Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2960,2,Mod(1,2960)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2960, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2960.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2960 = 2^{4} \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2960.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: | \(23.6357189983\) |
Analytic rank: | \(1\) |
Dimension: | \(5\) |
Coefficient field: | 5.5.998068.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{5} - 2x^{4} - 6x^{3} + 10x^{2} + 3x - 2 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | no (minimal twist has level 1480) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.4 | ||
Root | \(2.75031\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2960.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.14266 | 0.659714 | 0.329857 | − | 0.944031i | \(-0.393000\pi\) | ||||
0.329857 | + | 0.944031i | \(0.393000\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.63076 | 1.37230 | 0.686150 | − | 0.727460i | \(-0.259299\pi\) | ||||
0.686150 | + | 0.727460i | \(0.259299\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.69433 | −0.564778 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.42153 | 0.428606 | 0.214303 | − | 0.976767i | \(-0.431252\pi\) | ||||
0.214303 | + | 0.976767i | \(0.431252\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.50061 | −1.52560 | −0.762798 | − | 0.646637i | \(-0.776175\pi\) | ||||
−0.762798 | + | 0.646637i | \(0.776175\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.14266 | −0.295033 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.01251 | −0.730640 | −0.365320 | − | 0.930882i | \(-0.619040\pi\) | ||||
−0.365320 | + | 0.930882i | \(0.619040\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.20924 | −0.506834 | −0.253417 | − | 0.967357i | \(-0.581554\pi\) | ||||
−0.253417 | + | 0.967357i | \(0.581554\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.14872 | 0.905324 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −6.84305 | −1.42688 | −0.713438 | − | 0.700719i | \(-0.752863\pi\) | ||||
−0.713438 | + | 0.700719i | \(0.752863\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.36402 | −1.03231 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.35495 | 1.18008 | 0.590042 | − | 0.807373i | \(-0.299111\pi\) | ||||
0.590042 | + | 0.807373i | \(0.299111\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.54039 | −1.35429 | −0.677147 | − | 0.735847i | \(-0.736784\pi\) | ||||
−0.677147 | + | 0.735847i | \(0.736784\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.62432 | 0.282757 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.63076 | −0.613711 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.00000 | −0.164399 | ||||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −6.28531 | −1.00646 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.54989 | −1.33527 | −0.667634 | − | 0.744489i | \(-0.732693\pi\) | ||||
−0.667634 | + | 0.744489i | \(0.732693\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.05751 | −0.618765 | −0.309382 | − | 0.950938i | \(-0.600122\pi\) | ||||
−0.309382 | + | 0.950938i | \(0.600122\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.69433 | 0.252576 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 10.4163 | 1.51937 | 0.759687 | − | 0.650289i | \(-0.225352\pi\) | ||||
0.759687 | + | 0.650289i | \(0.225352\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.18244 | 0.883206 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.44226 | −0.482013 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.13744 | −1.11776 | −0.558881 | − | 0.829248i | \(-0.688769\pi\) | ||||
−0.558881 | + | 0.829248i | \(0.688769\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.42153 | −0.191679 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.52440 | −0.334365 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.23303 | −0.160526 | −0.0802631 | − | 0.996774i | \(-0.525576\pi\) | ||||
−0.0802631 | + | 0.996774i | \(0.525576\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.91870 | 0.373701 | 0.186851 | − | 0.982388i | \(-0.440172\pi\) | ||||
0.186851 | + | 0.982388i | \(0.440172\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.15173 | −0.775045 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 5.50061 | 0.682267 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.81578 | −0.954849 | −0.477424 | − | 0.878673i | \(-0.658430\pi\) | ||||
−0.477424 | + | 0.878673i | \(0.658430\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −7.81926 | −0.941329 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.806278 | 0.0956876 | 0.0478438 | − | 0.998855i | \(-0.484765\pi\) | ||||
0.0478438 | + | 0.998855i | \(0.484765\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.80628 | 0.328450 | 0.164225 | − | 0.986423i | \(-0.447488\pi\) | ||||
0.164225 | + | 0.986423i | \(0.447488\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.14266 | 0.131943 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 5.16122 | 0.588176 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.754853 | −0.0849276 | −0.0424638 | − | 0.999098i | \(-0.513521\pi\) | ||||
−0.0424638 | + | 0.999098i | \(0.513521\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.04623 | −0.116248 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −7.41508 | −0.813911 | −0.406955 | − | 0.913448i | \(-0.633410\pi\) | ||||
−0.406955 | + | 0.913448i | \(0.633410\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.01251 | 0.326752 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 7.26153 | 0.778517 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 14.8681 | 1.57601 | 0.788006 | − | 0.615668i | \(-0.211114\pi\) | ||||
0.788006 | + | 0.615668i | \(0.211114\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −19.9714 | −2.09357 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −8.61609 | −0.893447 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.20924 | 0.226663 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.94249 | −0.603368 | −0.301684 | − | 0.953408i | \(-0.597549\pi\) | ||||
−0.301684 | + | 0.953408i | \(0.597549\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.40854 | −0.242067 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.694334 | −0.0690888 | −0.0345444 | − | 0.999403i | \(-0.510998\pi\) | ||||
−0.0345444 | + | 0.999403i | \(0.510998\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.9714 | 1.17958 | 0.589789 | − | 0.807557i | \(-0.299211\pi\) | ||||
