Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2583,2,Mod(1,2583)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2583, 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("2583.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2583 = 3^{2} \cdot 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2583.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: | \(20.6253588421\) |
Analytic rank: | \(0\) |
Dimension: | \(5\) |
Coefficient field: | 5.5.633117.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{5} - x^{4} - 6x^{3} + 4x^{2} + 6x - 3 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 287) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(-2.03121\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2583.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.03121 | −1.43628 | −0.718142 | − | 0.695897i | \(-0.755007\pi\) | ||||
−0.718142 | + | 0.695897i | \(0.755007\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.12582 | 1.06291 | ||||||||
\(5\) | 3.82713 | 1.71155 | 0.855773 | − | 0.517351i | \(-0.173082\pi\) | ||||
0.855773 | + | 0.517351i | \(0.173082\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | −0.255573 | −0.0903586 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −7.77372 | −2.45827 | ||||||||
\(11\) | 5.96294 | 1.79789 | 0.898947 | − | 0.438057i | \(-0.144333\pi\) | ||||
0.898947 | + | 0.438057i | \(0.144333\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.44574 | 0.400976 | 0.200488 | − | 0.979696i | \(-0.435747\pi\) | ||||
0.200488 | + | 0.979696i | \(0.435747\pi\) | |||||||
\(14\) | −2.03121 | −0.542864 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.73252 | −0.933131 | ||||||||
\(17\) | −6.06148 | −1.47012 | −0.735062 | − | 0.677999i | \(-0.762847\pi\) | ||||
−0.735062 | + | 0.677999i | \(0.762847\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0743284 | −0.0170521 | −0.00852605 | − | 0.999964i | \(-0.502714\pi\) | ||||
−0.00852605 | + | 0.999964i | \(0.502714\pi\) | |||||||
\(20\) | 8.13581 | 1.81922 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −12.1120 | −2.58229 | ||||||||
\(23\) | 4.43383 | 0.924518 | 0.462259 | − | 0.886745i | \(-0.347039\pi\) | ||||
0.462259 | + | 0.886745i | \(0.347039\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 9.64695 | 1.92939 | ||||||||
\(26\) | −2.93660 | −0.575915 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.12582 | 0.401743 | ||||||||
\(29\) | 1.92662 | 0.357764 | 0.178882 | − | 0.983871i | \(-0.442752\pi\) | ||||
0.178882 | + | 0.983871i | \(0.442752\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.76471 | 0.316951 | 0.158476 | − | 0.987363i | \(-0.449342\pi\) | ||||
0.158476 | + | 0.987363i | \(0.449342\pi\) | |||||||
\(32\) | 8.09269 | 1.43060 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 12.3122 | 2.11152 | ||||||||
\(35\) | 3.82713 | 0.646904 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.497233 | 0.0817446 | 0.0408723 | − | 0.999164i | \(-0.486986\pi\) | ||||
0.0408723 | + | 0.999164i | \(0.486986\pi\) | |||||||
\(38\) | 0.150977 | 0.0244917 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.978111 | −0.154653 | ||||||||
\(41\) | 1.00000 | 0.156174 | ||||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.10393 | 0.625844 | 0.312922 | − | 0.949779i | \(-0.398692\pi\) | ||||
0.312922 | + | 0.949779i | \(0.398692\pi\) | |||||||
\(44\) | 12.6762 | 1.91100 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −9.00606 | −1.32787 | ||||||||
\(47\) | 2.92536 | 0.426708 | 0.213354 | − | 0.976975i | \(-0.431561\pi\) | ||||
0.213354 | + | 0.976975i | \(0.431561\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −19.5950 | −2.77115 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.07338 | 0.426202 | ||||||||
\(53\) | −3.08431 | −0.423663 | −0.211832 | − | 0.977306i | \(-0.567943\pi\) | ||||
−0.211832 | + | 0.977306i | \(0.567943\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 22.8210 | 3.07718 | ||||||||
\(56\) | −0.255573 | −0.0341523 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.91337 | −0.513850 | ||||||||
\(59\) | −11.4408 | −1.48947 | −0.744735 | − | 0.667360i | \(-0.767424\pi\) | ||||
−0.744735 | + | 0.667360i | \(0.767424\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.94851 | 0.377517 | 0.188759 | − | 0.982023i | \(-0.439554\pi\) | ||||
0.188759 | + | 0.982023i | \(0.439554\pi\) | |||||||
\(62\) | −3.58450 | −0.455232 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.97293 | −1.12162 | ||||||||
\(65\) | 5.53303 | 0.686288 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.12488 | −0.137426 | −0.0687129 | − | 0.997636i | \(-0.521889\pi\) | ||||
−0.0687129 | + | 0.997636i | \(0.521889\pi\) | |||||||
\(68\) | −12.8856 | −1.56261 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −7.77372 | −0.929137 | ||||||||
\(71\) | −5.87671 | −0.697437 | −0.348719 | − | 0.937227i | \(-0.613383\pi\) | ||||
−0.348719 | + | 0.937227i | \(0.613383\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 15.7737 | 1.84617 | 0.923087 | − | 0.384591i | \(-0.125657\pi\) | ||||
0.923087 | + | 0.384591i | \(0.125657\pi\) | |||||||
\(74\) | −1.00999 | −0.117408 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.158009 | −0.0181249 | ||||||||
\(77\) | 5.96294 | 0.679540 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.5736 | −1.63965 | −0.819827 | − | 0.572611i | \(-0.805931\pi\) | ||||
−0.819827 | + | 0.572611i | \(0.805931\pi\) | |||||||
\(80\) | −14.2849 | −1.59710 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.03121 | −0.224310 | ||||||||
\(83\) | 14.4941 | 1.59093 | 0.795465 | − | 0.606000i | \(-0.207227\pi\) | ||||
0.795465 | + | 0.606000i | \(0.207227\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −23.1981 | −2.51619 | ||||||||
\(86\) | −8.33596 | −0.898890 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.52396 | −0.162455 | ||||||||
\(89\) | −0.670099 | −0.0710303 | −0.0355152 | − | 0.999369i | \(-0.511307\pi\) | ||||
−0.0355152 | + | 0.999369i | \(0.511307\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.44574 | 0.151555 | ||||||||
\(92\) | 9.42555 | 0.982681 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.94203 | −0.612873 | ||||||||
\(95\) | −0.284465 | −0.0291855 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.5587 | −1.07207 | −0.536036 | − | 0.844195i | \(-0.680079\pi\) | ||||
−0.536036 | + | 0.844195i | \(0.680079\pi\) | |||||||
\(98\) | −2.03121 | −0.205183 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 20.5077 | 2.05077 | ||||||||
\(101\) | 3.20947 | 0.319355 | 0.159677 | − | 0.987169i | \(-0.448955\pi\) | ||||
0.159677 | + | 0.987169i | \(0.448955\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.79008 | 0.570513 | 0.285257 | − | 0.958451i | \(-0.407921\pi\) | ||||
0.285257 | + | 0.958451i | \(0.407921\pi\) | |||||||
