Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2717,1,Mod(142,2717)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2717, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 8]))
N = Newforms(chi, 1, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2717.142");
S:= CuspForms(chi, 1);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 2717 = 11 \cdot 13 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 2717.db (of order \(18\), degree \(6\), 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: | \(1.35595963932\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\Q(\zeta_{45})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{24} - x^{21} + x^{15} - x^{12} + x^{9} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Projective image: | \(D_{45}\) |
Projective field: | Galois closure of \(\mathbb{Q}[x]/(x^{45} - \cdots)\) |
Embedding invariants
Embedding label | 1429.2 | ||
Root | \(-0.719340 - 0.694658i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2717.1429 |
Dual form | 2717.1.db.d.1715.2 |
$q$-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 \(\left(\mathbb{Z}/2717\mathbb{Z}\right)^\times\).
\(n\) | \(210\) | \(287\) | \(2224\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.454664 | + | 0.165484i | 0.454664 | + | 0.165484i | 0.559193 | − | 0.829038i | \(-0.311111\pi\) |
−0.104528 | + | 0.994522i | \(0.533333\pi\) | |||||||
\(3\) | −0.346450 | − | 1.96482i | −0.346450 | − | 1.96482i | −0.241922 | − | 0.970296i | \(-0.577778\pi\) |
−0.104528 | − | 0.994522i | \(-0.533333\pi\) | |||||||
\(4\) | −0.586710 | − | 0.492308i | −0.586710 | − | 0.492308i | ||||
\(5\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(6\) | 0.167628 | − | 0.950665i | 0.167628 | − | 0.950665i | ||||
\(7\) | 0.374607 | − | 0.648838i | 0.374607 | − | 0.648838i | −0.615661 | − | 0.788011i | \(-0.711111\pi\) |
0.990268 | + | 0.139173i | \(0.0444444\pi\) | |||||||
\(8\) | −0.427209 | − | 0.739947i | −0.427209 | − | 0.739947i | ||||
\(9\) | −2.80079 | + | 1.01940i | −2.80079 | + | 1.01940i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(12\) | −0.764030 | + | 1.32334i | −0.764030 | + | 1.32334i | ||||
\(13\) | 0.173648 | − | 0.984808i | 0.173648 | − | 0.984808i | ||||
\(14\) | 0.277693 | − | 0.233012i | 0.277693 | − | 0.233012i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.0612094 | + | 0.347135i | 0.0612094 | + | 0.347135i | ||||
\(17\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(18\) | −1.44211 | −1.44211 | ||||||||
\(19\) | 0.438371 | + | 0.898794i | 0.438371 | + | 0.898794i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.40463 | − | 0.511244i | −1.40463 | − | 0.511244i | ||||
\(22\) | −0.0840186 | − | 0.476493i | −0.0840186 | − | 0.476493i | ||||
\(23\) | 0.0534691 | + | 0.0448659i | 0.0534691 | + | 0.0448659i | 0.669131 | − | 0.743145i | \(-0.266667\pi\) |
−0.615661 | + | 0.788011i | \(0.711111\pi\) | |||||||
\(24\) | −1.30585 | + | 1.09574i | −1.30585 | + | 1.09574i | ||||
\(25\) | 0.173648 | − | 0.984808i | 0.173648 | − | 0.984808i | ||||
\(26\) | 0.241922 | − | 0.419021i | 0.241922 | − | 0.419021i | ||||
\(27\) | 1.97571 | + | 3.42203i | 1.97571 | + | 3.42203i | ||||
\(28\) | −0.539213 | + | 0.196258i | −0.539213 | + | 0.196258i | ||||
\(29\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(32\) | −0.177984 | + | 1.00940i | −0.177984 | + | 1.00940i | ||||
\(33\) | −1.52836 | + | 1.28244i | −1.52836 | + | 1.28244i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.14511 | + | 0.780756i | 2.14511 | + | 0.780756i | ||||
\(37\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(38\) | 0.0505754 | + | 0.481193i | 0.0505754 | + | 0.481193i | ||||
\(39\) | −1.99513 | −1.99513 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.213817 | − | 1.21262i | −0.213817 | − | 1.21262i | −0.882948 | − | 0.469472i | \(-0.844444\pi\) |
0.669131 | − | 0.743145i | \(-0.266667\pi\) | |||||||
\(42\) | −0.554033 | − | 0.464889i | −0.554033 | − | 0.464889i | ||||
\(43\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(44\) | −0.132996 | + | 0.754260i | −0.132996 | + | 0.754260i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.0168859 | + | 0.0292472i | 0.0168859 | + | 0.0292472i | ||||
\(47\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(48\) | 0.660852 | − | 0.240530i | 0.660852 | − | 0.240530i | ||||
\(49\) | 0.219340 | + | 0.379908i | 0.219340 | + | 0.379908i | ||||
\(50\) | 0.241922 | − | 0.419021i | 0.241922 | − | 0.419021i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.586710 | + | 0.492308i | −0.586710 | + | 0.492308i | ||||
\(53\) | 0.856733 | + | 0.718885i | 0.856733 | + | 0.718885i | 0.961262 | − | 0.275637i | \(-0.0888889\pi\) |
−0.104528 | + | 0.994522i | \(0.533333\pi\) | |||||||
\(54\) | 0.331993 | + | 1.88283i | 0.331993 | + | 1.88283i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.640141 | −0.640141 | ||||||||
\(57\) | 1.61409 | − | 1.17271i | 1.61409 | − | 1.17271i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.387766 | + | 2.19913i | −0.387766 | + | 2.19913i | ||||
\(64\) | −0.0717168 | + | 0.124217i | −0.0717168 | + | 0.124217i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.907114 | + | 0.330162i | −0.907114 | + | 0.330162i | ||||
\(67\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.0696290 | − | 0.120601i | 0.0696290 | − | 0.120601i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(72\) | 1.95083 | + | 1.63694i | 1.95083 | + | 1.63694i | ||||
\(73\) | −0.280969 | − | 1.59345i | −0.280969 | − | 1.59345i | −0.719340 | − | 0.694658i | \(-0.755556\pi\) |
0.438371 | − | 0.898794i | \(-0.355556\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.99513 | −1.99513 | ||||||||
\(76\) | 0.185287 | − | 0.743145i | 0.185287 | − | 0.743145i | ||||
\(77\) | −0.749213 | −0.749213 | ||||||||
\(78\) | −0.907114 | − | 0.330162i | −0.907114 | − | 0.330162i | ||||
\(79\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.75596 | − | 3.15163i | 3.75596 | − | 3.15163i | ||||
\(82\) | 0.103454 | − | 0.586717i | 0.103454 | − | 0.586717i | ||||
\(83\) | −0.848048 | + | 1.46886i | −0.848048 | + | 1.46886i | 0.0348995 | + | 0.999391i | \(0.488889\pi\) |
−0.882948 | + | 0.469472i | \(0.844444\pi\) | |||||||