0.589789 | + | 0.807557i | \(0.299211\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.14872 | −0.404873 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.31259 | 0.126893 | 0.0634465 | − | 0.997985i | \(-0.479791\pi\) | ||||
0.0634465 | + | 0.997985i | \(0.479791\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.05873 | 0.484539 | 0.242269 | − | 0.970209i | \(-0.422108\pi\) | ||||
0.242269 | + | 0.970209i | \(0.422108\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.14266 | −0.108456 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.4012 | 1.16660 | 0.583302 | − | 0.812255i | \(-0.301760\pi\) | ||||
0.583302 | + | 0.812255i | \(0.301760\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.84305 | 0.638118 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 9.31988 | 0.861623 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −10.9377 | −1.00266 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.97926 | −0.816297 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −9.76960 | −0.880895 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.59704 | 0.585393 | 0.292696 | − | 0.956205i | \(-0.405447\pi\) | ||||
0.292696 | + | 0.956205i | \(0.405447\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.63634 | −0.408207 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.43973 | −0.300531 | −0.150265 | − | 0.988646i | \(-0.548013\pi\) | ||||
−0.150265 | + | 0.988646i | \(0.548013\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.02122 | −0.695528 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 5.36402 | 0.461661 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.45561 | 0.551540 | 0.275770 | − | 0.961224i | \(-0.411067\pi\) | ||||
0.275770 | + | 0.961224i | \(0.411067\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.78554 | 0.236267 | 0.118133 | − | 0.992998i | \(-0.462309\pi\) | ||||
0.118133 | + | 0.992998i | \(0.462309\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.9023 | 1.00235 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −7.81926 | −0.653880 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.35495 | −0.527750 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 7.06441 | 0.582663 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −5.55552 | −0.455126 | −0.227563 | − | 0.973763i | \(-0.573076\pi\) | ||||
−0.227563 | + | 0.973763i | \(0.573076\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.41847 | 0.359570 | 0.179785 | − | 0.983706i | \(-0.442460\pi\) | ||||
0.179785 | + | 0.983706i | \(0.442460\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.10419 | 0.412650 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 7.54039 | 0.605659 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −16.9555 | −1.35319 | −0.676597 | − | 0.736353i | \(-0.736546\pi\) | ||||
−0.676597 | + | 0.736353i | \(0.736546\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −9.29830 | −0.737403 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −24.8455 | −1.95810 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.0709 | −1.33709 | −0.668546 | − | 0.743671i | \(-0.733083\pi\) | ||||
−0.668546 | + | 0.743671i | \(0.733083\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.62432 | −0.126453 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.418474 | −0.0323825 | −0.0161912 | − | 0.999869i | \(-0.505154\pi\) | ||||
−0.0161912 | + | 0.999869i | \(0.505154\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 17.2567 | 1.32744 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.74319 | 0.286249 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 14.9805 | 1.13895 | 0.569473 | − | 0.822010i | \(-0.307147\pi\) | ||||
0.569473 | + | 0.822010i | \(0.307147\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.63076 | 0.274460 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.40893 | −0.105901 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −18.0656 | −1.35029 | −0.675144 | − | 0.737686i | \(-0.735919\pi\) | ||||
−0.675144 | + | 0.737686i | \(0.735919\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −16.9918 | −1.26299 | −0.631494 | − | 0.775381i | \(-0.717558\pi\) | ||||
−0.631494 | + | 0.775381i | \(0.717558\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.33507 | 0.246536 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.00000 | 0.0735215 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.28236 | −0.313157 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −19.4755 | −1.41663 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −14.4621 | −1.04644 | −0.523219 | − | 0.852198i | \(-0.675269\pi\) | ||||
−0.523219 | + | 0.852198i | \(0.675269\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.9524 | −0.860354 | −0.430177 | − | 0.902745i | \(-0.641549\pi\) | ||||
−0.430177 | + | 0.902745i | \(0.641549\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 6.28531 | 0.450101 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.44313 | 0.174066 | 0.0870328 | − | 0.996205i | \(-0.472262\pi\) | ||||
0.0870328 | + | 0.996205i | \(0.472262\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −16.4720 | −1.16767 | −0.583834 | − | 0.811873i | \(-0.698448\pi\) | ||||
−0.583834 | + | 0.811873i | \(0.698448\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.93075 | −0.629927 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 23.0733 | 1.61943 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.54989 | 0.597150 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 11.5944 | 0.805868 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −3.14049 | −0.217232 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.4526 | −1.06380 | −0.531899 | − | 0.846808i | \(-0.678521\pi\) | ||||
−0.531899 | + | 0.846808i | \(0.678521\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.921299 | 0.0631264 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.05751 | 0.276720 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −27.3774 | −1.85850 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 3.20661 | 0.216683 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 16.5706 | 1.11466 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 17.3298 | 1.16049 | 0.580243 | − | 0.814443i | \(-0.302957\pi\) | ||||
0.580243 | + | 0.814443i | \(0.302957\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.69433 | −0.112956 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −17.8421 | −1.18422 | −0.592111 | − | 0.805857i | \(-0.701705\pi\) | ||||
−0.592111 | + | 0.805857i | \(0.701705\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.9455 | 0.723302 | 0.361651 | − | 0.932314i | \(-0.382213\pi\) | ||||
