Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6036,2,Mod(1,6036)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6036, 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("6036.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6036 = 2^{2} \cdot 3 \cdot 503 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6036.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: | \(48.1977026600\) |
Analytic rank: | \(0\) |
Dimension: | \(26\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.18 | ||
Character | \(\chi\) | \(=\) | 6036.1 |
$q$-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 | ||||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.90366 | 0.851345 | 0.425672 | − | 0.904877i | \(-0.360038\pi\) | ||||
0.425672 | + | 0.904877i | \(0.360038\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.61918 | −1.36792 | −0.683960 | − | 0.729519i | \(-0.739744\pi\) | ||||
−0.683960 | + | 0.729519i | \(0.739744\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.57755 | 1.68170 | 0.840848 | − | 0.541272i | \(-0.182057\pi\) | ||||
0.840848 | + | 0.541272i | \(0.182057\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.61913 | 1.55847 | 0.779234 | − | 0.626734i | \(-0.215609\pi\) | ||||
0.779234 | + | 0.626734i | \(0.215609\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.90366 | −0.491524 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 6.17169 | 1.49685 | 0.748427 | − | 0.663217i | \(-0.230809\pi\) | ||||
0.748427 | + | 0.663217i | \(0.230809\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.419270 | −0.0961872 | −0.0480936 | − | 0.998843i | \(-0.515315\pi\) | ||||
−0.0480936 | + | 0.998843i | \(0.515315\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.61918 | 0.789770 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.21783 | 0.670964 | 0.335482 | − | 0.942047i | \(-0.391101\pi\) | ||||
0.335482 | + | 0.942047i | \(0.391101\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.37606 | −0.275212 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.62615 | 0.673360 | 0.336680 | − | 0.941619i | \(-0.390696\pi\) | ||||
0.336680 | + | 0.941619i | \(0.390696\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.39266 | 0.968550 | 0.484275 | − | 0.874916i | \(-0.339083\pi\) | ||||
0.484275 | + | 0.874916i | \(0.339083\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −5.57755 | −0.970927 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −6.88970 | −1.16457 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.73595 | −0.449787 | −0.224894 | − | 0.974383i | \(-0.572203\pi\) | ||||
−0.224894 | + | 0.974383i | \(0.572203\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.61913 | −0.899781 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.39155 | −0.373497 | −0.186749 | − | 0.982408i | \(-0.559795\pi\) | ||||
−0.186749 | + | 0.982408i | \(0.559795\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.76555 | 0.421743 | 0.210872 | − | 0.977514i | \(-0.432370\pi\) | ||||
0.210872 | + | 0.977514i | \(0.432370\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.90366 | 0.283782 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.129160 | 0.0188399 | 0.00941994 | − | 0.999956i | \(-0.497001\pi\) | ||||
0.00941994 | + | 0.999956i | \(0.497001\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.09845 | 0.871208 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.17169 | −0.864209 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 8.82207 | 1.21180 | 0.605902 | − | 0.795539i | \(-0.292812\pi\) | ||||
0.605902 | + | 0.795539i | \(0.292812\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.6178 | 1.43170 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.419270 | 0.0555337 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.0305566 | −0.00397813 | −0.00198906 | − | 0.999998i | \(-0.500633\pi\) | ||||
−0.00198906 | + | 0.999998i | \(0.500633\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.48688 | −0.446450 | −0.223225 | − | 0.974767i | \(-0.571658\pi\) | ||||
−0.223225 | + | 0.974767i | \(0.571658\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.61918 | −0.455974 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 10.6969 | 1.32679 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.2996 | −1.38046 | −0.690232 | − | 0.723588i | \(-0.742492\pi\) | ||||
−0.690232 | + | 0.723588i | \(0.742492\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.21783 | −0.387381 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.48404 | 0.413480 | 0.206740 | − | 0.978396i | \(-0.433715\pi\) | ||||
0.206740 | + | 0.978396i | \(0.433715\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.80164 | −0.913113 | −0.456556 | − | 0.889694i | \(-0.650917\pi\) | ||||
−0.456556 | + | 0.889694i | \(0.650917\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.37606 | 0.158894 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −20.1862 | −2.30043 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.5184 | −1.63344 | −0.816722 | − | 0.577032i | \(-0.804211\pi\) | ||||
−0.816722 | + | 0.577032i | \(0.804211\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.10465 | 0.560308 | 0.280154 | − | 0.959955i | \(-0.409614\pi\) | ||||
0.280154 | + | 0.959955i | \(0.409614\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 11.7488 | 1.27434 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −3.62615 | −0.388764 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 11.8290 | 1.25387 | 0.626936 | − | 0.779070i | \(-0.284309\pi\) | ||||
0.626936 | + | 0.779070i | \(0.284309\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −20.3366 | −2.13186 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −5.39266 | −0.559193 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.798150 | −0.0818884 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −11.7288 | −1.19088 | −0.595441 | − | 0.803399i | \(-0.703023\pi\) | ||||
−0.595441 | + | 0.803399i | \(0.703023\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.57755 | 0.560565 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 18.1101 | 1.80202 | 0.901012 | − | 0.433794i | \(-0.142825\pi\) | ||||
0.901012 | + | 0.433794i | \(0.142825\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −13.1885 | −1.29950 | −0.649750 | − | 0.760148i | \(-0.725126\pi\) | ||||
−0.649750 | + | 0.760148i | \(0.725126\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 6.88970 | 0.672366 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.332326 | 0.0321272 | 0.0160636 | − | 0.999871i | \(-0.494887\pi\) | ||||
