Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6008,2,Mod(1,6008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6008, 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("6008.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6008 = 2^{3} \cdot 751 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6008.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: | \(47.9741215344\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.48 | ||
Character | \(\chi\) | \(=\) | 6008.1 |
$q$-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 | ||||||||
\(3\) | 3.08580 | 1.78159 | 0.890793 | − | 0.454409i | \(-0.150150\pi\) | ||||
0.890793 | + | 0.454409i | \(0.150150\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.00553 | −1.34411 | −0.672056 | − | 0.740500i | \(-0.734589\pi\) | ||||
−0.672056 | + | 0.740500i | \(0.734589\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.90892 | 1.85540 | 0.927699 | − | 0.373328i | \(-0.121783\pi\) | ||||
0.927699 | + | 0.373328i | \(0.121783\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 6.52215 | 2.17405 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.849994 | −0.256283 | −0.128141 | − | 0.991756i | \(-0.540901\pi\) | ||||
−0.128141 | + | 0.991756i | \(0.540901\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.14160 | 0.871323 | 0.435661 | − | 0.900111i | \(-0.356515\pi\) | ||||
0.435661 | + | 0.900111i | \(0.356515\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −9.27445 | −2.39465 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.172702 | 0.0418865 | 0.0209433 | − | 0.999781i | \(-0.493333\pi\) | ||||
0.0209433 | + | 0.999781i | \(0.493333\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.46033 | −1.25269 | −0.626343 | − | 0.779548i | \(-0.715449\pi\) | ||||
−0.626343 | + | 0.779548i | \(0.715449\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 15.1479 | 3.30555 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.77175 | −0.369436 | −0.184718 | − | 0.982792i | \(-0.559137\pi\) | ||||
−0.184718 | + | 0.982792i | \(0.559137\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.03319 | 0.806638 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 10.8686 | 2.09167 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.39026 | 0.815251 | 0.407626 | − | 0.913149i | \(-0.366357\pi\) | ||||
0.407626 | + | 0.913149i | \(0.366357\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.76048 | −0.316192 | −0.158096 | − | 0.987424i | \(-0.550536\pi\) | ||||
−0.158096 | + | 0.987424i | \(0.550536\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.62291 | −0.456590 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −14.7539 | −2.49386 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.37710 | 1.21279 | 0.606394 | − | 0.795164i | \(-0.292615\pi\) | ||||
0.606394 | + | 0.795164i | \(0.292615\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 9.69434 | 1.55234 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.48177 | 1.16846 | 0.584228 | − | 0.811589i | \(-0.301397\pi\) | ||||
0.584228 | + | 0.811589i | \(0.301397\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.5633 | 1.61089 | 0.805444 | − | 0.592671i | \(-0.201927\pi\) | ||||
0.805444 | + | 0.592671i | \(0.201927\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −19.6025 | −2.92217 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −12.9228 | −1.88498 | −0.942491 | − | 0.334233i | \(-0.891523\pi\) | ||||
−0.942491 | + | 0.334233i | \(0.891523\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 17.0975 | 2.44250 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.532925 | 0.0746244 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.69453 | 0.644843 | 0.322421 | − | 0.946596i | \(-0.395503\pi\) | ||||
0.322421 | + | 0.946596i | \(0.395503\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.55468 | 0.344473 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −16.8495 | −2.23177 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.35178 | 0.826932 | 0.413466 | − | 0.910520i | \(-0.364318\pi\) | ||||
0.413466 | + | 0.910520i | \(0.364318\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.33912 | 0.939678 | 0.469839 | − | 0.882752i | \(-0.344312\pi\) | ||||
0.469839 | + | 0.882752i | \(0.344312\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 32.0167 | 4.03373 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −9.44216 | −1.17116 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.2594 | −1.49772 | −0.748862 | − | 0.662726i | \(-0.769399\pi\) | ||||
−0.748862 | + | 0.662726i | \(0.769399\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.46726 | −0.658181 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.18800 | −0.497024 | −0.248512 | − | 0.968629i | \(-0.579942\pi\) | ||||
−0.248512 | + | 0.968629i | \(0.579942\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.73696 | 0.437378 | 0.218689 | − | 0.975795i | \(-0.429822\pi\) | ||||
0.218689 | + | 0.975795i | \(0.429822\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 12.4456 | 1.43709 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.17256 | −0.475507 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −13.9088 | −1.56487 | −0.782433 | − | 0.622735i | \(-0.786021\pi\) | ||||
−0.782433 | + | 0.622735i | \(0.786021\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 13.9719 | 1.55244 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.877723 | 0.0963426 | 0.0481713 | − | 0.998839i | \(-0.484661\pi\) | ||||
0.0481713 | + | 0.998839i | \(0.484661\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.519062 | −0.0563002 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 13.5475 | 1.45244 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −7.18554 | −0.761665 | −0.380833 | − | 0.924644i | \(-0.624363\pi\) | ||||
−0.380833 | + | 0.924644i | \(0.624363\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 15.4219 | 1.61665 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.43250 | −0.563324 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 16.4112 | 1.68375 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 14.1722 | 1.43897 | 0.719484 | − | 0.694509i | \(-0.244379\pi\) | ||||
0.719484 | + | 0.694509i | \(0.244379\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −5.54378 | −0.557171 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.17030 | 0.812975 | 0.406488 | − | 0.913656i | \(-0.366753\pi\) | ||||
0.406488 | + | 0.913656i | \(0.366753\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 17.0847 | 1.68341 | 0.841705 | − | 0.539938i | \(-0.181552\pi\) | ||||