\(104\) | −0.369491 | −0.0362316 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.26490 | 0.608500 | ||||||||
\(107\) | 5.90146 | 0.570516 | 0.285258 | − | 0.958451i | \(-0.407921\pi\) | ||||
0.285258 | + | 0.958451i | \(0.407921\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −13.4426 | −1.28756 | −0.643782 | − | 0.765209i | \(-0.722636\pi\) | ||||
−0.643782 | + | 0.765209i | \(0.722636\pi\) | |||||||
\(110\) | −46.3542 | −4.41970 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.73252 | −0.352690 | ||||||||
\(113\) | −6.01283 | −0.565639 | −0.282820 | − | 0.959173i | \(-0.591270\pi\) | ||||
−0.282820 | + | 0.959173i | \(0.591270\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 16.9689 | 1.58236 | ||||||||
\(116\) | 4.09564 | 0.380271 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 23.2388 | 2.13930 | ||||||||
\(119\) | −6.06148 | −0.555655 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 24.5567 | 2.23242 | ||||||||
\(122\) | −5.98904 | −0.542222 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.75146 | 0.336891 | ||||||||
\(125\) | 17.7845 | 1.59070 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.27284 | −0.556625 | −0.278312 | − | 0.960491i | \(-0.589775\pi\) | ||||
−0.278312 | + | 0.960491i | \(0.589775\pi\) | |||||||
\(128\) | 2.04053 | 0.180360 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −11.2388 | −0.985705 | ||||||||
\(131\) | −12.0382 | −1.05178 | −0.525892 | − | 0.850551i | \(-0.676268\pi\) | ||||
−0.525892 | + | 0.850551i | \(0.676268\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0743284 | −0.00644509 | ||||||||
\(134\) | 2.28487 | 0.197382 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.54915 | 0.132838 | ||||||||
\(137\) | −6.46697 | −0.552510 | −0.276255 | − | 0.961084i | \(-0.589093\pi\) | ||||
−0.276255 | + | 0.961084i | \(0.589093\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.66331 | −0.734812 | −0.367406 | − | 0.930061i | \(-0.619754\pi\) | ||||
−0.367406 | + | 0.930061i | \(0.619754\pi\) | |||||||
\(140\) | 8.13581 | 0.687601 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 11.9368 | 1.00172 | ||||||||
\(143\) | 8.62085 | 0.720912 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 7.37342 | 0.612329 | ||||||||
\(146\) | −32.0398 | −2.65163 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.05703 | 0.0868872 | ||||||||
\(149\) | −8.01997 | −0.657022 | −0.328511 | − | 0.944500i | \(-0.606547\pi\) | ||||
−0.328511 | + | 0.944500i | \(0.606547\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.83256 | −0.393268 | −0.196634 | − | 0.980477i | \(-0.563001\pi\) | ||||
−0.196634 | + | 0.980477i | \(0.563001\pi\) | |||||||
\(152\) | 0.0189963 | 0.00154080 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −12.1120 | −0.976013 | ||||||||
\(155\) | 6.75378 | 0.542477 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.2117 | −0.814982 | −0.407491 | − | 0.913209i | \(-0.633596\pi\) | ||||
−0.407491 | + | 0.913209i | \(0.633596\pi\) | |||||||
\(158\) | 29.6020 | 2.35501 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 30.9718 | 2.44854 | ||||||||
\(161\) | 4.43383 | 0.349435 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −19.2954 | −1.51133 | −0.755665 | − | 0.654958i | \(-0.772686\pi\) | ||||
−0.755665 | + | 0.654958i | \(0.772686\pi\) | |||||||
\(164\) | 2.12582 | 0.165999 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −29.4405 | −2.28503 | ||||||||
\(167\) | −2.42397 | −0.187572 | −0.0937861 | − | 0.995592i | \(-0.529897\pi\) | ||||
−0.0937861 | + | 0.995592i | \(0.529897\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.9098 | −0.839218 | ||||||||
\(170\) | 47.1202 | 3.61396 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.72423 | 0.665217 | ||||||||
\(173\) | 8.79388 | 0.668587 | 0.334293 | − | 0.942469i | \(-0.391502\pi\) | ||||
0.334293 | + | 0.942469i | \(0.391502\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.64695 | 0.729241 | ||||||||
\(176\) | −22.2568 | −1.67767 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.36111 | 0.102020 | ||||||||
\(179\) | −14.4831 | −1.08252 | −0.541259 | − | 0.840856i | \(-0.682052\pi\) | ||||
−0.541259 | + | 0.840856i | \(0.682052\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.07539 | −0.228592 | −0.114296 | − | 0.993447i | \(-0.536461\pi\) | ||||
−0.114296 | + | 0.993447i | \(0.536461\pi\) | |||||||
\(182\) | −2.93660 | −0.217675 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.13317 | −0.0835382 | ||||||||
\(185\) | 1.90298 | 0.139910 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −36.1442 | −2.64313 | ||||||||
\(188\) | 6.21880 | 0.453552 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.577808 | 0.0419186 | ||||||||
\(191\) | −4.90956 | −0.355243 | −0.177622 | − | 0.984099i | \(-0.556840\pi\) | ||||
−0.177622 | + | 0.984099i | \(0.556840\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.3050 | 0.813754 | 0.406877 | − | 0.913483i | \(-0.366618\pi\) | ||||
0.406877 | + | 0.913483i | \(0.366618\pi\) | |||||||
\(194\) | 21.4469 | 1.53980 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.12582 | 0.151844 | ||||||||
\(197\) | 17.8594 | 1.27243 | 0.636215 | − | 0.771512i | \(-0.280499\pi\) | ||||
0.636215 | + | 0.771512i | \(0.280499\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.6330 | 0.966419 | 0.483209 | − | 0.875505i | \(-0.339471\pi\) | ||||
0.483209 | + | 0.875505i | \(0.339471\pi\) | |||||||
\(200\) | −2.46550 | −0.174337 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.51912 | −0.458684 | ||||||||
\(203\) | 1.92662 | 0.135222 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.82713 | 0.267299 | ||||||||
\(206\) | −11.7609 | −0.819419 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.39625 | −0.374163 | ||||||||
\(209\) | −0.443216 | −0.0306579 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.4460 | 1.54525 | 0.772625 | − | 0.634863i | \(-0.218944\pi\) | ||||
0.772625 | + | 0.634863i | \(0.218944\pi\) | |||||||
\(212\) | −6.55670 | −0.450316 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −11.9871 | −0.819423 | ||||||||
\(215\) | 15.7063 | 1.07116 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.76471 | 0.119796 | ||||||||
\(218\) | 27.3047 | 1.84931 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 48.5133 | 3.27077 | ||||||||
\(221\) | −8.76331 | −0.589484 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.08663 | 0.273661 | 0.136831 | − | 0.990594i | \(-0.456308\pi\) | ||||
0.136831 | + | 0.990594i | \(0.456308\pi\) | |||||||
\(224\) | 8.09269 | 0.540716 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 12.2133 | 0.812419 | ||||||||
\(227\) | 19.5310 | 1.29632 | 0.648158 | − | 0.761506i | \(-0.275540\pi\) | ||||
0.648158 | + | 0.761506i | \(0.275540\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 23.0456 | 1.52290 | 0.761449 | − | 0.648225i | \(-0.224488\pi\) | ||||