0.0160636 | + | 0.999871i | \(0.494887\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −17.5340 | −1.67946 | −0.839728 | − | 0.543007i | \(-0.817286\pi\) | ||||
−0.839728 | + | 0.543007i | \(0.817286\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.73595 | 0.259685 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.03768 | 0.379833 | 0.189916 | − | 0.981800i | \(-0.439178\pi\) | ||||
0.189916 | + | 0.981800i | \(0.439178\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.12567 | 0.571222 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 5.61913 | 0.519489 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −22.3364 | −2.04758 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 20.1091 | 1.82810 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.39155 | 0.215639 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −12.1379 | −1.08565 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.02421 | −0.534562 | −0.267281 | − | 0.963619i | \(-0.586125\pi\) | ||||
−0.267281 | + | 0.963619i | \(0.586125\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.76555 | −0.243493 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −9.22093 | −0.805636 | −0.402818 | − | 0.915280i | \(-0.631969\pi\) | ||||
−0.402818 | + | 0.915280i | \(0.631969\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.51741 | 0.131576 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.90366 | −0.163841 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 14.9935 | 1.28098 | 0.640491 | − | 0.767966i | \(-0.278731\pi\) | ||||
0.640491 | + | 0.767966i | \(0.278731\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.1669 | −0.947161 | −0.473580 | − | 0.880751i | \(-0.657039\pi\) | ||||
−0.473580 | + | 0.880751i | \(0.657039\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.129160 | −0.0108772 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 31.3410 | 2.62087 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.90298 | 0.573261 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.09845 | −0.502992 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 19.6013 | 1.60580 | 0.802900 | − | 0.596114i | \(-0.203289\pi\) | ||||
0.802900 | + | 0.596114i | \(0.203289\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.73694 | −0.304108 | −0.152054 | − | 0.988372i | \(-0.548589\pi\) | ||||
−0.152054 | + | 0.988372i | \(0.548589\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 6.17169 | 0.498951 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 10.2658 | 0.824570 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 24.8232 | 1.98111 | 0.990553 | − | 0.137131i | \(-0.0437882\pi\) | ||||
0.990553 | + | 0.137131i | \(0.0437882\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −8.82207 | −0.699635 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −11.6459 | −0.917826 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 19.1568 | 1.50048 | 0.750239 | − | 0.661167i | \(-0.229939\pi\) | ||||
0.750239 | + | 0.661167i | \(0.229939\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −10.6178 | −0.826594 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −16.2557 | −1.25790 | −0.628951 | − | 0.777445i | \(-0.716516\pi\) | ||||
−0.628951 | + | 0.777445i | \(0.716516\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 18.5747 | 1.42882 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.419270 | −0.0320624 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 13.3360 | 1.01392 | 0.506958 | − | 0.861971i | \(-0.330770\pi\) | ||||
0.506958 | + | 0.861971i | \(0.330770\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.98021 | 0.376469 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.0305566 | 0.00229677 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 24.0711 | 1.79916 | 0.899579 | − | 0.436757i | \(-0.143873\pi\) | ||||
0.899579 | + | 0.436757i | \(0.143873\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.94634 | 0.516318 | 0.258159 | − | 0.966102i | \(-0.416884\pi\) | ||||
0.258159 | + | 0.966102i | \(0.416884\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.48688 | 0.257758 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.20833 | −0.382924 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 34.4229 | 2.51725 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.61918 | 0.263257 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.5873 | −0.910784 | −0.455392 | − | 0.890291i | \(-0.650501\pi\) | ||||
−0.455392 | + | 0.890291i | \(0.650501\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.10938 | −0.367781 | −0.183890 | − | 0.982947i | \(-0.558869\pi\) | ||||
−0.183890 | + | 0.982947i | \(0.558869\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −10.6969 | −0.766024 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.47196 | −0.176120 | −0.0880599 | − | 0.996115i | \(-0.528067\pi\) | ||||
−0.0880599 | + | 0.996115i | \(0.528067\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 25.0861 | 1.77830 | 0.889152 | − | 0.457612i | \(-0.151295\pi\) | ||||
0.889152 | + | 0.457612i | \(0.151295\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 11.2996 | 0.797011 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −13.1237 | −0.921103 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.55271 | −0.317975 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.21783 | 0.223655 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.33850 | −0.161758 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.0915 | 1.03894 | 0.519471 | − | 0.854488i | \(-0.326129\pi\) | ||||
0.519471 | + | 0.854488i | \(0.326129\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.48404 | −0.238723 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 5.26469 | 0.359049 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −19.5170 | −1.32490 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 7.80164 | 0.527186 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 34.6795 | 2.33280 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −27.7017 | −1.85504 | −0.927522 | − | 0.373768i | \(-0.878066\pi\) | ||||
−0.927522 | + | 0.373768i | \(0.878066\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.37606 | −0.0917374 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −14.0651 | −0.933536 | −0.466768 | − | 0.884380i | \(-0.654582\pi\) | ||||
−0.466768 | + | 0.884380i | \(0.654582\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.9817 | −0.725690 | −0.362845 | − | 0.931850i | \(-0.618195\pi\) | ||||
