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.1233 | −0.658640 | −0.329320 | − | 0.944218i | \(-0.606819\pi\) | ||||
−0.329320 | + | 0.944218i | \(0.606819\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −17.1138 | −0.854623 | −0.427311 | − | 0.904105i | \(-0.640539\pi\) | ||||
−0.427311 | + | 0.904105i | \(0.640539\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.4260 | 0.519357 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −7.20439 | −0.357989 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.86484 | 0.241141 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.79797 | 0.435032 | 0.217516 | − | 0.976057i | \(-0.430205\pi\) | ||||
0.217516 | + | 0.976057i | \(0.430205\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.66044 | −0.328535 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 6.03003 | 0.296718 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16.5963 | 0.814679 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.08378 | −0.0530728 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.84018 | −0.334165 | −0.167082 | − | 0.985943i | \(-0.553435\pi\) | ||||
−0.167082 | + | 0.985943i | \(0.553435\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.82295 | 0.235056 | 0.117528 | − | 0.993070i | \(-0.462503\pi\) | ||||
0.117528 | + | 0.993070i | \(0.462503\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.47741 | 0.0718340 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −12.3550 | −0.599307 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.92127 | 0.334944 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 2.10101 | 0.101438 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.30365 | 0.0627947 | 0.0313974 | − | 0.999507i | \(-0.490004\pi\) | ||||
0.0313974 | + | 0.999507i | \(0.490004\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −19.8239 | −0.952675 | −0.476337 | − | 0.879263i | \(-0.658036\pi\) | ||||
−0.476337 | + | 0.879263i | \(0.658036\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.09152 | 0.196173 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −34.5672 | −1.64980 | −0.824901 | − | 0.565278i | \(-0.808769\pi\) | ||||
−0.824901 | + | 0.565278i | \(0.808769\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 11.9760 | 0.570284 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −17.0101 | −0.808174 | −0.404087 | − | 0.914720i | \(-0.632411\pi\) | ||||
−0.404087 | + | 0.914720i | \(0.632411\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.26857 | −0.154945 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −7.31490 | −0.345983 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −37.4097 | −1.76547 | −0.882737 | − | 0.469868i | \(-0.844302\pi\) | ||||
−0.882737 | + | 0.469868i | \(0.844302\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.8307 | 0.557085 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 7.20708 | 0.338618 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.60813 | −0.262913 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.11112 | 0.426200 | 0.213100 | − | 0.977030i | \(-0.431644\pi\) | ||||
0.213100 | + | 0.977030i | \(0.431644\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 14.1138 | 0.658776 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −24.4483 | −1.13867 | −0.569336 | − | 0.822105i | \(-0.692800\pi\) | ||||
−0.569336 | + | 0.822105i | \(0.692800\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.250725 | 0.0116522 | 0.00582609 | − | 0.999983i | \(-0.498145\pi\) | ||||
0.00582609 | + | 0.999983i | \(0.498145\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.37464 | −0.156495 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −15.3618 | −0.710861 | −0.355431 | − | 0.934703i | \(-0.615666\pi\) | ||||
−0.355431 | + | 0.934703i | \(0.615666\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.95542 | 0.274996 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −7.17530 | −0.330620 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 10.3105 | 0.474075 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.57667 | 0.346912 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 0.719246 | 0.0328632 | 0.0164316 | − | 0.999865i | \(-0.494769\pi\) | ||||
0.0164316 | + | 0.999865i | \(0.494769\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.1557 | −0.508656 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 5.06418 | 0.230428 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 9.92902 | 0.450853 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 11.7469 | 0.532303 | 0.266152 | − | 0.963931i | \(-0.414248\pi\) | ||||
0.266152 | + | 0.963931i | \(0.414248\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −4.13341 | −0.186919 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.0888306 | −0.00400887 | −0.00200443 | − | 0.999998i | \(-0.500638\pi\) | ||||
−0.00200443 | + | 0.999998i | \(0.500638\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 18.0496 | 0.812914 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.10876 | 0.184675 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 10.6263 | 0.476655 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.6905 | −0.657636 | −0.328818 | − | 0.944393i | \(-0.606650\pi\) | ||||
−0.328818 | + | 0.944393i | \(0.606650\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 8.99319 | 0.401786 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 4.90404 | 0.218660 | 0.109330 | − | 0.994005i | \(-0.465129\pi\) | ||||
0.109330 | + | 0.994005i | \(0.465129\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.92396 | −0.130115 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.66725 | 0.162868 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −6.41384 | −0.284288 | −0.142144 | − | 0.989846i | \(-0.545400\pi\) | ||||