0.361651 | + | 0.932314i | \(0.382213\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.89751 | 0.388028 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 20.9787 | 1.37436 | 0.687179 | − | 0.726488i | \(-0.258849\pi\) | ||||
0.687179 | + | 0.726488i | \(0.258849\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.4163 | −0.679485 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.862539 | −0.0560279 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −13.2680 | −0.858234 | −0.429117 | − | 0.903249i | \(-0.641175\pi\) | ||||
−0.429117 | + | 0.903249i | \(0.641175\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 16.3960 | 1.05616 | 0.528080 | − | 0.849195i | \(-0.322912\pi\) | ||||
0.528080 | + | 0.849195i | \(0.322912\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 14.8966 | 0.955615 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −6.18244 | −0.394982 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.1522 | 0.773223 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −8.47290 | −0.536948 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 12.7989 | 0.807857 | 0.403929 | − | 0.914791i | \(-0.367644\pi\) | ||||
0.403929 | + | 0.914791i | \(0.367644\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −9.72758 | −0.611568 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 3.44226 | 0.215563 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −23.5992 | −1.47208 | −0.736038 | − | 0.676940i | \(-0.763306\pi\) | ||||
−0.736038 | + | 0.676940i | \(0.763306\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.63076 | −0.225605 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −10.7674 | −0.666486 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 11.1300 | 0.686307 | 0.343153 | − | 0.939279i | \(-0.388505\pi\) | ||||
0.343153 | + | 0.939279i | \(0.388505\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.13744 | 0.499879 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 16.9891 | 1.03972 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 25.4780 | 1.55342 | 0.776712 | − | 0.629856i | \(-0.216886\pi\) | ||||
0.776712 | + | 0.629856i | \(0.216886\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.0630 | 0.672030 | 0.336015 | − | 0.941857i | \(-0.390921\pi\) | ||||
0.336015 | + | 0.941857i | \(0.390921\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −22.8205 | −1.38116 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 1.42153 | 0.0857212 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.0631 | −0.664720 | −0.332360 | − | 0.943153i | \(-0.607845\pi\) | ||||
−0.332360 | + | 0.943153i | \(0.607845\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 12.7759 | 0.764876 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −23.3661 | −1.39390 | −0.696952 | − | 0.717117i | \(-0.745461\pi\) | ||||
−0.696952 | + | 0.717117i | \(0.745461\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −18.9295 | −1.12524 | −0.562621 | − | 0.826715i | \(-0.690207\pi\) | ||||
−0.562621 | + | 0.826715i | \(0.690207\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.52440 | 0.149533 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −31.0426 | −1.83239 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.92481 | −0.466165 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.79023 | −0.398050 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 17.1019 | 0.999103 | 0.499551 | − | 0.866284i | \(-0.333498\pi\) | ||||
0.499551 | + | 0.866284i | \(0.333498\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.23303 | 0.0717895 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −7.62509 | −0.442452 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 37.6410 | 2.17683 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −14.7319 | −0.849130 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −0.793386 | −0.0455788 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.91870 | −0.167124 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.6537 | −0.665110 | −0.332555 | − | 0.943084i | \(-0.607911\pi\) | ||||
−0.332555 | + | 0.943084i | \(0.607911\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 13.6792 | 0.778184 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 29.8993 | 1.69543 | 0.847716 | − | 0.530451i | \(-0.177977\pi\) | ||||
0.847716 | + | 0.530451i | \(0.177977\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −31.1655 | −1.76158 | −0.880789 | − | 0.473509i | \(-0.842987\pi\) | ||||
−0.880789 | + | 0.473509i | \(0.842987\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 6.15173 | 0.346611 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 4.64628 | 0.260961 | 0.130480 | − | 0.991451i | \(-0.458348\pi\) | ||||
0.130480 | + | 0.991451i | \(0.458348\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.03372 | 0.505791 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.49984 | 0.0837130 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 6.65534 | 0.370313 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.50061 | −0.305119 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.78040 | 0.319657 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 37.8191 | 2.08504 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.6576 | −0.640760 | −0.320380 | − | 0.947289i | \(-0.603811\pi\) | ||||
−0.320380 | + | 0.947289i | \(0.603811\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.69433 | 0.0928489 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 7.81578 | 0.427021 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.83052 | 0.372082 | 0.186041 | − | 0.982542i | \(-0.440434\pi\) | ||||
0.186041 | + | 0.982542i | \(0.440434\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 14.1703 | 0.769625 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −10.7189 | −0.580459 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.96837 | −0.160277 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 7.81926 | 0.420975 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.61256 | −0.0865665 | −0.0432833 | − | 0.999063i | \(-0.513782\pi\) | ||||
−0.0432833 | + | 0.999063i | \(0.513782\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 7.20928 | 0.385904 | 0.192952 | − | 0.981208i | \(-0.438194\pi\) | ||||
0.192952 | + | 0.981208i | \(0.438194\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 29.5054 | 1.57488 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 30.6980 | 1.63389 | 0.816946 | − | 0.576715i | \(-0.195666\pi\) | ||||