−0.362845 | + | 0.931850i | \(0.618195\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 20.1862 | 1.32815 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −16.3683 | −1.07232 | −0.536162 | − | 0.844115i | \(-0.680127\pi\) | ||||
−0.536162 | + | 0.844115i | \(0.680127\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.245877 | 0.0160392 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 14.5184 | 0.943069 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −27.8170 | −1.79933 | −0.899665 | − | 0.436581i | \(-0.856189\pi\) | ||||
−0.899665 | + | 0.436581i | \(0.856189\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.8561 | 0.699302 | 0.349651 | − | 0.936880i | \(-0.386300\pi\) | ||||
0.349651 | + | 0.936880i | \(0.386300\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 11.6094 | 0.741698 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.35594 | −0.149905 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −5.10465 | −0.323494 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4.31403 | −0.272299 | −0.136150 | − | 0.990688i | \(-0.543473\pi\) | ||||
−0.136150 | + | 0.990688i | \(0.543473\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 17.9476 | 1.12836 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −11.7488 | −0.735740 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −26.7299 | −1.66737 | −0.833683 | − | 0.552244i | \(-0.813772\pi\) | ||||
−0.833683 | + | 0.552244i | \(0.813772\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.90189 | 0.615273 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.62615 | 0.224453 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −7.27645 | −0.448685 | −0.224342 | − | 0.974510i | \(-0.572023\pi\) | ||||
−0.224342 | + | 0.974510i | \(0.572023\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.7943 | 1.03166 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −11.8290 | −0.723924 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.84338 | 0.417248 | 0.208624 | − | 0.977996i | \(-0.433101\pi\) | ||||
0.208624 | + | 0.977996i | \(0.433101\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −24.3794 | −1.48094 | −0.740471 | − | 0.672089i | \(-0.765397\pi\) | ||||
−0.740471 | + | 0.672089i | \(0.765397\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 20.3366 | 1.23083 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −7.67505 | −0.462823 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.73872 | −0.404891 | −0.202445 | − | 0.979294i | \(-0.564889\pi\) | ||||
−0.202445 | + | 0.979294i | \(0.564889\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 5.39266 | 0.322850 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.6602 | 0.874552 | 0.437276 | − | 0.899327i | \(-0.355943\pi\) | ||||
0.437276 | + | 0.899327i | \(0.355943\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.3854 | 0.617346 | 0.308673 | − | 0.951168i | \(-0.400115\pi\) | ||||
0.308673 | + | 0.951168i | \(0.400115\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.798150 | 0.0472783 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 8.65545 | 0.510915 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 21.0897 | 1.24057 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 11.7288 | 0.687556 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 16.0050 | 0.935020 | 0.467510 | − | 0.883988i | \(-0.345151\pi\) | ||||
0.467510 | + | 0.883988i | \(0.345151\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0581695 | −0.00338676 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.57755 | −0.323642 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 18.0814 | 1.04568 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.0090 | −0.576911 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −18.1101 | −1.04040 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.63786 | −0.380082 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 15.5437 | 0.887126 | 0.443563 | − | 0.896243i | \(-0.353714\pi\) | ||||
0.443563 | + | 0.896243i | \(0.353714\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 13.1885 | 0.750266 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.59429 | 0.317223 | 0.158611 | − | 0.987341i | \(-0.449298\pi\) | ||||
0.158611 | + | 0.987341i | \(0.449298\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 24.5636 | 1.38841 | 0.694207 | − | 0.719775i | \(-0.255755\pi\) | ||||
0.694207 | + | 0.719775i | \(0.255755\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −6.88970 | −0.388191 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −3.67825 | −0.206591 | −0.103295 | − | 0.994651i | \(-0.532939\pi\) | ||||
−0.103295 | + | 0.994651i | \(0.532939\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 20.2251 | 1.13239 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.332326 | −0.0185486 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.58760 | −0.143978 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.73227 | −0.428909 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 17.5340 | 0.969634 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.467452 | −0.0257715 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 25.4670 | 1.39979 | 0.699896 | − | 0.714245i | \(-0.253230\pi\) | ||||
0.699896 | + | 0.714245i | \(0.253230\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.73595 | −0.149929 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −21.5106 | −1.17525 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −27.7981 | −1.51426 | −0.757130 | − | 0.653264i | \(-0.773399\pi\) | ||||
−0.757130 | + | 0.653264i | \(0.773399\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −4.03768 | −0.219296 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 30.0778 | 1.62881 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.26286 | 0.176178 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −6.12567 | −0.329795 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 12.8933 | 0.692147 | 0.346073 | − | 0.938207i | \(-0.387515\pi\) | ||||
0.346073 | + | 0.938207i | \(0.387515\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 25.7314 | 1.37737 | 0.688684 | − | 0.725061i | \(-0.258189\pi\) | ||||
0.688684 | + | 0.725061i | \(0.258189\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.61913 | −0.299927 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −9.39146 | −0.499857 | −0.249929 | − | 0.968264i | \(-0.580407\pi\) | ||||