−0.142144 | + | 0.989846i | \(0.545400\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.38919 | −0.415353 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 16.8084 | 0.740667 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.680045 | −0.0299083 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 16.4789 | 0.723346 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 35.8135 | 1.56902 | 0.784508 | − | 0.620119i | \(-0.212916\pi\) | ||||
0.784508 | + | 0.620119i | \(0.212916\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 38.7725 | 1.69540 | 0.847701 | − | 0.530474i | \(-0.177986\pi\) | ||||
0.847701 | + | 0.530474i | \(0.177986\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −3.18479 | −0.138996 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −14.8871 | −0.648493 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.64590 | 0.115039 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 10.1307 | 0.439636 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −27.1293 | −1.17510 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.00000 | 0.389104 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −3.80571 | −0.164229 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −5.51249 | −0.237440 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.49020 | 0.408016 | 0.204008 | − | 0.978969i | \(-0.434603\pi\) | ||||
0.204008 | + | 0.978969i | \(0.434603\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 8.85204 | 0.379878 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 12.7365 | 0.545571 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.2121 | 0.607667 | 0.303833 | − | 0.952725i | \(-0.401733\pi\) | ||||
0.303833 | + | 0.952725i | \(0.401733\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 11.6281 | 0.496273 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.0273 | −0.639028 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.61081 | 0.153271 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 22.5398 | 0.955043 | 0.477522 | − | 0.878620i | \(-0.341535\pi\) | ||||
0.477522 | + | 0.878620i | \(0.341535\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −23.6432 | −1.00000 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.00000 | −0.126660 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −42.9718 | −1.81105 | −0.905524 | − | 0.424296i | \(-0.860522\pi\) | ||||
−0.905524 | + | 0.424296i | \(0.860522\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.76558 | 0.0742784 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −8.19253 | −0.344054 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7.42696 | −0.311354 | −0.155677 | − | 0.987808i | \(-0.549756\pi\) | ||||
−0.155677 | + | 0.987808i | \(0.549756\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.04458 | −0.169260 | −0.0846301 | − | 0.996412i | \(-0.526971\pi\) | ||||
−0.0846301 | + | 0.996412i | \(0.526971\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −6.71244 | −0.280416 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −16.1284 | −0.672599 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.23442 | 0.134651 | 0.0673254 | − | 0.997731i | \(-0.478553\pi\) | ||||
0.0673254 | + | 0.997731i | \(0.478553\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 9.00774 | 0.374349 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 18.8726 | 0.782966 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.48751 | −0.144438 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.42190 | −0.389548 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 40.8084 | 1.68434 | 0.842171 | − | 0.539210i | \(-0.181277\pi\) | ||||
0.842171 | + | 0.539210i | \(0.181277\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 5.18304 | 0.213202 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −11.0642 | −0.454351 | −0.227176 | − | 0.973854i | \(-0.572949\pi\) | ||||
−0.227176 | + | 0.973854i | \(0.572949\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.00774 | 0.328285 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 17.6459 | 0.722198 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −44.5577 | −1.82058 | −0.910289 | − | 0.413974i | \(-0.864140\pi\) | ||||
−0.910289 | + | 0.413974i | \(0.864140\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.99907 | 0.203916 | 0.101958 | − | 0.994789i | \(-0.467489\pi\) | ||||
0.101958 | + | 0.994789i | \(0.467489\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 10.0054 | 0.407450 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 12.9290 | 0.525639 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −31.1881 | −1.26589 | −0.632943 | − | 0.774199i | \(-0.718153\pi\) | ||||
−0.632943 | + | 0.774199i | \(0.718153\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.65270 | 0.188537 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.55943 | 0.0630878 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 16.3696 | 0.661161 | 0.330581 | − | 0.943778i | \(-0.392755\pi\) | ||||
0.330581 | + | 0.943778i | \(0.392755\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 8.78106 | 0.354086 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 16.0583 | 0.646483 | 0.323241 | − | 0.946317i | \(-0.395227\pi\) | ||||
0.323241 | + | 0.946317i | \(0.395227\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −23.8425 | −0.958313 | −0.479156 | − | 0.877730i | \(-0.659057\pi\) | ||||
−0.479156 | + | 0.877730i | \(0.659057\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 18.4243 | 0.739340 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −3.71688 | −0.148914 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.06687 | 0.0426746 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 15.9290 | 0.635131 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.4730 | −0.854825 | −0.427413 | − | 0.904057i | \(-0.640575\pi\) | ||||