0.816946 | + | 0.576715i | \(0.195666\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.806278 | −0.0427928 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −12.4980 | −0.661466 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 17.9589 | 0.947834 | 0.473917 | − | 0.880570i | \(-0.342840\pi\) | ||||
0.473917 | + | 0.880570i | \(0.342840\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.1193 | −0.743120 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −10.2602 | −0.538522 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.80628 | −0.146887 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 35.9363 | 1.87586 | 0.937930 | − | 0.346825i | \(-0.112740\pi\) | ||||
0.937930 | + | 0.346825i | \(0.112740\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 14.4864 | 0.754131 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −29.5451 | −1.53391 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −19.7825 | −1.02430 | −0.512149 | − | 0.858896i | \(-0.671151\pi\) | ||||
−0.512149 | + | 0.858896i | \(0.671151\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.14266 | −0.0590066 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −34.9561 | −1.80033 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.7458 | −0.551975 | −0.275988 | − | 0.961161i | \(-0.589005\pi\) | ||||
−0.275988 | + | 0.961161i | \(0.589005\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.53816 | 0.386191 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −22.5473 | −1.15211 | −0.576056 | − | 0.817410i | \(-0.695409\pi\) | ||||
−0.576056 | + | 0.817410i | \(0.695409\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.16122 | −0.263040 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 6.87478 | 0.349465 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 32.8486 | 1.66549 | 0.832744 | − | 0.553658i | \(-0.186769\pi\) | ||||
0.832744 | + | 0.553658i | \(0.186769\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 20.6147 | 1.04253 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.93044 | −0.198264 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.754853 | 0.0379808 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.15912 | −0.459683 | −0.229842 | − | 0.973228i | \(-0.573821\pi\) | ||||
−0.229842 | + | 0.973228i | \(0.573821\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −9.16550 | −0.458849 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 13.7457 | 0.686428 | 0.343214 | − | 0.939257i | \(-0.388484\pi\) | ||||
0.343214 | + | 0.939257i | \(0.388484\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 41.4768 | 2.06611 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.04623 | 0.0519875 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.42153 | −0.0704624 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 26.8879 | 1.32952 | 0.664761 | − | 0.747056i | \(-0.268533\pi\) | ||||
0.664761 | + | 0.747056i | \(0.268533\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 7.37655 | 0.363858 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −4.47682 | −0.220290 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.41508 | 0.363992 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.18292 | 0.155868 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.93220 | −0.192100 | −0.0960502 | − | 0.995376i | \(-0.530621\pi\) | ||||
−0.0960502 | + | 0.995376i | \(0.530621\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.7293 | 0.571649 | 0.285824 | − | 0.958282i | \(-0.407733\pi\) | ||||
0.285824 | + | 0.958282i | \(0.407733\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −17.6487 | −0.858109 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −3.01251 | −0.146128 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.5971 | 0.512830 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −8.93474 | −0.431373 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −15.7910 | −0.760627 | −0.380313 | − | 0.924858i | \(-0.624184\pi\) | ||||
−0.380313 | + | 0.924858i | \(0.624184\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.2648 | 1.16609 | 0.583047 | − | 0.812439i | \(-0.301860\pi\) | ||||
0.583047 | + | 0.812439i | \(0.301860\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −7.26153 | −0.348164 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 15.1179 | 0.723188 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 35.0198 | 1.67140 | 0.835702 | − | 0.549184i | \(-0.185061\pi\) | ||||
0.835702 | + | 0.549184i | \(0.185061\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.4751 | −0.498815 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −39.3708 | −1.87056 | −0.935282 | − | 0.353904i | \(-0.884854\pi\) | ||||
−0.935282 | + | 0.353904i | \(0.884854\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −14.8681 | −0.704814 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.34806 | −0.300253 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −17.3911 | −0.820738 | −0.410369 | − | 0.911920i | \(-0.634600\pi\) | ||||
−0.410369 | + | 0.911920i | \(0.634600\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.1539 | −0.572305 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 5.04880 | 0.237213 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 19.9714 | 0.936275 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −40.5649 | −1.89754 | −0.948772 | − | 0.315960i | \(-0.897673\pi\) | ||||
−0.948772 | + | 0.315960i | \(0.897673\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 16.1591 | 0.754244 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 33.0855 | 1.54094 | 0.770472 | − | 0.637474i | \(-0.220021\pi\) | ||||
0.770472 | + | 0.637474i | \(0.220021\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −26.4617 | −1.22978 | −0.614890 | − | 0.788613i | \(-0.710800\pi\) | ||||
−0.614890 | + | 0.788613i | \(0.710800\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 8.61609 | 0.399561 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −18.2121 | −0.842756 | −0.421378 | − | 0.906885i | \(-0.638453\pi\) | ||||
−0.421378 | + | 0.906885i | \(0.638453\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −28.3772 | −1.31034 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −19.3743 | −0.892721 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −5.76786 | −0.265206 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.20924 | −0.101367 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 13.7875 | 0.631288 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 30.3881 | 1.38847 | 0.694235 | − | 0.719749i | \(-0.255743\pi\) | ||||
