Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [936,2,Mod(181,936)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(936, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("936.181");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 936 = 2^{3} \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 936.m (of order \(2\), degree \(1\), minimal) |
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: | no |
Analytic conductor: | \(7.47399762919\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(i)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 104) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 181.1 | ||
Root | \(1.00000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 936.181 |
Dual form | 936.2.m.c.181.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/936\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) | \(469\) | \(703\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | − | 1.00000i | 0.707107 | − | 0.707107i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | − | 2.00000i | − | 1.00000i | ||||||
\(5\) | −1.00000 | −0.447214 | −0.223607 | − | 0.974679i | \(-0.571783\pi\) | ||||
−0.223607 | + | 0.974679i | \(0.571783\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 3.00000i | − | 1.13389i | −0.823754 | − | 0.566947i | \(-0.808125\pi\) | ||
0.823754 | − | 0.566947i | \(-0.191875\pi\) | |||||||
\(8\) | −2.00000 | − | 2.00000i | −0.707107 | − | 0.707107i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.00000 | + | 1.00000i | −0.316228 | + | 0.316228i | ||||
\(11\) | −2.00000 | −0.603023 | −0.301511 | − | 0.953463i | \(-0.597491\pi\) | ||||
−0.301511 | + | 0.953463i | \(0.597491\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.00000 | + | 2.00000i | −0.832050 | + | 0.554700i | ||||
\(14\) | −3.00000 | − | 3.00000i | −0.801784 | − | 0.801784i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.00000 | −1.00000 | ||||||||
\(17\) | −3.00000 | −0.727607 | −0.363803 | − | 0.931476i | \(-0.618522\pi\) | ||||
−0.363803 | + | 0.931476i | \(0.618522\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(20\) | 2.00000i | 0.447214i | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.00000 | + | 2.00000i | −0.426401 | + | 0.426401i | ||||
\(23\) | 6.00000 | 1.25109 | 0.625543 | − | 0.780189i | \(-0.284877\pi\) | ||||
0.625543 | + | 0.780189i | \(0.284877\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.00000 | −0.800000 | ||||||||
\(26\) | −1.00000 | + | 5.00000i | −0.196116 | + | 0.980581i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.00000 | −1.13389 | ||||||||
\(29\) | − | 6.00000i | − | 1.11417i | −0.830455 | − | 0.557086i | \(-0.811919\pi\) | ||
0.830455 | − | 0.557086i | \(-0.188081\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(32\) | −4.00000 | + | 4.00000i | −0.707107 | + | 0.707107i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.00000 | + | 3.00000i | −0.514496 | + | 0.514496i | ||||
\(35\) | 3.00000i | 0.507093i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.00000 | 0.493197 | 0.246598 | − | 0.969118i | \(-0.420687\pi\) | ||||
0.246598 | + | 0.969118i | \(0.420687\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.00000 | + | 2.00000i | 0.316228 | + | 0.316228i | ||||
\(41\) | − | 10.0000i | − | 1.56174i | −0.624695 | − | 0.780869i | \(-0.714777\pi\) | ||
0.624695 | − | 0.780869i | \(-0.285223\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 9.00000i | 1.37249i | 0.727372 | + | 0.686244i | \(0.240742\pi\) | ||||
−0.727372 | + | 0.686244i | \(0.759258\pi\) | |||||||
\(44\) | 4.00000i | 0.603023i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.00000 | − | 6.00000i | 0.884652 | − | 0.884652i | ||||
\(47\) | − | 7.00000i | − | 1.02105i | −0.859861 | − | 0.510527i | \(-0.829450\pi\) | ||
0.859861 | − | 0.510527i | \(-0.170550\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.00000 | −0.285714 | ||||||||
\(50\) | −4.00000 | + | 4.00000i | −0.565685 | + | 0.565685i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.00000 | + | 6.00000i | 0.554700 | + | 0.832050i | ||||
\(53\) | 6.00000i | 0.824163i | 0.911147 | + | 0.412082i | \(0.135198\pi\) | ||||
−0.911147 | + | 0.412082i | \(0.864802\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.00000 | 0.269680 | ||||||||
\(56\) | −6.00000 | + | 6.00000i | −0.801784 | + | 0.801784i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.00000 | − | 6.00000i | −0.787839 | − | 0.787839i | ||||
\(59\) | −10.0000 | −1.30189 | −0.650945 | − | 0.759125i | \(-0.725627\pi\) | ||||
−0.650945 | + | 0.759125i | \(0.725627\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 10.0000i | − | 1.28037i | −0.768221 | − | 0.640184i | \(-0.778858\pi\) | ||
0.768221 | − | 0.640184i | \(-0.221142\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000i | 1.00000i | ||||||||
\(65\) | 3.00000 | − | 2.00000i | 0.372104 | − | 0.248069i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.0000 | −1.46603 | −0.733017 | − | 0.680211i | \(-0.761888\pi\) | ||||
−0.733017 | + | 0.680211i | \(0.761888\pi\) | |||||||
\(68\) | 6.00000i | 0.727607i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.00000 | + | 3.00000i | 0.358569 | + | 0.358569i | ||||
\(71\) | − | 5.00000i | − | 0.593391i | −0.954972 | − | 0.296695i | \(-0.904115\pi\) | ||
0.954972 | − | 0.296695i | \(-0.0958846\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 6.00000i | − | 0.702247i | −0.936329 | − | 0.351123i | \(-0.885800\pi\) | ||
0.936329 | − | 0.351123i | \(-0.114200\pi\) | |||||||
\(74\) | 3.00000 | − | 3.00000i | 0.348743 | − | 0.348743i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.00000i | 0.683763i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(80\) | 4.00000 | 0.447214 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −10.0000 | − | 10.0000i | −1.10432 | − | 1.10432i | ||||