0.841705 | + | 0.539938i | \(0.181552\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −45.5275 | −4.44303 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.22945 | −0.408877 | −0.204438 | − | 0.978879i | \(-0.565537\pi\) | ||||
−0.204438 | + | 0.978879i | \(0.565537\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.38410 | 0.898834 | 0.449417 | − | 0.893322i | \(-0.351632\pi\) | ||||
0.449417 | + | 0.893322i | \(0.351632\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 22.7643 | 2.16069 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.0346 | −1.32026 | −0.660131 | − | 0.751151i | \(-0.729499\pi\) | ||||
−0.660131 | + | 0.751151i | \(0.729499\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.32504 | 0.496563 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 20.4900 | 1.89430 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.847783 | 0.0777162 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.2775 | −0.934319 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 23.0872 | 2.08171 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.90578 | 0.259901 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.8238 | 1.13793 | 0.568966 | − | 0.822361i | \(-0.307343\pi\) | ||||
0.568966 | + | 0.822361i | \(0.307343\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 32.5962 | 2.86994 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −17.4621 | −1.52567 | −0.762837 | − | 0.646591i | \(-0.776194\pi\) | ||||
−0.762837 | + | 0.646591i | \(0.776194\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −26.8043 | −2.32423 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −32.6659 | −2.81144 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.05531 | −0.688211 | −0.344106 | − | 0.938931i | \(-0.611818\pi\) | ||||
−0.344106 | + | 0.938931i | \(0.611818\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.3211 | −1.04506 | −0.522532 | − | 0.852620i | \(-0.675013\pi\) | ||||
−0.522532 | + | 0.852620i | \(0.675013\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −39.8771 | −3.35826 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −2.67034 | −0.223305 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.1950 | −1.09579 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 52.7595 | 4.35153 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 9.77241 | 0.800587 | 0.400293 | − | 0.916387i | \(-0.368908\pi\) | ||||
0.400293 | + | 0.916387i | \(0.368908\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 22.8681 | 1.86098 | 0.930489 | − | 0.366320i | \(-0.119382\pi\) | ||||
0.930489 | + | 0.366320i | \(0.119382\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.12639 | 0.0910633 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.29118 | 0.424998 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.34574 | −0.426637 | −0.213318 | − | 0.976983i | \(-0.568427\pi\) | ||||
−0.213318 | + | 0.976983i | \(0.568427\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 14.4864 | 1.14884 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −8.69739 | −0.685450 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.53197 | 0.119993 | 0.0599967 | − | 0.998199i | \(-0.480891\pi\) | ||||
0.0599967 | + | 0.998199i | \(0.480891\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 7.88322 | 0.613708 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.09636 | 0.549133 | 0.274566 | − | 0.961568i | \(-0.411466\pi\) | ||||
0.274566 | + | 0.961568i | \(0.411466\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.13035 | −0.240796 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −35.6131 | −2.72340 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.31550 | −0.252073 | −0.126036 | − | 0.992026i | \(-0.540226\pi\) | ||||
−0.126036 | + | 0.992026i | \(0.540226\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 19.7986 | 1.49663 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 19.6003 | 1.47325 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.496922 | −0.0371417 | −0.0185708 | − | 0.999828i | \(-0.505912\pi\) | ||||
−0.0185708 | + | 0.999828i | \(0.505912\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −25.1294 | −1.86785 | −0.933926 | − | 0.357465i | \(-0.883641\pi\) | ||||
−0.933926 | + | 0.357465i | \(0.883641\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 22.6470 | 1.67412 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −22.1721 | −1.63012 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.146796 | −0.0107348 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 53.3533 | 3.88088 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −13.6779 | −0.989698 | −0.494849 | − | 0.868979i | \(-0.664777\pi\) | ||||
−0.494849 | + | 0.868979i | \(0.664777\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.968154 | −0.0696892 | −0.0348446 | − | 0.999393i | \(-0.511094\pi\) | ||||
−0.0348446 | + | 0.999393i | \(0.511094\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −29.1366 | −2.08651 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 24.9818 | 1.77988 | 0.889941 | − | 0.456076i | \(-0.150745\pi\) | ||||
0.889941 | + | 0.456076i | \(0.150745\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.8012 | −1.04923 | −0.524616 | − | 0.851339i | \(-0.675791\pi\) | ||||
−0.524616 | + | 0.851339i | \(0.675791\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −37.8300 | −2.66832 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 21.5515 | 1.51262 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −22.4867 | −1.57054 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −11.5556 | −0.803171 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.64125 | 0.321042 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −19.4904 | −1.34177 | −0.670886 | − | 0.741560i | \(-0.734086\pi\) | ||||
−0.670886 | + | 0.741560i | \(0.734086\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −12.9233 | −0.885491 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −31.7483 | −2.16522 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.64208 | −0.586663 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 11.5315 | 0.779227 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.542562 | 0.0364967 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.80484 | 0.656580 | 0.328290 | − | 0.944577i | \(-0.393528\pi\) | ||||
0.328290 | + | 0.944577i | \(0.393528\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 26.3050 | 1.75367 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 1.76043 | 0.116844 | 0.0584218 | − | 0.998292i | \(-0.481393\pi\) | ||||