0.761449 | + | 0.648225i | \(0.224488\pi\) | |||||||
\(230\) | −34.4674 | −2.27271 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.492390 | −0.0323270 | ||||||||
\(233\) | −7.69494 | −0.504112 | −0.252056 | − | 0.967713i | \(-0.581107\pi\) | ||||
−0.252056 | + | 0.967713i | \(0.581107\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.1957 | 0.730330 | ||||||||
\(236\) | −24.3212 | −1.58317 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 12.3122 | 0.798078 | ||||||||
\(239\) | 12.2279 | 0.790960 | 0.395480 | − | 0.918475i | \(-0.370578\pi\) | ||||
0.395480 | + | 0.918475i | \(0.370578\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.68209 | −0.237184 | −0.118592 | − | 0.992943i | \(-0.537838\pi\) | ||||
−0.118592 | + | 0.992943i | \(0.537838\pi\) | |||||||
\(242\) | −49.8798 | −3.20640 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.26800 | 0.401268 | ||||||||
\(245\) | 3.82713 | 0.244507 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.107459 | −0.00683748 | ||||||||
\(248\) | −0.451011 | −0.0286393 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −36.1241 | −2.28469 | ||||||||
\(251\) | 27.1519 | 1.71381 | 0.856907 | − | 0.515472i | \(-0.172383\pi\) | ||||
0.856907 | + | 0.515472i | \(0.172383\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 26.4387 | 1.66219 | ||||||||
\(254\) | 12.7415 | 0.799471 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.8011 | 0.862568 | ||||||||
\(257\) | 4.46344 | 0.278422 | 0.139211 | − | 0.990263i | \(-0.455543\pi\) | ||||
0.139211 | + | 0.990263i | \(0.455543\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.497233 | 0.0308965 | ||||||||
\(260\) | 11.7623 | 0.729464 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 24.4522 | 1.51066 | ||||||||
\(263\) | −16.6595 | −1.02727 | −0.513633 | − | 0.858010i | \(-0.671701\pi\) | ||||
−0.513633 | + | 0.858010i | \(0.671701\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.8041 | −0.725119 | ||||||||
\(266\) | 0.150977 | 0.00925698 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.39129 | −0.146071 | ||||||||
\(269\) | −3.43160 | −0.209229 | −0.104614 | − | 0.994513i | \(-0.533361\pi\) | ||||
−0.104614 | + | 0.994513i | \(0.533361\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 27.8083 | 1.68924 | 0.844618 | − | 0.535370i | \(-0.179828\pi\) | ||||
0.844618 | + | 0.535370i | \(0.179828\pi\) | |||||||
\(272\) | 22.6246 | 1.37182 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 13.1358 | 0.793561 | ||||||||
\(275\) | 57.5242 | 3.46884 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.5938 | −0.816774 | −0.408387 | − | 0.912809i | \(-0.633909\pi\) | ||||
−0.408387 | + | 0.912809i | \(0.633909\pi\) | |||||||
\(278\) | 17.5970 | 1.05540 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.978111 | −0.0584533 | ||||||||
\(281\) | −2.37494 | −0.141677 | −0.0708384 | − | 0.997488i | \(-0.522567\pi\) | ||||
−0.0708384 | + | 0.997488i | \(0.522567\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −22.9301 | −1.36305 | −0.681526 | − | 0.731794i | \(-0.738683\pi\) | ||||
−0.681526 | + | 0.731794i | \(0.738683\pi\) | |||||||
\(284\) | −12.4928 | −0.741314 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −17.5108 | −1.03543 | ||||||||
\(287\) | 1.00000 | 0.0590281 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 19.7415 | 1.16127 | ||||||||
\(290\) | −14.9770 | −0.879478 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 33.5321 | 1.96232 | ||||||||
\(293\) | 7.30314 | 0.426654 | 0.213327 | − | 0.976981i | \(-0.431570\pi\) | ||||
0.213327 | + | 0.976981i | \(0.431570\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −43.7856 | −2.54930 | ||||||||
\(296\) | −0.127079 | −0.00738632 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 16.2903 | 0.943670 | ||||||||
\(299\) | 6.41016 | 0.370709 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.10393 | 0.236547 | ||||||||
\(302\) | 9.81595 | 0.564845 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.277433 | 0.0159118 | ||||||||
\(305\) | 11.2843 | 0.646139 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.2292 | 0.926247 | 0.463124 | − | 0.886294i | \(-0.346729\pi\) | ||||
0.463124 | + | 0.886294i | \(0.346729\pi\) | |||||||
\(308\) | 12.6762 | 0.722291 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −13.7184 | −0.779150 | ||||||||
\(311\) | −24.8162 | −1.40720 | −0.703599 | − | 0.710598i | \(-0.748425\pi\) | ||||
−0.703599 | + | 0.710598i | \(0.748425\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.00459 | 0.0567828 | 0.0283914 | − | 0.999597i | \(-0.490962\pi\) | ||||
0.0283914 | + | 0.999597i | \(0.490962\pi\) | |||||||
\(314\) | 20.7421 | 1.17055 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −30.9808 | −1.74281 | ||||||||
\(317\) | 29.9777 | 1.68372 | 0.841859 | − | 0.539697i | \(-0.181461\pi\) | ||||
0.841859 | + | 0.539697i | \(0.181461\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.4883 | 0.643221 | ||||||||
\(320\) | −34.3406 | −1.91970 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −9.00606 | −0.501888 | ||||||||
\(323\) | 0.450540 | 0.0250687 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 13.9470 | 0.773639 | ||||||||
\(326\) | 39.1930 | 2.17070 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.255573 | −0.0141116 | ||||||||
\(329\) | 2.92536 | 0.161280 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −25.1471 | −1.38221 | −0.691106 | − | 0.722754i | \(-0.742876\pi\) | ||||
−0.691106 | + | 0.722754i | \(0.742876\pi\) | |||||||
\(332\) | 30.8118 | 1.69102 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.92359 | 0.269407 | ||||||||
\(335\) | −4.30506 | −0.235210 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.81608 | 0.0989285 | 0.0494642 | − | 0.998776i | \(-0.484249\pi\) | ||||
0.0494642 | + | 0.998776i | \(0.484249\pi\) | |||||||
\(338\) | 22.1602 | 1.20536 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −49.3150 | −2.67448 | ||||||||
\(341\) | 10.5229 | 0.569845 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | −1.04885 | −0.0565504 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −17.8622 | −0.960280 | ||||||||
\(347\) | −23.5712 | −1.26537 | −0.632685 | − | 0.774409i | \(-0.718047\pi\) | ||||
−0.632685 | + | 0.774409i | \(0.718047\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 22.3613 | 1.19697 | 0.598486 | − | 0.801133i | \(-0.295769\pi\) | ||||
0.598486 | + | 0.801133i | \(0.295769\pi\) | |||||||
\(350\) | −19.5950 | −1.04740 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 48.2562 | 2.57207 | ||||||||
\(353\) | −12.0297 | −0.640277 | −0.320139 | − | 0.947371i | \(-0.603729\pi\) | ||||
−0.320139 | + | 0.947371i | \(0.603729\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −22.4910 | −1.19370 | ||||||||