−0.249929 | + | 0.968264i | \(0.580407\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.63245 | 0.352014 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 22.3364 | 1.18217 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 32.7278 | 1.72731 | 0.863653 | − | 0.504086i | \(-0.168171\pi\) | ||||
0.863653 | + | 0.504086i | \(0.168171\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.8242 | −0.990748 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −20.1091 | −1.05545 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −14.8517 | −0.777374 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.5432 | 0.550353 | 0.275176 | − | 0.961394i | \(-0.411264\pi\) | ||||
0.275176 | + | 0.961394i | \(0.411264\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −2.39155 | −0.124499 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −31.9286 | −1.65765 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −15.5545 | −0.805382 | −0.402691 | − | 0.915336i | \(-0.631925\pi\) | ||||
−0.402691 | + | 0.915336i | \(0.631925\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 12.1379 | 0.626798 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 20.3758 | 1.04941 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.27475 | −0.116846 | −0.0584231 | − | 0.998292i | \(-0.518607\pi\) | ||||
−0.0584231 | + | 0.998292i | \(0.518607\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.02421 | 0.308630 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −3.50779 | −0.179240 | −0.0896199 | − | 0.995976i | \(-0.528565\pi\) | ||||
−0.0896199 | + | 0.995976i | \(0.528565\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −38.4277 | −1.95846 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.76555 | 0.140581 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 31.3820 | 1.59113 | 0.795565 | − | 0.605868i | \(-0.207174\pi\) | ||||
0.795565 | + | 0.605868i | \(0.207174\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.8594 | 1.00434 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 9.22093 | 0.465134 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −27.6381 | −1.39062 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −19.6125 | −0.984325 | −0.492163 | − | 0.870503i | \(-0.663793\pi\) | ||||
−0.492163 | + | 0.870503i | \(0.663793\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.51741 | −0.0759657 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7.08248 | 0.353682 | 0.176841 | − | 0.984239i | \(-0.443412\pi\) | ||||
0.176841 | + | 0.984239i | \(0.443412\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 30.3021 | 1.50945 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.90366 | 0.0945939 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −15.2599 | −0.756405 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −16.5777 | −0.819714 | −0.409857 | − | 0.912150i | \(-0.634421\pi\) | ||||
−0.409857 | + | 0.912150i | \(0.634421\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −14.9935 | −0.739575 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.110590 | 0.00544176 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 9.71755 | 0.477016 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 11.1669 | 0.546844 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −36.5142 | −1.78384 | −0.891918 | − | 0.452196i | \(-0.850641\pi\) | ||||
−0.891918 | + | 0.452196i | \(0.850641\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −19.7421 | −0.962172 | −0.481086 | − | 0.876673i | \(-0.659758\pi\) | ||||
−0.481086 | + | 0.876673i | \(0.659758\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.129160 | 0.00627996 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −8.49262 | −0.411952 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.6197 | 0.610708 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −31.3410 | −1.51316 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.77006 | 0.181597 | 0.0907986 | − | 0.995869i | \(-0.471058\pi\) | ||||
0.0907986 | + | 0.995869i | \(0.471058\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.6330 | 0.559045 | 0.279522 | − | 0.960139i | \(-0.409824\pi\) | ||||
0.279522 | + | 0.960139i | \(0.409824\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.90298 | −0.330972 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.34914 | −0.0645382 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 36.0749 | 1.72176 | 0.860880 | − | 0.508809i | \(-0.169914\pi\) | ||||
0.860880 | + | 0.508809i | \(0.169914\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.09845 | 0.290403 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 28.7802 | 1.36739 | 0.683694 | − | 0.729769i | \(-0.260373\pi\) | ||||
0.683694 | + | 0.729769i | \(0.260373\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 22.5185 | 1.06748 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −19.6013 | −0.927109 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −13.3412 | −0.629609 | −0.314805 | − | 0.949157i | \(-0.601939\pi\) | ||||
−0.314805 | + | 0.949157i | \(0.601939\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −13.3390 | −0.628109 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.73694 | 0.175577 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −38.7142 | −1.81495 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −30.3061 | −1.41766 | −0.708830 | − | 0.705379i | \(-0.750777\pi\) | ||||
−0.708830 | + | 0.705379i | \(0.750777\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −6.17169 | −0.288070 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 9.62387 | 0.448228 | 0.224114 | − | 0.974563i | \(-0.428051\pi\) | ||||
0.224114 | + | 0.974563i | \(0.428051\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.99653 | 0.0927867 | 0.0463934 | − | 0.998923i | \(-0.485227\pi\) | ||||
0.0463934 | + | 0.998923i | \(0.485227\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −10.2658 | −0.476066 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 0.964828 | 0.0446469 | 0.0223235 | − | 0.999751i | \(-0.492894\pi\) | ||||
0.0223235 | + | 0.999751i | \(0.492894\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 40.8952 | 1.88837 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −24.8232 | −1.14379 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 15.4250 | 0.709243 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.576941 | 0.0264719 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 8.82207 | 0.403935 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −20.4762 | −0.935581 | −0.467790 | − | 0.883839i | \(-0.654950\pi\) | ||||