−0.427413 | + | 0.904057i | \(0.640575\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 5.26857 | 0.209407 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 19.5398 | 0.775414 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 12.6408 | 0.500848 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 17.8527 | 0.706240 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −12.7537 | −0.503742 | −0.251871 | − | 0.967761i | \(-0.581046\pi\) | ||||
−0.251871 | + | 0.967761i | \(0.581046\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −28.6081 | −1.12819 | −0.564097 | − | 0.825708i | \(-0.690776\pi\) | ||||
−0.564097 | + | 0.825708i | \(0.690776\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 7.65270 | 0.301325 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −16.7128 | −0.657046 | −0.328523 | − | 0.944496i | \(-0.606551\pi\) | ||||
−0.328523 | + | 0.944496i | \(0.606551\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.66313 | −0.183044 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.83750 | −0.150403 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 27.0000 | 1.05659 | 0.528296 | − | 0.849060i | \(-0.322831\pi\) | ||||
0.528296 | + | 0.849060i | \(0.322831\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −26.6878 | −1.04278 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −15.7743 | −0.615412 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −43.9009 | −1.71013 | −0.855067 | − | 0.518517i | \(-0.826484\pi\) | ||||
−0.855067 | + | 0.518517i | \(0.826484\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.7561 | 0.418363 | 0.209182 | − | 0.977877i | \(-0.432920\pi\) | ||||
0.209182 | + | 0.977877i | \(0.432920\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 6.87939 | 0.267173 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 23.5621 | 0.912329 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 10.1010 | 0.390528 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.35235 | −0.206625 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.65776 | −0.179543 | −0.0897717 | − | 0.995962i | \(-0.528614\pi\) | ||||
−0.0897717 | + | 0.995962i | \(0.528614\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −11.5868 | −0.445975 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −3.26857 | −0.125621 | −0.0628107 | − | 0.998025i | \(-0.520006\pi\) | ||||
−0.0628107 | + | 0.998025i | \(0.520006\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 11.2909 | 0.433303 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −6.44387 | −0.246930 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 6.21894 | 0.237961 | 0.118981 | − | 0.992897i | \(-0.462037\pi\) | ||||
0.118981 | + | 0.992897i | \(0.462037\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.7483 | −0.525297 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −13.1317 | −0.501004 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 7.99731 | 0.304673 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.2175 | −0.845194 | −0.422597 | − | 0.906318i | \(-0.638881\pi\) | ||||
−0.422597 | + | 0.906318i | \(0.638881\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 4.67230 | 0.177486 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.23711 | −0.0848584 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 38.7374 | 1.46728 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −2.30716 | −0.0872649 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −27.7725 | −1.04895 | −0.524476 | − | 0.851425i | \(-0.675739\pi\) | ||||
−0.524476 | + | 0.851425i | \(0.675739\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.504748 | −0.0190099 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −3.32501 | −0.125050 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.10782 | −0.229384 | −0.114692 | − | 0.993401i | \(-0.536588\pi\) | ||||
−0.114692 | + | 0.993401i | \(0.536588\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −25.2466 | −0.946822 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −19.4338 | −0.727800 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.33687 | 0.162190 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 7.81521 | 0.291864 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −38.7238 | −1.44415 | −0.722077 | − | 0.691813i | \(-0.756812\pi\) | ||||
−0.722077 | + | 0.691813i | \(0.756812\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 19.1138 | 0.711835 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.42097 | 0.313179 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −14.8179 | −0.550323 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11.0779 | 0.410857 | 0.205428 | − | 0.978672i | \(-0.434141\pi\) | ||||
0.205428 | + | 0.978672i | \(0.434141\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −6.63991 | −0.245923 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 33.7597 | 1.24865 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −15.8075 | −0.583862 | −0.291931 | − | 0.956439i | \(-0.594298\pi\) | ||||
−0.291931 | + | 0.956439i | \(0.594298\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.09152 | −0.150918 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.60544 | −0.169643 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.54933 | −0.0569928 | −0.0284964 | − | 0.999594i | \(-0.509072\pi\) | ||||
−0.0284964 | + | 0.999594i | \(0.509072\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 38.1634 | 1.40008 | 0.700040 | − | 0.714103i | \(-0.253165\pi\) | ||||
0.700040 | + | 0.714103i | \(0.253165\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −15.0993 | −0.553194 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 31.7068 | 1.16009 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 10.2344 | 0.373958 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.3482 | −0.924970 | −0.462485 | − | 0.886627i | \(-0.653042\pi\) | ||||
−0.462485 | + | 0.886627i | \(0.653042\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 9.37464 | 0.341631 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 14.8767 | 0.541418 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 42.3705 | 1.53998 | 0.769991 | − | 0.638054i | \(-0.220260\pi\) | ||||