\(356\) | −1.42451 | −0.0754990 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 29.4182 | 1.55480 | ||||||||
\(359\) | 29.0810 | 1.53483 | 0.767417 | − | 0.641148i | \(-0.221541\pi\) | ||||
0.767417 | + | 0.641148i | \(0.221541\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.9945 | −0.999709 | ||||||||
\(362\) | 6.24677 | 0.328323 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.07338 | 0.161089 | ||||||||
\(365\) | 60.3681 | 3.15981 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −34.9839 | −1.82615 | −0.913073 | − | 0.407796i | \(-0.866298\pi\) | ||||
−0.913073 | + | 0.407796i | \(0.866298\pi\) | |||||||
\(368\) | −16.5494 | −0.862697 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3.86535 | −0.200950 | ||||||||
\(371\) | −3.08431 | −0.160130 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 25.0688 | 1.29801 | 0.649006 | − | 0.760783i | \(-0.275185\pi\) | ||||
0.649006 | + | 0.760783i | \(0.275185\pi\) | |||||||
\(374\) | 73.4166 | 3.79628 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.747642 | −0.0385567 | ||||||||
\(377\) | 2.78538 | 0.143455 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.2692 | 0.835695 | 0.417848 | − | 0.908517i | \(-0.362785\pi\) | ||||
0.417848 | + | 0.908517i | \(0.362785\pi\) | |||||||
\(380\) | −0.604722 | −0.0310216 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.97235 | 0.510230 | ||||||||
\(383\) | 7.88034 | 0.402667 | 0.201333 | − | 0.979523i | \(-0.435473\pi\) | ||||
0.201333 | + | 0.979523i | \(0.435473\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 22.8210 | 1.16306 | ||||||||
\(386\) | −22.9629 | −1.16878 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −22.4459 | −1.13952 | ||||||||
\(389\) | −28.0477 | −1.42208 | −0.711038 | − | 0.703154i | \(-0.751775\pi\) | ||||
−0.711038 | + | 0.703154i | \(0.751775\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −26.8756 | −1.35916 | ||||||||
\(392\) | −0.255573 | −0.0129084 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −36.2762 | −1.82757 | ||||||||
\(395\) | −55.7750 | −2.80634 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.8210 | 0.643466 | 0.321733 | − | 0.946830i | \(-0.395735\pi\) | ||||
0.321733 | + | 0.946830i | \(0.395735\pi\) | |||||||
\(398\) | −27.6915 | −1.38805 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −36.0075 | −1.80037 | ||||||||
\(401\) | 1.81684 | 0.0907285 | 0.0453643 | − | 0.998971i | \(-0.485555\pi\) | ||||
0.0453643 | + | 0.998971i | \(0.485555\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.55131 | 0.127090 | ||||||||
\(404\) | 6.82277 | 0.339446 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.91337 | −0.194217 | ||||||||
\(407\) | 2.96497 | 0.146968 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −35.2528 | −1.74314 | −0.871569 | − | 0.490273i | \(-0.836897\pi\) | ||||
−0.871569 | + | 0.490273i | \(0.836897\pi\) | |||||||
\(410\) | −7.77372 | −0.383917 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 12.3087 | 0.606405 | ||||||||
\(413\) | −11.4408 | −0.562967 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 55.4707 | 2.72295 | ||||||||
\(416\) | 11.6999 | 0.573636 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.900266 | 0.0440334 | ||||||||
\(419\) | −16.1804 | −0.790464 | −0.395232 | − | 0.918581i | \(-0.629336\pi\) | ||||
−0.395232 | + | 0.918581i | \(0.629336\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.95139 | −0.436264 | −0.218132 | − | 0.975919i | \(-0.569996\pi\) | ||||
−0.218132 | + | 0.975919i | \(0.569996\pi\) | |||||||
\(422\) | −45.5927 | −2.21942 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.788266 | 0.0382816 | ||||||||
\(425\) | −58.4748 | −2.83644 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.94851 | 0.142688 | ||||||||
\(428\) | 12.5455 | 0.606408 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −31.9028 | −1.53849 | ||||||||
\(431\) | −12.5790 | −0.605907 | −0.302954 | − | 0.953005i | \(-0.597973\pi\) | ||||
−0.302954 | + | 0.953005i | \(0.597973\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 16.4245 | 0.789309 | 0.394654 | − | 0.918830i | \(-0.370864\pi\) | ||||
0.394654 | + | 0.918830i | \(0.370864\pi\) | |||||||
\(434\) | −3.58450 | −0.172061 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −28.5765 | −1.36857 | ||||||||
\(437\) | −0.329560 | −0.0157650 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −25.2770 | −1.20640 | −0.603202 | − | 0.797589i | \(-0.706109\pi\) | ||||
−0.603202 | + | 0.797589i | \(0.706109\pi\) | |||||||
\(440\) | −5.83242 | −0.278050 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 17.8002 | 0.846667 | ||||||||
\(443\) | 0.450540 | 0.0214058 | 0.0107029 | − | 0.999943i | \(-0.496593\pi\) | ||||
0.0107029 | + | 0.999943i | \(0.496593\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.56456 | −0.121572 | ||||||||
\(446\) | −8.30082 | −0.393055 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.97293 | −0.423931 | ||||||||
\(449\) | 18.2531 | 0.861418 | 0.430709 | − | 0.902491i | \(-0.358264\pi\) | ||||
0.430709 | + | 0.902491i | \(0.358264\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.96294 | 0.280784 | ||||||||
\(452\) | −12.7822 | −0.601224 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −39.6716 | −1.86188 | ||||||||
\(455\) | 5.53303 | 0.259393 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 28.5308 | 1.33461 | 0.667307 | − | 0.744783i | \(-0.267447\pi\) | ||||
0.667307 | + | 0.744783i | \(0.267447\pi\) | |||||||
\(458\) | −46.8105 | −2.18731 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 36.0728 | 1.68190 | ||||||||
\(461\) | 7.30314 | 0.340141 | 0.170071 | − | 0.985432i | \(-0.445600\pi\) | ||||
0.170071 | + | 0.985432i | \(0.445600\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −16.5369 | −0.768535 | −0.384268 | − | 0.923222i | \(-0.625546\pi\) | ||||
−0.384268 | + | 0.923222i | \(0.625546\pi\) | |||||||
\(464\) | −7.19114 | −0.333840 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 15.6301 | 0.724048 | ||||||||
\(467\) | 16.6909 | 0.772363 | 0.386181 | − | 0.922423i | \(-0.373794\pi\) | ||||
0.386181 | + | 0.922423i | \(0.373794\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.12488 | −0.0519420 | ||||||||
\(470\) | −22.7409 | −1.04896 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.92396 | 0.134586 | ||||||||
\(473\) | 24.4715 | 1.12520 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.717043 | −0.0329002 | ||||||||
\(476\) | −12.8856 | −0.590612 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −24.8376 | −1.13604 | ||||||||
\(479\) | −7.64133 | −0.349141 | −0.174571 | − | 0.984645i | \(-0.555854\pi\) | ||||
−0.174571 | + | 0.984645i | \(0.555854\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.718869 | 0.0327776 | ||||||||
\(482\) | 7.47911 | 0.340664 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 52.2031 | 2.37287 | ||||||||