−0.467790 | + | 0.883839i | \(0.654950\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.3737 | −0.700979 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 11.6459 | 0.529907 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −22.3277 | −1.01385 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.3594 | −0.605370 | −0.302685 | − | 0.953091i | \(-0.597883\pi\) | ||||
−0.302685 | + | 0.953091i | \(0.597883\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −19.1568 | −0.866301 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.02733 | 0.0463629 | 0.0231815 | − | 0.999731i | \(-0.492620\pi\) | ||||
0.0231815 | + | 0.999731i | \(0.492620\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 22.3795 | 1.00792 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 10.6178 | 0.477234 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −12.6094 | −0.565608 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −38.8368 | −1.73858 | −0.869288 | − | 0.494307i | \(-0.835422\pi\) | ||||
−0.869288 | + | 0.494307i | \(0.835422\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 16.2557 | 0.726250 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.00000 | −0.0445878 | ||||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 34.4756 | 1.53414 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −18.5747 | −0.824930 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −12.4332 | −0.551093 | −0.275547 | − | 0.961288i | \(-0.588859\pi\) | ||||
−0.275547 | + | 0.961288i | \(0.588859\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 28.2355 | 1.24907 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.419270 | 0.0185112 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −25.1064 | −1.10632 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.720395 | 0.0316830 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −13.3360 | −0.585385 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.694905 | 0.0304444 | 0.0152222 | − | 0.999884i | \(-0.495154\pi\) | ||||
0.0152222 | + | 0.999884i | \(0.495154\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.4278 | −0.499703 | −0.249852 | − | 0.968284i | \(-0.580382\pi\) | ||||
−0.249852 | + | 0.968284i | \(0.580382\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −4.98021 | −0.217354 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 33.2818 | 1.44978 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −12.6456 | −0.549807 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.0305566 | −0.00132604 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −13.4384 | −0.582084 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.632638 | 0.0273513 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −24.0711 | −1.03874 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 34.0144 | 1.46511 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 26.3541 | 1.13305 | 0.566526 | − | 0.824044i | \(-0.308287\pi\) | ||||
0.566526 | + | 0.824044i | \(0.308287\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −6.94634 | −0.298096 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −33.3789 | −1.42980 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.56641 | 0.280759 | 0.140380 | − | 0.990098i | \(-0.455168\pi\) | ||||
0.140380 | + | 0.990098i | \(0.455168\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −3.48688 | −0.148817 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.52034 | −0.0647686 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 52.5446 | 2.23442 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 5.20833 | 0.221081 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 33.8341 | 1.43360 | 0.716799 | − | 0.697280i | \(-0.245607\pi\) | ||||
0.716799 | + | 0.697280i | \(0.245607\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.5400 | 0.657273 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −34.4229 | −1.45334 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −0.556859 | −0.0234688 | −0.0117344 | − | 0.999931i | \(-0.503735\pi\) | ||||
−0.0117344 | + | 0.999931i | \(0.503735\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.68638 | 0.323368 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.61918 | −0.151991 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 21.0750 | 0.883509 | 0.441754 | − | 0.897136i | \(-0.354356\pi\) | ||||
0.441754 | + | 0.897136i | \(0.354356\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.38512 | 0.141663 | 0.0708314 | − | 0.997488i | \(-0.477435\pi\) | ||||
0.0708314 | + | 0.997488i | \(0.477435\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 12.5873 | 0.525841 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.42793 | −0.184658 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.4257 | −0.517289 | −0.258645 | − | 0.965973i | \(-0.583276\pi\) | ||||
−0.258645 | + | 0.965973i | \(0.583276\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 5.10938 | 0.212338 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −18.4746 | −0.766458 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 49.2055 | 2.03789 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 10.6969 | 0.442264 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 20.9155 | 0.863274 | 0.431637 | − | 0.902047i | \(-0.357936\pi\) | ||||
0.431637 | + | 0.902047i | \(0.357936\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.26098 | −0.0931621 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 2.47196 | 0.101683 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 8.03087 | 0.329788 | 0.164894 | − | 0.986311i | \(-0.447272\pi\) | ||||
0.164894 | + | 0.986311i | \(0.447272\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −42.5211 | −1.74319 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −25.0861 | −1.02670 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 13.4615 | 0.550024 | 0.275012 | − | 0.961441i | \(-0.411318\pi\) | ||||
0.275012 | + | 0.961441i | \(0.411318\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −25.1994 | −1.02790 | −0.513952 | − | 0.857819i | \(-0.671819\pi\) | ||||
−0.513952 | + | 0.857819i | \(0.671819\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −11.2996 | −0.460155 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 38.2810 | 1.55634 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.94928 | 0.403829 | 0.201914 | − | 0.979403i | \(-0.435284\pi\) | ||||
0.201914 | + | 0.979403i | \(0.435284\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 13.1237 | 0.531799 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.725766 | 0.0293613 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 42.0466 | 1.69825 | 0.849123 | − | 0.528195i | \(-0.177131\pi\) | ||||