0.0584218 | + | 0.998292i | \(0.481393\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.16511 | 0.209156 | 0.104578 | − | 0.994517i | \(-0.466651\pi\) | ||||
0.104578 | + | 0.994517i | \(0.466651\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −12.8757 | −0.847156 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −0.980144 | −0.0642114 | −0.0321057 | − | 0.999484i | \(-0.510221\pi\) | ||||
−0.0321057 | + | 0.999484i | \(0.510221\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 38.8398 | 2.53363 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −42.9198 | −2.78794 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 14.1600 | 0.915935 | 0.457967 | − | 0.888969i | \(-0.348578\pi\) | ||||
0.457967 | + | 0.888969i | \(0.348578\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 22.7300 | 1.46417 | 0.732085 | − | 0.681213i | \(-0.238547\pi\) | ||||
0.732085 | + | 0.681213i | \(0.238547\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 10.5087 | 0.674134 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −51.3871 | −3.28300 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −17.1542 | −1.09149 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.70847 | 0.171643 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.76643 | −0.174616 | −0.0873079 | − | 0.996181i | \(-0.527826\pi\) | ||||
−0.0873079 | + | 0.996181i | \(0.527826\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.50598 | 0.0946800 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.60172 | −0.100304 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −10.7251 | −0.669014 | −0.334507 | − | 0.942393i | \(-0.608570\pi\) | ||||
−0.334507 | + | 0.942393i | \(0.608570\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 36.2136 | 2.25021 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 28.6339 | 1.77240 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −7.01264 | −0.432418 | −0.216209 | − | 0.976347i | \(-0.569369\pi\) | ||||
−0.216209 | + | 0.976347i | \(0.569369\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −14.1095 | −0.866741 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −22.1731 | −1.35697 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −6.84967 | −0.417632 | −0.208816 | − | 0.977955i | \(-0.566961\pi\) | ||||
−0.208816 | + | 0.977955i | \(0.566961\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −11.9347 | −0.724979 | −0.362490 | − | 0.931988i | \(-0.618073\pi\) | ||||
−0.362490 | + | 0.931988i | \(0.618073\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 47.5888 | 2.88020 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.42819 | −0.206727 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.3557 | 1.04280 | 0.521401 | − | 0.853312i | \(-0.325410\pi\) | ||||
0.521401 | + | 0.853312i | \(0.325410\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −11.4821 | −0.687417 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.73252 | 0.461283 | 0.230642 | − | 0.973039i | \(-0.425918\pi\) | ||||
0.230642 | + | 0.973039i | \(0.425918\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −25.4626 | −1.51360 | −0.756798 | − | 0.653649i | \(-0.773237\pi\) | ||||
−0.756798 | + | 0.653649i | \(0.773237\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 50.6415 | 2.99975 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 36.7274 | 2.16795 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.9702 | −0.998246 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 43.7325 | 2.56364 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.81414 | 0.105983 | 0.0529915 | − | 0.998595i | \(-0.483124\pi\) | ||||
0.0529915 | + | 0.998595i | \(0.483124\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −19.0904 | −1.11149 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −9.23827 | −0.536059 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.56613 | −0.321898 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 51.8545 | 2.98884 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 25.2119 | 1.44839 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −22.0579 | −1.26303 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6.62368 | −0.378034 | −0.189017 | − | 0.981974i | \(-0.560530\pi\) | ||||
−0.189017 | + | 0.981974i | \(0.560530\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 52.7200 | 2.99914 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −5.20576 | −0.295192 | −0.147596 | − | 0.989048i | \(-0.547153\pi\) | ||||
−0.147596 | + | 0.989048i | \(0.547153\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 19.9901 | 1.12991 | 0.564953 | − | 0.825123i | \(-0.308894\pi\) | ||||
0.564953 | + | 0.825123i | \(0.308894\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −96.2271 | −5.42178 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −11.4146 | −0.641111 | −0.320555 | − | 0.947230i | \(-0.603869\pi\) | ||||
−0.320555 | + | 0.947230i | \(0.603869\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.73170 | −0.208935 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −13.0512 | −0.728449 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.943013 | −0.0524706 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.6707 | 0.702842 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 28.9574 | 1.60135 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −63.4369 | −3.49739 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.4352 | 0.793433 | 0.396716 | − | 0.917941i | \(-0.370150\pi\) | ||||
0.396716 | + | 0.917941i | \(0.370150\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 48.1146 | 2.63666 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 36.8459 | 2.01311 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −10.7553 | −0.585880 | −0.292940 | − | 0.956131i | \(-0.594634\pi\) | ||||
−0.292940 | + | 0.956131i | \(0.594634\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −43.3078 | −2.35216 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.49640 | 0.0810347 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 49.5680 | 2.67642 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 16.4320 | 0.884670 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 29.7298 | 1.59598 | 0.797990 | − | 0.602671i | \(-0.205897\pi\) | ||||
0.797990 | + | 0.602671i | \(0.205897\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.4030 | 0.985090 | 0.492545 | − | 0.870287i | \(-0.336067\pi\) | ||||
0.492545 | + | 0.870287i | \(0.336067\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 34.1449 | 1.82252 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 16.5287 | 0.879731 | 0.439866 | − | 0.898064i | \(-0.355026\pi\) | ||||