\(83\) | 16.0000 | 1.75623 | 0.878114 | − | 0.478451i | \(-0.158802\pi\) | ||||
0.878114 | + | 0.478451i | \(0.158802\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.00000 | 0.325396 | ||||||||
\(86\) | 9.00000 | + | 9.00000i | 0.970495 | + | 0.970495i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.00000 | + | 4.00000i | 0.426401 | + | 0.426401i | ||||
\(89\) | 4.00000i | 0.423999i | 0.977270 | + | 0.212000i | \(0.0679975\pi\) | ||||
−0.977270 | + | 0.212000i | \(0.932002\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.00000 | + | 9.00000i | 0.628971 | + | 0.943456i | ||||
\(92\) | − | 12.0000i | − | 1.25109i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.00000 | − | 7.00000i | −0.721995 | − | 0.721995i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 18.0000i | − | 1.82762i | −0.406138 | − | 0.913812i | \(-0.633125\pi\) | ||
0.406138 | − | 0.913812i | \(-0.366875\pi\) | |||||||
\(98\) | −2.00000 | + | 2.00000i | −0.202031 | + | 0.202031i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.00000i | 0.800000i | ||||||||
\(101\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.00000 | 0.394132 | 0.197066 | − | 0.980390i | \(-0.436859\pi\) | ||||
0.197066 | + | 0.980390i | \(0.436859\pi\) | |||||||
\(104\) | 10.0000 | + | 2.00000i | 0.980581 | + | 0.196116i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.00000 | + | 6.00000i | 0.582772 | + | 0.582772i | ||||
\(107\) | − | 12.0000i | − | 1.16008i | −0.814587 | − | 0.580042i | \(-0.803036\pi\) | ||
0.814587 | − | 0.580042i | \(-0.196964\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 15.0000 | 1.43674 | 0.718370 | − | 0.695662i | \(-0.244889\pi\) | ||||
0.718370 | + | 0.695662i | \(0.244889\pi\) | |||||||
\(110\) | 2.00000 | − | 2.00000i | 0.190693 | − | 0.190693i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 12.0000i | 1.13389i | ||||||||
\(113\) | 6.00000 | 0.564433 | 0.282216 | − | 0.959351i | \(-0.408930\pi\) | ||||
0.282216 | + | 0.959351i | \(0.408930\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.00000 | −0.559503 | ||||||||
\(116\) | −12.0000 | −1.11417 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −10.0000 | + | 10.0000i | −0.920575 | + | 0.920575i | ||||
\(119\) | 9.00000i | 0.825029i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.00000 | −0.636364 | ||||||||
\(122\) | −10.0000 | − | 10.0000i | −0.905357 | − | 0.905357i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.00000 | 0.804984 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 18.0000 | 1.59724 | 0.798621 | − | 0.601834i | \(-0.205563\pi\) | ||||
0.798621 | + | 0.601834i | \(0.205563\pi\) | |||||||
\(128\) | 8.00000 | + | 8.00000i | 0.707107 | + | 0.707107i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.00000 | − | 5.00000i | 0.0877058 | − | 0.438529i | ||||
\(131\) | 15.0000i | 1.31056i | 0.755388 | + | 0.655278i | \(0.227449\pi\) | ||||
−0.755388 | + | 0.655278i | \(0.772551\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.0000 | + | 12.0000i | −1.03664 | + | 1.03664i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.00000 | + | 6.00000i | 0.514496 | + | 0.514496i | ||||
\(137\) | − | 2.00000i | − | 0.170872i | −0.996344 | − | 0.0854358i | \(-0.972772\pi\) | ||
0.996344 | − | 0.0854358i | \(-0.0272282\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 9.00000i | − | 0.763370i | −0.924292 | − | 0.381685i | \(-0.875344\pi\) | ||
0.924292 | − | 0.381685i | \(-0.124656\pi\) | |||||||
\(140\) | 6.00000 | 0.507093 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.00000 | − | 5.00000i | −0.419591 | − | 0.419591i | ||||
\(143\) | 6.00000 | − | 4.00000i | 0.501745 | − | 0.334497i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.00000i | 0.498273i | ||||||||
\(146\) | −6.00000 | − | 6.00000i | −0.496564 | − | 0.496564i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 6.00000i | − | 0.493197i | ||||||
\(149\) | 10.0000 | 0.819232 | 0.409616 | − | 0.912258i | \(-0.365663\pi\) | ||||
0.409616 | + | 0.912258i | \(0.365663\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.0000i | 1.22068i | 0.792139 | + | 0.610341i | \(0.208968\pi\) | ||||
−0.792139 | + | 0.610341i | \(0.791032\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.00000 | + | 6.00000i | 0.483494 | + | 0.483494i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 18.0000i | − | 1.43656i | −0.695756 | − | 0.718278i | \(-0.744931\pi\) | ||
0.695756 | − | 0.718278i | \(-0.255069\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 4.00000 | − | 4.00000i | 0.316228 | − | 0.316228i | ||||
\(161\) | − | 18.0000i | − | 1.41860i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.00000 | −0.469956 | −0.234978 | − | 0.972001i | \(-0.575502\pi\) | ||||
−0.234978 | + | 0.972001i | \(0.575502\pi\) | |||||||
\(164\) | −20.0000 | −1.56174 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 16.0000 | − | 16.0000i | 1.24184 | − | 1.24184i | ||||
\(167\) | 8.00000i | 0.619059i | 0.950890 | + | 0.309529i | \(0.100171\pi\) | ||||
−0.950890 | + | 0.309529i | \(0.899829\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.00000 | − | 12.0000i | 0.384615 | − | 0.923077i | ||||
\(170\) | 3.00000 | − | 3.00000i | 0.230089 | − | 0.230089i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 18.0000 | 1.37249 | ||||||||
\(173\) | − | 24.0000i | − | 1.82469i | −0.409426 | − | 0.912343i | \(-0.634271\pi\) | ||
0.409426 | − | 0.912343i | \(-0.365729\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.0000i | 0.907115i | ||||||||
\(176\) | 8.00000 | 0.603023 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.00000 | + | 4.00000i | 0.299813 | + | 0.299813i | ||||