\(485\) | −40.4095 | −1.83490 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.6260 | −0.526825 | −0.263412 | − | 0.964683i | \(-0.584848\pi\) | ||||
−0.263412 | + | 0.964683i | \(0.584848\pi\) | |||||||
\(488\) | −0.753557 | −0.0341119 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −7.77372 | −0.351181 | ||||||||
\(491\) | −25.9788 | −1.17241 | −0.586204 | − | 0.810164i | \(-0.699378\pi\) | ||||
−0.586204 | + | 0.810164i | \(0.699378\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −11.6781 | −0.525957 | ||||||||
\(494\) | 0.218273 | 0.00982056 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.58682 | −0.295757 | ||||||||
\(497\) | −5.87671 | −0.263606 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −23.1920 | −1.03821 | −0.519107 | − | 0.854709i | \(-0.673736\pi\) | ||||
−0.519107 | + | 0.854709i | \(0.673736\pi\) | |||||||
\(500\) | 37.8067 | 1.69077 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −55.1513 | −2.46152 | ||||||||
\(503\) | −10.6434 | −0.474564 | −0.237282 | − | 0.971441i | \(-0.576257\pi\) | ||||
−0.237282 | + | 0.971441i | \(0.576257\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 12.2831 | 0.546590 | ||||||||
\(506\) | −53.7026 | −2.38737 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −13.3350 | −0.591643 | ||||||||
\(509\) | −1.33530 | −0.0591860 | −0.0295930 | − | 0.999562i | \(-0.509421\pi\) | ||||
−0.0295930 | + | 0.999562i | \(0.509421\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 15.7737 | 0.697788 | ||||||||
\(512\) | −32.1140 | −1.41925 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −9.06619 | −0.399893 | ||||||||
\(515\) | 22.1594 | 0.976460 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 17.4438 | 0.767175 | ||||||||
\(518\) | −1.00999 | −0.0443762 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.41409 | −0.0620120 | ||||||||
\(521\) | −26.5594 | −1.16359 | −0.581795 | − | 0.813335i | \(-0.697649\pi\) | ||||
−0.581795 | + | 0.813335i | \(0.697649\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.41507 | −0.411692 | −0.205846 | − | 0.978584i | \(-0.565995\pi\) | ||||
−0.205846 | + | 0.978584i | \(0.565995\pi\) | |||||||
\(524\) | −25.5911 | −1.11795 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 33.8389 | 1.47545 | ||||||||
\(527\) | −10.6968 | −0.465958 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.34111 | −0.145266 | ||||||||
\(530\) | 23.9766 | 1.04148 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.158009 | −0.00685056 | ||||||||
\(533\) | 1.44574 | 0.0626219 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 22.5857 | 0.976464 | ||||||||
\(536\) | 0.287488 | 0.0124176 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 6.97032 | 0.300512 | ||||||||
\(539\) | 5.96294 | 0.256842 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.71416 | −0.374651 | −0.187325 | − | 0.982298i | \(-0.559982\pi\) | ||||
−0.187325 | + | 0.982298i | \(0.559982\pi\) | |||||||
\(542\) | −56.4846 | −2.42622 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −49.0537 | −2.10316 | ||||||||
\(545\) | −51.4465 | −2.20373 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −16.6541 | −0.712079 | −0.356040 | − | 0.934471i | \(-0.615873\pi\) | ||||
−0.356040 | + | 0.934471i | \(0.615873\pi\) | |||||||
\(548\) | −13.7476 | −0.587269 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −116.844 | −4.98224 | ||||||||
\(551\) | −0.143202 | −0.00610062 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −14.5736 | −0.619731 | ||||||||
\(554\) | 27.6119 | 1.17312 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −18.4167 | −0.781040 | ||||||||
\(557\) | −8.98351 | −0.380643 | −0.190322 | − | 0.981722i | \(-0.560953\pi\) | ||||
−0.190322 | + | 0.981722i | \(0.560953\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.93321 | 0.250948 | ||||||||
\(560\) | −14.2849 | −0.603646 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.82400 | 0.203488 | ||||||||
\(563\) | 6.35931 | 0.268013 | 0.134007 | − | 0.990980i | \(-0.457216\pi\) | ||||
0.134007 | + | 0.990980i | \(0.457216\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −23.0119 | −0.968118 | ||||||||
\(566\) | 46.5759 | 1.95773 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.50193 | 0.0630194 | ||||||||
\(569\) | 5.92160 | 0.248246 | 0.124123 | − | 0.992267i | \(-0.460388\pi\) | ||||
0.124123 | + | 0.992267i | \(0.460388\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 45.8163 | 1.91735 | 0.958676 | − | 0.284502i | \(-0.0918281\pi\) | ||||
0.958676 | + | 0.284502i | \(0.0918281\pi\) | |||||||
\(572\) | 18.3264 | 0.766266 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.03121 | −0.0847812 | ||||||||
\(575\) | 42.7730 | 1.78376 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 37.9400 | 1.57946 | 0.789731 | − | 0.613453i | \(-0.210220\pi\) | ||||
0.789731 | + | 0.613453i | \(0.210220\pi\) | |||||||
\(578\) | −40.0992 | −1.66791 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 15.6746 | 0.650852 | ||||||||
\(581\) | 14.4941 | 0.601315 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −18.3916 | −0.761702 | ||||||||
\(584\) | −4.03133 | −0.166818 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.8342 | −0.612796 | ||||||||
\(587\) | −5.81661 | −0.240077 | −0.120039 | − | 0.992769i | \(-0.538302\pi\) | ||||
−0.120039 | + | 0.992769i | \(0.538302\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.131168 | −0.00540469 | ||||||||
\(590\) | 88.9379 | 3.66151 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.85593 | −0.0762784 | ||||||||
\(593\) | 16.7778 | 0.688980 | 0.344490 | − | 0.938790i | \(-0.388052\pi\) | ||||
0.344490 | + | 0.938790i | \(0.388052\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −23.1981 | −0.951029 | ||||||||
\(596\) | −17.0490 | −0.698356 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −13.0204 | −0.532444 | ||||||||
\(599\) | 13.8344 | 0.565260 | 0.282630 | − | 0.959229i | \(-0.408793\pi\) | ||||
0.282630 | + | 0.959229i | \(0.408793\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 22.2486 | 0.907539 | 0.453769 | − | 0.891119i | \(-0.350079\pi\) | ||||
0.453769 | + | 0.891119i | \(0.350079\pi\) | |||||||
\(602\) | −8.33596 | −0.339748 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.2732 | −0.418009 | ||||||||
\(605\) | 93.9817 | 3.82090 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.39107 | −0.0970505 | −0.0485252 | − | 0.998822i | \(-0.515452\pi\) | ||||
−0.0485252 | + | 0.998822i | \(0.515452\pi\) | |||||||
\(608\) | −0.601517 | −0.0243947 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −22.9209 | −0.928038 | ||||||||
\(611\) | 4.22931 | 0.171099 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 38.0777 | 1.53795 | 0.768973 | − | 0.639282i | \(-0.220768\pi\) | ||||