0.439866 | + | 0.898064i | \(0.355026\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.5871 | 0.668056 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 2.61609 | 0.138458 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −21.3513 | −1.12688 | −0.563438 | − | 0.826158i | \(-0.690522\pi\) | ||||
−0.563438 | + | 0.826158i | \(0.690522\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.8152 | 0.569222 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −31.7143 | −1.66457 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −11.2315 | −0.587885 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −30.2930 | −1.58128 | −0.790642 | − | 0.612279i | \(-0.790253\pi\) | ||||
−0.790642 | + | 0.612279i | \(0.790253\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 48.7972 | 2.54028 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 23.0451 | 1.19644 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.31523 | −0.326990 | −0.163495 | − | 0.986544i | \(-0.552277\pi\) | ||||
−0.163495 | + | 0.986544i | \(0.552277\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 8.96664 | 0.463035 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 13.7924 | 0.710347 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.57418 | 0.286327 | 0.143163 | − | 0.989699i | \(-0.454273\pi\) | ||||
0.143163 | + | 0.989699i | \(0.454273\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 39.5718 | 2.02732 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 3.24541 | 0.165833 | 0.0829164 | − | 0.996557i | \(-0.473577\pi\) | ||||
0.0829164 | + | 0.996557i | \(0.473577\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.5407 | 0.639135 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 68.8954 | 3.50215 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 33.3075 | 1.68876 | 0.844378 | − | 0.535748i | \(-0.179970\pi\) | ||||
0.844378 | + | 0.535748i | \(0.179970\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.305986 | −0.0154744 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −53.8846 | −2.71812 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 41.8033 | 2.10335 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 32.3583 | 1.62401 | 0.812007 | − | 0.583647i | \(-0.198375\pi\) | ||||
0.812007 | + | 0.583647i | \(0.198375\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −82.7128 | −4.14082 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 27.0097 | 1.34880 | 0.674401 | − | 0.738366i | \(-0.264402\pi\) | ||||
0.674401 | + | 0.738366i | \(0.264402\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.53074 | −0.275506 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −41.9930 | −2.08665 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −6.27050 | −0.310817 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −19.0459 | −0.941761 | −0.470881 | − | 0.882197i | \(-0.656064\pi\) | ||||
−0.470881 | + | 0.882197i | \(0.656064\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −24.8570 | −1.22611 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 31.1804 | 1.53429 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.63802 | −0.129495 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −38.0205 | −1.86187 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 21.0836 | 1.03000 | 0.515000 | − | 0.857190i | \(-0.327792\pi\) | ||||
0.515000 | + | 0.857190i | \(0.327792\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.5467 | 0.611491 | 0.305745 | − | 0.952113i | \(-0.401094\pi\) | ||||
0.305745 | + | 0.952113i | \(0.401094\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −84.2842 | −4.09804 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.696542 | 0.0337872 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 36.0272 | 1.74348 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −8.24013 | −0.397837 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −37.1322 | −1.78860 | −0.894298 | − | 0.447471i | \(-0.852325\pi\) | ||||
−0.894298 | + | 0.447471i | \(0.852325\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 13.7904 | 0.662723 | 0.331361 | − | 0.943504i | \(-0.392492\pi\) | ||||
0.331361 | + | 0.943504i | \(0.392492\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −40.7172 | −1.95224 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 9.67435 | 0.462787 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.02188 | 0.335136 | 0.167568 | − | 0.985861i | \(-0.446409\pi\) | ||||
0.167568 | + | 0.985861i | \(0.446409\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 111.513 | 5.31012 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −34.9978 | −1.66280 | −0.831398 | − | 0.555677i | \(-0.812459\pi\) | ||||
−0.831398 | + | 0.555677i | \(0.812459\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 21.5963 | 1.02376 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 30.1557 | 1.42631 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −28.6892 | −1.35393 | −0.676963 | − | 0.736017i | \(-0.736704\pi\) | ||||
−0.676963 | + | 0.736017i | \(0.736704\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.35946 | −0.299455 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 70.5663 | 3.31549 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −46.3508 | −2.17296 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.33327 | −0.296258 | −0.148129 | − | 0.988968i | \(-0.547325\pi\) | ||||
−0.148129 | + | 0.988968i | \(0.547325\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.87704 | 0.0876127 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 33.7309 | 1.57101 | 0.785503 | − | 0.618858i | \(-0.212404\pi\) | ||||
0.785503 | + | 0.618858i | \(0.212404\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.33042 | −0.0618296 | −0.0309148 | − | 0.999522i | \(-0.509842\pi\) | ||||
−0.0309148 | + | 0.999522i | \(0.509842\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 16.3275 | 0.757170 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −38.7824 | −1.79463 | −0.897317 | − | 0.441386i | \(-0.854487\pi\) | ||||
−0.897317 | + | 0.441386i | \(0.854487\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −60.1805 | −2.77888 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −16.4959 | −0.760090 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −8.97875 | −0.412843 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −22.0225 | −1.01046 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 30.6184 | 1.40192 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 6.05881 | 0.276834 | 0.138417 | − | 0.990374i | \(-0.455799\pi\) | ||||