\(179\) | 9.00000i | 0.672692i | 0.941739 | + | 0.336346i | \(0.109191\pi\) | ||||
−0.941739 | + | 0.336346i | \(0.890809\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(182\) | 15.0000 | + | 3.00000i | 1.11187 | + | 0.222375i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −12.0000 | − | 12.0000i | −0.884652 | − | 0.884652i | ||||
\(185\) | −3.00000 | −0.220564 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.00000 | 0.438763 | ||||||||
\(188\) | −14.0000 | −1.02105 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.0000 | 1.30243 | 0.651217 | − | 0.758891i | \(-0.274259\pi\) | ||||
0.651217 | + | 0.758891i | \(0.274259\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 24.0000i | 1.72756i | 0.503871 | + | 0.863779i | \(0.331909\pi\) | ||||
−0.503871 | + | 0.863779i | \(0.668091\pi\) | |||||||
\(194\) | −18.0000 | − | 18.0000i | −1.29232 | − | 1.29232i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.00000i | 0.285714i | ||||||||
\(197\) | −23.0000 | −1.63868 | −0.819341 | − | 0.573306i | \(-0.805660\pi\) | ||||
−0.819341 | + | 0.573306i | \(0.805660\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(200\) | 8.00000 | + | 8.00000i | 0.565685 | + | 0.565685i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −18.0000 | −1.26335 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.0000i | 0.698430i | ||||||||
\(206\) | 4.00000 | − | 4.00000i | 0.278693 | − | 0.278693i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 12.0000 | − | 8.00000i | 0.832050 | − | 0.554700i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.00000i | 0.344214i | 0.985078 | + | 0.172107i | \(0.0550575\pi\) | ||||
−0.985078 | + | 0.172107i | \(0.944942\pi\) | |||||||
\(212\) | 12.0000 | 0.824163 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −12.0000 | − | 12.0000i | −0.820303 | − | 0.820303i | ||||
\(215\) | − | 9.00000i | − | 0.613795i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 15.0000 | − | 15.0000i | 1.01593 | − | 1.01593i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | − | 4.00000i | − | 0.269680i | ||||||
\(221\) | 9.00000 | − | 6.00000i | 0.605406 | − | 0.403604i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 21.0000i | − | 1.40626i | −0.711059 | − | 0.703132i | \(-0.751784\pi\) | ||
0.711059 | − | 0.703132i | \(-0.248216\pi\) | |||||||
\(224\) | 12.0000 | + | 12.0000i | 0.801784 | + | 0.801784i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.00000 | − | 6.00000i | 0.399114 | − | 0.399114i | ||||
\(227\) | 2.00000 | 0.132745 | 0.0663723 | − | 0.997795i | \(-0.478857\pi\) | ||||
0.0663723 | + | 0.997795i | \(0.478857\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −15.0000 | −0.991228 | −0.495614 | − | 0.868543i | \(-0.665057\pi\) | ||||
−0.495614 | + | 0.868543i | \(0.665057\pi\) | |||||||
\(230\) | −6.00000 | + | 6.00000i | −0.395628 | + | 0.395628i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −12.0000 | + | 12.0000i | −0.787839 | + | 0.787839i | ||||
\(233\) | −9.00000 | −0.589610 | −0.294805 | − | 0.955557i | \(-0.595255\pi\) | ||||
−0.294805 | + | 0.955557i | \(0.595255\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.00000i | 0.456630i | ||||||||
\(236\) | 20.0000i | 1.30189i | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.00000 | + | 9.00000i | 0.583383 | + | 0.583383i | ||||
\(239\) | 19.0000i | 1.22901i | 0.788914 | + | 0.614504i | \(0.210644\pi\) | ||||
−0.788914 | + | 0.614504i | \(0.789356\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(242\) | −7.00000 | + | 7.00000i | −0.449977 | + | 0.449977i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −20.0000 | −1.28037 | ||||||||
\(245\) | 2.00000 | 0.127775 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.00000 | − | 9.00000i | 0.569210 | − | 0.569210i | ||||
\(251\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.0000 | −0.754434 | ||||||||
\(254\) | 18.0000 | − | 18.0000i | 1.12942 | − | 1.12942i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 16.0000 | 1.00000 | ||||||||
\(257\) | −3.00000 | −0.187135 | −0.0935674 | − | 0.995613i | \(-0.529827\pi\) | ||||
−0.0935674 | + | 0.995613i | \(0.529827\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − | 9.00000i | − | 0.559233i | ||||||
\(260\) | −4.00000 | − | 6.00000i | −0.248069 | − | 0.372104i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 15.0000 | + | 15.0000i | 0.926703 | + | 0.926703i | ||||
\(263\) | 6.00000 | 0.369976 | 0.184988 | − | 0.982741i | \(-0.440775\pi\) | ||||
0.184988 | + | 0.982741i | \(0.440775\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 6.00000i | − | 0.368577i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 24.0000i | 1.46603i | ||||||||
\(269\) | − | 6.00000i | − | 0.365826i | −0.983129 | − | 0.182913i | \(-0.941447\pi\) | ||
0.983129 | − | 0.182913i | \(-0.0585527\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.0000i | 0.911185i | 0.890188 | + | 0.455593i | \(0.150573\pi\) | ||||
−0.890188 | + | 0.455593i | \(0.849427\pi\) | |||||||
\(272\) | 12.0000 | 0.727607 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.00000 | − | 2.00000i | −0.120824 | − | 0.120824i | ||||
\(275\) | 8.00000 | 0.482418 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 18.0000i | − | 1.08152i | −0.841178 | − | 0.540758i | \(-0.818138\pi\) | ||
0.841178 | − | 0.540758i | \(-0.181862\pi\) | |||||||
\(278\) | −9.00000 | − | 9.00000i | −0.539784 | − | 0.539784i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.00000 | − | 6.00000i | 0.358569 | − | 0.358569i | ||||
\(281\) | 20.0000i | 1.19310i | 0.802576 | + | 0.596550i | \(0.203462\pi\) | ||||