0.769991 | + | 0.638054i | \(0.220260\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −3.91622 | −0.142150 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2.85710 | −0.103570 | −0.0517848 | − | 0.998658i | \(-0.516491\pi\) | ||||
−0.0517848 | + | 0.998658i | \(0.516491\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 14.4834 | 0.524334 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 13.4534 | 0.486407 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 10.6932 | 0.386108 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 19.1206 | 0.689507 | 0.344754 | − | 0.938693i | \(-0.387963\pi\) | ||||
0.344754 | + | 0.938693i | \(0.387963\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.24897 | 0.117009 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.51485 | −0.0904530 | −0.0452265 | − | 0.998977i | \(-0.514401\pi\) | ||||
−0.0452265 | + | 0.998977i | \(0.514401\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.2216 | 0.439014 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 4.10607 | 0.147304 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.21751 | −0.294046 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 16.9273 | 0.604931 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −14.8111 | −0.528630 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.72605 | 0.0971733 | 0.0485866 | − | 0.998819i | \(-0.484528\pi\) | ||||
0.0485866 | + | 0.998819i | \(0.484528\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −15.6928 | −0.558680 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.00774 | 0.0713870 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.2736 | 0.435849 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.58853 | −0.0918056 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −22.0327 | −0.780439 | −0.390219 | − | 0.920722i | \(-0.627601\pi\) | ||||
−0.390219 | + | 0.920722i | \(0.627601\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.22668 | −0.0787743 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −6.24453 | −0.220640 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 7.26083 | 0.256229 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.4534 | 0.368433 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −8.55768 | −0.301244 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 54.7205 | 1.92387 | 0.961935 | − | 0.273278i | \(-0.0881077\pi\) | ||||
0.961935 | + | 0.273278i | \(0.0881077\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.31046 | −0.0811312 | −0.0405656 | − | 0.999177i | \(-0.512916\pi\) | ||||
−0.0405656 | + | 0.999177i | \(0.512916\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −17.3422 | −0.608219 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −8.53209 | −0.298866 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −10.7142 | −0.374384 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 1.11112 | 0.0387783 | 0.0193892 | − | 0.999812i | \(-0.493828\pi\) | ||||
0.0193892 | + | 0.999812i | \(0.493828\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.6477 | −0.719732 | −0.359866 | − | 0.933004i | \(-0.617178\pi\) | ||||
−0.359866 | + | 0.933004i | \(0.617178\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.46286 | 0.0857457 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.3054 | 1.26246 | 0.631231 | − | 0.775595i | \(-0.282550\pi\) | ||||
0.631231 | + | 0.775595i | \(0.282550\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.14971 | 0.248320 | 0.124160 | − | 0.992262i | \(-0.460376\pi\) | ||||
0.124160 | + | 0.992262i | \(0.460376\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 10.7766 | 0.373837 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −18.0496 | −0.625383 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.5635 | 0.642418 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −13.9614 | −0.482577 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −34.6067 | −1.19476 | −0.597378 | − | 0.801960i | \(-0.703791\pi\) | ||||
−0.597378 | + | 0.801960i | \(0.703791\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −7.35235 | −0.253529 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −12.6560 | −0.435896 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 7.56986 | 0.260411 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 14.7023 | 0.505178 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −7.38238 | −0.253363 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 20.7939 | 0.712804 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 33.2508 | 1.13849 | 0.569243 | − | 0.822169i | \(-0.307236\pi\) | ||||
0.569243 | + | 0.822169i | \(0.307236\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 3.88619 | 0.132750 | 0.0663749 | − | 0.997795i | \(-0.478857\pi\) | ||||
0.0663749 | + | 0.997795i | \(0.478857\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.65776 | −0.0565619 | −0.0282810 | − | 0.999600i | \(-0.509003\pi\) | ||||
−0.0282810 | + | 0.999600i | \(0.509003\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 9.98545 | 0.340303 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −52.7187 | −1.79457 | −0.897284 | − | 0.441455i | \(-0.854463\pi\) | ||||
−0.897284 | + | 0.441455i | \(0.854463\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 34.0155 | 1.15656 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 1.27301 | 0.0432338 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 11.6209 | 0.394213 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 10.5609 | 0.357841 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 18.9691 | 0.642008 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −16.8949 | −0.571151 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 21.1898 | 0.715530 | 0.357765 | − | 0.933812i | \(-0.383539\pi\) | ||||