0.694235 | + | 0.719749i | \(0.255743\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.50061 | 0.250806 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −28.3899 | −1.29178 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 5.94249 | 0.269835 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −35.7014 | −1.61779 | −0.808893 | − | 0.587955i | \(-0.799933\pi\) | ||||
−0.808893 | + | 0.587955i | \(0.799933\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −19.5061 | −0.882098 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −12.0000 | −0.541552 | −0.270776 | − | 0.962642i | \(-0.587280\pi\) | ||||
−0.270776 | + | 0.962642i | \(0.587280\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −19.1443 | −0.862217 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.40854 | 0.108256 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.92740 | 0.131312 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.8175 | −0.887151 | −0.443576 | − | 0.896237i | \(-0.646290\pi\) | ||||
−0.443576 | + | 0.896237i | \(0.646290\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.478172 | −0.0213632 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 18.8136 | 0.838858 | 0.419429 | − | 0.907788i | \(-0.362230\pi\) | ||||
0.419429 | + | 0.907788i | \(0.362230\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.694334 | 0.0308975 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 19.7185 | 0.875731 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 21.1937 | 0.939395 | 0.469698 | − | 0.882827i | \(-0.344363\pi\) | ||||
0.469698 | + | 0.882827i | \(0.344363\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.1889 | 0.450732 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 11.8504 | 0.523207 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −11.9714 | −0.527524 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 14.8070 | 0.651213 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 17.1176 | 0.751378 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 24.2087 | 1.06060 | 0.530301 | − | 0.847810i | \(-0.322079\pi\) | ||||
0.530301 | + | 0.847810i | \(0.322079\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −36.9848 | −1.61723 | −0.808615 | − | 0.588338i | \(-0.799783\pi\) | ||||
−0.808615 | + | 0.588338i | \(0.799783\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.14872 | 0.181065 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 22.7155 | 0.989502 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 23.8274 | 1.03597 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.08916 | 0.0906617 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 47.0296 | 2.03708 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.31259 | −0.0567483 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −20.6428 | −0.890804 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 8.78850 | 0.378547 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 17.1110 | 0.735661 | 0.367831 | − | 0.929893i | \(-0.380101\pi\) | ||||
0.367831 | + | 0.929893i | \(0.380101\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −19.4158 | −0.833210 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −5.05873 | −0.216692 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 33.7522 | 1.44314 | 0.721569 | − | 0.692342i | \(-0.243421\pi\) | ||||
0.721569 | + | 0.692342i | \(0.243421\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −4.94525 | −0.211058 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −14.0396 | −0.598106 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.74069 | −0.116546 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.14266 | 0.0485031 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.77792 | 0.117704 | 0.0588520 | − | 0.998267i | \(-0.481256\pi\) | ||||
0.0588520 | + | 0.998267i | \(0.481256\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.3188 | 0.943984 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.89327 | −0.206594 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 5.17299 | 0.218015 | 0.109008 | − | 0.994041i | \(-0.465233\pi\) | ||||
0.109008 | + | 0.994041i | \(0.465233\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −12.4012 | −0.521721 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.79861 | −0.159527 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −45.7741 | −1.91895 | −0.959476 | − | 0.281791i | \(-0.909071\pi\) | ||||
−0.959476 | + | 0.281791i | \(0.909071\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.2360 | 0.512061 | 0.256030 | − | 0.966669i | \(-0.417585\pi\) | ||||
0.256030 | + | 0.966669i | \(0.417585\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −16.5252 | −0.690349 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.84305 | −0.285375 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 43.7417 | 1.82099 | 0.910494 | − | 0.413521i | \(-0.135701\pi\) | ||||
0.910494 | + | 0.413521i | \(0.135701\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −13.6575 | −0.567587 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −26.9224 | −1.11693 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −11.5676 | −0.479080 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.31988 | −0.385329 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 32.3324 | 1.33450 | 0.667250 | − | 0.744834i | \(-0.267471\pi\) | ||||
0.667250 | + | 0.744834i | \(0.267471\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 16.6585 | 0.686402 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 2.79166 | 0.114833 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 17.4912 | 0.718276 | 0.359138 | − | 0.933285i | \(-0.383071\pi\) | ||||
0.359138 | + | 0.933285i | \(0.383071\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.9377 | 0.448402 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −18.8218 | −0.770326 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.1914 | 0.661562 | 0.330781 | − | 0.943708i | \(-0.392688\pi\) | ||||
0.330781 | + | 0.943708i | \(0.392688\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.66627 | −0.0679685 | −0.0339843 | − | 0.999422i | \(-0.510820\pi\) | ||||
−0.0339843 | + | 0.999422i | \(0.510820\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 13.2425 | 0.539278 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 8.97926 | 0.365059 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 36.6648 | 1.48818 | 0.744088 | − | 0.668081i | \(-0.232884\pi\) | ||||
0.744088 | + | 0.668081i | \(0.232884\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 26.3649 | 1.06836 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −57.2961 | −2.31795 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.4611 | −0.705248 | −0.352624 | − | 0.935765i | \(-0.614710\pi\) | ||||