−0.802576 | + | 0.596550i | \(0.796538\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.00000i | 0.237775i | 0.992908 | + | 0.118888i | \(0.0379328\pi\) | ||||
−0.992908 | + | 0.118888i | \(0.962067\pi\) | |||||||
\(284\) | −10.0000 | −0.593391 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.00000 | − | 10.0000i | 0.118262 | − | 0.591312i | ||||
\(287\) | −30.0000 | −1.77084 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.00000 | −0.470588 | ||||||||
\(290\) | 6.00000 | + | 6.00000i | 0.352332 | + | 0.352332i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −12.0000 | −0.702247 | ||||||||
\(293\) | 1.00000 | 0.0584206 | 0.0292103 | − | 0.999573i | \(-0.490701\pi\) | ||||
0.0292103 | + | 0.999573i | \(0.490701\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.0000 | 0.582223 | ||||||||
\(296\) | −6.00000 | − | 6.00000i | −0.348743 | − | 0.348743i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.0000 | − | 10.0000i | 0.579284 | − | 0.579284i | ||||
\(299\) | −18.0000 | + | 12.0000i | −1.04097 | + | 0.693978i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 27.0000 | 1.55625 | ||||||||
\(302\) | 15.0000 | + | 15.0000i | 0.863153 | + | 0.863153i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 10.0000i | 0.572598i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 18.0000 | 1.02731 | 0.513657 | − | 0.857996i | \(-0.328290\pi\) | ||||
0.513657 | + | 0.857996i | \(0.328290\pi\) | |||||||
\(308\) | 12.0000 | 0.683763 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.0000 | −0.680458 | −0.340229 | − | 0.940343i | \(-0.610505\pi\) | ||||
−0.340229 | + | 0.940343i | \(0.610505\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.00000 | 0.508710 | 0.254355 | − | 0.967111i | \(-0.418137\pi\) | ||||
0.254355 | + | 0.967111i | \(0.418137\pi\) | |||||||
\(314\) | −18.0000 | − | 18.0000i | −1.01580 | − | 1.01580i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 2.00000 | 0.112331 | 0.0561656 | − | 0.998421i | \(-0.482113\pi\) | ||||
0.0561656 | + | 0.998421i | \(0.482113\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.0000i | 0.671871i | ||||||||
\(320\) | − | 8.00000i | − | 0.447214i | ||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −18.0000 | − | 18.0000i | −1.00310 | − | 1.00310i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.0000 | − | 8.00000i | 0.665640 | − | 0.443760i | ||||
\(326\) | −6.00000 | + | 6.00000i | −0.332309 | + | 0.332309i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −20.0000 | + | 20.0000i | −1.10432 | + | 1.10432i | ||||
\(329\) | −21.0000 | −1.15777 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.0000 | 0.659580 | 0.329790 | − | 0.944054i | \(-0.393022\pi\) | ||||
0.329790 | + | 0.944054i | \(0.393022\pi\) | |||||||
\(332\) | − | 32.0000i | − | 1.75623i | ||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 8.00000 | + | 8.00000i | 0.437741 | + | 0.437741i | ||||
\(335\) | 12.0000 | 0.655630 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −27.0000 | −1.47078 | −0.735392 | − | 0.677642i | \(-0.763002\pi\) | ||||
−0.735392 | + | 0.677642i | \(0.763002\pi\) | |||||||
\(338\) | −7.00000 | − | 17.0000i | −0.380750 | − | 0.924678i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | − | 6.00000i | − | 0.325396i | ||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 15.0000i | − | 0.809924i | ||||||
\(344\) | 18.0000 | − | 18.0000i | 0.970495 | − | 0.970495i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −24.0000 | − | 24.0000i | −1.29025 | − | 1.29025i | ||||
\(347\) | − | 27.0000i | − | 1.44944i | −0.689046 | − | 0.724718i | \(-0.741970\pi\) | ||
0.689046 | − | 0.724718i | \(-0.258030\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.0000 | −0.802932 | −0.401466 | − | 0.915874i | \(-0.631499\pi\) | ||||
−0.401466 | + | 0.915874i | \(0.631499\pi\) | |||||||
\(350\) | 12.0000 | + | 12.0000i | 0.641427 | + | 0.641427i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 8.00000 | − | 8.00000i | 0.426401 | − | 0.426401i | ||||
\(353\) | 16.0000i | 0.851594i | 0.904819 | + | 0.425797i | \(0.140006\pi\) | ||||
−0.904819 | + | 0.425797i | \(0.859994\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.00000i | 0.265372i | ||||||||
\(356\) | 8.00000 | 0.423999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.00000 | + | 9.00000i | 0.475665 | + | 0.475665i | ||||
\(359\) | 4.00000i | 0.211112i | 0.994413 | + | 0.105556i | \(0.0336622\pi\) | ||||
−0.994413 | + | 0.105556i | \(0.966338\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −19.0000 | −1.00000 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 18.0000 | − | 12.0000i | 0.943456 | − | 0.628971i | ||||
\(365\) | 6.00000i | 0.314054i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 28.0000 | 1.46159 | 0.730794 | − | 0.682598i | \(-0.239150\pi\) | ||||
0.730794 | + | 0.682598i | \(0.239150\pi\) | |||||||
\(368\) | −24.0000 | −1.25109 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3.00000 | + | 3.00000i | −0.155963 | + | 0.155963i | ||||
\(371\) | 18.0000 | 0.934513 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.00000i | 0.207112i | 0.994624 | + | 0.103556i | \(0.0330221\pi\) | ||||
−0.994624 | + | 0.103556i | \(0.966978\pi\) | |||||||
\(374\) | 6.00000 | − | 6.00000i | 0.310253 | − | 0.310253i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −14.0000 | + | 14.0000i | −0.721995 | + | 0.721995i | ||||
\(377\) | 12.0000 | + | 18.0000i | 0.618031 | + | 0.927047i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.0000 | −1.54100 | −0.770498 | − | 0.637442i | \(-0.779993\pi\) | ||||
−0.770498 | + | 0.637442i | \(0.779993\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 18.0000 | − | 18.0000i | 0.920960 | − | 0.920960i | ||||