0.357765 | + | 0.933812i | \(0.383539\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 2.54488 | 0.0858367 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 32.1010 | 1.08151 | 0.540755 | − | 0.841180i | \(-0.318138\pi\) | ||||
0.540755 | + | 0.841180i | \(0.318138\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 47.2968 | 1.59167 | 0.795833 | − | 0.605516i | \(-0.207033\pi\) | ||||
0.795833 | + | 0.605516i | \(0.207033\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −3.46110 | −0.116344 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 10.5631 | 0.354673 | 0.177336 | − | 0.984150i | \(-0.443252\pi\) | ||||
0.177336 | + | 0.984150i | \(0.443252\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 22.2199 | 0.745231 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 6.33544 | 0.212245 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.85567 | −0.262586 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 8.98040 | 0.299847 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −17.8547 | −0.595489 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −11.4192 | −0.380429 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 8.70233 | 0.289596 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 18.2722 | 0.607388 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 42.9205 | 1.42515 | 0.712575 | − | 0.701596i | \(-0.247529\pi\) | ||||
0.712575 | + | 0.701596i | \(0.247529\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.58616 | −0.185281 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −55.1411 | −1.82691 | −0.913454 | − | 0.406942i | \(-0.866595\pi\) | ||||
−0.913454 | + | 0.406942i | \(0.866595\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14.5945 | −0.483008 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −3.97266 | −0.131332 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −30.3482 | −1.00219 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 24.5577 | 0.810083 | 0.405041 | − | 0.914298i | \(-0.367257\pi\) | ||||
0.405041 | + | 0.914298i | \(0.367257\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −15.1266 | −0.498438 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 18.8438 | 0.620251 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.0770 | −0.429968 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 32.1121 | 1.05470 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −22.2772 | −0.730893 | −0.365446 | − | 0.930832i | \(-0.619084\pi\) | ||||
−0.365446 | + | 0.930832i | \(0.619084\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −2.25908 | −0.0739588 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −6.19253 | −0.202517 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.55169 | −0.312040 | −0.156020 | − | 0.987754i | \(-0.549866\pi\) | ||||
−0.156020 | + | 0.987754i | \(0.549866\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.9403 | 0.487557 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 55.7256 | 1.81660 | 0.908301 | − | 0.418318i | \(-0.137380\pi\) | ||||
0.908301 | + | 0.418318i | \(0.137380\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 50.5681 | 1.64672 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 7.50980 | 0.244294 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 27.0428 | 0.878774 | 0.439387 | − | 0.898298i | \(-0.355196\pi\) | ||||
0.439387 | + | 0.898298i | \(0.355196\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.6500 | −0.540482 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 17.0490 | 0.552852 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −23.1310 | −0.749288 | −0.374644 | − | 0.927169i | \(-0.622235\pi\) | ||||
−0.374644 | + | 0.927169i | \(0.622235\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.8557 | −0.448359 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −3.59802 | −0.116308 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −15.6340 | −0.504849 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −16.2736 | −0.524956 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 17.1943 | 0.554078 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 18.5936 | 0.598548 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −39.0351 | −1.25528 | −0.627642 | − | 0.778502i | \(-0.715980\pi\) | ||||
−0.627642 | + | 0.778502i | \(0.715980\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −41.2026 | −1.32226 | −0.661128 | − | 0.750273i | \(-0.729922\pi\) | ||||
−0.661128 | + | 0.750273i | \(0.729922\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.54395 | −0.0815552 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −5.64765 | −0.180870 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −22.4938 | −0.719641 | −0.359821 | − | 0.933022i | \(-0.617162\pi\) | ||||
−0.359821 | + | 0.933022i | \(0.617162\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.87433 | 0.0918641 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 24.3327 | 0.776885 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −44.5461 | −1.42080 | −0.710401 | − | 0.703798i | \(-0.751486\pi\) | ||||
−0.710401 | + | 0.703798i | \(0.751486\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 10.6987 | 0.340889 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.573978 | −0.0182699 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 44.0702 | 1.40135 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −45.3296 | −1.43994 | −0.719971 | − | 0.694005i | \(-0.755845\pi\) | ||||
−0.719971 | + | 0.694005i | \(0.755845\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −12.4305 | −0.394469 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 36.4243 | 1.15473 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −10.4911 | −0.332258 | −0.166129 | − | 0.986104i | \(-0.553127\pi\) | ||||
−0.166129 | + | 0.986104i | \(0.553127\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 14.9385 | 0.472634 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))