0.768973 | + | 0.639282i | \(0.220768\pi\) | |||||||
\(614\) | −32.9649 | −1.33035 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.52396 | −0.0614023 | ||||||||
\(617\) | 22.6988 | 0.913819 | 0.456910 | − | 0.889513i | \(-0.348956\pi\) | ||||
0.456910 | + | 0.889513i | \(0.348956\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −33.3077 | −1.33875 | −0.669376 | − | 0.742924i | \(-0.733438\pi\) | ||||
−0.669376 | + | 0.742924i | \(0.733438\pi\) | |||||||
\(620\) | 14.3573 | 0.576605 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 50.4070 | 2.02113 | ||||||||
\(623\) | −0.670099 | −0.0268469 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 19.8289 | 0.793158 | ||||||||
\(626\) | −2.04053 | −0.0815562 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −21.7083 | −0.866254 | ||||||||
\(629\) | −3.01397 | −0.120175 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.52118 | −0.219795 | −0.109897 | − | 0.993943i | \(-0.535052\pi\) | ||||
−0.109897 | + | 0.993943i | \(0.535052\pi\) | |||||||
\(632\) | 3.72461 | 0.148157 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −60.8912 | −2.41830 | ||||||||
\(635\) | −24.0070 | −0.952689 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.44574 | 0.0572822 | ||||||||
\(638\) | −23.3352 | −0.923848 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 7.80940 | 0.308694 | ||||||||
\(641\) | −12.7799 | −0.504775 | −0.252387 | − | 0.967626i | \(-0.581216\pi\) | ||||
−0.252387 | + | 0.967626i | \(0.581216\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.0687 | 0.751998 | 0.375999 | − | 0.926620i | \(-0.377300\pi\) | ||||
0.375999 | + | 0.926620i | \(0.377300\pi\) | |||||||
\(644\) | 9.42555 | 0.371419 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.915143 | −0.0360058 | ||||||||
\(647\) | −20.9933 | −0.825331 | −0.412665 | − | 0.910883i | \(-0.635402\pi\) | ||||
−0.412665 | + | 0.910883i | \(0.635402\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −68.2210 | −2.67791 | ||||||||
\(650\) | −28.3293 | −1.11116 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −41.0185 | −1.60641 | ||||||||
\(653\) | 36.4523 | 1.42649 | 0.713244 | − | 0.700916i | \(-0.247225\pi\) | ||||
0.713244 | + | 0.700916i | \(0.247225\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −46.0719 | −1.80018 | ||||||||
\(656\) | −3.73252 | −0.145731 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.94203 | −0.231644 | ||||||||
\(659\) | 20.9058 | 0.814373 | 0.407187 | − | 0.913345i | \(-0.366510\pi\) | ||||
0.407187 | + | 0.913345i | \(0.366510\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 51.0624 | 1.98610 | 0.993048 | − | 0.117709i | \(-0.0375550\pi\) | ||||
0.993048 | + | 0.117709i | \(0.0375550\pi\) | |||||||
\(662\) | 51.0792 | 1.98525 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.70428 | −0.143754 | ||||||||
\(665\) | −0.284465 | −0.0110311 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8.54230 | 0.330759 | ||||||||
\(668\) | −5.15293 | −0.199373 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 8.74449 | 0.337829 | ||||||||
\(671\) | 17.5818 | 0.678737 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 42.4278 | 1.63547 | 0.817736 | − | 0.575594i | \(-0.195229\pi\) | ||||
0.817736 | + | 0.575594i | \(0.195229\pi\) | |||||||
\(674\) | −3.68885 | −0.142089 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −23.1924 | −0.892015 | ||||||||
\(677\) | −15.1486 | −0.582209 | −0.291105 | − | 0.956691i | \(-0.594023\pi\) | ||||
−0.291105 | + | 0.956691i | \(0.594023\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.5587 | −0.405205 | ||||||||
\(680\) | 5.92880 | 0.227359 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −21.3742 | −0.818459 | ||||||||
\(683\) | −8.69113 | −0.332557 | −0.166278 | − | 0.986079i | \(-0.553175\pi\) | ||||
−0.166278 | + | 0.986079i | \(0.553175\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −24.7499 | −0.945647 | ||||||||
\(686\) | −2.03121 | −0.0775520 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −15.3180 | −0.583994 | ||||||||
\(689\) | −4.45911 | −0.169879 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.8701 | 0.946102 | 0.473051 | − | 0.881035i | \(-0.343153\pi\) | ||||
0.473051 | + | 0.881035i | \(0.343153\pi\) | |||||||
\(692\) | 18.6942 | 0.710648 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 47.8782 | 1.81743 | ||||||||
\(695\) | −33.1556 | −1.25767 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.06148 | −0.229595 | ||||||||
\(698\) | −45.4205 | −1.71919 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 20.5077 | 0.775119 | ||||||||
\(701\) | −38.5821 | −1.45723 | −0.728613 | − | 0.684926i | \(-0.759835\pi\) | ||||
−0.728613 | + | 0.684926i | \(0.759835\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.0369585 | −0.00139392 | ||||||||
\(704\) | −53.5050 | −2.01655 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 24.4349 | 0.919620 | ||||||||
\(707\) | 3.20947 | 0.120705 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 13.3306 | 0.500642 | 0.250321 | − | 0.968163i | \(-0.419464\pi\) | ||||
0.250321 | + | 0.968163i | \(0.419464\pi\) | |||||||
\(710\) | 45.6839 | 1.71449 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.171259 | 0.00641820 | ||||||||
\(713\) | 7.82443 | 0.293027 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 32.9932 | 1.23387 | ||||||||
\(716\) | −30.7885 | −1.15062 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −59.0696 | −2.20446 | ||||||||
\(719\) | −19.0012 | −0.708625 | −0.354312 | − | 0.935127i | \(-0.615285\pi\) | ||||
−0.354312 | + | 0.935127i | \(0.615285\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.79008 | 0.215634 | ||||||||
\(722\) | 38.5818 | 1.43587 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6.53774 | −0.242973 | ||||||||
\(725\) | 18.5860 | 0.690266 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 19.0336 | 0.705916 | 0.352958 | − | 0.935639i | \(-0.385176\pi\) | ||||
0.352958 | + | 0.935639i | \(0.385176\pi\) | |||||||
\(728\) | −0.369491 | −0.0136943 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −122.620 | −4.53839 | ||||||||
\(731\) | −24.8759 | −0.920069 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 50.7508 | 1.87452 | 0.937261 | − | 0.348628i | \(-0.113352\pi\) | ||||
0.937261 | + | 0.348628i | \(0.113352\pi\) | |||||||
\(734\) | 71.0598 | 2.62286 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 35.8817 | 1.32262 | ||||||||
\(737\) | −6.70758 | −0.247077 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.70443 | −0.246626 | −0.123313 | − | 0.992368i | \(-0.539352\pi\) | ||||
−0.123313 | + | 0.992368i | \(0.539352\pi\) | |||||||
\(740\) | 4.04539 | 0.148712 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.26490 | 0.229992 | ||||||||
\(743\) | −30.7597 | −1.12846 | −0.564232 | − | 0.825617i | \(-0.690827\pi\) | ||||