−0.352624 | + | 0.935765i | \(0.614710\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 9.76960 | 0.393948 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −15.4269 | −0.621065 | −0.310532 | − | 0.950563i | \(-0.600507\pi\) | ||||
−0.310532 | + | 0.950563i | \(0.600507\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.66491 | 0.267886 | 0.133943 | − | 0.990989i | \(-0.457236\pi\) | ||||
0.133943 | + | 0.990989i | \(0.457236\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 36.7062 | 1.47297 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 53.9824 | 2.16276 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.58850 | −0.143311 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.01251 | 0.120116 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −37.7713 | −1.50365 | −0.751827 | − | 0.659361i | \(-0.770827\pi\) | ||||
−0.751827 | + | 0.659361i | \(0.770827\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −17.6570 | −0.701802 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −6.59704 | −0.261796 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −34.0072 | −1.34741 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1.36610 | −0.0540422 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 19.4063 | 0.766504 | 0.383252 | − | 0.923644i | \(-0.374804\pi\) | ||||
0.383252 | + | 0.923644i | \(0.374804\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −39.3776 | −1.55290 | −0.776451 | − | 0.630178i | \(-0.782982\pi\) | ||||
−0.776451 | + | 0.630178i | \(0.782982\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.63634 | 0.182556 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −25.0461 | −0.984664 | −0.492332 | − | 0.870408i | \(-0.663855\pi\) | ||||
−0.492332 | + | 0.870408i | \(0.663855\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.75278 | −0.0688026 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −31.2830 | −1.22608 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 11.8911 | 0.465334 | 0.232667 | − | 0.972556i | \(-0.425255\pi\) | ||||
0.232667 | + | 0.972556i | \(0.425255\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.43973 | 0.134402 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −4.75477 | −0.185501 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 26.4031 | 1.02852 | 0.514260 | − | 0.857634i | \(-0.328067\pi\) | ||||
0.514260 | + | 0.857634i | \(0.328067\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −26.2909 | −1.02260 | −0.511299 | − | 0.859403i | \(-0.670835\pi\) | ||||
−0.511299 | + | 0.859403i | \(0.670835\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 18.9346 | 0.735357 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 8.02122 | 0.311049 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −43.4872 | −1.68383 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 19.8020 | 0.765589 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.14901 | 0.160171 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.12801 | 0.0434815 | 0.0217407 | − | 0.999764i | \(-0.493079\pi\) | ||||
0.0217407 | + | 0.999764i | \(0.493079\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.36402 | −0.206461 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −34.9004 | −1.34133 | −0.670666 | − | 0.741760i | \(-0.733992\pi\) | ||||
−0.670666 | + | 0.741760i | \(0.733992\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −21.5758 | −0.828002 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −20.3874 | −0.781247 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −27.7382 | −1.06137 | −0.530687 | − | 0.847568i | \(-0.678066\pi\) | ||||
−0.530687 | + | 0.847568i | \(0.678066\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.45561 | −0.246656 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 12.5070 | 0.477172 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 44.7609 | 1.70525 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 30.7533 | 1.16991 | 0.584955 | − | 0.811065i | \(-0.301112\pi\) | ||||
0.584955 | + | 0.811065i | \(0.301112\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −8.74484 | −0.332189 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.78554 | −0.105662 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 25.7566 | 0.975601 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 23.9714 | 0.906682 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.46049 | 0.0551619 | 0.0275809 | − | 0.999620i | \(-0.491220\pi\) | ||||
0.0275809 | + | 0.999620i | \(0.491220\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.20924 | 0.0833229 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −11.9023 | −0.448265 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.52096 | −0.0948106 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 23.4773 | 0.881708 | 0.440854 | − | 0.897579i | \(-0.354676\pi\) | ||||
0.440854 | + | 0.897579i | \(0.354676\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.27897 | 0.0479653 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 51.5993 | 1.93241 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.81926 | 0.292424 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −15.1607 | −0.566188 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −25.7124 | −0.958912 | −0.479456 | − | 0.877566i | \(-0.659166\pi\) | ||||
−0.479456 | + | 0.877566i | \(0.659166\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 43.4654 | 1.61874 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 18.7350 | 0.696762 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 6.35495 | 0.236017 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −37.2155 | −1.38025 | −0.690124 | − | 0.723691i | \(-0.742444\pi\) | ||||
−0.690124 | + | 0.723691i | \(0.742444\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 20.1604 | 0.746680 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 12.2233 | 0.452094 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −45.9003 | −1.69537 | −0.847683 | − | 0.530503i | \(-0.822003\pi\) | ||||
−0.847683 | + | 0.530503i | \(0.822003\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −7.06441 | −0.260575 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −11.1103 | −0.409254 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −26.7807 | −0.985142 | −0.492571 | − | 0.870272i | \(-0.663943\pi\) | ||||
−0.492571 | + | 0.870272i | \(0.663943\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 13.8857 | 0.510106 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −3.78292 | −0.138782 | −0.0693909 | − | 0.997590i | \(-0.522106\pi\) | ||||