\(84\) | 0.572421 | + | 0.991462i | 0.572421 | + | 0.991462i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.427209 | + | 0.739947i | −0.427209 | + | 0.739947i | ||||
\(89\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.573931 | − | 0.481585i | −0.573931 | − | 0.481585i | ||||
\(92\) | −0.00928301 | − | 0.0526466i | −0.00928301 | − | 0.0526466i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.04494 | 2.04494 | ||||||||
\(97\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(98\) | 0.0368572 | + | 0.209028i | 0.0368572 | + | 0.209028i | ||||
\(99\) | 2.28322 | + | 1.91585i | 2.28322 | + | 1.91585i | ||||
\(100\) | −0.586710 | + | 0.492308i | −0.586710 | + | 0.492308i | ||||
\(101\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.882948 | + | 1.52931i | 0.882948 | + | 1.52931i | 0.848048 | + | 0.529919i | \(0.177778\pi\) |
0.0348995 | + | 0.999391i | \(0.488889\pi\) | |||||||
\(104\) | −0.802890 | + | 0.292228i | −0.802890 | + | 0.292228i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.270562 | + | 0.468627i | 0.270562 | + | 0.468627i | ||||
\(107\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(108\) | 0.525525 | − | 2.98040i | 0.525525 | − | 2.98040i | ||||
\(109\) | 1.39963 | − | 1.17443i | 1.39963 | − | 1.17443i | 0.438371 | − | 0.898794i | \(-0.355556\pi\) |
0.961262 | − | 0.275637i | \(-0.0888889\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.248164 | + | 0.0903243i | 0.248164 | + | 0.0903243i | ||||
\(113\) | −1.43868 | −1.43868 | −0.719340 | − | 0.694658i | \(-0.755556\pi\) | ||||
−0.719340 | + | 0.694658i | \(0.755556\pi\) | |||||||
\(114\) | 0.927935 | − | 0.266081i | 0.927935 | − | 0.266081i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.517565 | + | 2.93526i | 0.517565 | + | 2.93526i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.30849 | + | 0.840223i | −2.30849 | + | 0.840223i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.540225 | + | 0.935698i | −0.540225 | + | 0.935698i | ||||
\(127\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(128\) | 0.732008 | − | 0.614227i | 0.732008 | − | 0.614227i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(132\) | 1.52806 | 1.52806 | ||||||||
\(133\) | 0.747388 | + | 0.0522625i | 0.747388 | + | 0.0522625i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(138\) | 0.0516154 | − | 0.0433104i | 0.0516154 | − | 0.0433104i | ||||
\(139\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.939693 | + | 0.342020i | −0.939693 | + | 0.342020i | ||||
\(144\) | −0.525306 | − | 0.909856i | −0.525306 | − | 0.909856i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.135945 | − | 0.770982i | 0.135945 | − | 0.770982i | ||||
\(147\) | 0.670459 | − | 0.562582i | 0.670459 | − | 0.562582i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.339707 | − | 1.92657i | −0.339707 | − | 1.92657i | −0.374607 | − | 0.927184i | \(-0.622222\pi\) |
0.0348995 | − | 0.999391i | \(-0.488889\pi\) | |||||||
\(150\) | −0.907114 | − | 0.330162i | −0.907114 | − | 0.330162i | ||||
\(151\) | −1.00000 | −1.00000 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(152\) | 0.477784 | − | 0.708344i | 0.477784 | − | 0.708344i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.340641 | − | 0.123983i | −0.340641 | − | 0.123983i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1.17056 | + | 0.982217i | 1.17056 | + | 0.982217i | ||||
\(157\) | 1.02517 | − | 0.860218i | 1.02517 | − | 0.860218i | 0.0348995 | − | 0.999391i | \(-0.488889\pi\) |
0.990268 | + | 0.139173i | \(0.0444444\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.11566 | − | 1.93238i | 1.11566 | − | 1.93238i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.0491406 | − | 0.0178857i | 0.0491406 | − | 0.0178857i | ||||
\(162\) | 2.22925 | − | 0.811379i | 2.22925 | − | 0.811379i | ||||
\(163\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(164\) | −0.471532 | + | 0.816718i | −0.471532 | + | 0.816718i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.628651 | + | 0.527501i | −0.628651 | + | 0.527501i | ||||
\(167\) | −1.10209 | − | 0.924765i | −1.10209 | − | 0.924765i | −0.104528 | − | 0.994522i | \(-0.533333\pi\) |
−0.997564 | + | 0.0697565i | \(0.977778\pi\) | |||||||
\(168\) | 0.221777 | + | 1.25776i | 0.221777 | + | 1.25776i | ||||
\(169\) | −0.939693 | − | 0.342020i | −0.939693 | − | 0.342020i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.14402 | − | 2.07045i | −2.14402 | − | 2.07045i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.573931 | − | 0.481585i | −0.573931 | − | 0.481585i | ||||
\(176\) | 0.270023 | − | 0.226577i | 0.270023 | − | 0.226577i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.173648 | − | 0.300767i | −0.173648 | − | 0.300767i | 0.766044 | − | 0.642788i | \(-0.222222\pi\) |
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.80658 | + | 0.657542i | −1.80658 | + | 0.657542i | −0.809017 | + | 0.587785i | \(0.800000\pi\) |
−0.997564 | + | 0.0697565i | \(0.977778\pi\) | |||||||
\(182\) | −0.181251 | − | 0.313936i | −0.181251 | − | 0.313936i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.0103559 | − | 0.0587314i | 0.0103559 | − | 0.0587314i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.96046 | 2.96046 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.82709 | 1.82709 | 0.913545 | − | 0.406737i | \(-0.133333\pi\) | ||||
0.913545 | + | 0.406737i | \(0.133333\pi\) | |||||||
\(192\) | 0.268911 | + | 0.0978754i | 0.268911 | + | 0.0978754i | ||||
\(193\) | 0.0121205 | + | 0.0687386i | 0.0121205 | + | 0.0687386i | 0.990268 | − | 0.139173i | \(-0.0444444\pi\) |
−0.978148 | + | 0.207912i | \(0.933333\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0583428 | − | 0.330878i | 0.0583428 | − | 0.330878i | ||||
\(197\) | −0.961262 | + | 1.66495i | −0.961262 | + | 1.66495i | −0.241922 | + | 0.970296i | \(0.577778\pi\) |
−0.719340 | + | 0.694658i | \(0.755556\pi\) | |||||||
\(198\) | 0.721057 | + | 1.24891i | 0.721057 | + | 1.24891i | ||||
\(199\) | −0.823868 | + | 0.299864i | −0.823868 | + | 0.299864i | −0.719340 | − | 0.694658i | \(-0.755556\pi\) |
−0.104528 | + | 0.994522i | \(0.533333\pi\) | |||||||