0.138417 | + | 0.990374i | \(0.455799\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 23.1759 | 1.05673 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −26.8384 | −1.22119 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −42.5949 | −1.93413 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.8084 | −0.535092 | −0.267546 | − | 0.963545i | \(-0.586213\pi\) | ||||
−0.267546 | + | 0.963545i | \(0.586213\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 4.72736 | 0.213779 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 20.9540 | 0.945639 | 0.472819 | − | 0.881159i | \(-0.343236\pi\) | ||||
0.472819 | + | 0.881159i | \(0.343236\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.758209 | 0.0341480 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 16.6620 | 0.748901 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −20.5586 | −0.922178 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.79481 | −0.438476 | −0.219238 | − | 0.975671i | \(-0.570357\pi\) | ||||
−0.219238 | + | 0.975671i | \(0.570357\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 21.8979 | 0.978328 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 6.08455 | 0.271297 | 0.135648 | − | 0.990757i | \(-0.456688\pi\) | ||||
0.135648 | + | 0.990757i | \(0.456688\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −24.5561 | −1.09273 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −9.65964 | −0.429000 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 10.5870 | 0.469260 | 0.234630 | − | 0.972085i | \(-0.424612\pi\) | ||||
0.234630 | + | 0.972085i | \(0.424612\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 18.3444 | 0.811511 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −59.3463 | −2.62020 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −51.3486 | −2.26269 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.9843 | 0.483088 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −10.2310 | −0.449089 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −18.7980 | −0.823554 | −0.411777 | − | 0.911285i | \(-0.635092\pi\) | ||||
−0.411777 | + | 0.911285i | \(0.635092\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 36.4479 | 1.59376 | 0.796878 | − | 0.604140i | \(-0.206483\pi\) | ||||
0.796878 | + | 0.604140i | \(0.206483\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 61.0945 | 2.66638 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.304040 | −0.0132442 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −19.8609 | −0.863517 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 41.4272 | 1.79779 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 23.5047 | 1.01810 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 12.7117 | 0.549576 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.53340 | −0.0661711 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −14.5328 | −0.625972 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.2001 | −1.04045 | −0.520223 | − | 0.854031i | \(-0.674151\pi\) | ||||
−0.520223 | + | 0.854031i | \(0.674151\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −77.5442 | −3.32774 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −28.2042 | −1.20813 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.68909 | 0.200491 | 0.100245 | − | 0.994963i | \(-0.468037\pi\) | ||||
0.100245 | + | 0.994963i | \(0.468037\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 47.8668 | 2.04291 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −23.9723 | −1.02125 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −68.2774 | −2.90345 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −68.4186 | −2.90421 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −40.6042 | −1.72045 | −0.860227 | − | 0.509911i | \(-0.829678\pi\) | ||||
−0.860227 | + | 0.509911i | \(0.829678\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 33.1857 | 1.40360 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.452983 | −0.0191250 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −30.7338 | −1.29527 | −0.647637 | − | 0.761949i | \(-0.724243\pi\) | ||||
−0.647637 | + | 0.761949i | \(0.724243\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 42.1813 | 1.77458 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 68.5872 | 2.88039 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −38.7893 | −1.62613 | −0.813065 | − | 0.582173i | \(-0.802203\pi\) | ||||
−0.813065 | + | 0.582173i | \(0.802203\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.20361 | −0.134067 | −0.0670335 | − | 0.997751i | \(-0.521353\pi\) | ||||
−0.0670335 | + | 0.997751i | \(0.521353\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −42.2072 | −1.76323 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −7.14581 | −0.298001 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −45.4151 | −1.89066 | −0.945328 | − | 0.326123i | \(-0.894258\pi\) | ||||
−0.945328 | + | 0.326123i | \(0.894258\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.98753 | −0.124157 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.30867 | 0.178754 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.99032 | −0.165262 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −61.5831 | −2.54615 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −22.2499 | −0.918354 | −0.459177 | − | 0.888345i | \(-0.651856\pi\) | ||||
−0.459177 | + | 0.888345i | \(0.651856\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.61283 | 0.396090 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 77.0889 | 3.17101 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −13.1505 | −0.540027 | −0.270013 | − | 0.962857i | \(-0.587028\pi\) | ||||
−0.270013 | + | 0.962857i | \(0.587028\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.54803 | −0.104459 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −45.6736 | −1.86930 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −34.8226 | −1.42281 | −0.711406 | − | 0.702781i | \(-0.751941\pi\) | ||||
−0.711406 | + | 0.702781i | \(0.751941\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.65276 | −0.0674176 | −0.0337088 | − | 0.999432i | \(-0.510732\pi\) | ||||
−0.0337088 | + | 0.999432i | \(0.510732\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −79.9576 | −3.25612 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 30.8893 | 1.25583 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 12.7664 | 0.518173 | 0.259087 | − | 0.965854i | \(-0.416578\pi\) | ||||