0.849123 | + | 0.528195i | \(0.177131\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.55271 | 0.183583 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.69200 | −0.108376 | −0.0541880 | − | 0.998531i | \(-0.517257\pi\) | ||||
−0.0541880 | + | 0.998531i | \(0.517257\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.98069 | −0.320771 | −0.160386 | − | 0.987054i | \(-0.551274\pi\) | ||||
−0.160386 | + | 0.987054i | \(0.551274\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.21783 | −0.129127 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −42.8113 | −1.71520 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −16.2262 | −0.649046 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.33850 | 0.0933908 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −16.8854 | −0.673266 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.56812 | 0.380901 | 0.190450 | − | 0.981697i | \(-0.439005\pi\) | ||||
0.190450 | + | 0.981697i | \(0.439005\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −15.0915 | −0.599834 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −11.4681 | −0.455097 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 34.2680 | 1.35775 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.48404 | 0.137827 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 22.5848 | 0.892045 | 0.446023 | − | 0.895022i | \(-0.352840\pi\) | ||||
0.446023 | + | 0.895022i | \(0.352840\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.5119 | 0.769473 | 0.384736 | − | 0.923026i | \(-0.374292\pi\) | ||||
0.384736 | + | 0.923026i | \(0.374292\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5.26469 | −0.207297 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 10.9375 | 0.429996 | 0.214998 | − | 0.976614i | \(-0.431025\pi\) | ||||
0.214998 | + | 0.976614i | \(0.431025\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.170431 | −0.00669000 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 19.5170 | 0.764932 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −10.6523 | −0.416858 | −0.208429 | − | 0.978037i | \(-0.566835\pi\) | ||||
−0.208429 | + | 0.978037i | \(0.566835\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17.5535 | −0.685874 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7.80164 | −0.304371 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −17.2770 | −0.673017 | −0.336509 | − | 0.941680i | \(-0.609246\pi\) | ||||
−0.336509 | + | 0.941680i | \(0.609246\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −42.7456 | −1.66261 | −0.831306 | − | 0.555815i | \(-0.812406\pi\) | ||||
−0.831306 | + | 0.555815i | \(0.812406\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −34.6795 | −1.34684 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.88865 | 0.112017 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 11.6683 | 0.451800 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 27.7017 | 1.07101 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −19.4483 | −0.750792 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.48147 | 0.0956535 | 0.0478268 | − | 0.998856i | \(-0.484770\pi\) | ||||
0.0478268 | + | 0.998856i | \(0.484770\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.37606 | 0.0529646 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 19.1210 | 0.734882 | 0.367441 | − | 0.930047i | \(-0.380234\pi\) | ||||
0.367441 | + | 0.930047i | \(0.380234\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 42.4487 | 1.62903 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 14.0651 | 0.538977 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −44.5689 | −1.70538 | −0.852690 | − | 0.522417i | \(-0.825030\pi\) | ||||
−0.852690 | + | 0.522417i | \(0.825030\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 28.5426 | 1.09056 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 10.9817 | 0.418977 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 49.5724 | 1.88856 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 25.0227 | 0.951908 | 0.475954 | − | 0.879470i | \(-0.342103\pi\) | ||||
0.475954 | + | 0.879470i | \(0.342103\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −20.1862 | −0.766809 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −21.2580 | −0.806360 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −14.7599 | −0.559071 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 16.3683 | 0.619107 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 25.2592 | 0.954028 | 0.477014 | − | 0.878896i | \(-0.341719\pi\) | ||||
0.477014 | + | 0.878896i | \(0.341719\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.14710 | 0.0432638 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.245877 | −0.00926026 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −65.5438 | −2.46503 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 9.60807 | 0.360839 | 0.180419 | − | 0.983590i | \(-0.442255\pi\) | ||||
0.180419 | + | 0.983590i | \(0.442255\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −14.5184 | −0.544481 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 17.3527 | 0.649863 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 59.6628 | 2.23126 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 27.8170 | 1.03884 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −18.8898 | −0.704472 | −0.352236 | − | 0.935911i | \(-0.614579\pi\) | ||||
−0.352236 | + | 0.935911i | \(0.614579\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 47.7315 | 1.77761 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −10.8561 | −0.403742 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.98981 | −0.185317 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.60379 | 0.0594811 | 0.0297406 | − | 0.999558i | \(-0.490532\pi\) | ||||
0.0297406 | + | 0.999558i | \(0.490532\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 17.0681 | 0.631288 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 38.2841 | 1.41405 | 0.707027 | − | 0.707186i | \(-0.250036\pi\) | ||||
0.707027 | + | 0.707186i | \(0.250036\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −11.6094 | −0.428220 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −63.0240 | −2.32152 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.0649 | −0.407028 | −0.203514 | − | 0.979072i | \(-0.565236\pi\) | ||||
−0.203514 | + | 0.979072i | \(0.565236\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.35594 | 0.0865474 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −12.2036 | −0.447706 | −0.223853 | − | 0.974623i | \(-0.571864\pi\) | ||||