\(200\) | −0.802890 | + | 0.292228i | −0.802890 | + | 0.292228i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.148368 | + | 0.841437i | 0.148368 | + | 0.841437i | ||||
\(207\) | −0.195492 | − | 0.0711533i | −0.195492 | − | 0.0711533i | ||||
\(208\) | 0.352491 | 0.352491 | ||||||||
\(209\) | 0.559193 | − | 0.829038i | 0.559193 | − | 0.829038i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(212\) | −0.148741 | − | 0.843553i | −0.148741 | − | 0.843553i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 1.68808 | − | 2.92384i | 1.68808 | − | 2.92384i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0.830713 | − | 0.302355i | 0.830713 | − | 0.302355i | ||||
\(219\) | −3.03350 | + | 1.10410i | −3.03350 | + | 1.10410i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(224\) | 0.588260 | + | 0.493609i | 0.588260 | + | 0.493609i | ||||
\(225\) | 0.517565 | + | 2.93526i | 0.517565 | + | 2.93526i | ||||
\(226\) | −0.654116 | − | 0.238079i | −0.654116 | − | 0.238079i | ||||
\(227\) | −1.61803 | −1.61803 | −0.809017 | − | 0.587785i | \(-0.800000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(228\) | −1.52434 | − | 0.106592i | −1.52434 | − | 0.106592i | ||||
\(229\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.259565 | + | 1.47207i | 0.259565 | + | 1.47207i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(234\) | −0.250420 | + | 1.42020i | −0.250420 | + | 1.42020i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.438371 | − | 0.759281i | −0.438371 | − | 0.759281i | 0.559193 | − | 0.829038i | \(-0.311111\pi\) |
−0.997564 | + | 0.0697565i | \(0.977778\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.294524 | − | 1.67033i | 0.294524 | − | 1.67033i | −0.374607 | − | 0.927184i | \(-0.622222\pi\) |
0.669131 | − | 0.743145i | \(-0.266667\pi\) | |||||||
\(242\) | −0.370646 | + | 0.311009i | −0.370646 | + | 0.311009i | ||||
\(243\) | −4.46666 | − | 3.74797i | −4.46666 | − | 3.74797i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.18863 | −1.18863 | ||||||||
\(247\) | 0.961262 | − | 0.275637i | 0.961262 | − | 0.275637i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.17985 | + | 1.15737i | 3.17985 | + | 1.15737i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.473442 | + | 0.397265i | 0.473442 | + | 0.397265i | 0.848048 | − | 0.529919i | \(-0.177778\pi\) |
−0.374607 | + | 0.927184i | \(0.622222\pi\) | |||||||
\(252\) | 1.31016 | − | 1.09935i | 1.31016 | − | 1.09935i | ||||
\(253\) | 0.0121205 | − | 0.0687386i | 0.0121205 | − | 0.0687386i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.569247 | − | 0.207189i | 0.569247 | − | 0.207189i | ||||
\(257\) | −0.580762 | + | 0.211380i | −0.580762 | + | 0.211380i | −0.615661 | − | 0.788011i | \(-0.711111\pi\) |
0.0348995 | + | 0.999391i | \(0.488889\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(264\) | 1.60187 | + | 0.583032i | 1.60187 | + | 0.583032i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.331162 | + | 0.147443i | 0.331162 | + | 0.147443i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −0.213817 | − | 1.21262i | −0.213817 | − | 1.21262i | −0.882948 | − | 0.469472i | \(-0.844444\pi\) |
0.669131 | − | 0.743145i | \(-0.266667\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.47274 | − | 1.23577i | 1.47274 | − | 1.23577i | 0.559193 | − | 0.829038i | \(-0.311111\pi\) |
0.913545 | − | 0.406737i | \(-0.133333\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.747388 | + | 1.29451i | −0.747388 | + | 1.29451i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.939693 | + | 0.342020i | −0.939693 | + | 0.342020i | ||||
\(276\) | −0.100225 | + | 0.0364788i | −0.100225 | + | 0.0364788i | ||||
\(277\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.47274 | + | 1.23577i | 1.47274 | + | 1.23577i | 0.913545 | + | 0.406737i | \(0.133333\pi\) |
0.559193 | + | 0.829038i | \(0.311111\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.483844 | −0.483844 | ||||||||
\(287\) | −0.866888 | − | 0.315522i | −0.866888 | − | 0.315522i | ||||
\(288\) | −0.530487 | − | 3.00854i | −0.530487 | − | 3.00854i | ||||
\(289\) | 0.766044 | + | 0.642788i | 0.766044 | + | 0.642788i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.619622 | + | 1.07322i | −0.619622 | + | 1.07322i | ||||
\(293\) | −0.766044 | − | 1.32683i | −0.766044 | − | 1.32683i | −0.939693 | − | 0.342020i | \(-0.888889\pi\) |
0.173648 | − | 0.984808i | \(-0.444444\pi\) | |||||||
\(294\) | 0.397932 | − | 0.144836i | 0.397932 | − | 0.144836i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.97571 | − | 3.42203i | 1.97571 | − | 3.42203i | ||||
\(298\) | 0.164365 | − | 0.932161i | 0.164365 | − | 0.932161i | ||||
\(299\) | 0.0534691 | − | 0.0448659i | 0.0534691 | − | 0.0448659i | ||||
\(300\) | 1.17056 | + | 0.982217i | 1.17056 | + | 0.982217i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −0.454664 | − | 0.165484i | −0.454664 | − | 0.165484i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.285171 | + | 0.207189i | −0.285171 | + | 0.207189i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.0603074 | + | 0.342020i | 0.0603074 | + | 0.342020i | 1.00000 | \(0\) | ||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(308\) | 0.439571 | + | 0.368844i | 0.439571 | + | 0.368844i | ||||
\(309\) | 2.69892 | − | 2.26466i | 2.69892 | − | 2.26466i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0.997564 | − | 1.72783i | 0.997564 | − | 1.72783i | 0.438371 | − | 0.898794i | \(-0.355556\pi\) |
0.559193 | − | 0.829038i | \(-0.311111\pi\) | |||||||
\(312\) | 0.852336 | + | 1.47629i | 0.852336 | + | 1.47629i | ||||
\(313\) | 1.83832 | − | 0.669092i | 1.83832 | − | 0.669092i | 0.848048 | − | 0.529919i | \(-0.177778\pi\) |
0.990268 | − | 0.139173i | \(-0.0444444\pi\) | |||||||
\(314\) | 0.608460 | − | 0.221461i | 0.608460 | − | 0.221461i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(318\) | 0.827031 | − | 0.693961i | 0.827031 | − | 0.693961i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.0253023 | 0.0253023 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −3.75523 | −3.75523 | ||||||||
\(325\) | −0.939693 | − | 0.342020i | −0.939693 | − | 0.342020i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2.79245 | − | 2.34314i | −2.79245 | − | 2.34314i | ||||