−0.0693909 | + | 0.997590i | \(0.522106\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.55552 | 0.203539 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 12.5636 | 0.459679 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.76571 | 0.174135 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 28.5727 | 1.04263 | 0.521317 | − | 0.853363i | \(-0.325441\pi\) | ||||
0.521317 | + | 0.853363i | \(0.325441\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 14.6247 | 0.532954 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.41847 | −0.160805 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 30.6449 | 1.11381 | 0.556904 | − | 0.830577i | \(-0.311989\pi\) | ||||
0.556904 | + | 0.830577i | \(0.311989\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −11.1153 | −0.403459 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 20.9555 | 0.759635 | 0.379818 | − | 0.925061i | \(-0.375987\pi\) | ||||
0.379818 | + | 0.925061i | \(0.375987\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 18.3671 | 0.664932 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −5.10419 | −0.184542 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 6.78240 | 0.244898 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.3605 | 0.662095 | 0.331047 | − | 0.943614i | \(-0.392598\pi\) | ||||
0.331047 | + | 0.943614i | \(0.392598\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −26.9658 | −0.971148 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −48.4623 | −1.74307 | −0.871534 | − | 0.490334i | \(-0.836875\pi\) | ||||
−0.871534 | + | 0.490334i | \(0.836875\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.54039 | −0.270859 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −4.14872 | −0.148834 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 18.8887 | 0.676759 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.14614 | 0.0410123 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −34.0880 | −1.21821 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 16.9555 | 0.605167 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.54910 | −0.0552194 | −0.0276097 | − | 0.999619i | \(-0.508790\pi\) | ||||
−0.0276097 | + | 0.999619i | \(0.508790\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 12.7178 | 0.452766 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 45.0257 | 1.60093 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −16.0546 | −0.570117 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 9.29830 | 0.329777 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 49.0430 | 1.73719 | 0.868597 | − | 0.495520i | \(-0.165022\pi\) | ||||
0.868597 | + | 0.495520i | \(0.165022\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −31.3792 | −1.11012 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −25.1915 | −0.890097 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 3.98920 | 0.140776 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 24.8455 | 0.875689 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 29.1127 | 1.02481 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −12.7273 | −0.447468 | −0.223734 | − | 0.974650i | \(-0.571825\pi\) | ||||
−0.223734 | + | 0.974650i | \(0.571825\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 30.7930 | 1.08129 | 0.540645 | − | 0.841251i | \(-0.318180\pi\) | ||||
0.540645 | + | 0.841251i | \(0.318180\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 12.6412 | 0.443347 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 17.0709 | 0.597966 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.96400 | 0.313611 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 33.8383 | 1.18240 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 28.0073 | 0.977463 | 0.488731 | − | 0.872434i | \(-0.337460\pi\) | ||||
0.488731 | + | 0.872434i | \(0.337460\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.24000 | −0.0432237 | −0.0216119 | − | 0.999766i | \(-0.506880\pi\) | ||||
−0.0216119 | + | 0.999766i | \(0.506880\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.62432 | 0.0565515 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 14.1170 | 0.490895 | 0.245447 | − | 0.969410i | \(-0.421065\pi\) | ||||
0.245447 | + | 0.969410i | \(0.421065\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.1516 | −0.491507 | −0.245753 | − | 0.969332i | \(-0.579035\pi\) | ||||
−0.245753 | + | 0.969332i | \(0.579035\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −12.6414 | −0.438525 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −18.6246 | −0.645306 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.418474 | 0.0144819 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 40.4468 | 1.39805 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.43182 | −0.0494319 | −0.0247159 | − | 0.999695i | \(-0.507868\pi\) | ||||
−0.0247159 | + | 0.999695i | \(0.507868\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.3853 | 0.392598 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −26.6994 | −0.919578 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −17.2567 | −0.593650 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −32.6016 | −1.12020 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −21.6299 | −0.742337 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.84305 | 0.234577 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −39.6167 | −1.35645 | −0.678226 | − | 0.734854i | \(-0.737251\pi\) | ||||
−0.678226 | + | 0.734854i | \(0.737251\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.74319 | −0.128014 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 38.5710 | 1.31756 | 0.658780 | − | 0.752336i | \(-0.271073\pi\) | ||||
0.658780 | + | 0.752336i | \(0.271073\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.9737 | 0.442656 | 0.221328 | − | 0.975199i | \(-0.428961\pi\) | ||||
0.221328 | + | 0.975199i | \(0.428961\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −35.4711 | −1.20885 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −20.3870 | −0.693982 | −0.346991 | − | 0.937868i | \(-0.612797\pi\) | ||||
−0.346991 | + | 0.937868i | \(0.612797\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.9805 | −0.509352 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −9.05534 | −0.307535 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.07304 | −0.0364005 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 42.9916 | 1.45671 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 10.0686 | 0.340769 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −3.63076 | −0.122742 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.4158 | −0.520554 | −0.260277 | − | 0.965534i | \(-0.583814\pi\) | ||||