−0.223853 | + | 0.974623i | \(0.571864\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 37.3143 | 1.36709 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 5.10465 | 0.186769 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.20275 | −0.0439475 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 20.0871 | 0.732987 | 0.366493 | − | 0.930421i | \(-0.380558\pi\) | ||||
0.366493 | + | 0.930421i | \(0.380558\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.31403 | 0.157212 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −7.11388 | −0.258901 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.813516 | −0.0295677 | −0.0147839 | − | 0.999891i | \(-0.504706\pi\) | ||||
−0.0147839 | + | 0.999891i | \(0.504706\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −17.9476 | −0.651457 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −40.9585 | −1.48474 | −0.742372 | − | 0.669988i | \(-0.766299\pi\) | ||||
−0.742372 | + | 0.669988i | \(0.766299\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 63.4588 | 2.29736 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 11.7488 | 0.424780 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −0.171701 | −0.00619978 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 23.5116 | 0.847852 | 0.423926 | − | 0.905697i | \(-0.360652\pi\) | ||||
0.423926 | + | 0.905697i | \(0.360652\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 26.7299 | 0.962654 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −7.38215 | −0.265517 | −0.132759 | − | 0.991148i | \(-0.542384\pi\) | ||||
−0.132759 | + | 0.991148i | \(0.542384\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.42063 | −0.266557 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −9.90189 | −0.355228 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 1.00271 | 0.0359257 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 19.4324 | 0.695347 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −3.62615 | −0.129588 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 47.2550 | 1.68660 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −42.1085 | −1.50101 | −0.750503 | − | 0.660867i | \(-0.770189\pi\) | ||||
−0.750503 | + | 0.660867i | \(0.770189\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 7.27645 | 0.259048 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −14.6131 | −0.519581 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −19.5933 | −0.695777 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −16.7943 | −0.595631 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −43.0432 | −1.52467 | −0.762335 | − | 0.647183i | \(-0.775947\pi\) | ||||
−0.762335 | + | 0.647183i | \(0.775947\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.797134 | 0.0282006 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 11.8290 | 0.417958 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −43.5141 | −1.53558 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −22.1699 | −0.781386 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −6.84338 | −0.240898 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −14.2585 | −0.501301 | −0.250650 | − | 0.968078i | \(-0.580644\pi\) | ||||
−0.250650 | + | 0.968078i | \(0.580644\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.1148 | 0.425407 | 0.212704 | − | 0.977117i | \(-0.431773\pi\) | ||||
0.212704 | + | 0.977117i | \(0.431773\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 24.3794 | 0.855022 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 36.4681 | 1.27742 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.15951 | −0.0405663 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −20.3366 | −0.710620 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −50.6102 | −1.76631 | −0.883155 | − | 0.469082i | \(-0.844585\pi\) | ||||
−0.883155 | + | 0.469082i | \(0.844585\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 32.3566 | 1.12788 | 0.563939 | − | 0.825816i | \(-0.309285\pi\) | ||||
0.563939 | + | 0.825816i | \(0.309285\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 7.67505 | 0.267211 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 11.8726 | 0.412849 | 0.206425 | − | 0.978462i | \(-0.433817\pi\) | ||||
0.206425 | + | 0.978462i | \(0.433817\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.3237 | 0.566947 | 0.283473 | − | 0.958980i | \(-0.408513\pi\) | ||||
0.283473 | + | 0.958980i | \(0.408513\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 6.73872 | 0.233764 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 37.6377 | 1.30407 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −30.9454 | −1.07091 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −5.39266 | −0.186398 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 48.5929 | 1.67761 | 0.838807 | − | 0.544428i | \(-0.183253\pi\) | ||||
0.838807 | + | 0.544428i | \(0.183253\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −15.8510 | −0.546587 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −14.6602 | −0.504923 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 35.3599 | 1.21642 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −72.7784 | −2.50070 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −10.3854 | −0.356425 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −8.80382 | −0.301791 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −29.7272 | −1.01784 | −0.508920 | − | 0.860814i | \(-0.669955\pi\) | ||||
−0.508920 | + | 0.860814i | \(0.669955\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.798150 | −0.0272961 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −6.14166 | −0.209795 | −0.104897 | − | 0.994483i | \(-0.533451\pi\) | ||||
−0.104897 | + | 0.994483i | \(0.533451\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −19.2930 | −0.658269 | −0.329135 | − | 0.944283i | \(-0.606757\pi\) | ||||
−0.329135 | + | 0.944283i | \(0.606757\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −8.65545 | −0.294977 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 21.5629 | 0.734009 | 0.367004 | − | 0.930219i | \(-0.380383\pi\) | ||||
0.367004 | + | 0.930219i | \(0.380383\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 25.3873 | 0.863193 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −21.0897 | −0.716244 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −80.9769 | −2.74695 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −63.4939 | −2.15141 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −11.7288 | −0.396961 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 43.9292 | 1.48508 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −43.7559 | −1.47753 | −0.738766 | − | 0.673962i | \(-0.764591\pi\) | ||||