\(328\) | −0.805928 | + | 0.676254i | −0.805928 | + | 0.676254i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(332\) | 1.22069 | − | 0.444295i | 1.22069 | − | 0.444295i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.348048 | − | 0.602837i | −0.348048 | − | 0.602837i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.0914943 | − | 0.518890i | 0.0914943 | − | 0.518890i | ||||
\(337\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(338\) | −0.370646 | − | 0.311009i | −0.370646 | − | 0.311009i | ||||
\(339\) | 0.498431 | + | 2.82674i | 0.498431 | + | 2.82674i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −0.632181 | − | 1.29616i | −0.632181 | − | 1.29616i | ||||
\(343\) | 1.07788 | 1.07788 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.882948 | − | 1.52931i | 0.882948 | − | 1.52931i | 0.0348995 | − | 0.999391i | \(-0.488889\pi\) |
0.848048 | − | 0.529919i | \(-0.177778\pi\) | |||||||
\(350\) | −0.181251 | − | 0.313936i | −0.181251 | − | 0.313936i | ||||
\(351\) | 3.71312 | − | 1.35147i | 3.71312 | − | 1.35147i | ||||
\(352\) | 0.963155 | − | 0.350560i | 0.963155 | − | 0.350560i | ||||
\(353\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.0291794 | − | 0.165484i | −0.0291794 | − | 0.165484i | ||||
\(359\) | −0.0655896 | − | 0.0238727i | −0.0655896 | − | 0.0238727i | 0.309017 | − | 0.951057i | \(-0.400000\pi\) |
−0.374607 | + | 0.927184i | \(0.622222\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.615661 | + | 0.788011i | −0.615661 | + | 0.788011i | ||||
\(362\) | −0.930201 | −0.930201 | ||||||||
\(363\) | 1.87481 | + | 0.682374i | 1.87481 | + | 0.682374i | ||||
\(364\) | 0.0996426 | + | 0.565101i | 0.0996426 | + | 0.565101i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.280969 | + | 1.59345i | −0.280969 | + | 1.59345i | 0.438371 | + | 0.898794i | \(0.355556\pi\) |
−0.719340 | + | 0.694658i | \(0.755556\pi\) | |||||||
\(368\) | −0.0123017 | + | 0.0213072i | −0.0123017 | + | 0.0213072i | ||||
\(369\) | 1.83500 | + | 3.17832i | 1.83500 | + | 3.17832i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.787377 | − | 0.286582i | 0.787377 | − | 0.286582i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 1.34602 | + | 0.489909i | 1.34602 | + | 0.489909i | ||||
\(379\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.830713 | + | 0.302355i | 0.830713 | + | 0.302355i | ||||
\(383\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(384\) | −1.46045 | − | 1.22546i | −1.46045 | − | 1.22546i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −0.00586441 | + | 0.0332587i | −0.00586441 | + | 0.0332587i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.196449 | − | 0.0715017i | 0.196449 | − | 0.0715017i | −0.241922 | − | 0.970296i | \(-0.577778\pi\) |
0.438371 | + | 0.898794i | \(0.355556\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 0.187408 | − | 0.324600i | 0.187408 | − | 0.324600i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.712575 | + | 0.597922i | −0.712575 | + | 0.597922i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −0.396400 | − | 2.24810i | −0.396400 | − | 2.24810i | ||||
\(397\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(398\) | −0.424206 | −0.424206 | ||||||||
\(399\) | −0.156247 | − | 1.48659i | −0.156247 | − | 1.48659i | ||||
\(400\) | 0.352491 | 0.352491 | ||||||||
\(401\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.76604 | − | 0.642788i | 1.76604 | − | 0.642788i | 0.766044 | − | 0.642788i | \(-0.222222\pi\) |
1.00000 | \(0\) | |||||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.234858 | − | 1.33194i | 0.234858 | − | 1.33194i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −0.0771086 | − | 0.0647018i | −0.0771086 | − | 0.0647018i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.963155 | + | 0.350560i | 0.963155 | + | 0.350560i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.391438 | − | 0.284396i | 0.391438 | − | 0.284396i | ||||
\(419\) | −1.95630 | −1.95630 | −0.978148 | − | 0.207912i | \(-0.933333\pi\) | ||||
−0.978148 | + | 0.207912i | \(0.933333\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.165933 | − | 0.941051i | 0.165933 | − | 0.941051i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.997564 | + | 1.72783i | 0.997564 | + | 1.72783i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.306644 | + | 1.73907i | −0.306644 | + | 1.73907i | 0.309017 | + | 0.951057i | \(0.400000\pi\) |
−0.615661 | + | 0.788011i | \(0.711111\pi\) | |||||||
\(432\) | −1.06698 | + | 0.895300i | −1.06698 | + | 0.895300i | ||||
\(433\) | 0.671624 | + | 0.563559i | 0.671624 | + | 0.563559i | 0.913545 | − | 0.406737i | \(-0.133333\pi\) |
−0.241922 | + | 0.970296i | \(0.577778\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.39936 | −1.39936 | ||||||||
\(437\) | −0.0168859 | + | 0.0677257i | −0.0168859 | + | 0.0677257i | ||||
\(438\) | −1.56194 | −1.56194 | ||||||||
\(439\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.00160 | − | 0.840445i | −1.00160 | − | 0.840445i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 0.294524 | − | 1.67033i | 0.294524 | − | 1.67033i | −0.374607 | − | 0.927184i | \(-0.622222\pi\) |
0.669131 | − | 0.743145i | \(-0.266667\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −3.66768 | + | 1.33492i | −3.66768 | + | 1.33492i | ||||
\(448\) | 0.0537312 | + | 0.0930652i | 0.0537312 | + | 0.0930652i | ||||
\(449\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(450\) | −0.250420 | + | 1.42020i | −0.250420 | + | 1.42020i | ||||
\(451\) | −0.943248 | + | 0.791479i | −0.943248 | + | 0.791479i | ||||
\(452\) | 0.844087 | + | 0.708273i | 0.844087 | + | 0.708273i | ||||
\(453\) | 0.346450 | + | 1.96482i | 0.346450 | + | 1.96482i | ||||
\(454\) | −0.735663 | − | 0.267759i | −0.735663 | − | 0.267759i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.55730 | − | 0.693353i | −1.55730 | − | 0.693353i | ||||
\(457\) | 0.876742 | 0.876742 | 0.438371 | − | 0.898794i | \(-0.355556\pi\) | ||||
0.438371 | + | 0.898794i | \(0.355556\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.160147 | + | 0.134379i | −0.160147 | + | 0.134379i | −0.719340 | − | 0.694658i | \(-0.755556\pi\) |