\(383\) | 1.00000i | 0.0510976i | 0.999674 | + | 0.0255488i | \(0.00813332\pi\) | ||||
−0.999674 | + | 0.0255488i | \(0.991867\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | − | 6.00000i | − | 0.305788i | ||||||
\(386\) | 24.0000 | + | 24.0000i | 1.22157 | + | 1.22157i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −36.0000 | −1.82762 | ||||||||
\(389\) | − | 6.00000i | − | 0.304212i | −0.988364 | − | 0.152106i | \(-0.951394\pi\) | ||
0.988364 | − | 0.152106i | \(-0.0486055\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.0000 | −0.910299 | ||||||||
\(392\) | 4.00000 | + | 4.00000i | 0.202031 | + | 0.202031i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −23.0000 | + | 23.0000i | −1.15872 | + | 1.15872i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 18.0000 | 0.903394 | 0.451697 | − | 0.892171i | \(-0.350819\pi\) | ||||
0.451697 | + | 0.892171i | \(0.350819\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 16.0000 | 0.800000 | ||||||||
\(401\) | − | 10.0000i | − | 0.499376i | −0.968326 | − | 0.249688i | \(-0.919672\pi\) | ||
0.968326 | − | 0.249688i | \(-0.0803281\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −18.0000 | + | 18.0000i | −0.893325 | + | 0.893325i | ||||
\(407\) | −6.00000 | −0.297409 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.00000i | 0.296681i | 0.988936 | + | 0.148340i | \(0.0473931\pi\) | ||||
−0.988936 | + | 0.148340i | \(0.952607\pi\) | |||||||
\(410\) | 10.0000 | + | 10.0000i | 0.493865 | + | 0.493865i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | − | 8.00000i | − | 0.394132i | ||||||
\(413\) | 30.0000i | 1.47620i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.0000 | −0.785409 | ||||||||
\(416\) | 4.00000 | − | 20.0000i | 0.196116 | − | 0.980581i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 9.00000i | 0.439679i | 0.975536 | + | 0.219839i | \(0.0705533\pi\) | ||||
−0.975536 | + | 0.219839i | \(0.929447\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.00000 | −0.146211 | −0.0731055 | − | 0.997324i | \(-0.523291\pi\) | ||||
−0.0731055 | + | 0.997324i | \(0.523291\pi\) | |||||||
\(422\) | 5.00000 | + | 5.00000i | 0.243396 | + | 0.243396i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 12.0000 | − | 12.0000i | 0.582772 | − | 0.582772i | ||||
\(425\) | 12.0000 | 0.582086 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −30.0000 | −1.45180 | ||||||||
\(428\) | −24.0000 | −1.16008 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −9.00000 | − | 9.00000i | −0.434019 | − | 0.434019i | ||||
\(431\) | − | 5.00000i | − | 0.240842i | −0.992723 | − | 0.120421i | \(-0.961576\pi\) | ||
0.992723 | − | 0.120421i | \(-0.0384244\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.00000 | 0.432512 | 0.216256 | − | 0.976337i | \(-0.430615\pi\) | ||||
0.216256 | + | 0.976337i | \(0.430615\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | − | 30.0000i | − | 1.43674i | ||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.0000 | −0.477274 | −0.238637 | − | 0.971109i | \(-0.576701\pi\) | ||||
−0.238637 | + | 0.971109i | \(0.576701\pi\) | |||||||
\(440\) | −4.00000 | − | 4.00000i | −0.190693 | − | 0.190693i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.00000 | − | 15.0000i | 0.142695 | − | 0.713477i | ||||
\(443\) | − | 9.00000i | − | 0.427603i | −0.976877 | − | 0.213801i | \(-0.931415\pi\) | ||
0.976877 | − | 0.213801i | \(-0.0685846\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | − | 4.00000i | − | 0.189618i | ||||||
\(446\) | −21.0000 | − | 21.0000i | −0.994379 | − | 0.994379i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 24.0000 | 1.13389 | ||||||||
\(449\) | 14.0000i | 0.660701i | 0.943858 | + | 0.330350i | \(0.107167\pi\) | ||||
−0.943858 | + | 0.330350i | \(0.892833\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 20.0000i | 0.941763i | ||||||||
\(452\) | − | 12.0000i | − | 0.564433i | ||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.00000 | − | 2.00000i | 0.0938647 | − | 0.0938647i | ||||
\(455\) | −6.00000 | − | 9.00000i | −0.281284 | − | 0.421927i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 12.0000i | 0.561336i | 0.959805 | + | 0.280668i | \(0.0905560\pi\) | ||||
−0.959805 | + | 0.280668i | \(0.909444\pi\) | |||||||
\(458\) | −15.0000 | + | 15.0000i | −0.700904 | + | 0.700904i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 12.0000i | 0.559503i | ||||||||
\(461\) | −7.00000 | −0.326023 | −0.163011 | − | 0.986624i | \(-0.552121\pi\) | ||||
−0.163011 | + | 0.986624i | \(0.552121\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.0000i | 1.11537i | 0.830051 | + | 0.557687i | \(0.188311\pi\) | ||||
−0.830051 | + | 0.557687i | \(0.811689\pi\) | |||||||
\(464\) | 24.0000i | 1.11417i | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.00000 | + | 9.00000i | −0.416917 | + | 0.416917i | ||||
\(467\) | − | 12.0000i | − | 0.555294i | −0.960683 | − | 0.277647i | \(-0.910445\pi\) | ||
0.960683 | − | 0.277647i | \(-0.0895545\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 36.0000i | 1.66233i | ||||||||
\(470\) | 7.00000 | + | 7.00000i | 0.322886 | + | 0.322886i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 20.0000 | + | 20.0000i | 0.920575 | + | 0.920575i | ||||
\(473\) | − | 18.0000i | − | 0.827641i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 18.0000 | 0.825029 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 19.0000 | + | 19.0000i | 0.869040 | + | 0.869040i | ||||
\(479\) | 29.0000i | 1.32504i | 0.749043 | + | 0.662522i | \(0.230514\pi\) | ||||
−0.749043 | + | 0.662522i | \(0.769486\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −9.00000 | + | 6.00000i | −0.410365 | + | 0.273576i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 14.0000i | 0.636364i | ||||||||