−0.738766 | + | 0.673962i | \(0.764591\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −16.0050 | −0.539834 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 37.3214 | 1.25739 | 0.628696 | − | 0.777651i | \(-0.283589\pi\) | ||||
0.628696 | + | 0.777651i | \(0.283589\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.04779 | −0.102566 | −0.0512831 | − | 0.998684i | \(-0.516331\pi\) | ||||
−0.0512831 | + | 0.998684i | \(0.516331\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.0581695 | 0.00195535 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 10.4385 | 0.350490 | 0.175245 | − | 0.984525i | \(-0.443928\pi\) | ||||
0.175245 | + | 0.984525i | \(0.443928\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 21.8027 | 0.731239 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 5.57755 | 0.186855 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.0541528 | −0.00181216 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 45.8233 | 1.53170 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −18.0814 | −0.603721 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 19.5546 | 0.652183 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 54.4470 | 1.81389 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 10.0090 | 0.333080 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 13.2235 | 0.439564 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −45.4241 | −1.50828 | −0.754141 | − | 0.656713i | \(-0.771946\pi\) | ||||
−0.754141 | + | 0.656713i | \(0.771946\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 18.1101 | 0.600675 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 23.1594 | 0.767305 | 0.383652 | − | 0.923478i | \(-0.374666\pi\) | ||||
0.383652 | + | 0.923478i | \(0.374666\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 28.4715 | 0.942268 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 6.63786 | 0.219441 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 33.3722 | 1.10205 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.92326 | 0.0634425 | 0.0317213 | − | 0.999497i | \(-0.489901\pi\) | ||||
0.0317213 | + | 0.999497i | \(0.489901\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −15.5437 | −0.512182 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 19.5773 | 0.644395 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.76483 | 0.123787 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −13.1885 | −0.433167 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −32.2206 | −1.05712 | −0.528561 | − | 0.848895i | \(-0.677268\pi\) | ||||
−0.528561 | + | 0.848895i | \(0.677268\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.55690 | −0.0837990 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −5.59429 | −0.183149 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 65.5297 | 2.14305 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.72064 | −0.219554 | −0.109777 | − | 0.993956i | \(-0.535014\pi\) | ||||
−0.109777 | + | 0.993956i | \(0.535014\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −24.5636 | −0.801602 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 52.5431 | 1.71286 | 0.856428 | − | 0.516266i | \(-0.172678\pi\) | ||||
0.856428 | + | 0.516266i | \(0.172678\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.69561 | −0.250603 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 6.88970 | 0.224122 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −9.59653 | −0.311845 | −0.155923 | − | 0.987769i | \(-0.549835\pi\) | ||||
−0.155923 | + | 0.987769i | \(0.549835\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −43.8385 | −1.42306 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 3.67825 | 0.119275 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 21.5868 | 0.699264 | 0.349632 | − | 0.936887i | \(-0.386307\pi\) | ||||
0.349632 | + | 0.936887i | \(0.386307\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −23.9620 | −0.775391 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −20.2251 | −0.653783 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −54.2642 | −1.75228 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.91921 | −0.0619100 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.332326 | 0.0107091 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −9.72654 | −0.313108 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 34.0890 | 1.09623 | 0.548114 | − | 0.836404i | \(-0.315346\pi\) | ||||
0.548114 | + | 0.836404i | \(0.315346\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.58760 | 0.0831258 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −10.3510 | −0.332179 | −0.166089 | − | 0.986111i | \(-0.553114\pi\) | ||||
−0.166089 | + | 0.986111i | \(0.553114\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 40.4149 | 1.29564 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 7.73227 | 0.247631 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −57.8074 | −1.84942 | −0.924711 | − | 0.380670i | \(-0.875693\pi\) | ||||
−0.924711 | + | 0.380670i | \(0.875693\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 65.9769 | 2.10863 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −17.5340 | −0.559819 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −61.7179 | −1.96849 | −0.984247 | − | 0.176797i | \(-0.943426\pi\) | ||||
−0.984247 | + | 0.176797i | \(0.943426\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.70578 | −0.149939 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.467452 | 0.0148792 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.89909 | 0.282974 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 25.5848 | 0.812727 | 0.406364 | − | 0.913711i | \(-0.366797\pi\) | ||||
0.406364 | + | 0.913711i | \(0.366797\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −25.4670 | −0.808170 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 47.7554 | 1.51395 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −21.9572 | −0.695391 | −0.347695 | − | 0.937608i | \(-0.613036\pi\) | ||||
−0.347695 | + | 0.937608i | \(0.613036\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.73595 | 0.0865616 |
(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 | 6036.2.a.i.1.18 | ✓ | 26 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6036.2.a.i.1.18 | ✓ | 26 | 1.1 | even | 1 | trivial |