0.559193 | + | 0.829038i | \(0.311111\pi\) | |||||||
\(462\) | −0.125589 | + | 0.712251i | −0.125589 | + | 0.712251i | ||||
\(463\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 0.939693 | + | 1.62760i | 0.939693 | + | 1.62760i | 0.766044 | + | 0.642788i | \(0.222222\pi\) |
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(468\) | 1.14139 | − | 1.97694i | 1.14139 | − | 1.97694i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −2.04534 | − | 1.71624i | −2.04534 | − | 1.71624i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.961262 | − | 0.275637i | 0.961262 | − | 0.275637i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.13236 | − | 1.14009i | −3.13236 | − | 1.14009i | ||||
\(478\) | −0.0736627 | − | 0.417762i | −0.0736627 | − | 0.417762i | ||||
\(479\) | 1.17365 | + | 0.984808i | 1.17365 | + | 0.984808i | 1.00000 | \(0\) | ||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0.410323 | − | 0.710700i | 0.410323 | − | 0.710700i | ||||
\(483\) | −0.0521669 | − | 0.0903558i | −0.0521669 | − | 0.0903558i | ||||
\(484\) | 0.719706 | − | 0.261952i | 0.719706 | − | 0.261952i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −1.41060 | − | 2.44323i | −1.41060 | − | 2.44323i | ||||
\(487\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(492\) | 1.76806 | + | 0.643523i | 1.76806 | + | 0.643523i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0.482665 | + | 0.0337512i | 0.482665 | + | 0.0337512i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 1.25424 | + | 1.05243i | 1.25424 | + | 1.05243i | ||||
\(499\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.43518 | + | 2.48580i | −1.43518 | + | 2.48580i | ||||
\(502\) | 0.149516 | + | 0.258969i | 0.149516 | + | 0.258969i | ||||
\(503\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(504\) | 1.79290 | − | 0.652562i | 1.79290 | − | 0.652562i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0.0168859 | − | 0.0292472i | 0.0168859 | − | 0.0292472i | ||||
\(507\) | −0.346450 | + | 1.96482i | −0.346450 | + | 1.96482i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.13914 | − | 0.414615i | −1.13914 | − | 0.414615i | ||||
\(512\) | −0.662466 | −0.662466 | ||||||||
\(513\) | −2.20961 | + | 3.27588i | −2.20961 | + | 3.27588i | ||||
\(514\) | −0.299032 | −0.299032 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −0.669131 | − | 1.15897i | −0.669131 | − | 1.15897i | −0.978148 | − | 0.207912i | \(-0.933333\pi\) |
0.309017 | − | 0.951057i | \(-0.400000\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.747388 | + | 1.29451i | −0.747388 | + | 1.29451i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −0.538731 | − | 0.452049i | −0.538731 | − | 0.452049i | ||||
\(529\) | −0.172802 | − | 0.980010i | −0.172802 | − | 0.980010i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.412771 | − | 0.398608i | −0.412771 | − | 0.398608i | ||||
\(533\) | −1.23132 | −1.23132 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.530793 | + | 0.445388i | −0.530793 | + | 0.445388i | ||||
\(538\) | 0.103454 | − | 0.586717i | 0.103454 | − | 0.586717i | ||||
\(539\) | 0.219340 | − | 0.379908i | 0.219340 | − | 0.379908i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.86110 | + | 0.677383i | −1.86110 | + | 0.677383i | −0.882948 | + | 0.469472i | \(0.844444\pi\) |
−0.978148 | + | 0.207912i | \(0.933333\pi\) | |||||||
\(542\) | 0.874103 | − | 0.318147i | 0.874103 | − | 0.318147i | ||||
\(543\) | 1.91784 | + | 3.32180i | 1.91784 | + | 3.32180i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.554033 | + | 0.464889i | −0.554033 | + | 0.464889i | ||||
\(547\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.483844 | −0.483844 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −0.118984 | −0.118984 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.213817 | + | 1.21262i | −0.213817 | + | 1.21262i | 0.669131 | + | 0.743145i | \(0.266667\pi\) |
−0.882948 | + | 0.469472i | \(0.844444\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.465101 | + | 0.805578i | 0.465101 | + | 0.805578i | ||||
\(563\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.637886 | − | 3.61763i | −0.637886 | − | 3.61763i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(572\) | 0.719706 | + | 0.261952i | 0.719706 | + | 0.261952i | ||||
\(573\) | −0.632996 | − | 3.58990i | −0.632996 | − | 3.58990i | ||||
\(574\) | −0.341929 | − | 0.286913i | −0.341929 | − | 0.286913i | ||||
\(575\) | 0.0534691 | − | 0.0448659i | 0.0534691 | − | 0.0448659i | ||||
\(576\) | 0.0742362 | − | 0.421014i | 0.0742362 | − | 0.421014i | ||||
\(577\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(578\) | 0.241922 | + | 0.419021i | 0.241922 | + | 0.419021i | ||||
\(579\) | 0.130860 | − | 0.0476290i | 0.130860 | − | 0.0476290i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.635369 | + | 1.10049i | 0.635369 | + | 1.10049i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.194206 | − | 1.10140i | 0.194206 | − | 1.10140i | ||||
\(584\) | −1.05904 | + | 0.888639i | −1.05904 | + | 0.888639i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.128724 | − | 0.730030i | −0.128724 | − | 0.730030i | ||||
\(587\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(588\) | −0.670328 | −0.670328 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.60436 | + | 1.31188i | 3.60436 | + | 1.31188i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 1.02517 | + | 0.860218i | 1.02517 | + | 0.860218i | 0.990268 | − | 0.139173i | \(-0.0444444\pi\) |
0.0348995 | + | 0.999391i | \(0.488889\pi\) | |||||||
\(594\) | 1.46458 | − | 1.22893i | 1.46458 | − | 1.22893i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −0.749159 | + | 1.29758i | −0.749159 | + | 1.29758i | ||||
\(597\) | 0.874607 | + | 1.51486i | 0.874607 | + | 1.51486i | ||||
\(598\) | 0.0317351 | − | 0.0115506i | 0.0317351 | − | 0.0115506i | ||||
\(599\) | 0.454664 | − | 0.165484i | 0.454664 | − | 0.165484i | −0.104528 | − | 0.994522i | \(-0.533333\pi\) |
0.559193 | + | 0.829038i | \(0.311111\pi\) | |||||||
\(600\) | 0.852336 | + | 1.47629i | 0.852336 | + | 1.47629i | ||||