−0.564232 | + | 0.825617i | \(0.690827\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −30.6935 | −1.12452 | ||||||||
\(746\) | −50.9200 | −1.86432 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −76.8363 | −2.80941 | ||||||||
\(749\) | 5.90146 | 0.215635 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −38.8738 | −1.41852 | −0.709262 | − | 0.704945i | \(-0.750972\pi\) | ||||
−0.709262 | + | 0.704945i | \(0.750972\pi\) | |||||||
\(752\) | −10.9190 | −0.398174 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −5.65770 | −0.206041 | ||||||||
\(755\) | −18.4948 | −0.673096 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.89914 | 0.141717 | 0.0708583 | − | 0.997486i | \(-0.477426\pi\) | ||||
0.0708583 | + | 0.997486i | \(0.477426\pi\) | |||||||
\(758\) | −33.0463 | −1.20030 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.0727014 | 0.00263716 | ||||||||
\(761\) | −13.9575 | −0.505959 | −0.252979 | − | 0.967472i | \(-0.581410\pi\) | ||||
−0.252979 | + | 0.967472i | \(0.581410\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −13.4426 | −0.486653 | ||||||||
\(764\) | −10.4369 | −0.377592 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.0067 | −0.578344 | ||||||||
\(767\) | −16.5405 | −0.597241 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.40607 | 0.339192 | 0.169596 | − | 0.985514i | \(-0.445754\pi\) | ||||
0.169596 | + | 0.985514i | \(0.445754\pi\) | |||||||
\(770\) | −46.3542 | −1.67049 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 24.0325 | 0.864948 | ||||||||
\(773\) | −6.38151 | −0.229527 | −0.114764 | − | 0.993393i | \(-0.536611\pi\) | ||||
−0.114764 | + | 0.993393i | \(0.536611\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 17.0241 | 0.611523 | ||||||||
\(776\) | 2.69851 | 0.0968709 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 56.9709 | 2.04250 | ||||||||
\(779\) | −0.0743284 | −0.00266309 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −35.0425 | −1.25392 | ||||||||
\(782\) | 54.5900 | 1.95214 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.73252 | −0.133304 | ||||||||
\(785\) | −39.0815 | −1.39488 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −31.4514 | −1.12112 | −0.560561 | − | 0.828113i | \(-0.689414\pi\) | ||||
−0.560561 | + | 0.828113i | \(0.689414\pi\) | |||||||
\(788\) | 37.9659 | 1.35248 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 113.291 | 4.03071 | ||||||||
\(791\) | −6.01283 | −0.213792 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.26277 | 0.151375 | ||||||||
\(794\) | −26.0421 | −0.924200 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 28.9814 | 1.02722 | ||||||||
\(797\) | 12.7701 | 0.452339 | 0.226170 | − | 0.974088i | \(-0.427380\pi\) | ||||
0.226170 | + | 0.974088i | \(0.427380\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −17.7320 | −0.627313 | ||||||||
\(800\) | 78.0698 | 2.76018 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −3.69038 | −0.130312 | ||||||||
\(803\) | 94.0578 | 3.31923 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 16.9689 | 0.598074 | ||||||||
\(806\) | −5.18225 | −0.182537 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.820254 | −0.0288564 | ||||||||
\(809\) | −37.8116 | −1.32939 | −0.664693 | − | 0.747117i | \(-0.731437\pi\) | ||||
−0.664693 | + | 0.747117i | \(0.731437\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −29.0566 | −1.02031 | −0.510157 | − | 0.860081i | \(-0.670413\pi\) | ||||
−0.510157 | + | 0.860081i | \(0.670413\pi\) | |||||||
\(812\) | 4.09564 | 0.143729 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −6.02248 | −0.211088 | ||||||||
\(815\) | −73.8460 | −2.58671 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.305039 | −0.0106720 | ||||||||
\(818\) | 71.6059 | 2.50364 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 8.13581 | 0.284115 | ||||||||
\(821\) | 22.1598 | 0.773381 | 0.386691 | − | 0.922209i | \(-0.373618\pi\) | ||||
0.386691 | + | 0.922209i | \(0.373618\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −44.5895 | −1.55429 | −0.777147 | − | 0.629319i | \(-0.783334\pi\) | ||||
−0.777147 | + | 0.629319i | \(0.783334\pi\) | |||||||
\(824\) | −1.47978 | −0.0515507 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 23.2388 | 0.808580 | ||||||||
\(827\) | −17.7093 | −0.615814 | −0.307907 | − | 0.951416i | \(-0.599629\pi\) | ||||
−0.307907 | + | 0.951416i | \(0.599629\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 29.8270 | 1.03594 | 0.517968 | − | 0.855400i | \(-0.326689\pi\) | ||||
0.517968 | + | 0.855400i | \(0.326689\pi\) | |||||||
\(830\) | −112.673 | −3.91093 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −12.9725 | −0.449741 | ||||||||
\(833\) | −6.06148 | −0.210018 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −9.27685 | −0.321039 | ||||||||
\(836\) | −0.942199 | −0.0325866 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 32.8658 | 1.13533 | ||||||||
\(839\) | −31.3123 | −1.08102 | −0.540511 | − | 0.841337i | \(-0.681769\pi\) | ||||
−0.540511 | + | 0.841337i | \(0.681769\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.2881 | −0.872005 | ||||||||
\(842\) | 18.1822 | 0.626599 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 47.7163 | 1.64246 | ||||||||
\(845\) | −41.7534 | −1.43636 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 24.5567 | 0.843777 | ||||||||
\(848\) | 11.5123 | 0.395333 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 118.775 | 4.07394 | ||||||||
\(851\) | 2.20465 | 0.0755744 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 33.0949 | 1.13315 | 0.566574 | − | 0.824011i | \(-0.308269\pi\) | ||||
0.566574 | + | 0.824011i | \(0.308269\pi\) | |||||||
\(854\) | −5.98904 | −0.204941 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.50825 | −0.0515510 | ||||||||
\(857\) | 20.0025 | 0.683272 | 0.341636 | − | 0.939832i | \(-0.389019\pi\) | ||||
0.341636 | + | 0.939832i | \(0.389019\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −37.3721 | −1.27512 | −0.637559 | − | 0.770401i | \(-0.720056\pi\) | ||||
−0.637559 | + | 0.770401i | \(0.720056\pi\) | |||||||
\(860\) | 33.3888 | 1.13855 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 25.5505 | 0.870255 | ||||||||
\(863\) | −46.4668 | −1.58175 | −0.790875 | − | 0.611978i | \(-0.790374\pi\) | ||||
−0.790875 | + | 0.611978i | \(0.790374\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 33.6554 | 1.14432 | ||||||||
\(866\) | −33.3615 | −1.13367 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.75146 | 0.127333 | ||||||||
\(869\) | −86.9013 | −2.94793 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.62628 | −0.0551044 | ||||||||
\(872\) | 3.43555 | 0.116342 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.669406 | 0.0226430 | ||||||||