\(485\) | 18.0000i | 0.817338i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.0000i | 0.543772i | 0.962329 | + | 0.271886i | \(0.0876473\pi\) | ||||
−0.962329 | + | 0.271886i | \(0.912353\pi\) | |||||||
\(488\) | −20.0000 | + | 20.0000i | −0.905357 | + | 0.905357i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.00000 | − | 2.00000i | 0.0903508 | − | 0.0903508i | ||||
\(491\) | 15.0000i | 0.676941i | 0.940977 | + | 0.338470i | \(0.109909\pi\) | ||||
−0.940977 | + | 0.338470i | \(0.890091\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 18.0000i | 0.810679i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −15.0000 | −0.672842 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 30.0000 | 1.34298 | 0.671492 | − | 0.741012i | \(-0.265654\pi\) | ||||
0.671492 | + | 0.741012i | \(0.265654\pi\) | |||||||
\(500\) | − | 18.0000i | − | 0.804984i | ||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −24.0000 | −1.07011 | −0.535054 | − | 0.844818i | \(-0.679709\pi\) | ||||
−0.535054 | + | 0.844818i | \(0.679709\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −12.0000 | + | 12.0000i | −0.533465 | + | 0.533465i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 36.0000i | − | 1.59724i | ||||||
\(509\) | 10.0000 | 0.443242 | 0.221621 | − | 0.975133i | \(-0.428865\pi\) | ||||
0.221621 | + | 0.975133i | \(0.428865\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −18.0000 | −0.796273 | ||||||||
\(512\) | 16.0000 | − | 16.0000i | 0.707107 | − | 0.707107i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.00000 | + | 3.00000i | −0.132324 | + | 0.132324i | ||||
\(515\) | −4.00000 | −0.176261 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 14.0000i | 0.615719i | ||||||||
\(518\) | −9.00000 | − | 9.00000i | −0.395437 | − | 0.395437i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −10.0000 | − | 2.00000i | −0.438529 | − | 0.0877058i | ||||
\(521\) | 3.00000 | 0.131432 | 0.0657162 | − | 0.997838i | \(-0.479067\pi\) | ||||
0.0657162 | + | 0.997838i | \(0.479067\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 36.0000i | − | 1.57417i | −0.616844 | − | 0.787085i | \(-0.711589\pi\) | ||
0.616844 | − | 0.787085i | \(-0.288411\pi\) | |||||||
\(524\) | 30.0000 | 1.31056 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.00000 | − | 6.00000i | 0.261612 | − | 0.261612i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.0000 | 0.565217 | ||||||||
\(530\) | −6.00000 | − | 6.00000i | −0.260623 | − | 0.260623i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 20.0000 | + | 30.0000i | 0.866296 | + | 1.29944i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 12.0000i | 0.518805i | ||||||||
\(536\) | 24.0000 | + | 24.0000i | 1.03664 | + | 1.03664i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.00000 | − | 6.00000i | −0.258678 | − | 0.258678i | ||||
\(539\) | 4.00000 | 0.172292 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −33.0000 | −1.41878 | −0.709390 | − | 0.704816i | \(-0.751030\pi\) | ||||
−0.709390 | + | 0.704816i | \(0.751030\pi\) | |||||||
\(542\) | 15.0000 | + | 15.0000i | 0.644305 | + | 0.644305i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 12.0000 | − | 12.0000i | 0.514496 | − | 0.514496i | ||||
\(545\) | −15.0000 | −0.642529 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 27.0000i | 1.15444i | 0.816590 | + | 0.577218i | \(0.195862\pi\) | ||||
−0.816590 | + | 0.577218i | \(0.804138\pi\) | |||||||
\(548\) | −4.00000 | −0.170872 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 8.00000 | − | 8.00000i | 0.341121 | − | 0.341121i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −18.0000 | − | 18.0000i | −0.764747 | − | 0.764747i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −18.0000 | −0.763370 | ||||||||
\(557\) | −23.0000 | −0.974541 | −0.487271 | − | 0.873251i | \(-0.662007\pi\) | ||||
−0.487271 | + | 0.873251i | \(0.662007\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −18.0000 | − | 27.0000i | −0.761319 | − | 1.14198i | ||||
\(560\) | − | 12.0000i | − | 0.507093i | ||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 20.0000 | + | 20.0000i | 0.843649 | + | 0.843649i | ||||
\(563\) | 21.0000i | 0.885044i | 0.896758 | + | 0.442522i | \(0.145916\pi\) | ||||
−0.896758 | + | 0.442522i | \(0.854084\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.00000 | −0.252422 | ||||||||
\(566\) | 4.00000 | + | 4.00000i | 0.168133 | + | 0.168133i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.0000 | + | 10.0000i | −0.419591 | + | 0.419591i | ||||
\(569\) | −15.0000 | −0.628833 | −0.314416 | − | 0.949285i | \(-0.601809\pi\) | ||||
−0.314416 | + | 0.949285i | \(0.601809\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 5.00000i | − | 0.209243i | −0.994512 | − | 0.104622i | \(-0.966637\pi\) | ||
0.994512 | − | 0.104622i | \(-0.0333632\pi\) | |||||||
\(572\) | −8.00000 | − | 12.0000i | −0.334497 | − | 0.501745i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −30.0000 | + | 30.0000i | −1.25218 | + | 1.25218i | ||||
\(575\) | −24.0000 | −1.00087 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 18.0000i | − | 0.749350i | −0.927156 | − | 0.374675i | \(-0.877754\pi\) | ||
0.927156 | − | 0.374675i | \(-0.122246\pi\) | |||||||
\(578\) | −8.00000 | + | 8.00000i | −0.332756 | + | 0.332756i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 12.0000 | 0.498273 | ||||||||
\(581\) | − | 48.0000i | − | 1.99138i | ||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 12.0000i | − | 0.496989i | ||||||
\(584\) | −12.0000 | + | 12.0000i | −0.496564 | + | 0.496564i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.00000 | − | 1.00000i | 0.0413096 | − | 0.0413096i | ||||