\(601\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.586710 | + | 0.492308i | 0.586710 | + | 0.492308i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(608\) | −0.985262 | + | 0.282519i | −0.985262 | + | 0.282519i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.10209 | + | 0.924765i | −1.10209 | + | 0.924765i | −0.997564 | − | 0.0697565i | \(-0.977778\pi\) |
−0.104528 | + | 0.994522i | \(0.533333\pi\) | |||||||
\(614\) | −0.0291794 | + | 0.165484i | −0.0291794 | + | 0.165484i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.320070 | + | 0.554378i | 0.320070 | + | 0.554378i | ||||
\(617\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(618\) | 1.60187 | − | 0.583032i | 1.60187 | − | 0.583032i | ||||
\(619\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.0478931 | + | 0.271615i | −0.0478931 | + | 0.271615i | ||||
\(622\) | 0.739486 | − | 0.620502i | 0.739486 | − | 0.620502i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −0.122121 | − | 0.692580i | −0.122121 | − | 0.692580i | ||||
\(625\) | −0.939693 | − | 0.342020i | −0.939693 | − | 0.342020i | ||||
\(626\) | 0.946541 | 0.946541 | ||||||||
\(627\) | −1.82264 | − | 0.811492i | −1.82264 | − | 0.811492i | ||||
\(628\) | −1.02497 | −1.02497 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.60590 | + | 0.584499i | −1.60590 | + | 0.584499i | ||||
\(637\) | 0.412224 | − | 0.150037i | 0.412224 | − | 0.150037i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.35275 | + | 1.13510i | −1.35275 | + | 1.13510i | −0.374607 | + | 0.927184i | \(0.622222\pi\) |
−0.978148 | + | 0.207912i | \(0.933333\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(644\) | −0.0376365 | − | 0.0136986i | −0.0376365 | − | 0.0136986i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1.92252 | 1.92252 | 0.961262 | − | 0.275637i | \(-0.0888889\pi\) | ||||
0.961262 | + | 0.275637i | \(0.0888889\pi\) | |||||||
\(648\) | −3.93662 | − | 1.43281i | −3.93662 | − | 1.43281i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −0.370646 | − | 0.311009i | −0.370646 | − | 0.311009i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −0.766044 | + | 1.32683i | −0.766044 | + | 1.32683i | 0.173648 | + | 0.984808i | \(0.444444\pi\) |
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(654\) | −0.881873 | − | 1.52745i | −0.881873 | − | 1.52745i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.407855 | − | 0.148447i | 0.407855 | − | 0.148447i | ||||
\(657\) | 2.41130 | + | 4.17650i | 2.41130 | + | 4.17650i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0 | 0 | −0.766044 | − | 0.642788i | \(-0.777778\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.44917 | 1.44917 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0.191339 | + | 1.08514i | 0.191339 | + | 1.08514i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0.766049 | − | 1.32684i | 0.766049 | − | 1.32684i | ||||
\(673\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.71312 | − | 1.35147i | 3.71312 | − | 1.35147i | ||||
\(676\) | 0.382948 | + | 0.663285i | 0.382948 | + | 0.663285i | ||||
\(677\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(678\) | −0.241163 | + | 1.36770i | −0.241163 | + | 1.36770i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.560568 | + | 3.17914i | 0.560568 | + | 3.17914i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(684\) | 0.238615 | + | 2.27027i | 0.238615 | + | 2.27027i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0.490073 | + | 0.178372i | 0.490073 | + | 0.178372i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.856733 | − | 0.718885i | 0.856733 | − | 0.718885i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.09839 | − | 0.763750i | 2.09839 | − | 0.763750i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 0.654522 | − | 0.549209i | 0.654522 | − | 0.549209i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.0996426 | + | 0.565101i | 0.0996426 | + | 0.565101i | ||||
\(701\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(702\) | 1.91187 | 1.91187 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 0.143434 | 0.143434 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −0.0461891 | + | 0.261952i | −0.0461891 | + | 0.261952i | ||||
\(717\) | −1.33998 | + | 1.12437i | −1.33998 | + | 1.12437i | ||||
\(718\) | −0.0258707 | − | 0.0217081i | −0.0258707 | − | 0.0217081i | ||||
\(719\) | 0.266044 | + | 1.50881i | 0.266044 | + | 1.50881i | 0.766044 | + | 0.642788i | \(0.222222\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.32303 | 1.32303 | ||||||||
\(722\) | −0.410323 | + | 0.256398i | −0.410323 | + | 0.256398i | ||||
\(723\) | −3.38393 | −3.38393 | ||||||||
\(724\) | 1.38365 | + | 0.503608i | 1.38365 | + | 0.503608i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.739486 | + | 0.620502i | 0.739486 | + | 0.620502i | ||||
\(727\) | −0.573931 | + | 0.481585i | −0.573931 | + | 0.481585i | −0.882948 | − | 0.469472i | \(-0.844444\pi\) |
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(728\) | −0.111159 | + | 0.630416i | −0.111159 | + | 0.630416i | ||||
\(729\) | −3.36508 | + | 5.82848i | −3.36508 | + | 5.82848i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.848048 | − | 1.46886i | −0.848048 | − | 1.46886i | −0.882948 | − | 0.469472i | \(-0.844444\pi\) |
0.0348995 | − | 0.999391i | \(-0.488889\pi\) | |||||||
\(734\) | −0.391438 | + | 0.677990i | −0.391438 | + | 0.677990i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0548041 | + | 0.0459861i | −0.0548041 | + | 0.0459861i | ||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0.308348 | + | 1.74873i | 0.308348 | + | 1.74873i | ||||
\(739\) | 1.15707 | + | 0.421137i | 1.15707 | + | 0.421137i | 0.848048 | − | 0.529919i | \(-0.177778\pi\) |
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.874607 | − | 1.79321i | −0.874607 | − | 1.79321i | ||||
\(742\) | 0.405417 | 0.405417 | ||||||||
\(743\) | −0.326352 | − | 0.118782i | −0.326352 | − | 0.118782i | 0.173648 | − | 0.984808i | \(-0.444444\pi\) |
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.877839 | − | 4.97847i | 0.877839 | − | 4.97847i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.196449 | − | 0.0715017i | 0.196449 | − | 0.0715017i | −0.241922 | − | 0.970296i | \(-0.577778\pi\) |