0.259087 | + | 0.965854i | \(0.416578\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 66.5034 | 2.69486 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −40.5982 | −1.64243 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.26224 | −0.131761 | −0.0658804 | − | 0.997828i | \(-0.520986\pi\) | ||||
−0.0658804 | + | 0.997828i | \(0.520986\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −69.3893 | −2.79805 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.35479 | −0.0948002 | −0.0474001 | − | 0.998876i | \(-0.515094\pi\) | ||||
−0.0474001 | + | 0.998876i | \(0.515094\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −24.9975 | −1.00474 | −0.502368 | − | 0.864654i | \(-0.667538\pi\) | ||||
−0.502368 | + | 0.864654i | \(0.667538\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −19.2565 | −0.772737 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −35.2733 | −1.41319 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −28.8993 | −1.15597 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 14.3220 | 0.571964 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1.27404 | 0.0507995 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.92512 | −0.196066 | −0.0980330 | − | 0.995183i | \(-0.531255\pi\) | ||||
−0.0980330 | + | 0.995183i | \(0.531255\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −60.1433 | −2.39048 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −38.5424 | −1.52951 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 53.7136 | 2.12821 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −27.3147 | −1.08055 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −41.6086 | −1.64344 | −0.821720 | − | 0.569891i | \(-0.806985\pi\) | ||||
−0.821720 | + | 0.569891i | \(0.806985\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.0815 | −0.476449 | −0.238225 | − | 0.971210i | \(-0.576565\pi\) | ||||
−0.238225 | + | 0.971210i | \(0.576565\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −97.9688 | −3.85752 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.43603 | 0.0957701 | 0.0478851 | − | 0.998853i | \(-0.484752\pi\) | ||||
0.0478851 | + | 0.998853i | \(0.484752\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.39898 | −0.211928 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −26.6677 | −1.04519 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −24.2825 | −0.950249 | −0.475125 | − | 0.879918i | \(-0.657597\pi\) | ||||
−0.475125 | + | 0.879918i | \(0.657597\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 52.4829 | 2.05068 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 24.3730 | 0.950881 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.97727 | 0.154933 | 0.0774663 | − | 0.996995i | \(-0.475317\pi\) | ||||
0.0774663 | + | 0.996995i | \(0.475317\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.92623 | 0.230504 | 0.115252 | − | 0.993336i | \(-0.463232\pi\) | ||||
0.115252 | + | 0.993336i | \(0.463232\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.67424 | 0.0650220 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 80.5612 | 3.12403 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.77845 | −0.301183 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 30.2557 | 1.16975 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6.23821 | −0.240823 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.42299 | −0.170494 | −0.0852469 | − | 0.996360i | \(-0.527168\pi\) | ||||
−0.0852469 | + | 0.996360i | \(0.527168\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 43.8352 | 1.68722 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −10.1540 | −0.390251 | −0.195126 | − | 0.980778i | \(-0.562511\pi\) | ||||
−0.195126 | + | 0.980778i | \(0.562511\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 69.5702 | 2.66986 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.43232 | 0.208167 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −4.26271 | −0.163108 | −0.0815540 | − | 0.996669i | \(-0.525988\pi\) | ||||
−0.0815540 | + | 0.996669i | \(0.525988\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 24.2104 | 0.925033 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 9.76689 | 0.372630 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 14.7483 | 0.561866 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 41.5796 | 1.58176 | 0.790882 | − | 0.611969i | \(-0.209622\pi\) | ||||
0.790882 | + | 0.611969i | \(0.209622\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −27.2140 | −1.03377 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 37.0315 | 1.40468 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.29212 | 0.0489426 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −3.02453 | −0.114398 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 33.8219 | 1.27744 | 0.638718 | − | 0.769441i | \(-0.279465\pi\) | ||||
0.638718 | + | 0.769441i | \(0.279465\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −40.2814 | −1.51924 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 119.852 | 4.51387 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 40.1074 | 1.50839 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 36.3368 | 1.36466 | 0.682328 | − | 0.731046i | \(-0.260968\pi\) | ||||
0.682328 | + | 0.731046i | \(0.260968\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −90.7154 | −3.40209 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.11914 | 0.116813 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.02578 | 0.300147 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 43.6949 | 1.63182 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 3.25595 | 0.121426 | 0.0607132 | − | 0.998155i | \(-0.480662\pi\) | ||||
0.0607132 | + | 0.998155i | \(0.480662\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 83.8677 | 3.12340 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 70.1403 | 2.60855 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 17.7068 | 0.657612 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −33.5554 | −1.24450 | −0.622251 | − | 0.782818i | \(-0.713782\pi\) | ||||
−0.622251 | + | 0.782818i | \(0.713782\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −9.48809 | −0.351411 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.82431 | 0.0674745 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 39.9157 | 1.47432 | 0.737160 | − | 0.675718i | \(-0.236166\pi\) | ||||
0.737160 | + | 0.675718i | \(0.236166\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −158.570 | −5.84895 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 10.4204 | 0.383841 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 22.7446 | 0.836674 | 0.418337 | − | 0.908292i | \(-0.362613\pi\) | ||||