\(587\) | 2.00000 | 0.0825488 | 0.0412744 | − | 0.999148i | \(-0.486858\pi\) | ||||
0.0412744 | + | 0.999148i | \(0.486858\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 10.0000 | − | 10.0000i | 0.411693 | − | 0.411693i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −12.0000 | −0.493197 | ||||||||
\(593\) | − | 14.0000i | − | 0.574911i | −0.957794 | − | 0.287456i | \(-0.907191\pi\) | ||
0.957794 | − | 0.287456i | \(-0.0928094\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 9.00000i | − | 0.368964i | ||||||
\(596\) | − | 20.0000i | − | 0.819232i | ||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −6.00000 | + | 30.0000i | −0.245358 | + | 1.22679i | ||||
\(599\) | 30.0000 | 1.22577 | 0.612883 | − | 0.790173i | \(-0.290010\pi\) | ||||
0.612883 | + | 0.790173i | \(0.290010\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 27.0000 | 1.10135 | 0.550676 | − | 0.834719i | \(-0.314370\pi\) | ||||
0.550676 | + | 0.834719i | \(0.314370\pi\) | |||||||
\(602\) | 27.0000 | − | 27.0000i | 1.10044 | − | 1.10044i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 30.0000 | 1.22068 | ||||||||
\(605\) | 7.00000 | 0.284590 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.0000 | −0.892952 | −0.446476 | − | 0.894795i | \(-0.647321\pi\) | ||||
−0.446476 | + | 0.894795i | \(0.647321\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.0000 | + | 10.0000i | 0.404888 | + | 0.404888i | ||||
\(611\) | 14.0000 | + | 21.0000i | 0.566379 | + | 0.849569i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.00000 | −0.242338 | −0.121169 | − | 0.992632i | \(-0.538664\pi\) | ||||
−0.121169 | + | 0.992632i | \(0.538664\pi\) | |||||||
\(614\) | 18.0000 | − | 18.0000i | 0.726421 | − | 0.726421i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 12.0000 | − | 12.0000i | 0.483494 | − | 0.483494i | ||||
\(617\) | 8.00000i | 0.322068i | 0.986949 | + | 0.161034i | \(0.0514829\pi\) | ||||
−0.986949 | + | 0.161034i | \(0.948517\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −30.0000 | −1.20580 | −0.602901 | − | 0.797816i | \(-0.705989\pi\) | ||||
−0.602901 | + | 0.797816i | \(0.705989\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.0000 | + | 12.0000i | −0.481156 | + | 0.481156i | ||||
\(623\) | 12.0000 | 0.480770 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | 9.00000 | − | 9.00000i | 0.359712 | − | 0.359712i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −36.0000 | −1.43656 | ||||||||
\(629\) | −9.00000 | −0.358854 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 45.0000i | − | 1.79142i | −0.444637 | − | 0.895711i | \(-0.646667\pi\) | ||
0.444637 | − | 0.895711i | \(-0.353333\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.00000 | − | 2.00000i | 0.0794301 | − | 0.0794301i | ||||
\(635\) | −18.0000 | −0.714308 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.00000 | − | 4.00000i | 0.237729 | − | 0.158486i | ||||
\(638\) | 12.0000 | + | 12.0000i | 0.475085 | + | 0.475085i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −8.00000 | − | 8.00000i | −0.316228 | − | 0.316228i | ||||
\(641\) | 18.0000 | 0.710957 | 0.355479 | − | 0.934684i | \(-0.384318\pi\) | ||||
0.355479 | + | 0.934684i | \(0.384318\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 24.0000 | 0.946468 | 0.473234 | − | 0.880937i | \(-0.343087\pi\) | ||||
0.473234 | + | 0.880937i | \(0.343087\pi\) | |||||||
\(644\) | −36.0000 | −1.41860 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −18.0000 | −0.707653 | −0.353827 | − | 0.935311i | \(-0.615120\pi\) | ||||
−0.353827 | + | 0.935311i | \(0.615120\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 20.0000 | 0.785069 | ||||||||
\(650\) | 4.00000 | − | 20.0000i | 0.156893 | − | 0.784465i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 12.0000i | 0.469956i | ||||||||
\(653\) | − | 24.0000i | − | 0.939193i | −0.882881 | − | 0.469596i | \(-0.844399\pi\) | ||
0.882881 | − | 0.469596i | \(-0.155601\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 15.0000i | − | 0.586098i | ||||||
\(656\) | 40.0000i | 1.56174i | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −21.0000 | + | 21.0000i | −0.818665 | + | 0.818665i | ||||
\(659\) | − | 36.0000i | − | 1.40236i | −0.712984 | − | 0.701180i | \(-0.752657\pi\) | ||
0.712984 | − | 0.701180i | \(-0.247343\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.0000 | −0.700119 | −0.350059 | − | 0.936727i | \(-0.613839\pi\) | ||||
−0.350059 | + | 0.936727i | \(0.613839\pi\) | |||||||
\(662\) | 12.0000 | − | 12.0000i | 0.466393 | − | 0.466393i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −32.0000 | − | 32.0000i | −1.24184 | − | 1.24184i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 36.0000i | − | 1.39393i | ||||||
\(668\) | 16.0000 | 0.619059 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 12.0000 | − | 12.0000i | 0.463600 | − | 0.463600i | ||||
\(671\) | 20.0000i | 0.772091i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.0000 | 0.732396 | 0.366198 | − | 0.930537i | \(-0.380659\pi\) | ||||
0.366198 | + | 0.930537i | \(0.380659\pi\) | |||||||
\(674\) | −27.0000 | + | 27.0000i | −1.04000 | + | 1.04000i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −24.0000 | − | 10.0000i | −0.923077 | − | 0.384615i | ||||
\(677\) | − | 12.0000i | − | 0.461197i | −0.973049 | − | 0.230599i | \(-0.925932\pi\) | ||
0.973049 | − | 0.230599i | \(-0.0740685\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −54.0000 | −2.07233 | ||||||||
\(680\) | −6.00000 | − | 6.00000i | −0.230089 | − | 0.230089i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −4.00000 | −0.153056 | −0.0765279 | − | 0.997067i | \(-0.524383\pi\) | ||||
−0.0765279 | + | 0.997067i | \(0.524383\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.00000i | 0.0764161i | ||||||||