0.438371 | + | 0.898794i | \(0.355556\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.616528 | − | 1.06786i | 0.616528 | − | 1.06786i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −1.73693 | − | 1.45746i | −1.73693 | − | 1.45746i | ||||
\(757\) | 0.107320 | + | 0.608645i | 0.107320 | + | 0.608645i | 0.990268 | + | 0.139173i | \(0.0444444\pi\) |
−0.882948 | + | 0.469472i | \(0.844444\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.139258 | −0.139258 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.98054 | 1.98054 | 0.990268 | − | 0.139173i | \(-0.0444444\pi\) | ||||
0.990268 | + | 0.139173i | \(0.0444444\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.237704 | − | 1.34808i | −0.237704 | − | 1.34808i | ||||
\(764\) | −1.07197 | − | 0.899491i | −1.07197 | − | 0.899491i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −0.604304 | − | 1.04668i | −0.604304 | − | 1.04668i | ||||
\(769\) | 1.15707 | − | 0.421137i | 1.15707 | − | 0.421137i | 0.309017 | − | 0.951057i | \(-0.400000\pi\) |
0.848048 | + | 0.529919i | \(0.177778\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.616528 | + | 1.06786i | 0.616528 | + | 1.06786i | ||||
\(772\) | 0.0267294 | − | 0.0462966i | 0.0267294 | − | 0.0462966i | ||||
\(773\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.101151 | 0.101151 | ||||||||
\(779\) | 0.996161 | − | 0.723753i | 0.996161 | − | 0.723753i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.118454 | + | 0.0993945i | −0.118454 | + | 0.0993945i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.374607 | + | 0.648838i | 0.374607 | + | 0.648838i | 0.990268 | − | 0.139173i | \(-0.0444444\pi\) |
−0.615661 | + | 0.788011i | \(0.711111\pi\) | |||||||
\(788\) | 1.38365 | − | 0.503608i | 1.38365 | − | 0.503608i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.538939 | + | 0.933469i | −0.538939 | + | 0.933469i | ||||
\(792\) | 0.442216 | − | 2.50793i | 0.442216 | − | 2.50793i | ||||
\(793\) | 0 | 0 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.630997 | + | 0.229664i | 0.630997 | + | 0.229664i | ||||
\(797\) | 1.53209 | 1.53209 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
0.766044 | + | 0.642788i | \(0.222222\pi\) | |||||||
\(798\) | 0.174967 | − | 0.701755i | 0.174967 | − | 0.701755i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 0.963155 | + | 0.350560i | 0.963155 | + | 0.350560i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1.23949 | + | 1.04005i | −1.23949 | + | 1.04005i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.30849 | + | 0.840223i | −2.30849 | + | 0.840223i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.343916 | − | 1.95045i | 0.343916 | − | 1.95045i | 0.0348995 | − | 0.999391i | \(-0.488889\pi\) |
0.309017 | − | 0.951057i | \(-0.400000\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.93830 | − | 2.46553i | −2.93830 | − | 2.46553i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0.909329 | 0.909329 | ||||||||
\(819\) | 2.09839 | + | 0.763750i | 2.09839 | + | 0.763750i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.766044 | − | 0.642788i | −0.766044 | − | 0.642788i | 0.173648 | − | 0.984808i | \(-0.444444\pi\) |
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.107320 | − | 0.608645i | 0.107320 | − | 0.608645i | −0.882948 | − | 0.469472i | \(-0.844444\pi\) |
0.990268 | − | 0.139173i | \(-0.0444444\pi\) | |||||||
\(824\) | 0.754406 | − | 1.30667i | 0.754406 | − | 1.30667i | ||||
\(825\) | 0.997564 | + | 1.72783i | 0.997564 | + | 1.72783i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 0.196449 | − | 0.0715017i | 0.196449 | − | 0.0715017i | −0.241922 | − | 0.970296i | \(-0.577778\pi\) |
0.438371 | + | 0.898794i | \(0.355556\pi\) | |||||||
\(828\) | 0.0796678 | + | 0.137989i | 0.0796678 | + | 0.137989i | ||||
\(829\) | −0.309017 | + | 0.535233i | −0.309017 | + | 0.535233i | −0.978148 | − | 0.207912i | \(-0.933333\pi\) |
0.669131 | + | 0.743145i | \(0.266667\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.109877 | + | 0.0921974i | 0.109877 | + | 0.0921974i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −0.736226 | + | 0.211109i | −0.736226 | + | 0.211109i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.889458 | − | 0.323736i | −0.889458 | − | 0.323736i | ||||
\(839\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.766044 | − | 0.642788i | 0.766044 | − | 0.642788i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 1.91784 | − | 3.32180i | 1.91784 | − | 3.32180i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.374607 | + | 0.648838i | 0.374607 | + | 0.648838i | ||||
\(848\) | −0.197110 | + | 0.341405i | −0.197110 | + | 0.341405i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0.454664 | + | 0.165484i | 0.454664 | + | 0.165484i | 0.559193 | − | 0.829038i | \(-0.311111\pi\) |
−0.104528 | + | 0.994522i | \(0.533333\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(858\) | 0.167628 | + | 0.950665i | 0.167628 | + | 0.950665i | ||||
\(859\) | 1.47274 | + | 1.23577i | 1.47274 | + | 1.23577i | 0.913545 | + | 0.406737i | \(0.133333\pi\) |
0.559193 | + | 0.829038i | \(0.311111\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.319609 | + | 1.81259i | −0.319609 | + | 1.81259i | ||||
\(862\) | −0.427209 | + | 0.739947i | −0.427209 | + | 0.739947i | ||||
\(863\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(864\) | −3.80583 | + | 1.38521i | −3.80583 | + | 1.38521i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0.212103 | + | 0.367373i | 0.212103 | + | 0.367373i | ||||
\(867\) | 0.997564 | − | 1.72783i | 0.997564 | − | 1.72783i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −1.46695 | − | 0.533927i | −1.46695 | − | 0.533927i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.0188850 | + | 0.0279981i | −0.0188850 | + | 0.0279981i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 2.32334 | + | 0.845628i | 2.32334 | + | 0.845628i | ||||
\(877\) | −0.280969 | − | 1.59345i | −0.280969 | − | 1.59345i | −0.719340 | − | 0.694658i | \(-0.755556\pi\) |
0.438371 | − | 0.898794i | \(-0.355556\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −2.34158 | + | 1.96482i | −2.34158 | + | 1.96482i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −0.559193 | + | 0.968551i | −0.559193 | + | 0.968551i | 0.438371 | + | 0.898794i | \(0.355556\pi\) |