0.418337 | + | 0.908292i | \(0.362613\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −52.9343 | −1.94459 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 3.59269 | 0.131803 | 0.0659015 | − | 0.997826i | \(-0.479008\pi\) | ||||
0.0659015 | + | 0.997826i | \(0.479008\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −29.3712 | −1.07608 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 5.72464 | 0.209453 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −20.7621 | −0.758629 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.00000 | −0.0364905 | ||||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −8.53665 | −0.311093 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −68.7306 | −2.50136 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −25.7694 | −0.936603 | −0.468302 | − | 0.883569i | \(-0.655134\pi\) | ||||
−0.468302 | + | 0.883569i | \(0.655134\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 4.64714 | 0.168681 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −13.0413 | −0.472747 | −0.236373 | − | 0.971662i | \(-0.575959\pi\) | ||||
−0.236373 | + | 0.971662i | \(0.575959\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 46.0658 | 1.66770 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.38540 | −0.122399 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 19.9548 | 0.720524 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −40.7333 | −1.46888 | −0.734439 | − | 0.678674i | \(-0.762555\pi\) | ||||
−0.734439 | + | 0.678674i | \(0.762555\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −33.0955 | −1.19191 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −15.1877 | −0.546265 | −0.273133 | − | 0.961976i | \(-0.588060\pi\) | ||||
−0.273133 | + | 0.961976i | \(0.588060\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.10036 | −0.255053 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 111.748 | 4.00894 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −40.8530 | −1.46371 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.55977 | 0.127379 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 47.7161 | 1.70523 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 16.0668 | 0.573448 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 31.5078 | 1.12313 | 0.561567 | − | 0.827432i | \(-0.310199\pi\) | ||||
0.561567 | + | 0.827432i | \(0.310199\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −21.6396 | −0.770389 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −68.8946 | −2.44961 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 23.0566 | 0.818763 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −43.5391 | −1.54417 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −38.8212 | −1.37512 | −0.687559 | − | 0.726129i | \(-0.741318\pi\) | ||||
−0.687559 | + | 0.726129i | \(0.741318\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.23180 | −0.0789553 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −46.8651 | −1.65590 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −3.17639 | −0.112092 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 26.1402 | 0.921322 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −21.1367 | −0.744047 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 44.3592 | 1.55959 | 0.779794 | − | 0.626036i | \(-0.215324\pi\) | ||||
0.779794 | + | 0.626036i | \(0.215324\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.17475 | −0.322169 | −0.161085 | − | 0.986941i | \(-0.551499\pi\) | ||||
−0.161085 | + | 0.986941i | \(0.551499\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −36.8280 | −1.29161 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.60439 | −0.161285 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −57.6791 | −2.01794 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 100.584 | 3.51468 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −35.7167 | −1.24652 | −0.623260 | − | 0.782014i | \(-0.714192\pi\) | ||||
−0.623260 | + | 0.782014i | \(0.714192\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 33.3257 | 1.16166 | 0.580831 | − | 0.814024i | \(-0.302728\pi\) | ||||
0.580831 | + | 0.814024i | \(0.302728\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −10.5787 | −0.368303 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 30.1967 | 1.05004 | 0.525021 | − | 0.851089i | \(-0.324058\pi\) | ||||
0.525021 | + | 0.851089i | \(0.324058\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 29.1745 | 1.01327 | 0.506637 | − | 0.862160i | \(-0.330889\pi\) | ||||
0.506637 | + | 0.862160i | \(0.330889\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 53.5561 | 1.85784 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.95279 | 0.102308 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −21.3283 | −0.738096 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −19.1340 | −0.661369 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.04312 | −0.0360125 | −0.0180063 | − | 0.999838i | \(-0.505732\pi\) | ||||
−0.0180063 | + | 0.999838i | \(0.505732\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.72560 | −0.335366 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 23.8610 | 0.821816 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 9.40836 | 0.323657 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −50.4515 | −1.73353 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −78.5725 | −2.69660 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −13.0704 | −0.448047 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −22.6944 | −0.777043 | −0.388521 | − | 0.921440i | \(-0.627014\pi\) | ||||
−0.388521 | + | 0.921440i | \(0.627014\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 107.036 | 3.66056 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 32.8976 | 1.12376 | 0.561880 | − | 0.827219i | \(-0.310078\pi\) | ||||
0.561880 | + | 0.827219i | \(0.310078\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −6.18870 | −0.211156 | −0.105578 | − | 0.994411i | \(-0.533669\pi\) | ||||
−0.105578 | + | 0.994411i | \(0.533669\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 113.333 | 3.86239 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −42.7305 | −1.45456 | −0.727281 | − | 0.686339i | \(-0.759216\pi\) | ||||
−0.727281 | + | 0.686339i | \(0.759216\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.96482 | 0.338814 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −52.3665 | −1.77846 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 11.8224 | 0.401048 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −38.5141 | −1.30500 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 92.4330 | 3.12838 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 14.2642 | 0.482219 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −22.3009 | −0.753048 | −0.376524 | − | 0.926407i | \(-0.622881\pi\) | ||||