\(686\) | −15.0000 | − | 15.0000i | −0.572703 | − | 0.572703i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | − | 36.0000i | − | 1.37249i | ||||||
\(689\) | −12.0000 | − | 18.0000i | −0.457164 | − | 0.685745i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 12.0000 | 0.456502 | 0.228251 | − | 0.973602i | \(-0.426699\pi\) | ||||
0.228251 | + | 0.973602i | \(0.426699\pi\) | |||||||
\(692\) | −48.0000 | −1.82469 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −27.0000 | − | 27.0000i | −1.02491 | − | 1.02491i | ||||
\(695\) | 9.00000i | 0.341389i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 30.0000i | 1.13633i | ||||||||
\(698\) | −15.0000 | + | 15.0000i | −0.567758 | + | 0.567758i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 24.0000 | 0.907115 | ||||||||
\(701\) | 30.0000i | 1.13308i | 0.824033 | + | 0.566542i | \(0.191719\pi\) | ||||
−0.824033 | + | 0.566542i | \(0.808281\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | − | 16.0000i | − | 0.603023i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 16.0000 | + | 16.0000i | 0.602168 | + | 0.602168i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 30.0000 | 1.12667 | 0.563337 | − | 0.826227i | \(-0.309517\pi\) | ||||
0.563337 | + | 0.826227i | \(0.309517\pi\) | |||||||
\(710\) | 5.00000 | + | 5.00000i | 0.187647 | + | 0.187647i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.00000 | − | 8.00000i | 0.299813 | − | 0.299813i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.00000 | + | 4.00000i | −0.224387 | + | 0.149592i | ||||
\(716\) | 18.0000 | 0.672692 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 4.00000 | + | 4.00000i | 0.149279 | + | 0.149279i | ||||
\(719\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 12.0000i | − | 0.446903i | ||||||
\(722\) | −19.0000 | + | 19.0000i | −0.707107 | + | 0.707107i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 24.0000i | 0.891338i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 18.0000 | 0.667583 | 0.333792 | − | 0.942647i | \(-0.391672\pi\) | ||||
0.333792 | + | 0.942647i | \(0.391672\pi\) | |||||||
\(728\) | 6.00000 | − | 30.0000i | 0.222375 | − | 1.11187i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 6.00000 | + | 6.00000i | 0.222070 | + | 0.222070i | ||||
\(731\) | − | 27.0000i | − | 0.998631i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −51.0000 | −1.88373 | −0.941864 | − | 0.335994i | \(-0.890928\pi\) | ||||
−0.941864 | + | 0.335994i | \(0.890928\pi\) | |||||||
\(734\) | 28.0000 | − | 28.0000i | 1.03350 | − | 1.03350i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −24.0000 | + | 24.0000i | −0.884652 | + | 0.884652i | ||||
\(737\) | 24.0000 | 0.884051 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 30.0000 | 1.10357 | 0.551784 | − | 0.833987i | \(-0.313947\pi\) | ||||
0.551784 | + | 0.833987i | \(0.313947\pi\) | |||||||
\(740\) | 6.00000i | 0.220564i | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 18.0000 | − | 18.0000i | 0.660801 | − | 0.660801i | ||||
\(743\) | − | 19.0000i | − | 0.697042i | −0.937301 | − | 0.348521i | \(-0.886684\pi\) | ||
0.937301 | − | 0.348521i | \(-0.113316\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10.0000 | −0.366372 | ||||||||
\(746\) | 4.00000 | + | 4.00000i | 0.146450 | + | 0.146450i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 12.0000i | − | 0.438763i | ||||||
\(749\) | −36.0000 | −1.31541 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 22.0000 | 0.802791 | 0.401396 | − | 0.915905i | \(-0.368525\pi\) | ||||
0.401396 | + | 0.915905i | \(0.368525\pi\) | |||||||
\(752\) | 28.0000i | 1.02105i | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 30.0000 | + | 6.00000i | 1.09254 | + | 0.218507i | ||||
\(755\) | − | 15.0000i | − | 0.545906i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 38.0000i | − | 1.38113i | −0.723269 | − | 0.690567i | \(-0.757361\pi\) | ||
0.723269 | − | 0.690567i | \(-0.242639\pi\) | |||||||
\(758\) | −30.0000 | + | 30.0000i | −1.08965 | + | 1.08965i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 10.0000i | 0.362500i | 0.983437 | + | 0.181250i | \(0.0580143\pi\) | ||||
−0.983437 | + | 0.181250i | \(0.941986\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 45.0000i | − | 1.62911i | ||||||
\(764\) | − | 36.0000i | − | 1.30243i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.00000 | + | 1.00000i | 0.0361315 | + | 0.0361315i | ||||
\(767\) | 30.0000 | − | 20.0000i | 1.08324 | − | 0.722158i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 36.0000i | 1.29819i | 0.760706 | + | 0.649097i | \(0.224853\pi\) | ||||
−0.760706 | + | 0.649097i | \(0.775147\pi\) | |||||||
\(770\) | −6.00000 | − | 6.00000i | −0.216225 | − | 0.216225i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 48.0000 | 1.72756 | ||||||||
\(773\) | −49.0000 | −1.76241 | −0.881204 | − | 0.472737i | \(-0.843266\pi\) | ||||
−0.881204 | + | 0.472737i | \(0.843266\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −36.0000 | + | 36.0000i | −1.29232 | + | 1.29232i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.00000 | − | 6.00000i | −0.215110 | − | 0.215110i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.0000i | 0.357828i | ||||||||
\(782\) | −18.0000 | + | 18.0000i | −0.643679 | + | 0.643679i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 8.00000 | 0.285714 | ||||||||
\(785\) | 18.0000i | 0.642448i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 18.0000 | 0.641631 | 0.320815 | − | 0.947142i | \(-0.396043\pi\) | ||||
0.320815 | + | 0.947142i | \(0.396043\pi\) | |||||||
\(788\) | 46.0000i | 1.63868i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 |