−0.997564 | + | 0.0697565i | \(0.977778\pi\) | |||||||
\(882\) | −0.316313 | − | 0.547870i | −0.316313 | − | 0.547870i | ||||
\(883\) | 1.87481 | − | 0.682374i | 1.87481 | − | 0.682374i | 0.913545 | − | 0.406737i | \(-0.133333\pi\) |
0.961262 | − | 0.275637i | \(-0.0888889\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.410323 | − | 0.710700i | 0.410323 | − | 0.710700i | ||||
\(887\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −4.60737 | − | 1.67695i | −4.60737 | − | 1.67695i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −1.88847 | −1.88847 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.124319 | − | 0.705048i | −0.124319 | − | 0.705048i | ||||
\(897\) | −0.106678 | − | 0.0895133i | −0.106678 | − | 0.0895133i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 1.14139 | − | 1.97694i | 1.14139 | − | 1.97694i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −0.559839 | + | 0.203765i | −0.559839 | + | 0.203765i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.614616 | + | 1.06455i | 0.614616 | + | 1.06455i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −0.167628 | + | 0.950665i | −0.167628 | + | 0.950665i | ||||
\(907\) | 0.473442 | − | 0.397265i | 0.473442 | − | 0.397265i | −0.374607 | − | 0.927184i | \(-0.622222\pi\) |
0.848048 | + | 0.529919i | \(0.177778\pi\) | |||||||
\(908\) | 0.949316 | + | 0.796571i | 0.949316 | + | 0.796571i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0.0697990 | 0.0697990 | 0.0348995 | − | 0.999391i | \(-0.488889\pi\) | ||||
0.0348995 | + | 0.999391i | \(0.488889\pi\) | |||||||
\(912\) | 0.505886 | + | 0.488528i | 0.505886 | + | 0.488528i | ||||
\(913\) | 1.69610 | 1.69610 | ||||||||
\(914\) | 0.398624 | + | 0.145087i | 0.398624 | + | 0.145087i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.651114 | − | 0.236986i | 0.651114 | − | 0.236986i | ||||
\(922\) | −0.0950508 | + | 0.0345956i | −0.0950508 | + | 0.0345956i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0.572421 | − | 0.991462i | 0.572421 | − | 0.991462i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.03193 | − | 3.38319i | −4.03193 | − | 3.38319i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 0 | 0 | −0.939693 | − | 0.342020i | \(-0.888889\pi\) | ||||
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.245307 | + | 0.363682i | −0.245307 | + | 0.363682i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −3.74048 | − | 1.36142i | −3.74048 | − | 1.36142i | ||||
\(934\) | 0.157903 | + | 0.895514i | 0.157903 | + | 0.895514i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 1.95083 | − | 1.63694i | 1.95083 | − | 1.63694i | ||||
\(937\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.95153 | − | 3.38015i | −1.95153 | − | 3.38015i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0.196449 | − | 0.0715017i | 0.196449 | − | 0.0715017i | −0.241922 | − | 0.970296i | \(-0.577778\pi\) |
0.438371 | + | 0.898794i | \(0.355556\pi\) | |||||||
\(942\) | −0.645932 | − | 1.11879i | −0.645932 | − | 1.11879i | ||||
\(943\) | 0.0429726 | − | 0.0744306i | 0.0429726 | − | 0.0744306i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.61803 | −1.61803 | ||||||||
\(950\) | 0.482665 | + | 0.0337512i | 0.482665 | + | 0.0337512i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(954\) | −1.23551 | − | 1.03671i | −1.23551 | − | 1.03671i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −0.116603 | + | 0.661291i | −0.116603 | + | 0.661291i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.370646 | + | 0.641977i | 0.370646 | + | 0.641977i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.995116 | + | 0.835002i | −0.995116 | + | 0.835002i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −0.00876599 | − | 0.0497144i | −0.00876599 | − | 0.0497144i | ||||
\(967\) | 1.35192 | + | 0.492057i | 1.35192 | + | 0.492057i | 0.913545 | − | 0.406737i | \(-0.133333\pi\) |
0.438371 | + | 0.898794i | \(0.355556\pi\) | |||||||
\(968\) | 0.854417 | 0.854417 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.196449 | + | 0.0715017i | 0.196449 | + | 0.0715017i | 0.438371 | − | 0.898794i | \(-0.355556\pi\) |
−0.241922 | + | 0.970296i | \(0.577778\pi\) | |||||||
\(972\) | 0.775476 | + | 4.39794i | 0.775476 | + | 4.39794i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.346450 | + | 1.96482i | −0.346450 | + | 1.96482i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.72286 | + | 4.71612i | −2.72286 | + | 4.71612i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 0 | 0 | 0.766044 | − | 0.642788i | \(-0.222222\pi\) | ||||
−0.766044 | + | 0.642788i | \(0.777778\pi\) | |||||||
\(984\) | 1.60793 | + | 1.34921i | 1.60793 | + | 1.34921i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.699680 | − | 0.311518i | −0.699680 | − | 0.311518i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0.194206 | + | 1.10140i | 0.194206 | + | 1.10140i | 0.913545 | + | 0.406737i | \(0.133333\pi\) |
−0.719340 | + | 0.694658i | \(0.755556\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −1.29587 | − | 2.24451i | −1.29587 | − | 2.24451i | ||||
\(997\) | 0 | 0 | 0.939693 | − | 0.342020i | \(-0.111111\pi\) | ||||
−0.939693 | + | 0.342020i | \(0.888889\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 2717.1.db.d.1429.2 | yes | 24 | |
11.10 | odd | 2 | 2717.1.db.c.1429.3 | ✓ | 24 | ||
13.12 | even | 2 | 2717.1.db.c.1429.3 | ✓ | 24 | ||
19.5 | even | 9 | inner | 2717.1.db.d.1715.2 | yes | 24 | |
143.142 | odd | 2 | CM | 2717.1.db.d.1429.2 | yes | 24 | |
209.43 | odd | 18 | 2717.1.db.c.1715.3 | yes | 24 | ||
247.233 | even | 18 | 2717.1.db.c.1715.3 | yes | 24 | ||
2717.1715 | odd | 18 | inner | 2717.1.db.d.1715.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
2717.1.db.c.1429.3 | ✓ | 24 | 11.10 | odd | 2 | ||
2717.1.db.c.1429.3 | ✓ | 24 | 13.12 | even | 2 | ||
2717.1.db.c.1715.3 | yes | 24 | 209.43 | odd | 18 | ||
2717.1.db.c.1715.3 | yes | 24 | 247.233 | even | 18 | ||
2717.1.db.d.1429.2 | yes | 24 | 1.1 | even | 1 | trivial | |
2717.1.db.d.1429.2 | yes | 24 | 143.142 | odd | 2 | CM | |
2717.1.db.d.1715.2 | yes | 24 | 19.5 | even | 9 | inner | |
2717.1.db.d.1715.2 | yes | 24 | 2717.1715 | odd | 18 | inner |