−0.260277 | + | 0.965534i | \(0.583814\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 19.5416 | 0.659122 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 19.1361 | 0.644711 | 0.322355 | − | 0.946619i | \(-0.395525\pi\) | ||||
0.322355 | + | 0.946619i | \(0.395525\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.29325 | −0.110827 | −0.0554134 | − | 0.998463i | \(-0.517648\pi\) | ||||
−0.0554134 | + | 0.998463i | \(0.517648\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.40893 | 0.0473605 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −53.8424 | −1.80785 | −0.903925 | − | 0.427691i | \(-0.859327\pi\) | ||||
−0.903925 | + | 0.427691i | \(0.859327\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 23.9523 | 0.803334 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.48724 | −0.0498245 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −23.0121 | −0.770070 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 18.0656 | 0.603868 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 43.0107 | 1.43609 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −47.9188 | −1.59818 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 24.5141 | 0.816682 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −16.8335 | −0.560183 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 16.9918 | 0.564826 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 39.2250 | 1.30244 | 0.651222 | − | 0.758888i | \(-0.274257\pi\) | ||||
0.651222 | + | 0.758888i | \(0.274257\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 1.17643 | 0.0390199 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 17.0376 | 0.564479 | 0.282240 | − | 0.959344i | \(-0.408923\pi\) | ||||
0.282240 | + | 0.959344i | \(0.408923\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −10.5407 | −0.348847 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −3.33507 | −0.110254 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −12.4889 | −0.412418 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 53.6082 | 1.76837 | 0.884185 | − | 0.467136i | \(-0.154714\pi\) | ||||
0.884185 | + | 0.467136i | \(0.154714\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −13.3162 | −0.438782 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −4.43502 | −0.145981 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.00000 | −0.0328798 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −20.2836 | −0.666200 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −18.7137 | −0.613977 | −0.306989 | − | 0.951713i | \(-0.599321\pi\) | ||||
−0.306989 | + | 0.951713i | \(0.599321\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −13.6585 | −0.447638 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 34.1646 | 1.11850 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 4.28236 | 0.140048 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 44.9946 | 1.46991 | 0.734955 | − | 0.678116i | \(-0.237203\pi\) | ||||
0.734955 | + | 0.678116i | \(0.237203\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −35.6115 | −1.16214 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −40.2103 | −1.31082 | −0.655408 | − | 0.755275i | \(-0.727503\pi\) | ||||
−0.655408 | + | 0.755275i | \(0.727503\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 58.5074 | 1.90526 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 19.4755 | 0.633537 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 30.8063 | 1.00107 | 0.500535 | − | 0.865717i | \(-0.333137\pi\) | ||||
0.500535 | + | 0.865717i | \(0.333137\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −15.4362 | −0.501082 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.30910 | 0.172159 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 28.5659 | 0.925341 | 0.462671 | − | 0.886530i | \(-0.346891\pi\) | ||||
0.462671 | + | 0.886530i | \(0.346891\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 14.4621 | 0.467981 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 10.3224 | 0.333677 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 23.4388 | 0.756878 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.8576 | 0.834115 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.22397 | −0.0716664 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 11.9524 | 0.384762 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −43.4628 | −1.39767 | −0.698835 | − | 0.715282i | \(-0.746298\pi\) | ||||
−0.698835 | + | 0.715282i | \(0.746298\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 7.60477 | 0.244301 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 32.6988 | 1.04935 | 0.524676 | − | 0.851302i | \(-0.324186\pi\) | ||||
0.524676 | + | 0.851302i | \(0.324186\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 10.1136 | 0.324228 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −6.28531 | −0.201291 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 58.9072 | 1.88461 | 0.942304 | − | 0.334758i | \(-0.108655\pi\) | ||||
0.942304 | + | 0.334758i | \(0.108655\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 21.1353 | 0.675488 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −8.57119 | −0.273657 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −27.4016 | −0.873975 | −0.436987 | − | 0.899468i | \(-0.643955\pi\) | ||||
−0.436987 | + | 0.899468i | \(0.643955\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.44313 | −0.0778445 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 43.2143 | 1.37553 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 27.7658 | 0.882900 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.34631 | 0.201597 | 0.100799 | − | 0.994907i | \(-0.467860\pi\) | ||||
0.100799 | + | 0.994907i | \(0.467860\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −13.3206 | −0.422718 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 16.4720 | 0.522197 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 61.3970 | 1.94446 | 0.972231 | − | 0.234024i | \(-0.0751894\pi\) | ||||
0.972231 | + | 0.234024i | \(0.0751894\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 5.36402 | 0.169710 |
(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 | 2960.2.a.x.1.4 | 5 | ||
4.3 | odd | 2 | 1480.2.a.j.1.2 | ✓ | 5 | ||
20.19 | odd | 2 | 7400.2.a.o.1.4 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1480.2.a.j.1.2 | ✓ | 5 | 4.3 | odd | 2 | ||
2960.2.a.x.1.4 | 5 | 1.1 | even | 1 | trivial | ||
7400.2.a.o.1.4 | 5 | 20.19 | odd | 2 |