−0.376524 | + | 0.926407i | \(0.622881\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 5.59806 | 0.188818 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −49.7586 | −1.67641 | −0.838204 | − | 0.545356i | \(-0.816394\pi\) | ||||
−0.838204 | + | 0.545356i | \(0.816394\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.4745 | −0.958243 | −0.479122 | − | 0.877748i | \(-0.659045\pi\) | ||||
−0.479122 | + | 0.877748i | \(0.659045\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −58.9093 | −1.98021 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 39.9822 | 1.34247 | 0.671236 | − | 0.741244i | \(-0.265764\pi\) | ||||
0.671236 | + | 0.741244i | \(0.265764\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 62.9513 | 2.11132 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −11.8761 | −0.397863 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 70.5627 | 2.36129 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.49351 | 0.0499226 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −17.1760 | −0.573488 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −7.72899 | −0.257776 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.810756 | 0.0270102 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 160.012 | 5.32488 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 75.5270 | 2.51060 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.0133 | −0.465304 | −0.232652 | − | 0.972560i | \(-0.574740\pi\) | ||||
−0.232652 | + | 0.972560i | \(0.574740\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 53.2879 | 1.76745 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −38.8620 | −1.28756 | −0.643778 | − | 0.765213i | \(-0.722634\pi\) | ||||
−0.643778 | + | 0.765213i | \(0.722634\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.746059 | −0.0246910 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −68.0663 | −2.25020 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −85.7202 | −2.83073 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 56.1238 | 1.85135 | 0.925676 | − | 0.378318i | \(-0.123497\pi\) | ||||
0.925676 | + | 0.378318i | \(0.123497\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −20.4393 | −0.673499 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −13.1570 | −0.433068 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 29.7533 | 0.978281 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 111.429 | 3.65981 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 7.53682 | 0.247275 | 0.123637 | − | 0.992327i | \(-0.460544\pi\) | ||||
0.123637 | + | 0.992327i | \(0.460544\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −93.3582 | −3.05969 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −16.0639 | −0.525909 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.441199 | 0.0144288 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 19.6885 | 0.643196 | 0.321598 | − | 0.946876i | \(-0.395780\pi\) | ||||
0.321598 | + | 0.946876i | \(0.395780\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 61.6853 | 2.01302 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 20.1273 | 0.656130 | 0.328065 | − | 0.944655i | \(-0.393603\pi\) | ||||
0.328065 | + | 0.944655i | \(0.393603\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −13.2558 | −0.431669 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −160.355 | −5.21634 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 0.220832 | 0.00717609 | 0.00358805 | − | 0.999994i | \(-0.498858\pi\) | ||||
0.00358805 | + | 0.999994i | \(0.498858\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 11.7400 | 0.381097 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −35.2233 | −1.14219 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −56.4140 | −1.82743 | −0.913715 | − | 0.406356i | \(-0.866799\pi\) | ||||
−0.913715 | + | 0.406356i | \(0.866799\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 41.1093 | 1.33027 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −11.5153 | −0.372235 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −39.5429 | −1.27691 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.9007 | −0.900022 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −27.5851 | −0.888918 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 2.90981 | 0.0936702 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −14.1085 | −0.453697 | −0.226849 | − | 0.973930i | \(-0.572842\pi\) | ||||
−0.226849 | + | 0.973930i | \(0.572842\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.90995 | −0.0934809 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −14.1387 | −0.453734 | −0.226867 | − | 0.973926i | \(-0.572848\pi\) | ||||
−0.226867 | + | 0.973926i | \(0.572848\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −60.4835 | −1.93901 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 39.0991 | 1.25217 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 29.8439 | 0.954792 | 0.477396 | − | 0.878688i | \(-0.341581\pi\) | ||||
0.477396 | + | 0.878688i | \(0.341581\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.10766 | 0.195202 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 61.2045 | 1.95411 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −49.6855 | −1.58472 | −0.792361 | − | 0.610053i | \(-0.791148\pi\) | ||||
−0.792361 | + | 0.610053i | \(0.791148\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −75.0836 | −2.39236 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −195.754 | −6.23090 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −18.7155 | −0.595120 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.7426 | 0.690677 | 0.345338 | − | 0.938478i | \(-0.387764\pi\) | ||||
0.345338 | + | 0.938478i | \(0.387764\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 44.5442 | 1.41357 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 44.4855 | 1.41029 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 8.62639 | 0.273200 | 0.136600 | − | 0.990626i | \(-0.456382\pi\) | ||||
0.136600 | + | 0.990626i | \(0.456382\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 80.1790 | 2.53675 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 6008.2.a.e.1.48 | ✓ | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6008.2.a.e.1.48 | ✓ | 50 | 1.1 | even | 1 | trivial |