\(875\) | 17.7845 | 0.601226 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.5546 | −0.356404 | −0.178202 | − | 0.983994i | \(-0.557028\pi\) | ||||
−0.178202 | + | 0.983994i | \(0.557028\pi\) | |||||||
\(878\) | 51.3429 | 1.73274 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −85.1798 | −2.87141 | ||||||||
\(881\) | 25.0214 | 0.842993 | 0.421497 | − | 0.906830i | \(-0.361505\pi\) | ||||
0.421497 | + | 0.906830i | \(0.361505\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 14.4626 | 0.486704 | 0.243352 | − | 0.969938i | \(-0.421753\pi\) | ||||
0.243352 | + | 0.969938i | \(0.421753\pi\) | |||||||
\(884\) | −18.6293 | −0.626570 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.915143 | −0.0307448 | ||||||||
\(887\) | 5.65795 | 0.189975 | 0.0949877 | − | 0.995478i | \(-0.469719\pi\) | ||||
0.0949877 | + | 0.995478i | \(0.469719\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.27284 | −0.210384 | ||||||||
\(890\) | 5.20916 | 0.174612 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.68746 | 0.290878 | ||||||||
\(893\) | −0.217437 | −0.00727626 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −55.4288 | −1.85278 | ||||||||
\(896\) | 2.04053 | 0.0681695 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −37.0759 | −1.23724 | ||||||||
\(899\) | 3.39992 | 0.113394 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 18.6955 | 0.622838 | ||||||||
\(902\) | −12.1120 | −0.403285 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.53671 | 0.0511104 | ||||||||
\(905\) | −11.7699 | −0.391246 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −45.9050 | −1.52425 | −0.762126 | − | 0.647429i | \(-0.775844\pi\) | ||||
−0.762126 | + | 0.647429i | \(0.775844\pi\) | |||||||
\(908\) | 41.5194 | 1.37787 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −11.2388 | −0.372562 | ||||||||
\(911\) | −42.5495 | −1.40973 | −0.704864 | − | 0.709342i | \(-0.748992\pi\) | ||||
−0.704864 | + | 0.709342i | \(0.748992\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 86.4272 | 2.86032 | ||||||||
\(914\) | −57.9521 | −1.91688 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 48.9909 | 1.61870 | ||||||||
\(917\) | −12.0382 | −0.397537 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −25.1999 | −0.831269 | −0.415634 | − | 0.909532i | \(-0.636440\pi\) | ||||
−0.415634 | + | 0.909532i | \(0.636440\pi\) | |||||||
\(920\) | −4.33678 | −0.142979 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −14.8342 | −0.488539 | ||||||||
\(923\) | −8.49618 | −0.279655 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.79678 | 0.157717 | ||||||||
\(926\) | 33.5900 | 1.10384 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 15.5915 | 0.511816 | ||||||||
\(929\) | −37.0410 | −1.21528 | −0.607639 | − | 0.794214i | \(-0.707883\pi\) | ||||
−0.607639 | + | 0.794214i | \(0.707883\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.0743284 | −0.00243602 | ||||||||
\(932\) | −16.3581 | −0.535827 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −33.9027 | −1.10933 | ||||||||
\(935\) | −138.329 | −4.52384 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 24.4307 | 0.798115 | 0.399058 | − | 0.916926i | \(-0.369337\pi\) | ||||
0.399058 | + | 0.916926i | \(0.369337\pi\) | |||||||
\(938\) | 2.28487 | 0.0746035 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 23.8002 | 0.776276 | ||||||||
\(941\) | 42.4153 | 1.38270 | 0.691350 | − | 0.722520i | \(-0.257016\pi\) | ||||
0.691350 | + | 0.722520i | \(0.257016\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.43383 | 0.144386 | ||||||||
\(944\) | 42.7032 | 1.38987 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −49.7068 | −1.61611 | ||||||||
\(947\) | 10.0783 | 0.327501 | 0.163750 | − | 0.986502i | \(-0.447641\pi\) | ||||
0.163750 | + | 0.986502i | \(0.447641\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 22.8047 | 0.740271 | ||||||||
\(950\) | 1.45647 | 0.0472540 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.54915 | 0.0502082 | ||||||||
\(953\) | 50.1799 | 1.62549 | 0.812743 | − | 0.582623i | \(-0.197974\pi\) | ||||
0.812743 | + | 0.582623i | \(0.197974\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18.7895 | −0.608015 | ||||||||
\(956\) | 25.9944 | 0.840720 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 15.5212 | 0.501466 | ||||||||
\(959\) | −6.46697 | −0.208829 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.8858 | −0.899542 | ||||||||
\(962\) | −1.46017 | −0.0470779 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.82748 | −0.252106 | ||||||||
\(965\) | 43.2659 | 1.39278 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 33.4107 | 1.07441 | 0.537207 | − | 0.843450i | \(-0.319479\pi\) | ||||
0.537207 | + | 0.843450i | \(0.319479\pi\) | |||||||
\(968\) | −6.27601 | −0.201719 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 82.0803 | 2.63544 | ||||||||
\(971\) | 57.1446 | 1.83386 | 0.916929 | − | 0.399051i | \(-0.130660\pi\) | ||||
0.916929 | + | 0.399051i | \(0.130660\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8.66331 | −0.277733 | ||||||||
\(974\) | 23.6149 | 0.756670 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.0054 | −0.352273 | ||||||||
\(977\) | 5.17315 | 0.165504 | 0.0827519 | − | 0.996570i | \(-0.473629\pi\) | ||||
0.0827519 | + | 0.996570i | \(0.473629\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.99576 | −0.127705 | ||||||||
\(980\) | 8.13581 | 0.259889 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 52.7685 | 1.68391 | ||||||||
\(983\) | −53.4989 | −1.70635 | −0.853175 | − | 0.521624i | \(-0.825326\pi\) | ||||
−0.853175 | + | 0.521624i | \(0.825326\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 68.3503 | 2.17782 | ||||||||
\(986\) | 23.7208 | 0.755424 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.228440 | −0.00726764 | ||||||||
\(989\) | 18.1962 | 0.578604 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 16.6924 | 0.530252 | 0.265126 | − | 0.964214i | \(-0.414587\pi\) | ||||
0.265126 | + | 0.964214i | \(0.414587\pi\) | |||||||
\(992\) | 14.2813 | 0.453430 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 11.9368 | 0.378614 | ||||||||
\(995\) | 52.1754 | 1.65407 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.818514 | 0.0259226 | 0.0129613 | − | 0.999916i | \(-0.495874\pi\) | ||||
0.0129613 | + | 0.999916i | \(0.495874\pi\) | |||||||
\(998\) | 47.1078 | 1.49117 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 2583.2.a.r.1.1 | 5 | ||
3.2 | odd | 2 | 287.2.a.e.1.5 | ✓ | 5 | ||
12.11 | even | 2 | 4592.2.a.bb.1.1 | 5 | |||
15.14 | odd | 2 | 7175.2.a.n.1.1 | 5 | |||
21.20 | even | 2 | 2009.2.a.n.1.5 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.a.e.1.5 | ✓ | 5 | 3.2 | odd | 2 | ||
2009.2.a.n.1.5 | 5 | 21.20 | even | 2 | |||
2583.2.a.r.1.1 | 5 | 1.1 | even | 1 | trivial | ||
4592.2.a.bb.1.1 | 5 | 12.11 | even | 2 | |||
7175.2.a.n.1.1 | 5 | 15.14 | odd | 2 |